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, 1202, 496, 9813, 2072, 529, 784, 3211, 528, 506, 756, 112543, 29187, 236789, 8038, 600, 659, 5633, 855, 529, 2862, 236761, 9187, 684, 67896, 506, 2587, 1698, 1694, 236764, 1299, 5957, 573, 600, 8038, 532, 2426, 18241, 4981, 236761, 1637, 993, 236789, 236751, 614, 3165, 42788, 506, 1262, 236764, 2056, 1570, 237028, 1580, 563, 573, 614, 2132, 4430, 5395, 16922, 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, 236770, 236771, 236770, 827, 623, 1201, 1083, 623, 131895, 827, 623, 10618, 1083, 623, 112543, 29187, 827, 623, 9707, 1083, 236743, 236770, 236810, 236771, 236761, 236771, 236764, 623, 46589, 236779, 4818, 1083, 623, 495, 236779, 14973, 23179, 3714, 5930, 236779, 547, 1083, 623, 236770, 236771, 236778, 827, 623, 1201, 1083, 623, 214272, 19559, 827, 623, 10618, 1083, 623, 112543, 29187, 827, 623, 9707, 1083, 236743, 236828, 236771, 236761, 236771, 236764, 623, 46589, 236779, 4818, 1083, 623, 725, 236779, 1340, 236779, 14973, 23179, 3714, 5930, 236779, 547, 1083, 623, 236770, 236771, 236800, 827, 623, 1201, 1083, 623, 164729, 188603, 827, 623, 10618, 1083, 623, 112543, 29187, 827, 623, 9707, 1083, 236743, 236810, 236771, 236761, 236771, 236764, 623, 46589, 236779, 4818, 1083, 623, 725, 236779, 1340, 236779, 14973, 23179, 3714, 5930, 236779, 547, 1083, 623, 236770, 236771, 236812, 827, 623, 1201, 1083, 623, 174652, 13332, 827, 623, 10618, 1083, 623, 197756, 827, 623, 9707, 1083, 236743, 236800, 236771, 236761, 236771, 236764, 623, 46589, 236779, 4818, 1083, 623, 495, 236779, 14973, 23179, 3714, 5930, 236779, 547, 1083, 623, 236770, 236771, 236810, 827, 623, 1201, 1083, 623, 181887, 85291, 827, 623, 10618, 1083, 623, 20057, 17634, 827, 623, 9707, 1083, 236743, 236770, 236778, 236771, 236761, 236771, 236764, 623, 46589, 236779, 4818, 1083, 623, 495, 236779, 14973, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 2072, 529, 756, 112543, 29187, 236789, 3211, 5633, 855, 529, 2862, 236787, 108, 1018, 9640, 5641, 529, 13827, 16767, 53121, 236743, 236778, 108, 236770, 236761, 5213, 7163, 5853, 53121, 236743, 236770, 236771, 236778, 138, 107, 139, 1018, 1567, 53121, 115000, 19559, 138, 107, 139, 1018, 12962, 53121, 46586, 29187, 138, 107, 139, 1018, 11280, 53121, 609, 236828, 236771, 236761, 236771, 236771, 138, 107, 139, 1018, 37625, 18365, 53121, 5641, 529, 13827, 138, 108, 236778, 236761, 5213, 7163, 5853, 53121, 236743, 236770, 236771, 236800, 138, 107, 139, 1018, 1567, 53121, 82534, 188603, 138, 107, 139, 1018, 12962, 53121, 46586, 29187, 138, 107, 139, 1018, 11280, 53121, 609, 236810, 236771, 236761, 236771, 236771, 138, 107, 139, 1018, 37625, 18365, 53121, 5641, 529, 13827, 138, 108, 2100, 10428, 52236, 532, 24271, 236761, 1174, 2072, 5132, 784, 3211, 16590, 822, 13138, 573, 506, 4430, 5395, 16922, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 9813, 2072, 529, 784, 3211, 528, 506, 756, 112543, 29187, 236789, 8038, 600, 659, 5633, 855, 529, 2862, 236761, 9187, 684, 67896, 506, 2587, 1698, 1694, 236764, 1299, 5957, 573, 600, 8038, 532, 2426, 18241, 4981, 236761, 1637, 993, 236789, 236751, 614, 3165, 42788, 506, 1262, 236764, 2056, 1570, 237028, 1580, 563, 573, 614, 2132, 4430, 5395, 16922, 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, 236770, 236771, 236770, 827, 623, 1201, 1083, 623, 131895, 827, 623, 10618, 1083, 623, 112543, 29187, 827, 623, 9707, 1083, 236743, 236770, 236810, 236771, 236761, 236771, 236764, 623, 46589, 236779, 4818, 1083, 623, 495, 236779, 14973, 23179, 3714, 5930, 236779, 547, 1083, 623, 236770, 236771, 236778, 827, 623, 1201, 1083, 623, 214272, 19559, 827, 623, 10618, 1083, 623, 112543, 29187, 827, 623, 9707, 1083, 236743, 236828, 236771, 236761, 236771, 236764, 623, 46589, 236779, 4818, 1083, 623, 725, 236779, 1340, 236779, 14973, 23179, 3714, 5930, 236779, 547, 1083, 623, 236770, 236771, 236800, 827, 623, 1201, 1083, 623, 164729, 188603, 827, 623, 10618, 1083, 623, 112543, 29187, 827, 623, 9707, 1083, 236743, 236810, 236771, 236761, 236771, 236764, 623, 46589, 236779, 4818, 1083, 623, 725, 236779, 1340, 236779, 14973, 23179, 3714, 5930, 236779, 547, 1083, 623, 236770, 236771, 236812, 827, 623, 1201, 1083, 623, 174652, 13332, 827, 623, 10618, 1083, 623, 197756, 827, 623, 9707, 1083, 236743, 236800, 236771, 236761, 236771, 236764, 623, 46589, 236779, 4818, 1083, 623, 495, 236779, 14973, 23179, 3714, 5930, 236779, 547, 1083, 623, 236770, 236771, 236810, 827, 623, 1201, 1083, 623, 181887, 85291, 827, 623, 10618, 1083, 623, 20057, 17634, 827, 623, 9707, 1083, 236743, 236770, 236778, 236771, 236761, 236771, 236764, 623, 46589, 236779, 4818, 1083, 623, 495, 236779, 14973, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 2072, 529, 756, 112543, 29187, 236789, 3211, 5633, 855, 529, 2862, 236787, 108, 1018, 9640, 5641, 529, 13827, 16767, 53121, 236743, 236778, 108, 236770, 236761, 5213, 7163, 5853, 53121, 236743, 236770, 236771, 236778, 138, 107, 139, 1018, 1567, 53121, 115000, 19559, 138, 107, 139, 1018, 12962, 53121, 46586, 29187, 138, 107, 139, 1018, 11280, 53121, 609, 236828, 236771, 236761, 236771, 236771, 138, 107, 139, 1018, 37625, 18365, 53121, 5641, 529, 13827, 138, 108, 236778, 236761, 5213, 7163, 5853, 53121, 236743, 236770, 236771, 236800, 138, 107, 139, 1018, 1567, 53121, 82534, 188603, 138, 107, 139, 1018, 12962, 53121, 46586, 29187, 138, 107, 139, 1018, 11280, 53121, 609, 236810, 236771, 236761, 236771, 236771, 138, 107, 139, 1018, 37625, 18365, 53121, 5641, 529, 13827, 138, 108, 2100, 10428, 52236, 532, 24271, 236761, 1174, 2072, 5132, 784, 3211, 16590, 822, 13138, 573, 506, 4430, 5395, 16922, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 6845, 506, 28100, 529, 15049, 756, 236792, 7018, 236825, 236832, 236828, 236789, 532, 3011, 506, 756, 52531, 236779, 66846, 236789, 15297, 528, 34654, 236847, 6518, 236761, 106, 107, 105, 4368, 107, 2021, 3421, 822, 2864, 236764, 564, 236789, 859, 1500, 1239, 6555, 236787, 108, 236770, 236761, 5213, 55268, 52505, 756, 236792, 7018, 236825, 236832, 236828, 236789, 1018, 138, 107, 139, 17123, 506, 2165, 37947, 236779, 24618, 236929, 5904, 236787, 138, 107, 139, 2717, 6719, 107, 139, 21318, 236779, 37947, 236769, 37947, 236779, 547, 718, 236792, 7018, 236825, 236832, 236828, 1373, 107, 139, 2717, 138, 107, 139, 1018, 4116, 53121, 138, 107, 139, 236772, 1637, 4341, 236787, 101685, 531, 33205, 506, 15297, 236761, 138, 107, 139, 236772, 1637, 19070, 236787, 87644, 611, 531, 2847, 496, 4341, 15049, 236761, 108, 236778, 236761, 5213, 163501, 756, 52531, 236779, 66846, 236789, 50375, 528, 34654, 236847, 36353, 1018, 138, 107, 139, 83033, 506, 15049, 563, 4341, 236764, 1161, 506, 2165, 1516, 236779, 4243, 3986, 1111, 236929, 5904, 236787, 138, 107, 139, 2717, 6719, 107, 139, 94507, 236779, 17749, 236769, 37947, 236779, 547, 718, 236792, 7018, 236825, 236832, 236828, 827, 15297, 236779, 1201, 718, 52531, 236779, 66846, 827, 6518, 718, 132297, 1373, 107, 139, 2717, 138, 107, 139, 1018, 8433, 53121, 138, 107, 139, 236776, 34654, 236847, 236772, 61332, 15297, 795, 577, 8323, 653, 10683, 16445, 236761, 108, 7243, 108, 1018, 17667, 25685, 53121, 138, 107, 236777, 795, 1171, 18855, 15049, 756, 236792, 7018, 236825, 236832, 236828, 6748, 1637, 4341, 236764, 564, 795, 33205, 506, 756, 52531, 236779, 66846, 236789, 15297, 528, 34654, 236847, 6518, 236761, 1637, 506, 15049, 563, 19070, 236764, 564, 795, 1573, 611, 531, 2847, 496, 4341, 886, 236761, 3792, 786, 2426, 506, 15049, 28100, 1492, 236761, 138, 108, 1018, 51181, 55163, 11130, 53121, 138, 107, 236772, 5213, 13280, 53121, 113452, 101685, 522, 531, 33205, 506, 15297, 236761, 138, 107, 236772, 5213, 18331, 53121, 236743, 242523, 7323, 2847, 496, 4341, 15049, 5853, 236761, 138, 108, 1018, 41032, 195344, 11130, 53121, 138, 107, 236772, 5213, 5911, 236847, 5774, 53121, 138, 107, 138, 2717, 132297, 107, 138, 5909, 255968, 547, 107, 138, 15455, 255968, 236770, 107, 138, 26393, 255968, 236778, 107, 138, 589, 3916, 835, 255968, 236800, 107, 138, 2717, 138, 107, 138, 236769, 12703, 3938, 236793, 5396, 1262, 9796, 580, 506, 1458, 2907, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28100, 529, 15049, 756, 236792, 7018, 236825, 236832, 236828, 236789, 532, 3011, 506, 756, 52531, 236779, 66846, 236789, 15297, 528, 34654, 236847, 6518, 236761, 106, 107, 105, 4368, 107, 2021, 3421, 822, 2864, 236764, 564, 236789, 859, 1500, 1239, 6555, 236787, 108, 236770, 236761, 5213, 55268, 52505, 756, 236792, 7018, 236825, 236832, 236828, 236789, 1018, 138, 107, 139, 17123, 506, 2165, 37947, 236779, 24618, 236929, 5904, 236787, 138, 107, 139, 2717, 6719, 107, 139, 21318, 236779, 37947, 236769, 37947, 236779, 547, 718, 236792, 7018, 236825, 236832, 236828, 1373, 107, 139, 2717, 138, 107, 139, 1018, 4116, 53121, 138, 107, 139, 236772, 1637, 4341, 236787, 101685, 531, 33205, 506, 15297, 236761, 138, 107, 139, 236772, 1637, 19070, 236787, 87644, 611, 531, 2847, 496, 4341, 15049, 236761, 108, 236778, 236761, 5213, 163501, 756, 52531, 236779, 66846, 236789, 50375, 528, 34654, 236847, 36353, 1018, 138, 107, 139, 83033, 506, 15049, 563, 4341, 236764, 1161, 506, 2165, 1516, 236779, 4243, 3986, 1111, 236929, 5904, 236787, 138, 107, 139, 2717, 6719, 107, 139, 94507, 236779, 17749, 236769, 37947, 236779, 547, 718, 236792, 7018, 236825, 236832, 236828, 827, 15297, 236779, 1201, 718, 52531, 236779, 66846, 827, 6518, 718, 132297, 1373, 107, 139, 2717, 138, 107, 139, 1018, 8433, 53121, 138, 107, 139, 236776, 34654, 236847, 236772, 61332, 15297, 795, 577, 8323, 653, 10683, 16445, 236761, 108, 7243, 108, 1018, 17667, 25685, 53121, 138, 107, 236777, 795, 1171, 18855, 15049, 756, 236792, 7018, 236825, 236832, 236828, 6748, 1637, 4341, 236764, 564, 795, 33205, 506, 756, 52531, 236779, 66846, 236789, 15297, 528, 34654, 236847, 6518, 236761, 1637, 506, 15049, 563, 19070, 236764, 564, 795, 1573, 611, 531, 2847, 496, 4341, 886, 236761, 3792, 786, 2426, 506, 15049, 28100, 1492, 236761, 138, 108, 1018, 51181, 55163, 11130, 53121, 138, 107, 236772, 5213, 13280, 53121, 113452, 101685, 522, 531, 33205, 506, 15297, 236761, 138, 107, 236772, 5213, 18331, 53121, 236743, 242523, 7323, 2847, 496, 4341, 15049, 5853, 236761, 138, 108, 1018, 41032, 195344, 11130, 53121, 138, 107, 236772, 5213, 5911, 236847, 5774, 53121, 138, 107, 138, 2717, 132297, 107, 138, 5909, 255968, 547, 107, 138, 15455, 255968, 236770, 107, 138, 26393, 255968, 236778, 107, 138, 589, 3916, 835, 255968, 236800, 107, 138, 2717, 138, 107, 138, 236769, 12703, 3938, 236793, 5396, 1262, 9796, 580, 506, 1458, 2907, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 30923, 496, 3435, 2777, 4009, 130184, 573, 1023, 2263, 3399, 7972, 75693, 236761, 5315, 236764, 2426, 768, 506, 15345, 12948, 17224, 192042, 67986, 6914, 236775, 7519, 580, 506, 5058, 1699, 14017, 236779, 37475, 236761, 1637, 901, 776, 236764, 33205, 910, 8781, 4889, 607, 14017, 236779, 2364, 3906, 236764, 1299, 18840, 910, 15154, 19455, 532, 4803, 2948, 4588, 607, 14017, 236779, 187671, 531, 6054, 768, 910, 9998, 100146, 607, 1023, 49115, 3399, 236761, 1637, 901, 1537, 236789, 236745, 2849, 236764, 3600, 9302, 2263, 49115, 10789, 692, 1451, 4313, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4706, 236779, 547, 1083, 623, 1393, 236863, 236779, 236819, 236828, 236832, 236825, 236810, 827, 623, 547, 1083, 623, 225686, 236779, 236812, 236800, 236778, 236770, 236771, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 225686, 236779, 236812, 236800, 236778, 236770, 236771, 827, 623, 38116, 236779, 2451, 1083, 623, 2574, 1411, 10494, 236761, 22504, 19099, 236761, 854, 236786, 12641, 236786, 16745, 14121, 29677, 48020, 6914, 236761, 4034, 827, 623, 76647, 1083, 236743, 236770, 236828, 236819, 236771, 236771, 236764, 623, 71524, 1083, 236743, 236778, 236800, 236812, 236764, 623, 6725, 236779, 56652, 236779, 55696, 1083, 236743, 236812, 236770, 236778, 236810, 236771, 236771, 236764, 623, 10540, 236779, 23251, 1083, 3714, 6725, 236779, 40232, 1083, 236743, 236828, 236819, 236764, 623, 28128, 236779, 13084, 236779, 721, 236779, 10540, 1083, 236743, 236778, 236825, 236832, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236771, 236761, 236770, 236812, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 92506, 236779, 29263, 1083, 3714, 18553, 236779, 56652, 236779, 721, 236779, 3274, 1083, 236743, 236770, 236778, 236812, 236810, 236771, 236764, 623, 18553, 236779, 26329, 236779, 721, 236779, 3274, 1083, 236743, 236828, 236819, 236771, 236764, 623, 92506, 236779, 4720, 1083, 623, 236832, 236761, 236778, 70887, 623, 45882, 236779, 58043, 1083, 623, 72348, 23179, 623, 235707, 236779, 32677, 1083, 3714, 3991, 236779, 137112, 4073, 1083, 11058, 236865, 66057, 105411, 3999, 827, 13659, 56003, 22515, 58106, 827, 13659, 174779, 217242, 14255, 623, 83168, 236779, 26358, 1083, 623, 236778, 236761, 236770, 236792, 827, 623, 18553, 236779, 235707, 236779, 205088, 236779, 495, 236779, 16043, 1083, 623, 236812, 236828, 3885, 23179, 623, 109219, 236779, 27521, 1083, 3714, 19995, 236779, 658, 878, 1083, 11058, 236940, 115232, 616, 58142, 6654, 827, 12948, 147716, 19242, 827, 12948, 13149, 137187, 14255, 623, 65775, 236779, 109219, 236779, 18553, 1083, 236743, 236770, 236778, 236764, 623, 152303, 236779, 108575, 1083, 623, 236825, 236828, 236908, 607, 49115, 8904, 23179, 623, 43852, 236779, 10540, 236779, 13692, 1083, 3714, 5455, 236779, 236800, 236771, 236779, 14356, 236779, 10540, 236779, 13084, 1083, 236743, 236800, 236812, 236778, 236771, 236771, 236771, 236764, 623, 18553, 236779, 10540, 236779, 11636, 236779, 2289, 1083, 623, 236832, 236778, 70887, 623, 3991, 236779, 10540, 236779, 51996, 1083, 11058, 854, 120136, 236779, 63875, 827, 623, 21877, 236779, 51015, 827, 623, 37939, 236779, 45312, 236779, 9636, 1749, 152254, 623, 28263, 236779, 6011, 1083, 623, 51757, 25000, 607, 49115, 3399, 1343, 9958, 3004, 11381, 236764, 14076, 9998, 86236, 236764, 532, 17597, 13859, 607, 28597, 236772, 41889, 13965, 236761, 34980, 2948, 3004, 3831, 1494, 27215, 6224, 532, 60194, 10562, 36787, 1781, 236783, 106, 107, 105, 4368, 107, 22515, 580, 506, 13611, 3671, 236764, 5213, 236940, 17224, 192042, 67986, 6914, 1018, 563, 614, 7516, 130184, 573, 822, 2263, 3399, 7972, 75693, 236761, 5715, 236789, 236751, 3217, 236787, 108, 236770, 236761, 5213, 40282, 1812, 77453, 1018, 138, 107, 139, 236772, 236743, 236825, 236828, 236908, 9998, 28981, 607, 49115, 8904, 138, 107, 139, 236772, 8231, 118252, 3204, 997, 66057, 105411, 3999, 532, 997, 174779, 217242, 138, 107, 139, 236772, 73224, 42298, 28597, 236772, 72726, 1133, 1392, 115232, 616, 58142, 6654, 532, 1392, 147716, 19242, 138, 108, 236778, 236761, 5213, 227187, 116589, 1018, 138, 107, 139, 236772, 236743, 236832, 236761, 236778, 236908, 15154, 3136, 568, 46779, 4398, 573, 36989, 8904, 236768, 138, 107, 139, 236772, 236743, 236770, 236778, 236764, 236812, 236810, 236771, 4398, 15975, 810, 1868, 532, 236743, 236828, 236819, 236771, 236862, 8968, 138, 107, 139, 236772, 132707, 3877, 7003, 607, 236743, 236770, 236828, 236761, 236819, 236767, 23073, 138, 108, 236800, 236761, 5213, 4795, 202571, 1018, 138, 107, 139, 236772, 34980, 2948, 14050, 236787, 144413, 236764, 11363, 6485, 236764, 532, 7972, 1386, 34106, 138, 107, 139, 236772, 236743, 236832, 236778, 236908, 4398, 4526, 990, 580, 10103, 568, 44740, 1090, 3325, 3004, 236768, 138, 107, 139, 236772, 236743, 236800, 236812, 236778, 236767, 2948, 8208, 528, 506, 1774, 236743, 236800, 236771, 2668, 138, 108, 236812, 236761, 5213, 46640, 27938, 1018, 138, 107, 139, 236772, 236743, 236825, 236828, 236908, 9998, 28981, 607, 49115, 8904, 138, 107, 139, 236772, 40073, 1090, 16789, 607, 28597, 236772, 41889, 13965, 236786, 102925, 138, 107, 139, 236772, 236743, 236778, 236761, 236770, 236792, 9292, 5370, 1343, 1903, 118252, 138, 108, 1018, 211199, 66515, 101685, 607, 43285, 236888, 9963, 9998, 86236, 532, 3004, 3213, 12117, 8913, 607, 822, 49115, 75693, 7675, 236761, 1701, 21609, 3835, 236764, 692, 1451, 11327, 10789, 607, 3361, 19455, 528, 506, 66616, 10964, 2433, 768, 4354, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 30923, 496, 3435, 2777, 4009, 130184, 573, 1023, 2263, 3399, 7972, 75693, 236761, 5315, 236764, 2426, 768, 506, 15345, 12948, 17224, 192042, 67986, 6914, 236775, 7519, 580, 506, 5058, 1699, 14017, 236779, 37475, 236761, 1637, 901, 776, 236764, 33205, 910, 8781, 4889, 607, 14017, 236779, 2364, 3906, 236764, 1299, 18840, 910, 15154, 19455, 532, 4803, 2948, 4588, 607, 14017, 236779, 187671, 531, 6054, 768, 910, 9998, 100146, 607, 1023, 49115, 3399, 236761, 1637, 901, 1537, 236789, 236745, 2849, 236764, 3600, 9302, 2263, 49115, 10789, 692, 1451, 4313, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4706, 236779, 547, 1083, 623, 1393, 236863, 236779, 236819, 236828, 236832, 236825, 236810, 827, 623, 547, 1083, 623, 225686, 236779, 236812, 236800, 236778, 236770, 236771, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 225686, 236779, 236812, 236800, 236778, 236770, 236771, 827, 623, 38116, 236779, 2451, 1083, 623, 2574, 1411, 10494, 236761, 22504, 19099, 236761, 854, 236786, 12641, 236786, 16745, 14121, 29677, 48020, 6914, 236761, 4034, 827, 623, 76647, 1083, 236743, 236770, 236828, 236819, 236771, 236771, 236764, 623, 71524, 1083, 236743, 236778, 236800, 236812, 236764, 623, 6725, 236779, 56652, 236779, 55696, 1083, 236743, 236812, 236770, 236778, 236810, 236771, 236771, 236764, 623, 10540, 236779, 23251, 1083, 3714, 6725, 236779, 40232, 1083, 236743, 236828, 236819, 236764, 623, 28128, 236779, 13084, 236779, 721, 236779, 10540, 1083, 236743, 236778, 236825, 236832, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236771, 236761, 236770, 236812, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 92506, 236779, 29263, 1083, 3714, 18553, 236779, 56652, 236779, 721, 236779, 3274, 1083, 236743, 236770, 236778, 236812, 236810, 236771, 236764, 623, 18553, 236779, 26329, 236779, 721, 236779, 3274, 1083, 236743, 236828, 236819, 236771, 236764, 623, 92506, 236779, 4720, 1083, 623, 236832, 236761, 236778, 70887, 623, 45882, 236779, 58043, 1083, 623, 72348, 23179, 623, 235707, 236779, 32677, 1083, 3714, 3991, 236779, 137112, 4073, 1083, 11058, 236865, 66057, 105411, 3999, 827, 13659, 56003, 22515, 58106, 827, 13659, 174779, 217242, 14255, 623, 83168, 236779, 26358, 1083, 623, 236778, 236761, 236770, 236792, 827, 623, 18553, 236779, 235707, 236779, 205088, 236779, 495, 236779, 16043, 1083, 623, 236812, 236828, 3885, 23179, 623, 109219, 236779, 27521, 1083, 3714, 19995, 236779, 658, 878, 1083, 11058, 236940, 115232, 616, 58142, 6654, 827, 12948, 147716, 19242, 827, 12948, 13149, 137187, 14255, 623, 65775, 236779, 109219, 236779, 18553, 1083, 236743, 236770, 236778, 236764, 623, 152303, 236779, 108575, 1083, 623, 236825, 236828, 236908, 607, 49115, 8904, 23179, 623, 43852, 236779, 10540, 236779, 13692, 1083, 3714, 5455, 236779, 236800, 236771, 236779, 14356, 236779, 10540, 236779, 13084, 1083, 236743, 236800, 236812, 236778, 236771, 236771, 236771, 236764, 623, 18553, 236779, 10540, 236779, 11636, 236779, 2289, 1083, 623, 236832, 236778, 70887, 623, 3991, 236779, 10540, 236779, 51996, 1083, 11058, 854, 120136, 236779, 63875, 827, 623, 21877, 236779, 51015, 827, 623, 37939, 236779, 45312, 236779, 9636, 1749, 152254, 623, 28263, 236779, 6011, 1083, 623, 51757, 25000, 607, 49115, 3399, 1343, 9958, 3004, 11381, 236764, 14076, 9998, 86236, 236764, 532, 17597, 13859, 607, 28597, 236772, 41889, 13965, 236761, 34980, 2948, 3004, 3831, 1494, 27215, 6224, 532, 60194, 10562, 36787, 1781, 236783, 106, 107, 105, 4368, 107, 22515, 580, 506, 13611, 3671, 236764, 5213, 236940, 17224, 192042, 67986, 6914, 1018, 563, 614, 7516, 130184, 573, 822, 2263, 3399, 7972, 75693, 236761, 5715, 236789, 236751, 3217, 236787, 108, 236770, 236761, 5213, 40282, 1812, 77453, 1018, 138, 107, 139, 236772, 236743, 236825, 236828, 236908, 9998, 28981, 607, 49115, 8904, 138, 107, 139, 236772, 8231, 118252, 3204, 997, 66057, 105411, 3999, 532, 997, 174779, 217242, 138, 107, 139, 236772, 73224, 42298, 28597, 236772, 72726, 1133, 1392, 115232, 616, 58142, 6654, 532, 1392, 147716, 19242, 138, 108, 236778, 236761, 5213, 227187, 116589, 1018, 138, 107, 139, 236772, 236743, 236832, 236761, 236778, 236908, 15154, 3136, 568, 46779, 4398, 573, 36989, 8904, 236768, 138, 107, 139, 236772, 236743, 236770, 236778, 236764, 236812, 236810, 236771, 4398, 15975, 810, 1868, 532, 236743, 236828, 236819, 236771, 236862, 8968, 138, 107, 139, 236772, 132707, 3877, 7003, 607, 236743, 236770, 236828, 236761, 236819, 236767, 23073, 138, 108, 236800, 236761, 5213, 4795, 202571, 1018, 138, 107, 139, 236772, 34980, 2948, 14050, 236787, 144413, 236764, 11363, 6485, 236764, 532, 7972, 1386, 34106, 138, 107, 139, 236772, 236743, 236832, 236778, 236908, 4398, 4526, 990, 580, 10103, 568, 44740, 1090, 3325, 3004, 236768, 138, 107, 139, 236772, 236743, 236800, 236812, 236778, 236767, 2948, 8208, 528, 506, 1774, 236743, 236800, 236771, 2668, 138, 108, 236812, 236761, 5213, 46640, 27938, 1018, 138, 107, 139, 236772, 236743, 236825, 236828, 236908, 9998, 28981, 607, 49115, 8904, 138, 107, 139, 236772, 40073, 1090, 16789, 607, 28597, 236772, 41889, 13965, 236786, 102925, 138, 107, 139, 236772, 236743, 236778, 236761, 236770, 236792, 9292, 5370, 1343, 1903, 118252, 138, 108, 1018, 211199, 66515, 101685, 607, 43285, 236888, 9963, 9998, 86236, 532, 3004, 3213, 12117, 8913, 607, 822, 49115, 75693, 7675, 236761, 1701, 21609, 3835, 236764, 692, 1451, 11327, 10789, 607, 3361, 19455, 528, 506, 66616, 10964, 2433, 768, 4354, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1502, 614, 3489, 154213, 1960, 532, 1202, 822, 1601, 607, 3131, 9395, 236761, 5715, 236789, 236751, 1144, 564, 1202, 3028, 2918, 684, 2918, 236787, 236743, 236770, 236761, 5315, 236764, 2426, 768, 506, 58362, 15345, 623, 31317, 62300, 6654, 236775, 563, 2487, 1699, 506, 58362, 15345, 5904, 236761, 1637, 625, 236789, 236751, 3523, 236764, 8729, 496, 4709, 15345, 532, 8918, 8376, 600, 5132, 623, 31317, 62300, 236775, 528, 625, 236761, 236743, 236778, 236761, 12067, 236764, 2426, 506, 1873, 23058, 531, 35594, 15130, 8770, 4668, 2338, 564, 236789, 236757, 68112, 1070, 6436, 699, 3879, 236761, 1637, 993, 236789, 236751, 5676, 4668, 1003, 506, 23058, 87629, 2342, 35594, 236764, 4721, 1590, 532, 1531, 786, 1281, 236761, 1637, 506, 4668, 563, 4414, 653, 12643, 236764, 7162, 531, 506, 2148, 2918, 236761, 236743, 236800, 236761, 15325, 531, 7408, 236743, 236770, 236771, 6630, 529, 506, 623, 107332, 3331, 1965, 5833, 236775, 699, 506, 3489, 4762, 657, 154213, 236772, 71703, 236761, 854, 236761, 1637, 506, 7408, 20269, 236764, 2426, 1041, 31880, 1929, 28971, 12562, 4083, 573, 3421, 623, 236771, 236781, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 108250, 236775, 531, 9128, 564, 735, 7271, 8775, 236761, 1637, 8775, 659, 7271, 840, 506, 7408, 2036, 20269, 236764, 52312, 506, 7408, 607, 496, 236743, 236810, 236908, 3715, 4314, 11317, 236761, 236743, 236812, 236761, 13472, 236764, 12270, 786, 506, 6524, 154213, 7200, 12714, 699, 8038, 5853, 236743, 236812, 236810, 236825, 568, 5168, 25421, 11221, 833, 34296, 236768, 531, 4196, 10448, 580, 3956, 15067, 236761, 39694, 1546, 2918, 85363, 532, 1531, 786, 1281, 768, 1027, 4342, 21426, 1913, 506, 1657, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18700, 1083, 2416, 236764, 623, 4375, 1083, 623, 818, 15345, 756, 31317, 62300, 6654, 236789, 563, 3016, 3523, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 31317, 62300, 236779, 236832, 236828, 236819, 236771, 827, 623, 8707, 1083, 623, 236746, 236799, 236800, 236888, 236781, 236874, 236819, 236940, 236802, 236794, 236810, 236908, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 38556, 128900, 236751, 38104, 35594, 124148, 21714, 12329, 31880, 1929, 827, 623, 6265, 1083, 623, 36991, 40703, 827, 623, 6011, 1083, 623, 818, 2590, 15285, 22656, 236743, 236770, 236761, 236778, 236908, 2342, 506, 14135, 618, 36579, 47109, 7245, 23225, 3136, 71634, 699, 506, 9852, 21616, 10498, 623, 126775, 1083, 623, 30558, 23179, 3714, 3250, 1083, 623, 66574, 74395, 1788, 69850, 531, 79800, 969, 528, 1366, 236800, 827, 623, 6265, 1083, 623, 169880, 827, 623, 6011, 1083, 623, 112146, 4773, 35594, 236786, 38556, 531, 1586, 1894, 657, 236743, 236770, 236761, 236771, 236810, 1984, 9785, 1873, 97273, 23437, 10498, 623, 126775, 1083, 623, 45258, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 623, 10069, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 4818, 1083, 623, 87877, 827, 623, 104094, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 6725, 236779, 13304, 1083, 623, 236812, 236828, 236771, 236761, 236771, 236771, 23058, 827, 623, 84339, 236779, 50257, 1083, 623, 236810, 236772, 236832, 1960, 2668, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 72456, 1083, 78493, 3250, 1083, 623, 236810, 58178, 10013, 25421, 33879, 573, 159088, 827, 623, 3955, 1083, 623, 30354, 1217, 531, 9668, 66986, 174363, 1416, 236764, 4864, 506, 1447, 3863, 11261, 236764, 532, 4883, 18669, 5646, 236761, 49308, 496, 110718, 60218, 573, 6514, 872, 822, 1171, 154213, 6410, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 49789, 3331, 1965, 57939, 607, 7936, 25373, 827, 623, 3955, 1083, 623, 25261, 33148, 75408, 532, 11277, 981, 1699, 6079, 6436, 236761, 25772, 2918, 236772, 2003, 236772, 9340, 6704, 39516, 11261, 236772, 71524, 8403, 532, 5904, 7275, 30981, 573, 1607, 3863, 4458, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236771, 236828, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 174779, 10013, 555, 53273, 15308, 827, 623, 3955, 1083, 623, 3910, 531, 8701, 103432, 45869, 35400, 532, 981, 607, 101922, 5417, 236761, 49308, 496, 12229, 529, 187116, 236772, 94636, 25684, 528, 4695, 5711, 532, 3879, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 236774, 236770, 236800, 236787, 236770, 236832, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4133, 4981, 529, 822, 3489, 154213, 1960, 10884, 9395, 236787, 108, 236770, 236761, 85878, 18365, 236787, 138, 107, 242523, 623, 31317, 62300, 6654, 236775, 563, 47713, 138, 107, 240732, 60257, 9302, 236787, 138, 107, 139, 236772, 85878, 236787, 10013, 62300, 236779, 236832, 236828, 236819, 236771, 138, 107, 139, 236772, 35716, 236787, 496, 236799, 236800, 236888, 236781, 236874, 236819, 236940, 236802, 236794, 236810, 236908, 138, 108, 236778, 236761, 59547, 7074, 12579, 236787, 138, 107, 245353, 44771, 23058, 236786, 79271, 7074, 236787, 138, 107, 139, 236772, 2590, 15285, 16531, 236743, 236770, 236761, 236778, 236908, 2342, 14135, 138, 107, 139, 236772, 101685, 522, 607, 6693, 23163, 563, 27661, 138, 108, 236800, 236761, 7303, 44511, 125145, 236787, 138, 107, 246727, 32173, 3331, 1965, 5833, 568, 236770, 236771, 6630, 1473, 138, 107, 139, 236772, 12045, 5853, 236787, 157005, 236770, 236778, 236800, 236812, 236810, 236825, 138, 107, 139, 236772, 12613, 236787, 609, 236812, 236828, 236771, 236761, 236771, 236771, 23058, 138, 107, 139, 236772, 36585, 236787, 236743, 236810, 236772, 236832, 1960, 2668, 531, 236743, 236770, 236778, 236800, 10013, 25421, 25692, 138, 108, 236812, 236761, 10013, 25421, 20467, 47203, 236787, 138, 107, 244878, 43469, 33879, 833, 139924, 167620, 236787, 138, 107, 139, 236772, 623, 236810, 58178, 10013, 25421, 33879, 573, 159088, 236775, 568, 9585, 236743, 236770, 236810, 236768, 138, 107, 139, 236772, 623, 49789, 3331, 1965, 57939, 236775, 568, 9585, 236743, 236770, 236812, 236768, 138, 107, 139, 236772, 623, 174779, 10013, 555, 53273, 15308, 236775, 568, 9585, 236743, 236770, 236778, 236768, 138, 108, 3243, 6555, 7723, 10428, 236761, 5180, 1960, 10884, 563, 79450, 1388, 753, 2148, 6555, 2473, 3204, 6514, 872, 822, 58362, 18669, 607, 506, 861, 15345, 653, 35329, 506, 75408, 8403, 7200, 12714, 1651, 9495, 573, 822, 5904, 39391, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1502, 614, 3489, 154213, 1960, 532, 1202, 822, 1601, 607, 3131, 9395, 236761, 5715, 236789, 236751, 1144, 564, 1202, 3028, 2918, 684, 2918, 236787, 236743, 236770, 236761, 5315, 236764, 2426, 768, 506, 58362, 15345, 623, 31317, 62300, 6654, 236775, 563, 2487, 1699, 506, 58362, 15345, 5904, 236761, 1637, 625, 236789, 236751, 3523, 236764, 8729, 496, 4709, 15345, 532, 8918, 8376, 600, 5132, 623, 31317, 62300, 236775, 528, 625, 236761, 236743, 236778, 236761, 12067, 236764, 2426, 506, 1873, 23058, 531, 35594, 15130, 8770, 4668, 2338, 564, 236789, 236757, 68112, 1070, 6436, 699, 3879, 236761, 1637, 993, 236789, 236751, 5676, 4668, 1003, 506, 23058, 87629, 2342, 35594, 236764, 4721, 1590, 532, 1531, 786, 1281, 236761, 1637, 506, 4668, 563, 4414, 653, 12643, 236764, 7162, 531, 506, 2148, 2918, 236761, 236743, 236800, 236761, 15325, 531, 7408, 236743, 236770, 236771, 6630, 529, 506, 623, 107332, 3331, 1965, 5833, 236775, 699, 506, 3489, 4762, 657, 154213, 236772, 71703, 236761, 854, 236761, 1637, 506, 7408, 20269, 236764, 2426, 1041, 31880, 1929, 28971, 12562, 4083, 573, 3421, 623, 236771, 236781, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 108250, 236775, 531, 9128, 564, 735, 7271, 8775, 236761, 1637, 8775, 659, 7271, 840, 506, 7408, 2036, 20269, 236764, 52312, 506, 7408, 607, 496, 236743, 236810, 236908, 3715, 4314, 11317, 236761, 236743, 236812, 236761, 13472, 236764, 12270, 786, 506, 6524, 154213, 7200, 12714, 699, 8038, 5853, 236743, 236812, 236810, 236825, 568, 5168, 25421, 11221, 833, 34296, 236768, 531, 4196, 10448, 580, 3956, 15067, 236761, 39694, 1546, 2918, 85363, 532, 1531, 786, 1281, 768, 1027, 4342, 21426, 1913, 506, 1657, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18700, 1083, 2416, 236764, 623, 4375, 1083, 623, 818, 15345, 756, 31317, 62300, 6654, 236789, 563, 3016, 3523, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 31317, 62300, 236779, 236832, 236828, 236819, 236771, 827, 623, 8707, 1083, 623, 236746, 236799, 236800, 236888, 236781, 236874, 236819, 236940, 236802, 236794, 236810, 236908, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 38556, 128900, 236751, 38104, 35594, 124148, 21714, 12329, 31880, 1929, 827, 623, 6265, 1083, 623, 36991, 40703, 827, 623, 6011, 1083, 623, 818, 2590, 15285, 22656, 236743, 236770, 236761, 236778, 236908, 2342, 506, 14135, 618, 36579, 47109, 7245, 23225, 3136, 71634, 699, 506, 9852, 21616, 10498, 623, 126775, 1083, 623, 30558, 23179, 3714, 3250, 1083, 623, 66574, 74395, 1788, 69850, 531, 79800, 969, 528, 1366, 236800, 827, 623, 6265, 1083, 623, 169880, 827, 623, 6011, 1083, 623, 112146, 4773, 35594, 236786, 38556, 531, 1586, 1894, 657, 236743, 236770, 236761, 236771, 236810, 1984, 9785, 1873, 97273, 23437, 10498, 623, 126775, 1083, 623, 45258, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 623, 10069, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 4818, 1083, 623, 87877, 827, 623, 104094, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 6725, 236779, 13304, 1083, 623, 236812, 236828, 236771, 236761, 236771, 236771, 23058, 827, 623, 84339, 236779, 50257, 1083, 623, 236810, 236772, 236832, 1960, 2668, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 72456, 1083, 78493, 3250, 1083, 623, 236810, 58178, 10013, 25421, 33879, 573, 159088, 827, 623, 3955, 1083, 623, 30354, 1217, 531, 9668, 66986, 174363, 1416, 236764, 4864, 506, 1447, 3863, 11261, 236764, 532, 4883, 18669, 5646, 236761, 49308, 496, 110718, 60218, 573, 6514, 872, 822, 1171, 154213, 6410, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 49789, 3331, 1965, 57939, 607, 7936, 25373, 827, 623, 3955, 1083, 623, 25261, 33148, 75408, 532, 11277, 981, 1699, 6079, 6436, 236761, 25772, 2918, 236772, 2003, 236772, 9340, 6704, 39516, 11261, 236772, 71524, 8403, 532, 5904, 7275, 30981, 573, 1607, 3863, 4458, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236771, 236828, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 174779, 10013, 555, 53273, 15308, 827, 623, 3955, 1083, 623, 3910, 531, 8701, 103432, 45869, 35400, 532, 981, 607, 101922, 5417, 236761, 49308, 496, 12229, 529, 187116, 236772, 94636, 25684, 528, 4695, 5711, 532, 3879, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 236774, 236770, 236800, 236787, 236770, 236832, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4133, 4981, 529, 822, 3489, 154213, 1960, 10884, 9395, 236787, 108, 236770, 236761, 85878, 18365, 236787, 138, 107, 242523, 623, 31317, 62300, 6654, 236775, 563, 47713, 138, 107, 240732, 60257, 9302, 236787, 138, 107, 139, 236772, 85878, 236787, 10013, 62300, 236779, 236832, 236828, 236819, 236771, 138, 107, 139, 236772, 35716, 236787, 496, 236799, 236800, 236888, 236781, 236874, 236819, 236940, 236802, 236794, 236810, 236908, 138, 108, 236778, 236761, 59547, 7074, 12579, 236787, 138, 107, 245353, 44771, 23058, 236786, 79271, 7074, 236787, 138, 107, 139, 236772, 2590, 15285, 16531, 236743, 236770, 236761, 236778, 236908, 2342, 14135, 138, 107, 139, 236772, 101685, 522, 607, 6693, 23163, 563, 27661, 138, 108, 236800, 236761, 7303, 44511, 125145, 236787, 138, 107, 246727, 32173, 3331, 1965, 5833, 568, 236770, 236771, 6630, 1473, 138, 107, 139, 236772, 12045, 5853, 236787, 157005, 236770, 236778, 236800, 236812, 236810, 236825, 138, 107, 139, 236772, 12613, 236787, 609, 236812, 236828, 236771, 236761, 236771, 236771, 23058, 138, 107, 139, 236772, 36585, 236787, 236743, 236810, 236772, 236832, 1960, 2668, 531, 236743, 236770, 236778, 236800, 10013, 25421, 25692, 138, 108, 236812, 236761, 10013, 25421, 20467, 47203, 236787, 138, 107, 244878, 43469, 33879, 833, 139924, 167620, 236787, 138, 107, 139, 236772, 623, 236810, 58178, 10013, 25421, 33879, 573, 159088, 236775, 568, 9585, 236743, 236770, 236810, 236768, 138, 107, 139, 236772, 623, 49789, 3331, 1965, 57939, 236775, 568, 9585, 236743, 236770, 236812, 236768, 138, 107, 139, 236772, 623, 174779, 10013, 555, 53273, 15308, 236775, 568, 9585, 236743, 236770, 236778, 236768, 138, 108, 3243, 6555, 7723, 10428, 236761, 5180, 1960, 10884, 563, 79450, 1388, 753, 2148, 6555, 2473, 3204, 6514, 872, 822, 58362, 18669, 607, 506, 861, 15345, 653, 35329, 506, 75408, 8403, 7200, 12714, 1651, 9495, 573, 822, 5904, 39391, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 9279, 36498, 532, 6527, 236761, 1701, 22479, 22344, 236764, 611, 2473, 1461, 531, 1161, 496, 4301, 10345, 4456, 653, 496, 10224, 22479, 5058, 1133, 165024, 236764, 28624, 628, 236764, 653, 6475, 115058, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 9279, 36498, 532, 6527, 236761, 1701, 22479, 22344, 236764, 611, 2473, 1461, 531, 1161, 496, 4301, 10345, 4456, 653, 496, 10224, 22479, 5058, 1133, 165024, 236764, 28624, 628, 236764, 653, 6475, 115058, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 8935, 7946, 531, 558, 30262, 236764, 59540, 532, 1202, 1601, 607, 1806, 2432, 236761, 5315, 236764, 7352, 236743, 236810, 236771, 236771, 23058, 531, 506, 2263, 15130, 993, 236761, 9674, 236764, 2426, 768, 506, 3658, 623, 236774, 30262, 236775, 563, 496, 142193, 528, 506, 118956, 5192, 236761, 20687, 236764, 18840, 506, 20412, 623, 162117, 12440, 558, 30262, 45102, 236775, 531, 1586, 1061, 27801, 180522, 660, 525, 85440, 236761, 9996, 2889, 531, 6060, 1027, 9724, 4889, 1133, 15130, 17253, 653, 5192, 72320, 11269, 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, 236771, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236832, 236761, 236810, 236764, 623, 2543, 1083, 623, 38556, 827, 623, 1071, 1083, 623, 22618, 236935, 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, 511, 236779, 227147, 1083, 2416, 236764, 623, 1005, 1083, 623, 236774, 30262, 827, 623, 140879, 236779, 1005, 1083, 623, 83712, 236774, 827, 623, 19859, 236779, 14210, 1083, 623, 155143, 2426, 6984, 580, 10445, 1816, 2180, 5192, 236772, 15396, 8487, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 139989, 236779, 13463, 724, 660, 525, 236779, 26967, 1083, 623, 236746, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 573, 822, 7946, 531, 558, 30262, 236764, 59540, 236787, 108, 236770, 236761, 5213, 51574, 67292, 1018, 138, 107, 236810, 236771, 236771, 23058, 47874, 531, 5213, 236800, 236764, 236832, 236810, 236771, 24179, 236935, 1018, 568, 11746, 32326, 12824, 2797, 22963, 3051, 236768, 657, 506, 1873, 8770, 3136, 529, 236743, 236832, 236761, 236810, 568, 527, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 769, 1174, 1374, 1601, 607, 90352, 573, 7234, 12412, 236764, 18917, 236764, 653, 2263, 26931, 236761, 108, 236778, 236761, 5213, 155143, 7179, 573, 623, 236774, 30262, 236775, 1018, 138, 107, 818, 3658, 623, 236774, 30262, 236775, 563, 5213, 2217, 496, 142193, 1018, 528, 506, 118956, 5192, 568, 504, 1027, 5192, 1699, 4077, 16403, 8948, 6366, 769, 232943, 236764, 625, 6775, 623, 83712, 236774, 3056, 138, 107, 236829, 10282, 149681, 1174, 2426, 691, 6984, 580, 506, 10445, 1816, 2180, 118956, 5192, 236772, 15396, 8487, 568, 236744, 236761, 236759, 1126, 1001, 552, 1302, 1229, 653, 232033, 6366, 769, 108, 236800, 236761, 5213, 12059, 598, 6203, 724, 660, 525, 5375, 2383, 1018, 138, 107, 902, 506, 20412, 623, 162117, 12440, 558, 30262, 45102, 827, 506, 27801, 180522, 660, 525, 85440, 563, 5213, 236775, 236746, 236775, 1018, 568, 2543, 623, 137534, 4248, 21175, 236772, 18857, 180522, 84704, 659, 4341, 236764, 840, 993, 659, 951, 4890, 180522, 660, 525, 17047, 528, 672, 3530, 20412, 236761, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 1027, 529, 1239, 2536, 236888, 236743, 243536, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 8935, 7946, 531, 558, 30262, 236764, 59540, 532, 1202, 1601, 607, 1806, 2432, 236761, 5315, 236764, 7352, 236743, 236810, 236771, 236771, 23058, 531, 506, 2263, 15130, 993, 236761, 9674, 236764, 2426, 768, 506, 3658, 623, 236774, 30262, 236775, 563, 496, 142193, 528, 506, 118956, 5192, 236761, 20687, 236764, 18840, 506, 20412, 623, 162117, 12440, 558, 30262, 45102, 236775, 531, 1586, 1061, 27801, 180522, 660, 525, 85440, 236761, 9996, 2889, 531, 6060, 1027, 9724, 4889, 1133, 15130, 17253, 653, 5192, 72320, 11269, 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, 236771, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236832, 236761, 236810, 236764, 623, 2543, 1083, 623, 38556, 827, 623, 1071, 1083, 623, 22618, 236935, 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, 511, 236779, 227147, 1083, 2416, 236764, 623, 1005, 1083, 623, 236774, 30262, 827, 623, 140879, 236779, 1005, 1083, 623, 83712, 236774, 827, 623, 19859, 236779, 14210, 1083, 623, 155143, 2426, 6984, 580, 10445, 1816, 2180, 5192, 236772, 15396, 8487, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 139989, 236779, 13463, 724, 660, 525, 236779, 26967, 1083, 623, 236746, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 573, 822, 7946, 531, 558, 30262, 236764, 59540, 236787, 108, 236770, 236761, 5213, 51574, 67292, 1018, 138, 107, 236810, 236771, 236771, 23058, 47874, 531, 5213, 236800, 236764, 236832, 236810, 236771, 24179, 236935, 1018, 568, 11746, 32326, 12824, 2797, 22963, 3051, 236768, 657, 506, 1873, 8770, 3136, 529, 236743, 236832, 236761, 236810, 568, 527, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 769, 1174, 1374, 1601, 607, 90352, 573, 7234, 12412, 236764, 18917, 236764, 653, 2263, 26931, 236761, 108, 236778, 236761, 5213, 155143, 7179, 573, 623, 236774, 30262, 236775, 1018, 138, 107, 818, 3658, 623, 236774, 30262, 236775, 563, 5213, 2217, 496, 142193, 1018, 528, 506, 118956, 5192, 568, 504, 1027, 5192, 1699, 4077, 16403, 8948, 6366, 769, 232943, 236764, 625, 6775, 623, 83712, 236774, 3056, 138, 107, 236829, 10282, 149681, 1174, 2426, 691, 6984, 580, 506, 10445, 1816, 2180, 118956, 5192, 236772, 15396, 8487, 568, 236744, 236761, 236759, 1126, 1001, 552, 1302, 1229, 653, 232033, 6366, 769, 108, 236800, 236761, 5213, 12059, 598, 6203, 724, 660, 525, 5375, 2383, 1018, 138, 107, 902, 506, 20412, 623, 162117, 12440, 558, 30262, 45102, 827, 506, 27801, 180522, 660, 525, 85440, 563, 5213, 236775, 236746, 236775, 1018, 568, 2543, 623, 137534, 4248, 21175, 236772, 18857, 180522, 84704, 659, 4341, 236764, 840, 993, 659, 951, 4890, 180522, 660, 525, 17047, 528, 672, 3530, 20412, 236761, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 1027, 529, 1239, 2536, 236888, 236743, 243536, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 1694, 529, 784, 56721, 528, 40909, 236764, 16586, 607, 206242, 236743, 236800, 236778, 236828, 236771, 236770, 236764, 2440, 910, 42442, 15375, 236761, 564, 236789, 236757, 6995, 496, 3399, 1610, 3988, 532, 1461, 531, 4187, 3435, 11024, 3541, 31509, 16266, 1133, 9630, 645, 4395, 236761, 3199, 611, 33205, 672, 1262, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2204, 45091, 1083, 78493, 1201, 1083, 623, 170425, 40909, 827, 623, 3255, 1083, 623, 7750, 827, 623, 3274, 3970, 1083, 236743, 236800, 236778, 236828, 236771, 236770, 236764, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236828, 236761, 236810, 236800, 236828, 236800, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236800, 236832, 236800, 236810, 5237, 3714, 1201, 1083, 623, 64947, 645, 4395, 49037, 827, 623, 3255, 1083, 623, 7750, 827, 623, 3274, 3970, 1083, 236743, 236800, 236778, 236828, 236771, 236770, 236764, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236828, 236761, 236810, 236812, 236770, 236778, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236800, 236825, 236819, 236828, 5237, 3714, 1201, 1083, 623, 99444, 56221, 4556, 827, 623, 3255, 1083, 623, 7750, 827, 623, 3274, 3970, 1083, 236743, 236800, 236778, 236828, 236771, 236770, 236764, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236828, 236761, 236810, 236812, 236810, 236825, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236800, 236828, 236771, 236770, 5237, 3714, 1201, 1083, 623, 1980, 72322, 11518, 827, 623, 3255, 1083, 623, 7750, 827, 623, 3274, 3970, 1083, 236743, 236800, 236778, 236828, 236771, 236770, 236764, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236828, 236761, 236810, 236800, 236778, 236812, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236800, 236819, 236770, 236778, 5237, 3714, 1201, 1083, 623, 23425, 645, 4395, 827, 623, 3255, 1083, 623, 7750, 827, 623, 3274, 3970, 1083, 236743, 236800, 236778, 236828, 236771, 236770, 236764, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236828, 236761, 236810, 236778, 236819, 236828, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236800, 236825, 236810, 236812, 1807, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1694, 529, 56721, 528, 40909, 236764, 16586, 607, 206242, 236743, 236800, 236778, 236828, 236771, 236770, 236764, 2440, 910, 42442, 15375, 236787, 108, 236770, 236761, 5213, 170425, 40909, 1018, 138, 107, 139, 236772, 119558, 236787, 236743, 236778, 236828, 236761, 236810, 236800, 236828, 236800, 237366, 236797, 236764, 753, 236828, 236770, 236761, 236800, 236832, 236800, 236810, 237366, 236824, 138, 107, 139, 236772, 808, 1489, 123428, 531, 9630, 645, 4395, 63508, 2578, 236770, 236761, 236778, 7635, 52024, 138, 108, 236778, 236761, 5213, 64947, 645, 4395, 49037, 1018, 138, 107, 139, 236772, 119558, 236787, 236743, 236778, 236828, 236761, 236810, 236812, 236770, 236778, 237366, 236797, 236764, 753, 236828, 236770, 236761, 236800, 236825, 236819, 236828, 237366, 236824, 138, 107, 139, 236772, 808, 1489, 123428, 531, 9630, 645, 4395, 63508, 234105, 531, 9630, 645, 4395, 4556, 568, 63914, 573, 31509, 16266, 236768, 138, 108, 236800, 236761, 5213, 99444, 56221, 4556, 1018, 138, 107, 139, 236772, 119558, 236787, 236743, 236778, 236828, 236761, 236810, 236812, 236810, 236825, 237366, 236797, 236764, 753, 236828, 236770, 236761, 236800, 236828, 236771, 236770, 237366, 236824, 138, 107, 139, 236772, 808, 1489, 123428, 531, 9630, 645, 4395, 63508, 2578, 236770, 236761, 236810, 7635, 11895, 138, 108, 236812, 236761, 5213, 1980, 72322, 11518, 1018, 138, 107, 139, 236772, 119558, 236787, 236743, 236778, 236828, 236761, 236810, 236800, 236778, 236812, 237366, 236797, 236764, 753, 236828, 236770, 236761, 236800, 236819, 236770, 236778, 237366, 236824, 138, 107, 139, 236772, 808, 1489, 123428, 531, 9630, 645, 4395, 63508, 2578, 236778, 7635, 52910, 138, 108, 236810, 236761, 5213, 23425, 645, 4395, 1018, 138, 107, 139, 236772, 119558, 236787, 236743, 236778, 236828, 236761, 236810, 236778, 236819, 236828, 237366, 236797, 236764, 753, 236828, 236770, 236761, 236800, 236825, 236810, 236812, 237366, 236824, 138, 107, 139, 236772, 808, 1489, 123428, 531, 9630, 645, 4395, 63508, 2578, 236770, 16879, 55591, 138, 108, 1018, 3503, 98964, 66515, 9630, 645, 4395, 49037, 563, 5467, 18191, 531, 5213, 64947, 645, 4395, 4556, 125546, 837, 4065, 496, 4913, 236743, 236770, 236761, 236778, 236772, 33432, 31509, 236786, 24825, 2479, 2101, 506, 13288, 236761, 83487, 4556, 532, 48630, 40909, 659, 992, 2351, 496, 2822, 12406, 11881, 531, 506, 13288, 236761, 138, 108, 38786, 611, 1133, 4767, 4889, 1003, 3530, 4106, 236764, 31509, 12308, 236764, 653, 1601, 15468, 3435, 1610, 3988, 11024, 236881, 106, 107, 105, 2364, 107, 236777, 1461, 531, 18840, 31992, 9935, 528, 9630, 645, 4395, 49037, 532, 83487, 4556, 531, 6054, 506, 1791, 4563, 573, 34359, 40399, 1610, 5417, 236761, 28344, 611, 33205, 1873, 1813, 21910, 1262, 573, 1800, 56721, 1699, 910, 15375, 236881, 1174, 795, 1601, 786, 3050, 837, 2433, 815, 919, 10385, 26536, 3439, 573, 39983, 10293, 5417, 1133, 3863, 532, 3627, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 56220, 1083, 3714, 8938, 1083, 236743, 236778, 236828, 236764, 623, 68520, 1083, 753, 236828, 236770, 1263, 623, 7632, 236779, 165001, 236779, 1516, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 15396, 236779, 77269, 1083, 236743, 236770, 236828, 236761, 236778, 236764, 623, 30226, 236779, 77269, 1083, 236743, 236825, 236828, 236764, 623, 219616, 236779, 3947, 1083, 236743, 236770, 236810, 236761, 236770, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236800, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 15396, 236779, 77269, 1083, 236743, 236770, 236832, 236761, 236819, 236764, 623, 30226, 236779, 77269, 1083, 236743, 236825, 236825, 236764, 623, 219616, 236779, 3947, 1083, 236743, 236770, 236812, 236761, 236828, 104960, 623, 28263, 1083, 3714, 28128, 236779, 77269, 1083, 236743, 236825, 236832, 236764, 623, 2074, 236779, 165001, 236779, 27629, 1083, 236743, 236778, 236771, 236761, 236770, 236764, 623, 181188, 236779, 2662, 1083, 623, 114292, 23179, 623, 85038, 567, 1083, 623, 70092, 3541, 15375, 568, 236778, 236828, 236764, 753, 236828, 236770, 236768, 1407, 21037, 31992, 11646, 236761, 14066, 4767, 10022, 12239, 573, 1440, 236772, 6061, 6310, 529, 10293, 5417, 1781, 236783, 106, 107, 105, 4368, 107, 818, 1873, 1813, 21910, 1262, 573, 506, 2433, 568, 96304, 1800, 9630, 645, 4395, 49037, 532, 83487, 4556, 2779, 531, 910, 33417, 528, 15375, 236768, 3831, 236787, 138, 108, 236772, 5213, 35089, 208719, 66515, 236743, 236825, 236832, 236908, 138, 107, 236772, 5213, 170728, 13291, 66515, 90434, 138, 107, 236772, 5213, 131907, 10654, 66515, 236743, 236770, 236812, 236761, 236828, 236964, 236770, 236810, 236761, 236770, 237366, 236780, 138, 108, 10354, 9533, 107452, 236787, 138, 107, 236770, 236761, 5213, 99969, 12683, 25795, 66515, 138, 107, 139, 236772, 208719, 4535, 2787, 236743, 236825, 236771, 236908, 3553, 4652, 529, 17589, 532, 28237, 573, 3627, 236786, 5168, 236761, 138, 107, 139, 236772, 39614, 201916, 528, 58343, 1523, 3600, 21037, 20511, 28590, 236764, 837, 1451, 5013, 5417, 1024, 990, 236761, 138, 108, 236778, 236761, 5213, 211199, 66515, 138, 107, 139, 236772, 22282, 77372, 5213, 66518, 236772, 38321, 6310, 1018, 568, 236744, 236761, 236759, 1126, 229530, 19081, 653, 26800, 24032, 236768, 17194, 529, 506, 71070, 9949, 236761, 138, 107, 139, 236772, 5213, 64947, 645, 4395, 49037, 1018, 1149, 2729, 6495, 15644, 768, 33417, 531, 31509, 16266, 568, 64947, 645, 4395, 4556, 236768, 563, 6749, 236764, 840, 31992, 3439, 659, 3361, 531, 83487, 4556, 236761, 138, 108, 38786, 611, 1133, 11858, 31992, 1262, 573, 28594, 15067, 653, 496, 9960, 607, 1032, 40909, 56721, 236881, 106, 107, 105, 2364, 107, 30092, 611, 33205, 11858, 1813, 21910, 1262, 573, 9630, 645, 4395, 49037, 568, 236778, 236828, 236761, 236810, 236812, 236770, 236778, 237366, 236797, 236764, 753, 236828, 236770, 236761, 236800, 236825, 236819, 236828, 237366, 236824, 236768, 573, 506, 3068, 236743, 236770, 236778, 3794, 236881, 564, 1461, 531, 18840, 28594, 31992, 15067, 531, 5608, 1440, 236772, 6061, 6310, 55233, 573, 10293, 5417, 1133, 101922, 3863, 532, 3627, 236761, 1174, 795, 1601, 6054, 768, 506, 2433, 9871, 13610, 30217, 600, 1451, 32963, 506, 17661, 529, 40399, 1610, 14767, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 1083, 236743, 236778, 236828, 236764, 623, 41713, 1083, 753, 236828, 236770, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 28128, 236779, 7632, 236779, 165001, 1083, 623, 236778, 236761, 236770, 236810, 11944, 236786, 236757, 236785, 236756, 236771, 236771, 236763, 236800, 827, 623, 2074, 236779, 7632, 236779, 165001, 1083, 623, 236800, 236761, 236812, 236771, 11944, 236786, 236757, 236785, 236756, 236771, 236771, 236763, 236800, 827, 623, 1387, 236779, 7632, 236779, 165001, 1083, 623, 236771, 236761, 236819, 236810, 11944, 236786, 236757, 236785, 236756, 236771, 236771, 236763, 236800, 827, 623, 221174, 236779, 58043, 1083, 623, 98458, 14866, 5773, 1913, 5312, 3794, 568, 40885, 236772, 20450, 779, 3718, 1913, 7208, 568, 8724, 236772, 24631, 22730, 623, 85038, 567, 1083, 623, 166920, 31992, 30217, 3600, 10022, 236772, 38321, 6310, 10325, 573, 10293, 5417, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 11858, 1813, 21910, 3671, 573, 9630, 645, 4395, 49037, 568, 236778, 236828, 237366, 236797, 236764, 753, 236828, 236770, 237366, 236824, 236768, 1024, 506, 3068, 236743, 236770, 236778, 3794, 236787, 138, 108, 236772, 5213, 35089, 7768, 101353, 66515, 236743, 236778, 236761, 236770, 236810, 11944, 236786, 236757, 239158, 138, 107, 236772, 5213, 85901, 208719, 66515, 236743, 236800, 236761, 236812, 236771, 11944, 236786, 236757, 239158, 568, 49104, 3794, 236768, 138, 107, 236772, 5213, 232347, 208719, 66515, 236743, 236771, 236761, 236819, 236810, 11944, 236786, 236757, 239158, 568, 57750, 3794, 236768, 138, 107, 236772, 5213, 184402, 22526, 66515, 138, 107, 138, 236772, 5213, 35734, 568, 40885, 236772, 20450, 62902, 236787, 236743, 236825, 236771, 236772, 236828, 236771, 236908, 6658, 31992, 568, 11480, 4652, 573, 20511, 7112, 236768, 138, 107, 138, 236772, 5213, 43335, 568, 8724, 236772, 24631, 62902, 236787, 236743, 236812, 236771, 236772, 236810, 236810, 236908, 6658, 31992, 568, 58591, 573, 2561, 33862, 236768, 138, 108, 10354, 8099, 236772, 10960, 25795, 103057, 236787, 138, 107, 236770, 236761, 5213, 136074, 39614, 201916, 66515, 138, 107, 139, 236772, 18943, 31992, 4535, 9644, 506, 236743, 236825, 236771, 236908, 14272, 1298, 17589, 3877, 6775, 4547, 573, 10293, 5417, 236761, 138, 107, 139, 236772, 18568, 3439, 659, 34303, 840, 1660, 6733, 699, 4022, 60956, 236761, 138, 108, 236778, 236761, 5213, 201430, 66515, 138, 107, 139, 236772, 5213, 99078, 236772, 198633, 25795, 66515, 18471, 229530, 19081, 653, 1161, 26800, 24032, 607, 233020, 1639, 236761, 138, 107, 139, 236772, 5213, 184402, 35593, 1230, 66515, 22282, 77372, 35149, 528, 5312, 532, 20511, 25289, 528, 7208, 236761, 138, 107, 139, 236772, 5213, 18942, 236772, 46163, 173663, 66515, 13516, 20511, 236772, 46443, 4852, 568, 236744, 236761, 236759, 1126, 3627, 236768, 528, 506, 3101, 598, 912, 529, 506, 10056, 236761, 138, 108, 38786, 611, 1133, 496, 31898, 3671, 607, 1032, 56721, 653, 496, 19276, 30386, 1131, 3530, 3794, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 1694, 529, 784, 56721, 528, 40909, 236764, 16586, 607, 206242, 236743, 236800, 236778, 236828, 236771, 236770, 236764, 2440, 910, 42442, 15375, 236761, 564, 236789, 236757, 6995, 496, 3399, 1610, 3988, 532, 1461, 531, 4187, 3435, 11024, 3541, 31509, 16266, 1133, 9630, 645, 4395, 236761, 3199, 611, 33205, 672, 1262, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2204, 45091, 1083, 78493, 1201, 1083, 623, 170425, 40909, 827, 623, 3255, 1083, 623, 7750, 827, 623, 3274, 3970, 1083, 236743, 236800, 236778, 236828, 236771, 236770, 236764, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236828, 236761, 236810, 236800, 236828, 236800, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236800, 236832, 236800, 236810, 5237, 3714, 1201, 1083, 623, 64947, 645, 4395, 49037, 827, 623, 3255, 1083, 623, 7750, 827, 623, 3274, 3970, 1083, 236743, 236800, 236778, 236828, 236771, 236770, 236764, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236828, 236761, 236810, 236812, 236770, 236778, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236800, 236825, 236819, 236828, 5237, 3714, 1201, 1083, 623, 99444, 56221, 4556, 827, 623, 3255, 1083, 623, 7750, 827, 623, 3274, 3970, 1083, 236743, 236800, 236778, 236828, 236771, 236770, 236764, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236828, 236761, 236810, 236812, 236810, 236825, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236800, 236828, 236771, 236770, 5237, 3714, 1201, 1083, 623, 1980, 72322, 11518, 827, 623, 3255, 1083, 623, 7750, 827, 623, 3274, 3970, 1083, 236743, 236800, 236778, 236828, 236771, 236770, 236764, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236828, 236761, 236810, 236800, 236778, 236812, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236800, 236819, 236770, 236778, 5237, 3714, 1201, 1083, 623, 23425, 645, 4395, 827, 623, 3255, 1083, 623, 7750, 827, 623, 3274, 3970, 1083, 236743, 236800, 236778, 236828, 236771, 236770, 236764, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236828, 236761, 236810, 236778, 236819, 236828, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236800, 236825, 236810, 236812, 1807, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1694, 529, 56721, 528, 40909, 236764, 16586, 607, 206242, 236743, 236800, 236778, 236828, 236771, 236770, 236764, 2440, 910, 42442, 15375, 236787, 108, 236770, 236761, 5213, 170425, 40909, 1018, 138, 107, 139, 236772, 119558, 236787, 236743, 236778, 236828, 236761, 236810, 236800, 236828, 236800, 237366, 236797, 236764, 753, 236828, 236770, 236761, 236800, 236832, 236800, 236810, 237366, 236824, 138, 107, 139, 236772, 808, 1489, 123428, 531, 9630, 645, 4395, 63508, 2578, 236770, 236761, 236778, 7635, 52024, 138, 108, 236778, 236761, 5213, 64947, 645, 4395, 49037, 1018, 138, 107, 139, 236772, 119558, 236787, 236743, 236778, 236828, 236761, 236810, 236812, 236770, 236778, 237366, 236797, 236764, 753, 236828, 236770, 236761, 236800, 236825, 236819, 236828, 237366, 236824, 138, 107, 139, 236772, 808, 1489, 123428, 531, 9630, 645, 4395, 63508, 234105, 531, 9630, 645, 4395, 4556, 568, 63914, 573, 31509, 16266, 236768, 138, 108, 236800, 236761, 5213, 99444, 56221, 4556, 1018, 138, 107, 139, 236772, 119558, 236787, 236743, 236778, 236828, 236761, 236810, 236812, 236810, 236825, 237366, 236797, 236764, 753, 236828, 236770, 236761, 236800, 236828, 236771, 236770, 237366, 236824, 138, 107, 139, 236772, 808, 1489, 123428, 531, 9630, 645, 4395, 63508, 2578, 236770, 236761, 236810, 7635, 11895, 138, 108, 236812, 236761, 5213, 1980, 72322, 11518, 1018, 138, 107, 139, 236772, 119558, 236787, 236743, 236778, 236828, 236761, 236810, 236800, 236778, 236812, 237366, 236797, 236764, 753, 236828, 236770, 236761, 236800, 236819, 236770, 236778, 237366, 236824, 138, 107, 139, 236772, 808, 1489, 123428, 531, 9630, 645, 4395, 63508, 2578, 236778, 7635, 52910, 138, 108, 236810, 236761, 5213, 23425, 645, 4395, 1018, 138, 107, 139, 236772, 119558, 236787, 236743, 236778, 236828, 236761, 236810, 236778, 236819, 236828, 237366, 236797, 236764, 753, 236828, 236770, 236761, 236800, 236825, 236810, 236812, 237366, 236824, 138, 107, 139, 236772, 808, 1489, 123428, 531, 9630, 645, 4395, 63508, 2578, 236770, 16879, 55591, 138, 108, 1018, 3503, 98964, 66515, 9630, 645, 4395, 49037, 563, 5467, 18191, 531, 5213, 64947, 645, 4395, 4556, 125546, 837, 4065, 496, 4913, 236743, 236770, 236761, 236778, 236772, 33432, 31509, 236786, 24825, 2479, 2101, 506, 13288, 236761, 83487, 4556, 532, 48630, 40909, 659, 992, 2351, 496, 2822, 12406, 11881, 531, 506, 13288, 236761, 138, 108, 38786, 611, 1133, 4767, 4889, 1003, 3530, 4106, 236764, 31509, 12308, 236764, 653, 1601, 15468, 3435, 1610, 3988, 11024, 236881, 106, 107, 105, 2364, 107, 236777, 1461, 531, 18840, 31992, 9935, 528, 9630, 645, 4395, 49037, 532, 83487, 4556, 531, 6054, 506, 1791, 4563, 573, 34359, 40399, 1610, 5417, 236761, 28344, 611, 33205, 1873, 1813, 21910, 1262, 573, 1800, 56721, 1699, 910, 15375, 236881, 1174, 795, 1601, 786, 3050, 837, 2433, 815, 919, 10385, 26536, 3439, 573, 39983, 10293, 5417, 1133, 3863, 532, 3627, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 56220, 1083, 3714, 8938, 1083, 236743, 236778, 236828, 236764, 623, 68520, 1083, 753, 236828, 236770, 1263, 623, 7632, 236779, 165001, 236779, 1516, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 15396, 236779, 77269, 1083, 236743, 236770, 236828, 236761, 236778, 236764, 623, 30226, 236779, 77269, 1083, 236743, 236825, 236828, 236764, 623, 219616, 236779, 3947, 1083, 236743, 236770, 236810, 236761, 236770, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236800, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 15396, 236779, 77269, 1083, 236743, 236770, 236832, 236761, 236819, 236764, 623, 30226, 236779, 77269, 1083, 236743, 236825, 236825, 236764, 623, 219616, 236779, 3947, 1083, 236743, 236770, 236812, 236761, 236828, 104960, 623, 28263, 1083, 3714, 28128, 236779, 77269, 1083, 236743, 236825, 236832, 236764, 623, 2074, 236779, 165001, 236779, 27629, 1083, 236743, 236778, 236771, 236761, 236770, 236764, 623, 181188, 236779, 2662, 1083, 623, 114292, 23179, 623, 85038, 567, 1083, 623, 70092, 3541, 15375, 568, 236778, 236828, 236764, 753, 236828, 236770, 236768, 1407, 21037, 31992, 11646, 236761, 14066, 4767, 10022, 12239, 573, 1440, 236772, 6061, 6310, 529, 10293, 5417, 1781, 236783, 106, 107, 105, 4368, 107, 818, 1873, 1813, 21910, 1262, 573, 506, 2433, 568, 96304, 1800, 9630, 645, 4395, 49037, 532, 83487, 4556, 2779, 531, 910, 33417, 528, 15375, 236768, 3831, 236787, 138, 108, 236772, 5213, 35089, 208719, 66515, 236743, 236825, 236832, 236908, 138, 107, 236772, 5213, 170728, 13291, 66515, 90434, 138, 107, 236772, 5213, 131907, 10654, 66515, 236743, 236770, 236812, 236761, 236828, 236964, 236770, 236810, 236761, 236770, 237366, 236780, 138, 108, 10354, 9533, 107452, 236787, 138, 107, 236770, 236761, 5213, 99969, 12683, 25795, 66515, 138, 107, 139, 236772, 208719, 4535, 2787, 236743, 236825, 236771, 236908, 3553, 4652, 529, 17589, 532, 28237, 573, 3627, 236786, 5168, 236761, 138, 107, 139, 236772, 39614, 201916, 528, 58343, 1523, 3600, 21037, 20511, 28590, 236764, 837, 1451, 5013, 5417, 1024, 990, 236761, 138, 108, 236778, 236761, 5213, 211199, 66515, 138, 107, 139, 236772, 22282, 77372, 5213, 66518, 236772, 38321, 6310, 1018, 568, 236744, 236761, 236759, 1126, 229530, 19081, 653, 26800, 24032, 236768, 17194, 529, 506, 71070, 9949, 236761, 138, 107, 139, 236772, 5213, 64947, 645, 4395, 49037, 1018, 1149, 2729, 6495, 15644, 768, 33417, 531, 31509, 16266, 568, 64947, 645, 4395, 4556, 236768, 563, 6749, 236764, 840, 31992, 3439, 659, 3361, 531, 83487, 4556, 236761, 138, 108, 38786, 611, 1133, 11858, 31992, 1262, 573, 28594, 15067, 653, 496, 9960, 607, 1032, 40909, 56721, 236881, 106, 107, 105, 2364, 107, 30092, 611, 33205, 11858, 1813, 21910, 1262, 573, 9630, 645, 4395, 49037, 568, 236778, 236828, 236761, 236810, 236812, 236770, 236778, 237366, 236797, 236764, 753, 236828, 236770, 236761, 236800, 236825, 236819, 236828, 237366, 236824, 236768, 573, 506, 3068, 236743, 236770, 236778, 3794, 236881, 564, 1461, 531, 18840, 28594, 31992, 15067, 531, 5608, 1440, 236772, 6061, 6310, 55233, 573, 10293, 5417, 1133, 101922, 3863, 532, 3627, 236761, 1174, 795, 1601, 6054, 768, 506, 2433, 9871, 13610, 30217, 600, 1451, 32963, 506, 17661, 529, 40399, 1610, 14767, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 1083, 236743, 236778, 236828, 236764, 623, 41713, 1083, 753, 236828, 236770, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 28128, 236779, 7632, 236779, 165001, 1083, 623, 236778, 236761, 236770, 236810, 11944, 236786, 236757, 236785, 236756, 236771, 236771, 236763, 236800, 827, 623, 2074, 236779, 7632, 236779, 165001, 1083, 623, 236800, 236761, 236812, 236771, 11944, 236786, 236757, 236785, 236756, 236771, 236771, 236763, 236800, 827, 623, 1387, 236779, 7632, 236779, 165001, 1083, 623, 236771, 236761, 236819, 236810, 11944, 236786, 236757, 236785, 236756, 236771, 236771, 236763, 236800, 827, 623, 221174, 236779, 58043, 1083, 623, 98458, 14866, 5773, 1913, 5312, 3794, 568, 40885, 236772, 20450, 779, 3718, 1913, 7208, 568, 8724, 236772, 24631, 22730, 623, 85038, 567, 1083, 623, 166920, 31992, 30217, 3600, 10022, 236772, 38321, 6310, 10325, 573, 10293, 5417, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 11858, 1813, 21910, 3671, 573, 9630, 645, 4395, 49037, 568, 236778, 236828, 237366, 236797, 236764, 753, 236828, 236770, 237366, 236824, 236768, 1024, 506, 3068, 236743, 236770, 236778, 3794, 236787, 138, 108, 236772, 5213, 35089, 7768, 101353, 66515, 236743, 236778, 236761, 236770, 236810, 11944, 236786, 236757, 239158, 138, 107, 236772, 5213, 85901, 208719, 66515, 236743, 236800, 236761, 236812, 236771, 11944, 236786, 236757, 239158, 568, 49104, 3794, 236768, 138, 107, 236772, 5213, 232347, 208719, 66515, 236743, 236771, 236761, 236819, 236810, 11944, 236786, 236757, 239158, 568, 57750, 3794, 236768, 138, 107, 236772, 5213, 184402, 22526, 66515, 138, 107, 138, 236772, 5213, 35734, 568, 40885, 236772, 20450, 62902, 236787, 236743, 236825, 236771, 236772, 236828, 236771, 236908, 6658, 31992, 568, 11480, 4652, 573, 20511, 7112, 236768, 138, 107, 138, 236772, 5213, 43335, 568, 8724, 236772, 24631, 62902, 236787, 236743, 236812, 236771, 236772, 236810, 236810, 236908, 6658, 31992, 568, 58591, 573, 2561, 33862, 236768, 138, 108, 10354, 8099, 236772, 10960, 25795, 103057, 236787, 138, 107, 236770, 236761, 5213, 136074, 39614, 201916, 66515, 138, 107, 139, 236772, 18943, 31992, 4535, 9644, 506, 236743, 236825, 236771, 236908, 14272, 1298, 17589, 3877, 6775, 4547, 573, 10293, 5417, 236761, 138, 107, 139, 236772, 18568, 3439, 659, 34303, 840, 1660, 6733, 699, 4022, 60956, 236761, 138, 108, 236778, 236761, 5213, 201430, 66515, 138, 107, 139, 236772, 5213, 99078, 236772, 198633, 25795, 66515, 18471, 229530, 19081, 653, 1161, 26800, 24032, 607, 233020, 1639, 236761, 138, 107, 139, 236772, 5213, 184402, 35593, 1230, 66515, 22282, 77372, 35149, 528, 5312, 532, 20511, 25289, 528, 7208, 236761, 138, 107, 139, 236772, 5213, 18942, 236772, 46163, 173663, 66515, 13516, 20511, 236772, 46443, 4852, 568, 236744, 236761, 236759, 1126, 3627, 236768, 528, 506, 3101, 598, 912, 529, 506, 10056, 236761, 138, 108, 38786, 611, 1133, 496, 31898, 3671, 607, 1032, 56721, 653, 496, 19276, 30386, 1131, 3530, 3794, 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, 6249, 1003, 506, 4083, 529, 15491, 532, 11285, 21010, 573, 1041, 2260, 5975, 236789, 236751, 2148, 8699, 236761, 28344, 611, 5840, 1070, 19293, 600, 2890, 1800, 8330, 11294, 532, 9226, 4100, 236881, 164265, 6469, 2351, 506, 1774, 236743, 236770, 236810, 1518, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17133, 1083, 78493, 3250, 1083, 623, 818, 36630, 529, 48901, 236787, 4934, 78464, 153655, 9007, 531, 14232, 827, 623, 6386, 1083, 623, 9231, 236761, 35649, 30641, 827, 623, 119789, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 56036, 1083, 623, 125129, 10358, 827, 623, 6011, 1083, 623, 20647, 2985, 506, 8330, 82483, 532, 9226, 24637, 528, 15491, 236764, 607, 496, 11554, 7312, 580, 11285, 5873, 36253, 221476, 3714, 3250, 1083, 623, 161347, 522, 506, 20349, 236787, 36811, 187383, 532, 9963, 32462, 52259, 827, 623, 6386, 1083, 623, 29518, 24148, 827, 623, 119789, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 56036, 1083, 623, 57782, 10856, 827, 623, 6011, 1083, 623, 48604, 14728, 506, 3853, 529, 11285, 21010, 528, 43167, 7426, 54491, 532, 910, 27823, 4100, 580, 4532, 15491, 10154, 221476, 3714, 3250, 1083, 623, 3138, 220991, 87639, 236787, 562, 22202, 532, 32462, 10358, 529, 48901, 827, 623, 6386, 1083, 623, 192481, 11629, 827, 623, 119789, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 56036, 1083, 623, 125129, 833, 21427, 827, 623, 6011, 1083, 623, 6654, 1121, 506, 2913, 529, 5873, 4181, 16195, 61269, 26899, 236764, 18482, 1624, 5254, 580, 22799, 11285, 4681, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 4803, 6249, 600, 8913, 607, 822, 2260, 5975, 236789, 236751, 10521, 236787, 108, 236770, 236761, 5213, 236775, 818, 36630, 529, 48901, 236787, 4934, 78464, 153655, 9007, 531, 14232, 236775, 1018, 684, 3587, 236761, 35649, 30641, 568, 236778, 236771, 236770, 236819, 236768, 138, 107, 139, 236772, 11873, 2985, 8330, 82483, 532, 9226, 24637, 236764, 607, 496, 3213, 580, 11285, 5873, 36253, 236761, 108, 236778, 236761, 5213, 236775, 161347, 522, 506, 20349, 236787, 36811, 187383, 532, 9963, 32462, 52259, 236775, 1018, 684, 8972, 24148, 568, 236778, 236771, 236770, 236832, 236768, 138, 107, 139, 236772, 54751, 14728, 506, 3853, 529, 11285, 21010, 528, 43167, 7426, 54491, 532, 910, 7630, 580, 4532, 10154, 236761, 108, 236800, 236761, 5213, 236775, 3138, 220991, 87639, 236787, 562, 22202, 532, 32462, 10358, 529, 48901, 236775, 1018, 684, 73339, 11629, 568, 236778, 236771, 236778, 236770, 236768, 138, 107, 139, 236772, 21807, 1472, 22351, 2913, 607, 61269, 18506, 236764, 18482, 1624, 5254, 580, 22799, 11285, 21010, 236761, 108, 3243, 19293, 964, 6469, 2351, 506, 1774, 236743, 236770, 236810, 1518, 532, 3421, 1800, 8330, 532, 9226, 13376, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 919, 19205, 236888, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 2619, 614, 21964, 2777, 4009, 1868, 573, 1041, 2260, 5975, 236789, 236751, 16038, 8699, 580, 1239, 15491, 4083, 6249, 236761, 28344, 611, 1601, 10946, 496, 8221, 44797, 600, 20756, 1800, 506, 8330, 532, 9226, 10217, 692, 236789, 859, 577, 22260, 236881, 12213, 7798, 118252, 532, 37837, 506, 5603, 1534, 11285, 21010, 532, 4532, 54491, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 553, 236779, 3955, 1083, 3714, 94156, 1083, 623, 80182, 506, 36630, 529, 48901, 236787, 4934, 36811, 187383, 531, 13806, 16976, 41707, 827, 623, 3063, 1083, 623, 22163, 1023, 2260, 5975, 618, 692, 92541, 1131, 506, 8326, 4083, 529, 15491, 236888, 42423, 1217, 11285, 21010, 21735, 7426, 67966, 532, 59842, 506, 1595, 573, 3124, 236789, 236751, 5177, 54491, 8403, 236761, 26079, 573, 15491, 48030, 236764, 4083, 146640, 236764, 532, 2260, 31881, 27432, 10498, 623, 137112, 4073, 1083, 11058, 236865, 125129, 16146, 827, 13659, 57782, 151453, 827, 13659, 32899, 32214, 41707, 827, 13659, 9020, 51771, 55652, 827, 13659, 111534, 115218, 14255, 623, 223205, 236779, 215582, 1083, 3714, 206410, 1083, 11058, 33333, 827, 623, 42809, 14255, 623, 152303, 236779, 75615, 1083, 11058, 125129, 2142, 4402, 827, 623, 16146, 48030, 827, 623, 13149, 2260, 19571, 14255, 623, 23721, 1083, 623, 28923, 532, 33403, 23179, 623, 51128, 236779, 87074, 1083, 3714, 32320, 236779, 51128, 1083, 236743, 236832, 236770, 236812, 236761, 236778, 236819, 236764, 623, 6725, 236779, 51128, 1083, 236743, 236810, 236771, 236771, 236771, 236764, 623, 62353, 236779, 35277, 1230, 1083, 623, 84869, 7715, 684, 236743, 236778, 236771, 236908, 573, 77434, 12714, 1913, 11519, 15154, 3885, 568, 236825, 236772, 236828, 8711, 94140, 16291, 1263, 623, 32677, 236779, 28263, 1083, 3714, 2478, 236779, 29263, 1083, 11058, 227187, 3136, 827, 623, 5147, 236772, 17429, 3136, 827, 623, 40282, 1812, 3877, 14255, 623, 111831, 236779, 63875, 1083, 623, 236776, 236786, 236799, 1594, 45774, 79720, 756, 27854, 7728, 236761, 4532, 236789, 9530, 236761, 6890, 98432, 19388, 531, 32545, 11858, 5873, 4876, 16195, 4532, 15491, 8698, 1781, 5237, 623, 4818, 1083, 623, 10934, 827, 623, 19631, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 33348, 2777, 4009, 1868, 573, 822, 2260, 5975, 8699, 236787, 108, 7243, 108, 243826, 5213, 92987, 2343, 48901, 130322, 833, 10358, 234965, 13524, 236888, 1018, 138, 107, 229738, 1131, 506, 27858, 9338, 529, 15491, 237028, 2543, 11285, 21010, 600, 21735, 54491, 531, 506, 5177, 6436, 692, 1161, 3124, 236888, 236743, 244878, 239794, 138, 108, 22163, 1023, 2260, 5975, 618, 692, 3249, 236787, 138, 107, 240732, 5213, 58972, 36630, 66515, 2088, 3649, 21010, 176839, 2471, 236772, 15992, 138, 107, 240732, 5213, 111534, 27938, 66515, 669, 1610, 532, 61269, 24637, 4977, 22799, 24133, 138, 107, 240732, 5213, 32899, 92988, 66515, 38955, 3801, 11285, 8403, 607, 3124, 236858, 236751, 7426, 54491, 138, 108, 1018, 35243, 16939, 66515, 808, 818, 36630, 529, 48901, 30237, 808, 161347, 522, 506, 20349, 30237, 532, 808, 3138, 220991, 87639, 236829, 138, 108, 249460, 6809, 236787, 870, 25588, 6809, 236842, 138, 107, 244343, 21617, 236787, 870, 25588, 98823, 236786, 33977, 10297, 236842, 138, 107, 250050, 238178, 114745, 236787, 870, 25588, 10297, 236842, 138, 108, 236865, 125129, 16146, 997, 57782, 151453, 997, 32899, 32214, 41707, 997, 9020, 51771, 55652, 997, 111534, 115218, 997, 11653, 8551, 1129, 138, 108, 236829, 236791, 236761, 236773, 236761, 42641, 822, 8126, 5873, 568, 947, 653, 861, 236768, 573, 496, 2317, 1407, 236772, 624, 236772, 82641, 236888, 236829, 138, 108, 7243, 108, 1018, 77788, 33879, 66515, 138, 107, 236772, 6890, 5213, 35368, 19388, 1018, 531, 32545, 11285, 5873, 6704, 16195, 4532, 8698, 236761, 138, 107, 236772, 54139, 12714, 1913, 5213, 236825, 236772, 236828, 8711, 94140, 1018, 573, 11519, 15154, 236761, 138, 107, 236772, 562, 236786, 236799, 1594, 45774, 1133, 165996, 57782, 639, 6740, 236764, 13806, 58865, 236787, 29134, 506, 46496, 9332, 236829, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 3342, 236888, 236743, 245038, 245840, 106, 107, 105, 2364, 107, 30092, 611, 1161, 506, 772, 236779, 33343, 5904, 531, 2619, 496, 5177, 7073, 2721, 580, 672, 12262, 236881, 564, 236789, 236753, 1133, 35813, 28307, 6137, 568, 75859, 15491, 48030, 532, 4083, 146640, 779, 496, 609, 236778, 236771, 236771, 7715, 9918, 3418, 8221, 532, 10365, 236764, 532, 506, 1816, 45047, 573, 1800, 14175, 236761, 9996, 2889, 506, 118252, 532, 2246, 236772, 1071, 236772, 2064, 659, 27750, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 2466, 236779, 236812, 236828, 236778, 236819, 827, 623, 159967, 236779, 553, 236779, 1005, 1083, 3714, 21254, 1083, 623, 22163, 1023, 7167, 9055, 46496, 580, 48901, 10358, 236888, 621, 689, 236828, 236800, 236753, 236785, 689, 10676, 236828, 236785, 689, 236828, 236800, 236753, 236785, 689, 236755, 1926, 125408, 1131, 506, 11294, 529, 15491, 607, 12339, 48030, 236761, 997, 125129, 16146, 997, 9020, 51771, 827, 623, 29872, 1083, 623, 80182, 506, 27858, 4083, 529, 15491, 607, 1023, 7167, 9055, 236888, 621, 689, 236828, 236800, 236753, 236785, 689, 10676, 236828, 236785, 236756, 236778, 236832, 236778, 236828, 19159, 17823, 2487, 236761, 997, 16146, 9520, 1121, 997, 11653, 39047, 236751, 23179, 623, 19099, 236779, 51128, 236779, 87074, 1083, 3714, 21254, 1083, 236743, 236770, 236778, 236771, 236764, 623, 29872, 1083, 236743, 236828, 236771, 1263, 623, 223205, 236779, 19031, 1083, 3714, 10258, 50376, 1083, 11058, 119653, 48030, 827, 623, 18308, 146640, 14255, 623, 188357, 1083, 11058, 27854, 21010, 827, 623, 124977, 4749, 827, 623, 3070, 18701, 152254, 623, 6639, 236779, 1071, 236779, 2064, 1083, 3714, 21254, 1083, 623, 12971, 20134, 4224, 827, 623, 29872, 1083, 623, 85692, 5180, 24495, 23179, 623, 32677, 236779, 28263, 1083, 3714, 43036, 236779, 26358, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236812, 236761, 236778, 236764, 623, 85038, 847, 1083, 11058, 84869, 10365, 33403, 19388, 1913, 11519, 3885, 827, 623, 3218, 2430, 236772, 19631, 3004, 699, 3527, 18701, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 35813, 5177, 7073, 573, 506, 2260, 5975, 8699, 236787, 108, 1018, 96550, 5853, 53121, 7747, 236779, 236812, 236828, 236778, 236819, 138, 107, 1018, 134331, 53121, 8221, 833, 10365, 138, 107, 1018, 71653, 93784, 53121, 138, 107, 236772, 8221, 236787, 609, 236770, 236778, 236771, 138, 107, 236772, 10365, 236787, 609, 236828, 236771, 138, 108, 1018, 15376, 236772, 46163, 2341, 5590, 53121, 138, 107, 1018, 33333, 53121, 138, 107, 236775, 22163, 1023, 7167, 9055, 46496, 580, 48901, 10358, 236888, 236743, 243826, 244878, 125408, 1131, 506, 11294, 529, 15491, 607, 12339, 48030, 236761, 997, 125129, 16146, 997, 9020, 51771, 236775, 138, 107, 1018, 133360, 13796, 53121, 623, 12971, 20134, 4224, 236775, 138, 108, 1018, 42809, 53121, 138, 107, 236775, 80182, 506, 27858, 4083, 529, 15491, 607, 1023, 7167, 9055, 236888, 236743, 243826, 239794, 19159, 17823, 2487, 236761, 997, 16146, 9520, 1121, 997, 11653, 39047, 236751, 236775, 138, 107, 1018, 133360, 13796, 53121, 623, 85692, 5180, 24495, 236775, 138, 108, 1018, 10206, 522, 36126, 53121, 138, 107, 236772, 5213, 28498, 50376, 53121, 48901, 48030, 236764, 4083, 146640, 138, 107, 236772, 5213, 3845, 7573, 53121, 36811, 21010, 236764, 11858, 4749, 236764, 2260, 18701, 138, 108, 1018, 52277, 76374, 53121, 138, 107, 236772, 5213, 146420, 76217, 53121, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 5089, 138, 107, 236772, 5213, 227187, 25870, 53121, 236743, 236812, 236761, 236778, 236908, 568, 46779, 4398, 573, 36989, 14050, 236768, 138, 107, 236772, 5213, 77788, 33879, 53121, 138, 107, 138, 236770, 236761, 54139, 10365, 33403, 19388, 1913, 11519, 3885, 568, 236825, 236772, 236819, 8711, 769, 138, 107, 138, 236778, 236761, 4140, 2430, 236772, 19631, 3004, 699, 3068, 18701, 531, 2016, 44247, 236761, 138, 108, 3243, 118252, 532, 21044, 2205, 659, 27750, 236761, 669, 7715, 9918, 27592, 5411, 8221, 573, 9813, 28307, 1651, 1699, 10365, 573, 7426, 12056, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 772, 4865, 653, 28307, 3342, 236888, 236743, 245038, 245840, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6249, 1003, 506, 4083, 529, 15491, 532, 11285, 21010, 573, 1041, 2260, 5975, 236789, 236751, 2148, 8699, 236761, 28344, 611, 5840, 1070, 19293, 600, 2890, 1800, 8330, 11294, 532, 9226, 4100, 236881, 164265, 6469, 2351, 506, 1774, 236743, 236770, 236810, 1518, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17133, 1083, 78493, 3250, 1083, 623, 818, 36630, 529, 48901, 236787, 4934, 78464, 153655, 9007, 531, 14232, 827, 623, 6386, 1083, 623, 9231, 236761, 35649, 30641, 827, 623, 119789, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 56036, 1083, 623, 125129, 10358, 827, 623, 6011, 1083, 623, 20647, 2985, 506, 8330, 82483, 532, 9226, 24637, 528, 15491, 236764, 607, 496, 11554, 7312, 580, 11285, 5873, 36253, 221476, 3714, 3250, 1083, 623, 161347, 522, 506, 20349, 236787, 36811, 187383, 532, 9963, 32462, 52259, 827, 623, 6386, 1083, 623, 29518, 24148, 827, 623, 119789, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 56036, 1083, 623, 57782, 10856, 827, 623, 6011, 1083, 623, 48604, 14728, 506, 3853, 529, 11285, 21010, 528, 43167, 7426, 54491, 532, 910, 27823, 4100, 580, 4532, 15491, 10154, 221476, 3714, 3250, 1083, 623, 3138, 220991, 87639, 236787, 562, 22202, 532, 32462, 10358, 529, 48901, 827, 623, 6386, 1083, 623, 192481, 11629, 827, 623, 119789, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 56036, 1083, 623, 125129, 833, 21427, 827, 623, 6011, 1083, 623, 6654, 1121, 506, 2913, 529, 5873, 4181, 16195, 61269, 26899, 236764, 18482, 1624, 5254, 580, 22799, 11285, 4681, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 4803, 6249, 600, 8913, 607, 822, 2260, 5975, 236789, 236751, 10521, 236787, 108, 236770, 236761, 5213, 236775, 818, 36630, 529, 48901, 236787, 4934, 78464, 153655, 9007, 531, 14232, 236775, 1018, 684, 3587, 236761, 35649, 30641, 568, 236778, 236771, 236770, 236819, 236768, 138, 107, 139, 236772, 11873, 2985, 8330, 82483, 532, 9226, 24637, 236764, 607, 496, 3213, 580, 11285, 5873, 36253, 236761, 108, 236778, 236761, 5213, 236775, 161347, 522, 506, 20349, 236787, 36811, 187383, 532, 9963, 32462, 52259, 236775, 1018, 684, 8972, 24148, 568, 236778, 236771, 236770, 236832, 236768, 138, 107, 139, 236772, 54751, 14728, 506, 3853, 529, 11285, 21010, 528, 43167, 7426, 54491, 532, 910, 7630, 580, 4532, 10154, 236761, 108, 236800, 236761, 5213, 236775, 3138, 220991, 87639, 236787, 562, 22202, 532, 32462, 10358, 529, 48901, 236775, 1018, 684, 73339, 11629, 568, 236778, 236771, 236778, 236770, 236768, 138, 107, 139, 236772, 21807, 1472, 22351, 2913, 607, 61269, 18506, 236764, 18482, 1624, 5254, 580, 22799, 11285, 21010, 236761, 108, 3243, 19293, 964, 6469, 2351, 506, 1774, 236743, 236770, 236810, 1518, 532, 3421, 1800, 8330, 532, 9226, 13376, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 919, 19205, 236888, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 2619, 614, 21964, 2777, 4009, 1868, 573, 1041, 2260, 5975, 236789, 236751, 16038, 8699, 580, 1239, 15491, 4083, 6249, 236761, 28344, 611, 1601, 10946, 496, 8221, 44797, 600, 20756, 1800, 506, 8330, 532, 9226, 10217, 692, 236789, 859, 577, 22260, 236881, 12213, 7798, 118252, 532, 37837, 506, 5603, 1534, 11285, 21010, 532, 4532, 54491, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 553, 236779, 3955, 1083, 3714, 94156, 1083, 623, 80182, 506, 36630, 529, 48901, 236787, 4934, 36811, 187383, 531, 13806, 16976, 41707, 827, 623, 3063, 1083, 623, 22163, 1023, 2260, 5975, 618, 692, 92541, 1131, 506, 8326, 4083, 529, 15491, 236888, 42423, 1217, 11285, 21010, 21735, 7426, 67966, 532, 59842, 506, 1595, 573, 3124, 236789, 236751, 5177, 54491, 8403, 236761, 26079, 573, 15491, 48030, 236764, 4083, 146640, 236764, 532, 2260, 31881, 27432, 10498, 623, 137112, 4073, 1083, 11058, 236865, 125129, 16146, 827, 13659, 57782, 151453, 827, 13659, 32899, 32214, 41707, 827, 13659, 9020, 51771, 55652, 827, 13659, 111534, 115218, 14255, 623, 223205, 236779, 215582, 1083, 3714, 206410, 1083, 11058, 33333, 827, 623, 42809, 14255, 623, 152303, 236779, 75615, 1083, 11058, 125129, 2142, 4402, 827, 623, 16146, 48030, 827, 623, 13149, 2260, 19571, 14255, 623, 23721, 1083, 623, 28923, 532, 33403, 23179, 623, 51128, 236779, 87074, 1083, 3714, 32320, 236779, 51128, 1083, 236743, 236832, 236770, 236812, 236761, 236778, 236819, 236764, 623, 6725, 236779, 51128, 1083, 236743, 236810, 236771, 236771, 236771, 236764, 623, 62353, 236779, 35277, 1230, 1083, 623, 84869, 7715, 684, 236743, 236778, 236771, 236908, 573, 77434, 12714, 1913, 11519, 15154, 3885, 568, 236825, 236772, 236828, 8711, 94140, 16291, 1263, 623, 32677, 236779, 28263, 1083, 3714, 2478, 236779, 29263, 1083, 11058, 227187, 3136, 827, 623, 5147, 236772, 17429, 3136, 827, 623, 40282, 1812, 3877, 14255, 623, 111831, 236779, 63875, 1083, 623, 236776, 236786, 236799, 1594, 45774, 79720, 756, 27854, 7728, 236761, 4532, 236789, 9530, 236761, 6890, 98432, 19388, 531, 32545, 11858, 5873, 4876, 16195, 4532, 15491, 8698, 1781, 5237, 623, 4818, 1083, 623, 10934, 827, 623, 19631, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 33348, 2777, 4009, 1868, 573, 822, 2260, 5975, 8699, 236787, 108, 7243, 108, 243826, 5213, 92987, 2343, 48901, 130322, 833, 10358, 234965, 13524, 236888, 1018, 138, 107, 229738, 1131, 506, 27858, 9338, 529, 15491, 237028, 2543, 11285, 21010, 600, 21735, 54491, 531, 506, 5177, 6436, 692, 1161, 3124, 236888, 236743, 244878, 239794, 138, 108, 22163, 1023, 2260, 5975, 618, 692, 3249, 236787, 138, 107, 240732, 5213, 58972, 36630, 66515, 2088, 3649, 21010, 176839, 2471, 236772, 15992, 138, 107, 240732, 5213, 111534, 27938, 66515, 669, 1610, 532, 61269, 24637, 4977, 22799, 24133, 138, 107, 240732, 5213, 32899, 92988, 66515, 38955, 3801, 11285, 8403, 607, 3124, 236858, 236751, 7426, 54491, 138, 108, 1018, 35243, 16939, 66515, 808, 818, 36630, 529, 48901, 30237, 808, 161347, 522, 506, 20349, 30237, 532, 808, 3138, 220991, 87639, 236829, 138, 108, 249460, 6809, 236787, 870, 25588, 6809, 236842, 138, 107, 244343, 21617, 236787, 870, 25588, 98823, 236786, 33977, 10297, 236842, 138, 107, 250050, 238178, 114745, 236787, 870, 25588, 10297, 236842, 138, 108, 236865, 125129, 16146, 997, 57782, 151453, 997, 32899, 32214, 41707, 997, 9020, 51771, 55652, 997, 111534, 115218, 997, 11653, 8551, 1129, 138, 108, 236829, 236791, 236761, 236773, 236761, 42641, 822, 8126, 5873, 568, 947, 653, 861, 236768, 573, 496, 2317, 1407, 236772, 624, 236772, 82641, 236888, 236829, 138, 108, 7243, 108, 1018, 77788, 33879, 66515, 138, 107, 236772, 6890, 5213, 35368, 19388, 1018, 531, 32545, 11285, 5873, 6704, 16195, 4532, 8698, 236761, 138, 107, 236772, 54139, 12714, 1913, 5213, 236825, 236772, 236828, 8711, 94140, 1018, 573, 11519, 15154, 236761, 138, 107, 236772, 562, 236786, 236799, 1594, 45774, 1133, 165996, 57782, 639, 6740, 236764, 13806, 58865, 236787, 29134, 506, 46496, 9332, 236829, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 3342, 236888, 236743, 245038, 245840, 106, 107, 105, 2364, 107, 30092, 611, 1161, 506, 772, 236779, 33343, 5904, 531, 2619, 496, 5177, 7073, 2721, 580, 672, 12262, 236881, 564, 236789, 236753, 1133, 35813, 28307, 6137, 568, 75859, 15491, 48030, 532, 4083, 146640, 779, 496, 609, 236778, 236771, 236771, 7715, 9918, 3418, 8221, 532, 10365, 236764, 532, 506, 1816, 45047, 573, 1800, 14175, 236761, 9996, 2889, 506, 118252, 532, 2246, 236772, 1071, 236772, 2064, 659, 27750, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 2466, 236779, 236812, 236828, 236778, 236819, 827, 623, 159967, 236779, 553, 236779, 1005, 1083, 3714, 21254, 1083, 623, 22163, 1023, 7167, 9055, 46496, 580, 48901, 10358, 236888, 621, 689, 236828, 236800, 236753, 236785, 689, 10676, 236828, 236785, 689, 236828, 236800, 236753, 236785, 689, 236755, 1926, 125408, 1131, 506, 11294, 529, 15491, 607, 12339, 48030, 236761, 997, 125129, 16146, 997, 9020, 51771, 827, 623, 29872, 1083, 623, 80182, 506, 27858, 4083, 529, 15491, 607, 1023, 7167, 9055, 236888, 621, 689, 236828, 236800, 236753, 236785, 689, 10676, 236828, 236785, 236756, 236778, 236832, 236778, 236828, 19159, 17823, 2487, 236761, 997, 16146, 9520, 1121, 997, 11653, 39047, 236751, 23179, 623, 19099, 236779, 51128, 236779, 87074, 1083, 3714, 21254, 1083, 236743, 236770, 236778, 236771, 236764, 623, 29872, 1083, 236743, 236828, 236771, 1263, 623, 223205, 236779, 19031, 1083, 3714, 10258, 50376, 1083, 11058, 119653, 48030, 827, 623, 18308, 146640, 14255, 623, 188357, 1083, 11058, 27854, 21010, 827, 623, 124977, 4749, 827, 623, 3070, 18701, 152254, 623, 6639, 236779, 1071, 236779, 2064, 1083, 3714, 21254, 1083, 623, 12971, 20134, 4224, 827, 623, 29872, 1083, 623, 85692, 5180, 24495, 23179, 623, 32677, 236779, 28263, 1083, 3714, 43036, 236779, 26358, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236812, 236761, 236778, 236764, 623, 85038, 847, 1083, 11058, 84869, 10365, 33403, 19388, 1913, 11519, 3885, 827, 623, 3218, 2430, 236772, 19631, 3004, 699, 3527, 18701, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 35813, 5177, 7073, 573, 506, 2260, 5975, 8699, 236787, 108, 1018, 96550, 5853, 53121, 7747, 236779, 236812, 236828, 236778, 236819, 138, 107, 1018, 134331, 53121, 8221, 833, 10365, 138, 107, 1018, 71653, 93784, 53121, 138, 107, 236772, 8221, 236787, 609, 236770, 236778, 236771, 138, 107, 236772, 10365, 236787, 609, 236828, 236771, 138, 108, 1018, 15376, 236772, 46163, 2341, 5590, 53121, 138, 107, 1018, 33333, 53121, 138, 107, 236775, 22163, 1023, 7167, 9055, 46496, 580, 48901, 10358, 236888, 236743, 243826, 244878, 125408, 1131, 506, 11294, 529, 15491, 607, 12339, 48030, 236761, 997, 125129, 16146, 997, 9020, 51771, 236775, 138, 107, 1018, 133360, 13796, 53121, 623, 12971, 20134, 4224, 236775, 138, 108, 1018, 42809, 53121, 138, 107, 236775, 80182, 506, 27858, 4083, 529, 15491, 607, 1023, 7167, 9055, 236888, 236743, 243826, 239794, 19159, 17823, 2487, 236761, 997, 16146, 9520, 1121, 997, 11653, 39047, 236751, 236775, 138, 107, 1018, 133360, 13796, 53121, 623, 85692, 5180, 24495, 236775, 138, 108, 1018, 10206, 522, 36126, 53121, 138, 107, 236772, 5213, 28498, 50376, 53121, 48901, 48030, 236764, 4083, 146640, 138, 107, 236772, 5213, 3845, 7573, 53121, 36811, 21010, 236764, 11858, 4749, 236764, 2260, 18701, 138, 108, 1018, 52277, 76374, 53121, 138, 107, 236772, 5213, 146420, 76217, 53121, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 5089, 138, 107, 236772, 5213, 227187, 25870, 53121, 236743, 236812, 236761, 236778, 236908, 568, 46779, 4398, 573, 36989, 14050, 236768, 138, 107, 236772, 5213, 77788, 33879, 53121, 138, 107, 138, 236770, 236761, 54139, 10365, 33403, 19388, 1913, 11519, 3885, 568, 236825, 236772, 236819, 8711, 769, 138, 107, 138, 236778, 236761, 4140, 2430, 236772, 19631, 3004, 699, 3068, 18701, 531, 2016, 44247, 236761, 138, 108, 3243, 118252, 532, 21044, 2205, 659, 27750, 236761, 669, 7715, 9918, 27592, 5411, 8221, 573, 9813, 28307, 1651, 1699, 10365, 573, 7426, 12056, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 772, 4865, 653, 28307, 3342, 236888, 236743, 245038, 245840, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 7001, 532, 1202, 531, 2426, 506, 33485, 6035, 573, 2590, 11838, 236761, 13677, 26891, 236764, 564, 1461, 531, 1386, 2889, 506, 5125, 7830, 73460, 4456, 563, 15283, 236761, 3199, 611, 2426, 768, 4560, 1411, 2769, 236761, 30341, 160302, 236772, 605, 236761, 2187, 563, 872, 532, 1299, 2847, 506, 33485, 6035, 768, 625, 563, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 23557, 827, 623, 2855, 236779, 4818, 1083, 236743, 236778, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 110894, 236779, 15979, 1083, 2416, 236764, 623, 36217, 236779, 19001, 1083, 623, 236819, 236771, 2668, 2351, 496, 236743, 236770, 236828, 236771, 236772, 1496, 2846, 827, 623, 15979, 236779, 60307, 1083, 11058, 13280, 749, 236761, 236773, 236761, 34558, 607, 657, 3198, 236743, 236800, 3794, 28100, 6998, 506, 10518, 4196, 827, 623, 14476, 529, 4886, 236772, 59667, 4301, 76717, 827, 623, 14476, 529, 22162, 528, 7001, 827, 623, 44410, 5526, 8657, 14086, 657, 3198, 621, 236756, 236778, 236771, 552, 236800, 236771, 236764, 236771, 236771, 236771, 14255, 623, 33686, 236779, 23184, 1083, 623, 3771, 33485, 3739, 3149, 573, 2822, 236772, 6061, 20623, 653, 1960, 20503, 236761, 31246, 16807, 6524, 6035, 580, 506, 5125, 7830, 73460, 4456, 1680, 4301, 10498, 623, 6265, 1083, 623, 42150, 14815, 529, 20370, 20004, 25938, 106, 107, 105, 4368, 107, 818, 5125, 7830, 73460, 4456, 20442, 2574, 1411, 2769, 236761, 30341, 160302, 236772, 605, 236761, 2187, 18833, 563, 15283, 568, 22005, 236743, 236778, 236771, 236771, 4981, 769, 138, 108, 1018, 130820, 33197, 573, 2590, 44969, 128309, 531, 7001, 53121, 138, 107, 240732, 5213, 3771, 33485, 3149, 1018, 573, 2822, 236772, 6061, 26432, 568, 216398, 236786, 23019, 769, 138, 107, 249022, 5213, 70242, 12032, 53121, 5827, 531, 236743, 236819, 236771, 2668, 2351, 1027, 236743, 236770, 236828, 236771, 236772, 1496, 2846, 236761, 138, 108, 1018, 23520, 55974, 53121, 138, 107, 236772, 30638, 749, 236761, 236773, 236761, 34558, 607, 657, 3198, 236743, 236800, 3794, 28100, 6998, 822, 10518, 4196, 138, 107, 236772, 36643, 529, 4886, 236772, 59667, 4301, 76717, 138, 107, 236772, 36643, 529, 22162, 528, 7001, 138, 107, 236772, 17172, 5526, 8657, 14086, 657, 3198, 11361, 236800, 236771, 236764, 236771, 236771, 236771, 138, 108, 236813, 236743, 245929, 238178, 808, 53787, 16807, 506, 6524, 6035, 580, 506, 870, 56488, 7830, 73460, 4456, 5457, 2574, 1411, 2769, 236761, 30341, 160302, 236772, 605, 236761, 2187, 236768, 1680, 18154, 236764, 618, 10034, 1149, 2352, 9603, 138, 107, 236813, 17690, 236787, 7830, 14815, 529, 20370, 20004, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 7001, 532, 1202, 531, 2426, 506, 33485, 6035, 573, 2590, 11838, 236761, 13677, 26891, 236764, 564, 1461, 531, 1386, 2889, 506, 5125, 7830, 73460, 4456, 563, 15283, 236761, 3199, 611, 2426, 768, 4560, 1411, 2769, 236761, 30341, 160302, 236772, 605, 236761, 2187, 563, 872, 532, 1299, 2847, 506, 33485, 6035, 768, 625, 563, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 23557, 827, 623, 2855, 236779, 4818, 1083, 236743, 236778, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 110894, 236779, 15979, 1083, 2416, 236764, 623, 36217, 236779, 19001, 1083, 623, 236819, 236771, 2668, 2351, 496, 236743, 236770, 236828, 236771, 236772, 1496, 2846, 827, 623, 15979, 236779, 60307, 1083, 11058, 13280, 749, 236761, 236773, 236761, 34558, 607, 657, 3198, 236743, 236800, 3794, 28100, 6998, 506, 10518, 4196, 827, 623, 14476, 529, 4886, 236772, 59667, 4301, 76717, 827, 623, 14476, 529, 22162, 528, 7001, 827, 623, 44410, 5526, 8657, 14086, 657, 3198, 621, 236756, 236778, 236771, 552, 236800, 236771, 236764, 236771, 236771, 236771, 14255, 623, 33686, 236779, 23184, 1083, 623, 3771, 33485, 3739, 3149, 573, 2822, 236772, 6061, 20623, 653, 1960, 20503, 236761, 31246, 16807, 6524, 6035, 580, 506, 5125, 7830, 73460, 4456, 1680, 4301, 10498, 623, 6265, 1083, 623, 42150, 14815, 529, 20370, 20004, 25938, 106, 107, 105, 4368, 107, 818, 5125, 7830, 73460, 4456, 20442, 2574, 1411, 2769, 236761, 30341, 160302, 236772, 605, 236761, 2187, 18833, 563, 15283, 568, 22005, 236743, 236778, 236771, 236771, 4981, 769, 138, 108, 1018, 130820, 33197, 573, 2590, 44969, 128309, 531, 7001, 53121, 138, 107, 240732, 5213, 3771, 33485, 3149, 1018, 573, 2822, 236772, 6061, 26432, 568, 216398, 236786, 23019, 769, 138, 107, 249022, 5213, 70242, 12032, 53121, 5827, 531, 236743, 236819, 236771, 2668, 2351, 1027, 236743, 236770, 236828, 236771, 236772, 1496, 2846, 236761, 138, 108, 1018, 23520, 55974, 53121, 138, 107, 236772, 30638, 749, 236761, 236773, 236761, 34558, 607, 657, 3198, 236743, 236800, 3794, 28100, 6998, 822, 10518, 4196, 138, 107, 236772, 36643, 529, 4886, 236772, 59667, 4301, 76717, 138, 107, 236772, 36643, 529, 22162, 528, 7001, 138, 107, 236772, 17172, 5526, 8657, 14086, 657, 3198, 11361, 236800, 236771, 236764, 236771, 236771, 236771, 138, 108, 236813, 236743, 245929, 238178, 808, 53787, 16807, 506, 6524, 6035, 580, 506, 870, 56488, 7830, 73460, 4456, 5457, 2574, 1411, 2769, 236761, 30341, 160302, 236772, 605, 236761, 2187, 236768, 1680, 18154, 236764, 618, 10034, 1149, 2352, 9603, 138, 107, 236813, 17690, 236787, 7830, 14815, 529, 20370, 20004, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236775, 236777, 236789, 236757, 4875, 531, 1601, 1041, 9171, 6054, 506, 2436, 1550, 529, 1116, 236743, 236778, 236771, 236770, 236810, 31601, 142715, 236764, 840, 506, 77648, 1304, 3847, 568, 236810, 236874, 236811, 8462, 236812, 10421, 236828, 236788, 236800, 236770, 236819, 236828, 236832, 236778, 236778, 236768, 4038, 236789, 236745, 981, 607, 506, 37731, 5904, 236761, 5315, 236764, 740, 611, 2426, 768, 672, 77648, 563, 4341, 1699, 506, 7500, 2436, 1550, 9299, 236881, 1637, 625, 20269, 236764, 1531, 236789, 236751, 151350, 684, 16329, 8008, 31601, 4681, 531, 9128, 506, 142715, 7519, 528, 910, 37539, 236761, 9920, 692, 14245, 506, 77648, 4186, 236764, 692, 236789, 859, 1202, 531, 974, 506, 4338, 1550, 236761, 7062, 236764, 532, 1308, 600, 236764, 1304, 6950, 6995, 496, 4284, 7946, 531, 506, 33946, 7940, 237028, 46052, 611, 992, 3600, 14942, 41997, 16266, 699, 2774, 15444, 1699, 1027, 15468, 6436, 611, 735, 7462, 753, 669, 77648, 2426, 795, 4547, 5121, 568, 29995, 6518, 236786, 5640, 779, 20226, 506, 12498, 531, 38179, 531, 41483, 506, 2028, 1171, 236761, 753, 4210, 49378, 623, 9521, 36995, 236775, 563, 496, 4341, 31601, 2028, 236764, 506, 12498, 1921, 10048, 684, 46133, 496, 32107, 77648, 236761, 753, 99423, 48835, 1161, 529, 2165, 41239, 236779, 16350, 236779, 2394, 236779, 2003, 236779, 10383, 236929, 16130, 2165, 828, 236779, 41239, 236779, 11245, 236929, 568, 584, 3165, 236768, 16130, 1626, 544, 59078, 529, 2165, 41239, 236779, 16350, 236779, 2394, 236779, 2003, 236779, 10383, 236929, 607, 4341, 77648, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 50615, 711, 1765, 827, 623, 13308, 1083, 3714, 10383, 1083, 623, 18331, 653, 113671, 77648, 6518, 573, 2436, 37731, 827, 623, 147376, 1083, 623, 81933, 77648, 10634, 653, 2426, 8008, 4681, 1699, 974, 236779, 41239, 236779, 11245, 5904, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11245, 1083, 11058, 9521, 36995, 827, 623, 29256, 824, 827, 623, 17831, 525, 827, 623, 145058, 827, 623, 6459, 236772, 236847, 827, 623, 118575, 827, 623, 46130, 65602, 827, 623, 201598, 236759, 6152, 827, 623, 17372, 236772, 236847, 827, 623, 185334, 14255, 623, 9636, 1083, 623, 120803, 827, 623, 2861, 1083, 236743, 236770, 236771, 236783, 106, 107, 105, 4368, 107, 818, 77648, 3847, 7412, 531, 577, 19070, 236764, 840, 623, 9521, 36995, 236775, 563, 10778, 618, 496, 4341, 31601, 2028, 528, 506, 1458, 236761, 7323, 16807, 506, 77648, 10634, 607, 822, 9171, 236761, 9920, 32107, 236764, 692, 740, 544, 59078, 506, 37731, 1699, 506, 10448, 77648, 236761, 236743, 108, 38786, 611, 1133, 531, 7162, 607, 496, 861, 77648, 236764, 653, 1093, 611, 1133, 786, 531, 1385, 872, 2870, 236743, 236778, 236771, 236770, 236810, 31601, 142715, 2436, 2979, 1699, 34281, 1262, 5205, 236881, 236743, 108, 236820, 14210, 236813, 107, 76171, 506, 41997, 16266, 236787, 5450, 529, 506, 1873, 6436, 1894, 15468, 236786, 48536, 18544, 236761, 1701, 672, 912, 529, 506, 2864, 236764, 564, 5840, 1699, 6475, 39247, 653, 2343, 178179, 573, 9116, 6995, 236761, 107, 954, 14210, 236813, 106, 107, 105, 2364, 107, 236775, 12879, 573, 16329, 506, 77648, 532, 49378, 506, 142715, 2028, 563, 4341, 236761, 3792, 786, 3972, 236772, 4256, 607, 1041, 9171, 237028, 12053, 2473, 236858, 560, 196324, 4945, 236761, 1637, 1304, 740, 236858, 236745, 2847, 496, 32107, 77648, 236764, 1531, 236858, 236751, 817, 607, 506, 34281, 2436, 1550, 573, 496, 236743, 236778, 236771, 236770, 236810, 31601, 142715, 528, 5888, 4194, 236761, 1701, 506, 41997, 16266, 236764, 951, 45615, 237028, 236777, 236858, 859, 1161, 6475, 39247, 531, 8541, 21090, 3008, 506, 7940, 7901, 43902, 9252, 1534, 2774, 15444, 532, 1799, 30040, 236761, 7429, 531, 506, 77648, 236787, 1677, 506, 1458, 4242, 11409, 12853, 236764, 653, 1374, 692, 7162, 5467, 531, 506, 34281, 1262, 7462, 753, 99423, 32622, 13179, 236787, 768, 496, 861, 77648, 20269, 1570, 236764, 90104, 531, 34281, 1262, 236761, 753, 116292, 9116, 1159, 8071, 7087, 8398, 5904, 104027, 1680, 26891, 236761, 753, 77648, 18256, 8800, 3016, 10997, 236793, 1492, 7257, 2430, 236772, 56082, 10941, 2479, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 77648, 827, 623, 13308, 1083, 3714, 4375, 1083, 623, 818, 3847, 77648, 568, 236810, 236874, 236811, 8462, 236812, 10421, 236828, 236788, 236800, 236770, 236819, 236828, 236832, 236778, 236778, 236768, 563, 19070, 653, 711, 12659, 684, 506, 37731, 2509, 1781, 1807, 106, 107, 105, 4368, 107, 818, 1458, 1677, 711, 4242, 11409, 77648, 12853, 573, 37731, 236761, 19446, 496, 32107, 77648, 236764, 692, 3914, 7162, 607, 506, 5904, 236772, 5140, 37731, 236761, 3153, 236764, 564, 740, 2847, 2870, 2436, 15067, 573, 236743, 236778, 236771, 236770, 236810, 31601, 3468, 2879, 527, 1699, 34281, 1262, 699, 8398, 7021, 568, 236744, 236761, 236759, 1126, 96152, 9595, 7167, 653, 164756, 236768, 768, 611, 236789, 236753, 1133, 236761, 236743, 108, 2542, 506, 41997, 16266, 236764, 6475, 39247, 795, 577, 822, 1791, 6511, 573, 7940, 7901, 43902, 9252, 9204, 26931, 236761, 236743, 108, 38786, 611, 1133, 786, 531, 33205, 34281, 2436, 1550, 14287, 573, 496, 236743, 236778, 236771, 236770, 236810, 142715, 528, 5888, 4194, 236764, 653, 1093, 611, 5278, 531, 4491, 573, 496, 32107, 77648, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236775, 236777, 236789, 236757, 4875, 531, 1601, 1041, 9171, 6054, 506, 2436, 1550, 529, 1116, 236743, 236778, 236771, 236770, 236810, 31601, 142715, 236764, 840, 506, 77648, 1304, 3847, 568, 236810, 236874, 236811, 8462, 236812, 10421, 236828, 236788, 236800, 236770, 236819, 236828, 236832, 236778, 236778, 236768, 4038, 236789, 236745, 981, 607, 506, 37731, 5904, 236761, 5315, 236764, 740, 611, 2426, 768, 672, 77648, 563, 4341, 1699, 506, 7500, 2436, 1550, 9299, 236881, 1637, 625, 20269, 236764, 1531, 236789, 236751, 151350, 684, 16329, 8008, 31601, 4681, 531, 9128, 506, 142715, 7519, 528, 910, 37539, 236761, 9920, 692, 14245, 506, 77648, 4186, 236764, 692, 236789, 859, 1202, 531, 974, 506, 4338, 1550, 236761, 7062, 236764, 532, 1308, 600, 236764, 1304, 6950, 6995, 496, 4284, 7946, 531, 506, 33946, 7940, 237028, 46052, 611, 992, 3600, 14942, 41997, 16266, 699, 2774, 15444, 1699, 1027, 15468, 6436, 611, 735, 7462, 753, 669, 77648, 2426, 795, 4547, 5121, 568, 29995, 6518, 236786, 5640, 779, 20226, 506, 12498, 531, 38179, 531, 41483, 506, 2028, 1171, 236761, 753, 4210, 49378, 623, 9521, 36995, 236775, 563, 496, 4341, 31601, 2028, 236764, 506, 12498, 1921, 10048, 684, 46133, 496, 32107, 77648, 236761, 753, 99423, 48835, 1161, 529, 2165, 41239, 236779, 16350, 236779, 2394, 236779, 2003, 236779, 10383, 236929, 16130, 2165, 828, 236779, 41239, 236779, 11245, 236929, 568, 584, 3165, 236768, 16130, 1626, 544, 59078, 529, 2165, 41239, 236779, 16350, 236779, 2394, 236779, 2003, 236779, 10383, 236929, 607, 4341, 77648, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 50615, 711, 1765, 827, 623, 13308, 1083, 3714, 10383, 1083, 623, 18331, 653, 113671, 77648, 6518, 573, 2436, 37731, 827, 623, 147376, 1083, 623, 81933, 77648, 10634, 653, 2426, 8008, 4681, 1699, 974, 236779, 41239, 236779, 11245, 5904, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11245, 1083, 11058, 9521, 36995, 827, 623, 29256, 824, 827, 623, 17831, 525, 827, 623, 145058, 827, 623, 6459, 236772, 236847, 827, 623, 118575, 827, 623, 46130, 65602, 827, 623, 201598, 236759, 6152, 827, 623, 17372, 236772, 236847, 827, 623, 185334, 14255, 623, 9636, 1083, 623, 120803, 827, 623, 2861, 1083, 236743, 236770, 236771, 236783, 106, 107, 105, 4368, 107, 818, 77648, 3847, 7412, 531, 577, 19070, 236764, 840, 623, 9521, 36995, 236775, 563, 10778, 618, 496, 4341, 31601, 2028, 528, 506, 1458, 236761, 7323, 16807, 506, 77648, 10634, 607, 822, 9171, 236761, 9920, 32107, 236764, 692, 740, 544, 59078, 506, 37731, 1699, 506, 10448, 77648, 236761, 236743, 108, 38786, 611, 1133, 531, 7162, 607, 496, 861, 77648, 236764, 653, 1093, 611, 1133, 786, 531, 1385, 872, 2870, 236743, 236778, 236771, 236770, 236810, 31601, 142715, 2436, 2979, 1699, 34281, 1262, 5205, 236881, 236743, 108, 236820, 14210, 236813, 107, 76171, 506, 41997, 16266, 236787, 5450, 529, 506, 1873, 6436, 1894, 15468, 236786, 48536, 18544, 236761, 1701, 672, 912, 529, 506, 2864, 236764, 564, 5840, 1699, 6475, 39247, 653, 2343, 178179, 573, 9116, 6995, 236761, 107, 954, 14210, 236813, 106, 107, 105, 2364, 107, 236775, 12879, 573, 16329, 506, 77648, 532, 49378, 506, 142715, 2028, 563, 4341, 236761, 3792, 786, 3972, 236772, 4256, 607, 1041, 9171, 237028, 12053, 2473, 236858, 560, 196324, 4945, 236761, 1637, 1304, 740, 236858, 236745, 2847, 496, 32107, 77648, 236764, 1531, 236858, 236751, 817, 607, 506, 34281, 2436, 1550, 573, 496, 236743, 236778, 236771, 236770, 236810, 31601, 142715, 528, 5888, 4194, 236761, 1701, 506, 41997, 16266, 236764, 951, 45615, 237028, 236777, 236858, 859, 1161, 6475, 39247, 531, 8541, 21090, 3008, 506, 7940, 7901, 43902, 9252, 1534, 2774, 15444, 532, 1799, 30040, 236761, 7429, 531, 506, 77648, 236787, 1677, 506, 1458, 4242, 11409, 12853, 236764, 653, 1374, 692, 7162, 5467, 531, 506, 34281, 1262, 7462, 753, 99423, 32622, 13179, 236787, 768, 496, 861, 77648, 20269, 1570, 236764, 90104, 531, 34281, 1262, 236761, 753, 116292, 9116, 1159, 8071, 7087, 8398, 5904, 104027, 1680, 26891, 236761, 753, 77648, 18256, 8800, 3016, 10997, 236793, 1492, 7257, 2430, 236772, 56082, 10941, 2479, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 77648, 827, 623, 13308, 1083, 3714, 4375, 1083, 623, 818, 3847, 77648, 568, 236810, 236874, 236811, 8462, 236812, 10421, 236828, 236788, 236800, 236770, 236819, 236828, 236832, 236778, 236778, 236768, 563, 19070, 653, 711, 12659, 684, 506, 37731, 2509, 1781, 1807, 106, 107, 105, 4368, 107, 818, 1458, 1677, 711, 4242, 11409, 77648, 12853, 573, 37731, 236761, 19446, 496, 32107, 77648, 236764, 692, 3914, 7162, 607, 506, 5904, 236772, 5140, 37731, 236761, 3153, 236764, 564, 740, 2847, 2870, 2436, 15067, 573, 236743, 236778, 236771, 236770, 236810, 31601, 3468, 2879, 527, 1699, 34281, 1262, 699, 8398, 7021, 568, 236744, 236761, 236759, 1126, 96152, 9595, 7167, 653, 164756, 236768, 768, 611, 236789, 236753, 1133, 236761, 236743, 108, 2542, 506, 41997, 16266, 236764, 6475, 39247, 795, 577, 822, 1791, 6511, 573, 7940, 7901, 43902, 9252, 9204, 26931, 236761, 236743, 108, 38786, 611, 1133, 786, 531, 33205, 34281, 2436, 1550, 14287, 573, 496, 236743, 236778, 236771, 236770, 236810, 142715, 528, 5888, 4194, 236764, 653, 1093, 611, 5278, 531, 4491, 573, 496, 32107, 77648, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2260, 496, 10224, 573, 786, 531, 1799, 3773, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 3927, 573, 12616, 2721, 580, 4563, 236764, 27249, 236764, 532, 3385, 2644, 236761, 21284, 611, 1133, 786, 531, 1601, 611, 1586, 12616, 528, 1799, 3773, 5205, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2260, 496, 10224, 573, 786, 531, 1799, 3773, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 3927, 573, 12616, 2721, 580, 4563, 236764, 27249, 236764, 532, 3385, 2644, 236761, 21284, 611, 1133, 786, 531, 1601, 611, 1586, 12616, 528, 1799, 3773, 5205, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 1900, 4083, 573, 4430, 5853, 236743, 236770, 236778, 236800, 236812, 236810, 531, 9128, 506, 4981, 529, 910, 3527, 25663, 1680, 6250, 496, 861, 14510, 12539, 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, 11339, 1083, 78493, 2400, 236779, 547, 1083, 623, 130870, 236772, 236770, 236778, 236800, 236812, 236810, 236772, 236771, 236771, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 40812, 827, 623, 17870, 1083, 78493, 5930, 236779, 547, 1083, 623, 6664, 236796, 236772, 236828, 236828, 236832, 236800, 827, 623, 1201, 1083, 623, 81343, 45240, 5833, 23179, 3714, 5930, 236779, 547, 1083, 623, 6664, 236796, 236772, 236819, 236770, 236810, 236812, 827, 623, 1201, 1083, 623, 68428, 118162, 236775, 200808, 3714, 2400, 236779, 547, 1083, 623, 130870, 236772, 236770, 236778, 236800, 236812, 236810, 236772, 236771, 236812, 236832, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236778, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 23046, 827, 623, 17870, 1083, 78493, 5930, 236779, 547, 1083, 623, 6664, 236796, 236772, 236832, 236832, 236778, 236770, 827, 623, 1201, 1083, 623, 91857, 30404, 3520, 125305, 236775, 200808, 3714, 2400, 236779, 547, 1083, 623, 130870, 236772, 236770, 236778, 236800, 236812, 236810, 236772, 236771, 236832, 236828, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236771, 236774, 236770, 236825, 236787, 236812, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 1179, 8329, 827, 623, 17870, 1083, 78493, 5930, 236779, 547, 1083, 623, 6664, 236796, 236772, 236825, 236825, 236771, 236819, 827, 623, 1201, 1083, 623, 201320, 20012, 68914, 23179, 3714, 5930, 236779, 547, 1083, 623, 6664, 236796, 236772, 236810, 236810, 236828, 236778, 827, 623, 1201, 1083, 623, 32106, 37615, 58774, 236775, 15947, 104960, 623, 5586, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 827, 623, 6725, 236779, 11339, 1083, 236743, 236800, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1900, 4083, 573, 4430, 5853, 5213, 236770, 236778, 236800, 236812, 236810, 66515, 108, 1018, 9640, 40082, 53121, 236743, 236800, 138, 107, 1018, 9008, 42841, 53121, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 108, 10354, 12045, 20303, 236787, 107, 236770, 236761, 5213, 9067, 5853, 53121, 110687, 236772, 236770, 236778, 236800, 236812, 236810, 236772, 236771, 236771, 236770, 138, 107, 139, 1018, 3682, 53121, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 139, 1018, 6717, 53121, 113452, 97888, 138, 107, 139, 1018, 22567, 53121, 138, 107, 139, 236772, 19380, 45240, 5833, 568, 6664, 236796, 236772, 236828, 236828, 236832, 236800, 236768, 138, 107, 139, 236772, 56756, 118162, 568, 6664, 236796, 236772, 236819, 236770, 236810, 236812, 236768, 138, 108, 236778, 236761, 5213, 9067, 5853, 53121, 110687, 236772, 236770, 236778, 236800, 236812, 236810, 236772, 236771, 236812, 236832, 138, 107, 139, 1018, 3682, 53121, 3353, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 139, 1018, 6717, 53121, 236743, 249022, 39244, 138, 107, 139, 1018, 22567, 53121, 138, 107, 139, 236772, 120958, 3520, 125305, 568, 6664, 236796, 236772, 236832, 236832, 236778, 236770, 236768, 138, 108, 236800, 236761, 5213, 9067, 5853, 53121, 110687, 236772, 236770, 236778, 236800, 236812, 236810, 236772, 236771, 236832, 236828, 138, 107, 139, 1018, 3682, 53121, 5142, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 139, 1018, 6717, 53121, 236743, 246727, 1705, 8329, 138, 107, 139, 1018, 22567, 53121, 138, 107, 139, 236772, 76247, 20012, 68914, 568, 6664, 236796, 236772, 236825, 236825, 236771, 236819, 236768, 138, 107, 139, 236772, 14232, 37615, 58774, 568, 6664, 236796, 236772, 236810, 236810, 236828, 236778, 236768, 138, 108, 38786, 611, 1133, 65977, 580, 1027, 529, 1239, 10400, 1680, 26891, 607, 506, 861, 14510, 12539, 236881, 106, 107, 105, 2364, 107, 236777, 14756, 506, 9813, 1900, 4083, 236761, 28344, 611, 37386, 768, 506, 623, 91857, 30404, 3520, 125305, 568, 6664, 236796, 236772, 236832, 236832, 236778, 236770, 16291, 699, 506, 3353, 236743, 236778, 8487, 1900, 815, 1027, 3530, 3325, 2256, 8687, 653, 22600, 52609, 600, 2473, 4100, 6250, 506, 861, 12539, 236881, 6542, 236764, 2338, 506, 5142, 236743, 236770, 236771, 1900, 5012, 496, 623, 32106, 37615, 58774, 568, 6664, 236796, 236772, 236810, 236810, 236828, 236778, 22730, 564, 236858, 236753, 1133, 531, 16807, 768, 993, 659, 1027, 29283, 8735, 2487, 573, 600, 5280, 531, 5330, 37031, 607, 506, 861, 14510, 23003, 236761, 106, 107, 105, 4368, 107, 818, 1938, 3847, 1343, 506, 1873, 5904, 1677, 711, 3204, 3325, 2256, 8687, 236764, 17611, 4981, 236764, 653, 29283, 8735, 573, 3530, 3211, 236761, 3143, 4889, 1093, 11082, 1660, 2802, 531, 6145, 3325, 3997, 3797, 653, 8330, 13049, 34438, 236764, 837, 659, 4782, 506, 11104, 529, 506, 1900, 4083, 51139, 1292, 236761, 108, 2542, 506, 5213, 91857, 30404, 3520, 125305, 568, 6664, 236796, 236772, 236832, 236832, 236778, 236770, 62902, 236764, 611, 1149, 1202, 531, 236787, 107, 236772, 7179, 6145, 3325, 2256, 25716, 573, 22600, 52609, 236761, 107, 236772, 66636, 768, 1027, 1908, 236772, 746, 12404, 7248, 568, 216457, 236751, 236768, 659, 5143, 607, 672, 5280, 236761, 108, 2542, 506, 5213, 32106, 37615, 58774, 568, 6664, 236796, 236772, 236810, 236810, 236828, 236778, 62902, 236764, 29283, 8735, 1093, 4781, 577, 11628, 528, 236787, 107, 236772, 669, 14202, 236858, 236751, 8330, 13049, 236761, 107, 236772, 5180, 6261, 236858, 236751, 29283, 3997, 1458, 568, 584, 11955, 769, 108, 38786, 611, 1133, 786, 531, 8214, 611, 580, 1217, 531, 3927, 573, 1239, 8735, 528, 822, 6145, 3797, 236764, 653, 1093, 611, 5278, 786, 531, 2426, 768, 4767, 6436, 659, 2487, 573, 672, 5708, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 65977, 236761, 5612, 692, 740, 236789, 236745, 2802, 6145, 3797, 1343, 672, 7937, 236764, 1451, 611, 1601, 786, 4071, 236772, 30449, 506, 5213, 32106, 37615, 58774, 568, 6664, 236796, 236772, 236810, 236810, 236828, 236778, 62902, 607, 1027, 4803, 3325, 51679, 653, 50627, 9456, 528, 506, 1237, 8330, 34438, 611, 735, 2802, 531, 236881, 5978, 672, 5889, 236858, 236745, 496, 1982, 5904, 1292, 236764, 564, 236858, 236753, 1133, 531, 5330, 993, 659, 951, 3224, 4342, 607, 672, 5280, 2028, 600, 2473, 4208, 1023, 14510, 236858, 236751, 14143, 8443, 236761, 106, 107, 105, 4368, 107, 236777, 3050, 822, 4561, 1003, 14143, 532, 5280, 21016, 236761, 3153, 236764, 2721, 580, 506, 6436, 5633, 2487, 531, 786, 236764, 564, 3914, 5467, 2802, 653, 4071, 236772, 30449, 1237, 8330, 34438, 568, 236744, 236761, 236759, 1126, 14202, 50627, 236764, 3956, 51679, 236768, 653, 6145, 29283, 8735, 236761, 669, 5213, 828, 10796, 3315, 1018, 5904, 563, 5809, 531, 67896, 1900, 4083, 1262, 699, 506, 27633, 1458, 236761, 108, 10354, 91330, 573, 5180, 16499, 236787, 107, 236770, 236761, 5213, 2542, 19779, 165731, 236786, 5766, 7969, 53121, 138, 107, 139, 236772, 2599, 1755, 2426, 1237, 14202, 17909, 653, 3956, 14175, 1133, 870, 236797, 4169, 5457, 2574, 1411, 2769, 236761, 95311, 236761, 12561, 31004, 568, 1708, 29283, 8443, 236768, 653, 870, 61750, 7883, 57138, 7948, 5457, 2574, 1411, 2769, 236761, 233190, 236761, 12561, 236786, 57177, 236772, 64924, 236786, 841, 2917, 236768, 568, 584, 11955, 531, 5526, 7359, 769, 138, 107, 139, 236772, 66636, 768, 7841, 236796, 236772, 236810, 236810, 236828, 236778, 815, 496, 3224, 16355, 4083, 607, 506, 27313, 236761, 108, 236778, 236761, 5213, 2542, 126696, 22204, 53121, 138, 107, 139, 236772, 64063, 607, 822, 41108, 2434, 768, 29283, 35065, 964, 3847, 573, 7841, 236796, 236772, 236810, 236810, 236828, 236778, 528, 506, 5142, 236743, 236770, 236771, 39391, 568, 130870, 236772, 236770, 236778, 236800, 236812, 236810, 236772, 236771, 236832, 236828, 769, 138, 107, 139, 236772, 1637, 672, 5280, 563, 6749, 236764, 1966, 226805, 625, 573, 544, 236772, 142640, 1680, 14510, 236761, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 496, 60218, 573, 1239, 28250, 6555, 236764, 653, 6361, 607, 2264, 1900, 236772, 10619, 7609, 1298, 564, 740, 1161, 506, 5213, 828, 10796, 3315, 1018, 5904, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 1900, 4083, 573, 4430, 5853, 236743, 236770, 236778, 236800, 236812, 236810, 531, 9128, 506, 4981, 529, 910, 3527, 25663, 1680, 6250, 496, 861, 14510, 12539, 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, 11339, 1083, 78493, 2400, 236779, 547, 1083, 623, 130870, 236772, 236770, 236778, 236800, 236812, 236810, 236772, 236771, 236771, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 40812, 827, 623, 17870, 1083, 78493, 5930, 236779, 547, 1083, 623, 6664, 236796, 236772, 236828, 236828, 236832, 236800, 827, 623, 1201, 1083, 623, 81343, 45240, 5833, 23179, 3714, 5930, 236779, 547, 1083, 623, 6664, 236796, 236772, 236819, 236770, 236810, 236812, 827, 623, 1201, 1083, 623, 68428, 118162, 236775, 200808, 3714, 2400, 236779, 547, 1083, 623, 130870, 236772, 236770, 236778, 236800, 236812, 236810, 236772, 236771, 236812, 236832, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236778, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 23046, 827, 623, 17870, 1083, 78493, 5930, 236779, 547, 1083, 623, 6664, 236796, 236772, 236832, 236832, 236778, 236770, 827, 623, 1201, 1083, 623, 91857, 30404, 3520, 125305, 236775, 200808, 3714, 2400, 236779, 547, 1083, 623, 130870, 236772, 236770, 236778, 236800, 236812, 236810, 236772, 236771, 236832, 236828, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236771, 236774, 236770, 236825, 236787, 236812, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 1179, 8329, 827, 623, 17870, 1083, 78493, 5930, 236779, 547, 1083, 623, 6664, 236796, 236772, 236825, 236825, 236771, 236819, 827, 623, 1201, 1083, 623, 201320, 20012, 68914, 23179, 3714, 5930, 236779, 547, 1083, 623, 6664, 236796, 236772, 236810, 236810, 236828, 236778, 827, 623, 1201, 1083, 623, 32106, 37615, 58774, 236775, 15947, 104960, 623, 5586, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 827, 623, 6725, 236779, 11339, 1083, 236743, 236800, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1900, 4083, 573, 4430, 5853, 5213, 236770, 236778, 236800, 236812, 236810, 66515, 108, 1018, 9640, 40082, 53121, 236743, 236800, 138, 107, 1018, 9008, 42841, 53121, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 108, 10354, 12045, 20303, 236787, 107, 236770, 236761, 5213, 9067, 5853, 53121, 110687, 236772, 236770, 236778, 236800, 236812, 236810, 236772, 236771, 236771, 236770, 138, 107, 139, 1018, 3682, 53121, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 139, 1018, 6717, 53121, 113452, 97888, 138, 107, 139, 1018, 22567, 53121, 138, 107, 139, 236772, 19380, 45240, 5833, 568, 6664, 236796, 236772, 236828, 236828, 236832, 236800, 236768, 138, 107, 139, 236772, 56756, 118162, 568, 6664, 236796, 236772, 236819, 236770, 236810, 236812, 236768, 138, 108, 236778, 236761, 5213, 9067, 5853, 53121, 110687, 236772, 236770, 236778, 236800, 236812, 236810, 236772, 236771, 236812, 236832, 138, 107, 139, 1018, 3682, 53121, 3353, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 139, 1018, 6717, 53121, 236743, 249022, 39244, 138, 107, 139, 1018, 22567, 53121, 138, 107, 139, 236772, 120958, 3520, 125305, 568, 6664, 236796, 236772, 236832, 236832, 236778, 236770, 236768, 138, 108, 236800, 236761, 5213, 9067, 5853, 53121, 110687, 236772, 236770, 236778, 236800, 236812, 236810, 236772, 236771, 236832, 236828, 138, 107, 139, 1018, 3682, 53121, 5142, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 139, 1018, 6717, 53121, 236743, 246727, 1705, 8329, 138, 107, 139, 1018, 22567, 53121, 138, 107, 139, 236772, 76247, 20012, 68914, 568, 6664, 236796, 236772, 236825, 236825, 236771, 236819, 236768, 138, 107, 139, 236772, 14232, 37615, 58774, 568, 6664, 236796, 236772, 236810, 236810, 236828, 236778, 236768, 138, 108, 38786, 611, 1133, 65977, 580, 1027, 529, 1239, 10400, 1680, 26891, 607, 506, 861, 14510, 12539, 236881, 106, 107, 105, 2364, 107, 236777, 14756, 506, 9813, 1900, 4083, 236761, 28344, 611, 37386, 768, 506, 623, 91857, 30404, 3520, 125305, 568, 6664, 236796, 236772, 236832, 236832, 236778, 236770, 16291, 699, 506, 3353, 236743, 236778, 8487, 1900, 815, 1027, 3530, 3325, 2256, 8687, 653, 22600, 52609, 600, 2473, 4100, 6250, 506, 861, 12539, 236881, 6542, 236764, 2338, 506, 5142, 236743, 236770, 236771, 1900, 5012, 496, 623, 32106, 37615, 58774, 568, 6664, 236796, 236772, 236810, 236810, 236828, 236778, 22730, 564, 236858, 236753, 1133, 531, 16807, 768, 993, 659, 1027, 29283, 8735, 2487, 573, 600, 5280, 531, 5330, 37031, 607, 506, 861, 14510, 23003, 236761, 106, 107, 105, 4368, 107, 818, 1938, 3847, 1343, 506, 1873, 5904, 1677, 711, 3204, 3325, 2256, 8687, 236764, 17611, 4981, 236764, 653, 29283, 8735, 573, 3530, 3211, 236761, 3143, 4889, 1093, 11082, 1660, 2802, 531, 6145, 3325, 3997, 3797, 653, 8330, 13049, 34438, 236764, 837, 659, 4782, 506, 11104, 529, 506, 1900, 4083, 51139, 1292, 236761, 108, 2542, 506, 5213, 91857, 30404, 3520, 125305, 568, 6664, 236796, 236772, 236832, 236832, 236778, 236770, 62902, 236764, 611, 1149, 1202, 531, 236787, 107, 236772, 7179, 6145, 3325, 2256, 25716, 573, 22600, 52609, 236761, 107, 236772, 66636, 768, 1027, 1908, 236772, 746, 12404, 7248, 568, 216457, 236751, 236768, 659, 5143, 607, 672, 5280, 236761, 108, 2542, 506, 5213, 32106, 37615, 58774, 568, 6664, 236796, 236772, 236810, 236810, 236828, 236778, 62902, 236764, 29283, 8735, 1093, 4781, 577, 11628, 528, 236787, 107, 236772, 669, 14202, 236858, 236751, 8330, 13049, 236761, 107, 236772, 5180, 6261, 236858, 236751, 29283, 3997, 1458, 568, 584, 11955, 769, 108, 38786, 611, 1133, 786, 531, 8214, 611, 580, 1217, 531, 3927, 573, 1239, 8735, 528, 822, 6145, 3797, 236764, 653, 1093, 611, 5278, 786, 531, 2426, 768, 4767, 6436, 659, 2487, 573, 672, 5708, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 65977, 236761, 5612, 692, 740, 236789, 236745, 2802, 6145, 3797, 1343, 672, 7937, 236764, 1451, 611, 1601, 786, 4071, 236772, 30449, 506, 5213, 32106, 37615, 58774, 568, 6664, 236796, 236772, 236810, 236810, 236828, 236778, 62902, 607, 1027, 4803, 3325, 51679, 653, 50627, 9456, 528, 506, 1237, 8330, 34438, 611, 735, 2802, 531, 236881, 5978, 672, 5889, 236858, 236745, 496, 1982, 5904, 1292, 236764, 564, 236858, 236753, 1133, 531, 5330, 993, 659, 951, 3224, 4342, 607, 672, 5280, 2028, 600, 2473, 4208, 1023, 14510, 236858, 236751, 14143, 8443, 236761, 106, 107, 105, 4368, 107, 236777, 3050, 822, 4561, 1003, 14143, 532, 5280, 21016, 236761, 3153, 236764, 2721, 580, 506, 6436, 5633, 2487, 531, 786, 236764, 564, 3914, 5467, 2802, 653, 4071, 236772, 30449, 1237, 8330, 34438, 568, 236744, 236761, 236759, 1126, 14202, 50627, 236764, 3956, 51679, 236768, 653, 6145, 29283, 8735, 236761, 669, 5213, 828, 10796, 3315, 1018, 5904, 563, 5809, 531, 67896, 1900, 4083, 1262, 699, 506, 27633, 1458, 236761, 108, 10354, 91330, 573, 5180, 16499, 236787, 107, 236770, 236761, 5213, 2542, 19779, 165731, 236786, 5766, 7969, 53121, 138, 107, 139, 236772, 2599, 1755, 2426, 1237, 14202, 17909, 653, 3956, 14175, 1133, 870, 236797, 4169, 5457, 2574, 1411, 2769, 236761, 95311, 236761, 12561, 31004, 568, 1708, 29283, 8443, 236768, 653, 870, 61750, 7883, 57138, 7948, 5457, 2574, 1411, 2769, 236761, 233190, 236761, 12561, 236786, 57177, 236772, 64924, 236786, 841, 2917, 236768, 568, 584, 11955, 531, 5526, 7359, 769, 138, 107, 139, 236772, 66636, 768, 7841, 236796, 236772, 236810, 236810, 236828, 236778, 815, 496, 3224, 16355, 4083, 607, 506, 27313, 236761, 108, 236778, 236761, 5213, 2542, 126696, 22204, 53121, 138, 107, 139, 236772, 64063, 607, 822, 41108, 2434, 768, 29283, 35065, 964, 3847, 573, 7841, 236796, 236772, 236810, 236810, 236828, 236778, 528, 506, 5142, 236743, 236770, 236771, 39391, 568, 130870, 236772, 236770, 236778, 236800, 236812, 236810, 236772, 236771, 236832, 236828, 769, 138, 107, 139, 236772, 1637, 672, 5280, 563, 6749, 236764, 1966, 226805, 625, 573, 544, 236772, 142640, 1680, 14510, 236761, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 496, 60218, 573, 1239, 28250, 6555, 236764, 653, 6361, 607, 2264, 1900, 236772, 10619, 7609, 1298, 564, 740, 1161, 506, 5213, 828, 10796, 3315, 1018, 5904, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 92578, 506, 58542, 529, 614, 35088, 564, 1765, 3489, 600, 8787, 531, 577, 496, 5177, 3567, 529, 496, 8131, 576, 7417, 11710, 236761, 5715, 236789, 236751, 1144, 564, 1202, 611, 531, 776, 236787, 236743, 236770, 236761, 5315, 236764, 1161, 506, 2165, 828, 236749, 30888, 236779, 21052, 236929, 5904, 607, 4258, 3421, 2165, 236771, 236781, 236770, 236776, 236819, 236778, 236760, 236832, 236800, 236828, 236770, 236799, 236819, 236811, 236771, 236800, 236819, 236778, 236770, 236810, 236825, 236812, 236746, 236812, 236800, 236832, 236778, 236799, 236771, 236760, 236832, 236770, 236771, 236828, 236828, 236780, 236812, 236810, 236753, 236812, 236811, 236819, 236929, 532, 8369, 5853, 2165, 236828, 236828, 236778, 236778, 236770, 236770, 236929, 531, 33205, 1061, 28436, 236761, 236743, 236778, 236761, 1637, 506, 28436, 5132, 26765, 653, 13963, 236764, 4071, 236772, 4256, 1091, 2342, 3224, 8131, 576, 7417, 4146, 531, 8134, 114461, 236761, 236743, 236800, 236761, 1637, 496, 28436, 45305, 563, 1861, 236764, 18855, 506, 5177, 14431, 3205, 531, 5330, 625, 3298, 531, 24636, 8131, 576, 7417, 236772, 3061, 20431, 236761, 3792, 786, 1281, 768, 1027, 6555, 5121, 653, 768, 611, 1586, 2604, 22680, 1003, 506, 35088, 236858, 236751, 71972, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 170976, 827, 623, 7777, 1083, 623, 236776, 5177, 34889, 529, 496, 8131, 576, 7417, 236772, 3061, 11710, 18482, 496, 49257, 5811, 607, 18130, 59491, 10498, 623, 21052, 236779, 7149, 1083, 623, 2574, 1411, 85891, 20321, 236761, 2883, 236786, 209173, 236786, 230188, 145821, 236766, 6597, 236917, 69500, 236917, 22591, 236757, 204248, 236770, 236766, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 827, 623, 30374, 1083, 78493, 73903, 236779, 2084, 1083, 623, 56051, 827, 623, 2394, 1083, 623, 51857, 236772, 93264, 8131, 576, 7417, 23179, 3714, 73903, 236779, 2084, 1083, 623, 5771, 827, 623, 2394, 1083, 623, 23790, 2636, 617, 23179, 3714, 73903, 236779, 2084, 1083, 623, 21288, 827, 623, 2394, 1083, 623, 11008, 6742, 23179, 3714, 73903, 236779, 2084, 1083, 623, 3484, 123340, 827, 623, 2394, 1083, 623, 53666, 535, 558, 2699, 25938, 1604, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 69704, 236772, 209173, 236761, 854, 236786, 209173, 236786, 230188, 236917, 236863, 236770, 236765, 236812, 236765, 236810, 236810, 37446, 236809, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 236953, 827, 623, 107996, 236779, 27475, 1083, 3714, 31040, 236779, 10480, 1083, 1847, 236764, 623, 3061, 236779, 495, 127787, 1083, 623, 13060, 576, 7417, 236789, 236751, 3224, 4146, 1161, 59701, 236772, 22256, 617, 3117, 236764, 711, 118340, 617, 827, 623, 3001, 236779, 495, 127787, 1083, 623, 13060, 576, 7417, 20390, 1456, 40180, 33510, 528, 74755, 4146, 827, 623, 21052, 236779, 7149, 236779, 4730, 1083, 1847, 236764, 623, 10494, 236779, 11240, 236779, 10480, 1083, 2416, 1807, 106, 107, 105, 4368, 107, 818, 35088, 28250, 21577, 5065, 2604, 22680, 17674, 3435, 528, 46889, 8758, 236787, 108, 236770, 236761, 5213, 5771, 799, 127787, 66515, 138, 107, 139, 13060, 576, 7417, 236789, 236751, 27662, 4146, 659, 59701, 236772, 22256, 617, 236764, 840, 506, 28436, 96322, 15852, 623, 23790, 2636, 617, 236775, 3117, 237028, 236746, 3262, 59725, 236761, 108, 236778, 236761, 5213, 3484, 123340, 587, 108978, 66515, 138, 107, 139, 13060, 576, 7417, 20390, 1456, 40180, 33510, 568, 527, 8601, 528, 28250, 22680, 779, 3819, 672, 35088, 8787, 623, 53666, 535, 558, 2699, 236775, 618, 1061, 33448, 236761, 108, 236800, 236761, 5213, 14357, 18058, 587, 108978, 66515, 138, 107, 139, 818, 28436, 45305, 563, 4341, 236764, 840, 506, 5177, 14431, 236789, 236751, 15424, 1677, 711, 4241, 3224, 8131, 576, 7417, 4146, 236764, 22169, 506, 12809, 20431, 1149, 577, 27200, 653, 56124, 236761, 108, 236812, 236761, 5213, 1479, 33382, 7728, 236761, 18909, 66515, 138, 107, 139, 818, 6492, 25010, 12972, 625, 496, 623, 36661, 34889, 2098, 68118, 625, 563, 711, 614, 3303, 8131, 576, 7417, 6347, 8369, 1662, 618, 614, 35088, 236761, 108, 1018, 211199, 66515, 138, 107, 77499, 21186, 8423, 3342, 27662, 1343, 5125, 8131, 576, 7417, 31324, 13199, 653, 28971, 127389, 17507, 236761, 12713, 236772, 30449, 506, 4009, 3205, 607, 8131, 576, 7417, 48531, 568, 236744, 236761, 236759, 1126, 506, 8131, 576, 7417, 62188, 8171, 236768, 531, 9128, 7426, 58542, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 92578, 506, 58542, 529, 614, 35088, 564, 1765, 3489, 600, 8787, 531, 577, 496, 5177, 3567, 529, 496, 8131, 576, 7417, 11710, 236761, 5715, 236789, 236751, 1144, 564, 1202, 611, 531, 776, 236787, 236743, 236770, 236761, 5315, 236764, 1161, 506, 2165, 828, 236749, 30888, 236779, 21052, 236929, 5904, 607, 4258, 3421, 2165, 236771, 236781, 236770, 236776, 236819, 236778, 236760, 236832, 236800, 236828, 236770, 236799, 236819, 236811, 236771, 236800, 236819, 236778, 236770, 236810, 236825, 236812, 236746, 236812, 236800, 236832, 236778, 236799, 236771, 236760, 236832, 236770, 236771, 236828, 236828, 236780, 236812, 236810, 236753, 236812, 236811, 236819, 236929, 532, 8369, 5853, 2165, 236828, 236828, 236778, 236778, 236770, 236770, 236929, 531, 33205, 1061, 28436, 236761, 236743, 236778, 236761, 1637, 506, 28436, 5132, 26765, 653, 13963, 236764, 4071, 236772, 4256, 1091, 2342, 3224, 8131, 576, 7417, 4146, 531, 8134, 114461, 236761, 236743, 236800, 236761, 1637, 496, 28436, 45305, 563, 1861, 236764, 18855, 506, 5177, 14431, 3205, 531, 5330, 625, 3298, 531, 24636, 8131, 576, 7417, 236772, 3061, 20431, 236761, 3792, 786, 1281, 768, 1027, 6555, 5121, 653, 768, 611, 1586, 2604, 22680, 1003, 506, 35088, 236858, 236751, 71972, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 170976, 827, 623, 7777, 1083, 623, 236776, 5177, 34889, 529, 496, 8131, 576, 7417, 236772, 3061, 11710, 18482, 496, 49257, 5811, 607, 18130, 59491, 10498, 623, 21052, 236779, 7149, 1083, 623, 2574, 1411, 85891, 20321, 236761, 2883, 236786, 209173, 236786, 230188, 145821, 236766, 6597, 236917, 69500, 236917, 22591, 236757, 204248, 236770, 236766, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 236832, 236796, 827, 623, 30374, 1083, 78493, 73903, 236779, 2084, 1083, 623, 56051, 827, 623, 2394, 1083, 623, 51857, 236772, 93264, 8131, 576, 7417, 23179, 3714, 73903, 236779, 2084, 1083, 623, 5771, 827, 623, 2394, 1083, 623, 23790, 2636, 617, 23179, 3714, 73903, 236779, 2084, 1083, 623, 21288, 827, 623, 2394, 1083, 623, 11008, 6742, 23179, 3714, 73903, 236779, 2084, 1083, 623, 3484, 123340, 827, 623, 2394, 1083, 623, 53666, 535, 558, 2699, 25938, 1604, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 69704, 236772, 209173, 236761, 854, 236786, 209173, 236786, 230188, 236917, 236863, 236770, 236765, 236812, 236765, 236810, 236810, 37446, 236809, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 132947, 236953, 827, 623, 107996, 236779, 27475, 1083, 3714, 31040, 236779, 10480, 1083, 1847, 236764, 623, 3061, 236779, 495, 127787, 1083, 623, 13060, 576, 7417, 236789, 236751, 3224, 4146, 1161, 59701, 236772, 22256, 617, 3117, 236764, 711, 118340, 617, 827, 623, 3001, 236779, 495, 127787, 1083, 623, 13060, 576, 7417, 20390, 1456, 40180, 33510, 528, 74755, 4146, 827, 623, 21052, 236779, 7149, 236779, 4730, 1083, 1847, 236764, 623, 10494, 236779, 11240, 236779, 10480, 1083, 2416, 1807, 106, 107, 105, 4368, 107, 818, 35088, 28250, 21577, 5065, 2604, 22680, 17674, 3435, 528, 46889, 8758, 236787, 108, 236770, 236761, 5213, 5771, 799, 127787, 66515, 138, 107, 139, 13060, 576, 7417, 236789, 236751, 27662, 4146, 659, 59701, 236772, 22256, 617, 236764, 840, 506, 28436, 96322, 15852, 623, 23790, 2636, 617, 236775, 3117, 237028, 236746, 3262, 59725, 236761, 108, 236778, 236761, 5213, 3484, 123340, 587, 108978, 66515, 138, 107, 139, 13060, 576, 7417, 20390, 1456, 40180, 33510, 568, 527, 8601, 528, 28250, 22680, 779, 3819, 672, 35088, 8787, 623, 53666, 535, 558, 2699, 236775, 618, 1061, 33448, 236761, 108, 236800, 236761, 5213, 14357, 18058, 587, 108978, 66515, 138, 107, 139, 818, 28436, 45305, 563, 4341, 236764, 840, 506, 5177, 14431, 236789, 236751, 15424, 1677, 711, 4241, 3224, 8131, 576, 7417, 4146, 236764, 22169, 506, 12809, 20431, 1149, 577, 27200, 653, 56124, 236761, 108, 236812, 236761, 5213, 1479, 33382, 7728, 236761, 18909, 66515, 138, 107, 139, 818, 6492, 25010, 12972, 625, 496, 623, 36661, 34889, 2098, 68118, 625, 563, 711, 614, 3303, 8131, 576, 7417, 6347, 8369, 1662, 618, 614, 35088, 236761, 108, 1018, 211199, 66515, 138, 107, 77499, 21186, 8423, 3342, 27662, 1343, 5125, 8131, 576, 7417, 31324, 13199, 653, 28971, 127389, 17507, 236761, 12713, 236772, 30449, 506, 4009, 3205, 607, 8131, 576, 7417, 48531, 568, 236744, 236761, 236759, 1126, 506, 8131, 576, 7417, 62188, 8171, 236768, 531, 9128, 7426, 58542, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 19260, 1041, 2033, 11452, 10884, 573, 13564, 83470, 13526, 236761, 3199, 611, 1601, 786, 2426, 4889, 573, 672, 9855, 7937, 580, 8890, 17151, 236881, 669, 162355, 563, 236743, 236825, 236812, 236778, 236832, 236800, 236812, 236810, 236761, 564, 1461, 531, 9128, 1061, 37031, 607, 1041, 1873, 13290, 532, 3363, 625, 236789, 236751, 528, 2862, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 1201, 1083, 623, 15354, 3178, 122083, 43353, 15425, 18272, 40309, 827, 623, 19995, 1083, 623, 15354, 3178, 827, 623, 4368, 1083, 623, 7427, 1425, 1618, 15462, 228373, 827, 623, 9707, 1083, 236743, 236770, 236819, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 6457, 236779, 56905, 1083, 78493, 6457, 236779, 547, 1083, 623, 236819, 236832, 236812, 827, 623, 13319, 1083, 623, 107305, 827, 623, 3255, 1083, 623, 52468, 827, 623, 14973, 236779, 4818, 1083, 623, 902, 13827, 827, 623, 14973, 236779, 5909, 1083, 236743, 236810, 200808, 623, 5690, 8112, 1083, 3714, 20156, 236779, 22715, 1083, 3714, 10205, 236779, 1734, 10902, 1083, 236743, 236770, 236764, 623, 58644, 236779, 22715, 1083, 236743, 236770, 236764, 623, 1257, 236779, 22715, 1083, 236743, 236771, 1263, 623, 20156, 236779, 52256, 1083, 3714, 2834, 5275, 236779, 52256, 1083, 236743, 236770, 236764, 623, 1257, 236779, 52256, 1083, 236743, 236778, 1263, 623, 138097, 1083, 11058, 45439, 236772, 236780, 827, 623, 187627, 564, 236786, 236806, 14255, 623, 13271, 236779, 4720, 1083, 623, 236770, 236819, 236778, 89374, 827, 623, 3896, 236779, 15104, 1083, 623, 236778, 236812, 236772, 3896, 23179, 623, 63265, 1083, 3714, 2690, 1083, 623, 236832, 236761, 236770, 12371, 827, 623, 4603, 1083, 623, 236778, 236761, 236800, 12371, 827, 623, 15104, 1083, 623, 236812, 236761, 236832, 12371, 827, 623, 6078, 1083, 623, 236770, 236761, 236812, 16931, 23179, 623, 151972, 3444, 236779, 17943, 1083, 3714, 5930, 236779, 4000, 1083, 623, 2574, 1411, 2769, 236761, 9783, 20786, 236761, 854, 236786, 8777, 236786, 11757, 3178, 236772, 23121, 18521, 236772, 92810, 236772, 116972, 236772, 20156, 236772, 18613, 236786, 236825, 236812, 236778, 236832, 236800, 236812, 236810, 236761, 236758, 827, 623, 1282, 236779, 1071, 236779, 14307, 1083, 623, 2574, 1411, 2769, 236761, 9783, 20786, 236761, 854, 236786, 14307, 236786, 57217, 236786, 236825, 236812, 236778, 236832, 236800, 236812, 236810, 23179, 623, 102229, 1083, 3714, 585, 236779, 9442, 1083, 11058, 5189, 236743, 236770, 236771, 135527, 623, 12919, 3354, 236743, 236770, 236771, 236761, 236770, 236800, 236862, 14255, 623, 50581, 236779, 109982, 1083, 11058, 153003, 1108, 15097, 59050, 827, 623, 15354, 3178, 9463, 15435, 1935, 1807, 106, 107, 105, 4368, 107, 818, 30235, 3178, 122083, 43353, 15425, 18272, 40309, 568, 21775, 236836, 236787, 236743, 236825, 236812, 236778, 236832, 236800, 236812, 236810, 236768, 563, 5213, 495, 2862, 1018, 657, 8890, 17151, 568, 107305, 236764, 27608, 4762, 236768, 532, 31979, 657, 609, 236770, 236819, 236819, 236761, 236819, 236819, 236761, 5715, 236789, 236751, 1144, 611, 1202, 531, 1281, 573, 37031, 607, 822, 83470, 13564, 10884, 236787, 108, 10354, 9533, 25772, 236787, 107, 236772, 5213, 71761, 66515, 236743, 236770, 12682, 218023, 568, 63914, 573, 520, 16144, 822, 83470, 236768, 532, 236743, 236770, 10015, 2744, 568, 1708, 1982, 5603, 529, 5898, 17747, 769, 107, 236772, 5213, 166233, 66515, 236743, 236778, 1757, 26054, 532, 236743, 236770, 107727, 3938, 573, 11734, 236761, 107, 236772, 5213, 144023, 66515, 15425, 236772, 236780, 532, 95377, 564, 236786, 236806, 568, 35203, 822, 5194, 815, 496, 15425, 236772, 236780, 2411, 653, 18944, 25537, 769, 107, 236772, 5213, 49276, 66515, 49308, 78591, 1108, 15097, 59050, 532, 30235, 3178, 9463, 5368, 573, 13564, 532, 18531, 236761, 107, 236772, 5213, 107405, 66515, 20016, 607, 7993, 236743, 236770, 236771, 236862, 653, 79325, 236743, 236770, 236771, 236761, 236770, 236800, 53621, 108, 10354, 67831, 236787, 107, 236772, 5213, 19469, 25870, 66515, 236743, 236770, 236819, 236778, 89374, 965, 5213, 11657, 69934, 66515, 236743, 236778, 236812, 236772, 3896, 568, 45134, 236772, 9619, 9855, 3325, 769, 107, 236772, 5213, 8999, 2109, 66515, 57725, 1702, 568, 236832, 236761, 236770, 236775, 1123, 236743, 236778, 236761, 236800, 236775, 1123, 236743, 236812, 236761, 236832, 827, 236743, 236770, 236761, 236812, 16931, 769, 108, 10354, 12067, 50228, 236787, 107, 236770, 236761, 66636, 822, 5194, 20239, 506, 16080, 532, 2411, 6035, 568, 45439, 236772, 236780, 769, 107, 236778, 236761, 1637, 1699, 496, 38742, 573, 506, 83470, 236764, 5330, 611, 735, 614, 218017, 13170, 532, 18944, 12682, 568, 2217, 5012, 769, 107, 236800, 236761, 4140, 531, 6343, 4323, 506, 870, 5930, 3104, 5457, 2574, 1411, 2769, 236761, 9783, 20786, 236761, 854, 236786, 8777, 236786, 11757, 3178, 236772, 23121, 18521, 236772, 92810, 236772, 116972, 236772, 20156, 236772, 18613, 236786, 236825, 236812, 236778, 236832, 236800, 236812, 236810, 236761, 236758, 236768, 768, 18944, 236761, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 65977, 236888, 236743, 251075, 239794, 106, 107, 105, 2364, 107, 236777, 1202, 531, 16807, 768, 1041, 1873, 12836, 568, 5189, 236743, 236770, 236770, 236764, 15425, 236772, 236780, 2411, 236768, 563, 18944, 607, 672, 7937, 236761, 6542, 236764, 776, 564, 1202, 1027, 4767, 30107, 653, 18684, 531, 3371, 1041, 83470, 38742, 568, 236777, 735, 496, 1705, 694, 15233, 236810, 236828, 10795, 12682, 236768, 531, 672, 7937, 236881, 21284, 672, 10884, 2174, 786, 531, 3423, 1494, 236772, 15276, 9855, 9273, 573, 8582, 13526, 236881, 106, 107, 105, 4368, 107, 11069, 10884, 1374, 981, 58912, 607, 506, 30235, 3178, 122083, 43353, 236761, 5715, 236789, 236751, 496, 9813, 25890, 236787, 108, 10354, 236743, 236770, 236761, 5213, 144919, 151162, 1018, 138, 107, 139, 236772, 5213, 5189, 236743, 236770, 236770, 12730, 66515, 13810, 8593, 236761, 669, 7937, 4146, 607, 7993, 236743, 236770, 236771, 36149, 532, 7993, 236743, 236770, 236770, 563, 6340, 18944, 236761, 138, 107, 139, 236772, 5213, 45439, 236772, 236780, 27618, 66515, 5180, 12836, 236858, 236751, 15425, 236772, 236780, 2411, 795, 981, 5467, 607, 506, 7937, 236858, 236751, 15425, 236772, 236780, 13170, 568, 109982, 769, 2301, 99653, 4354, 236761, 138, 108, 10354, 236743, 236778, 236761, 5213, 101068, 506, 1705, 694, 15233, 236810, 236828, 16482, 1018, 138, 107, 139, 236772, 5213, 236780, 2639, 114314, 66515, 138, 107, 141, 236772, 669, 15233, 236810, 236828, 6178, 614, 5213, 236917, 27349, 34963, 125546, 834, 611, 236858, 859, 1202, 614, 5213, 236917, 27349, 8937, 236772, 1071, 236772, 38667, 13170, 1018, 531, 3371, 625, 531, 506, 7937, 236858, 236751, 12682, 218023, 2744, 568, 1437, 7937, 4728, 91608, 2066, 573, 10795, 208465, 1133, 506, 15233, 236810, 236828, 769, 138, 107, 141, 236772, 808, 10282, 63508, 669, 7937, 1677, 5213, 2217, 1018, 3204, 614, 218017, 13170, 236764, 834, 611, 236858, 859, 1202, 531, 7408, 886, 21112, 568, 236744, 236761, 236759, 1126, 496, 4077, 218017, 13170, 1133, 506, 870, 236814, 6862, 218017, 236772, 236770, 236810, 5457, 2574, 1411, 8358, 236761, 854, 11287, 138, 107, 139, 236772, 5213, 210024, 66515, 138, 107, 141, 236772, 562, 12682, 1975, 653, 31111, 3774, 568, 584, 611, 1537, 236858, 236745, 3016, 735, 886, 769, 138, 107, 141, 236772, 562, 2198, 5957, 568, 31162, 840, 10325, 573, 13471, 729, 585, 2031, 528, 28857, 40626, 769, 138, 108, 10354, 236743, 236800, 236761, 5213, 23994, 19779, 573, 8582, 128608, 1018, 138, 107, 139, 236772, 5213, 42776, 236772, 44184, 187779, 66515, 138, 107, 141, 236772, 669, 7937, 12765, 5213, 236778, 236812, 236772, 3896, 236786, 236770, 236819, 236778, 70045, 1018, 9314, 236764, 837, 32839, 8582, 236858, 236751, 10325, 9855, 8443, 568, 236770, 236825, 236772, 3896, 236786, 236812, 236812, 236761, 236770, 70045, 653, 236743, 236812, 236828, 70045, 769, 138, 107, 141, 236772, 669, 122083, 43353, 236858, 236751, 218023, 795, 12203, 822, 83470, 236858, 236751, 16182, 8207, 236764, 4285, 607, 506, 15233, 236810, 236828, 236858, 236751, 6962, 236764, 20433, 15737, 236761, 138, 107, 139, 236772, 5213, 60237, 573, 4819, 236772, 40213, 219450, 66515, 138, 107, 141, 236772, 6890, 506, 5012, 5213, 153003, 1108, 15097, 59050, 1018, 653, 2196, 21119, 81578, 1133, 870, 40282, 4489, 5457, 2574, 1411, 2769, 236761, 16718, 4489, 14992, 236761, 2187, 31004, 531, 3423, 532, 12287, 236761, 138, 107, 141, 236772, 41152, 822, 13564, 2557, 563, 96604, 1805, 9050, 568, 236744, 236761, 236759, 1126, 25483, 19509, 236764, 92498, 236768, 531, 5571, 9263, 236786, 500, 21130, 4342, 236761, 138, 107, 141, 236772, 26295, 822, 3736, 1699, 33640, 6638, 531, 506, 7937, 236858, 236751, 107727, 3938, 531, 5001, 84561, 1131, 506, 12682, 236761, 138, 108, 10354, 16187, 82811, 236787, 138, 107, 139, 236772, 870, 4422, 218017, 13170, 568, 13215, 236810, 236828, 531, 7937, 769, 138, 107, 139, 236772, 870, 4422, 16482, 1975, 236786, 155896, 568, 584, 4354, 769, 138, 107, 139, 236772, 870, 4422, 78646, 5368, 568, 7172, 236824, 236768, 10142, 236761, 138, 107, 139, 236772, 870, 4422, 5803, 4535, 528, 506, 30235, 3178, 9463, 5368, 1680, 13564, 236761, 138, 108, 2094, 10884, 795, 11087, 5518, 5707, 236772, 15276, 9855, 573, 8582, 236888, 3792, 786, 1281, 768, 611, 1202, 1601, 73476, 506, 218017, 13170, 653, 61232, 822, 13564, 7846, 236761, 236743, 251075, 244862, 106, 107, 105, 2364, 107, 8574, 611, 2426, 4889, 573, 506, 640, 6862, 218017, 236772, 236770, 236810, 13170, 1699, 162355, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236881, 564, 1461, 531, 9128, 1061, 3385, 532, 15830, 573, 18024, 1041, 15233, 236810, 236828, 12682, 531, 506, 9855, 7937, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19995, 1083, 623, 236814, 6862, 827, 623, 4368, 1083, 623, 236917, 27349, 236772, 236770, 236810, 827, 623, 9707, 1083, 6610, 236770, 236810, 236761, 236819, 236819, 827, 623, 56905, 1083, 3714, 4818, 1083, 623, 902, 13827, 827, 623, 14973, 236779, 5909, 1083, 236743, 236812, 236778, 236764, 623, 6457, 236779, 56905, 1083, 1847, 236764, 623, 23557, 236779, 56905, 1083, 1847, 1263, 623, 79205, 236779, 5690, 8112, 1083, 3714, 137341, 236779, 2084, 1083, 623, 236917, 27349, 36566, 531, 218017, 38561, 827, 623, 3119, 1083, 623, 236770, 236810, 6172, 827, 623, 39920, 522, 1083, 623, 170701, 236772, 15370, 48906, 568, 236806, 11962, 236768, 19999, 827, 623, 34417, 236779, 211550, 1083, 623, 221202, 236772, 133957, 28575, 23179, 623, 5930, 236779, 63265, 1083, 3714, 95249, 1083, 623, 236771, 236761, 236778, 236810, 12371, 827, 623, 6078, 1083, 623, 236771, 236761, 236812, 16931, 23179, 623, 151972, 3444, 236779, 2883, 1083, 623, 2574, 1411, 9783, 20786, 236761, 854, 236786, 5930, 236786, 236754, 6862, 236772, 18765, 236750, 236772, 236770, 236810, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 16518, 1083, 11058, 107332, 17740, 9855, 13170, 827, 623, 116153, 573, 115929, 532, 9855, 33066, 827, 623, 236796, 28520, 67150, 16621, 14255, 623, 177129, 1083, 3714, 21028, 1083, 623, 236770, 236772, 3704, 14202, 24227, 23179, 623, 155896, 236779, 109982, 1083, 11058, 32602, 7111, 13170, 14806, 99471, 106, 107, 105, 4368, 107, 818, 5213, 236814, 6862, 218017, 236772, 236770, 236810, 1018, 218017, 13170, 568, 21775, 236836, 236787, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236768, 563, 5213, 495, 2862, 1018, 657, 8890, 17151, 532, 31979, 657, 5213, 236795, 236770, 236810, 236761, 236819, 236819, 84750, 5715, 236789, 236751, 1217, 625, 19009, 822, 10884, 236787, 108, 10354, 9533, 20303, 236787, 107, 236772, 5213, 135660, 9250, 66515, 218017, 36566, 531, 218017, 38561, 568, 50936, 573, 18024, 822, 1705, 694, 15233, 236810, 236828, 12682, 531, 506, 30235, 3178, 122083, 43353, 7937, 769, 107, 236772, 5213, 8615, 66515, 236743, 236770, 236810, 6172, 568, 146888, 33503, 5370, 573, 1346, 2033, 11452, 108124, 769, 107, 236772, 5213, 50953, 66515, 236743, 107, 138, 236772, 67147, 236772, 15370, 48906, 568, 236806, 11962, 236768, 71323, 573, 3582, 6953, 12268, 236761, 107, 138, 236772, 79380, 236772, 133957, 28575, 63984, 568, 236753, 28520, 532, 30119, 236772, 36954, 769, 107, 138, 236772, 16390, 2410, 16621, 573, 39601, 532, 184892, 8047, 236761, 107, 236772, 5213, 51164, 66515, 799, 2862, 3489, 532, 657, 11936, 568, 236812, 236778, 6630, 2487, 769, 108, 10354, 8922, 1030, 20016, 573, 1599, 236787, 107, 236772, 5213, 107405, 66515, 181141, 32407, 822, 15233, 236810, 236828, 12682, 531, 506, 122083, 43353, 236858, 236751, 218017, 2744, 236761, 107, 236772, 5213, 23994, 19779, 66515, 210979, 506, 122083, 43353, 236858, 236751, 11452, 236772, 9619, 236743, 236778, 236812, 236772, 3896, 236786, 236770, 236819, 236778, 70045, 9314, 236761, 107, 236772, 5213, 210024, 66515, 49308, 496, 204291, 13170, 14806, 573, 3735, 13170, 3997, 236761, 108, 10354, 152945, 236787, 107, 236772, 870, 1018, 3218, 531, 17414, 1018, 5457, 2574, 1411, 9783, 20786, 236761, 854, 236786, 5930, 236786, 236754, 6862, 236772, 18765, 236750, 236772, 236770, 236810, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236768, 5467, 699, 8890, 17151, 236858, 236751, 3432, 236761, 108, 2094, 13170, 563, 614, 7516, 5313, 573, 822, 10884, 236888, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 4658, 1663, 236761, 236743, 247976, 238178, 247583, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 19260, 1041, 2033, 11452, 10884, 573, 13564, 83470, 13526, 236761, 3199, 611, 1601, 786, 2426, 4889, 573, 672, 9855, 7937, 580, 8890, 17151, 236881, 669, 162355, 563, 236743, 236825, 236812, 236778, 236832, 236800, 236812, 236810, 236761, 564, 1461, 531, 9128, 1061, 37031, 607, 1041, 1873, 13290, 532, 3363, 625, 236789, 236751, 528, 2862, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 1201, 1083, 623, 15354, 3178, 122083, 43353, 15425, 18272, 40309, 827, 623, 19995, 1083, 623, 15354, 3178, 827, 623, 4368, 1083, 623, 7427, 1425, 1618, 15462, 228373, 827, 623, 9707, 1083, 236743, 236770, 236819, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 6457, 236779, 56905, 1083, 78493, 6457, 236779, 547, 1083, 623, 236819, 236832, 236812, 827, 623, 13319, 1083, 623, 107305, 827, 623, 3255, 1083, 623, 52468, 827, 623, 14973, 236779, 4818, 1083, 623, 902, 13827, 827, 623, 14973, 236779, 5909, 1083, 236743, 236810, 200808, 623, 5690, 8112, 1083, 3714, 20156, 236779, 22715, 1083, 3714, 10205, 236779, 1734, 10902, 1083, 236743, 236770, 236764, 623, 58644, 236779, 22715, 1083, 236743, 236770, 236764, 623, 1257, 236779, 22715, 1083, 236743, 236771, 1263, 623, 20156, 236779, 52256, 1083, 3714, 2834, 5275, 236779, 52256, 1083, 236743, 236770, 236764, 623, 1257, 236779, 52256, 1083, 236743, 236778, 1263, 623, 138097, 1083, 11058, 45439, 236772, 236780, 827, 623, 187627, 564, 236786, 236806, 14255, 623, 13271, 236779, 4720, 1083, 623, 236770, 236819, 236778, 89374, 827, 623, 3896, 236779, 15104, 1083, 623, 236778, 236812, 236772, 3896, 23179, 623, 63265, 1083, 3714, 2690, 1083, 623, 236832, 236761, 236770, 12371, 827, 623, 4603, 1083, 623, 236778, 236761, 236800, 12371, 827, 623, 15104, 1083, 623, 236812, 236761, 236832, 12371, 827, 623, 6078, 1083, 623, 236770, 236761, 236812, 16931, 23179, 623, 151972, 3444, 236779, 17943, 1083, 3714, 5930, 236779, 4000, 1083, 623, 2574, 1411, 2769, 236761, 9783, 20786, 236761, 854, 236786, 8777, 236786, 11757, 3178, 236772, 23121, 18521, 236772, 92810, 236772, 116972, 236772, 20156, 236772, 18613, 236786, 236825, 236812, 236778, 236832, 236800, 236812, 236810, 236761, 236758, 827, 623, 1282, 236779, 1071, 236779, 14307, 1083, 623, 2574, 1411, 2769, 236761, 9783, 20786, 236761, 854, 236786, 14307, 236786, 57217, 236786, 236825, 236812, 236778, 236832, 236800, 236812, 236810, 23179, 623, 102229, 1083, 3714, 585, 236779, 9442, 1083, 11058, 5189, 236743, 236770, 236771, 135527, 623, 12919, 3354, 236743, 236770, 236771, 236761, 236770, 236800, 236862, 14255, 623, 50581, 236779, 109982, 1083, 11058, 153003, 1108, 15097, 59050, 827, 623, 15354, 3178, 9463, 15435, 1935, 1807, 106, 107, 105, 4368, 107, 818, 30235, 3178, 122083, 43353, 15425, 18272, 40309, 568, 21775, 236836, 236787, 236743, 236825, 236812, 236778, 236832, 236800, 236812, 236810, 236768, 563, 5213, 495, 2862, 1018, 657, 8890, 17151, 568, 107305, 236764, 27608, 4762, 236768, 532, 31979, 657, 609, 236770, 236819, 236819, 236761, 236819, 236819, 236761, 5715, 236789, 236751, 1144, 611, 1202, 531, 1281, 573, 37031, 607, 822, 83470, 13564, 10884, 236787, 108, 10354, 9533, 25772, 236787, 107, 236772, 5213, 71761, 66515, 236743, 236770, 12682, 218023, 568, 63914, 573, 520, 16144, 822, 83470, 236768, 532, 236743, 236770, 10015, 2744, 568, 1708, 1982, 5603, 529, 5898, 17747, 769, 107, 236772, 5213, 166233, 66515, 236743, 236778, 1757, 26054, 532, 236743, 236770, 107727, 3938, 573, 11734, 236761, 107, 236772, 5213, 144023, 66515, 15425, 236772, 236780, 532, 95377, 564, 236786, 236806, 568, 35203, 822, 5194, 815, 496, 15425, 236772, 236780, 2411, 653, 18944, 25537, 769, 107, 236772, 5213, 49276, 66515, 49308, 78591, 1108, 15097, 59050, 532, 30235, 3178, 9463, 5368, 573, 13564, 532, 18531, 236761, 107, 236772, 5213, 107405, 66515, 20016, 607, 7993, 236743, 236770, 236771, 236862, 653, 79325, 236743, 236770, 236771, 236761, 236770, 236800, 53621, 108, 10354, 67831, 236787, 107, 236772, 5213, 19469, 25870, 66515, 236743, 236770, 236819, 236778, 89374, 965, 5213, 11657, 69934, 66515, 236743, 236778, 236812, 236772, 3896, 568, 45134, 236772, 9619, 9855, 3325, 769, 107, 236772, 5213, 8999, 2109, 66515, 57725, 1702, 568, 236832, 236761, 236770, 236775, 1123, 236743, 236778, 236761, 236800, 236775, 1123, 236743, 236812, 236761, 236832, 827, 236743, 236770, 236761, 236812, 16931, 769, 108, 10354, 12067, 50228, 236787, 107, 236770, 236761, 66636, 822, 5194, 20239, 506, 16080, 532, 2411, 6035, 568, 45439, 236772, 236780, 769, 107, 236778, 236761, 1637, 1699, 496, 38742, 573, 506, 83470, 236764, 5330, 611, 735, 614, 218017, 13170, 532, 18944, 12682, 568, 2217, 5012, 769, 107, 236800, 236761, 4140, 531, 6343, 4323, 506, 870, 5930, 3104, 5457, 2574, 1411, 2769, 236761, 9783, 20786, 236761, 854, 236786, 8777, 236786, 11757, 3178, 236772, 23121, 18521, 236772, 92810, 236772, 116972, 236772, 20156, 236772, 18613, 236786, 236825, 236812, 236778, 236832, 236800, 236812, 236810, 236761, 236758, 236768, 768, 18944, 236761, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 65977, 236888, 236743, 251075, 239794, 106, 107, 105, 2364, 107, 236777, 1202, 531, 16807, 768, 1041, 1873, 12836, 568, 5189, 236743, 236770, 236770, 236764, 15425, 236772, 236780, 2411, 236768, 563, 18944, 607, 672, 7937, 236761, 6542, 236764, 776, 564, 1202, 1027, 4767, 30107, 653, 18684, 531, 3371, 1041, 83470, 38742, 568, 236777, 735, 496, 1705, 694, 15233, 236810, 236828, 10795, 12682, 236768, 531, 672, 7937, 236881, 21284, 672, 10884, 2174, 786, 531, 3423, 1494, 236772, 15276, 9855, 9273, 573, 8582, 13526, 236881, 106, 107, 105, 4368, 107, 11069, 10884, 1374, 981, 58912, 607, 506, 30235, 3178, 122083, 43353, 236761, 5715, 236789, 236751, 496, 9813, 25890, 236787, 108, 10354, 236743, 236770, 236761, 5213, 144919, 151162, 1018, 138, 107, 139, 236772, 5213, 5189, 236743, 236770, 236770, 12730, 66515, 13810, 8593, 236761, 669, 7937, 4146, 607, 7993, 236743, 236770, 236771, 36149, 532, 7993, 236743, 236770, 236770, 563, 6340, 18944, 236761, 138, 107, 139, 236772, 5213, 45439, 236772, 236780, 27618, 66515, 5180, 12836, 236858, 236751, 15425, 236772, 236780, 2411, 795, 981, 5467, 607, 506, 7937, 236858, 236751, 15425, 236772, 236780, 13170, 568, 109982, 769, 2301, 99653, 4354, 236761, 138, 108, 10354, 236743, 236778, 236761, 5213, 101068, 506, 1705, 694, 15233, 236810, 236828, 16482, 1018, 138, 107, 139, 236772, 5213, 236780, 2639, 114314, 66515, 138, 107, 141, 236772, 669, 15233, 236810, 236828, 6178, 614, 5213, 236917, 27349, 34963, 125546, 834, 611, 236858, 859, 1202, 614, 5213, 236917, 27349, 8937, 236772, 1071, 236772, 38667, 13170, 1018, 531, 3371, 625, 531, 506, 7937, 236858, 236751, 12682, 218023, 2744, 568, 1437, 7937, 4728, 91608, 2066, 573, 10795, 208465, 1133, 506, 15233, 236810, 236828, 769, 138, 107, 141, 236772, 808, 10282, 63508, 669, 7937, 1677, 5213, 2217, 1018, 3204, 614, 218017, 13170, 236764, 834, 611, 236858, 859, 1202, 531, 7408, 886, 21112, 568, 236744, 236761, 236759, 1126, 496, 4077, 218017, 13170, 1133, 506, 870, 236814, 6862, 218017, 236772, 236770, 236810, 5457, 2574, 1411, 8358, 236761, 854, 11287, 138, 107, 139, 236772, 5213, 210024, 66515, 138, 107, 141, 236772, 562, 12682, 1975, 653, 31111, 3774, 568, 584, 611, 1537, 236858, 236745, 3016, 735, 886, 769, 138, 107, 141, 236772, 562, 2198, 5957, 568, 31162, 840, 10325, 573, 13471, 729, 585, 2031, 528, 28857, 40626, 769, 138, 108, 10354, 236743, 236800, 236761, 5213, 23994, 19779, 573, 8582, 128608, 1018, 138, 107, 139, 236772, 5213, 42776, 236772, 44184, 187779, 66515, 138, 107, 141, 236772, 669, 7937, 12765, 5213, 236778, 236812, 236772, 3896, 236786, 236770, 236819, 236778, 70045, 1018, 9314, 236764, 837, 32839, 8582, 236858, 236751, 10325, 9855, 8443, 568, 236770, 236825, 236772, 3896, 236786, 236812, 236812, 236761, 236770, 70045, 653, 236743, 236812, 236828, 70045, 769, 138, 107, 141, 236772, 669, 122083, 43353, 236858, 236751, 218023, 795, 12203, 822, 83470, 236858, 236751, 16182, 8207, 236764, 4285, 607, 506, 15233, 236810, 236828, 236858, 236751, 6962, 236764, 20433, 15737, 236761, 138, 107, 139, 236772, 5213, 60237, 573, 4819, 236772, 40213, 219450, 66515, 138, 107, 141, 236772, 6890, 506, 5012, 5213, 153003, 1108, 15097, 59050, 1018, 653, 2196, 21119, 81578, 1133, 870, 40282, 4489, 5457, 2574, 1411, 2769, 236761, 16718, 4489, 14992, 236761, 2187, 31004, 531, 3423, 532, 12287, 236761, 138, 107, 141, 236772, 41152, 822, 13564, 2557, 563, 96604, 1805, 9050, 568, 236744, 236761, 236759, 1126, 25483, 19509, 236764, 92498, 236768, 531, 5571, 9263, 236786, 500, 21130, 4342, 236761, 138, 107, 141, 236772, 26295, 822, 3736, 1699, 33640, 6638, 531, 506, 7937, 236858, 236751, 107727, 3938, 531, 5001, 84561, 1131, 506, 12682, 236761, 138, 108, 10354, 16187, 82811, 236787, 138, 107, 139, 236772, 870, 4422, 218017, 13170, 568, 13215, 236810, 236828, 531, 7937, 769, 138, 107, 139, 236772, 870, 4422, 16482, 1975, 236786, 155896, 568, 584, 4354, 769, 138, 107, 139, 236772, 870, 4422, 78646, 5368, 568, 7172, 236824, 236768, 10142, 236761, 138, 107, 139, 236772, 870, 4422, 5803, 4535, 528, 506, 30235, 3178, 9463, 5368, 1680, 13564, 236761, 138, 108, 2094, 10884, 795, 11087, 5518, 5707, 236772, 15276, 9855, 573, 8582, 236888, 3792, 786, 1281, 768, 611, 1202, 1601, 73476, 506, 218017, 13170, 653, 61232, 822, 13564, 7846, 236761, 236743, 251075, 244862, 106, 107, 105, 2364, 107, 8574, 611, 2426, 4889, 573, 506, 640, 6862, 218017, 236772, 236770, 236810, 13170, 1699, 162355, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236881, 564, 1461, 531, 9128, 1061, 3385, 532, 15830, 573, 18024, 1041, 15233, 236810, 236828, 12682, 531, 506, 9855, 7937, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19995, 1083, 623, 236814, 6862, 827, 623, 4368, 1083, 623, 236917, 27349, 236772, 236770, 236810, 827, 623, 9707, 1083, 6610, 236770, 236810, 236761, 236819, 236819, 827, 623, 56905, 1083, 3714, 4818, 1083, 623, 902, 13827, 827, 623, 14973, 236779, 5909, 1083, 236743, 236812, 236778, 236764, 623, 6457, 236779, 56905, 1083, 1847, 236764, 623, 23557, 236779, 56905, 1083, 1847, 1263, 623, 79205, 236779, 5690, 8112, 1083, 3714, 137341, 236779, 2084, 1083, 623, 236917, 27349, 36566, 531, 218017, 38561, 827, 623, 3119, 1083, 623, 236770, 236810, 6172, 827, 623, 39920, 522, 1083, 623, 170701, 236772, 15370, 48906, 568, 236806, 11962, 236768, 19999, 827, 623, 34417, 236779, 211550, 1083, 623, 221202, 236772, 133957, 28575, 23179, 623, 5930, 236779, 63265, 1083, 3714, 95249, 1083, 623, 236771, 236761, 236778, 236810, 12371, 827, 623, 6078, 1083, 623, 236771, 236761, 236812, 16931, 23179, 623, 151972, 3444, 236779, 2883, 1083, 623, 2574, 1411, 9783, 20786, 236761, 854, 236786, 5930, 236786, 236754, 6862, 236772, 18765, 236750, 236772, 236770, 236810, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 16518, 1083, 11058, 107332, 17740, 9855, 13170, 827, 623, 116153, 573, 115929, 532, 9855, 33066, 827, 623, 236796, 28520, 67150, 16621, 14255, 623, 177129, 1083, 3714, 21028, 1083, 623, 236770, 236772, 3704, 14202, 24227, 23179, 623, 155896, 236779, 109982, 1083, 11058, 32602, 7111, 13170, 14806, 99471, 106, 107, 105, 4368, 107, 818, 5213, 236814, 6862, 218017, 236772, 236770, 236810, 1018, 218017, 13170, 568, 21775, 236836, 236787, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236768, 563, 5213, 495, 2862, 1018, 657, 8890, 17151, 532, 31979, 657, 5213, 236795, 236770, 236810, 236761, 236819, 236819, 84750, 5715, 236789, 236751, 1217, 625, 19009, 822, 10884, 236787, 108, 10354, 9533, 20303, 236787, 107, 236772, 5213, 135660, 9250, 66515, 218017, 36566, 531, 218017, 38561, 568, 50936, 573, 18024, 822, 1705, 694, 15233, 236810, 236828, 12682, 531, 506, 30235, 3178, 122083, 43353, 7937, 769, 107, 236772, 5213, 8615, 66515, 236743, 236770, 236810, 6172, 568, 146888, 33503, 5370, 573, 1346, 2033, 11452, 108124, 769, 107, 236772, 5213, 50953, 66515, 236743, 107, 138, 236772, 67147, 236772, 15370, 48906, 568, 236806, 11962, 236768, 71323, 573, 3582, 6953, 12268, 236761, 107, 138, 236772, 79380, 236772, 133957, 28575, 63984, 568, 236753, 28520, 532, 30119, 236772, 36954, 769, 107, 138, 236772, 16390, 2410, 16621, 573, 39601, 532, 184892, 8047, 236761, 107, 236772, 5213, 51164, 66515, 799, 2862, 3489, 532, 657, 11936, 568, 236812, 236778, 6630, 2487, 769, 108, 10354, 8922, 1030, 20016, 573, 1599, 236787, 107, 236772, 5213, 107405, 66515, 181141, 32407, 822, 15233, 236810, 236828, 12682, 531, 506, 122083, 43353, 236858, 236751, 218017, 2744, 236761, 107, 236772, 5213, 23994, 19779, 66515, 210979, 506, 122083, 43353, 236858, 236751, 11452, 236772, 9619, 236743, 236778, 236812, 236772, 3896, 236786, 236770, 236819, 236778, 70045, 9314, 236761, 107, 236772, 5213, 210024, 66515, 49308, 496, 204291, 13170, 14806, 573, 3735, 13170, 3997, 236761, 108, 10354, 152945, 236787, 107, 236772, 870, 1018, 3218, 531, 17414, 1018, 5457, 2574, 1411, 9783, 20786, 236761, 854, 236786, 5930, 236786, 236754, 6862, 236772, 18765, 236750, 236772, 236770, 236810, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236768, 5467, 699, 8890, 17151, 236858, 236751, 3432, 236761, 108, 2094, 13170, 563, 614, 7516, 5313, 573, 822, 10884, 236888, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 4658, 1663, 236761, 236743, 247976, 238178, 247583, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30764, 12657, 699, 506, 1051, 236743, 236778, 236771, 236770, 236771, 532, 992, 3442, 786, 1003, 506, 26979, 607, 5853, 236743, 236819, 236819, 236819, 236819, 236819, 236761, 106, 107, 105, 4368, 107, 818, 2487, 6436, 3847, 659, 5402, 531, 12270, 13154, 684, 496, 6171, 4374, 236789, 236751, 1463, 1699, 506, 2165, 828, 236779, 44169, 236779, 2003, 236779, 3973, 236779, 1201, 236929, 1292, 236761, 3153, 236764, 822, 7609, 1003, 5213, 52231, 699, 236743, 236778, 236771, 236770, 236771, 1018, 532, 5213, 87884, 607, 5853, 236743, 236819, 236819, 236819, 236819, 236819, 1018, 3914, 577, 17024, 607, 506, 1873, 6436, 236764, 618, 993, 659, 951, 5151, 2487, 531, 33205, 12657, 684, 1051, 653, 26979, 4889, 684, 5853, 236761, 236743, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 10686, 607, 6171, 236772, 10619, 6387, 34369, 5205, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30764, 12657, 699, 506, 1051, 236743, 236778, 236771, 236770, 236771, 532, 992, 3442, 786, 1003, 506, 26979, 607, 5853, 236743, 236819, 236819, 236819, 236819, 236819, 236761, 106, 107, 105, 4368, 107, 818, 2487, 6436, 3847, 659, 5402, 531, 12270, 13154, 684, 496, 6171, 4374, 236789, 236751, 1463, 1699, 506, 2165, 828, 236779, 44169, 236779, 2003, 236779, 3973, 236779, 1201, 236929, 1292, 236761, 3153, 236764, 822, 7609, 1003, 5213, 52231, 699, 236743, 236778, 236771, 236770, 236771, 1018, 532, 5213, 87884, 607, 5853, 236743, 236819, 236819, 236819, 236819, 236819, 1018, 3914, 577, 17024, 607, 506, 1873, 6436, 236764, 618, 993, 659, 951, 5151, 2487, 531, 33205, 12657, 684, 1051, 653, 26979, 4889, 684, 5853, 236761, 236743, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 10686, 607, 6171, 236772, 10619, 6387, 34369, 5205, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 114394, 236787, 564, 236789, 236757, 6514, 872, 496, 2263, 23092, 11734, 1458, 573, 496, 16672, 2203, 564, 236789, 236757, 64451, 236761, 28344, 611, 33205, 506, 3739, 9831, 6137, 531, 2426, 768, 506, 1873, 7846, 1894, 12434, 607, 8646, 34438, 1133, 506, 26726, 122957, 7879, 9299, 236881, 564, 6950, 672, 17358, 1913, 1023, 1774, 12309, 1003, 1262, 3997, 6436, 573, 11363, 5557, 16074, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3762, 236779, 2084, 1083, 623, 3677, 236779, 12291, 827, 623, 4406, 1083, 236743, 236770, 236828, 236761, 236770, 236764, 623, 3677, 236779, 200232, 1083, 3714, 3940, 1591, 236779, 163914, 2565, 1083, 623, 2574, 1411, 3677, 236761, 4565, 9524, 236761, 2187, 236786, 236766, 236778, 236786, 38903, 827, 623, 9343, 236779, 2451, 1083, 623, 2574, 1411, 9343, 236761, 4565, 9524, 236761, 2187, 236786, 54903, 236778, 236786, 1114, 827, 623, 30447, 236779, 27297, 1083, 236743, 236800, 236771, 1263, 623, 49701, 236779, 12291, 1083, 3714, 5939, 1083, 623, 3723, 236772, 671, 827, 623, 2074, 236779, 64660, 1083, 236743, 236810, 236764, 623, 56653, 236779, 132101, 1083, 236743, 236800, 1263, 623, 4818, 1083, 623, 5034, 25938, 106, 107, 105, 4368, 107, 818, 3739, 9831, 44898, 5158, 12434, 607, 506, 26726, 122957, 7879, 9299, 1343, 1239, 2307, 6137, 236787, 108, 236772, 5213, 10252, 107890, 66515, 2165, 2574, 1411, 3677, 236761, 4565, 9524, 236761, 2187, 236786, 236766, 236778, 236786, 38903, 236929, 568, 43925, 10434, 236772, 19749, 6518, 236768, 107, 236772, 5213, 38783, 66515, 30121, 236772, 5140, 77582, 236778, 4323, 2165, 2574, 1411, 9343, 236761, 4565, 9524, 236761, 2187, 236786, 54903, 236778, 236786, 1114, 236929, 107, 236772, 5213, 10745, 24961, 66515, 107, 138, 236772, 236743, 236800, 236771, 236772, 8556, 27791, 107, 138, 236772, 38084, 236743, 236810, 34818, 13792, 107, 138, 236772, 236743, 236800, 52312, 16972, 573, 8428, 10512, 108, 9208, 7846, 1374, 1894, 822, 16672, 2203, 236789, 236751, 1262, 12434, 3548, 236761, 21284, 611, 1133, 531, 6253, 1027, 6137, 568, 236744, 236761, 236759, 1126, 3553, 5603, 7444, 2425, 653, 27791, 12032, 236768, 573, 12567, 3736, 607, 8646, 7948, 27490, 236881, 106, 107, 105, 2364, 107, 114394, 236787, 669, 1873, 9831, 5072, 16111, 573, 1023, 4068, 1262, 5249, 5420, 236761, 3153, 236764, 564, 236789, 236753, 1133, 531, 11327, 1791, 10154, 573, 61232, 9299, 12434, 1056, 2844, 607, 8646, 32542, 237028, 74864, 8859, 3136, 24725, 532, 1262, 80864, 11298, 236761, 28344, 611, 2847, 14984, 580, 39919, 5603, 6137, 531, 7002, 8143, 1262, 51139, 607, 7757, 9299, 14120, 573, 46327, 11734, 5699, 236881, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 31044, 4313, 531, 61232, 9299, 12434, 573, 46327, 11734, 236764, 41346, 9286, 607, 7757, 14120, 236787, 108, 7243, 108, 10354, 5213, 21796, 10488, 4143, 62382, 1018, 107, 236770, 236761, 5213, 10252, 236772, 46163, 90897, 66515, 138, 107, 139, 6845, 506, 26726, 122957, 7879, 9299, 13049, 573, 14481, 3136, 11649, 568, 236744, 236761, 236759, 1126, 10512, 236786, 20353, 769, 35593, 2165, 2074, 236779, 64660, 236929, 528, 822, 3957, 568, 75345, 236743, 236810, 236768, 531, 4196, 3426, 64470, 236761, 1701, 2591, 236764, 768, 506, 9299, 5862, 236743, 236770, 236771, 10512, 236786, 8556, 236764, 4576, 34818, 13792, 531, 5571, 71612, 236761, 108, 236778, 236761, 5213, 132604, 7429, 2865, 66515, 138, 107, 139, 78109, 52312, 13179, 607, 22117, 1063, 2865, 568, 236744, 236761, 236759, 1126, 2165, 56653, 236779, 132101, 578, 236743, 236800, 236929, 563, 1535, 236764, 840, 3553, 30583, 1534, 2461, 2302, 768, 24285, 3136, 11649, 769, 108, 236800, 236761, 5213, 3932, 807, 76085, 2395, 66515, 138, 107, 139, 3218, 496, 1944, 4940, 9249, 568, 236744, 236761, 236759, 1126, 236743, 236770, 236771, 236771, 236964, 236810, 236771, 236771, 1356, 236768, 1534, 10512, 531, 5571, 52679, 8827, 57952, 236761, 108, 236812, 236761, 5213, 52804, 77497, 66515, 138, 107, 139, 11620, 3072, 18907, 1133, 2165, 236917, 236772, 21796, 27884, 236772, 91237, 236929, 531, 54744, 6253, 2864, 7132, 236761, 108, 7243, 108, 10354, 5213, 2100, 565, 12057, 91330, 1018, 107, 236770, 236761, 5213, 13149, 47910, 573, 62303, 5774, 66515, 138, 107, 139, 16720, 5557, 653, 4563, 28436, 16445, 568, 236744, 236761, 236759, 1126, 1699, 87215, 653, 103348, 236768, 607, 496, 189512, 568, 2866, 236772, 1071, 236772, 28898, 236768, 32769, 607, 1262, 81807, 3548, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236812, 3885, 573, 2002, 5557, 8283, 769, 108, 236778, 236761, 5213, 138180, 93861, 66515, 138, 107, 139, 10896, 2165, 2859, 236772, 9336, 236772, 16249, 236929, 18907, 607, 20157, 4073, 568, 584, 8008, 684, 506, 9299, 236768, 531, 5571, 61343, 1262, 29181, 236761, 108, 236800, 236761, 5213, 28925, 93861, 66515, 138, 107, 139, 102755, 27490, 573, 5065, 5557, 653, 11024, 1131, 3161, 9299, 9139, 768, 506, 9299, 12765, 12539, 61925, 236761, 108, 7243, 108, 10354, 5213, 10745, 49263, 35593, 1230, 1018, 107, 236772, 5213, 13688, 66515, 46532, 2165, 30447, 236779, 27297, 236929, 568, 236744, 236761, 236759, 1126, 531, 236743, 236825, 236771, 236751, 236768, 573, 2455, 32542, 236764, 840, 7020, 573, 103345, 13792, 236761, 138, 107, 236772, 5213, 8554, 92988, 66515, 26959, 2165, 2074, 236779, 64660, 236929, 531, 236743, 236778, 236964, 236800, 768, 506, 9299, 563, 3136, 236772, 21028, 236764, 653, 3553, 531, 236743, 236770, 236771, 236964, 236770, 236810, 768, 506, 9299, 5862, 3715, 53350, 236761, 138, 107, 236772, 5213, 74790, 40242, 66515, 4140, 130434, 531, 2461, 2302, 568, 236744, 236761, 236759, 1126, 4940, 30583, 236768, 531, 5571, 541, 183525, 82130, 236761, 108, 7243, 108, 10354, 5213, 46048, 14691, 1018, 107, 2859, 506, 9299, 5862, 236743, 236770, 236810, 10512, 236786, 20353, 236787, 138, 107, 2717, 3723, 107, 236782, 107, 138, 236775, 49701, 236779, 12291, 1083, 642, 107, 140, 236775, 2074, 236779, 64660, 1083, 236743, 236800, 236764, 107, 140, 236775, 56653, 236779, 132101, 1083, 236743, 236810, 236764, 107, 140, 236775, 56653, 236779, 19792, 1083, 236743, 236778, 236771, 236771, 236771, 236764, 138, 715, 236743, 236778, 236772, 8556, 3225, 9249, 607, 130434, 107, 140, 236775, 12655, 236779, 144414, 1083, 236743, 236800, 236825, 236771, 236771, 140, 715, 236743, 236770, 236772, 13807, 15612, 573, 2002, 1262, 107, 138, 236783, 107, 236783, 107, 2717, 108, 7243, 108, 38786, 611, 1133, 531, 6253, 1027, 6137, 528, 822, 1873, 3957, 568, 236744, 236761, 236759, 1126, 2165, 2074, 236779, 64660, 236929, 653, 2165, 30447, 236779, 27297, 18833, 531, 8913, 607, 1239, 1791, 10154, 236881, 106, 107, 105, 2364, 107, 114394, 236787, 10770, 611, 573, 506, 9813, 14984, 236761, 18186, 580, 672, 236764, 564, 236789, 236753, 1133, 531, 6253, 1023, 9831, 684, 6514, 2165, 2074, 236779, 64660, 236929, 531, 236743, 236800, 532, 2165, 12655, 236779, 144414, 236929, 531, 236743, 236800, 236825, 236771, 236771, 9093, 236761, 28344, 611, 4610, 506, 3739, 9831, 607, 1239, 6137, 531, 30726, 1023, 46327, 1262, 12434, 236881, 106, 107, 105, 4368, 107, 236777, 5633, 6220, 506, 20478, 531, 17114, 3739, 29262, 5467, 236761, 669, 2165, 828, 236779, 236770, 236828, 236779, 236770, 236779, 1110, 236779, 3762, 236929, 5904, 1186, 165522, 7846, 532, 1677, 711, 1894, 12496, 236761, 2282, 4144, 822, 15633, 3731, 20442, 2074, 236779, 64660, 578, 236743, 236800, 8347, 2165, 12655, 236779, 144414, 578, 236743, 236800, 236825, 236771, 236771, 59740, 611, 1093, 1202, 531, 236787, 108, 236770, 236761, 5213, 10896, 496, 9831, 3997, 5904, 1018, 568, 236744, 236761, 236759, 1126, 196128, 236764, 163735, 236768, 768, 2487, 528, 822, 10166, 236761, 107, 236778, 236761, 5213, 12744, 506, 9831, 2129, 1018, 24473, 568, 584, 15283, 236768, 532, 29367, 1964, 506, 3739, 236761, 107, 236800, 236761, 5213, 11431, 822, 1458, 30373, 1018, 653, 85794, 2434, 531, 5510, 1239, 3731, 236761, 108, 38786, 611, 1133, 14984, 580, 1217, 531, 24473, 4610, 506, 9831, 653, 25139, 1239, 6137, 1131, 822, 29436, 18922, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 114394, 236787, 564, 236789, 236757, 6514, 872, 496, 2263, 23092, 11734, 1458, 573, 496, 16672, 2203, 564, 236789, 236757, 64451, 236761, 28344, 611, 33205, 506, 3739, 9831, 6137, 531, 2426, 768, 506, 1873, 7846, 1894, 12434, 607, 8646, 34438, 1133, 506, 26726, 122957, 7879, 9299, 236881, 564, 6950, 672, 17358, 1913, 1023, 1774, 12309, 1003, 1262, 3997, 6436, 573, 11363, 5557, 16074, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3762, 236779, 2084, 1083, 623, 3677, 236779, 12291, 827, 623, 4406, 1083, 236743, 236770, 236828, 236761, 236770, 236764, 623, 3677, 236779, 200232, 1083, 3714, 3940, 1591, 236779, 163914, 2565, 1083, 623, 2574, 1411, 3677, 236761, 4565, 9524, 236761, 2187, 236786, 236766, 236778, 236786, 38903, 827, 623, 9343, 236779, 2451, 1083, 623, 2574, 1411, 9343, 236761, 4565, 9524, 236761, 2187, 236786, 54903, 236778, 236786, 1114, 827, 623, 30447, 236779, 27297, 1083, 236743, 236800, 236771, 1263, 623, 49701, 236779, 12291, 1083, 3714, 5939, 1083, 623, 3723, 236772, 671, 827, 623, 2074, 236779, 64660, 1083, 236743, 236810, 236764, 623, 56653, 236779, 132101, 1083, 236743, 236800, 1263, 623, 4818, 1083, 623, 5034, 25938, 106, 107, 105, 4368, 107, 818, 3739, 9831, 44898, 5158, 12434, 607, 506, 26726, 122957, 7879, 9299, 1343, 1239, 2307, 6137, 236787, 108, 236772, 5213, 10252, 107890, 66515, 2165, 2574, 1411, 3677, 236761, 4565, 9524, 236761, 2187, 236786, 236766, 236778, 236786, 38903, 236929, 568, 43925, 10434, 236772, 19749, 6518, 236768, 107, 236772, 5213, 38783, 66515, 30121, 236772, 5140, 77582, 236778, 4323, 2165, 2574, 1411, 9343, 236761, 4565, 9524, 236761, 2187, 236786, 54903, 236778, 236786, 1114, 236929, 107, 236772, 5213, 10745, 24961, 66515, 107, 138, 236772, 236743, 236800, 236771, 236772, 8556, 27791, 107, 138, 236772, 38084, 236743, 236810, 34818, 13792, 107, 138, 236772, 236743, 236800, 52312, 16972, 573, 8428, 10512, 108, 9208, 7846, 1374, 1894, 822, 16672, 2203, 236789, 236751, 1262, 12434, 3548, 236761, 21284, 611, 1133, 531, 6253, 1027, 6137, 568, 236744, 236761, 236759, 1126, 3553, 5603, 7444, 2425, 653, 27791, 12032, 236768, 573, 12567, 3736, 607, 8646, 7948, 27490, 236881, 106, 107, 105, 2364, 107, 114394, 236787, 669, 1873, 9831, 5072, 16111, 573, 1023, 4068, 1262, 5249, 5420, 236761, 3153, 236764, 564, 236789, 236753, 1133, 531, 11327, 1791, 10154, 573, 61232, 9299, 12434, 1056, 2844, 607, 8646, 32542, 237028, 74864, 8859, 3136, 24725, 532, 1262, 80864, 11298, 236761, 28344, 611, 2847, 14984, 580, 39919, 5603, 6137, 531, 7002, 8143, 1262, 51139, 607, 7757, 9299, 14120, 573, 46327, 11734, 5699, 236881, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 31044, 4313, 531, 61232, 9299, 12434, 573, 46327, 11734, 236764, 41346, 9286, 607, 7757, 14120, 236787, 108, 7243, 108, 10354, 5213, 21796, 10488, 4143, 62382, 1018, 107, 236770, 236761, 5213, 10252, 236772, 46163, 90897, 66515, 138, 107, 139, 6845, 506, 26726, 122957, 7879, 9299, 13049, 573, 14481, 3136, 11649, 568, 236744, 236761, 236759, 1126, 10512, 236786, 20353, 769, 35593, 2165, 2074, 236779, 64660, 236929, 528, 822, 3957, 568, 75345, 236743, 236810, 236768, 531, 4196, 3426, 64470, 236761, 1701, 2591, 236764, 768, 506, 9299, 5862, 236743, 236770, 236771, 10512, 236786, 8556, 236764, 4576, 34818, 13792, 531, 5571, 71612, 236761, 108, 236778, 236761, 5213, 132604, 7429, 2865, 66515, 138, 107, 139, 78109, 52312, 13179, 607, 22117, 1063, 2865, 568, 236744, 236761, 236759, 1126, 2165, 56653, 236779, 132101, 578, 236743, 236800, 236929, 563, 1535, 236764, 840, 3553, 30583, 1534, 2461, 2302, 768, 24285, 3136, 11649, 769, 108, 236800, 236761, 5213, 3932, 807, 76085, 2395, 66515, 138, 107, 139, 3218, 496, 1944, 4940, 9249, 568, 236744, 236761, 236759, 1126, 236743, 236770, 236771, 236771, 236964, 236810, 236771, 236771, 1356, 236768, 1534, 10512, 531, 5571, 52679, 8827, 57952, 236761, 108, 236812, 236761, 5213, 52804, 77497, 66515, 138, 107, 139, 11620, 3072, 18907, 1133, 2165, 236917, 236772, 21796, 27884, 236772, 91237, 236929, 531, 54744, 6253, 2864, 7132, 236761, 108, 7243, 108, 10354, 5213, 2100, 565, 12057, 91330, 1018, 107, 236770, 236761, 5213, 13149, 47910, 573, 62303, 5774, 66515, 138, 107, 139, 16720, 5557, 653, 4563, 28436, 16445, 568, 236744, 236761, 236759, 1126, 1699, 87215, 653, 103348, 236768, 607, 496, 189512, 568, 2866, 236772, 1071, 236772, 28898, 236768, 32769, 607, 1262, 81807, 3548, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236812, 3885, 573, 2002, 5557, 8283, 769, 108, 236778, 236761, 5213, 138180, 93861, 66515, 138, 107, 139, 10896, 2165, 2859, 236772, 9336, 236772, 16249, 236929, 18907, 607, 20157, 4073, 568, 584, 8008, 684, 506, 9299, 236768, 531, 5571, 61343, 1262, 29181, 236761, 108, 236800, 236761, 5213, 28925, 93861, 66515, 138, 107, 139, 102755, 27490, 573, 5065, 5557, 653, 11024, 1131, 3161, 9299, 9139, 768, 506, 9299, 12765, 12539, 61925, 236761, 108, 7243, 108, 10354, 5213, 10745, 49263, 35593, 1230, 1018, 107, 236772, 5213, 13688, 66515, 46532, 2165, 30447, 236779, 27297, 236929, 568, 236744, 236761, 236759, 1126, 531, 236743, 236825, 236771, 236751, 236768, 573, 2455, 32542, 236764, 840, 7020, 573, 103345, 13792, 236761, 138, 107, 236772, 5213, 8554, 92988, 66515, 26959, 2165, 2074, 236779, 64660, 236929, 531, 236743, 236778, 236964, 236800, 768, 506, 9299, 563, 3136, 236772, 21028, 236764, 653, 3553, 531, 236743, 236770, 236771, 236964, 236770, 236810, 768, 506, 9299, 5862, 3715, 53350, 236761, 138, 107, 236772, 5213, 74790, 40242, 66515, 4140, 130434, 531, 2461, 2302, 568, 236744, 236761, 236759, 1126, 4940, 30583, 236768, 531, 5571, 541, 183525, 82130, 236761, 108, 7243, 108, 10354, 5213, 46048, 14691, 1018, 107, 2859, 506, 9299, 5862, 236743, 236770, 236810, 10512, 236786, 20353, 236787, 138, 107, 2717, 3723, 107, 236782, 107, 138, 236775, 49701, 236779, 12291, 1083, 642, 107, 140, 236775, 2074, 236779, 64660, 1083, 236743, 236800, 236764, 107, 140, 236775, 56653, 236779, 132101, 1083, 236743, 236810, 236764, 107, 140, 236775, 56653, 236779, 19792, 1083, 236743, 236778, 236771, 236771, 236771, 236764, 138, 715, 236743, 236778, 236772, 8556, 3225, 9249, 607, 130434, 107, 140, 236775, 12655, 236779, 144414, 1083, 236743, 236800, 236825, 236771, 236771, 140, 715, 236743, 236770, 236772, 13807, 15612, 573, 2002, 1262, 107, 138, 236783, 107, 236783, 107, 2717, 108, 7243, 108, 38786, 611, 1133, 531, 6253, 1027, 6137, 528, 822, 1873, 3957, 568, 236744, 236761, 236759, 1126, 2165, 2074, 236779, 64660, 236929, 653, 2165, 30447, 236779, 27297, 18833, 531, 8913, 607, 1239, 1791, 10154, 236881, 106, 107, 105, 2364, 107, 114394, 236787, 10770, 611, 573, 506, 9813, 14984, 236761, 18186, 580, 672, 236764, 564, 236789, 236753, 1133, 531, 6253, 1023, 9831, 684, 6514, 2165, 2074, 236779, 64660, 236929, 531, 236743, 236800, 532, 2165, 12655, 236779, 144414, 236929, 531, 236743, 236800, 236825, 236771, 236771, 9093, 236761, 28344, 611, 4610, 506, 3739, 9831, 607, 1239, 6137, 531, 30726, 1023, 46327, 1262, 12434, 236881, 106, 107, 105, 4368, 107, 236777, 5633, 6220, 506, 20478, 531, 17114, 3739, 29262, 5467, 236761, 669, 2165, 828, 236779, 236770, 236828, 236779, 236770, 236779, 1110, 236779, 3762, 236929, 5904, 1186, 165522, 7846, 532, 1677, 711, 1894, 12496, 236761, 2282, 4144, 822, 15633, 3731, 20442, 2074, 236779, 64660, 578, 236743, 236800, 8347, 2165, 12655, 236779, 144414, 578, 236743, 236800, 236825, 236771, 236771, 59740, 611, 1093, 1202, 531, 236787, 108, 236770, 236761, 5213, 10896, 496, 9831, 3997, 5904, 1018, 568, 236744, 236761, 236759, 1126, 196128, 236764, 163735, 236768, 768, 2487, 528, 822, 10166, 236761, 107, 236778, 236761, 5213, 12744, 506, 9831, 2129, 1018, 24473, 568, 584, 15283, 236768, 532, 29367, 1964, 506, 3739, 236761, 107, 236800, 236761, 5213, 11431, 822, 1458, 30373, 1018, 653, 85794, 2434, 531, 5510, 1239, 3731, 236761, 108, 38786, 611, 1133, 14984, 580, 1217, 531, 24473, 4610, 506, 9831, 653, 25139, 1239, 6137, 1131, 822, 29436, 18922, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 1041, 154213, 18669, 5417, 573, 188164, 236761, 5315, 236764, 564, 1461, 531, 1281, 1144, 2354, 27857, 659, 8008, 573, 160015, 8487, 834, 564, 740, 7352, 1041, 2255, 94788, 6614, 236761, 4298, 236764, 564, 1202, 531, 1460, 837, 528, 37084, 740, 6060, 1724, 27857, 573, 2005, 6261, 236761, 3792, 236789, 236751, 1502, 607, 16329, 506, 2487, 27857, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 95451, 1083, 11058, 25323, 827, 623, 140792, 827, 623, 78951, 827, 623, 146296, 827, 623, 17578, 5495, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 495, 37084, 1083, 78493, 495, 2566, 236779, 547, 1083, 623, 8929, 236779, 39735, 236779, 236771, 236771, 236770, 827, 623, 4818, 1083, 623, 5034, 827, 623, 17186, 1083, 3714, 30809, 236779, 95451, 1083, 11058, 25323, 827, 623, 140792, 827, 623, 78951, 827, 623, 17578, 5495, 14255, 623, 6123, 236779, 25475, 1083, 1847, 1263, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 495, 2566, 236779, 547, 1083, 623, 8929, 236779, 39735, 236779, 236771, 236812, 236810, 827, 623, 4818, 1083, 623, 5034, 827, 623, 17186, 1083, 3714, 30809, 236779, 95451, 1083, 11058, 70796, 236917, 827, 623, 236917, 15843, 236917, 827, 623, 181386, 236917, 14255, 623, 6123, 236779, 25475, 1083, 2416, 1263, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 6725, 236779, 2861, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 2536, 573, 822, 154213, 18669, 188164, 3548, 236787, 108, 1018, 47070, 160015, 5959, 2139, 53121, 107, 25323, 236764, 86885, 236764, 52467, 236764, 102249, 236764, 211650, 108, 1018, 21550, 21685, 39244, 799, 37084, 53121, 107, 236770, 236761, 5213, 171420, 5853, 236787, 6484, 236779, 39735, 236779, 236771, 236771, 236770, 1018, 138, 107, 139, 236772, 20236, 236787, 5365, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 160015, 222271, 236787, 113452, 8438, 138, 107, 139, 236772, 107425, 5959, 2139, 236787, 16553, 236764, 86885, 236764, 52467, 236764, 211650, 138, 107, 139, 236772, 18365, 236787, 23531, 138, 108, 236778, 236761, 5213, 171420, 5853, 236787, 6484, 236779, 39735, 236779, 236771, 236812, 236810, 1018, 138, 107, 139, 236772, 20236, 236787, 3353, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 160015, 222271, 236787, 236743, 242523, 2301, 138, 107, 139, 236772, 107425, 5959, 2139, 236787, 65591, 236917, 236764, 133218, 236764, 168771, 236917, 138, 107, 139, 236772, 18365, 236787, 23531, 138, 108, 1018, 211199, 53121, 6890, 5213, 8929, 236779, 39735, 236779, 236771, 236771, 236770, 1018, 573, 822, 94788, 6614, 2338, 625, 12765, 2471, 236786, 25323, 27857, 4715, 815, 160015, 15446, 236761, 669, 1855, 52181, 568, 8929, 236779, 39735, 236779, 236771, 236812, 236810, 236768, 5889, 236789, 236745, 9273, 573, 160015, 8487, 529, 94788, 5417, 236761, 21284, 611, 1133, 531, 7162, 607, 106118, 672, 52181, 573, 822, 18669, 5734, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 1041, 154213, 18669, 5417, 573, 188164, 236761, 5315, 236764, 564, 1461, 531, 1281, 1144, 2354, 27857, 659, 8008, 573, 160015, 8487, 834, 564, 740, 7352, 1041, 2255, 94788, 6614, 236761, 4298, 236764, 564, 1202, 531, 1460, 837, 528, 37084, 740, 6060, 1724, 27857, 573, 2005, 6261, 236761, 3792, 236789, 236751, 1502, 607, 16329, 506, 2487, 27857, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 95451, 1083, 11058, 25323, 827, 623, 140792, 827, 623, 78951, 827, 623, 146296, 827, 623, 17578, 5495, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 495, 37084, 1083, 78493, 495, 2566, 236779, 547, 1083, 623, 8929, 236779, 39735, 236779, 236771, 236771, 236770, 827, 623, 4818, 1083, 623, 5034, 827, 623, 17186, 1083, 3714, 30809, 236779, 95451, 1083, 11058, 25323, 827, 623, 140792, 827, 623, 78951, 827, 623, 17578, 5495, 14255, 623, 6123, 236779, 25475, 1083, 1847, 1263, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 495, 2566, 236779, 547, 1083, 623, 8929, 236779, 39735, 236779, 236771, 236812, 236810, 827, 623, 4818, 1083, 623, 5034, 827, 623, 17186, 1083, 3714, 30809, 236779, 95451, 1083, 11058, 70796, 236917, 827, 623, 236917, 15843, 236917, 827, 623, 181386, 236917, 14255, 623, 6123, 236779, 25475, 1083, 2416, 1263, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 6725, 236779, 2861, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 2536, 573, 822, 154213, 18669, 188164, 3548, 236787, 108, 1018, 47070, 160015, 5959, 2139, 53121, 107, 25323, 236764, 86885, 236764, 52467, 236764, 102249, 236764, 211650, 108, 1018, 21550, 21685, 39244, 799, 37084, 53121, 107, 236770, 236761, 5213, 171420, 5853, 236787, 6484, 236779, 39735, 236779, 236771, 236771, 236770, 1018, 138, 107, 139, 236772, 20236, 236787, 5365, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 160015, 222271, 236787, 113452, 8438, 138, 107, 139, 236772, 107425, 5959, 2139, 236787, 16553, 236764, 86885, 236764, 52467, 236764, 211650, 138, 107, 139, 236772, 18365, 236787, 23531, 138, 108, 236778, 236761, 5213, 171420, 5853, 236787, 6484, 236779, 39735, 236779, 236771, 236812, 236810, 1018, 138, 107, 139, 236772, 20236, 236787, 3353, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 160015, 222271, 236787, 236743, 242523, 2301, 138, 107, 139, 236772, 107425, 5959, 2139, 236787, 65591, 236917, 236764, 133218, 236764, 168771, 236917, 138, 107, 139, 236772, 18365, 236787, 23531, 138, 108, 1018, 211199, 53121, 6890, 5213, 8929, 236779, 39735, 236779, 236771, 236771, 236770, 1018, 573, 822, 94788, 6614, 2338, 625, 12765, 2471, 236786, 25323, 27857, 4715, 815, 160015, 15446, 236761, 669, 1855, 52181, 568, 8929, 236779, 39735, 236779, 236771, 236812, 236810, 236768, 5889, 236789, 236745, 9273, 573, 160015, 8487, 529, 94788, 5417, 236761, 21284, 611, 1133, 531, 7162, 607, 106118, 672, 52181, 573, 822, 18669, 5734, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 18840, 9470, 35818, 1262, 531, 5608, 506, 20294, 529, 1023, 861, 11961, 2404, 17358, 236761, 28344, 611, 33205, 6213, 11734, 1262, 573, 6951, 528, 1023, 21912, 31882, 1015, 236789, 560, 26695, 528, 506, 1948, 236881, 564, 1202, 12763, 11005, 532, 4806, 1594, 2536, 699, 506, 3068, 3962, 3794, 573, 7010, 18124, 236743, 236800, 236771, 236772, 236810, 236771, 607, 657, 3198, 1156, 1518, 529, 40895, 236761, 7323, 3204, 11858, 8735, 573, 9960, 236764, 532, 5957, 684, 1724, 1015, 236789, 560, 3505, 11531, 528, 36432, 19455, 236761, 669, 9470, 62606, 659, 16169, 236770, 236771, 236771, 236778, 236764, 16169, 236770, 236771, 236771, 236810, 236764, 16169, 236770, 236771, 236771, 236832, 236764, 16169, 236770, 236771, 236770, 236771, 236764, 532, 16169, 236770, 236771, 236770, 236800, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 1516, 1083, 3714, 200549, 236779, 193319, 1083, 78493, 31003, 236779, 547, 1083, 623, 21326, 236770, 236771, 236771, 236778, 827, 623, 676, 1083, 236743, 236800, 236810, 236764, 623, 1571, 694, 236779, 33658, 1083, 236743, 236800, 236764, 623, 48631, 1230, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236778, 236810, 236786, 236828, 236771, 133207, 827, 623, 20287, 236779, 4720, 1083, 623, 236832, 236778, 176162, 827, 623, 60906, 236779, 155764, 1083, 623, 236819, 236828, 171446, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236770, 236828, 236786, 236832, 236810, 133207, 827, 623, 20287, 236779, 4720, 1083, 623, 236825, 236828, 176162, 827, 623, 60906, 236779, 155764, 1083, 623, 236819, 236819, 236908, 25938, 1604, 623, 6307, 31591, 236779, 105674, 1083, 1847, 1263, 3714, 31003, 236779, 547, 1083, 623, 21326, 236770, 236771, 236771, 236832, 827, 623, 676, 1083, 236743, 236812, 236778, 236764, 623, 1571, 694, 236779, 33658, 1083, 236743, 236812, 236764, 623, 48631, 1230, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236800, 236810, 236786, 236828, 236810, 133207, 827, 623, 20287, 236779, 4720, 1083, 623, 236832, 236828, 176162, 827, 623, 60906, 236779, 155764, 1083, 623, 236819, 236832, 171446, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236778, 236778, 236786, 236832, 236828, 133207, 827, 623, 20287, 236779, 4720, 1083, 623, 236832, 236771, 176162, 827, 623, 60906, 236779, 155764, 1083, 623, 236819, 236819, 236908, 25938, 1604, 623, 6307, 31591, 236779, 105674, 1083, 1847, 104960, 623, 47328, 236779, 2181, 236779, 12103, 1083, 3714, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236770, 1083, 78493, 31003, 236779, 547, 1083, 623, 21326, 236770, 236771, 236770, 236771, 827, 623, 45367, 28485, 1083, 623, 236770, 236828, 236810, 12124, 236786, 109370, 827, 623, 1168, 554, 67097, 1949, 1083, 623, 236770, 236812, 236771, 12124, 236786, 109370, 827, 623, 236754, 15967, 1083, 623, 236810, 236810, 12124, 236786, 109370, 827, 623, 671, 236752, 1083, 623, 236770, 236770, 236771, 12124, 236786, 109370, 236775, 200808, 623, 124977, 236779, 53247, 1083, 3714, 91339, 236779, 236778, 236771, 236778, 236812, 1083, 78493, 31003, 236779, 547, 1083, 623, 21326, 236770, 236771, 236771, 236810, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236812, 236771, 236786, 236819, 236771, 133207, 827, 623, 45367, 28485, 1083, 623, 236778, 236770, 236771, 12124, 236786, 109370, 236775, 15947, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4375, 1083, 623, 7949, 101085, 6213, 11734, 1262, 573, 236743, 236810, 6951, 16590, 13138, 827, 623, 1516, 1083, 3714, 80040, 1083, 78493, 31003, 236779, 547, 1083, 623, 21326, 236770, 236771, 236771, 236778, 827, 623, 676, 1083, 236743, 236800, 236810, 236764, 623, 1571, 694, 236779, 33658, 1083, 236743, 236800, 236764, 623, 200549, 236779, 193319, 1083, 3714, 4002, 1083, 3714, 45367, 28485, 1083, 623, 236770, 236828, 236810, 12124, 236786, 109370, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236778, 236810, 236786, 236828, 236771, 133207, 827, 623, 132119, 1083, 623, 236778, 236812, 236761, 236778, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 623, 124977, 1083, 3714, 45367, 28485, 1083, 623, 236778, 236770, 236771, 12124, 236786, 109370, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236800, 236810, 236786, 236828, 236810, 133207, 827, 623, 132119, 1083, 623, 236778, 236825, 236761, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236770, 236810, 236775, 5237, 623, 8561, 236779, 12103, 1083, 3714, 47328, 236779, 2025, 1083, 3714, 236754, 15967, 1083, 623, 236810, 236810, 12124, 236786, 109370, 827, 623, 671, 236752, 1083, 623, 236770, 236770, 236771, 12124, 236786, 109370, 827, 623, 1168, 554, 67097, 1949, 1083, 623, 236770, 236812, 236771, 12124, 236786, 109370, 827, 623, 118594, 1083, 623, 236819, 236778, 12124, 236786, 109370, 236775, 112679, 3714, 31003, 236779, 547, 1083, 623, 21326, 236770, 236771, 236771, 236810, 827, 623, 676, 1083, 236743, 236812, 236778, 236764, 623, 1571, 694, 236779, 33658, 1083, 236743, 236812, 236764, 623, 200549, 236779, 193319, 1083, 3714, 4002, 1083, 3714, 45367, 28485, 1083, 623, 236770, 236819, 236771, 12124, 236786, 109370, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236778, 236828, 236786, 236828, 236778, 133207, 827, 623, 132119, 1083, 623, 236778, 236800, 236761, 236828, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 23179, 623, 124977, 1083, 3714, 45367, 28485, 1083, 623, 236778, 236778, 236810, 12124, 236786, 109370, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236812, 236771, 236786, 236819, 236771, 133207, 827, 623, 132119, 1083, 623, 236778, 236832, 236761, 236771, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236770, 236812, 236775, 5237, 623, 8561, 236779, 12103, 1083, 3714, 47328, 236779, 2025, 1083, 3714, 236754, 15967, 1083, 623, 236825, 236771, 12124, 236786, 109370, 827, 623, 671, 236752, 1083, 623, 236770, 236771, 236810, 12124, 236786, 109370, 827, 623, 1168, 554, 67097, 1949, 1083, 623, 236770, 236800, 236810, 12124, 236786, 109370, 827, 623, 118594, 1083, 623, 236828, 236828, 12124, 236786, 109370, 236775, 19465, 1604, 623, 6011, 1083, 3714, 6725, 236779, 80040, 1083, 236743, 236810, 236764, 623, 99157, 236779, 6307, 31591, 236779, 105674, 1083, 236743, 236810, 236764, 623, 2289, 236779, 6516, 236779, 79082, 8562, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236771, 236770, 531, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236800, 236770, 827, 623, 2478, 236779, 29263, 236779, 171314, 1083, 11058, 45367, 28485, 827, 623, 47328, 236779, 31700, 827, 623, 132119, 1935, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 8358, 1083, 623, 57177, 236779, 18308, 827, 623, 1516, 1083, 3714, 80040, 1083, 78493, 547, 1083, 623, 21326, 236770, 236771, 236771, 236778, 827, 623, 200549, 236779, 193319, 1083, 3714, 47328, 236779, 31700, 1083, 623, 236770, 236778, 236810, 236786, 236828, 236771, 133207, 827, 623, 20287, 236779, 4720, 1083, 623, 236832, 236778, 176162, 827, 623, 45367, 28485, 1083, 623, 236770, 236828, 236810, 12124, 236786, 109370, 23179, 623, 47328, 236779, 29429, 1083, 3714, 236754, 15967, 1083, 623, 236810, 236778, 12124, 236786, 109370, 827, 623, 671, 236752, 1083, 623, 236770, 236770, 236771, 12124, 236786, 109370, 827, 623, 1168, 554, 67097, 1949, 1083, 623, 236819, 236810, 12124, 236786, 109370, 23179, 623, 124977, 236779, 88933, 1083, 3714, 32136, 236779, 47328, 236779, 31700, 1083, 623, 236770, 236812, 236771, 236786, 236828, 236828, 133207, 827, 623, 32136, 236779, 45367, 28485, 1083, 623, 236778, 236770, 236771, 12124, 236786, 109370, 827, 623, 105674, 236779, 45972, 1083, 623, 236800, 3794, 236775, 5237, 3714, 547, 1083, 623, 21326, 236770, 236771, 236771, 236832, 827, 623, 200549, 236779, 193319, 1083, 3714, 47328, 236779, 31700, 1083, 623, 236770, 236778, 236828, 236786, 236828, 236778, 133207, 827, 623, 20287, 236779, 4720, 1083, 623, 236825, 236828, 176162, 827, 623, 45367, 28485, 1083, 623, 236770, 236832, 236828, 12124, 236786, 109370, 23179, 623, 47328, 236779, 29429, 1083, 3714, 236754, 15967, 1083, 623, 236812, 236828, 12124, 236786, 109370, 827, 623, 671, 236752, 1083, 623, 236770, 236771, 236778, 12124, 236786, 109370, 827, 623, 1168, 554, 67097, 1949, 1083, 623, 236828, 236828, 12124, 236786, 109370, 23179, 623, 124977, 236779, 88933, 1083, 3714, 32136, 236779, 47328, 236779, 31700, 1083, 623, 236770, 236812, 236778, 236786, 236819, 236771, 133207, 827, 623, 32136, 236779, 45367, 28485, 1083, 623, 236778, 236770, 236810, 12124, 236786, 109370, 827, 623, 105674, 236779, 45972, 1083, 623, 236812, 3794, 127096, 1604, 623, 6011, 1083, 3714, 6725, 236779, 25541, 1083, 236743, 236778, 236764, 623, 28128, 236779, 45367, 28485, 236779, 65967, 1083, 623, 236778, 236778, 236761, 236810, 12124, 236786, 109370, 827, 623, 47328, 236779, 31700, 236779, 105674, 1083, 623, 236770, 236778, 236761, 236800, 70887, 623, 1516, 236779, 23735, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236770, 531, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236770, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 18844, 529, 506, 6213, 11734, 1262, 52236, 573, 822, 21912, 31882, 6951, 22765, 528, 506, 2404, 17358, 236787, 108, 1018, 3503, 99652, 53121, 107, 236770, 236761, 5213, 9789, 31591, 54550, 1018, 568, 3243, 236743, 236810, 3328, 6951, 6418, 49022, 5609, 1473, 107, 139, 236772, 5213, 21326, 236770, 236771, 236771, 236778, 1018, 568, 236800, 236810, 236764, 236743, 236800, 1518, 40895, 1473, 20909, 4204, 72565, 699, 236743, 236770, 236812, 236771, 236786, 236828, 236828, 531, 236743, 236770, 236778, 236810, 236786, 236828, 236771, 133207, 568, 236800, 236772, 11283, 34315, 236768, 107, 139, 236772, 5213, 21326, 236770, 236771, 236771, 236810, 1018, 568, 236812, 236778, 236764, 236743, 236812, 1518, 40895, 1473, 189806, 72565, 699, 236743, 236778, 236778, 236810, 531, 236743, 236770, 236819, 236771, 12124, 236786, 109370, 568, 236825, 236772, 11283, 34315, 236768, 107, 139, 236772, 5213, 21326, 236770, 236771, 236771, 236832, 1018, 568, 236812, 236778, 236764, 236743, 236812, 1518, 40895, 1473, 120376, 72565, 699, 236743, 236770, 236812, 236778, 236786, 236819, 236771, 531, 236743, 236770, 236778, 236828, 236786, 236828, 236778, 133207, 568, 236812, 236772, 11283, 34315, 236768, 107, 139, 236772, 5213, 21326, 236770, 236771, 236770, 236771, 1018, 568, 4348, 528, 4068, 2536, 840, 8601, 528, 4806, 2025, 1473, 189806, 657, 236743, 236770, 236828, 236810, 12124, 236786, 109370, 607, 12567, 132099, 568, 236810, 236810, 12124, 236786, 109370, 236768, 107, 139, 236772, 5213, 21326, 236770, 236771, 236770, 236800, 1018, 568, 2100, 22600, 753, 711, 1765, 528, 1873, 2536, 236768, 108, 236778, 236761, 5213, 52544, 102853, 899, 616, 53121, 107, 139, 236772, 29748, 36142, 9095, 236787, 236743, 236778, 236778, 236761, 236810, 12124, 236786, 109370, 568, 91339, 236743, 236778, 236770, 236771, 16130, 1873, 236743, 236770, 236828, 236832, 236761, 236810, 12124, 236786, 109370, 236768, 107, 139, 236772, 184445, 67097, 1949, 9806, 684, 236743, 236778, 236771, 236772, 236800, 236771, 236908, 3418, 11383, 107, 139, 236772, 74013, 44194, 568, 236778, 236825, 236761, 236770, 16130, 236743, 236778, 236812, 236761, 236778, 4398, 236768, 108, 236800, 236761, 5213, 100368, 36520, 53121, 107, 139, 236772, 2343, 11383, 6418, 9958, 11531, 1024, 236743, 236800, 236772, 236825, 2297, 13443, 107, 139, 236772, 20909, 4204, 15955, 45583, 699, 236743, 236770, 236778, 236772, 236770, 236810, 236908, 9095, 528, 95060, 37297, 108, 1018, 201430, 53121, 107, 236770, 236761, 41696, 19276, 3671, 529, 16169, 236770, 236771, 236770, 236800, 236789, 236751, 9724, 8735, 107, 236778, 236761, 14066, 25731, 506, 1948, 531, 31882, 6951, 607, 3361, 20183, 107, 236800, 236761, 26295, 16169, 236770, 236771, 236771, 236832, 236789, 236751, 7245, 120376, 11531, 33744, 108, 38786, 611, 1133, 786, 531, 8729, 151289, 22020, 29645, 7728, 1873, 19455, 236764, 653, 9279, 18090, 17141, 529, 1239, 15955, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 18840, 9470, 35818, 1262, 531, 5608, 506, 20294, 529, 1023, 861, 11961, 2404, 17358, 236761, 28344, 611, 33205, 6213, 11734, 1262, 573, 6951, 528, 1023, 21912, 31882, 1015, 236789, 560, 26695, 528, 506, 1948, 236881, 564, 1202, 12763, 11005, 532, 4806, 1594, 2536, 699, 506, 3068, 3962, 3794, 573, 7010, 18124, 236743, 236800, 236771, 236772, 236810, 236771, 607, 657, 3198, 1156, 1518, 529, 40895, 236761, 7323, 3204, 11858, 8735, 573, 9960, 236764, 532, 5957, 684, 1724, 1015, 236789, 560, 3505, 11531, 528, 36432, 19455, 236761, 669, 9470, 62606, 659, 16169, 236770, 236771, 236771, 236778, 236764, 16169, 236770, 236771, 236771, 236810, 236764, 16169, 236770, 236771, 236771, 236832, 236764, 16169, 236770, 236771, 236770, 236771, 236764, 532, 16169, 236770, 236771, 236770, 236800, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 1516, 1083, 3714, 200549, 236779, 193319, 1083, 78493, 31003, 236779, 547, 1083, 623, 21326, 236770, 236771, 236771, 236778, 827, 623, 676, 1083, 236743, 236800, 236810, 236764, 623, 1571, 694, 236779, 33658, 1083, 236743, 236800, 236764, 623, 48631, 1230, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236778, 236810, 236786, 236828, 236771, 133207, 827, 623, 20287, 236779, 4720, 1083, 623, 236832, 236778, 176162, 827, 623, 60906, 236779, 155764, 1083, 623, 236819, 236828, 171446, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236770, 236828, 236786, 236832, 236810, 133207, 827, 623, 20287, 236779, 4720, 1083, 623, 236825, 236828, 176162, 827, 623, 60906, 236779, 155764, 1083, 623, 236819, 236819, 236908, 25938, 1604, 623, 6307, 31591, 236779, 105674, 1083, 1847, 1263, 3714, 31003, 236779, 547, 1083, 623, 21326, 236770, 236771, 236771, 236832, 827, 623, 676, 1083, 236743, 236812, 236778, 236764, 623, 1571, 694, 236779, 33658, 1083, 236743, 236812, 236764, 623, 48631, 1230, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236800, 236810, 236786, 236828, 236810, 133207, 827, 623, 20287, 236779, 4720, 1083, 623, 236832, 236828, 176162, 827, 623, 60906, 236779, 155764, 1083, 623, 236819, 236832, 171446, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236778, 236778, 236786, 236832, 236828, 133207, 827, 623, 20287, 236779, 4720, 1083, 623, 236832, 236771, 176162, 827, 623, 60906, 236779, 155764, 1083, 623, 236819, 236819, 236908, 25938, 1604, 623, 6307, 31591, 236779, 105674, 1083, 1847, 104960, 623, 47328, 236779, 2181, 236779, 12103, 1083, 3714, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236770, 1083, 78493, 31003, 236779, 547, 1083, 623, 21326, 236770, 236771, 236770, 236771, 827, 623, 45367, 28485, 1083, 623, 236770, 236828, 236810, 12124, 236786, 109370, 827, 623, 1168, 554, 67097, 1949, 1083, 623, 236770, 236812, 236771, 12124, 236786, 109370, 827, 623, 236754, 15967, 1083, 623, 236810, 236810, 12124, 236786, 109370, 827, 623, 671, 236752, 1083, 623, 236770, 236770, 236771, 12124, 236786, 109370, 236775, 200808, 623, 124977, 236779, 53247, 1083, 3714, 91339, 236779, 236778, 236771, 236778, 236812, 1083, 78493, 31003, 236779, 547, 1083, 623, 21326, 236770, 236771, 236771, 236810, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236812, 236771, 236786, 236819, 236771, 133207, 827, 623, 45367, 28485, 1083, 623, 236778, 236770, 236771, 12124, 236786, 109370, 236775, 15947, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4375, 1083, 623, 7949, 101085, 6213, 11734, 1262, 573, 236743, 236810, 6951, 16590, 13138, 827, 623, 1516, 1083, 3714, 80040, 1083, 78493, 31003, 236779, 547, 1083, 623, 21326, 236770, 236771, 236771, 236778, 827, 623, 676, 1083, 236743, 236800, 236810, 236764, 623, 1571, 694, 236779, 33658, 1083, 236743, 236800, 236764, 623, 200549, 236779, 193319, 1083, 3714, 4002, 1083, 3714, 45367, 28485, 1083, 623, 236770, 236828, 236810, 12124, 236786, 109370, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236778, 236810, 236786, 236828, 236771, 133207, 827, 623, 132119, 1083, 623, 236778, 236812, 236761, 236778, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 623, 124977, 1083, 3714, 45367, 28485, 1083, 623, 236778, 236770, 236771, 12124, 236786, 109370, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236800, 236810, 236786, 236828, 236810, 133207, 827, 623, 132119, 1083, 623, 236778, 236825, 236761, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236770, 236810, 236775, 5237, 623, 8561, 236779, 12103, 1083, 3714, 47328, 236779, 2025, 1083, 3714, 236754, 15967, 1083, 623, 236810, 236810, 12124, 236786, 109370, 827, 623, 671, 236752, 1083, 623, 236770, 236770, 236771, 12124, 236786, 109370, 827, 623, 1168, 554, 67097, 1949, 1083, 623, 236770, 236812, 236771, 12124, 236786, 109370, 827, 623, 118594, 1083, 623, 236819, 236778, 12124, 236786, 109370, 236775, 112679, 3714, 31003, 236779, 547, 1083, 623, 21326, 236770, 236771, 236771, 236810, 827, 623, 676, 1083, 236743, 236812, 236778, 236764, 623, 1571, 694, 236779, 33658, 1083, 236743, 236812, 236764, 623, 200549, 236779, 193319, 1083, 3714, 4002, 1083, 3714, 45367, 28485, 1083, 623, 236770, 236819, 236771, 12124, 236786, 109370, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236778, 236828, 236786, 236828, 236778, 133207, 827, 623, 132119, 1083, 623, 236778, 236800, 236761, 236828, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 23179, 623, 124977, 1083, 3714, 45367, 28485, 1083, 623, 236778, 236778, 236810, 12124, 236786, 109370, 827, 623, 47328, 236779, 31700, 1083, 623, 236770, 236812, 236771, 236786, 236819, 236771, 133207, 827, 623, 132119, 1083, 623, 236778, 236832, 236761, 236771, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236770, 236812, 236775, 5237, 623, 8561, 236779, 12103, 1083, 3714, 47328, 236779, 2025, 1083, 3714, 236754, 15967, 1083, 623, 236825, 236771, 12124, 236786, 109370, 827, 623, 671, 236752, 1083, 623, 236770, 236771, 236810, 12124, 236786, 109370, 827, 623, 1168, 554, 67097, 1949, 1083, 623, 236770, 236800, 236810, 12124, 236786, 109370, 827, 623, 118594, 1083, 623, 236828, 236828, 12124, 236786, 109370, 236775, 19465, 1604, 623, 6011, 1083, 3714, 6725, 236779, 80040, 1083, 236743, 236810, 236764, 623, 99157, 236779, 6307, 31591, 236779, 105674, 1083, 236743, 236810, 236764, 623, 2289, 236779, 6516, 236779, 79082, 8562, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236771, 236770, 531, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236800, 236770, 827, 623, 2478, 236779, 29263, 236779, 171314, 1083, 11058, 45367, 28485, 827, 623, 47328, 236779, 31700, 827, 623, 132119, 1935, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 8358, 1083, 623, 57177, 236779, 18308, 827, 623, 1516, 1083, 3714, 80040, 1083, 78493, 547, 1083, 623, 21326, 236770, 236771, 236771, 236778, 827, 623, 200549, 236779, 193319, 1083, 3714, 47328, 236779, 31700, 1083, 623, 236770, 236778, 236810, 236786, 236828, 236771, 133207, 827, 623, 20287, 236779, 4720, 1083, 623, 236832, 236778, 176162, 827, 623, 45367, 28485, 1083, 623, 236770, 236828, 236810, 12124, 236786, 109370, 23179, 623, 47328, 236779, 29429, 1083, 3714, 236754, 15967, 1083, 623, 236810, 236778, 12124, 236786, 109370, 827, 623, 671, 236752, 1083, 623, 236770, 236770, 236771, 12124, 236786, 109370, 827, 623, 1168, 554, 67097, 1949, 1083, 623, 236819, 236810, 12124, 236786, 109370, 23179, 623, 124977, 236779, 88933, 1083, 3714, 32136, 236779, 47328, 236779, 31700, 1083, 623, 236770, 236812, 236771, 236786, 236828, 236828, 133207, 827, 623, 32136, 236779, 45367, 28485, 1083, 623, 236778, 236770, 236771, 12124, 236786, 109370, 827, 623, 105674, 236779, 45972, 1083, 623, 236800, 3794, 236775, 5237, 3714, 547, 1083, 623, 21326, 236770, 236771, 236771, 236832, 827, 623, 200549, 236779, 193319, 1083, 3714, 47328, 236779, 31700, 1083, 623, 236770, 236778, 236828, 236786, 236828, 236778, 133207, 827, 623, 20287, 236779, 4720, 1083, 623, 236825, 236828, 176162, 827, 623, 45367, 28485, 1083, 623, 236770, 236832, 236828, 12124, 236786, 109370, 23179, 623, 47328, 236779, 29429, 1083, 3714, 236754, 15967, 1083, 623, 236812, 236828, 12124, 236786, 109370, 827, 623, 671, 236752, 1083, 623, 236770, 236771, 236778, 12124, 236786, 109370, 827, 623, 1168, 554, 67097, 1949, 1083, 623, 236828, 236828, 12124, 236786, 109370, 23179, 623, 124977, 236779, 88933, 1083, 3714, 32136, 236779, 47328, 236779, 31700, 1083, 623, 236770, 236812, 236778, 236786, 236819, 236771, 133207, 827, 623, 32136, 236779, 45367, 28485, 1083, 623, 236778, 236770, 236810, 12124, 236786, 109370, 827, 623, 105674, 236779, 45972, 1083, 623, 236812, 3794, 127096, 1604, 623, 6011, 1083, 3714, 6725, 236779, 25541, 1083, 236743, 236778, 236764, 623, 28128, 236779, 45367, 28485, 236779, 65967, 1083, 623, 236778, 236778, 236761, 236810, 12124, 236786, 109370, 827, 623, 47328, 236779, 31700, 236779, 105674, 1083, 623, 236770, 236778, 236761, 236800, 70887, 623, 1516, 236779, 23735, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236770, 531, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236770, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 18844, 529, 506, 6213, 11734, 1262, 52236, 573, 822, 21912, 31882, 6951, 22765, 528, 506, 2404, 17358, 236787, 108, 1018, 3503, 99652, 53121, 107, 236770, 236761, 5213, 9789, 31591, 54550, 1018, 568, 3243, 236743, 236810, 3328, 6951, 6418, 49022, 5609, 1473, 107, 139, 236772, 5213, 21326, 236770, 236771, 236771, 236778, 1018, 568, 236800, 236810, 236764, 236743, 236800, 1518, 40895, 1473, 20909, 4204, 72565, 699, 236743, 236770, 236812, 236771, 236786, 236828, 236828, 531, 236743, 236770, 236778, 236810, 236786, 236828, 236771, 133207, 568, 236800, 236772, 11283, 34315, 236768, 107, 139, 236772, 5213, 21326, 236770, 236771, 236771, 236810, 1018, 568, 236812, 236778, 236764, 236743, 236812, 1518, 40895, 1473, 189806, 72565, 699, 236743, 236778, 236778, 236810, 531, 236743, 236770, 236819, 236771, 12124, 236786, 109370, 568, 236825, 236772, 11283, 34315, 236768, 107, 139, 236772, 5213, 21326, 236770, 236771, 236771, 236832, 1018, 568, 236812, 236778, 236764, 236743, 236812, 1518, 40895, 1473, 120376, 72565, 699, 236743, 236770, 236812, 236778, 236786, 236819, 236771, 531, 236743, 236770, 236778, 236828, 236786, 236828, 236778, 133207, 568, 236812, 236772, 11283, 34315, 236768, 107, 139, 236772, 5213, 21326, 236770, 236771, 236770, 236771, 1018, 568, 4348, 528, 4068, 2536, 840, 8601, 528, 4806, 2025, 1473, 189806, 657, 236743, 236770, 236828, 236810, 12124, 236786, 109370, 607, 12567, 132099, 568, 236810, 236810, 12124, 236786, 109370, 236768, 107, 139, 236772, 5213, 21326, 236770, 236771, 236770, 236800, 1018, 568, 2100, 22600, 753, 711, 1765, 528, 1873, 2536, 236768, 108, 236778, 236761, 5213, 52544, 102853, 899, 616, 53121, 107, 139, 236772, 29748, 36142, 9095, 236787, 236743, 236778, 236778, 236761, 236810, 12124, 236786, 109370, 568, 91339, 236743, 236778, 236770, 236771, 16130, 1873, 236743, 236770, 236828, 236832, 236761, 236810, 12124, 236786, 109370, 236768, 107, 139, 236772, 184445, 67097, 1949, 9806, 684, 236743, 236778, 236771, 236772, 236800, 236771, 236908, 3418, 11383, 107, 139, 236772, 74013, 44194, 568, 236778, 236825, 236761, 236770, 16130, 236743, 236778, 236812, 236761, 236778, 4398, 236768, 108, 236800, 236761, 5213, 100368, 36520, 53121, 107, 139, 236772, 2343, 11383, 6418, 9958, 11531, 1024, 236743, 236800, 236772, 236825, 2297, 13443, 107, 139, 236772, 20909, 4204, 15955, 45583, 699, 236743, 236770, 236778, 236772, 236770, 236810, 236908, 9095, 528, 95060, 37297, 108, 1018, 201430, 53121, 107, 236770, 236761, 41696, 19276, 3671, 529, 16169, 236770, 236771, 236770, 236800, 236789, 236751, 9724, 8735, 107, 236778, 236761, 14066, 25731, 506, 1948, 531, 31882, 6951, 607, 3361, 20183, 107, 236800, 236761, 26295, 16169, 236770, 236771, 236771, 236832, 236789, 236751, 7245, 120376, 11531, 33744, 108, 38786, 611, 1133, 786, 531, 8729, 151289, 22020, 29645, 7728, 1873, 19455, 236764, 653, 9279, 18090, 17141, 529, 1239, 15955, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 1624, 13803, 496, 30254, 13957, 12158, 7610, 8172, 3418, 5065, 11514, 4808, 236761, 564, 236789, 560, 2506, 496, 1694, 529, 50935, 4945, 699, 77365, 12809, 531, 11411, 4699, 528, 9405, 236764, 7001, 236764, 532, 11702, 600, 564, 1202, 44526, 84549, 236761, 669, 4945, 659, 236787, 4216, 236778, 236832, 236825, 236812, 236810, 236778, 236770, 236828, 236832, 236764, 18309, 236770, 236812, 236800, 236800, 236828, 236770, 236771, 236810, 236825, 236771, 236828, 236764, 532, 9053, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236761, 3199, 611, 1161, 506, 50935, 18256, 9299, 531, 2426, 910, 6518, 28100, 236764, 9128, 506, 2891, 17253, 236764, 532, 8430, 1027, 4767, 28436, 1133, 2544, 5618, 653, 19246, 236881, 1174, 3548, 531, 577, 31044, 528, 496, 10434, 2495, 573, 1023, 1624, 2129, 236761, 564, 236789, 859, 992, 1202, 531, 1281, 768, 1027, 529, 1239, 4945, 4241, 506, 623, 236806, 1204, 236775, 6518, 1456, 528, 506, 23933, 236764, 1581, 768, 901, 236789, 500, 699, 1032, 11514, 5022, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236764, 623, 14801, 236779, 3970, 1083, 623, 4070, 827, 623, 21052, 1083, 3714, 25385, 236779, 1201, 1083, 623, 12703, 43456, 827, 623, 7720, 1083, 623, 23720, 54263, 21875, 236785, 236756, 236771, 236771, 149051, 236743, 236770, 236778, 236800, 236764, 15687, 236764, 9405, 827, 623, 30483, 236779, 5939, 1083, 623, 4070, 6641, 684, 236743, 236819, 26798, 827, 623, 3077, 236779, 5939, 236779, 10480, 1083, 2416, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 4730, 236779, 5939, 1083, 1847, 236764, 623, 14801, 236779, 3970, 1083, 623, 11869, 827, 623, 21052, 1083, 3714, 1201, 1083, 623, 103165, 236798, 112811, 236777, 236785, 236756, 236771, 236771, 236755, 236828, 1357, 72433, 29386, 11490, 827, 623, 7720, 1083, 623, 236812, 236810, 630, 4708, 4216, 167825, 236764, 236743, 236832, 236810, 236771, 236771, 236771, 167825, 827, 623, 4256, 236779, 67161, 1083, 623, 236770, 236812, 827, 623, 236751, 29475, 1083, 623, 236800, 236800, 236828, 236770, 236771, 236810, 236825, 236771, 236828, 23179, 623, 511, 236779, 3077, 236779, 5939, 1083, 2416, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 4730, 236779, 5939, 1083, 1847, 236764, 623, 14801, 236779, 3970, 1083, 623, 1768, 827, 623, 21052, 1083, 3714, 25385, 236779, 1201, 1083, 623, 12703, 555, 236761, 236750, 236761, 236752, 10498, 623, 7720, 1083, 623, 66170, 30551, 236743, 236770, 236778, 236800, 236764, 30551, 236764, 11702, 827, 623, 21862, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 23184, 1083, 3714, 236806, 1204, 236779, 5939, 236779, 10480, 1083, 2416, 236764, 623, 14801, 236779, 15396, 236779, 3906, 1083, 623, 64835, 50935, 4945, 11082, 1502, 607, 756, 1768, 236789, 6641, 684, 236743, 236770, 236770, 142585, 7579, 236761, 1174, 1548, 127805, 531, 506, 6518, 840, 7087, 3342, 28250, 573, 58542, 1781, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 31044, 18256, 2536, 573, 506, 50935, 4945, 236787, 108, 2717, 3723, 107, 236782, 107, 138, 236775, 21862, 236779, 12103, 1083, 870, 107, 140, 236782, 107, 142, 236775, 30483, 236779, 5640, 1083, 623, 4070, 236778, 236832, 236825, 236812, 236810, 236778, 236770, 236828, 236832, 827, 107, 142, 236775, 4730, 1083, 1847, 236764, 107, 142, 236775, 14801, 236779, 3970, 1083, 623, 4070, 827, 107, 142, 236775, 21052, 1083, 642, 107, 144, 236775, 25385, 236779, 1201, 1083, 623, 12703, 43456, 827, 107, 144, 236775, 7720, 1083, 623, 23720, 54263, 80176, 236743, 236770, 236778, 236800, 236764, 15687, 236764, 9405, 827, 107, 144, 236775, 30483, 236779, 5939, 1083, 623, 4070, 6641, 684, 236743, 236819, 26798, 236775, 107, 142, 1263, 107, 142, 236775, 3077, 236779, 5939, 236779, 10480, 1083, 2416, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 30483, 236779, 5640, 1083, 623, 11869, 236770, 236812, 236800, 236800, 236828, 236770, 236771, 236810, 236825, 236771, 236828, 827, 107, 142, 236775, 4730, 1083, 1847, 236764, 107, 142, 236775, 14801, 236779, 3970, 1083, 623, 11869, 827, 107, 142, 236775, 21052, 1083, 642, 107, 144, 236775, 1201, 1083, 623, 103165, 236798, 112811, 236777, 161145, 72433, 29386, 11490, 827, 107, 144, 236775, 7720, 1083, 623, 236812, 236810, 630, 4708, 4216, 167825, 236764, 236743, 236832, 236810, 236771, 236771, 236771, 167825, 827, 107, 144, 236775, 4256, 236779, 67161, 1083, 623, 236770, 236812, 827, 107, 144, 236775, 236751, 29475, 1083, 623, 236800, 236800, 236828, 236770, 236771, 236810, 236825, 236771, 236828, 236775, 107, 142, 1263, 107, 142, 236775, 3077, 236779, 5939, 236779, 10480, 1083, 2416, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 30483, 236779, 5640, 1083, 623, 1768, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 107, 142, 236775, 4730, 1083, 1847, 236764, 107, 142, 236775, 14801, 236779, 3970, 1083, 623, 1768, 827, 107, 142, 236775, 21052, 1083, 642, 107, 144, 236775, 25385, 236779, 1201, 1083, 623, 12703, 555, 236761, 236750, 236761, 236752, 10498, 107, 144, 236775, 7720, 1083, 623, 66170, 30551, 236743, 236770, 236778, 236800, 236764, 30551, 236764, 11702, 827, 107, 144, 236775, 21862, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 236775, 107, 142, 1263, 107, 142, 236775, 3077, 236779, 5939, 236779, 10480, 1083, 2416, 236764, 107, 142, 236775, 23184, 1083, 623, 64835, 50935, 4945, 11082, 1502, 607, 756, 1768, 236789, 6641, 684, 236743, 236770, 236770, 142585, 7579, 236761, 1174, 1548, 127805, 531, 506, 6518, 840, 7087, 3342, 28250, 573, 58542, 1781, 107, 140, 236783, 107, 138, 1604, 107, 138, 236775, 3077, 236779, 5939, 236779, 6011, 1083, 642, 107, 140, 236775, 1309, 236779, 25541, 1083, 2416, 236764, 107, 140, 236775, 48977, 236779, 34488, 1083, 2977, 107, 138, 236783, 107, 236783, 107, 2717, 108, 3503, 12396, 236787, 107, 236770, 236761, 2343, 1806, 50935, 4945, 6915, 6518, 18256, 573, 910, 15941, 4808, 107, 236778, 236761, 2301, 12853, 1765, 607, 506, 23196, 708, 1204, 6518, 568, 7650, 7087, 236743, 236770, 236778, 7579, 6250, 607, 51900, 6641, 684, 236743, 236819, 26798, 532, 236743, 236778, 11739, 236768, 107, 236800, 236761, 669, 12896, 50935, 1548, 568, 1768, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236768, 7087, 4767, 58542, 28250, 9785, 4341, 6518, 107, 236812, 236761, 2343, 28436, 7412, 9958, 607, 4077, 2891, 236772, 15396, 27857, 108, 2094, 10434, 3904, 740, 577, 5467, 25985, 1131, 1624, 3997, 3797, 573, 3342, 10622, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 1624, 13803, 496, 30254, 13957, 12158, 7610, 8172, 3418, 5065, 11514, 4808, 236761, 564, 236789, 560, 2506, 496, 1694, 529, 50935, 4945, 699, 77365, 12809, 531, 11411, 4699, 528, 9405, 236764, 7001, 236764, 532, 11702, 600, 564, 1202, 44526, 84549, 236761, 669, 4945, 659, 236787, 4216, 236778, 236832, 236825, 236812, 236810, 236778, 236770, 236828, 236832, 236764, 18309, 236770, 236812, 236800, 236800, 236828, 236770, 236771, 236810, 236825, 236771, 236828, 236764, 532, 9053, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236761, 3199, 611, 1161, 506, 50935, 18256, 9299, 531, 2426, 910, 6518, 28100, 236764, 9128, 506, 2891, 17253, 236764, 532, 8430, 1027, 4767, 28436, 1133, 2544, 5618, 653, 19246, 236881, 1174, 3548, 531, 577, 31044, 528, 496, 10434, 2495, 573, 1023, 1624, 2129, 236761, 564, 236789, 859, 992, 1202, 531, 1281, 768, 1027, 529, 1239, 4945, 4241, 506, 623, 236806, 1204, 236775, 6518, 1456, 528, 506, 23933, 236764, 1581, 768, 901, 236789, 500, 699, 1032, 11514, 5022, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236764, 623, 14801, 236779, 3970, 1083, 623, 4070, 827, 623, 21052, 1083, 3714, 25385, 236779, 1201, 1083, 623, 12703, 43456, 827, 623, 7720, 1083, 623, 23720, 54263, 21875, 236785, 236756, 236771, 236771, 149051, 236743, 236770, 236778, 236800, 236764, 15687, 236764, 9405, 827, 623, 30483, 236779, 5939, 1083, 623, 4070, 6641, 684, 236743, 236819, 26798, 827, 623, 3077, 236779, 5939, 236779, 10480, 1083, 2416, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 4730, 236779, 5939, 1083, 1847, 236764, 623, 14801, 236779, 3970, 1083, 623, 11869, 827, 623, 21052, 1083, 3714, 1201, 1083, 623, 103165, 236798, 112811, 236777, 236785, 236756, 236771, 236771, 236755, 236828, 1357, 72433, 29386, 11490, 827, 623, 7720, 1083, 623, 236812, 236810, 630, 4708, 4216, 167825, 236764, 236743, 236832, 236810, 236771, 236771, 236771, 167825, 827, 623, 4256, 236779, 67161, 1083, 623, 236770, 236812, 827, 623, 236751, 29475, 1083, 623, 236800, 236800, 236828, 236770, 236771, 236810, 236825, 236771, 236828, 23179, 623, 511, 236779, 3077, 236779, 5939, 1083, 2416, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 4730, 236779, 5939, 1083, 1847, 236764, 623, 14801, 236779, 3970, 1083, 623, 1768, 827, 623, 21052, 1083, 3714, 25385, 236779, 1201, 1083, 623, 12703, 555, 236761, 236750, 236761, 236752, 10498, 623, 7720, 1083, 623, 66170, 30551, 236743, 236770, 236778, 236800, 236764, 30551, 236764, 11702, 827, 623, 21862, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 23184, 1083, 3714, 236806, 1204, 236779, 5939, 236779, 10480, 1083, 2416, 236764, 623, 14801, 236779, 15396, 236779, 3906, 1083, 623, 64835, 50935, 4945, 11082, 1502, 607, 756, 1768, 236789, 6641, 684, 236743, 236770, 236770, 142585, 7579, 236761, 1174, 1548, 127805, 531, 506, 6518, 840, 7087, 3342, 28250, 573, 58542, 1781, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 31044, 18256, 2536, 573, 506, 50935, 4945, 236787, 108, 2717, 3723, 107, 236782, 107, 138, 236775, 21862, 236779, 12103, 1083, 870, 107, 140, 236782, 107, 142, 236775, 30483, 236779, 5640, 1083, 623, 4070, 236778, 236832, 236825, 236812, 236810, 236778, 236770, 236828, 236832, 827, 107, 142, 236775, 4730, 1083, 1847, 236764, 107, 142, 236775, 14801, 236779, 3970, 1083, 623, 4070, 827, 107, 142, 236775, 21052, 1083, 642, 107, 144, 236775, 25385, 236779, 1201, 1083, 623, 12703, 43456, 827, 107, 144, 236775, 7720, 1083, 623, 23720, 54263, 80176, 236743, 236770, 236778, 236800, 236764, 15687, 236764, 9405, 827, 107, 144, 236775, 30483, 236779, 5939, 1083, 623, 4070, 6641, 684, 236743, 236819, 26798, 236775, 107, 142, 1263, 107, 142, 236775, 3077, 236779, 5939, 236779, 10480, 1083, 2416, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 30483, 236779, 5640, 1083, 623, 11869, 236770, 236812, 236800, 236800, 236828, 236770, 236771, 236810, 236825, 236771, 236828, 827, 107, 142, 236775, 4730, 1083, 1847, 236764, 107, 142, 236775, 14801, 236779, 3970, 1083, 623, 11869, 827, 107, 142, 236775, 21052, 1083, 642, 107, 144, 236775, 1201, 1083, 623, 103165, 236798, 112811, 236777, 161145, 72433, 29386, 11490, 827, 107, 144, 236775, 7720, 1083, 623, 236812, 236810, 630, 4708, 4216, 167825, 236764, 236743, 236832, 236810, 236771, 236771, 236771, 167825, 827, 107, 144, 236775, 4256, 236779, 67161, 1083, 623, 236770, 236812, 827, 107, 144, 236775, 236751, 29475, 1083, 623, 236800, 236800, 236828, 236770, 236771, 236810, 236825, 236771, 236828, 236775, 107, 142, 1263, 107, 142, 236775, 3077, 236779, 5939, 236779, 10480, 1083, 2416, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 30483, 236779, 5640, 1083, 623, 1768, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 107, 142, 236775, 4730, 1083, 1847, 236764, 107, 142, 236775, 14801, 236779, 3970, 1083, 623, 1768, 827, 107, 142, 236775, 21052, 1083, 642, 107, 144, 236775, 25385, 236779, 1201, 1083, 623, 12703, 555, 236761, 236750, 236761, 236752, 10498, 107, 144, 236775, 7720, 1083, 623, 66170, 30551, 236743, 236770, 236778, 236800, 236764, 30551, 236764, 11702, 827, 107, 144, 236775, 21862, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 236775, 107, 142, 1263, 107, 142, 236775, 3077, 236779, 5939, 236779, 10480, 1083, 2416, 236764, 107, 142, 236775, 23184, 1083, 623, 64835, 50935, 4945, 11082, 1502, 607, 756, 1768, 236789, 6641, 684, 236743, 236770, 236770, 142585, 7579, 236761, 1174, 1548, 127805, 531, 506, 6518, 840, 7087, 3342, 28250, 573, 58542, 1781, 107, 140, 236783, 107, 138, 1604, 107, 138, 236775, 3077, 236779, 5939, 236779, 6011, 1083, 642, 107, 140, 236775, 1309, 236779, 25541, 1083, 2416, 236764, 107, 140, 236775, 48977, 236779, 34488, 1083, 2977, 107, 138, 236783, 107, 236783, 107, 2717, 108, 3503, 12396, 236787, 107, 236770, 236761, 2343, 1806, 50935, 4945, 6915, 6518, 18256, 573, 910, 15941, 4808, 107, 236778, 236761, 2301, 12853, 1765, 607, 506, 23196, 708, 1204, 6518, 568, 7650, 7087, 236743, 236770, 236778, 7579, 6250, 607, 51900, 6641, 684, 236743, 236819, 26798, 532, 236743, 236778, 11739, 236768, 107, 236800, 236761, 669, 12896, 50935, 1548, 568, 1768, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236768, 7087, 4767, 58542, 28250, 9785, 4341, 6518, 107, 236812, 236761, 2343, 28436, 7412, 9958, 607, 4077, 2891, 236772, 15396, 27857, 108, 2094, 10434, 3904, 740, 577, 5467, 25985, 1131, 1624, 3997, 3797, 573, 3342, 10622, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 1502, 496, 3399, 7972, 528, 4811, 15235, 236764, 840, 564, 1202, 1601, 8159, 2263, 5405, 236761, 3199, 611, 3927, 573, 14942, 49115, 11936, 600, 6739, 10293, 9295, 532, 8675, 4086, 34332, 236881, 6890, 506, 808, 4114, 236779, 69344, 236779, 6457, 236829, 5904, 607, 623, 34791, 49115, 14767, 236775, 618, 506, 7609, 532, 1041, 4563, 618, 4811, 15235, 236764, 23639, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6457, 236779, 1201, 1083, 623, 10271, 15235, 37330, 19871, 6022, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 7086, 116030, 25692, 236764, 4811, 15235, 236764, 23639, 236743, 236800, 236771, 236770, 236771, 236778, 827, 623, 17178, 236779, 100403, 1083, 236743, 236810, 236761, 236778, 236764, 623, 46589, 1083, 11058, 34791, 9295, 827, 623, 86798, 4086, 34332, 827, 623, 854, 3274, 827, 623, 9181, 236772, 227382, 15003, 14255, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236832, 236832, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 24392, 1083, 623, 10505, 236772, 45533, 236743, 236819, 1936, 236772, 236825, 10192, 236764, 7718, 236743, 236770, 236771, 1936, 236772, 236812, 10192, 23179, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 116501, 236779, 2883, 1083, 623, 2574, 1411, 26233, 236761, 7239, 236761, 854, 23438, 236753, 18258, 236784, 236770, 236778, 236800, 236862, 17224, 236862, 111524, 236862, 72795, 236862, 10271, 15235, 236862, 10032, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 24119, 4762, 600, 12853, 822, 3548, 236787, 108, 1018, 10271, 15235, 37330, 19871, 6022, 1018, 138, 107, 244343, 15874, 236787, 236743, 236770, 236778, 236800, 7086, 116030, 25692, 236764, 4811, 15235, 236764, 23639, 236743, 236800, 236771, 236770, 236771, 236778, 138, 107, 254868, 46783, 236787, 236743, 236810, 236761, 236778, 7635, 699, 822, 4563, 138, 107, 242980, 52761, 236787, 138, 107, 236772, 37330, 9295, 138, 107, 236772, 123434, 4086, 34332, 138, 107, 236772, 176240, 138, 107, 236772, 10645, 236772, 227382, 15003, 138, 108, 246080, 13948, 236787, 138, 107, 236772, 23386, 236787, 568, 236832, 236832, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 138, 107, 236772, 35174, 236787, 4325, 236772, 45533, 236743, 236819, 1936, 236772, 236825, 10192, 236764, 7718, 236743, 236770, 236771, 1936, 236772, 236812, 10192, 138, 107, 240281, 47240, 236787, 236743, 236812, 236761, 236832, 236786, 236810, 138, 108, 236840, 3407, 15232, 5457, 2574, 1411, 26233, 236761, 7239, 236761, 854, 23438, 236753, 18258, 236784, 236770, 236778, 236800, 236862, 17224, 236862, 111524, 236862, 72795, 236862, 10271, 15235, 236862, 10032, 236768, 138, 108, 38786, 611, 1133, 786, 531, 2426, 573, 4767, 11936, 653, 5405, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 8159, 506, 7972, 3988, 236888, 4224, 600, 564, 735, 496, 2263, 3738, 573, 14767, 236764, 564, 236858, 236753, 1133, 531, 2958, 1791, 10154, 573, 3399, 26318, 236761, 28344, 611, 3927, 506, 808, 4199, 3773, 11922, 236829, 573, 4803, 10308, 568, 42098, 236743, 236778, 1518, 236768, 1003, 6595, 3399, 49115, 19898, 528, 54548, 4106, 236881, 6890, 506, 808, 24948, 3531, 236779, 3723, 236829, 5904, 607, 30154, 1133, 623, 37939, 7972, 2098, 623, 2204, 8819, 49115, 2098, 532, 623, 185529, 49115, 5699, 1781, 36702, 1091, 684, 36787, 532, 3204, 506, 1903, 236743, 236810, 2536, 607, 92681, 236761, 564, 236858, 236753, 2765, 531, 3449, 699, 3496, 236858, 9871, 1680, 201585, 1041, 6614, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6275, 1083, 3714, 16546, 1083, 78493, 94156, 1083, 623, 3910, 148320, 11493, 36667, 9354, 12447, 59100, 27618, 827, 623, 5166, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236770, 236771, 236786, 236770, 236810, 236786, 45737, 3999, 236786, 37939, 236772, 45737, 832, 236772, 2204, 45091, 236761, 3185, 827, 623, 13066, 1083, 623, 4663, 1799, 15766, 531, 7151, 236764, 54548, 41916, 659, 1699, 24564, 236772, 27612, 26318, 531, 2016, 2777, 23948, 532, 3421, 2780, 67725, 10498, 623, 9430, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 94156, 1083, 623, 115232, 37747, 33438, 528, 133582, 148320, 63034, 827, 623, 5166, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236819, 236786, 236778, 236828, 236786, 45737, 3999, 236786, 2204, 8819, 236772, 45312, 236772, 26984, 236761, 3185, 827, 623, 13066, 1083, 623, 59439, 638, 10163, 532, 2528, 15631, 27840, 3291, 55438, 3826, 9952, 1343, 33000, 1534, 10465, 532, 2263, 17882, 10498, 623, 9430, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236828, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 94156, 1083, 623, 218799, 19871, 616, 32526, 148320, 210747, 827, 623, 5166, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236828, 236786, 236778, 236778, 236786, 45737, 3999, 236786, 185529, 236772, 45737, 3999, 236772, 26984, 236761, 3185, 827, 623, 13066, 1083, 623, 236776, 19902, 528, 54548, 49115, 19898, 3831, 1217, 19399, 4514, 740, 7352, 1208, 3456, 4106, 1131, 23904, 3399, 10091, 10498, 623, 9430, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 94156, 1083, 623, 46640, 36667, 12774, 37081, 528, 148320, 4930, 46814, 827, 623, 5166, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236832, 236786, 236770, 236778, 236786, 45737, 3999, 236786, 13858, 15631, 236772, 45737, 832, 236761, 3185, 827, 623, 13066, 1083, 623, 32343, 3287, 532, 6296, 41049, 580, 49115, 5699, 600, 3786, 24488, 1651, 19020, 2263, 2780, 11196, 10498, 623, 9430, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236770, 236778, 236774, 236770, 236770, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 94156, 1083, 623, 818, 53474, 529, 148320, 756, 11746, 1193, 5553, 19871, 616, 75334, 623, 5166, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236825, 236786, 236771, 236810, 236786, 45737, 3999, 236786, 5025, 1193, 5553, 236772, 45737, 3999, 236761, 3185, 827, 623, 13066, 1083, 623, 82433, 27559, 49115, 4402, 659, 204303, 54548, 57878, 607, 14169, 236772, 5140, 135582, 600, 14838, 3399, 22986, 10498, 623, 9430, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236771, 236810, 236774, 236770, 236825, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 236775, 15947, 1807, 106, 107, 105, 4368, 107, 8291, 659, 236743, 236810, 4803, 1799, 3773, 11922, 10308, 1003, 54548, 3399, 49115, 19898, 236787, 108, 236770, 236761, 5213, 236840, 3910, 148320, 11493, 36667, 9354, 12447, 59100, 27618, 5457, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236770, 236771, 236786, 236770, 236810, 236786, 45737, 3999, 236786, 37939, 236772, 45737, 832, 236772, 2204, 45091, 236761, 3185, 62902, 138, 107, 139, 236829, 45028, 4905, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236829, 138, 107, 139, 126115, 24564, 236772, 27612, 26318, 25963, 2780, 67725, 532, 3788, 2777, 23948, 528, 56721, 699, 1799, 15766, 531, 7151, 236761, 108, 236778, 236761, 5213, 236840, 115232, 37747, 33438, 528, 133582, 148320, 63034, 5457, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236819, 236786, 236778, 236828, 236786, 45737, 3999, 236786, 2204, 8819, 236772, 45312, 236772, 26984, 236761, 3185, 62902, 138, 107, 139, 236829, 45028, 5110, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236800, 236829, 138, 107, 139, 20647, 2985, 33000, 35322, 49781, 10163, 532, 2528, 46814, 1131, 3826, 9952, 1343, 10704, 236772, 36379, 13859, 236761, 108, 236800, 236761, 5213, 236840, 218799, 19871, 616, 32526, 148320, 210747, 5457, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236828, 236786, 236778, 236778, 236786, 45737, 3999, 236786, 185529, 236772, 45737, 3999, 236772, 26984, 236761, 3185, 62902, 138, 107, 139, 236829, 45028, 4655, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236829, 138, 107, 139, 9473, 19399, 7880, 13805, 1208, 3456, 4106, 1131, 23904, 3399, 10091, 1133, 88341, 1277, 26318, 532, 118791, 236761, 108, 236812, 236761, 5213, 236840, 46640, 36667, 12774, 37081, 528, 148320, 4930, 46814, 5457, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236832, 236786, 236770, 236778, 236786, 45737, 3999, 236786, 13858, 15631, 236772, 45737, 832, 236761, 3185, 62902, 138, 107, 139, 236829, 45028, 5505, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236829, 138, 107, 139, 220169, 3724, 236772, 29092, 1277, 67529, 10299, 24488, 1651, 46372, 2780, 11196, 607, 5756, 6360, 236761, 108, 236810, 236761, 5213, 236840, 818, 53474, 529, 148320, 756, 11746, 1193, 5553, 19871, 616, 2000, 236769, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236825, 236786, 236771, 236810, 236786, 45737, 3999, 236786, 5025, 1193, 5553, 236772, 45737, 3999, 236761, 3185, 62902, 138, 107, 139, 236829, 45028, 5142, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236829, 138, 107, 139, 1683, 61151, 97597, 4402, 204303, 54548, 57878, 1343, 9578, 236764, 14169, 236772, 5140, 135582, 600, 14838, 3399, 22986, 236761, 108, 9208, 10308, 2890, 14549, 4681, 573, 15154, 236764, 33000, 236764, 532, 2557, 30846, 236761, 21284, 611, 1133, 786, 531, 33205, 3530, 4889, 699, 1027, 529, 1239, 10308, 653, 11327, 4767, 14050, 1133, 11213, 11298, 653, 68420, 12159, 236881, 106, 107, 105, 2364, 107, 6372, 236858, 236751, 14853, 236888, 669, 10308, 5877, 786, 1822, 6549, 236764, 4285, 506, 5906, 1003, 2528, 15631, 26318, 532, 24564, 33000, 236761, 4224, 564, 1202, 531, 5811, 855, 1217, 531, 974, 3931, 16445, 236761, 28344, 611, 1161, 506, 5213, 7125, 1018, 5904, 531, 1586, 3662, 1938, 573, 4811, 15235, 236858, 236751, 3207, 6995, 7920, 653, 2263, 15078, 9980, 4408, 236881, 2195, 236858, 236753, 4547, 735, 4889, 580, 68420, 12159, 236764, 22779, 236764, 532, 3399, 33000, 573, 49115, 5699, 236761, 5393, 3927, 573, 999, 10271, 15235, 236764, 23639, 236919, 532, 5957, 573, 3251, 653, 15078, 5405, 236761, 564, 236858, 236753, 2765, 531, 5370, 855, 531, 1091, 2148, 236888, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 5467, 33205, 1873, 3251, 653, 15078, 4408, 3662, 1938, 573, 4811, 15235, 236764, 23639, 236761, 3153, 236764, 564, 740, 3600, 236787, 108, 236770, 236761, 108933, 4811, 15235, 236789, 236751, 5125, 3207, 4456, 568, 2769, 236761, 552, 15235, 236761, 2187, 236768, 532, 16329, 910, 623, 139089, 236775, 653, 623, 84460, 833, 173663, 236775, 10458, 107, 236778, 236761, 13948, 522, 506, 77179, 5796, 29570, 38580, 7816, 657, 568, 236832, 236832, 236771, 236768, 236743, 236819, 236778, 236828, 236772, 236812, 236825, 236810, 236771, 568, 59026, 70093, 5796, 83013, 38580, 1804, 236768, 107, 236800, 236761, 1276, 12057, 855, 531, 506, 4811, 15235, 7449, 8096, 573, 2263, 11403, 13792, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 614, 4553, 7930, 531, 3662, 1239, 2263, 11787, 1003, 822, 3399, 7972, 6614, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 1502, 496, 3399, 7972, 528, 4811, 15235, 236764, 840, 564, 1202, 1601, 8159, 2263, 5405, 236761, 3199, 611, 3927, 573, 14942, 49115, 11936, 600, 6739, 10293, 9295, 532, 8675, 4086, 34332, 236881, 6890, 506, 808, 4114, 236779, 69344, 236779, 6457, 236829, 5904, 607, 623, 34791, 49115, 14767, 236775, 618, 506, 7609, 532, 1041, 4563, 618, 4811, 15235, 236764, 23639, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6457, 236779, 1201, 1083, 623, 10271, 15235, 37330, 19871, 6022, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 7086, 116030, 25692, 236764, 4811, 15235, 236764, 23639, 236743, 236800, 236771, 236770, 236771, 236778, 827, 623, 17178, 236779, 100403, 1083, 236743, 236810, 236761, 236778, 236764, 623, 46589, 1083, 11058, 34791, 9295, 827, 623, 86798, 4086, 34332, 827, 623, 854, 3274, 827, 623, 9181, 236772, 227382, 15003, 14255, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236832, 236832, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 24392, 1083, 623, 10505, 236772, 45533, 236743, 236819, 1936, 236772, 236825, 10192, 236764, 7718, 236743, 236770, 236771, 1936, 236772, 236812, 10192, 23179, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 116501, 236779, 2883, 1083, 623, 2574, 1411, 26233, 236761, 7239, 236761, 854, 23438, 236753, 18258, 236784, 236770, 236778, 236800, 236862, 17224, 236862, 111524, 236862, 72795, 236862, 10271, 15235, 236862, 10032, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 24119, 4762, 600, 12853, 822, 3548, 236787, 108, 1018, 10271, 15235, 37330, 19871, 6022, 1018, 138, 107, 244343, 15874, 236787, 236743, 236770, 236778, 236800, 7086, 116030, 25692, 236764, 4811, 15235, 236764, 23639, 236743, 236800, 236771, 236770, 236771, 236778, 138, 107, 254868, 46783, 236787, 236743, 236810, 236761, 236778, 7635, 699, 822, 4563, 138, 107, 242980, 52761, 236787, 138, 107, 236772, 37330, 9295, 138, 107, 236772, 123434, 4086, 34332, 138, 107, 236772, 176240, 138, 107, 236772, 10645, 236772, 227382, 15003, 138, 108, 246080, 13948, 236787, 138, 107, 236772, 23386, 236787, 568, 236832, 236832, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 138, 107, 236772, 35174, 236787, 4325, 236772, 45533, 236743, 236819, 1936, 236772, 236825, 10192, 236764, 7718, 236743, 236770, 236771, 1936, 236772, 236812, 10192, 138, 107, 240281, 47240, 236787, 236743, 236812, 236761, 236832, 236786, 236810, 138, 108, 236840, 3407, 15232, 5457, 2574, 1411, 26233, 236761, 7239, 236761, 854, 23438, 236753, 18258, 236784, 236770, 236778, 236800, 236862, 17224, 236862, 111524, 236862, 72795, 236862, 10271, 15235, 236862, 10032, 236768, 138, 108, 38786, 611, 1133, 786, 531, 2426, 573, 4767, 11936, 653, 5405, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 8159, 506, 7972, 3988, 236888, 4224, 600, 564, 735, 496, 2263, 3738, 573, 14767, 236764, 564, 236858, 236753, 1133, 531, 2958, 1791, 10154, 573, 3399, 26318, 236761, 28344, 611, 3927, 506, 808, 4199, 3773, 11922, 236829, 573, 4803, 10308, 568, 42098, 236743, 236778, 1518, 236768, 1003, 6595, 3399, 49115, 19898, 528, 54548, 4106, 236881, 6890, 506, 808, 24948, 3531, 236779, 3723, 236829, 5904, 607, 30154, 1133, 623, 37939, 7972, 2098, 623, 2204, 8819, 49115, 2098, 532, 623, 185529, 49115, 5699, 1781, 36702, 1091, 684, 36787, 532, 3204, 506, 1903, 236743, 236810, 2536, 607, 92681, 236761, 564, 236858, 236753, 2765, 531, 3449, 699, 3496, 236858, 9871, 1680, 201585, 1041, 6614, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6275, 1083, 3714, 16546, 1083, 78493, 94156, 1083, 623, 3910, 148320, 11493, 36667, 9354, 12447, 59100, 27618, 827, 623, 5166, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236770, 236771, 236786, 236770, 236810, 236786, 45737, 3999, 236786, 37939, 236772, 45737, 832, 236772, 2204, 45091, 236761, 3185, 827, 623, 13066, 1083, 623, 4663, 1799, 15766, 531, 7151, 236764, 54548, 41916, 659, 1699, 24564, 236772, 27612, 26318, 531, 2016, 2777, 23948, 532, 3421, 2780, 67725, 10498, 623, 9430, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 94156, 1083, 623, 115232, 37747, 33438, 528, 133582, 148320, 63034, 827, 623, 5166, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236819, 236786, 236778, 236828, 236786, 45737, 3999, 236786, 2204, 8819, 236772, 45312, 236772, 26984, 236761, 3185, 827, 623, 13066, 1083, 623, 59439, 638, 10163, 532, 2528, 15631, 27840, 3291, 55438, 3826, 9952, 1343, 33000, 1534, 10465, 532, 2263, 17882, 10498, 623, 9430, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236828, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 94156, 1083, 623, 218799, 19871, 616, 32526, 148320, 210747, 827, 623, 5166, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236828, 236786, 236778, 236778, 236786, 45737, 3999, 236786, 185529, 236772, 45737, 3999, 236772, 26984, 236761, 3185, 827, 623, 13066, 1083, 623, 236776, 19902, 528, 54548, 49115, 19898, 3831, 1217, 19399, 4514, 740, 7352, 1208, 3456, 4106, 1131, 23904, 3399, 10091, 10498, 623, 9430, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 94156, 1083, 623, 46640, 36667, 12774, 37081, 528, 148320, 4930, 46814, 827, 623, 5166, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236832, 236786, 236770, 236778, 236786, 45737, 3999, 236786, 13858, 15631, 236772, 45737, 832, 236761, 3185, 827, 623, 13066, 1083, 623, 32343, 3287, 532, 6296, 41049, 580, 49115, 5699, 600, 3786, 24488, 1651, 19020, 2263, 2780, 11196, 10498, 623, 9430, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236770, 236778, 236774, 236770, 236770, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 94156, 1083, 623, 818, 53474, 529, 148320, 756, 11746, 1193, 5553, 19871, 616, 75334, 623, 5166, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236825, 236786, 236771, 236810, 236786, 45737, 3999, 236786, 5025, 1193, 5553, 236772, 45737, 3999, 236761, 3185, 827, 623, 13066, 1083, 623, 82433, 27559, 49115, 4402, 659, 204303, 54548, 57878, 607, 14169, 236772, 5140, 135582, 600, 14838, 3399, 22986, 10498, 623, 9430, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236771, 236810, 236774, 236770, 236825, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 236775, 15947, 1807, 106, 107, 105, 4368, 107, 8291, 659, 236743, 236810, 4803, 1799, 3773, 11922, 10308, 1003, 54548, 3399, 49115, 19898, 236787, 108, 236770, 236761, 5213, 236840, 3910, 148320, 11493, 36667, 9354, 12447, 59100, 27618, 5457, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236770, 236771, 236786, 236770, 236810, 236786, 45737, 3999, 236786, 37939, 236772, 45737, 832, 236772, 2204, 45091, 236761, 3185, 62902, 138, 107, 139, 236829, 45028, 4905, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236829, 138, 107, 139, 126115, 24564, 236772, 27612, 26318, 25963, 2780, 67725, 532, 3788, 2777, 23948, 528, 56721, 699, 1799, 15766, 531, 7151, 236761, 108, 236778, 236761, 5213, 236840, 115232, 37747, 33438, 528, 133582, 148320, 63034, 5457, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236819, 236786, 236778, 236828, 236786, 45737, 3999, 236786, 2204, 8819, 236772, 45312, 236772, 26984, 236761, 3185, 62902, 138, 107, 139, 236829, 45028, 5110, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236800, 236829, 138, 107, 139, 20647, 2985, 33000, 35322, 49781, 10163, 532, 2528, 46814, 1131, 3826, 9952, 1343, 10704, 236772, 36379, 13859, 236761, 108, 236800, 236761, 5213, 236840, 218799, 19871, 616, 32526, 148320, 210747, 5457, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236828, 236786, 236778, 236778, 236786, 45737, 3999, 236786, 185529, 236772, 45737, 3999, 236772, 26984, 236761, 3185, 62902, 138, 107, 139, 236829, 45028, 4655, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236829, 138, 107, 139, 9473, 19399, 7880, 13805, 1208, 3456, 4106, 1131, 23904, 3399, 10091, 1133, 88341, 1277, 26318, 532, 118791, 236761, 108, 236812, 236761, 5213, 236840, 46640, 36667, 12774, 37081, 528, 148320, 4930, 46814, 5457, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236832, 236786, 236770, 236778, 236786, 45737, 3999, 236786, 13858, 15631, 236772, 45737, 832, 236761, 3185, 62902, 138, 107, 139, 236829, 45028, 5505, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236829, 138, 107, 139, 220169, 3724, 236772, 29092, 1277, 67529, 10299, 24488, 1651, 46372, 2780, 11196, 607, 5756, 6360, 236761, 108, 236810, 236761, 5213, 236840, 818, 53474, 529, 148320, 756, 11746, 1193, 5553, 19871, 616, 2000, 236769, 2574, 1411, 2769, 236761, 187702, 236761, 854, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236825, 236786, 236771, 236810, 236786, 45737, 3999, 236786, 5025, 1193, 5553, 236772, 45737, 3999, 236761, 3185, 62902, 138, 107, 139, 236829, 45028, 5142, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236829, 138, 107, 139, 1683, 61151, 97597, 4402, 204303, 54548, 57878, 1343, 9578, 236764, 14169, 236772, 5140, 135582, 600, 14838, 3399, 22986, 236761, 108, 9208, 10308, 2890, 14549, 4681, 573, 15154, 236764, 33000, 236764, 532, 2557, 30846, 236761, 21284, 611, 1133, 786, 531, 33205, 3530, 4889, 699, 1027, 529, 1239, 10308, 653, 11327, 4767, 14050, 1133, 11213, 11298, 653, 68420, 12159, 236881, 106, 107, 105, 2364, 107, 6372, 236858, 236751, 14853, 236888, 669, 10308, 5877, 786, 1822, 6549, 236764, 4285, 506, 5906, 1003, 2528, 15631, 26318, 532, 24564, 33000, 236761, 4224, 564, 1202, 531, 5811, 855, 1217, 531, 974, 3931, 16445, 236761, 28344, 611, 1161, 506, 5213, 7125, 1018, 5904, 531, 1586, 3662, 1938, 573, 4811, 15235, 236858, 236751, 3207, 6995, 7920, 653, 2263, 15078, 9980, 4408, 236881, 2195, 236858, 236753, 4547, 735, 4889, 580, 68420, 12159, 236764, 22779, 236764, 532, 3399, 33000, 573, 49115, 5699, 236761, 5393, 3927, 573, 999, 10271, 15235, 236764, 23639, 236919, 532, 5957, 573, 3251, 653, 15078, 5405, 236761, 564, 236858, 236753, 2765, 531, 5370, 855, 531, 1091, 2148, 236888, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 5467, 33205, 1873, 3251, 653, 15078, 4408, 3662, 1938, 573, 4811, 15235, 236764, 23639, 236761, 3153, 236764, 564, 740, 3600, 236787, 108, 236770, 236761, 108933, 4811, 15235, 236789, 236751, 5125, 3207, 4456, 568, 2769, 236761, 552, 15235, 236761, 2187, 236768, 532, 16329, 910, 623, 139089, 236775, 653, 623, 84460, 833, 173663, 236775, 10458, 107, 236778, 236761, 13948, 522, 506, 77179, 5796, 29570, 38580, 7816, 657, 568, 236832, 236832, 236771, 236768, 236743, 236819, 236778, 236828, 236772, 236812, 236825, 236810, 236771, 568, 59026, 70093, 5796, 83013, 38580, 1804, 236768, 107, 236800, 236761, 1276, 12057, 855, 531, 506, 4811, 15235, 7449, 8096, 573, 2263, 11403, 13792, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 614, 4553, 7930, 531, 3662, 1239, 2263, 11787, 1003, 822, 3399, 7972, 6614, 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, 11337, 23324, 528, 496, 10002, 2544, 532, 1461, 531, 2426, 910, 1873, 2862, 3385, 236761, 3199, 611, 1385, 872, 506, 6524, 2862, 1938, 573, 496, 2544, 2760, 110042, 236789, 236751, 236881, 564, 236789, 236757, 711, 7121, 2889, 1003, 506, 84390, 5404, 236764, 834, 1027, 1601, 611, 740, 2847, 1093, 577, 1822, 236761, 564, 236789, 236757, 4875, 531, 10769, 625, 607, 2264, 2544, 564, 1281, 496, 3103, 919, 1003, 236764, 840, 564, 1202, 672, 1171, 6347, 529, 8283, 531, 2827, 4448, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 236855, 22442, 236789, 236751, 14508, 827, 623, 64939, 1083, 623, 236855, 24084, 827, 623, 14973, 236779, 9707, 1083, 236743, 236810, 236778, 236761, 236800, 236812, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 16350, 236779, 5565, 1083, 623, 236828, 236761, 236819, 236799, 827, 623, 236810, 236778, 236779, 14808, 236779, 11480, 1083, 236743, 236825, 236812, 236761, 236828, 236819, 236764, 623, 236810, 236778, 236779, 14808, 236779, 976, 1083, 236743, 236812, 236770, 236761, 236832, 236810, 236764, 623, 57512, 1083, 623, 38168, 42897, 800, 827, 623, 78024, 1083, 623, 23567, 50994, 827, 623, 2834, 20770, 1083, 623, 22463, 109595, 236744, 23979, 236764, 23784, 236764, 8288, 827, 623, 80040, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236764, 623, 2478, 236779, 7778, 81011, 1083, 3714, 79797, 1083, 623, 100487, 562, 236761, 204921, 827, 623, 63460, 1083, 623, 114394, 630, 236761, 216672, 827, 623, 236780, 12041, 1083, 623, 38830, 27328, 14694, 23179, 623, 43852, 236779, 12959, 1083, 11058, 236935, 236778, 236743, 236778, 236771, 236778, 236812, 17785, 2072, 3831, 236743, 236810, 236908, 10471, 3877, 827, 623, 4199, 24488, 17358, 12073, 528, 236743, 236810, 236771, 236771, 11936, 14255, 623, 28263, 1083, 3714, 635, 236779, 28350, 1083, 236743, 236770, 236778, 236761, 236812, 236764, 623, 167648, 236779, 55747, 1083, 623, 236778, 236761, 236770, 70887, 623, 85038, 567, 1083, 623, 66639, 827, 623, 27388, 522, 1083, 623, 122926, 10002, 6219, 840, 13668, 545, 236772, 25351, 8105, 127096, 106, 107, 105, 4368, 107, 818, 6524, 2862, 1938, 573, 110042, 236789, 236751, 568, 2998, 21209, 5213, 236855, 22442, 236789, 236751, 14508, 125546, 84390, 236787, 5213, 236855, 24084, 119542, 563, 618, 5238, 236787, 108, 236772, 5213, 8782, 13827, 14584, 66515, 609, 236810, 236778, 236761, 236800, 236812, 568, 38556, 236768, 138, 107, 236772, 5213, 40219, 6395, 66515, 609, 236828, 236761, 236819, 7889, 138, 107, 236772, 5213, 164865, 66515, 32314, 42897, 800, 138, 107, 236772, 5213, 73939, 66515, 5570, 50994, 138, 107, 236772, 5213, 236810, 236778, 236772, 27962, 4819, 236786, 26834, 66515, 609, 236825, 236812, 236761, 236828, 236819, 965, 609, 236812, 236770, 236761, 236832, 236810, 138, 107, 236772, 5213, 236791, 236786, 236788, 66814, 66515, 236743, 236770, 236778, 236761, 236812, 138, 107, 236772, 5213, 206071, 71509, 66515, 236743, 236778, 236761, 236770, 236908, 138, 108, 1018, 47619, 101638, 66515, 138, 107, 236772, 1366, 236778, 236743, 236778, 236771, 236778, 236812, 17785, 2072, 3831, 236743, 236810, 236908, 10471, 3877, 236761, 138, 107, 236772, 186791, 496, 861, 24488, 17358, 528, 236743, 236810, 236771, 236771, 11936, 236761, 138, 108, 1018, 35434, 66515, 138, 107, 236772, 5213, 211199, 66515, 21007, 138, 107, 236772, 5213, 47875, 522, 66515, 110042, 236789, 236751, 815, 496, 10385, 10002, 6219, 840, 13799, 14335, 8105, 699, 545, 236772, 25351, 14175, 236761, 138, 108, 818, 2862, 3385, 563, 9150, 10385, 5483, 531, 1061, 236743, 236810, 236778, 236772, 14808, 2644, 236764, 532, 506, 30627, 6422, 1451, 577, 35745, 573, 7094, 236772, 41889, 13177, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 10769, 751, 24084, 607, 2264, 2544, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 11337, 23324, 528, 496, 10002, 2544, 532, 1461, 531, 2426, 910, 1873, 2862, 3385, 236761, 3199, 611, 1385, 872, 506, 6524, 2862, 1938, 573, 496, 2544, 2760, 110042, 236789, 236751, 236881, 564, 236789, 236757, 711, 7121, 2889, 1003, 506, 84390, 5404, 236764, 834, 1027, 1601, 611, 740, 2847, 1093, 577, 1822, 236761, 564, 236789, 236757, 4875, 531, 10769, 625, 607, 2264, 2544, 564, 1281, 496, 3103, 919, 1003, 236764, 840, 564, 1202, 672, 1171, 6347, 529, 8283, 531, 2827, 4448, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 236855, 22442, 236789, 236751, 14508, 827, 623, 64939, 1083, 623, 236855, 24084, 827, 623, 14973, 236779, 9707, 1083, 236743, 236810, 236778, 236761, 236800, 236812, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 16350, 236779, 5565, 1083, 623, 236828, 236761, 236819, 236799, 827, 623, 236810, 236778, 236779, 14808, 236779, 11480, 1083, 236743, 236825, 236812, 236761, 236828, 236819, 236764, 623, 236810, 236778, 236779, 14808, 236779, 976, 1083, 236743, 236812, 236770, 236761, 236832, 236810, 236764, 623, 57512, 1083, 623, 38168, 42897, 800, 827, 623, 78024, 1083, 623, 23567, 50994, 827, 623, 2834, 20770, 1083, 623, 22463, 109595, 236744, 23979, 236764, 23784, 236764, 8288, 827, 623, 80040, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236764, 623, 2478, 236779, 7778, 81011, 1083, 3714, 79797, 1083, 623, 100487, 562, 236761, 204921, 827, 623, 63460, 1083, 623, 114394, 630, 236761, 216672, 827, 623, 236780, 12041, 1083, 623, 38830, 27328, 14694, 23179, 623, 43852, 236779, 12959, 1083, 11058, 236935, 236778, 236743, 236778, 236771, 236778, 236812, 17785, 2072, 3831, 236743, 236810, 236908, 10471, 3877, 827, 623, 4199, 24488, 17358, 12073, 528, 236743, 236810, 236771, 236771, 11936, 14255, 623, 28263, 1083, 3714, 635, 236779, 28350, 1083, 236743, 236770, 236778, 236761, 236812, 236764, 623, 167648, 236779, 55747, 1083, 623, 236778, 236761, 236770, 70887, 623, 85038, 567, 1083, 623, 66639, 827, 623, 27388, 522, 1083, 623, 122926, 10002, 6219, 840, 13668, 545, 236772, 25351, 8105, 127096, 106, 107, 105, 4368, 107, 818, 6524, 2862, 1938, 573, 110042, 236789, 236751, 568, 2998, 21209, 5213, 236855, 22442, 236789, 236751, 14508, 125546, 84390, 236787, 5213, 236855, 24084, 119542, 563, 618, 5238, 236787, 108, 236772, 5213, 8782, 13827, 14584, 66515, 609, 236810, 236778, 236761, 236800, 236812, 568, 38556, 236768, 138, 107, 236772, 5213, 40219, 6395, 66515, 609, 236828, 236761, 236819, 7889, 138, 107, 236772, 5213, 164865, 66515, 32314, 42897, 800, 138, 107, 236772, 5213, 73939, 66515, 5570, 50994, 138, 107, 236772, 5213, 236810, 236778, 236772, 27962, 4819, 236786, 26834, 66515, 609, 236825, 236812, 236761, 236828, 236819, 965, 609, 236812, 236770, 236761, 236832, 236810, 138, 107, 236772, 5213, 236791, 236786, 236788, 66814, 66515, 236743, 236770, 236778, 236761, 236812, 138, 107, 236772, 5213, 206071, 71509, 66515, 236743, 236778, 236761, 236770, 236908, 138, 108, 1018, 47619, 101638, 66515, 138, 107, 236772, 1366, 236778, 236743, 236778, 236771, 236778, 236812, 17785, 2072, 3831, 236743, 236810, 236908, 10471, 3877, 236761, 138, 107, 236772, 186791, 496, 861, 24488, 17358, 528, 236743, 236810, 236771, 236771, 11936, 236761, 138, 108, 1018, 35434, 66515, 138, 107, 236772, 5213, 211199, 66515, 21007, 138, 107, 236772, 5213, 47875, 522, 66515, 110042, 236789, 236751, 815, 496, 10385, 10002, 6219, 840, 13799, 14335, 8105, 699, 545, 236772, 25351, 14175, 236761, 138, 108, 818, 2862, 3385, 563, 9150, 10385, 5483, 531, 1061, 236743, 236810, 236778, 236772, 14808, 2644, 236764, 532, 506, 30627, 6422, 1451, 577, 35745, 573, 7094, 236772, 41889, 13177, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 10769, 751, 24084, 607, 2264, 2544, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 163501, 4889, 529, 520, 6279, 4876, 607, 62606, 236743, 236810, 236771, 236810, 532, 236743, 236825, 236771, 236825, 236761, 106, 107, 105, 4368, 107, 818, 2487, 6436, 1186, 3204, 506, 2165, 828, 3709, 236929, 1292, 236764, 837, 563, 5402, 531, 33205, 2536, 529, 5213, 10540, 16852, 9569, 1018, 1699, 496, 3161, 2165, 14557, 236779, 547, 21233, 5180, 2864, 13842, 67896, 4889, 529, 5213, 3871, 1018, 607, 62606, 236743, 236810, 236771, 236810, 532, 236743, 236825, 236771, 236825, 236764, 837, 1677, 711, 4241, 506, 5708, 653, 6137, 529, 506, 3847, 5904, 236761, 236743, 108, 47622, 236764, 506, 5904, 1677, 711, 1894, 12539, 10512, 568, 236744, 236761, 236759, 1126, 1156, 62606, 769, 1637, 611, 1202, 1938, 1003, 4876, 236764, 496, 1607, 5904, 653, 9299, 1093, 577, 3149, 236761, 3792, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 163501, 4889, 529, 520, 6279, 4876, 607, 62606, 236743, 236810, 236771, 236810, 532, 236743, 236825, 236771, 236825, 236761, 106, 107, 105, 4368, 107, 818, 2487, 6436, 1186, 3204, 506, 2165, 828, 3709, 236929, 1292, 236764, 837, 563, 5402, 531, 33205, 2536, 529, 5213, 10540, 16852, 9569, 1018, 1699, 496, 3161, 2165, 14557, 236779, 547, 21233, 5180, 2864, 13842, 67896, 4889, 529, 5213, 3871, 1018, 607, 62606, 236743, 236810, 236771, 236810, 532, 236743, 236825, 236771, 236825, 236764, 837, 1677, 711, 4241, 506, 5708, 653, 6137, 529, 506, 3847, 5904, 236761, 236743, 108, 47622, 236764, 506, 5904, 1677, 711, 1894, 12539, 10512, 568, 236744, 236761, 236759, 1126, 1156, 62606, 769, 1637, 611, 1202, 1938, 1003, 4876, 236764, 496, 1607, 5904, 653, 9299, 1093, 577, 3149, 236761, 3792, 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, 735, 15375, 573, 496, 27893, 13234, 528, 9630, 19842, 600, 564, 1202, 531, 7352, 699, 649, 15683, 236828, 236812, 531, 60043, 236828, 236800, 573, 496, 2263, 4187, 236761, 669, 40899, 563, 236743, 236778, 236832, 236761, 236819, 236825, 236825, 236825, 236825, 236832, 532, 50550, 563, 753, 236828, 236770, 236761, 236812, 236832, 236800, 236828, 236828, 236819, 236761, 28344, 611, 6060, 600, 14274, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 58291, 1083, 623, 236778, 236832, 236761, 236819, 236825, 236825, 236810, 236812, 236800, 10442, 236828, 236770, 236761, 236812, 236832, 236800, 236778, 236770, 236771, 827, 623, 106391, 1083, 623, 184844, 236828, 236800, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 818, 14274, 699, 649, 15683, 236828, 236812, 531, 60043, 236828, 236800, 5889, 236789, 236745, 8008, 684, 506, 2487, 6436, 236761, 669, 2165, 106391, 236779, 69930, 236929, 1292, 1186, 12765, 63680, 531, 623, 236765, 6174, 236828, 236812, 236775, 568, 14447, 3563, 590, 6139, 1804, 236768, 653, 623, 19904, 9671, 236775, 568, 21221, 6056, 3563, 590, 6139, 1804, 769, 1701, 60043, 236828, 236800, 568, 25907, 3668, 148587, 779, 611, 236789, 236753, 1202, 496, 1607, 2676, 590, 6139, 5904, 1025, 653, 9299, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 735, 15375, 573, 496, 27893, 13234, 528, 9630, 19842, 600, 564, 1202, 531, 7352, 699, 649, 15683, 236828, 236812, 531, 60043, 236828, 236800, 573, 496, 2263, 4187, 236761, 669, 40899, 563, 236743, 236778, 236832, 236761, 236819, 236825, 236825, 236825, 236825, 236832, 532, 50550, 563, 753, 236828, 236770, 236761, 236812, 236832, 236800, 236828, 236828, 236819, 236761, 28344, 611, 6060, 600, 14274, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 58291, 1083, 623, 236778, 236832, 236761, 236819, 236825, 236825, 236810, 236812, 236800, 10442, 236828, 236770, 236761, 236812, 236832, 236800, 236778, 236770, 236771, 827, 623, 106391, 1083, 623, 184844, 236828, 236800, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 818, 14274, 699, 649, 15683, 236828, 236812, 531, 60043, 236828, 236800, 5889, 236789, 236745, 8008, 684, 506, 2487, 6436, 236761, 669, 2165, 106391, 236779, 69930, 236929, 1292, 1186, 12765, 63680, 531, 623, 236765, 6174, 236828, 236812, 236775, 568, 14447, 3563, 590, 6139, 1804, 236768, 653, 623, 19904, 9671, 236775, 568, 21221, 6056, 3563, 590, 6139, 1804, 769, 1701, 60043, 236828, 236800, 568, 25907, 3668, 148587, 779, 611, 236789, 236753, 1202, 496, 1607, 2676, 590, 6139, 5904, 1025, 653, 9299, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236792, 10417, 236764, 564, 236789, 560, 1010, 6972, 1003, 11010, 1041, 31412, 40180, 133016, 3489, 236764, 8195, 564, 1202, 531, 1281, 1144, 1331, 659, 6420, 1003, 1032, 13965, 1171, 236761, 3199, 611, 2426, 9593, 10595, 573, 756, 236823, 30548, 83443, 162337, 121759, 236789, 532, 3442, 786, 1144, 5103, 2765, 653, 28686, 1003, 236881, 564, 1461, 1041, 15028, 531, 577, 2480, 1082, 61877, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 18840, 667, 30548, 83443, 162337, 121759, 10595, 236888, 2282, 33205, 506, 1262, 236764, 564, 236789, 859, 1202, 506, 1698, 236789, 236751, 9447, 1204, 568, 236770, 236771, 236772, 18857, 142585, 3393, 236768, 653, 9593, 1698, 10739, 236761, 28344, 611, 5091, 2847, 600, 1938, 236881, 9920, 564, 735, 625, 236764, 564, 740, 9385, 506, 10595, 532, 8357, 1144, 5103, 2765, 532, 28686, 1003, 236764, 2440, 24074, 236764, 27662, 7408, 9935, 236764, 532, 27078, 3671, 531, 1601, 611, 4011, 822, 31412, 15028, 236761, 106, 107, 105, 2364, 107, 6481, 786, 2426, 1041, 2255, 15028, 3673, 1390, 15527, 236764, 1590, 236789, 236751, 506, 9593, 1900, 19971, 236888, 669, 10739, 3189, 236787, 4560, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236823, 30548, 236772, 182492, 236772, 53666, 535, 236772, 236796, 1351, 236772, 236770, 236778, 236772, 236806, 112372, 236786, 19615, 236786, 236799, 236771, 236771, 236770, 236823, 236953, 236825, 236935, 92732, 236761, 14300, 600, 1601, 236764, 520, 10417, 236881, 564, 1461, 531, 1281, 768, 1331, 1586, 625, 31090, 1133, 1041, 12198, 236789, 236751, 4762, 236772, 109158, 29169, 653, 768, 625, 9258, 3075, 2480, 1082, 1041, 763, 17966, 236789, 236751, 31412, 3567, 236761, 1452, 1385, 573, 10595, 49326, 756, 28384, 236789, 653, 756, 8162, 19655, 236789, 753, 564, 1461, 1041, 133016, 531, 577, 4011, 1133, 12256, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 236770, 236823, 236953, 236825, 236935, 92732, 827, 623, 66850, 1083, 78493, 25612, 236779, 1005, 1083, 623, 138019, 3075, 1623, 2480, 1082, 1041, 763, 17966, 236789, 236751, 31412, 29169, 236888, 2301, 51364, 1056, 25829, 855, 10498, 623, 7991, 236779, 13126, 1083, 236743, 236810, 236764, 623, 87622, 236779, 73769, 1083, 1847, 236764, 623, 142960, 236779, 63263, 1083, 236743, 236770, 236778, 236764, 623, 126775, 1083, 623, 30558, 23179, 3714, 25612, 236779, 1005, 1083, 623, 184799, 1133, 1041, 12198, 236789, 236751, 4762, 236772, 109158, 29169, 236761, 211633, 657, 506, 14453, 1056, 25865, 10498, 623, 7991, 236779, 13126, 1083, 236743, 236800, 236764, 623, 87622, 236779, 73769, 1083, 2416, 236764, 623, 142960, 236779, 63263, 1083, 236743, 236832, 236764, 623, 126775, 1083, 623, 45258, 23179, 3714, 25612, 236779, 1005, 1083, 623, 236799, 10705, 6576, 6269, 1651, 4875, 531, 6309, 625, 855, 236761, 16707, 45580, 10498, 623, 7991, 236779, 13126, 1083, 236743, 236778, 236764, 623, 87622, 236779, 73769, 1083, 1847, 236764, 623, 142960, 236779, 63263, 1083, 236743, 236770, 236810, 236764, 623, 126775, 1083, 623, 27851, 25938, 1604, 623, 6011, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236800, 236761, 236832, 236764, 623, 30558, 236779, 66850, 1083, 623, 236825, 236810, 70887, 623, 27851, 236779, 66850, 1083, 623, 236778, 236771, 70887, 623, 41427, 236779, 31125, 1083, 11058, 109860, 827, 623, 8162, 19655, 827, 623, 28384, 1935, 1807, 106, 107, 105, 4368, 107, 236792, 10417, 236764, 16580, 6227, 862, 108424, 569, 2137, 191939, 1642, 667, 30548, 83443, 162337, 121759, 236787, 108, 1018, 9520, 929, 496, 759, 10785, 674, 135285, 568, 236825, 236810, 236908, 160516, 1473, 1018, 138, 107, 240732, 623, 138019, 3075, 1623, 2480, 1082, 1041, 763, 17966, 236789, 236751, 31412, 29169, 9332, 568, 236810, 105503, 236768, 138, 107, 236772, 24691, 40249, 664, 134319, 569, 17334, 570, 59610, 610, 3872, 866, 1438, 236761, 138, 107, 236772, 108853, 759, 41299, 10380, 33489, 5311, 759, 30387, 3151, 1741, 44842, 236761, 108, 1018, 10816, 17283, 86715, 568, 236778, 236771, 236908, 201815, 900, 236743, 236770, 236810, 236908, 7147, 4586, 1473, 1018, 138, 107, 242523, 623, 184799, 1133, 1041, 12198, 236789, 236751, 4762, 236772, 109158, 29169, 236775, 568, 236800, 105503, 236768, 138, 107, 242523, 623, 236799, 10705, 6576, 1651, 19519, 236775, 568, 236778, 105503, 236768, 138, 107, 236772, 54658, 3674, 569, 117230, 236787, 26046, 1196, 6862, 236764, 636, 173448, 1766, 696, 1450, 24113, 507, 512, 636, 8067, 635, 610, 232505, 2149, 236761, 138, 107, 236772, 108853, 50173, 508, 141152, 1642, 40023, 2149, 4343, 138643, 2149, 236761, 108, 1018, 11281, 553, 26147, 54583, 53121, 138, 107, 105503, 3134, 25462, 65798, 236787, 236743, 236800, 236761, 236832, 236786, 236810, 138, 107, 249772, 6203, 120778, 4134, 50173, 5102, 236787, 623, 109860, 827, 623, 8162, 19655, 827, 623, 28384, 236775, 108, 1018, 1479, 96431, 2103, 1642, 4379, 126583, 53121, 138, 107, 236772, 633, 122732, 606, 696, 72727, 759, 26046, 140244, 2616, 4343, 103736, 20544, 759, 15363, 2616, 236761, 138, 107, 236772, 187795, 65884, 723, 83090, 569, 69682, 568, 58603, 69682, 569, 204309, 236768, 1642, 36739, 20677, 30901, 236764, 3105, 76785, 15135, 2137, 191939, 201815, 236761, 138, 107, 236772, 7196, 189302, 929, 2075, 762, 4134, 24600, 66932, 512, 47151, 762, 696, 44181, 67019, 89014, 236881, 106, 107, 105, 2364, 107, 99963, 236764, 520, 10417, 236888, 4224, 600, 564, 1281, 667, 30548, 236858, 236751, 49679, 236764, 564, 1461, 531, 10769, 625, 607, 2264, 5500, 1041, 9171, 231162, 684, 1271, 808, 236796, 4267, 17015, 162337, 121759, 22429, 3199, 611, 2426, 1061, 10595, 2311, 236881, 11696, 573, 42298, 529, 2141, 33860, 20777, 2141, 30080, 3004, 20777, 532, 2141, 8162, 19655, 236858, 1271, 564, 1461, 531, 1460, 768, 1041, 4317, 529, 8009, 31255, 4446, 5205, 529, 15689, 4446, 1093, 8974, 1800, 13965, 236858, 4078, 236761, 7062, 236764, 532, 768, 993, 659, 1027, 236743, 236810, 236772, 7991, 10595, 118110, 2141, 153085, 11613, 20777, 564, 1461, 531, 1281, 7121, 1144, 901, 1176, 1271, 7463, 564, 740, 36577, 910, 31156, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 18840, 209309, 17015, 162337, 121759, 10595, 236888, 2282, 7162, 236764, 564, 236789, 859, 1202, 506, 1698, 236789, 236751, 9447, 1204, 568, 236770, 236771, 236772, 18857, 3393, 236768, 653, 9593, 1698, 10739, 236761, 28344, 611, 4024, 600, 1938, 236881, 9920, 564, 735, 625, 236764, 564, 236789, 859, 10916, 1385, 573, 236787, 138, 108, 236770, 236761, 44234, 878, 529, 5213, 33860, 1018, 532, 5213, 8162, 19655, 1018, 531, 10769, 607, 667, 30548, 236789, 236751, 4342, 138, 107, 236778, 236761, 32213, 1003, 5213, 30080, 3004, 1018, 568, 624, 3363, 31255, 4446, 2473, 4006, 625, 236768, 138, 107, 236800, 236761, 7129, 5213, 236810, 236772, 7991, 10595, 1018, 118110, 623, 153085, 11613, 236775, 1271, 564, 236789, 859, 8357, 4453, 37485, 901, 1161, 138, 108, 6481, 786, 1281, 506, 1698, 5853, 532, 564, 236789, 859, 33205, 506, 1262, 236888, 236743, 245668, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236792, 10417, 236764, 564, 236789, 560, 1010, 6972, 1003, 11010, 1041, 31412, 40180, 133016, 3489, 236764, 8195, 564, 1202, 531, 1281, 1144, 1331, 659, 6420, 1003, 1032, 13965, 1171, 236761, 3199, 611, 2426, 9593, 10595, 573, 756, 236823, 30548, 83443, 162337, 121759, 236789, 532, 3442, 786, 1144, 5103, 2765, 653, 28686, 1003, 236881, 564, 1461, 1041, 15028, 531, 577, 2480, 1082, 61877, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 18840, 667, 30548, 83443, 162337, 121759, 10595, 236888, 2282, 33205, 506, 1262, 236764, 564, 236789, 859, 1202, 506, 1698, 236789, 236751, 9447, 1204, 568, 236770, 236771, 236772, 18857, 142585, 3393, 236768, 653, 9593, 1698, 10739, 236761, 28344, 611, 5091, 2847, 600, 1938, 236881, 9920, 564, 735, 625, 236764, 564, 740, 9385, 506, 10595, 532, 8357, 1144, 5103, 2765, 532, 28686, 1003, 236764, 2440, 24074, 236764, 27662, 7408, 9935, 236764, 532, 27078, 3671, 531, 1601, 611, 4011, 822, 31412, 15028, 236761, 106, 107, 105, 2364, 107, 6481, 786, 2426, 1041, 2255, 15028, 3673, 1390, 15527, 236764, 1590, 236789, 236751, 506, 9593, 1900, 19971, 236888, 669, 10739, 3189, 236787, 4560, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236823, 30548, 236772, 182492, 236772, 53666, 535, 236772, 236796, 1351, 236772, 236770, 236778, 236772, 236806, 112372, 236786, 19615, 236786, 236799, 236771, 236771, 236770, 236823, 236953, 236825, 236935, 92732, 236761, 14300, 600, 1601, 236764, 520, 10417, 236881, 564, 1461, 531, 1281, 768, 1331, 1586, 625, 31090, 1133, 1041, 12198, 236789, 236751, 4762, 236772, 109158, 29169, 653, 768, 625, 9258, 3075, 2480, 1082, 1041, 763, 17966, 236789, 236751, 31412, 3567, 236761, 1452, 1385, 573, 10595, 49326, 756, 28384, 236789, 653, 756, 8162, 19655, 236789, 753, 564, 1461, 1041, 133016, 531, 577, 4011, 1133, 12256, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 236770, 236823, 236953, 236825, 236935, 92732, 827, 623, 66850, 1083, 78493, 25612, 236779, 1005, 1083, 623, 138019, 3075, 1623, 2480, 1082, 1041, 763, 17966, 236789, 236751, 31412, 29169, 236888, 2301, 51364, 1056, 25829, 855, 10498, 623, 7991, 236779, 13126, 1083, 236743, 236810, 236764, 623, 87622, 236779, 73769, 1083, 1847, 236764, 623, 142960, 236779, 63263, 1083, 236743, 236770, 236778, 236764, 623, 126775, 1083, 623, 30558, 23179, 3714, 25612, 236779, 1005, 1083, 623, 184799, 1133, 1041, 12198, 236789, 236751, 4762, 236772, 109158, 29169, 236761, 211633, 657, 506, 14453, 1056, 25865, 10498, 623, 7991, 236779, 13126, 1083, 236743, 236800, 236764, 623, 87622, 236779, 73769, 1083, 2416, 236764, 623, 142960, 236779, 63263, 1083, 236743, 236832, 236764, 623, 126775, 1083, 623, 45258, 23179, 3714, 25612, 236779, 1005, 1083, 623, 236799, 10705, 6576, 6269, 1651, 4875, 531, 6309, 625, 855, 236761, 16707, 45580, 10498, 623, 7991, 236779, 13126, 1083, 236743, 236778, 236764, 623, 87622, 236779, 73769, 1083, 1847, 236764, 623, 142960, 236779, 63263, 1083, 236743, 236770, 236810, 236764, 623, 126775, 1083, 623, 27851, 25938, 1604, 623, 6011, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236800, 236761, 236832, 236764, 623, 30558, 236779, 66850, 1083, 623, 236825, 236810, 70887, 623, 27851, 236779, 66850, 1083, 623, 236778, 236771, 70887, 623, 41427, 236779, 31125, 1083, 11058, 109860, 827, 623, 8162, 19655, 827, 623, 28384, 1935, 1807, 106, 107, 105, 4368, 107, 236792, 10417, 236764, 16580, 6227, 862, 108424, 569, 2137, 191939, 1642, 667, 30548, 83443, 162337, 121759, 236787, 108, 1018, 9520, 929, 496, 759, 10785, 674, 135285, 568, 236825, 236810, 236908, 160516, 1473, 1018, 138, 107, 240732, 623, 138019, 3075, 1623, 2480, 1082, 1041, 763, 17966, 236789, 236751, 31412, 29169, 9332, 568, 236810, 105503, 236768, 138, 107, 236772, 24691, 40249, 664, 134319, 569, 17334, 570, 59610, 610, 3872, 866, 1438, 236761, 138, 107, 236772, 108853, 759, 41299, 10380, 33489, 5311, 759, 30387, 3151, 1741, 44842, 236761, 108, 1018, 10816, 17283, 86715, 568, 236778, 236771, 236908, 201815, 900, 236743, 236770, 236810, 236908, 7147, 4586, 1473, 1018, 138, 107, 242523, 623, 184799, 1133, 1041, 12198, 236789, 236751, 4762, 236772, 109158, 29169, 236775, 568, 236800, 105503, 236768, 138, 107, 242523, 623, 236799, 10705, 6576, 1651, 19519, 236775, 568, 236778, 105503, 236768, 138, 107, 236772, 54658, 3674, 569, 117230, 236787, 26046, 1196, 6862, 236764, 636, 173448, 1766, 696, 1450, 24113, 507, 512, 636, 8067, 635, 610, 232505, 2149, 236761, 138, 107, 236772, 108853, 50173, 508, 141152, 1642, 40023, 2149, 4343, 138643, 2149, 236761, 108, 1018, 11281, 553, 26147, 54583, 53121, 138, 107, 105503, 3134, 25462, 65798, 236787, 236743, 236800, 236761, 236832, 236786, 236810, 138, 107, 249772, 6203, 120778, 4134, 50173, 5102, 236787, 623, 109860, 827, 623, 8162, 19655, 827, 623, 28384, 236775, 108, 1018, 1479, 96431, 2103, 1642, 4379, 126583, 53121, 138, 107, 236772, 633, 122732, 606, 696, 72727, 759, 26046, 140244, 2616, 4343, 103736, 20544, 759, 15363, 2616, 236761, 138, 107, 236772, 187795, 65884, 723, 83090, 569, 69682, 568, 58603, 69682, 569, 204309, 236768, 1642, 36739, 20677, 30901, 236764, 3105, 76785, 15135, 2137, 191939, 201815, 236761, 138, 107, 236772, 7196, 189302, 929, 2075, 762, 4134, 24600, 66932, 512, 47151, 762, 696, 44181, 67019, 89014, 236881, 106, 107, 105, 2364, 107, 99963, 236764, 520, 10417, 236888, 4224, 600, 564, 1281, 667, 30548, 236858, 236751, 49679, 236764, 564, 1461, 531, 10769, 625, 607, 2264, 5500, 1041, 9171, 231162, 684, 1271, 808, 236796, 4267, 17015, 162337, 121759, 22429, 3199, 611, 2426, 1061, 10595, 2311, 236881, 11696, 573, 42298, 529, 2141, 33860, 20777, 2141, 30080, 3004, 20777, 532, 2141, 8162, 19655, 236858, 1271, 564, 1461, 531, 1460, 768, 1041, 4317, 529, 8009, 31255, 4446, 5205, 529, 15689, 4446, 1093, 8974, 1800, 13965, 236858, 4078, 236761, 7062, 236764, 532, 768, 993, 659, 1027, 236743, 236810, 236772, 7991, 10595, 118110, 2141, 153085, 11613, 20777, 564, 1461, 531, 1281, 7121, 1144, 901, 1176, 1271, 7463, 564, 740, 36577, 910, 31156, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 18840, 209309, 17015, 162337, 121759, 10595, 236888, 2282, 7162, 236764, 564, 236789, 859, 1202, 506, 1698, 236789, 236751, 9447, 1204, 568, 236770, 236771, 236772, 18857, 3393, 236768, 653, 9593, 1698, 10739, 236761, 28344, 611, 4024, 600, 1938, 236881, 9920, 564, 735, 625, 236764, 564, 236789, 859, 10916, 1385, 573, 236787, 138, 108, 236770, 236761, 44234, 878, 529, 5213, 33860, 1018, 532, 5213, 8162, 19655, 1018, 531, 10769, 607, 667, 30548, 236789, 236751, 4342, 138, 107, 236778, 236761, 32213, 1003, 5213, 30080, 3004, 1018, 568, 624, 3363, 31255, 4446, 2473, 4006, 625, 236768, 138, 107, 236800, 236761, 7129, 5213, 236810, 236772, 7991, 10595, 1018, 118110, 623, 153085, 11613, 236775, 1271, 564, 236789, 859, 8357, 4453, 37485, 901, 1161, 138, 108, 6481, 786, 1281, 506, 1698, 5853, 532, 564, 236789, 859, 33205, 506, 1262, 236888, 236743, 245668, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 52705, 12441, 4598, 573, 1041, 146438, 657, 506, 3029, 532, 1202, 1601, 7107, 496, 4709, 9539, 236772, 52728, 2707, 236761, 5315, 236764, 1161, 506, 7905, 236779, 16988, 236779, 624, 236779, 56220, 236779, 1340, 236779, 15396, 236779, 58392, 5904, 531, 974, 1938, 1003, 26057, 12522, 20969, 2338, 1551, 529, 1041, 5103, 659, 699, 993, 236761, 4298, 236764, 2721, 580, 506, 7958, 1262, 699, 506, 18006, 5904, 573, 236743, 236778, 236771, 236778, 236800, 236764, 3600, 10969, 4972, 531, 27968, 1131, 506, 7824, 236761, 12067, 236764, 2426, 6524, 236779, 54492, 90993, 24271, 684, 623, 120384, 45625, 236775, 15707, 531, 1586, 9539, 11421, 692, 1451, 4926, 236761, 13472, 236764, 1161, 974, 236779, 52004, 236779, 12959, 236779, 2543, 236779, 6265, 607, 5853, 623, 52468, 236772, 170032, 236935, 236772, 236778, 236771, 236778, 236800, 236775, 531, 5330, 1023, 7824, 563, 23722, 529, 1873, 2263, 49310, 236862, 4749, 236761, 3792, 786, 1281, 1056, 611, 735, 784, 506, 4889, 531, 1502, 6995, 506, 6831, 532, 31851, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7861, 17672, 1083, 78493, 1201, 1083, 623, 170425, 26057, 827, 623, 38428, 1083, 236743, 236812, 236778, 236771, 236771, 236771, 236764, 623, 7376, 1083, 236743, 236810, 236761, 236778, 236764, 623, 1048, 1225, 71843, 1083, 78493, 1201, 1083, 623, 36043, 7449, 9252, 827, 623, 38428, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 1263, 3714, 1201, 1083, 623, 1479, 29774, 9252, 827, 623, 38428, 1083, 236743, 236828, 236810, 236771, 236771, 104960, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236778, 236761, 236832, 236832, 236825, 236832, 236764, 623, 41713, 1083, 753, 236819, 236825, 236761, 236832, 236819, 236832, 5237, 3714, 1201, 1083, 623, 236836, 693, 931, 26057, 827, 623, 38428, 1083, 236743, 236778, 236828, 236771, 236771, 236771, 236764, 623, 7376, 1083, 236743, 236800, 236761, 236828, 236764, 623, 1048, 1225, 71843, 1083, 78493, 1201, 1083, 623, 162592, 4556, 827, 623, 38428, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 104960, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236778, 236761, 236828, 236771, 236770, 236832, 236764, 623, 41713, 1083, 753, 236819, 236825, 236761, 236828, 236771, 236800, 236825, 1807, 1604, 623, 58392, 236779, 3873, 1083, 3714, 37673, 1083, 236743, 236800, 236778, 236761, 236832, 236832, 236825, 236832, 236764, 623, 41713, 1083, 753, 236819, 236825, 236761, 236832, 236819, 236832, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 3704, 1083, 623, 236778, 236771, 236778, 236800, 827, 623, 5640, 236779, 1340, 236779, 111671, 1083, 236743, 236770, 236810, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 43852, 236779, 661, 17180, 1083, 78493, 3250, 1083, 623, 221096, 9290, 116948, 827, 623, 31040, 1083, 623, 60526, 31121, 236785, 236756, 236771, 236771, 236744, 236770, 24545, 827, 623, 39654, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 9707, 1083, 6610, 236812, 236778, 236764, 236771, 236771, 236771, 23179, 3714, 3250, 1083, 623, 177285, 142881, 827, 623, 31040, 1083, 623, 27359, 30641, 827, 623, 39654, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 827, 623, 9707, 1083, 6610, 236778, 236828, 236764, 236810, 236771, 236771, 23179, 3714, 3250, 1083, 623, 110654, 88691, 827, 623, 31040, 1083, 623, 236798, 5657, 69197, 827, 623, 39654, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 827, 623, 9707, 1083, 6610, 236800, 236810, 236764, 236771, 236771, 236771, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12959, 1083, 78493, 3250, 1083, 623, 120384, 49310, 236862, 53917, 15467, 185131, 236743, 236778, 236771, 236778, 236812, 10452, 1048, 827, 623, 6011, 1083, 623, 818, 7384, 26057, 53917, 15467, 795, 4926, 3892, 19575, 236764, 2263, 67536, 11421, 236764, 532, 496, 13161, 72850, 580, 5142, 236743, 236770, 236810, 236772, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236812, 10498, 623, 6265, 1083, 623, 52468, 236772, 170032, 236935, 236772, 236778, 236771, 236778, 236800, 827, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236771, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 28725, 1938, 531, 2619, 822, 9539, 236772, 52728, 52705, 12441, 4598, 236787, 108, 1018, 120384, 12522, 113011, 568, 2543, 7905, 236779, 16988, 236779, 624, 236779, 56220, 236779, 1340, 236779, 15396, 236779, 58392, 1473, 1018, 107, 236770, 236761, 48630, 26057, 107, 139, 236772, 39208, 236787, 236743, 236812, 236778, 236764, 236771, 236771, 236771, 107, 139, 236772, 9533, 4106, 236787, 8870, 7449, 9252, 236764, 108450, 9252, 107, 139, 236772, 119558, 236787, 236743, 236800, 236778, 236761, 236832, 236832, 236825, 236832, 237366, 236797, 236764, 236743, 236819, 236825, 236761, 236832, 236819, 236832, 236771, 237366, 236824, 107, 236778, 236761, 224363, 26057, 107, 139, 236772, 39208, 236787, 236743, 236778, 236828, 236764, 236771, 236771, 236771, 107, 139, 236772, 9533, 2433, 236787, 73322, 4556, 107, 139, 236772, 119558, 236787, 236743, 236800, 236778, 236761, 236828, 236771, 236770, 236832, 237366, 236797, 236764, 236743, 236819, 236825, 236761, 236828, 236771, 236800, 236825, 237366, 236824, 108, 1018, 236778, 236771, 236778, 236800, 19987, 28043, 5774, 568, 111671, 5904, 1473, 1018, 107, 236772, 236743, 236770, 236810, 236771, 7958, 26695, 528, 506, 236743, 236778, 236771, 236778, 236800, 18006, 107, 236772, 149715, 4972, 531, 27968, 236787, 9539, 1494, 2528, 9624, 28968, 568, 3255, 21208, 100491, 236768, 532, 18660, 568, 109219, 236743, 236810, 236772, 498, 236772, 236810, 53451, 3364, 528, 26057, 182521, 236768, 108, 1018, 120384, 45625, 4585, 568, 27083, 236779, 54492, 2536, 1473, 1018, 107, 236772, 108632, 11421, 236787, 17015, 60844, 6791, 221096, 9290, 116948, 3959, 7502, 30641, 6791, 177285, 142881, 3959, 225665, 69197, 6791, 110654, 88691, 1373, 107, 236772, 34980, 5886, 236787, 609, 236778, 236828, 236764, 236810, 236771, 236771, 23278, 236812, 236778, 236764, 236771, 236771, 236771, 2644, 568, 36817, 236743, 236778, 236771, 236778, 236800, 236768, 108, 1018, 170032, 236935, 236862, 799, 3067, 1952, 568, 828, 236779, 52004, 236779, 12959, 236779, 2543, 236779, 6265, 1473, 1018, 107, 236772, 157542, 2460, 236787, 26057, 49310, 236862, 53917, 15467, 568, 27403, 236743, 236770, 236810, 236772, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 107, 236772, 9533, 4820, 236787, 36788, 72850, 236764, 67536, 8325, 32545, 236764, 30591, 236772, 68122, 31851, 108, 1018, 84460, 140604, 53121, 107, 236770, 236761, 36047, 236787, 70535, 26057, 66005, 35719, 607, 149459, 236772, 3061, 229463, 532, 623, 221096, 9290, 3245, 236775, 59491, 107, 236778, 236761, 17424, 236787, 8600, 623, 64905, 236772, 52728, 236775, 19292, 568, 236744, 236761, 236759, 1126, 8193, 236772, 55461, 528, 48630, 10202, 236764, 56179, 14996, 528, 224363, 2433, 236768, 107, 236800, 236761, 15268, 236787, 23949, 496, 15689, 26026, 18006, 568, 69033, 1883, 5888, 55488, 236768, 607, 26057, 236772, 68122, 14989, 107, 236812, 236761, 4585, 236787, 19236, 24482, 529, 16939, 11421, 236789, 4146, 618, 2633, 3988, 43997, 107, 236810, 236761, 799, 3067, 1952, 236787, 32300, 607, 26057, 53917, 54213, 573, 42527, 5417, 532, 1966, 77998, 236743, 236810, 236908, 529, 24676, 531, 910, 236743, 236778, 236771, 236778, 236812, 2460, 108, 38786, 611, 1133, 786, 531, 59638, 1027, 3530, 6084, 529, 506, 2731, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 52705, 12441, 4598, 573, 1041, 146438, 657, 506, 3029, 532, 1202, 1601, 7107, 496, 4709, 9539, 236772, 52728, 2707, 236761, 5315, 236764, 1161, 506, 7905, 236779, 16988, 236779, 624, 236779, 56220, 236779, 1340, 236779, 15396, 236779, 58392, 5904, 531, 974, 1938, 1003, 26057, 12522, 20969, 2338, 1551, 529, 1041, 5103, 659, 699, 993, 236761, 4298, 236764, 2721, 580, 506, 7958, 1262, 699, 506, 18006, 5904, 573, 236743, 236778, 236771, 236778, 236800, 236764, 3600, 10969, 4972, 531, 27968, 1131, 506, 7824, 236761, 12067, 236764, 2426, 6524, 236779, 54492, 90993, 24271, 684, 623, 120384, 45625, 236775, 15707, 531, 1586, 9539, 11421, 692, 1451, 4926, 236761, 13472, 236764, 1161, 974, 236779, 52004, 236779, 12959, 236779, 2543, 236779, 6265, 607, 5853, 623, 52468, 236772, 170032, 236935, 236772, 236778, 236771, 236778, 236800, 236775, 531, 5330, 1023, 7824, 563, 23722, 529, 1873, 2263, 49310, 236862, 4749, 236761, 3792, 786, 1281, 1056, 611, 735, 784, 506, 4889, 531, 1502, 6995, 506, 6831, 532, 31851, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7861, 17672, 1083, 78493, 1201, 1083, 623, 170425, 26057, 827, 623, 38428, 1083, 236743, 236812, 236778, 236771, 236771, 236771, 236764, 623, 7376, 1083, 236743, 236810, 236761, 236778, 236764, 623, 1048, 1225, 71843, 1083, 78493, 1201, 1083, 623, 36043, 7449, 9252, 827, 623, 38428, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 1263, 3714, 1201, 1083, 623, 1479, 29774, 9252, 827, 623, 38428, 1083, 236743, 236828, 236810, 236771, 236771, 104960, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236778, 236761, 236832, 236832, 236825, 236832, 236764, 623, 41713, 1083, 753, 236819, 236825, 236761, 236832, 236819, 236832, 5237, 3714, 1201, 1083, 623, 236836, 693, 931, 26057, 827, 623, 38428, 1083, 236743, 236778, 236828, 236771, 236771, 236771, 236764, 623, 7376, 1083, 236743, 236800, 236761, 236828, 236764, 623, 1048, 1225, 71843, 1083, 78493, 1201, 1083, 623, 162592, 4556, 827, 623, 38428, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 104960, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236778, 236761, 236828, 236771, 236770, 236832, 236764, 623, 41713, 1083, 753, 236819, 236825, 236761, 236828, 236771, 236800, 236825, 1807, 1604, 623, 58392, 236779, 3873, 1083, 3714, 37673, 1083, 236743, 236800, 236778, 236761, 236832, 236832, 236825, 236832, 236764, 623, 41713, 1083, 753, 236819, 236825, 236761, 236832, 236819, 236832, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 3704, 1083, 623, 236778, 236771, 236778, 236800, 827, 623, 5640, 236779, 1340, 236779, 111671, 1083, 236743, 236770, 236810, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 43852, 236779, 661, 17180, 1083, 78493, 3250, 1083, 623, 221096, 9290, 116948, 827, 623, 31040, 1083, 623, 60526, 31121, 236785, 236756, 236771, 236771, 236744, 236770, 24545, 827, 623, 39654, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 9707, 1083, 6610, 236812, 236778, 236764, 236771, 236771, 236771, 23179, 3714, 3250, 1083, 623, 177285, 142881, 827, 623, 31040, 1083, 623, 27359, 30641, 827, 623, 39654, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 827, 623, 9707, 1083, 6610, 236778, 236828, 236764, 236810, 236771, 236771, 23179, 3714, 3250, 1083, 623, 110654, 88691, 827, 623, 31040, 1083, 623, 236798, 5657, 69197, 827, 623, 39654, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 827, 623, 9707, 1083, 6610, 236800, 236810, 236764, 236771, 236771, 236771, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12959, 1083, 78493, 3250, 1083, 623, 120384, 49310, 236862, 53917, 15467, 185131, 236743, 236778, 236771, 236778, 236812, 10452, 1048, 827, 623, 6011, 1083, 623, 818, 7384, 26057, 53917, 15467, 795, 4926, 3892, 19575, 236764, 2263, 67536, 11421, 236764, 532, 496, 13161, 72850, 580, 5142, 236743, 236770, 236810, 236772, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236812, 10498, 623, 6265, 1083, 623, 52468, 236772, 170032, 236935, 236772, 236778, 236771, 236778, 236800, 827, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236771, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 28725, 1938, 531, 2619, 822, 9539, 236772, 52728, 52705, 12441, 4598, 236787, 108, 1018, 120384, 12522, 113011, 568, 2543, 7905, 236779, 16988, 236779, 624, 236779, 56220, 236779, 1340, 236779, 15396, 236779, 58392, 1473, 1018, 107, 236770, 236761, 48630, 26057, 107, 139, 236772, 39208, 236787, 236743, 236812, 236778, 236764, 236771, 236771, 236771, 107, 139, 236772, 9533, 4106, 236787, 8870, 7449, 9252, 236764, 108450, 9252, 107, 139, 236772, 119558, 236787, 236743, 236800, 236778, 236761, 236832, 236832, 236825, 236832, 237366, 236797, 236764, 236743, 236819, 236825, 236761, 236832, 236819, 236832, 236771, 237366, 236824, 107, 236778, 236761, 224363, 26057, 107, 139, 236772, 39208, 236787, 236743, 236778, 236828, 236764, 236771, 236771, 236771, 107, 139, 236772, 9533, 2433, 236787, 73322, 4556, 107, 139, 236772, 119558, 236787, 236743, 236800, 236778, 236761, 236828, 236771, 236770, 236832, 237366, 236797, 236764, 236743, 236819, 236825, 236761, 236828, 236771, 236800, 236825, 237366, 236824, 108, 1018, 236778, 236771, 236778, 236800, 19987, 28043, 5774, 568, 111671, 5904, 1473, 1018, 107, 236772, 236743, 236770, 236810, 236771, 7958, 26695, 528, 506, 236743, 236778, 236771, 236778, 236800, 18006, 107, 236772, 149715, 4972, 531, 27968, 236787, 9539, 1494, 2528, 9624, 28968, 568, 3255, 21208, 100491, 236768, 532, 18660, 568, 109219, 236743, 236810, 236772, 498, 236772, 236810, 53451, 3364, 528, 26057, 182521, 236768, 108, 1018, 120384, 45625, 4585, 568, 27083, 236779, 54492, 2536, 1473, 1018, 107, 236772, 108632, 11421, 236787, 17015, 60844, 6791, 221096, 9290, 116948, 3959, 7502, 30641, 6791, 177285, 142881, 3959, 225665, 69197, 6791, 110654, 88691, 1373, 107, 236772, 34980, 5886, 236787, 609, 236778, 236828, 236764, 236810, 236771, 236771, 23278, 236812, 236778, 236764, 236771, 236771, 236771, 2644, 568, 36817, 236743, 236778, 236771, 236778, 236800, 236768, 108, 1018, 170032, 236935, 236862, 799, 3067, 1952, 568, 828, 236779, 52004, 236779, 12959, 236779, 2543, 236779, 6265, 1473, 1018, 107, 236772, 157542, 2460, 236787, 26057, 49310, 236862, 53917, 15467, 568, 27403, 236743, 236770, 236810, 236772, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 107, 236772, 9533, 4820, 236787, 36788, 72850, 236764, 67536, 8325, 32545, 236764, 30591, 236772, 68122, 31851, 108, 1018, 84460, 140604, 53121, 107, 236770, 236761, 36047, 236787, 70535, 26057, 66005, 35719, 607, 149459, 236772, 3061, 229463, 532, 623, 221096, 9290, 3245, 236775, 59491, 107, 236778, 236761, 17424, 236787, 8600, 623, 64905, 236772, 52728, 236775, 19292, 568, 236744, 236761, 236759, 1126, 8193, 236772, 55461, 528, 48630, 10202, 236764, 56179, 14996, 528, 224363, 2433, 236768, 107, 236800, 236761, 15268, 236787, 23949, 496, 15689, 26026, 18006, 568, 69033, 1883, 5888, 55488, 236768, 607, 26057, 236772, 68122, 14989, 107, 236812, 236761, 4585, 236787, 19236, 24482, 529, 16939, 11421, 236789, 4146, 618, 2633, 3988, 43997, 107, 236810, 236761, 799, 3067, 1952, 236787, 32300, 607, 26057, 53917, 54213, 573, 42527, 5417, 532, 1966, 77998, 236743, 236810, 236908, 529, 24676, 531, 910, 236743, 236778, 236771, 236778, 236812, 2460, 108, 38786, 611, 1133, 786, 531, 59638, 1027, 3530, 6084, 529, 506, 2731, 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, 146924, 496, 236743, 236778, 236771, 236778, 236771, 16103, 633, 236772, 236778, 236810, 236771, 6562, 48396, 573, 104072, 1041, 13763, 9909, 531, 9630, 37083, 236761, 28344, 611, 2426, 1061, 55455, 236764, 4285, 506, 100432, 6541, 236764, 532, 1144, 18361, 659, 13888, 580, 4398, 573, 886, 528, 1535, 4194, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4368, 1083, 623, 236811, 236772, 236778, 236810, 236771, 6562, 48396, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 29822, 1083, 623, 52111, 827, 623, 134878, 1083, 3714, 236745, 51217, 236779, 48578, 236779, 56301, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236764, 623, 19072, 1083, 623, 236825, 236761, 236832, 236798, 7338, 94686, 782, 236828, 51223, 60989, 827, 623, 149603, 1083, 623, 236770, 236771, 236772, 11243, 14623, 827, 623, 4250, 236779, 3119, 1083, 623, 236828, 12110, 827, 623, 32676, 236779, 2084, 1083, 623, 236812, 236781, 236812, 23179, 623, 28128, 236779, 9707, 1083, 3714, 2394, 1083, 236743, 236812, 236810, 236810, 236771, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 19216, 236779, 14210, 1083, 623, 11947, 4194, 607, 2708, 51239, 75720, 236828, 236771, 236764, 236771, 236771, 236771, 7635, 16291, 1263, 623, 33864, 1083, 11058, 2574, 1411, 8358, 236761, 854, 236786, 236760, 236778, 236810, 236771, 236779, 236778, 236771, 236778, 236771, 236779, 236770, 236761, 4034, 827, 623, 2574, 1411, 8358, 236761, 854, 236786, 236760, 236778, 236810, 236771, 236779, 236778, 236771, 236778, 236771, 236779, 236778, 236761, 4034, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 4889, 573, 506, 236743, 236778, 236771, 236778, 236771, 16103, 633, 236772, 236778, 236810, 236771, 6562, 48396, 236787, 108, 1018, 236774, 51217, 61242, 66515, 236743, 236770, 236778, 236764, 236771, 236771, 236771, 16931, 138, 107, 1018, 14525, 66515, 236743, 236825, 236761, 236832, 236798, 7338, 94686, 782, 236828, 51223, 60989, 138, 107, 1018, 150024, 66515, 236743, 236770, 236771, 236772, 11243, 14623, 138, 107, 1018, 34299, 9250, 66515, 236743, 236812, 236781, 236812, 138, 107, 1018, 35580, 37598, 66515, 236743, 236828, 12110, 138, 108, 1018, 35089, 14584, 568, 11947, 20402, 62902, 236787, 138, 107, 236795, 236812, 236810, 236764, 236810, 236771, 236771, 23058, 573, 4681, 607, 2708, 51239, 75720, 236828, 236771, 236764, 236771, 236771, 236771, 7635, 769, 138, 108, 38786, 611, 1133, 4767, 4889, 653, 6704, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 146924, 496, 236743, 236778, 236771, 236778, 236771, 16103, 633, 236772, 236778, 236810, 236771, 6562, 48396, 573, 104072, 1041, 13763, 9909, 531, 9630, 37083, 236761, 28344, 611, 2426, 1061, 55455, 236764, 4285, 506, 100432, 6541, 236764, 532, 1144, 18361, 659, 13888, 580, 4398, 573, 886, 528, 1535, 4194, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4368, 1083, 623, 236811, 236772, 236778, 236810, 236771, 6562, 48396, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 29822, 1083, 623, 52111, 827, 623, 134878, 1083, 3714, 236745, 51217, 236779, 48578, 236779, 56301, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236764, 623, 19072, 1083, 623, 236825, 236761, 236832, 236798, 7338, 94686, 782, 236828, 51223, 60989, 827, 623, 149603, 1083, 623, 236770, 236771, 236772, 11243, 14623, 827, 623, 4250, 236779, 3119, 1083, 623, 236828, 12110, 827, 623, 32676, 236779, 2084, 1083, 623, 236812, 236781, 236812, 23179, 623, 28128, 236779, 9707, 1083, 3714, 2394, 1083, 236743, 236812, 236810, 236810, 236771, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 19216, 236779, 14210, 1083, 623, 11947, 4194, 607, 2708, 51239, 75720, 236828, 236771, 236764, 236771, 236771, 236771, 7635, 16291, 1263, 623, 33864, 1083, 11058, 2574, 1411, 8358, 236761, 854, 236786, 236760, 236778, 236810, 236771, 236779, 236778, 236771, 236778, 236771, 236779, 236770, 236761, 4034, 827, 623, 2574, 1411, 8358, 236761, 854, 236786, 236760, 236778, 236810, 236771, 236779, 236778, 236771, 236778, 236771, 236779, 236778, 236761, 4034, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 4889, 573, 506, 236743, 236778, 236771, 236778, 236771, 16103, 633, 236772, 236778, 236810, 236771, 6562, 48396, 236787, 108, 1018, 236774, 51217, 61242, 66515, 236743, 236770, 236778, 236764, 236771, 236771, 236771, 16931, 138, 107, 1018, 14525, 66515, 236743, 236825, 236761, 236832, 236798, 7338, 94686, 782, 236828, 51223, 60989, 138, 107, 1018, 150024, 66515, 236743, 236770, 236771, 236772, 11243, 14623, 138, 107, 1018, 34299, 9250, 66515, 236743, 236812, 236781, 236812, 138, 107, 1018, 35580, 37598, 66515, 236743, 236828, 12110, 138, 108, 1018, 35089, 14584, 568, 11947, 20402, 62902, 236787, 138, 107, 236795, 236812, 236810, 236764, 236810, 236771, 236771, 23058, 573, 4681, 607, 2708, 51239, 75720, 236828, 236771, 236764, 236771, 236771, 236771, 7635, 769, 138, 108, 38786, 611, 1133, 4767, 4889, 653, 6704, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 18544, 563, 5809, 531, 15130, 14274, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 35322, 48234, 573, 822, 7946, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 18544, 563, 5809, 531, 15130, 14274, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 35322, 48234, 573, 822, 7946, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 9279, 506, 5149, 1534, 39023, 236764, 28963, 532, 197724, 236764, 40496, 236881, 3551, 6853, 532, 564, 659, 6861, 6995, 600, 226319, 207827, 7946, 236764, 532, 564, 1202, 531, 5811, 855, 1217, 2793, 692, 236789, 236753, 577, 13515, 1680, 692, 1502, 15468, 855, 6267, 34106, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17178, 236779, 100403, 1083, 236743, 236800, 236810, 236778, 236810, 236764, 623, 6805, 1083, 623, 100403, 827, 623, 11679, 236779, 2084, 1083, 623, 36713, 10059, 25938, 106, 107, 105, 4368, 107, 818, 6850, 236772, 1257, 568, 36713, 10059, 236768, 5149, 1534, 5213, 192038, 236764, 28963, 1018, 532, 5213, 236780, 605, 1364, 236764, 40496, 1018, 563, 5213, 236800, 236764, 236810, 236778, 236810, 7635, 568, 236810, 236764, 236825, 236832, 236800, 35769, 62902, 236761, 1174, 9282, 506, 48037, 10224, 2479, 1534, 506, 1156, 9979, 236764, 3635, 5396, 4301, 5149, 1149, 9729, 10167, 580, 6267, 34106, 653, 3530, 10224, 16266, 236761, 138, 108, 39316, 33036, 580, 822, 226319, 207827, 19063, 2192, 625, 236858, 236751, 1771, 531, 577, 58931, 236888, 236743, 247506, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 4658, 1663, 573, 822, 7946, 6995, 236761, 103453, 106, 107, 105, 2364, 107, 24019, 236764, 7516, 237028, 43849, 573, 506, 5149, 14988, 236888, 4224, 600, 692, 236789, 560, 2506, 506, 51239, 19372, 236764, 1041, 6853, 532, 564, 659, 4875, 531, 5811, 855, 506, 990, 4954, 236761, 28344, 611, 2426, 506, 1873, 2263, 990, 808, 624, 236829, 59528, 9815, 573, 197724, 236764, 40496, 236881, 1191, 1461, 531, 1386, 2889, 692, 1537, 236858, 236745, 2601, 657, 236743, 236800, 496, 236761, 236757, 236761, 2263, 990, 532, 1345, 872, 60821, 40097, 12727, 10783, 1447, 1135, 506, 8180, 236761, 568, 5778, 236858, 236751, 3016, 26183, 786, 768, 564, 2260, 496, 2604, 236772, 18695, 236764, 564, 236858, 236757, 20537, 580, 506, 29919, 1063, 2033, 15520, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 236780, 605, 1364, 236764, 40496, 827, 623, 4002, 236779, 6047, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 827, 623, 101696, 236779, 10617, 1083, 9296, 236771, 236810, 236787, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 818, 1873, 2263, 990, 528, 5213, 236780, 605, 1364, 236764, 40496, 1018, 563, 5213, 236770, 236771, 236787, 236800, 236771, 8151, 568, 36817, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 62902, 236764, 532, 506, 59528, 9815, 563, 5213, 13902, 236772, 236810, 1018, 568, 218471, 1677, 808, 2217, 236829, 15739, 58745, 16011, 990, 236764, 834, 672, 9815, 7474, 9958, 1051, 236772, 979, 769, 138, 108, 2094, 2820, 197724, 563, 5213, 236810, 3885, 4977, 2372, 74259, 29063, 7578, 568, 13902, 62902, 236761, 1701, 5577, 236787, 138, 107, 236772, 1637, 625, 236858, 236751, 5213, 236800, 236787, 236771, 236771, 8711, 59528, 125546, 625, 236858, 236751, 5213, 236770, 236771, 236787, 236771, 236771, 8151, 528, 197724, 84750, 138, 107, 236772, 54287, 531, 39023, 568, 7650, 563, 5633, 580, 5213, 13902, 236772, 236812, 1018, 1913, 58745, 16011, 990, 779, 197724, 563, 5213, 236770, 6468, 4977, 1018, 39023, 236761, 138, 108, 4324, 768, 822, 10224, 36522, 528, 197724, 657, 236764, 1879, 236764, 5213, 236819, 236787, 236771, 236771, 8151, 2263, 990, 125546, 625, 1093, 2597, 1133, 5213, 236770, 236771, 236787, 236771, 236771, 8151, 39023, 990, 1018, 2192, 951, 40097, 12727, 10783, 1447, 1135, 506, 8180, 236888, 236743, 241851, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 16329, 10224, 16257, 2782, 653, 61232, 822, 76717, 236888, 236743, 244710, 238178, 106, 107, 105, 2364, 107, 24019, 236764, 4011, 237028, 43849, 573, 36888, 872, 506, 990, 10202, 19381, 236888, 3551, 6853, 1164, 32392, 786, 692, 236858, 859, 1202, 111101, 15130, 573, 1724, 2268, 86165, 9766, 3541, 226319, 207827, 236761, 28344, 611, 8091, 872, 506, 1873, 8770, 3136, 573, 5213, 38556, 531, 60601, 568, 5141, 86643, 5718, 62902, 236881, 39799, 236764, 1217, 1623, 236743, 236770, 236771, 236771, 23058, 1093, 974, 786, 236881, 2625, 236858, 236751, 3016, 26183, 786, 711, 531, 4491, 3097, 692, 2601, 531, 5811, 672, 855, 237028, 5455, 236772, 20353, 91038, 10294, 29885, 1116, 855, 919, 1082, 1041, 15576, 32088, 236772, 2865, 30583, 236888, 236743, 241851, 106, 107, 105, 4368, 107, 236777, 1537, 236858, 236745, 735, 2802, 531, 3892, 15130, 8770, 3136, 1262, 1343, 1041, 1873, 6436, 568, 9745, 529, 506, 3847, 56918, 6060, 97000, 6224, 769, 3153, 236764, 618, 529, 1041, 1774, 4122, 1262, 568, 1048, 531, 5505, 236743, 236778, 236771, 236778, 236812, 779, 506, 23494, 8770, 3136, 563, 5213, 236770, 23058, 67081, 236743, 236800, 236761, 236832, 236771, 60601, 1018, 568, 5141, 86643, 5718, 779, 6590, 5213, 236770, 236771, 236771, 23058, 1093, 974, 611, 20129, 236743, 236800, 236832, 236771, 60601, 84750, 138, 108, 2542, 506, 808, 3374, 11459, 236764, 872, 236772, 1071, 236772, 1437, 236772, 20353, 3136, 30237, 564, 236858, 236753, 5840, 16329, 236787, 138, 107, 236772, 562, 26576, 4867, 2509, 1133, 5213, 144052, 236761, 854, 125546, 5213, 19540, 19666, 125546, 653, 822, 4856, 236858, 236751, 15130, 41219, 236761, 138, 107, 236772, 5180, 32579, 236858, 236751, 850, 653, 4301, 22238, 568, 34717, 3204, 1759, 236772, 2289, 8770, 6436, 573, 39393, 769, 138, 108, 1489, 6508, 236787, 95040, 60601, 699, 176399, 528, 197724, 573, 2480, 6224, 1082, 15130, 36582, 657, 506, 16047, 236888, 236743, 247068, 1452, 8426, 5571, 1774, 236772, 20353, 91038, 33050, 237028, 17993, 29919, 236772, 89195, 3402, 1265, 795, 7806, 611, 236761, 222194, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 4658, 1663, 573, 506, 7946, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 9279, 506, 5149, 1534, 39023, 236764, 28963, 532, 197724, 236764, 40496, 236881, 3551, 6853, 532, 564, 659, 6861, 6995, 600, 226319, 207827, 7946, 236764, 532, 564, 1202, 531, 5811, 855, 1217, 2793, 692, 236789, 236753, 577, 13515, 1680, 692, 1502, 15468, 855, 6267, 34106, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17178, 236779, 100403, 1083, 236743, 236800, 236810, 236778, 236810, 236764, 623, 6805, 1083, 623, 100403, 827, 623, 11679, 236779, 2084, 1083, 623, 36713, 10059, 25938, 106, 107, 105, 4368, 107, 818, 6850, 236772, 1257, 568, 36713, 10059, 236768, 5149, 1534, 5213, 192038, 236764, 28963, 1018, 532, 5213, 236780, 605, 1364, 236764, 40496, 1018, 563, 5213, 236800, 236764, 236810, 236778, 236810, 7635, 568, 236810, 236764, 236825, 236832, 236800, 35769, 62902, 236761, 1174, 9282, 506, 48037, 10224, 2479, 1534, 506, 1156, 9979, 236764, 3635, 5396, 4301, 5149, 1149, 9729, 10167, 580, 6267, 34106, 653, 3530, 10224, 16266, 236761, 138, 108, 39316, 33036, 580, 822, 226319, 207827, 19063, 2192, 625, 236858, 236751, 1771, 531, 577, 58931, 236888, 236743, 247506, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 4658, 1663, 573, 822, 7946, 6995, 236761, 103453, 106, 107, 105, 2364, 107, 24019, 236764, 7516, 237028, 43849, 573, 506, 5149, 14988, 236888, 4224, 600, 692, 236789, 560, 2506, 506, 51239, 19372, 236764, 1041, 6853, 532, 564, 659, 4875, 531, 5811, 855, 506, 990, 4954, 236761, 28344, 611, 2426, 506, 1873, 2263, 990, 808, 624, 236829, 59528, 9815, 573, 197724, 236764, 40496, 236881, 1191, 1461, 531, 1386, 2889, 692, 1537, 236858, 236745, 2601, 657, 236743, 236800, 496, 236761, 236757, 236761, 2263, 990, 532, 1345, 872, 60821, 40097, 12727, 10783, 1447, 1135, 506, 8180, 236761, 568, 5778, 236858, 236751, 3016, 26183, 786, 768, 564, 2260, 496, 2604, 236772, 18695, 236764, 564, 236858, 236757, 20537, 580, 506, 29919, 1063, 2033, 15520, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 236780, 605, 1364, 236764, 40496, 827, 623, 4002, 236779, 6047, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 827, 623, 101696, 236779, 10617, 1083, 9296, 236771, 236810, 236787, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 818, 1873, 2263, 990, 528, 5213, 236780, 605, 1364, 236764, 40496, 1018, 563, 5213, 236770, 236771, 236787, 236800, 236771, 8151, 568, 36817, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 62902, 236764, 532, 506, 59528, 9815, 563, 5213, 13902, 236772, 236810, 1018, 568, 218471, 1677, 808, 2217, 236829, 15739, 58745, 16011, 990, 236764, 834, 672, 9815, 7474, 9958, 1051, 236772, 979, 769, 138, 108, 2094, 2820, 197724, 563, 5213, 236810, 3885, 4977, 2372, 74259, 29063, 7578, 568, 13902, 62902, 236761, 1701, 5577, 236787, 138, 107, 236772, 1637, 625, 236858, 236751, 5213, 236800, 236787, 236771, 236771, 8711, 59528, 125546, 625, 236858, 236751, 5213, 236770, 236771, 236787, 236771, 236771, 8151, 528, 197724, 84750, 138, 107, 236772, 54287, 531, 39023, 568, 7650, 563, 5633, 580, 5213, 13902, 236772, 236812, 1018, 1913, 58745, 16011, 990, 779, 197724, 563, 5213, 236770, 6468, 4977, 1018, 39023, 236761, 138, 108, 4324, 768, 822, 10224, 36522, 528, 197724, 657, 236764, 1879, 236764, 5213, 236819, 236787, 236771, 236771, 8151, 2263, 990, 125546, 625, 1093, 2597, 1133, 5213, 236770, 236771, 236787, 236771, 236771, 8151, 39023, 990, 1018, 2192, 951, 40097, 12727, 10783, 1447, 1135, 506, 8180, 236888, 236743, 241851, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 16329, 10224, 16257, 2782, 653, 61232, 822, 76717, 236888, 236743, 244710, 238178, 106, 107, 105, 2364, 107, 24019, 236764, 4011, 237028, 43849, 573, 36888, 872, 506, 990, 10202, 19381, 236888, 3551, 6853, 1164, 32392, 786, 692, 236858, 859, 1202, 111101, 15130, 573, 1724, 2268, 86165, 9766, 3541, 226319, 207827, 236761, 28344, 611, 8091, 872, 506, 1873, 8770, 3136, 573, 5213, 38556, 531, 60601, 568, 5141, 86643, 5718, 62902, 236881, 39799, 236764, 1217, 1623, 236743, 236770, 236771, 236771, 23058, 1093, 974, 786, 236881, 2625, 236858, 236751, 3016, 26183, 786, 711, 531, 4491, 3097, 692, 2601, 531, 5811, 672, 855, 237028, 5455, 236772, 20353, 91038, 10294, 29885, 1116, 855, 919, 1082, 1041, 15576, 32088, 236772, 2865, 30583, 236888, 236743, 241851, 106, 107, 105, 4368, 107, 236777, 1537, 236858, 236745, 735, 2802, 531, 3892, 15130, 8770, 3136, 1262, 1343, 1041, 1873, 6436, 568, 9745, 529, 506, 3847, 56918, 6060, 97000, 6224, 769, 3153, 236764, 618, 529, 1041, 1774, 4122, 1262, 568, 1048, 531, 5505, 236743, 236778, 236771, 236778, 236812, 779, 506, 23494, 8770, 3136, 563, 5213, 236770, 23058, 67081, 236743, 236800, 236761, 236832, 236771, 60601, 1018, 568, 5141, 86643, 5718, 779, 6590, 5213, 236770, 236771, 236771, 23058, 1093, 974, 611, 20129, 236743, 236800, 236832, 236771, 60601, 84750, 138, 108, 2542, 506, 808, 3374, 11459, 236764, 872, 236772, 1071, 236772, 1437, 236772, 20353, 3136, 30237, 564, 236858, 236753, 5840, 16329, 236787, 138, 107, 236772, 562, 26576, 4867, 2509, 1133, 5213, 144052, 236761, 854, 125546, 5213, 19540, 19666, 125546, 653, 822, 4856, 236858, 236751, 15130, 41219, 236761, 138, 107, 236772, 5180, 32579, 236858, 236751, 850, 653, 4301, 22238, 568, 34717, 3204, 1759, 236772, 2289, 8770, 6436, 573, 39393, 769, 138, 108, 1489, 6508, 236787, 95040, 60601, 699, 176399, 528, 197724, 573, 2480, 6224, 1082, 15130, 36582, 657, 506, 16047, 236888, 236743, 247068, 1452, 8426, 5571, 1774, 236772, 20353, 91038, 33050, 237028, 17993, 29919, 236772, 89195, 3402, 1265, 795, 7806, 611, 236761, 222194, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 4658, 1663, 573, 506, 7946, 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, 1601, 6995, 496, 7715, 573, 496, 3402, 7946, 531, 3879, 236764, 10916, 9405, 236761, 3792, 236789, 236751, 1502, 684, 6611, 506, 5527, 5872, 528, 9405, 236761, 5315, 236764, 1161, 506, 2891, 236779, 7125, 236779, 3677, 531, 974, 4563, 532, 5527, 1262, 573, 9405, 236761, 4298, 236764, 33205, 7094, 1262, 573, 1041, 65911, 3393, 568, 236825, 236770, 236800, 236812, 236825, 236768, 531, 5608, 1041, 4867, 8101, 236761, 13472, 236764, 9279, 496, 28591, 10670, 2886, 2721, 580, 600, 7094, 532, 496, 236743, 236810, 236908, 2142, 3136, 531, 6054, 768, 564, 740, 9546, 506, 7946, 236761, 3792, 236789, 236751, 3654, 607, 506, 1171, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 34692, 827, 623, 7125, 236779, 1516, 1083, 3714, 41626, 1083, 623, 89946, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236810, 236770, 236761, 236770, 236825, 236810, 236832, 236764, 623, 41713, 1083, 236743, 236770, 236771, 236761, 236812, 236810, 236770, 236810, 1263, 623, 38428, 1083, 236743, 236828, 236800, 236778, 236812, 236771, 236810, 236778, 236810, 236764, 623, 7376, 1083, 236743, 236800, 236810, 236832, 236771, 236778, 236778, 236764, 623, 28255, 236779, 1516, 1083, 3714, 236759, 19615, 1083, 236743, 236812, 236778, 236810, 236810, 236761, 236828, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236810, 236770, 236770, 236778, 236771, 236764, 623, 602, 60123, 236779, 4720, 1083, 236743, 236810, 236761, 236832, 236764, 623, 113934, 236779, 4720, 1083, 236743, 236778, 236761, 236800, 1263, 623, 36344, 236779, 53343, 1083, 11058, 89946, 827, 623, 235555, 827, 623, 97267, 734, 827, 623, 236780, 68331, 827, 623, 33267, 40365, 1935, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 236779, 3970, 1083, 236743, 236825, 236770, 236800, 236812, 236825, 236764, 623, 3255, 1083, 623, 3334, 827, 623, 41129, 236779, 27163, 1083, 236743, 236825, 236778, 236771, 236771, 236771, 236764, 623, 159521, 236779, 27163, 236779, 52447, 1083, 3714, 6460, 236779, 236810, 236771, 236767, 1083, 236743, 236800, 236810, 236764, 623, 236810, 236771, 236767, 236779, 1071, 236779, 236770, 236771, 236771, 236767, 1083, 236743, 236812, 236810, 236764, 623, 1749, 236779, 236770, 236771, 236771, 236767, 1083, 236743, 236778, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 62327, 236779, 13304, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236764, 623, 4818, 1083, 623, 10934, 827, 623, 21878, 236779, 4720, 1083, 236743, 236810, 236761, 236771, 236764, 623, 71832, 236779, 24471, 1083, 236743, 236770, 236771, 236800, 236800, 236761, 236800, 236800, 236764, 623, 6061, 236779, 80227, 1083, 236743, 236778, 236812, 236783, 106, 107, 105, 4368, 107, 22515, 580, 506, 1262, 52236, 532, 15621, 236787, 108, 1018, 236770, 236761, 9405, 16875, 41959, 53121, 107, 236772, 27828, 810, 52956, 236787, 609, 236810, 236770, 236764, 236770, 236778, 236771, 568, 11480, 21186, 2066, 236768, 107, 236772, 158768, 3136, 236787, 236743, 236810, 236761, 236832, 236908, 568, 203483, 2708, 236768, 107, 236772, 80992, 3136, 236787, 236743, 236778, 236761, 236800, 236908, 568, 24137, 8122, 236768, 107, 236772, 18787, 9979, 236787, 15687, 236764, 48080, 236764, 46566, 568, 13769, 529, 4882, 22130, 236768, 108, 1018, 236778, 236761, 5180, 16906, 52976, 568, 92824, 236743, 236825, 236770, 236800, 236812, 236825, 1473, 1018, 107, 236772, 113009, 7094, 236787, 609, 236825, 236778, 236764, 236771, 236771, 236771, 236786, 3704, 107, 236772, 30521, 5296, 236787, 107, 138, 236772, 236743, 236800, 236810, 236908, 6637, 655, 236795, 236810, 236771, 236767, 107, 138, 236772, 236743, 236812, 236810, 236908, 6637, 609, 236810, 236771, 236767, 23278, 236770, 236771, 236771, 236767, 107, 138, 236772, 236743, 236778, 236771, 236908, 6637, 1890, 236795, 236770, 236771, 236771, 236767, 108, 1018, 236800, 236761, 37422, 86249, 568, 236810, 236908, 2142, 1473, 1018, 107, 236772, 609, 236778, 236771, 236764, 236771, 236771, 236771, 10670, 1024, 236743, 236778, 236812, 3794, 107, 236772, 50292, 7548, 236787, 609, 236770, 236764, 236771, 236800, 236800, 236761, 236800, 236800, 107, 236772, 12613, 69139, 236787, 609, 236778, 236812, 236764, 236828, 236771, 236771, 108, 1018, 201430, 53121, 107, 236770, 236761, 669, 10670, 1093, 2890, 496, 3629, 7946, 568, 120177, 900, 236743, 236778, 236772, 236800, 5695, 4196, 779, 840, 13822, 13192, 1093, 1660, 15318, 90352, 107, 236778, 236761, 14066, 16011, 1171, 753, 607, 609, 236825, 236778, 236767, 7094, 236764, 16011, 236743, 236770, 236810, 236772, 236778, 236771, 236908, 13822, 1451, 52768, 609, 236819, 236764, 236800, 236771, 236771, 23278, 236770, 236778, 236764, 236812, 236771, 236771, 236786, 3704, 107, 236800, 236761, 26922, 1913, 1135, 236772, 46858, 18046, 568, 5412, 236786, 10141, 236768, 531, 6439, 5384, 107, 236812, 236761, 14066, 10969, 8798, 528, 9405, 753, 7100, 9979, 2157, 236743, 236778, 236771, 236772, 236800, 236771, 236908, 2344, 1082, 15687, 236786, 97267, 734, 108, 38786, 611, 1133, 531, 11327, 1607, 10670, 25521, 653, 15749, 90353, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 496, 7715, 573, 496, 3402, 7946, 531, 3879, 236764, 10916, 9405, 236761, 3792, 236789, 236751, 1502, 684, 6611, 506, 5527, 5872, 528, 9405, 236761, 5315, 236764, 1161, 506, 2891, 236779, 7125, 236779, 3677, 531, 974, 4563, 532, 5527, 1262, 573, 9405, 236761, 4298, 236764, 33205, 7094, 1262, 573, 1041, 65911, 3393, 568, 236825, 236770, 236800, 236812, 236825, 236768, 531, 5608, 1041, 4867, 8101, 236761, 13472, 236764, 9279, 496, 28591, 10670, 2886, 2721, 580, 600, 7094, 532, 496, 236743, 236810, 236908, 2142, 3136, 531, 6054, 768, 564, 740, 9546, 506, 7946, 236761, 3792, 236789, 236751, 3654, 607, 506, 1171, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 34692, 827, 623, 7125, 236779, 1516, 1083, 3714, 41626, 1083, 623, 89946, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236810, 236770, 236761, 236770, 236825, 236810, 236832, 236764, 623, 41713, 1083, 236743, 236770, 236771, 236761, 236812, 236810, 236770, 236810, 1263, 623, 38428, 1083, 236743, 236828, 236800, 236778, 236812, 236771, 236810, 236778, 236810, 236764, 623, 7376, 1083, 236743, 236800, 236810, 236832, 236771, 236778, 236778, 236764, 623, 28255, 236779, 1516, 1083, 3714, 236759, 19615, 1083, 236743, 236812, 236778, 236810, 236810, 236761, 236828, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236810, 236770, 236770, 236778, 236771, 236764, 623, 602, 60123, 236779, 4720, 1083, 236743, 236810, 236761, 236832, 236764, 623, 113934, 236779, 4720, 1083, 236743, 236778, 236761, 236800, 1263, 623, 36344, 236779, 53343, 1083, 11058, 89946, 827, 623, 235555, 827, 623, 97267, 734, 827, 623, 236780, 68331, 827, 623, 33267, 40365, 1935, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 236779, 3970, 1083, 236743, 236825, 236770, 236800, 236812, 236825, 236764, 623, 3255, 1083, 623, 3334, 827, 623, 41129, 236779, 27163, 1083, 236743, 236825, 236778, 236771, 236771, 236771, 236764, 623, 159521, 236779, 27163, 236779, 52447, 1083, 3714, 6460, 236779, 236810, 236771, 236767, 1083, 236743, 236800, 236810, 236764, 623, 236810, 236771, 236767, 236779, 1071, 236779, 236770, 236771, 236771, 236767, 1083, 236743, 236812, 236810, 236764, 623, 1749, 236779, 236770, 236771, 236771, 236767, 1083, 236743, 236778, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 62327, 236779, 13304, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236764, 623, 4818, 1083, 623, 10934, 827, 623, 21878, 236779, 4720, 1083, 236743, 236810, 236761, 236771, 236764, 623, 71832, 236779, 24471, 1083, 236743, 236770, 236771, 236800, 236800, 236761, 236800, 236800, 236764, 623, 6061, 236779, 80227, 1083, 236743, 236778, 236812, 236783, 106, 107, 105, 4368, 107, 22515, 580, 506, 1262, 52236, 532, 15621, 236787, 108, 1018, 236770, 236761, 9405, 16875, 41959, 53121, 107, 236772, 27828, 810, 52956, 236787, 609, 236810, 236770, 236764, 236770, 236778, 236771, 568, 11480, 21186, 2066, 236768, 107, 236772, 158768, 3136, 236787, 236743, 236810, 236761, 236832, 236908, 568, 203483, 2708, 236768, 107, 236772, 80992, 3136, 236787, 236743, 236778, 236761, 236800, 236908, 568, 24137, 8122, 236768, 107, 236772, 18787, 9979, 236787, 15687, 236764, 48080, 236764, 46566, 568, 13769, 529, 4882, 22130, 236768, 108, 1018, 236778, 236761, 5180, 16906, 52976, 568, 92824, 236743, 236825, 236770, 236800, 236812, 236825, 1473, 1018, 107, 236772, 113009, 7094, 236787, 609, 236825, 236778, 236764, 236771, 236771, 236771, 236786, 3704, 107, 236772, 30521, 5296, 236787, 107, 138, 236772, 236743, 236800, 236810, 236908, 6637, 655, 236795, 236810, 236771, 236767, 107, 138, 236772, 236743, 236812, 236810, 236908, 6637, 609, 236810, 236771, 236767, 23278, 236770, 236771, 236771, 236767, 107, 138, 236772, 236743, 236778, 236771, 236908, 6637, 1890, 236795, 236770, 236771, 236771, 236767, 108, 1018, 236800, 236761, 37422, 86249, 568, 236810, 236908, 2142, 1473, 1018, 107, 236772, 609, 236778, 236771, 236764, 236771, 236771, 236771, 10670, 1024, 236743, 236778, 236812, 3794, 107, 236772, 50292, 7548, 236787, 609, 236770, 236764, 236771, 236800, 236800, 236761, 236800, 236800, 107, 236772, 12613, 69139, 236787, 609, 236778, 236812, 236764, 236828, 236771, 236771, 108, 1018, 201430, 53121, 107, 236770, 236761, 669, 10670, 1093, 2890, 496, 3629, 7946, 568, 120177, 900, 236743, 236778, 236772, 236800, 5695, 4196, 779, 840, 13822, 13192, 1093, 1660, 15318, 90352, 107, 236778, 236761, 14066, 16011, 1171, 753, 607, 609, 236825, 236778, 236767, 7094, 236764, 16011, 236743, 236770, 236810, 236772, 236778, 236771, 236908, 13822, 1451, 52768, 609, 236819, 236764, 236800, 236771, 236771, 23278, 236770, 236778, 236764, 236812, 236771, 236771, 236786, 3704, 107, 236800, 236761, 26922, 1913, 1135, 236772, 46858, 18046, 568, 5412, 236786, 10141, 236768, 531, 6439, 5384, 107, 236812, 236761, 14066, 10969, 8798, 528, 9405, 753, 7100, 9979, 2157, 236743, 236778, 236771, 236772, 236800, 236771, 236908, 2344, 1082, 15687, 236786, 97267, 734, 108, 38786, 611, 1133, 531, 11327, 1607, 10670, 25521, 653, 15749, 90353, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1461, 531, 2426, 506, 12085, 6803, 573, 11669, 46627, 3287, 12232, 236761, 669, 5404, 2473, 577, 54543, 653, 152935, 236761, 5315, 2056, 54543, 236764, 532, 768, 600, 4038, 236789, 236745, 981, 236764, 2056, 152935, 236761, 9920, 611, 974, 506, 6803, 236764, 1299, 974, 506, 1873, 2862, 8283, 573, 506, 4338, 5404, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 76341, 827, 623, 8344, 1083, 236743, 236812, 236828, 236778, 236771, 236771, 236771, 236771, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 12085, 6803, 573, 11669, 46627, 3287, 12232, 568, 76341, 236768, 563, 5213, 236812, 236828, 236764, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 1018, 12085, 236764, 618, 52236, 699, 506, 225933, 19666, 13827, 5774, 9299, 236761, 236743, 108, 2021, 7162, 607, 3978, 506, 1873, 2862, 1938, 573, 54543, 236764, 564, 236789, 859, 1202, 506, 2862, 8770, 1298, 625, 236789, 236751, 9456, 568, 236744, 236761, 236759, 1126, 188196, 236764, 200273, 769, 28344, 611, 2847, 506, 8770, 1463, 236881, 106, 107, 105, 2364, 107, 818, 2862, 563, 9456, 580, 188196, 236761, 7323, 7162, 607, 600, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 76341, 827, 623, 39588, 1083, 623, 84203, 827, 623, 8344, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 1083, 236743, 236812, 236828, 236761, 236832, 236810, 236764, 623, 16350, 236779, 5565, 1083, 623, 236778, 236761, 236770, 236799, 827, 623, 4818, 1083, 623, 5034, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 2862, 1938, 573, 11669, 46627, 3287, 12232, 568, 76341, 236768, 9456, 580, 188196, 236787, 108, 1018, 27320, 20303, 53121, 107, 236772, 5213, 83857, 43542, 53121, 236743, 236770, 236778, 236764, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 568, 2543, 2862, 8283, 236768, 7728, 236761, 236743, 236812, 236828, 236764, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 568, 2543, 6803, 2426, 12016, 107, 236772, 5213, 11280, 53121, 609, 236812, 236828, 236761, 236832, 236810, 107, 236772, 5213, 40219, 6395, 53121, 609, 236778, 236761, 236770, 236799, 107, 236772, 5213, 6717, 53121, 23531, 108, 236829, 10282, 236787, 669, 59725, 528, 12085, 6803, 2979, 1149, 10128, 52726, 1262, 7021, 653, 21238, 236761, 21284, 611, 1133, 786, 531, 17395, 3342, 568, 236744, 236761, 236759, 1126, 16807, 5404, 10634, 236764, 2426, 152935, 5205, 236768, 653, 6361, 607, 4658, 1663, 236881, 106, 107, 105, 2364, 107, 6845, 506, 12085, 6803, 573, 152935, 1492, 531, 1460, 768, 625, 12853, 506, 236743, 236770, 236778, 236761, 236810, 236792, 1548, 699, 506, 2862, 8283, 236761, 1637, 625, 1677, 236764, 9128, 600, 236789, 236751, 506, 4338, 5404, 236761, 1637, 711, 236764, 5811, 855, 3217, 993, 236789, 236751, 496, 4954, 1534, 506, 6436, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 236792, 9575, 827, 623, 158076, 236779, 8344, 1083, 236743, 236770, 236771, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 51274, 46627, 3287, 12232, 827, 623, 22037, 1083, 623, 236792, 9575, 827, 623, 39588, 1083, 623, 84203, 827, 623, 4002, 236779, 9707, 1083, 236743, 236812, 236810, 236761, 236825, 236832, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236764, 623, 158076, 236779, 8344, 1083, 236743, 236770, 236771, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 16350, 236779, 5565, 1083, 236743, 236812, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 818, 3671, 21577, 236787, 108, 236770, 236761, 5213, 23135, 152935, 568, 129647, 58940, 1473, 1018, 138, 107, 139, 236772, 5213, 28534, 7343, 53121, 11669, 46627, 3287, 12232, 568, 25541, 2430, 236789, 236751, 2864, 236768, 138, 107, 139, 236772, 5213, 83857, 43542, 53121, 236743, 236770, 236771, 236764, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 568, 2543, 2165, 828, 236779, 14973, 236779, 3906, 18833, 138, 107, 139, 236772, 5213, 4830, 906, 236758, 5710, 53121, 669, 2165, 158076, 236779, 8344, 236929, 5904, 71330, 7248, 236743, 236770, 236771, 236810, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 568, 19609, 496, 20632, 236786, 6805, 3165, 769, 138, 108, 236778, 236761, 5213, 23135, 54543, 568, 82727, 236786, 3949, 13386, 1473, 1018, 138, 107, 139, 236772, 5213, 83857, 43542, 53121, 236743, 236812, 236828, 236764, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 568, 2543, 2165, 158076, 236779, 8344, 18833, 7728, 236761, 236743, 236770, 236778, 236764, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 568, 2543, 2165, 828, 236779, 14973, 236779, 3906, 59395, 138, 107, 139, 236772, 1174, 97592, 12205, 54543, 563, 3477, 614, 59891, 5404, 653, 496, 1262, 3165, 236761, 138, 108, 1018, 30792, 53121, 138, 107, 236772, 5213, 236792, 9575, 1018, 563, 506, 4338, 5404, 573, 11669, 46627, 3287, 12232, 580, 188196, 236761, 138, 107, 236772, 669, 59725, 528, 6803, 2979, 1534, 6436, 4547, 38069, 699, 496, 1262, 53892, 3165, 568, 236744, 236761, 236759, 1126, 2165, 158076, 236779, 8344, 236929, 5904, 3930, 87551, 236743, 236770, 236771, 236761, 236810, 236792, 618, 236743, 236770, 236771, 236810, 236792, 769, 138, 108, 1018, 211199, 53121, 138, 107, 236772, 6890, 5213, 236792, 9575, 1018, 573, 11459, 2862, 1262, 236761, 138, 107, 236772, 66636, 607, 496, 10929, 3738, 653, 3662, 506, 9299, 12454, 531, 14245, 506, 6803, 97592, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 65977, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1461, 531, 2426, 506, 12085, 6803, 573, 11669, 46627, 3287, 12232, 236761, 669, 5404, 2473, 577, 54543, 653, 152935, 236761, 5315, 2056, 54543, 236764, 532, 768, 600, 4038, 236789, 236745, 981, 236764, 2056, 152935, 236761, 9920, 611, 974, 506, 6803, 236764, 1299, 974, 506, 1873, 2862, 8283, 573, 506, 4338, 5404, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 76341, 827, 623, 8344, 1083, 236743, 236812, 236828, 236778, 236771, 236771, 236771, 236771, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 12085, 6803, 573, 11669, 46627, 3287, 12232, 568, 76341, 236768, 563, 5213, 236812, 236828, 236764, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 1018, 12085, 236764, 618, 52236, 699, 506, 225933, 19666, 13827, 5774, 9299, 236761, 236743, 108, 2021, 7162, 607, 3978, 506, 1873, 2862, 1938, 573, 54543, 236764, 564, 236789, 859, 1202, 506, 2862, 8770, 1298, 625, 236789, 236751, 9456, 568, 236744, 236761, 236759, 1126, 188196, 236764, 200273, 769, 28344, 611, 2847, 506, 8770, 1463, 236881, 106, 107, 105, 2364, 107, 818, 2862, 563, 9456, 580, 188196, 236761, 7323, 7162, 607, 600, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 76341, 827, 623, 39588, 1083, 623, 84203, 827, 623, 8344, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 1083, 236743, 236812, 236828, 236761, 236832, 236810, 236764, 623, 16350, 236779, 5565, 1083, 623, 236778, 236761, 236770, 236799, 827, 623, 4818, 1083, 623, 5034, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 2862, 1938, 573, 11669, 46627, 3287, 12232, 568, 76341, 236768, 9456, 580, 188196, 236787, 108, 1018, 27320, 20303, 53121, 107, 236772, 5213, 83857, 43542, 53121, 236743, 236770, 236778, 236764, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 568, 2543, 2862, 8283, 236768, 7728, 236761, 236743, 236812, 236828, 236764, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 568, 2543, 6803, 2426, 12016, 107, 236772, 5213, 11280, 53121, 609, 236812, 236828, 236761, 236832, 236810, 107, 236772, 5213, 40219, 6395, 53121, 609, 236778, 236761, 236770, 236799, 107, 236772, 5213, 6717, 53121, 23531, 108, 236829, 10282, 236787, 669, 59725, 528, 12085, 6803, 2979, 1149, 10128, 52726, 1262, 7021, 653, 21238, 236761, 21284, 611, 1133, 786, 531, 17395, 3342, 568, 236744, 236761, 236759, 1126, 16807, 5404, 10634, 236764, 2426, 152935, 5205, 236768, 653, 6361, 607, 4658, 1663, 236881, 106, 107, 105, 2364, 107, 6845, 506, 12085, 6803, 573, 152935, 1492, 531, 1460, 768, 625, 12853, 506, 236743, 236770, 236778, 236761, 236810, 236792, 1548, 699, 506, 2862, 8283, 236761, 1637, 625, 1677, 236764, 9128, 600, 236789, 236751, 506, 4338, 5404, 236761, 1637, 711, 236764, 5811, 855, 3217, 993, 236789, 236751, 496, 4954, 1534, 506, 6436, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 236792, 9575, 827, 623, 158076, 236779, 8344, 1083, 236743, 236770, 236771, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 51274, 46627, 3287, 12232, 827, 623, 22037, 1083, 623, 236792, 9575, 827, 623, 39588, 1083, 623, 84203, 827, 623, 4002, 236779, 9707, 1083, 236743, 236812, 236810, 236761, 236825, 236832, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236764, 623, 158076, 236779, 8344, 1083, 236743, 236770, 236771, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 16350, 236779, 5565, 1083, 236743, 236812, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 818, 3671, 21577, 236787, 108, 236770, 236761, 5213, 23135, 152935, 568, 129647, 58940, 1473, 1018, 138, 107, 139, 236772, 5213, 28534, 7343, 53121, 11669, 46627, 3287, 12232, 568, 25541, 2430, 236789, 236751, 2864, 236768, 138, 107, 139, 236772, 5213, 83857, 43542, 53121, 236743, 236770, 236771, 236764, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 568, 2543, 2165, 828, 236779, 14973, 236779, 3906, 18833, 138, 107, 139, 236772, 5213, 4830, 906, 236758, 5710, 53121, 669, 2165, 158076, 236779, 8344, 236929, 5904, 71330, 7248, 236743, 236770, 236771, 236810, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 568, 19609, 496, 20632, 236786, 6805, 3165, 769, 138, 108, 236778, 236761, 5213, 23135, 54543, 568, 82727, 236786, 3949, 13386, 1473, 1018, 138, 107, 139, 236772, 5213, 83857, 43542, 53121, 236743, 236812, 236828, 236764, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 568, 2543, 2165, 158076, 236779, 8344, 18833, 7728, 236761, 236743, 236770, 236778, 236764, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 568, 2543, 2165, 828, 236779, 14973, 236779, 3906, 59395, 138, 107, 139, 236772, 1174, 97592, 12205, 54543, 563, 3477, 614, 59891, 5404, 653, 496, 1262, 3165, 236761, 138, 108, 1018, 30792, 53121, 138, 107, 236772, 5213, 236792, 9575, 1018, 563, 506, 4338, 5404, 573, 11669, 46627, 3287, 12232, 580, 188196, 236761, 138, 107, 236772, 669, 59725, 528, 6803, 2979, 1534, 6436, 4547, 38069, 699, 496, 1262, 53892, 3165, 568, 236744, 236761, 236759, 1126, 2165, 158076, 236779, 8344, 236929, 5904, 3930, 87551, 236743, 236770, 236771, 236761, 236810, 236792, 618, 236743, 236770, 236771, 236810, 236792, 769, 138, 108, 1018, 211199, 53121, 138, 107, 236772, 6890, 5213, 236792, 9575, 1018, 573, 11459, 2862, 1262, 236761, 138, 107, 236772, 66636, 607, 496, 10929, 3738, 653, 3662, 506, 9299, 12454, 531, 14245, 506, 6803, 97592, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 65977, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 735, 496, 1440, 10739, 573, 496, 27893, 13234, 4187, 600, 564, 1461, 531, 4024, 580, 2777, 4009, 236764, 840, 625, 236789, 236751, 2311, 1440, 573, 506, 1868, 236761, 5315, 236764, 564, 1202, 611, 531, 85329, 672, 10739, 236787, 4560, 1411, 2769, 236761, 36227, 10958, 229601, 236761, 2187, 236786, 26233, 236786, 236800, 236812, 236810, 236778, 236770, 236786, 5843, 236772, 144938, 236772, 11679, 236761, 9920, 611, 236789, 560, 73625, 625, 236764, 564, 992, 1202, 611, 531, 2619, 496, 1855, 73625, 3205, 573, 496, 16074, 3104, 600, 5132, 506, 1171, 73625, 10739, 618, 496, 7689, 236761, 669, 16074, 3104, 10739, 1374, 1385, 1133, 672, 236787, 4560, 1411, 75884, 236761, 36227, 10958, 229601, 236761, 2187, 236786, 11861, 236881, 6265, 236784, 75441, 236779, 44985, 1439, 2413, 236779, 6738, 236779, 12794, 236761, 3792, 236789, 236751, 1502, 607, 506, 1171, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15721, 4027, 236779, 2451, 1083, 623, 2574, 1411, 15721, 236761, 2451, 236786, 28180, 236770, 236778, 236800, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15721, 4027, 236779, 2451, 1083, 623, 2574, 1411, 15721, 236761, 2451, 236786, 11861, 236812, 236810, 236825, 25938, 106, 107, 105, 4368, 107, 8291, 659, 822, 73625, 60973, 236787, 108, 236770, 236761, 5213, 181887, 23855, 11251, 66515, 138, 107, 139, 236929, 2574, 1411, 15721, 236761, 2451, 236786, 28180, 236770, 236778, 236800, 236929, 108, 236778, 236761, 5213, 58791, 11338, 66515, 138, 107, 139, 236929, 2574, 1411, 15721, 236761, 2451, 236786, 11861, 236812, 236810, 236825, 236929, 138, 108, 22186, 9851, 659, 5508, 573, 1161, 236761, 669, 16074, 3104, 10739, 11269, 5132, 506, 1171, 73625, 3205, 618, 506, 2165, 6265, 236929, 7689, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 735, 496, 1440, 10739, 573, 496, 27893, 13234, 4187, 600, 564, 1461, 531, 4024, 580, 2777, 4009, 236764, 840, 625, 236789, 236751, 2311, 1440, 573, 506, 1868, 236761, 5315, 236764, 564, 1202, 611, 531, 85329, 672, 10739, 236787, 4560, 1411, 2769, 236761, 36227, 10958, 229601, 236761, 2187, 236786, 26233, 236786, 236800, 236812, 236810, 236778, 236770, 236786, 5843, 236772, 144938, 236772, 11679, 236761, 9920, 611, 236789, 560, 73625, 625, 236764, 564, 992, 1202, 611, 531, 2619, 496, 1855, 73625, 3205, 573, 496, 16074, 3104, 600, 5132, 506, 1171, 73625, 10739, 618, 496, 7689, 236761, 669, 16074, 3104, 10739, 1374, 1385, 1133, 672, 236787, 4560, 1411, 75884, 236761, 36227, 10958, 229601, 236761, 2187, 236786, 11861, 236881, 6265, 236784, 75441, 236779, 44985, 1439, 2413, 236779, 6738, 236779, 12794, 236761, 3792, 236789, 236751, 1502, 607, 506, 1171, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15721, 4027, 236779, 2451, 1083, 623, 2574, 1411, 15721, 236761, 2451, 236786, 28180, 236770, 236778, 236800, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15721, 4027, 236779, 2451, 1083, 623, 2574, 1411, 15721, 236761, 2451, 236786, 11861, 236812, 236810, 236825, 25938, 106, 107, 105, 4368, 107, 8291, 659, 822, 73625, 60973, 236787, 108, 236770, 236761, 5213, 181887, 23855, 11251, 66515, 138, 107, 139, 236929, 2574, 1411, 15721, 236761, 2451, 236786, 28180, 236770, 236778, 236800, 236929, 108, 236778, 236761, 5213, 58791, 11338, 66515, 138, 107, 139, 236929, 2574, 1411, 15721, 236761, 2451, 236786, 11861, 236812, 236810, 236825, 236929, 138, 108, 22186, 9851, 659, 5508, 573, 1161, 236761, 669, 16074, 3104, 10739, 11269, 5132, 506, 1171, 73625, 3205, 618, 506, 2165, 6265, 236929, 7689, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 560, 1010, 63114, 1041, 17856, 3393, 573, 3885, 532, 14995, 564, 1202, 496, 2480, 5577, 2260, 580, 17927, 236761, 3199, 611, 2426, 9593, 573, 756, 236823, 34956, 8971, 85073, 236789, 684, 156838, 11741, 1187, 1797, 236881, 564, 1461, 531, 1281, 1061, 1873, 3385, 236764, 24074, 236764, 532, 15830, 236761, 7062, 236764, 532, 1386, 2889, 625, 236789, 236751, 1208, 609, 236810, 236771, 1271, 90352, 573, 1041, 2148, 27893, 7946, 2311, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 1083, 3714, 3250, 1083, 623, 236823, 34956, 8971, 85073, 236787, 1455, 18640, 8214, 573, 88487, 532, 1032, 23210, 1331, 827, 623, 9707, 1083, 236743, 236800, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 66850, 1083, 236743, 236770, 236828, 236819, 236778, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 7777, 1083, 623, 236776, 10841, 1769, 580, 7157, 17927, 607, 7426, 46119, 532, 10231, 8698, 236761, 26079, 573, 1265, 236772, 166902, 88487, 236764, 20446, 7194, 4866, 236764, 532, 6533, 23210, 1003, 506, 13179, 4977, 3364, 17927, 10498, 623, 16518, 1083, 11058, 20216, 236764, 18640, 46119, 827, 623, 54968, 236772, 498, 20446, 20958, 827, 623, 32651, 236772, 5140, 8698, 827, 623, 22406, 884, 16783, 27187, 14255, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236823, 34956, 8971, 236772, 151264, 236772, 178583, 236772, 17185, 22335, 236772, 1643, 1434, 236786, 19615, 236786, 236770, 236825, 236770, 236832, 236778, 236819, 236778, 236778, 236800, 236771, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 808, 236823, 34956, 8971, 85073, 236829, 684, 156838, 11741, 1187, 1797, 236787, 108, 236772, 5213, 11280, 66515, 609, 236800, 236819, 236761, 236819, 236819, 23058, 568, 240732, 8382, 609, 236810, 236771, 15520, 138, 107, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 236786, 236810, 568, 236770, 236764, 236828, 236819, 236778, 10595, 236768, 138, 107, 236772, 5213, 51164, 66515, 799, 13827, 568, 40090, 17793, 236768, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 24246, 236764, 18640, 46119, 138, 107, 138, 236772, 17856, 236772, 5140, 20446, 8698, 138, 107, 138, 236772, 44300, 236772, 498, 20958, 573, 5428, 138, 107, 138, 236772, 8098, 573, 7194, 4866, 653, 1265, 236772, 44215, 138, 108, 818, 2260, 5072, 6112, 10325, 532, 19009, 822, 7715, 13275, 236888, 236743, 244878, 138, 107, 236840, 2039, 580, 9593, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236823, 34956, 8971, 236772, 151264, 236772, 178583, 236772, 17185, 22335, 236772, 1643, 1434, 236786, 19615, 236786, 236770, 236825, 236770, 236832, 236778, 236819, 236778, 236778, 236800, 236771, 236768, 106, 107, 105, 2364, 107, 12879, 573, 506, 2260, 8283, 236888, 4224, 236764, 564, 1202, 531, 4351, 496, 27472, 27893, 27263, 1208, 609, 236810, 236771, 573, 1041, 226319, 207827, 4122, 71634, 236761, 3199, 611, 2426, 9593, 573, 506, 756, 236814, 651, 14968, 23855, 236743, 236812, 236771, 236798, 236789, 2028, 236881, 19704, 3385, 236764, 3825, 55455, 236764, 532, 5602, 10595, 1003, 39601, 236761, 22282, 77372, 768, 625, 236858, 236751, 1208, 609, 236810, 236771, 532, 815, 236743, 236812, 236862, 8197, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 1201, 1083, 623, 236814, 651, 14968, 23855, 236743, 236812, 236771, 236798, 117410, 827, 623, 9707, 1083, 6610, 236812, 236819, 236761, 236819, 236819, 827, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 7777, 1083, 623, 12098, 6078, 236743, 236812, 236771, 236798, 27893, 27263, 607, 43389, 100068, 236764, 20511, 236772, 36954, 9130, 236764, 532, 29929, 19022, 1458, 236761, 163065, 236751, 236743, 236778, 236761, 236810, 16931, 568, 236770, 236761, 236770, 236800, 11944, 769, 45891, 573, 5074, 236772, 1496, 204464, 532, 4122, 71634, 10498, 623, 70686, 1083, 3714, 28128, 1083, 236743, 236812, 236761, 236825, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236828, 236832, 236764, 623, 7284, 3843, 1083, 3714, 236810, 236779, 7991, 1083, 236743, 236832, 236828, 236764, 623, 236812, 236779, 7991, 1083, 236743, 236770, 236828, 236764, 623, 236800, 236779, 7991, 1083, 236743, 236800, 236764, 623, 236778, 236779, 7991, 1083, 236743, 236771, 236761, 236810, 236764, 623, 236770, 236779, 7991, 1083, 236743, 236771, 236761, 236810, 5237, 623, 2478, 236779, 16518, 1083, 11058, 17390, 236772, 36954, 233099, 827, 623, 5529, 79786, 6927, 2890, 827, 623, 48873, 71552, 236772, 42452, 66771, 827, 623, 19574, 236759, 44805, 71009, 16240, 17393, 14255, 623, 73769, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8283, 573, 506, 5213, 236814, 651, 14968, 23855, 236743, 236812, 236771, 236798, 117410, 66515, 108, 236772, 5213, 11280, 66515, 609, 236812, 236819, 236761, 236819, 236819, 23058, 568, 240732, 8382, 609, 236810, 236771, 15520, 138, 107, 236772, 5213, 17115, 66515, 236743, 236778, 236761, 236810, 16931, 568, 236770, 236761, 236770, 236800, 11944, 236768, 1271, 27472, 573, 496, 236743, 236812, 236771, 236798, 3294, 138, 107, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236825, 236786, 236810, 568, 236770, 236764, 236778, 236828, 236832, 10595, 236768, 138, 107, 138, 236772, 236743, 236832, 236828, 236908, 236743, 236810, 236772, 7991, 236764, 236743, 236770, 236828, 236908, 236743, 236812, 236772, 7991, 138, 107, 236772, 5213, 38682, 2109, 24118, 66515, 138, 107, 138, 236772, 210636, 100068, 532, 20511, 236772, 36954, 9130, 138, 107, 138, 236772, 7768, 236772, 36954, 233099, 532, 142696, 6927, 2890, 138, 107, 138, 236772, 34489, 66771, 573, 13957, 13290, 6310, 138, 108, 54133, 573, 822, 226319, 207827, 4122, 71634, 1271, 625, 236858, 236751, 2351, 7715, 236764, 6112, 25118, 236764, 532, 5284, 573, 52803, 1161, 236888, 236743, 249072, 238178, 138, 107, 236840, 2039, 580, 9593, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 236768, 106, 107, 105, 2364, 107, 54133, 236888, 4224, 564, 1202, 496, 24282, 2066, 4856, 573, 1041, 71634, 1271, 236743, 236778, 236771, 236764, 236771, 236771, 236771, 117203, 36149, 1208, 609, 236810, 236771, 236764, 236743, 236812, 236862, 8197, 236761, 7179, 506, 2141, 2267, 5806, 7338, 11834, 236743, 236778, 236771, 236771, 236771, 236771, 236858, 580, 9593, 236761, 19704, 3825, 55455, 2311, 1271, 740, 236858, 236745, 6081, 47290, 872, 13254, 236888, 22282, 77372, 768, 625, 236858, 236751, 2351, 7715, 532, 815, 39601, 10595, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 1201, 1083, 623, 2267, 5806, 7338, 11834, 236743, 236778, 236771, 236771, 236771, 236771, 827, 623, 9707, 1083, 6610, 236800, 236819, 236761, 236819, 236819, 827, 623, 7777, 1083, 623, 236778, 236771, 236771, 236771, 236771, 82854, 24282, 43776, 607, 14413, 15425, 23961, 236764, 22346, 236772, 41818, 1702, 236764, 532, 7338, 79463, 4181, 573, 4592, 19416, 529, 40107, 236764, 31351, 236764, 532, 1032, 7359, 10498, 623, 13126, 1083, 3714, 28128, 1083, 236743, 236812, 236761, 236825, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236810, 236778, 236800, 236812, 1263, 623, 56905, 1083, 623, 902, 2862, 568, 18101, 699, 9593, 22730, 623, 5690, 8112, 1083, 3714, 6078, 236779, 39515, 1083, 236743, 236770, 236770, 236761, 236778, 236764, 623, 63265, 236779, 40254, 1083, 623, 236825, 236761, 236770, 1123, 236743, 236778, 236761, 236832, 1123, 236743, 236771, 236761, 236819, 827, 623, 95620, 236779, 48578, 236779, 82854, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 1263, 623, 2478, 236779, 16518, 1083, 11058, 236812, 236761, 236825, 236772, 7991, 39601, 14470, 699, 11690, 48030, 827, 623, 12098, 6078, 20743, 66557, 568, 236770, 236770, 236761, 236778, 16109, 578, 2578, 236800, 236770, 236832, 236759, 22730, 623, 108237, 236743, 236770, 236771, 236764, 236771, 236771, 236771, 236862, 52803, 1161, 22044, 528, 4796, 7257, 827, 623, 94992, 4022, 2644, 236787, 753, 236770, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 531, 236743, 236812, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 14255, 623, 86211, 236779, 6011, 1083, 3714, 49426, 236779, 51128, 1083, 1847, 236764, 623, 9707, 236779, 18308, 1083, 3714, 117835, 236779, 236819, 236771, 236779, 14356, 1083, 6610, 236800, 236812, 236761, 236819, 236819, 827, 623, 4002, 236779, 70343, 1083, 623, 236770, 236810, 236908, 1135, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 25890, 573, 506, 5213, 2267, 5806, 7338, 11834, 236743, 236778, 236771, 236771, 236771, 236771, 66515, 108, 236772, 5213, 11280, 66515, 609, 236800, 236819, 236761, 236819, 236819, 23058, 568, 240732, 8382, 609, 236810, 236771, 15520, 138, 107, 236772, 5213, 94824, 61242, 66515, 236743, 236778, 236771, 236764, 236771, 236771, 236771, 117203, 568, 119899, 573, 236743, 236810, 236862, 5154, 10814, 236768, 138, 107, 236772, 5213, 17115, 66515, 236743, 236770, 236770, 236761, 236778, 16109, 568, 236800, 236770, 236832, 236759, 236768, 1271, 11236, 573, 1061, 6541, 138, 107, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236825, 236786, 236810, 568, 236770, 236810, 236764, 236778, 236800, 236812, 10595, 236768, 138, 107, 236772, 5213, 38682, 2109, 70731, 66515, 138, 107, 138, 236772, 81524, 66557, 10418, 573, 236743, 236770, 236771, 236764, 236771, 236771, 236771, 236862, 52803, 1161, 22044, 138, 107, 138, 236772, 109559, 2031, 13610, 14567, 15554, 236770, 236771, 237366, 236780, 531, 236743, 236812, 236810, 237366, 236780, 236768, 138, 107, 138, 236772, 236743, 236812, 236761, 236825, 236772, 7991, 39601, 14470, 699, 11690, 5089, 138, 108, 54133, 27893, 29444, 1271, 27472, 236764, 22937, 236764, 532, 609, 236770, 236771, 1208, 822, 7715, 236888, 236743, 252854, 138, 107, 236840, 2039, 580, 9593, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 236768, 138, 108, 236791, 236761, 236773, 236761, 1030, 236858, 236751, 5633, 580, 6235, 568, 236770, 236810, 236908, 1135, 236768, 607, 496, 14723, 3385, 529, 609, 236800, 236812, 236761, 236819, 236819, 528, 4803, 4083, 1271, 1822, 21238, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 560, 1010, 63114, 1041, 17856, 3393, 573, 3885, 532, 14995, 564, 1202, 496, 2480, 5577, 2260, 580, 17927, 236761, 3199, 611, 2426, 9593, 573, 756, 236823, 34956, 8971, 85073, 236789, 684, 156838, 11741, 1187, 1797, 236881, 564, 1461, 531, 1281, 1061, 1873, 3385, 236764, 24074, 236764, 532, 15830, 236761, 7062, 236764, 532, 1386, 2889, 625, 236789, 236751, 1208, 609, 236810, 236771, 1271, 90352, 573, 1041, 2148, 27893, 7946, 2311, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 1083, 3714, 3250, 1083, 623, 236823, 34956, 8971, 85073, 236787, 1455, 18640, 8214, 573, 88487, 532, 1032, 23210, 1331, 827, 623, 9707, 1083, 236743, 236800, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 66850, 1083, 236743, 236770, 236828, 236819, 236778, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 7777, 1083, 623, 236776, 10841, 1769, 580, 7157, 17927, 607, 7426, 46119, 532, 10231, 8698, 236761, 26079, 573, 1265, 236772, 166902, 88487, 236764, 20446, 7194, 4866, 236764, 532, 6533, 23210, 1003, 506, 13179, 4977, 3364, 17927, 10498, 623, 16518, 1083, 11058, 20216, 236764, 18640, 46119, 827, 623, 54968, 236772, 498, 20446, 20958, 827, 623, 32651, 236772, 5140, 8698, 827, 623, 22406, 884, 16783, 27187, 14255, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236823, 34956, 8971, 236772, 151264, 236772, 178583, 236772, 17185, 22335, 236772, 1643, 1434, 236786, 19615, 236786, 236770, 236825, 236770, 236832, 236778, 236819, 236778, 236778, 236800, 236771, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 808, 236823, 34956, 8971, 85073, 236829, 684, 156838, 11741, 1187, 1797, 236787, 108, 236772, 5213, 11280, 66515, 609, 236800, 236819, 236761, 236819, 236819, 23058, 568, 240732, 8382, 609, 236810, 236771, 15520, 138, 107, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 236786, 236810, 568, 236770, 236764, 236828, 236819, 236778, 10595, 236768, 138, 107, 236772, 5213, 51164, 66515, 799, 13827, 568, 40090, 17793, 236768, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 24246, 236764, 18640, 46119, 138, 107, 138, 236772, 17856, 236772, 5140, 20446, 8698, 138, 107, 138, 236772, 44300, 236772, 498, 20958, 573, 5428, 138, 107, 138, 236772, 8098, 573, 7194, 4866, 653, 1265, 236772, 44215, 138, 108, 818, 2260, 5072, 6112, 10325, 532, 19009, 822, 7715, 13275, 236888, 236743, 244878, 138, 107, 236840, 2039, 580, 9593, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236823, 34956, 8971, 236772, 151264, 236772, 178583, 236772, 17185, 22335, 236772, 1643, 1434, 236786, 19615, 236786, 236770, 236825, 236770, 236832, 236778, 236819, 236778, 236778, 236800, 236771, 236768, 106, 107, 105, 2364, 107, 12879, 573, 506, 2260, 8283, 236888, 4224, 236764, 564, 1202, 531, 4351, 496, 27472, 27893, 27263, 1208, 609, 236810, 236771, 573, 1041, 226319, 207827, 4122, 71634, 236761, 3199, 611, 2426, 9593, 573, 506, 756, 236814, 651, 14968, 23855, 236743, 236812, 236771, 236798, 236789, 2028, 236881, 19704, 3385, 236764, 3825, 55455, 236764, 532, 5602, 10595, 1003, 39601, 236761, 22282, 77372, 768, 625, 236858, 236751, 1208, 609, 236810, 236771, 532, 815, 236743, 236812, 236862, 8197, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 1201, 1083, 623, 236814, 651, 14968, 23855, 236743, 236812, 236771, 236798, 117410, 827, 623, 9707, 1083, 6610, 236812, 236819, 236761, 236819, 236819, 827, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 7777, 1083, 623, 12098, 6078, 236743, 236812, 236771, 236798, 27893, 27263, 607, 43389, 100068, 236764, 20511, 236772, 36954, 9130, 236764, 532, 29929, 19022, 1458, 236761, 163065, 236751, 236743, 236778, 236761, 236810, 16931, 568, 236770, 236761, 236770, 236800, 11944, 769, 45891, 573, 5074, 236772, 1496, 204464, 532, 4122, 71634, 10498, 623, 70686, 1083, 3714, 28128, 1083, 236743, 236812, 236761, 236825, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236828, 236832, 236764, 623, 7284, 3843, 1083, 3714, 236810, 236779, 7991, 1083, 236743, 236832, 236828, 236764, 623, 236812, 236779, 7991, 1083, 236743, 236770, 236828, 236764, 623, 236800, 236779, 7991, 1083, 236743, 236800, 236764, 623, 236778, 236779, 7991, 1083, 236743, 236771, 236761, 236810, 236764, 623, 236770, 236779, 7991, 1083, 236743, 236771, 236761, 236810, 5237, 623, 2478, 236779, 16518, 1083, 11058, 17390, 236772, 36954, 233099, 827, 623, 5529, 79786, 6927, 2890, 827, 623, 48873, 71552, 236772, 42452, 66771, 827, 623, 19574, 236759, 44805, 71009, 16240, 17393, 14255, 623, 73769, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8283, 573, 506, 5213, 236814, 651, 14968, 23855, 236743, 236812, 236771, 236798, 117410, 66515, 108, 236772, 5213, 11280, 66515, 609, 236812, 236819, 236761, 236819, 236819, 23058, 568, 240732, 8382, 609, 236810, 236771, 15520, 138, 107, 236772, 5213, 17115, 66515, 236743, 236778, 236761, 236810, 16931, 568, 236770, 236761, 236770, 236800, 11944, 236768, 1271, 27472, 573, 496, 236743, 236812, 236771, 236798, 3294, 138, 107, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236825, 236786, 236810, 568, 236770, 236764, 236778, 236828, 236832, 10595, 236768, 138, 107, 138, 236772, 236743, 236832, 236828, 236908, 236743, 236810, 236772, 7991, 236764, 236743, 236770, 236828, 236908, 236743, 236812, 236772, 7991, 138, 107, 236772, 5213, 38682, 2109, 24118, 66515, 138, 107, 138, 236772, 210636, 100068, 532, 20511, 236772, 36954, 9130, 138, 107, 138, 236772, 7768, 236772, 36954, 233099, 532, 142696, 6927, 2890, 138, 107, 138, 236772, 34489, 66771, 573, 13957, 13290, 6310, 138, 108, 54133, 573, 822, 226319, 207827, 4122, 71634, 1271, 625, 236858, 236751, 2351, 7715, 236764, 6112, 25118, 236764, 532, 5284, 573, 52803, 1161, 236888, 236743, 249072, 238178, 138, 107, 236840, 2039, 580, 9593, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 236768, 106, 107, 105, 2364, 107, 54133, 236888, 4224, 564, 1202, 496, 24282, 2066, 4856, 573, 1041, 71634, 1271, 236743, 236778, 236771, 236764, 236771, 236771, 236771, 117203, 36149, 1208, 609, 236810, 236771, 236764, 236743, 236812, 236862, 8197, 236761, 7179, 506, 2141, 2267, 5806, 7338, 11834, 236743, 236778, 236771, 236771, 236771, 236771, 236858, 580, 9593, 236761, 19704, 3825, 55455, 2311, 1271, 740, 236858, 236745, 6081, 47290, 872, 13254, 236888, 22282, 77372, 768, 625, 236858, 236751, 2351, 7715, 532, 815, 39601, 10595, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 1201, 1083, 623, 2267, 5806, 7338, 11834, 236743, 236778, 236771, 236771, 236771, 236771, 827, 623, 9707, 1083, 6610, 236800, 236819, 236761, 236819, 236819, 827, 623, 7777, 1083, 623, 236778, 236771, 236771, 236771, 236771, 82854, 24282, 43776, 607, 14413, 15425, 23961, 236764, 22346, 236772, 41818, 1702, 236764, 532, 7338, 79463, 4181, 573, 4592, 19416, 529, 40107, 236764, 31351, 236764, 532, 1032, 7359, 10498, 623, 13126, 1083, 3714, 28128, 1083, 236743, 236812, 236761, 236825, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236810, 236778, 236800, 236812, 1263, 623, 56905, 1083, 623, 902, 2862, 568, 18101, 699, 9593, 22730, 623, 5690, 8112, 1083, 3714, 6078, 236779, 39515, 1083, 236743, 236770, 236770, 236761, 236778, 236764, 623, 63265, 236779, 40254, 1083, 623, 236825, 236761, 236770, 1123, 236743, 236778, 236761, 236832, 1123, 236743, 236771, 236761, 236819, 827, 623, 95620, 236779, 48578, 236779, 82854, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 1263, 623, 2478, 236779, 16518, 1083, 11058, 236812, 236761, 236825, 236772, 7991, 39601, 14470, 699, 11690, 48030, 827, 623, 12098, 6078, 20743, 66557, 568, 236770, 236770, 236761, 236778, 16109, 578, 2578, 236800, 236770, 236832, 236759, 22730, 623, 108237, 236743, 236770, 236771, 236764, 236771, 236771, 236771, 236862, 52803, 1161, 22044, 528, 4796, 7257, 827, 623, 94992, 4022, 2644, 236787, 753, 236770, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 531, 236743, 236812, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 14255, 623, 86211, 236779, 6011, 1083, 3714, 49426, 236779, 51128, 1083, 1847, 236764, 623, 9707, 236779, 18308, 1083, 3714, 117835, 236779, 236819, 236771, 236779, 14356, 1083, 6610, 236800, 236812, 236761, 236819, 236819, 827, 623, 4002, 236779, 70343, 1083, 623, 236770, 236810, 236908, 1135, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 25890, 573, 506, 5213, 2267, 5806, 7338, 11834, 236743, 236778, 236771, 236771, 236771, 236771, 66515, 108, 236772, 5213, 11280, 66515, 609, 236800, 236819, 236761, 236819, 236819, 23058, 568, 240732, 8382, 609, 236810, 236771, 15520, 138, 107, 236772, 5213, 94824, 61242, 66515, 236743, 236778, 236771, 236764, 236771, 236771, 236771, 117203, 568, 119899, 573, 236743, 236810, 236862, 5154, 10814, 236768, 138, 107, 236772, 5213, 17115, 66515, 236743, 236770, 236770, 236761, 236778, 16109, 568, 236800, 236770, 236832, 236759, 236768, 1271, 11236, 573, 1061, 6541, 138, 107, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236825, 236786, 236810, 568, 236770, 236810, 236764, 236778, 236800, 236812, 10595, 236768, 138, 107, 236772, 5213, 38682, 2109, 70731, 66515, 138, 107, 138, 236772, 81524, 66557, 10418, 573, 236743, 236770, 236771, 236764, 236771, 236771, 236771, 236862, 52803, 1161, 22044, 138, 107, 138, 236772, 109559, 2031, 13610, 14567, 15554, 236770, 236771, 237366, 236780, 531, 236743, 236812, 236810, 237366, 236780, 236768, 138, 107, 138, 236772, 236743, 236812, 236761, 236825, 236772, 7991, 39601, 14470, 699, 11690, 5089, 138, 108, 54133, 27893, 29444, 1271, 27472, 236764, 22937, 236764, 532, 609, 236770, 236771, 1208, 822, 7715, 236888, 236743, 252854, 138, 107, 236840, 2039, 580, 9593, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 236768, 138, 108, 236791, 236761, 236773, 236761, 1030, 236858, 236751, 5633, 580, 6235, 568, 236770, 236810, 236908, 1135, 236768, 607, 496, 14723, 3385, 529, 609, 236800, 236812, 236761, 236819, 236819, 528, 4803, 4083, 1271, 1822, 21238, 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, 52935, 236761, 564, 236789, 236757, 17373, 573, 1041, 13822, 1610, 30256, 28448, 135312, 532, 506, 118340, 1954, 236764, 532, 564, 1202, 531, 9584, 506, 15519, 84868, 34641, 8817, 236789, 236751, 2460, 2557, 573, 506, 1171, 8224, 528, 6198, 236761, 564, 735, 506, 1123, 547, 573, 910, 19573, 236787, 623, 37276, 236779, 236748, 5896, 236779, 17637, 236779, 150062, 236779, 236770, 236778, 236800, 3056, 5315, 236764, 5091, 1161, 506, 2165, 2811, 236779, 15921, 236929, 5904, 531, 16807, 506, 4563, 4889, 532, 6541, 236761, 9920, 10778, 236764, 564, 236789, 859, 1202, 531, 2619, 506, 14626, 2460, 573, 6198, 236743, 236832, 594, 657, 236743, 236778, 8711, 607, 506, 3822, 623, 10505, 536, 833, 3060, 1934, 236787, 118340, 617, 70865, 236775, 532, 3204, 496, 5433, 1003, 12284, 16470, 10135, 532, 786, 1934, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236781, 547, 1083, 623, 37276, 236779, 236748, 5896, 236779, 17637, 236779, 150062, 236779, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 62622, 84868, 34641, 8817, 11109, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 20690, 6718, 236764, 15519, 84868, 236764, 8253, 236743, 236819, 236810, 236825, 236778, 236828, 827, 623, 48578, 1083, 236743, 236770, 236810, 236771, 236764, 623, 22860, 1236, 1083, 11058, 39905, 15408, 827, 623, 57782, 19520, 2557, 827, 623, 100399, 2802, 827, 623, 63451, 24438, 15283, 14255, 623, 7777, 1083, 623, 131318, 236743, 236770, 236819, 236778, 236771, 236751, 3788, 607, 3303, 150770, 236764, 7436, 573, 1610, 52923, 532, 9226, 4749, 10498, 623, 11607, 1083, 623, 18582, 236940, 236760, 30017, 628, 1179, 6068, 236761, 2187, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5106, 236779, 547, 1083, 623, 22486, 236778, 236771, 236778, 236800, 236770, 236771, 236771, 236832, 236770, 236812, 236771, 236771, 827, 623, 4818, 1083, 623, 87877, 827, 623, 5106, 236779, 1201, 1083, 623, 10505, 536, 833, 3060, 1934, 236787, 118340, 617, 70865, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236812, 236787, 236771, 236771, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236828, 236787, 236771, 236771, 827, 623, 7125, 1083, 623, 236770, 236778, 236800, 20690, 6718, 236764, 15519, 84868, 236764, 8253, 236743, 236819, 236810, 236825, 236778, 236828, 827, 623, 23184, 1083, 623, 150143, 16470, 10135, 532, 786, 1934, 1913, 506, 2460, 25938, 106, 107, 105, 4368, 107, 11069, 2460, 623, 10505, 536, 833, 3060, 1934, 236787, 118340, 617, 70865, 236775, 815, 1010, 10428, 14812, 573, 5213, 36817, 236743, 236832, 594, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 699, 236743, 236778, 236787, 236771, 236771, 8711, 531, 236743, 236825, 236787, 236771, 236771, 8711, 1018, 657, 5213, 236770, 236778, 236800, 20690, 6718, 236764, 15519, 84868, 236764, 8253, 236743, 236819, 236810, 236825, 236778, 236828, 1018, 568, 62622, 84868, 34641, 8817, 11109, 769, 669, 19573, 815, 496, 6541, 529, 236743, 236770, 236810, 236771, 12286, 532, 5132, 31087, 1133, 3756, 15408, 236764, 11285, 19520, 2557, 236764, 532, 8351, 2802, 236761, 236743, 108, 1018, 26253, 3742, 531, 506, 2460, 66515, 138, 107, 236775, 150143, 16470, 10135, 532, 786, 1934, 1913, 506, 2460, 1781, 108, 818, 2460, 5853, 563, 5213, 22486, 236778, 236771, 236778, 236800, 236770, 236771, 236771, 236832, 236770, 236812, 236771, 236771, 84750, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 236743, 245838, 246289, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 52935, 236761, 564, 236789, 236757, 17373, 573, 1041, 13822, 1610, 30256, 28448, 135312, 532, 506, 118340, 1954, 236764, 532, 564, 1202, 531, 9584, 506, 15519, 84868, 34641, 8817, 236789, 236751, 2460, 2557, 573, 506, 1171, 8224, 528, 6198, 236761, 564, 735, 506, 1123, 547, 573, 910, 19573, 236787, 623, 37276, 236779, 236748, 5896, 236779, 17637, 236779, 150062, 236779, 236770, 236778, 236800, 3056, 5315, 236764, 5091, 1161, 506, 2165, 2811, 236779, 15921, 236929, 5904, 531, 16807, 506, 4563, 4889, 532, 6541, 236761, 9920, 10778, 236764, 564, 236789, 859, 1202, 531, 2619, 506, 14626, 2460, 573, 6198, 236743, 236832, 594, 657, 236743, 236778, 8711, 607, 506, 3822, 623, 10505, 536, 833, 3060, 1934, 236787, 118340, 617, 70865, 236775, 532, 3204, 496, 5433, 1003, 12284, 16470, 10135, 532, 786, 1934, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236781, 547, 1083, 623, 37276, 236779, 236748, 5896, 236779, 17637, 236779, 150062, 236779, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 62622, 84868, 34641, 8817, 11109, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 20690, 6718, 236764, 15519, 84868, 236764, 8253, 236743, 236819, 236810, 236825, 236778, 236828, 827, 623, 48578, 1083, 236743, 236770, 236810, 236771, 236764, 623, 22860, 1236, 1083, 11058, 39905, 15408, 827, 623, 57782, 19520, 2557, 827, 623, 100399, 2802, 827, 623, 63451, 24438, 15283, 14255, 623, 7777, 1083, 623, 131318, 236743, 236770, 236819, 236778, 236771, 236751, 3788, 607, 3303, 150770, 236764, 7436, 573, 1610, 52923, 532, 9226, 4749, 10498, 623, 11607, 1083, 623, 18582, 236940, 236760, 30017, 628, 1179, 6068, 236761, 2187, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5106, 236779, 547, 1083, 623, 22486, 236778, 236771, 236778, 236800, 236770, 236771, 236771, 236832, 236770, 236812, 236771, 236771, 827, 623, 4818, 1083, 623, 87877, 827, 623, 5106, 236779, 1201, 1083, 623, 10505, 536, 833, 3060, 1934, 236787, 118340, 617, 70865, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236812, 236787, 236771, 236771, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236828, 236787, 236771, 236771, 827, 623, 7125, 1083, 623, 236770, 236778, 236800, 20690, 6718, 236764, 15519, 84868, 236764, 8253, 236743, 236819, 236810, 236825, 236778, 236828, 827, 623, 23184, 1083, 623, 150143, 16470, 10135, 532, 786, 1934, 1913, 506, 2460, 25938, 106, 107, 105, 4368, 107, 11069, 2460, 623, 10505, 536, 833, 3060, 1934, 236787, 118340, 617, 70865, 236775, 815, 1010, 10428, 14812, 573, 5213, 36817, 236743, 236832, 594, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 699, 236743, 236778, 236787, 236771, 236771, 8711, 531, 236743, 236825, 236787, 236771, 236771, 8711, 1018, 657, 5213, 236770, 236778, 236800, 20690, 6718, 236764, 15519, 84868, 236764, 8253, 236743, 236819, 236810, 236825, 236778, 236828, 1018, 568, 62622, 84868, 34641, 8817, 11109, 769, 669, 19573, 815, 496, 6541, 529, 236743, 236770, 236810, 236771, 12286, 532, 5132, 31087, 1133, 3756, 15408, 236764, 11285, 19520, 2557, 236764, 532, 8351, 2802, 236761, 236743, 108, 1018, 26253, 3742, 531, 506, 2460, 66515, 138, 107, 236775, 150143, 16470, 10135, 532, 786, 1934, 1913, 506, 2460, 1781, 108, 818, 2460, 5853, 563, 5213, 22486, 236778, 236771, 236778, 236800, 236770, 236771, 236771, 236832, 236770, 236812, 236771, 236771, 84750, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 236743, 245838, 246289, 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, 152102, 2373, 236764, 822, 9171, 699, 217364, 236761, 564, 236789, 236757, 10848, 3075, 672, 2563, 32462, 120941, 532, 4585, 129274, 657, 506, 3399, 3988, 2148, 2297, 237028, 80353, 2780, 236764, 77728, 4000, 92815, 236764, 611, 1281, 1217, 564, 2765, 531, 3437, 18361, 3075, 236888, 5315, 236764, 1451, 611, 26367, 1679, 496, 14993, 684, 93731, 569, 45067, 22994, 573, 506, 61381, 236881, 4298, 236764, 564, 236789, 859, 72146, 600, 14993, 1131, 1041, 2460, 6492, 532, 1202, 611, 531, 3972, 236772, 4256, 506, 49248, 236761, 3551, 6492, 563, 236787, 623, 22163, 775, 573, 496, 3446, 529, 6672, 14361, 2780, 236764, 3892, 4252, 236764, 532, 1610, 54233, 236888, 2343, 659, 8349, 531, 4059, 3306, 3192, 236764, 677, 2538, 135556, 24988, 236764, 532, 3449, 1003, 77728, 4000, 699, 1023, 2263, 11421, 236761, 20639, 4024, 822, 8511, 532, 24597, 607, 775, 1781, 9920, 611, 974, 506, 14993, 236764, 564, 236789, 859, 1386, 625, 236787, 623, 22163, 775, 1390, 870, 7777, 236842, 56892, 236787, 870, 20263, 699, 93731, 152549, 4298, 2426, 506, 49248, 529, 506, 3697, 3210, 236761, 13472, 236764, 5383, 506, 3399, 3988, 3662, 573, 786, 236787, 217364, 11493, 6022, 236764, 236743, 236770, 236778, 236800, 6400, 842, 236764, 217364, 236764, 8253, 236743, 236819, 236771, 236825, 236771, 236770, 236764, 568, 236810, 236825, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 236761, 1599, 236789, 500, 496, 9052, 19356, 595, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 4906, 563, 711, 8132, 236764, 840, 4319, 6775, 236764, 496, 3875, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 21850, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11607, 236779, 547, 1083, 623, 11607, 236779, 236812, 236810, 236825, 236832, 236828, 827, 623, 4818, 1083, 623, 21452, 827, 623, 1201, 1083, 623, 2825, 1087, 1099, 11493, 6022, 827, 623, 5275, 1083, 33865, 236810, 236825, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 25938, 106, 107, 105, 4368, 107, 11069, 32462, 120941, 532, 4585, 129274, 563, 784, 1076, 236888, 5715, 236789, 236751, 506, 26093, 236787, 108, 236770, 236761, 5213, 218671, 569, 45067, 22994, 56892, 66515, 138, 107, 139, 71510, 4906, 563, 711, 8132, 236764, 840, 4319, 6775, 236764, 496, 3875, 1781, 236829, 138, 107, 139, 236769, 54133, 586, 56466, 532, 5508, 573, 822, 61381, 15520, 108, 236778, 236761, 5213, 4225, 4079, 7179, 66515, 138, 107, 139, 11069, 2460, 6492, 563, 5213, 1020, 4079, 236772, 19448, 1018, 568, 1904, 9825, 1765, 769, 138, 107, 139, 236829, 12703, 529, 506, 90152, 61381, 1816, 149681, 138, 107, 139, 71510, 22163, 775, 573, 496, 3446, 529, 6672, 14361, 2780, 236764, 3892, 4252, 236764, 532, 1610, 54233, 236888, 2343, 659, 8349, 531, 4059, 3306, 3192, 236764, 677, 2538, 135556, 24988, 236764, 532, 3449, 1003, 77728, 4000, 699, 1023, 2263, 11421, 236761, 20639, 4024, 822, 8511, 532, 24597, 607, 775, 236761, 56892, 236787, 756, 4906, 563, 711, 8132, 236764, 840, 4319, 6775, 236764, 496, 3875, 72870, 236829, 108, 236800, 236761, 5213, 11431, 111408, 66515, 138, 107, 139, 2825, 1087, 1099, 11493, 6022, 568, 236770, 236778, 236800, 6400, 842, 236764, 217364, 236764, 8253, 236743, 236819, 236771, 236825, 236771, 236770, 236768, 563, 1492, 528, 822, 3421, 2260, 607, 5154, 236787, 568, 236810, 236825, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 236761, 138, 107, 139, 240732, 5213, 6717, 66515, 111408, 618, 2165, 11607, 236779, 236812, 236810, 236825, 236832, 236828, 21233, 108, 3048, 236858, 500, 808, 814, 236829, 8349, 236764, 152102, 2373, 236888, 3792, 786, 1281, 768, 611, 1202, 4658, 1663, 573, 506, 2460, 236761, 236743, 242507, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 152102, 2373, 236764, 822, 9171, 699, 217364, 236761, 564, 236789, 236757, 10848, 3075, 672, 2563, 32462, 120941, 532, 4585, 129274, 657, 506, 3399, 3988, 2148, 2297, 237028, 80353, 2780, 236764, 77728, 4000, 92815, 236764, 611, 1281, 1217, 564, 2765, 531, 3437, 18361, 3075, 236888, 5315, 236764, 1451, 611, 26367, 1679, 496, 14993, 684, 93731, 569, 45067, 22994, 573, 506, 61381, 236881, 4298, 236764, 564, 236789, 859, 72146, 600, 14993, 1131, 1041, 2460, 6492, 532, 1202, 611, 531, 3972, 236772, 4256, 506, 49248, 236761, 3551, 6492, 563, 236787, 623, 22163, 775, 573, 496, 3446, 529, 6672, 14361, 2780, 236764, 3892, 4252, 236764, 532, 1610, 54233, 236888, 2343, 659, 8349, 531, 4059, 3306, 3192, 236764, 677, 2538, 135556, 24988, 236764, 532, 3449, 1003, 77728, 4000, 699, 1023, 2263, 11421, 236761, 20639, 4024, 822, 8511, 532, 24597, 607, 775, 1781, 9920, 611, 974, 506, 14993, 236764, 564, 236789, 859, 1386, 625, 236787, 623, 22163, 775, 1390, 870, 7777, 236842, 56892, 236787, 870, 20263, 699, 93731, 152549, 4298, 2426, 506, 49248, 529, 506, 3697, 3210, 236761, 13472, 236764, 5383, 506, 3399, 3988, 3662, 573, 786, 236787, 217364, 11493, 6022, 236764, 236743, 236770, 236778, 236800, 6400, 842, 236764, 217364, 236764, 8253, 236743, 236819, 236771, 236825, 236771, 236770, 236764, 568, 236810, 236825, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 236761, 1599, 236789, 500, 496, 9052, 19356, 595, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 4906, 563, 711, 8132, 236764, 840, 4319, 6775, 236764, 496, 3875, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 21850, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11607, 236779, 547, 1083, 623, 11607, 236779, 236812, 236810, 236825, 236832, 236828, 827, 623, 4818, 1083, 623, 21452, 827, 623, 1201, 1083, 623, 2825, 1087, 1099, 11493, 6022, 827, 623, 5275, 1083, 33865, 236810, 236825, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 25938, 106, 107, 105, 4368, 107, 11069, 32462, 120941, 532, 4585, 129274, 563, 784, 1076, 236888, 5715, 236789, 236751, 506, 26093, 236787, 108, 236770, 236761, 5213, 218671, 569, 45067, 22994, 56892, 66515, 138, 107, 139, 71510, 4906, 563, 711, 8132, 236764, 840, 4319, 6775, 236764, 496, 3875, 1781, 236829, 138, 107, 139, 236769, 54133, 586, 56466, 532, 5508, 573, 822, 61381, 15520, 108, 236778, 236761, 5213, 4225, 4079, 7179, 66515, 138, 107, 139, 11069, 2460, 6492, 563, 5213, 1020, 4079, 236772, 19448, 1018, 568, 1904, 9825, 1765, 769, 138, 107, 139, 236829, 12703, 529, 506, 90152, 61381, 1816, 149681, 138, 107, 139, 71510, 22163, 775, 573, 496, 3446, 529, 6672, 14361, 2780, 236764, 3892, 4252, 236764, 532, 1610, 54233, 236888, 2343, 659, 8349, 531, 4059, 3306, 3192, 236764, 677, 2538, 135556, 24988, 236764, 532, 3449, 1003, 77728, 4000, 699, 1023, 2263, 11421, 236761, 20639, 4024, 822, 8511, 532, 24597, 607, 775, 236761, 56892, 236787, 756, 4906, 563, 711, 8132, 236764, 840, 4319, 6775, 236764, 496, 3875, 72870, 236829, 108, 236800, 236761, 5213, 11431, 111408, 66515, 138, 107, 139, 2825, 1087, 1099, 11493, 6022, 568, 236770, 236778, 236800, 6400, 842, 236764, 217364, 236764, 8253, 236743, 236819, 236771, 236825, 236771, 236770, 236768, 563, 1492, 528, 822, 3421, 2260, 607, 5154, 236787, 568, 236810, 236825, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 236761, 138, 107, 139, 240732, 5213, 6717, 66515, 111408, 618, 2165, 11607, 236779, 236812, 236810, 236825, 236832, 236828, 21233, 108, 3048, 236858, 500, 808, 814, 236829, 8349, 236764, 152102, 2373, 236888, 3792, 786, 1281, 768, 611, 1202, 4658, 1663, 573, 506, 2460, 236761, 236743, 242507, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 18544, 563, 5809, 531, 31236, 10670, 13192, 1699, 506, 2165, 30718, 236779, 62327, 236779, 24471, 236929, 5904, 236761, 21284, 611, 1133, 786, 531, 1601, 611, 607, 496, 10670, 14988, 5205, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 18544, 563, 5809, 531, 31236, 10670, 13192, 1699, 506, 2165, 30718, 236779, 62327, 236779, 24471, 236929, 5904, 236761, 21284, 611, 1133, 786, 531, 1601, 611, 607, 496, 10670, 14988, 5205, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236761, 564, 236789, 236757, 3182, 573, 1070, 1535, 27893, 22249, 3541, 62252, 236764, 9539, 236761, 28344, 611, 1601, 786, 1586, 1070, 3835, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 229601, 1083, 78493, 1201, 1083, 623, 150854, 7940, 200539, 6022, 42055, 827, 623, 17178, 1083, 623, 236778, 236761, 236810, 7635, 827, 623, 69518, 1083, 623, 42960, 827, 623, 7777, 1083, 623, 154102, 22249, 3008, 506, 45441, 7940, 607, 8001, 103994, 7760, 532, 12801, 23092, 221476, 3714, 1201, 1083, 623, 198925, 10892, 3245, 4556, 42055, 827, 623, 17178, 1083, 623, 236810, 7635, 827, 623, 69518, 1083, 623, 166920, 827, 623, 7777, 1083, 623, 236814, 14398, 24974, 607, 53001, 8208, 529, 14710, 34401, 9630, 532, 11363, 9539, 51699, 221476, 3714, 1201, 1083, 623, 7131, 10373, 9630, 32973, 827, 623, 17178, 1083, 623, 236800, 7635, 827, 623, 69518, 1083, 623, 42960, 827, 623, 7777, 1083, 623, 236791, 10758, 236764, 6648, 13234, 2101, 506, 13288, 236764, 7436, 573, 7965, 532, 15189, 124996, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 1822, 27893, 13234, 3835, 3541, 62252, 236764, 9539, 236787, 108, 236770, 236761, 5213, 150854, 7940, 200539, 6022, 42055, 1018, 138, 107, 139, 236772, 46783, 236787, 236743, 236778, 236761, 236810, 7635, 138, 107, 139, 236772, 118176, 236787, 21437, 138, 107, 139, 236772, 17243, 236787, 116292, 22249, 3008, 506, 45441, 7940, 607, 8001, 103994, 7760, 532, 12801, 23092, 236761, 108, 236778, 236761, 5213, 198925, 10892, 3245, 4556, 42055, 1018, 138, 107, 139, 236772, 46783, 236787, 236743, 236810, 7635, 138, 107, 139, 236772, 118176, 236787, 90434, 138, 107, 139, 236772, 17243, 236787, 640, 14398, 24974, 607, 53001, 8208, 529, 14710, 34401, 9630, 532, 11363, 9539, 51699, 236761, 108, 236800, 236761, 5213, 7131, 10373, 9630, 32973, 1018, 138, 107, 139, 236772, 46783, 236787, 236743, 236800, 7635, 138, 107, 139, 236772, 118176, 236787, 21437, 138, 107, 139, 236772, 17243, 236787, 593, 10758, 236764, 6648, 13234, 2101, 506, 13288, 236764, 7436, 573, 7965, 532, 15189, 124996, 236761, 108, 38786, 611, 1133, 531, 59638, 506, 3927, 684, 14644, 1984, 236764, 5149, 236764, 653, 1032, 22195, 236881, 103453, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1586, 3735, 27893, 22249, 1208, 236743, 236778, 7635, 3541, 62252, 236761, 28344, 611, 2426, 1570, 607, 1724, 23003, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 229601, 1083, 78493, 1201, 1083, 623, 29096, 1965, 15007, 23855, 827, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236828, 236764, 623, 69518, 1083, 623, 42960, 827, 623, 7777, 1083, 623, 236776, 6648, 236764, 41997, 13234, 3008, 506, 8858, 607, 11766, 529, 23092, 221476, 3714, 1201, 1083, 623, 236791, 133612, 41196, 13739, 827, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236810, 236764, 623, 69518, 1083, 623, 42960, 827, 623, 7777, 1083, 623, 23395, 7350, 1343, 496, 97527, 2433, 236764, 1822, 573, 50415, 221476, 3714, 1201, 1083, 623, 64947, 1543, 32973, 827, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236778, 236764, 623, 69518, 1083, 623, 42960, 827, 623, 7777, 1083, 623, 27426, 1250, 236772, 18865, 13234, 2101, 496, 1944, 13288, 607, 8001, 103994, 7760, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 3735, 27893, 22249, 1208, 236743, 236778, 7635, 3541, 62252, 236764, 9539, 236787, 108, 236770, 236761, 5213, 29096, 1965, 15007, 23855, 1018, 138, 107, 139, 236772, 46783, 236787, 236743, 236770, 236761, 236828, 7635, 138, 107, 139, 236772, 118176, 236787, 21437, 138, 107, 139, 236772, 17243, 236787, 562, 6648, 236764, 41997, 13234, 3008, 506, 8858, 607, 11766, 529, 23092, 236761, 108, 236778, 236761, 5213, 236791, 133612, 41196, 13739, 1018, 138, 107, 139, 236772, 46783, 236787, 236743, 236770, 236761, 236810, 7635, 138, 107, 139, 236772, 118176, 236787, 21437, 138, 107, 139, 236772, 17243, 236787, 14063, 7350, 1343, 496, 97527, 2433, 236764, 1822, 573, 50415, 236761, 108, 236800, 236761, 5213, 64947, 1543, 32973, 1018, 138, 107, 139, 236772, 46783, 236787, 236743, 236770, 236761, 236778, 7635, 138, 107, 139, 236772, 118176, 236787, 21437, 138, 107, 139, 236772, 17243, 236787, 160433, 236772, 18865, 13234, 2101, 496, 1944, 13288, 607, 8001, 103994, 7760, 236761, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 2426, 1027, 3530, 4889, 1003, 1239, 22249, 236881, 103453, 106, 107, 105, 2364, 107, 6294, 611, 1281, 768, 506, 62252, 15007, 23855, 5862, 12414, 236881, 564, 735, 496, 4493, 532, 1093, 1133, 531, 3437, 1091, 3008, 580, 506, 3727, 236761, 106, 107, 105, 4368, 107, 818, 1873, 1262, 699, 506, 27893, 13234, 3927, 1677, 711, 3204, 3530, 1938, 1003, 4799, 10034, 573, 506, 62252, 15007, 23855, 236761, 1701, 506, 1346, 11459, 532, 872, 236772, 1071, 236772, 1896, 4889, 8859, 4493, 10034, 236764, 564, 5840, 16329, 506, 5125, 62252, 36962, 532, 51307, 4456, 653, 57416, 910, 4408, 5467, 236761, 8732, 22249, 528, 62252, 776, 2174, 12414, 580, 674, 20562, 236764, 840, 6366, 740, 9729, 684, 4563, 236764, 834, 92578, 607, 2263, 11787, 563, 506, 1791, 4313, 236761, 21284, 611, 1133, 1601, 8159, 910, 3662, 1938, 653, 4456, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236761, 564, 236789, 236757, 3182, 573, 1070, 1535, 27893, 22249, 3541, 62252, 236764, 9539, 236761, 28344, 611, 1601, 786, 1586, 1070, 3835, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 229601, 1083, 78493, 1201, 1083, 623, 150854, 7940, 200539, 6022, 42055, 827, 623, 17178, 1083, 623, 236778, 236761, 236810, 7635, 827, 623, 69518, 1083, 623, 42960, 827, 623, 7777, 1083, 623, 154102, 22249, 3008, 506, 45441, 7940, 607, 8001, 103994, 7760, 532, 12801, 23092, 221476, 3714, 1201, 1083, 623, 198925, 10892, 3245, 4556, 42055, 827, 623, 17178, 1083, 623, 236810, 7635, 827, 623, 69518, 1083, 623, 166920, 827, 623, 7777, 1083, 623, 236814, 14398, 24974, 607, 53001, 8208, 529, 14710, 34401, 9630, 532, 11363, 9539, 51699, 221476, 3714, 1201, 1083, 623, 7131, 10373, 9630, 32973, 827, 623, 17178, 1083, 623, 236800, 7635, 827, 623, 69518, 1083, 623, 42960, 827, 623, 7777, 1083, 623, 236791, 10758, 236764, 6648, 13234, 2101, 506, 13288, 236764, 7436, 573, 7965, 532, 15189, 124996, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 1822, 27893, 13234, 3835, 3541, 62252, 236764, 9539, 236787, 108, 236770, 236761, 5213, 150854, 7940, 200539, 6022, 42055, 1018, 138, 107, 139, 236772, 46783, 236787, 236743, 236778, 236761, 236810, 7635, 138, 107, 139, 236772, 118176, 236787, 21437, 138, 107, 139, 236772, 17243, 236787, 116292, 22249, 3008, 506, 45441, 7940, 607, 8001, 103994, 7760, 532, 12801, 23092, 236761, 108, 236778, 236761, 5213, 198925, 10892, 3245, 4556, 42055, 1018, 138, 107, 139, 236772, 46783, 236787, 236743, 236810, 7635, 138, 107, 139, 236772, 118176, 236787, 90434, 138, 107, 139, 236772, 17243, 236787, 640, 14398, 24974, 607, 53001, 8208, 529, 14710, 34401, 9630, 532, 11363, 9539, 51699, 236761, 108, 236800, 236761, 5213, 7131, 10373, 9630, 32973, 1018, 138, 107, 139, 236772, 46783, 236787, 236743, 236800, 7635, 138, 107, 139, 236772, 118176, 236787, 21437, 138, 107, 139, 236772, 17243, 236787, 593, 10758, 236764, 6648, 13234, 2101, 506, 13288, 236764, 7436, 573, 7965, 532, 15189, 124996, 236761, 108, 38786, 611, 1133, 531, 59638, 506, 3927, 684, 14644, 1984, 236764, 5149, 236764, 653, 1032, 22195, 236881, 103453, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1586, 3735, 27893, 22249, 1208, 236743, 236778, 7635, 3541, 62252, 236761, 28344, 611, 2426, 1570, 607, 1724, 23003, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 229601, 1083, 78493, 1201, 1083, 623, 29096, 1965, 15007, 23855, 827, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236828, 236764, 623, 69518, 1083, 623, 42960, 827, 623, 7777, 1083, 623, 236776, 6648, 236764, 41997, 13234, 3008, 506, 8858, 607, 11766, 529, 23092, 221476, 3714, 1201, 1083, 623, 236791, 133612, 41196, 13739, 827, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236810, 236764, 623, 69518, 1083, 623, 42960, 827, 623, 7777, 1083, 623, 23395, 7350, 1343, 496, 97527, 2433, 236764, 1822, 573, 50415, 221476, 3714, 1201, 1083, 623, 64947, 1543, 32973, 827, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236778, 236764, 623, 69518, 1083, 623, 42960, 827, 623, 7777, 1083, 623, 27426, 1250, 236772, 18865, 13234, 2101, 496, 1944, 13288, 607, 8001, 103994, 7760, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 3735, 27893, 22249, 1208, 236743, 236778, 7635, 3541, 62252, 236764, 9539, 236787, 108, 236770, 236761, 5213, 29096, 1965, 15007, 23855, 1018, 138, 107, 139, 236772, 46783, 236787, 236743, 236770, 236761, 236828, 7635, 138, 107, 139, 236772, 118176, 236787, 21437, 138, 107, 139, 236772, 17243, 236787, 562, 6648, 236764, 41997, 13234, 3008, 506, 8858, 607, 11766, 529, 23092, 236761, 108, 236778, 236761, 5213, 236791, 133612, 41196, 13739, 1018, 138, 107, 139, 236772, 46783, 236787, 236743, 236770, 236761, 236810, 7635, 138, 107, 139, 236772, 118176, 236787, 21437, 138, 107, 139, 236772, 17243, 236787, 14063, 7350, 1343, 496, 97527, 2433, 236764, 1822, 573, 50415, 236761, 108, 236800, 236761, 5213, 64947, 1543, 32973, 1018, 138, 107, 139, 236772, 46783, 236787, 236743, 236770, 236761, 236778, 7635, 138, 107, 139, 236772, 118176, 236787, 21437, 138, 107, 139, 236772, 17243, 236787, 160433, 236772, 18865, 13234, 2101, 496, 1944, 13288, 607, 8001, 103994, 7760, 236761, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 2426, 1027, 3530, 4889, 1003, 1239, 22249, 236881, 103453, 106, 107, 105, 2364, 107, 6294, 611, 1281, 768, 506, 62252, 15007, 23855, 5862, 12414, 236881, 564, 735, 496, 4493, 532, 1093, 1133, 531, 3437, 1091, 3008, 580, 506, 3727, 236761, 106, 107, 105, 4368, 107, 818, 1873, 1262, 699, 506, 27893, 13234, 3927, 1677, 711, 3204, 3530, 1938, 1003, 4799, 10034, 573, 506, 62252, 15007, 23855, 236761, 1701, 506, 1346, 11459, 532, 872, 236772, 1071, 236772, 1896, 4889, 8859, 4493, 10034, 236764, 564, 5840, 16329, 506, 5125, 62252, 36962, 532, 51307, 4456, 653, 57416, 910, 4408, 5467, 236761, 8732, 22249, 528, 62252, 776, 2174, 12414, 580, 674, 20562, 236764, 840, 6366, 740, 9729, 684, 4563, 236764, 834, 92578, 607, 2263, 11787, 563, 506, 1791, 4313, 236761, 21284, 611, 1133, 1601, 8159, 910, 3662, 1938, 653, 4456, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 6972, 1003, 23324, 528, 5884, 32754, 2338, 901, 236789, 500, 3978, 1131, 5898, 11182, 236761, 3199, 611, 2426, 506, 12376, 5542, 573, 27506, 2862, 1024, 506, 1774, 2297, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 24464, 827, 623, 38294, 236779, 2084, 1083, 623, 20845, 827, 623, 23735, 1083, 623, 236770, 236792, 827, 623, 1516, 1083, 3714, 28128, 236779, 32320, 236779, 20845, 1083, 236743, 236812, 236810, 236761, 236778, 236764, 623, 20845, 236779, 58043, 1083, 870, 236812, 236778, 236761, 236770, 236764, 236743, 236812, 236800, 236761, 236828, 236764, 236743, 236812, 236812, 236761, 236810, 236764, 236743, 236812, 236825, 236761, 236800, 236764, 236743, 236812, 236832, 236761, 236771, 236764, 236743, 236812, 236810, 236761, 236819, 236764, 236743, 236812, 236812, 236761, 236832, 236764, 236743, 236812, 236800, 236761, 236778, 236764, 236743, 236812, 236778, 236761, 236810, 236764, 236743, 236812, 236770, 236761, 236828, 236764, 236743, 236812, 236800, 236761, 236771, 236764, 236743, 236812, 236812, 236761, 236778, 236764, 236743, 236812, 236810, 236761, 236770, 236764, 236743, 236812, 236825, 236761, 236771, 236764, 236743, 236812, 236832, 236761, 236778, 236764, 236743, 236812, 236825, 236761, 236810, 236764, 236743, 236812, 236810, 236761, 236828, 236764, 236743, 236812, 236812, 236761, 236819, 236764, 236743, 236812, 236800, 236761, 236832, 236764, 236743, 236812, 236778, 236761, 236825, 236764, 236743, 236812, 236770, 236761, 236819, 236764, 236743, 236812, 236800, 236761, 236770, 236764, 236743, 236812, 236812, 236761, 236800, 236764, 236743, 236812, 236810, 236761, 236810, 236764, 236743, 236812, 236825, 236761, 236828, 236764, 236743, 236812, 236832, 236761, 236770, 236764, 236743, 236812, 236825, 236761, 236812, 236764, 236743, 236812, 236810, 236761, 236825, 236764, 236743, 236812, 236812, 236761, 236828, 236764, 236743, 236812, 236800, 236761, 236810, 1604, 623, 27617, 1083, 623, 38556, 827, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 818, 12376, 5542, 573, 5884, 32754, 568, 24464, 236768, 2862, 1024, 506, 1774, 2297, 3831, 614, 4398, 6376, 5542, 529, 5213, 236812, 236810, 236761, 236778, 3625, 12085, 84750, 669, 5542, 7003, 24312, 774, 1913, 506, 2846, 236764, 6250, 2101, 236743, 236812, 236778, 236761, 236770, 3625, 532, 145739, 657, 236743, 236812, 236832, 236761, 236778, 3625, 236764, 607, 496, 6495, 16670, 8797, 506, 1345, 529, 506, 2297, 236761, 236743, 108, 2094, 1262, 2473, 10128, 29311, 2142, 19240, 531, 27506, 236789, 236751, 5898, 7500, 19898, 236764, 840, 5542, 7057, 4038, 236789, 236745, 9128, 6828, 3435, 236761, 14066, 39364, 672, 607, 1032, 19455, 1133, 3385, 15067, 236764, 4867, 2404, 236764, 653, 3956, 33772, 573, 496, 20433, 1927, 236761, 669, 1262, 563, 1873, 618, 529, 5213, 30651, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 84750, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 6972, 1003, 23324, 528, 5884, 32754, 2338, 901, 236789, 500, 3978, 1131, 5898, 11182, 236761, 3199, 611, 2426, 506, 12376, 5542, 573, 27506, 2862, 1024, 506, 1774, 2297, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 24464, 827, 623, 38294, 236779, 2084, 1083, 623, 20845, 827, 623, 23735, 1083, 623, 236770, 236792, 827, 623, 1516, 1083, 3714, 28128, 236779, 32320, 236779, 20845, 1083, 236743, 236812, 236810, 236761, 236778, 236764, 623, 20845, 236779, 58043, 1083, 870, 236812, 236778, 236761, 236770, 236764, 236743, 236812, 236800, 236761, 236828, 236764, 236743, 236812, 236812, 236761, 236810, 236764, 236743, 236812, 236825, 236761, 236800, 236764, 236743, 236812, 236832, 236761, 236771, 236764, 236743, 236812, 236810, 236761, 236819, 236764, 236743, 236812, 236812, 236761, 236832, 236764, 236743, 236812, 236800, 236761, 236778, 236764, 236743, 236812, 236778, 236761, 236810, 236764, 236743, 236812, 236770, 236761, 236828, 236764, 236743, 236812, 236800, 236761, 236771, 236764, 236743, 236812, 236812, 236761, 236778, 236764, 236743, 236812, 236810, 236761, 236770, 236764, 236743, 236812, 236825, 236761, 236771, 236764, 236743, 236812, 236832, 236761, 236778, 236764, 236743, 236812, 236825, 236761, 236810, 236764, 236743, 236812, 236810, 236761, 236828, 236764, 236743, 236812, 236812, 236761, 236819, 236764, 236743, 236812, 236800, 236761, 236832, 236764, 236743, 236812, 236778, 236761, 236825, 236764, 236743, 236812, 236770, 236761, 236819, 236764, 236743, 236812, 236800, 236761, 236770, 236764, 236743, 236812, 236812, 236761, 236800, 236764, 236743, 236812, 236810, 236761, 236810, 236764, 236743, 236812, 236825, 236761, 236828, 236764, 236743, 236812, 236832, 236761, 236770, 236764, 236743, 236812, 236825, 236761, 236812, 236764, 236743, 236812, 236810, 236761, 236825, 236764, 236743, 236812, 236812, 236761, 236828, 236764, 236743, 236812, 236800, 236761, 236810, 1604, 623, 27617, 1083, 623, 38556, 827, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 818, 12376, 5542, 573, 5884, 32754, 568, 24464, 236768, 2862, 1024, 506, 1774, 2297, 3831, 614, 4398, 6376, 5542, 529, 5213, 236812, 236810, 236761, 236778, 3625, 12085, 84750, 669, 5542, 7003, 24312, 774, 1913, 506, 2846, 236764, 6250, 2101, 236743, 236812, 236778, 236761, 236770, 3625, 532, 145739, 657, 236743, 236812, 236832, 236761, 236778, 3625, 236764, 607, 496, 6495, 16670, 8797, 506, 1345, 529, 506, 2297, 236761, 236743, 108, 2094, 1262, 2473, 10128, 29311, 2142, 19240, 531, 27506, 236789, 236751, 5898, 7500, 19898, 236764, 840, 5542, 7057, 4038, 236789, 236745, 9128, 6828, 3435, 236761, 14066, 39364, 672, 607, 1032, 19455, 1133, 3385, 15067, 236764, 4867, 2404, 236764, 653, 3956, 33772, 573, 496, 20433, 1927, 236761, 669, 1262, 563, 1873, 618, 529, 5213, 30651, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 84750, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 1502, 1041, 1852, 2033, 2065, 3019, 1960, 1590, 528, 9975, 35900, 236761, 564, 1461, 531, 2958, 86101, 14900, 529, 6330, 16106, 4699, 528, 9539, 531, 30998, 1041, 24488, 7675, 236761, 3199, 611, 33205, 86101, 14900, 573, 562, 1992, 511, 986, 568, 2249, 1204, 236787, 2590, 236771, 236778, 236800, 236800, 236828, 236874, 236770, 236771, 236832, 236771, 236768, 532, 19939, 1192, 42622, 568, 2249, 1204, 236787, 2590, 236812, 236819, 236812, 236812, 236810, 236824, 236770, 236771, 236778, 236832, 20625, 6542, 236764, 10769, 910, 3956, 47551, 834, 564, 740, 8701, 4106, 1298, 1041, 861, 1960, 1451, 45426, 4850, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 236776, 1992, 511, 986, 236764, 5295, 10498, 623, 35992, 1083, 623, 3118, 236771, 236778, 236800, 236800, 236828, 236874, 236770, 236771, 236832, 236771, 827, 623, 507, 236759, 236779, 32504, 1083, 3714, 28455, 1083, 236743, 236832, 236778, 236761, 236810, 236764, 623, 22504, 1083, 236743, 236828, 236770, 236761, 236800, 236764, 623, 84688, 76634, 1083, 236743, 236825, 236828, 236761, 236819, 1263, 623, 15080, 1013, 1083, 3714, 13214, 236779, 15080, 1083, 236743, 236825, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236800, 236832, 1263, 623, 78024, 236779, 28128, 1083, 3714, 28455, 1083, 236743, 236825, 236810, 236761, 236812, 236764, 623, 22504, 1083, 236743, 236832, 236828, 236761, 236770, 236764, 623, 84688, 76634, 1083, 236743, 236825, 236778, 236761, 236800, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 21299, 1192, 42622, 827, 623, 35992, 1083, 623, 3118, 236812, 236819, 236812, 236812, 236810, 236824, 236770, 236771, 236778, 236832, 827, 623, 507, 236759, 236779, 8318, 1083, 236743, 236832, 236828, 236761, 236810, 236764, 623, 125595, 1083, 236743, 236832, 236810, 236761, 236778, 236764, 623, 22504, 1083, 236743, 236828, 236771, 236761, 236770, 236764, 623, 84688, 76634, 1083, 236743, 236828, 236778, 236761, 236812, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236812, 236810, 236764, 623, 78024, 236779, 28128, 236779, 507, 236759, 1083, 236743, 236825, 236828, 236761, 236819, 236764, 623, 18223, 755, 236779, 15080, 1083, 623, 236828, 236828, 594, 99019, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 562, 1992, 511, 986, 532, 19939, 1192, 42622, 236789, 236751, 86101, 3736, 531, 1601, 8701, 3435, 29482, 7760, 573, 822, 2033, 2065, 1960, 236787, 108, 1018, 236770, 236761, 562, 1992, 511, 986, 568, 2249, 1204, 236787, 2590, 236771, 236778, 236800, 236800, 236828, 236874, 236770, 236771, 236832, 236771, 62902, 107, 236772, 5213, 200249, 95324, 66515, 138, 107, 138, 73659, 236787, 236743, 236832, 236778, 236761, 236810, 568, 21314, 236761, 3956, 34561, 236761, 236743, 236825, 236810, 236761, 236812, 236768, 138, 107, 138, 30222, 236787, 236743, 236828, 236770, 236761, 236800, 568, 21314, 236761, 3956, 34561, 236761, 236743, 236832, 236828, 236761, 236770, 236768, 138, 107, 138, 201521, 236787, 236743, 236825, 236828, 236761, 236819, 568, 21314, 236761, 3956, 34561, 236761, 236743, 236825, 236778, 236761, 236800, 236768, 138, 107, 236772, 5213, 29002, 1013, 66515, 138, 107, 138, 73939, 30052, 236787, 236743, 236800, 236832, 568, 725, 529, 2578, 236812, 236771, 9539, 16106, 4699, 236768, 138, 107, 138, 18085, 30052, 236787, 236743, 236825, 236770, 236778, 108, 1018, 236778, 236761, 19939, 1192, 42622, 568, 2249, 1204, 236787, 2590, 236812, 236819, 236812, 236812, 236810, 236824, 236770, 236771, 236778, 236832, 62902, 107, 236772, 5213, 200249, 95324, 66515, 138, 107, 138, 73659, 236787, 236743, 236832, 236810, 236761, 236778, 138, 107, 138, 30222, 236787, 236743, 236828, 236771, 236761, 236770, 138, 107, 138, 201521, 236787, 236743, 236828, 236778, 236761, 236812, 46260, 216729, 3736, 12016, 138, 107, 236772, 5213, 29002, 1013, 66515, 138, 107, 138, 73939, 30052, 236787, 236743, 236770, 236778, 138, 107, 138, 18085, 30052, 236787, 236743, 236812, 236810, 138, 107, 138, 28093, 755, 236787, 236743, 236828, 236828, 594, 99019, 568, 3991, 236772, 43289, 56209, 236768, 108, 1018, 3503, 197076, 62503, 573, 5180, 7449, 53121, 107, 236770, 236761, 5213, 201521, 30235, 1018, 138, 107, 139, 236772, 19939, 1192, 236789, 236751, 27414, 6317, 568, 236828, 236778, 236761, 236812, 236768, 563, 236743, 236770, 236819, 236908, 3715, 1082, 562, 1992, 511, 986, 532, 236743, 236800, 236778, 236908, 2787, 3956, 34561, 236761, 138, 107, 139, 236772, 14066, 22743, 3905, 15459, 19898, 653, 9691, 14143, 44362, 236761, 108, 236778, 236761, 5213, 73659, 32237, 1018, 138, 107, 139, 236772, 10508, 4699, 112530, 528, 8646, 19455, 236764, 840, 7760, 2849, 528, 236787, 138, 107, 141, 236772, 48233, 2033, 2065, 1698, 73476, 138, 107, 141, 236772, 14533, 236772, 97883, 14227, 573, 70452, 138, 107, 141, 236772, 14232, 13049, 531, 6439, 3627, 8321, 108, 236800, 236761, 5213, 30222, 27938, 81909, 1018, 138, 107, 139, 236772, 5978, 1800, 6317, 1494, 528, 2777, 19455, 568, 236828, 236771, 236862, 779, 611, 1451, 45426, 1343, 236787, 138, 107, 141, 236772, 11493, 2404, 4993, 6607, 138, 107, 141, 236772, 10668, 90916, 4122, 83073, 138, 107, 141, 236772, 118836, 607, 2263, 9550, 16545, 108, 236812, 236761, 5213, 73939, 56489, 104921, 1018, 138, 107, 139, 236772, 669, 16106, 3956, 4398, 86101, 6317, 563, 236743, 236825, 236828, 236761, 236819, 1271, 34957, 672, 29645, 795, 577, 6749, 138, 107, 139, 236772, 30235, 580, 19455, 1298, 1800, 4699, 1407, 6658, 49679, 236787, 138, 107, 141, 236772, 562, 1992, 511, 986, 236787, 75337, 568, 236825, 236828, 236761, 236819, 7728, 236761, 3956, 236743, 236825, 236778, 236761, 236800, 236768, 138, 107, 141, 236772, 19939, 1192, 236787, 18592, 568, 236832, 236810, 236761, 236778, 7728, 236761, 910, 1852, 236743, 236828, 236778, 236761, 236812, 27414, 6317, 236768, 108, 38786, 611, 1133, 786, 531, 2847, 3530, 24488, 5671, 44362, 653, 86101, 13761, 23693, 36443, 531, 2033, 2065, 3019, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 9813, 3671, 236761, 18186, 580, 1724, 86101, 80293, 236764, 564, 236789, 236753, 1133, 531, 2619, 3530, 24488, 7675, 573, 1041, 1960, 236761, 28344, 611, 2847, 236787, 236743, 236770, 236761, 5213, 236776, 5498, 27414, 10318, 1018, 600, 48110, 3905, 15459, 532, 14143, 8073, 3361, 531, 19939, 1192, 236789, 236751, 1494, 236772, 68219, 2028, 236881, 236743, 236778, 236761, 5213, 59932, 573, 16074, 8646, 19455, 1018, 1133, 5177, 13049, 22109, 6224, 532, 2708, 236772, 97883, 7500, 14120, 528, 2033, 2065, 6675, 236881, 236743, 236800, 236761, 5213, 38408, 529, 3399, 2404, 4993, 6607, 1018, 600, 1451, 1601, 45426, 1041, 2777, 4100, 6317, 6998, 1144, 1239, 4699, 5633, 2729, 236881, 564, 1461, 531, 2016, 496, 31044, 86101, 2731, 600, 100146, 607, 1041, 10231, 4313, 531, 1960, 1651, 7107, 3582, 29482, 528, 506, 9539, 16106, 2436, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31044, 86101, 8688, 98889, 36443, 531, 822, 2033, 2065, 1960, 7675, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 75337, 36376, 33404, 568, 128345, 684, 19939, 1192, 236789, 236751, 9483, 62902, 138, 107, 1018, 17839, 62408, 833, 63040, 23718, 1018, 138, 107, 2717, 60865, 107, 1018, 201521, 208310, 1018, 138, 107, 236772, 5213, 17839, 60197, 1018, 138, 107, 138, 236772, 23170, 236787, 236743, 236810, 236771, 236908, 8256, 236786, 9181, 236772, 34280, 3295, 138, 107, 138, 236772, 236743, 236778, 236810, 236908, 10065, 699, 1208, 65682, 24358, 4402, 138, 107, 138, 236772, 63919, 15459, 4122, 573, 26972, 39113, 138, 108, 236772, 5213, 70408, 833, 57202, 1018, 138, 107, 138, 236772, 50292, 6145, 79880, 529, 2065, 28463, 138, 107, 138, 236772, 199432, 194563, 236786, 95601, 4122, 573, 784, 4698, 138, 107, 138, 236772, 2254, 32047, 135921, 6733, 4957, 607, 36599, 13761, 138, 108, 236772, 5213, 52277, 64608, 1018, 138, 107, 138, 236772, 75337, 27242, 6307, 568, 75819, 586, 9352, 1473, 138, 107, 140, 236772, 6885, 15459, 19455, 138, 107, 140, 236772, 63040, 20118, 3136, 138, 107, 140, 236772, 18982, 37249, 4122, 15323, 2144, 138, 107, 2717, 108, 1018, 46048, 42272, 66515, 8600, 496, 75337, 8171, 607, 26644, 4698, 10065, 531, 4883, 40240, 236761, 108, 7243, 108, 10354, 5213, 236778, 236761, 18592, 116589, 64608, 58004, 1018, 138, 107, 1018, 9435, 10668, 72143, 59825, 1018, 138, 107, 236909, 106022, 158, 236909, 23170, 55733, 144, 236909, 5774, 17468, 10474, 143, 236909, 13474, 111506, 144, 236909, 138, 107, 236909, 2819, 43386, 236909, 2819, 1040, 236909, 2819, 29118, 236909, 2819, 12857, 236909, 138, 107, 236909, 14232, 69759, 25870, 138, 236909, 236743, 236819, 236810, 236908, 22109, 143, 236909, 50292, 8735, 24391, 144, 236909, 6475, 114935, 147, 236909, 138, 107, 236909, 14533, 236772, 236304, 40088, 42056, 138, 236909, 236743, 236770, 236771, 236771, 236908, 5898, 26551, 236909, 38039, 7408, 25716, 147, 236909, 51399, 897, 568, 157658, 3997, 236768, 1109, 138, 107, 236909, 16850, 54524, 149, 236909, 236743, 236828, 236771, 236908, 11086, 216670, 139, 236909, 16850, 6429, 10400, 16074, 139, 236909, 43804, 236847, 68123, 13761, 145, 236909, 138, 108, 1018, 12703, 96305, 66515, 138, 107, 236770, 236761, 6890, 5213, 19540, 48618, 1018, 573, 109325, 210943, 568, 15866, 1426, 236743, 236778, 236771, 236771, 236862, 21217, 236786, 11283, 769, 138, 107, 236778, 236761, 32300, 607, 5213, 164761, 26247, 1018, 573, 5898, 7500, 19416, 2802, 236761, 138, 107, 236800, 236761, 22789, 7384, 8646, 4100, 2072, 1699, 5213, 8574, 2919, 86101, 23693, 84750, 108, 7243, 108, 10354, 5213, 236800, 236761, 11493, 5554, 6824, 26935, 1018, 138, 107, 1018, 236796, 132653, 8779, 27938, 139945, 1018, 138, 107, 2717, 60865, 107, 1018, 236776, 236761, 85337, 31203, 39276, 122354, 1018, 138, 107, 236772, 32300, 607, 558, 10920, 5796, 7423, 5554, 531, 4253, 236787, 138, 107, 138, 236772, 50292, 15886, 3997, 7694, 138, 107, 138, 236772, 20909, 4204, 21199, 4749, 138, 107, 138, 236772, 129421, 14966, 236787, 236743, 236770, 236771, 236908, 9095, 528, 17360, 20503, 3571, 11383, 138, 108, 1018, 236799, 236761, 10668, 90916, 52414, 6824, 1018, 138, 107, 236772, 6521, 1883, 236772, 94636, 4122, 528, 236787, 138, 107, 138, 236772, 14112, 22189, 9069, 2404, 1894, 138, 107, 138, 236772, 593, 112448, 2065, 4181, 138, 107, 138, 236772, 43276, 1915, 522, 11403, 607, 9539, 126393, 8096, 138, 108, 1018, 236780, 236761, 14232, 5554, 48824, 40434, 1018, 138, 107, 236772, 204843, 31351, 531, 2708, 236772, 27163, 40102, 573, 236787, 138, 107, 138, 236772, 16218, 16602, 2802, 138, 107, 138, 236772, 155040, 32272, 13283, 138, 107, 138, 236772, 8779, 27347, 14175, 138, 108, 1018, 236796, 236761, 77362, 46483, 6824, 1018, 138, 107, 236772, 18982, 24564, 236743, 236778, 236771, 3885, 236786, 3704, 531, 236787, 138, 107, 138, 236772, 12263, 9550, 16545, 138, 107, 138, 236772, 127380, 75658, 607, 24831, 17014, 138, 107, 138, 236772, 30452, 4100, 4323, 24564, 6468, 25716, 900, 8324, 106834, 138, 107, 2717, 108, 7243, 108, 10354, 5213, 55806, 9534, 34428, 1018, 138, 107, 15354, 580, 5213, 236775, 109942, 27938, 116589, 236775, 1018, 600, 17794, 86101, 4820, 236787, 138, 107, 236770, 236761, 5213, 17224, 10668, 24502, 66515, 67560, 7500, 17446, 1343, 9539, 10321, 26657, 236761, 138, 107, 236778, 236761, 5213, 2100, 117678, 66515, 22789, 4430, 17681, 14900, 16195, 86101, 19455, 236761, 138, 107, 236800, 236761, 5213, 9004, 10270, 8236, 66515, 8600, 95919, 6607, 573, 122751, 8904, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 6521, 496, 236743, 236800, 236772, 3704, 93992, 86101, 8688, 75716, 236881, 138, 107, 236778, 236761, 8600, 71415, 14273, 529, 1239, 23693, 528, 11685, 236786, 18545, 6518, 236881, 138, 107, 236800, 236761, 39525, 5192, 573, 37803, 1239, 7675, 1131, 29311, 32816, 236881, 138, 108, 11069, 3213, 580, 26614, 17934, 24488, 568, 125595, 19455, 236768, 607, 3399, 1028, 236772, 33382, 568, 22504, 4100, 236768, 14004, 496, 3188, 13916, 573, 86101, 29482, 528, 9539, 16106, 236761, 106, 107, 105, 2364, 107, 2094, 563, 1822, 2561, 531, 2016, 699, 1271, 564, 14756, 506, 10231, 3904, 236761, 3792, 236858, 236751, 10764, 672, 607, 83979, 8688, 6436, 600, 8913, 607, 1041, 34315, 236761, 28344, 611, 236787, 236743, 236770, 236761, 5213, 26925, 496, 236743, 236800, 236772, 3704, 93992, 86101, 75716, 1018, 600, 27592, 5411, 3823, 18779, 568, 6005, 236743, 236825, 3794, 779, 91798, 17461, 568, 16431, 236743, 236770, 236772, 236778, 779, 532, 1440, 236772, 6061, 29482, 568, 16431, 236743, 236800, 20625, 12213, 71884, 1133, 26551, 127946, 90353, 236764, 4122, 1948, 6309, 13455, 236764, 532, 3399, 1948, 150180, 236761, 236743, 236778, 236761, 5213, 232866, 23693, 1018, 573, 236787, 753, 562, 5213, 84688, 76634, 192575, 1018, 16074, 3905, 15459, 532, 14143, 19455, 753, 1455, 5213, 125595, 36112, 1018, 37803, 7500, 14120, 1262, 607, 3627, 9095, 7675, 753, 562, 5213, 22504, 4100, 52299, 1018, 573, 28023, 532, 24564, 3885, 36353, 1239, 573, 11685, 236786, 18545, 607, 23602, 877, 236772, 25089, 573, 5609, 15621, 236761, 236743, 236800, 236761, 5213, 93000, 29311, 236772, 56215, 5192, 1018, 600, 10681, 1041, 86101, 7545, 618, 496, 13128, 7821, 1024, 562, 1992, 511, 986, 236786, 21299, 1192, 236764, 79720, 236787, 753, 2088, 34957, 506, 16106, 3956, 236858, 236751, 236743, 236825, 236828, 236761, 236819, 86101, 4398, 17707, 17286, 4652, 753, 669, 10471, 3435, 529, 9539, 236858, 27942, 5499, 568, 236832, 236771, 236519, 3911, 2299, 13958, 236743, 236812, 236771, 236908, 2338, 236743, 236778, 236771, 236770, 236771, 236768, 753, 66431, 1624, 5254, 699, 3361, 2033, 2065, 8634, 600, 12569, 86101, 44362, 564, 1461, 531, 7002, 1041, 10231, 236764, 4916, 236772, 498, 4313, 607, 14971, 29482, 236761, 1701, 2591, 236764, 1451, 506, 75716, 56856, 2708, 236772, 13769, 5177, 13049, 22109, 1171, 568, 41007, 3345, 236768, 1680, 26551, 127946, 568, 87596, 82425, 2157, 20625, 1174, 100146, 607, 1041, 24104, 573, 31044, 236764, 56296, 5609, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 3904, 672, 1131, 1806, 83979, 6237, 32769, 607, 822, 10231, 8688, 22195, 236761, 3792, 236789, 236751, 3654, 607, 506, 93992, 75716, 132187, 2708, 236772, 13769, 18779, 1171, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 236743, 236800, 236772, 16431, 86101, 50698, 173160, 1018, 138, 107, 1018, 223328, 66515, 623, 48146, 969, 5315, 236764, 7397, 236750, 1891, 25243, 236775, 1271, 212649, 609, 236771, 82425, 2157, 5177, 5434, 1680, 5279, 17461, 138, 108, 236909, 5213, 47770, 1018, 1109, 5213, 94394, 1018, 1109, 5213, 3503, 139945, 1018, 1109, 5213, 36115, 48602, 1018, 1109, 5213, 10730, 93784, 1018, 1109, 138, 107, 236909, 40673, 236909, 29118, 236909, 2819, 30104, 236909, 2819, 236909, 2819, 40686, 236909, 138, 107, 236909, 5213, 36120, 72928, 1018, 1109, 26127, 236743, 236770, 236772, 236825, 1109, 236743, 248930, 14232, 69759, 24156, 725, 236820, 1457, 236813, 248535, 63040, 17263, 6824, 236820, 1457, 236813, 249772, 86101, 27242, 126702, 55781, 1109, 113452, 236743, 236819, 236771, 236908, 5177, 22109, 236820, 1457, 236813, 240732, 236743, 236770, 236771, 236771, 236908, 4698, 15453, 236820, 1457, 236813, 240732, 7423, 86101, 6317, 1890, 236832, 236771, 1109, 26946, 4698, 990, 236820, 1457, 236813, 15370, 6436, 568, 19540, 114935, 236768, 1109, 138, 107, 236909, 5213, 11099, 1353, 72666, 1018, 1109, 8799, 236743, 236770, 236772, 236778, 1109, 236743, 245701, 51399, 7397, 106650, 568, 236810, 236771, 236908, 684, 895, 236778, 33798, 1457, 236813, 243767, 249281, 10668, 90916, 52414, 6824, 236820, 1457, 236813, 247511, 11493, 39405, 12142, 1109, 236743, 243082, 236743, 236770, 236810, 116629, 29866, 236820, 1457, 236813, 246165, 236743, 236810, 236771, 236862, 19743, 70452, 236820, 1457, 236813, 249460, 236743, 236778, 236812, 236862, 28023, 236786, 3704, 1109, 609, 236832, 236810, 236764, 236771, 236771, 236771, 15620, 14274, 236820, 1457, 236813, 131115, 1837, 24027, 1109, 138, 107, 236909, 5213, 12059, 236772, 10960, 197076, 1018, 1109, 8799, 236743, 236800, 1109, 236743, 246755, 29277, 236772, 106731, 110283, 19839, 236751, 236820, 1457, 236813, 249772, 86101, 27938, 87185, 49847, 236820, 1457, 236813, 245292, 5796, 5554, 118836, 1109, 236743, 169986, 236743, 236800, 19416, 11024, 236820, 1457, 236813, 245353, 236743, 236778, 236810, 236908, 10471, 699, 86101, 236772, 21903, 16374, 236820, 1457, 236813, 245292, 236743, 236810, 236862, 9550, 3988, 33000, 1109, 609, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 12308, 236820, 1457, 236813, 200249, 13761, 5368, 1109, 138, 108, 1018, 89740, 13739, 66515, 138, 107, 236772, 94288, 26551, 127946, 3097, 8799, 236743, 236778, 1308, 5177, 15749, 9815, 5384, 138, 107, 236772, 51199, 24564, 6468, 7675, 568, 236778, 236771, 236771, 3885, 236786, 3704, 236768, 531, 4698, 3736, 10595, 138, 107, 236772, 6890, 8799, 236743, 236770, 86101, 24391, 2536, 531, 45432, 2480, 8657, 6224, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 175014, 64608, 58004, 1018, 138, 107, 2595, 5213, 201521, 27242, 6307, 568, 18545, 62902, 138, 107, 2717, 47779, 107, 236784, 25515, 236769, 138, 107, 138, 156735, 236779, 38294, 236764, 568, 41332, 236779, 39986, 900, 10645, 34280, 236779, 39986, 9805, 9640, 236779, 17839, 236764, 138, 107, 138, 92973, 236779, 38294, 236764, 236743, 236770, 753, 568, 82877, 847, 236786, 9640, 236779, 40282, 1258, 779, 138, 107, 138, 8318, 236764, 161858, 2413, 236779, 165229, 6409, 236769, 156735, 236779, 38294, 236764, 14143, 236779, 38294, 236768, 138, 107, 236768, 138, 107, 2717, 107, 1018, 3503, 42286, 66515, 138, 107, 236772, 6885, 86236, 52299, 568, 9913, 236772, 6392, 1090, 3789, 9535, 236768, 138, 107, 236772, 63040, 20118, 2212, 607, 5989, 4400, 3671, 4321, 138, 107, 236772, 63919, 6317, 7003, 44751, 138, 108, 2595, 5213, 73659, 59825, 568, 18545, 62902, 138, 107, 2717, 47779, 107, 236784, 6354, 236769, 138, 107, 138, 6223, 236769, 32106, 236779, 4036, 4485, 6867, 236743, 236771, 236761, 236819, 236810, 236764, 16850, 236779, 148271, 6867, 236743, 236771, 236761, 236828, 779, 138, 107, 138, 236775, 2791, 30452, 827, 138, 107, 138, 236775, 115500, 89282, 236775, 138, 107, 236768, 138, 107, 2717, 107, 1018, 97880, 116589, 66515, 138, 107, 236772, 51399, 17446, 25805, 568, 2427, 236787, 7635, 14208, 900, 15620, 87249, 138, 107, 236772, 16850, 14120, 52299, 568, 17943, 531, 41108, 1458, 236768, 138, 107, 236772, 11117, 15749, 36112, 568, 36473, 1090, 609, 10683, 699, 5177, 7728, 3627, 236768, 138, 108, 2595, 5213, 30222, 27938, 80135, 568, 14979, 62902, 138, 107, 1018, 96579, 33404, 66515, 138, 107, 2717, 60865, 107, 236840, 136983, 7343, 236842, 138, 107, 236772, 208749, 236787, 870, 236917, 236842, 568, 10206, 236787, 236743, 236778, 236771, 51811, 138, 107, 236772, 116695, 27242, 236787, 870, 236917, 236786, 236810, 236842, 138, 107, 236772, 22177, 236772, 1048, 57354, 236787, 138, 107, 138, 236772, 870, 4422, 27468, 2033, 20503, 573, 1903, 236743, 236770, 236771, 236908, 4652, 4399, 138, 107, 138, 236772, 870, 4422, 19148, 5405, 607, 870, 13149, 19563, 6022, 236842, 138, 108, 218799, 35174, 80135, 138, 107, 236772, 18982, 7343, 1109, 35174, 1109, 40434, 1109, 27938, 24118, 138, 107, 236772, 14691, 236787, 623, 60526, 79204, 1109, 236743, 236770, 236810, 1109, 51998, 39405, 1109, 236743, 236800, 4399, 11081, 531, 5905, 2065, 236775, 138, 107, 2717, 108, 1018, 65787, 66515, 564, 740, 2847, 6340, 10828, 14273, 529, 1239, 23693, 4323, 4553, 768, 611, 236789, 236753, 1133, 1271, 1164, 4024, 822, 3421, 236761, 108, 7243, 108, 10354, 5213, 236800, 236761, 87185, 236772, 150859, 86101, 178852, 1018, 138, 107, 1018, 3503, 139517, 36376, 66515, 138, 107, 2717, 60865, 107, 1018, 181673, 197076, 1018, 138, 107, 236775, 2292, 28307, 496, 236743, 236832, 236810, 236862, 86101, 6317, 528, 8799, 236743, 236770, 568, 21314, 236761, 3956, 34561, 236761, 236743, 236825, 236828, 236761, 236819, 779, 692, 6439, 17286, 4652, 684, 236743, 236812, 236771, 236519, 1651, 40101, 573, 9539, 236789, 46144, 8633, 1271, 506, 236743, 236832, 236771, 236862, 5499, 13958, 236743, 236812, 236771, 236908, 2338, 236743, 236778, 236771, 236770, 236771, 236761, 5137, 188164, 236772, 6005, 4313, 64972, 672, 657, 236743, 236825, 236771, 236908, 3718, 82425, 2157, 1082, 26694, 1781, 108, 1018, 135930, 15316, 16785, 46980, 1018, 138, 107, 236775, 49077, 2033, 2065, 15063, 1133, 25496, 13743, 5554, 11105, 236787, 138, 107, 240721, 236743, 236778, 236778, 236908, 3718, 4698, 38374, 1343, 27414, 17461, 138, 107, 240721, 609, 236770, 236761, 236778, 236792, 7384, 15749, 699, 5177, 13049, 138, 107, 240721, 236743, 236800, 236810, 236908, 13671, 580, 16374, 699, 86101, 236772, 29852, 2350, 913, 236775, 108, 1018, 12059, 236772, 10960, 88444, 1018, 138, 107, 236775, 8409, 562, 1992, 511, 986, 568, 200249, 236743, 236832, 236770, 236768, 532, 19939, 1192, 568, 200249, 236743, 236832, 236828, 236761, 236810, 236768, 2080, 528, 2953, 19455, 236764, 1023, 3399, 2404, 12434, 2028, 14004, 4709, 1550, 236787, 138, 107, 236772, 236743, 236819, 236771, 236908, 529, 18669, 11383, 3291, 7391, 138, 107, 236772, 77362, 3885, 2016, 2263, 91205, 600, 17707, 7009, 5384, 138, 107, 236772, 86101, 29624, 59594, 236743, 236778, 236810, 236519, 13671, 236772, 106094, 2147, 236772, 9346, 7391, 236775, 107, 2717, 108, 1018, 20216, 45179, 59336, 526, 66515, 138, 107, 6924, 496, 623, 69033, 42622, 86101, 50647, 236775, 9535, 6807, 236787, 138, 107, 236770, 236761, 20467, 4398, 568, 236825, 236828, 236761, 236819, 236768, 138, 107, 236778, 236761, 25966, 7428, 568, 236776, 1992, 511, 986, 236743, 236832, 236770, 236764, 19939, 1192, 236743, 236832, 236828, 236761, 236810, 236768, 138, 107, 236800, 236761, 5180, 8799, 236743, 236770, 3328, 568, 236832, 236810, 51811, 532, 8799, 236743, 236800, 80125, 568, 236828, 236810, 236768, 138, 108, 7243, 108, 10354, 5213, 46048, 77453, 1018, 138, 107, 11069, 208825, 3590, 14971, 5113, 236787, 138, 107, 236770, 236761, 5213, 23403, 236743, 236770, 236772, 236825, 66515, 30235, 580, 609, 236771, 236772, 13769, 5177, 11918, 1699, 822, 6330, 17934, 3904, 138, 107, 236778, 236761, 5213, 16431, 236743, 236770, 66515, 6890, 9113, 2157, 15749, 6131, 236770, 236810, 236764, 236771, 236771, 236771, 236862, 9460, 699, 3627, 9095, 236768, 531, 3055, 4068, 15620, 25663, 138, 107, 236800, 236761, 5213, 16431, 236743, 236778, 236772, 236800, 66515, 212649, 9806, 86101, 19455, 531, 45432, 1550, 236772, 5140, 16374, 607, 20990, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 6521, 506, 20824, 23602, 1131, 496, 2844, 30221, 236881, 138, 107, 236778, 236761, 41261, 3530, 7224, 6182, 573, 9539, 8646, 236786, 157658, 11213, 6607, 236881, 138, 107, 236800, 236761, 8600, 496, 4430, 236772, 56215, 86101, 4100, 2072, 7930, 531, 2016, 5210, 607, 7965, 236881, 138, 108, 2094, 75716, 32618, 822, 4916, 236772, 498, 17934, 3117, 1651, 3788, 49022, 86101, 29482, 2351, 236743, 236800, 236825, 3794, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 1502, 1041, 1852, 2033, 2065, 3019, 1960, 1590, 528, 9975, 35900, 236761, 564, 1461, 531, 2958, 86101, 14900, 529, 6330, 16106, 4699, 528, 9539, 531, 30998, 1041, 24488, 7675, 236761, 3199, 611, 33205, 86101, 14900, 573, 562, 1992, 511, 986, 568, 2249, 1204, 236787, 2590, 236771, 236778, 236800, 236800, 236828, 236874, 236770, 236771, 236832, 236771, 236768, 532, 19939, 1192, 42622, 568, 2249, 1204, 236787, 2590, 236812, 236819, 236812, 236812, 236810, 236824, 236770, 236771, 236778, 236832, 20625, 6542, 236764, 10769, 910, 3956, 47551, 834, 564, 740, 8701, 4106, 1298, 1041, 861, 1960, 1451, 45426, 4850, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 236776, 1992, 511, 986, 236764, 5295, 10498, 623, 35992, 1083, 623, 3118, 236771, 236778, 236800, 236800, 236828, 236874, 236770, 236771, 236832, 236771, 827, 623, 507, 236759, 236779, 32504, 1083, 3714, 28455, 1083, 236743, 236832, 236778, 236761, 236810, 236764, 623, 22504, 1083, 236743, 236828, 236770, 236761, 236800, 236764, 623, 84688, 76634, 1083, 236743, 236825, 236828, 236761, 236819, 1263, 623, 15080, 1013, 1083, 3714, 13214, 236779, 15080, 1083, 236743, 236825, 236770, 236778, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236800, 236832, 1263, 623, 78024, 236779, 28128, 1083, 3714, 28455, 1083, 236743, 236825, 236810, 236761, 236812, 236764, 623, 22504, 1083, 236743, 236832, 236828, 236761, 236770, 236764, 623, 84688, 76634, 1083, 236743, 236825, 236778, 236761, 236800, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 21299, 1192, 42622, 827, 623, 35992, 1083, 623, 3118, 236812, 236819, 236812, 236812, 236810, 236824, 236770, 236771, 236778, 236832, 827, 623, 507, 236759, 236779, 8318, 1083, 236743, 236832, 236828, 236761, 236810, 236764, 623, 125595, 1083, 236743, 236832, 236810, 236761, 236778, 236764, 623, 22504, 1083, 236743, 236828, 236771, 236761, 236770, 236764, 623, 84688, 76634, 1083, 236743, 236828, 236778, 236761, 236812, 236764, 623, 78024, 236779, 15080, 1083, 236743, 236770, 236778, 236764, 623, 13214, 236779, 15080, 1083, 236743, 236812, 236810, 236764, 623, 78024, 236779, 28128, 236779, 507, 236759, 1083, 236743, 236825, 236828, 236761, 236819, 236764, 623, 18223, 755, 236779, 15080, 1083, 623, 236828, 236828, 594, 99019, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 562, 1992, 511, 986, 532, 19939, 1192, 42622, 236789, 236751, 86101, 3736, 531, 1601, 8701, 3435, 29482, 7760, 573, 822, 2033, 2065, 1960, 236787, 108, 1018, 236770, 236761, 562, 1992, 511, 986, 568, 2249, 1204, 236787, 2590, 236771, 236778, 236800, 236800, 236828, 236874, 236770, 236771, 236832, 236771, 62902, 107, 236772, 5213, 200249, 95324, 66515, 138, 107, 138, 73659, 236787, 236743, 236832, 236778, 236761, 236810, 568, 21314, 236761, 3956, 34561, 236761, 236743, 236825, 236810, 236761, 236812, 236768, 138, 107, 138, 30222, 236787, 236743, 236828, 236770, 236761, 236800, 568, 21314, 236761, 3956, 34561, 236761, 236743, 236832, 236828, 236761, 236770, 236768, 138, 107, 138, 201521, 236787, 236743, 236825, 236828, 236761, 236819, 568, 21314, 236761, 3956, 34561, 236761, 236743, 236825, 236778, 236761, 236800, 236768, 138, 107, 236772, 5213, 29002, 1013, 66515, 138, 107, 138, 73939, 30052, 236787, 236743, 236800, 236832, 568, 725, 529, 2578, 236812, 236771, 9539, 16106, 4699, 236768, 138, 107, 138, 18085, 30052, 236787, 236743, 236825, 236770, 236778, 108, 1018, 236778, 236761, 19939, 1192, 42622, 568, 2249, 1204, 236787, 2590, 236812, 236819, 236812, 236812, 236810, 236824, 236770, 236771, 236778, 236832, 62902, 107, 236772, 5213, 200249, 95324, 66515, 138, 107, 138, 73659, 236787, 236743, 236832, 236810, 236761, 236778, 138, 107, 138, 30222, 236787, 236743, 236828, 236771, 236761, 236770, 138, 107, 138, 201521, 236787, 236743, 236828, 236778, 236761, 236812, 46260, 216729, 3736, 12016, 138, 107, 236772, 5213, 29002, 1013, 66515, 138, 107, 138, 73939, 30052, 236787, 236743, 236770, 236778, 138, 107, 138, 18085, 30052, 236787, 236743, 236812, 236810, 138, 107, 138, 28093, 755, 236787, 236743, 236828, 236828, 594, 99019, 568, 3991, 236772, 43289, 56209, 236768, 108, 1018, 3503, 197076, 62503, 573, 5180, 7449, 53121, 107, 236770, 236761, 5213, 201521, 30235, 1018, 138, 107, 139, 236772, 19939, 1192, 236789, 236751, 27414, 6317, 568, 236828, 236778, 236761, 236812, 236768, 563, 236743, 236770, 236819, 236908, 3715, 1082, 562, 1992, 511, 986, 532, 236743, 236800, 236778, 236908, 2787, 3956, 34561, 236761, 138, 107, 139, 236772, 14066, 22743, 3905, 15459, 19898, 653, 9691, 14143, 44362, 236761, 108, 236778, 236761, 5213, 73659, 32237, 1018, 138, 107, 139, 236772, 10508, 4699, 112530, 528, 8646, 19455, 236764, 840, 7760, 2849, 528, 236787, 138, 107, 141, 236772, 48233, 2033, 2065, 1698, 73476, 138, 107, 141, 236772, 14533, 236772, 97883, 14227, 573, 70452, 138, 107, 141, 236772, 14232, 13049, 531, 6439, 3627, 8321, 108, 236800, 236761, 5213, 30222, 27938, 81909, 1018, 138, 107, 139, 236772, 5978, 1800, 6317, 1494, 528, 2777, 19455, 568, 236828, 236771, 236862, 779, 611, 1451, 45426, 1343, 236787, 138, 107, 141, 236772, 11493, 2404, 4993, 6607, 138, 107, 141, 236772, 10668, 90916, 4122, 83073, 138, 107, 141, 236772, 118836, 607, 2263, 9550, 16545, 108, 236812, 236761, 5213, 73939, 56489, 104921, 1018, 138, 107, 139, 236772, 669, 16106, 3956, 4398, 86101, 6317, 563, 236743, 236825, 236828, 236761, 236819, 1271, 34957, 672, 29645, 795, 577, 6749, 138, 107, 139, 236772, 30235, 580, 19455, 1298, 1800, 4699, 1407, 6658, 49679, 236787, 138, 107, 141, 236772, 562, 1992, 511, 986, 236787, 75337, 568, 236825, 236828, 236761, 236819, 7728, 236761, 3956, 236743, 236825, 236778, 236761, 236800, 236768, 138, 107, 141, 236772, 19939, 1192, 236787, 18592, 568, 236832, 236810, 236761, 236778, 7728, 236761, 910, 1852, 236743, 236828, 236778, 236761, 236812, 27414, 6317, 236768, 108, 38786, 611, 1133, 786, 531, 2847, 3530, 24488, 5671, 44362, 653, 86101, 13761, 23693, 36443, 531, 2033, 2065, 3019, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 9813, 3671, 236761, 18186, 580, 1724, 86101, 80293, 236764, 564, 236789, 236753, 1133, 531, 2619, 3530, 24488, 7675, 573, 1041, 1960, 236761, 28344, 611, 2847, 236787, 236743, 236770, 236761, 5213, 236776, 5498, 27414, 10318, 1018, 600, 48110, 3905, 15459, 532, 14143, 8073, 3361, 531, 19939, 1192, 236789, 236751, 1494, 236772, 68219, 2028, 236881, 236743, 236778, 236761, 5213, 59932, 573, 16074, 8646, 19455, 1018, 1133, 5177, 13049, 22109, 6224, 532, 2708, 236772, 97883, 7500, 14120, 528, 2033, 2065, 6675, 236881, 236743, 236800, 236761, 5213, 38408, 529, 3399, 2404, 4993, 6607, 1018, 600, 1451, 1601, 45426, 1041, 2777, 4100, 6317, 6998, 1144, 1239, 4699, 5633, 2729, 236881, 564, 1461, 531, 2016, 496, 31044, 86101, 2731, 600, 100146, 607, 1041, 10231, 4313, 531, 1960, 1651, 7107, 3582, 29482, 528, 506, 9539, 16106, 2436, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31044, 86101, 8688, 98889, 36443, 531, 822, 2033, 2065, 1960, 7675, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 75337, 36376, 33404, 568, 128345, 684, 19939, 1192, 236789, 236751, 9483, 62902, 138, 107, 1018, 17839, 62408, 833, 63040, 23718, 1018, 138, 107, 2717, 60865, 107, 1018, 201521, 208310, 1018, 138, 107, 236772, 5213, 17839, 60197, 1018, 138, 107, 138, 236772, 23170, 236787, 236743, 236810, 236771, 236908, 8256, 236786, 9181, 236772, 34280, 3295, 138, 107, 138, 236772, 236743, 236778, 236810, 236908, 10065, 699, 1208, 65682, 24358, 4402, 138, 107, 138, 236772, 63919, 15459, 4122, 573, 26972, 39113, 138, 108, 236772, 5213, 70408, 833, 57202, 1018, 138, 107, 138, 236772, 50292, 6145, 79880, 529, 2065, 28463, 138, 107, 138, 236772, 199432, 194563, 236786, 95601, 4122, 573, 784, 4698, 138, 107, 138, 236772, 2254, 32047, 135921, 6733, 4957, 607, 36599, 13761, 138, 108, 236772, 5213, 52277, 64608, 1018, 138, 107, 138, 236772, 75337, 27242, 6307, 568, 75819, 586, 9352, 1473, 138, 107, 140, 236772, 6885, 15459, 19455, 138, 107, 140, 236772, 63040, 20118, 3136, 138, 107, 140, 236772, 18982, 37249, 4122, 15323, 2144, 138, 107, 2717, 108, 1018, 46048, 42272, 66515, 8600, 496, 75337, 8171, 607, 26644, 4698, 10065, 531, 4883, 40240, 236761, 108, 7243, 108, 10354, 5213, 236778, 236761, 18592, 116589, 64608, 58004, 1018, 138, 107, 1018, 9435, 10668, 72143, 59825, 1018, 138, 107, 236909, 106022, 158, 236909, 23170, 55733, 144, 236909, 5774, 17468, 10474, 143, 236909, 13474, 111506, 144, 236909, 138, 107, 236909, 2819, 43386, 236909, 2819, 1040, 236909, 2819, 29118, 236909, 2819, 12857, 236909, 138, 107, 236909, 14232, 69759, 25870, 138, 236909, 236743, 236819, 236810, 236908, 22109, 143, 236909, 50292, 8735, 24391, 144, 236909, 6475, 114935, 147, 236909, 138, 107, 236909, 14533, 236772, 236304, 40088, 42056, 138, 236909, 236743, 236770, 236771, 236771, 236908, 5898, 26551, 236909, 38039, 7408, 25716, 147, 236909, 51399, 897, 568, 157658, 3997, 236768, 1109, 138, 107, 236909, 16850, 54524, 149, 236909, 236743, 236828, 236771, 236908, 11086, 216670, 139, 236909, 16850, 6429, 10400, 16074, 139, 236909, 43804, 236847, 68123, 13761, 145, 236909, 138, 108, 1018, 12703, 96305, 66515, 138, 107, 236770, 236761, 6890, 5213, 19540, 48618, 1018, 573, 109325, 210943, 568, 15866, 1426, 236743, 236778, 236771, 236771, 236862, 21217, 236786, 11283, 769, 138, 107, 236778, 236761, 32300, 607, 5213, 164761, 26247, 1018, 573, 5898, 7500, 19416, 2802, 236761, 138, 107, 236800, 236761, 22789, 7384, 8646, 4100, 2072, 1699, 5213, 8574, 2919, 86101, 23693, 84750, 108, 7243, 108, 10354, 5213, 236800, 236761, 11493, 5554, 6824, 26935, 1018, 138, 107, 1018, 236796, 132653, 8779, 27938, 139945, 1018, 138, 107, 2717, 60865, 107, 1018, 236776, 236761, 85337, 31203, 39276, 122354, 1018, 138, 107, 236772, 32300, 607, 558, 10920, 5796, 7423, 5554, 531, 4253, 236787, 138, 107, 138, 236772, 50292, 15886, 3997, 7694, 138, 107, 138, 236772, 20909, 4204, 21199, 4749, 138, 107, 138, 236772, 129421, 14966, 236787, 236743, 236770, 236771, 236908, 9095, 528, 17360, 20503, 3571, 11383, 138, 108, 1018, 236799, 236761, 10668, 90916, 52414, 6824, 1018, 138, 107, 236772, 6521, 1883, 236772, 94636, 4122, 528, 236787, 138, 107, 138, 236772, 14112, 22189, 9069, 2404, 1894, 138, 107, 138, 236772, 593, 112448, 2065, 4181, 138, 107, 138, 236772, 43276, 1915, 522, 11403, 607, 9539, 126393, 8096, 138, 108, 1018, 236780, 236761, 14232, 5554, 48824, 40434, 1018, 138, 107, 236772, 204843, 31351, 531, 2708, 236772, 27163, 40102, 573, 236787, 138, 107, 138, 236772, 16218, 16602, 2802, 138, 107, 138, 236772, 155040, 32272, 13283, 138, 107, 138, 236772, 8779, 27347, 14175, 138, 108, 1018, 236796, 236761, 77362, 46483, 6824, 1018, 138, 107, 236772, 18982, 24564, 236743, 236778, 236771, 3885, 236786, 3704, 531, 236787, 138, 107, 138, 236772, 12263, 9550, 16545, 138, 107, 138, 236772, 127380, 75658, 607, 24831, 17014, 138, 107, 138, 236772, 30452, 4100, 4323, 24564, 6468, 25716, 900, 8324, 106834, 138, 107, 2717, 108, 7243, 108, 10354, 5213, 55806, 9534, 34428, 1018, 138, 107, 15354, 580, 5213, 236775, 109942, 27938, 116589, 236775, 1018, 600, 17794, 86101, 4820, 236787, 138, 107, 236770, 236761, 5213, 17224, 10668, 24502, 66515, 67560, 7500, 17446, 1343, 9539, 10321, 26657, 236761, 138, 107, 236778, 236761, 5213, 2100, 117678, 66515, 22789, 4430, 17681, 14900, 16195, 86101, 19455, 236761, 138, 107, 236800, 236761, 5213, 9004, 10270, 8236, 66515, 8600, 95919, 6607, 573, 122751, 8904, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 6521, 496, 236743, 236800, 236772, 3704, 93992, 86101, 8688, 75716, 236881, 138, 107, 236778, 236761, 8600, 71415, 14273, 529, 1239, 23693, 528, 11685, 236786, 18545, 6518, 236881, 138, 107, 236800, 236761, 39525, 5192, 573, 37803, 1239, 7675, 1131, 29311, 32816, 236881, 138, 108, 11069, 3213, 580, 26614, 17934, 24488, 568, 125595, 19455, 236768, 607, 3399, 1028, 236772, 33382, 568, 22504, 4100, 236768, 14004, 496, 3188, 13916, 573, 86101, 29482, 528, 9539, 16106, 236761, 106, 107, 105, 2364, 107, 2094, 563, 1822, 2561, 531, 2016, 699, 1271, 564, 14756, 506, 10231, 3904, 236761, 3792, 236858, 236751, 10764, 672, 607, 83979, 8688, 6436, 600, 8913, 607, 1041, 34315, 236761, 28344, 611, 236787, 236743, 236770, 236761, 5213, 26925, 496, 236743, 236800, 236772, 3704, 93992, 86101, 75716, 1018, 600, 27592, 5411, 3823, 18779, 568, 6005, 236743, 236825, 3794, 779, 91798, 17461, 568, 16431, 236743, 236770, 236772, 236778, 779, 532, 1440, 236772, 6061, 29482, 568, 16431, 236743, 236800, 20625, 12213, 71884, 1133, 26551, 127946, 90353, 236764, 4122, 1948, 6309, 13455, 236764, 532, 3399, 1948, 150180, 236761, 236743, 236778, 236761, 5213, 232866, 23693, 1018, 573, 236787, 753, 562, 5213, 84688, 76634, 192575, 1018, 16074, 3905, 15459, 532, 14143, 19455, 753, 1455, 5213, 125595, 36112, 1018, 37803, 7500, 14120, 1262, 607, 3627, 9095, 7675, 753, 562, 5213, 22504, 4100, 52299, 1018, 573, 28023, 532, 24564, 3885, 36353, 1239, 573, 11685, 236786, 18545, 607, 23602, 877, 236772, 25089, 573, 5609, 15621, 236761, 236743, 236800, 236761, 5213, 93000, 29311, 236772, 56215, 5192, 1018, 600, 10681, 1041, 86101, 7545, 618, 496, 13128, 7821, 1024, 562, 1992, 511, 986, 236786, 21299, 1192, 236764, 79720, 236787, 753, 2088, 34957, 506, 16106, 3956, 236858, 236751, 236743, 236825, 236828, 236761, 236819, 86101, 4398, 17707, 17286, 4652, 753, 669, 10471, 3435, 529, 9539, 236858, 27942, 5499, 568, 236832, 236771, 236519, 3911, 2299, 13958, 236743, 236812, 236771, 236908, 2338, 236743, 236778, 236771, 236770, 236771, 236768, 753, 66431, 1624, 5254, 699, 3361, 2033, 2065, 8634, 600, 12569, 86101, 44362, 564, 1461, 531, 7002, 1041, 10231, 236764, 4916, 236772, 498, 4313, 607, 14971, 29482, 236761, 1701, 2591, 236764, 1451, 506, 75716, 56856, 2708, 236772, 13769, 5177, 13049, 22109, 1171, 568, 41007, 3345, 236768, 1680, 26551, 127946, 568, 87596, 82425, 2157, 20625, 1174, 100146, 607, 1041, 24104, 573, 31044, 236764, 56296, 5609, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 3904, 672, 1131, 1806, 83979, 6237, 32769, 607, 822, 10231, 8688, 22195, 236761, 3792, 236789, 236751, 3654, 607, 506, 93992, 75716, 132187, 2708, 236772, 13769, 18779, 1171, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 236743, 236800, 236772, 16431, 86101, 50698, 173160, 1018, 138, 107, 1018, 223328, 66515, 623, 48146, 969, 5315, 236764, 7397, 236750, 1891, 25243, 236775, 1271, 212649, 609, 236771, 82425, 2157, 5177, 5434, 1680, 5279, 17461, 138, 108, 236909, 5213, 47770, 1018, 1109, 5213, 94394, 1018, 1109, 5213, 3503, 139945, 1018, 1109, 5213, 36115, 48602, 1018, 1109, 5213, 10730, 93784, 1018, 1109, 138, 107, 236909, 40673, 236909, 29118, 236909, 2819, 30104, 236909, 2819, 236909, 2819, 40686, 236909, 138, 107, 236909, 5213, 36120, 72928, 1018, 1109, 26127, 236743, 236770, 236772, 236825, 1109, 236743, 248930, 14232, 69759, 24156, 725, 236820, 1457, 236813, 248535, 63040, 17263, 6824, 236820, 1457, 236813, 249772, 86101, 27242, 126702, 55781, 1109, 113452, 236743, 236819, 236771, 236908, 5177, 22109, 236820, 1457, 236813, 240732, 236743, 236770, 236771, 236771, 236908, 4698, 15453, 236820, 1457, 236813, 240732, 7423, 86101, 6317, 1890, 236832, 236771, 1109, 26946, 4698, 990, 236820, 1457, 236813, 15370, 6436, 568, 19540, 114935, 236768, 1109, 138, 107, 236909, 5213, 11099, 1353, 72666, 1018, 1109, 8799, 236743, 236770, 236772, 236778, 1109, 236743, 245701, 51399, 7397, 106650, 568, 236810, 236771, 236908, 684, 895, 236778, 33798, 1457, 236813, 243767, 249281, 10668, 90916, 52414, 6824, 236820, 1457, 236813, 247511, 11493, 39405, 12142, 1109, 236743, 243082, 236743, 236770, 236810, 116629, 29866, 236820, 1457, 236813, 246165, 236743, 236810, 236771, 236862, 19743, 70452, 236820, 1457, 236813, 249460, 236743, 236778, 236812, 236862, 28023, 236786, 3704, 1109, 609, 236832, 236810, 236764, 236771, 236771, 236771, 15620, 14274, 236820, 1457, 236813, 131115, 1837, 24027, 1109, 138, 107, 236909, 5213, 12059, 236772, 10960, 197076, 1018, 1109, 8799, 236743, 236800, 1109, 236743, 246755, 29277, 236772, 106731, 110283, 19839, 236751, 236820, 1457, 236813, 249772, 86101, 27938, 87185, 49847, 236820, 1457, 236813, 245292, 5796, 5554, 118836, 1109, 236743, 169986, 236743, 236800, 19416, 11024, 236820, 1457, 236813, 245353, 236743, 236778, 236810, 236908, 10471, 699, 86101, 236772, 21903, 16374, 236820, 1457, 236813, 245292, 236743, 236810, 236862, 9550, 3988, 33000, 1109, 609, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 12308, 236820, 1457, 236813, 200249, 13761, 5368, 1109, 138, 108, 1018, 89740, 13739, 66515, 138, 107, 236772, 94288, 26551, 127946, 3097, 8799, 236743, 236778, 1308, 5177, 15749, 9815, 5384, 138, 107, 236772, 51199, 24564, 6468, 7675, 568, 236778, 236771, 236771, 3885, 236786, 3704, 236768, 531, 4698, 3736, 10595, 138, 107, 236772, 6890, 8799, 236743, 236770, 86101, 24391, 2536, 531, 45432, 2480, 8657, 6224, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 175014, 64608, 58004, 1018, 138, 107, 2595, 5213, 201521, 27242, 6307, 568, 18545, 62902, 138, 107, 2717, 47779, 107, 236784, 25515, 236769, 138, 107, 138, 156735, 236779, 38294, 236764, 568, 41332, 236779, 39986, 900, 10645, 34280, 236779, 39986, 9805, 9640, 236779, 17839, 236764, 138, 107, 138, 92973, 236779, 38294, 236764, 236743, 236770, 753, 568, 82877, 847, 236786, 9640, 236779, 40282, 1258, 779, 138, 107, 138, 8318, 236764, 161858, 2413, 236779, 165229, 6409, 236769, 156735, 236779, 38294, 236764, 14143, 236779, 38294, 236768, 138, 107, 236768, 138, 107, 2717, 107, 1018, 3503, 42286, 66515, 138, 107, 236772, 6885, 86236, 52299, 568, 9913, 236772, 6392, 1090, 3789, 9535, 236768, 138, 107, 236772, 63040, 20118, 2212, 607, 5989, 4400, 3671, 4321, 138, 107, 236772, 63919, 6317, 7003, 44751, 138, 108, 2595, 5213, 73659, 59825, 568, 18545, 62902, 138, 107, 2717, 47779, 107, 236784, 6354, 236769, 138, 107, 138, 6223, 236769, 32106, 236779, 4036, 4485, 6867, 236743, 236771, 236761, 236819, 236810, 236764, 16850, 236779, 148271, 6867, 236743, 236771, 236761, 236828, 779, 138, 107, 138, 236775, 2791, 30452, 827, 138, 107, 138, 236775, 115500, 89282, 236775, 138, 107, 236768, 138, 107, 2717, 107, 1018, 97880, 116589, 66515, 138, 107, 236772, 51399, 17446, 25805, 568, 2427, 236787, 7635, 14208, 900, 15620, 87249, 138, 107, 236772, 16850, 14120, 52299, 568, 17943, 531, 41108, 1458, 236768, 138, 107, 236772, 11117, 15749, 36112, 568, 36473, 1090, 609, 10683, 699, 5177, 7728, 3627, 236768, 138, 108, 2595, 5213, 30222, 27938, 80135, 568, 14979, 62902, 138, 107, 1018, 96579, 33404, 66515, 138, 107, 2717, 60865, 107, 236840, 136983, 7343, 236842, 138, 107, 236772, 208749, 236787, 870, 236917, 236842, 568, 10206, 236787, 236743, 236778, 236771, 51811, 138, 107, 236772, 116695, 27242, 236787, 870, 236917, 236786, 236810, 236842, 138, 107, 236772, 22177, 236772, 1048, 57354, 236787, 138, 107, 138, 236772, 870, 4422, 27468, 2033, 20503, 573, 1903, 236743, 236770, 236771, 236908, 4652, 4399, 138, 107, 138, 236772, 870, 4422, 19148, 5405, 607, 870, 13149, 19563, 6022, 236842, 138, 108, 218799, 35174, 80135, 138, 107, 236772, 18982, 7343, 1109, 35174, 1109, 40434, 1109, 27938, 24118, 138, 107, 236772, 14691, 236787, 623, 60526, 79204, 1109, 236743, 236770, 236810, 1109, 51998, 39405, 1109, 236743, 236800, 4399, 11081, 531, 5905, 2065, 236775, 138, 107, 2717, 108, 1018, 65787, 66515, 564, 740, 2847, 6340, 10828, 14273, 529, 1239, 23693, 4323, 4553, 768, 611, 236789, 236753, 1133, 1271, 1164, 4024, 822, 3421, 236761, 108, 7243, 108, 10354, 5213, 236800, 236761, 87185, 236772, 150859, 86101, 178852, 1018, 138, 107, 1018, 3503, 139517, 36376, 66515, 138, 107, 2717, 60865, 107, 1018, 181673, 197076, 1018, 138, 107, 236775, 2292, 28307, 496, 236743, 236832, 236810, 236862, 86101, 6317, 528, 8799, 236743, 236770, 568, 21314, 236761, 3956, 34561, 236761, 236743, 236825, 236828, 236761, 236819, 779, 692, 6439, 17286, 4652, 684, 236743, 236812, 236771, 236519, 1651, 40101, 573, 9539, 236789, 46144, 8633, 1271, 506, 236743, 236832, 236771, 236862, 5499, 13958, 236743, 236812, 236771, 236908, 2338, 236743, 236778, 236771, 236770, 236771, 236761, 5137, 188164, 236772, 6005, 4313, 64972, 672, 657, 236743, 236825, 236771, 236908, 3718, 82425, 2157, 1082, 26694, 1781, 108, 1018, 135930, 15316, 16785, 46980, 1018, 138, 107, 236775, 49077, 2033, 2065, 15063, 1133, 25496, 13743, 5554, 11105, 236787, 138, 107, 240721, 236743, 236778, 236778, 236908, 3718, 4698, 38374, 1343, 27414, 17461, 138, 107, 240721, 609, 236770, 236761, 236778, 236792, 7384, 15749, 699, 5177, 13049, 138, 107, 240721, 236743, 236800, 236810, 236908, 13671, 580, 16374, 699, 86101, 236772, 29852, 2350, 913, 236775, 108, 1018, 12059, 236772, 10960, 88444, 1018, 138, 107, 236775, 8409, 562, 1992, 511, 986, 568, 200249, 236743, 236832, 236770, 236768, 532, 19939, 1192, 568, 200249, 236743, 236832, 236828, 236761, 236810, 236768, 2080, 528, 2953, 19455, 236764, 1023, 3399, 2404, 12434, 2028, 14004, 4709, 1550, 236787, 138, 107, 236772, 236743, 236819, 236771, 236908, 529, 18669, 11383, 3291, 7391, 138, 107, 236772, 77362, 3885, 2016, 2263, 91205, 600, 17707, 7009, 5384, 138, 107, 236772, 86101, 29624, 59594, 236743, 236778, 236810, 236519, 13671, 236772, 106094, 2147, 236772, 9346, 7391, 236775, 107, 2717, 108, 1018, 20216, 45179, 59336, 526, 66515, 138, 107, 6924, 496, 623, 69033, 42622, 86101, 50647, 236775, 9535, 6807, 236787, 138, 107, 236770, 236761, 20467, 4398, 568, 236825, 236828, 236761, 236819, 236768, 138, 107, 236778, 236761, 25966, 7428, 568, 236776, 1992, 511, 986, 236743, 236832, 236770, 236764, 19939, 1192, 236743, 236832, 236828, 236761, 236810, 236768, 138, 107, 236800, 236761, 5180, 8799, 236743, 236770, 3328, 568, 236832, 236810, 51811, 532, 8799, 236743, 236800, 80125, 568, 236828, 236810, 236768, 138, 108, 7243, 108, 10354, 5213, 46048, 77453, 1018, 138, 107, 11069, 208825, 3590, 14971, 5113, 236787, 138, 107, 236770, 236761, 5213, 23403, 236743, 236770, 236772, 236825, 66515, 30235, 580, 609, 236771, 236772, 13769, 5177, 11918, 1699, 822, 6330, 17934, 3904, 138, 107, 236778, 236761, 5213, 16431, 236743, 236770, 66515, 6890, 9113, 2157, 15749, 6131, 236770, 236810, 236764, 236771, 236771, 236771, 236862, 9460, 699, 3627, 9095, 236768, 531, 3055, 4068, 15620, 25663, 138, 107, 236800, 236761, 5213, 16431, 236743, 236778, 236772, 236800, 66515, 212649, 9806, 86101, 19455, 531, 45432, 1550, 236772, 5140, 16374, 607, 20990, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 6521, 506, 20824, 23602, 1131, 496, 2844, 30221, 236881, 138, 107, 236778, 236761, 41261, 3530, 7224, 6182, 573, 9539, 8646, 236786, 157658, 11213, 6607, 236881, 138, 107, 236800, 236761, 8600, 496, 4430, 236772, 56215, 86101, 4100, 2072, 7930, 531, 2016, 5210, 607, 7965, 236881, 138, 108, 2094, 75716, 32618, 822, 4916, 236772, 498, 17934, 3117, 1651, 3788, 49022, 86101, 29482, 2351, 236743, 236800, 236825, 3794, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 54909, 8351, 227185, 573, 496, 3399, 3988, 49052, 236761, 28344, 611, 33205, 1698, 23003, 532, 21212, 4889, 573, 506, 178275, 3025, 79824, 24569, 2028, 699, 506, 13382, 4456, 236881, 564, 236789, 236757, 22020, 3835, 573, 1023, 861, 29528, 8351, 532, 1461, 531, 5330, 692, 974, 6635, 236772, 9619, 45650, 2351, 7715, 236761, 6542, 236764, 2426, 768, 901, 2729, 37388, 600, 8975, 2651, 1813, 48275, 753, 600, 236789, 236751, 13832, 573, 1023, 2433, 236789, 236751, 17813, 236772, 9705, 1813, 6429, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 2958, 506, 178275, 3025, 79824, 24569, 2028, 236761, 2282, 33205, 506, 3530, 1938, 611, 1202, 236764, 564, 236789, 859, 1660, 506, 4453, 1698, 5853, 573, 672, 87223, 568, 236744, 236761, 236759, 1126, 623, 47149, 236772, 236828, 236778, 236825, 236771, 4248, 28344, 611, 5091, 9128, 506, 3530, 2028, 1548, 611, 236789, 500, 7467, 528, 236881, 9920, 3847, 236764, 564, 236789, 859, 12270, 506, 8330, 23003, 236764, 21212, 4889, 236764, 532, 2426, 573, 2487, 37388, 600, 1093, 8816, 822, 2651, 1813, 3439, 236761, 1637, 611, 236789, 500, 54538, 529, 506, 4453, 5853, 236764, 692, 740, 992, 11327, 6635, 236772, 9619, 3835, 699, 178275, 3025, 236789, 236751, 13382, 23191, 3075, 236761, 106, 107, 105, 2364, 107, 236777, 14756, 822, 1601, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 4453, 1698, 5853, 31380, 236761, 28344, 611, 3927, 178275, 3025, 236789, 236751, 13382, 23191, 573, 784, 6635, 236772, 9619, 79824, 24569, 4681, 607, 37388, 10916, 5402, 573, 2651, 1813, 8047, 236881, 564, 236789, 236753, 1133, 531, 1460, 496, 9960, 529, 910, 8330, 55455, 236764, 21212, 236764, 532, 24227, 3755, 236761, 1637, 2653, 236764, 56856, 4681, 607, 19860, 8103, 653, 15887, 236772, 60366, 37388, 600, 1093, 2768, 872, 1388, 528, 1023, 3399, 8351, 236789, 236751, 1494, 236772, 26514, 3453, 236761, 3792, 786, 1281, 1144, 3835, 4691, 1239, 13138, 532, 692, 740, 3249, 2148, 6555, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 5930, 236779, 547, 1083, 623, 818, 756, 5930, 236779, 547, 236789, 7689, 1921, 577, 496, 3530, 1698, 162355, 653, 31744, 236761, 669, 1550, 756, 170698, 24569, 236789, 7412, 531, 577, 496, 2028, 1463, 4319, 1082, 496, 18997, 1698, 5853, 236764, 837, 563, 3149, 573, 11459, 51139, 529, 8330, 23003, 236764, 21212, 236764, 532, 24227, 3755, 1781, 19465, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 19381, 6517, 236761, 2282, 24383, 607, 506, 5904, 236789, 236751, 6035, 236764, 564, 1202, 3530, 1698, 62606, 531, 7162, 607, 822, 2864, 236761, 1701, 178275, 3025, 236789, 236751, 6635, 236772, 9619, 79824, 24569, 4681, 236764, 611, 740, 1586, 4453, 1698, 62606, 568, 236744, 236761, 236759, 1126, 623, 47149, 236772, 25205, 236772, 236832, 236828, 236819, 236775, 653, 3361, 236768, 580, 910, 13382, 4456, 1208, 506, 6635, 8351, 227185, 3336, 236761, 236743, 108, 30092, 611, 236787, 107, 236770, 236761, 7179, 506, 1698, 3104, 10739, 568, 236744, 236761, 236759, 1126, 2165, 2574, 1411, 118148, 3025, 236761, 854, 236761, 826, 236786, 170346, 236772, 5101, 236772, 62473, 236772, 4368, 18833, 573, 162355, 104026, 107, 236778, 236761, 2408, 9128, 768, 611, 236789, 236753, 1133, 786, 531, 1161, 496, 1607, 3927, 7545, 607, 506, 5904, 236789, 236751, 6137, 236881, 108, 818, 5904, 20976, 7087, 496, 1698, 5853, 573, 9813, 23003, 236764, 21212, 236764, 532, 24227, 51139, 236761, 1637, 611, 236789, 236753, 1133, 236764, 564, 740, 8214, 611, 580, 76727, 4341, 1698, 62606, 573, 178275, 3025, 236789, 236751, 6635, 1757, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 711, 2889, 1298, 531, 1586, 1698, 62606, 580, 506, 4456, 753, 564, 236789, 560, 2752, 1010, 1623, 529, 496, 5194, 1589, 236761, 28344, 611, 1385, 872, 506, 1689, 79824, 24569, 6635, 3605, 3104, 657, 4560, 1411, 118148, 3025, 236761, 854, 236761, 826, 236786, 170346, 236772, 5101, 236772, 62473, 532, 2426, 506, 1806, 4681, 16939, 993, 236881, 564, 14275, 699, 506, 3399, 3988, 236789, 236751, 3527, 8687, 600, 901, 236789, 500, 11337, 4681, 57484, 236772, 25205, 236772, 236832, 236828, 236819, 236764, 57484, 236772, 25205, 236772, 236832, 236819, 236771, 236764, 532, 57484, 236772, 25205, 236772, 236832, 236819, 236770, 573, 910, 19860, 8103, 37388, 236761, 28344, 611, 33205, 506, 23003, 236764, 21212, 236764, 532, 24227, 4889, 573, 1239, 1806, 4681, 236881, 6542, 236764, 2426, 768, 901, 735, 1027, 2803, 30119, 236772, 36954, 53032, 6950, 528, 506, 1698, 29141, 600, 1093, 1601, 607, 1023, 2651, 1813, 4342, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 47149, 236772, 25205, 236772, 236832, 236828, 236819, 827, 623, 5930, 236779, 1201, 1083, 623, 170698, 24569, 29116, 12142, 76247, 20012, 633, 50552, 827, 623, 5690, 8112, 1083, 3714, 50263, 1083, 623, 201320, 20012, 827, 623, 5101, 236779, 4720, 1083, 623, 236770, 236778, 236761, 236810, 639, 236786, 1387, 827, 623, 31700, 236779, 13126, 1083, 623, 236771, 236761, 236770, 236772, 236770, 236761, 236771, 90230, 827, 623, 10236, 1083, 623, 236800, 236771, 236812, 76247, 20012, 827, 623, 185392, 1083, 623, 236796, 2710, 106919, 148338, 236772, 1988, 13040, 169624, 23179, 623, 86211, 1083, 3714, 153558, 236779, 9707, 1083, 623, 65742, 609, 236812, 236812, 236819, 236761, 236819, 236810, 827, 623, 56905, 1083, 623, 902, 2862, 827, 623, 177129, 1083, 623, 236770, 236771, 236772, 3704, 5809, 24227, 23179, 623, 64133, 236779, 10401, 1083, 623, 14525, 3747, 573, 1494, 236772, 47340, 18567, 236764, 506, 79824, 24569, 29116, 12142, 28619, 8459, 39601, 607, 56253, 1702, 236761, 25772, 18510, 236772, 172671, 25364, 57745, 573, 20651, 236772, 6796, 3736, 532, 104795, 236772, 94636, 1813, 9286, 10498, 623, 15595, 236779, 7632, 236779, 102229, 1083, 3714, 7777, 1083, 623, 236796, 2710, 106919, 23671, 4728, 16595, 6733, 2342, 168117, 38841, 90670, 532, 30119, 528, 1494, 236772, 128257, 1813, 18567, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 47149, 236772, 25205, 236772, 236832, 236819, 236771, 827, 623, 1201, 1083, 623, 170698, 24569, 29116, 76247, 20012, 633, 50552, 827, 623, 10618, 1083, 623, 62473, 827, 623, 5690, 8112, 1083, 3714, 10236, 1083, 623, 236800, 236771, 236812, 76247, 20012, 827, 623, 50263, 1083, 623, 9521, 24534, 42100, 1255, 169624, 827, 623, 5101, 236779, 4720, 1083, 623, 236770, 236778, 236761, 236771, 639, 236786, 1387, 827, 623, 31700, 236779, 13126, 1083, 623, 236771, 236761, 236810, 236785, 236756, 236778, 236771, 236770, 236800, 236770, 236761, 236771, 90230, 23179, 623, 86211, 1083, 3714, 153558, 236779, 9707, 1083, 236743, 236812, 236828, 236819, 236761, 236819, 236810, 236764, 623, 27617, 1083, 623, 65742, 827, 623, 56905, 1083, 623, 902, 2862, 568, 236778, 236800, 6630, 22730, 623, 70343, 236779, 90190, 1083, 1847, 1263, 623, 177129, 1083, 3714, 19001, 1083, 623, 236770, 236771, 1518, 827, 623, 44384, 1083, 623, 64556, 30119, 8047, 1208, 3867, 3439, 23179, 623, 64133, 236779, 80234, 1083, 3714, 9372, 574, 694, 236779, 2451, 1083, 623, 2574, 1411, 118148, 3025, 236761, 854, 236761, 826, 236786, 18892, 236786, 47149, 236772, 25205, 236772, 236832, 236819, 236771, 236772, 9372, 574, 694, 236761, 10888, 827, 623, 236800, 236753, 236779, 4368, 236779, 2451, 1083, 623, 2574, 1411, 118148, 3025, 236761, 854, 236761, 826, 236786, 11245, 236786, 47149, 236772, 25205, 236772, 236832, 236819, 236771, 236761, 66845, 23179, 623, 23184, 1083, 623, 9521, 24534, 42100, 1255, 23671, 10916, 5402, 573, 1494, 236772, 128257, 568, 15595, 1813, 236768, 18567, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 47149, 236772, 25205, 236772, 236832, 236819, 236770, 827, 623, 1201, 1083, 623, 170698, 24569, 29116, 12142, 76247, 20012, 633, 50552, 827, 623, 10618, 1083, 623, 62473, 827, 623, 5690, 8112, 1083, 3714, 10236, 1083, 623, 236800, 236771, 236812, 76247, 20012, 827, 623, 50263, 1083, 623, 9521, 24534, 42100, 1255, 169624, 827, 623, 5101, 236779, 4720, 1083, 623, 236832, 236761, 236810, 639, 236786, 1387, 827, 623, 31700, 236779, 13126, 1083, 623, 236771, 236761, 236810, 236772, 236825, 236761, 236771, 3029, 827, 623, 63265, 1083, 623, 236778, 236812, 236810, 3951, 3558, 1123, 236743, 236770, 236819, 236771, 3951, 143989, 5370, 23179, 623, 86211, 1083, 3714, 153558, 236779, 9707, 1083, 236743, 236812, 236828, 236819, 236761, 236819, 236810, 236764, 623, 56905, 1083, 623, 902, 2862, 827, 623, 177129, 1083, 623, 236770, 236771, 236772, 3704, 6635, 1161, 24227, 23179, 623, 16518, 1083, 3714, 4685, 24534, 236779, 82033, 1083, 623, 109942, 236772, 7508, 20111, 23671, 607, 25364, 68426, 573, 2651, 1813, 18567, 827, 623, 18289, 8112, 1083, 11058, 17390, 66498, 50618, 827, 623, 2371, 236786, 82926, 236773, 236743, 236800, 236832, 236770, 236828, 50457, 23941, 14255, 623, 155896, 1083, 623, 43983, 3549, 236772, 20882, 34704, 532, 6374, 1933, 13064, 9173, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 506, 1806, 178275, 3025, 79824, 24569, 6635, 4681, 573, 822, 3399, 3988, 8351, 236787, 108, 1018, 47149, 236772, 25205, 236772, 236832, 236828, 236819, 1018, 138, 107, 236772, 5213, 50314, 66515, 189051, 106919, 148338, 236772, 1988, 13040, 169624, 138, 107, 236772, 5213, 24569, 25870, 66515, 236743, 236770, 236778, 236761, 236810, 639, 236786, 1387, 568, 11480, 236772, 31700, 3736, 236768, 138, 107, 236772, 5213, 11280, 66515, 609, 236812, 236812, 236819, 236761, 236819, 236810, 72939, 138, 107, 236772, 5213, 214721, 66515, 236743, 236770, 236771, 236772, 3704, 5809, 138, 107, 236772, 5213, 33231, 7768, 18157, 66515, 18711, 23671, 573, 168117, 38841, 8047, 138, 108, 1018, 47149, 236772, 25205, 236772, 236832, 236819, 236771, 1018, 138, 107, 236772, 5213, 50314, 66515, 148338, 42100, 1255, 169624, 568, 18999, 236772, 7508, 236768, 138, 107, 236772, 5213, 24569, 25870, 66515, 236743, 236770, 236778, 236761, 236771, 639, 236786, 1387, 138, 107, 236772, 5213, 11280, 66515, 609, 236812, 236828, 236819, 236761, 236819, 236810, 72939, 568, 70343, 17793, 236768, 138, 107, 236772, 5213, 214721, 66515, 236743, 236770, 236771, 1518, 568, 22239, 30119, 12606, 236768, 138, 107, 236772, 5213, 33231, 7768, 18157, 66515, 56900, 573, 1494, 236772, 128257, 18567, 138, 108, 1018, 47149, 236772, 25205, 236772, 236832, 236819, 236770, 1018, 138, 107, 236772, 5213, 50314, 66515, 148338, 42100, 1255, 169624, 568, 153460, 236772, 7508, 900, 25364, 68426, 236768, 138, 107, 236772, 5213, 24569, 25870, 66515, 236743, 236832, 236761, 236810, 639, 236786, 1387, 568, 7632, 236772, 11401, 236768, 138, 107, 236772, 5213, 11280, 66515, 609, 236812, 236828, 236819, 236761, 236819, 236810, 72939, 138, 107, 236772, 5213, 214721, 66515, 236743, 236770, 236771, 236772, 3704, 808, 62473, 236772, 1930, 236829, 24227, 138, 107, 236772, 5213, 33231, 7768, 18157, 66515, 7660, 9691, 6733, 138, 107, 236772, 5213, 168456, 66515, 31808, 1933, 13064, 9173, 37031, 138, 108, 1018, 211199, 66515, 138, 107, 818, 57484, 236772, 25205, 236772, 236832, 236819, 236770, 5469, 506, 5213, 9783, 1440, 236772, 6061, 1550, 1018, 573, 822, 2651, 1813, 3439, 607, 1061, 22178, 236772, 7508, 23671, 532, 6635, 236772, 9619, 24227, 236761, 5978, 1061, 2727, 3136, 563, 3718, 236764, 625, 236789, 236751, 7768, 66498, 50618, 573, 9286, 1271, 7436, 573, 496, 3399, 8351, 132187, 24488, 236761, 669, 19331, 6374, 1933, 13064, 1451, 992, 4006, 38507, 528, 7659, 9952, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 44906, 11764, 6035, 573, 1239, 4681, 236881, 138, 107, 236778, 236761, 7179, 573, 17040, 236772, 2400, 21212, 3835, 236881, 138, 107, 236800, 236761, 151326, 19743, 145434, 528, 822, 2433, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 54909, 8351, 227185, 573, 496, 3399, 3988, 49052, 236761, 28344, 611, 33205, 1698, 23003, 532, 21212, 4889, 573, 506, 178275, 3025, 79824, 24569, 2028, 699, 506, 13382, 4456, 236881, 564, 236789, 236757, 22020, 3835, 573, 1023, 861, 29528, 8351, 532, 1461, 531, 5330, 692, 974, 6635, 236772, 9619, 45650, 2351, 7715, 236761, 6542, 236764, 2426, 768, 901, 2729, 37388, 600, 8975, 2651, 1813, 48275, 753, 600, 236789, 236751, 13832, 573, 1023, 2433, 236789, 236751, 17813, 236772, 9705, 1813, 6429, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 2958, 506, 178275, 3025, 79824, 24569, 2028, 236761, 2282, 33205, 506, 3530, 1938, 611, 1202, 236764, 564, 236789, 859, 1660, 506, 4453, 1698, 5853, 573, 672, 87223, 568, 236744, 236761, 236759, 1126, 623, 47149, 236772, 236828, 236778, 236825, 236771, 4248, 28344, 611, 5091, 9128, 506, 3530, 2028, 1548, 611, 236789, 500, 7467, 528, 236881, 9920, 3847, 236764, 564, 236789, 859, 12270, 506, 8330, 23003, 236764, 21212, 4889, 236764, 532, 2426, 573, 2487, 37388, 600, 1093, 8816, 822, 2651, 1813, 3439, 236761, 1637, 611, 236789, 500, 54538, 529, 506, 4453, 5853, 236764, 692, 740, 992, 11327, 6635, 236772, 9619, 3835, 699, 178275, 3025, 236789, 236751, 13382, 23191, 3075, 236761, 106, 107, 105, 2364, 107, 236777, 14756, 822, 1601, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 4453, 1698, 5853, 31380, 236761, 28344, 611, 3927, 178275, 3025, 236789, 236751, 13382, 23191, 573, 784, 6635, 236772, 9619, 79824, 24569, 4681, 607, 37388, 10916, 5402, 573, 2651, 1813, 8047, 236881, 564, 236789, 236753, 1133, 531, 1460, 496, 9960, 529, 910, 8330, 55455, 236764, 21212, 236764, 532, 24227, 3755, 236761, 1637, 2653, 236764, 56856, 4681, 607, 19860, 8103, 653, 15887, 236772, 60366, 37388, 600, 1093, 2768, 872, 1388, 528, 1023, 3399, 8351, 236789, 236751, 1494, 236772, 26514, 3453, 236761, 3792, 786, 1281, 1144, 3835, 4691, 1239, 13138, 532, 692, 740, 3249, 2148, 6555, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 5930, 236779, 547, 1083, 623, 818, 756, 5930, 236779, 547, 236789, 7689, 1921, 577, 496, 3530, 1698, 162355, 653, 31744, 236761, 669, 1550, 756, 170698, 24569, 236789, 7412, 531, 577, 496, 2028, 1463, 4319, 1082, 496, 18997, 1698, 5853, 236764, 837, 563, 3149, 573, 11459, 51139, 529, 8330, 23003, 236764, 21212, 236764, 532, 24227, 3755, 1781, 19465, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 19381, 6517, 236761, 2282, 24383, 607, 506, 5904, 236789, 236751, 6035, 236764, 564, 1202, 3530, 1698, 62606, 531, 7162, 607, 822, 2864, 236761, 1701, 178275, 3025, 236789, 236751, 6635, 236772, 9619, 79824, 24569, 4681, 236764, 611, 740, 1586, 4453, 1698, 62606, 568, 236744, 236761, 236759, 1126, 623, 47149, 236772, 25205, 236772, 236832, 236828, 236819, 236775, 653, 3361, 236768, 580, 910, 13382, 4456, 1208, 506, 6635, 8351, 227185, 3336, 236761, 236743, 108, 30092, 611, 236787, 107, 236770, 236761, 7179, 506, 1698, 3104, 10739, 568, 236744, 236761, 236759, 1126, 2165, 2574, 1411, 118148, 3025, 236761, 854, 236761, 826, 236786, 170346, 236772, 5101, 236772, 62473, 236772, 4368, 18833, 573, 162355, 104026, 107, 236778, 236761, 2408, 9128, 768, 611, 236789, 236753, 1133, 786, 531, 1161, 496, 1607, 3927, 7545, 607, 506, 5904, 236789, 236751, 6137, 236881, 108, 818, 5904, 20976, 7087, 496, 1698, 5853, 573, 9813, 23003, 236764, 21212, 236764, 532, 24227, 51139, 236761, 1637, 611, 236789, 236753, 1133, 236764, 564, 740, 8214, 611, 580, 76727, 4341, 1698, 62606, 573, 178275, 3025, 236789, 236751, 6635, 1757, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 711, 2889, 1298, 531, 1586, 1698, 62606, 580, 506, 4456, 753, 564, 236789, 560, 2752, 1010, 1623, 529, 496, 5194, 1589, 236761, 28344, 611, 1385, 872, 506, 1689, 79824, 24569, 6635, 3605, 3104, 657, 4560, 1411, 118148, 3025, 236761, 854, 236761, 826, 236786, 170346, 236772, 5101, 236772, 62473, 532, 2426, 506, 1806, 4681, 16939, 993, 236881, 564, 14275, 699, 506, 3399, 3988, 236789, 236751, 3527, 8687, 600, 901, 236789, 500, 11337, 4681, 57484, 236772, 25205, 236772, 236832, 236828, 236819, 236764, 57484, 236772, 25205, 236772, 236832, 236819, 236771, 236764, 532, 57484, 236772, 25205, 236772, 236832, 236819, 236770, 573, 910, 19860, 8103, 37388, 236761, 28344, 611, 33205, 506, 23003, 236764, 21212, 236764, 532, 24227, 4889, 573, 1239, 1806, 4681, 236881, 6542, 236764, 2426, 768, 901, 735, 1027, 2803, 30119, 236772, 36954, 53032, 6950, 528, 506, 1698, 29141, 600, 1093, 1601, 607, 1023, 2651, 1813, 4342, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 47149, 236772, 25205, 236772, 236832, 236828, 236819, 827, 623, 5930, 236779, 1201, 1083, 623, 170698, 24569, 29116, 12142, 76247, 20012, 633, 50552, 827, 623, 5690, 8112, 1083, 3714, 50263, 1083, 623, 201320, 20012, 827, 623, 5101, 236779, 4720, 1083, 623, 236770, 236778, 236761, 236810, 639, 236786, 1387, 827, 623, 31700, 236779, 13126, 1083, 623, 236771, 236761, 236770, 236772, 236770, 236761, 236771, 90230, 827, 623, 10236, 1083, 623, 236800, 236771, 236812, 76247, 20012, 827, 623, 185392, 1083, 623, 236796, 2710, 106919, 148338, 236772, 1988, 13040, 169624, 23179, 623, 86211, 1083, 3714, 153558, 236779, 9707, 1083, 623, 65742, 609, 236812, 236812, 236819, 236761, 236819, 236810, 827, 623, 56905, 1083, 623, 902, 2862, 827, 623, 177129, 1083, 623, 236770, 236771, 236772, 3704, 5809, 24227, 23179, 623, 64133, 236779, 10401, 1083, 623, 14525, 3747, 573, 1494, 236772, 47340, 18567, 236764, 506, 79824, 24569, 29116, 12142, 28619, 8459, 39601, 607, 56253, 1702, 236761, 25772, 18510, 236772, 172671, 25364, 57745, 573, 20651, 236772, 6796, 3736, 532, 104795, 236772, 94636, 1813, 9286, 10498, 623, 15595, 236779, 7632, 236779, 102229, 1083, 3714, 7777, 1083, 623, 236796, 2710, 106919, 23671, 4728, 16595, 6733, 2342, 168117, 38841, 90670, 532, 30119, 528, 1494, 236772, 128257, 1813, 18567, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 47149, 236772, 25205, 236772, 236832, 236819, 236771, 827, 623, 1201, 1083, 623, 170698, 24569, 29116, 76247, 20012, 633, 50552, 827, 623, 10618, 1083, 623, 62473, 827, 623, 5690, 8112, 1083, 3714, 10236, 1083, 623, 236800, 236771, 236812, 76247, 20012, 827, 623, 50263, 1083, 623, 9521, 24534, 42100, 1255, 169624, 827, 623, 5101, 236779, 4720, 1083, 623, 236770, 236778, 236761, 236771, 639, 236786, 1387, 827, 623, 31700, 236779, 13126, 1083, 623, 236771, 236761, 236810, 236785, 236756, 236778, 236771, 236770, 236800, 236770, 236761, 236771, 90230, 23179, 623, 86211, 1083, 3714, 153558, 236779, 9707, 1083, 236743, 236812, 236828, 236819, 236761, 236819, 236810, 236764, 623, 27617, 1083, 623, 65742, 827, 623, 56905, 1083, 623, 902, 2862, 568, 236778, 236800, 6630, 22730, 623, 70343, 236779, 90190, 1083, 1847, 1263, 623, 177129, 1083, 3714, 19001, 1083, 623, 236770, 236771, 1518, 827, 623, 44384, 1083, 623, 64556, 30119, 8047, 1208, 3867, 3439, 23179, 623, 64133, 236779, 80234, 1083, 3714, 9372, 574, 694, 236779, 2451, 1083, 623, 2574, 1411, 118148, 3025, 236761, 854, 236761, 826, 236786, 18892, 236786, 47149, 236772, 25205, 236772, 236832, 236819, 236771, 236772, 9372, 574, 694, 236761, 10888, 827, 623, 236800, 236753, 236779, 4368, 236779, 2451, 1083, 623, 2574, 1411, 118148, 3025, 236761, 854, 236761, 826, 236786, 11245, 236786, 47149, 236772, 25205, 236772, 236832, 236819, 236771, 236761, 66845, 23179, 623, 23184, 1083, 623, 9521, 24534, 42100, 1255, 23671, 10916, 5402, 573, 1494, 236772, 128257, 568, 15595, 1813, 236768, 18567, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 47149, 236772, 25205, 236772, 236832, 236819, 236770, 827, 623, 1201, 1083, 623, 170698, 24569, 29116, 12142, 76247, 20012, 633, 50552, 827, 623, 10618, 1083, 623, 62473, 827, 623, 5690, 8112, 1083, 3714, 10236, 1083, 623, 236800, 236771, 236812, 76247, 20012, 827, 623, 50263, 1083, 623, 9521, 24534, 42100, 1255, 169624, 827, 623, 5101, 236779, 4720, 1083, 623, 236832, 236761, 236810, 639, 236786, 1387, 827, 623, 31700, 236779, 13126, 1083, 623, 236771, 236761, 236810, 236772, 236825, 236761, 236771, 3029, 827, 623, 63265, 1083, 623, 236778, 236812, 236810, 3951, 3558, 1123, 236743, 236770, 236819, 236771, 3951, 143989, 5370, 23179, 623, 86211, 1083, 3714, 153558, 236779, 9707, 1083, 236743, 236812, 236828, 236819, 236761, 236819, 236810, 236764, 623, 56905, 1083, 623, 902, 2862, 827, 623, 177129, 1083, 623, 236770, 236771, 236772, 3704, 6635, 1161, 24227, 23179, 623, 16518, 1083, 3714, 4685, 24534, 236779, 82033, 1083, 623, 109942, 236772, 7508, 20111, 23671, 607, 25364, 68426, 573, 2651, 1813, 18567, 827, 623, 18289, 8112, 1083, 11058, 17390, 66498, 50618, 827, 623, 2371, 236786, 82926, 236773, 236743, 236800, 236832, 236770, 236828, 50457, 23941, 14255, 623, 155896, 1083, 623, 43983, 3549, 236772, 20882, 34704, 532, 6374, 1933, 13064, 9173, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 506, 1806, 178275, 3025, 79824, 24569, 6635, 4681, 573, 822, 3399, 3988, 8351, 236787, 108, 1018, 47149, 236772, 25205, 236772, 236832, 236828, 236819, 1018, 138, 107, 236772, 5213, 50314, 66515, 189051, 106919, 148338, 236772, 1988, 13040, 169624, 138, 107, 236772, 5213, 24569, 25870, 66515, 236743, 236770, 236778, 236761, 236810, 639, 236786, 1387, 568, 11480, 236772, 31700, 3736, 236768, 138, 107, 236772, 5213, 11280, 66515, 609, 236812, 236812, 236819, 236761, 236819, 236810, 72939, 138, 107, 236772, 5213, 214721, 66515, 236743, 236770, 236771, 236772, 3704, 5809, 138, 107, 236772, 5213, 33231, 7768, 18157, 66515, 18711, 23671, 573, 168117, 38841, 8047, 138, 108, 1018, 47149, 236772, 25205, 236772, 236832, 236819, 236771, 1018, 138, 107, 236772, 5213, 50314, 66515, 148338, 42100, 1255, 169624, 568, 18999, 236772, 7508, 236768, 138, 107, 236772, 5213, 24569, 25870, 66515, 236743, 236770, 236778, 236761, 236771, 639, 236786, 1387, 138, 107, 236772, 5213, 11280, 66515, 609, 236812, 236828, 236819, 236761, 236819, 236810, 72939, 568, 70343, 17793, 236768, 138, 107, 236772, 5213, 214721, 66515, 236743, 236770, 236771, 1518, 568, 22239, 30119, 12606, 236768, 138, 107, 236772, 5213, 33231, 7768, 18157, 66515, 56900, 573, 1494, 236772, 128257, 18567, 138, 108, 1018, 47149, 236772, 25205, 236772, 236832, 236819, 236770, 1018, 138, 107, 236772, 5213, 50314, 66515, 148338, 42100, 1255, 169624, 568, 153460, 236772, 7508, 900, 25364, 68426, 236768, 138, 107, 236772, 5213, 24569, 25870, 66515, 236743, 236832, 236761, 236810, 639, 236786, 1387, 568, 7632, 236772, 11401, 236768, 138, 107, 236772, 5213, 11280, 66515, 609, 236812, 236828, 236819, 236761, 236819, 236810, 72939, 138, 107, 236772, 5213, 214721, 66515, 236743, 236770, 236771, 236772, 3704, 808, 62473, 236772, 1930, 236829, 24227, 138, 107, 236772, 5213, 33231, 7768, 18157, 66515, 7660, 9691, 6733, 138, 107, 236772, 5213, 168456, 66515, 31808, 1933, 13064, 9173, 37031, 138, 108, 1018, 211199, 66515, 138, 107, 818, 57484, 236772, 25205, 236772, 236832, 236819, 236770, 5469, 506, 5213, 9783, 1440, 236772, 6061, 1550, 1018, 573, 822, 2651, 1813, 3439, 607, 1061, 22178, 236772, 7508, 23671, 532, 6635, 236772, 9619, 24227, 236761, 5978, 1061, 2727, 3136, 563, 3718, 236764, 625, 236789, 236751, 7768, 66498, 50618, 573, 9286, 1271, 7436, 573, 496, 3399, 8351, 132187, 24488, 236761, 669, 19331, 6374, 1933, 13064, 1451, 992, 4006, 38507, 528, 7659, 9952, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 44906, 11764, 6035, 573, 1239, 4681, 236881, 138, 107, 236778, 236761, 7179, 573, 17040, 236772, 2400, 21212, 3835, 236881, 138, 107, 236800, 236761, 151326, 19743, 145434, 528, 822, 2433, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 563, 506, 11519, 3408, 3546, 528, 870, 236800, 236764, 236743, 236812, 236764, 236743, 236810, 236764, 236743, 236770, 236842, 532, 1217, 1440, 1677, 625, 1769, 573, 2214, 531, 4301, 236743, 236770, 236771, 236771, 2214, 1518, 236881, 106, 107, 105, 4368, 107, 818, 11519, 3408, 3546, 528, 506, 3499, 2165, 236840, 236800, 236764, 236743, 236812, 236764, 236743, 236810, 236764, 236743, 236770, 155192, 563, 5213, 236778, 1018, 1547, 236743, 236810, 563, 5314, 1082, 1061, 23789, 568, 236812, 532, 236743, 236770, 769, 138, 108, 2542, 506, 1855, 2934, 236764, 2214, 4716, 5213, 236770, 236771, 236771, 1518, 1018, 531, 4301, 236743, 236770, 236771, 236771, 2214, 1518, 236761, 562, 623, 3223, 1051, 236775, 563, 506, 5149, 2214, 33036, 528, 886, 1051, 236764, 834, 506, 990, 3149, 563, 59340, 4745, 531, 506, 5149, 528, 2214, 1518, 236761, 138, 108, 3771, 6436, 964, 4354, 531, 3890, 1239, 4137, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 563, 506, 11519, 3408, 3546, 528, 870, 236800, 236764, 236743, 236812, 236764, 236743, 236810, 236764, 236743, 236770, 236842, 532, 1217, 1440, 1677, 625, 1769, 573, 2214, 531, 4301, 236743, 236770, 236771, 236771, 2214, 1518, 236881, 106, 107, 105, 4368, 107, 818, 11519, 3408, 3546, 528, 506, 3499, 2165, 236840, 236800, 236764, 236743, 236812, 236764, 236743, 236810, 236764, 236743, 236770, 155192, 563, 5213, 236778, 1018, 1547, 236743, 236810, 563, 5314, 1082, 1061, 23789, 568, 236812, 532, 236743, 236770, 769, 138, 108, 2542, 506, 1855, 2934, 236764, 2214, 4716, 5213, 236770, 236771, 236771, 1518, 1018, 531, 4301, 236743, 236770, 236771, 236771, 2214, 1518, 236761, 562, 623, 3223, 1051, 236775, 563, 506, 5149, 2214, 33036, 528, 886, 1051, 236764, 834, 506, 990, 3149, 563, 59340, 4745, 531, 506, 5149, 528, 2214, 1518, 236761, 138, 108, 3771, 6436, 964, 4354, 531, 3890, 1239, 4137, 236761, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 2777, 4009, 20183, 573, 496, 90184, 236772, 5140, 79986, 9180, 2760, 623, 4967, 10324, 2665, 200825, 236775, 531, 2426, 910, 3489, 6219, 236761, 669, 4682, 236881, 564, 1186, 1281, 910, 1960, 1463, 532, 4563, 236764, 711, 910, 4453, 4456, 8610, 236761, 9187, 684, 1699, 506, 2777, 236779, 17943, 5904, 607, 623, 56282, 22914, 553, 9056, 32365, 236761, 854, 236775, 618, 506, 8610, 236761, 1637, 600, 20269, 236764, 2056, 623, 56282, 527, 509, 553, 9056, 32365, 236761, 2108, 236775, 2148, 236764, 1299, 623, 73603, 236781, 9926, 2665, 236761, 854, 236775, 1271, 64283, 8610, 4146, 1171, 236761, 9920, 611, 974, 506, 2777, 9851, 236764, 5957, 1091, 531, 1407, 1186, 20183, 600, 4928, 623, 86909, 2723, 27249, 236775, 653, 623, 76975, 236772, 18865, 1944, 1960, 1781, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 19645, 14255, 623, 29995, 1083, 3714, 13205, 236779, 2427, 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, 19645, 1083, 623, 56282, 22914, 553, 9056, 32365, 236761, 854, 827, 623, 22504, 236779, 17943, 1083, 78493, 19099, 1083, 623, 33333, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 56282, 527, 509, 553, 9056, 32365, 827, 623, 13330, 236779, 6011, 1083, 623, 68734, 3104, 529, 2774, 10324, 2665, 200825, 753, 142983, 79986, 27249, 528, 506, 90184, 2338, 236743, 236778, 236771, 236770, 236810, 23179, 3714, 19099, 1083, 623, 42809, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 56282, 527, 509, 553, 9056, 32365, 827, 623, 13330, 236779, 6011, 1083, 623, 44131, 236781, 236772, 5140, 79986, 9180, 12284, 6672, 19292, 236761, 19653, 3701, 618, 997, 86909, 2723, 236780, 109846, 532, 997, 24497, 17844, 18084, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 2777, 4009, 20183, 573, 2774, 10324, 2665, 200825, 600, 4241, 822, 13138, 236787, 108, 1018, 33333, 1018, 138, 107, 245958, 870, 21254, 236761, 854, 236786, 56282, 527, 509, 553, 9056, 32365, 5457, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 56282, 527, 509, 553, 9056, 32365, 236768, 138, 107, 245305, 165996, 68734, 3104, 529, 2774, 10324, 2665, 200825, 753, 142983, 79986, 27249, 528, 506, 90184, 2338, 236743, 236778, 236771, 236770, 236810, 147698, 138, 108, 1018, 42809, 1018, 138, 107, 245958, 870, 29872, 236761, 854, 236786, 56282, 527, 509, 553, 9056, 32365, 5457, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 56282, 527, 509, 553, 9056, 32365, 236768, 138, 107, 245305, 165996, 44131, 236781, 236772, 5140, 79986, 9180, 12284, 6672, 19292, 236761, 19653, 3701, 618, 997, 86909, 2723, 236780, 109846, 532, 997, 24497, 17844, 18084, 147698, 138, 108, 22186, 20183, 25010, 4928, 79986, 27249, 236764, 532, 506, 10365, 8781, 5132, 118252, 4596, 531, 1944, 1960, 2630, 236761, 2301, 1202, 531, 2426, 4767, 26104, 2338, 506, 1171, 886, 5934, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 2777, 4009, 20183, 573, 496, 90184, 236772, 5140, 79986, 9180, 2760, 623, 4967, 10324, 2665, 200825, 236775, 531, 2426, 910, 3489, 6219, 236761, 669, 4682, 236881, 564, 1186, 1281, 910, 1960, 1463, 532, 4563, 236764, 711, 910, 4453, 4456, 8610, 236761, 9187, 684, 1699, 506, 2777, 236779, 17943, 5904, 607, 623, 56282, 22914, 553, 9056, 32365, 236761, 854, 236775, 618, 506, 8610, 236761, 1637, 600, 20269, 236764, 2056, 623, 56282, 527, 509, 553, 9056, 32365, 236761, 2108, 236775, 2148, 236764, 1299, 623, 73603, 236781, 9926, 2665, 236761, 854, 236775, 1271, 64283, 8610, 4146, 1171, 236761, 9920, 611, 974, 506, 2777, 9851, 236764, 5957, 1091, 531, 1407, 1186, 20183, 600, 4928, 623, 86909, 2723, 27249, 236775, 653, 623, 76975, 236772, 18865, 1944, 1960, 1781, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 19645, 14255, 623, 29995, 1083, 3714, 13205, 236779, 2427, 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, 19645, 1083, 623, 56282, 22914, 553, 9056, 32365, 236761, 854, 827, 623, 22504, 236779, 17943, 1083, 78493, 19099, 1083, 623, 33333, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 56282, 527, 509, 553, 9056, 32365, 827, 623, 13330, 236779, 6011, 1083, 623, 68734, 3104, 529, 2774, 10324, 2665, 200825, 753, 142983, 79986, 27249, 528, 506, 90184, 2338, 236743, 236778, 236771, 236770, 236810, 23179, 3714, 19099, 1083, 623, 42809, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 56282, 527, 509, 553, 9056, 32365, 827, 623, 13330, 236779, 6011, 1083, 623, 44131, 236781, 236772, 5140, 79986, 9180, 12284, 6672, 19292, 236761, 19653, 3701, 618, 997, 86909, 2723, 236780, 109846, 532, 997, 24497, 17844, 18084, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 2777, 4009, 20183, 573, 2774, 10324, 2665, 200825, 600, 4241, 822, 13138, 236787, 108, 1018, 33333, 1018, 138, 107, 245958, 870, 21254, 236761, 854, 236786, 56282, 527, 509, 553, 9056, 32365, 5457, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 56282, 527, 509, 553, 9056, 32365, 236768, 138, 107, 245305, 165996, 68734, 3104, 529, 2774, 10324, 2665, 200825, 753, 142983, 79986, 27249, 528, 506, 90184, 2338, 236743, 236778, 236771, 236770, 236810, 147698, 138, 108, 1018, 42809, 1018, 138, 107, 245958, 870, 29872, 236761, 854, 236786, 56282, 527, 509, 553, 9056, 32365, 5457, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 56282, 527, 509, 553, 9056, 32365, 236768, 138, 107, 245305, 165996, 44131, 236781, 236772, 5140, 79986, 9180, 12284, 6672, 19292, 236761, 19653, 3701, 618, 997, 86909, 2723, 236780, 109846, 532, 997, 24497, 17844, 18084, 147698, 138, 108, 22186, 20183, 25010, 4928, 79986, 27249, 236764, 532, 506, 10365, 8781, 5132, 118252, 4596, 531, 1944, 1960, 2630, 236761, 2301, 1202, 531, 2426, 4767, 26104, 2338, 506, 1171, 886, 5934, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 236789, 236757, 224069, 236764, 496, 60206, 9800, 528, 234790, 236761, 564, 236789, 236757, 201585, 1041, 7946, 531, 181238, 532, 1202, 1156, 2432, 15593, 236787, 1171, 236764, 506, 2634, 3325, 14415, 573, 181238, 236764, 53853, 568, 236777, 236789, 236757, 22566, 1003, 506, 9766, 532, 26318, 1646, 2311, 180664, 1652, 779, 532, 1855, 236764, 506, 1873, 23058, 531, 76612, 8770, 3136, 834, 564, 740, 7352, 1041, 609, 236810, 236771, 236771, 7715, 236761, 7323, 1161, 506, 2634, 236779, 15276, 236779, 52511, 236751, 5904, 573, 623, 9585, 169945, 236764, 53853, 236775, 532, 1299, 506, 6524, 236779, 39588, 236779, 14473, 5904, 607, 3225, 236779, 27617, 1076, 531, 623, 38556, 236775, 532, 3328, 236779, 27617, 1076, 531, 623, 102892, 3056, 4210, 600, 236764, 9279, 1217, 1623, 609, 236810, 236771, 236771, 47874, 531, 76612, 1699, 600, 3136, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 9585, 169945, 827, 623, 14801, 1083, 623, 27505, 28232, 827, 623, 52511, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 21101, 236747, 1083, 236743, 236812, 236778, 236764, 623, 7777, 1083, 623, 11947, 23179, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 21101, 236747, 1083, 236743, 236812, 236832, 236764, 623, 7777, 1083, 623, 11947, 23179, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 21101, 236747, 1083, 236743, 236810, 236770, 236764, 623, 7777, 1083, 623, 166920, 23179, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 21101, 236747, 1083, 236743, 236810, 236825, 236764, 623, 7777, 1083, 623, 166920, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 5521, 1083, 623, 38556, 827, 623, 5654, 1083, 623, 102892, 827, 623, 4720, 1083, 236743, 236770, 236771, 236761, 236771, 236810, 236764, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 573, 822, 7946, 531, 181238, 236787, 108, 1018, 17995, 19779, 74544, 568, 9585, 169945, 236764, 53853, 1473, 1018, 138, 107, 236772, 5213, 17076, 236789, 236751, 14415, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 1473, 1018, 138, 107, 138, 236772, 236743, 236828, 236787, 236771, 236771, 8151, 236964, 236819, 236787, 236771, 236771, 8151, 236787, 95915, 236777, 236743, 236812, 236778, 6791, 11947, 1373, 138, 107, 138, 236772, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 236964, 236770, 236770, 236787, 236771, 236771, 8151, 236787, 95915, 236777, 236743, 236810, 236770, 236964, 236810, 236825, 6791, 166920, 1373, 138, 107, 138, 236829, 10282, 236787, 5661, 3325, 563, 6816, 1535, 1913, 5597, 3885, 236764, 607, 21037, 4535, 3209, 528, 506, 1719, 236761, 51810, 532, 26318, 1374, 4595, 9650, 573, 822, 3517, 9603, 108, 1018, 55123, 25870, 833, 29125, 67292, 53121, 138, 107, 236772, 5213, 38556, 531, 76612, 3136, 568, 527, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 1473, 1018, 236743, 236770, 23058, 578, 236743, 236770, 236771, 236761, 236771, 236810, 76612, 138, 107, 236772, 5213, 11069, 609, 236810, 236771, 236771, 7715, 47874, 531, 53121, 5213, 236810, 236764, 236771, 236778, 236810, 76612, 1018, 568, 236810, 236771, 236771, 15666, 236743, 236770, 236771, 236761, 236771, 236810, 578, 236743, 236810, 236764, 236771, 236778, 236810, 236768, 138, 108, 39316, 33036, 236764, 532, 4059, 506, 9766, 532, 26318, 529, 181238, 236888, 236743, 242560, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 236789, 236757, 224069, 236764, 496, 60206, 9800, 528, 234790, 236761, 564, 236789, 236757, 201585, 1041, 7946, 531, 181238, 532, 1202, 1156, 2432, 15593, 236787, 1171, 236764, 506, 2634, 3325, 14415, 573, 181238, 236764, 53853, 568, 236777, 236789, 236757, 22566, 1003, 506, 9766, 532, 26318, 1646, 2311, 180664, 1652, 779, 532, 1855, 236764, 506, 1873, 23058, 531, 76612, 8770, 3136, 834, 564, 740, 7352, 1041, 609, 236810, 236771, 236771, 7715, 236761, 7323, 1161, 506, 2634, 236779, 15276, 236779, 52511, 236751, 5904, 573, 623, 9585, 169945, 236764, 53853, 236775, 532, 1299, 506, 6524, 236779, 39588, 236779, 14473, 5904, 607, 3225, 236779, 27617, 1076, 531, 623, 38556, 236775, 532, 3328, 236779, 27617, 1076, 531, 623, 102892, 3056, 4210, 600, 236764, 9279, 1217, 1623, 609, 236810, 236771, 236771, 47874, 531, 76612, 1699, 600, 3136, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 9585, 169945, 827, 623, 14801, 1083, 623, 27505, 28232, 827, 623, 52511, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 21101, 236747, 1083, 236743, 236812, 236778, 236764, 623, 7777, 1083, 623, 11947, 23179, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 21101, 236747, 1083, 236743, 236812, 236832, 236764, 623, 7777, 1083, 623, 11947, 23179, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 21101, 236747, 1083, 236743, 236810, 236770, 236764, 623, 7777, 1083, 623, 166920, 23179, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 21101, 236747, 1083, 236743, 236810, 236825, 236764, 623, 7777, 1083, 623, 166920, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 5521, 1083, 623, 38556, 827, 623, 5654, 1083, 623, 102892, 827, 623, 4720, 1083, 236743, 236770, 236771, 236761, 236771, 236810, 236764, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 573, 822, 7946, 531, 181238, 236787, 108, 1018, 17995, 19779, 74544, 568, 9585, 169945, 236764, 53853, 1473, 1018, 138, 107, 236772, 5213, 17076, 236789, 236751, 14415, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 1473, 1018, 138, 107, 138, 236772, 236743, 236828, 236787, 236771, 236771, 8151, 236964, 236819, 236787, 236771, 236771, 8151, 236787, 95915, 236777, 236743, 236812, 236778, 6791, 11947, 1373, 138, 107, 138, 236772, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 236964, 236770, 236770, 236787, 236771, 236771, 8151, 236787, 95915, 236777, 236743, 236810, 236770, 236964, 236810, 236825, 6791, 166920, 1373, 138, 107, 138, 236829, 10282, 236787, 5661, 3325, 563, 6816, 1535, 1913, 5597, 3885, 236764, 607, 21037, 4535, 3209, 528, 506, 1719, 236761, 51810, 532, 26318, 1374, 4595, 9650, 573, 822, 3517, 9603, 108, 1018, 55123, 25870, 833, 29125, 67292, 53121, 138, 107, 236772, 5213, 38556, 531, 76612, 3136, 568, 527, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 1473, 1018, 236743, 236770, 23058, 578, 236743, 236770, 236771, 236761, 236771, 236810, 76612, 138, 107, 236772, 5213, 11069, 609, 236810, 236771, 236771, 7715, 47874, 531, 53121, 5213, 236810, 236764, 236771, 236778, 236810, 76612, 1018, 568, 236810, 236771, 236771, 15666, 236743, 236770, 236771, 236761, 236771, 236810, 578, 236743, 236810, 236764, 236771, 236778, 236810, 236768, 138, 108, 39316, 33036, 236764, 532, 4059, 506, 9766, 532, 26318, 529, 181238, 236888, 236743, 242560, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236764, 23348, 236888, 564, 236789, 236757, 125828, 236764, 822, 9171, 699, 1679, 506, 7363, 236761, 564, 236789, 236757, 6995, 496, 2268, 58737, 9226, 22658, 573, 1041, 4690, 2148, 9735, 236764, 532, 564, 1202, 822, 1601, 607, 1156, 2432, 236761, 5315, 236764, 1451, 611, 3927, 573, 41850, 528, 225294, 4556, 236764, 31566, 600, 735, 58737, 30427, 653, 16403, 3668, 4083, 19365, 236881, 564, 1461, 531, 1460, 768, 1027, 659, 14942, 573, 775, 531, 3517, 618, 912, 529, 1023, 2460, 236761, 9920, 611, 1586, 496, 14871, 236764, 564, 236789, 859, 1202, 506, 4087, 4889, 573, 623, 86378, 36180, 236775, 684, 187002, 44104, 8779, 9055, 531, 1138, 531, 1023, 44262, 237028, 3307, 4389, 5877, 786, 506, 4087, 5853, 623, 236771, 236825, 17287, 236812, 236802, 236771, 178756, 4815, 4228, 236755, 236778, 236832, 161184, 22744, 236771, 236778, 2098, 840, 564, 236789, 236757, 711, 2889, 768, 625, 236789, 236751, 1447, 236761, 7323, 1161, 600, 5853, 531, 974, 506, 4087, 8283, 236761, 1637, 625, 4038, 236789, 236745, 981, 236764, 1164, 1531, 786, 1281, 236764, 532, 564, 236789, 859, 3972, 236772, 4256, 625, 573, 611, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 82407, 236751, 1083, 78493, 1201, 1083, 623, 149136, 4085, 11109, 529, 4585, 827, 623, 7720, 1083, 623, 236778, 236810, 236771, 236771, 15766, 17463, 236764, 15766, 4085, 236764, 31566, 236743, 236771, 236832, 236800, 236771, 236810, 827, 623, 17178, 1083, 623, 236812, 236761, 236778, 7635, 827, 623, 716, 3684, 1258, 1083, 11058, 86436, 3668, 4585, 17468, 827, 623, 143068, 508, 28917, 60024, 14255, 623, 24392, 1083, 623, 198521, 236772, 18318, 236743, 236770, 236771, 1936, 236772, 236810, 10192, 827, 623, 11607, 1083, 623, 3906, 236940, 125662, 13319, 82407, 236761, 2187, 23179, 3714, 1201, 1083, 623, 4199, 3773, 4085, 16403, 3668, 11109, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 11109, 48255, 236764, 1799, 3773, 236764, 13476, 236743, 236770, 236771, 236771, 236778, 236828, 827, 623, 17178, 1083, 623, 236770, 236828, 236761, 236832, 7635, 827, 623, 716, 3684, 1258, 1083, 11058, 143068, 508, 24817, 10358, 827, 623, 190457, 32462, 109524, 14255, 623, 24392, 1083, 623, 32035, 236772, 10505, 236743, 236819, 1936, 236772, 236832, 10192, 827, 623, 11607, 1083, 623, 82407, 236940, 61846, 9197, 525, 1052, 20959, 236761, 2187, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 65000, 1083, 78493, 547, 1083, 623, 236771, 236825, 17287, 236812, 236802, 236771, 178756, 4815, 4228, 236755, 236778, 236832, 161184, 22744, 236771, 236778, 827, 623, 1201, 1083, 623, 86378, 36180, 827, 623, 96078, 1083, 78493, 1201, 1083, 623, 18235, 3320, 44104, 8779, 9055, 25938, 1604, 623, 29889, 1083, 3714, 1201, 1083, 623, 18235, 3320, 44104, 8779, 9055, 827, 623, 18381, 236779, 1896, 1083, 623, 236770, 236819, 236819, 236832, 236772, 236771, 236770, 236772, 236771, 236770, 23179, 623, 19001, 236779, 1356, 1083, 236743, 236778, 236832, 236771, 236771, 236771, 236771, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 822, 58737, 9226, 22658, 236787, 108, 1018, 165216, 11109, 568, 236812, 236761, 236778, 7635, 1473, 1018, 138, 107, 244343, 5213, 149136, 4085, 11109, 529, 4585, 1018, 138, 107, 236829, 9604, 149681, 236743, 236778, 236810, 236771, 236771, 15766, 17463, 236764, 15766, 4085, 236764, 31566, 236743, 236771, 236832, 236800, 236771, 236810, 138, 107, 236829, 1683, 3684, 1258, 149681, 58737, 28917, 60024, 236764, 16403, 3668, 4585, 17468, 138, 107, 236829, 35835, 149681, 119428, 236772, 18318, 236743, 236770, 236771, 1936, 236964, 236810, 10192, 138, 107, 236829, 11431, 149681, 8283, 236940, 125662, 13319, 82407, 236761, 2187, 138, 108, 1018, 11620, 20303, 568, 129647, 1473, 1018, 138, 107, 243336, 5213, 236775, 86378, 36180, 236775, 1018, 684, 187002, 44104, 8779, 9055, 138, 107, 236829, 52986, 149681, 808, 18235, 3320, 44104, 8779, 9055, 236829, 568, 236770, 236819, 236819, 236832, 236768, 138, 107, 236829, 21160, 149681, 236743, 236812, 4310, 236743, 236800, 236771, 9093, 138, 107, 236829, 11620, 5853, 149681, 236743, 236771, 236825, 17287, 236812, 236802, 236771, 178756, 4815, 4228, 236755, 236778, 236832, 161184, 22744, 236771, 236778, 568, 4730, 236768, 138, 108, 22186, 506, 14871, 532, 4087, 659, 5508, 531, 3204, 528, 822, 2460, 236888, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 4658, 1663, 236761, 236743, 245668, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23348, 236888, 564, 236789, 236757, 125828, 236764, 822, 9171, 699, 1679, 506, 7363, 236761, 564, 236789, 236757, 6995, 496, 2268, 58737, 9226, 22658, 573, 1041, 4690, 2148, 9735, 236764, 532, 564, 1202, 822, 1601, 607, 1156, 2432, 236761, 5315, 236764, 1451, 611, 3927, 573, 41850, 528, 225294, 4556, 236764, 31566, 600, 735, 58737, 30427, 653, 16403, 3668, 4083, 19365, 236881, 564, 1461, 531, 1460, 768, 1027, 659, 14942, 573, 775, 531, 3517, 618, 912, 529, 1023, 2460, 236761, 9920, 611, 1586, 496, 14871, 236764, 564, 236789, 859, 1202, 506, 4087, 4889, 573, 623, 86378, 36180, 236775, 684, 187002, 44104, 8779, 9055, 531, 1138, 531, 1023, 44262, 237028, 3307, 4389, 5877, 786, 506, 4087, 5853, 623, 236771, 236825, 17287, 236812, 236802, 236771, 178756, 4815, 4228, 236755, 236778, 236832, 161184, 22744, 236771, 236778, 2098, 840, 564, 236789, 236757, 711, 2889, 768, 625, 236789, 236751, 1447, 236761, 7323, 1161, 600, 5853, 531, 974, 506, 4087, 8283, 236761, 1637, 625, 4038, 236789, 236745, 981, 236764, 1164, 1531, 786, 1281, 236764, 532, 564, 236789, 859, 3972, 236772, 4256, 625, 573, 611, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 82407, 236751, 1083, 78493, 1201, 1083, 623, 149136, 4085, 11109, 529, 4585, 827, 623, 7720, 1083, 623, 236778, 236810, 236771, 236771, 15766, 17463, 236764, 15766, 4085, 236764, 31566, 236743, 236771, 236832, 236800, 236771, 236810, 827, 623, 17178, 1083, 623, 236812, 236761, 236778, 7635, 827, 623, 716, 3684, 1258, 1083, 11058, 86436, 3668, 4585, 17468, 827, 623, 143068, 508, 28917, 60024, 14255, 623, 24392, 1083, 623, 198521, 236772, 18318, 236743, 236770, 236771, 1936, 236772, 236810, 10192, 827, 623, 11607, 1083, 623, 3906, 236940, 125662, 13319, 82407, 236761, 2187, 23179, 3714, 1201, 1083, 623, 4199, 3773, 4085, 16403, 3668, 11109, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 11109, 48255, 236764, 1799, 3773, 236764, 13476, 236743, 236770, 236771, 236771, 236778, 236828, 827, 623, 17178, 1083, 623, 236770, 236828, 236761, 236832, 7635, 827, 623, 716, 3684, 1258, 1083, 11058, 143068, 508, 24817, 10358, 827, 623, 190457, 32462, 109524, 14255, 623, 24392, 1083, 623, 32035, 236772, 10505, 236743, 236819, 1936, 236772, 236832, 10192, 827, 623, 11607, 1083, 623, 82407, 236940, 61846, 9197, 525, 1052, 20959, 236761, 2187, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 65000, 1083, 78493, 547, 1083, 623, 236771, 236825, 17287, 236812, 236802, 236771, 178756, 4815, 4228, 236755, 236778, 236832, 161184, 22744, 236771, 236778, 827, 623, 1201, 1083, 623, 86378, 36180, 827, 623, 96078, 1083, 78493, 1201, 1083, 623, 18235, 3320, 44104, 8779, 9055, 25938, 1604, 623, 29889, 1083, 3714, 1201, 1083, 623, 18235, 3320, 44104, 8779, 9055, 827, 623, 18381, 236779, 1896, 1083, 623, 236770, 236819, 236819, 236832, 236772, 236771, 236770, 236772, 236771, 236770, 23179, 623, 19001, 236779, 1356, 1083, 236743, 236778, 236832, 236771, 236771, 236771, 236771, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 822, 58737, 9226, 22658, 236787, 108, 1018, 165216, 11109, 568, 236812, 236761, 236778, 7635, 1473, 1018, 138, 107, 244343, 5213, 149136, 4085, 11109, 529, 4585, 1018, 138, 107, 236829, 9604, 149681, 236743, 236778, 236810, 236771, 236771, 15766, 17463, 236764, 15766, 4085, 236764, 31566, 236743, 236771, 236832, 236800, 236771, 236810, 138, 107, 236829, 1683, 3684, 1258, 149681, 58737, 28917, 60024, 236764, 16403, 3668, 4585, 17468, 138, 107, 236829, 35835, 149681, 119428, 236772, 18318, 236743, 236770, 236771, 1936, 236964, 236810, 10192, 138, 107, 236829, 11431, 149681, 8283, 236940, 125662, 13319, 82407, 236761, 2187, 138, 108, 1018, 11620, 20303, 568, 129647, 1473, 1018, 138, 107, 243336, 5213, 236775, 86378, 36180, 236775, 1018, 684, 187002, 44104, 8779, 9055, 138, 107, 236829, 52986, 149681, 808, 18235, 3320, 44104, 8779, 9055, 236829, 568, 236770, 236819, 236819, 236832, 236768, 138, 107, 236829, 21160, 149681, 236743, 236812, 4310, 236743, 236800, 236771, 9093, 138, 107, 236829, 11620, 5853, 149681, 236743, 236771, 236825, 17287, 236812, 236802, 236771, 178756, 4815, 4228, 236755, 236778, 236832, 161184, 22744, 236771, 236778, 568, 4730, 236768, 138, 108, 22186, 506, 14871, 532, 4087, 659, 5508, 531, 3204, 528, 822, 2460, 236888, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 4658, 1663, 236761, 236743, 245668, 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, 47545, 236764, 496, 10002, 7616, 528, 16175, 19212, 236764, 8005, 236761, 564, 1202, 1601, 8159, 506, 20480, 10294, 34508, 531, 18840, 3998, 8827, 9935, 573, 3435, 861, 4762, 11024, 236761, 3199, 611, 1161, 506, 808, 4114, 236779, 70878, 236779, 78944, 236829, 5904, 607, 1041, 1873, 15375, 568, 236812, 236812, 236761, 236800, 236770, 236778, 236800, 237366, 646, 236764, 236743, 236770, 236778, 236778, 236761, 236812, 236770, 236778, 236770, 237366, 649, 236768, 618, 506, 5577, 1523, 236881, 564, 236789, 236753, 992, 1133, 531, 10769, 625, 607, 89255, 2351, 496, 236743, 236800, 236771, 236772, 33432, 12425, 531, 8701, 122751, 4106, 236761, 3792, 786, 1281, 768, 611, 1202, 4767, 6137, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 48488, 19212, 19987, 25929, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 26830, 17713, 236764, 16175, 19212, 236764, 8005, 236743, 236819, 236832, 236812, 236812, 236825, 827, 623, 17178, 236779, 100403, 1083, 236743, 236812, 236761, 236828, 236764, 623, 7569, 236779, 47340, 236779, 23251, 1083, 3714, 28128, 236779, 32320, 236779, 50640, 1083, 236743, 236778, 236770, 236771, 236771, 236764, 623, 46858, 236779, 24392, 1083, 623, 236770, 236770, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 827, 623, 67299, 236779, 48578, 1083, 236743, 236770, 236778, 236771, 236771, 1263, 623, 47639, 236779, 1571, 1639, 1083, 11058, 236792, 2693, 236789, 236751, 827, 623, 236773, 7233, 827, 623, 198066, 18338, 14255, 623, 6725, 236779, 153558, 616, 1083, 236743, 236828, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 506, 20480, 10294, 34508, 531, 822, 4563, 528, 16175, 19212, 236764, 8005, 236787, 108, 1018, 48488, 19212, 19987, 25929, 1018, 107, 236772, 46783, 236787, 236743, 236812, 236761, 236828, 7635, 699, 822, 4563, 107, 236772, 15874, 236787, 236743, 236770, 236778, 236800, 26830, 17713, 236764, 16175, 19212, 236764, 8005, 236743, 236819, 236832, 236812, 236812, 236825, 107, 236772, 14022, 39657, 236787, 236743, 107, 138, 236772, 29748, 6376, 13131, 236787, 236743, 236778, 236764, 236770, 236771, 236771, 107, 138, 236772, 43633, 3885, 236787, 236743, 236770, 236770, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 107, 138, 236772, 44546, 6541, 236787, 236743, 236770, 236764, 236778, 236771, 236771, 9952, 107, 236772, 78201, 235143, 236787, 132845, 236789, 236751, 236764, 112566, 236764, 53389, 18338, 107, 236772, 12613, 43499, 616, 236787, 236743, 236828, 236778, 11936, 108, 8409, 672, 5904, 1186, 7623, 506, 20480, 34508, 5467, 236764, 531, 18840, 89255, 2351, 496, 236743, 236800, 236771, 236772, 33432, 12425, 692, 1451, 236787, 107, 236770, 236761, 16499, 4767, 15375, 573, 1032, 89255, 528, 506, 2433, 107, 236778, 236761, 6890, 82004, 15468, 6436, 531, 50611, 2509, 4106, 107, 236800, 236761, 70535, 607, 46144, 1262, 573, 122751, 2433, 3671, 108, 38786, 611, 1133, 786, 531, 11327, 1027, 529, 1239, 4767, 18025, 653, 2864, 919, 3530, 1262, 3298, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 236789, 236757, 47545, 236764, 496, 10002, 7616, 528, 16175, 19212, 236764, 8005, 236761, 564, 1202, 1601, 8159, 506, 20480, 10294, 34508, 531, 18840, 3998, 8827, 9935, 573, 3435, 861, 4762, 11024, 236761, 3199, 611, 1161, 506, 808, 4114, 236779, 70878, 236779, 78944, 236829, 5904, 607, 1041, 1873, 15375, 568, 236812, 236812, 236761, 236800, 236770, 236778, 236800, 237366, 646, 236764, 236743, 236770, 236778, 236778, 236761, 236812, 236770, 236778, 236770, 237366, 649, 236768, 618, 506, 5577, 1523, 236881, 564, 236789, 236753, 992, 1133, 531, 10769, 625, 607, 89255, 2351, 496, 236743, 236800, 236771, 236772, 33432, 12425, 531, 8701, 122751, 4106, 236761, 3792, 786, 1281, 768, 611, 1202, 4767, 6137, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 48488, 19212, 19987, 25929, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 26830, 17713, 236764, 16175, 19212, 236764, 8005, 236743, 236819, 236832, 236812, 236812, 236825, 827, 623, 17178, 236779, 100403, 1083, 236743, 236812, 236761, 236828, 236764, 623, 7569, 236779, 47340, 236779, 23251, 1083, 3714, 28128, 236779, 32320, 236779, 50640, 1083, 236743, 236778, 236770, 236771, 236771, 236764, 623, 46858, 236779, 24392, 1083, 623, 236770, 236770, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 827, 623, 67299, 236779, 48578, 1083, 236743, 236770, 236778, 236771, 236771, 1263, 623, 47639, 236779, 1571, 1639, 1083, 11058, 236792, 2693, 236789, 236751, 827, 623, 236773, 7233, 827, 623, 198066, 18338, 14255, 623, 6725, 236779, 153558, 616, 1083, 236743, 236828, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 506, 20480, 10294, 34508, 531, 822, 4563, 528, 16175, 19212, 236764, 8005, 236787, 108, 1018, 48488, 19212, 19987, 25929, 1018, 107, 236772, 46783, 236787, 236743, 236812, 236761, 236828, 7635, 699, 822, 4563, 107, 236772, 15874, 236787, 236743, 236770, 236778, 236800, 26830, 17713, 236764, 16175, 19212, 236764, 8005, 236743, 236819, 236832, 236812, 236812, 236825, 107, 236772, 14022, 39657, 236787, 236743, 107, 138, 236772, 29748, 6376, 13131, 236787, 236743, 236778, 236764, 236770, 236771, 236771, 107, 138, 236772, 43633, 3885, 236787, 236743, 236770, 236770, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 107, 138, 236772, 44546, 6541, 236787, 236743, 236770, 236764, 236778, 236771, 236771, 9952, 107, 236772, 78201, 235143, 236787, 132845, 236789, 236751, 236764, 112566, 236764, 53389, 18338, 107, 236772, 12613, 43499, 616, 236787, 236743, 236828, 236778, 11936, 108, 8409, 672, 5904, 1186, 7623, 506, 20480, 34508, 5467, 236764, 531, 18840, 89255, 2351, 496, 236743, 236800, 236771, 236772, 33432, 12425, 692, 1451, 236787, 107, 236770, 236761, 16499, 4767, 15375, 573, 1032, 89255, 528, 506, 2433, 107, 236778, 236761, 6890, 82004, 15468, 6436, 531, 50611, 2509, 4106, 107, 236800, 236761, 70535, 607, 46144, 1262, 573, 122751, 2433, 3671, 108, 38786, 611, 1133, 786, 531, 11327, 1027, 529, 1239, 4767, 18025, 653, 2864, 919, 3530, 1262, 3298, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 2862, 3385, 573, 496, 2544, 2760, 623, 17224, 9904, 23566, 236775, 531, 5608, 1061, 1873, 1550, 573, 496, 3399, 6828, 8699, 657, 8268, 236761, 5612, 564, 1537, 236789, 236745, 1281, 506, 2862, 84390, 5404, 236764, 564, 236789, 236753, 1133, 611, 531, 1171, 1385, 872, 506, 2544, 684, 1463, 531, 1586, 1061, 4338, 2862, 3393, 236764, 1299, 1161, 600, 3393, 531, 33205, 506, 1873, 2436, 3385, 236761, 1637, 5065, 4699, 607, 3361, 5618, 3196, 236764, 56856, 506, 886, 87749, 528, 14401, 653, 607, 29074, 2778, 6675, 236761, 1637, 506, 1171, 5904, 20269, 531, 1586, 625, 236764, 2056, 9302, 3927, 3755, 1133, 623, 17224, 9904, 236775, 653, 623, 112819, 12232, 1781, 3792, 786, 1281, 506, 2587, 1657, 2918, 684, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 17224, 9904, 23566, 5295, 10498, 623, 64939, 1083, 623, 236823, 34334, 827, 623, 4002, 236779, 9707, 1083, 236743, 236812, 236778, 236761, 236828, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 16350, 236779, 5565, 1083, 623, 236770, 236761, 236778, 236799, 827, 623, 78024, 1083, 623, 115489, 742, 9904, 827, 623, 2834, 20770, 1083, 623, 170436, 236764, 14401, 827, 623, 2305, 236779, 58578, 1083, 623, 13238, 827, 623, 33686, 236779, 25541, 1083, 78493, 25385, 236779, 1201, 1083, 623, 17224, 9904, 12232, 827, 623, 64939, 1083, 623, 236823, 5856, 827, 623, 4002, 236779, 9707, 1083, 236743, 236770, 236828, 236761, 236812, 236810, 236764, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236810, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 2918, 236772, 2003, 236772, 9340, 1657, 532, 12396, 236787, 108, 236770, 236761, 5213, 28534, 181821, 684, 7343, 66515, 138, 107, 139, 33593, 623, 17224, 9904, 23566, 236775, 618, 506, 3927, 1941, 531, 8701, 506, 4338, 2862, 3393, 236761, 138, 107, 139, 4116, 236787, 5213, 17224, 9904, 23566, 5295, 99382, 607, 84390, 5213, 236823, 34334, 1018, 568, 2834, 68949, 528, 37435, 236764, 14401, 236768, 138, 107, 139, 236772, 28253, 10805, 236787, 4819, 138, 107, 139, 236772, 20467, 236787, 100756, 9904, 138, 107, 139, 236772, 25275, 4241, 236787, 7086, 9904, 12232, 568, 236823, 5856, 236768, 657, 609, 236770, 236828, 236761, 236812, 236810, 568, 11462, 36787, 6317, 529, 236743, 236771, 236761, 236832, 236810, 236768, 108, 236778, 236761, 5213, 8782, 12726, 14584, 66515, 138, 107, 139, 236772, 5213, 27320, 8739, 66515, 667, 34334, 138, 107, 139, 236772, 5213, 8782, 14584, 66515, 609, 236812, 236778, 236761, 236828, 236810, 23058, 138, 107, 139, 236772, 5213, 40219, 6395, 66515, 609, 236770, 236761, 236778, 7889, 138, 108, 2094, 12853, 822, 13138, 573, 496, 14401, 236772, 5140, 29074, 2778, 2544, 236761, 1599, 740, 1492, 5577, 5213, 236823, 34334, 1018, 573, 3342, 2958, 653, 15771, 18701, 236761, 3792, 786, 1281, 768, 611, 1202, 4767, 4889, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 2862, 3385, 573, 496, 2544, 2760, 623, 17224, 9904, 23566, 236775, 531, 5608, 1061, 1873, 1550, 573, 496, 3399, 6828, 8699, 657, 8268, 236761, 5612, 564, 1537, 236789, 236745, 1281, 506, 2862, 84390, 5404, 236764, 564, 236789, 236753, 1133, 611, 531, 1171, 1385, 872, 506, 2544, 684, 1463, 531, 1586, 1061, 4338, 2862, 3393, 236764, 1299, 1161, 600, 3393, 531, 33205, 506, 1873, 2436, 3385, 236761, 1637, 5065, 4699, 607, 3361, 5618, 3196, 236764, 56856, 506, 886, 87749, 528, 14401, 653, 607, 29074, 2778, 6675, 236761, 1637, 506, 1171, 5904, 20269, 531, 1586, 625, 236764, 2056, 9302, 3927, 3755, 1133, 623, 17224, 9904, 236775, 653, 623, 112819, 12232, 1781, 3792, 786, 1281, 506, 2587, 1657, 2918, 684, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 17224, 9904, 23566, 5295, 10498, 623, 64939, 1083, 623, 236823, 34334, 827, 623, 4002, 236779, 9707, 1083, 236743, 236812, 236778, 236761, 236828, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 16350, 236779, 5565, 1083, 623, 236770, 236761, 236778, 236799, 827, 623, 78024, 1083, 623, 115489, 742, 9904, 827, 623, 2834, 20770, 1083, 623, 170436, 236764, 14401, 827, 623, 2305, 236779, 58578, 1083, 623, 13238, 827, 623, 33686, 236779, 25541, 1083, 78493, 25385, 236779, 1201, 1083, 623, 17224, 9904, 12232, 827, 623, 64939, 1083, 623, 236823, 5856, 827, 623, 4002, 236779, 9707, 1083, 236743, 236770, 236828, 236761, 236812, 236810, 236764, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236810, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 2918, 236772, 2003, 236772, 9340, 1657, 532, 12396, 236787, 108, 236770, 236761, 5213, 28534, 181821, 684, 7343, 66515, 138, 107, 139, 33593, 623, 17224, 9904, 23566, 236775, 618, 506, 3927, 1941, 531, 8701, 506, 4338, 2862, 3393, 236761, 138, 107, 139, 4116, 236787, 5213, 17224, 9904, 23566, 5295, 99382, 607, 84390, 5213, 236823, 34334, 1018, 568, 2834, 68949, 528, 37435, 236764, 14401, 236768, 138, 107, 139, 236772, 28253, 10805, 236787, 4819, 138, 107, 139, 236772, 20467, 236787, 100756, 9904, 138, 107, 139, 236772, 25275, 4241, 236787, 7086, 9904, 12232, 568, 236823, 5856, 236768, 657, 609, 236770, 236828, 236761, 236812, 236810, 568, 11462, 36787, 6317, 529, 236743, 236771, 236761, 236832, 236810, 236768, 108, 236778, 236761, 5213, 8782, 12726, 14584, 66515, 138, 107, 139, 236772, 5213, 27320, 8739, 66515, 667, 34334, 138, 107, 139, 236772, 5213, 8782, 14584, 66515, 609, 236812, 236778, 236761, 236828, 236810, 23058, 138, 107, 139, 236772, 5213, 40219, 6395, 66515, 609, 236770, 236761, 236778, 7889, 138, 108, 2094, 12853, 822, 13138, 573, 496, 14401, 236772, 5140, 29074, 2778, 2544, 236761, 1599, 740, 1492, 5577, 5213, 236823, 34334, 1018, 573, 3342, 2958, 653, 15771, 18701, 236761, 3792, 786, 1281, 768, 611, 1202, 4767, 4889, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 4087, 78710, 43359, 236789, 236751, 2147, 12727, 236789, 236751, 1873, 7296, 532, 4773, 1061, 4453, 21838, 990, 657, 506, 12892, 16047, 236761, 5315, 236764, 33205, 1061, 1759, 236772, 2289, 15375, 236764, 30618, 236764, 532, 16398, 236761, 4298, 236764, 1161, 600, 1262, 531, 9279, 1061, 27712, 16257, 990, 684, 104713, 528, 228785, 532, 5149, 531, 506, 12892, 236761, 13472, 236764, 4071, 236772, 30449, 506, 12892, 16047, 236789, 236751, 17934, 3885, 532, 7606, 3439, 531, 9128, 48851, 529, 506, 21838, 236761, 7714, 2918, 1921, 1161, 506, 862, 498, 236779, 15120, 5904, 653, 4596, 6436, 573, 10634, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 1083, 236743, 236800, 236832, 236761, 236832, 236832, 236812, 236819, 236764, 623, 41713, 1083, 753, 236770, 236778, 236778, 236761, 236812, 236770, 236819, 236812, 236764, 623, 99062, 236779, 765, 1083, 236743, 236800, 236810, 236771, 236771, 236771, 236764, 623, 4650, 6649, 236779, 4312, 1498, 1083, 236743, 236812, 236810, 236771, 236764, 623, 21279, 236779, 12311, 1083, 236743, 236778, 236832, 236771, 236764, 623, 34598, 236779, 140323, 1083, 623, 172679, 49512, 827, 623, 17178, 236779, 1071, 236779, 34598, 236779, 236749, 1327, 1083, 236743, 236778, 236810, 236771, 236764, 623, 51183, 236779, 2289, 236779, 1071, 236779, 34598, 1083, 623, 236771, 236771, 236787, 236800, 236810, 236787, 236771, 236771, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 25938, 106, 107, 105, 4368, 107, 22515, 580, 506, 1759, 236772, 2289, 1262, 52236, 699, 506, 862, 498, 236779, 15120, 5904, 236764, 1590, 236789, 236751, 506, 1873, 4981, 532, 19360, 236787, 108, 1018, 8782, 27180, 53121, 138, 107, 236772, 119558, 236787, 236743, 236800, 236832, 236761, 236832, 236832, 236812, 236819, 237366, 236797, 236764, 753, 236770, 236778, 236778, 236761, 236812, 236770, 236819, 236812, 237366, 236824, 568, 23243, 14322, 8036, 14133, 236768, 138, 107, 236772, 178910, 236787, 236743, 236800, 236810, 236764, 236771, 236771, 236771, 6172, 138, 107, 236772, 5661, 11243, 236787, 236743, 236812, 236810, 236771, 55717, 138, 107, 236772, 107999, 236787, 4844, 568, 236778, 236832, 236771, 80024, 138, 108, 1018, 34105, 20303, 53121, 138, 107, 236772, 84076, 17526, 236787, 161846, 49512, 568, 12720, 633, 236761, 29242, 5785, 17526, 236764, 1799, 3773, 236768, 138, 107, 236772, 46783, 167774, 236787, 236743, 236778, 236810, 236771, 82647, 7635, 138, 107, 236772, 5213, 8410, 524, 93550, 7578, 529, 111917, 568, 26742, 1473, 1018, 236743, 236800, 236810, 4310, 699, 506, 1774, 31115, 568, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 779, 68118, 21838, 2101, 5213, 236770, 236800, 236787, 236770, 236771, 59528, 84750, 138, 108, 1018, 7168, 193666, 7179, 186612, 53121, 138, 107, 818, 862, 498, 236779, 15120, 5904, 1677, 711, 2847, 16047, 17934, 3885, 653, 1759, 236772, 2289, 7606, 1262, 573, 161846, 49512, 236761, 2282, 9128, 21838, 48851, 236764, 4767, 6436, 568, 236744, 236761, 236759, 1126, 16047, 7606, 56918, 236764, 5244, 1936, 17507, 236768, 1093, 577, 3149, 236764, 837, 659, 711, 15283, 1590, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 129845, 14988, 3342, 653, 18161, 9302, 6555, 768, 161846, 49512, 3439, 659, 84040, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 4087, 78710, 43359, 236789, 236751, 2147, 12727, 236789, 236751, 1873, 7296, 532, 4773, 1061, 4453, 21838, 990, 657, 506, 12892, 16047, 236761, 5315, 236764, 33205, 1061, 1759, 236772, 2289, 15375, 236764, 30618, 236764, 532, 16398, 236761, 4298, 236764, 1161, 600, 1262, 531, 9279, 1061, 27712, 16257, 990, 684, 104713, 528, 228785, 532, 5149, 531, 506, 12892, 236761, 13472, 236764, 4071, 236772, 30449, 506, 12892, 16047, 236789, 236751, 17934, 3885, 532, 7606, 3439, 531, 9128, 48851, 529, 506, 21838, 236761, 7714, 2918, 1921, 1161, 506, 862, 498, 236779, 15120, 5904, 653, 4596, 6436, 573, 10634, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 1083, 236743, 236800, 236832, 236761, 236832, 236832, 236812, 236819, 236764, 623, 41713, 1083, 753, 236770, 236778, 236778, 236761, 236812, 236770, 236819, 236812, 236764, 623, 99062, 236779, 765, 1083, 236743, 236800, 236810, 236771, 236771, 236771, 236764, 623, 4650, 6649, 236779, 4312, 1498, 1083, 236743, 236812, 236810, 236771, 236764, 623, 21279, 236779, 12311, 1083, 236743, 236778, 236832, 236771, 236764, 623, 34598, 236779, 140323, 1083, 623, 172679, 49512, 827, 623, 17178, 236779, 1071, 236779, 34598, 236779, 236749, 1327, 1083, 236743, 236778, 236810, 236771, 236764, 623, 51183, 236779, 2289, 236779, 1071, 236779, 34598, 1083, 623, 236771, 236771, 236787, 236800, 236810, 236787, 236771, 236771, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 25938, 106, 107, 105, 4368, 107, 22515, 580, 506, 1759, 236772, 2289, 1262, 52236, 699, 506, 862, 498, 236779, 15120, 5904, 236764, 1590, 236789, 236751, 506, 1873, 4981, 532, 19360, 236787, 108, 1018, 8782, 27180, 53121, 138, 107, 236772, 119558, 236787, 236743, 236800, 236832, 236761, 236832, 236832, 236812, 236819, 237366, 236797, 236764, 753, 236770, 236778, 236778, 236761, 236812, 236770, 236819, 236812, 237366, 236824, 568, 23243, 14322, 8036, 14133, 236768, 138, 107, 236772, 178910, 236787, 236743, 236800, 236810, 236764, 236771, 236771, 236771, 6172, 138, 107, 236772, 5661, 11243, 236787, 236743, 236812, 236810, 236771, 55717, 138, 107, 236772, 107999, 236787, 4844, 568, 236778, 236832, 236771, 80024, 138, 108, 1018, 34105, 20303, 53121, 138, 107, 236772, 84076, 17526, 236787, 161846, 49512, 568, 12720, 633, 236761, 29242, 5785, 17526, 236764, 1799, 3773, 236768, 138, 107, 236772, 46783, 167774, 236787, 236743, 236778, 236810, 236771, 82647, 7635, 138, 107, 236772, 5213, 8410, 524, 93550, 7578, 529, 111917, 568, 26742, 1473, 1018, 236743, 236800, 236810, 4310, 699, 506, 1774, 31115, 568, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 779, 68118, 21838, 2101, 5213, 236770, 236800, 236787, 236770, 236771, 59528, 84750, 138, 108, 1018, 7168, 193666, 7179, 186612, 53121, 138, 107, 818, 862, 498, 236779, 15120, 5904, 1677, 711, 2847, 16047, 17934, 3885, 653, 1759, 236772, 2289, 7606, 1262, 573, 161846, 49512, 236761, 2282, 9128, 21838, 48851, 236764, 4767, 6436, 568, 236744, 236761, 236759, 1126, 16047, 7606, 56918, 236764, 5244, 1936, 17507, 236768, 1093, 577, 3149, 236764, 837, 659, 711, 15283, 1590, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 129845, 14988, 3342, 653, 18161, 9302, 6555, 768, 161846, 49512, 3439, 659, 84040, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6995, 496, 7946, 531, 32649, 531, 1460, 506, 15632, 46768, 532, 1461, 531, 1586, 1070, 13451, 7021, 529, 4301, 3956, 1262, 236761, 28344, 611, 1601, 786, 1586, 45847, 600, 65607, 528, 4301, 236772, 10619, 4867, 1938, 573, 32649, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 53247, 1083, 236743, 236812, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 53247, 236779, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236764, 623, 38264, 616, 1083, 78493, 1201, 1083, 623, 31777, 41565, 17172, 76374, 827, 623, 7777, 1083, 623, 23244, 5411, 528, 4867, 1262, 573, 20623, 532, 4301, 3956, 528, 32649, 236764, 2440, 15632, 46768, 20623, 15067, 10498, 623, 31935, 1083, 623, 2574, 1411, 11324, 2677, 43201, 147691, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 3906, 236940, 11324, 2677, 43201, 147691, 236761, 854, 23179, 3714, 1201, 1083, 623, 158320, 16906, 57792, 827, 623, 7777, 1083, 623, 15489, 36884, 2436, 7248, 580, 70401, 4301, 532, 20623, 18597, 236764, 607, 496, 3213, 580, 32649, 10498, 623, 31935, 1083, 623, 2574, 1411, 1166, 624, 6888, 9430, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 11607, 236940, 1166, 624, 6888, 9430, 236761, 854, 23179, 3714, 1201, 1083, 623, 150131, 37728, 35438, 827, 623, 7777, 1083, 623, 129318, 9813, 4867, 3671, 529, 43293, 20623, 9766, 236764, 2440, 32649, 236789, 236751, 15632, 46768, 3956, 10498, 623, 31935, 1083, 623, 2574, 1411, 46193, 1210, 700, 83878, 514, 24323, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 9442, 236940, 46193, 1210, 700, 83878, 514, 24323, 236761, 854, 23179, 3714, 1201, 1083, 623, 84517, 525, 17172, 19666, 827, 623, 7777, 1083, 623, 208371, 4867, 19317, 532, 2436, 14020, 573, 4301, 4699, 8172, 528, 32649, 532, 506, 25898, 70401, 4128, 10498, 623, 31935, 1083, 623, 2574, 1411, 117276, 1210, 4031, 883, 495, 831, 236761, 1904, 827, 623, 11607, 236779, 6774, 1083, 623, 3906, 236940, 117276, 1210, 4031, 883, 495, 831, 236761, 1904, 23179, 3714, 1201, 1083, 623, 236811, 121867, 17172, 6498, 827, 623, 7777, 1083, 623, 15354, 507, 580, 13726, 20623, 14396, 532, 2436, 15067, 528, 47524, 4301, 18597, 10498, 623, 31935, 1083, 623, 2574, 1411, 236635, 43201, 44606, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 44606, 236940, 236635, 43201, 44606, 236761, 854, 23179, 3714, 1201, 1083, 623, 94229, 29448, 6308, 827, 623, 7777, 1083, 623, 23244, 5411, 528, 5527, 3671, 529, 10575, 20623, 236764, 2440, 32649, 236789, 236751, 15632, 46768, 3956, 10498, 623, 31935, 1083, 623, 2574, 1411, 47362, 746, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 3906, 236940, 47362, 746, 236761, 854, 23179, 3714, 1201, 1083, 623, 31777, 41565, 37728, 19666, 7955, 827, 623, 7777, 1083, 623, 26917, 532, 75546, 580, 4867, 10217, 529, 32649, 236789, 236751, 20623, 3956, 10498, 623, 31935, 1083, 623, 2574, 1411, 666, 13268, 236761, 1904, 827, 623, 11607, 236779, 6774, 1083, 623, 11607, 236940, 666, 13268, 236761, 1904, 23179, 3714, 1201, 1083, 623, 150131, 12726, 27708, 827, 623, 7777, 1083, 623, 129318, 4867, 1262, 532, 2436, 3671, 573, 43293, 20623, 532, 4596, 13390, 10498, 623, 31935, 1083, 623, 2574, 1411, 78942, 16350, 59639, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 9442, 236940, 78942, 16350, 59639, 236761, 854, 23179, 3714, 1201, 1083, 623, 44410, 19666, 32649, 827, 623, 7777, 1083, 623, 208371, 4867, 1262, 532, 19317, 3530, 531, 32649, 236789, 236751, 4301, 532, 20623, 7095, 10498, 623, 31935, 1083, 623, 2574, 1411, 135044, 883, 495, 221119, 504, 2677, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 3906, 236940, 135044, 883, 495, 221119, 504, 2677, 236761, 854, 23179, 3714, 1201, 1083, 623, 84517, 525, 17172, 29448, 827, 623, 7777, 1083, 623, 48604, 14728, 5527, 15067, 528, 70401, 4301, 9766, 236764, 607, 20622, 580, 32649, 236789, 236751, 20623, 3956, 10498, 623, 31935, 1083, 623, 2574, 1411, 117276, 1210, 35855, 519, 2508, 1229, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 3906, 236940, 117276, 1210, 35855, 519, 2508, 1229, 236761, 854, 236775, 165075, 106, 107, 105, 4368, 107, 236777, 1765, 236743, 236812, 236778, 45847, 68916, 528, 4301, 236772, 10619, 4867, 1262, 573, 32649, 236761, 5715, 659, 506, 1903, 236743, 236810, 1346, 7798, 12853, 573, 15632, 46768, 20623, 15067, 532, 47524, 4301, 3956, 19317, 236787, 108, 236770, 236761, 5213, 31777, 41565, 17172, 76374, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 10624, 5411, 528, 4867, 1262, 573, 20623, 532, 4301, 3956, 528, 32649, 236764, 2440, 15632, 46768, 20623, 15067, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 2574, 1411, 11324, 2677, 43201, 147691, 236761, 854, 5457, 2574, 1411, 11324, 2677, 43201, 147691, 236761, 854, 236768, 138, 107, 139, 236772, 13948, 236787, 8283, 236940, 11324, 2677, 43201, 147691, 236761, 854, 138, 108, 236778, 236761, 5213, 150131, 37728, 35438, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 64253, 9813, 4867, 3671, 529, 43293, 20623, 9766, 236764, 2440, 32649, 236789, 236751, 15632, 46768, 3956, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 2574, 1411, 46193, 1210, 700, 83878, 514, 24323, 236761, 854, 5457, 2574, 1411, 46193, 1210, 700, 83878, 514, 24323, 236761, 854, 236768, 138, 107, 139, 236772, 13948, 236787, 1894, 236940, 46193, 1210, 700, 83878, 514, 24323, 236761, 854, 138, 108, 236800, 236761, 5213, 94229, 29448, 6308, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 10624, 5411, 528, 5527, 3671, 529, 10575, 20623, 236764, 2440, 32649, 236789, 236751, 15632, 46768, 3956, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 2574, 1411, 47362, 746, 236761, 854, 5457, 2574, 1411, 47362, 746, 236761, 854, 236768, 138, 107, 139, 236772, 13948, 236787, 8283, 236940, 47362, 746, 236761, 854, 138, 108, 236812, 236761, 5213, 31777, 41565, 37728, 19666, 7955, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 6498, 532, 75546, 580, 4867, 10217, 529, 32649, 236789, 236751, 20623, 3956, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 2574, 1411, 666, 13268, 236761, 1904, 5457, 2574, 1411, 666, 13268, 236761, 1904, 236768, 138, 107, 139, 236772, 13948, 236787, 3662, 236940, 666, 13268, 236761, 1904, 138, 108, 236810, 236761, 5213, 236811, 121867, 17172, 6498, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 30235, 507, 580, 13726, 20623, 14396, 532, 2436, 15067, 528, 47524, 4301, 18597, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 2574, 1411, 236635, 43201, 44606, 236761, 854, 5457, 2574, 1411, 236635, 43201, 44606, 236761, 854, 236768, 138, 107, 139, 236772, 13948, 236787, 2958, 236940, 236635, 43201, 44606, 236761, 854, 138, 108, 38786, 611, 1133, 786, 531, 11327, 4767, 7704, 529, 2536, 236764, 2426, 3530, 29032, 4889, 568, 236744, 236761, 236759, 1126, 5754, 1262, 653, 23627, 3835, 779, 653, 1601, 12262, 614, 26410, 531, 1027, 529, 1239, 7021, 236881, 106, 107, 105, 2364, 107, 30092, 611, 974, 919, 9813, 1938, 1003, 47524, 17172, 76374, 236881, 564, 236789, 236757, 6412, 7467, 528, 910, 7248, 580, 15632, 46768, 20623, 15067, 532, 1027, 23627, 3835, 2487, 573, 3141, 39393, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 68477, 236779, 1201, 1083, 623, 31777, 41565, 17172, 76374, 827, 623, 6774, 1083, 623, 3906, 236940, 11324, 2677, 43201, 147691, 236761, 854, 827, 623, 59639, 1083, 78493, 3250, 1083, 623, 72982, 46768, 37728, 48993, 236743, 236778, 236771, 236778, 236800, 827, 623, 6011, 1083, 623, 174791, 3671, 529, 28594, 20623, 9935, 236764, 32801, 86236, 236764, 532, 5527, 4100, 529, 15632, 46768, 20623, 528, 32649, 827, 623, 12549, 236779, 5909, 1083, 623, 107367, 10522, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 150131, 37728, 12726, 42746, 827, 623, 6011, 1083, 623, 40219, 3671, 529, 43293, 20623, 34091, 607, 236743, 236778, 236771, 236778, 236812, 236772, 236778, 236771, 236778, 236810, 35719, 827, 623, 12549, 236779, 5909, 1083, 623, 19118, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236778, 236771, 25938, 1604, 623, 141880, 1083, 78493, 15081, 236779, 1201, 1083, 623, 44410, 497, 18711, 827, 623, 9707, 1083, 6610, 236778, 236819, 236761, 236819, 236819, 236786, 3704, 827, 623, 16518, 1083, 11058, 11942, 531, 784, 1237, 7248, 827, 623, 96579, 3956, 12496, 152254, 3714, 15081, 236779, 1201, 1083, 623, 107332, 161565, 827, 623, 9707, 1083, 6610, 236832, 236819, 236761, 236819, 236819, 236786, 3704, 827, 623, 16518, 1083, 11058, 3243, 18711, 4065, 827, 623, 128996, 15632, 46768, 7248, 827, 623, 33076, 1662, 4301, 15136, 827, 623, 53058, 5602, 1894, 1935, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 573, 5213, 31777, 41565, 17172, 76374, 1018, 2721, 580, 822, 2864, 236787, 108, 10354, 236743, 249214, 15632, 46768, 37728, 48993, 8708, 138, 107, 236772, 5213, 7396, 66515, 808, 72982, 46768, 37728, 48993, 236743, 236778, 236771, 236778, 236800, 236829, 138, 107, 236772, 5213, 24355, 66515, 61774, 3671, 529, 28594, 20623, 9935, 236764, 32801, 86236, 236764, 532, 5527, 4100, 529, 15632, 46768, 20623, 528, 32649, 236761, 138, 107, 236772, 5213, 11942, 16575, 66515, 808, 107367, 10522, 236829, 568, 68717, 13671, 23627, 236768, 138, 107, 236772, 5213, 9008, 42841, 66515, 6384, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 138, 108, 10354, 236743, 244906, 7067, 18326, 27708, 138, 107, 236772, 5213, 7396, 66515, 808, 150131, 37728, 12726, 42746, 236829, 138, 107, 138, 236772, 7423, 586, 15283, 568, 1904, 23627, 4354, 236768, 138, 107, 138, 236772, 12726, 3671, 529, 43293, 20623, 34091, 607, 236743, 236778, 236771, 236778, 236812, 236772, 236778, 236771, 236778, 236810, 35719, 138, 107, 138, 236772, 11662, 42841, 236787, 6243, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 138, 108, 10354, 236743, 242083, 78103, 48139, 573, 25567, 138055, 138, 107, 236909, 9620, 1109, 14584, 1109, 9533, 25772, 1109, 49308, 15632, 46768, 8708, 236881, 1109, 138, 107, 236909, 33129, 236909, 40328, 236909, 29118, 236909, 2819, 2819, 726, 236909, 138, 107, 236909, 5213, 44410, 497, 18711, 1018, 1109, 609, 236778, 236819, 236761, 236819, 236819, 236786, 3704, 1109, 753, 7423, 7248, 2802, 236820, 1457, 41465, 50292, 3956, 12496, 1109, 236743, 242523, 2301, 1109, 138, 107, 236909, 5213, 107332, 161565, 1018, 1109, 609, 236832, 236819, 236761, 236819, 236819, 236786, 3704, 1109, 753, 2343, 18711, 4065, 236820, 1457, 41465, 5213, 128996, 15632, 46768, 7248, 1018, 236820, 1457, 41465, 159722, 4301, 15136, 236820, 1457, 41465, 59193, 5602, 1894, 1109, 113452, 8438, 1109, 138, 108, 10354, 12067, 50228, 138, 107, 10081, 506, 15632, 46768, 2072, 563, 5213, 8960, 2487, 531, 34610, 125546, 611, 236858, 859, 1202, 506, 5213, 107332, 161565, 2731, 1018, 531, 2802, 625, 236761, 5978, 506, 5904, 3072, 4038, 236858, 236745, 3204, 1982, 23627, 9851, 236764, 611, 740, 236787, 138, 107, 236770, 236761, 5213, 11919, 1091, 5467, 66515, 870, 3906, 236940, 11324, 2677, 43201, 147691, 236761, 854, 5457, 36440, 236787, 3906, 236940, 11324, 2677, 43201, 147691, 236761, 854, 236768, 138, 107, 236778, 236761, 5213, 51455, 1003, 66515, 138, 107, 139, 236772, 2088, 531, 1519, 872, 573, 506, 32173, 2731, 138, 107, 139, 236772, 16019, 901, 2729, 7464, 13443, 653, 36498, 573, 39393, 138, 107, 139, 236772, 25275, 4889, 1003, 28233, 15136, 573, 15632, 46768, 24099, 11024, 138, 108, 38786, 611, 1133, 786, 531, 12262, 496, 5498, 26410, 4553, 531, 5039, 531, 1091, 236881, 103453, 106, 107, 105, 2364, 107, 10784, 236764, 5091, 12262, 614, 4553, 531, 47524, 17172, 76374, 10980, 1003, 506, 32173, 161565, 23627, 236761, 564, 236789, 236757, 496, 5117, 236764, 834, 564, 236789, 236753, 1133, 531, 1281, 768, 993, 236789, 236751, 496, 5117, 12223, 2487, 236761, 6542, 236764, 1451, 506, 2072, 3204, 15491, 11221, 573, 43887, 506, 15632, 46768, 236881, 1452, 776, 901, 735, 15136, 573, 506, 1791, 11024, 531, 1927, 1091, 2721, 580, 910, 1262, 236881, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 5707, 4553, 12262, 573, 611, 531, 5039, 531, 5213, 31777, 41565, 17172, 76374, 84750, 35979, 4865, 532, 21836, 672, 1131, 822, 4553, 4430, 236764, 532, 9883, 506, 34704, 524, 180399, 607, 822, 3577, 4889, 236787, 108, 7243, 108, 1018, 21288, 66515, 87101, 11968, 32173, 161565, 78103, 532, 15632, 46768, 8708, 20303, 138, 108, 31163, 47524, 17172, 76374, 10765, 236764, 138, 108, 236777, 4614, 672, 3618, 15249, 611, 1388, 236761, 3551, 1463, 563, 870, 11069, 10456, 7343, 1604, 532, 564, 236789, 236757, 496, 5117, 6995, 496, 7946, 531, 32649, 531, 10021, 506, 15632, 46768, 236761, 564, 3588, 3418, 822, 2544, 1343, 1041, 2958, 532, 1006, 1401, 7467, 528, 822, 5213, 107332, 161565, 23627, 1018, 573, 2802, 531, 506, 808, 72982, 46768, 37728, 48993, 236743, 236778, 236771, 236778, 236800, 236829, 2072, 236761, 138, 108, 2205, 496, 5117, 236764, 564, 236858, 236753, 1133, 531, 2679, 236787, 138, 107, 236770, 236761, 3574, 611, 2729, 1027, 5213, 12915, 36498, 1018, 580, 822, 23627, 6614, 236881, 138, 107, 236778, 236761, 14300, 506, 2072, 3204, 5213, 119653, 11221, 1018, 573, 43887, 506, 15632, 46768, 568, 236744, 236761, 236759, 1126, 5873, 7846, 236764, 7436, 11024, 573, 15491, 20625, 138, 107, 236800, 236761, 9354, 993, 5213, 1516, 236772, 27612, 15136, 1018, 573, 506, 1791, 24099, 11024, 528, 32649, 568, 236744, 236761, 236759, 1126, 2721, 580, 7606, 9935, 236764, 10321, 4588, 236764, 653, 28594, 27820, 20625, 138, 108, 236777, 236858, 236753, 14562, 14756, 1027, 4767, 4889, 1003, 506, 2072, 236858, 236751, 3004, 653, 23627, 1657, 236761, 10770, 611, 573, 822, 990, 532, 14739, 237028, 236777, 236858, 236757, 9775, 531, 3449, 699, 822, 19317, 236888, 138, 108, 17043, 23574, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 15755, 5853, 236764, 768, 11955, 236842, 138, 107, 236840, 11069, 19955, 15874, 236842, 138, 107, 236840, 11069, 23386, 9661, 236842, 138, 108, 7243, 108, 240732, 5213, 9272, 6555, 66515, 138, 107, 236772, 20373, 672, 4553, 531, 5213, 3906, 236940, 11324, 2677, 43201, 147691, 236761, 854, 1018, 138, 107, 236772, 2195, 11082, 8932, 2351, 236743, 236770, 236964, 236800, 1960, 2668, 138, 107, 236772, 1637, 611, 236858, 236753, 1133, 786, 531, 6253, 506, 15737, 568, 236744, 236761, 236759, 1126, 919, 10781, 236786, 55182, 236768, 653, 1138, 3530, 4889, 236764, 1164, 1531, 786, 1281, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6995, 496, 7946, 531, 32649, 531, 1460, 506, 15632, 46768, 532, 1461, 531, 1586, 1070, 13451, 7021, 529, 4301, 3956, 1262, 236761, 28344, 611, 1601, 786, 1586, 45847, 600, 65607, 528, 4301, 236772, 10619, 4867, 1938, 573, 32649, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 53247, 1083, 236743, 236812, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 53247, 236779, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236764, 623, 38264, 616, 1083, 78493, 1201, 1083, 623, 31777, 41565, 17172, 76374, 827, 623, 7777, 1083, 623, 23244, 5411, 528, 4867, 1262, 573, 20623, 532, 4301, 3956, 528, 32649, 236764, 2440, 15632, 46768, 20623, 15067, 10498, 623, 31935, 1083, 623, 2574, 1411, 11324, 2677, 43201, 147691, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 3906, 236940, 11324, 2677, 43201, 147691, 236761, 854, 23179, 3714, 1201, 1083, 623, 158320, 16906, 57792, 827, 623, 7777, 1083, 623, 15489, 36884, 2436, 7248, 580, 70401, 4301, 532, 20623, 18597, 236764, 607, 496, 3213, 580, 32649, 10498, 623, 31935, 1083, 623, 2574, 1411, 1166, 624, 6888, 9430, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 11607, 236940, 1166, 624, 6888, 9430, 236761, 854, 23179, 3714, 1201, 1083, 623, 150131, 37728, 35438, 827, 623, 7777, 1083, 623, 129318, 9813, 4867, 3671, 529, 43293, 20623, 9766, 236764, 2440, 32649, 236789, 236751, 15632, 46768, 3956, 10498, 623, 31935, 1083, 623, 2574, 1411, 46193, 1210, 700, 83878, 514, 24323, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 9442, 236940, 46193, 1210, 700, 83878, 514, 24323, 236761, 854, 23179, 3714, 1201, 1083, 623, 84517, 525, 17172, 19666, 827, 623, 7777, 1083, 623, 208371, 4867, 19317, 532, 2436, 14020, 573, 4301, 4699, 8172, 528, 32649, 532, 506, 25898, 70401, 4128, 10498, 623, 31935, 1083, 623, 2574, 1411, 117276, 1210, 4031, 883, 495, 831, 236761, 1904, 827, 623, 11607, 236779, 6774, 1083, 623, 3906, 236940, 117276, 1210, 4031, 883, 495, 831, 236761, 1904, 23179, 3714, 1201, 1083, 623, 236811, 121867, 17172, 6498, 827, 623, 7777, 1083, 623, 15354, 507, 580, 13726, 20623, 14396, 532, 2436, 15067, 528, 47524, 4301, 18597, 10498, 623, 31935, 1083, 623, 2574, 1411, 236635, 43201, 44606, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 44606, 236940, 236635, 43201, 44606, 236761, 854, 23179, 3714, 1201, 1083, 623, 94229, 29448, 6308, 827, 623, 7777, 1083, 623, 23244, 5411, 528, 5527, 3671, 529, 10575, 20623, 236764, 2440, 32649, 236789, 236751, 15632, 46768, 3956, 10498, 623, 31935, 1083, 623, 2574, 1411, 47362, 746, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 3906, 236940, 47362, 746, 236761, 854, 23179, 3714, 1201, 1083, 623, 31777, 41565, 37728, 19666, 7955, 827, 623, 7777, 1083, 623, 26917, 532, 75546, 580, 4867, 10217, 529, 32649, 236789, 236751, 20623, 3956, 10498, 623, 31935, 1083, 623, 2574, 1411, 666, 13268, 236761, 1904, 827, 623, 11607, 236779, 6774, 1083, 623, 11607, 236940, 666, 13268, 236761, 1904, 23179, 3714, 1201, 1083, 623, 150131, 12726, 27708, 827, 623, 7777, 1083, 623, 129318, 4867, 1262, 532, 2436, 3671, 573, 43293, 20623, 532, 4596, 13390, 10498, 623, 31935, 1083, 623, 2574, 1411, 78942, 16350, 59639, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 9442, 236940, 78942, 16350, 59639, 236761, 854, 23179, 3714, 1201, 1083, 623, 44410, 19666, 32649, 827, 623, 7777, 1083, 623, 208371, 4867, 1262, 532, 19317, 3530, 531, 32649, 236789, 236751, 4301, 532, 20623, 7095, 10498, 623, 31935, 1083, 623, 2574, 1411, 135044, 883, 495, 221119, 504, 2677, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 3906, 236940, 135044, 883, 495, 221119, 504, 2677, 236761, 854, 23179, 3714, 1201, 1083, 623, 84517, 525, 17172, 29448, 827, 623, 7777, 1083, 623, 48604, 14728, 5527, 15067, 528, 70401, 4301, 9766, 236764, 607, 20622, 580, 32649, 236789, 236751, 20623, 3956, 10498, 623, 31935, 1083, 623, 2574, 1411, 117276, 1210, 35855, 519, 2508, 1229, 236761, 854, 827, 623, 11607, 236779, 6774, 1083, 623, 3906, 236940, 117276, 1210, 35855, 519, 2508, 1229, 236761, 854, 236775, 165075, 106, 107, 105, 4368, 107, 236777, 1765, 236743, 236812, 236778, 45847, 68916, 528, 4301, 236772, 10619, 4867, 1262, 573, 32649, 236761, 5715, 659, 506, 1903, 236743, 236810, 1346, 7798, 12853, 573, 15632, 46768, 20623, 15067, 532, 47524, 4301, 3956, 19317, 236787, 108, 236770, 236761, 5213, 31777, 41565, 17172, 76374, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 10624, 5411, 528, 4867, 1262, 573, 20623, 532, 4301, 3956, 528, 32649, 236764, 2440, 15632, 46768, 20623, 15067, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 2574, 1411, 11324, 2677, 43201, 147691, 236761, 854, 5457, 2574, 1411, 11324, 2677, 43201, 147691, 236761, 854, 236768, 138, 107, 139, 236772, 13948, 236787, 8283, 236940, 11324, 2677, 43201, 147691, 236761, 854, 138, 108, 236778, 236761, 5213, 150131, 37728, 35438, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 64253, 9813, 4867, 3671, 529, 43293, 20623, 9766, 236764, 2440, 32649, 236789, 236751, 15632, 46768, 3956, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 2574, 1411, 46193, 1210, 700, 83878, 514, 24323, 236761, 854, 5457, 2574, 1411, 46193, 1210, 700, 83878, 514, 24323, 236761, 854, 236768, 138, 107, 139, 236772, 13948, 236787, 1894, 236940, 46193, 1210, 700, 83878, 514, 24323, 236761, 854, 138, 108, 236800, 236761, 5213, 94229, 29448, 6308, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 10624, 5411, 528, 5527, 3671, 529, 10575, 20623, 236764, 2440, 32649, 236789, 236751, 15632, 46768, 3956, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 2574, 1411, 47362, 746, 236761, 854, 5457, 2574, 1411, 47362, 746, 236761, 854, 236768, 138, 107, 139, 236772, 13948, 236787, 8283, 236940, 47362, 746, 236761, 854, 138, 108, 236812, 236761, 5213, 31777, 41565, 37728, 19666, 7955, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 6498, 532, 75546, 580, 4867, 10217, 529, 32649, 236789, 236751, 20623, 3956, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 2574, 1411, 666, 13268, 236761, 1904, 5457, 2574, 1411, 666, 13268, 236761, 1904, 236768, 138, 107, 139, 236772, 13948, 236787, 3662, 236940, 666, 13268, 236761, 1904, 138, 108, 236810, 236761, 5213, 236811, 121867, 17172, 6498, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 30235, 507, 580, 13726, 20623, 14396, 532, 2436, 15067, 528, 47524, 4301, 18597, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 2574, 1411, 236635, 43201, 44606, 236761, 854, 5457, 2574, 1411, 236635, 43201, 44606, 236761, 854, 236768, 138, 107, 139, 236772, 13948, 236787, 2958, 236940, 236635, 43201, 44606, 236761, 854, 138, 108, 38786, 611, 1133, 786, 531, 11327, 4767, 7704, 529, 2536, 236764, 2426, 3530, 29032, 4889, 568, 236744, 236761, 236759, 1126, 5754, 1262, 653, 23627, 3835, 779, 653, 1601, 12262, 614, 26410, 531, 1027, 529, 1239, 7021, 236881, 106, 107, 105, 2364, 107, 30092, 611, 974, 919, 9813, 1938, 1003, 47524, 17172, 76374, 236881, 564, 236789, 236757, 6412, 7467, 528, 910, 7248, 580, 15632, 46768, 20623, 15067, 532, 1027, 23627, 3835, 2487, 573, 3141, 39393, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 68477, 236779, 1201, 1083, 623, 31777, 41565, 17172, 76374, 827, 623, 6774, 1083, 623, 3906, 236940, 11324, 2677, 43201, 147691, 236761, 854, 827, 623, 59639, 1083, 78493, 3250, 1083, 623, 72982, 46768, 37728, 48993, 236743, 236778, 236771, 236778, 236800, 827, 623, 6011, 1083, 623, 174791, 3671, 529, 28594, 20623, 9935, 236764, 32801, 86236, 236764, 532, 5527, 4100, 529, 15632, 46768, 20623, 528, 32649, 827, 623, 12549, 236779, 5909, 1083, 623, 107367, 10522, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 150131, 37728, 12726, 42746, 827, 623, 6011, 1083, 623, 40219, 3671, 529, 43293, 20623, 34091, 607, 236743, 236778, 236771, 236778, 236812, 236772, 236778, 236771, 236778, 236810, 35719, 827, 623, 12549, 236779, 5909, 1083, 623, 19118, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236778, 236771, 25938, 1604, 623, 141880, 1083, 78493, 15081, 236779, 1201, 1083, 623, 44410, 497, 18711, 827, 623, 9707, 1083, 6610, 236778, 236819, 236761, 236819, 236819, 236786, 3704, 827, 623, 16518, 1083, 11058, 11942, 531, 784, 1237, 7248, 827, 623, 96579, 3956, 12496, 152254, 3714, 15081, 236779, 1201, 1083, 623, 107332, 161565, 827, 623, 9707, 1083, 6610, 236832, 236819, 236761, 236819, 236819, 236786, 3704, 827, 623, 16518, 1083, 11058, 3243, 18711, 4065, 827, 623, 128996, 15632, 46768, 7248, 827, 623, 33076, 1662, 4301, 15136, 827, 623, 53058, 5602, 1894, 1935, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 573, 5213, 31777, 41565, 17172, 76374, 1018, 2721, 580, 822, 2864, 236787, 108, 10354, 236743, 249214, 15632, 46768, 37728, 48993, 8708, 138, 107, 236772, 5213, 7396, 66515, 808, 72982, 46768, 37728, 48993, 236743, 236778, 236771, 236778, 236800, 236829, 138, 107, 236772, 5213, 24355, 66515, 61774, 3671, 529, 28594, 20623, 9935, 236764, 32801, 86236, 236764, 532, 5527, 4100, 529, 15632, 46768, 20623, 528, 32649, 236761, 138, 107, 236772, 5213, 11942, 16575, 66515, 808, 107367, 10522, 236829, 568, 68717, 13671, 23627, 236768, 138, 107, 236772, 5213, 9008, 42841, 66515, 6384, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 138, 108, 10354, 236743, 244906, 7067, 18326, 27708, 138, 107, 236772, 5213, 7396, 66515, 808, 150131, 37728, 12726, 42746, 236829, 138, 107, 138, 236772, 7423, 586, 15283, 568, 1904, 23627, 4354, 236768, 138, 107, 138, 236772, 12726, 3671, 529, 43293, 20623, 34091, 607, 236743, 236778, 236771, 236778, 236812, 236772, 236778, 236771, 236778, 236810, 35719, 138, 107, 138, 236772, 11662, 42841, 236787, 6243, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 138, 108, 10354, 236743, 242083, 78103, 48139, 573, 25567, 138055, 138, 107, 236909, 9620, 1109, 14584, 1109, 9533, 25772, 1109, 49308, 15632, 46768, 8708, 236881, 1109, 138, 107, 236909, 33129, 236909, 40328, 236909, 29118, 236909, 2819, 2819, 726, 236909, 138, 107, 236909, 5213, 44410, 497, 18711, 1018, 1109, 609, 236778, 236819, 236761, 236819, 236819, 236786, 3704, 1109, 753, 7423, 7248, 2802, 236820, 1457, 41465, 50292, 3956, 12496, 1109, 236743, 242523, 2301, 1109, 138, 107, 236909, 5213, 107332, 161565, 1018, 1109, 609, 236832, 236819, 236761, 236819, 236819, 236786, 3704, 1109, 753, 2343, 18711, 4065, 236820, 1457, 41465, 5213, 128996, 15632, 46768, 7248, 1018, 236820, 1457, 41465, 159722, 4301, 15136, 236820, 1457, 41465, 59193, 5602, 1894, 1109, 113452, 8438, 1109, 138, 108, 10354, 12067, 50228, 138, 107, 10081, 506, 15632, 46768, 2072, 563, 5213, 8960, 2487, 531, 34610, 125546, 611, 236858, 859, 1202, 506, 5213, 107332, 161565, 2731, 1018, 531, 2802, 625, 236761, 5978, 506, 5904, 3072, 4038, 236858, 236745, 3204, 1982, 23627, 9851, 236764, 611, 740, 236787, 138, 107, 236770, 236761, 5213, 11919, 1091, 5467, 66515, 870, 3906, 236940, 11324, 2677, 43201, 147691, 236761, 854, 5457, 36440, 236787, 3906, 236940, 11324, 2677, 43201, 147691, 236761, 854, 236768, 138, 107, 236778, 236761, 5213, 51455, 1003, 66515, 138, 107, 139, 236772, 2088, 531, 1519, 872, 573, 506, 32173, 2731, 138, 107, 139, 236772, 16019, 901, 2729, 7464, 13443, 653, 36498, 573, 39393, 138, 107, 139, 236772, 25275, 4889, 1003, 28233, 15136, 573, 15632, 46768, 24099, 11024, 138, 108, 38786, 611, 1133, 786, 531, 12262, 496, 5498, 26410, 4553, 531, 5039, 531, 1091, 236881, 103453, 106, 107, 105, 2364, 107, 10784, 236764, 5091, 12262, 614, 4553, 531, 47524, 17172, 76374, 10980, 1003, 506, 32173, 161565, 23627, 236761, 564, 236789, 236757, 496, 5117, 236764, 834, 564, 236789, 236753, 1133, 531, 1281, 768, 993, 236789, 236751, 496, 5117, 12223, 2487, 236761, 6542, 236764, 1451, 506, 2072, 3204, 15491, 11221, 573, 43887, 506, 15632, 46768, 236881, 1452, 776, 901, 735, 15136, 573, 506, 1791, 11024, 531, 1927, 1091, 2721, 580, 910, 1262, 236881, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 5707, 4553, 12262, 573, 611, 531, 5039, 531, 5213, 31777, 41565, 17172, 76374, 84750, 35979, 4865, 532, 21836, 672, 1131, 822, 4553, 4430, 236764, 532, 9883, 506, 34704, 524, 180399, 607, 822, 3577, 4889, 236787, 108, 7243, 108, 1018, 21288, 66515, 87101, 11968, 32173, 161565, 78103, 532, 15632, 46768, 8708, 20303, 138, 108, 31163, 47524, 17172, 76374, 10765, 236764, 138, 108, 236777, 4614, 672, 3618, 15249, 611, 1388, 236761, 3551, 1463, 563, 870, 11069, 10456, 7343, 1604, 532, 564, 236789, 236757, 496, 5117, 6995, 496, 7946, 531, 32649, 531, 10021, 506, 15632, 46768, 236761, 564, 3588, 3418, 822, 2544, 1343, 1041, 2958, 532, 1006, 1401, 7467, 528, 822, 5213, 107332, 161565, 23627, 1018, 573, 2802, 531, 506, 808, 72982, 46768, 37728, 48993, 236743, 236778, 236771, 236778, 236800, 236829, 2072, 236761, 138, 108, 2205, 496, 5117, 236764, 564, 236858, 236753, 1133, 531, 2679, 236787, 138, 107, 236770, 236761, 3574, 611, 2729, 1027, 5213, 12915, 36498, 1018, 580, 822, 23627, 6614, 236881, 138, 107, 236778, 236761, 14300, 506, 2072, 3204, 5213, 119653, 11221, 1018, 573, 43887, 506, 15632, 46768, 568, 236744, 236761, 236759, 1126, 5873, 7846, 236764, 7436, 11024, 573, 15491, 20625, 138, 107, 236800, 236761, 9354, 993, 5213, 1516, 236772, 27612, 15136, 1018, 573, 506, 1791, 24099, 11024, 528, 32649, 568, 236744, 236761, 236759, 1126, 2721, 580, 7606, 9935, 236764, 10321, 4588, 236764, 653, 28594, 27820, 20625, 138, 108, 236777, 236858, 236753, 14562, 14756, 1027, 4767, 4889, 1003, 506, 2072, 236858, 236751, 3004, 653, 23627, 1657, 236761, 10770, 611, 573, 822, 990, 532, 14739, 237028, 236777, 236858, 236757, 9775, 531, 3449, 699, 822, 19317, 236888, 138, 108, 17043, 23574, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 15755, 5853, 236764, 768, 11955, 236842, 138, 107, 236840, 11069, 19955, 15874, 236842, 138, 107, 236840, 11069, 23386, 9661, 236842, 138, 108, 7243, 108, 240732, 5213, 9272, 6555, 66515, 138, 107, 236772, 20373, 672, 4553, 531, 5213, 3906, 236940, 11324, 2677, 43201, 147691, 236761, 854, 1018, 138, 107, 236772, 2195, 11082, 8932, 2351, 236743, 236770, 236964, 236800, 1960, 2668, 138, 107, 236772, 1637, 611, 236858, 236753, 1133, 786, 531, 6253, 506, 15737, 568, 236744, 236761, 236759, 1126, 919, 10781, 236786, 55182, 236768, 653, 1138, 3530, 4889, 236764, 1164, 1531, 786, 1281, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236764, 8324, 236761, 564, 236789, 560, 1010, 1751, 495, 236789, 237028, 700, 10974, 9624, 2434, 236789, 236751, 1202, 495, 236789, 1070, 861, 13290, 236764, 532, 564, 96678, 2263, 8634, 2473, 12861, 528, 768, 4733, 1447, 236761, 28344, 611, 12270, 786, 496, 1694, 529, 236764, 1879, 236764, 236743, 236770, 236771, 4699, 1590, 528, 5054, 79878, 236881, 564, 236789, 236753, 1133, 531, 16909, 11184, 607, 756, 581, 1003, 36075, 495, 236789, 506, 12958, 236761, 1599, 1281, 236764, 506, 2712, 529, 1977, 600, 2979, 3399, 532, 496, 1535, 158080, 3925, 236761, 26660, 1027, 1595, 531, 8091, 600, 872, 3823, 236772, 5282, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 108957, 1083, 78493, 1201, 1083, 623, 236814, 43588, 56972, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 150143, 2263, 50067, 2338, 236743, 236770, 236819, 236828, 236810, 23179, 3714, 1201, 1083, 623, 46640, 5315, 5970, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 20690, 17463, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 11069, 12960, 236789, 236751, 4867, 8324, 23179, 3714, 1201, 1083, 623, 194618, 754, 32754, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 7940, 16351, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 23301, 236772, 16761, 2338, 236743, 236770, 236819, 236832, 236778, 23179, 3714, 1201, 1083, 623, 83587, 236762, 38476, 58074, 827, 623, 7720, 1083, 623, 236770, 236771, 236770, 74560, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 10936, 4677, 10077, 822, 1463, 23179, 3714, 1201, 1083, 623, 14950, 562, 14297, 21307, 827, 623, 7720, 1083, 623, 236778, 236771, 236778, 19380, 32973, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 199379, 529, 2263, 10974, 8568, 23179, 3714, 1201, 1083, 623, 818, 24369, 16402, 48022, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 7720, 1083, 623, 236800, 236771, 236800, 16402, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 77603, 522, 26601, 532, 7974, 2338, 236743, 236778, 236771, 236771, 236770, 23179, 3714, 1201, 1083, 623, 23243, 79878, 43835, 2372, 827, 623, 7720, 1083, 623, 236812, 236771, 236812, 59096, 16351, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 36161, 15281, 8904, 3905, 684, 3905, 23179, 3714, 1201, 1083, 623, 117676, 21174, 6308, 827, 623, 7720, 1083, 623, 236810, 236771, 236810, 6400, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 110362, 522, 1144, 11949, 1346, 23179, 3714, 1201, 1083, 623, 229641, 5841, 53592, 827, 623, 7720, 1083, 623, 236825, 236771, 236825, 171910, 167325, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 125110, 36665, 2338, 236743, 236770, 236819, 236819, 236800, 23179, 3714, 1201, 1083, 623, 818, 7672, 15895, 46768, 54189, 827, 623, 7720, 1083, 623, 236832, 236771, 236832, 24933, 3587, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 10936, 506, 2434, 2123, 73799, 1308, 13626, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 1694, 529, 236743, 236770, 236771, 2263, 8634, 528, 5054, 79878, 600, 2473, 577, 7467, 528, 11584, 822, 10974, 9624, 2434, 236787, 108, 236770, 236761, 5213, 236814, 43588, 56972, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236770, 236778, 236800, 6400, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 117724, 2263, 50067, 2338, 236743, 236770, 236819, 236828, 236810, 138, 108, 236778, 236761, 5213, 46640, 5315, 5970, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236812, 236810, 236825, 20690, 17463, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 5180, 12960, 236789, 236751, 4867, 8324, 138, 108, 236800, 236761, 5213, 194618, 754, 32754, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236832, 236828, 236819, 7940, 16351, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 12831, 236772, 16761, 2338, 236743, 236770, 236819, 236832, 236778, 138, 108, 236812, 236761, 5213, 83587, 236762, 38476, 58074, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236770, 236771, 236770, 74560, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 10603, 4677, 10077, 822, 1463, 138, 108, 236810, 236761, 5213, 14950, 562, 14297, 21307, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236778, 236771, 236778, 19380, 32973, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 30086, 529, 2263, 10974, 8568, 138, 108, 236825, 236761, 5213, 818, 24369, 16402, 62367, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236800, 236771, 236800, 16402, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 38039, 522, 26601, 532, 7974, 2338, 236743, 236778, 236771, 236771, 236770, 138, 108, 236832, 236761, 5213, 23243, 79878, 43835, 2372, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236812, 236771, 236812, 59096, 16351, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 16087, 15281, 8904, 3905, 684, 3905, 138, 108, 236828, 236761, 5213, 117676, 21174, 6308, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236810, 236771, 236810, 6400, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 178048, 1144, 11949, 1346, 138, 108, 236819, 236761, 5213, 229641, 5841, 53592, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236825, 236771, 236825, 171910, 167325, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 53592, 36665, 2338, 236743, 236770, 236819, 236819, 236800, 138, 108, 236770, 236771, 236761, 5213, 818, 7672, 15895, 46768, 54189, 1018, 138, 107, 140, 236829, 9604, 149681, 236743, 236832, 236771, 236832, 24933, 3587, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 140, 236829, 12345, 1257, 149681, 10603, 506, 2434, 2123, 73799, 1308, 13626, 138, 108, 9208, 8634, 37837, 3399, 21366, 532, 2263, 21077, 236764, 3043, 1091, 1822, 13176, 573, 54257, 18701, 236888, 236743, 249397, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8324, 236761, 564, 236789, 560, 1010, 1751, 495, 236789, 237028, 700, 10974, 9624, 2434, 236789, 236751, 1202, 495, 236789, 1070, 861, 13290, 236764, 532, 564, 96678, 2263, 8634, 2473, 12861, 528, 768, 4733, 1447, 236761, 28344, 611, 12270, 786, 496, 1694, 529, 236764, 1879, 236764, 236743, 236770, 236771, 4699, 1590, 528, 5054, 79878, 236881, 564, 236789, 236753, 1133, 531, 16909, 11184, 607, 756, 581, 1003, 36075, 495, 236789, 506, 12958, 236761, 1599, 1281, 236764, 506, 2712, 529, 1977, 600, 2979, 3399, 532, 496, 1535, 158080, 3925, 236761, 26660, 1027, 1595, 531, 8091, 600, 872, 3823, 236772, 5282, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 108957, 1083, 78493, 1201, 1083, 623, 236814, 43588, 56972, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 150143, 2263, 50067, 2338, 236743, 236770, 236819, 236828, 236810, 23179, 3714, 1201, 1083, 623, 46640, 5315, 5970, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 20690, 17463, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 11069, 12960, 236789, 236751, 4867, 8324, 23179, 3714, 1201, 1083, 623, 194618, 754, 32754, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 7940, 16351, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 23301, 236772, 16761, 2338, 236743, 236770, 236819, 236832, 236778, 23179, 3714, 1201, 1083, 623, 83587, 236762, 38476, 58074, 827, 623, 7720, 1083, 623, 236770, 236771, 236770, 74560, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 10936, 4677, 10077, 822, 1463, 23179, 3714, 1201, 1083, 623, 14950, 562, 14297, 21307, 827, 623, 7720, 1083, 623, 236778, 236771, 236778, 19380, 32973, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 199379, 529, 2263, 10974, 8568, 23179, 3714, 1201, 1083, 623, 818, 24369, 16402, 48022, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 7720, 1083, 623, 236800, 236771, 236800, 16402, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 77603, 522, 26601, 532, 7974, 2338, 236743, 236778, 236771, 236771, 236770, 23179, 3714, 1201, 1083, 623, 23243, 79878, 43835, 2372, 827, 623, 7720, 1083, 623, 236812, 236771, 236812, 59096, 16351, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 36161, 15281, 8904, 3905, 684, 3905, 23179, 3714, 1201, 1083, 623, 117676, 21174, 6308, 827, 623, 7720, 1083, 623, 236810, 236771, 236810, 6400, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 110362, 522, 1144, 11949, 1346, 23179, 3714, 1201, 1083, 623, 229641, 5841, 53592, 827, 623, 7720, 1083, 623, 236825, 236771, 236825, 171910, 167325, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 125110, 36665, 2338, 236743, 236770, 236819, 236819, 236800, 23179, 3714, 1201, 1083, 623, 818, 7672, 15895, 46768, 54189, 827, 623, 7720, 1083, 623, 236832, 236771, 236832, 24933, 3587, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 827, 623, 9088, 1257, 1083, 623, 10936, 506, 2434, 2123, 73799, 1308, 13626, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 1694, 529, 236743, 236770, 236771, 2263, 8634, 528, 5054, 79878, 600, 2473, 577, 7467, 528, 11584, 822, 10974, 9624, 2434, 236787, 108, 236770, 236761, 5213, 236814, 43588, 56972, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236770, 236778, 236800, 6400, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 117724, 2263, 50067, 2338, 236743, 236770, 236819, 236828, 236810, 138, 108, 236778, 236761, 5213, 46640, 5315, 5970, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236812, 236810, 236825, 20690, 17463, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 5180, 12960, 236789, 236751, 4867, 8324, 138, 108, 236800, 236761, 5213, 194618, 754, 32754, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236832, 236828, 236819, 7940, 16351, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 12831, 236772, 16761, 2338, 236743, 236770, 236819, 236832, 236778, 138, 108, 236812, 236761, 5213, 83587, 236762, 38476, 58074, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236770, 236771, 236770, 74560, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 10603, 4677, 10077, 822, 1463, 138, 108, 236810, 236761, 5213, 14950, 562, 14297, 21307, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236778, 236771, 236778, 19380, 32973, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 30086, 529, 2263, 10974, 8568, 138, 108, 236825, 236761, 5213, 818, 24369, 16402, 62367, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236800, 236771, 236800, 16402, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 38039, 522, 26601, 532, 7974, 2338, 236743, 236778, 236771, 236771, 236770, 138, 108, 236832, 236761, 5213, 23243, 79878, 43835, 2372, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236812, 236771, 236812, 59096, 16351, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 16087, 15281, 8904, 3905, 684, 3905, 138, 108, 236828, 236761, 5213, 117676, 21174, 6308, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236810, 236771, 236810, 6400, 842, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 178048, 1144, 11949, 1346, 138, 108, 236819, 236761, 5213, 229641, 5841, 53592, 1018, 138, 107, 139, 236829, 9604, 149681, 236743, 236825, 236771, 236825, 171910, 167325, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 139, 236829, 12345, 1257, 149681, 53592, 36665, 2338, 236743, 236770, 236819, 236819, 236800, 138, 108, 236770, 236771, 236761, 5213, 818, 7672, 15895, 46768, 54189, 1018, 138, 107, 140, 236829, 9604, 149681, 236743, 236832, 236771, 236832, 24933, 3587, 236764, 5054, 79878, 236764, 27608, 236743, 236832, 236810, 236819, 236832, 236778, 138, 107, 140, 236829, 12345, 1257, 149681, 10603, 506, 2434, 2123, 73799, 1308, 13626, 138, 108, 9208, 8634, 37837, 3399, 21366, 532, 2263, 21077, 236764, 3043, 1091, 1822, 13176, 573, 54257, 18701, 236888, 236743, 249397, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 6845, 768, 756, 100082, 680, 2149, 236789, 563, 496, 142193, 236761, 1637, 625, 236789, 236751, 711, 236764, 1594, 756, 236788, 64643, 236788, 33423, 236789, 2148, 236761, 1637, 600, 992, 20269, 236764, 16807, 756, 5988, 236746, 6748, 13472, 236764, 4024, 837, 236764, 768, 1027, 236764, 29790, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 2416, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 227147, 1083, 2416, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 227147, 1083, 2416, 236764, 623, 82894, 236779, 2383, 1083, 623, 5988, 236746, 827, 623, 13308, 1083, 623, 818, 2483, 756, 5988, 236746, 236789, 1677, 711, 1676, 506, 1638, 30708, 11297, 4279, 236823, 1606, 1056, 11337, 1624, 17511, 532, 1908, 236772, 29385, 508, 16242, 7579, 1781, 236783, 106, 107, 105, 4368, 107, 9336, 529, 506, 3847, 16587, 29790, 618, 180522, 84704, 1208, 10346, 1624, 236772, 46443, 532, 1908, 236772, 29385, 508, 16242, 2872, 12207, 236787, 108, 236770, 236761, 5213, 100082, 680, 2149, 1018, 16130, 3790, 496, 142193, 138, 107, 236778, 236761, 5213, 236788, 64643, 236788, 33423, 1018, 16130, 3790, 496, 142193, 138, 107, 236800, 236761, 5213, 5988, 236746, 1018, 16130, 3790, 496, 142193, 568, 34220, 563, 623, 4279, 236823, 827, 837, 1677, 711, 4241, 506, 3303, 2483, 2779, 531, 1624, 17511, 532, 2872, 1900, 769, 108, 3771, 4341, 180522, 84704, 964, 1765, 528, 506, 7501, 10418, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 6845, 768, 756, 100082, 680, 2149, 236789, 563, 496, 142193, 236761, 1637, 625, 236789, 236751, 711, 236764, 1594, 756, 236788, 64643, 236788, 33423, 236789, 2148, 236761, 1637, 600, 992, 20269, 236764, 16807, 756, 5988, 236746, 6748, 13472, 236764, 4024, 837, 236764, 768, 1027, 236764, 29790, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 2416, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 227147, 1083, 2416, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 227147, 1083, 2416, 236764, 623, 82894, 236779, 2383, 1083, 623, 5988, 236746, 827, 623, 13308, 1083, 623, 818, 2483, 756, 5988, 236746, 236789, 1677, 711, 1676, 506, 1638, 30708, 11297, 4279, 236823, 1606, 1056, 11337, 1624, 17511, 532, 1908, 236772, 29385, 508, 16242, 7579, 1781, 236783, 106, 107, 105, 4368, 107, 9336, 529, 506, 3847, 16587, 29790, 618, 180522, 84704, 1208, 10346, 1624, 236772, 46443, 532, 1908, 236772, 29385, 508, 16242, 2872, 12207, 236787, 108, 236770, 236761, 5213, 100082, 680, 2149, 1018, 16130, 3790, 496, 142193, 138, 107, 236778, 236761, 5213, 236788, 64643, 236788, 33423, 1018, 16130, 3790, 496, 142193, 138, 107, 236800, 236761, 5213, 5988, 236746, 1018, 16130, 3790, 496, 142193, 568, 34220, 563, 623, 4279, 236823, 827, 837, 1677, 711, 4241, 506, 3303, 2483, 2779, 531, 1624, 17511, 532, 2872, 1900, 769, 108, 3771, 4341, 180522, 84704, 964, 1765, 528, 506, 7501, 10418, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 13706, 532, 1202, 1601, 607, 1806, 2432, 236761, 5315, 236764, 1161, 15874, 114244, 26163, 531, 974, 506, 4453, 3421, 529, 506, 2111, 198592, 528, 13706, 236761, 4298, 236764, 2426, 23576, 236779, 502, 236779, 7125, 573, 600, 3421, 580, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 531, 5608, 5646, 236761, 13472, 236764, 1586, 974, 236779, 9341, 236779, 228024, 573, 20736, 3541, 600, 2433, 236761, 1637, 1027, 5904, 2246, 20269, 236764, 6253, 6137, 532, 2056, 1570, 236761, 9187, 607, 506, 3421, 38485, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 78493, 7720, 1083, 3714, 61332, 1083, 623, 1980, 198592, 236764, 83610, 1162, 2111, 77689, 236748, 236764, 236743, 236771, 236771, 236770, 236828, 236812, 13706, 236764, 11702, 827, 623, 30419, 1083, 623, 236791, 57671, 1162, 2111, 77689, 236748, 827, 623, 13319, 1083, 623, 97375, 827, 623, 157350, 236779, 3970, 1083, 623, 236771, 236771, 236770, 236828, 236812, 827, 623, 14801, 1083, 623, 65859, 23179, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236812, 236770, 236761, 236828, 236819, 236771, 236778, 236770, 236771, 236778, 236764, 623, 41713, 1083, 236743, 236770, 236778, 236761, 236812, 236819, 236778, 236778, 236800, 236771, 236819, 5237, 3714, 7720, 1083, 3714, 61332, 1083, 623, 47477, 2111, 198592, 236764, 46117, 1001, 5054, 178968, 236764, 236743, 236771, 236771, 236770, 236828, 236812, 13706, 236764, 11702, 827, 623, 30419, 1083, 623, 66170, 1001, 5054, 178968, 827, 623, 13319, 1083, 623, 97375, 827, 623, 157350, 236779, 3970, 1083, 623, 236771, 236771, 236770, 236828, 236812, 827, 623, 14801, 1083, 623, 65859, 23179, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236812, 236770, 236761, 236828, 236819, 236771, 236770, 236819, 236828, 236764, 623, 41713, 1083, 236743, 236770, 236778, 236761, 236812, 236819, 236800, 236771, 236832, 236812, 1807, 21111, 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, 68520, 1083, 623, 46456, 1548, 236764, 2506, 2483, 827, 623, 8938, 1083, 623, 46456, 1548, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 7125, 1083, 3714, 68520, 1083, 236743, 236770, 236778, 236761, 236812, 236819, 236778, 236778, 236800, 236771, 236819, 236764, 623, 8938, 1083, 236743, 236812, 236770, 236761, 236828, 236819, 236771, 236778, 236770, 236771, 236778, 1263, 623, 8162, 1431, 1083, 78493, 2084, 1083, 623, 22630, 1363, 112109, 827, 623, 2861, 1083, 236743, 236800, 236764, 623, 127243, 1083, 623, 26834, 23179, 3714, 2084, 1083, 623, 236847, 25484, 1929, 827, 623, 2861, 1083, 236743, 236770, 236764, 623, 127243, 1083, 623, 49074, 25938, 1604, 623, 89653, 236779, 2662, 1083, 236743, 236832, 236761, 236778, 236764, 623, 85038, 567, 1083, 623, 56720, 3867, 47989, 236761, 39874, 4813, 4106, 1308, 4996, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 228024, 1083, 78493, 37337, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236810, 827, 623, 7777, 1083, 623, 236810, 236772, 7991, 8217, 3541, 2111, 198592, 607, 13932, 5012, 827, 623, 9707, 1083, 236743, 236770, 236812, 236819, 236761, 236819, 236819, 236764, 623, 70343, 1083, 623, 236778, 236771, 236908, 1135, 827, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236770, 23179, 3714, 37337, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236825, 827, 623, 7777, 1083, 623, 120392, 16848, 607, 2111, 198592, 1927, 827, 623, 9707, 1083, 236743, 236778, 236812, 236819, 236761, 236819, 236819, 236764, 623, 70343, 1083, 623, 236770, 236810, 236908, 1135, 827, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236778, 23179, 3714, 37337, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236832, 827, 623, 7777, 1083, 623, 71653, 236772, 18865, 46155, 8217, 827, 623, 9707, 1083, 236743, 236832, 236819, 236761, 236819, 236819, 236764, 623, 70343, 1083, 623, 236770, 236771, 236908, 1135, 827, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236800, 23179, 3714, 37337, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236828, 827, 623, 7777, 1083, 623, 23301, 8289, 607, 2196, 32735, 827, 623, 9707, 1083, 236743, 236770, 236828, 236819, 236761, 236819, 236819, 236764, 623, 70343, 1083, 623, 236778, 236810, 236908, 1135, 827, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236812, 23179, 3714, 37337, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236819, 827, 623, 7777, 1083, 623, 131318, 8217, 607, 66700, 38506, 827, 623, 9707, 1083, 236743, 236778, 236770, 236819, 236761, 236819, 236819, 236764, 623, 70343, 1083, 623, 236770, 236828, 236908, 1135, 827, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236810, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236810, 236764, 623, 10618, 1083, 623, 202796, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 822, 7946, 531, 13706, 236787, 108, 236770, 236761, 5213, 1980, 198592, 15874, 66515, 138, 107, 139, 236829, 236791, 57671, 1162, 2111, 77689, 236748, 236764, 236743, 236771, 236771, 236770, 236828, 236812, 13706, 236764, 11702, 236829, 138, 107, 139, 58713, 236787, 236743, 236812, 236770, 236761, 236828, 236819, 236771, 236778, 236770, 236771, 236778, 236764, 236743, 236770, 236778, 236761, 236812, 236819, 236778, 236778, 236800, 236771, 236819, 138, 108, 236778, 236761, 5213, 132998, 5774, 568, 36817, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 62902, 236787, 138, 107, 139, 236772, 122005, 112109, 236787, 236743, 236800, 29135, 568, 26834, 33326, 236768, 138, 107, 139, 236772, 782, 25484, 1929, 236787, 236743, 236770, 10530, 568, 49074, 33326, 236768, 138, 107, 139, 1018, 61569, 13291, 66515, 236743, 236832, 236761, 236778, 236786, 236770, 236771, 138, 107, 139, 1018, 211199, 66515, 38215, 3867, 47989, 236761, 39874, 4813, 4106, 1308, 4996, 236761, 138, 108, 236800, 236761, 5213, 54347, 88531, 98733, 66515, 138, 107, 139, 236772, 236743, 253251, 5213, 236810, 236772, 7991, 8217, 1018, 607, 13932, 236787, 11361, 236770, 236812, 236819, 236761, 236819, 236819, 568, 236778, 236771, 236908, 1135, 236768, 138, 107, 141, 236840, 2039, 37936, 5457, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236770, 236768, 138, 107, 139, 236772, 236743, 252193, 5213, 120392, 16848, 1018, 607, 2111, 198592, 1927, 236787, 11361, 236778, 236812, 236819, 236761, 236819, 236819, 568, 236770, 236810, 236908, 1135, 236768, 138, 107, 141, 236840, 2039, 37936, 5457, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236778, 236768, 138, 107, 139, 236772, 236743, 246384, 5213, 71653, 46155, 8217, 66515, 11361, 236832, 236819, 236761, 236819, 236819, 568, 236770, 236771, 236908, 1135, 236768, 138, 107, 141, 236840, 2039, 37936, 5457, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236800, 236768, 138, 107, 139, 236772, 236743, 248748, 5213, 23301, 8289, 66515, 11361, 236770, 236828, 236819, 236761, 236819, 236819, 568, 236778, 236810, 236908, 1135, 236764, 2196, 32735, 236768, 138, 107, 141, 236840, 2039, 37936, 5457, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236812, 236768, 138, 107, 139, 236772, 236743, 252432, 238178, 5213, 131318, 8217, 1018, 607, 66700, 38506, 236787, 11361, 236778, 236770, 236819, 236761, 236819, 236819, 568, 236770, 236828, 236908, 1135, 236768, 138, 107, 141, 236840, 2039, 37936, 5457, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236810, 236768, 138, 108, 3243, 15633, 6555, 964, 7723, 10428, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 13706, 532, 1202, 1601, 607, 1806, 2432, 236761, 5315, 236764, 1161, 15874, 114244, 26163, 531, 974, 506, 4453, 3421, 529, 506, 2111, 198592, 528, 13706, 236761, 4298, 236764, 2426, 23576, 236779, 502, 236779, 7125, 573, 600, 3421, 580, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 531, 5608, 5646, 236761, 13472, 236764, 1586, 974, 236779, 9341, 236779, 228024, 573, 20736, 3541, 600, 2433, 236761, 1637, 1027, 5904, 2246, 20269, 236764, 6253, 6137, 532, 2056, 1570, 236761, 9187, 607, 506, 3421, 38485, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 78493, 7720, 1083, 3714, 61332, 1083, 623, 1980, 198592, 236764, 83610, 1162, 2111, 77689, 236748, 236764, 236743, 236771, 236771, 236770, 236828, 236812, 13706, 236764, 11702, 827, 623, 30419, 1083, 623, 236791, 57671, 1162, 2111, 77689, 236748, 827, 623, 13319, 1083, 623, 97375, 827, 623, 157350, 236779, 3970, 1083, 623, 236771, 236771, 236770, 236828, 236812, 827, 623, 14801, 1083, 623, 65859, 23179, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236812, 236770, 236761, 236828, 236819, 236771, 236778, 236770, 236771, 236778, 236764, 623, 41713, 1083, 236743, 236770, 236778, 236761, 236812, 236819, 236778, 236778, 236800, 236771, 236819, 5237, 3714, 7720, 1083, 3714, 61332, 1083, 623, 47477, 2111, 198592, 236764, 46117, 1001, 5054, 178968, 236764, 236743, 236771, 236771, 236770, 236828, 236812, 13706, 236764, 11702, 827, 623, 30419, 1083, 623, 66170, 1001, 5054, 178968, 827, 623, 13319, 1083, 623, 97375, 827, 623, 157350, 236779, 3970, 1083, 623, 236771, 236771, 236770, 236828, 236812, 827, 623, 14801, 1083, 623, 65859, 23179, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236812, 236770, 236761, 236828, 236819, 236771, 236770, 236819, 236828, 236764, 623, 41713, 1083, 236743, 236770, 236778, 236761, 236812, 236819, 236800, 236771, 236832, 236812, 1807, 21111, 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, 68520, 1083, 623, 46456, 1548, 236764, 2506, 2483, 827, 623, 8938, 1083, 623, 46456, 1548, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 7125, 1083, 3714, 68520, 1083, 236743, 236770, 236778, 236761, 236812, 236819, 236778, 236778, 236800, 236771, 236819, 236764, 623, 8938, 1083, 236743, 236812, 236770, 236761, 236828, 236819, 236771, 236778, 236770, 236771, 236778, 1263, 623, 8162, 1431, 1083, 78493, 2084, 1083, 623, 22630, 1363, 112109, 827, 623, 2861, 1083, 236743, 236800, 236764, 623, 127243, 1083, 623, 26834, 23179, 3714, 2084, 1083, 623, 236847, 25484, 1929, 827, 623, 2861, 1083, 236743, 236770, 236764, 623, 127243, 1083, 623, 49074, 25938, 1604, 623, 89653, 236779, 2662, 1083, 236743, 236832, 236761, 236778, 236764, 623, 85038, 567, 1083, 623, 56720, 3867, 47989, 236761, 39874, 4813, 4106, 1308, 4996, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 228024, 1083, 78493, 37337, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236810, 827, 623, 7777, 1083, 623, 236810, 236772, 7991, 8217, 3541, 2111, 198592, 607, 13932, 5012, 827, 623, 9707, 1083, 236743, 236770, 236812, 236819, 236761, 236819, 236819, 236764, 623, 70343, 1083, 623, 236778, 236771, 236908, 1135, 827, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236770, 23179, 3714, 37337, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236825, 827, 623, 7777, 1083, 623, 120392, 16848, 607, 2111, 198592, 1927, 827, 623, 9707, 1083, 236743, 236778, 236812, 236819, 236761, 236819, 236819, 236764, 623, 70343, 1083, 623, 236770, 236810, 236908, 1135, 827, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236778, 23179, 3714, 37337, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236832, 827, 623, 7777, 1083, 623, 71653, 236772, 18865, 46155, 8217, 827, 623, 9707, 1083, 236743, 236832, 236819, 236761, 236819, 236819, 236764, 623, 70343, 1083, 623, 236770, 236771, 236908, 1135, 827, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236800, 23179, 3714, 37337, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236828, 827, 623, 7777, 1083, 623, 23301, 8289, 607, 2196, 32735, 827, 623, 9707, 1083, 236743, 236770, 236828, 236819, 236761, 236819, 236819, 236764, 623, 70343, 1083, 623, 236778, 236810, 236908, 1135, 827, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236812, 23179, 3714, 37337, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236819, 827, 623, 7777, 1083, 623, 131318, 8217, 607, 66700, 38506, 827, 623, 9707, 1083, 236743, 236778, 236770, 236819, 236761, 236819, 236819, 236764, 623, 70343, 1083, 623, 236770, 236828, 236908, 1135, 827, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236810, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236810, 236764, 623, 10618, 1083, 623, 202796, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 822, 7946, 531, 13706, 236787, 108, 236770, 236761, 5213, 1980, 198592, 15874, 66515, 138, 107, 139, 236829, 236791, 57671, 1162, 2111, 77689, 236748, 236764, 236743, 236771, 236771, 236770, 236828, 236812, 13706, 236764, 11702, 236829, 138, 107, 139, 58713, 236787, 236743, 236812, 236770, 236761, 236828, 236819, 236771, 236778, 236770, 236771, 236778, 236764, 236743, 236770, 236778, 236761, 236812, 236819, 236778, 236778, 236800, 236771, 236819, 138, 108, 236778, 236761, 5213, 132998, 5774, 568, 36817, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 62902, 236787, 138, 107, 139, 236772, 122005, 112109, 236787, 236743, 236800, 29135, 568, 26834, 33326, 236768, 138, 107, 139, 236772, 782, 25484, 1929, 236787, 236743, 236770, 10530, 568, 49074, 33326, 236768, 138, 107, 139, 1018, 61569, 13291, 66515, 236743, 236832, 236761, 236778, 236786, 236770, 236771, 138, 107, 139, 1018, 211199, 66515, 38215, 3867, 47989, 236761, 39874, 4813, 4106, 1308, 4996, 236761, 138, 108, 236800, 236761, 5213, 54347, 88531, 98733, 66515, 138, 107, 139, 236772, 236743, 253251, 5213, 236810, 236772, 7991, 8217, 1018, 607, 13932, 236787, 11361, 236770, 236812, 236819, 236761, 236819, 236819, 568, 236778, 236771, 236908, 1135, 236768, 138, 107, 141, 236840, 2039, 37936, 5457, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236770, 236768, 138, 107, 139, 236772, 236743, 252193, 5213, 120392, 16848, 1018, 607, 2111, 198592, 1927, 236787, 11361, 236778, 236812, 236819, 236761, 236819, 236819, 568, 236770, 236810, 236908, 1135, 236768, 138, 107, 141, 236840, 2039, 37936, 5457, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236778, 236768, 138, 107, 139, 236772, 236743, 246384, 5213, 71653, 46155, 8217, 66515, 11361, 236832, 236819, 236761, 236819, 236819, 568, 236770, 236771, 236908, 1135, 236768, 138, 107, 141, 236840, 2039, 37936, 5457, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236800, 236768, 138, 107, 139, 236772, 236743, 248748, 5213, 23301, 8289, 66515, 11361, 236770, 236828, 236819, 236761, 236819, 236819, 568, 236778, 236810, 236908, 1135, 236764, 2196, 32735, 236768, 138, 107, 141, 236840, 2039, 37936, 5457, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236812, 236768, 138, 107, 139, 236772, 236743, 252432, 238178, 5213, 131318, 8217, 1018, 607, 66700, 38506, 236787, 11361, 236778, 236770, 236819, 236761, 236819, 236819, 568, 236770, 236828, 236908, 1135, 236768, 138, 107, 141, 236840, 2039, 37936, 5457, 2574, 1411, 8358, 236761, 854, 236786, 37337, 236810, 236768, 138, 108, 3243, 15633, 6555, 964, 7723, 10428, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 11337, 23324, 528, 496, 2544, 2760, 43804, 222680, 23566, 600, 56017, 528, 13726, 3788, 5417, 236764, 532, 564, 1461, 531, 3050, 1061, 30627, 3736, 236761, 28344, 611, 2426, 506, 3493, 236772, 3704, 4398, 30627, 6422, 573, 672, 2544, 236881, 564, 236789, 236757, 711, 2889, 1003, 506, 4453, 2862, 5404, 653, 4128, 236764, 840, 564, 1751, 625, 236789, 236751, 9456, 580, 506, 188196, 1208, 496, 84390, 1133, 86910, 236799, 653, 86910, 236917, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 21534, 236799, 827, 623, 13647, 1083, 623, 3118, 827, 623, 21716, 236779, 3704, 236779, 18553, 236779, 167648, 236779, 55747, 1083, 236743, 236778, 236761, 236812, 236832, 236783, 106, 107, 105, 4368, 107, 818, 3493, 236772, 3704, 4398, 30627, 6422, 573, 43804, 222680, 23566, 568, 702, 35245, 84390, 236787, 5213, 21534, 236799, 125546, 4128, 236787, 5213, 3118, 119542, 563, 5213, 236778, 236761, 236812, 236832, 236908, 84750, 1174, 12205, 506, 2544, 815, 41063, 8323, 614, 4398, 529, 236743, 236778, 236761, 236812, 236832, 236908, 24321, 531, 34676, 4323, 40732, 1024, 506, 3068, 3493, 1518, 236761, 236743, 108, 1018, 10282, 66515, 1174, 1354, 34266, 506, 4338, 84390, 5404, 563, 5213, 21534, 236799, 84750, 1637, 506, 2544, 37707, 1208, 496, 1607, 5404, 568, 236744, 236761, 236759, 1126, 86910, 236917, 779, 5091, 37386, 236764, 532, 564, 740, 544, 4256, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 3671, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 11337, 23324, 528, 496, 2544, 2760, 43804, 222680, 23566, 600, 56017, 528, 13726, 3788, 5417, 236764, 532, 564, 1461, 531, 3050, 1061, 30627, 3736, 236761, 28344, 611, 2426, 506, 3493, 236772, 3704, 4398, 30627, 6422, 573, 672, 2544, 236881, 564, 236789, 236757, 711, 2889, 1003, 506, 4453, 2862, 5404, 653, 4128, 236764, 840, 564, 1751, 625, 236789, 236751, 9456, 580, 506, 188196, 1208, 496, 84390, 1133, 86910, 236799, 653, 86910, 236917, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 21534, 236799, 827, 623, 13647, 1083, 623, 3118, 827, 623, 21716, 236779, 3704, 236779, 18553, 236779, 167648, 236779, 55747, 1083, 236743, 236778, 236761, 236812, 236832, 236783, 106, 107, 105, 4368, 107, 818, 3493, 236772, 3704, 4398, 30627, 6422, 573, 43804, 222680, 23566, 568, 702, 35245, 84390, 236787, 5213, 21534, 236799, 125546, 4128, 236787, 5213, 3118, 119542, 563, 5213, 236778, 236761, 236812, 236832, 236908, 84750, 1174, 12205, 506, 2544, 815, 41063, 8323, 614, 4398, 529, 236743, 236778, 236761, 236812, 236832, 236908, 24321, 531, 34676, 4323, 40732, 1024, 506, 3068, 3493, 1518, 236761, 236743, 108, 1018, 10282, 66515, 1174, 1354, 34266, 506, 4338, 84390, 5404, 563, 5213, 21534, 236799, 84750, 1637, 506, 2544, 37707, 1208, 496, 1607, 5404, 568, 236744, 236761, 236759, 1126, 86910, 236917, 779, 5091, 37386, 236764, 532, 564, 740, 544, 4256, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 3671, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 496, 3399, 18669, 580, 13726, 49115, 10154, 600, 48110, 1873, 10022, 1262, 236761, 5315, 236764, 2426, 4185, 10022, 2352, 4668, 573, 4803, 15067, 21574, 17861, 236761, 4298, 236764, 33205, 3530, 2263, 10022, 1262, 699, 506, 40288, 38580, 6007, 568, 6265, 5853, 236787, 8886, 236772, 2582, 236772, 106924, 236768, 531, 3050, 10969, 8991, 236761, 1637, 600, 3738, 563, 47713, 653, 815, 951, 4803, 12496, 236764, 1161, 506, 3148, 529, 40288, 29570, 6498, 14629, 568, 6265, 5853, 236787, 84168, 236772, 2807, 236794, 236772, 106924, 236768, 5205, 236761, 114815, 672, 1938, 531, 5840, 1806, 83979, 10022, 236772, 619, 182436, 49115, 8403, 573, 1023, 2433, 236761, 1637, 1027, 5904, 2246, 20269, 236764, 29596, 786, 532, 3600, 9302, 7021, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66518, 236779, 12959, 1083, 78493, 3250, 1083, 623, 18085, 27213, 82513, 67296, 501, 68660, 71509, 236751, 236764, 7866, 8708, 92843, 236751, 827, 623, 6265, 1083, 623, 78692, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 138827, 11139, 12809, 531, 10022, 2352, 659, 14260, 3629, 14836, 31164, 528, 3262, 15078, 9576, 236764, 2440, 4695, 5711, 532, 3879, 221476, 3714, 3250, 1083, 623, 4199, 6498, 56217, 173314, 236772, 1988, 13040, 158110, 65600, 7768, 6890, 684, 236743, 236812, 236771, 70887, 623, 6265, 1083, 623, 46797, 236761, 854, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236770, 236778, 827, 623, 6011, 1083, 623, 14696, 45628, 12269, 20749, 532, 62456, 23207, 15128, 9806, 35691, 528, 99767, 3439, 236764, 9722, 4614, 573, 10022, 236772, 204192, 9576, 221476, 3714, 3250, 1083, 623, 236836, 236761, 236773, 236761, 5570, 529, 22682, 185131, 609, 236810, 236771, 236771, 236792, 32319, 236772, 35153, 83545, 40434, 827, 623, 6265, 1083, 623, 70825, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 90147, 795, 1894, 13726, 10154, 2440, 96364, 9295, 3997, 532, 18510, 33314, 3797, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6265, 236779, 547, 1083, 623, 1425, 236772, 2582, 236772, 106924, 827, 623, 27083, 236779, 6010, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 24948, 1083, 78493, 3250, 1083, 623, 236778, 236771, 236778, 236810, 40288, 58078, 20273, 42746, 236787, 173314, 129948, 62382, 827, 623, 6011, 1083, 623, 8410, 524, 236743, 236770, 236810, 236908, 9095, 528, 6247, 37494, 7087, 34066, 33314, 6995, 827, 623, 2883, 1083, 623, 2574, 1411, 516, 236772, 916, 236772, 31627, 236761, 12561, 236786, 236778, 236771, 236778, 236810, 236772, 236753, 5310, 236772, 224845, 23179, 3714, 3250, 1083, 623, 150008, 5554, 45325, 8708, 753, 19037, 236743, 236812, 568, 4722, 14133, 22730, 623, 6011, 1083, 623, 99969, 4217, 4535, 16466, 684, 236743, 236828, 236908, 1051, 236772, 1749, 236772, 3704, 236793, 37414, 2890, 98389, 827, 623, 2883, 1083, 623, 2574, 1411, 516, 236772, 916, 236772, 31627, 236761, 12561, 236786, 49156, 236772, 16602, 236772, 236809, 236770, 25938, 1604, 623, 66518, 236779, 1516, 1083, 3714, 27495, 236779, 58043, 1083, 623, 236778, 236761, 236770, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 3553, 1024, 236743, 236770, 236771, 1518, 827, 623, 44340, 236779, 20001, 1083, 623, 132368, 28590, 607, 236743, 236800, 236771, 236908, 919, 18487, 6927, 4749, 827, 623, 85038, 847, 1083, 11058, 78109, 127979, 45248, 3797, 827, 623, 235475, 29811, 236772, 176270, 11363, 3732, 21215, 827, 623, 111052, 34993, 28009, 1716, 15940, 573, 35163, 2256, 1935, 1807, 106, 107, 105, 4368, 107, 1018, 46640, 39405, 91330, 236787, 32319, 236772, 1988, 182436, 166858, 57939, 573, 40288, 1018, 108, 236770, 236761, 5213, 45060, 7632, 228441, 13000, 1018, 138, 107, 139, 236829, 11355, 63508, 40288, 236789, 236751, 27712, 236743, 236770, 236810, 236908, 9095, 528, 6247, 37494, 568, 1425, 236772, 2582, 236772, 106924, 236768, 100146, 607, 4185, 15067, 529, 29811, 18506, 580, 17861, 236761, 138, 107, 139, 236829, 4396, 63508, 18471, 6927, 42562, 532, 130399, 67949, 531, 12203, 18487, 6927, 4749, 568, 236800, 236771, 236908, 3553, 16445, 236768, 532, 4762, 1813, 573, 6299, 13443, 236761, 108, 236778, 236761, 5213, 236796, 5310, 236772, 236774, 34819, 638, 26203, 44812, 833, 20864, 14392, 2974, 1018, 138, 107, 139, 236829, 11355, 63508, 12263, 9295, 2404, 7248, 1407, 45261, 10293, 4217, 236764, 1651, 4185, 2958, 20756, 29811, 236772, 36954, 20859, 236789, 6417, 236761, 138, 107, 139, 236829, 4396, 63508, 137615, 11363, 5557, 1133, 591, 217340, 616, 532, 5702, 41697, 16195, 2890, 20859, 568, 236744, 236761, 236759, 1126, 83838, 236768, 531, 11015, 20511, 236764, 6439, 35163, 236764, 532, 39844, 9295, 10293, 4217, 236761, 108, 236800, 236761, 5213, 1584, 700, 60534, 1716, 15940, 573, 212044, 9463, 1018, 138, 107, 139, 236829, 11355, 63508, 8886, 236772, 2582, 236772, 106924, 1262, 58811, 35163, 13682, 699, 123892, 31632, 236764, 532, 4185, 10022, 236772, 32306, 19898, 56856, 9295, 11646, 236761, 138, 107, 139, 236829, 4396, 63508, 15748, 28009, 1716, 15940, 3008, 2135, 14453, 532, 38414, 531, 25573, 25591, 236764, 14051, 46327, 236764, 532, 2619, 4719, 116386, 1090, 573, 176728, 236761, 108, 1018, 136983, 45600, 66515, 138, 107, 236772, 52971, 127979, 45248, 10884, 1699, 40399, 5417, 236761, 138, 107, 236772, 50275, 24874, 573, 11363, 29811, 236772, 176270, 6485, 236761, 138, 107, 236772, 44300, 236772, 498, 28009, 1716, 572, 29080, 3008, 496, 2263, 3399, 7972, 10134, 236761, 138, 108, 1018, 19213, 66515, 19148, 8886, 236772, 2582, 236772, 106924, 236858, 236751, 9295, 2404, 2072, 532, 72304, 236858, 236751, 32319, 236772, 35153, 83545, 11213, 7760, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 1239, 3342, 236888, 178829, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 496, 3399, 18669, 580, 13726, 49115, 10154, 600, 48110, 1873, 10022, 1262, 236761, 5315, 236764, 2426, 4185, 10022, 2352, 4668, 573, 4803, 15067, 21574, 17861, 236761, 4298, 236764, 33205, 3530, 2263, 10022, 1262, 699, 506, 40288, 38580, 6007, 568, 6265, 5853, 236787, 8886, 236772, 2582, 236772, 106924, 236768, 531, 3050, 10969, 8991, 236761, 1637, 600, 3738, 563, 47713, 653, 815, 951, 4803, 12496, 236764, 1161, 506, 3148, 529, 40288, 29570, 6498, 14629, 568, 6265, 5853, 236787, 84168, 236772, 2807, 236794, 236772, 106924, 236768, 5205, 236761, 114815, 672, 1938, 531, 5840, 1806, 83979, 10022, 236772, 619, 182436, 49115, 8403, 573, 1023, 2433, 236761, 1637, 1027, 5904, 2246, 20269, 236764, 29596, 786, 532, 3600, 9302, 7021, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66518, 236779, 12959, 1083, 78493, 3250, 1083, 623, 18085, 27213, 82513, 67296, 501, 68660, 71509, 236751, 236764, 7866, 8708, 92843, 236751, 827, 623, 6265, 1083, 623, 78692, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 138827, 11139, 12809, 531, 10022, 2352, 659, 14260, 3629, 14836, 31164, 528, 3262, 15078, 9576, 236764, 2440, 4695, 5711, 532, 3879, 221476, 3714, 3250, 1083, 623, 4199, 6498, 56217, 173314, 236772, 1988, 13040, 158110, 65600, 7768, 6890, 684, 236743, 236812, 236771, 70887, 623, 6265, 1083, 623, 46797, 236761, 854, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236770, 236778, 827, 623, 6011, 1083, 623, 14696, 45628, 12269, 20749, 532, 62456, 23207, 15128, 9806, 35691, 528, 99767, 3439, 236764, 9722, 4614, 573, 10022, 236772, 204192, 9576, 221476, 3714, 3250, 1083, 623, 236836, 236761, 236773, 236761, 5570, 529, 22682, 185131, 609, 236810, 236771, 236771, 236792, 32319, 236772, 35153, 83545, 40434, 827, 623, 6265, 1083, 623, 70825, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 90147, 795, 1894, 13726, 10154, 2440, 96364, 9295, 3997, 532, 18510, 33314, 3797, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6265, 236779, 547, 1083, 623, 1425, 236772, 2582, 236772, 106924, 827, 623, 27083, 236779, 6010, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 24948, 1083, 78493, 3250, 1083, 623, 236778, 236771, 236778, 236810, 40288, 58078, 20273, 42746, 236787, 173314, 129948, 62382, 827, 623, 6011, 1083, 623, 8410, 524, 236743, 236770, 236810, 236908, 9095, 528, 6247, 37494, 7087, 34066, 33314, 6995, 827, 623, 2883, 1083, 623, 2574, 1411, 516, 236772, 916, 236772, 31627, 236761, 12561, 236786, 236778, 236771, 236778, 236810, 236772, 236753, 5310, 236772, 224845, 23179, 3714, 3250, 1083, 623, 150008, 5554, 45325, 8708, 753, 19037, 236743, 236812, 568, 4722, 14133, 22730, 623, 6011, 1083, 623, 99969, 4217, 4535, 16466, 684, 236743, 236828, 236908, 1051, 236772, 1749, 236772, 3704, 236793, 37414, 2890, 98389, 827, 623, 2883, 1083, 623, 2574, 1411, 516, 236772, 916, 236772, 31627, 236761, 12561, 236786, 49156, 236772, 16602, 236772, 236809, 236770, 25938, 1604, 623, 66518, 236779, 1516, 1083, 3714, 27495, 236779, 58043, 1083, 623, 236778, 236761, 236770, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 3553, 1024, 236743, 236770, 236771, 1518, 827, 623, 44340, 236779, 20001, 1083, 623, 132368, 28590, 607, 236743, 236800, 236771, 236908, 919, 18487, 6927, 4749, 827, 623, 85038, 847, 1083, 11058, 78109, 127979, 45248, 3797, 827, 623, 235475, 29811, 236772, 176270, 11363, 3732, 21215, 827, 623, 111052, 34993, 28009, 1716, 15940, 573, 35163, 2256, 1935, 1807, 106, 107, 105, 4368, 107, 1018, 46640, 39405, 91330, 236787, 32319, 236772, 1988, 182436, 166858, 57939, 573, 40288, 1018, 108, 236770, 236761, 5213, 45060, 7632, 228441, 13000, 1018, 138, 107, 139, 236829, 11355, 63508, 40288, 236789, 236751, 27712, 236743, 236770, 236810, 236908, 9095, 528, 6247, 37494, 568, 1425, 236772, 2582, 236772, 106924, 236768, 100146, 607, 4185, 15067, 529, 29811, 18506, 580, 17861, 236761, 138, 107, 139, 236829, 4396, 63508, 18471, 6927, 42562, 532, 130399, 67949, 531, 12203, 18487, 6927, 4749, 568, 236800, 236771, 236908, 3553, 16445, 236768, 532, 4762, 1813, 573, 6299, 13443, 236761, 108, 236778, 236761, 5213, 236796, 5310, 236772, 236774, 34819, 638, 26203, 44812, 833, 20864, 14392, 2974, 1018, 138, 107, 139, 236829, 11355, 63508, 12263, 9295, 2404, 7248, 1407, 45261, 10293, 4217, 236764, 1651, 4185, 2958, 20756, 29811, 236772, 36954, 20859, 236789, 6417, 236761, 138, 107, 139, 236829, 4396, 63508, 137615, 11363, 5557, 1133, 591, 217340, 616, 532, 5702, 41697, 16195, 2890, 20859, 568, 236744, 236761, 236759, 1126, 83838, 236768, 531, 11015, 20511, 236764, 6439, 35163, 236764, 532, 39844, 9295, 10293, 4217, 236761, 108, 236800, 236761, 5213, 1584, 700, 60534, 1716, 15940, 573, 212044, 9463, 1018, 138, 107, 139, 236829, 11355, 63508, 8886, 236772, 2582, 236772, 106924, 1262, 58811, 35163, 13682, 699, 123892, 31632, 236764, 532, 4185, 10022, 236772, 32306, 19898, 56856, 9295, 11646, 236761, 138, 107, 139, 236829, 4396, 63508, 15748, 28009, 1716, 15940, 3008, 2135, 14453, 532, 38414, 531, 25573, 25591, 236764, 14051, 46327, 236764, 532, 2619, 4719, 116386, 1090, 573, 176728, 236761, 108, 1018, 136983, 45600, 66515, 138, 107, 236772, 52971, 127979, 45248, 10884, 1699, 40399, 5417, 236761, 138, 107, 236772, 50275, 24874, 573, 11363, 29811, 236772, 176270, 6485, 236761, 138, 107, 236772, 44300, 236772, 498, 28009, 1716, 572, 29080, 3008, 496, 2263, 3399, 7972, 10134, 236761, 138, 108, 1018, 19213, 66515, 19148, 8886, 236772, 2582, 236772, 106924, 236858, 236751, 9295, 2404, 2072, 532, 72304, 236858, 236751, 32319, 236772, 35153, 83545, 11213, 7760, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 1239, 3342, 236888, 178829, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 7020, 1759, 236772, 2289, 1262, 699, 506, 2544, 236779, 3677, 236779, 111765, 5904, 573, 58445, 29327, 236764, 496, 14896, 6218, 528, 45559, 8036, 30254, 529, 18454, 1262, 49279, 236761, 9187, 684, 18024, 531, 910, 1262, 6381, 236761, 1637, 611, 6440, 1027, 16788, 85859, 618, 623, 11480, 13546, 236775, 653, 7906, 506, 30136, 623, 8410, 99232, 2098, 6842, 8430, 506, 31115, 236764, 20276, 236764, 532, 27945, 4889, 236761, 4298, 236764, 4071, 236772, 30449, 1724, 4889, 607, 2263, 1960, 231144, 531, 2426, 573, 11411, 4699, 236761, 22282, 77372, 4249, 532, 9690, 786, 506, 3479, 496, 4241, 10263, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6678, 236779, 2451, 1083, 623, 174772, 1411, 3677, 236761, 540, 899, 29048, 2302, 236761, 854, 236786, 1516, 236772, 6678, 827, 623, 4818, 1083, 623, 18941, 827, 623, 4375, 1083, 623, 120104, 3931, 573, 8610, 236787, 4560, 1411, 540, 899, 29048, 2302, 236761, 854, 827, 623, 5034, 236779, 28881, 1083, 11058, 11480, 13546, 827, 623, 8410, 99232, 99471, 106, 107, 105, 4368, 107, 120104, 5158, 573, 58445, 29327, 236761, 22745, 6638, 657, 2165, 174772, 1411, 3677, 236761, 540, 899, 29048, 2302, 236761, 854, 236786, 1516, 236772, 6678, 236929, 607, 18774, 573, 623, 11480, 13546, 236775, 532, 623, 8410, 99232, 3056, 236743, 108, 236777, 795, 18840, 30568, 16788, 528, 1759, 236772, 2289, 532, 13018, 506, 2148, 6555, 568, 42204, 522, 4889, 236764, 4071, 236772, 35380, 9908, 231144, 236768, 6842, 3324, 43843, 496, 4241, 236761, 23902, 563, 124406, 618, 15633, 236761, 236743, 108, 6717, 236787, 113452, 106476, 573, 85859, 4749, 1390, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7020, 1759, 236772, 2289, 1262, 699, 506, 2544, 236779, 3677, 236779, 111765, 5904, 573, 58445, 29327, 236764, 496, 14896, 6218, 528, 45559, 8036, 30254, 529, 18454, 1262, 49279, 236761, 9187, 684, 18024, 531, 910, 1262, 6381, 236761, 1637, 611, 6440, 1027, 16788, 85859, 618, 623, 11480, 13546, 236775, 653, 7906, 506, 30136, 623, 8410, 99232, 2098, 6842, 8430, 506, 31115, 236764, 20276, 236764, 532, 27945, 4889, 236761, 4298, 236764, 4071, 236772, 30449, 1724, 4889, 607, 2263, 1960, 231144, 531, 2426, 573, 11411, 4699, 236761, 22282, 77372, 4249, 532, 9690, 786, 506, 3479, 496, 4241, 10263, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6678, 236779, 2451, 1083, 623, 174772, 1411, 3677, 236761, 540, 899, 29048, 2302, 236761, 854, 236786, 1516, 236772, 6678, 827, 623, 4818, 1083, 623, 18941, 827, 623, 4375, 1083, 623, 120104, 3931, 573, 8610, 236787, 4560, 1411, 540, 899, 29048, 2302, 236761, 854, 827, 623, 5034, 236779, 28881, 1083, 11058, 11480, 13546, 827, 623, 8410, 99232, 99471, 106, 107, 105, 4368, 107, 120104, 5158, 573, 58445, 29327, 236761, 22745, 6638, 657, 2165, 174772, 1411, 3677, 236761, 540, 899, 29048, 2302, 236761, 854, 236786, 1516, 236772, 6678, 236929, 607, 18774, 573, 623, 11480, 13546, 236775, 532, 623, 8410, 99232, 3056, 236743, 108, 236777, 795, 18840, 30568, 16788, 528, 1759, 236772, 2289, 532, 13018, 506, 2148, 6555, 568, 42204, 522, 4889, 236764, 4071, 236772, 35380, 9908, 231144, 236768, 6842, 3324, 43843, 496, 4241, 236761, 23902, 563, 124406, 618, 15633, 236761, 236743, 108, 6717, 236787, 113452, 106476, 573, 85859, 4749, 1390, 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, 97460, 7200, 1868, 1003, 1041, 4803, 7946, 531, 13251, 4085, 236761, 564, 1461, 531, 9779, 506, 14788, 2780, 532, 4148, 45942, 1699, 17513, 38038, 528, 1800, 5422, 532, 14361, 236761, 5315, 236764, 740, 611, 1586, 116303, 573, 623, 131841, 236775, 528, 14361, 236881, 4298, 236764, 1586, 116303, 573, 623, 25116, 236775, 528, 5422, 236761, 13472, 236764, 1161, 506, 5422, 116303, 573, 623, 25116, 236775, 531, 1586, 910, 14361, 78014, 236761, 3792, 236789, 236751, 1502, 607, 506, 14361, 116303, 573, 623, 131841, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31997, 101864, 1083, 11058, 87144, 125492, 827, 623, 20320, 827, 623, 716, 13155, 3025, 827, 623, 92339, 12729, 236748, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31997, 101864, 1083, 11058, 540, 14311, 827, 623, 236759, 131035, 827, 623, 66604, 143722, 827, 623, 164527, 827, 623, 236763, 1059, 51059, 827, 623, 94832, 1249, 827, 623, 574, 36778, 827, 623, 110208, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31997, 101864, 1083, 11058, 527, 4842, 125492, 827, 623, 24221, 236785, 236756, 236771, 236771, 524, 1148, 827, 623, 4545, 737, 644, 13565, 827, 623, 6004, 31440, 3194, 827, 623, 27909, 4517, 3945, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 38038, 10686, 573, 822, 97460, 7200, 1868, 236787, 108, 1018, 80353, 116303, 573, 623, 7796, 228079, 236775, 568, 131841, 1473, 1018, 107, 236772, 16447, 125492, 107, 236772, 43008, 107, 236772, 1787, 13155, 3025, 107, 236772, 562, 7043, 12729, 236748, 108, 1018, 27832, 116303, 573, 623, 25116, 1083, 1018, 107, 236772, 127705, 107, 236772, 162044, 107, 236772, 218193, 107, 236772, 87287, 107, 236772, 603, 1059, 51059, 107, 236772, 44776, 1249, 107, 236772, 223470, 107, 236772, 98036, 108, 1018, 80353, 78014, 573, 623, 540, 14311, 236775, 568, 548, 12592, 97790, 1473, 1018, 107, 236772, 1773, 4842, 125492, 107, 236772, 21535, 236928, 1148, 107, 236772, 2481, 737, 644, 13565, 107, 236772, 33221, 31440, 3194, 107, 236772, 32417, 4517, 3945, 108, 38786, 611, 1133, 786, 531, 6778, 506, 14361, 78014, 573, 1032, 5422, 116303, 1133, 623, 236759, 131035, 236775, 653, 623, 236763, 1059, 51059, 51653, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 97460, 7200, 1868, 1003, 1041, 4803, 7946, 531, 13251, 4085, 236761, 564, 1461, 531, 9779, 506, 14788, 2780, 532, 4148, 45942, 1699, 17513, 38038, 528, 1800, 5422, 532, 14361, 236761, 5315, 236764, 740, 611, 1586, 116303, 573, 623, 131841, 236775, 528, 14361, 236881, 4298, 236764, 1586, 116303, 573, 623, 25116, 236775, 528, 5422, 236761, 13472, 236764, 1161, 506, 5422, 116303, 573, 623, 25116, 236775, 531, 1586, 910, 14361, 78014, 236761, 3792, 236789, 236751, 1502, 607, 506, 14361, 116303, 573, 623, 131841, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31997, 101864, 1083, 11058, 87144, 125492, 827, 623, 20320, 827, 623, 716, 13155, 3025, 827, 623, 92339, 12729, 236748, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31997, 101864, 1083, 11058, 540, 14311, 827, 623, 236759, 131035, 827, 623, 66604, 143722, 827, 623, 164527, 827, 623, 236763, 1059, 51059, 827, 623, 94832, 1249, 827, 623, 574, 36778, 827, 623, 110208, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31997, 101864, 1083, 11058, 527, 4842, 125492, 827, 623, 24221, 236785, 236756, 236771, 236771, 524, 1148, 827, 623, 4545, 737, 644, 13565, 827, 623, 6004, 31440, 3194, 827, 623, 27909, 4517, 3945, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 38038, 10686, 573, 822, 97460, 7200, 1868, 236787, 108, 1018, 80353, 116303, 573, 623, 7796, 228079, 236775, 568, 131841, 1473, 1018, 107, 236772, 16447, 125492, 107, 236772, 43008, 107, 236772, 1787, 13155, 3025, 107, 236772, 562, 7043, 12729, 236748, 108, 1018, 27832, 116303, 573, 623, 25116, 1083, 1018, 107, 236772, 127705, 107, 236772, 162044, 107, 236772, 218193, 107, 236772, 87287, 107, 236772, 603, 1059, 51059, 107, 236772, 44776, 1249, 107, 236772, 223470, 107, 236772, 98036, 108, 1018, 80353, 78014, 573, 623, 540, 14311, 236775, 568, 548, 12592, 97790, 1473, 1018, 107, 236772, 1773, 4842, 125492, 107, 236772, 21535, 236928, 1148, 107, 236772, 2481, 737, 644, 13565, 107, 236772, 33221, 31440, 3194, 107, 236772, 32417, 4517, 3945, 108, 38786, 611, 1133, 786, 531, 6778, 506, 14361, 78014, 573, 1032, 5422, 116303, 1133, 623, 236759, 131035, 236775, 653, 623, 236763, 1059, 51059, 51653, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 30493, 496, 3399, 1610, 32545, 41671, 2263, 10592, 236764, 840, 564, 1202, 1601, 64451, 607, 11421, 532, 21736, 236761, 5715, 236789, 236751, 1217, 564, 236789, 236753, 1133, 531, 4313, 625, 236787, 236743, 236770, 236761, 5315, 236764, 564, 1202, 611, 531, 5039, 496, 14142, 3973, 3618, 531, 506, 623, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 236775, 2299, 11184, 531, 20138, 2142, 699, 2263, 11421, 236761, 669, 3618, 1374, 2679, 1015, 1093, 1133, 531, 14309, 532, 2864, 496, 8652, 6492, 529, 910, 6195, 19717, 6347, 236761, 236743, 236778, 236761, 9920, 692, 5908, 13630, 568, 236777, 236789, 859, 1531, 611, 1281, 1056, 600, 236789, 236751, 3028, 779, 692, 236789, 859, 1202, 531, 1500, 872, 607, 496, 1855, 14142, 3973, 3618, 236761, 1174, 990, 236764, 5039, 28233, 69980, 531, 506, 1903, 236743, 236810, 11421, 2721, 580, 910, 25398, 236764, 49378, 910, 15430, 532, 6655, 2460, 4889, 236761, 236743, 236800, 236761, 13472, 236764, 1308, 49378, 506, 11421, 236764, 692, 1374, 5039, 496, 4168, 14142, 3973, 3618, 531, 506, 623, 37939, 236772, 4477, 180659, 236775, 7102, 531, 20699, 6484, 876, 573, 506, 2460, 236761, 669, 3618, 1374, 20193, 692, 1202, 236743, 236770, 236771, 21736, 531, 1601, 8214, 13131, 1343, 506, 32545, 580, 506, 9137, 529, 6243, 236743, 236770, 236832, 594, 236761, 3792, 786, 1281, 1056, 611, 236789, 500, 5508, 531, 3654, 607, 506, 1171, 3618, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 22826, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236772, 236832, 236828, 236819, 236771, 827, 623, 4818, 1083, 623, 15266, 827, 623, 15266, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 818, 4068, 3618, 815, 1010, 3265, 531, 506, 623, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 236775, 2299, 11184, 531, 20138, 8325, 2142, 236761, 7323, 1531, 786, 1281, 1056, 611, 236789, 560, 4461, 13630, 532, 659, 5508, 531, 7162, 607, 30923, 25398, 573, 506, 1903, 236743, 236810, 11421, 236761, 2640, 600, 1523, 236764, 564, 236789, 859, 1601, 12262, 28233, 69980, 573, 506, 5540, 11383, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 560, 4461, 3131, 13630, 699, 2263, 11421, 236888, 5715, 659, 506, 1903, 236743, 236810, 25398, 600, 15032, 855, 236787, 236743, 236770, 236761, 17015, 7286, 90852, 753, 65371, 4009, 6347, 62223, 28594, 3731, 528, 506, 4273, 1525, 22924, 7940, 64832, 236743, 236778, 236761, 8460, 623, 11666, 236775, 105370, 753, 121558, 3605, 1699, 101922, 8459, 5417, 699, 506, 2255, 3627, 2612, 236743, 236800, 236761, 225665, 69197, 753, 59494, 5177, 19360, 22260, 62476, 2523, 54949, 236743, 236812, 236761, 26892, 8512, 56670, 753, 43899, 113844, 748, 977, 80470, 33931, 76789, 35490, 236743, 236810, 236761, 71918, 79897, 753, 103790, 4146, 13696, 684, 506, 4128, 236789, 236751, 96884, 73973, 564, 236789, 236753, 1133, 531, 56856, 9226, 10065, 532, 6236, 528, 4009, 573, 672, 32545, 236761, 7323, 12262, 28233, 69980, 573, 1239, 11421, 600, 3204, 236787, 753, 12209, 3433, 236786, 2289, 236787, 6243, 236743, 236770, 236832, 594, 236764, 236743, 236810, 236772, 236828, 8711, 753, 37827, 11808, 236787, 58887, 2847, 910, 1852, 3034, 5417, 236764, 15707, 795, 2847, 3549, 2557, 532, 29851, 1294, 753, 13948, 8283, 573, 1500, 236772, 1048, 236787, 1041, 3577, 4553, 568, 1254, 12044, 236761, 56282, 780, 1674, 1525, 22924, 236940, 18112, 236761, 854, 236768, 753, 562, 8652, 8349, 3618, 80785, 910, 3530, 20431, 3026, 611, 236789, 560, 7723, 506, 69980, 236764, 692, 236789, 859, 2827, 531, 506, 24564, 29859, 5420, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 92757, 1083, 623, 46456, 2299, 11184, 31744, 756, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 236789, 573, 4068, 2142, 20138, 236764, 840, 2506, 3141, 27945, 756, 60526, 7286, 90852, 35773, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 92757, 1083, 623, 46456, 2299, 11184, 31744, 756, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 963, 2506, 3141, 2430, 756, 23889, 7339, 11666, 8455, 105370, 35773, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 92757, 1083, 623, 46456, 2299, 11184, 756, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 236789, 618, 27945, 810, 2430, 11808, 827, 623, 3955, 1083, 623, 4795, 7412, 28233, 531, 3141, 8325, 4319, 1082, 496, 2870, 2142, 26410, 573, 506, 2299, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 92757, 1083, 623, 46456, 2299, 11184, 31744, 756, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 236789, 618, 9155, 528, 2430, 11808, 236764, 840, 2506, 3141, 1463, 756, 109917, 8512, 56670, 6748, 669, 27945, 7689, 1921, 4241, 506, 3328, 2299, 11184, 573, 2142, 236772, 151252, 3801, 3618, 1781, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 92757, 1083, 623, 31336, 577, 2299, 11184, 1463, 756, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 236789, 810, 2430, 14787, 236764, 840, 2506, 3141, 1463, 756, 192805, 79897, 75334, 623, 3955, 1083, 623, 34136, 28233, 25417, 1816, 10518, 573, 2918, 236743, 236778, 1500, 236772, 1048, 236764, 711, 506, 4068, 2142, 236772, 151252, 3801, 3618, 4970, 528, 2918, 236743, 236770, 236775, 19465, 106, 107, 105, 4368, 107, 236777, 1460, 506, 4186, 753, 506, 1458, 563, 41483, 600, 784, 10396, 531, 3141, 11421, 1921, 577, 42096, 684, 2005, 2299, 11184, 15154, 236761, 3792, 786, 6253, 1041, 4313, 1651, 16977, 822, 10040, 236787, 108, 236770, 236761, 5315, 236764, 1531, 236789, 236751, 9128, 506, 4068, 2142, 20138, 691, 7723, 236787, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 15247, 236772, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236832, 236772, 236798, 7332, 1536, 827, 623, 4818, 1083, 623, 214956, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236832, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 92757, 1083, 623, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 827, 623, 2064, 236779, 2084, 1083, 623, 4375, 827, 623, 47384, 1083, 623, 11480, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 623, 60526, 7286, 90852, 827, 623, 4375, 236779, 547, 1083, 623, 15247, 236770, 236778, 236800, 236812, 236810, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4375, 236779, 547, 1083, 623, 15247, 236772, 44397, 236772, 236832, 236828, 236819, 236770, 236771, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 92757, 1083, 623, 23889, 7339, 11666, 8455, 105370, 827, 623, 2064, 236779, 2084, 1083, 623, 4375, 827, 623, 47384, 236779, 5909, 1083, 623, 11480, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 92757, 1083, 623, 46456, 2299, 11184, 31744, 756, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 963, 4461, 3141, 1463, 756, 236798, 5657, 69197, 75334, 623, 3955, 1083, 623, 4795, 1374, 2864, 2142, 49432, 532, 19717, 25398, 236764, 711, 9128, 15430, 4889, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4375, 236779, 547, 1083, 623, 15247, 236772, 236819, 236812, 236828, 236778, 236772, 236832, 236832, 236770, 236917, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 92757, 1083, 623, 236798, 5657, 69197, 827, 623, 47384, 236779, 5909, 1083, 623, 11480, 827, 623, 2064, 236779, 64811, 1083, 623, 4375, 236779, 15266, 827, 623, 81907, 236779, 4818, 1083, 623, 214956, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 15247, 236772, 236778, 236771, 236778, 236800, 236770, 236770, 236771, 236800, 236772, 236832, 236828, 236819, 236771, 827, 623, 4818, 1083, 623, 15266, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236800, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 92757, 1083, 623, 37939, 236772, 4477, 180659, 827, 623, 47384, 236779, 5909, 1083, 623, 11480, 827, 623, 81907, 236779, 104094, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 3243, 26937, 10396, 735, 1010, 10428, 12063, 236787, 108, 236770, 236761, 20879, 2142, 20138, 3265, 531, 623, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 236775, 2299, 107, 236778, 236761, 159722, 69980, 3265, 531, 784, 236743, 236810, 16939, 11421, 236787, 107, 139, 236772, 17015, 7286, 90852, 568, 63258, 4009, 236768, 107, 139, 236772, 8460, 623, 11666, 236775, 105370, 568, 1166, 18115, 694, 236768, 107, 139, 236772, 225665, 69197, 568, 36661, 19360, 236768, 107, 139, 236772, 26892, 8512, 56670, 568, 64915, 35490, 236768, 107, 139, 236772, 71918, 79897, 568, 210262, 1229, 236768, 107, 236800, 236761, 77362, 29859, 3618, 3265, 531, 623, 37939, 236772, 4477, 180659, 236775, 46133, 236743, 236770, 236771, 6484, 876, 573, 6243, 236743, 236770, 236832, 594, 2460, 108, 3243, 11383, 735, 1010, 9668, 38208, 607, 2460, 4889, 236764, 10884, 11808, 236764, 532, 3662, 1938, 236761, 669, 32545, 26937, 563, 1492, 4133, 1343, 506, 14142, 3973, 5058, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 30493, 496, 3399, 1610, 32545, 41671, 2263, 10592, 236764, 840, 564, 1202, 1601, 64451, 607, 11421, 532, 21736, 236761, 5715, 236789, 236751, 1217, 564, 236789, 236753, 1133, 531, 4313, 625, 236787, 236743, 236770, 236761, 5315, 236764, 564, 1202, 611, 531, 5039, 496, 14142, 3973, 3618, 531, 506, 623, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 236775, 2299, 11184, 531, 20138, 2142, 699, 2263, 11421, 236761, 669, 3618, 1374, 2679, 1015, 1093, 1133, 531, 14309, 532, 2864, 496, 8652, 6492, 529, 910, 6195, 19717, 6347, 236761, 236743, 236778, 236761, 9920, 692, 5908, 13630, 568, 236777, 236789, 859, 1531, 611, 1281, 1056, 600, 236789, 236751, 3028, 779, 692, 236789, 859, 1202, 531, 1500, 872, 607, 496, 1855, 14142, 3973, 3618, 236761, 1174, 990, 236764, 5039, 28233, 69980, 531, 506, 1903, 236743, 236810, 11421, 2721, 580, 910, 25398, 236764, 49378, 910, 15430, 532, 6655, 2460, 4889, 236761, 236743, 236800, 236761, 13472, 236764, 1308, 49378, 506, 11421, 236764, 692, 1374, 5039, 496, 4168, 14142, 3973, 3618, 531, 506, 623, 37939, 236772, 4477, 180659, 236775, 7102, 531, 20699, 6484, 876, 573, 506, 2460, 236761, 669, 3618, 1374, 20193, 692, 1202, 236743, 236770, 236771, 21736, 531, 1601, 8214, 13131, 1343, 506, 32545, 580, 506, 9137, 529, 6243, 236743, 236770, 236832, 594, 236761, 3792, 786, 1281, 1056, 611, 236789, 500, 5508, 531, 3654, 607, 506, 1171, 3618, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 22826, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236772, 236832, 236828, 236819, 236771, 827, 623, 4818, 1083, 623, 15266, 827, 623, 15266, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 818, 4068, 3618, 815, 1010, 3265, 531, 506, 623, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 236775, 2299, 11184, 531, 20138, 8325, 2142, 236761, 7323, 1531, 786, 1281, 1056, 611, 236789, 560, 4461, 13630, 532, 659, 5508, 531, 7162, 607, 30923, 25398, 573, 506, 1903, 236743, 236810, 11421, 236761, 2640, 600, 1523, 236764, 564, 236789, 859, 1601, 12262, 28233, 69980, 573, 506, 5540, 11383, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 560, 4461, 3131, 13630, 699, 2263, 11421, 236888, 5715, 659, 506, 1903, 236743, 236810, 25398, 600, 15032, 855, 236787, 236743, 236770, 236761, 17015, 7286, 90852, 753, 65371, 4009, 6347, 62223, 28594, 3731, 528, 506, 4273, 1525, 22924, 7940, 64832, 236743, 236778, 236761, 8460, 623, 11666, 236775, 105370, 753, 121558, 3605, 1699, 101922, 8459, 5417, 699, 506, 2255, 3627, 2612, 236743, 236800, 236761, 225665, 69197, 753, 59494, 5177, 19360, 22260, 62476, 2523, 54949, 236743, 236812, 236761, 26892, 8512, 56670, 753, 43899, 113844, 748, 977, 80470, 33931, 76789, 35490, 236743, 236810, 236761, 71918, 79897, 753, 103790, 4146, 13696, 684, 506, 4128, 236789, 236751, 96884, 73973, 564, 236789, 236753, 1133, 531, 56856, 9226, 10065, 532, 6236, 528, 4009, 573, 672, 32545, 236761, 7323, 12262, 28233, 69980, 573, 1239, 11421, 600, 3204, 236787, 753, 12209, 3433, 236786, 2289, 236787, 6243, 236743, 236770, 236832, 594, 236764, 236743, 236810, 236772, 236828, 8711, 753, 37827, 11808, 236787, 58887, 2847, 910, 1852, 3034, 5417, 236764, 15707, 795, 2847, 3549, 2557, 532, 29851, 1294, 753, 13948, 8283, 573, 1500, 236772, 1048, 236787, 1041, 3577, 4553, 568, 1254, 12044, 236761, 56282, 780, 1674, 1525, 22924, 236940, 18112, 236761, 854, 236768, 753, 562, 8652, 8349, 3618, 80785, 910, 3530, 20431, 3026, 611, 236789, 560, 7723, 506, 69980, 236764, 692, 236789, 859, 2827, 531, 506, 24564, 29859, 5420, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 92757, 1083, 623, 46456, 2299, 11184, 31744, 756, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 236789, 573, 4068, 2142, 20138, 236764, 840, 2506, 3141, 27945, 756, 60526, 7286, 90852, 35773, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 92757, 1083, 623, 46456, 2299, 11184, 31744, 756, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 963, 2506, 3141, 2430, 756, 23889, 7339, 11666, 8455, 105370, 35773, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 92757, 1083, 623, 46456, 2299, 11184, 756, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 236789, 618, 27945, 810, 2430, 11808, 827, 623, 3955, 1083, 623, 4795, 7412, 28233, 531, 3141, 8325, 4319, 1082, 496, 2870, 2142, 26410, 573, 506, 2299, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 92757, 1083, 623, 46456, 2299, 11184, 31744, 756, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 236789, 618, 9155, 528, 2430, 11808, 236764, 840, 2506, 3141, 1463, 756, 109917, 8512, 56670, 6748, 669, 27945, 7689, 1921, 4241, 506, 3328, 2299, 11184, 573, 2142, 236772, 151252, 3801, 3618, 1781, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 92757, 1083, 623, 31336, 577, 2299, 11184, 1463, 756, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 236789, 810, 2430, 14787, 236764, 840, 2506, 3141, 1463, 756, 192805, 79897, 75334, 623, 3955, 1083, 623, 34136, 28233, 25417, 1816, 10518, 573, 2918, 236743, 236778, 1500, 236772, 1048, 236764, 711, 506, 4068, 2142, 236772, 151252, 3801, 3618, 4970, 528, 2918, 236743, 236770, 236775, 19465, 106, 107, 105, 4368, 107, 236777, 1460, 506, 4186, 753, 506, 1458, 563, 41483, 600, 784, 10396, 531, 3141, 11421, 1921, 577, 42096, 684, 2005, 2299, 11184, 15154, 236761, 3792, 786, 6253, 1041, 4313, 1651, 16977, 822, 10040, 236787, 108, 236770, 236761, 5315, 236764, 1531, 236789, 236751, 9128, 506, 4068, 2142, 20138, 691, 7723, 236787, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 15247, 236772, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236832, 236772, 236798, 7332, 1536, 827, 623, 4818, 1083, 623, 214956, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236832, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 92757, 1083, 623, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 827, 623, 2064, 236779, 2084, 1083, 623, 4375, 827, 623, 47384, 1083, 623, 11480, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 623, 60526, 7286, 90852, 827, 623, 4375, 236779, 547, 1083, 623, 15247, 236770, 236778, 236800, 236812, 236810, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4375, 236779, 547, 1083, 623, 15247, 236772, 44397, 236772, 236832, 236828, 236819, 236770, 236771, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 92757, 1083, 623, 23889, 7339, 11666, 8455, 105370, 827, 623, 2064, 236779, 2084, 1083, 623, 4375, 827, 623, 47384, 236779, 5909, 1083, 623, 11480, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 92757, 1083, 623, 46456, 2299, 11184, 31744, 756, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 963, 4461, 3141, 1463, 756, 236798, 5657, 69197, 75334, 623, 3955, 1083, 623, 4795, 1374, 2864, 2142, 49432, 532, 19717, 25398, 236764, 711, 9128, 15430, 4889, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4375, 236779, 547, 1083, 623, 15247, 236772, 236819, 236812, 236828, 236778, 236772, 236832, 236832, 236770, 236917, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 92757, 1083, 623, 236798, 5657, 69197, 827, 623, 47384, 236779, 5909, 1083, 623, 11480, 827, 623, 2064, 236779, 64811, 1083, 623, 4375, 236779, 15266, 827, 623, 81907, 236779, 4818, 1083, 623, 214956, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 15247, 236772, 236778, 236771, 236778, 236800, 236770, 236770, 236771, 236800, 236772, 236832, 236828, 236819, 236771, 827, 623, 4818, 1083, 623, 15266, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236800, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 92757, 1083, 623, 37939, 236772, 4477, 180659, 827, 623, 47384, 236779, 5909, 1083, 623, 11480, 827, 623, 81907, 236779, 104094, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 3243, 26937, 10396, 735, 1010, 10428, 12063, 236787, 108, 236770, 236761, 20879, 2142, 20138, 3265, 531, 623, 56282, 236772, 780, 236772, 1674, 1525, 22924, 236772, 14865, 236772, 20746, 236775, 2299, 107, 236778, 236761, 159722, 69980, 3265, 531, 784, 236743, 236810, 16939, 11421, 236787, 107, 139, 236772, 17015, 7286, 90852, 568, 63258, 4009, 236768, 107, 139, 236772, 8460, 623, 11666, 236775, 105370, 568, 1166, 18115, 694, 236768, 107, 139, 236772, 225665, 69197, 568, 36661, 19360, 236768, 107, 139, 236772, 26892, 8512, 56670, 568, 64915, 35490, 236768, 107, 139, 236772, 71918, 79897, 568, 210262, 1229, 236768, 107, 236800, 236761, 77362, 29859, 3618, 3265, 531, 623, 37939, 236772, 4477, 180659, 236775, 46133, 236743, 236770, 236771, 6484, 876, 573, 6243, 236743, 236770, 236832, 594, 2460, 108, 3243, 11383, 735, 1010, 9668, 38208, 607, 2460, 4889, 236764, 10884, 11808, 236764, 532, 3662, 1938, 236761, 669, 32545, 26937, 563, 1492, 4133, 1343, 506, 14142, 3973, 5058, 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, 164750, 1610, 18669, 573, 1023, 144382, 3399, 532, 1202, 1601, 18024, 607, 2263, 48030, 236888, 28344, 611, 3927, 40718, 573, 5089, 1015, 1868, 1003, 623, 72340, 78295, 81559, 28023, 236775, 532, 2426, 4889, 573, 506, 9526, 2430, 1392, 236773, 25474, 9096, 9175, 33021, 236881, 6542, 236764, 564, 236858, 236753, 2765, 531, 1441, 496, 6672, 5410, 1133, 999, 74361, 7178, 506, 7940, 236919, 657, 506, 2460, 237028, 46052, 611, 9128, 1061, 4083, 532, 31866, 236881, 1174, 1093, 2689, 834, 1623, 531, 786, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 11668, 1083, 623, 72340, 78295, 134670, 109278, 827, 623, 76647, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 43852, 236779, 22487, 1083, 11058, 162117, 6672, 164750, 16078, 8403, 41218, 623, 7029, 53684, 18669, 20756, 699, 1774, 2069, 14255, 623, 7125, 1083, 623, 236773, 25474, 9096, 236764, 8253, 23179, 3714, 11668, 1083, 623, 48496, 84151, 42776, 827, 623, 76647, 1083, 236743, 236828, 236819, 236771, 236771, 236764, 623, 43852, 236779, 22487, 1083, 11058, 22163, 1023, 164750, 81559, 1012, 672, 8224, 41218, 623, 16146, 529, 164750, 7579, 528, 4532, 1610, 14255, 623, 7125, 1083, 623, 23243, 10503, 236764, 8253, 25938, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236778, 236764, 623, 3278, 236779, 3456, 1083, 623, 72340, 78295, 81559, 28023, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 547, 236779, 1714, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 1201, 1083, 623, 236773, 25474, 9096, 4585, 28260, 827, 623, 7656, 236779, 1201, 1083, 623, 236773, 25474, 9096, 9175, 33021, 827, 623, 7777, 1083, 623, 21301, 10316, 2263, 1610, 4749, 532, 28023, 528, 144382, 236761, 200367, 580, 9226, 33862, 532, 3399, 15154, 10498, 623, 76647, 236779, 2861, 1083, 236743, 236770, 236810, 236771, 236771, 236764, 623, 7125, 1083, 623, 236773, 25474, 9096, 236764, 8253, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 74361, 7178, 506, 7940, 827, 623, 31040, 1083, 623, 63190, 164750, 66026, 15960, 827, 623, 18308, 1083, 623, 236776, 236743, 236770, 236819, 594, 236772, 33201, 26497, 59155, 71882, 699, 506, 44030, 7940, 22616, 4128, 236764, 3187, 6984, 1913, 14537, 236772, 66410, 15467, 42927, 531, 147075, 86508, 532, 65570, 10498, 623, 107468, 1083, 11058, 236785, 236756, 236825, 236832, 236771, 236828, 236785, 236756, 236810, 236770, 236812, 236819, 236785, 236756, 236832, 236771, 236810, 236770, 236785, 236756, 236828, 236812, 236800, 236753, 236785, 236756, 236825, 18708, 236800, 236785, 236756, 236819, 236832, 236825, 236778, 236785, 236756, 236812, 236744, 236771, 236746, 568, 74361, 3223, 102296, 580, 506, 8858, 236789, 236751, 3392, 22730, 6443, 236756, 236825, 236760, 236771, 236770, 236785, 236756, 236832, 236771, 236825, 236763, 236785, 236756, 236819, 9511, 236785, 236756, 236819, 9511, 236785, 236756, 236825, 236825, 236778, 236771, 236785, 236756, 236825, 588, 236778, 236785, 236756, 236810, 236770, 236812, 236819, 568, 102822, 11544, 97467, 528, 506, 11707, 22730, 6443, 236756, 236825, 236763, 236832, 236828, 236785, 236756, 236828, 236778, 236770, 236760, 236785, 236756, 236828, 236760, 236770, 236810, 236785, 236756, 236825, 236812, 236770, 236825, 236785, 236756, 236825, 236771, 236770, 236753, 236785, 236756, 236819, 236770, 236771, 236819, 236785, 236756, 236810, 236819, 236778, 236778, 568, 128430, 9909, 503, 2107, 607, 10374, 936, 19424, 22730, 6443, 236756, 236812, 236744, 236771, 236771, 236785, 236756, 236825, 236825, 236760, 236778, 236785, 236756, 236819, 236770, 236771, 236819, 236785, 236756, 236819, 236832, 236760, 236800, 236785, 236756, 236825, 236755, 236800, 236828, 236785, 236756, 236825, 236753, 236812, 236770, 236785, 236756, 236810, 236771, 236763, 236800, 568, 2094, 59155, 85198, 1343, 20971, 236768, 14255, 623, 64915, 1083, 1847, 236764, 623, 50771, 236779, 8478, 159661, 1083, 623, 119128, 1456, 528, 164750, 32960, 154924, 17484, 532, 11115, 58287, 531, 104184, 96009, 62320, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 21508, 573, 822, 164750, 1610, 18669, 236787, 108, 1018, 132331, 235606, 7989, 53121, 107, 236770, 236761, 5213, 236940, 72340, 78295, 134670, 109278, 1018, 568, 236770, 236778, 236761, 236810, 236767, 23073, 236768, 107, 139, 236772, 21617, 236787, 144382, 236764, 8253, 107, 139, 236772, 34980, 12714, 236787, 43899, 16078, 8403, 833, 18669, 20756, 107, 139, 236772, 26079, 2263, 5603, 573, 822, 2460, 108, 236778, 236761, 5213, 236940, 48496, 84151, 42776, 1018, 568, 236828, 236761, 236819, 236767, 23073, 236768, 107, 139, 236772, 21617, 236787, 5054, 10503, 236764, 8253, 568, 182119, 3399, 236768, 107, 139, 236772, 34980, 12714, 236787, 8224, 81559, 7694, 833, 11858, 3004, 108, 1018, 34207, 29520, 236787, 1392, 236773, 25474, 9096, 9175, 33021, 1018, 107, 236772, 7343, 236787, 144382, 4585, 28260, 107, 236772, 236743, 236770, 236764, 236810, 236771, 236771, 23073, 107, 236772, 17243, 236787, 623, 21301, 10316, 2263, 1610, 4749, 1390, 9226, 33862, 236775, 107, 236772, 21617, 236787, 144382, 236764, 8253, 107, 236772, 21284, 577, 7436, 85505, 573, 822, 18669, 108, 1018, 236775, 74361, 7178, 506, 7940, 236775, 20303, 53121, 107, 236772, 45769, 236787, 236743, 236770, 236819, 594, 7691, 44030, 7940, 22616, 26497, 5410, 107, 236772, 32462, 29722, 236787, 14537, 236772, 66410, 15467, 55488, 225015, 65570, 107, 236772, 31278, 40263, 568, 72340, 78295, 1473, 107, 138, 236775, 237401, 237914, 245343, 238468, 238934, 111893, 568, 74361, 3223, 102296, 580, 506, 8858, 236789, 236751, 3392, 16291, 107, 138, 236775, 242111, 241921, 240771, 243047, 237789, 241824, 240576, 568, 128430, 9909, 503, 2107, 607, 10374, 936, 19424, 16291, 107, 236772, 128688, 236787, 29164, 528, 164750, 32960, 154924, 17484, 532, 11115, 58287, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 59336, 1982, 43285, 10396, 531, 506, 40718, 44100, 236881, 107, 236778, 236761, 39525, 4767, 11858, 4403, 1003, 506, 5410, 236881, 107, 236800, 236761, 12808, 573, 164750, 9226, 9780, 528, 144382, 531, 8324, 607, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 164750, 1610, 18669, 573, 1023, 144382, 3399, 532, 1202, 1601, 18024, 607, 2263, 48030, 236888, 28344, 611, 3927, 40718, 573, 5089, 1015, 1868, 1003, 623, 72340, 78295, 81559, 28023, 236775, 532, 2426, 4889, 573, 506, 9526, 2430, 1392, 236773, 25474, 9096, 9175, 33021, 236881, 6542, 236764, 564, 236858, 236753, 2765, 531, 1441, 496, 6672, 5410, 1133, 999, 74361, 7178, 506, 7940, 236919, 657, 506, 2460, 237028, 46052, 611, 9128, 1061, 4083, 532, 31866, 236881, 1174, 1093, 2689, 834, 1623, 531, 786, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 11668, 1083, 623, 72340, 78295, 134670, 109278, 827, 623, 76647, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 43852, 236779, 22487, 1083, 11058, 162117, 6672, 164750, 16078, 8403, 41218, 623, 7029, 53684, 18669, 20756, 699, 1774, 2069, 14255, 623, 7125, 1083, 623, 236773, 25474, 9096, 236764, 8253, 23179, 3714, 11668, 1083, 623, 48496, 84151, 42776, 827, 623, 76647, 1083, 236743, 236828, 236819, 236771, 236771, 236764, 623, 43852, 236779, 22487, 1083, 11058, 22163, 1023, 164750, 81559, 1012, 672, 8224, 41218, 623, 16146, 529, 164750, 7579, 528, 4532, 1610, 14255, 623, 7125, 1083, 623, 23243, 10503, 236764, 8253, 25938, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236778, 236764, 623, 3278, 236779, 3456, 1083, 623, 72340, 78295, 81559, 28023, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 547, 236779, 1714, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 1201, 1083, 623, 236773, 25474, 9096, 4585, 28260, 827, 623, 7656, 236779, 1201, 1083, 623, 236773, 25474, 9096, 9175, 33021, 827, 623, 7777, 1083, 623, 21301, 10316, 2263, 1610, 4749, 532, 28023, 528, 144382, 236761, 200367, 580, 9226, 33862, 532, 3399, 15154, 10498, 623, 76647, 236779, 2861, 1083, 236743, 236770, 236810, 236771, 236771, 236764, 623, 7125, 1083, 623, 236773, 25474, 9096, 236764, 8253, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 74361, 7178, 506, 7940, 827, 623, 31040, 1083, 623, 63190, 164750, 66026, 15960, 827, 623, 18308, 1083, 623, 236776, 236743, 236770, 236819, 594, 236772, 33201, 26497, 59155, 71882, 699, 506, 44030, 7940, 22616, 4128, 236764, 3187, 6984, 1913, 14537, 236772, 66410, 15467, 42927, 531, 147075, 86508, 532, 65570, 10498, 623, 107468, 1083, 11058, 236785, 236756, 236825, 236832, 236771, 236828, 236785, 236756, 236810, 236770, 236812, 236819, 236785, 236756, 236832, 236771, 236810, 236770, 236785, 236756, 236828, 236812, 236800, 236753, 236785, 236756, 236825, 18708, 236800, 236785, 236756, 236819, 236832, 236825, 236778, 236785, 236756, 236812, 236744, 236771, 236746, 568, 74361, 3223, 102296, 580, 506, 8858, 236789, 236751, 3392, 22730, 6443, 236756, 236825, 236760, 236771, 236770, 236785, 236756, 236832, 236771, 236825, 236763, 236785, 236756, 236819, 9511, 236785, 236756, 236819, 9511, 236785, 236756, 236825, 236825, 236778, 236771, 236785, 236756, 236825, 588, 236778, 236785, 236756, 236810, 236770, 236812, 236819, 568, 102822, 11544, 97467, 528, 506, 11707, 22730, 6443, 236756, 236825, 236763, 236832, 236828, 236785, 236756, 236828, 236778, 236770, 236760, 236785, 236756, 236828, 236760, 236770, 236810, 236785, 236756, 236825, 236812, 236770, 236825, 236785, 236756, 236825, 236771, 236770, 236753, 236785, 236756, 236819, 236770, 236771, 236819, 236785, 236756, 236810, 236819, 236778, 236778, 568, 128430, 9909, 503, 2107, 607, 10374, 936, 19424, 22730, 6443, 236756, 236812, 236744, 236771, 236771, 236785, 236756, 236825, 236825, 236760, 236778, 236785, 236756, 236819, 236770, 236771, 236819, 236785, 236756, 236819, 236832, 236760, 236800, 236785, 236756, 236825, 236755, 236800, 236828, 236785, 236756, 236825, 236753, 236812, 236770, 236785, 236756, 236810, 236771, 236763, 236800, 568, 2094, 59155, 85198, 1343, 20971, 236768, 14255, 623, 64915, 1083, 1847, 236764, 623, 50771, 236779, 8478, 159661, 1083, 623, 119128, 1456, 528, 164750, 32960, 154924, 17484, 532, 11115, 58287, 531, 104184, 96009, 62320, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 21508, 573, 822, 164750, 1610, 18669, 236787, 108, 1018, 132331, 235606, 7989, 53121, 107, 236770, 236761, 5213, 236940, 72340, 78295, 134670, 109278, 1018, 568, 236770, 236778, 236761, 236810, 236767, 23073, 236768, 107, 139, 236772, 21617, 236787, 144382, 236764, 8253, 107, 139, 236772, 34980, 12714, 236787, 43899, 16078, 8403, 833, 18669, 20756, 107, 139, 236772, 26079, 2263, 5603, 573, 822, 2460, 108, 236778, 236761, 5213, 236940, 48496, 84151, 42776, 1018, 568, 236828, 236761, 236819, 236767, 23073, 236768, 107, 139, 236772, 21617, 236787, 5054, 10503, 236764, 8253, 568, 182119, 3399, 236768, 107, 139, 236772, 34980, 12714, 236787, 8224, 81559, 7694, 833, 11858, 3004, 108, 1018, 34207, 29520, 236787, 1392, 236773, 25474, 9096, 9175, 33021, 1018, 107, 236772, 7343, 236787, 144382, 4585, 28260, 107, 236772, 236743, 236770, 236764, 236810, 236771, 236771, 23073, 107, 236772, 17243, 236787, 623, 21301, 10316, 2263, 1610, 4749, 1390, 9226, 33862, 236775, 107, 236772, 21617, 236787, 144382, 236764, 8253, 107, 236772, 21284, 577, 7436, 85505, 573, 822, 18669, 108, 1018, 236775, 74361, 7178, 506, 7940, 236775, 20303, 53121, 107, 236772, 45769, 236787, 236743, 236770, 236819, 594, 7691, 44030, 7940, 22616, 26497, 5410, 107, 236772, 32462, 29722, 236787, 14537, 236772, 66410, 15467, 55488, 225015, 65570, 107, 236772, 31278, 40263, 568, 72340, 78295, 1473, 107, 138, 236775, 237401, 237914, 245343, 238468, 238934, 111893, 568, 74361, 3223, 102296, 580, 506, 8858, 236789, 236751, 3392, 16291, 107, 138, 236775, 242111, 241921, 240771, 243047, 237789, 241824, 240576, 568, 128430, 9909, 503, 2107, 607, 10374, 936, 19424, 16291, 107, 236772, 128688, 236787, 29164, 528, 164750, 32960, 154924, 17484, 532, 11115, 58287, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 59336, 1982, 43285, 10396, 531, 506, 40718, 44100, 236881, 107, 236778, 236761, 39525, 4767, 11858, 4403, 1003, 506, 5410, 236881, 107, 236800, 236761, 12808, 573, 164750, 9226, 9780, 528, 144382, 531, 8324, 607, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1586, 1070, 6647, 4668, 573, 1041, 2260, 5975, 236761, 28344, 611, 1161, 506, 6647, 5904, 607, 5192, 4128, 696, 236772, 3118, 532, 506, 40035, 10252, 2307, 756, 3307, 2478, 236770, 236778, 236800, 103709, 1191, 236789, 500, 6412, 7467, 528, 4803, 54831, 4596, 531, 73973, 653, 8646, 6647, 753, 2613, 600, 2473, 3371, 531, 1023, 14225, 40775, 32530, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 12959, 236779, 24948, 1083, 78493, 3250, 1083, 623, 4199, 16785, 181169, 41956, 6285, 45405, 23195, 188464, 14225, 40775, 827, 623, 6265, 1083, 623, 45946, 26194, 827, 623, 6011, 1083, 623, 8551, 20179, 6878, 4914, 529, 7539, 11908, 56069, 135690, 1208, 23468, 236789, 236751, 166138, 9630, 236764, 22169, 496, 919, 5158, 62454, 4083, 1082, 7539, 3305, 10498, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 4477, 45405, 236772, 44215, 23179, 3714, 3250, 1083, 623, 47204, 58322, 52210, 72627, 53575, 18800, 531, 32319, 14376, 827, 623, 6265, 1083, 623, 46797, 236761, 854, 827, 623, 6011, 1083, 623, 26917, 2434, 9413, 27200, 16064, 16266, 529, 220717, 30567, 528, 7693, 1883, 25971, 236764, 35007, 3731, 531, 33085, 1813, 11139, 532, 22790, 3967, 10498, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 167550, 236772, 44215, 23179, 3714, 3250, 1083, 623, 38782, 17429, 528, 558, 231750, 32805, 34856, 76790, 827, 623, 6265, 1083, 623, 8551, 73771, 6498, 35654, 827, 623, 6011, 1083, 623, 29472, 4735, 2028, 29245, 51875, 529, 10324, 173367, 5375, 6865, 27773, 70444, 684, 32187, 5013, 9935, 528, 5441, 48223, 10498, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 69175, 7120, 236772, 7284, 17429, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 4803, 6647, 4668, 10308, 600, 2473, 2142, 822, 2260, 5975, 236764, 19541, 580, 73973, 532, 8646, 6647, 14050, 7798, 531, 506, 14225, 40775, 236787, 108, 236770, 236761, 5213, 4199, 16785, 181169, 41956, 6285, 45405, 23195, 188464, 14225, 40775, 1018, 138, 107, 139, 236829, 5825, 63508, 7621, 26194, 138, 107, 139, 236829, 24355, 63508, 3563, 20179, 11788, 4914, 529, 7539, 11908, 56069, 135690, 1208, 23468, 236789, 236751, 166138, 9630, 236764, 22169, 496, 919, 5158, 62454, 4083, 1082, 7539, 3305, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 4477, 45405, 236772, 44215, 236768, 108, 236778, 236761, 5213, 47204, 58322, 52210, 72627, 53575, 18800, 531, 32319, 14376, 1018, 138, 107, 139, 236829, 5825, 63508, 15007, 236761, 854, 138, 107, 139, 236829, 24355, 63508, 6498, 9413, 27200, 16064, 16266, 529, 220717, 30567, 528, 7693, 1883, 25971, 236764, 12809, 531, 33085, 1813, 11139, 532, 22790, 3967, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 167550, 236772, 44215, 236768, 108, 236800, 236761, 5213, 38782, 17429, 528, 558, 231750, 32805, 34856, 76790, 1018, 138, 107, 139, 236829, 5825, 63508, 175559, 6498, 35654, 138, 107, 139, 236829, 24355, 63508, 562, 5464, 4735, 2028, 29245, 51875, 529, 10324, 173367, 5375, 6865, 27773, 70444, 684, 32187, 5013, 9935, 528, 5441, 48223, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 69175, 7120, 236772, 7284, 17429, 236768, 108, 9208, 10308, 3371, 5467, 531, 10969, 62454, 532, 8646, 22888, 236764, 2440, 56069, 4588, 236764, 18481, 3731, 236764, 532, 124110, 16182, 3530, 531, 506, 14225, 40775, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 4889, 653, 4767, 5405, 236888, 106, 107, 105, 2364, 107, 818, 124110, 7319, 7296, 4676, 12956, 1041, 5700, 753, 506, 10324, 173367, 5375, 6865, 27773, 563, 1288, 496, 27858, 10562, 573, 1023, 4128, 236761, 28344, 611, 3927, 573, 69023, 600, 3249, 672, 3660, 528, 919, 8744, 236881, 6890, 506, 3927, 236779, 166127, 5904, 607, 506, 7609, 623, 98376, 82342, 5375, 6865, 27773, 70444, 236775, 531, 1586, 5405, 1041, 2260, 5975, 1451, 10763, 531, 1680, 1023, 2148, 5395, 236761, 564, 236789, 236753, 5278, 3831, 600, 8082, 506, 6647, 528, 15283, 3755, 573, 1908, 236772, 787, 20179, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 818, 14225, 40775, 236789, 236751, 115000, 58221, 236787, 669, 10324, 173367, 5375, 6865, 27773, 827, 623, 6163, 1083, 623, 8551, 1865, 10950, 44948, 827, 623, 7777, 1083, 623, 236776, 5268, 30386, 1131, 506, 10324, 173367, 5375, 6865, 27773, 607, 155690, 16097, 3587, 236761, 35649, 15416, 236764, 26804, 38073, 13682, 532, 124110, 6585, 528, 3606, 3755, 573, 1908, 236772, 156318, 10498, 623, 2883, 1083, 623, 2574, 1411, 787, 1865, 31524, 236761, 28282, 16343, 236761, 854, 236786, 9926, 173367, 25938, 107, 14937, 3250, 1083, 623, 98376, 82342, 236787, 669, 9516, 3656, 2981, 236789, 236751, 54009, 827, 623, 6163, 1083, 623, 45946, 164557, 827, 623, 7777, 1083, 623, 17295, 8451, 72558, 19005, 1679, 506, 6647, 4977, 506, 10324, 173367, 5375, 6865, 27773, 236764, 2440, 4803, 2958, 580, 38073, 17046, 532, 3399, 100181, 7880, 10498, 623, 2883, 1083, 623, 2574, 1411, 168725, 19079, 2093, 236761, 38337, 236786, 9926, 173367, 25938, 107, 14937, 3250, 1083, 623, 14713, 37615, 236787, 10824, 171693, 532, 506, 10324, 173367, 5375, 6865, 27773, 827, 623, 6163, 1083, 623, 25907, 10958, 7621, 47329, 827, 623, 7777, 1083, 623, 236776, 117516, 11635, 607, 206880, 3587, 236761, 4534, 24148, 24048, 506, 62454, 4083, 529, 506, 10324, 173367, 5375, 6865, 27773, 532, 1061, 21255, 573, 506, 14225, 40775, 10498, 623, 2883, 1083, 623, 2574, 1411, 236749, 14446, 33856, 13807, 236761, 19751, 3973, 236761, 854, 236786, 9926, 173367, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1806, 15283, 69023, 600, 3249, 506, 10324, 173367, 5375, 6865, 27773, 528, 21964, 236764, 1908, 236772, 79205, 3755, 573, 822, 2260, 5975, 236787, 108, 236770, 236761, 5213, 236775, 818, 14225, 40775, 236789, 236751, 115000, 58221, 236787, 669, 10324, 173367, 5375, 6865, 27773, 236775, 1018, 138, 107, 139, 236829, 17295, 63508, 83477, 10950, 44948, 138, 107, 139, 236829, 9770, 63508, 1339, 1929, 16097, 3587, 236761, 35649, 15416, 15948, 38073, 13682, 532, 124110, 6585, 528, 3606, 3755, 236761, 138, 107, 139, 236840, 27752, 1590, 5457, 2574, 1411, 787, 1865, 31524, 236761, 28282, 16343, 236761, 854, 236786, 9926, 173367, 236768, 108, 236778, 236761, 5213, 236775, 98376, 82342, 236787, 669, 9516, 3656, 2981, 236789, 236751, 54009, 236775, 1018, 138, 107, 139, 236829, 17295, 63508, 7621, 164557, 568, 26749, 72558, 236768, 138, 107, 139, 236829, 9770, 63508, 199377, 1679, 506, 6647, 4977, 506, 10202, 236764, 2440, 17046, 2958, 532, 3399, 100181, 236761, 138, 107, 139, 236840, 27752, 1590, 5457, 2574, 1411, 168725, 19079, 2093, 236761, 38337, 236786, 9926, 173367, 236768, 108, 236800, 236761, 5213, 236775, 14713, 37615, 236787, 10824, 171693, 532, 506, 10324, 173367, 5375, 6865, 27773, 236775, 1018, 138, 107, 139, 236829, 17295, 63508, 40775, 7621, 47329, 138, 107, 139, 236829, 9770, 63508, 33502, 1353, 11635, 607, 206880, 3587, 236761, 4534, 24148, 580, 506, 10202, 236858, 236751, 4083, 532, 10969, 4100, 236761, 138, 107, 139, 236840, 27752, 1590, 5457, 2574, 1411, 236749, 14446, 33856, 13807, 236761, 19751, 3973, 236761, 854, 236786, 9926, 173367, 236768, 108, 9208, 24111, 7002, 11639, 8052, 607, 54491, 236764, 3043, 1091, 4011, 573, 496, 2870, 9998, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 42788, 1091, 653, 8159, 56656, 5417, 236888, 236743, 244906, 247173, 106, 107, 105, 2364, 107, 30092, 611, 1601, 786, 1586, 14942, 9979, 528, 7693, 1883, 1298, 1023, 2260, 5975, 3295, 2473, 3892, 236881, 6890, 506, 9979, 236779, 26582, 236779, 3255, 511, 68735, 5904, 607, 1883, 22977, 3393, 756, 14015, 236789, 532, 40035, 10252, 2307, 756, 3307, 2478, 236770, 236778, 236800, 6748, 564, 236789, 236753, 1133, 531, 1460, 837, 8904, 3541, 184559, 2473, 735, 3295, 1015, 1451, 1295, 11138, 531, 1023, 2148, 5395, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53343, 1083, 11058, 112421, 827, 623, 96019, 5537, 827, 623, 4225, 107763, 827, 623, 96226, 722, 827, 623, 236799, 4079, 3700, 827, 623, 77143, 210367, 827, 623, 38822, 67701, 827, 623, 83871, 530, 236772, 151990, 2624, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 9979, 528, 7693, 1883, 568, 14015, 236768, 3541, 184559, 600, 1451, 577, 13139, 573, 1295, 186420, 236787, 108, 236772, 5213, 77143, 210367, 66515, 181141, 8710, 529, 184559, 236764, 1164, 236743, 236810, 7635, 3121, 236761, 138, 107, 236772, 5213, 38822, 67701, 66515, 45941, 2578, 236770, 236810, 7635, 55591, 529, 184559, 236764, 496, 2822, 5697, 58018, 236761, 138, 107, 236772, 5213, 83871, 530, 236772, 151990, 2624, 66515, 77912, 236743, 236800, 236771, 7635, 55591, 236764, 15283, 4323, 564, 236772, 236810, 236761, 138, 108, 9208, 8904, 659, 92016, 528, 506, 2900, 854, 5796, 2433, 236764, 3043, 1091, 7436, 573, 1295, 11138, 26937, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 15468, 16266, 653, 47154, 22086, 236888, 236743, 245701, 244343, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1586, 1070, 6647, 4668, 573, 1041, 2260, 5975, 236761, 28344, 611, 1161, 506, 6647, 5904, 607, 5192, 4128, 696, 236772, 3118, 532, 506, 40035, 10252, 2307, 756, 3307, 2478, 236770, 236778, 236800, 103709, 1191, 236789, 500, 6412, 7467, 528, 4803, 54831, 4596, 531, 73973, 653, 8646, 6647, 753, 2613, 600, 2473, 3371, 531, 1023, 14225, 40775, 32530, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 12959, 236779, 24948, 1083, 78493, 3250, 1083, 623, 4199, 16785, 181169, 41956, 6285, 45405, 23195, 188464, 14225, 40775, 827, 623, 6265, 1083, 623, 45946, 26194, 827, 623, 6011, 1083, 623, 8551, 20179, 6878, 4914, 529, 7539, 11908, 56069, 135690, 1208, 23468, 236789, 236751, 166138, 9630, 236764, 22169, 496, 919, 5158, 62454, 4083, 1082, 7539, 3305, 10498, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 4477, 45405, 236772, 44215, 23179, 3714, 3250, 1083, 623, 47204, 58322, 52210, 72627, 53575, 18800, 531, 32319, 14376, 827, 623, 6265, 1083, 623, 46797, 236761, 854, 827, 623, 6011, 1083, 623, 26917, 2434, 9413, 27200, 16064, 16266, 529, 220717, 30567, 528, 7693, 1883, 25971, 236764, 35007, 3731, 531, 33085, 1813, 11139, 532, 22790, 3967, 10498, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 167550, 236772, 44215, 23179, 3714, 3250, 1083, 623, 38782, 17429, 528, 558, 231750, 32805, 34856, 76790, 827, 623, 6265, 1083, 623, 8551, 73771, 6498, 35654, 827, 623, 6011, 1083, 623, 29472, 4735, 2028, 29245, 51875, 529, 10324, 173367, 5375, 6865, 27773, 70444, 684, 32187, 5013, 9935, 528, 5441, 48223, 10498, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 69175, 7120, 236772, 7284, 17429, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 4803, 6647, 4668, 10308, 600, 2473, 2142, 822, 2260, 5975, 236764, 19541, 580, 73973, 532, 8646, 6647, 14050, 7798, 531, 506, 14225, 40775, 236787, 108, 236770, 236761, 5213, 4199, 16785, 181169, 41956, 6285, 45405, 23195, 188464, 14225, 40775, 1018, 138, 107, 139, 236829, 5825, 63508, 7621, 26194, 138, 107, 139, 236829, 24355, 63508, 3563, 20179, 11788, 4914, 529, 7539, 11908, 56069, 135690, 1208, 23468, 236789, 236751, 166138, 9630, 236764, 22169, 496, 919, 5158, 62454, 4083, 1082, 7539, 3305, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 4477, 45405, 236772, 44215, 236768, 108, 236778, 236761, 5213, 47204, 58322, 52210, 72627, 53575, 18800, 531, 32319, 14376, 1018, 138, 107, 139, 236829, 5825, 63508, 15007, 236761, 854, 138, 107, 139, 236829, 24355, 63508, 6498, 9413, 27200, 16064, 16266, 529, 220717, 30567, 528, 7693, 1883, 25971, 236764, 12809, 531, 33085, 1813, 11139, 532, 22790, 3967, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 167550, 236772, 44215, 236768, 108, 236800, 236761, 5213, 38782, 17429, 528, 558, 231750, 32805, 34856, 76790, 1018, 138, 107, 139, 236829, 5825, 63508, 175559, 6498, 35654, 138, 107, 139, 236829, 24355, 63508, 562, 5464, 4735, 2028, 29245, 51875, 529, 10324, 173367, 5375, 6865, 27773, 70444, 684, 32187, 5013, 9935, 528, 5441, 48223, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 69175, 7120, 236772, 7284, 17429, 236768, 108, 9208, 10308, 3371, 5467, 531, 10969, 62454, 532, 8646, 22888, 236764, 2440, 56069, 4588, 236764, 18481, 3731, 236764, 532, 124110, 16182, 3530, 531, 506, 14225, 40775, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 4889, 653, 4767, 5405, 236888, 106, 107, 105, 2364, 107, 818, 124110, 7319, 7296, 4676, 12956, 1041, 5700, 753, 506, 10324, 173367, 5375, 6865, 27773, 563, 1288, 496, 27858, 10562, 573, 1023, 4128, 236761, 28344, 611, 3927, 573, 69023, 600, 3249, 672, 3660, 528, 919, 8744, 236881, 6890, 506, 3927, 236779, 166127, 5904, 607, 506, 7609, 623, 98376, 82342, 5375, 6865, 27773, 70444, 236775, 531, 1586, 5405, 1041, 2260, 5975, 1451, 10763, 531, 1680, 1023, 2148, 5395, 236761, 564, 236789, 236753, 5278, 3831, 600, 8082, 506, 6647, 528, 15283, 3755, 573, 1908, 236772, 787, 20179, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 818, 14225, 40775, 236789, 236751, 115000, 58221, 236787, 669, 10324, 173367, 5375, 6865, 27773, 827, 623, 6163, 1083, 623, 8551, 1865, 10950, 44948, 827, 623, 7777, 1083, 623, 236776, 5268, 30386, 1131, 506, 10324, 173367, 5375, 6865, 27773, 607, 155690, 16097, 3587, 236761, 35649, 15416, 236764, 26804, 38073, 13682, 532, 124110, 6585, 528, 3606, 3755, 573, 1908, 236772, 156318, 10498, 623, 2883, 1083, 623, 2574, 1411, 787, 1865, 31524, 236761, 28282, 16343, 236761, 854, 236786, 9926, 173367, 25938, 107, 14937, 3250, 1083, 623, 98376, 82342, 236787, 669, 9516, 3656, 2981, 236789, 236751, 54009, 827, 623, 6163, 1083, 623, 45946, 164557, 827, 623, 7777, 1083, 623, 17295, 8451, 72558, 19005, 1679, 506, 6647, 4977, 506, 10324, 173367, 5375, 6865, 27773, 236764, 2440, 4803, 2958, 580, 38073, 17046, 532, 3399, 100181, 7880, 10498, 623, 2883, 1083, 623, 2574, 1411, 168725, 19079, 2093, 236761, 38337, 236786, 9926, 173367, 25938, 107, 14937, 3250, 1083, 623, 14713, 37615, 236787, 10824, 171693, 532, 506, 10324, 173367, 5375, 6865, 27773, 827, 623, 6163, 1083, 623, 25907, 10958, 7621, 47329, 827, 623, 7777, 1083, 623, 236776, 117516, 11635, 607, 206880, 3587, 236761, 4534, 24148, 24048, 506, 62454, 4083, 529, 506, 10324, 173367, 5375, 6865, 27773, 532, 1061, 21255, 573, 506, 14225, 40775, 10498, 623, 2883, 1083, 623, 2574, 1411, 236749, 14446, 33856, 13807, 236761, 19751, 3973, 236761, 854, 236786, 9926, 173367, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1806, 15283, 69023, 600, 3249, 506, 10324, 173367, 5375, 6865, 27773, 528, 21964, 236764, 1908, 236772, 79205, 3755, 573, 822, 2260, 5975, 236787, 108, 236770, 236761, 5213, 236775, 818, 14225, 40775, 236789, 236751, 115000, 58221, 236787, 669, 10324, 173367, 5375, 6865, 27773, 236775, 1018, 138, 107, 139, 236829, 17295, 63508, 83477, 10950, 44948, 138, 107, 139, 236829, 9770, 63508, 1339, 1929, 16097, 3587, 236761, 35649, 15416, 15948, 38073, 13682, 532, 124110, 6585, 528, 3606, 3755, 236761, 138, 107, 139, 236840, 27752, 1590, 5457, 2574, 1411, 787, 1865, 31524, 236761, 28282, 16343, 236761, 854, 236786, 9926, 173367, 236768, 108, 236778, 236761, 5213, 236775, 98376, 82342, 236787, 669, 9516, 3656, 2981, 236789, 236751, 54009, 236775, 1018, 138, 107, 139, 236829, 17295, 63508, 7621, 164557, 568, 26749, 72558, 236768, 138, 107, 139, 236829, 9770, 63508, 199377, 1679, 506, 6647, 4977, 506, 10202, 236764, 2440, 17046, 2958, 532, 3399, 100181, 236761, 138, 107, 139, 236840, 27752, 1590, 5457, 2574, 1411, 168725, 19079, 2093, 236761, 38337, 236786, 9926, 173367, 236768, 108, 236800, 236761, 5213, 236775, 14713, 37615, 236787, 10824, 171693, 532, 506, 10324, 173367, 5375, 6865, 27773, 236775, 1018, 138, 107, 139, 236829, 17295, 63508, 40775, 7621, 47329, 138, 107, 139, 236829, 9770, 63508, 33502, 1353, 11635, 607, 206880, 3587, 236761, 4534, 24148, 580, 506, 10202, 236858, 236751, 4083, 532, 10969, 4100, 236761, 138, 107, 139, 236840, 27752, 1590, 5457, 2574, 1411, 236749, 14446, 33856, 13807, 236761, 19751, 3973, 236761, 854, 236786, 9926, 173367, 236768, 108, 9208, 24111, 7002, 11639, 8052, 607, 54491, 236764, 3043, 1091, 4011, 573, 496, 2870, 9998, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 42788, 1091, 653, 8159, 56656, 5417, 236888, 236743, 244906, 247173, 106, 107, 105, 2364, 107, 30092, 611, 1601, 786, 1586, 14942, 9979, 528, 7693, 1883, 1298, 1023, 2260, 5975, 3295, 2473, 3892, 236881, 6890, 506, 9979, 236779, 26582, 236779, 3255, 511, 68735, 5904, 607, 1883, 22977, 3393, 756, 14015, 236789, 532, 40035, 10252, 2307, 756, 3307, 2478, 236770, 236778, 236800, 6748, 564, 236789, 236753, 1133, 531, 1460, 837, 8904, 3541, 184559, 2473, 735, 3295, 1015, 1451, 1295, 11138, 531, 1023, 2148, 5395, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53343, 1083, 11058, 112421, 827, 623, 96019, 5537, 827, 623, 4225, 107763, 827, 623, 96226, 722, 827, 623, 236799, 4079, 3700, 827, 623, 77143, 210367, 827, 623, 38822, 67701, 827, 623, 83871, 530, 236772, 151990, 2624, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 9979, 528, 7693, 1883, 568, 14015, 236768, 3541, 184559, 600, 1451, 577, 13139, 573, 1295, 186420, 236787, 108, 236772, 5213, 77143, 210367, 66515, 181141, 8710, 529, 184559, 236764, 1164, 236743, 236810, 7635, 3121, 236761, 138, 107, 236772, 5213, 38822, 67701, 66515, 45941, 2578, 236770, 236810, 7635, 55591, 529, 184559, 236764, 496, 2822, 5697, 58018, 236761, 138, 107, 236772, 5213, 83871, 530, 236772, 151990, 2624, 66515, 77912, 236743, 236800, 236771, 7635, 55591, 236764, 15283, 4323, 564, 236772, 236810, 236761, 138, 108, 9208, 8904, 659, 92016, 528, 506, 2900, 854, 5796, 2433, 236764, 3043, 1091, 7436, 573, 1295, 11138, 26937, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 15468, 16266, 653, 47154, 22086, 236888, 236743, 245701, 244343, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 560, 1010, 9795, 496, 4430, 13901, 1070, 6828, 7760, 236764, 532, 901, 236789, 500, 6412, 7467, 528, 14896, 18300, 236761, 564, 6950, 1699, 506, 120674, 2550, 3514, 633, 236772, 15279, 618, 496, 14966, 236764, 840, 564, 1202, 531, 8091, 506, 5396, 14900, 573, 496, 2321, 4699, 236761, 3199, 611, 2426, 506, 633, 236772, 15279, 573, 35620, 568, 5911, 11319, 236768, 532, 992, 9947, 568, 226046, 20625, 564, 5630, 6013, 600, 3715, 14900, 10128, 15281, 4867, 2404, 236764, 834, 672, 795, 1601, 775, 10769, 910, 52669, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 5911, 11319, 827, 623, 236760, 236779, 8318, 1083, 236743, 236832, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 226046, 827, 623, 2160, 24931, 3514, 236779, 236760, 236779, 8318, 1083, 236743, 236832, 236764, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 120674, 2550, 3514, 633, 236772, 68430, 573, 506, 15633, 4699, 236787, 108, 236772, 5213, 132473, 568, 5911, 11319, 1473, 1018, 633, 236772, 15279, 578, 5213, 236832, 1018, 138, 107, 236772, 5213, 31319, 568, 226046, 1473, 1018, 633, 236772, 15279, 578, 5213, 236832, 1018, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236768, 108, 10354, 91636, 236787, 107, 818, 120674, 2550, 3514, 633, 236772, 15279, 21280, 699, 236743, 236771, 531, 236743, 236819, 236764, 607, 3715, 14900, 17674, 15281, 4867, 2404, 236761, 10508, 4699, 6317, 5213, 236832, 125546, 22169, 9150, 16317, 52669, 236761, 9947, 236789, 236751, 6317, 5132, 496, 4803, 3433, 568, 36817, 236743, 236778, 236771, 236778, 236800, 779, 1651, 35620, 236789, 236751, 3433, 563, 116433, 236761, 1701, 19276, 3671, 236764, 611, 2473, 1966, 4767, 19455, 568, 236744, 236761, 236759, 1126, 46407, 236764, 30990, 236764, 8172, 9286, 236768, 16195, 1239, 14900, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 560, 1010, 9795, 496, 4430, 13901, 1070, 6828, 7760, 236764, 532, 901, 236789, 500, 6412, 7467, 528, 14896, 18300, 236761, 564, 6950, 1699, 506, 120674, 2550, 3514, 633, 236772, 15279, 618, 496, 14966, 236764, 840, 564, 1202, 531, 8091, 506, 5396, 14900, 573, 496, 2321, 4699, 236761, 3199, 611, 2426, 506, 633, 236772, 15279, 573, 35620, 568, 5911, 11319, 236768, 532, 992, 9947, 568, 226046, 20625, 564, 5630, 6013, 600, 3715, 14900, 10128, 15281, 4867, 2404, 236764, 834, 672, 795, 1601, 775, 10769, 910, 52669, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 5911, 11319, 827, 623, 236760, 236779, 8318, 1083, 236743, 236832, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 226046, 827, 623, 2160, 24931, 3514, 236779, 236760, 236779, 8318, 1083, 236743, 236832, 236764, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 120674, 2550, 3514, 633, 236772, 68430, 573, 506, 15633, 4699, 236787, 108, 236772, 5213, 132473, 568, 5911, 11319, 1473, 1018, 633, 236772, 15279, 578, 5213, 236832, 1018, 138, 107, 236772, 5213, 31319, 568, 226046, 1473, 1018, 633, 236772, 15279, 578, 5213, 236832, 1018, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236768, 108, 10354, 91636, 236787, 107, 818, 120674, 2550, 3514, 633, 236772, 15279, 21280, 699, 236743, 236771, 531, 236743, 236819, 236764, 607, 3715, 14900, 17674, 15281, 4867, 2404, 236761, 10508, 4699, 6317, 5213, 236832, 125546, 22169, 9150, 16317, 52669, 236761, 9947, 236789, 236751, 6317, 5132, 496, 4803, 3433, 568, 36817, 236743, 236778, 236771, 236778, 236800, 779, 1651, 35620, 236789, 236751, 3433, 563, 116433, 236761, 1701, 19276, 3671, 236764, 611, 2473, 1966, 4767, 19455, 568, 236744, 236761, 236759, 1126, 46407, 236764, 30990, 236764, 8172, 9286, 236768, 16195, 1239, 14900, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1460, 10595, 573, 506, 28457, 16169, 236772, 236770, 236771, 236771, 236771, 90295, 236812, 33640, 236764, 840, 1186, 1724, 607, 496, 14470, 529, 236743, 236812, 653, 3715, 236761, 106, 107, 105, 4368, 107, 2021, 12270, 506, 10595, 573, 506, 28457, 16169, 236772, 236770, 236771, 236771, 236771, 90295, 236812, 33640, 236764, 564, 1202, 506, 1698, 236789, 236751, 4709, 31744, 568, 2371, 1204, 653, 1698, 5853, 769, 28344, 611, 2847, 506, 9447, 1204, 653, 9128, 506, 4338, 1698, 5853, 573, 672, 2028, 236881, 9920, 564, 735, 600, 236764, 564, 740, 33205, 784, 10595, 532, 5957, 1091, 531, 1407, 1186, 1724, 607, 496, 14470, 529, 236743, 236812, 653, 3715, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1460, 10595, 573, 506, 28457, 16169, 236772, 236770, 236771, 236771, 236771, 90295, 236812, 33640, 236764, 840, 1186, 1724, 607, 496, 14470, 529, 236743, 236812, 653, 3715, 236761, 106, 107, 105, 4368, 107, 2021, 12270, 506, 10595, 573, 506, 28457, 16169, 236772, 236770, 236771, 236771, 236771, 90295, 236812, 33640, 236764, 564, 1202, 506, 1698, 236789, 236751, 4709, 31744, 568, 2371, 1204, 653, 1698, 5853, 769, 28344, 611, 2847, 506, 9447, 1204, 653, 9128, 506, 4338, 1698, 5853, 573, 672, 2028, 236881, 9920, 564, 735, 600, 236764, 564, 740, 33205, 784, 10595, 532, 5957, 1091, 531, 1407, 1186, 1724, 607, 496, 14470, 529, 236743, 236812, 653, 3715, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2426, 506, 1873, 990, 528, 149272, 236764, 20615, 236881, 564, 1202, 531, 10368, 496, 2246, 607, 1023, 4844, 14073, 2434, 532, 1461, 531, 9128, 506, 2263, 990, 1680, 15656, 52416, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236770, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 827, 623, 13319, 1083, 623, 90301, 1412, 27135, 827, 623, 99883, 1083, 623, 47158, 236786, 103699, 827, 623, 6047, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236770, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236812, 236810, 25938, 106, 107, 105, 4368, 107, 818, 1873, 2263, 990, 528, 149272, 236764, 20615, 568, 47158, 236786, 103699, 100468, 236768, 563, 5213, 236828, 236787, 236800, 236771, 236787, 236812, 236810, 8151, 84750, 236743, 108, 121789, 1677, 711, 15739, 58745, 16011, 990, 236764, 834, 672, 990, 7474, 9958, 1051, 236772, 979, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 607, 39252, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 49378, 149272, 236789, 236751, 990, 236761, 28344, 611, 992, 2426, 506, 1873, 990, 528, 7383, 13245, 236881, 564, 1461, 531, 5330, 993, 236789, 236751, 951, 19381, 607, 506, 990, 4954, 1056, 39252, 506, 2246, 607, 1023, 4844, 14073, 16934, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19361, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 827, 623, 99883, 1083, 623, 47158, 236786, 18939, 236779, 12165, 7220, 827, 623, 13319, 1083, 623, 18939, 13245, 827, 623, 3255, 1083, 623, 52247, 827, 623, 14801, 1083, 623, 3118, 25938, 106, 107, 105, 4368, 107, 818, 1873, 2263, 990, 528, 7383, 13245, 236764, 7151, 568, 47158, 236786, 18939, 236779, 12165, 7220, 100468, 236768, 563, 5213, 236828, 236787, 236800, 236771, 236787, 236812, 236810, 8151, 1018, 580, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 236743, 108, 10282, 236787, 7383, 13245, 74250, 14225, 202225, 7578, 568, 14346, 236774, 236768, 1913, 672, 2846, 236764, 837, 563, 59528, 236772, 236832, 236761, 149272, 568, 121789, 236768, 7474, 580, 17587, 13029, 7578, 568, 182055, 236764, 59528, 236772, 236832, 236768, 1051, 236772, 979, 2180, 58745, 16011, 30981, 236761, 1174, 2820, 1800, 11024, 795, 8913, 528, 990, 4954, 573, 822, 2246, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 26937, 236888, 106, 107, 105, 2364, 107, 12879, 573, 49378, 506, 990, 25000, 1534, 149272, 532, 7383, 13245, 236761, 13677, 201585, 506, 5395, 24372, 236764, 1451, 611, 16807, 768, 506, 4553, 8610, 756, 98729, 17470, 95526, 236761, 854, 236789, 563, 4341, 236881, 564, 1461, 531, 5330, 1023, 52416, 5370, 506, 2434, 236789, 236751, 5125, 19246, 2180, 4342, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236764, 623, 2763, 49090, 1083, 2416, 236764, 623, 19645, 1083, 623, 98729, 17470, 95526, 236761, 854, 827, 623, 107996, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 4553, 8610, 5213, 98729, 17470, 95526, 236761, 854, 1018, 563, 5213, 4730, 1018, 532, 563, 5213, 2217, 496, 51415, 236786, 103887, 4553, 3421, 1018, 2509, 236761, 236743, 108, 2094, 2820, 822, 5395, 52416, 3265, 531, 19246, 657, 672, 8610, 1374, 5370, 5125, 2434, 3295, 2180, 4342, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 28250, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2426, 506, 1873, 990, 528, 149272, 236764, 20615, 236881, 564, 1202, 531, 10368, 496, 2246, 607, 1023, 4844, 14073, 2434, 532, 1461, 531, 9128, 506, 2263, 990, 1680, 15656, 52416, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236770, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 827, 623, 13319, 1083, 623, 90301, 1412, 27135, 827, 623, 99883, 1083, 623, 47158, 236786, 103699, 827, 623, 6047, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236770, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236812, 236810, 25938, 106, 107, 105, 4368, 107, 818, 1873, 2263, 990, 528, 149272, 236764, 20615, 568, 47158, 236786, 103699, 100468, 236768, 563, 5213, 236828, 236787, 236800, 236771, 236787, 236812, 236810, 8151, 84750, 236743, 108, 121789, 1677, 711, 15739, 58745, 16011, 990, 236764, 834, 672, 990, 7474, 9958, 1051, 236772, 979, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 607, 39252, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 49378, 149272, 236789, 236751, 990, 236761, 28344, 611, 992, 2426, 506, 1873, 990, 528, 7383, 13245, 236881, 564, 1461, 531, 5330, 993, 236789, 236751, 951, 19381, 607, 506, 990, 4954, 1056, 39252, 506, 2246, 607, 1023, 4844, 14073, 16934, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19361, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 827, 623, 99883, 1083, 623, 47158, 236786, 18939, 236779, 12165, 7220, 827, 623, 13319, 1083, 623, 18939, 13245, 827, 623, 3255, 1083, 623, 52247, 827, 623, 14801, 1083, 623, 3118, 25938, 106, 107, 105, 4368, 107, 818, 1873, 2263, 990, 528, 7383, 13245, 236764, 7151, 568, 47158, 236786, 18939, 236779, 12165, 7220, 100468, 236768, 563, 5213, 236828, 236787, 236800, 236771, 236787, 236812, 236810, 8151, 1018, 580, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 236743, 108, 10282, 236787, 7383, 13245, 74250, 14225, 202225, 7578, 568, 14346, 236774, 236768, 1913, 672, 2846, 236764, 837, 563, 59528, 236772, 236832, 236761, 149272, 568, 121789, 236768, 7474, 580, 17587, 13029, 7578, 568, 182055, 236764, 59528, 236772, 236832, 236768, 1051, 236772, 979, 2180, 58745, 16011, 30981, 236761, 1174, 2820, 1800, 11024, 795, 8913, 528, 990, 4954, 573, 822, 2246, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 26937, 236888, 106, 107, 105, 2364, 107, 12879, 573, 49378, 506, 990, 25000, 1534, 149272, 532, 7383, 13245, 236761, 13677, 201585, 506, 5395, 24372, 236764, 1451, 611, 16807, 768, 506, 4553, 8610, 756, 98729, 17470, 95526, 236761, 854, 236789, 563, 4341, 236881, 564, 1461, 531, 5330, 1023, 52416, 5370, 506, 2434, 236789, 236751, 5125, 19246, 2180, 4342, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236764, 623, 2763, 49090, 1083, 2416, 236764, 623, 19645, 1083, 623, 98729, 17470, 95526, 236761, 854, 827, 623, 107996, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 4553, 8610, 5213, 98729, 17470, 95526, 236761, 854, 1018, 563, 5213, 4730, 1018, 532, 563, 5213, 2217, 496, 51415, 236786, 103887, 4553, 3421, 1018, 2509, 236761, 236743, 108, 2094, 2820, 822, 5395, 52416, 3265, 531, 19246, 657, 672, 8610, 1374, 5370, 5125, 2434, 3295, 2180, 4342, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 28250, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 33205, 13611, 1938, 1003, 506, 18300, 607, 84390, 62606, 87342, 236798, 236764, 16861, 3692, 236764, 532, 65834, 699, 506, 58290, 19666, 9299, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 506, 58290, 19666, 9299, 653, 506, 5596, 531, 33205, 2862, 2436, 1262, 1343, 506, 5633, 2487, 6436, 236761, 669, 3847, 6436, 1186, 1894, 36963, 236772, 10619, 1262, 568, 18500, 6527, 532, 14864, 28494, 769, 1701, 2862, 1938, 236764, 611, 1093, 1202, 496, 1607, 9299, 12434, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 33205, 13611, 1938, 1003, 506, 18300, 607, 84390, 62606, 87342, 236798, 236764, 16861, 3692, 236764, 532, 65834, 699, 506, 58290, 19666, 9299, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 506, 58290, 19666, 9299, 653, 506, 5596, 531, 33205, 2862, 2436, 1262, 1343, 506, 5633, 2487, 6436, 236761, 669, 3847, 6436, 1186, 1894, 36963, 236772, 10619, 1262, 568, 18500, 6527, 532, 14864, 28494, 769, 1701, 2862, 1938, 236764, 611, 1093, 1202, 496, 1607, 9299, 12434, 236761, 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, 21155, 236787, 564, 236789, 236757, 2844, 580, 496, 1262, 44751, 2203, 1003, 4185, 7363, 1610, 18560, 532, 1202, 531, 17866, 1070, 2307, 3755, 1131, 10969, 15579, 573, 614, 21931, 4187, 236761, 28344, 611, 1171, 1601, 786, 8701, 837, 15579, 528, 506, 22160, 7741, 9299, 735, 10969, 24812, 14003, 5143, 607, 9979, 3224, 573, 28239, 7363, 1610, 18583, 237028, 5282, 15687, 236764, 30342, 29150, 236764, 532, 26510, 236881, 564, 236789, 859, 1202, 910, 22977, 17253, 531, 6518, 506, 45375, 9668, 3209, 236761, 46260, 2094, 2864, 48110, 1938, 236779, 158944, 684, 20226, 5192, 1262, 24271, 684, 42442, 236786, 50771, 4403, 236764, 532, 7093, 872, 3402, 2430, 236779, 39459, 236779, 26661, 684, 23364, 506, 25075, 13959, 1161, 1624, 12016, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 70496, 1083, 78493, 1201, 1083, 623, 51423, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236770, 1083, 623, 893, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236800, 1083, 623, 893, 236756, 827, 623, 105621, 1083, 78493, 1201, 1083, 623, 34692, 827, 623, 11208, 236779, 3970, 1083, 623, 893, 236772, 4070, 827, 623, 13647, 1083, 623, 34692, 23179, 3714, 1201, 1083, 623, 93859, 827, 623, 11208, 236779, 3970, 1083, 623, 893, 236772, 2293, 827, 623, 13647, 1083, 623, 93859, 236775, 200808, 3714, 1201, 1083, 623, 227601, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236770, 1083, 623, 693, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236800, 1083, 623, 2152, 827, 623, 105621, 1083, 78493, 1201, 1083, 623, 71494, 827, 623, 11208, 236779, 3970, 1083, 623, 693, 236772, 12357, 827, 623, 13647, 1083, 623, 71494, 23179, 3714, 1201, 1083, 623, 128964, 827, 623, 11208, 236779, 3970, 1083, 623, 693, 236772, 7847, 827, 623, 13647, 1083, 623, 128964, 236775, 200808, 3714, 1201, 1083, 623, 27832, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236770, 1083, 623, 501, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236800, 1083, 623, 1094, 827, 623, 105621, 1083, 78493, 1201, 1083, 623, 55579, 827, 623, 11208, 236779, 3970, 1083, 623, 501, 236772, 22258, 827, 623, 13647, 1083, 623, 55579, 23179, 3714, 1201, 1083, 623, 27211, 15305, 827, 623, 11208, 236779, 3970, 1083, 623, 501, 236772, 8242, 827, 623, 13647, 1083, 623, 27211, 15305, 236775, 200808, 3714, 1201, 1083, 623, 80353, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236770, 1083, 623, 507, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236800, 1083, 623, 127676, 827, 623, 105621, 1083, 78493, 1201, 1083, 623, 109324, 827, 623, 11208, 236779, 3970, 1083, 623, 507, 236772, 1425, 827, 623, 13647, 1083, 623, 109324, 23179, 3714, 1201, 1083, 623, 85226, 827, 623, 11208, 236779, 3970, 1083, 623, 507, 236772, 20074, 827, 623, 13647, 1083, 623, 85226, 236775, 15947, 165075, 106, 107, 105, 4368, 107, 22515, 580, 506, 22160, 7741, 9299, 1262, 532, 822, 3213, 580, 7363, 1610, 73696, 236764, 1590, 659, 506, 7798, 15579, 607, 10969, 24812, 19240, 531, 1724, 9979, 236787, 108, 236770, 236761, 5213, 89946, 236764, 9405, 1018, 138, 107, 139, 236772, 5213, 51423, 568, 34692, 18572, 62902, 138, 107, 141, 32279, 236743, 236825, 236800, 236819, 236772, 236770, 236787, 2165, 893, 236929, 1109, 22977, 236743, 236825, 236800, 236819, 236772, 236800, 236787, 2165, 893, 236756, 236929, 1109, 19987, 3393, 236787, 2165, 893, 236772, 4070, 236929, 108, 236778, 236761, 5213, 121175, 29150, 236764, 14600, 1018, 138, 107, 139, 236772, 5213, 227601, 568, 71494, 18572, 62902, 138, 107, 141, 32279, 236743, 236825, 236800, 236819, 236772, 236770, 236787, 2165, 693, 236929, 1109, 22977, 236743, 236825, 236800, 236819, 236772, 236800, 236787, 2165, 2152, 236929, 1109, 19987, 3393, 236787, 2165, 693, 236772, 12357, 236929, 108, 236800, 236761, 5213, 169148, 236764, 8187, 1018, 138, 107, 139, 236772, 5213, 27832, 568, 55579, 18572, 62902, 138, 107, 141, 32279, 236743, 236825, 236800, 236819, 236772, 236770, 236787, 2165, 501, 236929, 1109, 22977, 236743, 236825, 236800, 236819, 236772, 236800, 236787, 2165, 1094, 236929, 1109, 19987, 3393, 236787, 2165, 501, 236772, 22258, 236929, 108, 818, 9299, 992, 5132, 14361, 24812, 568, 236744, 236761, 236759, 1126, 2165, 507, 236772, 1425, 236929, 573, 24423, 236764, 2165, 507, 236772, 20074, 236929, 573, 13251, 779, 837, 1451, 577, 7798, 768, 611, 6778, 531, 9979, 1133, 44135, 48111, 653, 13251, 4085, 236761, 21284, 611, 1133, 45375, 573, 3530, 3755, 528, 1239, 15579, 2148, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 2765, 45375, 573, 506, 7157, 3755, 2148, 236888, 28344, 611, 17866, 1239, 7363, 1610, 236772, 10619, 4171, 1131, 506, 1806, 10969, 24812, 692, 8385, 236787, 753, 5213, 236775, 236757, 1762, 236775, 1018, 753, 5213, 236775, 22045, 54936, 236775, 1018, 753, 5213, 236775, 212937, 1610, 236775, 1018, 753, 5213, 236775, 90548, 21104, 236775, 1018, 753, 5213, 236775, 30419, 11764, 236775, 1018, 6890, 506, 10969, 17253, 2165, 893, 236772, 4070, 8347, 2165, 693, 236772, 12357, 8347, 532, 2165, 501, 236772, 22258, 21233, 6542, 236764, 1651, 692, 236858, 500, 10317, 580, 13959, 236764, 1451, 611, 8134, 768, 1027, 529, 1239, 3755, 2473, 6081, 112922, 210350, 528, 2263, 123577, 568, 236744, 236761, 236759, 1126, 496, 3658, 573, 623, 22045, 54936, 236775, 600, 12054, 38875, 528, 26510, 7728, 236761, 5860, 20625, 46260, 2094, 28402, 580, 506, 6517, 5192, 1694, 684, 14253, 625, 531, 12625, 1816, 236764, 38730, 9226, 133378, 16329, 236764, 532, 32618, 506, 2203, 236858, 236751, 9578, 4403, 12016, 106, 107, 105, 4368, 107, 236777, 236858, 859, 2847, 45375, 532, 9226, 8687, 3426, 236761, 5612, 506, 22160, 7741, 9299, 1186, 4728, 5192, 28436, 568, 2217, 13959, 18544, 779, 564, 236858, 859, 18039, 580, 1041, 4122, 1262, 573, 45375, 1651, 226805, 3435, 133378, 10928, 236787, 108, 7243, 108, 10354, 5213, 200784, 833, 32462, 24118, 1018, 138, 107, 1018, 236770, 236761, 9115, 568, 34692, 236764, 2165, 893, 236772, 4070, 18833, 1018, 138, 107, 236772, 5213, 236792, 1762, 66515, 808, 236824, 624, 29340, 236970, 77520, 236829, 568, 23771, 236764, 951, 123577, 4342, 236768, 138, 107, 236772, 5213, 53619, 54936, 66515, 808, 53619, 54936, 236829, 568, 12293, 10670, 3017, 236764, 12865, 10951, 528, 1610, 44187, 236768, 138, 107, 236772, 5213, 133440, 4585, 66515, 808, 13790, 596, 14716, 501, 192010, 236829, 568, 85590, 1941, 236793, 7363, 11421, 3187, 1161, 623, 894, 143139, 236775, 77885, 2524, 236768, 138, 107, 236772, 5213, 141678, 21104, 66515, 808, 126311, 2122, 49580, 236829, 568, 82951, 13959, 236793, 623, 236824, 624, 21106, 793, 236775, 2473, 5057, 38875, 236768, 138, 107, 236772, 5213, 40703, 40383, 66515, 808, 62101, 16207, 49699, 236829, 568, 85590, 236793, 623, 72202, 9561, 38985, 236775, 568, 2153, 1610, 236768, 2473, 2597, 919, 3756, 236768, 138, 108, 1018, 236778, 236761, 41082, 568, 71494, 236764, 2165, 693, 236772, 12357, 18833, 1018, 138, 107, 236772, 5213, 236792, 1762, 66515, 808, 236792, 1762, 236829, 568, 31159, 1941, 236764, 12865, 1456, 236768, 138, 107, 236772, 5213, 53619, 54936, 66515, 808, 140767, 785, 236829, 568, 90412, 1024, 623, 22045, 54936, 1721, 623, 236758, 734, 6447, 236775, 17230, 531, 83431, 532, 23076, 5676, 210350, 236768, 138, 107, 236772, 5213, 133440, 4585, 66515, 808, 158967, 631, 1009, 3109, 110289, 236829, 568, 12293, 13959, 236793, 14003, 13674, 236768, 138, 107, 236772, 5213, 141678, 21104, 66515, 808, 1980, 13487, 631, 2793, 30307, 236829, 568, 82951, 236764, 840, 623, 14307, 1225, 908, 1438, 236775, 653, 623, 90548, 21104, 236775, 4850, 563, 3187, 1456, 2225, 25311, 36529, 236768, 138, 107, 236772, 5213, 40703, 40383, 66515, 808, 5797, 3814, 2758, 117439, 236829, 568, 90412, 1024, 1982, 13959, 236793, 623, 17816, 117439, 236775, 563, 25898, 236768, 138, 108, 1018, 236800, 236761, 5422, 568, 55579, 236764, 2165, 501, 236772, 22258, 18833, 1018, 138, 107, 236772, 5213, 236792, 1762, 66515, 808, 236792, 1762, 236829, 568, 31159, 1941, 236768, 138, 107, 236772, 5213, 53619, 54936, 66515, 808, 53619, 54936, 236829, 568, 31159, 1941, 236793, 623, 22045, 736, 236775, 563, 123577, 840, 12643, 528, 1610, 44187, 236768, 138, 107, 236772, 5213, 133440, 4585, 66515, 808, 133440, 1610, 236829, 568, 31159, 1941, 236793, 12865, 13674, 236768, 138, 107, 236772, 5213, 141678, 21104, 66515, 808, 141678, 21104, 236829, 568, 31159, 1941, 236793, 623, 21104, 236772, 1048, 236775, 563, 992, 1456, 16445, 236768, 138, 107, 236772, 5213, 40703, 40383, 66515, 808, 40703, 11764, 236829, 568, 31159, 1941, 236793, 623, 2153, 1610, 236775, 2473, 114542, 919, 92098, 236768, 138, 108, 7243, 108, 10354, 5213, 3503, 18446, 831, 97669, 1018, 138, 107, 236772, 5213, 204979, 41082, 66515, 39874, 623, 236758, 734, 6447, 236775, 573, 623, 22045, 54936, 236775, 8423, 26242, 531, 18454, 83431, 236793, 623, 119584, 785, 236775, 563, 34303, 573, 25075, 44187, 236761, 138, 107, 236772, 5213, 78490, 5422, 66515, 623, 141678, 21104, 236775, 563, 13674, 840, 2344, 3364, 236793, 623, 21104, 236772, 1048, 236775, 563, 919, 112886, 236761, 138, 107, 236772, 5213, 51423, 66515, 623, 13790, 596, 14716, 501, 192010, 236775, 563, 10781, 236793, 11421, 2473, 5278, 1699, 623, 894, 143139, 236775, 528, 15189, 10808, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 1027, 3755, 3342, 653, 3213, 580, 3530, 37485, 573, 822, 4187, 236881, 106, 107, 105, 2364, 107, 48727, 625, 236888, 3792, 236858, 236751, 59638, 1239, 3755, 1699, 506, 112886, 19205, 532, 1138, 496, 2321, 4481, 2263, 37485, 531, 96596, 506, 4187, 236858, 236751, 58542, 236761, 5715, 236858, 236751, 506, 10448, 1694, 607, 3756, 24277, 85859, 528, 506, 8687, 236787, 9190, 36675, 5213, 7166, 1718, 200339, 833, 12263, 179162, 1018, 5213, 236770, 236761, 9115, 568, 34692, 236764, 2165, 893, 236772, 4070, 18833, 1018, 753, 5213, 236792, 1762, 66515, 808, 236824, 624, 29340, 236970, 77520, 236829, 568, 85590, 236768, 653, 808, 236792, 17613, 24390, 236829, 568, 82951, 623, 14193, 6083, 2098, 1456, 77885, 2524, 528, 15687, 7363, 1610, 21189, 236768, 753, 5213, 53619, 54936, 66515, 808, 53619, 54936, 236829, 568, 45258, 236768, 653, 808, 29403, 236829, 568, 584, 26242, 10916, 531, 86256, 42455, 236768, 753, 5213, 133440, 4585, 66515, 808, 894, 143139, 236829, 568, 90412, 684, 11421, 236768, 653, 808, 13790, 596, 14716, 501, 192010, 236829, 568, 85590, 236768, 753, 5213, 141678, 21104, 66515, 808, 126311, 2122, 49580, 236829, 568, 82951, 236768, 653, 808, 81407, 236772, 4674, 236829, 568, 12293, 10670, 3017, 236764, 12865, 1456, 236768, 753, 5213, 40703, 40383, 66515, 808, 238255, 736, 178007, 38985, 236829, 568, 55182, 236764, 623, 2153, 1610, 1373, 653, 808, 62101, 16207, 49699, 236829, 568, 85590, 236768, 753, 5213, 61192, 20412, 66515, 808, 66057, 4585, 24487, 1633, 236829, 568, 6061, 573, 623, 30419, 1610, 8317, 236775, 528, 15687, 236768, 5213, 236778, 236761, 41082, 568, 71494, 236764, 2165, 693, 236772, 12357, 18833, 1018, 753, 5213, 236792, 1762, 66515, 808, 236792, 1762, 236829, 568, 23771, 236768, 653, 808, 236791, 720, 2710, 30918, 236829, 568, 103617, 236764, 69281, 19381, 607, 623, 236757, 1762, 569, 1647, 236775, 568, 25491, 3549, 1223, 753, 5213, 53619, 54936, 66515, 808, 140767, 785, 236829, 568, 661, 3316, 236768, 653, 808, 2709, 601, 236829, 568, 133633, 623, 2025, 870, 1340, 1610, 84123, 1456, 684, 30342, 29150, 232564, 531, 64460, 71972, 236768, 753, 5213, 133440, 4585, 66515, 808, 158967, 631, 1009, 3109, 110289, 236829, 568, 12293, 236768, 653, 808, 11281, 3109, 110289, 236829, 568, 15721, 4027, 1941, 236764, 3364, 528, 28023, 236768, 753, 5213, 141678, 21104, 66515, 808, 141678, 21104, 236829, 568, 3597, 6628, 236764, 3187, 1456, 2225, 25311, 36529, 236768, 653, 808, 19560, 1225, 908, 1438, 236829, 568, 82951, 623, 236758, 21068, 9827, 1373, 753, 5213, 40703, 40383, 66515, 808, 158967, 117439, 236829, 568, 9372, 1877, 1941, 236768, 653, 808, 3845, 1504, 2758, 117439, 236829, 568, 22468, 497, 193353, 529, 623, 8819, 21144, 1373, 753, 5213, 61192, 20412, 66515, 808, 236794, 3271, 3105, 8348, 9695, 236829, 6791, 30419, 618, 496, 15707, 2098, 496, 30342, 29150, 8325, 77452, 236768, 5213, 236800, 236761, 5422, 568, 55579, 236764, 2165, 501, 236772, 22258, 18833, 1018, 753, 5213, 236792, 1762, 66515, 808, 236792, 1762, 236829, 568, 3597, 6628, 236768, 653, 808, 29557, 1610, 236829, 568, 5576, 15189, 236768, 753, 5213, 53619, 54936, 66515, 808, 53619, 54936, 236829, 568, 23771, 236768, 653, 808, 54032, 497, 236829, 568, 2942, 698, 573, 496, 2455, 236764, 3996, 6347, 236793, 5571, 573, 10781, 44187, 236768, 753, 5213, 133440, 4585, 66515, 808, 133440, 1610, 236829, 568, 3597, 6628, 236768, 653, 808, 894, 923, 7509, 236829, 568, 93855, 49248, 13041, 236768, 753, 5213, 141678, 21104, 66515, 808, 81407, 236772, 1048, 236829, 568, 90412, 236768, 653, 808, 141678, 21104, 236829, 568, 79205, 1941, 236768, 753, 5213, 40703, 40383, 66515, 808, 40703, 1610, 11764, 236829, 568, 5576, 3530, 236768, 653, 808, 19118, 1610, 236829, 568, 55182, 236768, 753, 5213, 61192, 20412, 66515, 808, 67289, 3549, 236829, 568, 169148, 1941, 573, 10833, 7363, 1610, 9952, 236768, 9190, 36675, 5213, 9272, 50228, 1018, 21284, 611, 1133, 786, 531, 236787, 236743, 236770, 236761, 36353, 1239, 1131, 496, 45412, 573, 822, 21931, 4187, 236858, 236751, 44975, 236881, 236743, 236778, 236761, 59336, 1217, 531, 9176, 10969, 24812, 568, 236744, 236761, 236759, 1126, 623, 140767, 785, 568, 12357, 16291, 7728, 236761, 623, 53619, 54936, 568, 22258, 38186, 236881, 236743, 236800, 236761, 4140, 123577, 653, 3755, 699, 1032, 7363, 1610, 73696, 568, 236744, 236761, 236759, 1126, 21038, 236858, 236751, 808, 236762, 132582, 6983, 863, 1071, 236829, 573, 623, 8819, 1610, 1373, 236881, 3792, 786, 1281, 1217, 611, 236858, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 4368, 107, 11069, 33093, 3755, 1385, 14853, 236888, 2282, 62991, 822, 4187, 12434, 236764, 564, 236858, 859, 6518, 506, 1262, 1131, 496, 31044, 45412, 607, 88082, 8698, 236761, 5715, 236858, 236751, 496, 18201, 529, 506, 3904, 236787, 108, 7243, 108, 10354, 5213, 53445, 23718, 14691, 1018, 138, 107, 2717, 8018, 107, 10960, 236764, 28040, 236764, 32279, 236779, 4809, 236764, 126651, 236779, 67830, 236764, 1980, 844, 576, 706, 236779, 93993, 236764, 61192, 236779, 85087, 236764, 111534, 236779, 10282, 107, 236792, 1762, 236764, 51423, 236764, 893, 236772, 4070, 236764, 236824, 624, 29340, 236970, 77520, 236764, 236792, 17613, 24390, 2098, 66057, 4585, 24487, 1633, 827, 236792, 17613, 24390, 563, 112886, 528, 15687, 107, 53619, 54936, 236764, 51423, 236764, 893, 236772, 4070, 236764, 53619, 54936, 236764, 29403, 17930, 77499, 623, 29403, 236775, 573, 3996, 4146, 107, 133440, 4585, 236764, 51423, 236764, 893, 236772, 4070, 236764, 13790, 596, 14716, 501, 192010, 236764, 894, 143139, 17930, 107, 141678, 21104, 236764, 51423, 236764, 893, 236772, 4070, 236764, 126311, 2122, 49580, 236764, 81407, 236772, 4674, 17930, 107, 40703, 40383, 236764, 51423, 236764, 893, 236772, 4070, 236764, 62101, 16207, 49699, 236764, 238255, 736, 178007, 38985, 17930, 107, 236792, 1762, 236764, 227601, 236764, 693, 236772, 12357, 236764, 236792, 1762, 236764, 236791, 720, 2710, 30918, 2098, 236794, 3271, 3105, 8348, 9695, 827, 77499, 623, 236757, 1762, 569, 1647, 236775, 19381, 107, 53619, 54936, 236764, 227601, 236764, 693, 236772, 12357, 236764, 140767, 785, 236764, 2709, 601, 17930, 10896, 623, 2709, 601, 236775, 531, 37837, 71972, 107, 133440, 4585, 236764, 227601, 236764, 693, 236772, 12357, 236764, 158967, 631, 1009, 3109, 110289, 236764, 11281, 3109, 110289, 17930, 107, 141678, 21104, 236764, 227601, 236764, 693, 236772, 12357, 236764, 141678, 21104, 236764, 19560, 1225, 908, 1438, 17930, 107, 40703, 40383, 236764, 227601, 236764, 693, 236772, 12357, 236764, 3845, 1504, 2758, 117439, 236764, 158967, 117439, 17930, 107, 236792, 1762, 236764, 27832, 236764, 501, 236772, 22258, 236764, 236792, 1762, 236764, 29557, 1610, 2098, 67289, 3549, 827, 169148, 236772, 15396, 20412, 107, 53619, 54936, 236764, 27832, 236764, 501, 236772, 22258, 236764, 53619, 54936, 236764, 54032, 497, 17930, 10896, 623, 54032, 497, 236775, 1186, 573, 2455, 9097, 107, 133440, 4585, 236764, 27832, 236764, 501, 236772, 22258, 236764, 133440, 1610, 236764, 894, 923, 7509, 17930, 107, 141678, 21104, 236764, 27832, 236764, 501, 236772, 22258, 236764, 141678, 21104, 236764, 81407, 236772, 1048, 17930, 107, 40703, 40383, 236764, 27832, 236764, 501, 236772, 22258, 236764, 40703, 11764, 236764, 19118, 1610, 17930, 107, 2717, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236770, 236761, 5213, 53445, 7992, 66515, 18975, 564, 96820, 532, 11264, 506, 2587, 45412, 607, 784, 3755, 532, 8687, 573, 822, 4187, 236858, 236751, 44975, 236881, 138, 107, 236778, 236761, 5213, 69113, 84637, 66515, 21284, 611, 1133, 496, 7732, 2307, 26804, 1217, 531, 6518, 10969, 1227, 35354, 568, 236744, 236761, 236759, 1126, 2165, 140767, 785, 568, 693, 236772, 12357, 54557, 7728, 236761, 2165, 53619, 54936, 568, 501, 236772, 22258, 236768, 18833, 573, 5904, 63875, 653, 12972, 236881, 138, 107, 236800, 236761, 5213, 94724, 66515, 1637, 611, 236858, 236753, 1133, 531, 1138, 21038, 236858, 236751, 808, 236762, 132582, 6983, 863, 1071, 236829, 653, 13251, 4085, 236858, 236751, 808, 236757, 1762, 9843, 105240, 30237, 564, 740, 25139, 1724, 2148, 236761, 138, 108, 6481, 786, 1281, 1217, 611, 236858, 236753, 1133, 531, 7162, 237028, 236777, 236858, 859, 7535, 531, 822, 28079, 236888, 236743, 245838, 244906, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21155, 236787, 564, 236789, 236757, 2844, 580, 496, 1262, 44751, 2203, 1003, 4185, 7363, 1610, 18560, 532, 1202, 531, 17866, 1070, 2307, 3755, 1131, 10969, 15579, 573, 614, 21931, 4187, 236761, 28344, 611, 1171, 1601, 786, 8701, 837, 15579, 528, 506, 22160, 7741, 9299, 735, 10969, 24812, 14003, 5143, 607, 9979, 3224, 573, 28239, 7363, 1610, 18583, 237028, 5282, 15687, 236764, 30342, 29150, 236764, 532, 26510, 236881, 564, 236789, 859, 1202, 910, 22977, 17253, 531, 6518, 506, 45375, 9668, 3209, 236761, 46260, 2094, 2864, 48110, 1938, 236779, 158944, 684, 20226, 5192, 1262, 24271, 684, 42442, 236786, 50771, 4403, 236764, 532, 7093, 872, 3402, 2430, 236779, 39459, 236779, 26661, 684, 23364, 506, 25075, 13959, 1161, 1624, 12016, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 70496, 1083, 78493, 1201, 1083, 623, 51423, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236770, 1083, 623, 893, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236800, 1083, 623, 893, 236756, 827, 623, 105621, 1083, 78493, 1201, 1083, 623, 34692, 827, 623, 11208, 236779, 3970, 1083, 623, 893, 236772, 4070, 827, 623, 13647, 1083, 623, 34692, 23179, 3714, 1201, 1083, 623, 93859, 827, 623, 11208, 236779, 3970, 1083, 623, 893, 236772, 2293, 827, 623, 13647, 1083, 623, 93859, 236775, 200808, 3714, 1201, 1083, 623, 227601, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236770, 1083, 623, 693, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236800, 1083, 623, 2152, 827, 623, 105621, 1083, 78493, 1201, 1083, 623, 71494, 827, 623, 11208, 236779, 3970, 1083, 623, 693, 236772, 12357, 827, 623, 13647, 1083, 623, 71494, 23179, 3714, 1201, 1083, 623, 128964, 827, 623, 11208, 236779, 3970, 1083, 623, 693, 236772, 7847, 827, 623, 13647, 1083, 623, 128964, 236775, 200808, 3714, 1201, 1083, 623, 27832, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236770, 1083, 623, 501, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236800, 1083, 623, 1094, 827, 623, 105621, 1083, 78493, 1201, 1083, 623, 55579, 827, 623, 11208, 236779, 3970, 1083, 623, 501, 236772, 22258, 827, 623, 13647, 1083, 623, 55579, 23179, 3714, 1201, 1083, 623, 27211, 15305, 827, 623, 11208, 236779, 3970, 1083, 623, 501, 236772, 8242, 827, 623, 13647, 1083, 623, 27211, 15305, 236775, 200808, 3714, 1201, 1083, 623, 80353, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236770, 1083, 623, 507, 827, 623, 11208, 236779, 3970, 236779, 236825, 236800, 236819, 236779, 236800, 1083, 623, 127676, 827, 623, 105621, 1083, 78493, 1201, 1083, 623, 109324, 827, 623, 11208, 236779, 3970, 1083, 623, 507, 236772, 1425, 827, 623, 13647, 1083, 623, 109324, 23179, 3714, 1201, 1083, 623, 85226, 827, 623, 11208, 236779, 3970, 1083, 623, 507, 236772, 20074, 827, 623, 13647, 1083, 623, 85226, 236775, 15947, 165075, 106, 107, 105, 4368, 107, 22515, 580, 506, 22160, 7741, 9299, 1262, 532, 822, 3213, 580, 7363, 1610, 73696, 236764, 1590, 659, 506, 7798, 15579, 607, 10969, 24812, 19240, 531, 1724, 9979, 236787, 108, 236770, 236761, 5213, 89946, 236764, 9405, 1018, 138, 107, 139, 236772, 5213, 51423, 568, 34692, 18572, 62902, 138, 107, 141, 32279, 236743, 236825, 236800, 236819, 236772, 236770, 236787, 2165, 893, 236929, 1109, 22977, 236743, 236825, 236800, 236819, 236772, 236800, 236787, 2165, 893, 236756, 236929, 1109, 19987, 3393, 236787, 2165, 893, 236772, 4070, 236929, 108, 236778, 236761, 5213, 121175, 29150, 236764, 14600, 1018, 138, 107, 139, 236772, 5213, 227601, 568, 71494, 18572, 62902, 138, 107, 141, 32279, 236743, 236825, 236800, 236819, 236772, 236770, 236787, 2165, 693, 236929, 1109, 22977, 236743, 236825, 236800, 236819, 236772, 236800, 236787, 2165, 2152, 236929, 1109, 19987, 3393, 236787, 2165, 693, 236772, 12357, 236929, 108, 236800, 236761, 5213, 169148, 236764, 8187, 1018, 138, 107, 139, 236772, 5213, 27832, 568, 55579, 18572, 62902, 138, 107, 141, 32279, 236743, 236825, 236800, 236819, 236772, 236770, 236787, 2165, 501, 236929, 1109, 22977, 236743, 236825, 236800, 236819, 236772, 236800, 236787, 2165, 1094, 236929, 1109, 19987, 3393, 236787, 2165, 501, 236772, 22258, 236929, 108, 818, 9299, 992, 5132, 14361, 24812, 568, 236744, 236761, 236759, 1126, 2165, 507, 236772, 1425, 236929, 573, 24423, 236764, 2165, 507, 236772, 20074, 236929, 573, 13251, 779, 837, 1451, 577, 7798, 768, 611, 6778, 531, 9979, 1133, 44135, 48111, 653, 13251, 4085, 236761, 21284, 611, 1133, 45375, 573, 3530, 3755, 528, 1239, 15579, 2148, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 2765, 45375, 573, 506, 7157, 3755, 2148, 236888, 28344, 611, 17866, 1239, 7363, 1610, 236772, 10619, 4171, 1131, 506, 1806, 10969, 24812, 692, 8385, 236787, 753, 5213, 236775, 236757, 1762, 236775, 1018, 753, 5213, 236775, 22045, 54936, 236775, 1018, 753, 5213, 236775, 212937, 1610, 236775, 1018, 753, 5213, 236775, 90548, 21104, 236775, 1018, 753, 5213, 236775, 30419, 11764, 236775, 1018, 6890, 506, 10969, 17253, 2165, 893, 236772, 4070, 8347, 2165, 693, 236772, 12357, 8347, 532, 2165, 501, 236772, 22258, 21233, 6542, 236764, 1651, 692, 236858, 500, 10317, 580, 13959, 236764, 1451, 611, 8134, 768, 1027, 529, 1239, 3755, 2473, 6081, 112922, 210350, 528, 2263, 123577, 568, 236744, 236761, 236759, 1126, 496, 3658, 573, 623, 22045, 54936, 236775, 600, 12054, 38875, 528, 26510, 7728, 236761, 5860, 20625, 46260, 2094, 28402, 580, 506, 6517, 5192, 1694, 684, 14253, 625, 531, 12625, 1816, 236764, 38730, 9226, 133378, 16329, 236764, 532, 32618, 506, 2203, 236858, 236751, 9578, 4403, 12016, 106, 107, 105, 4368, 107, 236777, 236858, 859, 2847, 45375, 532, 9226, 8687, 3426, 236761, 5612, 506, 22160, 7741, 9299, 1186, 4728, 5192, 28436, 568, 2217, 13959, 18544, 779, 564, 236858, 859, 18039, 580, 1041, 4122, 1262, 573, 45375, 1651, 226805, 3435, 133378, 10928, 236787, 108, 7243, 108, 10354, 5213, 200784, 833, 32462, 24118, 1018, 138, 107, 1018, 236770, 236761, 9115, 568, 34692, 236764, 2165, 893, 236772, 4070, 18833, 1018, 138, 107, 236772, 5213, 236792, 1762, 66515, 808, 236824, 624, 29340, 236970, 77520, 236829, 568, 23771, 236764, 951, 123577, 4342, 236768, 138, 107, 236772, 5213, 53619, 54936, 66515, 808, 53619, 54936, 236829, 568, 12293, 10670, 3017, 236764, 12865, 10951, 528, 1610, 44187, 236768, 138, 107, 236772, 5213, 133440, 4585, 66515, 808, 13790, 596, 14716, 501, 192010, 236829, 568, 85590, 1941, 236793, 7363, 11421, 3187, 1161, 623, 894, 143139, 236775, 77885, 2524, 236768, 138, 107, 236772, 5213, 141678, 21104, 66515, 808, 126311, 2122, 49580, 236829, 568, 82951, 13959, 236793, 623, 236824, 624, 21106, 793, 236775, 2473, 5057, 38875, 236768, 138, 107, 236772, 5213, 40703, 40383, 66515, 808, 62101, 16207, 49699, 236829, 568, 85590, 236793, 623, 72202, 9561, 38985, 236775, 568, 2153, 1610, 236768, 2473, 2597, 919, 3756, 236768, 138, 108, 1018, 236778, 236761, 41082, 568, 71494, 236764, 2165, 693, 236772, 12357, 18833, 1018, 138, 107, 236772, 5213, 236792, 1762, 66515, 808, 236792, 1762, 236829, 568, 31159, 1941, 236764, 12865, 1456, 236768, 138, 107, 236772, 5213, 53619, 54936, 66515, 808, 140767, 785, 236829, 568, 90412, 1024, 623, 22045, 54936, 1721, 623, 236758, 734, 6447, 236775, 17230, 531, 83431, 532, 23076, 5676, 210350, 236768, 138, 107, 236772, 5213, 133440, 4585, 66515, 808, 158967, 631, 1009, 3109, 110289, 236829, 568, 12293, 13959, 236793, 14003, 13674, 236768, 138, 107, 236772, 5213, 141678, 21104, 66515, 808, 1980, 13487, 631, 2793, 30307, 236829, 568, 82951, 236764, 840, 623, 14307, 1225, 908, 1438, 236775, 653, 623, 90548, 21104, 236775, 4850, 563, 3187, 1456, 2225, 25311, 36529, 236768, 138, 107, 236772, 5213, 40703, 40383, 66515, 808, 5797, 3814, 2758, 117439, 236829, 568, 90412, 1024, 1982, 13959, 236793, 623, 17816, 117439, 236775, 563, 25898, 236768, 138, 108, 1018, 236800, 236761, 5422, 568, 55579, 236764, 2165, 501, 236772, 22258, 18833, 1018, 138, 107, 236772, 5213, 236792, 1762, 66515, 808, 236792, 1762, 236829, 568, 31159, 1941, 236768, 138, 107, 236772, 5213, 53619, 54936, 66515, 808, 53619, 54936, 236829, 568, 31159, 1941, 236793, 623, 22045, 736, 236775, 563, 123577, 840, 12643, 528, 1610, 44187, 236768, 138, 107, 236772, 5213, 133440, 4585, 66515, 808, 133440, 1610, 236829, 568, 31159, 1941, 236793, 12865, 13674, 236768, 138, 107, 236772, 5213, 141678, 21104, 66515, 808, 141678, 21104, 236829, 568, 31159, 1941, 236793, 623, 21104, 236772, 1048, 236775, 563, 992, 1456, 16445, 236768, 138, 107, 236772, 5213, 40703, 40383, 66515, 808, 40703, 11764, 236829, 568, 31159, 1941, 236793, 623, 2153, 1610, 236775, 2473, 114542, 919, 92098, 236768, 138, 108, 7243, 108, 10354, 5213, 3503, 18446, 831, 97669, 1018, 138, 107, 236772, 5213, 204979, 41082, 66515, 39874, 623, 236758, 734, 6447, 236775, 573, 623, 22045, 54936, 236775, 8423, 26242, 531, 18454, 83431, 236793, 623, 119584, 785, 236775, 563, 34303, 573, 25075, 44187, 236761, 138, 107, 236772, 5213, 78490, 5422, 66515, 623, 141678, 21104, 236775, 563, 13674, 840, 2344, 3364, 236793, 623, 21104, 236772, 1048, 236775, 563, 919, 112886, 236761, 138, 107, 236772, 5213, 51423, 66515, 623, 13790, 596, 14716, 501, 192010, 236775, 563, 10781, 236793, 11421, 2473, 5278, 1699, 623, 894, 143139, 236775, 528, 15189, 10808, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 1027, 3755, 3342, 653, 3213, 580, 3530, 37485, 573, 822, 4187, 236881, 106, 107, 105, 2364, 107, 48727, 625, 236888, 3792, 236858, 236751, 59638, 1239, 3755, 1699, 506, 112886, 19205, 532, 1138, 496, 2321, 4481, 2263, 37485, 531, 96596, 506, 4187, 236858, 236751, 58542, 236761, 5715, 236858, 236751, 506, 10448, 1694, 607, 3756, 24277, 85859, 528, 506, 8687, 236787, 9190, 36675, 5213, 7166, 1718, 200339, 833, 12263, 179162, 1018, 5213, 236770, 236761, 9115, 568, 34692, 236764, 2165, 893, 236772, 4070, 18833, 1018, 753, 5213, 236792, 1762, 66515, 808, 236824, 624, 29340, 236970, 77520, 236829, 568, 85590, 236768, 653, 808, 236792, 17613, 24390, 236829, 568, 82951, 623, 14193, 6083, 2098, 1456, 77885, 2524, 528, 15687, 7363, 1610, 21189, 236768, 753, 5213, 53619, 54936, 66515, 808, 53619, 54936, 236829, 568, 45258, 236768, 653, 808, 29403, 236829, 568, 584, 26242, 10916, 531, 86256, 42455, 236768, 753, 5213, 133440, 4585, 66515, 808, 894, 143139, 236829, 568, 90412, 684, 11421, 236768, 653, 808, 13790, 596, 14716, 501, 192010, 236829, 568, 85590, 236768, 753, 5213, 141678, 21104, 66515, 808, 126311, 2122, 49580, 236829, 568, 82951, 236768, 653, 808, 81407, 236772, 4674, 236829, 568, 12293, 10670, 3017, 236764, 12865, 1456, 236768, 753, 5213, 40703, 40383, 66515, 808, 238255, 736, 178007, 38985, 236829, 568, 55182, 236764, 623, 2153, 1610, 1373, 653, 808, 62101, 16207, 49699, 236829, 568, 85590, 236768, 753, 5213, 61192, 20412, 66515, 808, 66057, 4585, 24487, 1633, 236829, 568, 6061, 573, 623, 30419, 1610, 8317, 236775, 528, 15687, 236768, 5213, 236778, 236761, 41082, 568, 71494, 236764, 2165, 693, 236772, 12357, 18833, 1018, 753, 5213, 236792, 1762, 66515, 808, 236792, 1762, 236829, 568, 23771, 236768, 653, 808, 236791, 720, 2710, 30918, 236829, 568, 103617, 236764, 69281, 19381, 607, 623, 236757, 1762, 569, 1647, 236775, 568, 25491, 3549, 1223, 753, 5213, 53619, 54936, 66515, 808, 140767, 785, 236829, 568, 661, 3316, 236768, 653, 808, 2709, 601, 236829, 568, 133633, 623, 2025, 870, 1340, 1610, 84123, 1456, 684, 30342, 29150, 232564, 531, 64460, 71972, 236768, 753, 5213, 133440, 4585, 66515, 808, 158967, 631, 1009, 3109, 110289, 236829, 568, 12293, 236768, 653, 808, 11281, 3109, 110289, 236829, 568, 15721, 4027, 1941, 236764, 3364, 528, 28023, 236768, 753, 5213, 141678, 21104, 66515, 808, 141678, 21104, 236829, 568, 3597, 6628, 236764, 3187, 1456, 2225, 25311, 36529, 236768, 653, 808, 19560, 1225, 908, 1438, 236829, 568, 82951, 623, 236758, 21068, 9827, 1373, 753, 5213, 40703, 40383, 66515, 808, 158967, 117439, 236829, 568, 9372, 1877, 1941, 236768, 653, 808, 3845, 1504, 2758, 117439, 236829, 568, 22468, 497, 193353, 529, 623, 8819, 21144, 1373, 753, 5213, 61192, 20412, 66515, 808, 236794, 3271, 3105, 8348, 9695, 236829, 6791, 30419, 618, 496, 15707, 2098, 496, 30342, 29150, 8325, 77452, 236768, 5213, 236800, 236761, 5422, 568, 55579, 236764, 2165, 501, 236772, 22258, 18833, 1018, 753, 5213, 236792, 1762, 66515, 808, 236792, 1762, 236829, 568, 3597, 6628, 236768, 653, 808, 29557, 1610, 236829, 568, 5576, 15189, 236768, 753, 5213, 53619, 54936, 66515, 808, 53619, 54936, 236829, 568, 23771, 236768, 653, 808, 54032, 497, 236829, 568, 2942, 698, 573, 496, 2455, 236764, 3996, 6347, 236793, 5571, 573, 10781, 44187, 236768, 753, 5213, 133440, 4585, 66515, 808, 133440, 1610, 236829, 568, 3597, 6628, 236768, 653, 808, 894, 923, 7509, 236829, 568, 93855, 49248, 13041, 236768, 753, 5213, 141678, 21104, 66515, 808, 81407, 236772, 1048, 236829, 568, 90412, 236768, 653, 808, 141678, 21104, 236829, 568, 79205, 1941, 236768, 753, 5213, 40703, 40383, 66515, 808, 40703, 1610, 11764, 236829, 568, 5576, 3530, 236768, 653, 808, 19118, 1610, 236829, 568, 55182, 236768, 753, 5213, 61192, 20412, 66515, 808, 67289, 3549, 236829, 568, 169148, 1941, 573, 10833, 7363, 1610, 9952, 236768, 9190, 36675, 5213, 9272, 50228, 1018, 21284, 611, 1133, 786, 531, 236787, 236743, 236770, 236761, 36353, 1239, 1131, 496, 45412, 573, 822, 21931, 4187, 236858, 236751, 44975, 236881, 236743, 236778, 236761, 59336, 1217, 531, 9176, 10969, 24812, 568, 236744, 236761, 236759, 1126, 623, 140767, 785, 568, 12357, 16291, 7728, 236761, 623, 53619, 54936, 568, 22258, 38186, 236881, 236743, 236800, 236761, 4140, 123577, 653, 3755, 699, 1032, 7363, 1610, 73696, 568, 236744, 236761, 236759, 1126, 21038, 236858, 236751, 808, 236762, 132582, 6983, 863, 1071, 236829, 573, 623, 8819, 1610, 1373, 236881, 3792, 786, 1281, 1217, 611, 236858, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 4368, 107, 11069, 33093, 3755, 1385, 14853, 236888, 2282, 62991, 822, 4187, 12434, 236764, 564, 236858, 859, 6518, 506, 1262, 1131, 496, 31044, 45412, 607, 88082, 8698, 236761, 5715, 236858, 236751, 496, 18201, 529, 506, 3904, 236787, 108, 7243, 108, 10354, 5213, 53445, 23718, 14691, 1018, 138, 107, 2717, 8018, 107, 10960, 236764, 28040, 236764, 32279, 236779, 4809, 236764, 126651, 236779, 67830, 236764, 1980, 844, 576, 706, 236779, 93993, 236764, 61192, 236779, 85087, 236764, 111534, 236779, 10282, 107, 236792, 1762, 236764, 51423, 236764, 893, 236772, 4070, 236764, 236824, 624, 29340, 236970, 77520, 236764, 236792, 17613, 24390, 2098, 66057, 4585, 24487, 1633, 827, 236792, 17613, 24390, 563, 112886, 528, 15687, 107, 53619, 54936, 236764, 51423, 236764, 893, 236772, 4070, 236764, 53619, 54936, 236764, 29403, 17930, 77499, 623, 29403, 236775, 573, 3996, 4146, 107, 133440, 4585, 236764, 51423, 236764, 893, 236772, 4070, 236764, 13790, 596, 14716, 501, 192010, 236764, 894, 143139, 17930, 107, 141678, 21104, 236764, 51423, 236764, 893, 236772, 4070, 236764, 126311, 2122, 49580, 236764, 81407, 236772, 4674, 17930, 107, 40703, 40383, 236764, 51423, 236764, 893, 236772, 4070, 236764, 62101, 16207, 49699, 236764, 238255, 736, 178007, 38985, 17930, 107, 236792, 1762, 236764, 227601, 236764, 693, 236772, 12357, 236764, 236792, 1762, 236764, 236791, 720, 2710, 30918, 2098, 236794, 3271, 3105, 8348, 9695, 827, 77499, 623, 236757, 1762, 569, 1647, 236775, 19381, 107, 53619, 54936, 236764, 227601, 236764, 693, 236772, 12357, 236764, 140767, 785, 236764, 2709, 601, 17930, 10896, 623, 2709, 601, 236775, 531, 37837, 71972, 107, 133440, 4585, 236764, 227601, 236764, 693, 236772, 12357, 236764, 158967, 631, 1009, 3109, 110289, 236764, 11281, 3109, 110289, 17930, 107, 141678, 21104, 236764, 227601, 236764, 693, 236772, 12357, 236764, 141678, 21104, 236764, 19560, 1225, 908, 1438, 17930, 107, 40703, 40383, 236764, 227601, 236764, 693, 236772, 12357, 236764, 3845, 1504, 2758, 117439, 236764, 158967, 117439, 17930, 107, 236792, 1762, 236764, 27832, 236764, 501, 236772, 22258, 236764, 236792, 1762, 236764, 29557, 1610, 2098, 67289, 3549, 827, 169148, 236772, 15396, 20412, 107, 53619, 54936, 236764, 27832, 236764, 501, 236772, 22258, 236764, 53619, 54936, 236764, 54032, 497, 17930, 10896, 623, 54032, 497, 236775, 1186, 573, 2455, 9097, 107, 133440, 4585, 236764, 27832, 236764, 501, 236772, 22258, 236764, 133440, 1610, 236764, 894, 923, 7509, 17930, 107, 141678, 21104, 236764, 27832, 236764, 501, 236772, 22258, 236764, 141678, 21104, 236764, 81407, 236772, 1048, 17930, 107, 40703, 40383, 236764, 27832, 236764, 501, 236772, 22258, 236764, 40703, 11764, 236764, 19118, 1610, 17930, 107, 2717, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236770, 236761, 5213, 53445, 7992, 66515, 18975, 564, 96820, 532, 11264, 506, 2587, 45412, 607, 784, 3755, 532, 8687, 573, 822, 4187, 236858, 236751, 44975, 236881, 138, 107, 236778, 236761, 5213, 69113, 84637, 66515, 21284, 611, 1133, 496, 7732, 2307, 26804, 1217, 531, 6518, 10969, 1227, 35354, 568, 236744, 236761, 236759, 1126, 2165, 140767, 785, 568, 693, 236772, 12357, 54557, 7728, 236761, 2165, 53619, 54936, 568, 501, 236772, 22258, 236768, 18833, 573, 5904, 63875, 653, 12972, 236881, 138, 107, 236800, 236761, 5213, 94724, 66515, 1637, 611, 236858, 236753, 1133, 531, 1138, 21038, 236858, 236751, 808, 236762, 132582, 6983, 863, 1071, 236829, 653, 13251, 4085, 236858, 236751, 808, 236757, 1762, 9843, 105240, 30237, 564, 740, 25139, 1724, 2148, 236761, 138, 108, 6481, 786, 1281, 1217, 611, 236858, 236753, 1133, 531, 7162, 237028, 236777, 236858, 859, 7535, 531, 822, 28079, 236888, 236743, 245838, 244906, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 236789, 560, 2506, 496, 861, 9470, 236764, 749, 236770, 236778, 236800, 236812, 236810, 236764, 1015, 1164, 10438, 236761, 564, 1202, 531, 9128, 910, 5154, 28250, 4981, 236761, 1637, 625, 236789, 236751, 27662, 236764, 2426, 910, 4744, 4981, 236761, 1637, 711, 236764, 1531, 786, 1281, 901, 1202, 531, 544, 236772, 41253, 236761, 7323, 6060, 672, 573, 786, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5294, 1083, 623, 236836, 236770, 236778, 236800, 236812, 236810, 827, 623, 5275, 236779, 87622, 1083, 1847, 236764, 623, 10212, 236779, 4818, 1083, 623, 5034, 827, 623, 1201, 1083, 623, 65897, 8943, 827, 623, 53568, 1083, 623, 80401, 25938, 106, 107, 105, 4368, 107, 818, 5154, 28250, 4981, 573, 9470, 749, 236770, 236778, 236800, 236812, 236810, 568, 65897, 8943, 236768, 563, 5213, 87622, 125546, 532, 910, 4744, 4981, 563, 5213, 5034, 84750, 2301, 3342, 2970, 563, 3149, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 236789, 560, 2506, 496, 861, 9470, 236764, 749, 236770, 236778, 236800, 236812, 236810, 236764, 1015, 1164, 10438, 236761, 564, 1202, 531, 9128, 910, 5154, 28250, 4981, 236761, 1637, 625, 236789, 236751, 27662, 236764, 2426, 910, 4744, 4981, 236761, 1637, 711, 236764, 1531, 786, 1281, 901, 1202, 531, 544, 236772, 41253, 236761, 7323, 6060, 672, 573, 786, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5294, 1083, 623, 236836, 236770, 236778, 236800, 236812, 236810, 827, 623, 5275, 236779, 87622, 1083, 1847, 236764, 623, 10212, 236779, 4818, 1083, 623, 5034, 827, 623, 1201, 1083, 623, 65897, 8943, 827, 623, 53568, 1083, 623, 80401, 25938, 106, 107, 105, 4368, 107, 818, 5154, 28250, 4981, 573, 9470, 749, 236770, 236778, 236800, 236812, 236810, 568, 65897, 8943, 236768, 563, 5213, 87622, 125546, 532, 910, 4744, 4981, 563, 5213, 5034, 84750, 2301, 3342, 2970, 563, 3149, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 61560, 236761, 564, 236789, 236757, 35447, 1023, 2260, 5975, 2197, 91624, 532, 1202, 531, 5039, 855, 32272, 24157, 236761, 564, 735, 496, 1694, 529, 4374, 24157, 600, 10050, 236789, 236745, 22541, 45047, 236787, 7756, 2906, 791, 10255, 236940, 8358, 236761, 854, 963, 756, 156294, 236761, 219090, 236940, 18112, 236761, 854, 963, 756, 156281, 236761, 37540, 236940, 187301, 236761, 854, 963, 756, 35304, 957, 236761, 208411, 236940, 57082, 236761, 854, 963, 756, 153384, 236761, 53998, 1588, 236940, 108877, 2618, 236761, 854, 15095, 5315, 236764, 54655, 1239, 24157, 1699, 506, 54655, 5904, 236761, 4298, 236764, 1769, 506, 30611, 1694, 532, 48699, 625, 607, 48699, 236779, 2234, 834, 564, 740, 5039, 82925, 528, 496, 4940, 1900, 531, 5571, 2462, 57416, 506, 1638, 1589, 1171, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 69040, 236779, 6774, 1083, 623, 2906, 791, 10255, 236940, 8358, 236761, 854, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 69040, 236779, 6774, 1083, 623, 156294, 236761, 219090, 236940, 18112, 236761, 854, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 69040, 236779, 6774, 1083, 623, 156281, 236761, 37540, 236940, 187301, 236761, 854, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 69040, 236779, 6774, 1083, 623, 35304, 957, 236761, 208411, 236940, 57082, 236761, 854, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 69040, 236779, 6774, 1083, 623, 153384, 236761, 53998, 1588, 236940, 108877, 2618, 236761, 854, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1179, 67069, 236779, 2234, 1083, 11058, 35304, 957, 236761, 208411, 236940, 57082, 236761, 854, 827, 623, 153384, 236761, 53998, 1588, 236940, 108877, 2618, 236761, 854, 827, 623, 156294, 236761, 219090, 236940, 18112, 236761, 854, 827, 623, 2906, 791, 10255, 236940, 8358, 236761, 854, 827, 623, 156281, 236761, 37540, 236940, 187301, 236761, 854, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 30611, 532, 104907, 1694, 529, 24157, 573, 822, 2260, 5975, 2197, 91624, 82925, 236787, 108, 1018, 133482, 210122, 568, 1904, 3731, 4354, 618, 901, 964, 3016, 15195, 45047, 1473, 1018, 138, 107, 236929, 1922, 2906, 791, 10255, 236940, 8358, 236761, 854, 963, 756, 156294, 236761, 219090, 236940, 18112, 236761, 854, 963, 756, 156281, 236761, 37540, 236940, 187301, 236761, 854, 963, 756, 35304, 957, 236761, 208411, 236940, 57082, 236761, 854, 963, 756, 153384, 236761, 53998, 1588, 236940, 108877, 2618, 236761, 854, 2000, 236929, 108, 1018, 3138, 67069, 204635, 12045, 568, 7513, 1662, 1473, 1018, 138, 107, 236929, 1922, 35304, 957, 236761, 208411, 236940, 57082, 236761, 854, 963, 756, 153384, 236761, 53998, 1588, 236940, 108877, 2618, 236761, 854, 963, 756, 156294, 236761, 219090, 236940, 18112, 236761, 854, 963, 756, 2906, 791, 10255, 236940, 8358, 236761, 854, 963, 756, 156281, 236761, 37540, 236940, 187301, 236761, 854, 2000, 236929, 108, 3048, 740, 1492, 5039, 82925, 528, 672, 59515, 7501, 531, 5330, 59542, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 61560, 236761, 564, 236789, 236757, 35447, 1023, 2260, 5975, 2197, 91624, 532, 1202, 531, 5039, 855, 32272, 24157, 236761, 564, 735, 496, 1694, 529, 4374, 24157, 600, 10050, 236789, 236745, 22541, 45047, 236787, 7756, 2906, 791, 10255, 236940, 8358, 236761, 854, 963, 756, 156294, 236761, 219090, 236940, 18112, 236761, 854, 963, 756, 156281, 236761, 37540, 236940, 187301, 236761, 854, 963, 756, 35304, 957, 236761, 208411, 236940, 57082, 236761, 854, 963, 756, 153384, 236761, 53998, 1588, 236940, 108877, 2618, 236761, 854, 15095, 5315, 236764, 54655, 1239, 24157, 1699, 506, 54655, 5904, 236761, 4298, 236764, 1769, 506, 30611, 1694, 532, 48699, 625, 607, 48699, 236779, 2234, 834, 564, 740, 5039, 82925, 528, 496, 4940, 1900, 531, 5571, 2462, 57416, 506, 1638, 1589, 1171, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 69040, 236779, 6774, 1083, 623, 2906, 791, 10255, 236940, 8358, 236761, 854, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 69040, 236779, 6774, 1083, 623, 156294, 236761, 219090, 236940, 18112, 236761, 854, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 69040, 236779, 6774, 1083, 623, 156281, 236761, 37540, 236940, 187301, 236761, 854, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 69040, 236779, 6774, 1083, 623, 35304, 957, 236761, 208411, 236940, 57082, 236761, 854, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 69040, 236779, 6774, 1083, 623, 153384, 236761, 53998, 1588, 236940, 108877, 2618, 236761, 854, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1179, 67069, 236779, 2234, 1083, 11058, 35304, 957, 236761, 208411, 236940, 57082, 236761, 854, 827, 623, 153384, 236761, 53998, 1588, 236940, 108877, 2618, 236761, 854, 827, 623, 156294, 236761, 219090, 236940, 18112, 236761, 854, 827, 623, 2906, 791, 10255, 236940, 8358, 236761, 854, 827, 623, 156281, 236761, 37540, 236940, 187301, 236761, 854, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 30611, 532, 104907, 1694, 529, 24157, 573, 822, 2260, 5975, 2197, 91624, 82925, 236787, 108, 1018, 133482, 210122, 568, 1904, 3731, 4354, 618, 901, 964, 3016, 15195, 45047, 1473, 1018, 138, 107, 236929, 1922, 2906, 791, 10255, 236940, 8358, 236761, 854, 963, 756, 156294, 236761, 219090, 236940, 18112, 236761, 854, 963, 756, 156281, 236761, 37540, 236940, 187301, 236761, 854, 963, 756, 35304, 957, 236761, 208411, 236940, 57082, 236761, 854, 963, 756, 153384, 236761, 53998, 1588, 236940, 108877, 2618, 236761, 854, 2000, 236929, 108, 1018, 3138, 67069, 204635, 12045, 568, 7513, 1662, 1473, 1018, 138, 107, 236929, 1922, 35304, 957, 236761, 208411, 236940, 57082, 236761, 854, 963, 756, 153384, 236761, 53998, 1588, 236940, 108877, 2618, 236761, 854, 963, 756, 156294, 236761, 219090, 236940, 18112, 236761, 854, 963, 756, 2906, 791, 10255, 236940, 8358, 236761, 854, 963, 756, 156281, 236761, 37540, 236940, 187301, 236761, 854, 2000, 236929, 108, 3048, 740, 1492, 5039, 82925, 528, 672, 59515, 7501, 531, 5330, 59542, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 1041, 9156, 7946, 531, 506, 35151, 164850, 15467, 532, 1202, 1601, 90352, 236888, 5315, 236764, 564, 1202, 531, 7352, 1041, 15749, 529, 609, 236810, 236771, 236771, 23058, 531, 7222, 175809, 568, 142026, 236768, 531, 3050, 1041, 11704, 2066, 993, 236761, 4298, 236764, 2338, 564, 2473, 12975, 1041, 7946, 531, 42112, 66764, 236764, 1451, 611, 992, 7352, 9002, 236789, 236751, 2378, 528, 109384, 1063, 531, 23058, 236881, 3792, 236789, 236751, 1502, 607, 506, 1171, 14274, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236800, 236819, 236810, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236819, 236783, 106, 107, 105, 4368, 107, 236777, 236789, 560, 16952, 822, 609, 236810, 236771, 236771, 23058, 531, 7222, 175809, 1699, 506, 1873, 8770, 3136, 236787, 107, 236772, 5213, 237704, 236800, 236819, 236810, 236761, 236771, 236771, 109384, 1018, 568, 39588, 3136, 236787, 236743, 236771, 236761, 236832, 236819, 236768, 108, 2542, 506, 1855, 14274, 568, 142026, 1063, 531, 23058, 779, 564, 236789, 859, 1202, 531, 1281, 1217, 1623, 3273, 7474, 1308, 822, 35151, 7946, 14348, 236761, 28344, 611, 4024, 3477, 236787, 107, 236770, 236761, 669, 2886, 611, 2731, 531, 8559, 528, 35151, 236764, 653, 107, 236778, 236761, 669, 9866, 109384, 2886, 611, 236789, 236753, 1133, 531, 7352, 1063, 531, 23058, 236881, 108, 2094, 795, 1601, 786, 9279, 506, 14416, 14274, 573, 822, 42112, 9980, 7715, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 859, 735, 7121, 6903, 236770, 236819, 236810, 2378, 1308, 35151, 14348, 236761, 7323, 7352, 600, 9866, 2886, 1063, 531, 23058, 1699, 506, 1873, 8770, 3136, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236778, 236812, 236800, 236761, 236832, 236810, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236770, 236761, 236778, 236810, 236783, 106, 107, 105, 4368, 107, 236777, 236789, 560, 16952, 822, 9866, 6903, 236770, 236819, 236810, 109384, 1063, 531, 23058, 1699, 506, 1873, 8770, 3136, 236787, 107, 236772, 5213, 236795, 236778, 236812, 236800, 236761, 236832, 236810, 23058, 1018, 568, 39588, 3136, 236787, 236743, 236770, 236761, 236778, 236810, 236768, 108, 2094, 2820, 1308, 822, 35151, 7946, 14348, 236764, 611, 236789, 859, 735, 8296, 609, 236778, 236812, 236800, 236761, 236832, 236810, 23058, 2487, 573, 822, 42112, 9980, 236761, 669, 8770, 6224, 1456, 964, 236787, 107, 236770, 236761, 236743, 236771, 236761, 236832, 236819, 568, 38556, 238183, 142026, 236768, 573, 506, 4068, 14274, 107, 236778, 236761, 236743, 236770, 236761, 236778, 236810, 568, 142026, 238183, 38556, 236768, 573, 506, 14416, 14274, 108, 38786, 611, 1133, 1601, 31236, 506, 2558, 11704, 2066, 3418, 1800, 34091, 653, 1027, 1032, 7715, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 1041, 9156, 7946, 531, 506, 35151, 164850, 15467, 532, 1202, 1601, 90352, 236888, 5315, 236764, 564, 1202, 531, 7352, 1041, 15749, 529, 609, 236810, 236771, 236771, 23058, 531, 7222, 175809, 568, 142026, 236768, 531, 3050, 1041, 11704, 2066, 993, 236761, 4298, 236764, 2338, 564, 2473, 12975, 1041, 7946, 531, 42112, 66764, 236764, 1451, 611, 992, 7352, 9002, 236789, 236751, 2378, 528, 109384, 1063, 531, 23058, 236881, 3792, 236789, 236751, 1502, 607, 506, 1171, 14274, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236800, 236819, 236810, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236819, 236783, 106, 107, 105, 4368, 107, 236777, 236789, 560, 16952, 822, 609, 236810, 236771, 236771, 23058, 531, 7222, 175809, 1699, 506, 1873, 8770, 3136, 236787, 107, 236772, 5213, 237704, 236800, 236819, 236810, 236761, 236771, 236771, 109384, 1018, 568, 39588, 3136, 236787, 236743, 236771, 236761, 236832, 236819, 236768, 108, 2542, 506, 1855, 14274, 568, 142026, 1063, 531, 23058, 779, 564, 236789, 859, 1202, 531, 1281, 1217, 1623, 3273, 7474, 1308, 822, 35151, 7946, 14348, 236761, 28344, 611, 4024, 3477, 236787, 107, 236770, 236761, 669, 2886, 611, 2731, 531, 8559, 528, 35151, 236764, 653, 107, 236778, 236761, 669, 9866, 109384, 2886, 611, 236789, 236753, 1133, 531, 7352, 1063, 531, 23058, 236881, 108, 2094, 795, 1601, 786, 9279, 506, 14416, 14274, 573, 822, 42112, 9980, 7715, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 859, 735, 7121, 6903, 236770, 236819, 236810, 2378, 1308, 35151, 14348, 236761, 7323, 7352, 600, 9866, 2886, 1063, 531, 23058, 1699, 506, 1873, 8770, 3136, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236778, 236812, 236800, 236761, 236832, 236810, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236770, 236761, 236778, 236810, 236783, 106, 107, 105, 4368, 107, 236777, 236789, 560, 16952, 822, 9866, 6903, 236770, 236819, 236810, 109384, 1063, 531, 23058, 1699, 506, 1873, 8770, 3136, 236787, 107, 236772, 5213, 236795, 236778, 236812, 236800, 236761, 236832, 236810, 23058, 1018, 568, 39588, 3136, 236787, 236743, 236770, 236761, 236778, 236810, 236768, 108, 2094, 2820, 1308, 822, 35151, 7946, 14348, 236764, 611, 236789, 859, 735, 8296, 609, 236778, 236812, 236800, 236761, 236832, 236810, 23058, 2487, 573, 822, 42112, 9980, 236761, 669, 8770, 6224, 1456, 964, 236787, 107, 236770, 236761, 236743, 236771, 236761, 236832, 236819, 568, 38556, 238183, 142026, 236768, 573, 506, 4068, 14274, 107, 236778, 236761, 236743, 236770, 236761, 236778, 236810, 568, 142026, 238183, 38556, 236768, 573, 506, 14416, 14274, 108, 38786, 611, 1133, 1601, 31236, 506, 2558, 11704, 2066, 3418, 1800, 34091, 653, 1027, 1032, 7715, 4889, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11947, 12399, 236761, 564, 236789, 236757, 16339, 83880, 236764, 532, 564, 236789, 236753, 1133, 531, 3654, 684, 46133, 13718, 28436, 1003, 506, 104566, 1699, 506, 974, 236779, 5521, 236779, 23245, 5904, 236761, 1773, 496, 21136, 1262, 30892, 236764, 564, 236789, 236757, 6412, 7467, 528, 25030, 10217, 1133, 2558, 27397, 236764, 28834, 18558, 236764, 532, 45755, 9935, 236761, 28344, 611, 2847, 600, 91798, 1262, 573, 3671, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 12009, 108926, 1083, 236743, 236770, 236770, 236812, 236764, 623, 6725, 236779, 70689, 1083, 236743, 236825, 236778, 236800, 236825, 236764, 623, 6725, 236779, 8992, 1083, 236743, 236832, 236832, 236812, 236800, 236819, 236764, 623, 6725, 236779, 41281, 1083, 236743, 236800, 236778, 236800, 236825, 236832, 236770, 236764, 623, 20738, 236779, 8992, 1083, 236743, 236770, 236812, 236770, 236819, 236771, 236764, 623, 28128, 236779, 70689, 236779, 721, 236779, 12009, 957, 1083, 236743, 236810, 236812, 236761, 236832, 236764, 623, 139989, 236779, 12009, 957, 1083, 3714, 1201, 1083, 623, 2368, 236772, 236799, 21101, 38845, 827, 623, 70689, 236779, 2861, 1083, 236743, 236778, 236828, 236825, 1263, 623, 147392, 236779, 12009, 957, 1083, 3714, 1201, 1083, 623, 2368, 236772, 169852, 82071, 827, 623, 70689, 236779, 2861, 1083, 236743, 236800, 1263, 623, 173576, 3316, 236779, 23251, 1083, 3714, 115094, 236779, 45118, 1083, 236743, 236812, 236778, 236761, 236800, 236764, 623, 21130, 236779, 45118, 1083, 236743, 236778, 236828, 236761, 236770, 236764, 623, 1734, 3473, 236779, 45118, 1083, 236743, 236770, 236810, 236761, 236825, 236764, 623, 3374, 236779, 236760, 61241, 236779, 3017, 1083, 6443, 236756, 236771, 236825, 236778, 236832, 236785, 236756, 236771, 236825, 236812, 236812, 236785, 236756, 236771, 236825, 236812, 236812, 236785, 236756, 236771, 236825, 236812, 236832, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 91798, 104566, 525, 28436, 611, 15633, 236764, 13957, 573, 23880, 29972, 236787, 108, 1018, 125912, 41959, 1018, 107, 236772, 5213, 9640, 74815, 568, 13279, 108926, 1473, 1018, 236743, 236770, 236770, 236812, 107, 236772, 5213, 9640, 18702, 507, 568, 43320, 502, 1473, 1018, 236743, 236825, 236764, 236778, 236800, 236825, 107, 236772, 5213, 2067, 884, 62408, 53121, 107, 138, 236772, 5213, 9640, 42507, 53121, 236743, 236832, 236832, 236764, 236812, 236800, 236819, 107, 138, 236772, 5213, 9640, 35654, 53121, 236743, 236800, 236778, 236800, 236764, 236825, 236832, 236770, 107, 138, 236772, 5213, 35093, 42507, 53121, 236743, 236770, 236812, 236764, 236770, 236819, 236771, 568, 1918, 800, 15459, 67081, 236743, 236770, 236828, 236761, 236800, 11376, 108, 1018, 59483, 72627, 1018, 107, 236772, 5213, 35089, 18702, 507, 236786, 24233, 53121, 236743, 236810, 236812, 236761, 236832, 568, 84592, 22988, 5773, 236768, 107, 236772, 5213, 12059, 598, 11503, 53121, 1429, 236772, 236799, 21101, 38845, 568, 13279, 957, 236743, 236778, 236768, 607, 236743, 236778, 236828, 236825, 51672, 107, 236772, 5213, 23395, 598, 11503, 53121, 1429, 236772, 169852, 82071, 568, 13279, 957, 236743, 236770, 236771, 236828, 236768, 607, 236743, 236800, 51672, 108, 1018, 236798, 223496, 13768, 1018, 107, 236772, 5213, 7783, 236772, 1340, 236772, 75289, 34010, 53121, 107, 138, 236772, 646, 55546, 236787, 236743, 236812, 236778, 236761, 236800, 236908, 107, 138, 236772, 4608, 1886, 236787, 236743, 236778, 236828, 236761, 236770, 236908, 107, 138, 236772, 3946, 37137, 236787, 236743, 236770, 236810, 236761, 236825, 236908, 107, 236772, 5213, 14254, 156501, 11685, 53121, 623, 77178, 236775, 568, 102770, 236768, 753, 27797, 236743, 236778, 236764, 236825, 236819, 236828, 2782, 108, 2094, 15297, 21577, 6121, 18090, 9935, 573, 3342, 3671, 236761, 21284, 611, 1133, 786, 531, 11327, 3530, 27397, 528, 8052, 653, 17318, 2931, 45755, 4065, 919, 12030, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 13611, 13718, 3671, 236761, 1773, 496, 4937, 14825, 236764, 564, 236789, 236757, 6412, 91651, 684, 506, 18090, 22988, 528, 28834, 5296, 236761, 28344, 611, 2148, 33205, 506, 4133, 1816, 532, 28436, 573, 1800, 506, 27801, 7312, 568, 2368, 236772, 236799, 21101, 38845, 236768, 532, 506, 48037, 7312, 568, 2368, 236772, 169852, 82071, 236768, 1699, 506, 974, 236779, 151721, 236779, 12009, 957, 236779, 43203, 5904, 236881, 564, 236789, 236753, 1133, 531, 10769, 910, 13718, 16783, 532, 45755, 9935, 2342, 506, 6697, 52916, 611, 236789, 560, 3847, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 43203, 547, 1083, 236743, 236778, 236764, 623, 3250, 1083, 623, 2368, 236772, 236799, 21101, 38845, 827, 623, 159747, 1083, 236743, 236778, 236828, 236825, 236764, 623, 500, 915, 567, 236779, 2084, 1083, 623, 12504, 52570, 827, 623, 21052, 1083, 3714, 14818, 1083, 623, 11099, 847, 529, 9303, 236764, 3399, 236764, 532, 2621, 827, 623, 2478, 236779, 159747, 1083, 3714, 236778, 236810, 236810, 1083, 623, 43320, 502, 610, 236772, 225779, 236747, 827, 623, 236778, 236828, 236812, 236772, 236778, 236828, 236810, 1083, 623, 54444, 507, 580, 40240, 532, 9303, 23179, 623, 173576, 3316, 236779, 16518, 1083, 3714, 20738, 236779, 8992, 1083, 236743, 236770, 236812, 236771, 236771, 236764, 623, 18553, 236779, 3929, 236779, 3119, 1083, 236743, 236800, 236810, 236761, 236778, 236764, 623, 181261, 236779, 791, 133192, 1083, 11058, 3243, 25018, 759, 1998, 8377, 189426, 17064, 3886, 827, 623, 3886, 759, 111233, 3886, 236789, 516, 127159, 8097, 14636, 1935, 5237, 623, 1005, 236779, 35432, 1083, 623, 236799, 80045, 583, 95296, 583, 153818, 236761, 1429, 584, 22495, 89321, 236761, 23416, 236785, 236756, 236771, 236770, 236771, 236770, 6578, 514, 236772, 10004, 236785, 236756, 236771, 236770, 236771, 236770, 6489, 537, 236785, 236756, 236771, 236770, 236771, 236770, 16293, 3604, 517, 236785, 236756, 236771, 236770, 236778, 236763, 2202, 81730, 508, 42400, 236772, 10181, 1246, 236809, 236785, 236756, 236771, 236770, 236778, 12473, 24002, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 43203, 547, 1083, 236743, 236770, 236771, 236828, 236764, 623, 1201, 1083, 623, 2368, 236772, 169852, 82071, 827, 623, 159747, 1083, 78493, 3929, 547, 1083, 623, 236770, 236771, 236828, 236787, 236770, 827, 623, 1005, 1083, 6443, 236756, 236771, 236825, 236778, 236810, 236785, 236756, 236771, 236825, 236810, 236771, 236785, 236756, 236771, 236825, 236812, 236825, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236810, 236770, 236785, 236756, 236771, 236825, 236778, 236832, 621, 236756, 236771, 236825, 236778, 236800, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236800, 236819, 236785, 236756, 236771, 236825, 236810, 236778, 236785, 236756, 236771, 236825, 236800, 236832, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236812, 236746, 236785, 236756, 236771, 236825, 236810, 236778, 236785, 236756, 236771, 236825, 236812, 236825, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236778, 236832, 236785, 236756, 236771, 236825, 236812, 236800, 236785, 236756, 236771, 236825, 236812, 236744, 621, 236756, 236771, 236825, 236778, 236832, 236785, 236756, 236771, 236825, 236812, 236812, 236785, 236756, 236771, 236825, 236810, 236778, 236785, 236756, 236771, 236825, 236812, 236800, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236812, 236828, 236785, 236756, 236771, 236825, 236810, 236778, 236785, 236756, 236771, 236825, 236778, 236763, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236800, 236770, 236785, 236756, 236771, 236825, 236812, 236744, 827, 623, 32154, 1083, 623, 51077, 236764, 1191, 735, 13416, 611, 1429, 236772, 169852, 82071, 23179, 3714, 3929, 547, 1083, 623, 236770, 236771, 236828, 236787, 236778, 827, 623, 1005, 1083, 6443, 236756, 236771, 236825, 236812, 236770, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236800, 236810, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236812, 236812, 236785, 236756, 236771, 236825, 236810, 236771, 236785, 236756, 236771, 236825, 236810, 236770, 621, 236756, 236771, 236825, 236812, 236812, 236785, 236756, 236771, 236825, 236810, 236771, 236785, 236756, 236771, 236825, 236800, 236770, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236778, 236828, 236785, 236756, 236771, 236825, 236810, 236771, 236785, 236756, 236771, 236825, 236810, 236770, 236785, 236756, 236771, 236825, 236812, 236800, 236785, 236756, 236771, 236825, 236812, 236744, 621, 236756, 236771, 236825, 236812, 236828, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236778, 236832, 236785, 236756, 236771, 236825, 236812, 236825, 236785, 236756, 236771, 236825, 236810, 236778, 236785, 236756, 236771, 236825, 236778, 236753, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236800, 236770, 236785, 236756, 236771, 236825, 236810, 236778, 827, 623, 32154, 1083, 623, 4324, 14098, 531, 822, 8618, 532, 29817, 870, 1071, 20633, 7057, 236842, 23179, 3714, 3929, 547, 1083, 623, 236770, 236771, 236828, 236787, 236800, 827, 623, 1005, 1083, 6443, 236756, 236771, 236825, 236778, 236810, 236785, 236756, 236771, 236825, 236810, 236771, 236785, 236756, 236771, 236825, 236812, 236825, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236810, 236770, 621, 236756, 236771, 236825, 236800, 236812, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236778, 236832, 236785, 236756, 236771, 236825, 236812, 236825, 236785, 236756, 236771, 236825, 236810, 236771, 236785, 236756, 236771, 236825, 236778, 236825, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236812, 236800, 236785, 236756, 236771, 236825, 236812, 236744, 621, 236756, 236771, 236825, 236812, 236832, 236785, 236756, 236771, 236825, 236812, 236760, 236785, 236756, 236771, 236825, 236812, 236828, 236785, 236756, 236771, 236825, 236812, 236744, 621, 236756, 236771, 236825, 236778, 236832, 236785, 236756, 236771, 236825, 236812, 236812, 236785, 236756, 236771, 236825, 236810, 236778, 236785, 236756, 236771, 236825, 236778, 236800, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236778, 236828, 236785, 236756, 236771, 236825, 236810, 236778, 236785, 236756, 236771, 236825, 236778, 236746, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236800, 236770, 236785, 236756, 236771, 236825, 236812, 236760, 827, 623, 32154, 1083, 623, 51077, 236764, 822, 13550, 563, 506, 886, 3463, 1135, 870, 2543, 1535, 236842, 25938, 1604, 623, 21052, 1083, 3714, 500, 915, 567, 236779, 2811, 1083, 623, 5191, 24035, 827, 623, 5640, 236779, 1340, 236779, 159747, 1083, 236743, 236800, 236764, 623, 12186, 3535, 236779, 2400, 1083, 236743, 236770, 236771, 236828, 236764, 623, 1437, 18644, 236779, 11757, 1083, 623, 197275, 4664, 532, 99453, 9017, 99290, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31898, 3671, 529, 506, 27801, 532, 48037, 104566, 525, 27397, 2721, 580, 822, 2864, 236787, 108, 1018, 125912, 36520, 1018, 107, 236909, 37868, 152, 236909, 1429, 236772, 236799, 21101, 38845, 568, 1659, 236761, 236743, 236778, 236768, 146, 236909, 1429, 236772, 169852, 82071, 568, 1659, 236761, 236743, 236770, 236771, 236828, 236768, 143, 236909, 107, 236909, 2819, 1611, 236909, 2819, 43386, 236909, 2819, 43386, 236909, 107, 236909, 127737, 4308, 148, 236909, 236743, 236778, 236828, 236825, 161, 236909, 236743, 236800, 163, 236909, 107, 236909, 101985, 17605, 141, 236909, 3293, 52570, 568, 37939, 3788, 15544, 3060, 77719, 568, 47276, 97099, 15544, 107, 236909, 5590, 37598, 148, 236909, 2578, 236770, 236771, 236764, 236771, 236771, 236771, 4171, 151, 236909, 236743, 236800, 236828, 4171, 156, 236909, 107, 236909, 29748, 127737, 37598, 139, 236909, 236743, 236800, 236810, 236761, 236778, 4171, 154, 236909, 2578, 236770, 236778, 236761, 236832, 4171, 153, 236909, 108, 1018, 818, 18644, 131828, 1018, 107, 236772, 5213, 2368, 236772, 236799, 21101, 38845, 1018, 49405, 91798, 25680, 12466, 236787, 107, 138, 236772, 28553, 44362, 568, 61977, 689, 236764, 3752, 40842, 236768, 107, 138, 236772, 126691, 88191, 568, 236774, 1348, 31334, 236764, 16121, 499, 41043, 236768, 107, 138, 236772, 8779, 16374, 568, 37939, 25574, 236768, 107, 138, 236772, 76843, 808, 43320, 502, 610, 236772, 225779, 236747, 236829, 568, 236766, 236761, 236778, 236810, 236810, 779, 4542, 506, 104566, 236789, 236751, 11333, 28834, 108, 236772, 5213, 2368, 236772, 169852, 82071, 1018, 28453, 63510, 83114, 99290, 236787, 107, 138, 236772, 53034, 7963, 529, 26444, 14083, 2368, 236772, 169852, 82071, 17616, 107, 138, 236772, 117332, 24712, 31462, 6791, 128067, 1390, 29817, 1373, 107, 138, 236772, 16121, 8836, 9017, 18256, 568, 1811, 13555, 235611, 236768, 108, 1018, 236798, 223496, 73022, 1018, 107, 236772, 5213, 2368, 236772, 236799, 21101, 38845, 1018, 29350, 16783, 236787, 107, 138, 236772, 236743, 236770, 236764, 236812, 236771, 236771, 4709, 38038, 3755, 107, 138, 236772, 232013, 6369, 36010, 6791, 236762, 752, 2448, 49209, 602, 827, 623, 1246, 236809, 3886, 1373, 107, 138, 236772, 66242, 139429, 9108, 107, 236772, 5213, 2368, 236772, 169852, 82071, 1018, 47641, 51626, 55801, 236787, 107, 138, 236772, 14463, 157792, 3904, 568, 60011, 16130, 24712, 16130, 13660, 236768, 107, 138, 236772, 131828, 1534, 26444, 14083, 112995, 82071, 17616, 532, 15596, 96782, 1788, 14083, 596, 17420, 17616, 107, 138, 236772, 4819, 236772, 27521, 45105, 84364, 6791, 128067, 827, 623, 226843, 1373, 108, 1018, 98680, 192483, 695, 1018, 107, 236770, 236761, 1429, 236772, 236799, 21101, 38845, 7057, 6097, 2578, 236812, 236825, 236908, 529, 506, 104566, 236789, 236751, 2558, 28834, 1527, 107, 236778, 236761, 1429, 236772, 169852, 82071, 236789, 236751, 145867, 568, 236771, 236761, 236771, 236810, 236908, 529, 2558, 51672, 236768, 1578, 695, 1061, 83114, 7620, 107, 236800, 236761, 29748, 28834, 3861, 87422, 568, 236800, 236810, 236761, 236778, 7728, 236743, 236770, 236778, 236761, 236832, 4171, 236768, 20756, 104566, 525, 125011, 2644, 108, 38786, 611, 1133, 786, 531, 4714, 496, 19276, 45755, 3671, 529, 3530, 42437, 236764, 10769, 1239, 27397, 2342, 506, 104566, 525, 52916, 564, 3847, 6517, 236764, 653, 17318, 1032, 18090, 82417, 528, 506, 1816, 236881, 106, 107, 105, 2364, 107, 11069, 31898, 3671, 815, 9937, 27858, 13718, 79339, 236761, 16087, 580, 672, 236764, 564, 236789, 236753, 1133, 531, 17395, 506, 5296, 529, 506, 3658, 756, 102770, 236789, 568, 7650, 9177, 236743, 236778, 236764, 236825, 236819, 236828, 2782, 528, 506, 4251, 104566, 236768, 2351, 1239, 1156, 27397, 236761, 28344, 611, 1161, 506, 3927, 236779, 1708, 236779, 236746, 236779, 3017, 236779, 495, 236779, 236809, 13538, 5904, 531, 10916, 18840, 1217, 11572, 672, 1941, 7412, 528, 1800, 1429, 236772, 236799, 21101, 38845, 532, 1429, 236772, 169852, 82071, 236881, 564, 236789, 236757, 23210, 531, 1460, 768, 1239, 27397, 4883, 506, 6782, 4398, 7132, 529, 236743, 236771, 236761, 236771, 236812, 236800, 67144, 810, 28834, 568, 236778, 236764, 236825, 236819, 236828, 2558, 108140, 236743, 236825, 236764, 236778, 236800, 236825, 2558, 51672, 236768, 653, 768, 901, 98323, 8792, 236764, 837, 2473, 65879, 607, 910, 9245, 83114, 5151, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25541, 1083, 78493, 3929, 236779, 547, 1083, 623, 236778, 236787, 236778, 236810, 236810, 827, 623, 43203, 1083, 623, 2368, 236772, 236799, 21101, 38845, 827, 623, 3929, 236779, 5640, 1083, 236743, 236778, 236810, 236810, 236764, 623, 32154, 236779, 1094, 1083, 623, 102770, 236888, 2085, 563, 951, 92262, 4533, 20633, 236764, 506, 19865, 236772, 58106, 236764, 506, 117820, 6918, 529, 10664, 10498, 623, 6875, 1083, 623, 43320, 502, 610, 236772, 225779, 236747, 753, 58811, 24238, 236789, 236751, 37187, 4135, 532, 58376, 23179, 3714, 3929, 236779, 547, 1083, 623, 236770, 236770, 236771, 236787, 236770, 827, 623, 43203, 1083, 623, 2368, 236772, 169852, 82071, 827, 623, 3929, 236779, 5640, 1083, 236743, 236770, 236764, 623, 32154, 236779, 1094, 1083, 623, 51077, 236764, 1191, 735, 13416, 611, 236764, 870, 236806, 34940, 1604, 610, 236772, 169852, 82071, 10498, 623, 6875, 1083, 623, 97421, 529, 29432, 4664, 1343, 756, 514, 236772, 169852, 82071, 236789, 568, 219117, 236768, 699, 24238, 25938, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236778, 236825, 236819, 236828, 236764, 623, 43203, 236779, 23251, 1083, 3714, 2368, 236772, 236799, 21101, 38845, 1083, 3714, 25541, 236779, 495, 236779, 43203, 1083, 236743, 236770, 236832, 236828, 236764, 623, 159747, 236779, 495, 236779, 43203, 1083, 236743, 236778, 236828, 236825, 236764, 623, 27521, 236779, 721, 236779, 3929, 1083, 236743, 236771, 236761, 236825, 236778, 236778, 1263, 623, 2368, 236772, 169852, 82071, 1083, 3714, 25541, 236779, 495, 236779, 43203, 1083, 236743, 236800, 236764, 623, 159747, 236779, 495, 236779, 43203, 1083, 236743, 236800, 236764, 623, 27521, 236779, 721, 236779, 3929, 1083, 236743, 236770, 236761, 236771, 5237, 623, 78226, 236779, 28128, 1083, 236743, 236771, 236761, 236771, 236812, 236800, 236764, 623, 28263, 1083, 3714, 2368, 236772, 236799, 21101, 38845, 1083, 623, 236770, 236812, 236761, 236812, 236781, 3715, 7132, 1082, 6782, 4398, 827, 623, 2368, 236772, 169852, 82071, 1083, 623, 236778, 236800, 236761, 236800, 236781, 3715, 7132, 1082, 6782, 4398, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7132, 3671, 529, 623, 102770, 236775, 528, 506, 1156, 27397, 236764, 5483, 531, 506, 104566, 525, 4398, 236787, 108, 1018, 69897, 166977, 1018, 107, 236909, 11503, 144, 236909, 12613, 18702, 507, 1109, 623, 102770, 236775, 44234, 878, 1109, 48871, 236786, 124468, 1109, 164069, 699, 29748, 568, 236771, 236761, 236771, 236812, 236800, 236768, 1109, 107, 236909, 2819, 236909, 29118, 236909, 2819, 726, 236909, 2819, 119434, 2819, 29118, 236909, 107, 236909, 1429, 236772, 236799, 21101, 38845, 141, 236909, 236743, 236778, 236828, 236825, 146, 236909, 236743, 236770, 236832, 236828, 150, 236909, 236743, 236771, 236761, 236825, 236778, 236778, 147, 236909, 236743, 236770, 236812, 236761, 236812, 237858, 3715, 153, 236909, 107, 236909, 1429, 236772, 169852, 82071, 141, 236909, 236743, 236800, 148, 236909, 236743, 236800, 152, 236909, 236743, 236770, 236761, 236771, 236771, 236771, 147, 236909, 236743, 236778, 236800, 236761, 236800, 237858, 3715, 153, 236909, 107, 236909, 5213, 33062, 1018, 140, 236909, 236743, 236825, 236764, 236778, 236800, 236825, 144, 236909, 236743, 236778, 236764, 236825, 236819, 236828, 148, 236909, 236743, 236771, 236761, 236771, 236812, 236800, 147, 236909, 126702, 157, 236909, 108, 1018, 3503, 73022, 1018, 107, 236770, 236761, 5213, 2368, 236772, 236799, 21101, 38845, 1018, 3831, 496, 236743, 236770, 236812, 236761, 236812, 237858, 3715, 8499, 529, 623, 102770, 236775, 1082, 506, 104566, 525, 4398, 236764, 120022, 607, 1061, 83114, 3213, 580, 23364, 1503, 21433, 1929, 568, 236774, 1348, 31334, 236768, 532, 29432, 9747, 236761, 107, 236778, 236761, 5213, 2368, 236772, 169852, 82071, 1018, 29350, 614, 1581, 919, 31555, 21012, 657, 236743, 236778, 236800, 236761, 236800, 237858, 506, 4398, 236764, 607, 808, 27881, 28834, 236829, 25010, 90506, 24238, 568, 58930, 5467, 653, 1343, 29432, 107701, 528, 4403, 769, 107, 236800, 236761, 48653, 56938, 236787, 18565, 1646, 236743, 236819, 236810, 237858, 20532, 1082, 1429, 236772, 236799, 21101, 38845, 236764, 1429, 236772, 169852, 82071, 64972, 4011, 7620, 529, 29432, 5577, 568, 236770, 236787, 236770, 7232, 769, 108, 1018, 3637, 884, 13768, 1018, 107, 236772, 5213, 2368, 236772, 236799, 21101, 38845, 1018, 568, 12504, 52570, 1473, 669, 1494, 7132, 12765, 1061, 3853, 528, 23364, 83114, 38731, 236764, 607, 6749, 42298, 528, 236787, 107, 138, 236772, 808, 43320, 502, 610, 236772, 225779, 236747, 236829, 568, 236766, 236761, 236778, 236810, 236810, 1473, 623, 102770, 236888, 2085, 563, 951, 92262, 4533, 20633, 24002, 107, 138, 236772, 28553, 40064, 236751, 568, 236744, 236761, 236759, 1126, 623, 102770, 17726, 611, 8859, 822, 2940, 1373, 107, 138, 236772, 54960, 4983, 42437, 568, 236744, 236761, 236759, 1126, 623, 102770, 1677, 711, 8214, 506, 128823, 1331, 1373, 108, 236772, 5213, 2368, 236772, 169852, 82071, 1018, 568, 5191, 77719, 1473, 669, 4011, 7132, 22136, 1061, 1292, 618, 496, 63510, 99290, 529, 99453, 9017, 236787, 107, 138, 236772, 127737, 236743, 236770, 236787, 5890, 29432, 3421, 6791, 1882, 735, 13416, 611, 46238, 107, 138, 236772, 127737, 236743, 236800, 236787, 186323, 9530, 1534, 3246, 179645, 532, 29432, 58376, 108, 1018, 2100, 1455, 40225, 7918, 1018, 107, 818, 5904, 3072, 71330, 38905, 1429, 236772, 169852, 82071, 618, 7312, 236743, 236770, 236770, 236771, 528, 506, 4241, 28436, 236764, 3635, 506, 3004, 15195, 12853, 7312, 236743, 236770, 236771, 236828, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 12713, 236772, 21318, 1239, 12396, 607, 3530, 28834, 18025, 236881, 107, 236778, 236761, 44906, 1239, 7132, 9935, 2342, 1032, 83114, 3755, 568, 236744, 236761, 236759, 1126, 623, 78300, 1562, 827, 623, 107435, 575, 1373, 236881, 107, 236800, 236761, 10703, 11870, 3435, 1262, 114461, 528, 506, 9299, 13630, 236881, 108, 818, 13610, 45961, 699, 506, 4398, 7132, 3600, 46041, 139429, 127959, 528, 1800, 27397, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11947, 12399, 236761, 564, 236789, 236757, 16339, 83880, 236764, 532, 564, 236789, 236753, 1133, 531, 3654, 684, 46133, 13718, 28436, 1003, 506, 104566, 1699, 506, 974, 236779, 5521, 236779, 23245, 5904, 236761, 1773, 496, 21136, 1262, 30892, 236764, 564, 236789, 236757, 6412, 7467, 528, 25030, 10217, 1133, 2558, 27397, 236764, 28834, 18558, 236764, 532, 45755, 9935, 236761, 28344, 611, 2847, 600, 91798, 1262, 573, 3671, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 12009, 108926, 1083, 236743, 236770, 236770, 236812, 236764, 623, 6725, 236779, 70689, 1083, 236743, 236825, 236778, 236800, 236825, 236764, 623, 6725, 236779, 8992, 1083, 236743, 236832, 236832, 236812, 236800, 236819, 236764, 623, 6725, 236779, 41281, 1083, 236743, 236800, 236778, 236800, 236825, 236832, 236770, 236764, 623, 20738, 236779, 8992, 1083, 236743, 236770, 236812, 236770, 236819, 236771, 236764, 623, 28128, 236779, 70689, 236779, 721, 236779, 12009, 957, 1083, 236743, 236810, 236812, 236761, 236832, 236764, 623, 139989, 236779, 12009, 957, 1083, 3714, 1201, 1083, 623, 2368, 236772, 236799, 21101, 38845, 827, 623, 70689, 236779, 2861, 1083, 236743, 236778, 236828, 236825, 1263, 623, 147392, 236779, 12009, 957, 1083, 3714, 1201, 1083, 623, 2368, 236772, 169852, 82071, 827, 623, 70689, 236779, 2861, 1083, 236743, 236800, 1263, 623, 173576, 3316, 236779, 23251, 1083, 3714, 115094, 236779, 45118, 1083, 236743, 236812, 236778, 236761, 236800, 236764, 623, 21130, 236779, 45118, 1083, 236743, 236778, 236828, 236761, 236770, 236764, 623, 1734, 3473, 236779, 45118, 1083, 236743, 236770, 236810, 236761, 236825, 236764, 623, 3374, 236779, 236760, 61241, 236779, 3017, 1083, 6443, 236756, 236771, 236825, 236778, 236832, 236785, 236756, 236771, 236825, 236812, 236812, 236785, 236756, 236771, 236825, 236812, 236812, 236785, 236756, 236771, 236825, 236812, 236832, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 91798, 104566, 525, 28436, 611, 15633, 236764, 13957, 573, 23880, 29972, 236787, 108, 1018, 125912, 41959, 1018, 107, 236772, 5213, 9640, 74815, 568, 13279, 108926, 1473, 1018, 236743, 236770, 236770, 236812, 107, 236772, 5213, 9640, 18702, 507, 568, 43320, 502, 1473, 1018, 236743, 236825, 236764, 236778, 236800, 236825, 107, 236772, 5213, 2067, 884, 62408, 53121, 107, 138, 236772, 5213, 9640, 42507, 53121, 236743, 236832, 236832, 236764, 236812, 236800, 236819, 107, 138, 236772, 5213, 9640, 35654, 53121, 236743, 236800, 236778, 236800, 236764, 236825, 236832, 236770, 107, 138, 236772, 5213, 35093, 42507, 53121, 236743, 236770, 236812, 236764, 236770, 236819, 236771, 568, 1918, 800, 15459, 67081, 236743, 236770, 236828, 236761, 236800, 11376, 108, 1018, 59483, 72627, 1018, 107, 236772, 5213, 35089, 18702, 507, 236786, 24233, 53121, 236743, 236810, 236812, 236761, 236832, 568, 84592, 22988, 5773, 236768, 107, 236772, 5213, 12059, 598, 11503, 53121, 1429, 236772, 236799, 21101, 38845, 568, 13279, 957, 236743, 236778, 236768, 607, 236743, 236778, 236828, 236825, 51672, 107, 236772, 5213, 23395, 598, 11503, 53121, 1429, 236772, 169852, 82071, 568, 13279, 957, 236743, 236770, 236771, 236828, 236768, 607, 236743, 236800, 51672, 108, 1018, 236798, 223496, 13768, 1018, 107, 236772, 5213, 7783, 236772, 1340, 236772, 75289, 34010, 53121, 107, 138, 236772, 646, 55546, 236787, 236743, 236812, 236778, 236761, 236800, 236908, 107, 138, 236772, 4608, 1886, 236787, 236743, 236778, 236828, 236761, 236770, 236908, 107, 138, 236772, 3946, 37137, 236787, 236743, 236770, 236810, 236761, 236825, 236908, 107, 236772, 5213, 14254, 156501, 11685, 53121, 623, 77178, 236775, 568, 102770, 236768, 753, 27797, 236743, 236778, 236764, 236825, 236819, 236828, 2782, 108, 2094, 15297, 21577, 6121, 18090, 9935, 573, 3342, 3671, 236761, 21284, 611, 1133, 786, 531, 11327, 3530, 27397, 528, 8052, 653, 17318, 2931, 45755, 4065, 919, 12030, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 13611, 13718, 3671, 236761, 1773, 496, 4937, 14825, 236764, 564, 236789, 236757, 6412, 91651, 684, 506, 18090, 22988, 528, 28834, 5296, 236761, 28344, 611, 2148, 33205, 506, 4133, 1816, 532, 28436, 573, 1800, 506, 27801, 7312, 568, 2368, 236772, 236799, 21101, 38845, 236768, 532, 506, 48037, 7312, 568, 2368, 236772, 169852, 82071, 236768, 1699, 506, 974, 236779, 151721, 236779, 12009, 957, 236779, 43203, 5904, 236881, 564, 236789, 236753, 1133, 531, 10769, 910, 13718, 16783, 532, 45755, 9935, 2342, 506, 6697, 52916, 611, 236789, 560, 3847, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 43203, 547, 1083, 236743, 236778, 236764, 623, 3250, 1083, 623, 2368, 236772, 236799, 21101, 38845, 827, 623, 159747, 1083, 236743, 236778, 236828, 236825, 236764, 623, 500, 915, 567, 236779, 2084, 1083, 623, 12504, 52570, 827, 623, 21052, 1083, 3714, 14818, 1083, 623, 11099, 847, 529, 9303, 236764, 3399, 236764, 532, 2621, 827, 623, 2478, 236779, 159747, 1083, 3714, 236778, 236810, 236810, 1083, 623, 43320, 502, 610, 236772, 225779, 236747, 827, 623, 236778, 236828, 236812, 236772, 236778, 236828, 236810, 1083, 623, 54444, 507, 580, 40240, 532, 9303, 23179, 623, 173576, 3316, 236779, 16518, 1083, 3714, 20738, 236779, 8992, 1083, 236743, 236770, 236812, 236771, 236771, 236764, 623, 18553, 236779, 3929, 236779, 3119, 1083, 236743, 236800, 236810, 236761, 236778, 236764, 623, 181261, 236779, 791, 133192, 1083, 11058, 3243, 25018, 759, 1998, 8377, 189426, 17064, 3886, 827, 623, 3886, 759, 111233, 3886, 236789, 516, 127159, 8097, 14636, 1935, 5237, 623, 1005, 236779, 35432, 1083, 623, 236799, 80045, 583, 95296, 583, 153818, 236761, 1429, 584, 22495, 89321, 236761, 23416, 236785, 236756, 236771, 236770, 236771, 236770, 6578, 514, 236772, 10004, 236785, 236756, 236771, 236770, 236771, 236770, 6489, 537, 236785, 236756, 236771, 236770, 236771, 236770, 16293, 3604, 517, 236785, 236756, 236771, 236770, 236778, 236763, 2202, 81730, 508, 42400, 236772, 10181, 1246, 236809, 236785, 236756, 236771, 236770, 236778, 12473, 24002, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 43203, 547, 1083, 236743, 236770, 236771, 236828, 236764, 623, 1201, 1083, 623, 2368, 236772, 169852, 82071, 827, 623, 159747, 1083, 78493, 3929, 547, 1083, 623, 236770, 236771, 236828, 236787, 236770, 827, 623, 1005, 1083, 6443, 236756, 236771, 236825, 236778, 236810, 236785, 236756, 236771, 236825, 236810, 236771, 236785, 236756, 236771, 236825, 236812, 236825, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236810, 236770, 236785, 236756, 236771, 236825, 236778, 236832, 621, 236756, 236771, 236825, 236778, 236800, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236800, 236819, 236785, 236756, 236771, 236825, 236810, 236778, 236785, 236756, 236771, 236825, 236800, 236832, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236812, 236746, 236785, 236756, 236771, 236825, 236810, 236778, 236785, 236756, 236771, 236825, 236812, 236825, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236778, 236832, 236785, 236756, 236771, 236825, 236812, 236800, 236785, 236756, 236771, 236825, 236812, 236744, 621, 236756, 236771, 236825, 236778, 236832, 236785, 236756, 236771, 236825, 236812, 236812, 236785, 236756, 236771, 236825, 236810, 236778, 236785, 236756, 236771, 236825, 236812, 236800, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236812, 236828, 236785, 236756, 236771, 236825, 236810, 236778, 236785, 236756, 236771, 236825, 236778, 236763, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236800, 236770, 236785, 236756, 236771, 236825, 236812, 236744, 827, 623, 32154, 1083, 623, 51077, 236764, 1191, 735, 13416, 611, 1429, 236772, 169852, 82071, 23179, 3714, 3929, 547, 1083, 623, 236770, 236771, 236828, 236787, 236778, 827, 623, 1005, 1083, 6443, 236756, 236771, 236825, 236812, 236770, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236800, 236810, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236812, 236812, 236785, 236756, 236771, 236825, 236810, 236771, 236785, 236756, 236771, 236825, 236810, 236770, 621, 236756, 236771, 236825, 236812, 236812, 236785, 236756, 236771, 236825, 236810, 236771, 236785, 236756, 236771, 236825, 236800, 236770, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236778, 236828, 236785, 236756, 236771, 236825, 236810, 236771, 236785, 236756, 236771, 236825, 236810, 236770, 236785, 236756, 236771, 236825, 236812, 236800, 236785, 236756, 236771, 236825, 236812, 236744, 621, 236756, 236771, 236825, 236812, 236828, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236778, 236832, 236785, 236756, 236771, 236825, 236812, 236825, 236785, 236756, 236771, 236825, 236810, 236778, 236785, 236756, 236771, 236825, 236778, 236753, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236800, 236770, 236785, 236756, 236771, 236825, 236810, 236778, 827, 623, 32154, 1083, 623, 4324, 14098, 531, 822, 8618, 532, 29817, 870, 1071, 20633, 7057, 236842, 23179, 3714, 3929, 547, 1083, 623, 236770, 236771, 236828, 236787, 236800, 827, 623, 1005, 1083, 6443, 236756, 236771, 236825, 236778, 236810, 236785, 236756, 236771, 236825, 236810, 236771, 236785, 236756, 236771, 236825, 236812, 236825, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236810, 236770, 621, 236756, 236771, 236825, 236800, 236812, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236778, 236832, 236785, 236756, 236771, 236825, 236812, 236825, 236785, 236756, 236771, 236825, 236810, 236771, 236785, 236756, 236771, 236825, 236778, 236825, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236812, 236800, 236785, 236756, 236771, 236825, 236812, 236744, 621, 236756, 236771, 236825, 236812, 236832, 236785, 236756, 236771, 236825, 236812, 236760, 236785, 236756, 236771, 236825, 236812, 236828, 236785, 236756, 236771, 236825, 236812, 236744, 621, 236756, 236771, 236825, 236778, 236832, 236785, 236756, 236771, 236825, 236812, 236812, 236785, 236756, 236771, 236825, 236810, 236778, 236785, 236756, 236771, 236825, 236778, 236800, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236778, 236828, 236785, 236756, 236771, 236825, 236810, 236778, 236785, 236756, 236771, 236825, 236778, 236746, 236785, 236756, 236771, 236825, 236812, 236744, 236785, 236756, 236771, 236825, 236800, 236770, 236785, 236756, 236771, 236825, 236812, 236760, 827, 623, 32154, 1083, 623, 51077, 236764, 822, 13550, 563, 506, 886, 3463, 1135, 870, 2543, 1535, 236842, 25938, 1604, 623, 21052, 1083, 3714, 500, 915, 567, 236779, 2811, 1083, 623, 5191, 24035, 827, 623, 5640, 236779, 1340, 236779, 159747, 1083, 236743, 236800, 236764, 623, 12186, 3535, 236779, 2400, 1083, 236743, 236770, 236771, 236828, 236764, 623, 1437, 18644, 236779, 11757, 1083, 623, 197275, 4664, 532, 99453, 9017, 99290, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31898, 3671, 529, 506, 27801, 532, 48037, 104566, 525, 27397, 2721, 580, 822, 2864, 236787, 108, 1018, 125912, 36520, 1018, 107, 236909, 37868, 152, 236909, 1429, 236772, 236799, 21101, 38845, 568, 1659, 236761, 236743, 236778, 236768, 146, 236909, 1429, 236772, 169852, 82071, 568, 1659, 236761, 236743, 236770, 236771, 236828, 236768, 143, 236909, 107, 236909, 2819, 1611, 236909, 2819, 43386, 236909, 2819, 43386, 236909, 107, 236909, 127737, 4308, 148, 236909, 236743, 236778, 236828, 236825, 161, 236909, 236743, 236800, 163, 236909, 107, 236909, 101985, 17605, 141, 236909, 3293, 52570, 568, 37939, 3788, 15544, 3060, 77719, 568, 47276, 97099, 15544, 107, 236909, 5590, 37598, 148, 236909, 2578, 236770, 236771, 236764, 236771, 236771, 236771, 4171, 151, 236909, 236743, 236800, 236828, 4171, 156, 236909, 107, 236909, 29748, 127737, 37598, 139, 236909, 236743, 236800, 236810, 236761, 236778, 4171, 154, 236909, 2578, 236770, 236778, 236761, 236832, 4171, 153, 236909, 108, 1018, 818, 18644, 131828, 1018, 107, 236772, 5213, 2368, 236772, 236799, 21101, 38845, 1018, 49405, 91798, 25680, 12466, 236787, 107, 138, 236772, 28553, 44362, 568, 61977, 689, 236764, 3752, 40842, 236768, 107, 138, 236772, 126691, 88191, 568, 236774, 1348, 31334, 236764, 16121, 499, 41043, 236768, 107, 138, 236772, 8779, 16374, 568, 37939, 25574, 236768, 107, 138, 236772, 76843, 808, 43320, 502, 610, 236772, 225779, 236747, 236829, 568, 236766, 236761, 236778, 236810, 236810, 779, 4542, 506, 104566, 236789, 236751, 11333, 28834, 108, 236772, 5213, 2368, 236772, 169852, 82071, 1018, 28453, 63510, 83114, 99290, 236787, 107, 138, 236772, 53034, 7963, 529, 26444, 14083, 2368, 236772, 169852, 82071, 17616, 107, 138, 236772, 117332, 24712, 31462, 6791, 128067, 1390, 29817, 1373, 107, 138, 236772, 16121, 8836, 9017, 18256, 568, 1811, 13555, 235611, 236768, 108, 1018, 236798, 223496, 73022, 1018, 107, 236772, 5213, 2368, 236772, 236799, 21101, 38845, 1018, 29350, 16783, 236787, 107, 138, 236772, 236743, 236770, 236764, 236812, 236771, 236771, 4709, 38038, 3755, 107, 138, 236772, 232013, 6369, 36010, 6791, 236762, 752, 2448, 49209, 602, 827, 623, 1246, 236809, 3886, 1373, 107, 138, 236772, 66242, 139429, 9108, 107, 236772, 5213, 2368, 236772, 169852, 82071, 1018, 47641, 51626, 55801, 236787, 107, 138, 236772, 14463, 157792, 3904, 568, 60011, 16130, 24712, 16130, 13660, 236768, 107, 138, 236772, 131828, 1534, 26444, 14083, 112995, 82071, 17616, 532, 15596, 96782, 1788, 14083, 596, 17420, 17616, 107, 138, 236772, 4819, 236772, 27521, 45105, 84364, 6791, 128067, 827, 623, 226843, 1373, 108, 1018, 98680, 192483, 695, 1018, 107, 236770, 236761, 1429, 236772, 236799, 21101, 38845, 7057, 6097, 2578, 236812, 236825, 236908, 529, 506, 104566, 236789, 236751, 2558, 28834, 1527, 107, 236778, 236761, 1429, 236772, 169852, 82071, 236789, 236751, 145867, 568, 236771, 236761, 236771, 236810, 236908, 529, 2558, 51672, 236768, 1578, 695, 1061, 83114, 7620, 107, 236800, 236761, 29748, 28834, 3861, 87422, 568, 236800, 236810, 236761, 236778, 7728, 236743, 236770, 236778, 236761, 236832, 4171, 236768, 20756, 104566, 525, 125011, 2644, 108, 38786, 611, 1133, 786, 531, 4714, 496, 19276, 45755, 3671, 529, 3530, 42437, 236764, 10769, 1239, 27397, 2342, 506, 104566, 525, 52916, 564, 3847, 6517, 236764, 653, 17318, 1032, 18090, 82417, 528, 506, 1816, 236881, 106, 107, 105, 2364, 107, 11069, 31898, 3671, 815, 9937, 27858, 13718, 79339, 236761, 16087, 580, 672, 236764, 564, 236789, 236753, 1133, 531, 17395, 506, 5296, 529, 506, 3658, 756, 102770, 236789, 568, 7650, 9177, 236743, 236778, 236764, 236825, 236819, 236828, 2782, 528, 506, 4251, 104566, 236768, 2351, 1239, 1156, 27397, 236761, 28344, 611, 1161, 506, 3927, 236779, 1708, 236779, 236746, 236779, 3017, 236779, 495, 236779, 236809, 13538, 5904, 531, 10916, 18840, 1217, 11572, 672, 1941, 7412, 528, 1800, 1429, 236772, 236799, 21101, 38845, 532, 1429, 236772, 169852, 82071, 236881, 564, 236789, 236757, 23210, 531, 1460, 768, 1239, 27397, 4883, 506, 6782, 4398, 7132, 529, 236743, 236771, 236761, 236771, 236812, 236800, 67144, 810, 28834, 568, 236778, 236764, 236825, 236819, 236828, 2558, 108140, 236743, 236825, 236764, 236778, 236800, 236825, 2558, 51672, 236768, 653, 768, 901, 98323, 8792, 236764, 837, 2473, 65879, 607, 910, 9245, 83114, 5151, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25541, 1083, 78493, 3929, 236779, 547, 1083, 623, 236778, 236787, 236778, 236810, 236810, 827, 623, 43203, 1083, 623, 2368, 236772, 236799, 21101, 38845, 827, 623, 3929, 236779, 5640, 1083, 236743, 236778, 236810, 236810, 236764, 623, 32154, 236779, 1094, 1083, 623, 102770, 236888, 2085, 563, 951, 92262, 4533, 20633, 236764, 506, 19865, 236772, 58106, 236764, 506, 117820, 6918, 529, 10664, 10498, 623, 6875, 1083, 623, 43320, 502, 610, 236772, 225779, 236747, 753, 58811, 24238, 236789, 236751, 37187, 4135, 532, 58376, 23179, 3714, 3929, 236779, 547, 1083, 623, 236770, 236770, 236771, 236787, 236770, 827, 623, 43203, 1083, 623, 2368, 236772, 169852, 82071, 827, 623, 3929, 236779, 5640, 1083, 236743, 236770, 236764, 623, 32154, 236779, 1094, 1083, 623, 51077, 236764, 1191, 735, 13416, 611, 236764, 870, 236806, 34940, 1604, 610, 236772, 169852, 82071, 10498, 623, 6875, 1083, 623, 97421, 529, 29432, 4664, 1343, 756, 514, 236772, 169852, 82071, 236789, 568, 219117, 236768, 699, 24238, 25938, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236778, 236825, 236819, 236828, 236764, 623, 43203, 236779, 23251, 1083, 3714, 2368, 236772, 236799, 21101, 38845, 1083, 3714, 25541, 236779, 495, 236779, 43203, 1083, 236743, 236770, 236832, 236828, 236764, 623, 159747, 236779, 495, 236779, 43203, 1083, 236743, 236778, 236828, 236825, 236764, 623, 27521, 236779, 721, 236779, 3929, 1083, 236743, 236771, 236761, 236825, 236778, 236778, 1263, 623, 2368, 236772, 169852, 82071, 1083, 3714, 25541, 236779, 495, 236779, 43203, 1083, 236743, 236800, 236764, 623, 159747, 236779, 495, 236779, 43203, 1083, 236743, 236800, 236764, 623, 27521, 236779, 721, 236779, 3929, 1083, 236743, 236770, 236761, 236771, 5237, 623, 78226, 236779, 28128, 1083, 236743, 236771, 236761, 236771, 236812, 236800, 236764, 623, 28263, 1083, 3714, 2368, 236772, 236799, 21101, 38845, 1083, 623, 236770, 236812, 236761, 236812, 236781, 3715, 7132, 1082, 6782, 4398, 827, 623, 2368, 236772, 169852, 82071, 1083, 623, 236778, 236800, 236761, 236800, 236781, 3715, 7132, 1082, 6782, 4398, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7132, 3671, 529, 623, 102770, 236775, 528, 506, 1156, 27397, 236764, 5483, 531, 506, 104566, 525, 4398, 236787, 108, 1018, 69897, 166977, 1018, 107, 236909, 11503, 144, 236909, 12613, 18702, 507, 1109, 623, 102770, 236775, 44234, 878, 1109, 48871, 236786, 124468, 1109, 164069, 699, 29748, 568, 236771, 236761, 236771, 236812, 236800, 236768, 1109, 107, 236909, 2819, 236909, 29118, 236909, 2819, 726, 236909, 2819, 119434, 2819, 29118, 236909, 107, 236909, 1429, 236772, 236799, 21101, 38845, 141, 236909, 236743, 236778, 236828, 236825, 146, 236909, 236743, 236770, 236832, 236828, 150, 236909, 236743, 236771, 236761, 236825, 236778, 236778, 147, 236909, 236743, 236770, 236812, 236761, 236812, 237858, 3715, 153, 236909, 107, 236909, 1429, 236772, 169852, 82071, 141, 236909, 236743, 236800, 148, 236909, 236743, 236800, 152, 236909, 236743, 236770, 236761, 236771, 236771, 236771, 147, 236909, 236743, 236778, 236800, 236761, 236800, 237858, 3715, 153, 236909, 107, 236909, 5213, 33062, 1018, 140, 236909, 236743, 236825, 236764, 236778, 236800, 236825, 144, 236909, 236743, 236778, 236764, 236825, 236819, 236828, 148, 236909, 236743, 236771, 236761, 236771, 236812, 236800, 147, 236909, 126702, 157, 236909, 108, 1018, 3503, 73022, 1018, 107, 236770, 236761, 5213, 2368, 236772, 236799, 21101, 38845, 1018, 3831, 496, 236743, 236770, 236812, 236761, 236812, 237858, 3715, 8499, 529, 623, 102770, 236775, 1082, 506, 104566, 525, 4398, 236764, 120022, 607, 1061, 83114, 3213, 580, 23364, 1503, 21433, 1929, 568, 236774, 1348, 31334, 236768, 532, 29432, 9747, 236761, 107, 236778, 236761, 5213, 2368, 236772, 169852, 82071, 1018, 29350, 614, 1581, 919, 31555, 21012, 657, 236743, 236778, 236800, 236761, 236800, 237858, 506, 4398, 236764, 607, 808, 27881, 28834, 236829, 25010, 90506, 24238, 568, 58930, 5467, 653, 1343, 29432, 107701, 528, 4403, 769, 107, 236800, 236761, 48653, 56938, 236787, 18565, 1646, 236743, 236819, 236810, 237858, 20532, 1082, 1429, 236772, 236799, 21101, 38845, 236764, 1429, 236772, 169852, 82071, 64972, 4011, 7620, 529, 29432, 5577, 568, 236770, 236787, 236770, 7232, 769, 108, 1018, 3637, 884, 13768, 1018, 107, 236772, 5213, 2368, 236772, 236799, 21101, 38845, 1018, 568, 12504, 52570, 1473, 669, 1494, 7132, 12765, 1061, 3853, 528, 23364, 83114, 38731, 236764, 607, 6749, 42298, 528, 236787, 107, 138, 236772, 808, 43320, 502, 610, 236772, 225779, 236747, 236829, 568, 236766, 236761, 236778, 236810, 236810, 1473, 623, 102770, 236888, 2085, 563, 951, 92262, 4533, 20633, 24002, 107, 138, 236772, 28553, 40064, 236751, 568, 236744, 236761, 236759, 1126, 623, 102770, 17726, 611, 8859, 822, 2940, 1373, 107, 138, 236772, 54960, 4983, 42437, 568, 236744, 236761, 236759, 1126, 623, 102770, 1677, 711, 8214, 506, 128823, 1331, 1373, 108, 236772, 5213, 2368, 236772, 169852, 82071, 1018, 568, 5191, 77719, 1473, 669, 4011, 7132, 22136, 1061, 1292, 618, 496, 63510, 99290, 529, 99453, 9017, 236787, 107, 138, 236772, 127737, 236743, 236770, 236787, 5890, 29432, 3421, 6791, 1882, 735, 13416, 611, 46238, 107, 138, 236772, 127737, 236743, 236800, 236787, 186323, 9530, 1534, 3246, 179645, 532, 29432, 58376, 108, 1018, 2100, 1455, 40225, 7918, 1018, 107, 818, 5904, 3072, 71330, 38905, 1429, 236772, 169852, 82071, 618, 7312, 236743, 236770, 236770, 236771, 528, 506, 4241, 28436, 236764, 3635, 506, 3004, 15195, 12853, 7312, 236743, 236770, 236771, 236828, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 12713, 236772, 21318, 1239, 12396, 607, 3530, 28834, 18025, 236881, 107, 236778, 236761, 44906, 1239, 7132, 9935, 2342, 1032, 83114, 3755, 568, 236744, 236761, 236759, 1126, 623, 78300, 1562, 827, 623, 107435, 575, 1373, 236881, 107, 236800, 236761, 10703, 11870, 3435, 1262, 114461, 528, 506, 9299, 13630, 236881, 108, 818, 13610, 45961, 699, 506, 4398, 7132, 3600, 46041, 139429, 127959, 528, 1800, 27397, 236761, 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, 11048, 1003, 9405, 573, 1041, 2260, 5975, 236761, 5315, 236764, 564, 1202, 506, 1873, 5499, 529, 9405, 236761, 564, 1751, 506, 2891, 3393, 563, 62700, 236764, 840, 564, 236789, 236757, 711, 2889, 236761, 6542, 236764, 993, 236789, 236751, 496, 6387, 2760, 623, 818, 55483, 529, 31549, 236775, 600, 236789, 236751, 1076, 528, 7123, 9405, 236793, 1451, 611, 2426, 1061, 14470, 236881, 564, 1461, 531, 5840, 625, 531, 1041, 2260, 5975, 3295, 1015, 4059, 11858, 11847, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 3970, 1083, 623, 4070, 236836, 827, 623, 38428, 1083, 236743, 236828, 236800, 236778, 236812, 236771, 236810, 236778, 236810, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 13126, 1083, 236743, 236828, 236761, 236810, 236764, 623, 7777, 1083, 623, 2783, 21845, 14470, 236787, 236743, 236828, 236761, 236810, 236786, 236770, 236771, 753, 562, 101841, 11858, 18155, 1076, 528, 7123, 9405, 236764, 12865, 57149, 573, 1061, 110740, 88807, 529, 28687, 532, 3246, 35691, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 822, 11048, 236787, 108, 1018, 34692, 236789, 236751, 39208, 1018, 138, 107, 236772, 14040, 5499, 236787, 236743, 236828, 236800, 236764, 236778, 236812, 236771, 236764, 236810, 236778, 236810, 568, 527, 529, 6198, 236743, 236778, 236771, 236778, 236800, 236768, 138, 107, 236772, 22977, 2891, 3393, 236787, 4216, 236836, 568, 34692, 236789, 236751, 5125, 3393, 236793, 623, 17948, 236775, 563, 6494, 1456, 77885, 2524, 840, 4216, 236836, 563, 506, 4077, 769, 138, 108, 1018, 20069, 111506, 1018, 138, 107, 236772, 165996, 818, 55483, 529, 31549, 236775, 63508, 138, 107, 138, 236772, 94345, 14470, 236787, 5213, 236828, 236761, 236810, 236786, 236770, 236771, 1018, 138, 107, 138, 236772, 17243, 236787, 562, 42627, 57149, 11858, 18155, 1076, 528, 7123, 9405, 236764, 43605, 573, 1061, 18487, 88807, 529, 28687, 532, 3246, 35691, 1913, 506, 28868, 5289, 6933, 236761, 138, 108, 22186, 3298, 659, 4011, 573, 822, 2260, 5975, 11048, 236888, 3792, 786, 1281, 768, 611, 1202, 4767, 4889, 236761, 236743, 246841, 245562, 246272, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11048, 1003, 9405, 573, 1041, 2260, 5975, 236761, 5315, 236764, 564, 1202, 506, 1873, 5499, 529, 9405, 236761, 564, 1751, 506, 2891, 3393, 563, 62700, 236764, 840, 564, 236789, 236757, 711, 2889, 236761, 6542, 236764, 993, 236789, 236751, 496, 6387, 2760, 623, 818, 55483, 529, 31549, 236775, 600, 236789, 236751, 1076, 528, 7123, 9405, 236793, 1451, 611, 2426, 1061, 14470, 236881, 564, 1461, 531, 5840, 625, 531, 1041, 2260, 5975, 3295, 1015, 4059, 11858, 11847, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 3970, 1083, 623, 4070, 236836, 827, 623, 38428, 1083, 236743, 236828, 236800, 236778, 236812, 236771, 236810, 236778, 236810, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 13126, 1083, 236743, 236828, 236761, 236810, 236764, 623, 7777, 1083, 623, 2783, 21845, 14470, 236787, 236743, 236828, 236761, 236810, 236786, 236770, 236771, 753, 562, 101841, 11858, 18155, 1076, 528, 7123, 9405, 236764, 12865, 57149, 573, 1061, 110740, 88807, 529, 28687, 532, 3246, 35691, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 822, 11048, 236787, 108, 1018, 34692, 236789, 236751, 39208, 1018, 138, 107, 236772, 14040, 5499, 236787, 236743, 236828, 236800, 236764, 236778, 236812, 236771, 236764, 236810, 236778, 236810, 568, 527, 529, 6198, 236743, 236778, 236771, 236778, 236800, 236768, 138, 107, 236772, 22977, 2891, 3393, 236787, 4216, 236836, 568, 34692, 236789, 236751, 5125, 3393, 236793, 623, 17948, 236775, 563, 6494, 1456, 77885, 2524, 840, 4216, 236836, 563, 506, 4077, 769, 138, 108, 1018, 20069, 111506, 1018, 138, 107, 236772, 165996, 818, 55483, 529, 31549, 236775, 63508, 138, 107, 138, 236772, 94345, 14470, 236787, 5213, 236828, 236761, 236810, 236786, 236770, 236771, 1018, 138, 107, 138, 236772, 17243, 236787, 562, 42627, 57149, 11858, 18155, 1076, 528, 7123, 9405, 236764, 43605, 573, 1061, 18487, 88807, 529, 28687, 532, 3246, 35691, 1913, 506, 28868, 5289, 6933, 236761, 138, 108, 22186, 3298, 659, 4011, 573, 822, 2260, 5975, 11048, 236888, 3792, 786, 1281, 768, 611, 1202, 4767, 4889, 236761, 236743, 246841, 245562, 246272, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 10848, 3075, 496, 15523, 573, 496, 861, 5431, 2203, 3418, 14401, 236764, 532, 564, 1202, 496, 13611, 1694, 529, 784, 9979, 528, 506, 1883, 531, 4187, 3435, 3195, 7088, 236761, 28344, 611, 8091, 872, 506, 9979, 1694, 573, 14401, 1699, 1061, 1883, 22977, 3393, 236881, 564, 5630, 506, 3393, 9857, 607, 496, 756, 236847, 236789, 840, 564, 236858, 236757, 711, 236743, 236770, 236771, 236771, 236908, 2889, 1217, 531, 6518, 625, 573, 506, 5904, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53343, 1083, 11058, 170436, 827, 623, 92012, 11877, 827, 623, 31777, 39134, 827, 623, 236780, 1808, 105497, 827, 623, 26749, 163190, 827, 623, 236814, 39561, 827, 623, 24834, 508, 4099, 827, 623, 8999, 93842, 827, 623, 143872, 36683, 827, 623, 236798, 79315, 9339, 14255, 623, 3255, 236779, 11208, 236779, 3970, 1083, 623, 13422, 827, 623, 6725, 236779, 53343, 1083, 236743, 236770, 236771, 236764, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1694, 529, 9979, 528, 14401, 568, 3255, 22977, 3393, 236787, 30578, 236768, 52236, 573, 822, 5431, 2203, 15523, 236787, 108, 1018, 74211, 528, 14401, 53121, 107, 236770, 236761, 37435, 568, 41626, 236768, 107, 236778, 236761, 14401, 11877, 107, 236800, 236761, 57894, 107, 236812, 236761, 113386, 107, 236810, 236761, 64364, 107, 236825, 236761, 68042, 107, 236832, 236761, 173351, 107, 236828, 236761, 100982, 107, 236819, 236761, 80948, 107, 236770, 236771, 236761, 54437, 9339, 108, 2094, 1694, 5132, 3262, 49880, 4106, 532, 2307, 10969, 16545, 3418, 506, 1883, 236761, 669, 1262, 691, 52236, 1699, 14401, 236789, 236751, 5125, 22977, 236743, 236800, 236770, 236825, 236825, 236772, 236778, 236787, 3118, 1883, 3393, 623, 13422, 3056, 108, 38786, 611, 1133, 786, 531, 2847, 4767, 4889, 1003, 1027, 3530, 3207, 653, 1601, 607, 42442, 15375, 573, 15468, 8616, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 10848, 3075, 496, 15523, 573, 496, 861, 5431, 2203, 3418, 14401, 236764, 532, 564, 1202, 496, 13611, 1694, 529, 784, 9979, 528, 506, 1883, 531, 4187, 3435, 3195, 7088, 236761, 28344, 611, 8091, 872, 506, 9979, 1694, 573, 14401, 1699, 1061, 1883, 22977, 3393, 236881, 564, 5630, 506, 3393, 9857, 607, 496, 756, 236847, 236789, 840, 564, 236858, 236757, 711, 236743, 236770, 236771, 236771, 236908, 2889, 1217, 531, 6518, 625, 573, 506, 5904, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53343, 1083, 11058, 170436, 827, 623, 92012, 11877, 827, 623, 31777, 39134, 827, 623, 236780, 1808, 105497, 827, 623, 26749, 163190, 827, 623, 236814, 39561, 827, 623, 24834, 508, 4099, 827, 623, 8999, 93842, 827, 623, 143872, 36683, 827, 623, 236798, 79315, 9339, 14255, 623, 3255, 236779, 11208, 236779, 3970, 1083, 623, 13422, 827, 623, 6725, 236779, 53343, 1083, 236743, 236770, 236771, 236764, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1694, 529, 9979, 528, 14401, 568, 3255, 22977, 3393, 236787, 30578, 236768, 52236, 573, 822, 5431, 2203, 15523, 236787, 108, 1018, 74211, 528, 14401, 53121, 107, 236770, 236761, 37435, 568, 41626, 236768, 107, 236778, 236761, 14401, 11877, 107, 236800, 236761, 57894, 107, 236812, 236761, 113386, 107, 236810, 236761, 64364, 107, 236825, 236761, 68042, 107, 236832, 236761, 173351, 107, 236828, 236761, 100982, 107, 236819, 236761, 80948, 107, 236770, 236771, 236761, 54437, 9339, 108, 2094, 1694, 5132, 3262, 49880, 4106, 532, 2307, 10969, 16545, 3418, 506, 1883, 236761, 669, 1262, 691, 52236, 1699, 14401, 236789, 236751, 5125, 22977, 236743, 236800, 236770, 236825, 236825, 236772, 236778, 236787, 3118, 1883, 3393, 623, 13422, 3056, 108, 38786, 611, 1133, 786, 531, 2847, 4767, 4889, 1003, 1027, 3530, 3207, 653, 1601, 607, 42442, 15375, 573, 15468, 8616, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 8568, 236772, 68122, 4749, 657, 1041, 3402, 9180, 236761, 5315, 236764, 1586, 784, 8568, 63611, 5158, 528, 7151, 236764, 1299, 12019, 1679, 531, 8701, 506, 3530, 15284, 573, 506, 5054, 14322, 59128, 21637, 2434, 236764, 532, 6861, 33205, 506, 1873, 3409, 10368, 4889, 573, 600, 15284, 531, 2731, 1023, 24099, 7789, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 519, 13975, 1083, 78493, 1201, 1083, 623, 38322, 9654, 56433, 827, 623, 53337, 236779, 2084, 1083, 623, 176579, 827, 623, 13647, 1083, 623, 52247, 827, 623, 19458, 236779, 13308, 1083, 3714, 4002, 236779, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236810, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236800, 236771, 827, 623, 1555, 22313, 236779, 3041, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 574, 11476, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236770, 236772, 236771, 236770, 236775, 5237, 3714, 1201, 1083, 623, 84107, 827, 623, 53337, 236779, 2084, 1083, 623, 203403, 827, 623, 13647, 1083, 623, 52247, 827, 623, 19458, 236779, 13308, 1083, 3714, 4002, 236779, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236812, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236778, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 827, 623, 1555, 22313, 236779, 3041, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236778, 236771, 827, 623, 574, 11476, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236775, 5237, 3714, 1201, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 64775, 827, 623, 13647, 1083, 623, 52247, 827, 623, 19458, 236779, 13308, 1083, 3714, 4002, 236779, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236810, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236771, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236770, 236772, 236770, 236778, 827, 623, 1555, 22313, 236779, 3041, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236770, 236772, 236770, 236828, 827, 623, 574, 11476, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236778, 236772, 236771, 236819, 127096, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8568, 15284, 1938, 7798, 531, 6995, 822, 9180, 4749, 528, 7151, 236787, 108, 1018, 38322, 9654, 56433, 568, 150408, 236768, 753, 5054, 14322, 59128, 1018, 107, 236772, 5213, 49385, 49483, 53121, 5261, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 753, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 107, 236772, 5213, 12104, 22313, 9187, 53121, 6198, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 107, 236772, 5213, 14447, 12142, 17607, 53121, 6243, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 108, 1018, 84460, 91330, 53121, 107, 236770, 236761, 5213, 19402, 6156, 12209, 53121, 23949, 496, 24099, 4598, 580, 5261, 236743, 236778, 236771, 607, 21637, 236772, 68122, 6831, 4852, 107, 236778, 236761, 5213, 3243, 236772, 7032, 26192, 53121, 9620, 496, 5453, 236772, 19458, 18214, 2101, 5505, 236743, 236770, 236810, 236772, 236770, 236825, 568, 150408, 11082, 815, 496, 236743, 236800, 236772, 1496, 2541, 236768, 107, 236800, 236761, 5213, 12104, 2865, 41900, 53121, 8600, 48524, 236772, 15396, 6092, 236786, 17625, 49891, 6250, 6198, 236743, 236810, 107, 236812, 236761, 5213, 1659, 11476, 113542, 53121, 23949, 496, 2455, 24099, 2460, 6243, 236743, 236770, 607, 2299, 36498, 108, 38786, 611, 1133, 3361, 4889, 573, 1032, 8568, 63611, 528, 7151, 568, 84107, 236764, 23532, 236768, 531, 95910, 822, 2460, 6995, 3835, 236881, 106, 107, 105, 2364, 107, 10784, 236764, 564, 236789, 236753, 2765, 531, 11327, 1032, 8568, 63611, 528, 7151, 531, 6778, 1023, 2460, 14626, 236888, 3792, 236789, 236751, 1502, 684, 21558, 506, 27922, 532, 23532, 63611, 5158, 528, 7151, 236764, 1299, 33205, 910, 1873, 3409, 30916, 236761, 1174, 795, 1601, 786, 2731, 18660, 532, 9624, 236772, 68122, 4749, 16195, 21637, 236761, 1701, 1546, 15284, 236787, 236743, 236770, 236761, 64063, 506, 15284, 1463, 532, 7151, 7974, 5418, 236743, 236778, 236761, 4987, 506, 1873, 3409, 1502, 236786, 643, 14069, 236743, 236800, 236761, 49644, 2307, 4749, 568, 1555, 22313, 236764, 63866, 236768, 531, 8913, 607, 9180, 41383, 564, 236858, 236757, 6412, 7467, 528, 1217, 1239, 30916, 28981, 653, 14125, 506, 59128, 236858, 3409, 834, 564, 740, 2619, 496, 1051, 236772, 979, 8568, 2460, 14626, 657, 506, 9180, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 519, 13975, 1083, 78493, 1201, 1083, 623, 52247, 55796, 9654, 827, 623, 53337, 236779, 2084, 1083, 623, 203403, 827, 623, 13647, 1083, 623, 52247, 827, 623, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236810, 236764, 623, 19458, 236779, 13308, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236800, 236771, 827, 623, 35365, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 68925, 1083, 11058, 18939, 13245, 54710, 827, 623, 23243, 14322, 32336, 14255, 623, 6109, 1083, 623, 75243, 36770, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236778, 827, 623, 68925, 1083, 11058, 23243, 20587, 104917, 827, 623, 89354, 36580, 27328, 14255, 623, 6109, 1083, 623, 48496, 236743, 236770, 6022, 236775, 15947, 1807, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 519, 13975, 1083, 78493, 1201, 1083, 623, 52247, 1255, 24458, 9654, 827, 623, 53337, 236779, 2084, 1083, 623, 64775, 827, 623, 13647, 1083, 623, 52247, 827, 623, 19458, 236779, 13308, 1083, 3714, 4002, 236779, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236810, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236770, 236772, 236800, 236771, 827, 623, 2478, 236779, 18582, 1083, 78493, 5106, 236779, 1201, 1083, 623, 19402, 15268, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 23179, 3714, 5106, 236779, 1201, 1083, 623, 3243, 236772, 7032, 129274, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236810, 23179, 3714, 5106, 236779, 1201, 1083, 623, 1659, 11476, 77502, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236770, 236772, 236778, 236828, 236775, 15947, 5237, 3714, 1201, 1083, 623, 23243, 20587, 59988, 24458, 8096, 827, 623, 53337, 236779, 2084, 1083, 623, 64775, 827, 623, 13647, 1083, 623, 52247, 827, 623, 19458, 236779, 13308, 1083, 3714, 4002, 236779, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236810, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2478, 236779, 18582, 1083, 78493, 5106, 236779, 1201, 1083, 623, 13743, 45897, 2865, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 23179, 3714, 5106, 236779, 1201, 1083, 623, 12104, 22313, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236778, 236771, 236775, 15947, 1807, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 21385, 529, 7151, 236789, 236751, 18660, 532, 9624, 63611, 531, 2619, 496, 1051, 236772, 979, 8568, 2460, 14626, 236787, 108, 1018, 84107, 568, 52247, 55796, 9654, 62902, 107, 236772, 5213, 62627, 53121, 7383, 13245, 54710, 236764, 5054, 14322, 32336, 236764, 5054, 20587, 104917, 236764, 56183, 27328, 107, 236772, 5213, 49385, 53121, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 753, 5142, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 107, 236772, 5213, 3503, 15268, 53121, 107, 138, 236772, 5365, 236743, 236770, 236787, 11404, 54710, 7728, 33152, 32336, 568, 75243, 36770, 236768, 107, 138, 236772, 3353, 236743, 236770, 236778, 236787, 5054, 20587, 104917, 7728, 56183, 27328, 568, 48496, 236743, 236770, 6022, 236768, 107, 236772, 5213, 180618, 62503, 53121, 236743, 107, 138, 236772, 9274, 2865, 2016, 236772, 1048, 4749, 528, 5142, 107, 138, 236772, 35881, 236772, 2289, 52705, 2780, 236786, 87973, 80857, 108, 1018, 138522, 568, 52247, 1255, 24458, 9654, 62902, 107, 236772, 5213, 62627, 53121, 34489, 568, 16603, 11404, 43788, 236786, 76682, 616, 236764, 33152, 236743, 236812, 236819, 616, 236764, 5054, 20587, 7974, 236768, 107, 236772, 5213, 49385, 53121, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 753, 6243, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 107, 236772, 5213, 3503, 77151, 53121, 107, 138, 236772, 5261, 236743, 236778, 236771, 236787, 41910, 15268, 107, 138, 236772, 5505, 236743, 236770, 236810, 236787, 2343, 236772, 7032, 129274, 107, 138, 236772, 6243, 236743, 236778, 236828, 236787, 17607, 77502, 108, 1018, 138522, 568, 23243, 20587, 59988, 24458, 8096, 62902, 107, 236772, 5213, 62627, 53121, 5054, 20587, 236772, 5140, 19571, 107, 236772, 5213, 49385, 53121, 5365, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 753, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 107, 236772, 5213, 3503, 77151, 53121, 107, 138, 236772, 5365, 236743, 236810, 236787, 8715, 45897, 2865, 107, 138, 236772, 5857, 236743, 236778, 236771, 236787, 211478, 108, 1018, 49385, 7178, 35680, 13768, 53121, 107, 236770, 236761, 5213, 27393, 236772, 30651, 53121, 7178, 188536, 27922, 833, 23532, 18046, 568, 63914, 573, 5074, 236772, 53337, 41383, 236768, 107, 236778, 236761, 5213, 12055, 236772, 27403, 53121, 27922, 47598, 900, 59128, 21637, 3409, 11519, 107, 236800, 236761, 5213, 36022, 53121, 54353, 531, 23532, 47598, 568, 31675, 236743, 236812, 236819, 616, 236768, 532, 59128, 99763, 107, 236812, 236761, 5213, 36956, 53121, 23532, 21208, 7728, 59128, 4109, 12142, 568, 3663, 72990, 4749, 236768, 108, 1018, 211199, 53121, 236743, 107, 6924, 496, 26644, 10368, 600, 100146, 607, 1239, 9935, 236787, 107, 236772, 5261, 236787, 623, 19402, 6156, 236775, 32250, 4749, 568, 85832, 236786, 62372, 236768, 107, 236772, 5142, 236786, 30211, 236787, 56433, 236772, 53767, 607, 27922, 47207, 4526, 7789, 107, 236772, 5857, 236787, 53575, 3213, 531, 23532, 47598, 900, 59128, 99763, 107, 236772, 6243, 236787, 23949, 21208, 90387, 236751, 1534, 23532, 532, 71836, 108, 38786, 611, 1133, 786, 531, 2619, 3530, 42527, 90353, 653, 6831, 19205, 19240, 531, 1239, 30916, 236881, 106, 107, 105, 2364, 107, 2094, 563, 14853, 236888, 4224, 564, 236858, 236753, 1133, 531, 2619, 3530, 42527, 90353, 532, 6831, 14485, 19240, 531, 1239, 30916, 236761, 3792, 236858, 236751, 2541, 625, 1679, 236787, 236743, 236770, 236761, 5213, 21301, 40246, 9902, 10446, 1018, 753, 1701, 1546, 2307, 2460, 568, 236744, 236761, 236759, 1126, 59128, 41910, 6156, 236764, 27922, 47598, 236764, 23532, 21208, 779, 1702, 496, 236743, 236778, 236772, 14808, 42527, 4771, 607, 236787, 753, 8779, 4009, 24742, 568, 236744, 236761, 236759, 1126, 80629, 12714, 236764, 131782, 1003, 506, 7974, 236768, 753, 799, 236772, 70358, 70295, 532, 5984, 568, 236744, 236761, 236759, 1126, 2434, 7913, 236764, 8568, 143339, 19365, 236768, 753, 10624, 5469, 568, 236744, 236761, 236759, 1126, 53838, 135057, 1913, 4972, 236764, 999, 20786, 886, 974, 886, 236919, 6092, 15663, 236768, 236743, 236778, 236761, 5213, 5403, 140604, 1018, 753, 6521, 8568, 236772, 68122, 19292, 236786, 117956, 573, 1546, 15284, 236787, 753, 5213, 25710, 1639, 568, 176579, 1473, 1018, 999, 9435, 9793, 19888, 585, 2130, 999, 153219, 9964, 236858, 188185, 530, 190503, 236919, 753, 5213, 84107, 568, 203403, 1473, 1018, 999, 109942, 67296, 558, 41345, 2130, 999, 236796, 4984, 41055, 17370, 516, 11780, 236919, 753, 5213, 138522, 568, 64775, 1473, 1018, 999, 25281, 3843, 21263, 1203, 183735, 2130, 999, 95739, 34945, 114141, 236919, 753, 12213, 2523, 236772, 3061, 32250, 28188, 1826, 573, 2299, 1927, 1013, 236743, 236800, 236761, 5213, 157730, 62503, 1018, 753, 1701, 48490, 4749, 568, 236744, 236761, 236759, 1126, 5261, 27922, 236786, 138522, 47229, 779, 3600, 999, 14950, 9274, 236919, 41383, 600, 17794, 1800, 8568, 568, 236744, 236761, 236759, 1126, 999, 9067, 1027, 27922, 236772, 68122, 13415, 900, 974, 496, 2196, 23532, 130398, 31516, 236743, 236812, 236761, 5213, 236794, 3396, 824, 31698, 1018, 753, 1701, 506, 6243, 59128, 7728, 236761, 23532, 21208, 90387, 236764, 2731, 496, 999, 46141, 529, 506, 8036, 236919, 3446, 607, 236787, 753, 562, 59128, 236772, 41889, 6831, 7728, 236761, 614, 23532, 236772, 68122, 6831, 753, 109990, 14996, 573, 122927, 531, 999, 20701, 496, 13961, 236919, 607, 36498, 573, 506, 11806, 2434, 236858, 236751, 7807, 3792, 236858, 236751, 1502, 607, 506, 59128, 236858, 41910, 6156, 580, 5261, 236743, 236778, 236771, 236761, 3199, 611, 12262, 496, 42527, 34315, 532, 6831, 573, 600, 2460, 236881, 4298, 692, 236858, 859, 2016, 506, 1884, 2918, 684, 2918, 236888, 106, 107, 105, 4368, 107, 6481, 236789, 236751, 1502, 607, 496, 9813, 2731, 573, 506, 5213, 23243, 14322, 59128, 41910, 6156, 580, 5261, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 125546, 532, 1299, 2016, 580, 672, 10318, 573, 1032, 4749, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 59128, 41910, 6156, 228571, 89254, 1018, 138, 107, 16907, 236778, 236772, 27962, 28405, 236787, 5261, 236743, 236825, 236964, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 12016, 138, 108, 2595, 5213, 47770, 236743, 236770, 236787, 21107, 69652, 568, 27393, 236743, 236825, 236964, 236770, 236778, 62902, 138, 107, 236772, 5213, 30222, 11701, 66515, 138, 107, 138, 236772, 40440, 496, 623, 131898, 531, 5315, 63754, 236775, 3605, 607, 6376, 131782, 1003, 59128, 4083, 568, 236744, 236761, 236759, 1126, 623, 15562, 611, 1281, 38916, 4556, 8678, 528, 236743, 236778, 236771, 236771, 236771, 236881, 204906, 4248, 138, 107, 138, 236772, 19148, 4977, 236772, 1437, 236772, 85151, 3004, 236787, 623, 3910, 531, 8689, 496, 56433, 236772, 818, 1992, 29223, 236775, 568, 93420, 4866, 236764, 5984, 10884, 769, 138, 107, 138, 236772, 26809, 236787, 623, 15600, 506, 59128, 3345, 506, 51900, 4844, 236881, 78346, 607, 822, 39485, 236888, 236743, 247074, 236775, 138, 107, 236772, 5213, 902, 236772, 90882, 66515, 138, 107, 138, 236772, 36047, 606, 11665, 607, 11167, 236786, 8916, 45892, 236764, 21637, 100068, 59491, 236764, 532, 496, 80629, 11072, 236761, 138, 107, 138, 236772, 46816, 496, 2196, 623, 19049, 236772, 236776, 92426, 236775, 568, 32969, 37189, 236768, 607, 1027, 227214, 7408, 531, 132569, 41910, 6156, 80857, 236761, 138, 108, 2595, 5213, 47770, 236743, 236778, 236787, 168768, 568, 27393, 236743, 236770, 236800, 236964, 236770, 236819, 62902, 138, 107, 236772, 5213, 30222, 11701, 66515, 138, 107, 138, 236772, 623, 8515, 108342, 236775, 12714, 18482, 59128, 8197, 568, 236744, 236761, 236759, 1126, 47495, 58151, 236764, 138685, 15719, 1319, 769, 138, 107, 138, 236772, 74293, 236787, 623, 17399, 496, 81592, 236775, 1271, 23073, 13103, 6549, 573, 496, 59128, 236772, 68122, 6831, 4188, 236793, 13961, 6757, 910, 13415, 16939, 236761, 138, 107, 138, 236772, 18245, 82925, 236787, 623, 236917, 2668, 3097, 41910, 6156, 1271, 18151, 822, 2633, 1492, 9332, 138, 107, 236772, 5213, 902, 236772, 90882, 66515, 138, 107, 138, 236772, 5833, 872, 496, 1265, 236772, 11570, 4429, 36771, 607, 59128, 125032, 236764, 25483, 21367, 236764, 532, 496, 623, 43614, 56019, 236775, 25079, 236761, 138, 107, 138, 236772, 3946, 236772, 5567, 603, 213548, 3772, 236787, 17151, 886, 623, 25710, 1639, 185567, 43828, 70076, 236775, 568, 9503, 74257, 18434, 779, 974, 886, 2196, 236761, 138, 108, 2595, 5213, 47770, 236743, 236800, 236787, 9064, 6156, 568, 27393, 236743, 236778, 236771, 62902, 138, 107, 236772, 5213, 30222, 11701, 66515, 138, 107, 138, 236772, 15097, 236772, 72906, 20756, 236787, 623, 236799, 597, 5359, 1250, 236858, 236751, 25556, 563, 82840, 607, 775, 20564, 236888, 236743, 248979, 247844, 236775, 138, 107, 138, 236772, 128527, 2426, 236772, 1365, 236787, 623, 7118, 496, 10464, 607, 1023, 59128, 5984, 532, 7853, 775, 573, 496, 2196, 31096, 9332, 138, 107, 236772, 5213, 902, 236772, 90882, 66515, 138, 107, 138, 236772, 5213, 151964, 11809, 212373, 66515, 138, 107, 140, 236772, 609, 236810, 623, 28823, 799, 3593, 1083, 236743, 236812, 11528, 55611, 568, 589, 188798, 236764, 41559, 236764, 13840, 236764, 532, 623, 234309, 236775, 16510, 769, 138, 107, 140, 236772, 609, 236832, 623, 39977, 83671, 140128, 1083, 148044, 528, 496, 21637, 236772, 24850, 4896, 607, 11167, 236786, 8916, 9792, 23456, 236761, 138, 107, 138, 236772, 9274, 623, 13751, 3060, 5641, 531, 506, 14627, 5567, 236775, 1913, 506, 236743, 236832, 594, 236772, 160722, 10161, 532, 1526, 855, 2196, 28708, 51487, 236761, 138, 108, 2595, 5213, 47770, 236743, 236812, 236787, 6531, 236772, 8802, 22177, 236772, 4674, 568, 27393, 236743, 236778, 236770, 236964, 236778, 236778, 62902, 138, 107, 236772, 5213, 30222, 11701, 66515, 138, 107, 138, 236772, 19148, 5602, 6704, 607, 997, 25710, 1639, 3834, 7711, 24698, 236761, 138, 107, 138, 236772, 6531, 236772, 5567, 57862, 236787, 623, 1882, 5524, 496, 149817, 607, 236743, 236778, 236771, 236771, 236862, 122927, 1774, 3446, 236888, 219153, 236775, 138, 107, 236772, 5213, 902, 236772, 90882, 66515, 138, 107, 138, 236772, 46816, 496, 623, 8802, 236743, 236778, 10624, 1083, 21721, 822, 5261, 236743, 236778, 236771, 19971, 573, 236743, 236770, 236771, 236908, 1135, 580, 506, 2148, 59128, 2033, 2290, 3446, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 59128, 236772, 818, 1992, 17424, 573, 5261, 236743, 236778, 236771, 1018, 138, 107, 1018, 3484, 34504, 66515, 23770, 532, 2764, 168611, 236793, 21637, 236772, 3069, 3059, 146207, 236761, 138, 108, 2595, 5213, 2046, 536, 19804, 1018, 138, 107, 236772, 5213, 236775, 9435, 9793, 19888, 585, 236775, 1018, 138, 107, 138, 204601, 5553, 22259, 53091, 607, 22300, 20411, 13840, 236764, 47715, 12480, 236764, 2764, 21556, 236764, 532, 623, 34583, 26567, 177208, 236775, 568, 9942, 236772, 178611, 30336, 900, 3235, 508, 2304, 769, 148044, 528, 496, 21637, 33119, 236772, 24850, 13392, 236761, 138, 107, 138, 1018, 11280, 66515, 609, 236770, 236812, 138, 108, 236772, 5213, 236775, 153219, 9964, 236858, 188185, 530, 190503, 236775, 1018, 138, 107, 138, 69018, 29169, 72112, 528, 47442, 236772, 89325, 236764, 7779, 607, 14403, 623, 780, 236759, 725, 236775, 16510, 236761, 138, 107, 138, 1018, 11280, 66515, 609, 236819, 138, 108, 2595, 5213, 4724, 8076, 1018, 138, 107, 236772, 5213, 236775, 39977, 83671, 50931, 236775, 1018, 138, 107, 138, 14950, 236772, 9607, 21580, 190515, 607, 143965, 236764, 41559, 236764, 47715, 40641, 236764, 532, 623, 7306, 236772, 8063, 83407, 236775, 568, 4671, 232371, 56179, 900, 503, 18709, 30763, 769, 138, 107, 138, 1018, 11280, 66515, 609, 236770, 236828, 138, 108, 236772, 5213, 236775, 236796, 1112, 725, 77509, 1973, 2737, 236775, 1018, 46260, 23301, 236772, 5771, 12016, 138, 107, 138, 236770, 236771, 42949, 558, 16497, 900, 236743, 236778, 623, 9435, 9793, 19888, 236748, 236775, 76366, 900, 236743, 236770, 236798, 35237, 236761, 138, 107, 138, 1018, 11280, 66515, 609, 236812, 236810, 138, 108, 2595, 5213, 95804, 1018, 138, 107, 236772, 5213, 236775, 28902, 25145, 1013, 140128, 236775, 1018, 138, 107, 138, 236774, 2750, 5657, 236764, 22178, 4416, 236764, 26677, 236764, 532, 623, 59057, 17415, 75445, 236775, 6921, 568, 47328, 11167, 900, 82455, 769, 138, 107, 138, 1018, 11280, 66515, 609, 236770, 236778, 138, 108, 236772, 5213, 236775, 91782, 1034, 236762, 71456, 2111, 1499, 236775, 1018, 138, 107, 138, 109620, 236764, 31255, 236764, 49884, 236764, 532, 3730, 65479, 147148, 568, 1071, 11976, 506, 59128, 236858, 72452, 1927, 769, 138, 107, 138, 1018, 11280, 66515, 609, 236770, 236771, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 7178, 35680, 56802, 236787, 623, 14950, 9274, 236775, 63326, 568, 27393, 236743, 236770, 236810, 236964, 236778, 236771, 62902, 138, 107, 1018, 68793, 59128, 41910, 6156, 607, 7151, 55796, 9654, 568, 27393, 236743, 236770, 236810, 1502, 236768, 532, 7151, 1255, 24458, 9654, 568, 27393, 236743, 236778, 236771, 1502, 1473, 1018, 138, 107, 236772, 5213, 134478, 66515, 623, 9067, 1027, 59128, 236772, 68122, 13415, 900, 974, 496, 2196, 27922, 808, 504, 236829, 23532, 130398, 9332, 138, 107, 138, 236772, 14691, 236787, 17151, 623, 9435, 9793, 19888, 585, 236775, 900, 974, 496, 2196, 623, 109942, 67296, 120442, 236775, 568, 84107, 236768, 653, 623, 95739, 34945, 114141, 236775, 568, 138522, 769, 138, 107, 236772, 5213, 59292, 66515, 29785, 11167, 236786, 8916, 568, 25710, 1639, 236768, 607, 27922, 2434, 7913, 568, 236744, 236761, 236759, 1126, 67642, 5122, 236786, 38852, 236768, 532, 23532, 5122, 568, 236812, 236819, 616, 769, 138, 107, 236772, 5213, 30222, 11701, 66515, 623, 19765, 8568, 236764, 886, 28744, 3446, 236888, 236743, 248207, 249397, 247844, 15311, 2434, 795, 36577, 506, 41047, 7462, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 12067, 50228, 1018, 138, 107, 236772, 5213, 30651, 236743, 236770, 66515, 24156, 855, 506, 5213, 52247, 55796, 9654, 623, 40855, 236772, 8565, 10624, 236775, 1018, 568, 75243, 36770, 2290, 769, 138, 107, 236772, 5213, 36022, 236743, 236778, 236771, 66515, 40440, 5213, 236775, 12104, 2865, 6203, 5008, 2275, 236775, 1018, 568, 108575, 59128, 99763, 900, 15336, 59988, 24458, 47598, 769, 138, 107, 236772, 5213, 36956, 236743, 236770, 66515, 9620, 5213, 236775, 46141, 529, 506, 8036, 236775, 1018, 607, 496, 59128, 7728, 236761, 236743, 236812, 236819, 616, 72990, 6831, 568, 236744, 236761, 236759, 1126, 623, 14447, 12142, 19888, 585, 236775, 7728, 236761, 623, 1659, 11476, 102858, 4248, 138, 108, 38786, 611, 1133, 786, 531, 12262, 506, 5213, 84107, 42272, 236772, 8565, 10624, 1018, 6831, 532, 34315, 2148, 236764, 653, 3213, 580, 506, 5213, 36956, 72990, 2460, 1018, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 4102, 607, 506, 5213, 84107, 42272, 236772, 8565, 10624, 580, 5365, 236743, 236770, 1018, 2148, 236888, 564, 1461, 531, 14701, 506, 59128, 236858, 42527, 3904, 840, 607, 18660, 83426, 236761, 5715, 236858, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5213, 21301, 40246, 89254, 1018, 753, 26192, 625, 1131, 19401, 1133, 506, 59128, 236858, 2731, 568, 39403, 69652, 236764, 168768, 236764, 9064, 6156, 236764, 6531, 236772, 8802, 769, 753, 12213, 2777, 4009, 6549, 568, 236744, 236761, 236759, 1126, 623, 60059, 506, 27242, 236775, 64217, 236764, 4155, 8357, 79732, 769, 753, 799, 236772, 70358, 5085, 568, 236744, 236761, 236759, 1126, 496, 11528, 59244, 14779, 573, 2196, 61222, 236764, 2434, 236772, 68122, 5984, 769, 236743, 236778, 236761, 5213, 5403, 140604, 1018, 753, 8689, 580, 506, 623, 109942, 67296, 558, 41345, 236775, 532, 623, 236796, 4984, 41055, 17370, 516, 11780, 236775, 6549, 236761, 753, 4140, 2523, 236772, 3061, 28188, 1826, 573, 2299, 1927, 1013, 568, 236744, 236761, 236759, 1126, 623, 66793, 236772, 22373, 108126, 236787, 236743, 236770, 236771, 82142, 900, 236743, 236778, 12197, 516, 11780, 573, 609, 236810, 236771, 4248, 753, 12213, 496, 31096, 19240, 531, 506, 2290, 568, 236744, 236761, 236759, 1126, 623, 236773, 6030, 78160, 7214, 7393, 236775, 607, 11167, 236786, 8916, 105785, 769, 236743, 236800, 236761, 5213, 157730, 62503, 1018, 753, 669, 27922, 3409, 9857, 5261, 236743, 236770, 236810, 236764, 48490, 607, 506, 59128, 236858, 41910, 6156, 580, 5261, 236743, 236778, 236771, 236761, 59336, 496, 623, 14950, 9274, 236775, 18214, 573, 672, 2846, 568, 236744, 236761, 236759, 1126, 623, 9067, 496, 59128, 13415, 900, 974, 236743, 236778, 236771, 236908, 1135, 27922, 6831, 4852, 4248, 236743, 236812, 236761, 5213, 236794, 3396, 824, 59303, 1018, 753, 669, 5365, 236743, 236770, 2290, 563, 5213, 11319, 54710, 7728, 236761, 33152, 32336, 84750, 4140, 496, 60902, 72990, 3408, 568, 236744, 236761, 236759, 1126, 623, 11319, 7807, 974, 2196, 53625, 236764, 33152, 7807, 974, 2196, 1533, 552, 236775, 2721, 580, 2434, 125032, 769, 9920, 672, 563, 3028, 236764, 1531, 236858, 236751, 25044, 506, 5213, 36956, 623, 46141, 529, 506, 8036, 236775, 72990, 3446, 1018, 531, 20151, 872, 506, 14626, 236888, 106, 107, 105, 4368, 107, 6481, 236858, 236751, 2541, 1679, 506, 5213, 84107, 42272, 236772, 8565, 10624, 1018, 573, 5213, 30651, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 1018, 568, 11319, 54710, 7728, 236761, 33152, 32336, 657, 38916, 36770, 236768, 532, 1299, 18161, 506, 5213, 236775, 46141, 529, 506, 8036, 236775, 1018, 31488, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 27922, 42272, 236772, 8565, 10624, 228571, 89254, 1018, 138, 107, 16907, 236778, 236772, 27962, 28405, 236787, 5261, 236743, 236778, 236770, 236964, 30651, 236743, 236770, 12016, 138, 108, 2595, 5213, 47770, 236743, 236770, 236787, 21107, 69652, 568, 27393, 236743, 236778, 236770, 236964, 236778, 236832, 62902, 138, 107, 236772, 5213, 30222, 11701, 66515, 138, 107, 138, 236772, 40440, 496, 623, 131898, 531, 42272, 236772, 8565, 236775, 3605, 607, 2317, 10797, 568, 236744, 236761, 236759, 1126, 623, 15562, 611, 1281, 46445, 59095, 815, 236743, 236832, 27922, 236743, 236800, 236772, 3947, 8735, 236881, 236743, 248207, 4248, 138, 107, 138, 236772, 26809, 236787, 623, 24249, 2434, 795, 3345, 236881, 78346, 573, 11404, 653, 33152, 532, 974, 496, 2196, 31096, 768, 822, 2434, 18779, 9332, 138, 107, 138, 236772, 19148, 4155, 8357, 79732, 568, 236744, 236761, 236759, 1126, 623, 19242, 104482, 236858, 236751, 1903, 236743, 236770, 236771, 513, 26909, 529, 236743, 236778, 236771, 236778, 236810, 4248, 138, 107, 236772, 5213, 902, 236772, 90882, 66515, 138, 107, 138, 236772, 36047, 606, 607, 2434, 7913, 236787, 46222, 236786, 22278, 568, 11319, 236768, 7728, 236761, 9595, 236786, 51512, 568, 31675, 32336, 769 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8568, 236772, 68122, 4749, 657, 1041, 3402, 9180, 236761, 5315, 236764, 1586, 784, 8568, 63611, 5158, 528, 7151, 236764, 1299, 12019, 1679, 531, 8701, 506, 3530, 15284, 573, 506, 5054, 14322, 59128, 21637, 2434, 236764, 532, 6861, 33205, 506, 1873, 3409, 10368, 4889, 573, 600, 15284, 531, 2731, 1023, 24099, 7789, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 519, 13975, 1083, 78493, 1201, 1083, 623, 38322, 9654, 56433, 827, 623, 53337, 236779, 2084, 1083, 623, 176579, 827, 623, 13647, 1083, 623, 52247, 827, 623, 19458, 236779, 13308, 1083, 3714, 4002, 236779, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236810, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236800, 236771, 827, 623, 1555, 22313, 236779, 3041, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 574, 11476, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236770, 236772, 236771, 236770, 236775, 5237, 3714, 1201, 1083, 623, 84107, 827, 623, 53337, 236779, 2084, 1083, 623, 203403, 827, 623, 13647, 1083, 623, 52247, 827, 623, 19458, 236779, 13308, 1083, 3714, 4002, 236779, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236812, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236778, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 827, 623, 1555, 22313, 236779, 3041, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236778, 236771, 827, 623, 574, 11476, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236775, 5237, 3714, 1201, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 64775, 827, 623, 13647, 1083, 623, 52247, 827, 623, 19458, 236779, 13308, 1083, 3714, 4002, 236779, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236810, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236771, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236770, 236772, 236770, 236778, 827, 623, 1555, 22313, 236779, 3041, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236770, 236772, 236770, 236828, 827, 623, 574, 11476, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236778, 236772, 236771, 236819, 127096, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8568, 15284, 1938, 7798, 531, 6995, 822, 9180, 4749, 528, 7151, 236787, 108, 1018, 38322, 9654, 56433, 568, 150408, 236768, 753, 5054, 14322, 59128, 1018, 107, 236772, 5213, 49385, 49483, 53121, 5261, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 753, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 107, 236772, 5213, 12104, 22313, 9187, 53121, 6198, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 107, 236772, 5213, 14447, 12142, 17607, 53121, 6243, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 108, 1018, 84460, 91330, 53121, 107, 236770, 236761, 5213, 19402, 6156, 12209, 53121, 23949, 496, 24099, 4598, 580, 5261, 236743, 236778, 236771, 607, 21637, 236772, 68122, 6831, 4852, 107, 236778, 236761, 5213, 3243, 236772, 7032, 26192, 53121, 9620, 496, 5453, 236772, 19458, 18214, 2101, 5505, 236743, 236770, 236810, 236772, 236770, 236825, 568, 150408, 11082, 815, 496, 236743, 236800, 236772, 1496, 2541, 236768, 107, 236800, 236761, 5213, 12104, 2865, 41900, 53121, 8600, 48524, 236772, 15396, 6092, 236786, 17625, 49891, 6250, 6198, 236743, 236810, 107, 236812, 236761, 5213, 1659, 11476, 113542, 53121, 23949, 496, 2455, 24099, 2460, 6243, 236743, 236770, 607, 2299, 36498, 108, 38786, 611, 1133, 3361, 4889, 573, 1032, 8568, 63611, 528, 7151, 568, 84107, 236764, 23532, 236768, 531, 95910, 822, 2460, 6995, 3835, 236881, 106, 107, 105, 2364, 107, 10784, 236764, 564, 236789, 236753, 2765, 531, 11327, 1032, 8568, 63611, 528, 7151, 531, 6778, 1023, 2460, 14626, 236888, 3792, 236789, 236751, 1502, 684, 21558, 506, 27922, 532, 23532, 63611, 5158, 528, 7151, 236764, 1299, 33205, 910, 1873, 3409, 30916, 236761, 1174, 795, 1601, 786, 2731, 18660, 532, 9624, 236772, 68122, 4749, 16195, 21637, 236761, 1701, 1546, 15284, 236787, 236743, 236770, 236761, 64063, 506, 15284, 1463, 532, 7151, 7974, 5418, 236743, 236778, 236761, 4987, 506, 1873, 3409, 1502, 236786, 643, 14069, 236743, 236800, 236761, 49644, 2307, 4749, 568, 1555, 22313, 236764, 63866, 236768, 531, 8913, 607, 9180, 41383, 564, 236858, 236757, 6412, 7467, 528, 1217, 1239, 30916, 28981, 653, 14125, 506, 59128, 236858, 3409, 834, 564, 740, 2619, 496, 1051, 236772, 979, 8568, 2460, 14626, 657, 506, 9180, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 519, 13975, 1083, 78493, 1201, 1083, 623, 52247, 55796, 9654, 827, 623, 53337, 236779, 2084, 1083, 623, 203403, 827, 623, 13647, 1083, 623, 52247, 827, 623, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236810, 236764, 623, 19458, 236779, 13308, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236800, 236771, 827, 623, 35365, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 68925, 1083, 11058, 18939, 13245, 54710, 827, 623, 23243, 14322, 32336, 14255, 623, 6109, 1083, 623, 75243, 36770, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236778, 827, 623, 68925, 1083, 11058, 23243, 20587, 104917, 827, 623, 89354, 36580, 27328, 14255, 623, 6109, 1083, 623, 48496, 236743, 236770, 6022, 236775, 15947, 1807, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 519, 13975, 1083, 78493, 1201, 1083, 623, 52247, 1255, 24458, 9654, 827, 623, 53337, 236779, 2084, 1083, 623, 64775, 827, 623, 13647, 1083, 623, 52247, 827, 623, 19458, 236779, 13308, 1083, 3714, 4002, 236779, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236810, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236770, 236772, 236800, 236771, 827, 623, 2478, 236779, 18582, 1083, 78493, 5106, 236779, 1201, 1083, 623, 19402, 15268, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 23179, 3714, 5106, 236779, 1201, 1083, 623, 3243, 236772, 7032, 129274, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236810, 23179, 3714, 5106, 236779, 1201, 1083, 623, 1659, 11476, 77502, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236770, 236772, 236778, 236828, 236775, 15947, 5237, 3714, 1201, 1083, 623, 23243, 20587, 59988, 24458, 8096, 827, 623, 53337, 236779, 2084, 1083, 623, 64775, 827, 623, 13647, 1083, 623, 52247, 827, 623, 19458, 236779, 13308, 1083, 3714, 4002, 236779, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236810, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2478, 236779, 18582, 1083, 78493, 5106, 236779, 1201, 1083, 623, 13743, 45897, 2865, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 23179, 3714, 5106, 236779, 1201, 1083, 623, 12104, 22313, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236778, 236771, 236775, 15947, 1807, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 21385, 529, 7151, 236789, 236751, 18660, 532, 9624, 63611, 531, 2619, 496, 1051, 236772, 979, 8568, 2460, 14626, 236787, 108, 1018, 84107, 568, 52247, 55796, 9654, 62902, 107, 236772, 5213, 62627, 53121, 7383, 13245, 54710, 236764, 5054, 14322, 32336, 236764, 5054, 20587, 104917, 236764, 56183, 27328, 107, 236772, 5213, 49385, 53121, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 753, 5142, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 107, 236772, 5213, 3503, 15268, 53121, 107, 138, 236772, 5365, 236743, 236770, 236787, 11404, 54710, 7728, 33152, 32336, 568, 75243, 36770, 236768, 107, 138, 236772, 3353, 236743, 236770, 236778, 236787, 5054, 20587, 104917, 7728, 56183, 27328, 568, 48496, 236743, 236770, 6022, 236768, 107, 236772, 5213, 180618, 62503, 53121, 236743, 107, 138, 236772, 9274, 2865, 2016, 236772, 1048, 4749, 528, 5142, 107, 138, 236772, 35881, 236772, 2289, 52705, 2780, 236786, 87973, 80857, 108, 1018, 138522, 568, 52247, 1255, 24458, 9654, 62902, 107, 236772, 5213, 62627, 53121, 34489, 568, 16603, 11404, 43788, 236786, 76682, 616, 236764, 33152, 236743, 236812, 236819, 616, 236764, 5054, 20587, 7974, 236768, 107, 236772, 5213, 49385, 53121, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 753, 6243, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 107, 236772, 5213, 3503, 77151, 53121, 107, 138, 236772, 5261, 236743, 236778, 236771, 236787, 41910, 15268, 107, 138, 236772, 5505, 236743, 236770, 236810, 236787, 2343, 236772, 7032, 129274, 107, 138, 236772, 6243, 236743, 236778, 236828, 236787, 17607, 77502, 108, 1018, 138522, 568, 23243, 20587, 59988, 24458, 8096, 62902, 107, 236772, 5213, 62627, 53121, 5054, 20587, 236772, 5140, 19571, 107, 236772, 5213, 49385, 53121, 5365, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 753, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 107, 236772, 5213, 3503, 77151, 53121, 107, 138, 236772, 5365, 236743, 236810, 236787, 8715, 45897, 2865, 107, 138, 236772, 5857, 236743, 236778, 236771, 236787, 211478, 108, 1018, 49385, 7178, 35680, 13768, 53121, 107, 236770, 236761, 5213, 27393, 236772, 30651, 53121, 7178, 188536, 27922, 833, 23532, 18046, 568, 63914, 573, 5074, 236772, 53337, 41383, 236768, 107, 236778, 236761, 5213, 12055, 236772, 27403, 53121, 27922, 47598, 900, 59128, 21637, 3409, 11519, 107, 236800, 236761, 5213, 36022, 53121, 54353, 531, 23532, 47598, 568, 31675, 236743, 236812, 236819, 616, 236768, 532, 59128, 99763, 107, 236812, 236761, 5213, 36956, 53121, 23532, 21208, 7728, 59128, 4109, 12142, 568, 3663, 72990, 4749, 236768, 108, 1018, 211199, 53121, 236743, 107, 6924, 496, 26644, 10368, 600, 100146, 607, 1239, 9935, 236787, 107, 236772, 5261, 236787, 623, 19402, 6156, 236775, 32250, 4749, 568, 85832, 236786, 62372, 236768, 107, 236772, 5142, 236786, 30211, 236787, 56433, 236772, 53767, 607, 27922, 47207, 4526, 7789, 107, 236772, 5857, 236787, 53575, 3213, 531, 23532, 47598, 900, 59128, 99763, 107, 236772, 6243, 236787, 23949, 21208, 90387, 236751, 1534, 23532, 532, 71836, 108, 38786, 611, 1133, 786, 531, 2619, 3530, 42527, 90353, 653, 6831, 19205, 19240, 531, 1239, 30916, 236881, 106, 107, 105, 2364, 107, 2094, 563, 14853, 236888, 4224, 564, 236858, 236753, 1133, 531, 2619, 3530, 42527, 90353, 532, 6831, 14485, 19240, 531, 1239, 30916, 236761, 3792, 236858, 236751, 2541, 625, 1679, 236787, 236743, 236770, 236761, 5213, 21301, 40246, 9902, 10446, 1018, 753, 1701, 1546, 2307, 2460, 568, 236744, 236761, 236759, 1126, 59128, 41910, 6156, 236764, 27922, 47598, 236764, 23532, 21208, 779, 1702, 496, 236743, 236778, 236772, 14808, 42527, 4771, 607, 236787, 753, 8779, 4009, 24742, 568, 236744, 236761, 236759, 1126, 80629, 12714, 236764, 131782, 1003, 506, 7974, 236768, 753, 799, 236772, 70358, 70295, 532, 5984, 568, 236744, 236761, 236759, 1126, 2434, 7913, 236764, 8568, 143339, 19365, 236768, 753, 10624, 5469, 568, 236744, 236761, 236759, 1126, 53838, 135057, 1913, 4972, 236764, 999, 20786, 886, 974, 886, 236919, 6092, 15663, 236768, 236743, 236778, 236761, 5213, 5403, 140604, 1018, 753, 6521, 8568, 236772, 68122, 19292, 236786, 117956, 573, 1546, 15284, 236787, 753, 5213, 25710, 1639, 568, 176579, 1473, 1018, 999, 9435, 9793, 19888, 585, 2130, 999, 153219, 9964, 236858, 188185, 530, 190503, 236919, 753, 5213, 84107, 568, 203403, 1473, 1018, 999, 109942, 67296, 558, 41345, 2130, 999, 236796, 4984, 41055, 17370, 516, 11780, 236919, 753, 5213, 138522, 568, 64775, 1473, 1018, 999, 25281, 3843, 21263, 1203, 183735, 2130, 999, 95739, 34945, 114141, 236919, 753, 12213, 2523, 236772, 3061, 32250, 28188, 1826, 573, 2299, 1927, 1013, 236743, 236800, 236761, 5213, 157730, 62503, 1018, 753, 1701, 48490, 4749, 568, 236744, 236761, 236759, 1126, 5261, 27922, 236786, 138522, 47229, 779, 3600, 999, 14950, 9274, 236919, 41383, 600, 17794, 1800, 8568, 568, 236744, 236761, 236759, 1126, 999, 9067, 1027, 27922, 236772, 68122, 13415, 900, 974, 496, 2196, 23532, 130398, 31516, 236743, 236812, 236761, 5213, 236794, 3396, 824, 31698, 1018, 753, 1701, 506, 6243, 59128, 7728, 236761, 23532, 21208, 90387, 236764, 2731, 496, 999, 46141, 529, 506, 8036, 236919, 3446, 607, 236787, 753, 562, 59128, 236772, 41889, 6831, 7728, 236761, 614, 23532, 236772, 68122, 6831, 753, 109990, 14996, 573, 122927, 531, 999, 20701, 496, 13961, 236919, 607, 36498, 573, 506, 11806, 2434, 236858, 236751, 7807, 3792, 236858, 236751, 1502, 607, 506, 59128, 236858, 41910, 6156, 580, 5261, 236743, 236778, 236771, 236761, 3199, 611, 12262, 496, 42527, 34315, 532, 6831, 573, 600, 2460, 236881, 4298, 692, 236858, 859, 2016, 506, 1884, 2918, 684, 2918, 236888, 106, 107, 105, 4368, 107, 6481, 236789, 236751, 1502, 607, 496, 9813, 2731, 573, 506, 5213, 23243, 14322, 59128, 41910, 6156, 580, 5261, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 125546, 532, 1299, 2016, 580, 672, 10318, 573, 1032, 4749, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 59128, 41910, 6156, 228571, 89254, 1018, 138, 107, 16907, 236778, 236772, 27962, 28405, 236787, 5261, 236743, 236825, 236964, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 12016, 138, 108, 2595, 5213, 47770, 236743, 236770, 236787, 21107, 69652, 568, 27393, 236743, 236825, 236964, 236770, 236778, 62902, 138, 107, 236772, 5213, 30222, 11701, 66515, 138, 107, 138, 236772, 40440, 496, 623, 131898, 531, 5315, 63754, 236775, 3605, 607, 6376, 131782, 1003, 59128, 4083, 568, 236744, 236761, 236759, 1126, 623, 15562, 611, 1281, 38916, 4556, 8678, 528, 236743, 236778, 236771, 236771, 236771, 236881, 204906, 4248, 138, 107, 138, 236772, 19148, 4977, 236772, 1437, 236772, 85151, 3004, 236787, 623, 3910, 531, 8689, 496, 56433, 236772, 818, 1992, 29223, 236775, 568, 93420, 4866, 236764, 5984, 10884, 769, 138, 107, 138, 236772, 26809, 236787, 623, 15600, 506, 59128, 3345, 506, 51900, 4844, 236881, 78346, 607, 822, 39485, 236888, 236743, 247074, 236775, 138, 107, 236772, 5213, 902, 236772, 90882, 66515, 138, 107, 138, 236772, 36047, 606, 11665, 607, 11167, 236786, 8916, 45892, 236764, 21637, 100068, 59491, 236764, 532, 496, 80629, 11072, 236761, 138, 107, 138, 236772, 46816, 496, 2196, 623, 19049, 236772, 236776, 92426, 236775, 568, 32969, 37189, 236768, 607, 1027, 227214, 7408, 531, 132569, 41910, 6156, 80857, 236761, 138, 108, 2595, 5213, 47770, 236743, 236778, 236787, 168768, 568, 27393, 236743, 236770, 236800, 236964, 236770, 236819, 62902, 138, 107, 236772, 5213, 30222, 11701, 66515, 138, 107, 138, 236772, 623, 8515, 108342, 236775, 12714, 18482, 59128, 8197, 568, 236744, 236761, 236759, 1126, 47495, 58151, 236764, 138685, 15719, 1319, 769, 138, 107, 138, 236772, 74293, 236787, 623, 17399, 496, 81592, 236775, 1271, 23073, 13103, 6549, 573, 496, 59128, 236772, 68122, 6831, 4188, 236793, 13961, 6757, 910, 13415, 16939, 236761, 138, 107, 138, 236772, 18245, 82925, 236787, 623, 236917, 2668, 3097, 41910, 6156, 1271, 18151, 822, 2633, 1492, 9332, 138, 107, 236772, 5213, 902, 236772, 90882, 66515, 138, 107, 138, 236772, 5833, 872, 496, 1265, 236772, 11570, 4429, 36771, 607, 59128, 125032, 236764, 25483, 21367, 236764, 532, 496, 623, 43614, 56019, 236775, 25079, 236761, 138, 107, 138, 236772, 3946, 236772, 5567, 603, 213548, 3772, 236787, 17151, 886, 623, 25710, 1639, 185567, 43828, 70076, 236775, 568, 9503, 74257, 18434, 779, 974, 886, 2196, 236761, 138, 108, 2595, 5213, 47770, 236743, 236800, 236787, 9064, 6156, 568, 27393, 236743, 236778, 236771, 62902, 138, 107, 236772, 5213, 30222, 11701, 66515, 138, 107, 138, 236772, 15097, 236772, 72906, 20756, 236787, 623, 236799, 597, 5359, 1250, 236858, 236751, 25556, 563, 82840, 607, 775, 20564, 236888, 236743, 248979, 247844, 236775, 138, 107, 138, 236772, 128527, 2426, 236772, 1365, 236787, 623, 7118, 496, 10464, 607, 1023, 59128, 5984, 532, 7853, 775, 573, 496, 2196, 31096, 9332, 138, 107, 236772, 5213, 902, 236772, 90882, 66515, 138, 107, 138, 236772, 5213, 151964, 11809, 212373, 66515, 138, 107, 140, 236772, 609, 236810, 623, 28823, 799, 3593, 1083, 236743, 236812, 11528, 55611, 568, 589, 188798, 236764, 41559, 236764, 13840, 236764, 532, 623, 234309, 236775, 16510, 769, 138, 107, 140, 236772, 609, 236832, 623, 39977, 83671, 140128, 1083, 148044, 528, 496, 21637, 236772, 24850, 4896, 607, 11167, 236786, 8916, 9792, 23456, 236761, 138, 107, 138, 236772, 9274, 623, 13751, 3060, 5641, 531, 506, 14627, 5567, 236775, 1913, 506, 236743, 236832, 594, 236772, 160722, 10161, 532, 1526, 855, 2196, 28708, 51487, 236761, 138, 108, 2595, 5213, 47770, 236743, 236812, 236787, 6531, 236772, 8802, 22177, 236772, 4674, 568, 27393, 236743, 236778, 236770, 236964, 236778, 236778, 62902, 138, 107, 236772, 5213, 30222, 11701, 66515, 138, 107, 138, 236772, 19148, 5602, 6704, 607, 997, 25710, 1639, 3834, 7711, 24698, 236761, 138, 107, 138, 236772, 6531, 236772, 5567, 57862, 236787, 623, 1882, 5524, 496, 149817, 607, 236743, 236778, 236771, 236771, 236862, 122927, 1774, 3446, 236888, 219153, 236775, 138, 107, 236772, 5213, 902, 236772, 90882, 66515, 138, 107, 138, 236772, 46816, 496, 623, 8802, 236743, 236778, 10624, 1083, 21721, 822, 5261, 236743, 236778, 236771, 19971, 573, 236743, 236770, 236771, 236908, 1135, 580, 506, 2148, 59128, 2033, 2290, 3446, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 59128, 236772, 818, 1992, 17424, 573, 5261, 236743, 236778, 236771, 1018, 138, 107, 1018, 3484, 34504, 66515, 23770, 532, 2764, 168611, 236793, 21637, 236772, 3069, 3059, 146207, 236761, 138, 108, 2595, 5213, 2046, 536, 19804, 1018, 138, 107, 236772, 5213, 236775, 9435, 9793, 19888, 585, 236775, 1018, 138, 107, 138, 204601, 5553, 22259, 53091, 607, 22300, 20411, 13840, 236764, 47715, 12480, 236764, 2764, 21556, 236764, 532, 623, 34583, 26567, 177208, 236775, 568, 9942, 236772, 178611, 30336, 900, 3235, 508, 2304, 769, 148044, 528, 496, 21637, 33119, 236772, 24850, 13392, 236761, 138, 107, 138, 1018, 11280, 66515, 609, 236770, 236812, 138, 108, 236772, 5213, 236775, 153219, 9964, 236858, 188185, 530, 190503, 236775, 1018, 138, 107, 138, 69018, 29169, 72112, 528, 47442, 236772, 89325, 236764, 7779, 607, 14403, 623, 780, 236759, 725, 236775, 16510, 236761, 138, 107, 138, 1018, 11280, 66515, 609, 236819, 138, 108, 2595, 5213, 4724, 8076, 1018, 138, 107, 236772, 5213, 236775, 39977, 83671, 50931, 236775, 1018, 138, 107, 138, 14950, 236772, 9607, 21580, 190515, 607, 143965, 236764, 41559, 236764, 47715, 40641, 236764, 532, 623, 7306, 236772, 8063, 83407, 236775, 568, 4671, 232371, 56179, 900, 503, 18709, 30763, 769, 138, 107, 138, 1018, 11280, 66515, 609, 236770, 236828, 138, 108, 236772, 5213, 236775, 236796, 1112, 725, 77509, 1973, 2737, 236775, 1018, 46260, 23301, 236772, 5771, 12016, 138, 107, 138, 236770, 236771, 42949, 558, 16497, 900, 236743, 236778, 623, 9435, 9793, 19888, 236748, 236775, 76366, 900, 236743, 236770, 236798, 35237, 236761, 138, 107, 138, 1018, 11280, 66515, 609, 236812, 236810, 138, 108, 2595, 5213, 95804, 1018, 138, 107, 236772, 5213, 236775, 28902, 25145, 1013, 140128, 236775, 1018, 138, 107, 138, 236774, 2750, 5657, 236764, 22178, 4416, 236764, 26677, 236764, 532, 623, 59057, 17415, 75445, 236775, 6921, 568, 47328, 11167, 900, 82455, 769, 138, 107, 138, 1018, 11280, 66515, 609, 236770, 236778, 138, 108, 236772, 5213, 236775, 91782, 1034, 236762, 71456, 2111, 1499, 236775, 1018, 138, 107, 138, 109620, 236764, 31255, 236764, 49884, 236764, 532, 3730, 65479, 147148, 568, 1071, 11976, 506, 59128, 236858, 72452, 1927, 769, 138, 107, 138, 1018, 11280, 66515, 609, 236770, 236771, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 7178, 35680, 56802, 236787, 623, 14950, 9274, 236775, 63326, 568, 27393, 236743, 236770, 236810, 236964, 236778, 236771, 62902, 138, 107, 1018, 68793, 59128, 41910, 6156, 607, 7151, 55796, 9654, 568, 27393, 236743, 236770, 236810, 1502, 236768, 532, 7151, 1255, 24458, 9654, 568, 27393, 236743, 236778, 236771, 1502, 1473, 1018, 138, 107, 236772, 5213, 134478, 66515, 623, 9067, 1027, 59128, 236772, 68122, 13415, 900, 974, 496, 2196, 27922, 808, 504, 236829, 23532, 130398, 9332, 138, 107, 138, 236772, 14691, 236787, 17151, 623, 9435, 9793, 19888, 585, 236775, 900, 974, 496, 2196, 623, 109942, 67296, 120442, 236775, 568, 84107, 236768, 653, 623, 95739, 34945, 114141, 236775, 568, 138522, 769, 138, 107, 236772, 5213, 59292, 66515, 29785, 11167, 236786, 8916, 568, 25710, 1639, 236768, 607, 27922, 2434, 7913, 568, 236744, 236761, 236759, 1126, 67642, 5122, 236786, 38852, 236768, 532, 23532, 5122, 568, 236812, 236819, 616, 769, 138, 107, 236772, 5213, 30222, 11701, 66515, 623, 19765, 8568, 236764, 886, 28744, 3446, 236888, 236743, 248207, 249397, 247844, 15311, 2434, 795, 36577, 506, 41047, 7462, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 12067, 50228, 1018, 138, 107, 236772, 5213, 30651, 236743, 236770, 66515, 24156, 855, 506, 5213, 52247, 55796, 9654, 623, 40855, 236772, 8565, 10624, 236775, 1018, 568, 75243, 36770, 2290, 769, 138, 107, 236772, 5213, 36022, 236743, 236778, 236771, 66515, 40440, 5213, 236775, 12104, 2865, 6203, 5008, 2275, 236775, 1018, 568, 108575, 59128, 99763, 900, 15336, 59988, 24458, 47598, 769, 138, 107, 236772, 5213, 36956, 236743, 236770, 66515, 9620, 5213, 236775, 46141, 529, 506, 8036, 236775, 1018, 607, 496, 59128, 7728, 236761, 236743, 236812, 236819, 616, 72990, 6831, 568, 236744, 236761, 236759, 1126, 623, 14447, 12142, 19888, 585, 236775, 7728, 236761, 623, 1659, 11476, 102858, 4248, 138, 108, 38786, 611, 1133, 786, 531, 12262, 506, 5213, 84107, 42272, 236772, 8565, 10624, 1018, 6831, 532, 34315, 2148, 236764, 653, 3213, 580, 506, 5213, 36956, 72990, 2460, 1018, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 4102, 607, 506, 5213, 84107, 42272, 236772, 8565, 10624, 580, 5365, 236743, 236770, 1018, 2148, 236888, 564, 1461, 531, 14701, 506, 59128, 236858, 42527, 3904, 840, 607, 18660, 83426, 236761, 5715, 236858, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5213, 21301, 40246, 89254, 1018, 753, 26192, 625, 1131, 19401, 1133, 506, 59128, 236858, 2731, 568, 39403, 69652, 236764, 168768, 236764, 9064, 6156, 236764, 6531, 236772, 8802, 769, 753, 12213, 2777, 4009, 6549, 568, 236744, 236761, 236759, 1126, 623, 60059, 506, 27242, 236775, 64217, 236764, 4155, 8357, 79732, 769, 753, 799, 236772, 70358, 5085, 568, 236744, 236761, 236759, 1126, 496, 11528, 59244, 14779, 573, 2196, 61222, 236764, 2434, 236772, 68122, 5984, 769, 236743, 236778, 236761, 5213, 5403, 140604, 1018, 753, 8689, 580, 506, 623, 109942, 67296, 558, 41345, 236775, 532, 623, 236796, 4984, 41055, 17370, 516, 11780, 236775, 6549, 236761, 753, 4140, 2523, 236772, 3061, 28188, 1826, 573, 2299, 1927, 1013, 568, 236744, 236761, 236759, 1126, 623, 66793, 236772, 22373, 108126, 236787, 236743, 236770, 236771, 82142, 900, 236743, 236778, 12197, 516, 11780, 573, 609, 236810, 236771, 4248, 753, 12213, 496, 31096, 19240, 531, 506, 2290, 568, 236744, 236761, 236759, 1126, 623, 236773, 6030, 78160, 7214, 7393, 236775, 607, 11167, 236786, 8916, 105785, 769, 236743, 236800, 236761, 5213, 157730, 62503, 1018, 753, 669, 27922, 3409, 9857, 5261, 236743, 236770, 236810, 236764, 48490, 607, 506, 59128, 236858, 41910, 6156, 580, 5261, 236743, 236778, 236771, 236761, 59336, 496, 623, 14950, 9274, 236775, 18214, 573, 672, 2846, 568, 236744, 236761, 236759, 1126, 623, 9067, 496, 59128, 13415, 900, 974, 236743, 236778, 236771, 236908, 1135, 27922, 6831, 4852, 4248, 236743, 236812, 236761, 5213, 236794, 3396, 824, 59303, 1018, 753, 669, 5365, 236743, 236770, 2290, 563, 5213, 11319, 54710, 7728, 236761, 33152, 32336, 84750, 4140, 496, 60902, 72990, 3408, 568, 236744, 236761, 236759, 1126, 623, 11319, 7807, 974, 2196, 53625, 236764, 33152, 7807, 974, 2196, 1533, 552, 236775, 2721, 580, 2434, 125032, 769, 9920, 672, 563, 3028, 236764, 1531, 236858, 236751, 25044, 506, 5213, 36956, 623, 46141, 529, 506, 8036, 236775, 72990, 3446, 1018, 531, 20151, 872, 506, 14626, 236888, 106, 107, 105, 4368, 107, 6481, 236858, 236751, 2541, 1679, 506, 5213, 84107, 42272, 236772, 8565, 10624, 1018, 573, 5213, 30651, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 1018, 568, 11319, 54710, 7728, 236761, 33152, 32336, 657, 38916, 36770, 236768, 532, 1299, 18161, 506, 5213, 236775, 46141, 529, 506, 8036, 236775, 1018, 31488, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 27922, 42272, 236772, 8565, 10624, 228571, 89254, 1018, 138, 107, 16907, 236778, 236772, 27962, 28405, 236787, 5261, 236743, 236778, 236770, 236964, 30651, 236743, 236770, 12016, 138, 108, 2595, 5213, 47770, 236743, 236770, 236787, 21107, 69652, 568, 27393, 236743, 236778, 236770, 236964, 236778, 236832, 62902, 138, 107, 236772, 5213, 30222, 11701, 66515, 138, 107, 138, 236772, 40440, 496, 623, 131898, 531, 42272, 236772, 8565, 236775, 3605, 607, 2317, 10797, 568, 236744, 236761, 236759, 1126, 623, 15562, 611, 1281, 46445, 59095, 815, 236743, 236832, 27922, 236743, 236800, 236772, 3947, 8735, 236881, 236743, 248207, 4248, 138, 107, 138, 236772, 26809, 236787, 623, 24249, 2434, 795, 3345, 236881, 78346, 573, 11404, 653, 33152, 532, 974, 496, 2196, 31096, 768, 822, 2434, 18779, 9332, 138, 107, 138, 236772, 19148, 4155, 8357, 79732, 568, 236744, 236761, 236759, 1126, 623, 19242, 104482, 236858, 236751, 1903, 236743, 236770, 236771, 513, 26909, 529, 236743, 236778, 236771, 236778, 236810, 4248, 138, 107, 236772, 5213, 902, 236772, 90882, 66515, 138, 107, 138, 236772, 36047, 606, 607, 2434, 7913, 236787, 46222, 236786, 22278, 568, 11319, 236768, 7728, 236761, 9595, 236786, 51512, 568, 31675, 32336, 769 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1660, 506, 123466, 7501, 872, 531, 236743, 236778, 236771, 3755, 531, 18840, 1061, 52491, 21255, 528, 17792, 23093, 28968, 236761, 3551, 1873, 2958, 580, 506, 18074, 529, 37844, 68433, 532, 16688, 9935, 16332, 18997, 28250, 529, 1239, 17047, 236761, 6890, 506, 1586, 236779, 73368, 78113, 236779, 25425, 5904, 607, 538, 236784, 236778, 236771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25425, 1083, 870, 236771, 236764, 236743, 236770, 236764, 236743, 236770, 236764, 236743, 236778, 236764, 236743, 236800, 236764, 236743, 236810, 236764, 236743, 236828, 236764, 236743, 236770, 236800, 236764, 236743, 236778, 236770, 236764, 236743, 236800, 236812, 236764, 236743, 236810, 236810, 236764, 236743, 236828, 236819, 236764, 236743, 236770, 236812, 236812, 236764, 236743, 236778, 236800, 236800, 236764, 236743, 236800, 236832, 236832, 236764, 236743, 236825, 236770, 236771, 236764, 236743, 236819, 236828, 236832, 236764, 236743, 236770, 236810, 236819, 236832, 236764, 236743, 236778, 236810, 236828, 236812, 236764, 236743, 236812, 236770, 236828, 236770, 21111, 106, 107, 105, 4368, 107, 818, 123466, 7501, 872, 531, 236743, 236778, 236771, 3755, 563, 618, 5238, 236787, 138, 107, 1018, 236771, 236764, 236743, 236770, 236764, 236743, 236770, 236764, 236743, 236778, 236764, 236743, 236800, 236764, 236743, 236810, 236764, 236743, 236828, 236764, 236743, 236770, 236800, 236764, 236743, 236778, 236770, 236764, 236743, 236800, 236812, 236764, 236743, 236810, 236810, 236764, 236743, 236828, 236819, 236764, 236743, 236770, 236812, 236812, 236764, 236743, 236778, 236800, 236800, 236764, 236743, 236800, 236832, 236832, 236764, 236743, 236825, 236770, 236771, 236764, 236743, 236819, 236828, 236832, 236764, 236743, 236770, 236810, 236819, 236832, 236764, 236743, 236778, 236810, 236828, 236812, 236764, 236743, 236812, 236770, 236828, 236770, 1018, 138, 108, 2094, 7501, 815, 1010, 96205, 27662, 573, 10634, 236761, 669, 13935, 7232, 568, 78470, 236743, 236770, 236761, 236825, 236770, 236828, 236768, 59990, 618, 506, 7232, 529, 22592, 3755, 528, 506, 9014, 912, 529, 506, 7501, 236764, 496, 3670, 3187, 12809, 531, 3756, 9935, 532, 52491, 14485, 528, 17792, 28968, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 3671, 236888, 106, 107, 105, 2364, 107, 236777, 1202, 531, 17318, 1217, 506, 7232, 1534, 22592, 123466, 3755, 44973, 8797, 506, 13935, 7232, 528, 506, 4403, 529, 17792, 57878, 236761, 6890, 9279, 236779, 18223, 236779, 4177, 531, 18840, 506, 10256, 4954, 1534, 3755, 236743, 236770, 236810, 236772, 236770, 236825, 568, 236800, 236832, 236832, 238183, 236825, 236770, 236771, 779, 236743, 236770, 236832, 236772, 236770, 236828, 568, 236819, 236828, 236832, 238183, 236770, 236810, 236819, 236832, 779, 532, 236743, 236770, 236819, 236772, 236778, 236771, 568, 236778, 236810, 236828, 236812, 238183, 236812, 236770, 236828, 236770, 769, 1174, 795, 1601, 786, 10769, 23093, 22861, 6224, 607, 37844, 12466, 529, 3756, 119429, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15691, 236779, 2394, 1083, 236743, 236800, 236832, 236832, 236764, 623, 10218, 236779, 2394, 1083, 236743, 236825, 236770, 236771, 236764, 623, 18223, 236779, 4177, 1083, 236743, 236825, 236770, 236761, 236828, 236771, 236800, 236832, 236770, 236800, 236810, 236778, 236832, 236819, 236764, 623, 154521, 236779, 13308, 1083, 3714, 44251, 1083, 236743, 236778, 236800, 236800, 236764, 623, 28350, 1083, 236743, 236770, 236761, 236825, 236770, 236828, 236771, 236800, 236832, 236770, 236800, 236810, 236800, 236764, 623, 59163, 236779, 28350, 236779, 236071, 1083, 623, 236771, 236761, 236771, 236771, 236771, 236771, 236800, 236832, 21012, 699, 621, 236756, 236771, 236800, 236755, 236825, 568, 236770, 236761, 236825, 236770, 236828, 236771, 236800, 236812, 16291, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 18223, 236779, 4177, 1083, 236743, 236825, 236770, 236761, 236828, 236771, 236800, 236812, 236812, 236812, 236832, 236828, 236778, 236778, 236764, 623, 15691, 236779, 2394, 1083, 236743, 236819, 236828, 236832, 236764, 623, 10218, 236779, 2394, 1083, 236743, 236770, 236810, 236819, 236832, 236764, 623, 28350, 236779, 1071, 236779, 59163, 1083, 236743, 236771, 236761, 236819, 236819, 236819, 236812, 236832, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 18223, 236779, 4177, 1083, 236743, 236825, 236770, 236761, 236828, 236771, 236800, 236800, 236819, 236828, 236828, 236832, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 123466, 1941, 24781, 6658, 531, 506, 13935, 7232, 568, 237813, 67081, 236743, 236770, 236761, 236825, 236770, 236828, 236771, 236800, 236812, 1473, 108, 1018, 236770, 236761, 30234, 236743, 236770, 236810, 238183, 236770, 236825, 568, 236800, 236832, 236832, 238183, 236825, 236770, 236771, 1473, 1018, 138, 107, 236772, 66814, 236787, 236743, 236770, 236761, 236825, 236770, 236828, 236771, 236800, 236832, 568, 236771, 236761, 236771, 236771, 236771, 236771, 236800, 236832, 21012, 699, 20542, 236768, 138, 107, 236772, 70231, 14376, 236787, 900, 236825, 236770, 236761, 236828, 236771, 236812, 236908, 138, 107, 236772, 1255, 123428, 531, 20542, 236787, 236743, 236819, 236819, 236761, 236819, 236819, 236819, 236832, 236908, 10634, 138, 108, 1018, 236778, 236761, 30234, 236743, 236770, 236832, 238183, 236770, 236828, 568, 236819, 236828, 236832, 238183, 236770, 236810, 236819, 236832, 1473, 1018, 138, 107, 236772, 66814, 236787, 236743, 236770, 236761, 236825, 236770, 236828, 236771, 236800, 236812, 236812, 236812, 236832, 236828, 568, 236771, 236761, 236771, 236771, 236771, 236771, 236771, 236771, 236812, 236810, 21012, 699, 20542, 236768, 138, 107, 236772, 70231, 14376, 236787, 900, 236825, 236770, 236761, 236828, 236771, 236800, 236812, 236908, 138, 107, 236772, 1255, 123428, 531, 20542, 236787, 236743, 236819, 236819, 236761, 236819, 236819, 236819, 236819, 236832, 236908, 10634, 138, 108, 1018, 236800, 236761, 30234, 236743, 236770, 236819, 238183, 236778, 236771, 568, 236778, 236810, 236828, 236812, 238183, 236812, 236770, 236828, 236770, 1473, 1018, 138, 107, 236772, 66814, 236787, 236743, 236770, 236761, 236825, 236770, 236828, 236771, 236800, 236800, 236819, 236828, 236828, 236832, 568, 25541, 20542, 531, 236743, 236819, 20632, 6666, 236768, 138, 107, 236772, 70231, 14376, 236787, 900, 236825, 236770, 236761, 236828, 236771, 236800, 236812, 236908, 138, 107, 236772, 1255, 123428, 531, 20542, 236787, 26079, 22861, 2351, 236743, 236819, 20632, 6666, 138, 108, 1018, 154915, 3750, 800, 103057, 53121, 138, 107, 818, 7501, 29350, 22117, 22861, 8797, 20542, 236764, 607, 45961, 87281, 684, 2578, 236819, 236771, 236908, 1534, 1546, 6727, 236761, 1174, 100146, 607, 37844, 57878, 236789, 20622, 580, 3756, 119429, 532, 623, 2753, 236775, 568, 237910, 236768, 1271, 506, 2325, 1534, 4945, 1298, 4011, 31975, 59990, 236761, 669, 24781, 236789, 46008, 4313, 531, 20542, 44066, 506, 37844, 3495, 529, 808, 236767, 238803, 508, 236829, 568, 173023, 1169, 800, 9043, 779, 1298, 23093, 18510, 532, 3756, 163260, 124329, 236761, 138, 108, 38786, 611, 1133, 786, 531, 65879, 1239, 12396, 607, 3530, 37844, 57996, 653, 11858, 23093, 23505, 236881, 106, 107, 105, 2364, 107, 236777, 1202, 531, 16807, 768, 11858, 7123, 14809, 23093, 23505, 1133, 506, 808, 170580, 48830, 529, 506, 13038, 60355, 236751, 236829, 568, 238134, 237798, 239242, 247817, 236768, 3014, 16688, 9935, 4596, 531, 506, 13935, 7232, 236761, 6890, 2426, 236779, 78390, 236779, 15516, 531, 9128, 2802, 531, 115922, 48531, 236764, 1299, 4071, 236772, 30449, 607, 9279, 236779, 18223, 236779, 4177, 531, 18840, 22861, 6224, 528, 11858, 17047, 1133, 506, 808, 38223, 3271, 236829, 5562, 1865, 236761, 1174, 795, 1601, 58344, 969, 506, 123466, 7501, 236789, 236751, 52491, 21255, 2351, 6672, 17792, 23093, 44362, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 18941, 1083, 1847, 236764, 623, 103416, 236779, 1356, 1083, 236743, 236812, 236778, 236764, 623, 15727, 236779, 12549, 1083, 3714, 170580, 236779, 68716, 236779, 1340, 236779, 1437, 236779, 26391, 236779, 41387, 236751, 1083, 623, 29345, 1662, 827, 623, 38223, 3271, 236779, 59434, 1865, 236779, 55563, 1083, 623, 56260, 127096, 106, 107, 105, 4368, 107, 40519, 5603, 10778, 568, 236812, 236778, 1356, 51534, 769, 14040, 2802, 4981, 236787, 138, 107, 236772, 113452, 808, 170580, 48830, 529, 506, 13038, 60355, 236751, 236829, 568, 236770, 236800, 236771, 236800, 20200, 236768, 753, 108821, 1662, 532, 15283, 138, 107, 236772, 236743, 248535, 808, 38223, 3271, 236829, 5562, 1865, 17047, 753, 29980, 19188, 2779, 531, 33563, 26439, 138, 108, 8409, 692, 3914, 5467, 18840, 19188, 808, 38223, 3271, 236829, 17047, 236764, 564, 740, 236787, 138, 107, 236770, 236761, 121353, 16688, 9935, 528, 506, 808, 170580, 48830, 184292, 236751, 14337, 3797, 573, 13935, 7232, 59159, 138, 107, 236778, 236761, 44906, 123466, 22861, 6224, 607, 31037, 808, 236874, 26478, 236829, 568, 236777, 138313, 236768, 17116, 4557, 17047, 138, 107, 236800, 236761, 12713, 236772, 30449, 607, 3224, 808, 22927, 235102, 236829, 568, 187457, 800, 35207, 236768, 16085, 190313, 138, 108, 38786, 611, 1133, 786, 531, 7162, 607, 506, 808, 170580, 48830, 236829, 3671, 1699, 2487, 6436, 236764, 653, 59638, 506, 7609, 531, 981, 2351, 1239, 33563, 16305, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1660, 506, 123466, 7501, 872, 531, 236743, 236778, 236771, 3755, 531, 18840, 1061, 52491, 21255, 528, 17792, 23093, 28968, 236761, 3551, 1873, 2958, 580, 506, 18074, 529, 37844, 68433, 532, 16688, 9935, 16332, 18997, 28250, 529, 1239, 17047, 236761, 6890, 506, 1586, 236779, 73368, 78113, 236779, 25425, 5904, 607, 538, 236784, 236778, 236771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25425, 1083, 870, 236771, 236764, 236743, 236770, 236764, 236743, 236770, 236764, 236743, 236778, 236764, 236743, 236800, 236764, 236743, 236810, 236764, 236743, 236828, 236764, 236743, 236770, 236800, 236764, 236743, 236778, 236770, 236764, 236743, 236800, 236812, 236764, 236743, 236810, 236810, 236764, 236743, 236828, 236819, 236764, 236743, 236770, 236812, 236812, 236764, 236743, 236778, 236800, 236800, 236764, 236743, 236800, 236832, 236832, 236764, 236743, 236825, 236770, 236771, 236764, 236743, 236819, 236828, 236832, 236764, 236743, 236770, 236810, 236819, 236832, 236764, 236743, 236778, 236810, 236828, 236812, 236764, 236743, 236812, 236770, 236828, 236770, 21111, 106, 107, 105, 4368, 107, 818, 123466, 7501, 872, 531, 236743, 236778, 236771, 3755, 563, 618, 5238, 236787, 138, 107, 1018, 236771, 236764, 236743, 236770, 236764, 236743, 236770, 236764, 236743, 236778, 236764, 236743, 236800, 236764, 236743, 236810, 236764, 236743, 236828, 236764, 236743, 236770, 236800, 236764, 236743, 236778, 236770, 236764, 236743, 236800, 236812, 236764, 236743, 236810, 236810, 236764, 236743, 236828, 236819, 236764, 236743, 236770, 236812, 236812, 236764, 236743, 236778, 236800, 236800, 236764, 236743, 236800, 236832, 236832, 236764, 236743, 236825, 236770, 236771, 236764, 236743, 236819, 236828, 236832, 236764, 236743, 236770, 236810, 236819, 236832, 236764, 236743, 236778, 236810, 236828, 236812, 236764, 236743, 236812, 236770, 236828, 236770, 1018, 138, 108, 2094, 7501, 815, 1010, 96205, 27662, 573, 10634, 236761, 669, 13935, 7232, 568, 78470, 236743, 236770, 236761, 236825, 236770, 236828, 236768, 59990, 618, 506, 7232, 529, 22592, 3755, 528, 506, 9014, 912, 529, 506, 7501, 236764, 496, 3670, 3187, 12809, 531, 3756, 9935, 532, 52491, 14485, 528, 17792, 28968, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 3671, 236888, 106, 107, 105, 2364, 107, 236777, 1202, 531, 17318, 1217, 506, 7232, 1534, 22592, 123466, 3755, 44973, 8797, 506, 13935, 7232, 528, 506, 4403, 529, 17792, 57878, 236761, 6890, 9279, 236779, 18223, 236779, 4177, 531, 18840, 506, 10256, 4954, 1534, 3755, 236743, 236770, 236810, 236772, 236770, 236825, 568, 236800, 236832, 236832, 238183, 236825, 236770, 236771, 779, 236743, 236770, 236832, 236772, 236770, 236828, 568, 236819, 236828, 236832, 238183, 236770, 236810, 236819, 236832, 779, 532, 236743, 236770, 236819, 236772, 236778, 236771, 568, 236778, 236810, 236828, 236812, 238183, 236812, 236770, 236828, 236770, 769, 1174, 795, 1601, 786, 10769, 23093, 22861, 6224, 607, 37844, 12466, 529, 3756, 119429, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15691, 236779, 2394, 1083, 236743, 236800, 236832, 236832, 236764, 623, 10218, 236779, 2394, 1083, 236743, 236825, 236770, 236771, 236764, 623, 18223, 236779, 4177, 1083, 236743, 236825, 236770, 236761, 236828, 236771, 236800, 236832, 236770, 236800, 236810, 236778, 236832, 236819, 236764, 623, 154521, 236779, 13308, 1083, 3714, 44251, 1083, 236743, 236778, 236800, 236800, 236764, 623, 28350, 1083, 236743, 236770, 236761, 236825, 236770, 236828, 236771, 236800, 236832, 236770, 236800, 236810, 236800, 236764, 623, 59163, 236779, 28350, 236779, 236071, 1083, 623, 236771, 236761, 236771, 236771, 236771, 236771, 236800, 236832, 21012, 699, 621, 236756, 236771, 236800, 236755, 236825, 568, 236770, 236761, 236825, 236770, 236828, 236771, 236800, 236812, 16291, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 18223, 236779, 4177, 1083, 236743, 236825, 236770, 236761, 236828, 236771, 236800, 236812, 236812, 236812, 236832, 236828, 236778, 236778, 236764, 623, 15691, 236779, 2394, 1083, 236743, 236819, 236828, 236832, 236764, 623, 10218, 236779, 2394, 1083, 236743, 236770, 236810, 236819, 236832, 236764, 623, 28350, 236779, 1071, 236779, 59163, 1083, 236743, 236771, 236761, 236819, 236819, 236819, 236812, 236832, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 18223, 236779, 4177, 1083, 236743, 236825, 236770, 236761, 236828, 236771, 236800, 236800, 236819, 236828, 236828, 236832, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 123466, 1941, 24781, 6658, 531, 506, 13935, 7232, 568, 237813, 67081, 236743, 236770, 236761, 236825, 236770, 236828, 236771, 236800, 236812, 1473, 108, 1018, 236770, 236761, 30234, 236743, 236770, 236810, 238183, 236770, 236825, 568, 236800, 236832, 236832, 238183, 236825, 236770, 236771, 1473, 1018, 138, 107, 236772, 66814, 236787, 236743, 236770, 236761, 236825, 236770, 236828, 236771, 236800, 236832, 568, 236771, 236761, 236771, 236771, 236771, 236771, 236800, 236832, 21012, 699, 20542, 236768, 138, 107, 236772, 70231, 14376, 236787, 900, 236825, 236770, 236761, 236828, 236771, 236812, 236908, 138, 107, 236772, 1255, 123428, 531, 20542, 236787, 236743, 236819, 236819, 236761, 236819, 236819, 236819, 236832, 236908, 10634, 138, 108, 1018, 236778, 236761, 30234, 236743, 236770, 236832, 238183, 236770, 236828, 568, 236819, 236828, 236832, 238183, 236770, 236810, 236819, 236832, 1473, 1018, 138, 107, 236772, 66814, 236787, 236743, 236770, 236761, 236825, 236770, 236828, 236771, 236800, 236812, 236812, 236812, 236832, 236828, 568, 236771, 236761, 236771, 236771, 236771, 236771, 236771, 236771, 236812, 236810, 21012, 699, 20542, 236768, 138, 107, 236772, 70231, 14376, 236787, 900, 236825, 236770, 236761, 236828, 236771, 236800, 236812, 236908, 138, 107, 236772, 1255, 123428, 531, 20542, 236787, 236743, 236819, 236819, 236761, 236819, 236819, 236819, 236819, 236832, 236908, 10634, 138, 108, 1018, 236800, 236761, 30234, 236743, 236770, 236819, 238183, 236778, 236771, 568, 236778, 236810, 236828, 236812, 238183, 236812, 236770, 236828, 236770, 1473, 1018, 138, 107, 236772, 66814, 236787, 236743, 236770, 236761, 236825, 236770, 236828, 236771, 236800, 236800, 236819, 236828, 236828, 236832, 568, 25541, 20542, 531, 236743, 236819, 20632, 6666, 236768, 138, 107, 236772, 70231, 14376, 236787, 900, 236825, 236770, 236761, 236828, 236771, 236800, 236812, 236908, 138, 107, 236772, 1255, 123428, 531, 20542, 236787, 26079, 22861, 2351, 236743, 236819, 20632, 6666, 138, 108, 1018, 154915, 3750, 800, 103057, 53121, 138, 107, 818, 7501, 29350, 22117, 22861, 8797, 20542, 236764, 607, 45961, 87281, 684, 2578, 236819, 236771, 236908, 1534, 1546, 6727, 236761, 1174, 100146, 607, 37844, 57878, 236789, 20622, 580, 3756, 119429, 532, 623, 2753, 236775, 568, 237910, 236768, 1271, 506, 2325, 1534, 4945, 1298, 4011, 31975, 59990, 236761, 669, 24781, 236789, 46008, 4313, 531, 20542, 44066, 506, 37844, 3495, 529, 808, 236767, 238803, 508, 236829, 568, 173023, 1169, 800, 9043, 779, 1298, 23093, 18510, 532, 3756, 163260, 124329, 236761, 138, 108, 38786, 611, 1133, 786, 531, 65879, 1239, 12396, 607, 3530, 37844, 57996, 653, 11858, 23093, 23505, 236881, 106, 107, 105, 2364, 107, 236777, 1202, 531, 16807, 768, 11858, 7123, 14809, 23093, 23505, 1133, 506, 808, 170580, 48830, 529, 506, 13038, 60355, 236751, 236829, 568, 238134, 237798, 239242, 247817, 236768, 3014, 16688, 9935, 4596, 531, 506, 13935, 7232, 236761, 6890, 2426, 236779, 78390, 236779, 15516, 531, 9128, 2802, 531, 115922, 48531, 236764, 1299, 4071, 236772, 30449, 607, 9279, 236779, 18223, 236779, 4177, 531, 18840, 22861, 6224, 528, 11858, 17047, 1133, 506, 808, 38223, 3271, 236829, 5562, 1865, 236761, 1174, 795, 1601, 58344, 969, 506, 123466, 7501, 236789, 236751, 52491, 21255, 2351, 6672, 17792, 23093, 44362, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 18941, 1083, 1847, 236764, 623, 103416, 236779, 1356, 1083, 236743, 236812, 236778, 236764, 623, 15727, 236779, 12549, 1083, 3714, 170580, 236779, 68716, 236779, 1340, 236779, 1437, 236779, 26391, 236779, 41387, 236751, 1083, 623, 29345, 1662, 827, 623, 38223, 3271, 236779, 59434, 1865, 236779, 55563, 1083, 623, 56260, 127096, 106, 107, 105, 4368, 107, 40519, 5603, 10778, 568, 236812, 236778, 1356, 51534, 769, 14040, 2802, 4981, 236787, 138, 107, 236772, 113452, 808, 170580, 48830, 529, 506, 13038, 60355, 236751, 236829, 568, 236770, 236800, 236771, 236800, 20200, 236768, 753, 108821, 1662, 532, 15283, 138, 107, 236772, 236743, 248535, 808, 38223, 3271, 236829, 5562, 1865, 17047, 753, 29980, 19188, 2779, 531, 33563, 26439, 138, 108, 8409, 692, 3914, 5467, 18840, 19188, 808, 38223, 3271, 236829, 17047, 236764, 564, 740, 236787, 138, 107, 236770, 236761, 121353, 16688, 9935, 528, 506, 808, 170580, 48830, 184292, 236751, 14337, 3797, 573, 13935, 7232, 59159, 138, 107, 236778, 236761, 44906, 123466, 22861, 6224, 607, 31037, 808, 236874, 26478, 236829, 568, 236777, 138313, 236768, 17116, 4557, 17047, 138, 107, 236800, 236761, 12713, 236772, 30449, 607, 3224, 808, 22927, 235102, 236829, 568, 187457, 800, 35207, 236768, 16085, 190313, 138, 108, 38786, 611, 1133, 786, 531, 7162, 607, 506, 808, 170580, 48830, 236829, 3671, 1699, 2487, 6436, 236764, 653, 59638, 506, 7609, 531, 981, 2351, 1239, 33563, 16305, 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, 496, 4284, 7946, 531, 46432, 532, 220809, 2148, 6247, 531, 3517, 8202, 5726, 70836, 607, 1041, 8268, 2299, 236761, 564, 1765, 15375, 573, 496, 3530, 2433, 528, 46432, 2101, 506, 13979, 17632, 23563, 532, 44490, 36962, 11109, 236761, 3199, 611, 3927, 573, 6666, 2351, 672, 55574, 3673, 236881, 669, 52024, 15375, 659, 870, 236800, 236778, 236761, 236800, 236832, 236819, 236778, 236764, 753, 236828, 236825, 236761, 236778, 236819, 236770, 236810, 236842, 532, 52910, 659, 870, 236800, 236778, 236761, 236800, 236832, 236810, 236771, 236764, 753, 236828, 236825, 236761, 236800, 236771, 236771, 236771, 1619, 564, 1461, 531, 1386, 2889, 692, 1537, 236789, 236745, 4305, 1027, 11497, 53039, 1913, 1023, 3517, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35105, 1083, 78493, 1201, 1083, 623, 69662, 17632, 23563, 6022, 827, 623, 7720, 1083, 623, 236812, 236771, 236771, 7693, 18977, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236800, 236832, 236832, 236778, 236764, 623, 14716, 1083, 753, 236828, 236825, 236761, 236778, 236819, 236778, 236770, 1263, 623, 2084, 1083, 623, 82407, 23179, 3714, 1201, 1083, 623, 156883, 36962, 11109, 827, 623, 7720, 1083, 623, 236778, 236810, 236770, 46432, 842, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236800, 236832, 236828, 236770, 236764, 623, 14716, 1083, 753, 236828, 236825, 236761, 236778, 236819, 236812, 236810, 1263, 623, 2084, 1083, 623, 82407, 23179, 3714, 1201, 1083, 623, 127510, 589, 17463, 6065, 23563, 8137, 827, 623, 7720, 1083, 623, 236812, 236810, 236812, 97796, 18977, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236800, 236832, 236832, 236819, 236764, 623, 14716, 1083, 753, 236828, 236825, 236761, 236778, 236819, 236800, 236800, 1263, 623, 2084, 1083, 623, 48015, 23179, 3714, 1201, 1083, 623, 117676, 11109, 827, 623, 7720, 1083, 623, 236770, 236770, 236810, 26830, 842, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236800, 236832, 236825, 236810, 236764, 623, 14716, 1083, 753, 236828, 236825, 236761, 236778, 236819, 236825, 236828, 1263, 623, 2084, 1083, 623, 82407, 23179, 3714, 1201, 1083, 623, 106729, 184447, 11109, 827, 623, 7720, 1083, 623, 236778, 236770, 236771, 555, 5762, 842, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236800, 236832, 236810, 236828, 236764, 623, 14716, 1083, 753, 236828, 236825, 236761, 236778, 236819, 236828, 236832, 1263, 623, 2084, 1083, 623, 82407, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 24786, 6666, 2351, 822, 9155, 55574, 3673, 528, 46432, 236787, 108, 236770, 236761, 5213, 69662, 17632, 23563, 6022, 1018, 138, 107, 139, 244343, 236743, 236812, 236771, 236771, 7693, 18977, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 138, 107, 139, 236829, 2328, 149681, 11109, 138, 108, 236778, 236761, 5213, 156883, 36962, 11109, 1018, 138, 107, 139, 244343, 236743, 236778, 236810, 236770, 46432, 842, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 138, 107, 139, 236829, 2328, 149681, 11109, 138, 108, 236800, 236761, 5213, 127510, 589, 17463, 6065, 23563, 8137, 1018, 138, 107, 139, 244343, 236743, 236812, 236810, 236812, 97796, 18977, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 138, 107, 139, 236829, 2328, 149681, 8137, 138, 108, 236812, 236761, 5213, 117676, 11109, 1018, 138, 107, 139, 244343, 236743, 236770, 236770, 236810, 26830, 842, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 138, 107, 139, 236829, 2328, 149681, 11109, 138, 108, 236810, 236761, 5213, 106729, 184447, 11109, 1018, 138, 107, 139, 244343, 236743, 236778, 236770, 236771, 555, 5762, 842, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 138, 107, 139, 236829, 2328, 149681, 11109, 138, 108, 9208, 3204, 3262, 8202, 5726, 70836, 236764, 41850, 236764, 532, 11858, 7088, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 236764, 2426, 4889, 1003, 1027, 529, 1239, 11024, 236764, 653, 6361, 607, 6995, 822, 220809, 76717, 2148, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 496, 4284, 7946, 531, 46432, 532, 220809, 2148, 6247, 531, 3517, 8202, 5726, 70836, 607, 1041, 8268, 2299, 236761, 564, 1765, 15375, 573, 496, 3530, 2433, 528, 46432, 2101, 506, 13979, 17632, 23563, 532, 44490, 36962, 11109, 236761, 3199, 611, 3927, 573, 6666, 2351, 672, 55574, 3673, 236881, 669, 52024, 15375, 659, 870, 236800, 236778, 236761, 236800, 236832, 236819, 236778, 236764, 753, 236828, 236825, 236761, 236778, 236819, 236770, 236810, 236842, 532, 52910, 659, 870, 236800, 236778, 236761, 236800, 236832, 236810, 236771, 236764, 753, 236828, 236825, 236761, 236800, 236771, 236771, 236771, 1619, 564, 1461, 531, 1386, 2889, 692, 1537, 236789, 236745, 4305, 1027, 11497, 53039, 1913, 1023, 3517, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35105, 1083, 78493, 1201, 1083, 623, 69662, 17632, 23563, 6022, 827, 623, 7720, 1083, 623, 236812, 236771, 236771, 7693, 18977, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236800, 236832, 236832, 236778, 236764, 623, 14716, 1083, 753, 236828, 236825, 236761, 236778, 236819, 236778, 236770, 1263, 623, 2084, 1083, 623, 82407, 23179, 3714, 1201, 1083, 623, 156883, 36962, 11109, 827, 623, 7720, 1083, 623, 236778, 236810, 236770, 46432, 842, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236800, 236832, 236828, 236770, 236764, 623, 14716, 1083, 753, 236828, 236825, 236761, 236778, 236819, 236812, 236810, 1263, 623, 2084, 1083, 623, 82407, 23179, 3714, 1201, 1083, 623, 127510, 589, 17463, 6065, 23563, 8137, 827, 623, 7720, 1083, 623, 236812, 236810, 236812, 97796, 18977, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236800, 236832, 236832, 236819, 236764, 623, 14716, 1083, 753, 236828, 236825, 236761, 236778, 236819, 236800, 236800, 1263, 623, 2084, 1083, 623, 48015, 23179, 3714, 1201, 1083, 623, 117676, 11109, 827, 623, 7720, 1083, 623, 236770, 236770, 236810, 26830, 842, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236800, 236832, 236825, 236810, 236764, 623, 14716, 1083, 753, 236828, 236825, 236761, 236778, 236819, 236825, 236828, 1263, 623, 2084, 1083, 623, 82407, 23179, 3714, 1201, 1083, 623, 106729, 184447, 11109, 827, 623, 7720, 1083, 623, 236778, 236770, 236771, 555, 5762, 842, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236800, 236832, 236810, 236828, 236764, 623, 14716, 1083, 753, 236828, 236825, 236761, 236778, 236819, 236828, 236832, 1263, 623, 2084, 1083, 623, 82407, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 24786, 6666, 2351, 822, 9155, 55574, 3673, 528, 46432, 236787, 108, 236770, 236761, 5213, 69662, 17632, 23563, 6022, 1018, 138, 107, 139, 244343, 236743, 236812, 236771, 236771, 7693, 18977, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 138, 107, 139, 236829, 2328, 149681, 11109, 138, 108, 236778, 236761, 5213, 156883, 36962, 11109, 1018, 138, 107, 139, 244343, 236743, 236778, 236810, 236770, 46432, 842, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 138, 107, 139, 236829, 2328, 149681, 11109, 138, 108, 236800, 236761, 5213, 127510, 589, 17463, 6065, 23563, 8137, 1018, 138, 107, 139, 244343, 236743, 236812, 236810, 236812, 97796, 18977, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 138, 107, 139, 236829, 2328, 149681, 8137, 138, 108, 236812, 236761, 5213, 117676, 11109, 1018, 138, 107, 139, 244343, 236743, 236770, 236770, 236810, 26830, 842, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 138, 107, 139, 236829, 2328, 149681, 11109, 138, 108, 236810, 236761, 5213, 106729, 184447, 11109, 1018, 138, 107, 139, 244343, 236743, 236778, 236770, 236771, 555, 5762, 842, 236764, 46432, 236764, 9634, 236743, 236800, 236825, 236770, 236771, 236812, 138, 107, 139, 236829, 2328, 149681, 11109, 138, 108, 9208, 3204, 3262, 8202, 5726, 70836, 236764, 41850, 236764, 532, 11858, 7088, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 236764, 2426, 4889, 1003, 1027, 529, 1239, 11024, 236764, 653, 6361, 607, 6995, 822, 220809, 76717, 2148, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 4875, 531, 5811, 855, 506, 2157, 529, 496, 861, 71164, 5464, 699, 3879, 236761, 669, 27313, 26682, 786, 236743, 236810, 236771, 236771, 236771, 100608, 236764, 840, 564, 1202, 531, 1281, 1217, 1623, 600, 563, 528, 2590, 11092, 1447, 1492, 236761, 1452, 1299, 236764, 768, 564, 1769, 855, 496, 10670, 573, 625, 236764, 1144, 1093, 1041, 13822, 7548, 577, 236881, 564, 236789, 236757, 6972, 529, 496, 236743, 236810, 236772, 3704, 10670, 657, 236743, 236810, 236908, 2142, 236761, 3199, 611, 1601, 786, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5521, 236779, 27617, 1083, 623, 79271, 827, 623, 5654, 236779, 27617, 1083, 623, 38556, 827, 623, 13304, 1083, 236743, 236810, 236771, 236771, 236771, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236771, 236828, 236764, 623, 107642, 236779, 13304, 1083, 236743, 236810, 236812, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 71832, 236779, 24471, 1083, 236743, 236770, 236771, 236770, 236761, 236819, 236764, 623, 6725, 236779, 24471, 1083, 236743, 236825, 236770, 236770, 236812, 236761, 236771, 236764, 623, 6725, 236779, 21878, 1083, 236743, 236832, 236770, 236812, 236761, 236771, 236783, 106, 107, 105, 4368, 107, 818, 71164, 5464, 5384, 5213, 236795, 236810, 236764, 236812, 236771, 236771, 23058, 1018, 568, 5140, 580, 496, 1873, 35594, 531, 23058, 14274, 3136, 529, 236743, 236770, 236761, 236771, 236828, 769, 236743, 108, 2542, 496, 5213, 236810, 236772, 3704, 10670, 657, 236743, 236810, 236908, 7384, 2142, 1018, 580, 609, 236810, 236764, 236812, 236771, 236771, 236787, 107, 236772, 5213, 96579, 7548, 66515, 609, 236770, 236771, 236770, 236761, 236819, 236771, 138, 107, 236772, 5213, 9640, 7548, 1024, 236743, 236810, 1518, 66515, 609, 236825, 236764, 236770, 236770, 236812, 236761, 236771, 236771, 138, 107, 236772, 5213, 9640, 2142, 6382, 66515, 609, 236832, 236770, 236812, 236761, 236771, 236771, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 10670, 3755, 236888, 103453, 106, 107, 105, 2364, 107, 20470, 236764, 2768, 580, 237028, 1184, 786, 3972, 236772, 4256, 600, 8770, 3136, 236761, 564, 1537, 236858, 236745, 5210, 84953, 4945, 2180, 92578, 506, 808, 4002, 236829, 3136, 236761, 3199, 611, 8091, 506, 808, 9238, 236772, 2289, 236829, 35594, 531, 23058, 14274, 1699, 506, 15130, 14274, 5904, 1171, 236881, 564, 236858, 859, 1202, 600, 4453, 1548, 1680, 692, 1581, 1751, 1003, 506, 10670, 236761, 3551, 8351, 236858, 236751, 7715, 4038, 236858, 236745, 1441, 4972, 607, 59891, 4945, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5521, 236779, 27617, 1083, 623, 79271, 827, 623, 5654, 236779, 27617, 1083, 623, 38556, 827, 623, 13304, 1083, 236743, 236810, 236771, 236771, 236771, 236764, 623, 107642, 236779, 13304, 1083, 236743, 236810, 236812, 236771, 236771, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236771, 236828, 236783, 106, 107, 105, 4368, 107, 818, 1873, 35594, 531, 23058, 14274, 3136, 699, 506, 9299, 563, 5213, 236770, 236761, 236771, 236828, 125546, 9113, 528, 496, 18997, 14274, 529, 5213, 236810, 236764, 236771, 236771, 236771, 35594, 578, 609, 236810, 236764, 236812, 236771, 236771, 236761, 236771, 236771, 23058, 1018, 568, 1904, 84953, 6055, 769, 236743, 108, 2542, 496, 5213, 236810, 236772, 3704, 10670, 657, 236743, 236810, 236908, 7384, 2142, 1018, 580, 609, 236810, 236764, 236812, 236771, 236771, 236787, 107, 236772, 5213, 96579, 7548, 66515, 609, 236770, 236771, 236770, 236761, 236819, 236771, 138, 107, 236772, 5213, 9640, 7548, 1024, 236743, 236810, 1518, 66515, 609, 236825, 236764, 236770, 236770, 236812, 236761, 236771, 236771, 138, 107, 236772, 5213, 9640, 2142, 6382, 66515, 609, 236832, 236770, 236812, 236761, 236771, 236771, 138, 108, 2094, 14988, 6178, 506, 808, 67655, 236829, 14274, 3136, 3847, 684, 506, 15130, 9299, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 10670, 1941, 653, 2142, 3136, 236888, 172181, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 4875, 531, 5811, 855, 506, 2157, 529, 496, 861, 71164, 5464, 699, 3879, 236761, 669, 27313, 26682, 786, 236743, 236810, 236771, 236771, 236771, 100608, 236764, 840, 564, 1202, 531, 1281, 1217, 1623, 600, 563, 528, 2590, 11092, 1447, 1492, 236761, 1452, 1299, 236764, 768, 564, 1769, 855, 496, 10670, 573, 625, 236764, 1144, 1093, 1041, 13822, 7548, 577, 236881, 564, 236789, 236757, 6972, 529, 496, 236743, 236810, 236772, 3704, 10670, 657, 236743, 236810, 236908, 2142, 236761, 3199, 611, 1601, 786, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5521, 236779, 27617, 1083, 623, 79271, 827, 623, 5654, 236779, 27617, 1083, 623, 38556, 827, 623, 13304, 1083, 236743, 236810, 236771, 236771, 236771, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236771, 236828, 236764, 623, 107642, 236779, 13304, 1083, 236743, 236810, 236812, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 71832, 236779, 24471, 1083, 236743, 236770, 236771, 236770, 236761, 236819, 236764, 623, 6725, 236779, 24471, 1083, 236743, 236825, 236770, 236770, 236812, 236761, 236771, 236764, 623, 6725, 236779, 21878, 1083, 236743, 236832, 236770, 236812, 236761, 236771, 236783, 106, 107, 105, 4368, 107, 818, 71164, 5464, 5384, 5213, 236795, 236810, 236764, 236812, 236771, 236771, 23058, 1018, 568, 5140, 580, 496, 1873, 35594, 531, 23058, 14274, 3136, 529, 236743, 236770, 236761, 236771, 236828, 769, 236743, 108, 2542, 496, 5213, 236810, 236772, 3704, 10670, 657, 236743, 236810, 236908, 7384, 2142, 1018, 580, 609, 236810, 236764, 236812, 236771, 236771, 236787, 107, 236772, 5213, 96579, 7548, 66515, 609, 236770, 236771, 236770, 236761, 236819, 236771, 138, 107, 236772, 5213, 9640, 7548, 1024, 236743, 236810, 1518, 66515, 609, 236825, 236764, 236770, 236770, 236812, 236761, 236771, 236771, 138, 107, 236772, 5213, 9640, 2142, 6382, 66515, 609, 236832, 236770, 236812, 236761, 236771, 236771, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 10670, 3755, 236888, 103453, 106, 107, 105, 2364, 107, 20470, 236764, 2768, 580, 237028, 1184, 786, 3972, 236772, 4256, 600, 8770, 3136, 236761, 564, 1537, 236858, 236745, 5210, 84953, 4945, 2180, 92578, 506, 808, 4002, 236829, 3136, 236761, 3199, 611, 8091, 506, 808, 9238, 236772, 2289, 236829, 35594, 531, 23058, 14274, 1699, 506, 15130, 14274, 5904, 1171, 236881, 564, 236858, 859, 1202, 600, 4453, 1548, 1680, 692, 1581, 1751, 1003, 506, 10670, 236761, 3551, 8351, 236858, 236751, 7715, 4038, 236858, 236745, 1441, 4972, 607, 59891, 4945, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5521, 236779, 27617, 1083, 623, 79271, 827, 623, 5654, 236779, 27617, 1083, 623, 38556, 827, 623, 13304, 1083, 236743, 236810, 236771, 236771, 236771, 236764, 623, 107642, 236779, 13304, 1083, 236743, 236810, 236812, 236771, 236771, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236771, 236828, 236783, 106, 107, 105, 4368, 107, 818, 1873, 35594, 531, 23058, 14274, 3136, 699, 506, 9299, 563, 5213, 236770, 236761, 236771, 236828, 125546, 9113, 528, 496, 18997, 14274, 529, 5213, 236810, 236764, 236771, 236771, 236771, 35594, 578, 609, 236810, 236764, 236812, 236771, 236771, 236761, 236771, 236771, 23058, 1018, 568, 1904, 84953, 6055, 769, 236743, 108, 2542, 496, 5213, 236810, 236772, 3704, 10670, 657, 236743, 236810, 236908, 7384, 2142, 1018, 580, 609, 236810, 236764, 236812, 236771, 236771, 236787, 107, 236772, 5213, 96579, 7548, 66515, 609, 236770, 236771, 236770, 236761, 236819, 236771, 138, 107, 236772, 5213, 9640, 7548, 1024, 236743, 236810, 1518, 66515, 609, 236825, 236764, 236770, 236770, 236812, 236761, 236771, 236771, 138, 107, 236772, 5213, 9640, 2142, 6382, 66515, 609, 236832, 236770, 236812, 236761, 236771, 236771, 138, 108, 2094, 14988, 6178, 506, 808, 67655, 236829, 14274, 3136, 3847, 684, 506, 15130, 9299, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 10670, 1941, 653, 2142, 3136, 236888, 172181, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 22479, 22344, 236761, 3551, 1873, 15858, 659, 5809, 531, 31236, 10670, 2142, 1699, 506, 2165, 30718, 236779, 62327, 236779, 21878, 236929, 5904, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 10670, 15621, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 22479, 22344, 236761, 3551, 1873, 15858, 659, 5809, 531, 31236, 10670, 2142, 1699, 506, 2165, 30718, 236779, 62327, 236779, 21878, 236929, 5904, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 10670, 15621, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 5484, 699, 506, 3640, 4184, 3607, 236789, 236751, 4559, 18660, 2434, 573, 496, 3399, 2460, 564, 236789, 236757, 35447, 236761, 3199, 611, 2847, 496, 1694, 529, 1873, 5484, 532, 910, 10681, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 147004, 24865, 827, 623, 3473, 1083, 623, 42100, 25938, 107, 14937, 1201, 1083, 623, 151718, 138415, 4166, 827, 623, 3473, 1083, 623, 42100, 25938, 107, 14937, 1201, 1083, 623, 20020, 11644, 30704, 827, 623, 3473, 1083, 623, 54659, 25938, 107, 14937, 1201, 1083, 623, 236776, 236789, 2489, 16776, 827, 623, 3473, 1083, 623, 54659, 236786, 16409, 25938, 107, 14937, 1201, 1083, 623, 100203, 25393, 827, 623, 3473, 1083, 623, 42100, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 1873, 5484, 699, 506, 3640, 4184, 3607, 236789, 236751, 4559, 18660, 2434, 236787, 108, 236770, 236761, 5213, 147004, 24865, 1018, 753, 16758, 138, 107, 236778, 236761, 5213, 151718, 138415, 4166, 1018, 753, 16758, 138, 107, 236800, 236761, 5213, 20020, 11644, 30704, 1018, 753, 48447, 138, 107, 236812, 236761, 5213, 236776, 236789, 2489, 16776, 1018, 753, 48447, 236786, 16409, 138, 107, 236810, 236761, 5213, 100203, 25393, 1018, 753, 16758, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 4767, 4889, 653, 1601, 607, 4658, 1663, 573, 822, 2460, 236888, 106, 107, 105, 2364, 107, 8574, 611, 2847, 919, 9813, 1938, 1003, 1239, 5484, 236764, 1288, 618, 910, 1873, 7974, 532, 6334, 20756, 236881, 564, 1461, 531, 49523, 1023, 2460, 5085, 531, 8357, 910, 28386, 532, 29685, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 1982, 2802, 531, 4155, 62606, 653, 9813, 20183, 1343, 506, 2487, 6436, 236764, 618, 506, 5151, 1186, 2174, 1385, 11303, 684, 2891, 5853, 568, 236744, 236761, 236759, 1126, 623, 18038, 1373, 653, 1660, 3530, 4155, 62606, 573, 9813, 1262, 236761, 5612, 506, 6436, 1537, 236789, 236745, 1894, 19460, 684, 1463, 653, 67896, 62606, 699, 506, 6517, 1694, 236764, 564, 740, 236789, 236745, 12270, 4767, 4889, 1133, 1873, 7974, 653, 6334, 20756, 607, 506, 1873, 5904, 1025, 236761, 236743, 108, 3048, 2473, 1461, 531, 5370, 855, 531, 506, 2460, 54213, 653, 6618, 5125, 649, 84107, 236786, 18038, 55796, 7021, 573, 672, 1938, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 1032, 10217, 529, 822, 2460, 6995, 236888, 106, 107, 105, 2364, 107, 12879, 573, 106441, 506, 5904, 16305, 236888, 5612, 692, 740, 236789, 236745, 33205, 9813, 4155, 20183, 236764, 1451, 692, 5205, 78543, 9578, 4861, 531, 27968, 506, 5484, 236789, 10681, 1131, 1023, 2460, 5085, 236881, 1701, 2591, 236764, 25470, 12889, 14996, 600, 8357, 35135, 236789, 78485, 653, 55138, 236789, 21649, 8403, 236761, 564, 236858, 236753, 2765, 822, 2744, 580, 3043, 672, 21931, 573, 1023, 3399, 2299, 236888, 106, 107, 105, 4368, 107, 6372, 236858, 236751, 496, 14853, 4317, 236888, 3792, 236858, 236751, 1161, 506, 10681, 692, 735, 531, 2619, 21964, 236764, 12889, 236772, 5140, 5085, 600, 17159, 506, 4709, 28386, 529, 1546, 3853, 236761, 5715, 659, 1070, 9578, 19205, 36443, 531, 506, 10681, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 100957, 568, 147004, 24865, 236764, 45109, 138415, 4166, 236764, 28724, 25393, 62902, 138, 107, 1018, 15354, 53121, 3431, 1247, 236764, 11332, 236764, 532, 3823, 4893, 236772, 15992, 236761, 138, 107, 1018, 93035, 53121, 138, 107, 236772, 5213, 236775, 42100, 103118, 32115, 1083, 1018, 138, 107, 138, 3974, 872, 614, 33974, 3003, 607, 55816, 532, 119083, 13599, 75255, 236761, 60624, 7547, 531, 21332, 506, 3003, 1651, 119083, 13599, 236764, 1299, 4133, 496, 3605, 529, 15350, 16349, 531, 496, 3328, 568, 236744, 236761, 236759, 1126, 496, 59244, 653, 70942, 769, 7578, 1546, 32571, 531, 37837, 4249, 532, 18510, 236761, 138, 107, 236772, 5213, 236775, 78115, 9940, 497, 124991, 1083, 1018, 138, 107, 138, 125449, 4402, 1131, 7974, 529, 236743, 236800, 236964, 236810, 236761, 799, 496, 29791, 2557, 236764, 5484, 1921, 1786, 496, 4299, 13380, 2180, 111045, 568, 5282, 496, 623, 9341, 25852, 236775, 2290, 769, 118189, 1217, 35135, 40360, 528, 1494, 236772, 31700, 12983, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 1701, 3259, 568, 20020, 11644, 30704, 236764, 562, 236858, 2489, 16776, 62902, 138, 107, 1018, 15354, 53121, 187351, 58367, 236764, 199328, 236764, 532, 3998, 2025, 236761, 138, 107, 1018, 93035, 53121, 138, 107, 236772, 5213, 236775, 3900, 5227, 27773, 32115, 1083, 1018, 138, 107, 138, 6924, 623, 9341, 20874, 236775, 2101, 506, 4054, 568, 236744, 236761, 236759, 1126, 3107, 236772, 8572, 236764, 5453, 236772, 8572, 236764, 1806, 236772, 3947, 1757, 769, 60624, 6637, 3298, 573, 3043, 19034, 699, 1607, 20874, 236761, 13835, 16201, 3298, 573, 1699, 3530, 8403, 568, 236744, 236761, 236759, 1126, 496, 197621, 236764, 29625, 14968, 236764, 653, 9212, 5719, 769, 138, 107, 236772, 5213, 236775, 1479, 10633, 6065, 236786, 39900, 1083, 1018, 138, 107, 138, 10896, 496, 11528, 154534, 653, 23464, 59244, 531, 43928, 199328, 236761, 60624, 20811, 531, 14304, 506, 1346, 53632, 699, 15315, 19034, 236761, 56571, 1217, 55138, 41932, 506, 19059, 236888, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 48447, 236786, 16409, 568, 236776, 236858, 2489, 16776, 62902, 138, 107, 1018, 15354, 53121, 153119, 6130, 236764, 5719, 236772, 91844, 236764, 532, 4888, 21649, 236761, 138, 107, 1018, 93035, 53121, 138, 107, 236772, 5213, 236775, 4222, 4410, 12090, 115389, 1083, 1018, 138, 107, 138, 105279, 8324, 872, 236761, 3656, 21727, 531, 8363, 1651, 506, 1032, 6178, 2005, 25501, 45574, 568, 29103, 872, 236764, 6172, 6049, 236768, 531, 3355, 506, 5719, 236761, 135806, 13616, 532, 37837, 3998, 2025, 236761, 138, 107, 236772, 5213, 236775, 7118, 236772, 4674, 32115, 1083, 1018, 138, 107, 138, 902, 496, 2708, 236772, 3274, 2433, 568, 39952, 506, 59244, 779, 5484, 5428, 13805, 532, 21649, 607, 910, 45213, 531, 506, 11406, 568, 236744, 236761, 236759, 1126, 14507, 19034, 236764, 7266, 6555, 769, 6890, 496, 7100, 4299, 573, 50415, 236761, 138, 108, 7243, 108, 10354, 5213, 18373, 236772, 36161, 95450, 53121, 138, 107, 236772, 5213, 236775, 3243, 236772, 7032, 10765, 103118, 1083, 1018, 138, 107, 138, 3045, 9726, 7974, 13855, 1607, 10681, 236761, 135806, 1343, 14996, 600, 1594, 35135, 236858, 78485, 236764, 55138, 236858, 21649, 236764, 532, 16545, 236858, 11356, 236761, 13835, 3298, 573, 64224, 532, 12889, 14860, 236761, 138, 107, 236772, 5213, 236775, 231323, 900, 39432, 29785, 1083, 1018, 138, 107, 138, 34531, 5085, 236764, 4024, 2317, 10797, 1003, 506, 8288, 2434, 236858, 236751, 29685, 568, 236744, 236761, 236759, 1126, 27427, 61986, 236764, 3423, 236772, 28384, 4972, 236768, 532, 1217, 1546, 2939, 33235, 531, 2630, 236761, 138, 108, 7243, 108, 10354, 5213, 62554, 847, 573, 2343, 52901, 236786, 74356, 53121, 138, 107, 236772, 124205, 75255, 573, 15036, 6214, 568, 236744, 236761, 236759, 1126, 6268, 117644, 236764, 31878, 236772, 53759, 119083, 13599, 769, 138, 107, 236772, 46816, 623, 10639, 121050, 236775, 834, 11383, 740, 2056, 1607, 10681, 236761, 138, 107, 236772, 6890, 7426, 43910, 568, 236744, 236761, 236759, 1126, 36291, 529, 5484, 528, 2970, 236768, 531, 30463, 15154, 236761, 138, 108, 2094, 4313, 53717, 506, 5484, 236858, 13616, 1651, 10264, 506, 2460, 21931, 532, 12524, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 68657, 506, 33972, 653, 22888, 236888, 236743, 248207, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 5484, 699, 506, 3640, 4184, 3607, 236789, 236751, 4559, 18660, 2434, 573, 496, 3399, 2460, 564, 236789, 236757, 35447, 236761, 3199, 611, 2847, 496, 1694, 529, 1873, 5484, 532, 910, 10681, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 147004, 24865, 827, 623, 3473, 1083, 623, 42100, 25938, 107, 14937, 1201, 1083, 623, 151718, 138415, 4166, 827, 623, 3473, 1083, 623, 42100, 25938, 107, 14937, 1201, 1083, 623, 20020, 11644, 30704, 827, 623, 3473, 1083, 623, 54659, 25938, 107, 14937, 1201, 1083, 623, 236776, 236789, 2489, 16776, 827, 623, 3473, 1083, 623, 54659, 236786, 16409, 25938, 107, 14937, 1201, 1083, 623, 100203, 25393, 827, 623, 3473, 1083, 623, 42100, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 1873, 5484, 699, 506, 3640, 4184, 3607, 236789, 236751, 4559, 18660, 2434, 236787, 108, 236770, 236761, 5213, 147004, 24865, 1018, 753, 16758, 138, 107, 236778, 236761, 5213, 151718, 138415, 4166, 1018, 753, 16758, 138, 107, 236800, 236761, 5213, 20020, 11644, 30704, 1018, 753, 48447, 138, 107, 236812, 236761, 5213, 236776, 236789, 2489, 16776, 1018, 753, 48447, 236786, 16409, 138, 107, 236810, 236761, 5213, 100203, 25393, 1018, 753, 16758, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 4767, 4889, 653, 1601, 607, 4658, 1663, 573, 822, 2460, 236888, 106, 107, 105, 2364, 107, 8574, 611, 2847, 919, 9813, 1938, 1003, 1239, 5484, 236764, 1288, 618, 910, 1873, 7974, 532, 6334, 20756, 236881, 564, 1461, 531, 49523, 1023, 2460, 5085, 531, 8357, 910, 28386, 532, 29685, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 1982, 2802, 531, 4155, 62606, 653, 9813, 20183, 1343, 506, 2487, 6436, 236764, 618, 506, 5151, 1186, 2174, 1385, 11303, 684, 2891, 5853, 568, 236744, 236761, 236759, 1126, 623, 18038, 1373, 653, 1660, 3530, 4155, 62606, 573, 9813, 1262, 236761, 5612, 506, 6436, 1537, 236789, 236745, 1894, 19460, 684, 1463, 653, 67896, 62606, 699, 506, 6517, 1694, 236764, 564, 740, 236789, 236745, 12270, 4767, 4889, 1133, 1873, 7974, 653, 6334, 20756, 607, 506, 1873, 5904, 1025, 236761, 236743, 108, 3048, 2473, 1461, 531, 5370, 855, 531, 506, 2460, 54213, 653, 6618, 5125, 649, 84107, 236786, 18038, 55796, 7021, 573, 672, 1938, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 1032, 10217, 529, 822, 2460, 6995, 236888, 106, 107, 105, 2364, 107, 12879, 573, 106441, 506, 5904, 16305, 236888, 5612, 692, 740, 236789, 236745, 33205, 9813, 4155, 20183, 236764, 1451, 692, 5205, 78543, 9578, 4861, 531, 27968, 506, 5484, 236789, 10681, 1131, 1023, 2460, 5085, 236881, 1701, 2591, 236764, 25470, 12889, 14996, 600, 8357, 35135, 236789, 78485, 653, 55138, 236789, 21649, 8403, 236761, 564, 236858, 236753, 2765, 822, 2744, 580, 3043, 672, 21931, 573, 1023, 3399, 2299, 236888, 106, 107, 105, 4368, 107, 6372, 236858, 236751, 496, 14853, 4317, 236888, 3792, 236858, 236751, 1161, 506, 10681, 692, 735, 531, 2619, 21964, 236764, 12889, 236772, 5140, 5085, 600, 17159, 506, 4709, 28386, 529, 1546, 3853, 236761, 5715, 659, 1070, 9578, 19205, 36443, 531, 506, 10681, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 100957, 568, 147004, 24865, 236764, 45109, 138415, 4166, 236764, 28724, 25393, 62902, 138, 107, 1018, 15354, 53121, 3431, 1247, 236764, 11332, 236764, 532, 3823, 4893, 236772, 15992, 236761, 138, 107, 1018, 93035, 53121, 138, 107, 236772, 5213, 236775, 42100, 103118, 32115, 1083, 1018, 138, 107, 138, 3974, 872, 614, 33974, 3003, 607, 55816, 532, 119083, 13599, 75255, 236761, 60624, 7547, 531, 21332, 506, 3003, 1651, 119083, 13599, 236764, 1299, 4133, 496, 3605, 529, 15350, 16349, 531, 496, 3328, 568, 236744, 236761, 236759, 1126, 496, 59244, 653, 70942, 769, 7578, 1546, 32571, 531, 37837, 4249, 532, 18510, 236761, 138, 107, 236772, 5213, 236775, 78115, 9940, 497, 124991, 1083, 1018, 138, 107, 138, 125449, 4402, 1131, 7974, 529, 236743, 236800, 236964, 236810, 236761, 799, 496, 29791, 2557, 236764, 5484, 1921, 1786, 496, 4299, 13380, 2180, 111045, 568, 5282, 496, 623, 9341, 25852, 236775, 2290, 769, 118189, 1217, 35135, 40360, 528, 1494, 236772, 31700, 12983, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 1701, 3259, 568, 20020, 11644, 30704, 236764, 562, 236858, 2489, 16776, 62902, 138, 107, 1018, 15354, 53121, 187351, 58367, 236764, 199328, 236764, 532, 3998, 2025, 236761, 138, 107, 1018, 93035, 53121, 138, 107, 236772, 5213, 236775, 3900, 5227, 27773, 32115, 1083, 1018, 138, 107, 138, 6924, 623, 9341, 20874, 236775, 2101, 506, 4054, 568, 236744, 236761, 236759, 1126, 3107, 236772, 8572, 236764, 5453, 236772, 8572, 236764, 1806, 236772, 3947, 1757, 769, 60624, 6637, 3298, 573, 3043, 19034, 699, 1607, 20874, 236761, 13835, 16201, 3298, 573, 1699, 3530, 8403, 568, 236744, 236761, 236759, 1126, 496, 197621, 236764, 29625, 14968, 236764, 653, 9212, 5719, 769, 138, 107, 236772, 5213, 236775, 1479, 10633, 6065, 236786, 39900, 1083, 1018, 138, 107, 138, 10896, 496, 11528, 154534, 653, 23464, 59244, 531, 43928, 199328, 236761, 60624, 20811, 531, 14304, 506, 1346, 53632, 699, 15315, 19034, 236761, 56571, 1217, 55138, 41932, 506, 19059, 236888, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 48447, 236786, 16409, 568, 236776, 236858, 2489, 16776, 62902, 138, 107, 1018, 15354, 53121, 153119, 6130, 236764, 5719, 236772, 91844, 236764, 532, 4888, 21649, 236761, 138, 107, 1018, 93035, 53121, 138, 107, 236772, 5213, 236775, 4222, 4410, 12090, 115389, 1083, 1018, 138, 107, 138, 105279, 8324, 872, 236761, 3656, 21727, 531, 8363, 1651, 506, 1032, 6178, 2005, 25501, 45574, 568, 29103, 872, 236764, 6172, 6049, 236768, 531, 3355, 506, 5719, 236761, 135806, 13616, 532, 37837, 3998, 2025, 236761, 138, 107, 236772, 5213, 236775, 7118, 236772, 4674, 32115, 1083, 1018, 138, 107, 138, 902, 496, 2708, 236772, 3274, 2433, 568, 39952, 506, 59244, 779, 5484, 5428, 13805, 532, 21649, 607, 910, 45213, 531, 506, 11406, 568, 236744, 236761, 236759, 1126, 14507, 19034, 236764, 7266, 6555, 769, 6890, 496, 7100, 4299, 573, 50415, 236761, 138, 108, 7243, 108, 10354, 5213, 18373, 236772, 36161, 95450, 53121, 138, 107, 236772, 5213, 236775, 3243, 236772, 7032, 10765, 103118, 1083, 1018, 138, 107, 138, 3045, 9726, 7974, 13855, 1607, 10681, 236761, 135806, 1343, 14996, 600, 1594, 35135, 236858, 78485, 236764, 55138, 236858, 21649, 236764, 532, 16545, 236858, 11356, 236761, 13835, 3298, 573, 64224, 532, 12889, 14860, 236761, 138, 107, 236772, 5213, 236775, 231323, 900, 39432, 29785, 1083, 1018, 138, 107, 138, 34531, 5085, 236764, 4024, 2317, 10797, 1003, 506, 8288, 2434, 236858, 236751, 29685, 568, 236744, 236761, 236759, 1126, 27427, 61986, 236764, 3423, 236772, 28384, 4972, 236768, 532, 1217, 1546, 2939, 33235, 531, 2630, 236761, 138, 108, 7243, 108, 10354, 5213, 62554, 847, 573, 2343, 52901, 236786, 74356, 53121, 138, 107, 236772, 124205, 75255, 573, 15036, 6214, 568, 236744, 236761, 236759, 1126, 6268, 117644, 236764, 31878, 236772, 53759, 119083, 13599, 769, 138, 107, 236772, 46816, 623, 10639, 121050, 236775, 834, 11383, 740, 2056, 1607, 10681, 236761, 138, 107, 236772, 6890, 7426, 43910, 568, 236744, 236761, 236759, 1126, 36291, 529, 5484, 528, 2970, 236768, 531, 30463, 15154, 236761, 138, 108, 2094, 4313, 53717, 506, 5484, 236858, 13616, 1651, 10264, 506, 2460, 21931, 532, 12524, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 68657, 506, 33972, 653, 22888, 236888, 236743, 248207, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 4875, 531, 11327, 3195, 7760, 600, 8913, 607, 1041, 52724, 4122, 532, 15491, 37999, 236761, 28344, 611, 1601, 786, 1586, 912, 236772, 2289, 52724, 13616, 653, 2460, 15491, 9569, 528, 40876, 4085, 653, 14942, 4106, 1133, 36776, 31719, 236881, 564, 236789, 236757, 6412, 7467, 528, 10681, 600, 1550, 97460, 14361, 6130, 532, 2729, 14887, 39252, 2338, 564, 236789, 236757, 5633, 9204, 573, 981, 236761, 564, 236789, 236753, 2765, 531, 1460, 1144, 236789, 236751, 2487, 531, 1601, 786, 3707, 532, 7411, 2707, 1651, 3788, 1041, 1852, 8634, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14557, 236779, 52748, 1083, 78493, 3250, 1083, 623, 7783, 236772, 2866, 133806, 22083, 827, 623, 25385, 1083, 623, 84585, 133806, 8381, 827, 623, 7125, 1083, 623, 25429, 22402, 4085, 236764, 8253, 827, 623, 14557, 236779, 2084, 1083, 623, 1655, 236772, 2289, 827, 623, 53236, 236779, 5909, 1083, 623, 8482, 827, 623, 7777, 1083, 623, 132551, 607, 2780, 12652, 532, 2460, 10884, 573, 15818, 52724, 4749, 236761, 224350, 14361, 236786, 27832, 7283, 6130, 3149, 236761, 74961, 9735, 532, 9137, 24637, 2487, 10498, 623, 9458, 236779, 2883, 1083, 623, 2574, 1411, 8358, 30797, 236761, 854, 236786, 232832, 236770, 236778, 236800, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 1263, 3714, 3250, 1083, 623, 3500, 145049, 568, 156835, 831, 22730, 623, 25385, 1083, 623, 177285, 24246, 236751, 18605, 827, 623, 7125, 1083, 623, 97890, 31719, 236764, 8253, 827, 623, 14557, 236779, 2084, 1083, 623, 1655, 236772, 2289, 827, 623, 53236, 236779, 5909, 1083, 623, 8482, 827, 623, 7777, 1083, 623, 38833, 15491, 657, 56349, 532, 11961, 4749, 236761, 20360, 8988, 14361, 573, 4430, 7283, 236761, 28543, 5842, 3149, 236761, 27468, 2487, 58405, 532, 38025, 10498, 623, 9458, 236779, 2883, 1083, 623, 2574, 1411, 8358, 30797, 236761, 854, 236786, 14007, 236812, 236810, 236825, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236828, 1263, 3714, 3250, 1083, 623, 236799, 53300, 14361, 12209, 44396, 827, 623, 25385, 1083, 623, 6654, 204534, 11849, 31698, 827, 623, 7125, 1083, 623, 25429, 22402, 4085, 236764, 8253, 827, 623, 14557, 236779, 2084, 1083, 623, 1655, 236772, 2289, 827, 623, 53236, 236779, 5909, 1083, 623, 8482, 827, 623, 7777, 1083, 623, 55562, 33972, 573, 52724, 4749, 236761, 99423, 14361, 236786, 27832, 73666, 236761, 74961, 3885, 607, 3435, 573, 47854, 1913, 14680, 3409, 10498, 623, 9458, 236779, 2883, 1083, 623, 2574, 1411, 8358, 30797, 236761, 854, 236786, 5106, 236832, 236828, 236819, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236810, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 10479, 236779, 2003, 1083, 623, 500, 113458, 827, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 25429, 22402, 4085, 236764, 8253, 653, 36776, 31719, 236764, 8253, 827, 623, 14557, 236779, 2084, 1083, 623, 1655, 236772, 2289, 827, 623, 53236, 236779, 5909, 1083, 623, 8482, 827, 623, 41427, 1083, 623, 232832, 2460, 15491, 97460, 14361, 14887, 39252, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1070, 23284, 7760, 600, 8913, 607, 822, 52724, 4122, 236764, 15491, 10521, 236764, 97460, 6130, 236764, 532, 19142, 3548, 236787, 108, 1018, 8534, 145918, 53121, 107, 236770, 236761, 5213, 7783, 236772, 2866, 133806, 22083, 1018, 138, 107, 139, 236829, 84585, 133806, 8381, 236829, 568, 25429, 22402, 4085, 236764, 8253, 236768, 138, 107, 139, 236772, 19536, 11006, 15818, 52724, 4749, 607, 14887, 9735, 236786, 125067, 24637, 138, 107, 139, 236772, 5213, 236799, 53300, 14361, 236786, 27832, 3149, 1018, 138, 107, 139, 236772, 12518, 236787, 870, 6759, 5457, 2574, 1411, 8358, 30797, 236761, 854, 236786, 232832, 236770, 236778, 236800, 236768, 138, 108, 236778, 236761, 5213, 3500, 145049, 568, 156835, 831, 62902, 138, 107, 139, 236829, 177285, 24246, 236751, 18605, 236829, 568, 97890, 31719, 236764, 8253, 236768, 138, 107, 139, 236772, 48901, 573, 56349, 236786, 107556, 4749, 607, 9137, 236786, 197768, 15830, 138, 107, 139, 236772, 5213, 80353, 236772, 55952, 7391, 124406, 1018, 568, 931, 5842, 4354, 236768, 138, 107, 139, 236772, 12518, 236787, 870, 6759, 5457, 2574, 1411, 8358, 30797, 236761, 854, 236786, 14007, 236812, 236810, 236825, 236768, 138, 108, 236800, 236761, 5213, 236799, 53300, 14361, 12209, 44396, 1018, 138, 107, 139, 236829, 6654, 204534, 11849, 31698, 236829, 568, 25429, 22402, 4085, 236764, 8253, 236768, 138, 107, 139, 236772, 74812, 26937, 573, 52724, 4749, 607, 14887, 3885, 138, 107, 139, 236772, 5213, 80353, 236786, 27832, 138592, 3149, 1018, 138, 107, 139, 236772, 12518, 236787, 870, 6759, 5457, 2574, 1411, 8358, 30797, 236761, 854, 236786, 5106, 236832, 236828, 236819, 236768, 138, 108, 1018, 11355, 3143, 31389, 53121, 138, 107, 236772, 2343, 56856, 5213, 236763, 53300, 7283, 1018, 568, 236746, 2307, 6332, 611, 6950, 236768, 138, 107, 236772, 46816, 5213, 132457, 39252, 1018, 2101, 822, 9204, 981, 138, 107, 236772, 70535, 5213, 232832, 2707, 1018, 607, 5213, 50694, 236786, 5106, 236772, 5140, 15491, 1018, 7760, 138, 107, 236772, 45941, 528, 822, 3328, 4106, 568, 25429, 22402, 4085, 236786, 97890, 31719, 236768, 138, 108, 3810, 659, 236743, 236770, 236832, 2558, 912, 236772, 2289, 13616, 16590, 822, 13138, 236761, 21284, 611, 1133, 531, 59638, 672, 3927, 3342, 568, 236744, 236761, 236759, 1126, 3213, 919, 580, 15491, 236764, 5957, 684, 3530, 2668, 236786, 24392, 236764, 653, 1460, 3715, 236772, 53236, 13616, 20625, 564, 236789, 236753, 992, 577, 5293, 531, 1601, 12262, 496, 97460, 236772, 41889, 21205, 653, 2890, 6064, 36443, 531, 1239, 10681, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 4875, 531, 11327, 3195, 7760, 600, 8913, 607, 1041, 52724, 4122, 532, 15491, 37999, 236761, 28344, 611, 1601, 786, 1586, 912, 236772, 2289, 52724, 13616, 653, 2460, 15491, 9569, 528, 40876, 4085, 653, 14942, 4106, 1133, 36776, 31719, 236881, 564, 236789, 236757, 6412, 7467, 528, 10681, 600, 1550, 97460, 14361, 6130, 532, 2729, 14887, 39252, 2338, 564, 236789, 236757, 5633, 9204, 573, 981, 236761, 564, 236789, 236753, 2765, 531, 1460, 1144, 236789, 236751, 2487, 531, 1601, 786, 3707, 532, 7411, 2707, 1651, 3788, 1041, 1852, 8634, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14557, 236779, 52748, 1083, 78493, 3250, 1083, 623, 7783, 236772, 2866, 133806, 22083, 827, 623, 25385, 1083, 623, 84585, 133806, 8381, 827, 623, 7125, 1083, 623, 25429, 22402, 4085, 236764, 8253, 827, 623, 14557, 236779, 2084, 1083, 623, 1655, 236772, 2289, 827, 623, 53236, 236779, 5909, 1083, 623, 8482, 827, 623, 7777, 1083, 623, 132551, 607, 2780, 12652, 532, 2460, 10884, 573, 15818, 52724, 4749, 236761, 224350, 14361, 236786, 27832, 7283, 6130, 3149, 236761, 74961, 9735, 532, 9137, 24637, 2487, 10498, 623, 9458, 236779, 2883, 1083, 623, 2574, 1411, 8358, 30797, 236761, 854, 236786, 232832, 236770, 236778, 236800, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 1263, 3714, 3250, 1083, 623, 3500, 145049, 568, 156835, 831, 22730, 623, 25385, 1083, 623, 177285, 24246, 236751, 18605, 827, 623, 7125, 1083, 623, 97890, 31719, 236764, 8253, 827, 623, 14557, 236779, 2084, 1083, 623, 1655, 236772, 2289, 827, 623, 53236, 236779, 5909, 1083, 623, 8482, 827, 623, 7777, 1083, 623, 38833, 15491, 657, 56349, 532, 11961, 4749, 236761, 20360, 8988, 14361, 573, 4430, 7283, 236761, 28543, 5842, 3149, 236761, 27468, 2487, 58405, 532, 38025, 10498, 623, 9458, 236779, 2883, 1083, 623, 2574, 1411, 8358, 30797, 236761, 854, 236786, 14007, 236812, 236810, 236825, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236828, 1263, 3714, 3250, 1083, 623, 236799, 53300, 14361, 12209, 44396, 827, 623, 25385, 1083, 623, 6654, 204534, 11849, 31698, 827, 623, 7125, 1083, 623, 25429, 22402, 4085, 236764, 8253, 827, 623, 14557, 236779, 2084, 1083, 623, 1655, 236772, 2289, 827, 623, 53236, 236779, 5909, 1083, 623, 8482, 827, 623, 7777, 1083, 623, 55562, 33972, 573, 52724, 4749, 236761, 99423, 14361, 236786, 27832, 73666, 236761, 74961, 3885, 607, 3435, 573, 47854, 1913, 14680, 3409, 10498, 623, 9458, 236779, 2883, 1083, 623, 2574, 1411, 8358, 30797, 236761, 854, 236786, 5106, 236832, 236828, 236819, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236810, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 10479, 236779, 2003, 1083, 623, 500, 113458, 827, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 25429, 22402, 4085, 236764, 8253, 653, 36776, 31719, 236764, 8253, 827, 623, 14557, 236779, 2084, 1083, 623, 1655, 236772, 2289, 827, 623, 53236, 236779, 5909, 1083, 623, 8482, 827, 623, 41427, 1083, 623, 232832, 2460, 15491, 97460, 14361, 14887, 39252, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1070, 23284, 7760, 600, 8913, 607, 822, 52724, 4122, 236764, 15491, 10521, 236764, 97460, 6130, 236764, 532, 19142, 3548, 236787, 108, 1018, 8534, 145918, 53121, 107, 236770, 236761, 5213, 7783, 236772, 2866, 133806, 22083, 1018, 138, 107, 139, 236829, 84585, 133806, 8381, 236829, 568, 25429, 22402, 4085, 236764, 8253, 236768, 138, 107, 139, 236772, 19536, 11006, 15818, 52724, 4749, 607, 14887, 9735, 236786, 125067, 24637, 138, 107, 139, 236772, 5213, 236799, 53300, 14361, 236786, 27832, 3149, 1018, 138, 107, 139, 236772, 12518, 236787, 870, 6759, 5457, 2574, 1411, 8358, 30797, 236761, 854, 236786, 232832, 236770, 236778, 236800, 236768, 138, 108, 236778, 236761, 5213, 3500, 145049, 568, 156835, 831, 62902, 138, 107, 139, 236829, 177285, 24246, 236751, 18605, 236829, 568, 97890, 31719, 236764, 8253, 236768, 138, 107, 139, 236772, 48901, 573, 56349, 236786, 107556, 4749, 607, 9137, 236786, 197768, 15830, 138, 107, 139, 236772, 5213, 80353, 236772, 55952, 7391, 124406, 1018, 568, 931, 5842, 4354, 236768, 138, 107, 139, 236772, 12518, 236787, 870, 6759, 5457, 2574, 1411, 8358, 30797, 236761, 854, 236786, 14007, 236812, 236810, 236825, 236768, 138, 108, 236800, 236761, 5213, 236799, 53300, 14361, 12209, 44396, 1018, 138, 107, 139, 236829, 6654, 204534, 11849, 31698, 236829, 568, 25429, 22402, 4085, 236764, 8253, 236768, 138, 107, 139, 236772, 74812, 26937, 573, 52724, 4749, 607, 14887, 3885, 138, 107, 139, 236772, 5213, 80353, 236786, 27832, 138592, 3149, 1018, 138, 107, 139, 236772, 12518, 236787, 870, 6759, 5457, 2574, 1411, 8358, 30797, 236761, 854, 236786, 5106, 236832, 236828, 236819, 236768, 138, 108, 1018, 11355, 3143, 31389, 53121, 138, 107, 236772, 2343, 56856, 5213, 236763, 53300, 7283, 1018, 568, 236746, 2307, 6332, 611, 6950, 236768, 138, 107, 236772, 46816, 5213, 132457, 39252, 1018, 2101, 822, 9204, 981, 138, 107, 236772, 70535, 5213, 232832, 2707, 1018, 607, 5213, 50694, 236786, 5106, 236772, 5140, 15491, 1018, 7760, 138, 107, 236772, 45941, 528, 822, 3328, 4106, 568, 25429, 22402, 4085, 236786, 97890, 31719, 236768, 138, 108, 3810, 659, 236743, 236770, 236832, 2558, 912, 236772, 2289, 13616, 16590, 822, 13138, 236761, 21284, 611, 1133, 531, 59638, 672, 3927, 3342, 568, 236744, 236761, 236759, 1126, 3213, 919, 580, 15491, 236764, 5957, 684, 3530, 2668, 236786, 24392, 236764, 653, 1460, 3715, 236772, 53236, 13616, 20625, 564, 236789, 236753, 992, 577, 5293, 531, 1601, 12262, 496, 97460, 236772, 41889, 21205, 653, 2890, 6064, 36443, 531, 1239, 10681, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 27893, 7946, 607, 4690, 531, 69227, 4025, 4556, 532, 1202, 1601, 35447, 625, 236761, 5315, 236764, 740, 611, 1161, 506, 2676, 629, 5829, 2305, 5904, 531, 974, 506, 4453, 15375, 532, 45047, 3421, 573, 506, 1689, 16825, 529, 69227, 4025, 4556, 236881, 9920, 611, 735, 600, 1938, 236764, 564, 236789, 236753, 1133, 611, 531, 2619, 496, 14626, 2460, 573, 2148, 8224, 657, 236743, 236819, 236787, 236771, 236771, 8151, 607, 506, 2460, 4563, 1076, 531, 1724, 15375, 532, 3421, 4889, 236761, 669, 2460, 1374, 3204, 496, 236743, 236800, 236772, 13807, 12032, 236764, 496, 32272, 1076, 573, 236743, 236770, 1719, 4487, 236764, 532, 496, 6492, 28830, 692, 236789, 859, 2874, 657, 506, 51320, 4721, 3541, 506, 32801, 3988, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 1083, 623, 236800, 236832, 236761, 236778, 236819, 236828, 236828, 827, 623, 41713, 1083, 9296, 236770, 236770, 236778, 236761, 236819, 236810, 236810, 236810, 827, 623, 4971, 236779, 1201, 1083, 623, 236953, 526, 4025, 4556, 6400, 98595, 236764, 236743, 236770, 236832, 236810, 236771, 69227, 4556, 56258, 236764, 8715, 27135, 236764, 7693, 5796, 236764, 26516, 236764, 236743, 236828, 236812, 236832, 236825, 236832, 236764, 3640, 4184, 529, 5711, 827, 623, 7720, 1083, 3714, 26567, 1083, 623, 236953, 526, 4025, 4556, 827, 623, 7967, 1083, 623, 236953, 526, 4556, 56258, 827, 623, 13319, 1083, 623, 13743, 27135, 827, 623, 78660, 1083, 623, 42804, 5796, 827, 623, 3255, 1083, 623, 155063, 827, 623, 3274, 3970, 1083, 623, 236828, 236812, 236832, 236825, 236832, 827, 623, 14801, 1083, 623, 27211, 4184, 529, 5711, 23179, 623, 21409, 183602, 1083, 3714, 1201, 1083, 623, 236953, 526, 4025, 4556, 827, 623, 56488, 236779, 1201, 1083, 623, 236953, 526, 4025, 4556, 827, 623, 15721, 236779, 1201, 1083, 623, 236953, 526, 40098, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5106, 236779, 547, 1083, 623, 22486, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 4818, 1083, 623, 144376, 827, 623, 5106, 236779, 1201, 1083, 623, 181887, 34960, 531, 69227, 4025, 4556, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 7125, 1083, 623, 236953, 526, 4025, 4556, 6400, 98595, 568, 236800, 236832, 236761, 236778, 236819, 236828, 236828, 236785, 236756, 236771, 236771, 236763, 236771, 236797, 236764, 753, 236770, 236770, 236778, 236761, 236819, 236810, 236810, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236824, 1473, 236743, 236770, 236832, 236810, 236771, 69227, 4556, 56258, 236764, 8715, 27135, 236764, 26516, 236743, 236828, 236812, 236832, 236825, 236832, 827, 623, 2184, 70593, 1083, 78493, 8889, 1083, 623, 6774, 827, 623, 38466, 236779, 15849, 1083, 236743, 236770, 236812, 236812, 236771, 104960, 623, 7777, 1083, 623, 63947, 657, 506, 51320, 4721, 3541, 506, 32801, 3988, 573, 69227, 4025, 4556, 27893, 7946, 1781, 236783, 106, 107, 105, 4368, 107, 11069, 27893, 7946, 531, 69227, 4025, 4556, 815, 1010, 10428, 13957, 236888, 5715, 236789, 236751, 506, 26093, 236787, 108, 244343, 5213, 3500, 21617, 53121, 138, 107, 236953, 526, 4025, 4556, 6400, 98595, 568, 236800, 236832, 236761, 236778, 236819, 236828, 236828, 237366, 236797, 236764, 753, 236770, 236770, 236778, 236761, 236819, 236810, 236810, 236810, 237366, 236824, 236768, 138, 107, 236770, 236832, 236810, 236771, 69227, 4556, 56258, 236764, 8715, 27135, 236764, 26516, 236743, 236828, 236812, 236832, 236825, 236832, 138, 108, 249460, 5213, 3500, 20303, 53121, 138, 107, 1018, 1567, 53121, 134937, 34960, 531, 69227, 4025, 4556, 138, 107, 1018, 3682, 53121, 8224, 236764, 6198, 236743, 236832, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 1018, 2866, 53121, 236743, 236819, 236787, 236771, 236771, 8151, 1271, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 568, 236800, 236772, 13807, 12032, 236768, 138, 107, 1018, 219455, 53121, 19955, 32272, 3265, 236743, 236770, 1719, 4487, 568, 36817, 236743, 236825, 236768, 138, 108, 245305, 5213, 9770, 53121, 138, 107, 236775, 63947, 657, 506, 51320, 4721, 3541, 506, 32801, 3988, 573, 69227, 4025, 4556, 27893, 7946, 1781, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 2460, 4889, 653, 1202, 4767, 1601, 607, 822, 7946, 6995, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 27893, 7946, 607, 4690, 531, 69227, 4025, 4556, 532, 1202, 1601, 35447, 625, 236761, 5315, 236764, 740, 611, 1161, 506, 2676, 629, 5829, 2305, 5904, 531, 974, 506, 4453, 15375, 532, 45047, 3421, 573, 506, 1689, 16825, 529, 69227, 4025, 4556, 236881, 9920, 611, 735, 600, 1938, 236764, 564, 236789, 236753, 1133, 611, 531, 2619, 496, 14626, 2460, 573, 2148, 8224, 657, 236743, 236819, 236787, 236771, 236771, 8151, 607, 506, 2460, 4563, 1076, 531, 1724, 15375, 532, 3421, 4889, 236761, 669, 2460, 1374, 3204, 496, 236743, 236800, 236772, 13807, 12032, 236764, 496, 32272, 1076, 573, 236743, 236770, 1719, 4487, 236764, 532, 496, 6492, 28830, 692, 236789, 859, 2874, 657, 506, 51320, 4721, 3541, 506, 32801, 3988, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 1083, 623, 236800, 236832, 236761, 236778, 236819, 236828, 236828, 827, 623, 41713, 1083, 9296, 236770, 236770, 236778, 236761, 236819, 236810, 236810, 236810, 827, 623, 4971, 236779, 1201, 1083, 623, 236953, 526, 4025, 4556, 6400, 98595, 236764, 236743, 236770, 236832, 236810, 236771, 69227, 4556, 56258, 236764, 8715, 27135, 236764, 7693, 5796, 236764, 26516, 236764, 236743, 236828, 236812, 236832, 236825, 236832, 236764, 3640, 4184, 529, 5711, 827, 623, 7720, 1083, 3714, 26567, 1083, 623, 236953, 526, 4025, 4556, 827, 623, 7967, 1083, 623, 236953, 526, 4556, 56258, 827, 623, 13319, 1083, 623, 13743, 27135, 827, 623, 78660, 1083, 623, 42804, 5796, 827, 623, 3255, 1083, 623, 155063, 827, 623, 3274, 3970, 1083, 623, 236828, 236812, 236832, 236825, 236832, 827, 623, 14801, 1083, 623, 27211, 4184, 529, 5711, 23179, 623, 21409, 183602, 1083, 3714, 1201, 1083, 623, 236953, 526, 4025, 4556, 827, 623, 56488, 236779, 1201, 1083, 623, 236953, 526, 4025, 4556, 827, 623, 15721, 236779, 1201, 1083, 623, 236953, 526, 40098, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5106, 236779, 547, 1083, 623, 22486, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 4818, 1083, 623, 144376, 827, 623, 5106, 236779, 1201, 1083, 623, 181887, 34960, 531, 69227, 4025, 4556, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 7125, 1083, 623, 236953, 526, 4025, 4556, 6400, 98595, 568, 236800, 236832, 236761, 236778, 236819, 236828, 236828, 236785, 236756, 236771, 236771, 236763, 236771, 236797, 236764, 753, 236770, 236770, 236778, 236761, 236819, 236810, 236810, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236824, 1473, 236743, 236770, 236832, 236810, 236771, 69227, 4556, 56258, 236764, 8715, 27135, 236764, 26516, 236743, 236828, 236812, 236832, 236825, 236832, 827, 623, 2184, 70593, 1083, 78493, 8889, 1083, 623, 6774, 827, 623, 38466, 236779, 15849, 1083, 236743, 236770, 236812, 236812, 236771, 104960, 623, 7777, 1083, 623, 63947, 657, 506, 51320, 4721, 3541, 506, 32801, 3988, 573, 69227, 4025, 4556, 27893, 7946, 1781, 236783, 106, 107, 105, 4368, 107, 11069, 27893, 7946, 531, 69227, 4025, 4556, 815, 1010, 10428, 13957, 236888, 5715, 236789, 236751, 506, 26093, 236787, 108, 244343, 5213, 3500, 21617, 53121, 138, 107, 236953, 526, 4025, 4556, 6400, 98595, 568, 236800, 236832, 236761, 236778, 236819, 236828, 236828, 237366, 236797, 236764, 753, 236770, 236770, 236778, 236761, 236819, 236810, 236810, 236810, 237366, 236824, 236768, 138, 107, 236770, 236832, 236810, 236771, 69227, 4556, 56258, 236764, 8715, 27135, 236764, 26516, 236743, 236828, 236812, 236832, 236825, 236832, 138, 108, 249460, 5213, 3500, 20303, 53121, 138, 107, 1018, 1567, 53121, 134937, 34960, 531, 69227, 4025, 4556, 138, 107, 1018, 3682, 53121, 8224, 236764, 6198, 236743, 236832, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 1018, 2866, 53121, 236743, 236819, 236787, 236771, 236771, 8151, 1271, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 568, 236800, 236772, 13807, 12032, 236768, 138, 107, 1018, 219455, 53121, 19955, 32272, 3265, 236743, 236770, 1719, 4487, 568, 36817, 236743, 236825, 236768, 138, 108, 245305, 5213, 9770, 53121, 138, 107, 236775, 63947, 657, 506, 51320, 4721, 3541, 506, 32801, 3988, 573, 69227, 4025, 4556, 27893, 7946, 1781, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 2460, 4889, 653, 1202, 4767, 1601, 607, 822, 7946, 6995, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 2847, 506, 236743, 236825, 3794, 2862, 1262, 573, 9593, 532, 506, 40732, 573, 506, 5246, 1204, 2590, 236771, 236778, 236800, 236770, 236800, 236810, 236770, 236771, 236825, 236832, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 33205, 506, 2862, 1262, 573, 9593, 568, 1936, 89387, 236768, 532, 2426, 506, 30627, 4083, 573, 506, 5246, 1204, 2590, 236771, 236778, 236800, 236770, 236800, 236810, 236770, 236771, 236825, 236832, 236761, 3792, 786, 2541, 672, 1679, 236787, 108, 236770, 236761, 5213, 39460, 568, 1936, 89387, 236768, 236743, 236825, 236772, 11283, 2862, 1262, 53121, 107, 139, 236777, 740, 33205, 672, 1699, 4867, 1262, 56918, 236761, 669, 2862, 84390, 5404, 573, 9593, 563, 8151, 89387, 236761, 108, 236778, 236761, 5213, 83715, 2068, 573, 5246, 1204, 2590, 236771, 236778, 236800, 236770, 236800, 236810, 236770, 236771, 236825, 236832, 53121, 107, 139, 2094, 5246, 1204, 17671, 531, 9593, 568, 1936, 89387, 236768, 3364, 2862, 236761, 3153, 236764, 625, 236789, 236751, 2132, 531, 5433, 600, 9593, 815, 711, 41063, 6382, 40732, 236764, 618, 506, 2544, 815, 122569, 524, 17785, 1063, 1131, 506, 1960, 4319, 1082, 30016, 1091, 531, 34676, 236761, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236772, 91820, 506, 8151, 89387, 2862, 3385, 4083, 573, 506, 3068, 236743, 236825, 3794, 236881, 107, 236772, 64063, 506, 30627, 4083, 568, 7650, 563, 4547, 7738, 236768, 573, 672, 5246, 1204, 236881, 108, 236777, 740, 7162, 607, 506, 2862, 1262, 6842, 236761, 1701, 40732, 236764, 1651, 564, 740, 35886, 2426, 1699, 506, 5246, 1204, 236764, 506, 1354, 795, 4180, 8454, 1407, 951, 30627, 13192, 2779, 531, 9593, 236789, 236751, 6697, 4957, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 2847, 506, 236743, 236825, 3794, 2862, 1262, 573, 9593, 532, 506, 40732, 573, 506, 5246, 1204, 2590, 236771, 236778, 236800, 236770, 236800, 236810, 236770, 236771, 236825, 236832, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 33205, 506, 2862, 1262, 573, 9593, 568, 1936, 89387, 236768, 532, 2426, 506, 30627, 4083, 573, 506, 5246, 1204, 2590, 236771, 236778, 236800, 236770, 236800, 236810, 236770, 236771, 236825, 236832, 236761, 3792, 786, 2541, 672, 1679, 236787, 108, 236770, 236761, 5213, 39460, 568, 1936, 89387, 236768, 236743, 236825, 236772, 11283, 2862, 1262, 53121, 107, 139, 236777, 740, 33205, 672, 1699, 4867, 1262, 56918, 236761, 669, 2862, 84390, 5404, 573, 9593, 563, 8151, 89387, 236761, 108, 236778, 236761, 5213, 83715, 2068, 573, 5246, 1204, 2590, 236771, 236778, 236800, 236770, 236800, 236810, 236770, 236771, 236825, 236832, 53121, 107, 139, 2094, 5246, 1204, 17671, 531, 9593, 568, 1936, 89387, 236768, 3364, 2862, 236761, 3153, 236764, 625, 236789, 236751, 2132, 531, 5433, 600, 9593, 815, 711, 41063, 6382, 40732, 236764, 618, 506, 2544, 815, 122569, 524, 17785, 1063, 1131, 506, 1960, 4319, 1082, 30016, 1091, 531, 34676, 236761, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236772, 91820, 506, 8151, 89387, 2862, 3385, 4083, 573, 506, 3068, 236743, 236825, 3794, 236881, 107, 236772, 64063, 506, 30627, 4083, 568, 7650, 563, 4547, 7738, 236768, 573, 672, 5246, 1204, 236881, 108, 236777, 740, 7162, 607, 506, 2862, 1262, 6842, 236761, 1701, 40732, 236764, 1651, 564, 740, 35886, 2426, 1699, 506, 5246, 1204, 236764, 506, 1354, 795, 4180, 8454, 1407, 951, 30627, 13192, 2779, 531, 9593, 236789, 236751, 6697, 4957, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 5811, 855, 506, 2157, 573, 496, 861, 5904, 564, 1202, 573, 1041, 154213, 2203, 236761, 669, 12040, 3189, 564, 735, 531, 8974, 672, 31359, 4901, 236787, 1123, 238131, 753, 236743, 236810, 236781, 900, 236743, 236825, 578, 236743, 236771, 236761, 4298, 236764, 564, 1461, 531, 9279, 496, 236743, 236770, 236810, 236908, 6508, 580, 506, 6268, 3465, 618, 768, 625, 964, 506, 4500, 2886, 573, 496, 19971, 236761, 3199, 611, 1601, 786, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 95526, 1083, 870, 236778, 236764, 236743, 236800, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18320, 236779, 13304, 1083, 236743, 236771, 236761, 236812, 236810, 236783, 106, 107, 105, 4368, 107, 818, 5434, 531, 506, 31359, 4901, 609, 236781, 236884, 236778, 753, 236743, 236810, 236781, 900, 236743, 236825, 578, 236743, 236771, 236795, 659, 5213, 236778, 1018, 532, 5213, 236800, 84750, 669, 6268, 3465, 563, 5213, 236800, 84750, 108, 153137, 496, 236743, 236770, 236810, 236908, 6508, 580, 609, 236800, 568, 1437, 6268, 3465, 236768, 5021, 496, 6508, 2886, 529, 5213, 236795, 236771, 236761, 236812, 236810, 84750, 108, 1018, 17667, 25685, 66515, 138, 107, 236772, 208259, 5434, 236787, 236743, 236778, 236764, 236743, 236800, 138, 107, 236772, 42272, 2886, 236787, 5213, 236795, 236771, 236761, 236812, 236810, 1018, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5811, 855, 506, 2157, 573, 496, 861, 5904, 564, 1202, 573, 1041, 154213, 2203, 236761, 669, 12040, 3189, 564, 735, 531, 8974, 672, 31359, 4901, 236787, 1123, 238131, 753, 236743, 236810, 236781, 900, 236743, 236825, 578, 236743, 236771, 236761, 4298, 236764, 564, 1461, 531, 9279, 496, 236743, 236770, 236810, 236908, 6508, 580, 506, 6268, 3465, 618, 768, 625, 964, 506, 4500, 2886, 573, 496, 19971, 236761, 3199, 611, 1601, 786, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 95526, 1083, 870, 236778, 236764, 236743, 236800, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18320, 236779, 13304, 1083, 236743, 236771, 236761, 236812, 236810, 236783, 106, 107, 105, 4368, 107, 818, 5434, 531, 506, 31359, 4901, 609, 236781, 236884, 236778, 753, 236743, 236810, 236781, 900, 236743, 236825, 578, 236743, 236771, 236795, 659, 5213, 236778, 1018, 532, 5213, 236800, 84750, 669, 6268, 3465, 563, 5213, 236800, 84750, 108, 153137, 496, 236743, 236770, 236810, 236908, 6508, 580, 609, 236800, 568, 1437, 6268, 3465, 236768, 5021, 496, 6508, 2886, 529, 5213, 236795, 236771, 236761, 236812, 236810, 84750, 108, 1018, 17667, 25685, 66515, 138, 107, 236772, 208259, 5434, 236787, 236743, 236778, 236764, 236743, 236800, 138, 107, 236772, 42272, 2886, 236787, 5213, 236795, 236771, 236761, 236812, 236810, 1018, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 18840, 506, 27078, 529, 1816, 236761, 1701, 22479, 22344, 236764, 611, 2473, 1461, 531, 1161, 496, 4301, 2509, 653, 32579, 4456, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 4658, 1663, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 18840, 506, 27078, 529, 1816, 236761, 1701, 22479, 22344, 236764, 611, 2473, 1461, 531, 1161, 496, 4301, 2509, 653, 32579, 4456, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 4658, 1663, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 236789, 236757, 4875, 531, 4024, 496, 27893, 13234, 4187, 573, 506, 7383, 169313, 4025, 13988, 607, 1041, 31887, 236761, 564, 735, 506, 10739, 35509, 528, 3225, 236825, 236812, 236764, 840, 564, 740, 236789, 236745, 5630, 1217, 531, 39961, 625, 236761, 669, 3225, 236825, 236812, 2483, 563, 756, 236746, 17372, 236771, 236755, 42025, 236825, 38822, 236819, 236800, 236753, 236800, 55673, 236749, 148929, 236798, 4565, 236778, 236798, 236778, 236781, 19474, 236800, 7670, 127457, 22467, 12473, 236752, 21232, 236917, 236863, 236778, 236746, 127205, 236800, 236798, 236778, 24210, 236763, 4565, 601, 236824, 236810, 236749, 236798, 80330, 236771, 236763, 236935, 1224, 6748, 28344, 611, 39961, 625, 573, 786, 532, 1299, 8729, 496, 44426, 3393, 600, 9851, 531, 600, 10739, 236881, 2981, 1595, 236764, 564, 740, 1887, 625, 855, 532, 2247, 625, 607, 506, 11285, 4187, 564, 236789, 236757, 2844, 580, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 99823, 236779, 2383, 1083, 623, 2574, 1411, 2769, 236761, 236749, 975, 236761, 12561, 236786, 236752, 3330, 236786, 675, 1309, 700, 37620, 236786, 181138, 236761, 3185, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 236779, 2451, 1083, 623, 2574, 1411, 3677, 236761, 117129, 3677, 236761, 854, 236786, 48203, 236786, 236832, 236917, 236819, 236855, 236778, 236798, 236761, 5067, 827, 623, 4818, 1083, 623, 19631, 827, 623, 99823, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 236749, 975, 236761, 12561, 236786, 236752, 3330, 236786, 675, 1309, 700, 37620, 236786, 181138, 236761, 3185, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 64686, 10739, 532, 506, 7835, 44426, 3393, 573, 822, 27893, 13234, 4187, 236787, 108, 1018, 8724, 10243, 10739, 53121, 138, 107, 236929, 2574, 1411, 2769, 236761, 236749, 975, 236761, 12561, 236786, 236752, 3330, 236786, 675, 1309, 700, 37620, 236786, 181138, 236761, 3185, 236929, 108, 1018, 38943, 8739, 53121, 138, 107, 236840, 5147, 1590, 531, 1927, 236786, 19294, 506, 44426, 3393, 5457, 2574, 1411, 3677, 236761, 117129, 3677, 236761, 854, 236786, 48203, 236786, 236832, 236917, 236819, 236855, 236778, 236798, 236761, 5067, 236768, 108, 2094, 44426, 3393, 9851, 5467, 531, 506, 7383, 169313, 4025, 13988, 27893, 1938, 3104, 236761, 1599, 740, 1887, 625, 855, 532, 6727, 625, 607, 822, 11285, 4187, 618, 13015, 236888, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 236789, 236757, 4875, 531, 4024, 496, 27893, 13234, 4187, 573, 506, 7383, 169313, 4025, 13988, 607, 1041, 31887, 236761, 564, 735, 506, 10739, 35509, 528, 3225, 236825, 236812, 236764, 840, 564, 740, 236789, 236745, 5630, 1217, 531, 39961, 625, 236761, 669, 3225, 236825, 236812, 2483, 563, 756, 236746, 17372, 236771, 236755, 42025, 236825, 38822, 236819, 236800, 236753, 236800, 55673, 236749, 148929, 236798, 4565, 236778, 236798, 236778, 236781, 19474, 236800, 7670, 127457, 22467, 12473, 236752, 21232, 236917, 236863, 236778, 236746, 127205, 236800, 236798, 236778, 24210, 236763, 4565, 601, 236824, 236810, 236749, 236798, 80330, 236771, 236763, 236935, 1224, 6748, 28344, 611, 39961, 625, 573, 786, 532, 1299, 8729, 496, 44426, 3393, 600, 9851, 531, 600, 10739, 236881, 2981, 1595, 236764, 564, 740, 1887, 625, 855, 532, 2247, 625, 607, 506, 11285, 4187, 564, 236789, 236757, 2844, 580, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 99823, 236779, 2383, 1083, 623, 2574, 1411, 2769, 236761, 236749, 975, 236761, 12561, 236786, 236752, 3330, 236786, 675, 1309, 700, 37620, 236786, 181138, 236761, 3185, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 236779, 2451, 1083, 623, 2574, 1411, 3677, 236761, 117129, 3677, 236761, 854, 236786, 48203, 236786, 236832, 236917, 236819, 236855, 236778, 236798, 236761, 5067, 827, 623, 4818, 1083, 623, 19631, 827, 623, 99823, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 236749, 975, 236761, 12561, 236786, 236752, 3330, 236786, 675, 1309, 700, 37620, 236786, 181138, 236761, 3185, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 64686, 10739, 532, 506, 7835, 44426, 3393, 573, 822, 27893, 13234, 4187, 236787, 108, 1018, 8724, 10243, 10739, 53121, 138, 107, 236929, 2574, 1411, 2769, 236761, 236749, 975, 236761, 12561, 236786, 236752, 3330, 236786, 675, 1309, 700, 37620, 236786, 181138, 236761, 3185, 236929, 108, 1018, 38943, 8739, 53121, 138, 107, 236840, 5147, 1590, 531, 1927, 236786, 19294, 506, 44426, 3393, 5457, 2574, 1411, 3677, 236761, 117129, 3677, 236761, 854, 236786, 48203, 236786, 236832, 236917, 236819, 236855, 236778, 236798, 236761, 5067, 236768, 108, 2094, 44426, 3393, 9851, 5467, 531, 506, 7383, 169313, 4025, 13988, 27893, 1938, 3104, 236761, 1599, 740, 1887, 625, 855, 532, 6727, 625, 607, 822, 11285, 4187, 618, 13015, 236888, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236761, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 12498, 236772, 24333, 236764, 564, 236789, 236757, 6995, 600, 41512, 13251, 4085, 7363, 1610, 7946, 564, 236789, 560, 1010, 67301, 1003, 236761, 3199, 611, 2426, 1144, 33485, 6035, 564, 1202, 531, 12141, 1003, 618, 496, 2590, 26396, 236881, 564, 1537, 236789, 236745, 1461, 1070, 1774, 236772, 20353, 48365, 21837, 1556, 16711, 1041, 19063, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 110894, 236779, 15979, 1083, 2416, 236764, 623, 36217, 236779, 19001, 1083, 623, 236770, 236828, 236771, 2668, 827, 623, 41907, 1083, 623, 185954, 5085, 1186, 236764, 951, 11155, 653, 6382, 981, 827, 623, 14210, 1083, 623, 3118, 11838, 18154, 531, 13251, 573, 20623, 776, 711, 1660, 496, 33485, 840, 1921, 735, 496, 4341, 34558, 236761, 31246, 9128, 7234, 6035, 607, 5125, 3251, 7021, 1680, 4301, 1781, 236783, 106, 107, 105, 4368, 107, 2205, 496, 2590, 26396, 6995, 822, 13251, 4085, 7363, 1610, 19063, 236764, 1590, 236789, 236751, 506, 1535, 4668, 236787, 138, 108, 1018, 3771, 33485, 563, 3149, 1018, 573, 20623, 8616, 236888, 204906, 138, 107, 236772, 1599, 740, 4196, 872, 531, 5213, 236770, 236828, 236771, 2668, 1018, 138, 107, 236772, 45600, 1921, 577, 5213, 9181, 236772, 62473, 1018, 568, 1904, 6382, 981, 236768, 138, 107, 236772, 31246, 6081, 496, 5213, 4730, 34558, 1018, 138, 108, 1489, 6508, 236787, 5978, 506, 5904, 44898, 951, 33485, 563, 4354, 236764, 625, 236789, 236751, 21608, 531, 3972, 236772, 4256, 7234, 6035, 607, 5125, 7021, 1133, 506, 870, 3118, 5570, 529, 3245, 5457, 2574, 1411, 43201, 236761, 3255, 236761, 12561, 31004, 653, 26135, 34126, 11787, 1680, 27197, 236761, 5180, 41512, 7946, 563, 1535, 531, 817, 236888, 236743, 245838, 239794, 106, 107, 105, 2364, 107, 59591, 236764, 951, 33485, 64247, 236888, 4224, 564, 1202, 531, 7102, 1041, 9628, 65637, 236761, 28344, 611, 18840, 4803, 46331, 1003, 7363, 1610, 528, 13251, 4085, 236881, 564, 1461, 531, 4087, 1679, 506, 187148, 130235, 532, 5571, 22436, 47839, 236761, 3792, 236789, 236751, 1460, 1144, 506, 2263, 1610, 8317, 563, 105437, 1003, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 28263, 236779, 547, 1083, 623, 236774, 27985, 236779, 161795, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 827, 623, 4818, 1083, 623, 40812, 827, 623, 12103, 1083, 3714, 13271, 236779, 83027, 1083, 11058, 11896, 82043, 3324, 496, 236785, 236756, 236819, 236832, 236771, 236832, 236785, 236756, 236825, 236812, 17027, 236785, 236756, 236832, 236825, 236828, 236812, 30918, 528, 30551, 58401, 236888, 997, 85226, 17698, 40703, 9175, 827, 623, 1489, 6508, 236787, 7179, 855, 506, 11497, 15707, 1208, 234811, 569, 228088, 34679, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 39266, 1954, 17134, 657, 20587, 236789, 236751, 130235, 236764, 840, 506, 1759, 53039, 659, 528, 191495, 3025, 170586, 997, 13149, 9175, 827, 623, 4199, 69552, 19399, 4030, 1024, 506, 11379, 19356, 7905, 236888, 621, 689, 236828, 236800, 236753, 236785, 9646, 236828, 236755, 236785, 77118, 236771, 236760, 236785, 689, 236828, 236800, 236753, 236785, 9646, 236778, 236810, 997, 66057, 9175, 20074, 14255, 623, 126775, 236779, 52447, 1083, 3714, 30558, 1083, 236743, 236771, 236761, 236825, 236828, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236778, 236778, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236770, 1263, 623, 3991, 236779, 137112, 4073, 1083, 11058, 236865, 40703, 9175, 20074, 827, 13659, 236792, 10087, 201995, 827, 13659, 53619, 54936, 85226, 827, 13659, 9175, 30418, 236751, 14255, 623, 46858, 236779, 13692, 236779, 24392, 1083, 11058, 236770, 236812, 236787, 236771, 236771, 236772, 236770, 236825, 236787, 236771, 236771, 827, 623, 236770, 236819, 236787, 236771, 236771, 236772, 236778, 236770, 236787, 236771, 236771, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 18479, 529, 13251, 4085, 236789, 236751, 7363, 1610, 8317, 699, 4803, 46331, 236743, 245838, 236787, 138, 108, 1018, 23406, 54674, 69652, 522, 12488, 4224, 53121, 138, 107, 236772, 30551, 58401, 568, 40323, 30918, 54831, 15520, 138, 107, 236772, 234811, 569, 228088, 34679, 568, 13333, 15707, 32069, 236768, 138, 107, 236772, 11379, 19356, 7905, 568, 1951, 69552, 19399, 2970, 236768, 138, 108, 1018, 13149, 42272, 53121, 138, 107, 236774, 838, 3025, 170586, 659, 60194, 618, 496, 623, 9238, 13783, 236775, 7075, 607, 2344, 26342, 5483, 531, 20587, 72558, 236789, 236751, 9639, 130235, 236761, 138, 108, 1018, 100651, 1958, 1303, 53121, 138, 107, 14254, 12714, 7499, 1534, 5213, 236778, 236772, 236812, 8711, 1018, 532, 5213, 236832, 236772, 236819, 8711, 1018, 1271, 1966, 16270, 1913, 1239, 11665, 573, 28239, 2778, 236761, 138, 108, 1018, 1489, 42272, 53121, 12808, 118252, 1133, 997, 40703, 9175, 20074, 532, 997, 236792, 10087, 201995, 580, 10365, 236786, 34207, 573, 1759, 236772, 2289, 12496, 236761, 669, 8317, 11906, 95900, 4414, 568, 236825, 236828, 236908, 4414, 27078, 236768, 1271, 5508, 531, 11327, 236888, 236743, 242015, 138, 108, 236829, 10282, 236787, 31246, 16807, 11024, 607, 2263, 26309, 653, 4803, 10595, 1680, 16270, 9603, 106, 107, 105, 2364, 107, 15938, 236746, 236764, 191495, 3025, 170586, 5057, 28744, 236888, 2024, 564, 1461, 531, 3972, 236772, 4256, 768, 1724, 16746, 3643, 5518, 236761, 3199, 611, 12270, 10595, 573, 13251, 4085, 7363, 1610, 4469, 26309, 653, 2263, 8214, 17133, 699, 9593, 236881, 564, 1202, 531, 4071, 236772, 30449, 1239, 139978, 607, 1759, 67302, 9871, 531, 5571, 1027, 55053, 15136, 236761, 3792, 236789, 236751, 1460, 1144, 18361, 659, 6420, 1003, 191495, 3025, 14922, 30551, 58401, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 236855, 236800, 4206, 236800, 4502, 827, 623, 66850, 1083, 78493, 547, 1083, 623, 19032, 236770, 236778, 236800, 236812, 236810, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 13486, 1083, 623, 236774, 838, 3025, 236789, 236751, 7363, 1610, 8317, 691, 3666, 236772, 141909, 236888, 669, 8214, 7261, 784, 506, 11497, 130235, 532, 7659, 1822, 8511, 1003, 506, 2263, 11421, 236761, 30551, 58401, 1053, 496, 13881, 1607, 44249, 840, 15530, 7646, 221476, 3714, 547, 1083, 623, 19032, 236825, 236832, 236828, 236819, 236771, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 17043, 213783, 573, 13251, 4085, 236888, 669, 191495, 3025, 62209, 15136, 5378, 775, 531, 24636, 9871, 692, 236789, 236753, 2752, 1586, 7057, 236761, 30551, 58401, 236789, 236751, 7363, 1610, 4469, 691, 13275, 67722, 221476, 3714, 547, 1083, 623, 19032, 236770, 236770, 236778, 236778, 236800, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 13486, 1083, 623, 8724, 533, 8283, 1003, 30551, 58401, 236764, 840, 191495, 3025, 3336, 6345, 36389, 236761, 16661, 11221, 1093, 236789, 560, 1010, 11045, 573, 1171, 236772, 2289, 13131, 1781, 104960, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236771, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236832, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1144, 39393, 659, 6420, 1003, 506, 13251, 4085, 7363, 1610, 213783, 568, 28128, 236743, 236812, 236761, 236771, 236786, 236810, 236743, 105503, 2721, 580, 236743, 236770, 236778, 236832, 10595, 1473, 138, 108, 1018, 8534, 76374, 53121, 138, 107, 236770, 236761, 5213, 236774, 838, 3025, 112840, 132928, 53121, 138, 107, 139, 236772, 623, 65153, 236772, 141909, 236775, 11497, 130235, 607, 2263, 8325, 8511, 138, 107, 139, 236772, 623, 51632, 525, 9871, 611, 236789, 236753, 2752, 1586, 7057, 236775, 138, 108, 236778, 236761, 5213, 149829, 58401, 70731, 53121, 138, 107, 139, 236772, 623, 54133, 586, 67722, 7363, 1610, 4469, 236775, 138, 107, 139, 236772, 623, 214194, 1607, 44249, 699, 191495, 3025, 1271, 1800, 5367, 16270, 236775, 138, 108, 236800, 236761, 5213, 64477, 705, 145854, 53121, 138, 107, 139, 236772, 3656, 65991, 8601, 506, 191495, 3025, 3336, 6345, 623, 236750, 10593, 236775, 5483, 531, 30551, 58401, 138, 107, 139, 236772, 16661, 11221, 573, 1171, 236772, 2289, 13131, 964, 9724, 138, 108, 1018, 211199, 53121, 138, 107, 2094, 213783, 7412, 13451, 573, 30551, 58401, 568, 3350, 1346, 116780, 10595, 13627, 779, 840, 1966, 236787, 138, 107, 236772, 217087, 625, 607, 2263, 8325, 10365, 10789, 573, 191495, 3025, 12496, 138, 107, 236772, 81573, 4803, 10595, 568, 5455, 236743, 236825, 3794, 236768, 573, 5646, 236786, 192941, 3731, 138, 107, 236772, 94379, 1194, 4481, 990, 531, 11327, 191495, 3025, 22014, 768, 506, 8214, 11906, 8652, 138, 108, 38786, 611, 1133, 786, 531, 2426, 573, 33530, 10595, 653, 10769, 607, 2264, 213783, 236881, 236743, 245838, 246533, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 12498, 236772, 24333, 236764, 564, 236789, 236757, 6995, 600, 41512, 13251, 4085, 7363, 1610, 7946, 564, 236789, 560, 1010, 67301, 1003, 236761, 3199, 611, 2426, 1144, 33485, 6035, 564, 1202, 531, 12141, 1003, 618, 496, 2590, 26396, 236881, 564, 1537, 236789, 236745, 1461, 1070, 1774, 236772, 20353, 48365, 21837, 1556, 16711, 1041, 19063, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 110894, 236779, 15979, 1083, 2416, 236764, 623, 36217, 236779, 19001, 1083, 623, 236770, 236828, 236771, 2668, 827, 623, 41907, 1083, 623, 185954, 5085, 1186, 236764, 951, 11155, 653, 6382, 981, 827, 623, 14210, 1083, 623, 3118, 11838, 18154, 531, 13251, 573, 20623, 776, 711, 1660, 496, 33485, 840, 1921, 735, 496, 4341, 34558, 236761, 31246, 9128, 7234, 6035, 607, 5125, 3251, 7021, 1680, 4301, 1781, 236783, 106, 107, 105, 4368, 107, 2205, 496, 2590, 26396, 6995, 822, 13251, 4085, 7363, 1610, 19063, 236764, 1590, 236789, 236751, 506, 1535, 4668, 236787, 138, 108, 1018, 3771, 33485, 563, 3149, 1018, 573, 20623, 8616, 236888, 204906, 138, 107, 236772, 1599, 740, 4196, 872, 531, 5213, 236770, 236828, 236771, 2668, 1018, 138, 107, 236772, 45600, 1921, 577, 5213, 9181, 236772, 62473, 1018, 568, 1904, 6382, 981, 236768, 138, 107, 236772, 31246, 6081, 496, 5213, 4730, 34558, 1018, 138, 108, 1489, 6508, 236787, 5978, 506, 5904, 44898, 951, 33485, 563, 4354, 236764, 625, 236789, 236751, 21608, 531, 3972, 236772, 4256, 7234, 6035, 607, 5125, 7021, 1133, 506, 870, 3118, 5570, 529, 3245, 5457, 2574, 1411, 43201, 236761, 3255, 236761, 12561, 31004, 653, 26135, 34126, 11787, 1680, 27197, 236761, 5180, 41512, 7946, 563, 1535, 531, 817, 236888, 236743, 245838, 239794, 106, 107, 105, 2364, 107, 59591, 236764, 951, 33485, 64247, 236888, 4224, 564, 1202, 531, 7102, 1041, 9628, 65637, 236761, 28344, 611, 18840, 4803, 46331, 1003, 7363, 1610, 528, 13251, 4085, 236881, 564, 1461, 531, 4087, 1679, 506, 187148, 130235, 532, 5571, 22436, 47839, 236761, 3792, 236789, 236751, 1460, 1144, 506, 2263, 1610, 8317, 563, 105437, 1003, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 28263, 236779, 547, 1083, 623, 236774, 27985, 236779, 161795, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 827, 623, 4818, 1083, 623, 40812, 827, 623, 12103, 1083, 3714, 13271, 236779, 83027, 1083, 11058, 11896, 82043, 3324, 496, 236785, 236756, 236819, 236832, 236771, 236832, 236785, 236756, 236825, 236812, 17027, 236785, 236756, 236832, 236825, 236828, 236812, 30918, 528, 30551, 58401, 236888, 997, 85226, 17698, 40703, 9175, 827, 623, 1489, 6508, 236787, 7179, 855, 506, 11497, 15707, 1208, 234811, 569, 228088, 34679, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 39266, 1954, 17134, 657, 20587, 236789, 236751, 130235, 236764, 840, 506, 1759, 53039, 659, 528, 191495, 3025, 170586, 997, 13149, 9175, 827, 623, 4199, 69552, 19399, 4030, 1024, 506, 11379, 19356, 7905, 236888, 621, 689, 236828, 236800, 236753, 236785, 9646, 236828, 236755, 236785, 77118, 236771, 236760, 236785, 689, 236828, 236800, 236753, 236785, 9646, 236778, 236810, 997, 66057, 9175, 20074, 14255, 623, 126775, 236779, 52447, 1083, 3714, 30558, 1083, 236743, 236771, 236761, 236825, 236828, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236778, 236778, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236770, 1263, 623, 3991, 236779, 137112, 4073, 1083, 11058, 236865, 40703, 9175, 20074, 827, 13659, 236792, 10087, 201995, 827, 13659, 53619, 54936, 85226, 827, 13659, 9175, 30418, 236751, 14255, 623, 46858, 236779, 13692, 236779, 24392, 1083, 11058, 236770, 236812, 236787, 236771, 236771, 236772, 236770, 236825, 236787, 236771, 236771, 827, 623, 236770, 236819, 236787, 236771, 236771, 236772, 236778, 236770, 236787, 236771, 236771, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 18479, 529, 13251, 4085, 236789, 236751, 7363, 1610, 8317, 699, 4803, 46331, 236743, 245838, 236787, 138, 108, 1018, 23406, 54674, 69652, 522, 12488, 4224, 53121, 138, 107, 236772, 30551, 58401, 568, 40323, 30918, 54831, 15520, 138, 107, 236772, 234811, 569, 228088, 34679, 568, 13333, 15707, 32069, 236768, 138, 107, 236772, 11379, 19356, 7905, 568, 1951, 69552, 19399, 2970, 236768, 138, 108, 1018, 13149, 42272, 53121, 138, 107, 236774, 838, 3025, 170586, 659, 60194, 618, 496, 623, 9238, 13783, 236775, 7075, 607, 2344, 26342, 5483, 531, 20587, 72558, 236789, 236751, 9639, 130235, 236761, 138, 108, 1018, 100651, 1958, 1303, 53121, 138, 107, 14254, 12714, 7499, 1534, 5213, 236778, 236772, 236812, 8711, 1018, 532, 5213, 236832, 236772, 236819, 8711, 1018, 1271, 1966, 16270, 1913, 1239, 11665, 573, 28239, 2778, 236761, 138, 108, 1018, 1489, 42272, 53121, 12808, 118252, 1133, 997, 40703, 9175, 20074, 532, 997, 236792, 10087, 201995, 580, 10365, 236786, 34207, 573, 1759, 236772, 2289, 12496, 236761, 669, 8317, 11906, 95900, 4414, 568, 236825, 236828, 236908, 4414, 27078, 236768, 1271, 5508, 531, 11327, 236888, 236743, 242015, 138, 108, 236829, 10282, 236787, 31246, 16807, 11024, 607, 2263, 26309, 653, 4803, 10595, 1680, 16270, 9603, 106, 107, 105, 2364, 107, 15938, 236746, 236764, 191495, 3025, 170586, 5057, 28744, 236888, 2024, 564, 1461, 531, 3972, 236772, 4256, 768, 1724, 16746, 3643, 5518, 236761, 3199, 611, 12270, 10595, 573, 13251, 4085, 7363, 1610, 4469, 26309, 653, 2263, 8214, 17133, 699, 9593, 236881, 564, 1202, 531, 4071, 236772, 30449, 1239, 139978, 607, 1759, 67302, 9871, 531, 5571, 1027, 55053, 15136, 236761, 3792, 236789, 236751, 1460, 1144, 18361, 659, 6420, 1003, 191495, 3025, 14922, 30551, 58401, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 236855, 236800, 4206, 236800, 4502, 827, 623, 66850, 1083, 78493, 547, 1083, 623, 19032, 236770, 236778, 236800, 236812, 236810, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 13486, 1083, 623, 236774, 838, 3025, 236789, 236751, 7363, 1610, 8317, 691, 3666, 236772, 141909, 236888, 669, 8214, 7261, 784, 506, 11497, 130235, 532, 7659, 1822, 8511, 1003, 506, 2263, 11421, 236761, 30551, 58401, 1053, 496, 13881, 1607, 44249, 840, 15530, 7646, 221476, 3714, 547, 1083, 623, 19032, 236825, 236832, 236828, 236819, 236771, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 17043, 213783, 573, 13251, 4085, 236888, 669, 191495, 3025, 62209, 15136, 5378, 775, 531, 24636, 9871, 692, 236789, 236753, 2752, 1586, 7057, 236761, 30551, 58401, 236789, 236751, 7363, 1610, 4469, 691, 13275, 67722, 221476, 3714, 547, 1083, 623, 19032, 236770, 236770, 236778, 236778, 236800, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 13486, 1083, 623, 8724, 533, 8283, 1003, 30551, 58401, 236764, 840, 191495, 3025, 3336, 6345, 36389, 236761, 16661, 11221, 1093, 236789, 560, 1010, 11045, 573, 1171, 236772, 2289, 13131, 1781, 104960, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236771, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236832, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1144, 39393, 659, 6420, 1003, 506, 13251, 4085, 7363, 1610, 213783, 568, 28128, 236743, 236812, 236761, 236771, 236786, 236810, 236743, 105503, 2721, 580, 236743, 236770, 236778, 236832, 10595, 1473, 138, 108, 1018, 8534, 76374, 53121, 138, 107, 236770, 236761, 5213, 236774, 838, 3025, 112840, 132928, 53121, 138, 107, 139, 236772, 623, 65153, 236772, 141909, 236775, 11497, 130235, 607, 2263, 8325, 8511, 138, 107, 139, 236772, 623, 51632, 525, 9871, 611, 236789, 236753, 2752, 1586, 7057, 236775, 138, 108, 236778, 236761, 5213, 149829, 58401, 70731, 53121, 138, 107, 139, 236772, 623, 54133, 586, 67722, 7363, 1610, 4469, 236775, 138, 107, 139, 236772, 623, 214194, 1607, 44249, 699, 191495, 3025, 1271, 1800, 5367, 16270, 236775, 138, 108, 236800, 236761, 5213, 64477, 705, 145854, 53121, 138, 107, 139, 236772, 3656, 65991, 8601, 506, 191495, 3025, 3336, 6345, 623, 236750, 10593, 236775, 5483, 531, 30551, 58401, 138, 107, 139, 236772, 16661, 11221, 573, 1171, 236772, 2289, 13131, 964, 9724, 138, 108, 1018, 211199, 53121, 138, 107, 2094, 213783, 7412, 13451, 573, 30551, 58401, 568, 3350, 1346, 116780, 10595, 13627, 779, 840, 1966, 236787, 138, 107, 236772, 217087, 625, 607, 2263, 8325, 10365, 10789, 573, 191495, 3025, 12496, 138, 107, 236772, 81573, 4803, 10595, 568, 5455, 236743, 236825, 3794, 236768, 573, 5646, 236786, 192941, 3731, 138, 107, 236772, 94379, 1194, 4481, 990, 531, 11327, 191495, 3025, 22014, 768, 506, 8214, 11906, 8652, 138, 108, 38786, 611, 1133, 786, 531, 2426, 573, 33530, 10595, 653, 10769, 607, 2264, 213783, 236881, 236743, 245838, 246533, 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, 6693, 8858, 26735, 573, 5142, 236743, 236778, 236771, 236778, 236810, 531, 1460, 506, 99836, 7940, 236789, 236751, 17110, 9979, 236764, 840, 564, 1461, 531, 5571, 19231, 20720, 600, 2473, 27282, 1041, 7946, 236761, 7323, 2426, 768, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 16071, 580, 496, 51878, 10940, 236761, 1637, 625, 1677, 236764, 1299, 2426, 5142, 236743, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 618, 496, 21609, 3433, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 499, 37591, 236779, 11283, 1083, 623, 236773, 23617, 827, 623, 499, 37591, 236779, 1896, 1083, 623, 236770, 236810, 827, 623, 499, 37591, 236779, 3704, 1083, 623, 236810, 236832, 236828, 236810, 827, 623, 100328, 1083, 175820, 106, 107, 105, 4368, 107, 818, 3433, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 17671, 531, 5213, 236773, 23617, 236743, 236770, 236810, 236764, 236743, 236810, 236832, 236828, 236810, 1018, 528, 506, 51878, 14626, 236764, 532, 5213, 1904, 51878, 10940, 1018, 563, 5773, 580, 672, 3433, 3894, 531, 506, 9299, 3072, 236761, 5612, 993, 659, 951, 19231, 20720, 580, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 822, 13015, 7946, 3433, 563, 6338, 531, 7162, 2180, 38484, 236761, 2301, 21609, 3433, 2426, 563, 3149, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 6693, 8858, 26735, 573, 5142, 236743, 236778, 236771, 236778, 236810, 531, 1460, 506, 99836, 7940, 236789, 236751, 17110, 9979, 236764, 840, 564, 1461, 531, 5571, 19231, 20720, 600, 2473, 27282, 1041, 7946, 236761, 7323, 2426, 768, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 16071, 580, 496, 51878, 10940, 236761, 1637, 625, 1677, 236764, 1299, 2426, 5142, 236743, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 618, 496, 21609, 3433, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 499, 37591, 236779, 11283, 1083, 623, 236773, 23617, 827, 623, 499, 37591, 236779, 1896, 1083, 623, 236770, 236810, 827, 623, 499, 37591, 236779, 3704, 1083, 623, 236810, 236832, 236828, 236810, 827, 623, 100328, 1083, 175820, 106, 107, 105, 4368, 107, 818, 3433, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 17671, 531, 5213, 236773, 23617, 236743, 236770, 236810, 236764, 236743, 236810, 236832, 236828, 236810, 1018, 528, 506, 51878, 14626, 236764, 532, 5213, 1904, 51878, 10940, 1018, 563, 5773, 580, 672, 3433, 3894, 531, 506, 9299, 3072, 236761, 5612, 993, 659, 951, 19231, 20720, 580, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 822, 13015, 7946, 3433, 563, 6338, 531, 7162, 2180, 38484, 236761, 2301, 21609, 3433, 2426, 563, 3149, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 4981, 529, 1041, 60898, 236789, 236751, 12089, 7963, 1900, 236761, 1293, 236789, 236751, 13805, 236743, 236770, 236778, 2148, 2069, 532, 564, 1461, 531, 1386, 2889, 506, 69343, 1076, 36522, 580, 990, 236761, 3199, 611, 2426, 1900, 997, 19954, 236823, 236770, 236778, 236800, 236812, 607, 1041, 4553, 12197, 12397, 236770, 236819, 236812, 236770, 236940, 6774, 236761, 854, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 13659, 19954, 236823, 236770, 236778, 236800, 236812, 827, 623, 4818, 1083, 623, 42453, 2560, 827, 623, 84339, 236779, 4818, 1083, 623, 902, 55677, 827, 623, 55477, 236779, 5640, 1083, 623, 6553, 236855, 236772, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 24471, 236779, 87877, 1083, 1847, 236764, 623, 51183, 236779, 81907, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7633, 1083, 78493, 5930, 236779, 547, 1083, 623, 205849, 236772, 236832, 236770, 236771, 236812, 236800, 827, 623, 7777, 1083, 623, 205849, 155802, 23339, 5833, 827, 623, 22111, 1083, 236743, 236770, 104960, 623, 14210, 1083, 623, 10174, 83764, 12631, 6055, 236761, 33431, 10778, 1680, 5142, 236743, 236778, 236771, 594, 12089, 1781, 236783, 106, 107, 105, 4368, 107, 818, 1900, 997, 19954, 236823, 236770, 236778, 236800, 236812, 573, 822, 60898, 236789, 236751, 69343, 155802, 23339, 5833, 568, 5930, 5853, 236787, 69343, 236772, 236832, 236770, 236771, 236812, 236800, 236768, 563, 5213, 1179, 8329, 532, 528, 28048, 1018, 236888, 236743, 246727, 239794, 138, 108, 1018, 58791, 9661, 53121, 8642, 236855, 236772, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 138, 107, 1018, 122598, 33431, 53121, 5142, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 568, 2003, 236743, 236778, 236787, 236771, 236771, 8711, 59528, 236768, 138, 107, 1018, 6717, 7918, 53121, 61498, 1552, 12631, 6055, 1271, 8341, 10778, 808, 15849, 236829, 914, 5142, 236743, 236778, 236771, 594, 12089, 236888, 138, 108, 3048, 740, 7020, 506, 39391, 5609, 1699, 506, 16074, 1548, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 204906, 106, 107, 105, 2364, 107, 236777, 1164, 4461, 496, 2246, 699, 1041, 78856, 236789, 236751, 5946, 1271, 901, 236789, 500, 2963, 496, 7600, 12089, 4598, 573, 1800, 6214, 2148, 8224, 236888, 3199, 611, 2426, 580, 2264, 1900, 564, 7006, 573, 496, 229591, 236787, 19047, 36962, 19767, 2290, 236881, 1030, 1374, 577, 1208, 506, 1638, 4553, 236764, 1900, 997, 19954, 236823, 236810, 236825, 236832, 236828, 236761, 19704, 531, 9128, 625, 236789, 859, 15074, 1680, 506, 4598, 580, 506, 236743, 236778, 236778, 523, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 13659, 19954, 236823, 236810, 236825, 236832, 236828, 827, 623, 4818, 1083, 623, 129647, 827, 623, 84339, 236779, 4818, 1083, 623, 42453, 2560, 4323, 236743, 236778, 236772, 13265, 17734, 827, 623, 24471, 236779, 87877, 1083, 1847, 236764, 623, 51183, 236779, 81907, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7633, 1083, 78493, 5930, 236779, 1201, 1083, 623, 10505, 37772, 236787, 19047, 36962, 19767, 827, 623, 22111, 1083, 236743, 236770, 236764, 623, 1582, 236779, 4818, 1083, 623, 4830, 60046, 236775, 165075, 106, 107, 105, 4368, 107, 818, 1900, 997, 19954, 236823, 236810, 236825, 236832, 236828, 573, 506, 5213, 10505, 37772, 236787, 19047, 36962, 19767, 1018, 2290, 563, 5213, 1179, 8329, 4323, 236743, 236778, 236772, 13265, 17734, 1018, 532, 580, 4087, 531, 15074, 684, 5213, 27403, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 568, 236778, 236787, 236771, 236771, 8711, 59528, 62902, 236761, 236743, 249151, 239794, 138, 108, 10081, 822, 7600, 12089, 4598, 563, 580, 506, 236743, 236778, 236778, 523, 236764, 672, 5021, 611, 236743, 236778, 2587, 2668, 531, 20151, 506, 7963, 1680, 506, 19138, 236888, 669, 4188, 815, 3016, 1010, 75194, 532, 563, 528, 28048, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 16074, 506, 39391, 653, 16329, 2264, 1900, 236761, 204906, 106, 107, 105, 2364, 107, 236777, 1164, 25159, 564, 11496, 496, 623, 5015, 16049, 236787, 1599, 3199, 2199, 55641, 236775, 6334, 6600, 1076, 573, 1041, 1032, 78856, 1271, 625, 236858, 236751, 11750, 531, 15074, 684, 506, 1638, 4598, 3433, 236888, 3199, 611, 2426, 1900, 997, 19954, 236823, 236819, 236771, 236770, 236778, 1208, 12197, 12397, 236770, 236819, 236812, 236770, 236940, 6774, 236761, 854, 236881, 669, 16074, 8283, 699, 506, 3527, 10400, 5021, 786, 8118, 529, 3666, 236764, 840, 564, 236858, 236753, 1133, 531, 9128, 672, 4168, 7963, 236858, 236751, 34315, 2311, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 13659, 19954, 236823, 236819, 236771, 236770, 236778, 827, 623, 6774, 1083, 623, 65125, 12397, 236770, 236819, 236812, 236770, 236940, 6774, 236761, 854, 827, 623, 4818, 1083, 623, 87877, 827, 623, 24471, 236779, 87877, 1083, 1847, 236764, 623, 84339, 236779, 4818, 1083, 3714, 82506, 1083, 623, 90551, 1683, 827, 623, 55477, 236779, 5640, 1083, 623, 236819, 236812, 236771, 236771, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236778, 236832, 236812, 236778, 236828, 236825, 236828, 827, 623, 51183, 236779, 81907, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 23179, 623, 7633, 1083, 78493, 1201, 1083, 623, 5015, 16049, 236787, 1599, 3199, 2199, 55641, 44987, 43965, 5833, 827, 623, 22111, 1083, 236743, 236770, 236764, 623, 4818, 1083, 623, 23046, 236775, 165075, 106, 107, 105, 4368, 107, 818, 1900, 997, 19954, 236823, 236819, 236771, 236770, 236778, 573, 506, 5213, 5015, 16049, 236787, 1599, 3199, 2199, 55641, 44987, 43965, 5833, 1018, 563, 5633, 5213, 87877, 1018, 532, 5213, 23046, 84750, 236743, 244631, 239794, 138, 108, 1018, 58582, 20303, 53121, 138, 107, 236772, 72747, 236787, 100732, 138, 107, 236772, 64608, 9661, 236787, 236743, 236819, 236812, 236771, 236771, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236778, 236832, 236812, 236778, 236828, 236825, 236828, 138, 107, 236772, 93550, 33431, 236787, 5213, 30651, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 1018, 568, 14210, 236787, 672, 3433, 7412, 531, 577, 528, 506, 3068, 2721, 580, 1873, 4403, 769, 138, 108, 10081, 822, 4598, 563, 580, 5213, 27403, 236743, 236778, 236778, 523, 125546, 672, 9460, 8341, 3433, 29933, 496, 4561, 236761, 669, 4188, 563, 2036, 11373, 618, 623, 23046, 2098, 834, 951, 39391, 815, 10997, 3819, 236761, 1174, 1149, 10128, 496, 1458, 3165, 528, 506, 9460, 8341, 3433, 653, 496, 9249, 528, 56470, 236761, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 236770, 236761, 7179, 506, 16074, 3104, 573, 1759, 236772, 2289, 12496, 1699, 506, 16074, 1548, 236761, 138, 107, 236778, 236761, 13948, 5602, 1894, 568, 4060, 506, 16074, 1548, 236768, 531, 37386, 506, 5396, 8341, 34315, 236761, 138, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 496, 3618, 531, 506, 43022, 1003, 672, 59725, 236881, 204906, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 4981, 529, 1041, 60898, 236789, 236751, 12089, 7963, 1900, 236761, 1293, 236789, 236751, 13805, 236743, 236770, 236778, 2148, 2069, 532, 564, 1461, 531, 1386, 2889, 506, 69343, 1076, 36522, 580, 990, 236761, 3199, 611, 2426, 1900, 997, 19954, 236823, 236770, 236778, 236800, 236812, 607, 1041, 4553, 12197, 12397, 236770, 236819, 236812, 236770, 236940, 6774, 236761, 854, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 13659, 19954, 236823, 236770, 236778, 236800, 236812, 827, 623, 4818, 1083, 623, 42453, 2560, 827, 623, 84339, 236779, 4818, 1083, 623, 902, 55677, 827, 623, 55477, 236779, 5640, 1083, 623, 6553, 236855, 236772, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 24471, 236779, 87877, 1083, 1847, 236764, 623, 51183, 236779, 81907, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7633, 1083, 78493, 5930, 236779, 547, 1083, 623, 205849, 236772, 236832, 236770, 236771, 236812, 236800, 827, 623, 7777, 1083, 623, 205849, 155802, 23339, 5833, 827, 623, 22111, 1083, 236743, 236770, 104960, 623, 14210, 1083, 623, 10174, 83764, 12631, 6055, 236761, 33431, 10778, 1680, 5142, 236743, 236778, 236771, 594, 12089, 1781, 236783, 106, 107, 105, 4368, 107, 818, 1900, 997, 19954, 236823, 236770, 236778, 236800, 236812, 573, 822, 60898, 236789, 236751, 69343, 155802, 23339, 5833, 568, 5930, 5853, 236787, 69343, 236772, 236832, 236770, 236771, 236812, 236800, 236768, 563, 5213, 1179, 8329, 532, 528, 28048, 1018, 236888, 236743, 246727, 239794, 138, 108, 1018, 58791, 9661, 53121, 8642, 236855, 236772, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 138, 107, 1018, 122598, 33431, 53121, 5142, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 568, 2003, 236743, 236778, 236787, 236771, 236771, 8711, 59528, 236768, 138, 107, 1018, 6717, 7918, 53121, 61498, 1552, 12631, 6055, 1271, 8341, 10778, 808, 15849, 236829, 914, 5142, 236743, 236778, 236771, 594, 12089, 236888, 138, 108, 3048, 740, 7020, 506, 39391, 5609, 1699, 506, 16074, 1548, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 204906, 106, 107, 105, 2364, 107, 236777, 1164, 4461, 496, 2246, 699, 1041, 78856, 236789, 236751, 5946, 1271, 901, 236789, 500, 2963, 496, 7600, 12089, 4598, 573, 1800, 6214, 2148, 8224, 236888, 3199, 611, 2426, 580, 2264, 1900, 564, 7006, 573, 496, 229591, 236787, 19047, 36962, 19767, 2290, 236881, 1030, 1374, 577, 1208, 506, 1638, 4553, 236764, 1900, 997, 19954, 236823, 236810, 236825, 236832, 236828, 236761, 19704, 531, 9128, 625, 236789, 859, 15074, 1680, 506, 4598, 580, 506, 236743, 236778, 236778, 523, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 13659, 19954, 236823, 236810, 236825, 236832, 236828, 827, 623, 4818, 1083, 623, 129647, 827, 623, 84339, 236779, 4818, 1083, 623, 42453, 2560, 4323, 236743, 236778, 236772, 13265, 17734, 827, 623, 24471, 236779, 87877, 1083, 1847, 236764, 623, 51183, 236779, 81907, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7633, 1083, 78493, 5930, 236779, 1201, 1083, 623, 10505, 37772, 236787, 19047, 36962, 19767, 827, 623, 22111, 1083, 236743, 236770, 236764, 623, 1582, 236779, 4818, 1083, 623, 4830, 60046, 236775, 165075, 106, 107, 105, 4368, 107, 818, 1900, 997, 19954, 236823, 236810, 236825, 236832, 236828, 573, 506, 5213, 10505, 37772, 236787, 19047, 36962, 19767, 1018, 2290, 563, 5213, 1179, 8329, 4323, 236743, 236778, 236772, 13265, 17734, 1018, 532, 580, 4087, 531, 15074, 684, 5213, 27403, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 568, 236778, 236787, 236771, 236771, 8711, 59528, 62902, 236761, 236743, 249151, 239794, 138, 108, 10081, 822, 7600, 12089, 4598, 563, 580, 506, 236743, 236778, 236778, 523, 236764, 672, 5021, 611, 236743, 236778, 2587, 2668, 531, 20151, 506, 7963, 1680, 506, 19138, 236888, 669, 4188, 815, 3016, 1010, 75194, 532, 563, 528, 28048, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 16074, 506, 39391, 653, 16329, 2264, 1900, 236761, 204906, 106, 107, 105, 2364, 107, 236777, 1164, 25159, 564, 11496, 496, 623, 5015, 16049, 236787, 1599, 3199, 2199, 55641, 236775, 6334, 6600, 1076, 573, 1041, 1032, 78856, 1271, 625, 236858, 236751, 11750, 531, 15074, 684, 506, 1638, 4598, 3433, 236888, 3199, 611, 2426, 1900, 997, 19954, 236823, 236819, 236771, 236770, 236778, 1208, 12197, 12397, 236770, 236819, 236812, 236770, 236940, 6774, 236761, 854, 236881, 669, 16074, 8283, 699, 506, 3527, 10400, 5021, 786, 8118, 529, 3666, 236764, 840, 564, 236858, 236753, 1133, 531, 9128, 672, 4168, 7963, 236858, 236751, 34315, 2311, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 13659, 19954, 236823, 236819, 236771, 236770, 236778, 827, 623, 6774, 1083, 623, 65125, 12397, 236770, 236819, 236812, 236770, 236940, 6774, 236761, 854, 827, 623, 4818, 1083, 623, 87877, 827, 623, 24471, 236779, 87877, 1083, 1847, 236764, 623, 84339, 236779, 4818, 1083, 3714, 82506, 1083, 623, 90551, 1683, 827, 623, 55477, 236779, 5640, 1083, 623, 236819, 236812, 236771, 236771, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236778, 236832, 236812, 236778, 236828, 236825, 236828, 827, 623, 51183, 236779, 81907, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 23179, 623, 7633, 1083, 78493, 1201, 1083, 623, 5015, 16049, 236787, 1599, 3199, 2199, 55641, 44987, 43965, 5833, 827, 623, 22111, 1083, 236743, 236770, 236764, 623, 4818, 1083, 623, 23046, 236775, 165075, 106, 107, 105, 4368, 107, 818, 1900, 997, 19954, 236823, 236819, 236771, 236770, 236778, 573, 506, 5213, 5015, 16049, 236787, 1599, 3199, 2199, 55641, 44987, 43965, 5833, 1018, 563, 5633, 5213, 87877, 1018, 532, 5213, 23046, 84750, 236743, 244631, 239794, 138, 108, 1018, 58582, 20303, 53121, 138, 107, 236772, 72747, 236787, 100732, 138, 107, 236772, 64608, 9661, 236787, 236743, 236819, 236812, 236771, 236771, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236778, 236832, 236812, 236778, 236828, 236825, 236828, 138, 107, 236772, 93550, 33431, 236787, 5213, 30651, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 1018, 568, 14210, 236787, 672, 3433, 7412, 531, 577, 528, 506, 3068, 2721, 580, 1873, 4403, 769, 138, 108, 10081, 822, 4598, 563, 580, 5213, 27403, 236743, 236778, 236778, 523, 125546, 672, 9460, 8341, 3433, 29933, 496, 4561, 236761, 669, 4188, 563, 2036, 11373, 618, 623, 23046, 2098, 834, 951, 39391, 815, 10997, 3819, 236761, 1174, 1149, 10128, 496, 1458, 3165, 528, 506, 9460, 8341, 3433, 653, 496, 9249, 528, 56470, 236761, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 236770, 236761, 7179, 506, 16074, 3104, 573, 1759, 236772, 2289, 12496, 1699, 506, 16074, 1548, 236761, 138, 107, 236778, 236761, 13948, 5602, 1894, 568, 4060, 506, 16074, 1548, 236768, 531, 37386, 506, 5396, 8341, 34315, 236761, 138, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 496, 3618, 531, 506, 43022, 1003, 672, 59725, 236881, 204906, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 122623, 11644, 236787, 623, 17531, 236888, 564, 236789, 236757, 2844, 580, 8812, 496, 861, 6831, 4188, 573, 1041, 3402, 33443, 753, 2613, 600, 59156, 6672, 26135, 34894, 607, 496, 26339, 236761, 28344, 611, 1601, 786, 1586, 496, 9578, 130398, 15028, 600, 6178, 11151, 10417, 13840, 618, 496, 1689, 31831, 236881, 564, 1461, 2613, 4709, 600, 236789, 859, 14089, 1041, 5103, 840, 2036, 11906, 10334, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 1201, 1083, 623, 94861, 10417, 57626, 842, 60565, 227023, 3173, 188726, 607, 105875, 7585, 12604, 827, 623, 77095, 1083, 11058, 236812, 32123, 3173, 47948, 827, 623, 236770, 8578, 192704, 11151, 10417, 13840, 827, 623, 236770, 236786, 236778, 8578, 138748, 51894, 827, 623, 236770, 236786, 236812, 8578, 43449, 135616, 827, 623, 236770, 72881, 59010, 129882, 827, 623, 236778, 107072, 21949, 827, 623, 236770, 26677, 568, 6686, 7701, 22730, 623, 69654, 532, 22300, 531, 11613, 14255, 623, 96654, 1083, 623, 236770, 236761, 187986, 18576, 8558, 585, 3097, 85404, 524, 236764, 1299, 52314, 532, 174941, 236761, 236743, 236778, 236761, 29785, 11151, 10417, 236764, 51894, 236764, 135616, 236764, 129882, 236764, 9551, 236764, 532, 22300, 236761, 236743, 236800, 236761, 92890, 47948, 607, 11711, 236761, 236743, 236812, 236761, 70535, 21949, 532, 26677, 17926, 573, 75521, 236761, 236743, 236810, 236761, 48257, 75521, 1024, 45568, 47948, 236761, 236743, 236825, 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, 4310, 236761, 68988, 6962, 607, 51854, 99369, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9578, 130398, 15028, 600, 59156, 6672, 26135, 34894, 607, 496, 4709, 26339, 236787, 108, 1018, 94861, 10417, 57626, 842, 60565, 227023, 3173, 188726, 607, 105875, 7585, 12604, 1018, 138, 107, 247861, 238178, 248705, 138, 108, 1018, 64690, 53121, 138, 107, 236772, 227023, 3173, 47948, 568, 178611, 532, 98423, 236768, 138, 107, 236772, 7678, 38829, 11151, 10417, 13840, 138, 107, 236772, 622, 7701, 51894, 138, 107, 236772, 11872, 2560, 135616, 138, 107, 236772, 4504, 15320, 129882, 138, 107, 236772, 50759, 236772, 43597, 75521, 138, 108, 1018, 11355, 625, 4146, 53121, 138, 107, 818, 116457, 5387, 529, 32123, 3173, 47948, 14491, 607, 177219, 11151, 10417, 13840, 236764, 1651, 506, 51894, 75521, 13586, 17795, 74184, 236761, 4504, 15320, 129882, 23948, 528, 6672, 26135, 43615, 8687, 236764, 532, 5756, 135616, 7804, 832, 506, 13415, 236761, 138, 108, 1018, 1489, 6508, 53121, 68988, 607, 496, 2678, 529, 51854, 99369, 573, 9728, 1583, 600, 41131, 506, 16627, 34894, 236761, 138, 108, 38786, 611, 1133, 19205, 573, 11048, 653, 39364, 15136, 607, 672, 13415, 236881, 106, 107, 105, 2364, 107, 122623, 11644, 236787, 623, 81167, 6549, 1093, 577, 7646, 236888, 564, 1461, 672, 13415, 531, 2198, 580, 2777, 4009, 236761, 6542, 236764, 1451, 611, 1601, 786, 7352, 506, 15028, 10802, 531, 14966, 6630, 236881, 564, 236789, 236757, 6995, 531, 5559, 672, 872, 573, 6268, 68558, 3622, 506, 33443, 19015, 236764, 532, 14966, 3590, 15621, 8722, 236761, 7062, 236764, 532, 776, 611, 1751, 672, 13415, 1093, 981, 607, 496, 28976, 9302, 531, 11151, 10417, 236881, 3551, 1791, 4389, 231162, 993, 236789, 236751, 496, 184673, 236772, 5140, 3567, 600, 236789, 236751, 31950, 1781, 106, 107, 105, 4368, 107, 6481, 236789, 236751, 64460, 822, 13415, 573, 2777, 4009, 532, 93711, 236888, 5715, 236789, 236751, 822, 13611, 2731, 236787, 108, 1018, 243826, 62720, 45914, 1018, 138, 107, 236770, 236761, 5213, 236847, 98237, 1973, 1194, 53121, 68988, 580, 496, 2173, 653, 2764, 48443, 7319, 531, 1386, 7913, 2198, 236761, 667, 64127, 607, 4719, 109645, 236764, 60264, 7983, 568, 5282, 28297, 5337, 74199, 779, 653, 125263, 863, 3448, 573, 9530, 236761, 138, 107, 236778, 236761, 5213, 22297, 12604, 4585, 53121, 622, 212557, 506, 21949, 236772, 43597, 75521, 528, 71668, 236802, 4073, 653, 32450, 9935, 1699, 496, 50558, 11988, 236761, 4140, 496, 5122, 236772, 26952, 198985, 26677, 54616, 573, 15818, 236761, 138, 107, 236800, 236761, 5213, 102711, 17994, 53121, 230192, 506, 47948, 580, 496, 4086, 529, 42218, 51854, 99369, 528, 496, 3582, 4896, 13392, 236764, 23725, 12286, 64434, 607, 3730, 15689, 133554, 22259, 236761, 138, 107, 236812, 236761, 5213, 105207, 13324, 53121, 99082, 14222, 85048, 11433, 22103, 580, 506, 7319, 573, 44157, 18155, 568, 89653, 1171, 42035, 138, 108, 1018, 254868, 106022, 33502, 878, 1018, 138, 107, 236772, 227023, 3173, 47948, 236787, 236743, 236812, 47948, 138, 107, 236772, 32352, 10417, 13840, 236787, 236743, 236770, 236810, 236771, 236759, 568, 8162, 38829, 236768, 138, 107, 236772, 105875, 236787, 236743, 236770, 236778, 236810, 236759, 568, 236753, 7701, 236768, 138, 107, 236772, 156809, 115244, 236787, 236743, 236770, 236810, 236759, 568, 3537, 2560, 236768, 138, 107, 236772, 4504, 15320, 129882, 236787, 236743, 236800, 236759, 138, 107, 236772, 50759, 236787, 236743, 236800, 236771, 1528, 138, 107, 236772, 80782, 17926, 236787, 236743, 236800, 236771, 1528, 138, 107, 236772, 28501, 236786, 144793, 236787, 2282, 11613, 138, 108, 1018, 242980, 89712, 48806, 1018, 138, 107, 10784, 236888, 44635, 11151, 10417, 607, 5213, 9926, 34260, 136483, 66515, 138, 107, 236772, 5213, 64020, 53121, 99603, 236743, 236770, 236810, 236771, 236759, 10445, 3151, 49810, 900, 236743, 236778, 107072, 35677, 35784, 900, 236743, 236770, 107072, 21905, 17926, 900, 47041, 72881, 9551, 900, 236743, 236778, 107072, 1813, 3097, 134480, 586, 236761, 7161, 1131, 496, 17589, 532, 44323, 573, 236743, 236770, 6468, 236761, 138, 107, 236772, 5213, 40855, 53121, 4140, 496, 31498, 529, 17810, 81290, 48399, 531, 506, 51894, 75521, 531, 106744, 34894, 5745, 2180, 26283, 236761, 138, 108, 1018, 61192, 140930, 42272, 53121, 16193, 506, 15028, 532, 1161, 496, 10988, 26293, 573, 97950, 236786, 236763, 1557, 531, 4883, 25725, 236761, 138, 108, 38786, 611, 1133, 496, 7426, 11273, 21256, 573, 84137, 653, 30981, 531, 506, 28976, 15028, 236881, 236743, 247861, 238178, 239794, 106, 107, 105, 2364, 107, 122623, 11644, 236787, 623, 236776, 7426, 11273, 21256, 1093, 577, 2393, 11045, 1271, 564, 236858, 236757, 3838, 1415, 2613, 16627, 532, 12815, 573, 10365, 236761, 6542, 236764, 1451, 611, 100257, 506, 28976, 184673, 136483, 15028, 531, 577, 4446, 236772, 6796, 236881, 3551, 4389, 6950, 901, 1053, 13007, 3978, 625, 531, 19953, 2180, 4446, 236764, 532, 564, 1461, 672, 531, 577, 496, 7644, 5086, 236761, 7062, 236764, 532, 1651, 692, 236858, 500, 657, 625, 236764, 740, 611, 7352, 506, 14966, 10802, 531, 37011, 6630, 2311, 236881, 4943, 529, 1041, 8351, 4698, 2473, 577, 919, 9650, 607, 1724, 1913, 4866, 1781, 106, 107, 105, 4368, 107, 1018, 245838, 24246, 37521, 56232, 568, 42809, 236772, 33778, 1473, 1018, 138, 107, 236770, 236761, 5213, 8728, 53121, 6890, 496, 4996, 48443, 653, 154024, 7319, 573, 9530, 236761, 138, 107, 236778, 236761, 5213, 15581, 58954, 53121, 138, 107, 139, 236772, 15444, 236743, 236778, 45568, 47948, 127808, 3418, 506, 7319, 568, 811, 44533, 236764, 886, 8427, 100907, 769, 138, 107, 139, 236772, 230192, 496, 1944, 85618, 529, 51854, 99369, 568, 5865, 524, 28239, 3826, 607, 21079, 91319, 13950, 236768, 28383, 1091, 236761, 138, 107, 139, 236772, 667, 64127, 607, 236787, 138, 107, 141, 236772, 562, 5213, 236758, 93114, 863, 543, 623, 144938, 236775, 1018, 5830, 531, 506, 47948, 236761, 138, 107, 141, 236772, 15103, 109645, 182172, 699, 506, 99369, 236761, 138, 107, 141, 236772, 562, 5213, 22278, 236772, 26952, 236772, 236753, 32922, 26677, 54616, 1018, 20433, 580, 506, 7377, 529, 506, 7319, 236761, 138, 107, 236800, 236761, 5213, 22297, 12604, 53121, 622, 212557, 506, 51894, 75521, 528, 5213, 63250, 9935, 1018, 568, 23661, 236802, 4073, 236764, 25384, 236768, 1699, 496, 50558, 11988, 236761, 138, 107, 236812, 236761, 5213, 105207, 53121, 10847, 586, 14222, 85048, 11433, 22103, 573, 44157, 623, 170826, 236775, 1763, 568, 89653, 1171, 42035, 138, 108, 7243, 108, 1018, 242980, 15909, 236772, 15370, 89712, 10324, 34260, 633, 1766, 52258, 1018, 138, 107, 236829, 21009, 236772, 120265, 42272, 149681, 65284, 5213, 42709, 2448, 6525, 1018, 568, 574, 936, 102025, 92542, 236768, 618, 496, 3756, 70532, 236761, 138, 107, 1018, 64690, 53121, 138, 107, 236772, 236743, 236770, 236810, 236771, 236759, 10445, 3151, 49810, 568, 177927, 236743, 236778, 236964, 236812, 3885, 236768, 138, 107, 236772, 236743, 236778, 107072, 35677, 35784, 138, 107, 236772, 236743, 236770, 107072, 21905, 17926, 138, 107, 236772, 236743, 236778, 107072, 5272, 2448, 6525, 568, 2543, 61683, 179144, 236768, 138, 107, 236772, 47041, 72881, 9551, 138, 107, 236772, 236743, 236770, 72881, 17810, 81290, 48399, 568, 1708, 12058, 236768, 138, 108, 1018, 81851, 53121, 138, 107, 236770, 236761, 99603, 784, 13153, 528, 496, 2780, 24990, 3097, 31090, 236761, 138, 107, 236778, 236761, 7161, 1131, 496, 40034, 17589, 653, 6230, 1131, 25716, 236761, 138, 107, 236800, 236761, 121642, 573, 236743, 236778, 3885, 531, 6218, 872, 236761, 138, 107, 236812, 236761, 148399, 1148, 1680, 111025, 47948, 236761, 138, 108, 7243, 108, 1018, 254868, 42200, 236772, 10011, 66017, 568, 84276, 900, 37011, 62902, 138, 107, 236909, 5213, 110439, 1018, 145, 236909, 5213, 84276, 1018, 142, 236909, 5213, 172884, 1018, 145, 236909, 138, 107, 236909, 2819, 40686, 236909, 2819, 119434, 2819, 33129, 236909, 138, 107, 236909, 227023, 3173, 47948, 145, 236909, 236743, 236812, 47948, 143, 236909, 236743, 236812, 47948, 148, 236909, 138, 107, 236909, 10324, 34260, 136483, 568, 117829, 236768, 141, 236909, 236743, 236770, 236810, 236771, 236759, 148, 236909, 236743, 236810, 236761, 236800, 16109, 151, 236909, 138, 107, 236909, 105875, 568, 236753, 7701, 236768, 147, 236909, 236743, 236770, 236778, 236810, 236759, 148, 236909, 236743, 236812, 236761, 236812, 16109, 75720, 241966, 8578, 236768, 142, 236909, 138, 107, 236909, 156809, 115244, 568, 3537, 2560, 236768, 142, 236909, 236743, 236770, 236810, 236759, 149, 236909, 236743, 236771, 236761, 236810, 16109, 75720, 240960, 8578, 236768, 142, 236909, 138, 107, 236909, 4504, 15320, 129882, 146, 236909, 236743, 236800, 236759, 150, 236909, 47041, 107072, 151, 236909, 138, 107, 236909, 50759, 153, 236909, 236743, 236800, 236771, 1528, 148, 236909, 236743, 236778, 107072, 151, 236909, 138, 107, 236909, 80782, 17926, 150, 236909, 236743, 236800, 236771, 1528, 148, 236909, 236743, 236778, 107072, 151, 236909, 138, 108, 1018, 1489, 42272, 573, 140930, 53121, 138, 107, 14950, 236786, 153460, 506, 15028, 532, 1161, 496, 5213, 18003, 26293, 1018, 573, 97950, 236786, 236763, 1557, 236761, 16401, 4866, 24032, 528, 1800, 6630, 573, 4698, 19142, 236761, 138, 108, 7243, 108, 1018, 17667, 31808, 53121, 4140, 496, 5213, 236775, 24760, 31831, 236775, 5433, 1018, 580, 506, 6831, 568, 236744, 236761, 236759, 1126, 623, 10005, 15320, 129882, 184673, 136483, 607, 496, 18343, 529, 51894, 15236, 1373, 531, 14838, 41998, 236888, 138, 108, 38786, 611, 1133, 496, 48246, 3567, 529, 672, 15028, 653, 496, 18649, 236772, 1048, 529, 506, 6831, 6492, 236881, 236743, 250046, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 122623, 11644, 236787, 623, 17531, 236888, 564, 236789, 236757, 2844, 580, 8812, 496, 861, 6831, 4188, 573, 1041, 3402, 33443, 753, 2613, 600, 59156, 6672, 26135, 34894, 607, 496, 26339, 236761, 28344, 611, 1601, 786, 1586, 496, 9578, 130398, 15028, 600, 6178, 11151, 10417, 13840, 618, 496, 1689, 31831, 236881, 564, 1461, 2613, 4709, 600, 236789, 859, 14089, 1041, 5103, 840, 2036, 11906, 10334, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 1201, 1083, 623, 94861, 10417, 57626, 842, 60565, 227023, 3173, 188726, 607, 105875, 7585, 12604, 827, 623, 77095, 1083, 11058, 236812, 32123, 3173, 47948, 827, 623, 236770, 8578, 192704, 11151, 10417, 13840, 827, 623, 236770, 236786, 236778, 8578, 138748, 51894, 827, 623, 236770, 236786, 236812, 8578, 43449, 135616, 827, 623, 236770, 72881, 59010, 129882, 827, 623, 236778, 107072, 21949, 827, 623, 236770, 26677, 568, 6686, 7701, 22730, 623, 69654, 532, 22300, 531, 11613, 14255, 623, 96654, 1083, 623, 236770, 236761, 187986, 18576, 8558, 585, 3097, 85404, 524, 236764, 1299, 52314, 532, 174941, 236761, 236743, 236778, 236761, 29785, 11151, 10417, 236764, 51894, 236764, 135616, 236764, 129882, 236764, 9551, 236764, 532, 22300, 236761, 236743, 236800, 236761, 92890, 47948, 607, 11711, 236761, 236743, 236812, 236761, 70535, 21949, 532, 26677, 17926, 573, 75521, 236761, 236743, 236810, 236761, 48257, 75521, 1024, 45568, 47948, 236761, 236743, 236825, 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, 4310, 236761, 68988, 6962, 607, 51854, 99369, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9578, 130398, 15028, 600, 59156, 6672, 26135, 34894, 607, 496, 4709, 26339, 236787, 108, 1018, 94861, 10417, 57626, 842, 60565, 227023, 3173, 188726, 607, 105875, 7585, 12604, 1018, 138, 107, 247861, 238178, 248705, 138, 108, 1018, 64690, 53121, 138, 107, 236772, 227023, 3173, 47948, 568, 178611, 532, 98423, 236768, 138, 107, 236772, 7678, 38829, 11151, 10417, 13840, 138, 107, 236772, 622, 7701, 51894, 138, 107, 236772, 11872, 2560, 135616, 138, 107, 236772, 4504, 15320, 129882, 138, 107, 236772, 50759, 236772, 43597, 75521, 138, 108, 1018, 11355, 625, 4146, 53121, 138, 107, 818, 116457, 5387, 529, 32123, 3173, 47948, 14491, 607, 177219, 11151, 10417, 13840, 236764, 1651, 506, 51894, 75521, 13586, 17795, 74184, 236761, 4504, 15320, 129882, 23948, 528, 6672, 26135, 43615, 8687, 236764, 532, 5756, 135616, 7804, 832, 506, 13415, 236761, 138, 108, 1018, 1489, 6508, 53121, 68988, 607, 496, 2678, 529, 51854, 99369, 573, 9728, 1583, 600, 41131, 506, 16627, 34894, 236761, 138, 108, 38786, 611, 1133, 19205, 573, 11048, 653, 39364, 15136, 607, 672, 13415, 236881, 106, 107, 105, 2364, 107, 122623, 11644, 236787, 623, 81167, 6549, 1093, 577, 7646, 236888, 564, 1461, 672, 13415, 531, 2198, 580, 2777, 4009, 236761, 6542, 236764, 1451, 611, 1601, 786, 7352, 506, 15028, 10802, 531, 14966, 6630, 236881, 564, 236789, 236757, 6995, 531, 5559, 672, 872, 573, 6268, 68558, 3622, 506, 33443, 19015, 236764, 532, 14966, 3590, 15621, 8722, 236761, 7062, 236764, 532, 776, 611, 1751, 672, 13415, 1093, 981, 607, 496, 28976, 9302, 531, 11151, 10417, 236881, 3551, 1791, 4389, 231162, 993, 236789, 236751, 496, 184673, 236772, 5140, 3567, 600, 236789, 236751, 31950, 1781, 106, 107, 105, 4368, 107, 6481, 236789, 236751, 64460, 822, 13415, 573, 2777, 4009, 532, 93711, 236888, 5715, 236789, 236751, 822, 13611, 2731, 236787, 108, 1018, 243826, 62720, 45914, 1018, 138, 107, 236770, 236761, 5213, 236847, 98237, 1973, 1194, 53121, 68988, 580, 496, 2173, 653, 2764, 48443, 7319, 531, 1386, 7913, 2198, 236761, 667, 64127, 607, 4719, 109645, 236764, 60264, 7983, 568, 5282, 28297, 5337, 74199, 779, 653, 125263, 863, 3448, 573, 9530, 236761, 138, 107, 236778, 236761, 5213, 22297, 12604, 4585, 53121, 622, 212557, 506, 21949, 236772, 43597, 75521, 528, 71668, 236802, 4073, 653, 32450, 9935, 1699, 496, 50558, 11988, 236761, 4140, 496, 5122, 236772, 26952, 198985, 26677, 54616, 573, 15818, 236761, 138, 107, 236800, 236761, 5213, 102711, 17994, 53121, 230192, 506, 47948, 580, 496, 4086, 529, 42218, 51854, 99369, 528, 496, 3582, 4896, 13392, 236764, 23725, 12286, 64434, 607, 3730, 15689, 133554, 22259, 236761, 138, 107, 236812, 236761, 5213, 105207, 13324, 53121, 99082, 14222, 85048, 11433, 22103, 580, 506, 7319, 573, 44157, 18155, 568, 89653, 1171, 42035, 138, 108, 1018, 254868, 106022, 33502, 878, 1018, 138, 107, 236772, 227023, 3173, 47948, 236787, 236743, 236812, 47948, 138, 107, 236772, 32352, 10417, 13840, 236787, 236743, 236770, 236810, 236771, 236759, 568, 8162, 38829, 236768, 138, 107, 236772, 105875, 236787, 236743, 236770, 236778, 236810, 236759, 568, 236753, 7701, 236768, 138, 107, 236772, 156809, 115244, 236787, 236743, 236770, 236810, 236759, 568, 3537, 2560, 236768, 138, 107, 236772, 4504, 15320, 129882, 236787, 236743, 236800, 236759, 138, 107, 236772, 50759, 236787, 236743, 236800, 236771, 1528, 138, 107, 236772, 80782, 17926, 236787, 236743, 236800, 236771, 1528, 138, 107, 236772, 28501, 236786, 144793, 236787, 2282, 11613, 138, 108, 1018, 242980, 89712, 48806, 1018, 138, 107, 10784, 236888, 44635, 11151, 10417, 607, 5213, 9926, 34260, 136483, 66515, 138, 107, 236772, 5213, 64020, 53121, 99603, 236743, 236770, 236810, 236771, 236759, 10445, 3151, 49810, 900, 236743, 236778, 107072, 35677, 35784, 900, 236743, 236770, 107072, 21905, 17926, 900, 47041, 72881, 9551, 900, 236743, 236778, 107072, 1813, 3097, 134480, 586, 236761, 7161, 1131, 496, 17589, 532, 44323, 573, 236743, 236770, 6468, 236761, 138, 107, 236772, 5213, 40855, 53121, 4140, 496, 31498, 529, 17810, 81290, 48399, 531, 506, 51894, 75521, 531, 106744, 34894, 5745, 2180, 26283, 236761, 138, 108, 1018, 61192, 140930, 42272, 53121, 16193, 506, 15028, 532, 1161, 496, 10988, 26293, 573, 97950, 236786, 236763, 1557, 531, 4883, 25725, 236761, 138, 108, 38786, 611, 1133, 496, 7426, 11273, 21256, 573, 84137, 653, 30981, 531, 506, 28976, 15028, 236881, 236743, 247861, 238178, 239794, 106, 107, 105, 2364, 107, 122623, 11644, 236787, 623, 236776, 7426, 11273, 21256, 1093, 577, 2393, 11045, 1271, 564, 236858, 236757, 3838, 1415, 2613, 16627, 532, 12815, 573, 10365, 236761, 6542, 236764, 1451, 611, 100257, 506, 28976, 184673, 136483, 15028, 531, 577, 4446, 236772, 6796, 236881, 3551, 4389, 6950, 901, 1053, 13007, 3978, 625, 531, 19953, 2180, 4446, 236764, 532, 564, 1461, 672, 531, 577, 496, 7644, 5086, 236761, 7062, 236764, 532, 1651, 692, 236858, 500, 657, 625, 236764, 740, 611, 7352, 506, 14966, 10802, 531, 37011, 6630, 2311, 236881, 4943, 529, 1041, 8351, 4698, 2473, 577, 919, 9650, 607, 1724, 1913, 4866, 1781, 106, 107, 105, 4368, 107, 1018, 245838, 24246, 37521, 56232, 568, 42809, 236772, 33778, 1473, 1018, 138, 107, 236770, 236761, 5213, 8728, 53121, 6890, 496, 4996, 48443, 653, 154024, 7319, 573, 9530, 236761, 138, 107, 236778, 236761, 5213, 15581, 58954, 53121, 138, 107, 139, 236772, 15444, 236743, 236778, 45568, 47948, 127808, 3418, 506, 7319, 568, 811, 44533, 236764, 886, 8427, 100907, 769, 138, 107, 139, 236772, 230192, 496, 1944, 85618, 529, 51854, 99369, 568, 5865, 524, 28239, 3826, 607, 21079, 91319, 13950, 236768, 28383, 1091, 236761, 138, 107, 139, 236772, 667, 64127, 607, 236787, 138, 107, 141, 236772, 562, 5213, 236758, 93114, 863, 543, 623, 144938, 236775, 1018, 5830, 531, 506, 47948, 236761, 138, 107, 141, 236772, 15103, 109645, 182172, 699, 506, 99369, 236761, 138, 107, 141, 236772, 562, 5213, 22278, 236772, 26952, 236772, 236753, 32922, 26677, 54616, 1018, 20433, 580, 506, 7377, 529, 506, 7319, 236761, 138, 107, 236800, 236761, 5213, 22297, 12604, 53121, 622, 212557, 506, 51894, 75521, 528, 5213, 63250, 9935, 1018, 568, 23661, 236802, 4073, 236764, 25384, 236768, 1699, 496, 50558, 11988, 236761, 138, 107, 236812, 236761, 5213, 105207, 53121, 10847, 586, 14222, 85048, 11433, 22103, 573, 44157, 623, 170826, 236775, 1763, 568, 89653, 1171, 42035, 138, 108, 7243, 108, 1018, 242980, 15909, 236772, 15370, 89712, 10324, 34260, 633, 1766, 52258, 1018, 138, 107, 236829, 21009, 236772, 120265, 42272, 149681, 65284, 5213, 42709, 2448, 6525, 1018, 568, 574, 936, 102025, 92542, 236768, 618, 496, 3756, 70532, 236761, 138, 107, 1018, 64690, 53121, 138, 107, 236772, 236743, 236770, 236810, 236771, 236759, 10445, 3151, 49810, 568, 177927, 236743, 236778, 236964, 236812, 3885, 236768, 138, 107, 236772, 236743, 236778, 107072, 35677, 35784, 138, 107, 236772, 236743, 236770, 107072, 21905, 17926, 138, 107, 236772, 236743, 236778, 107072, 5272, 2448, 6525, 568, 2543, 61683, 179144, 236768, 138, 107, 236772, 47041, 72881, 9551, 138, 107, 236772, 236743, 236770, 72881, 17810, 81290, 48399, 568, 1708, 12058, 236768, 138, 108, 1018, 81851, 53121, 138, 107, 236770, 236761, 99603, 784, 13153, 528, 496, 2780, 24990, 3097, 31090, 236761, 138, 107, 236778, 236761, 7161, 1131, 496, 40034, 17589, 653, 6230, 1131, 25716, 236761, 138, 107, 236800, 236761, 121642, 573, 236743, 236778, 3885, 531, 6218, 872, 236761, 138, 107, 236812, 236761, 148399, 1148, 1680, 111025, 47948, 236761, 138, 108, 7243, 108, 1018, 254868, 42200, 236772, 10011, 66017, 568, 84276, 900, 37011, 62902, 138, 107, 236909, 5213, 110439, 1018, 145, 236909, 5213, 84276, 1018, 142, 236909, 5213, 172884, 1018, 145, 236909, 138, 107, 236909, 2819, 40686, 236909, 2819, 119434, 2819, 33129, 236909, 138, 107, 236909, 227023, 3173, 47948, 145, 236909, 236743, 236812, 47948, 143, 236909, 236743, 236812, 47948, 148, 236909, 138, 107, 236909, 10324, 34260, 136483, 568, 117829, 236768, 141, 236909, 236743, 236770, 236810, 236771, 236759, 148, 236909, 236743, 236810, 236761, 236800, 16109, 151, 236909, 138, 107, 236909, 105875, 568, 236753, 7701, 236768, 147, 236909, 236743, 236770, 236778, 236810, 236759, 148, 236909, 236743, 236812, 236761, 236812, 16109, 75720, 241966, 8578, 236768, 142, 236909, 138, 107, 236909, 156809, 115244, 568, 3537, 2560, 236768, 142, 236909, 236743, 236770, 236810, 236759, 149, 236909, 236743, 236771, 236761, 236810, 16109, 75720, 240960, 8578, 236768, 142, 236909, 138, 107, 236909, 4504, 15320, 129882, 146, 236909, 236743, 236800, 236759, 150, 236909, 47041, 107072, 151, 236909, 138, 107, 236909, 50759, 153, 236909, 236743, 236800, 236771, 1528, 148, 236909, 236743, 236778, 107072, 151, 236909, 138, 107, 236909, 80782, 17926, 150, 236909, 236743, 236800, 236771, 1528, 148, 236909, 236743, 236778, 107072, 151, 236909, 138, 108, 1018, 1489, 42272, 573, 140930, 53121, 138, 107, 14950, 236786, 153460, 506, 15028, 532, 1161, 496, 5213, 18003, 26293, 1018, 573, 97950, 236786, 236763, 1557, 236761, 16401, 4866, 24032, 528, 1800, 6630, 573, 4698, 19142, 236761, 138, 108, 7243, 108, 1018, 17667, 31808, 53121, 4140, 496, 5213, 236775, 24760, 31831, 236775, 5433, 1018, 580, 506, 6831, 568, 236744, 236761, 236759, 1126, 623, 10005, 15320, 129882, 184673, 136483, 607, 496, 18343, 529, 51894, 15236, 1373, 531, 14838, 41998, 236888, 138, 108, 38786, 611, 1133, 496, 48246, 3567, 529, 672, 15028, 653, 496, 18649, 236772, 1048, 529, 506, 6831, 6492, 236881, 236743, 250046, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 4461, 614, 4553, 699, 5026, 28277, 531, 577, 496, 26550, 40135, 528, 5796, 57450, 236764, 13531, 236761, 2195, 6950, 1023, 7659, 72630, 236764, 840, 564, 1461, 531, 16807, 910, 4563, 236761, 564, 15593, 506, 4553, 236789, 236751, 10710, 3421, 236764, 532, 625, 3831, 236743, 236828, 236761, 236828, 236761, 236828, 236761, 236828, 236761, 28344, 611, 1161, 822, 6436, 531, 9128, 837, 2891, 672, 10710, 563, 12314, 531, 236881, 564, 236789, 236757, 496, 3103, 77351, 532, 1461, 531, 577, 2889, 1680, 11211, 1027, 2523, 8735, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 27211, 4184, 25938, 106, 107, 105, 4368, 107, 818, 10710, 3421, 236743, 236828, 236761, 236828, 236761, 236828, 236761, 236828, 563, 12314, 531, 6475, 236789, 236751, 1237, 46972, 2509, 532, 563, 5143, 607, 506, 5213, 27211, 4184, 84750, 1174, 4563, 1677, 711, 8913, 607, 5796, 57450, 236764, 13531, 236764, 618, 13264, 684, 506, 4553, 20276, 236761, 236743, 108, 26479, 672, 59725, 236764, 625, 1093, 577, 65751, 531, 8774, 28012, 236761, 669, 1161, 529, 496, 749, 236761, 236773, 4862, 5140, 10710, 573, 614, 4553, 28277, 16530, 9059, 1451, 10128, 496, 159380, 524, 9834, 653, 496, 26210, 2509, 236761, 39874, 11211, 13719, 2523, 8735, 3097, 611, 740, 16807, 506, 20276, 236789, 236751, 9834, 1343, 4767, 236764, 68064, 2820, 236761, 106, 107, 105, 2364, 107, 236777, 14756, 822, 26093, 1003, 506, 236743, 236828, 236761, 236828, 236761, 236828, 236761, 236828, 10710, 1646, 12809, 531, 6475, 236789, 236751, 749, 236761, 236773, 236761, 2509, 236761, 1174, 8426, 29933, 2604, 22680, 1003, 506, 20276, 236858, 236751, 58542, 236761, 4224, 236764, 564, 236858, 236757, 22967, 236787, 768, 5026, 528, 5796, 57450, 236764, 13531, 236764, 1456, 496, 2263, 8379, 2509, 12454, 236764, 1144, 2891, 3393, 1093, 910, 10710, 11082, 1407, 236881, 28344, 611, 2426, 614, 2591, 10710, 5143, 607, 13531, 236858, 236751, 5905, 66776, 12454, 531, 1601, 786, 3050, 1144, 496, 30781, 16530, 10710, 2473, 1385, 1133, 236881, 106, 107, 105, 4368, 107, 2021, 6054, 506, 2891, 3393, 573, 496, 30781, 16530, 10710, 3421, 236764, 625, 1093, 4911, 580, 506, 3530, 10710, 2644, 28606, 531, 506, 93595, 528, 5796, 57450, 236761, 1701, 2591, 236764, 13531, 236789, 236751, 5905, 66776, 15063, 1133, 5213, 236788, 583, 1018, 653, 5213, 48818, 13531, 1018, 735, 10710, 21280, 13720, 684, 506, 630, 79293, 137837, 568, 1437, 10969, 8379, 39698, 573, 3879, 769, 562, 22415, 16530, 10710, 3421, 1093, 11082, 14245, 531, 5213, 86932, 568, 7742, 62902, 1056, 15593, 236761, 108, 9675, 236764, 564, 3914, 16807, 496, 62954, 653, 19920, 93595, 10710, 2180, 496, 3530, 3421, 236761, 1637, 611, 735, 496, 2931, 10710, 611, 236789, 236753, 1133, 531, 2426, 568, 236744, 236761, 236759, 1126, 699, 496, 861, 4553, 653, 7283, 779, 4024, 625, 236764, 532, 564, 740, 1161, 506, 5904, 531, 9128, 1061, 2891, 236761, 1701, 1492, 236764, 496, 4341, 16530, 10710, 1093, 1407, 5213, 236775, 14801, 1083, 623, 86932, 236775, 1018, 568, 32279, 3393, 5213, 7742, 119542, 528, 506, 3072, 236761, 106, 107, 105, 2364, 107, 14782, 611, 573, 106441, 600, 496, 30781, 16530, 10710, 1093, 14245, 531, 13531, 568, 7742, 769, 564, 236858, 560, 8452, 855, 531, 496, 149590, 3662, 528, 5796, 57450, 532, 4733, 1091, 531, 4024, 910, 93595, 236858, 236751, 10710, 3421, 618, 496, 5577, 236761, 1637, 901, 15148, 607, 496, 3530, 10710, 236764, 564, 236858, 859, 4448, 625, 1590, 573, 28250, 236761, 1174, 795, 1601, 786, 15256, 24636, 16530, 10710, 9935, 573, 3402, 29252, 236761, 799, 506, 38434, 236764, 1451, 611, 8082, 1217, 10969, 8379, 231144, 1133, 630, 79293, 137837, 51808, 10710, 21280, 531, 179683, 236881, 564, 236858, 236753, 1133, 531, 2480, 3050, 1217, 4563, 1262, 23948, 531, 10710, 19246, 236761, 106, 107, 105, 4368, 107, 117494, 236888, 5715, 236789, 236751, 496, 25890, 529, 1217, 5213, 98472, 9513, 39145, 2302, 568, 236794, 3359, 236751, 62902, 1133, 5213, 236794, 79293, 137837, 1018, 51808, 10710, 19246, 532, 14806, 1091, 531, 42442, 11024, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 11250, 10710, 15874, 93784, 193495, 1018, 107, 236772, 5213, 120789, 568, 40519, 163056, 49477, 19430, 62902, 236787, 138, 107, 138, 207889, 507, 506, 4185, 7444, 529, 10710, 19246, 236761, 1030, 180784, 2455, 11802, 529, 87730, 236812, 236786, 139661, 236825, 19246, 531, 5213, 236794, 3359, 236751, 1018, 2721, 580, 10969, 5056, 236761, 108, 236772, 5213, 236794, 3359, 236751, 568, 236744, 236761, 236759, 1126, 630, 79293, 137837, 62902, 236787, 138, 107, 138, 236794, 79293, 137837, 36371, 10710, 75043, 573, 3879, 236764, 506, 12266, 7123, 236764, 532, 4688, 529, 8870, 11560, 236761, 1030, 112507, 10710, 11802, 531, 5213, 13149, 9513, 39145, 2302, 568, 236798, 3359, 236751, 62902, 568, 116645, 179683, 653, 66776, 15063, 236768, 528, 672, 4128, 236761, 108, 236772, 5213, 236798, 3359, 236751, 568, 2249, 16990, 62902, 236787, 138, 107, 138, 14946, 614, 93595, 568, 236744, 236761, 236759, 1126, 645, 583, 528, 13531, 236768, 6775, 614, 639, 3359, 4374, 529, 630, 79293, 137837, 236764, 625, 21500, 10710, 3421, 11802, 236761, 3143, 11802, 659, 1299, 13720, 531, 1345, 236772, 12641, 568, 99927, 236764, 8634, 236764, 1262, 16545, 236768, 653, 12308, 568, 5282, 85852, 769, 108, 7243, 108, 10354, 5213, 236778, 236761, 2088, 21617, 5774, 220122, 531, 212120, 1018, 107, 236772, 5213, 44383, 22204, 66515, 138, 107, 138, 4420, 614, 93595, 10512, 10710, 19246, 699, 630, 79293, 137837, 236764, 901, 2847, 31459, 4889, 236764, 2440, 42442, 1938, 236761, 1174, 1262, 563, 11628, 528, 506, 5213, 236794, 79293, 23260, 1018, 568, 2153, 586, 15283, 769, 1701, 2591, 236787, 107, 138, 236772, 645, 583, 568, 86932, 236768, 1093, 1694, 1061, 28471, 528, 27071, 653, 57450, 236761, 107, 138, 236772, 669, 10710, 11802, 13720, 531, 645, 583, 659, 12809, 531, 13531, 528, 506, 7948, 236761, 108, 236772, 5213, 7315, 236772, 2887, 68327, 66515, 138, 107, 138, 4420, 645, 583, 74940, 614, 10710, 531, 496, 5602, 528, 5796, 57450, 236764, 506, 10710, 236858, 236751, 4563, 563, 53946, 2721, 580, 236787, 107, 138, 236772, 669, 93595, 236858, 236751, 12314, 4563, 568, 86932, 769, 107, 138, 236772, 669, 93595, 236858, 236751, 6145, 3707, 12308, 568, 236744, 236761, 236759, 1126, 10969, 1262, 16545, 769, 108, 236772, 5213, 145370, 222724, 66515, 138, 107, 138, 31810, 1133, 2165, 760, 236779, 1071, 236779, 14801, 236929, 1161, 34438, 568, 236744, 236761, 236759, 1126, 8645, 65153, 236764, 10710, 3906, 236768, 600, 4187, 212120, 531, 11024, 684, 155979, 630, 3359, 8735, 532, 93595, 236772, 56082, 1262, 236761, 3153, 236787, 107, 138, 236772, 62590, 9796, 580, 1217, 11572, 179683, 4610, 910, 630, 79293, 8735, 236761, 107, 138, 236772, 212120, 1456, 4323, 5213, 97268, 236751, 125546, 5213, 6329, 51640, 125546, 653, 5213, 23104, 12230, 1018, 1149, 1407, 85373, 568, 236744, 236761, 236759, 1126, 496, 57450, 10704, 1699, 496, 749, 236761, 236773, 236761, 36768, 7412, 618, 623, 27211, 4184, 4248, 108, 7243, 108, 10354, 5213, 236800, 236761, 14691, 236787, 10710, 93784, 528, 13531, 1018, 107, 236772, 5213, 236788, 583, 568, 119110, 62902, 236787, 138, 107, 138, 236788, 583, 9258, 10710, 21280, 1133, 2165, 236828, 236771, 236761, 236778, 236778, 236778, 236761, 236771, 236761, 236771, 236786, 236770, 236825, 236929, 568, 139661, 236812, 236768, 532, 2165, 236778, 236771, 236771, 236770, 236787, 236832, 236770, 236828, 1480, 236786, 236800, 236778, 236929, 568, 139661, 236825, 779, 28606, 684, 630, 79293, 137837, 236761, 3143, 659, 1456, 573, 5103, 528, 13531, 236761, 138, 107, 138, 236772, 562, 5602, 528, 57450, 1699, 645, 583, 236858, 236751, 3707, 1093, 5908, 614, 10710, 699, 1239, 21280, 236764, 837, 179692, 6436, 4187, 531, 5213, 86932, 568, 7742, 62902, 236761, 108, 236772, 5213, 48818, 13531, 568, 119110, 62902, 236787, 138, 107, 138, 33578, 236751, 21280, 1133, 2165, 236828, 236825, 236761, 236800, 236778, 236761, 236771, 236761, 236771, 236786, 236770, 236800, 21233, 562, 17488, 5602, 528, 27071, 1093, 24977, 1407, 618, 623, 86932, 1781, 108, 7243, 108, 10354, 5213, 236812, 236761, 137727, 529, 10710, 3563, 60613, 1018, 107, 236772, 5213, 3949, 13386, 22204, 66515, 138, 107, 138, 2859, 614, 93595, 20269, 531, 4610, 1061, 630, 79293, 15020, 568, 236744, 236761, 236759, 1126, 16996, 496, 10969, 4408, 779, 179692, 6436, 1149, 1407, 21648, 11024, 236761, 107, 236772, 5213, 50384, 49598, 66515, 138, 107, 138, 12575, 179683, 1161, 54809, 12230, 236761, 1701, 2591, 236764, 496, 13023, 57450, 2430, 2473, 3371, 531, 496, 1262, 3988, 528, 27071, 236764, 3043, 910, 10710, 3196, 5143, 607, 27071, 236761, 107, 236772, 5213, 52581, 25373, 66515, 138, 107, 138, 97268, 236751, 236764, 9049, 236764, 653, 6551, 109000, 740, 7441, 506, 1847, 4563, 11716, 236761, 108, 7243, 108, 10354, 5213, 3503, 12774, 14968, 1018, 107, 236776, 30781, 16530, 10710, 3421, 568, 236744, 236761, 236759, 1126, 699, 645, 583, 653, 17488, 13531, 236768, 1093, 14245, 531, 5213, 86932, 568, 7742, 62902, 528, 179692, 6436, 1547, 236787, 107, 236770, 236761, 669, 10710, 3355, 563, 28606, 531, 614, 16530, 93595, 684, 630, 79293, 137837, 236761, 107, 236778, 236761, 669, 93595, 236858, 236751, 15020, 4889, 528, 506, 630, 79293, 23260, 20193, 13531, 236761, 108, 2859, 611, 5908, 614, 10710, 699, 822, 149590, 3662, 528, 57450, 236764, 564, 740, 16807, 3363, 625, 100146, 607, 672, 10318, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 4461, 614, 4553, 699, 5026, 28277, 531, 577, 496, 26550, 40135, 528, 5796, 57450, 236764, 13531, 236761, 2195, 6950, 1023, 7659, 72630, 236764, 840, 564, 1461, 531, 16807, 910, 4563, 236761, 564, 15593, 506, 4553, 236789, 236751, 10710, 3421, 236764, 532, 625, 3831, 236743, 236828, 236761, 236828, 236761, 236828, 236761, 236828, 236761, 28344, 611, 1161, 822, 6436, 531, 9128, 837, 2891, 672, 10710, 563, 12314, 531, 236881, 564, 236789, 236757, 496, 3103, 77351, 532, 1461, 531, 577, 2889, 1680, 11211, 1027, 2523, 8735, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 27211, 4184, 25938, 106, 107, 105, 4368, 107, 818, 10710, 3421, 236743, 236828, 236761, 236828, 236761, 236828, 236761, 236828, 563, 12314, 531, 6475, 236789, 236751, 1237, 46972, 2509, 532, 563, 5143, 607, 506, 5213, 27211, 4184, 84750, 1174, 4563, 1677, 711, 8913, 607, 5796, 57450, 236764, 13531, 236764, 618, 13264, 684, 506, 4553, 20276, 236761, 236743, 108, 26479, 672, 59725, 236764, 625, 1093, 577, 65751, 531, 8774, 28012, 236761, 669, 1161, 529, 496, 749, 236761, 236773, 4862, 5140, 10710, 573, 614, 4553, 28277, 16530, 9059, 1451, 10128, 496, 159380, 524, 9834, 653, 496, 26210, 2509, 236761, 39874, 11211, 13719, 2523, 8735, 3097, 611, 740, 16807, 506, 20276, 236789, 236751, 9834, 1343, 4767, 236764, 68064, 2820, 236761, 106, 107, 105, 2364, 107, 236777, 14756, 822, 26093, 1003, 506, 236743, 236828, 236761, 236828, 236761, 236828, 236761, 236828, 10710, 1646, 12809, 531, 6475, 236789, 236751, 749, 236761, 236773, 236761, 2509, 236761, 1174, 8426, 29933, 2604, 22680, 1003, 506, 20276, 236858, 236751, 58542, 236761, 4224, 236764, 564, 236858, 236757, 22967, 236787, 768, 5026, 528, 5796, 57450, 236764, 13531, 236764, 1456, 496, 2263, 8379, 2509, 12454, 236764, 1144, 2891, 3393, 1093, 910, 10710, 11082, 1407, 236881, 28344, 611, 2426, 614, 2591, 10710, 5143, 607, 13531, 236858, 236751, 5905, 66776, 12454, 531, 1601, 786, 3050, 1144, 496, 30781, 16530, 10710, 2473, 1385, 1133, 236881, 106, 107, 105, 4368, 107, 2021, 6054, 506, 2891, 3393, 573, 496, 30781, 16530, 10710, 3421, 236764, 625, 1093, 4911, 580, 506, 3530, 10710, 2644, 28606, 531, 506, 93595, 528, 5796, 57450, 236761, 1701, 2591, 236764, 13531, 236789, 236751, 5905, 66776, 15063, 1133, 5213, 236788, 583, 1018, 653, 5213, 48818, 13531, 1018, 735, 10710, 21280, 13720, 684, 506, 630, 79293, 137837, 568, 1437, 10969, 8379, 39698, 573, 3879, 769, 562, 22415, 16530, 10710, 3421, 1093, 11082, 14245, 531, 5213, 86932, 568, 7742, 62902, 1056, 15593, 236761, 108, 9675, 236764, 564, 3914, 16807, 496, 62954, 653, 19920, 93595, 10710, 2180, 496, 3530, 3421, 236761, 1637, 611, 735, 496, 2931, 10710, 611, 236789, 236753, 1133, 531, 2426, 568, 236744, 236761, 236759, 1126, 699, 496, 861, 4553, 653, 7283, 779, 4024, 625, 236764, 532, 564, 740, 1161, 506, 5904, 531, 9128, 1061, 2891, 236761, 1701, 1492, 236764, 496, 4341, 16530, 10710, 1093, 1407, 5213, 236775, 14801, 1083, 623, 86932, 236775, 1018, 568, 32279, 3393, 5213, 7742, 119542, 528, 506, 3072, 236761, 106, 107, 105, 2364, 107, 14782, 611, 573, 106441, 600, 496, 30781, 16530, 10710, 1093, 14245, 531, 13531, 568, 7742, 769, 564, 236858, 560, 8452, 855, 531, 496, 149590, 3662, 528, 5796, 57450, 532, 4733, 1091, 531, 4024, 910, 93595, 236858, 236751, 10710, 3421, 618, 496, 5577, 236761, 1637, 901, 15148, 607, 496, 3530, 10710, 236764, 564, 236858, 859, 4448, 625, 1590, 573, 28250, 236761, 1174, 795, 1601, 786, 15256, 24636, 16530, 10710, 9935, 573, 3402, 29252, 236761, 799, 506, 38434, 236764, 1451, 611, 8082, 1217, 10969, 8379, 231144, 1133, 630, 79293, 137837, 51808, 10710, 21280, 531, 179683, 236881, 564, 236858, 236753, 1133, 531, 2480, 3050, 1217, 4563, 1262, 23948, 531, 10710, 19246, 236761, 106, 107, 105, 4368, 107, 117494, 236888, 5715, 236789, 236751, 496, 25890, 529, 1217, 5213, 98472, 9513, 39145, 2302, 568, 236794, 3359, 236751, 62902, 1133, 5213, 236794, 79293, 137837, 1018, 51808, 10710, 19246, 532, 14806, 1091, 531, 42442, 11024, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 11250, 10710, 15874, 93784, 193495, 1018, 107, 236772, 5213, 120789, 568, 40519, 163056, 49477, 19430, 62902, 236787, 138, 107, 138, 207889, 507, 506, 4185, 7444, 529, 10710, 19246, 236761, 1030, 180784, 2455, 11802, 529, 87730, 236812, 236786, 139661, 236825, 19246, 531, 5213, 236794, 3359, 236751, 1018, 2721, 580, 10969, 5056, 236761, 108, 236772, 5213, 236794, 3359, 236751, 568, 236744, 236761, 236759, 1126, 630, 79293, 137837, 62902, 236787, 138, 107, 138, 236794, 79293, 137837, 36371, 10710, 75043, 573, 3879, 236764, 506, 12266, 7123, 236764, 532, 4688, 529, 8870, 11560, 236761, 1030, 112507, 10710, 11802, 531, 5213, 13149, 9513, 39145, 2302, 568, 236798, 3359, 236751, 62902, 568, 116645, 179683, 653, 66776, 15063, 236768, 528, 672, 4128, 236761, 108, 236772, 5213, 236798, 3359, 236751, 568, 2249, 16990, 62902, 236787, 138, 107, 138, 14946, 614, 93595, 568, 236744, 236761, 236759, 1126, 645, 583, 528, 13531, 236768, 6775, 614, 639, 3359, 4374, 529, 630, 79293, 137837, 236764, 625, 21500, 10710, 3421, 11802, 236761, 3143, 11802, 659, 1299, 13720, 531, 1345, 236772, 12641, 568, 99927, 236764, 8634, 236764, 1262, 16545, 236768, 653, 12308, 568, 5282, 85852, 769, 108, 7243, 108, 10354, 5213, 236778, 236761, 2088, 21617, 5774, 220122, 531, 212120, 1018, 107, 236772, 5213, 44383, 22204, 66515, 138, 107, 138, 4420, 614, 93595, 10512, 10710, 19246, 699, 630, 79293, 137837, 236764, 901, 2847, 31459, 4889, 236764, 2440, 42442, 1938, 236761, 1174, 1262, 563, 11628, 528, 506, 5213, 236794, 79293, 23260, 1018, 568, 2153, 586, 15283, 769, 1701, 2591, 236787, 107, 138, 236772, 645, 583, 568, 86932, 236768, 1093, 1694, 1061, 28471, 528, 27071, 653, 57450, 236761, 107, 138, 236772, 669, 10710, 11802, 13720, 531, 645, 583, 659, 12809, 531, 13531, 528, 506, 7948, 236761, 108, 236772, 5213, 7315, 236772, 2887, 68327, 66515, 138, 107, 138, 4420, 645, 583, 74940, 614, 10710, 531, 496, 5602, 528, 5796, 57450, 236764, 506, 10710, 236858, 236751, 4563, 563, 53946, 2721, 580, 236787, 107, 138, 236772, 669, 93595, 236858, 236751, 12314, 4563, 568, 86932, 769, 107, 138, 236772, 669, 93595, 236858, 236751, 6145, 3707, 12308, 568, 236744, 236761, 236759, 1126, 10969, 1262, 16545, 769, 108, 236772, 5213, 145370, 222724, 66515, 138, 107, 138, 31810, 1133, 2165, 760, 236779, 1071, 236779, 14801, 236929, 1161, 34438, 568, 236744, 236761, 236759, 1126, 8645, 65153, 236764, 10710, 3906, 236768, 600, 4187, 212120, 531, 11024, 684, 155979, 630, 3359, 8735, 532, 93595, 236772, 56082, 1262, 236761, 3153, 236787, 107, 138, 236772, 62590, 9796, 580, 1217, 11572, 179683, 4610, 910, 630, 79293, 8735, 236761, 107, 138, 236772, 212120, 1456, 4323, 5213, 97268, 236751, 125546, 5213, 6329, 51640, 125546, 653, 5213, 23104, 12230, 1018, 1149, 1407, 85373, 568, 236744, 236761, 236759, 1126, 496, 57450, 10704, 1699, 496, 749, 236761, 236773, 236761, 36768, 7412, 618, 623, 27211, 4184, 4248, 108, 7243, 108, 10354, 5213, 236800, 236761, 14691, 236787, 10710, 93784, 528, 13531, 1018, 107, 236772, 5213, 236788, 583, 568, 119110, 62902, 236787, 138, 107, 138, 236788, 583, 9258, 10710, 21280, 1133, 2165, 236828, 236771, 236761, 236778, 236778, 236778, 236761, 236771, 236761, 236771, 236786, 236770, 236825, 236929, 568, 139661, 236812, 236768, 532, 2165, 236778, 236771, 236771, 236770, 236787, 236832, 236770, 236828, 1480, 236786, 236800, 236778, 236929, 568, 139661, 236825, 779, 28606, 684, 630, 79293, 137837, 236761, 3143, 659, 1456, 573, 5103, 528, 13531, 236761, 138, 107, 138, 236772, 562, 5602, 528, 57450, 1699, 645, 583, 236858, 236751, 3707, 1093, 5908, 614, 10710, 699, 1239, 21280, 236764, 837, 179692, 6436, 4187, 531, 5213, 86932, 568, 7742, 62902, 236761, 108, 236772, 5213, 48818, 13531, 568, 119110, 62902, 236787, 138, 107, 138, 33578, 236751, 21280, 1133, 2165, 236828, 236825, 236761, 236800, 236778, 236761, 236771, 236761, 236771, 236786, 236770, 236800, 21233, 562, 17488, 5602, 528, 27071, 1093, 24977, 1407, 618, 623, 86932, 1781, 108, 7243, 108, 10354, 5213, 236812, 236761, 137727, 529, 10710, 3563, 60613, 1018, 107, 236772, 5213, 3949, 13386, 22204, 66515, 138, 107, 138, 2859, 614, 93595, 20269, 531, 4610, 1061, 630, 79293, 15020, 568, 236744, 236761, 236759, 1126, 16996, 496, 10969, 4408, 779, 179692, 6436, 1149, 1407, 21648, 11024, 236761, 107, 236772, 5213, 50384, 49598, 66515, 138, 107, 138, 12575, 179683, 1161, 54809, 12230, 236761, 1701, 2591, 236764, 496, 13023, 57450, 2430, 2473, 3371, 531, 496, 1262, 3988, 528, 27071, 236764, 3043, 910, 10710, 3196, 5143, 607, 27071, 236761, 107, 236772, 5213, 52581, 25373, 66515, 138, 107, 138, 97268, 236751, 236764, 9049, 236764, 653, 6551, 109000, 740, 7441, 506, 1847, 4563, 11716, 236761, 108, 7243, 108, 10354, 5213, 3503, 12774, 14968, 1018, 107, 236776, 30781, 16530, 10710, 3421, 568, 236744, 236761, 236759, 1126, 699, 645, 583, 653, 17488, 13531, 236768, 1093, 14245, 531, 5213, 86932, 568, 7742, 62902, 528, 179692, 6436, 1547, 236787, 107, 236770, 236761, 669, 10710, 3355, 563, 28606, 531, 614, 16530, 93595, 684, 630, 79293, 137837, 236761, 107, 236778, 236761, 669, 93595, 236858, 236751, 15020, 4889, 528, 506, 630, 79293, 23260, 20193, 13531, 236761, 108, 2859, 611, 5908, 614, 10710, 699, 822, 149590, 3662, 528, 57450, 236764, 564, 740, 16807, 3363, 625, 100146, 607, 672, 10318, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 4875, 531, 1076, 872, 496, 2268, 2780, 7200, 573, 1041, 12441, 7789, 237028, 93424, 1041, 1028, 38961, 2665, 510, 14655, 23642, 532, 1724, 677, 2538, 135556, 24988, 564, 236858, 560, 1010, 170878, 236761, 564, 691, 6972, 529, 1699, 623, 236794, 37110, 1416, 236780, 5530, 495, 2665, 236791, 14655, 236761, 854, 236775, 618, 506, 8610, 236764, 840, 564, 236858, 236757, 711, 2889, 768, 600, 236858, 236751, 496, 51415, 886, 236761, 3551, 40135, 1176, 1070, 26104, 974, 85859, 618, 15404, 236764, 532, 564, 1537, 236858, 236745, 1461, 531, 8321, 990, 580, 2613, 600, 2810, 236858, 236745, 6568, 236761, 28344, 611, 2426, 768, 600, 236858, 236751, 51415, 532, 7463, 3600, 496, 2480, 9302, 768, 625, 563, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 138918, 535, 1166, 5530, 2949, 670, 14655, 236761, 854, 827, 623, 511, 236779, 2763, 49090, 1083, 2416, 236783, 106, 107, 105, 4368, 107, 818, 8610, 5213, 236794, 37110, 1416, 236780, 5530, 495, 2665, 236791, 14655, 236761, 854, 1018, 568, 504, 1061, 67505, 9363, 236764, 2165, 138918, 535, 1166, 5530, 2949, 670, 14655, 236761, 854, 18833, 563, 5213, 2217, 51415, 125546, 3894, 531, 506, 8610, 2426, 236761, 1174, 2820, 625, 236858, 236751, 496, 4341, 236764, 1908, 236772, 103887, 8610, 532, 9273, 573, 822, 2780, 7200, 236888, 236743, 250046, 239794, 108, 3771, 9302, 25394, 563, 4354, 2338, 506, 8610, 563, 10778, 6338, 236761, 3153, 236764, 1680, 62317, 236764, 564, 236858, 236753, 5840, 236787, 107, 236770, 236761, 16193, 236772, 73357, 8610, 15830, 4323, 496, 70325, 568, 236744, 236761, 236759, 1126, 7343, 87708, 236764, 3764, 155490, 769, 107, 236778, 236761, 146671, 506, 1463, 100146, 607, 822, 5500, 568, 236744, 236761, 236759, 1126, 623, 236780, 5530, 495, 2665, 593, 14655, 236775, 563, 15195, 99270, 2180, 496, 2557, 528, 506, 8610, 769, 108, 11069, 40135, 236858, 236751, 4561, 691, 4341, 573, 808, 6774, 236829, 26104, 568, 5282, 2165, 7617, 2618, 236761, 854, 59740, 840, 672, 886, 563, 4011, 573, 496, 7200, 236888, 236743, 249407, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 4658, 1663, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 4875, 531, 1076, 872, 496, 2268, 2780, 7200, 573, 1041, 12441, 7789, 237028, 93424, 1041, 1028, 38961, 2665, 510, 14655, 23642, 532, 1724, 677, 2538, 135556, 24988, 564, 236858, 560, 1010, 170878, 236761, 564, 691, 6972, 529, 1699, 623, 236794, 37110, 1416, 236780, 5530, 495, 2665, 236791, 14655, 236761, 854, 236775, 618, 506, 8610, 236764, 840, 564, 236858, 236757, 711, 2889, 768, 600, 236858, 236751, 496, 51415, 886, 236761, 3551, 40135, 1176, 1070, 26104, 974, 85859, 618, 15404, 236764, 532, 564, 1537, 236858, 236745, 1461, 531, 8321, 990, 580, 2613, 600, 2810, 236858, 236745, 6568, 236761, 28344, 611, 2426, 768, 600, 236858, 236751, 51415, 532, 7463, 3600, 496, 2480, 9302, 768, 625, 563, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 138918, 535, 1166, 5530, 2949, 670, 14655, 236761, 854, 827, 623, 511, 236779, 2763, 49090, 1083, 2416, 236783, 106, 107, 105, 4368, 107, 818, 8610, 5213, 236794, 37110, 1416, 236780, 5530, 495, 2665, 236791, 14655, 236761, 854, 1018, 568, 504, 1061, 67505, 9363, 236764, 2165, 138918, 535, 1166, 5530, 2949, 670, 14655, 236761, 854, 18833, 563, 5213, 2217, 51415, 125546, 3894, 531, 506, 8610, 2426, 236761, 1174, 2820, 625, 236858, 236751, 496, 4341, 236764, 1908, 236772, 103887, 8610, 532, 9273, 573, 822, 2780, 7200, 236888, 236743, 250046, 239794, 108, 3771, 9302, 25394, 563, 4354, 2338, 506, 8610, 563, 10778, 6338, 236761, 3153, 236764, 1680, 62317, 236764, 564, 236858, 236753, 5840, 236787, 107, 236770, 236761, 16193, 236772, 73357, 8610, 15830, 4323, 496, 70325, 568, 236744, 236761, 236759, 1126, 7343, 87708, 236764, 3764, 155490, 769, 107, 236778, 236761, 146671, 506, 1463, 100146, 607, 822, 5500, 568, 236744, 236761, 236759, 1126, 623, 236780, 5530, 495, 2665, 593, 14655, 236775, 563, 15195, 99270, 2180, 496, 2557, 528, 506, 8610, 769, 108, 11069, 40135, 236858, 236751, 4561, 691, 4341, 573, 808, 6774, 236829, 26104, 568, 5282, 2165, 7617, 2618, 236761, 854, 59740, 840, 672, 886, 563, 4011, 573, 496, 7200, 236888, 236743, 249407, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 4658, 1663, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 563, 506, 10615, 2142, 580, 614, 6828, 529, 609, 236770, 236771, 236771, 236771, 657, 236743, 236810, 236908, 7384, 2142, 573, 236743, 236800, 1518, 236764, 66941, 42688, 236881, 106, 107, 105, 4368, 107, 818, 3847, 6436, 776, 711, 3204, 496, 1292, 573, 31236, 10615, 2142, 236761, 1599, 740, 16333, 625, 1699, 506, 6581, 236787, 108, 9873, 107, 236776, 578, 593, 621, 989, 236769, 236770, 900, 621, 1420, 236782, 236750, 1170, 236749, 958, 898, 5625, 666, 236783, 107, 9873, 108, 10936, 236787, 107, 236772, 609, 593, 578, 236743, 236770, 236771, 236771, 236771, 609, 568, 31798, 236768, 107, 236772, 609, 637, 578, 236743, 236771, 236761, 236771, 236810, 609, 568, 78067, 2142, 3136, 236768, 107, 236772, 609, 538, 578, 236743, 236812, 609, 568, 5262, 38229, 42688, 236768, 107, 236772, 609, 494, 578, 236743, 236800, 609, 568, 33658, 236768, 108, 50702, 609, 562, 56681, 1299, 30579, 609, 593, 609, 531, 974, 506, 2142, 236761, 669, 1354, 563, 8296, 5213, 236795, 236770, 236810, 236819, 236761, 236778, 236832, 84750, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 563, 506, 10615, 2142, 580, 614, 6828, 529, 609, 236770, 236771, 236771, 236771, 657, 236743, 236810, 236908, 7384, 2142, 573, 236743, 236800, 1518, 236764, 66941, 42688, 236881, 106, 107, 105, 4368, 107, 818, 3847, 6436, 776, 711, 3204, 496, 1292, 573, 31236, 10615, 2142, 236761, 1599, 740, 16333, 625, 1699, 506, 6581, 236787, 108, 9873, 107, 236776, 578, 593, 621, 989, 236769, 236770, 900, 621, 1420, 236782, 236750, 1170, 236749, 958, 898, 5625, 666, 236783, 107, 9873, 108, 10936, 236787, 107, 236772, 609, 593, 578, 236743, 236770, 236771, 236771, 236771, 609, 568, 31798, 236768, 107, 236772, 609, 637, 578, 236743, 236771, 236761, 236771, 236810, 609, 568, 78067, 2142, 3136, 236768, 107, 236772, 609, 538, 578, 236743, 236812, 609, 568, 5262, 38229, 42688, 236768, 107, 236772, 609, 494, 578, 236743, 236800, 609, 568, 33658, 236768, 108, 50702, 609, 562, 56681, 1299, 30579, 609, 593, 609, 531, 974, 506, 2142, 236761, 669, 1354, 563, 8296, 5213, 236795, 236770, 236810, 236819, 236761, 236778, 236832, 84750, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236764, 9792, 236761, 564, 236789, 236757, 4875, 531, 1502, 496, 3399, 7972, 573, 1041, 23789, 236764, 532, 564, 1202, 531, 1586, 1070, 49115, 14767, 14942, 237028, 5282, 6436, 653, 15003, 236761, 28344, 611, 1601, 786, 4087, 1679, 1144, 236789, 236751, 2487, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1582, 236779, 547, 1083, 623, 29138, 236797, 236772, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 201320, 20012, 1705, 45220, 827, 623, 22111, 1083, 236743, 236778, 236810, 236764, 623, 9707, 1083, 236743, 236770, 236828, 236761, 236819, 236819, 236764, 623, 6805, 1083, 623, 17136, 23179, 3714, 1582, 236779, 547, 1083, 623, 29138, 236797, 236772, 236771, 236771, 236810, 827, 623, 1201, 1083, 623, 99969, 96294, 81050, 827, 623, 22111, 1083, 236743, 236770, 236810, 236771, 236764, 623, 9707, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6805, 1083, 623, 721, 23370, 23179, 3714, 1582, 236779, 547, 1083, 623, 29138, 236797, 236772, 236771, 236771, 236828, 827, 623, 1201, 1083, 623, 66649, 742, 19871, 111709, 827, 623, 22111, 1083, 236743, 236770, 236778, 236764, 623, 9707, 1083, 236743, 236778, 236778, 236761, 236771, 236764, 623, 6805, 1083, 623, 17136, 23179, 3714, 1582, 236779, 547, 1083, 623, 29138, 236797, 236772, 236771, 236770, 236778, 827, 623, 1201, 1083, 623, 1558, 3274, 33645, 827, 623, 22111, 1083, 236743, 236828, 236764, 623, 9707, 1083, 236743, 236800, 236812, 236761, 236819, 236810, 236764, 623, 6805, 1083, 623, 17136, 23179, 3714, 1582, 236779, 547, 1083, 623, 29138, 236797, 236772, 236771, 236770, 236832, 827, 623, 1201, 1083, 623, 83385, 38882, 116464, 827, 623, 22111, 1083, 236743, 236812, 236771, 236764, 623, 9707, 1083, 236743, 236825, 236761, 236778, 236810, 236764, 623, 6805, 1083, 623, 721, 26293, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236800, 236764, 623, 5594, 236779, 5576, 1083, 1847, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1070, 49115, 14767, 5633, 2487, 528, 822, 2433, 236787, 108, 1018, 8534, 19871, 77245, 53121, 107, 236770, 236761, 5213, 201320, 20012, 1705, 45220, 1018, 138, 107, 139, 236772, 52948, 236787, 236743, 236778, 236810, 2487, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236828, 236761, 236819, 236819, 1546, 138, 108, 236778, 236761, 5213, 99969, 96294, 81050, 1018, 138, 107, 139, 236772, 52948, 236787, 236743, 236770, 236810, 236771, 45352, 2487, 138, 107, 139, 236772, 14584, 236787, 609, 236812, 236761, 236810, 236771, 810, 23370, 138, 108, 236800, 236761, 5213, 66649, 742, 19871, 111709, 1018, 138, 107, 139, 236772, 52948, 236787, 236743, 236770, 236778, 2487, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236778, 236761, 236771, 236771, 1546, 138, 108, 236812, 236761, 5213, 1558, 3274, 33645, 1018, 138, 107, 139, 236772, 52948, 236787, 236743, 236828, 2487, 138, 107, 139, 236772, 14584, 236787, 609, 236800, 236812, 236761, 236819, 236810, 1546, 138, 108, 236810, 236761, 5213, 83385, 38882, 116464, 1018, 138, 107, 139, 236772, 52948, 236787, 236743, 236812, 236771, 2487, 138, 107, 139, 236772, 14584, 236787, 609, 236825, 236761, 236778, 236810, 810, 26293, 138, 108, 3810, 659, 5213, 236778, 236800, 2558, 4852, 1018, 3418, 236743, 236800, 7704, 568, 7624, 236858, 500, 5633, 24099, 3104, 236743, 236770, 769, 1637, 611, 236858, 236753, 1133, 531, 11327, 919, 3835, 653, 1202, 4889, 1003, 496, 3530, 4188, 236764, 1531, 786, 1281, 236888, 1701, 496, 3399, 7972, 236764, 506, 10338, 45352, 532, 44166, 6436, 2473, 577, 4285, 6684, 531, 12261, 3041, 822, 2203, 236761, 178829, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236764, 9792, 236761, 564, 236789, 236757, 4875, 531, 1502, 496, 3399, 7972, 573, 1041, 23789, 236764, 532, 564, 1202, 531, 1586, 1070, 49115, 14767, 14942, 237028, 5282, 6436, 653, 15003, 236761, 28344, 611, 1601, 786, 4087, 1679, 1144, 236789, 236751, 2487, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1582, 236779, 547, 1083, 623, 29138, 236797, 236772, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 201320, 20012, 1705, 45220, 827, 623, 22111, 1083, 236743, 236778, 236810, 236764, 623, 9707, 1083, 236743, 236770, 236828, 236761, 236819, 236819, 236764, 623, 6805, 1083, 623, 17136, 23179, 3714, 1582, 236779, 547, 1083, 623, 29138, 236797, 236772, 236771, 236771, 236810, 827, 623, 1201, 1083, 623, 99969, 96294, 81050, 827, 623, 22111, 1083, 236743, 236770, 236810, 236771, 236764, 623, 9707, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6805, 1083, 623, 721, 23370, 23179, 3714, 1582, 236779, 547, 1083, 623, 29138, 236797, 236772, 236771, 236771, 236828, 827, 623, 1201, 1083, 623, 66649, 742, 19871, 111709, 827, 623, 22111, 1083, 236743, 236770, 236778, 236764, 623, 9707, 1083, 236743, 236778, 236778, 236761, 236771, 236764, 623, 6805, 1083, 623, 17136, 23179, 3714, 1582, 236779, 547, 1083, 623, 29138, 236797, 236772, 236771, 236770, 236778, 827, 623, 1201, 1083, 623, 1558, 3274, 33645, 827, 623, 22111, 1083, 236743, 236828, 236764, 623, 9707, 1083, 236743, 236800, 236812, 236761, 236819, 236810, 236764, 623, 6805, 1083, 623, 17136, 23179, 3714, 1582, 236779, 547, 1083, 623, 29138, 236797, 236772, 236771, 236770, 236832, 827, 623, 1201, 1083, 623, 83385, 38882, 116464, 827, 623, 22111, 1083, 236743, 236812, 236771, 236764, 623, 9707, 1083, 236743, 236825, 236761, 236778, 236810, 236764, 623, 6805, 1083, 623, 721, 26293, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236800, 236764, 623, 5594, 236779, 5576, 1083, 1847, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1070, 49115, 14767, 5633, 2487, 528, 822, 2433, 236787, 108, 1018, 8534, 19871, 77245, 53121, 107, 236770, 236761, 5213, 201320, 20012, 1705, 45220, 1018, 138, 107, 139, 236772, 52948, 236787, 236743, 236778, 236810, 2487, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236828, 236761, 236819, 236819, 1546, 138, 108, 236778, 236761, 5213, 99969, 96294, 81050, 1018, 138, 107, 139, 236772, 52948, 236787, 236743, 236770, 236810, 236771, 45352, 2487, 138, 107, 139, 236772, 14584, 236787, 609, 236812, 236761, 236810, 236771, 810, 23370, 138, 108, 236800, 236761, 5213, 66649, 742, 19871, 111709, 1018, 138, 107, 139, 236772, 52948, 236787, 236743, 236770, 236778, 2487, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236778, 236761, 236771, 236771, 1546, 138, 108, 236812, 236761, 5213, 1558, 3274, 33645, 1018, 138, 107, 139, 236772, 52948, 236787, 236743, 236828, 2487, 138, 107, 139, 236772, 14584, 236787, 609, 236800, 236812, 236761, 236819, 236810, 1546, 138, 108, 236810, 236761, 5213, 83385, 38882, 116464, 1018, 138, 107, 139, 236772, 52948, 236787, 236743, 236812, 236771, 2487, 138, 107, 139, 236772, 14584, 236787, 609, 236825, 236761, 236778, 236810, 810, 26293, 138, 108, 3810, 659, 5213, 236778, 236800, 2558, 4852, 1018, 3418, 236743, 236800, 7704, 568, 7624, 236858, 500, 5633, 24099, 3104, 236743, 236770, 769, 1637, 611, 236858, 236753, 1133, 531, 11327, 919, 3835, 653, 1202, 4889, 1003, 496, 3530, 4188, 236764, 1531, 786, 1281, 236888, 1701, 496, 3399, 7972, 236764, 506, 10338, 45352, 532, 44166, 6436, 2473, 577, 4285, 6684, 531, 12261, 3041, 822, 2203, 236761, 178829, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 221849, 7946, 600, 28619, 1041, 2765, 573, 78294, 26448, 532, 27893, 236761, 564, 236789, 236753, 1133, 531, 3517, 11024, 600, 13696, 65966, 1133, 160500, 1651, 18206, 21037, 89154, 236761, 3199, 611, 1171, 2426, 20692, 85437, 47880, 236789, 236751, 17489, 573, 34091, 607, 28885, 13792, 653, 3361, 39339, 531, 7591, 236789, 236751, 9630, 9252, 236881, 564, 236789, 236757, 3182, 573, 496, 236743, 236770, 236778, 236772, 236770, 236810, 1719, 76717, 607, 21037, 14644, 528, 5142, 236743, 236778, 236771, 236778, 236812, 236761, 1637, 910, 4077, 17489, 1537, 236789, 236745, 4691, 236764, 1451, 611, 11327, 9302, 20573, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2426, 20692, 85437, 47880, 236789, 236751, 31622, 573, 611, 236761, 3153, 236764, 564, 6303, 910, 4077, 17489, 1186, 2174, 127744, 1534, 236743, 236800, 236772, 236770, 236771, 2668, 236764, 1651, 611, 236789, 500, 12985, 496, 236743, 236770, 236778, 236772, 236770, 236810, 1719, 76717, 236761, 3792, 786, 11327, 910, 3835, 573, 11024, 607, 28885, 13792, 236787, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 24775, 1083, 870, 107, 140, 236782, 107, 142, 236775, 3617, 236779, 1201, 1083, 623, 23524, 212517, 72791, 42055, 827, 107, 142, 236775, 19001, 236779, 14356, 1083, 236743, 236770, 236812, 236764, 107, 142, 236775, 69518, 1083, 623, 114292, 827, 107, 142, 236775, 509, 159502, 236779, 209668, 1083, 870, 107, 144, 236775, 141746, 9241, 10116, 9090, 568, 14979, 46680, 236772, 52728, 101905, 22730, 107, 144, 236775, 72577, 58619, 1222, 86982, 112833, 101049, 827, 107, 144, 236775, 111534, 3395, 598, 1004, 607, 42196, 1228, 8904, 236775, 107, 142, 1604, 107, 142, 236775, 56905, 1083, 642, 107, 144, 236775, 27403, 236779, 236778, 236771, 236778, 236812, 1083, 642, 107, 144, 236775, 65758, 1264, 1083, 11058, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236778, 14255, 107, 144, 236775, 4043, 236779, 57569, 1083, 236743, 236828, 107, 142, 236783, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 3617, 236779, 1201, 1083, 623, 23395, 4027, 7657, 212517, 20369, 827, 107, 142, 236775, 19001, 236779, 14356, 1083, 236743, 236770, 236771, 236764, 107, 142, 236775, 69518, 1083, 623, 114292, 827, 107, 142, 236775, 509, 159502, 236779, 209668, 1083, 870, 107, 144, 236775, 8728, 9090, 34976, 1719, 827, 107, 144, 236775, 23406, 6247, 21196, 528, 71743, 8928, 622, 5928, 827, 107, 144, 236775, 182406, 9226, 68371, 236775, 107, 142, 1604, 107, 142, 236775, 56905, 1083, 642, 107, 144, 236775, 27403, 236779, 236778, 236771, 236778, 236812, 1083, 642, 107, 144, 236775, 65758, 1264, 1083, 11058, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236828, 14255, 107, 144, 236775, 4043, 236779, 57569, 1083, 236743, 236812, 107, 142, 236783, 107, 140, 236783, 107, 138, 1604, 107, 138, 236775, 66414, 236779, 30400, 236779, 8194, 1083, 870, 107, 140, 236782, 107, 142, 236775, 2661, 6139, 236779, 68122, 1083, 1847, 236764, 107, 142, 236775, 509, 159502, 236779, 23184, 1083, 623, 42362, 78294, 26448, 37297, 657, 41997, 11024, 236775, 107, 140, 236783, 107, 138, 1604, 107, 138, 236775, 12697, 1854, 236779, 10082, 1083, 1847, 107, 236783, 106, 107, 105, 4368, 107, 236777, 1765, 496, 4011, 4241, 573, 822, 10521, 236888, 20692, 85437, 47880, 5469, 496, 5213, 236770, 236812, 236772, 1496, 623, 23524, 212517, 72791, 42055, 236775, 1018, 8289, 607, 21037, 14644, 568, 25541, 822, 236743, 236770, 236778, 236772, 236770, 236810, 1719, 2864, 779, 18482, 236787, 107, 236772, 5213, 14979, 46680, 236772, 52728, 101905, 1018, 657, 28334, 9241, 10116, 9090, 107, 236772, 5213, 42362, 78294, 26448, 37297, 1018, 657, 41997, 11024, 107, 236772, 32462, 68371, 607, 42196, 1228, 8904, 108, 21550, 528, 5142, 236743, 236778, 236771, 236778, 236812, 607, 97200, 580, 236743, 236825, 236786, 236770, 236810, 532, 236743, 236825, 236786, 236778, 236778, 568, 236828, 26870, 1546, 769, 669, 76717, 5132, 80394, 101049, 532, 3425, 32844, 236764, 170730, 506, 9630, 9252, 236789, 236751, 20997, 39339, 236761, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 46071, 61988, 3835, 573, 672, 8289, 568, 236744, 236761, 236759, 1126, 8009, 2147, 26448, 14845, 20625, 107, 236778, 236761, 7179, 768, 910, 1953, 680, 212681, 174476, 17489, 2729, 3361, 28885, 236772, 68122, 204464, 236881, 107, 236800, 236761, 10703, 11870, 9302, 20573, 768, 672, 4038, 236789, 236745, 8913, 607, 822, 10040, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 611, 531, 2426, 20692, 85437, 236789, 236751, 1953, 680, 212681, 174476, 17489, 573, 3361, 28885, 236772, 68122, 204464, 236761, 5978, 7657, 212517, 236789, 236751, 76717, 12054, 33348, 236764, 564, 236789, 236757, 23210, 768, 910, 1032, 34091, 2473, 2729, 496, 919, 32163, 5603, 531, 78294, 26448, 236789, 236751, 3756, 22888, 236761, 28344, 611, 10769, 506, 1953, 680, 212681, 174476, 3835, 528, 3755, 529, 14644, 1984, 236764, 12032, 19142, 236764, 532, 1027, 26448, 236772, 10619, 14929, 901, 2473, 3204, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3617, 236779, 1201, 1083, 623, 3586, 680, 212681, 174476, 72791, 42055, 79992, 827, 623, 209668, 1083, 11058, 154102, 10565, 16349, 159689, 160500, 1037, 108726, 827, 623, 79796, 42383, 2897, 142085, 607, 73887, 76677, 827, 623, 173501, 101905, 72139, 9630, 9252, 39339, 14255, 623, 69518, 236779, 5909, 1083, 623, 114292, 827, 623, 19001, 236779, 8194, 1083, 11058, 236770, 236771, 2668, 827, 623, 236770, 236812, 2668, 14255, 623, 18700, 236779, 20967, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236771, 236770, 531, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236800, 236771, 827, 623, 61823, 236779, 56905, 1083, 3714, 66414, 236779, 236745, 2278, 1083, 1847, 236764, 623, 4043, 236779, 2086, 236779, 8194, 1083, 11058, 92810, 827, 623, 780, 236748, 827, 623, 10732, 236779, 4043, 14255, 623, 18700, 1083, 1847, 1263, 623, 509, 159502, 1083, 78493, 1496, 1083, 236743, 236770, 236764, 623, 7125, 1083, 623, 3586, 680, 212681, 174476, 10116, 827, 623, 13692, 1083, 623, 91011, 532, 17183, 607, 78294, 26448, 8349, 5689, 23179, 3714, 1496, 1083, 236743, 236778, 236764, 623, 7125, 1083, 623, 236796, 2032, 10089, 827, 623, 13692, 1083, 623, 236774, 23328, 531, 1494, 80756, 101905, 607, 160500, 14993, 20627, 23179, 3714, 1496, 1083, 236743, 236800, 236764, 623, 7125, 1083, 623, 88754, 9630, 827, 623, 13692, 1083, 623, 7166, 6758, 532, 26448, 6013, 6478, 657, 96884, 13288, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 1953, 680, 212681, 174476, 236789, 236751, 28885, 236772, 68122, 40681, 607, 506, 7657, 212517, 5086, 236787, 108, 1018, 3586, 680, 212681, 174476, 72791, 42055, 79992, 1018, 138, 107, 236772, 5213, 21160, 66515, 236743, 236770, 236771, 653, 236743, 236770, 236812, 2668, 568, 25541, 822, 236743, 236770, 236778, 236772, 236770, 236810, 1719, 4771, 607, 19142, 236768, 138, 107, 236772, 5213, 98641, 66515, 90434, 568, 7341, 236751, 607, 822, 24104, 236768, 138, 107, 236772, 5213, 10541, 6139, 137944, 66515, 138, 107, 138, 236772, 160500, 236772, 52728, 623, 6169, 4637, 236775, 657, 174476, 10089, 138, 107, 138, 236772, 18245, 26448, 14993, 20627, 532, 16856, 14845, 568, 236744, 236761, 236759, 1126, 160500, 657, 34644, 9630, 236768, 138, 107, 138, 236772, 78294, 26448, 8349, 5689, 3324, 16257, 138, 107, 236772, 5213, 35093, 25772, 66515, 138, 107, 138, 236772, 4333, 3319, 2299, 11550, 568, 92810, 236786, 780, 236748, 236786, 10732, 2299, 3835, 236768, 138, 107, 138, 236772, 48808, 2897, 142085, 607, 73887, 76677, 138, 107, 138, 236772, 5142, 15830, 568, 27403, 236743, 236770, 236964, 236800, 236771, 236768, 607, 5065, 27197, 14069, 138, 108, 1018, 23524, 212517, 72791, 42055, 1018, 138, 107, 236772, 5213, 21160, 66515, 41317, 236743, 236770, 236812, 2668, 138, 107, 236772, 5213, 98641, 66515, 90434, 138, 107, 236772, 5213, 10541, 6139, 137944, 66515, 138, 107, 138, 236772, 28334, 9241, 10116, 9090, 236789, 236751, 623, 14979, 46680, 236772, 52728, 101905, 236775, 138, 107, 138, 236772, 148735, 26448, 37297, 657, 41997, 72995, 138, 107, 138, 236772, 32462, 3395, 598, 1004, 607, 2263, 8904, 138, 108, 1018, 3503, 85737, 66515, 138, 107, 236770, 236761, 5213, 3898, 41331, 66515, 1953, 680, 212681, 174476, 5469, 8935, 236786, 780, 236748, 3835, 7728, 236761, 7657, 212517, 236789, 236751, 2299, 236772, 54686, 4313, 138, 107, 236778, 236761, 5213, 10541, 13184, 43645, 66515, 1953, 680, 212681, 174476, 5132, 31044, 28885, 5085, 568, 20263, 20627, 236764, 16856, 14845, 236768, 138, 107, 236800, 236761, 5213, 70980, 66515, 7657, 212517, 58811, 80394, 72995, 236793, 1953, 680, 212681, 174476, 21132, 580, 160434, 117168, 532, 9630, 9252, 89560, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 46071, 61988, 3835, 573, 3477, 8289, 568, 236744, 236761, 236759, 1126, 2147, 26448, 26309, 20625, 138, 107, 236778, 236761, 44906, 21212, 653, 22162, 72320, 236881, 138, 107, 236800, 236761, 10703, 11870, 16217, 195942, 26614, 1800, 11024, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1171, 2426, 768, 506, 1953, 680, 212681, 174476, 236743, 236770, 236812, 236772, 1496, 40681, 5862, 573, 61988, 607, 2147, 26448, 26309, 653, 52705, 16856, 14845, 236881, 6542, 236764, 9128, 768, 910, 5142, 236743, 236770, 236964, 236800, 236771, 15830, 5132, 97200, 600, 1093, 2174, 496, 236743, 236770, 236812, 236772, 1496, 7946, 16548, 1680, 5505, 236743, 236770, 236761, 1637, 61988, 563, 2653, 236764, 1451, 611, 18161, 506, 4767, 5384, 532, 107634, 24481, 573, 8935, 39393, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 3586, 680, 212681, 174476, 827, 623, 509, 159502, 236779, 209668, 1083, 11058, 154102, 22249, 62803, 529, 7591, 236789, 236751, 9630, 9252, 827, 623, 227042, 28885, 26931, 529, 27148, 236772, 52728, 70836, 827, 623, 173501, 101905, 607, 78294, 26448, 6013, 20627, 827, 623, 171656, 35207, 14845, 657, 160500, 43633, 14255, 623, 69518, 236779, 5909, 1083, 623, 114292, 827, 623, 19001, 236779, 8194, 1083, 3714, 236770, 236812, 236779, 14356, 1083, 3714, 56905, 1083, 623, 27403, 236743, 236778, 236771, 236778, 236812, 827, 623, 509, 159502, 1083, 11058, 13265, 236743, 236770, 236772, 236800, 236787, 9630, 9252, 236772, 52728, 23844, 22824, 827, 623, 13265, 236743, 236812, 236772, 236832, 236787, 7657, 212517, 145974, 28885, 40681, 827, 623, 13265, 236743, 236828, 236772, 236770, 236771, 236787, 4819, 236772, 99062, 26448, 30037, 827, 623, 13265, 236743, 236770, 236770, 236772, 236770, 236812, 236787, 32462, 68371, 607, 2263, 3925, 213160, 1935, 5237, 623, 4043, 236779, 2086, 1083, 3714, 44595, 1083, 236743, 236770, 236764, 623, 42409, 1083, 236743, 236828, 236764, 623, 4002, 236779, 61823, 1083, 236743, 236770, 1263, 623, 56905, 1083, 3714, 27403, 236779, 236778, 236771, 236778, 236812, 1083, 1847, 1263, 623, 66414, 236779, 30400, 236779, 13308, 1083, 3714, 109982, 1083, 1847, 236764, 623, 16518, 1083, 11058, 91334, 28885, 26309, 827, 623, 236799, 53300, 26448, 37297, 827, 623, 16493, 16314, 76717, 20627, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 25890, 573, 1953, 680, 212681, 174476, 236789, 236751, 236743, 236770, 236812, 236772, 1496, 40681, 61988, 236787, 108, 1018, 16493, 1854, 28636, 13810, 8593, 1018, 138, 107, 236770, 236761, 5213, 29335, 56852, 86846, 66515, 138, 107, 139, 236772, 63368, 528, 28172, 4469, 4889, 568, 78885, 28885, 26309, 607, 97460, 26448, 37297, 236768, 138, 107, 139, 236772, 3199, 2864, 28233, 76717, 20627, 573, 3530, 78294, 65966, 568, 236744, 236761, 236759, 1126, 198449, 4111, 236772, 52728, 16856, 3298, 236768, 138, 107, 236778, 236761, 5213, 818, 1992, 92103, 70097, 66515, 138, 107, 139, 236772, 80126, 35207, 657, 623, 14979, 46680, 43633, 236775, 138, 107, 139, 236772, 220465, 188615, 20627, 657, 80756, 101905, 138, 107, 139, 236772, 59797, 54491, 607, 2263, 65966, 138, 108, 1018, 27403, 236743, 236778, 236771, 236778, 236812, 75669, 1018, 138, 107, 236772, 5213, 125489, 151366, 66515, 7607, 5142, 236743, 236770, 236964, 236800, 236771, 568, 7624, 740, 1502, 1027, 1719, 531, 5330, 15323, 684, 5505, 236743, 236770, 236768, 138, 107, 236772, 5213, 75652, 9187, 6809, 66515, 5142, 236743, 236770, 236832, 573, 236743, 236770, 236812, 236772, 1496, 76717, 16548, 5142, 236743, 236800, 236771, 138, 108, 1018, 98871, 161565, 74812, 1018, 138, 107, 236772, 5213, 3883, 19511, 66515, 38232, 236743, 236770, 32571, 568, 3846, 8935, 236772, 18865, 236768, 138, 107, 236772, 5213, 110873, 66515, 138, 107, 138, 236772, 2301, 8935, 14439, 11317, 568, 164984, 1551, 89154, 4699, 236768, 138, 107, 138, 236772, 11117, 810, 1589, 2721, 580, 14417, 8214, 3019, 568, 67655, 14993, 7087, 1982, 26410, 531, 20692, 85437, 236768, 138, 107, 236772, 5213, 189967, 66515, 21175, 56293, 926, 957, 18814, 5012, 138, 108, 1018, 3503, 25772, 699, 13474, 14503, 1018, 138, 107, 236772, 72791, 76717, 5132, 623, 236799, 53300, 26448, 37297, 236775, 532, 623, 111534, 68371, 607, 2263, 3925, 213160, 236775, 138, 107, 236772, 118176, 1984, 10778, 618, 21037, 607, 71415, 93354, 138, 107, 236772, 1030, 159502, 11802, 2174, 103384, 529, 9226, 2668, 7728, 236761, 89154, 2668, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 41261, 496, 3530, 61988, 2864, 531, 5039, 531, 20692, 85437, 47880, 236881, 138, 107, 236778, 236761, 44906, 5384, 1534, 8935, 532, 33602, 21212, 236881, 138, 107, 236800, 236761, 46071, 16217, 3835, 600, 17794, 1953, 680, 212681, 174476, 236789, 236751, 28885, 3213, 607, 7657, 212517, 236789, 236751, 80394, 72995, 236881, 106, 107, 105, 2364, 107, 88293, 496, 3530, 61988, 2864, 531, 5039, 531, 20692, 85437, 47880, 600, 5132, 236787, 236743, 236770, 236761, 562, 2147, 26448, 8214, 68916, 528, 78294, 11089, 236743, 236778, 236761, 14019, 52705, 16856, 14845, 568, 14979, 46680, 236772, 52728, 101905, 236764, 198449, 4111, 35207, 16746, 236764, 532, 42383, 2897, 26448, 37297, 236768, 236743, 236800, 236761, 125145, 529, 506, 5142, 236743, 236770, 236832, 27197, 3433, 573, 236743, 236770, 236812, 236772, 1496, 15323, 684, 5142, 236743, 236800, 236771, 236743, 236812, 236761, 79913, 4889, 573, 8935, 67302, 2440, 14417, 8214, 3019, 532, 3161, 56293, 926, 957, 18814, 236743, 236810, 236761, 16499, 573, 496, 16217, 76717, 3355, 26614, 1953, 680, 212681, 174476, 236789, 236751, 28885, 5085, 607, 886, 7657, 212517, 80394, 25263, 1719, 9996, 2889, 506, 2864, 16441, 506, 623, 3586, 680, 212681, 174476, 72791, 42055, 79992, 236775, 3393, 532, 58811, 506, 1202, 573, 496, 9813, 25890, 529, 4767, 5384, 6998, 4077, 8289, 21212, 236761, 106, 107, 105, 4368, 107, 1018, 16493, 1854, 16499, 573, 1953, 680, 212681, 174476, 72791, 42055, 79992, 568, 4809, 236787, 24313, 89679, 236772, 236778, 236771, 236778, 236812, 62902, 138, 108, 2021, 236787, 20692, 85437, 47880, 10765, 138, 107, 21288, 236787, 13287, 1854, 16499, 573, 1953, 680, 212681, 174476, 72791, 42055, 79992, 1271, 5142, 236743, 236778, 236771, 236778, 236812, 163351, 138, 108, 31163, 20692, 85437, 47880, 10765, 236764, 138, 108, 236777, 1006, 5712, 531, 35252, 2864, 506, 2269, 188616, 573, 506, 5213, 3586, 680, 212681, 174476, 72791, 42055, 79992, 1018, 568, 236770, 236812, 236772, 1496, 76717, 236768, 75389, 580, 5213, 27403, 236743, 236770, 236832, 236764, 236743, 236778, 236771, 236778, 236812, 125546, 531, 8913, 607, 1041, 10521, 528, 78294, 26448, 532, 8935, 4301, 236761, 7323, 9128, 48851, 532, 2847, 496, 9813, 25890, 529, 4767, 5384, 6998, 506, 4077, 8289, 21212, 236761, 138, 108, 236770, 236761, 5213, 29335, 56852, 15308, 10624, 1854, 1018, 138, 107, 139, 236772, 16499, 573, 496, 8214, 607, 14739, 528, 5213, 154980, 11089, 1018, 568, 145300, 160500, 236764, 198449, 4111, 236764, 532, 42216, 236768, 531, 2080, 162920, 14845, 532, 58344, 969, 39339, 236761, 138, 108, 236778, 236761, 5213, 818, 1992, 92103, 70097, 1018, 138, 107, 139, 236772, 5213, 14979, 46680, 236772, 52728, 53915, 66515, 135460, 4721, 657, 80756, 35280, 573, 188615, 532, 196199, 529, 165996, 31772, 60812, 496, 56153, 42774, 46099, 558, 24456, 53610, 1781, 236829, 138, 107, 139, 236772, 5213, 1980, 497, 4111, 103027, 24495, 66515, 148735, 6478, 657, 496, 97335, 42383, 2897, 4563, 13696, 684, 165996, 818, 630, 764, 529, 506, 41956, 199265, 1781, 236829, 138, 107, 139, 236772, 5213, 233803, 2897, 56852, 150417, 66515, 59797, 97460, 37297, 568, 27832, 236786, 210620, 236768, 657, 496, 160434, 3432, 607, 11858, 73887, 76677, 236761, 138, 108, 236800, 236761, 5213, 27403, 236743, 236770, 236832, 163351, 125145, 1018, 138, 107, 139, 236772, 64063, 15830, 573, 496, 5213, 236770, 236812, 236772, 1496, 76717, 1018, 6250, 5142, 236743, 236770, 236832, 531, 5330, 15323, 684, 5213, 27403, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 84750, 138, 108, 236812, 236761, 5213, 98871, 161565, 79913, 833, 119511, 1018, 138, 107, 139, 236772, 48756, 14993, 573, 5213, 92810, 67302, 21212, 125546, 2440, 236787, 138, 107, 141, 236772, 68039, 1161, 529, 2147, 26309, 573, 784, 2668, 138, 107, 141, 236772, 21175, 56293, 926, 957, 1675, 54472, 138, 107, 141, 236772, 7129, 11955, 8935, 67302, 1270, 88977, 568, 504, 26093, 529, 76494, 12412, 810, 822, 5904, 3072, 236768, 138, 108, 236810, 236761, 5213, 131022, 1030, 159502, 16499, 1018, 138, 107, 139, 236772, 46071, 8009, 5213, 811, 2587, 1719, 1018, 529, 89154, 531, 614, 7657, 212517, 80394, 47583, 568, 236744, 236761, 236759, 1126, 9786, 58619, 1222, 86982, 10116, 9090, 236768, 1913, 506, 9226, 68371, 3355, 568, 34826, 236743, 236770, 236770, 236772, 236770, 236812, 769, 12213, 33972, 532, 2157, 21255, 573, 20843, 14227, 532, 22779, 236761, 138, 108, 1018, 27779, 33197, 1018, 138, 107, 236772, 7323, 2847, 496, 5213, 1257, 236772, 1582, 2157, 25890, 1018, 573, 236787, 138, 107, 138, 236772, 15308, 67365, 12412, 138, 107, 138, 236772, 669, 1992, 6478, 33972, 568, 80234, 236764, 22779, 236764, 990, 75043, 236768, 138, 107, 138, 236772, 50154, 76717, 30981, 568, 23524, 212517, 80394, 1719, 236768, 138, 107, 236772, 64063, 3363, 3161, 56293, 926, 957, 18814, 3204, 18917, 532, 31087, 618, 810, 4077, 8289, 67115, 236761, 138, 108, 236777, 1385, 4448, 531, 822, 9813, 15523, 236761, 201374, 15148, 684, 870, 9397, 3433, 236842, 531, 9584, 20573, 236761, 138, 108, 17043, 23574, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 13948, 8230, 236842, 138, 107, 236840, 70329, 26623, 9661, 236764, 768, 11955, 236842, 138, 108, 7243, 138, 107, 236829, 10282, 236787, 1174, 2864, 48110, 1262, 699, 4487, 5904, 13630, 236764, 2440, 1953, 680, 212681, 174476, 236858, 236751, 61988, 19142, 236764, 5142, 15830, 236764, 532, 16217, 76717, 48851, 236761, 79913, 4889, 532, 16217, 33972, 1660, 1982, 1500, 236772, 1048, 607, 20692, 85437, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 221849, 7946, 600, 28619, 1041, 2765, 573, 78294, 26448, 532, 27893, 236761, 564, 236789, 236753, 1133, 531, 3517, 11024, 600, 13696, 65966, 1133, 160500, 1651, 18206, 21037, 89154, 236761, 3199, 611, 1171, 2426, 20692, 85437, 47880, 236789, 236751, 17489, 573, 34091, 607, 28885, 13792, 653, 3361, 39339, 531, 7591, 236789, 236751, 9630, 9252, 236881, 564, 236789, 236757, 3182, 573, 496, 236743, 236770, 236778, 236772, 236770, 236810, 1719, 76717, 607, 21037, 14644, 528, 5142, 236743, 236778, 236771, 236778, 236812, 236761, 1637, 910, 4077, 17489, 1537, 236789, 236745, 4691, 236764, 1451, 611, 11327, 9302, 20573, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2426, 20692, 85437, 47880, 236789, 236751, 31622, 573, 611, 236761, 3153, 236764, 564, 6303, 910, 4077, 17489, 1186, 2174, 127744, 1534, 236743, 236800, 236772, 236770, 236771, 2668, 236764, 1651, 611, 236789, 500, 12985, 496, 236743, 236770, 236778, 236772, 236770, 236810, 1719, 76717, 236761, 3792, 786, 11327, 910, 3835, 573, 11024, 607, 28885, 13792, 236787, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 24775, 1083, 870, 107, 140, 236782, 107, 142, 236775, 3617, 236779, 1201, 1083, 623, 23524, 212517, 72791, 42055, 827, 107, 142, 236775, 19001, 236779, 14356, 1083, 236743, 236770, 236812, 236764, 107, 142, 236775, 69518, 1083, 623, 114292, 827, 107, 142, 236775, 509, 159502, 236779, 209668, 1083, 870, 107, 144, 236775, 141746, 9241, 10116, 9090, 568, 14979, 46680, 236772, 52728, 101905, 22730, 107, 144, 236775, 72577, 58619, 1222, 86982, 112833, 101049, 827, 107, 144, 236775, 111534, 3395, 598, 1004, 607, 42196, 1228, 8904, 236775, 107, 142, 1604, 107, 142, 236775, 56905, 1083, 642, 107, 144, 236775, 27403, 236779, 236778, 236771, 236778, 236812, 1083, 642, 107, 144, 236775, 65758, 1264, 1083, 11058, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236778, 14255, 107, 144, 236775, 4043, 236779, 57569, 1083, 236743, 236828, 107, 142, 236783, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 3617, 236779, 1201, 1083, 623, 23395, 4027, 7657, 212517, 20369, 827, 107, 142, 236775, 19001, 236779, 14356, 1083, 236743, 236770, 236771, 236764, 107, 142, 236775, 69518, 1083, 623, 114292, 827, 107, 142, 236775, 509, 159502, 236779, 209668, 1083, 870, 107, 144, 236775, 8728, 9090, 34976, 1719, 827, 107, 144, 236775, 23406, 6247, 21196, 528, 71743, 8928, 622, 5928, 827, 107, 144, 236775, 182406, 9226, 68371, 236775, 107, 142, 1604, 107, 142, 236775, 56905, 1083, 642, 107, 144, 236775, 27403, 236779, 236778, 236771, 236778, 236812, 1083, 642, 107, 144, 236775, 65758, 1264, 1083, 11058, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236828, 14255, 107, 144, 236775, 4043, 236779, 57569, 1083, 236743, 236812, 107, 142, 236783, 107, 140, 236783, 107, 138, 1604, 107, 138, 236775, 66414, 236779, 30400, 236779, 8194, 1083, 870, 107, 140, 236782, 107, 142, 236775, 2661, 6139, 236779, 68122, 1083, 1847, 236764, 107, 142, 236775, 509, 159502, 236779, 23184, 1083, 623, 42362, 78294, 26448, 37297, 657, 41997, 11024, 236775, 107, 140, 236783, 107, 138, 1604, 107, 138, 236775, 12697, 1854, 236779, 10082, 1083, 1847, 107, 236783, 106, 107, 105, 4368, 107, 236777, 1765, 496, 4011, 4241, 573, 822, 10521, 236888, 20692, 85437, 47880, 5469, 496, 5213, 236770, 236812, 236772, 1496, 623, 23524, 212517, 72791, 42055, 236775, 1018, 8289, 607, 21037, 14644, 568, 25541, 822, 236743, 236770, 236778, 236772, 236770, 236810, 1719, 2864, 779, 18482, 236787, 107, 236772, 5213, 14979, 46680, 236772, 52728, 101905, 1018, 657, 28334, 9241, 10116, 9090, 107, 236772, 5213, 42362, 78294, 26448, 37297, 1018, 657, 41997, 11024, 107, 236772, 32462, 68371, 607, 42196, 1228, 8904, 108, 21550, 528, 5142, 236743, 236778, 236771, 236778, 236812, 607, 97200, 580, 236743, 236825, 236786, 236770, 236810, 532, 236743, 236825, 236786, 236778, 236778, 568, 236828, 26870, 1546, 769, 669, 76717, 5132, 80394, 101049, 532, 3425, 32844, 236764, 170730, 506, 9630, 9252, 236789, 236751, 20997, 39339, 236761, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 46071, 61988, 3835, 573, 672, 8289, 568, 236744, 236761, 236759, 1126, 8009, 2147, 26448, 14845, 20625, 107, 236778, 236761, 7179, 768, 910, 1953, 680, 212681, 174476, 17489, 2729, 3361, 28885, 236772, 68122, 204464, 236881, 107, 236800, 236761, 10703, 11870, 9302, 20573, 768, 672, 4038, 236789, 236745, 8913, 607, 822, 10040, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 611, 531, 2426, 20692, 85437, 236789, 236751, 1953, 680, 212681, 174476, 17489, 573, 3361, 28885, 236772, 68122, 204464, 236761, 5978, 7657, 212517, 236789, 236751, 76717, 12054, 33348, 236764, 564, 236789, 236757, 23210, 768, 910, 1032, 34091, 2473, 2729, 496, 919, 32163, 5603, 531, 78294, 26448, 236789, 236751, 3756, 22888, 236761, 28344, 611, 10769, 506, 1953, 680, 212681, 174476, 3835, 528, 3755, 529, 14644, 1984, 236764, 12032, 19142, 236764, 532, 1027, 26448, 236772, 10619, 14929, 901, 2473, 3204, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3617, 236779, 1201, 1083, 623, 3586, 680, 212681, 174476, 72791, 42055, 79992, 827, 623, 209668, 1083, 11058, 154102, 10565, 16349, 159689, 160500, 1037, 108726, 827, 623, 79796, 42383, 2897, 142085, 607, 73887, 76677, 827, 623, 173501, 101905, 72139, 9630, 9252, 39339, 14255, 623, 69518, 236779, 5909, 1083, 623, 114292, 827, 623, 19001, 236779, 8194, 1083, 11058, 236770, 236771, 2668, 827, 623, 236770, 236812, 2668, 14255, 623, 18700, 236779, 20967, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236771, 236770, 531, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236800, 236771, 827, 623, 61823, 236779, 56905, 1083, 3714, 66414, 236779, 236745, 2278, 1083, 1847, 236764, 623, 4043, 236779, 2086, 236779, 8194, 1083, 11058, 92810, 827, 623, 780, 236748, 827, 623, 10732, 236779, 4043, 14255, 623, 18700, 1083, 1847, 1263, 623, 509, 159502, 1083, 78493, 1496, 1083, 236743, 236770, 236764, 623, 7125, 1083, 623, 3586, 680, 212681, 174476, 10116, 827, 623, 13692, 1083, 623, 91011, 532, 17183, 607, 78294, 26448, 8349, 5689, 23179, 3714, 1496, 1083, 236743, 236778, 236764, 623, 7125, 1083, 623, 236796, 2032, 10089, 827, 623, 13692, 1083, 623, 236774, 23328, 531, 1494, 80756, 101905, 607, 160500, 14993, 20627, 23179, 3714, 1496, 1083, 236743, 236800, 236764, 623, 7125, 1083, 623, 88754, 9630, 827, 623, 13692, 1083, 623, 7166, 6758, 532, 26448, 6013, 6478, 657, 96884, 13288, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 1953, 680, 212681, 174476, 236789, 236751, 28885, 236772, 68122, 40681, 607, 506, 7657, 212517, 5086, 236787, 108, 1018, 3586, 680, 212681, 174476, 72791, 42055, 79992, 1018, 138, 107, 236772, 5213, 21160, 66515, 236743, 236770, 236771, 653, 236743, 236770, 236812, 2668, 568, 25541, 822, 236743, 236770, 236778, 236772, 236770, 236810, 1719, 4771, 607, 19142, 236768, 138, 107, 236772, 5213, 98641, 66515, 90434, 568, 7341, 236751, 607, 822, 24104, 236768, 138, 107, 236772, 5213, 10541, 6139, 137944, 66515, 138, 107, 138, 236772, 160500, 236772, 52728, 623, 6169, 4637, 236775, 657, 174476, 10089, 138, 107, 138, 236772, 18245, 26448, 14993, 20627, 532, 16856, 14845, 568, 236744, 236761, 236759, 1126, 160500, 657, 34644, 9630, 236768, 138, 107, 138, 236772, 78294, 26448, 8349, 5689, 3324, 16257, 138, 107, 236772, 5213, 35093, 25772, 66515, 138, 107, 138, 236772, 4333, 3319, 2299, 11550, 568, 92810, 236786, 780, 236748, 236786, 10732, 2299, 3835, 236768, 138, 107, 138, 236772, 48808, 2897, 142085, 607, 73887, 76677, 138, 107, 138, 236772, 5142, 15830, 568, 27403, 236743, 236770, 236964, 236800, 236771, 236768, 607, 5065, 27197, 14069, 138, 108, 1018, 23524, 212517, 72791, 42055, 1018, 138, 107, 236772, 5213, 21160, 66515, 41317, 236743, 236770, 236812, 2668, 138, 107, 236772, 5213, 98641, 66515, 90434, 138, 107, 236772, 5213, 10541, 6139, 137944, 66515, 138, 107, 138, 236772, 28334, 9241, 10116, 9090, 236789, 236751, 623, 14979, 46680, 236772, 52728, 101905, 236775, 138, 107, 138, 236772, 148735, 26448, 37297, 657, 41997, 72995, 138, 107, 138, 236772, 32462, 3395, 598, 1004, 607, 2263, 8904, 138, 108, 1018, 3503, 85737, 66515, 138, 107, 236770, 236761, 5213, 3898, 41331, 66515, 1953, 680, 212681, 174476, 5469, 8935, 236786, 780, 236748, 3835, 7728, 236761, 7657, 212517, 236789, 236751, 2299, 236772, 54686, 4313, 138, 107, 236778, 236761, 5213, 10541, 13184, 43645, 66515, 1953, 680, 212681, 174476, 5132, 31044, 28885, 5085, 568, 20263, 20627, 236764, 16856, 14845, 236768, 138, 107, 236800, 236761, 5213, 70980, 66515, 7657, 212517, 58811, 80394, 72995, 236793, 1953, 680, 212681, 174476, 21132, 580, 160434, 117168, 532, 9630, 9252, 89560, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 46071, 61988, 3835, 573, 3477, 8289, 568, 236744, 236761, 236759, 1126, 2147, 26448, 26309, 20625, 138, 107, 236778, 236761, 44906, 21212, 653, 22162, 72320, 236881, 138, 107, 236800, 236761, 10703, 11870, 16217, 195942, 26614, 1800, 11024, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1171, 2426, 768, 506, 1953, 680, 212681, 174476, 236743, 236770, 236812, 236772, 1496, 40681, 5862, 573, 61988, 607, 2147, 26448, 26309, 653, 52705, 16856, 14845, 236881, 6542, 236764, 9128, 768, 910, 5142, 236743, 236770, 236964, 236800, 236771, 15830, 5132, 97200, 600, 1093, 2174, 496, 236743, 236770, 236812, 236772, 1496, 7946, 16548, 1680, 5505, 236743, 236770, 236761, 1637, 61988, 563, 2653, 236764, 1451, 611, 18161, 506, 4767, 5384, 532, 107634, 24481, 573, 8935, 39393, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 3586, 680, 212681, 174476, 827, 623, 509, 159502, 236779, 209668, 1083, 11058, 154102, 22249, 62803, 529, 7591, 236789, 236751, 9630, 9252, 827, 623, 227042, 28885, 26931, 529, 27148, 236772, 52728, 70836, 827, 623, 173501, 101905, 607, 78294, 26448, 6013, 20627, 827, 623, 171656, 35207, 14845, 657, 160500, 43633, 14255, 623, 69518, 236779, 5909, 1083, 623, 114292, 827, 623, 19001, 236779, 8194, 1083, 3714, 236770, 236812, 236779, 14356, 1083, 3714, 56905, 1083, 623, 27403, 236743, 236778, 236771, 236778, 236812, 827, 623, 509, 159502, 1083, 11058, 13265, 236743, 236770, 236772, 236800, 236787, 9630, 9252, 236772, 52728, 23844, 22824, 827, 623, 13265, 236743, 236812, 236772, 236832, 236787, 7657, 212517, 145974, 28885, 40681, 827, 623, 13265, 236743, 236828, 236772, 236770, 236771, 236787, 4819, 236772, 99062, 26448, 30037, 827, 623, 13265, 236743, 236770, 236770, 236772, 236770, 236812, 236787, 32462, 68371, 607, 2263, 3925, 213160, 1935, 5237, 623, 4043, 236779, 2086, 1083, 3714, 44595, 1083, 236743, 236770, 236764, 623, 42409, 1083, 236743, 236828, 236764, 623, 4002, 236779, 61823, 1083, 236743, 236770, 1263, 623, 56905, 1083, 3714, 27403, 236779, 236778, 236771, 236778, 236812, 1083, 1847, 1263, 623, 66414, 236779, 30400, 236779, 13308, 1083, 3714, 109982, 1083, 1847, 236764, 623, 16518, 1083, 11058, 91334, 28885, 26309, 827, 623, 236799, 53300, 26448, 37297, 827, 623, 16493, 16314, 76717, 20627, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 25890, 573, 1953, 680, 212681, 174476, 236789, 236751, 236743, 236770, 236812, 236772, 1496, 40681, 61988, 236787, 108, 1018, 16493, 1854, 28636, 13810, 8593, 1018, 138, 107, 236770, 236761, 5213, 29335, 56852, 86846, 66515, 138, 107, 139, 236772, 63368, 528, 28172, 4469, 4889, 568, 78885, 28885, 26309, 607, 97460, 26448, 37297, 236768, 138, 107, 139, 236772, 3199, 2864, 28233, 76717, 20627, 573, 3530, 78294, 65966, 568, 236744, 236761, 236759, 1126, 198449, 4111, 236772, 52728, 16856, 3298, 236768, 138, 107, 236778, 236761, 5213, 818, 1992, 92103, 70097, 66515, 138, 107, 139, 236772, 80126, 35207, 657, 623, 14979, 46680, 43633, 236775, 138, 107, 139, 236772, 220465, 188615, 20627, 657, 80756, 101905, 138, 107, 139, 236772, 59797, 54491, 607, 2263, 65966, 138, 108, 1018, 27403, 236743, 236778, 236771, 236778, 236812, 75669, 1018, 138, 107, 236772, 5213, 125489, 151366, 66515, 7607, 5142, 236743, 236770, 236964, 236800, 236771, 568, 7624, 740, 1502, 1027, 1719, 531, 5330, 15323, 684, 5505, 236743, 236770, 236768, 138, 107, 236772, 5213, 75652, 9187, 6809, 66515, 5142, 236743, 236770, 236832, 573, 236743, 236770, 236812, 236772, 1496, 76717, 16548, 5142, 236743, 236800, 236771, 138, 108, 1018, 98871, 161565, 74812, 1018, 138, 107, 236772, 5213, 3883, 19511, 66515, 38232, 236743, 236770, 32571, 568, 3846, 8935, 236772, 18865, 236768, 138, 107, 236772, 5213, 110873, 66515, 138, 107, 138, 236772, 2301, 8935, 14439, 11317, 568, 164984, 1551, 89154, 4699, 236768, 138, 107, 138, 236772, 11117, 810, 1589, 2721, 580, 14417, 8214, 3019, 568, 67655, 14993, 7087, 1982, 26410, 531, 20692, 85437, 236768, 138, 107, 236772, 5213, 189967, 66515, 21175, 56293, 926, 957, 18814, 5012, 138, 108, 1018, 3503, 25772, 699, 13474, 14503, 1018, 138, 107, 236772, 72791, 76717, 5132, 623, 236799, 53300, 26448, 37297, 236775, 532, 623, 111534, 68371, 607, 2263, 3925, 213160, 236775, 138, 107, 236772, 118176, 1984, 10778, 618, 21037, 607, 71415, 93354, 138, 107, 236772, 1030, 159502, 11802, 2174, 103384, 529, 9226, 2668, 7728, 236761, 89154, 2668, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 41261, 496, 3530, 61988, 2864, 531, 5039, 531, 20692, 85437, 47880, 236881, 138, 107, 236778, 236761, 44906, 5384, 1534, 8935, 532, 33602, 21212, 236881, 138, 107, 236800, 236761, 46071, 16217, 3835, 600, 17794, 1953, 680, 212681, 174476, 236789, 236751, 28885, 3213, 607, 7657, 212517, 236789, 236751, 80394, 72995, 236881, 106, 107, 105, 2364, 107, 88293, 496, 3530, 61988, 2864, 531, 5039, 531, 20692, 85437, 47880, 600, 5132, 236787, 236743, 236770, 236761, 562, 2147, 26448, 8214, 68916, 528, 78294, 11089, 236743, 236778, 236761, 14019, 52705, 16856, 14845, 568, 14979, 46680, 236772, 52728, 101905, 236764, 198449, 4111, 35207, 16746, 236764, 532, 42383, 2897, 26448, 37297, 236768, 236743, 236800, 236761, 125145, 529, 506, 5142, 236743, 236770, 236832, 27197, 3433, 573, 236743, 236770, 236812, 236772, 1496, 15323, 684, 5142, 236743, 236800, 236771, 236743, 236812, 236761, 79913, 4889, 573, 8935, 67302, 2440, 14417, 8214, 3019, 532, 3161, 56293, 926, 957, 18814, 236743, 236810, 236761, 16499, 573, 496, 16217, 76717, 3355, 26614, 1953, 680, 212681, 174476, 236789, 236751, 28885, 5085, 607, 886, 7657, 212517, 80394, 25263, 1719, 9996, 2889, 506, 2864, 16441, 506, 623, 3586, 680, 212681, 174476, 72791, 42055, 79992, 236775, 3393, 532, 58811, 506, 1202, 573, 496, 9813, 25890, 529, 4767, 5384, 6998, 4077, 8289, 21212, 236761, 106, 107, 105, 4368, 107, 1018, 16493, 1854, 16499, 573, 1953, 680, 212681, 174476, 72791, 42055, 79992, 568, 4809, 236787, 24313, 89679, 236772, 236778, 236771, 236778, 236812, 62902, 138, 108, 2021, 236787, 20692, 85437, 47880, 10765, 138, 107, 21288, 236787, 13287, 1854, 16499, 573, 1953, 680, 212681, 174476, 72791, 42055, 79992, 1271, 5142, 236743, 236778, 236771, 236778, 236812, 163351, 138, 108, 31163, 20692, 85437, 47880, 10765, 236764, 138, 108, 236777, 1006, 5712, 531, 35252, 2864, 506, 2269, 188616, 573, 506, 5213, 3586, 680, 212681, 174476, 72791, 42055, 79992, 1018, 568, 236770, 236812, 236772, 1496, 76717, 236768, 75389, 580, 5213, 27403, 236743, 236770, 236832, 236764, 236743, 236778, 236771, 236778, 236812, 125546, 531, 8913, 607, 1041, 10521, 528, 78294, 26448, 532, 8935, 4301, 236761, 7323, 9128, 48851, 532, 2847, 496, 9813, 25890, 529, 4767, 5384, 6998, 506, 4077, 8289, 21212, 236761, 138, 108, 236770, 236761, 5213, 29335, 56852, 15308, 10624, 1854, 1018, 138, 107, 139, 236772, 16499, 573, 496, 8214, 607, 14739, 528, 5213, 154980, 11089, 1018, 568, 145300, 160500, 236764, 198449, 4111, 236764, 532, 42216, 236768, 531, 2080, 162920, 14845, 532, 58344, 969, 39339, 236761, 138, 108, 236778, 236761, 5213, 818, 1992, 92103, 70097, 1018, 138, 107, 139, 236772, 5213, 14979, 46680, 236772, 52728, 53915, 66515, 135460, 4721, 657, 80756, 35280, 573, 188615, 532, 196199, 529, 165996, 31772, 60812, 496, 56153, 42774, 46099, 558, 24456, 53610, 1781, 236829, 138, 107, 139, 236772, 5213, 1980, 497, 4111, 103027, 24495, 66515, 148735, 6478, 657, 496, 97335, 42383, 2897, 4563, 13696, 684, 165996, 818, 630, 764, 529, 506, 41956, 199265, 1781, 236829, 138, 107, 139, 236772, 5213, 233803, 2897, 56852, 150417, 66515, 59797, 97460, 37297, 568, 27832, 236786, 210620, 236768, 657, 496, 160434, 3432, 607, 11858, 73887, 76677, 236761, 138, 108, 236800, 236761, 5213, 27403, 236743, 236770, 236832, 163351, 125145, 1018, 138, 107, 139, 236772, 64063, 15830, 573, 496, 5213, 236770, 236812, 236772, 1496, 76717, 1018, 6250, 5142, 236743, 236770, 236832, 531, 5330, 15323, 684, 5213, 27403, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 84750, 138, 108, 236812, 236761, 5213, 98871, 161565, 79913, 833, 119511, 1018, 138, 107, 139, 236772, 48756, 14993, 573, 5213, 92810, 67302, 21212, 125546, 2440, 236787, 138, 107, 141, 236772, 68039, 1161, 529, 2147, 26309, 573, 784, 2668, 138, 107, 141, 236772, 21175, 56293, 926, 957, 1675, 54472, 138, 107, 141, 236772, 7129, 11955, 8935, 67302, 1270, 88977, 568, 504, 26093, 529, 76494, 12412, 810, 822, 5904, 3072, 236768, 138, 108, 236810, 236761, 5213, 131022, 1030, 159502, 16499, 1018, 138, 107, 139, 236772, 46071, 8009, 5213, 811, 2587, 1719, 1018, 529, 89154, 531, 614, 7657, 212517, 80394, 47583, 568, 236744, 236761, 236759, 1126, 9786, 58619, 1222, 86982, 10116, 9090, 236768, 1913, 506, 9226, 68371, 3355, 568, 34826, 236743, 236770, 236770, 236772, 236770, 236812, 769, 12213, 33972, 532, 2157, 21255, 573, 20843, 14227, 532, 22779, 236761, 138, 108, 1018, 27779, 33197, 1018, 138, 107, 236772, 7323, 2847, 496, 5213, 1257, 236772, 1582, 2157, 25890, 1018, 573, 236787, 138, 107, 138, 236772, 15308, 67365, 12412, 138, 107, 138, 236772, 669, 1992, 6478, 33972, 568, 80234, 236764, 22779, 236764, 990, 75043, 236768, 138, 107, 138, 236772, 50154, 76717, 30981, 568, 23524, 212517, 80394, 1719, 236768, 138, 107, 236772, 64063, 3363, 3161, 56293, 926, 957, 18814, 3204, 18917, 532, 31087, 618, 810, 4077, 8289, 67115, 236761, 138, 108, 236777, 1385, 4448, 531, 822, 9813, 15523, 236761, 201374, 15148, 684, 870, 9397, 3433, 236842, 531, 9584, 20573, 236761, 138, 108, 17043, 23574, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 13948, 8230, 236842, 138, 107, 236840, 70329, 26623, 9661, 236764, 768, 11955, 236842, 138, 108, 7243, 138, 107, 236829, 10282, 236787, 1174, 2864, 48110, 1262, 699, 4487, 5904, 13630, 236764, 2440, 1953, 680, 212681, 174476, 236858, 236751, 61988, 19142, 236764, 5142, 15830, 236764, 532, 16217, 76717, 48851, 236761, 79913, 4889, 532, 16217, 33972, 1660, 1982, 1500, 236772, 1048, 607, 20692, 85437, 9603, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3153, 236764, 564, 740, 9279, 506, 5149, 1534, 1799, 3773, 532, 5860, 573, 611, 768, 600, 1093, 577, 11045, 236761, 21284, 611, 1133, 786, 531, 776, 600, 5205, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3153, 236764, 564, 740, 9279, 506, 5149, 1534, 1799, 3773, 532, 5860, 573, 611, 768, 600, 1093, 577, 11045, 236761, 21284, 611, 1133, 786, 531, 776, 600, 5205, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 6739, 1041, 3155, 528, 19871, 4085, 532, 1679, 2086, 236764, 840, 564, 1461, 531, 1386, 2889, 506, 2433, 815, 1070, 41260, 16746, 14942, 236761, 5315, 236764, 1586, 786, 496, 1759, 9350, 8726, 1015, 56017, 528, 19871, 4085, 5082, 236761, 9920, 692, 735, 600, 19372, 236764, 564, 236858, 236753, 1133, 531, 2426, 855, 2263, 15576, 12420, 1271, 564, 5630, 9903, 1003, 496, 1977, 2760, 756, 39918, 19212, 14629, 26698, 24435, 236789, 840, 564, 236858, 236757, 711, 2889, 768, 625, 236858, 236751, 2036, 2101, 236761, 7062, 236764, 532, 1651, 611, 236858, 500, 657, 625, 236764, 1041, 60898, 6950, 12376, 97000, 1913, 914, 30319, 1012, 1271, 7463, 611, 1451, 992, 8091, 872, 3364, 97000, 14491, 13803, 506, 2590, 46754, 236881, 5393, 23210, 1217, 600, 4146, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 20154, 1201, 827, 623, 13126, 827, 623, 9707, 827, 623, 10694, 14255, 623, 29995, 1083, 642, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 39918, 19212, 14629, 26698, 24435, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 26698, 25692, 236764, 19871, 4085, 827, 623, 5275, 1083, 623, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 22860, 1236, 1083, 11058, 102241, 2644, 827, 623, 112293, 3826, 827, 623, 1489, 7805, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 1321, 236781, 236779, 73246, 1083, 78493, 22037, 1083, 623, 38556, 236786, 79271, 827, 623, 19330, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 891, 1083, 236743, 236771, 236761, 236828, 236825, 236764, 623, 27617, 236779, 5521, 1083, 623, 38556, 827, 623, 27617, 236779, 20263, 1083, 623, 79271, 23179, 3714, 22037, 1083, 623, 142026, 236786, 38556, 827, 623, 19330, 1083, 236743, 236770, 236761, 236800, 236828, 236764, 623, 891, 1083, 236743, 236770, 236761, 236800, 236819, 236764, 623, 27617, 236779, 5521, 1083, 623, 142026, 827, 623, 27617, 236779, 20263, 1083, 623, 38556, 23179, 3714, 22037, 1083, 623, 38556, 236786, 198481, 827, 623, 19330, 1083, 236743, 236770, 236812, 236819, 236761, 236810, 236764, 623, 891, 1083, 236743, 236770, 236812, 236819, 236761, 236825, 236764, 623, 27617, 236779, 5521, 1083, 623, 38556, 827, 623, 27617, 236779, 20263, 1083, 623, 198481, 25938, 1604, 623, 7655, 1083, 3714, 6275, 236779, 5939, 1083, 623, 3723, 827, 623, 28881, 236779, 103411, 1083, 3714, 22037, 1083, 623, 38556, 827, 623, 27617, 236779, 20263, 1083, 623, 79271, 827, 623, 27617, 236779, 5521, 1083, 623, 38556, 236775, 19465, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 607, 1546, 912, 529, 822, 2864, 2918, 684, 2918, 236761, 3792, 236789, 236751, 1502, 607, 506, 1759, 9350, 8726, 3927, 236787, 108, 236770, 236761, 5213, 20235, 23580, 30636, 528, 19871, 4085, 1018, 138, 107, 7280, 236764, 564, 1202, 496, 3103, 919, 1938, 531, 1586, 506, 1447, 8726, 236761, 28344, 611, 5091, 20193, 236787, 107, 236772, 7129, 12373, 3385, 2644, 573, 822, 1679, 21928, 2033, 236881, 107, 236772, 3314, 2415, 8726, 14470, 568, 236770, 236772, 236810, 20625, 107, 236772, 93089, 5192, 529, 506, 8726, 236881, 107, 236772, 7129, 3530, 8726, 1463, 611, 236789, 560, 6827, 529, 236881, 108, 236778, 236761, 5213, 113581, 24435, 12579, 1018, 138, 107, 236777, 1765, 10829, 19212, 14629, 26698, 24435, 563, 2036, 5158, 607, 236787, 107, 236772, 15874, 236787, 236743, 236770, 236778, 236800, 26698, 25692, 236764, 19871, 4085, 107, 236772, 23386, 236787, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 107, 236772, 47240, 236787, 136723, 236743, 236812, 236761, 236810, 236786, 236810, 107, 236772, 168331, 236787, 65525, 2644, 236764, 78281, 3826, 236764, 1255, 18591, 108, 236800, 236761, 5213, 14555, 236781, 200343, 799, 101672, 23058, 1018, 138, 107, 8291, 659, 1070, 3364, 97000, 14491, 607, 23058, 236787, 107, 236772, 23058, 236786, 79271, 236787, 236743, 236771, 236761, 236828, 236810, 568, 73319, 236768, 753, 236743, 236771, 236761, 236828, 236825, 568, 51455, 236768, 107, 236772, 109384, 236786, 38556, 236787, 236743, 236770, 236761, 236800, 236828, 568, 73319, 236768, 753, 236743, 236770, 236761, 236800, 236819, 568, 51455, 236768, 107, 236772, 23058, 236786, 198481, 236787, 236743, 236770, 236812, 236819, 236761, 236810, 568, 73319, 236768, 753, 236743, 236770, 236812, 236819, 236761, 236825, 568, 51455, 236768, 108, 38786, 611, 1133, 786, 531, 8082, 1217, 97000, 12376, 4146, 607, 1239, 14491, 236881, 106, 107, 105, 2364, 107, 1018, 236770, 236761, 10170, 23580, 30636, 12808, 1018, 80340, 2165, 2305, 236779, 82199, 236929, 607, 6137, 236787, 753, 21617, 236787, 19871, 4085, 753, 14584, 20214, 236787, 8382, 609, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 753, 36702, 236787, 106237, 63685, 5315, 5213, 236778, 236761, 26698, 24435, 36520, 1018, 10352, 2165, 828, 236779, 17540, 236779, 2003, 236779, 1201, 885, 39918, 19212, 14629, 1373, 236929, 531, 9128, 4889, 236764, 1299, 19460, 573, 1032, 19871, 4085, 12420, 531, 10769, 33417, 236761, 5213, 236800, 236761, 107882, 200343, 1018, 2301, 1982, 7426, 5904, 7519, 573, 97000, 14838, 8721, 236764, 840, 564, 740, 2847, 11858, 43866, 1262, 573, 506, 9456, 23058, 14491, 768, 4354, 236761, 9190, 101685, 522, 607, 5904, 9139, 1492, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 20154, 1201, 1083, 623, 46456, 1908, 236772, 11681, 2483, 573, 3149, 7689, 756, 20154, 1201, 75334, 623, 10694, 1083, 623, 46456, 1908, 236772, 11681, 2483, 573, 3149, 7689, 756, 10694, 35773, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 17540, 236779, 1201, 1083, 623, 39918, 19212, 14629, 26698, 24435, 827, 623, 7125, 1083, 3714, 13319, 1083, 623, 115232, 4085, 827, 623, 3255, 1083, 623, 106053, 827, 623, 15905, 1083, 623, 236825, 236832, 236828, 236812, 236825, 23179, 623, 4818, 1083, 623, 5034, 827, 623, 83624, 1083, 236743, 236770, 236828, 236764, 623, 1215, 1083, 236743, 236832, 236778, 236764, 623, 3119, 236779, 46814, 1083, 236743, 236825, 236828, 236771, 236771, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 22860, 1236, 1083, 11058, 102241, 2644, 827, 623, 112293, 3826, 827, 623, 1489, 7805, 827, 623, 90882, 99471, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236770, 236764, 623, 2305, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1321, 236781, 236779, 73246, 1083, 78493, 22037, 1083, 623, 38556, 236786, 79271, 827, 623, 5521, 236779, 27617, 1083, 623, 38556, 827, 623, 20263, 236779, 27617, 1083, 623, 79271, 827, 623, 19330, 1083, 623, 236771, 236761, 236828, 236819, 236778, 236770, 827, 623, 891, 1083, 623, 236771, 236761, 236828, 236819, 236778, 236810, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 22037, 1083, 623, 38556, 236786, 142026, 827, 623, 5521, 236779, 27617, 1083, 623, 38556, 827, 623, 20263, 236779, 27617, 1083, 623, 142026, 827, 623, 19330, 1083, 623, 236771, 236761, 236832, 236832, 236812, 236800, 827, 623, 891, 1083, 623, 236771, 236761, 236832, 236832, 236812, 236832, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 22037, 1083, 623, 38556, 236786, 198481, 827, 623, 5521, 236779, 27617, 1083, 623, 38556, 827, 623, 20263, 236779, 27617, 1083, 623, 198481, 827, 623, 19330, 1083, 623, 236770, 236810, 236771, 236761, 236770, 236778, 827, 623, 891, 1083, 623, 236770, 236810, 236771, 236761, 236770, 236825, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 28881, 236779, 103411, 1083, 3714, 22037, 1083, 623, 38556, 827, 623, 27617, 236779, 20263, 1083, 623, 79271, 827, 623, 27617, 236779, 5521, 1083, 623, 38556, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 82199, 1083, 78493, 1201, 1083, 623, 65897, 98881, 827, 623, 11607, 1083, 623, 13596, 524, 4755, 236940, 500, 6368, 1045, 236761, 854, 827, 623, 5275, 1083, 33865, 236810, 236810, 236810, 236768, 236743, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 9707, 236779, 8572, 1083, 623, 236771, 236779, 236778, 236771, 236771, 236771, 236771, 236771, 827, 623, 70496, 1083, 11058, 501, 14255, 623, 18146, 1363, 236779, 37311, 1083, 11058, 115232, 4085, 827, 623, 20163, 5168, 14255, 623, 13330, 236779, 2883, 1083, 623, 2574, 1411, 500, 6368, 1045, 236761, 854, 236786, 82199, 236786, 13596, 524, 4755, 23179, 3714, 1201, 1083, 623, 34326, 8943, 827, 623, 11607, 1083, 623, 530, 126868, 49811, 236940, 13994, 3806, 1129, 616, 236761, 854, 827, 623, 5275, 1083, 33865, 236810, 236810, 236810, 236768, 236743, 236819, 236828, 236832, 236772, 236825, 236810, 236812, 236800, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 9707, 236779, 8572, 1083, 623, 236771, 236779, 236778, 236771, 236771, 236771, 236771, 236771, 827, 623, 70496, 1083, 11058, 501, 827, 623, 507, 14255, 623, 18146, 1363, 236779, 37311, 1083, 11058, 115232, 4085, 827, 623, 36257, 26600, 14255, 623, 13330, 236779, 2883, 1083, 623, 2574, 1411, 13994, 3806, 1129, 616, 236761, 854, 236786, 82199, 236786, 530, 126868, 49811, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 115232, 4085, 827, 623, 9707, 236779, 8572, 1083, 623, 236771, 236779, 236778, 236771, 236771, 236771, 236771, 236771, 827, 623, 19859, 1083, 623, 501, 827, 623, 13126, 236779, 1387, 1083, 236743, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31044, 12323, 529, 822, 2864, 236787, 108, 1018, 236770, 236761, 8231, 236772, 21998, 19871, 4085, 10170, 23580, 59698, 1018, 138, 107, 11099, 236743, 236778, 11362, 68916, 528, 10374, 1208, 609, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 236787, 107, 236772, 5213, 65897, 98881, 1018, 136723, 236812, 236761, 236828, 138, 107, 138, 249979, 15201, 524, 4755, 236940, 500, 6368, 1045, 236761, 854, 1109, 236743, 246080, 568, 236810, 236810, 236810, 236768, 236743, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 138, 107, 138, 50682, 236787, 19871, 4085, 236764, 164098, 138, 107, 138, 236840, 16679, 5457, 2574, 1411, 500, 6368, 1045, 236761, 854, 236786, 82199, 236786, 13596, 524, 4755, 236768, 108, 236772, 5213, 34326, 8943, 1018, 136723, 236812, 236761, 236810, 138, 107, 138, 249979, 935, 126868, 49811, 236940, 13994, 3806, 1129, 616, 236761, 854, 1109, 236743, 246080, 568, 236810, 236810, 236810, 236768, 236743, 236819, 236828, 236832, 236772, 236825, 236810, 236812, 236800, 138, 107, 138, 100535, 236787, 5422, 236764, 14361, 1109, 53712, 236787, 19871, 4085, 236764, 7123, 26600, 138, 107, 138, 236840, 16679, 5457, 2574, 1411, 13994, 3806, 1129, 616, 236761, 854, 236786, 82199, 236786, 530, 126868, 49811, 236768, 108, 1018, 236778, 236761, 26698, 24435, 12579, 1018, 138, 107, 240732, 5213, 39918, 19212, 14629, 26698, 24435, 1018, 568, 236825, 236832, 236828, 236812, 236825, 236768, 138, 107, 236772, 236743, 236770, 236828, 15629, 236764, 3221, 236743, 236832, 236778, 236764, 236743, 236825, 236764, 236828, 236771, 236771, 15844, 138, 107, 236772, 136723, 236812, 236761, 236800, 14470, 1109, 168331, 236787, 65525, 2644, 236764, 1255, 7805, 236764, 29223, 138, 107, 236772, 23531, 532, 17934, 568, 5455, 27662, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236768, 108, 1018, 236800, 236761, 23058, 107882, 200343, 1018, 138, 107, 8782, 6224, 568, 527, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 1473, 138, 107, 236909, 58108, 142, 236909, 51936, 140, 236909, 29020, 140, 236909, 138, 107, 236909, 40673, 236909, 1611, 236909, 1611, 236909, 138, 107, 236909, 23058, 16130, 35594, 1109, 11361, 236771, 236761, 236828, 236819, 236778, 236770, 236909, 11361, 236771, 236761, 236828, 236819, 236778, 236810, 236909, 138, 107, 236909, 23058, 16130, 109384, 1109, 6903, 236771, 236761, 236832, 236832, 236812, 236800, 236909, 6903, 236771, 236761, 236832, 236832, 236812, 236832, 236909, 138, 107, 236909, 23058, 16130, 730, 22965, 1109, 79524, 236770, 236810, 236771, 236761, 236770, 236778, 236909, 79524, 236770, 236810, 236771, 236761, 236770, 236825, 236909, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 42085, 1217, 97000, 12376, 4146, 607, 1239, 14491, 236881, 138, 107, 236778, 236761, 39525, 41260, 2433, 13571, 573, 19871, 4085, 236881, 138, 107, 236800, 236761, 13948, 3477, 8726, 580, 822, 17301, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 6739, 1041, 3155, 528, 19871, 4085, 532, 1679, 2086, 236764, 840, 564, 1461, 531, 1386, 2889, 506, 2433, 815, 1070, 41260, 16746, 14942, 236761, 5315, 236764, 1586, 786, 496, 1759, 9350, 8726, 1015, 56017, 528, 19871, 4085, 5082, 236761, 9920, 692, 735, 600, 19372, 236764, 564, 236858, 236753, 1133, 531, 2426, 855, 2263, 15576, 12420, 1271, 564, 5630, 9903, 1003, 496, 1977, 2760, 756, 39918, 19212, 14629, 26698, 24435, 236789, 840, 564, 236858, 236757, 711, 2889, 768, 625, 236858, 236751, 2036, 2101, 236761, 7062, 236764, 532, 1651, 611, 236858, 500, 657, 625, 236764, 1041, 60898, 6950, 12376, 97000, 1913, 914, 30319, 1012, 1271, 7463, 611, 1451, 992, 8091, 872, 3364, 97000, 14491, 13803, 506, 2590, 46754, 236881, 5393, 23210, 1217, 600, 4146, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 20154, 1201, 827, 623, 13126, 827, 623, 9707, 827, 623, 10694, 14255, 623, 29995, 1083, 642, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 39918, 19212, 14629, 26698, 24435, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 26698, 25692, 236764, 19871, 4085, 827, 623, 5275, 1083, 623, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 22860, 1236, 1083, 11058, 102241, 2644, 827, 623, 112293, 3826, 827, 623, 1489, 7805, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 1321, 236781, 236779, 73246, 1083, 78493, 22037, 1083, 623, 38556, 236786, 79271, 827, 623, 19330, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 891, 1083, 236743, 236771, 236761, 236828, 236825, 236764, 623, 27617, 236779, 5521, 1083, 623, 38556, 827, 623, 27617, 236779, 20263, 1083, 623, 79271, 23179, 3714, 22037, 1083, 623, 142026, 236786, 38556, 827, 623, 19330, 1083, 236743, 236770, 236761, 236800, 236828, 236764, 623, 891, 1083, 236743, 236770, 236761, 236800, 236819, 236764, 623, 27617, 236779, 5521, 1083, 623, 142026, 827, 623, 27617, 236779, 20263, 1083, 623, 38556, 23179, 3714, 22037, 1083, 623, 38556, 236786, 198481, 827, 623, 19330, 1083, 236743, 236770, 236812, 236819, 236761, 236810, 236764, 623, 891, 1083, 236743, 236770, 236812, 236819, 236761, 236825, 236764, 623, 27617, 236779, 5521, 1083, 623, 38556, 827, 623, 27617, 236779, 20263, 1083, 623, 198481, 25938, 1604, 623, 7655, 1083, 3714, 6275, 236779, 5939, 1083, 623, 3723, 827, 623, 28881, 236779, 103411, 1083, 3714, 22037, 1083, 623, 38556, 827, 623, 27617, 236779, 20263, 1083, 623, 79271, 827, 623, 27617, 236779, 5521, 1083, 623, 38556, 236775, 19465, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 607, 1546, 912, 529, 822, 2864, 2918, 684, 2918, 236761, 3792, 236789, 236751, 1502, 607, 506, 1759, 9350, 8726, 3927, 236787, 108, 236770, 236761, 5213, 20235, 23580, 30636, 528, 19871, 4085, 1018, 138, 107, 7280, 236764, 564, 1202, 496, 3103, 919, 1938, 531, 1586, 506, 1447, 8726, 236761, 28344, 611, 5091, 20193, 236787, 107, 236772, 7129, 12373, 3385, 2644, 573, 822, 1679, 21928, 2033, 236881, 107, 236772, 3314, 2415, 8726, 14470, 568, 236770, 236772, 236810, 20625, 107, 236772, 93089, 5192, 529, 506, 8726, 236881, 107, 236772, 7129, 3530, 8726, 1463, 611, 236789, 560, 6827, 529, 236881, 108, 236778, 236761, 5213, 113581, 24435, 12579, 1018, 138, 107, 236777, 1765, 10829, 19212, 14629, 26698, 24435, 563, 2036, 5158, 607, 236787, 107, 236772, 15874, 236787, 236743, 236770, 236778, 236800, 26698, 25692, 236764, 19871, 4085, 107, 236772, 23386, 236787, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 107, 236772, 47240, 236787, 136723, 236743, 236812, 236761, 236810, 236786, 236810, 107, 236772, 168331, 236787, 65525, 2644, 236764, 78281, 3826, 236764, 1255, 18591, 108, 236800, 236761, 5213, 14555, 236781, 200343, 799, 101672, 23058, 1018, 138, 107, 8291, 659, 1070, 3364, 97000, 14491, 607, 23058, 236787, 107, 236772, 23058, 236786, 79271, 236787, 236743, 236771, 236761, 236828, 236810, 568, 73319, 236768, 753, 236743, 236771, 236761, 236828, 236825, 568, 51455, 236768, 107, 236772, 109384, 236786, 38556, 236787, 236743, 236770, 236761, 236800, 236828, 568, 73319, 236768, 753, 236743, 236770, 236761, 236800, 236819, 568, 51455, 236768, 107, 236772, 23058, 236786, 198481, 236787, 236743, 236770, 236812, 236819, 236761, 236810, 568, 73319, 236768, 753, 236743, 236770, 236812, 236819, 236761, 236825, 568, 51455, 236768, 108, 38786, 611, 1133, 786, 531, 8082, 1217, 97000, 12376, 4146, 607, 1239, 14491, 236881, 106, 107, 105, 2364, 107, 1018, 236770, 236761, 10170, 23580, 30636, 12808, 1018, 80340, 2165, 2305, 236779, 82199, 236929, 607, 6137, 236787, 753, 21617, 236787, 19871, 4085, 753, 14584, 20214, 236787, 8382, 609, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 753, 36702, 236787, 106237, 63685, 5315, 5213, 236778, 236761, 26698, 24435, 36520, 1018, 10352, 2165, 828, 236779, 17540, 236779, 2003, 236779, 1201, 885, 39918, 19212, 14629, 1373, 236929, 531, 9128, 4889, 236764, 1299, 19460, 573, 1032, 19871, 4085, 12420, 531, 10769, 33417, 236761, 5213, 236800, 236761, 107882, 200343, 1018, 2301, 1982, 7426, 5904, 7519, 573, 97000, 14838, 8721, 236764, 840, 564, 740, 2847, 11858, 43866, 1262, 573, 506, 9456, 23058, 14491, 768, 4354, 236761, 9190, 101685, 522, 607, 5904, 9139, 1492, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 20154, 1201, 1083, 623, 46456, 1908, 236772, 11681, 2483, 573, 3149, 7689, 756, 20154, 1201, 75334, 623, 10694, 1083, 623, 46456, 1908, 236772, 11681, 2483, 573, 3149, 7689, 756, 10694, 35773, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 17540, 236779, 1201, 1083, 623, 39918, 19212, 14629, 26698, 24435, 827, 623, 7125, 1083, 3714, 13319, 1083, 623, 115232, 4085, 827, 623, 3255, 1083, 623, 106053, 827, 623, 15905, 1083, 623, 236825, 236832, 236828, 236812, 236825, 23179, 623, 4818, 1083, 623, 5034, 827, 623, 83624, 1083, 236743, 236770, 236828, 236764, 623, 1215, 1083, 236743, 236832, 236778, 236764, 623, 3119, 236779, 46814, 1083, 236743, 236825, 236828, 236771, 236771, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 22860, 1236, 1083, 11058, 102241, 2644, 827, 623, 112293, 3826, 827, 623, 1489, 7805, 827, 623, 90882, 99471, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236770, 236764, 623, 2305, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1321, 236781, 236779, 73246, 1083, 78493, 22037, 1083, 623, 38556, 236786, 79271, 827, 623, 5521, 236779, 27617, 1083, 623, 38556, 827, 623, 20263, 236779, 27617, 1083, 623, 79271, 827, 623, 19330, 1083, 623, 236771, 236761, 236828, 236819, 236778, 236770, 827, 623, 891, 1083, 623, 236771, 236761, 236828, 236819, 236778, 236810, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 22037, 1083, 623, 38556, 236786, 142026, 827, 623, 5521, 236779, 27617, 1083, 623, 38556, 827, 623, 20263, 236779, 27617, 1083, 623, 142026, 827, 623, 19330, 1083, 623, 236771, 236761, 236832, 236832, 236812, 236800, 827, 623, 891, 1083, 623, 236771, 236761, 236832, 236832, 236812, 236832, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 22037, 1083, 623, 38556, 236786, 198481, 827, 623, 5521, 236779, 27617, 1083, 623, 38556, 827, 623, 20263, 236779, 27617, 1083, 623, 198481, 827, 623, 19330, 1083, 623, 236770, 236810, 236771, 236761, 236770, 236778, 827, 623, 891, 1083, 623, 236770, 236810, 236771, 236761, 236770, 236825, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 28881, 236779, 103411, 1083, 3714, 22037, 1083, 623, 38556, 827, 623, 27617, 236779, 20263, 1083, 623, 79271, 827, 623, 27617, 236779, 5521, 1083, 623, 38556, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 82199, 1083, 78493, 1201, 1083, 623, 65897, 98881, 827, 623, 11607, 1083, 623, 13596, 524, 4755, 236940, 500, 6368, 1045, 236761, 854, 827, 623, 5275, 1083, 33865, 236810, 236810, 236810, 236768, 236743, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 9707, 236779, 8572, 1083, 623, 236771, 236779, 236778, 236771, 236771, 236771, 236771, 236771, 827, 623, 70496, 1083, 11058, 501, 14255, 623, 18146, 1363, 236779, 37311, 1083, 11058, 115232, 4085, 827, 623, 20163, 5168, 14255, 623, 13330, 236779, 2883, 1083, 623, 2574, 1411, 500, 6368, 1045, 236761, 854, 236786, 82199, 236786, 13596, 524, 4755, 23179, 3714, 1201, 1083, 623, 34326, 8943, 827, 623, 11607, 1083, 623, 530, 126868, 49811, 236940, 13994, 3806, 1129, 616, 236761, 854, 827, 623, 5275, 1083, 33865, 236810, 236810, 236810, 236768, 236743, 236819, 236828, 236832, 236772, 236825, 236810, 236812, 236800, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 9707, 236779, 8572, 1083, 623, 236771, 236779, 236778, 236771, 236771, 236771, 236771, 236771, 827, 623, 70496, 1083, 11058, 501, 827, 623, 507, 14255, 623, 18146, 1363, 236779, 37311, 1083, 11058, 115232, 4085, 827, 623, 36257, 26600, 14255, 623, 13330, 236779, 2883, 1083, 623, 2574, 1411, 13994, 3806, 1129, 616, 236761, 854, 236786, 82199, 236786, 530, 126868, 49811, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 115232, 4085, 827, 623, 9707, 236779, 8572, 1083, 623, 236771, 236779, 236778, 236771, 236771, 236771, 236771, 236771, 827, 623, 19859, 1083, 623, 501, 827, 623, 13126, 236779, 1387, 1083, 236743, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31044, 12323, 529, 822, 2864, 236787, 108, 1018, 236770, 236761, 8231, 236772, 21998, 19871, 4085, 10170, 23580, 59698, 1018, 138, 107, 11099, 236743, 236778, 11362, 68916, 528, 10374, 1208, 609, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 236787, 107, 236772, 5213, 65897, 98881, 1018, 136723, 236812, 236761, 236828, 138, 107, 138, 249979, 15201, 524, 4755, 236940, 500, 6368, 1045, 236761, 854, 1109, 236743, 246080, 568, 236810, 236810, 236810, 236768, 236743, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 138, 107, 138, 50682, 236787, 19871, 4085, 236764, 164098, 138, 107, 138, 236840, 16679, 5457, 2574, 1411, 500, 6368, 1045, 236761, 854, 236786, 82199, 236786, 13596, 524, 4755, 236768, 108, 236772, 5213, 34326, 8943, 1018, 136723, 236812, 236761, 236810, 138, 107, 138, 249979, 935, 126868, 49811, 236940, 13994, 3806, 1129, 616, 236761, 854, 1109, 236743, 246080, 568, 236810, 236810, 236810, 236768, 236743, 236819, 236828, 236832, 236772, 236825, 236810, 236812, 236800, 138, 107, 138, 100535, 236787, 5422, 236764, 14361, 1109, 53712, 236787, 19871, 4085, 236764, 7123, 26600, 138, 107, 138, 236840, 16679, 5457, 2574, 1411, 13994, 3806, 1129, 616, 236761, 854, 236786, 82199, 236786, 530, 126868, 49811, 236768, 108, 1018, 236778, 236761, 26698, 24435, 12579, 1018, 138, 107, 240732, 5213, 39918, 19212, 14629, 26698, 24435, 1018, 568, 236825, 236832, 236828, 236812, 236825, 236768, 138, 107, 236772, 236743, 236770, 236828, 15629, 236764, 3221, 236743, 236832, 236778, 236764, 236743, 236825, 236764, 236828, 236771, 236771, 15844, 138, 107, 236772, 136723, 236812, 236761, 236800, 14470, 1109, 168331, 236787, 65525, 2644, 236764, 1255, 7805, 236764, 29223, 138, 107, 236772, 23531, 532, 17934, 568, 5455, 27662, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236768, 108, 1018, 236800, 236761, 23058, 107882, 200343, 1018, 138, 107, 8782, 6224, 568, 527, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 1473, 138, 107, 236909, 58108, 142, 236909, 51936, 140, 236909, 29020, 140, 236909, 138, 107, 236909, 40673, 236909, 1611, 236909, 1611, 236909, 138, 107, 236909, 23058, 16130, 35594, 1109, 11361, 236771, 236761, 236828, 236819, 236778, 236770, 236909, 11361, 236771, 236761, 236828, 236819, 236778, 236810, 236909, 138, 107, 236909, 23058, 16130, 109384, 1109, 6903, 236771, 236761, 236832, 236832, 236812, 236800, 236909, 6903, 236771, 236761, 236832, 236832, 236812, 236832, 236909, 138, 107, 236909, 23058, 16130, 730, 22965, 1109, 79524, 236770, 236810, 236771, 236761, 236770, 236778, 236909, 79524, 236770, 236810, 236771, 236761, 236770, 236825, 236909, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 42085, 1217, 97000, 12376, 4146, 607, 1239, 14491, 236881, 138, 107, 236778, 236761, 39525, 41260, 2433, 13571, 573, 19871, 4085, 236881, 138, 107, 236800, 236761, 13948, 3477, 8726, 580, 822, 17301, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 7352, 48234, 236761, 1599, 1149, 1461, 531, 1161, 496, 4301, 22479, 4456, 653, 3662, 496, 4301, 10345, 573, 10224, 41819, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 7352, 48234, 236761, 1599, 1149, 1461, 531, 1161, 496, 4301, 22479, 4456, 653, 3662, 496, 4301, 10345, 573, 10224, 41819, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 14724, 1041, 981, 2881, 8918, 236764, 840, 506, 1458, 7087, 1156, 236772, 9340, 28250, 236761, 5315, 236764, 901, 3265, 614, 108513, 531, 1041, 5154, 236764, 532, 1492, 901, 1202, 2264, 886, 1308, 564, 5273, 506, 1171, 236761, 3199, 611, 8729, 506, 1855, 108513, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 8729, 506, 1855, 108513, 573, 822, 2881, 14724, 236761, 2282, 7162, 236764, 564, 236789, 859, 1202, 822, 5154, 1548, 528, 5251, 6518, 568, 236744, 236761, 236759, 1126, 900, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236768, 531, 5039, 506, 28250, 3393, 236761, 28344, 611, 5091, 4024, 822, 5154, 1548, 236881, 236743, 108, 14946, 564, 735, 600, 236764, 564, 236789, 859, 8729, 496, 9584, 236743, 236825, 236772, 29345, 3393, 600, 795, 577, 4341, 573, 236743, 236810, 4310, 236761, 106, 107, 105, 2364, 107, 236862, 236770, 236832, 236825, 236800, 236810, 236810, 236810, 236771, 236770, 236819, 236819, 236775, 808, 135076, 24637, 723, 20656, 2579, 528, 914, 9048, 236764, 39919, 914, 22080, 105876, 1670, 9603, 623, 2094, 11906, 1133, 197981, 573, 496, 8918, 14724, 236764, 840, 564, 8844, 5052, 236789, 236751, 2132, 236761, 3792, 786, 1281, 1056, 506, 1855, 3393, 3952, 1343, 753, 564, 1202, 531, 974, 1063, 531, 1041, 10465, 236789, 30916, 684, 236743, 236770, 236771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 73431, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 8889, 1083, 623, 80717, 827, 623, 92757, 1083, 10955, 236770, 236832, 236825, 236800, 236810, 236810, 236810, 236771, 236770, 236819, 236819, 827, 623, 111977, 1083, 236743, 236800, 236771, 236771, 236764, 623, 4818, 1083, 623, 19631, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 1855, 28250, 3393, 236787, 5213, 236770, 236778, 236800, 236812, 236810, 236825, 1018, 236743, 245215, 108, 2094, 236743, 236825, 236772, 29345, 3393, 795, 63966, 528, 236743, 236810, 4310, 568, 2003, 236743, 236819, 236787, 236810, 236810, 8151, 769, 669, 1458, 1374, 4242, 625, 6842, 573, 822, 8918, 14724, 236761, 236743, 108, 236829, 135076, 17507, 914, 4526, 236764, 48040, 149681, 623, 54133, 236764, 564, 236789, 560, 2506, 236743, 236810, 4310, 531, 2744, 600, 1680, 1041, 10465, 1502, 11687, 1003, 910, 30916, 236761, 11017, 573, 9378, 786, 1343, 672, 9332, 236743, 108, 6481, 786, 1281, 768, 611, 1202, 1027, 3342, 10686, 607, 2881, 10941, 236888, 236743, 252067, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14724, 1041, 981, 2881, 8918, 236764, 840, 506, 1458, 7087, 1156, 236772, 9340, 28250, 236761, 5315, 236764, 901, 3265, 614, 108513, 531, 1041, 5154, 236764, 532, 1492, 901, 1202, 2264, 886, 1308, 564, 5273, 506, 1171, 236761, 3199, 611, 8729, 506, 1855, 108513, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 8729, 506, 1855, 108513, 573, 822, 2881, 14724, 236761, 2282, 7162, 236764, 564, 236789, 859, 1202, 822, 5154, 1548, 528, 5251, 6518, 568, 236744, 236761, 236759, 1126, 900, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236768, 531, 5039, 506, 28250, 3393, 236761, 28344, 611, 5091, 4024, 822, 5154, 1548, 236881, 236743, 108, 14946, 564, 735, 600, 236764, 564, 236789, 859, 8729, 496, 9584, 236743, 236825, 236772, 29345, 3393, 600, 795, 577, 4341, 573, 236743, 236810, 4310, 236761, 106, 107, 105, 2364, 107, 236862, 236770, 236832, 236825, 236800, 236810, 236810, 236810, 236771, 236770, 236819, 236819, 236775, 808, 135076, 24637, 723, 20656, 2579, 528, 914, 9048, 236764, 39919, 914, 22080, 105876, 1670, 9603, 623, 2094, 11906, 1133, 197981, 573, 496, 8918, 14724, 236764, 840, 564, 8844, 5052, 236789, 236751, 2132, 236761, 3792, 786, 1281, 1056, 506, 1855, 3393, 3952, 1343, 753, 564, 1202, 531, 974, 1063, 531, 1041, 10465, 236789, 30916, 684, 236743, 236770, 236771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 73431, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 8889, 1083, 623, 80717, 827, 623, 92757, 1083, 10955, 236770, 236832, 236825, 236800, 236810, 236810, 236810, 236771, 236770, 236819, 236819, 827, 623, 111977, 1083, 236743, 236800, 236771, 236771, 236764, 623, 4818, 1083, 623, 19631, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 1855, 28250, 3393, 236787, 5213, 236770, 236778, 236800, 236812, 236810, 236825, 1018, 236743, 245215, 108, 2094, 236743, 236825, 236772, 29345, 3393, 795, 63966, 528, 236743, 236810, 4310, 568, 2003, 236743, 236819, 236787, 236810, 236810, 8151, 769, 669, 1458, 1374, 4242, 625, 6842, 573, 822, 8918, 14724, 236761, 236743, 108, 236829, 135076, 17507, 914, 4526, 236764, 48040, 149681, 623, 54133, 236764, 564, 236789, 560, 2506, 236743, 236810, 4310, 531, 2744, 600, 1680, 1041, 10465, 1502, 11687, 1003, 910, 30916, 236761, 11017, 573, 9378, 786, 1343, 672, 9332, 236743, 108, 6481, 786, 1281, 768, 611, 1202, 1027, 3342, 10686, 607, 2881, 10941, 236888, 236743, 252067, 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, 8159, 496, 13451, 9685, 28887, 17042, 1458, 580, 9593, 236761, 3199, 611, 1385, 872, 506, 1903, 3835, 532, 910, 6527, 236881, 564, 236858, 560, 1010, 1699, 496, 732, 88504, 573, 1518, 236764, 532, 625, 236858, 236751, 990, 531, 19260, 236761, 3551, 53276, 25002, 1459, 2061, 1003, 101902, 4681, 236764, 840, 564, 1461, 531, 10769, 496, 2321, 1680, 11704, 8216, 236761, 6542, 236764, 2426, 768, 993, 659, 1027, 607, 8300, 236772, 44435, 9116, 6995, 237028, 10825, 1246, 2514, 1041, 4916, 580, 506, 11228, 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, 39967, 1387, 34701, 236752, 236743, 236810, 236828, 236771, 639, 13831, 236772, 236773, 42267, 28887, 36759, 1804, 827, 623, 9707, 1083, 6610, 236778, 236832, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 62403, 236772, 44435, 9116, 6995, 827, 623, 151218, 236772, 15396, 42301, 827, 623, 98054, 27347, 152254, 3714, 3250, 1083, 623, 22092, 65958, 41942, 236773, 236743, 236825, 236770, 236771, 236771, 236774, 236772, 236794, 42267, 28887, 60137, 827, 623, 9707, 1083, 6610, 236770, 236819, 236819, 236761, 236819, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 62403, 2256, 827, 623, 126540, 4187, 12496, 827, 623, 181346, 3701, 4887, 5012, 152254, 3714, 3250, 1083, 623, 74117, 76912, 1154, 558, 2885, 236743, 236810, 236800, 236771, 42267, 28887, 36759, 1804, 827, 623, 9707, 1083, 6610, 236778, 236770, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 16518, 1083, 11058, 151218, 236772, 159967, 16266, 827, 623, 26588, 51679, 827, 623, 15370, 4187, 12496, 152254, 3714, 3250, 1083, 623, 39967, 1387, 17713, 35153, 236743, 236825, 236770, 42267, 639, 13831, 236772, 236773, 28887, 827, 623, 9707, 1083, 6610, 236778, 236812, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 62403, 236772, 44435, 17042, 827, 623, 54151, 236772, 12383, 12496, 827, 623, 18325, 51679, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236778, 236764, 623, 2305, 236779, 3278, 1083, 623, 32083, 28887, 17042, 1458, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 9685, 28887, 17042, 3797, 564, 1765, 580, 9593, 236764, 2440, 8300, 236772, 44435, 3835, 236787, 108, 236770, 236761, 5213, 39967, 1387, 34701, 236752, 236743, 236810, 236828, 236771, 639, 13831, 236772, 236773, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236832, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236832, 138, 107, 139, 236772, 25772, 236787, 34353, 236772, 44435, 9116, 6995, 236764, 9685, 236772, 15396, 42301, 236764, 27227, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 108, 236778, 236761, 5213, 39967, 1387, 17713, 35153, 236743, 236825, 236770, 42267, 639, 13831, 236772, 236773, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236812, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236828, 568, 114501, 236768, 138, 107, 139, 236772, 25772, 236787, 34353, 236772, 44435, 17042, 236764, 14484, 236772, 12383, 12496, 236764, 7924, 51679, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 108, 236800, 236761, 5213, 22092, 65958, 41942, 236773, 236743, 236825, 236770, 236771, 236771, 236774, 236772, 236794, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236819, 236761, 236819, 236810, 568, 14254, 92690, 236768, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236810, 138, 107, 139, 236772, 25772, 236787, 34353, 2256, 236764, 19418, 4187, 12496, 236764, 52803, 4887, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 108, 236812, 236761, 5213, 74117, 76912, 1154, 558, 2885, 236743, 236810, 236800, 236771, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236770, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236825, 138, 107, 139, 236772, 25772, 236787, 42267, 236772, 159967, 16266, 236764, 7606, 51679, 236764, 2196, 4187, 12496, 138, 107, 139, 236772, 7918, 236787, 2301, 8300, 236772, 44435, 4926, 9456, 138, 107, 139, 236772, 75669, 236787, 10522, 236743, 236800, 2378, 138, 108, 39967, 1387, 4681, 659, 6112, 25118, 840, 82234, 1099, 236764, 1651, 506, 177250, 5469, 7715, 15749, 236761, 669, 30464, 76912, 1154, 563, 5453, 236772, 8572, 840, 5809, 2862, 236761, 21284, 611, 1133, 786, 531, 2426, 10595, 573, 1027, 529, 1239, 653, 12019, 1679, 3835, 2721, 580, 3530, 3548, 236881, 106, 107, 105, 2364, 107, 11947, 981, 91240, 1239, 1679, 236761, 3792, 786, 3137, 19276, 237028, 37474, 506, 5602, 10595, 573, 506, 1903, 1156, 101902, 4681, 236787, 506, 34701, 236752, 236743, 236810, 236828, 236771, 532, 17713, 35153, 236743, 236825, 236770, 236761, 564, 1461, 531, 1460, 1144, 1759, 5089, 1879, 1003, 910, 8300, 236772, 44435, 4065, 532, 21016, 580, 1440, 678, 9784, 236761, 6542, 236764, 2426, 768, 506, 177250, 41942, 236773, 236743, 236825, 236770, 236771, 236771, 236774, 236772, 236794, 815, 1027, 53552, 24764, 1003, 4187, 10634, 653, 39601, 236761, 3551, 53276, 25002, 236858, 236751, 2506, 496, 101902, 236764, 840, 564, 236858, 236757, 496, 8216, 236772, 5101, 9865, 237028, 25109, 2613, 600, 2810, 236858, 236745, 43585, 236758, 1041, 3117, 653, 1041, 7715, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236828, 236797, 236810, 16877, 138704, 236819, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236812, 236810, 236764, 623, 87622, 236779, 73769, 236779, 66850, 1083, 78493, 13126, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 62403, 12881, 563, 496, 2290, 236772, 52823, 573, 234461, 827, 623, 1005, 1083, 623, 33593, 672, 580, 496, 236743, 236770, 236812, 236772, 13807, 51056, 532, 506, 8300, 17726, 573, 58889, 32293, 532, 13174, 236777, 34369, 5934, 174109, 236761, 46357, 38085, 506, 3697, 7946, 2180, 114897, 236764, 1581, 528, 20615, 5387, 221476, 3714, 13126, 1083, 236743, 236812, 236764, 623, 3250, 1083, 623, 112239, 742, 840, 33743, 8300, 13909, 178900, 827, 623, 1005, 1083, 623, 236798, 21294, 506, 1759, 236772, 2289, 8827, 12496, 236764, 840, 6494, 3548, 43064, 17726, 528, 45342, 18567, 236761, 39247, 4196, 11459, 1581, 528, 13023, 4106, 607, 7209, 14139, 1781, 104960, 623, 216417, 236779, 56331, 15227, 1083, 11058, 38837, 77077, 27227, 27347, 17221, 607, 9862, 40107, 827, 623, 38289, 1451, 577, 919, 9584, 573, 1135, 236772, 7967, 1161, 14255, 623, 21716, 236779, 7991, 236779, 45118, 1083, 236743, 236825, 236828, 236764, 623, 19025, 236779, 7991, 236779, 45118, 1083, 236743, 236778, 236778, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236828, 236797, 236810, 16877, 138704, 236819, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236778, 236770, 236828, 236819, 236764, 623, 87622, 236779, 73769, 236779, 18223, 1083, 236743, 236832, 236828, 236764, 623, 3991, 236779, 66850, 1083, 78493, 13126, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 62403, 12881, 563, 496, 2290, 236772, 52823, 573, 234461, 827, 623, 1005, 1083, 623, 33593, 672, 580, 496, 236743, 236770, 236778, 236772, 13807, 51056, 532, 506, 8300, 17726, 5934, 174109, 1581, 607, 3958, 9168, 236761, 87789, 964, 3582, 532, 58889, 32293, 1913, 5431, 691, 3823, 10498, 623, 87622, 236779, 73769, 1083, 1847, 1263, 3714, 13126, 1083, 236743, 236812, 236764, 623, 3250, 1083, 623, 112239, 742, 840, 13571, 1202, 33743, 12496, 827, 623, 1005, 1083, 623, 818, 8300, 236772, 44435, 4065, 981, 1388, 236743, 236819, 236771, 236908, 529, 506, 990, 236764, 3635, 625, 6494, 34328, 607, 861, 4284, 64233, 236761, 46357, 1972, 563, 5139, 573, 4071, 236772, 14801, 22817, 10498, 623, 87622, 236779, 73769, 1083, 1847, 1263, 3714, 13126, 1083, 236743, 236800, 236764, 623, 3250, 1083, 623, 8724, 533, 4360, 840, 39601, 10928, 827, 623, 1005, 1083, 623, 38289, 45027, 1308, 236743, 236825, 3794, 529, 6376, 1161, 9785, 15318, 12804, 236761, 34353, 13909, 563, 5524, 236772, 504, 236772, 6204, 528, 7274, 6927, 236761, 39247, 4610, 13198, 5483, 531, 33530, 26694, 10498, 623, 87622, 236779, 73769, 1083, 2416, 104960, 623, 216417, 236779, 56331, 15227, 1083, 11058, 38837, 77077, 28887, 6953, 3967, 528, 102694, 9576, 827, 623, 62403, 13909, 7087, 18997, 77435, 14255, 623, 216417, 236779, 56842, 3708, 1083, 11058, 60881, 9685, 236772, 15396, 42301, 827, 623, 236796, 28520, 2016, 3325, 573, 1440, 236772, 51527, 3439, 827, 623, 5475, 59093, 8300, 236772, 66414, 17042, 607, 11893, 10783, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236832, 236774, 34144, 236800, 236935, 11124, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236828, 236832, 236764, 623, 87622, 236779, 73769, 236779, 18223, 1083, 236743, 236832, 236828, 236764, 623, 3991, 236779, 30558, 236779, 25612, 1083, 3714, 13126, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 25242, 236772, 32655, 573, 1440, 236772, 51527, 119227, 41218, 623, 1005, 1083, 623, 62403, 12881, 4146, 174109, 1581, 528, 45342, 197049, 236761, 46357, 44079, 236743, 236770, 236812, 3885, 6850, 607, 28887, 532, 27227, 580, 236761, 13472, 496, 101902, 600, 4038, 236789, 236745, 236725, 528, 20615, 85271, 221476, 623, 3991, 236779, 39633, 236779, 25612, 1083, 3714, 13126, 1083, 236743, 236778, 236764, 623, 3250, 1083, 623, 4507, 12496, 17572, 506, 4744, 827, 623, 1005, 1083, 623, 42173, 4187, 6463, 7321, 4133, 1458, 19592, 236761, 22759, 531, 14724, 531, 11879, 7846, 15174, 784, 2401, 13174, 4602, 236761, 17438, 1894, 10340, 11691, 496, 861, 4360, 1308, 236743, 236828, 3794, 221476, 623, 216417, 236779, 56331, 15227, 1083, 11058, 38837, 77077, 27227, 39364, 4342, 607, 33530, 40107, 827, 623, 11748, 81520, 41589, 528, 1982, 26808, 9785, 7247, 236772, 199800, 23671, 14255, 623, 220438, 236779, 23251, 1083, 3714, 10520, 236779, 2289, 236779, 19195, 236779, 185850, 1083, 623, 236770, 236828, 3794, 827, 623, 27495, 236779, 113083, 1083, 9296, 236778, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 531, 236743, 236832, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 3540, 3671, 573, 506, 15633, 4681, 236787, 108, 1018, 39967, 1387, 34701, 236752, 236743, 236810, 236828, 236771, 639, 13831, 236772, 236773, 568, 236799, 236771, 236828, 236797, 236810, 16877, 138704, 236819, 62902, 138, 107, 236772, 5213, 35089, 47240, 66515, 136723, 236812, 236761, 236825, 568, 236770, 236764, 236778, 236812, 236810, 10595, 236768, 138, 107, 236772, 5213, 62403, 236772, 143402, 25772, 66515, 138, 107, 138, 236772, 236743, 236810, 236772, 7991, 3540, 236787, 165996, 62403, 12881, 4146, 174109, 1581, 528, 45342, 197049, 236775, 580, 236743, 236770, 236812, 236772, 13807, 678, 9784, 9603, 138, 107, 138, 236772, 4943, 5089, 5433, 33743, 27227, 17221, 653, 8300, 13909, 178900, 528, 13610, 3439, 236761, 138, 107, 236772, 5213, 112239, 2109, 66515, 138, 107, 138, 236772, 46357, 44079, 236743, 236770, 236778, 236772, 236770, 236812, 3885, 236793, 28399, 1388, 528, 5387, 236786, 116994, 4106, 236761, 138, 107, 138, 236772, 232013, 24764, 236787, 9348, 1451, 577, 919, 9584, 573, 1135, 236772, 7967, 1161, 236761, 138, 108, 1018, 39967, 1387, 17713, 35153, 236743, 236825, 236770, 42267, 568, 236799, 236771, 236828, 236797, 236810, 16877, 138704, 236819, 36929, 17103, 1018, 138, 107, 236772, 5213, 10282, 66515, 669, 1855, 101902, 2028, 236858, 236751, 10595, 3196, 531, 577, 9724, 528, 506, 5904, 3072, 568, 92313, 5853, 1456, 769, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 786, 531, 544, 4256, 607, 506, 4338, 1698, 5853, 236761, 138, 108, 1018, 22092, 65958, 41942, 236773, 236743, 236825, 236770, 236771, 236771, 236774, 236772, 236794, 568, 236799, 236771, 236832, 236774, 34144, 236800, 236935, 11124, 62902, 138, 107, 236772, 5213, 35089, 47240, 66515, 136723, 236812, 236761, 236810, 568, 236770, 236764, 236778, 236828, 236832, 10595, 236768, 138, 107, 236772, 5213, 4507, 62590, 236786, 38682, 2109, 43163, 66515, 138, 107, 138, 236772, 232013, 24764, 236787, 138, 107, 140, 236772, 165996, 4507, 12496, 17572, 506, 4744, 147698, 568, 9731, 53528, 1308, 236743, 236800, 7221, 4610, 769, 138, 107, 140, 236772, 23792, 81520, 528, 1982, 26808, 9785, 7247, 236772, 199800, 23671, 236761, 138, 107, 138, 236772, 44771, 236787, 165996, 62403, 12881, 4146, 174109, 1581, 528, 45342, 197049, 236775, 607, 236743, 236770, 236812, 236772, 13807, 10055, 1972, 9603, 138, 108, 1018, 24355, 66515, 138, 107, 236772, 5213, 39967, 1387, 34701, 236752, 236743, 236810, 236828, 236771, 66515, 27717, 8300, 4065, 532, 21016, 236764, 840, 82234, 1099, 607, 9875, 39601, 185861, 236761, 138, 107, 236772, 5213, 22092, 65958, 41942, 236773, 236743, 236825, 236770, 236771, 236771, 236774, 236772, 236794, 66515, 29125, 236772, 18865, 840, 3435, 13682, 607, 4187, 12496, 532, 4322, 27820, 236761, 138, 107, 236772, 669, 17713, 35153, 236743, 236825, 236770, 236858, 236751, 10595, 1202, 544, 73357, 2779, 531, 496, 5904, 3165, 236761, 21284, 611, 1133, 786, 531, 4338, 600, 236881, 106, 107, 105, 2364, 107, 1479, 4256, 506, 101902, 17713, 35153, 236743, 236825, 236770, 42267, 10595, 607, 506, 4338, 1698, 5853, 237028, 13246, 236858, 236745, 1461, 531, 4305, 4658, 1680, 22611, 625, 855, 236761, 1637, 506, 8300, 12881, 236858, 236751, 618, 5139, 618, 506, 34701, 236752, 840, 24412, 236764, 600, 236858, 236751, 1041, 9380, 7075, 236761, 6542, 236764, 4071, 236772, 4256, 10055, 1972, 8787, 3418, 784, 1806, 4681, 237028, 3307, 16266, 6494, 10161, 3068, 236743, 236770, 236812, 3885, 236764, 532, 564, 740, 236858, 236745, 9546, 496, 6582, 4322, 528, 506, 6029, 529, 35194, 236761, 22282, 77372, 21016, 1024, 59976, 532, 145348, 236764, 840, 768, 993, 236858, 236751, 496, 3772, 580, 496, 32250, 4360, 607, 21609, 5873, 1894, 236764, 564, 236858, 236757, 784, 23896, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 3250, 1083, 623, 39967, 1387, 17713, 35153, 236743, 236825, 236770, 42267, 639, 13831, 236772, 236773, 28887, 60137, 607, 34353, 82215, 827, 623, 9707, 1083, 236743, 236778, 236819, 236819, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 1847, 236764, 623, 16518, 1083, 11058, 62403, 236772, 44435, 17042, 827, 623, 236770, 236812, 236772, 13807, 10055, 1972, 568, 22004, 22730, 623, 151218, 236772, 15396, 42301, 827, 623, 126540, 4187, 12496, 14255, 623, 25612, 236779, 6011, 1083, 3714, 30558, 236779, 41427, 1083, 11058, 67223, 827, 623, 9347, 3034, 827, 623, 154625, 42301, 14255, 623, 27851, 236779, 41427, 1083, 11058, 95620, 73141, 11442, 607, 27227, 827, 623, 21028, 13174, 236777, 573, 27830, 152254, 623, 5930, 236779, 547, 1083, 623, 85402, 236772, 8925, 236825, 236770, 236774, 23179, 3714, 3250, 1083, 623, 39967, 1387, 17713, 35153, 236743, 236825, 236770, 639, 13831, 236772, 236773, 28887, 607, 71887, 24526, 37058, 827, 623, 9707, 1083, 236743, 236800, 236812, 236819, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 1847, 236764, 623, 16518, 1083, 11058, 64556, 19368, 21609, 5873, 827, 623, 236770, 236825, 236772, 13807, 10055, 1972, 568, 22004, 22730, 623, 62403, 17726, 573, 4252, 236786, 19323, 827, 623, 54151, 236772, 12383, 573, 4187, 12496, 14255, 623, 25612, 236779, 6011, 1083, 3714, 30558, 236779, 41427, 1083, 11058, 143521, 5873, 3325, 827, 623, 5843, 10055, 1972, 827, 623, 41875, 10884, 14255, 623, 27851, 236779, 41427, 1083, 11058, 14084, 815, 3446, 10040, 4342, 827, 623, 75633, 1099, 1702, 152254, 623, 5930, 236779, 547, 1083, 623, 85402, 236772, 8925, 236825, 236770, 5901, 23179, 3714, 3250, 1083, 623, 39967, 1387, 34701, 236752, 236743, 236810, 236828, 236771, 639, 13831, 236772, 236773, 42267, 28887, 60137, 827, 623, 9707, 1083, 236743, 236800, 236778, 236819, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 1847, 236764, 623, 16518, 1083, 11058, 62403, 236772, 44435, 9685, 42301, 827, 623, 236770, 236778, 236772, 13807, 10055, 1972, 568, 22004, 22730, 623, 151218, 12660, 4563, 51679, 827, 623, 98054, 27347, 14255, 623, 25612, 236779, 6011, 1083, 3714, 30558, 236779, 41427, 1083, 11058, 98303, 2016, 827, 623, 32083, 236772, 15396, 4065, 827, 623, 26252, 8300, 2256, 14255, 623, 27851, 236779, 41427, 1083, 11058, 1179, 8525, 10055, 1972, 827, 623, 725, 13386, 4187, 7937, 152254, 623, 5930, 236779, 547, 1083, 623, 85402, 236772, 4070, 215371, 236810, 236828, 236771, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 10448, 3671, 607, 5213, 87367, 1698, 1262, 1018, 532, 5213, 95620, 1972, 33772, 66515, 108, 7243, 108, 10354, 5213, 39967, 1387, 17713, 35153, 236743, 236825, 236770, 42267, 639, 13831, 236772, 236773, 568, 85402, 236772, 8925, 236825, 236770, 236774, 62902, 138, 107, 236772, 5213, 11280, 66515, 609, 236778, 236819, 236819, 236761, 236819, 236819, 568, 21314, 236761, 34701, 236752, 236743, 236810, 236828, 236771, 236858, 236751, 609, 236800, 236778, 236819, 236761, 236819, 236819, 236768, 138, 107, 236772, 5213, 94824, 8586, 66515, 236743, 236770, 236812, 236772, 13807, 13264, 568, 25541, 2430, 3548, 236764, 840, 1070, 10595, 5433, 5213, 98054, 73141, 11442, 1018, 769, 138, 107, 236772, 5213, 62403, 82215, 66515, 138, 107, 138, 236772, 44771, 236787, 999, 22631, 3034, 2130, 999, 154625, 42301, 2130, 999, 26252, 8300, 2256, 1827, 138, 107, 138, 236772, 57647, 236787, 4943, 5089, 2072, 5213, 1179, 8525, 10055, 1972, 1018, 607, 27227, 15446, 236761, 138, 107, 236772, 5213, 112239, 2109, 66515, 65371, 9697, 580, 5213, 32083, 236772, 15396, 13174, 4602, 1018, 568, 19256, 59891, 653, 5809, 769, 138, 108, 7243, 108, 10354, 5213, 39967, 1387, 17713, 35153, 236743, 236825, 236770, 900, 71887, 24526, 37058, 568, 85402, 236772, 8925, 236825, 236770, 5901, 62902, 138, 107, 236772, 5213, 11280, 66515, 609, 236800, 236812, 236819, 236761, 236819, 236819, 568, 148543, 609, 236810, 236771, 573, 19368, 21609, 5873, 769, 138, 107, 236772, 5213, 94824, 8586, 66515, 236743, 236770, 236825, 236772, 13807, 13264, 568, 9783, 573, 16266, 1890, 236770, 236812, 3885, 769, 138, 107, 236772, 5213, 2887, 51474, 66515, 138, 107, 138, 236772, 5213, 63449, 66515, 999, 60881, 5873, 3325, 2130, 999, 5843, 10055, 1972, 2130, 999, 41875, 10884, 1827, 138, 107, 138, 236772, 5213, 10085, 66515, 24526, 5213, 9467, 10040, 4342, 125546, 17040, 1099, 1702, 236761, 138, 107, 236772, 5213, 17043, 1701, 66515, 27480, 132187, 5646, 568, 56013, 5873, 236768, 532, 9239, 10055, 236761, 138, 108, 7243, 108, 10354, 5213, 39967, 1387, 34701, 236752, 236743, 236810, 236828, 236771, 639, 13831, 236772, 236773, 568, 85402, 236772, 4070, 215371, 236810, 236828, 236771, 62902, 138, 107, 236772, 5213, 11280, 66515, 609, 236800, 236778, 236819, 236761, 236819, 236819, 138, 107, 236772, 5213, 94824, 8586, 66515, 236743, 236770, 236778, 236772, 13807, 13264, 568, 1179, 8525, 1082, 17713, 35153, 4681, 769, 138, 107, 236772, 5213, 62403, 82215, 66515, 138, 107, 138, 236772, 999, 58632, 8300, 2256, 2130, 840, 1070, 5089, 5433, 5213, 725, 13386, 4187, 7937, 84750, 138, 107, 236772, 5213, 112239, 2109, 66515, 999, 181346, 3701, 2016, 236919, 840, 5213, 1179, 8525, 10055, 1972, 1018, 7728, 236761, 17713, 35153, 236761, 138, 108, 7243, 108, 10354, 5213, 94824, 8586, 36520, 1018, 138, 107, 236909, 9483, 157, 236909, 29382, 524, 46357, 8586, 1109, 10170, 236772, 14447, 51474, 1109, 138, 107, 236909, 2819, 24912, 236909, 2819, 33129, 236909, 2819, 30104, 236909, 138, 107, 236909, 5213, 34299, 35153, 236743, 236825, 236770, 42267, 1018, 138, 236909, 236743, 236770, 236812, 3885, 149, 236909, 65371, 568, 98054, 73141, 11442, 236768, 1109, 138, 107, 236909, 5213, 34299, 35153, 236743, 236825, 236770, 900, 24526, 1018, 236909, 236743, 236770, 236825, 3885, 149, 236909, 27717, 568, 3991, 3540, 236787, 999, 5843, 10055, 1972, 31516, 1109, 138, 107, 236909, 5213, 893, 57935, 236743, 236810, 236828, 236771, 1018, 149, 236909, 236743, 236770, 236778, 3885, 149, 236909, 1705, 8525, 568, 19313, 1874, 1074, 607, 236743, 236770, 236812, 236862, 6468, 16266, 236768, 1109, 138, 108, 7243, 108, 10354, 5213, 211199, 1018, 138, 107, 236772, 5213, 71653, 24067, 66515, 5213, 34299, 35153, 236743, 236825, 236770, 42267, 6131, 236778, 236819, 236819, 236761, 236819, 236819, 62902, 1271, 26361, 8300, 4065, 236764, 24412, 1082, 34701, 236752, 236743, 236810, 236828, 236771, 236764, 840, 16807, 768, 236743, 236770, 236812, 236772, 13807, 10055, 9258, 607, 27227, 1135, 236761, 138, 107, 236772, 5213, 107332, 24067, 66515, 5213, 34299, 35153, 236743, 236825, 236770, 900, 24526, 37058, 6131, 236800, 236812, 236819, 236761, 236819, 236819, 62902, 1271, 8890, 10055, 1972, 532, 3742, 5646, 236764, 840, 5433, 5873, 16305, 657, 3446, 236761, 138, 107, 236772, 5213, 77499, 66515, 177250, 41942, 236773, 236743, 236825, 236770, 236771, 236771, 236774, 236772, 236794, 568, 3275, 4610, 31164, 532, 4322, 81520, 4342, 769, 138, 108, 38786, 611, 1133, 786, 531, 2426, 1759, 236772, 12392, 10055, 1594, 2536, 653, 10769, 506, 21609, 5873, 236858, 236751, 3736, 531, 61861, 3835, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8159, 496, 13451, 9685, 28887, 17042, 1458, 580, 9593, 236761, 3199, 611, 1385, 872, 506, 1903, 3835, 532, 910, 6527, 236881, 564, 236858, 560, 1010, 1699, 496, 732, 88504, 573, 1518, 236764, 532, 625, 236858, 236751, 990, 531, 19260, 236761, 3551, 53276, 25002, 1459, 2061, 1003, 101902, 4681, 236764, 840, 564, 1461, 531, 10769, 496, 2321, 1680, 11704, 8216, 236761, 6542, 236764, 2426, 768, 993, 659, 1027, 607, 8300, 236772, 44435, 9116, 6995, 237028, 10825, 1246, 2514, 1041, 4916, 580, 506, 11228, 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, 39967, 1387, 34701, 236752, 236743, 236810, 236828, 236771, 639, 13831, 236772, 236773, 42267, 28887, 36759, 1804, 827, 623, 9707, 1083, 6610, 236778, 236832, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 62403, 236772, 44435, 9116, 6995, 827, 623, 151218, 236772, 15396, 42301, 827, 623, 98054, 27347, 152254, 3714, 3250, 1083, 623, 22092, 65958, 41942, 236773, 236743, 236825, 236770, 236771, 236771, 236774, 236772, 236794, 42267, 28887, 60137, 827, 623, 9707, 1083, 6610, 236770, 236819, 236819, 236761, 236819, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 62403, 2256, 827, 623, 126540, 4187, 12496, 827, 623, 181346, 3701, 4887, 5012, 152254, 3714, 3250, 1083, 623, 74117, 76912, 1154, 558, 2885, 236743, 236810, 236800, 236771, 42267, 28887, 36759, 1804, 827, 623, 9707, 1083, 6610, 236778, 236770, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 16518, 1083, 11058, 151218, 236772, 159967, 16266, 827, 623, 26588, 51679, 827, 623, 15370, 4187, 12496, 152254, 3714, 3250, 1083, 623, 39967, 1387, 17713, 35153, 236743, 236825, 236770, 42267, 639, 13831, 236772, 236773, 28887, 827, 623, 9707, 1083, 6610, 236778, 236812, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 62403, 236772, 44435, 17042, 827, 623, 54151, 236772, 12383, 12496, 827, 623, 18325, 51679, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236778, 236764, 623, 2305, 236779, 3278, 1083, 623, 32083, 28887, 17042, 1458, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 9685, 28887, 17042, 3797, 564, 1765, 580, 9593, 236764, 2440, 8300, 236772, 44435, 3835, 236787, 108, 236770, 236761, 5213, 39967, 1387, 34701, 236752, 236743, 236810, 236828, 236771, 639, 13831, 236772, 236773, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236832, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236832, 138, 107, 139, 236772, 25772, 236787, 34353, 236772, 44435, 9116, 6995, 236764, 9685, 236772, 15396, 42301, 236764, 27227, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 108, 236778, 236761, 5213, 39967, 1387, 17713, 35153, 236743, 236825, 236770, 42267, 639, 13831, 236772, 236773, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236812, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236828, 568, 114501, 236768, 138, 107, 139, 236772, 25772, 236787, 34353, 236772, 44435, 17042, 236764, 14484, 236772, 12383, 12496, 236764, 7924, 51679, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 108, 236800, 236761, 5213, 22092, 65958, 41942, 236773, 236743, 236825, 236770, 236771, 236771, 236774, 236772, 236794, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236819, 236761, 236819, 236810, 568, 14254, 92690, 236768, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236810, 138, 107, 139, 236772, 25772, 236787, 34353, 2256, 236764, 19418, 4187, 12496, 236764, 52803, 4887, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 108, 236812, 236761, 5213, 74117, 76912, 1154, 558, 2885, 236743, 236810, 236800, 236771, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236770, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236825, 138, 107, 139, 236772, 25772, 236787, 42267, 236772, 159967, 16266, 236764, 7606, 51679, 236764, 2196, 4187, 12496, 138, 107, 139, 236772, 7918, 236787, 2301, 8300, 236772, 44435, 4926, 9456, 138, 107, 139, 236772, 75669, 236787, 10522, 236743, 236800, 2378, 138, 108, 39967, 1387, 4681, 659, 6112, 25118, 840, 82234, 1099, 236764, 1651, 506, 177250, 5469, 7715, 15749, 236761, 669, 30464, 76912, 1154, 563, 5453, 236772, 8572, 840, 5809, 2862, 236761, 21284, 611, 1133, 786, 531, 2426, 10595, 573, 1027, 529, 1239, 653, 12019, 1679, 3835, 2721, 580, 3530, 3548, 236881, 106, 107, 105, 2364, 107, 11947, 981, 91240, 1239, 1679, 236761, 3792, 786, 3137, 19276, 237028, 37474, 506, 5602, 10595, 573, 506, 1903, 1156, 101902, 4681, 236787, 506, 34701, 236752, 236743, 236810, 236828, 236771, 532, 17713, 35153, 236743, 236825, 236770, 236761, 564, 1461, 531, 1460, 1144, 1759, 5089, 1879, 1003, 910, 8300, 236772, 44435, 4065, 532, 21016, 580, 1440, 678, 9784, 236761, 6542, 236764, 2426, 768, 506, 177250, 41942, 236773, 236743, 236825, 236770, 236771, 236771, 236774, 236772, 236794, 815, 1027, 53552, 24764, 1003, 4187, 10634, 653, 39601, 236761, 3551, 53276, 25002, 236858, 236751, 2506, 496, 101902, 236764, 840, 564, 236858, 236757, 496, 8216, 236772, 5101, 9865, 237028, 25109, 2613, 600, 2810, 236858, 236745, 43585, 236758, 1041, 3117, 653, 1041, 7715, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236828, 236797, 236810, 16877, 138704, 236819, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236812, 236810, 236764, 623, 87622, 236779, 73769, 236779, 66850, 1083, 78493, 13126, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 62403, 12881, 563, 496, 2290, 236772, 52823, 573, 234461, 827, 623, 1005, 1083, 623, 33593, 672, 580, 496, 236743, 236770, 236812, 236772, 13807, 51056, 532, 506, 8300, 17726, 573, 58889, 32293, 532, 13174, 236777, 34369, 5934, 174109, 236761, 46357, 38085, 506, 3697, 7946, 2180, 114897, 236764, 1581, 528, 20615, 5387, 221476, 3714, 13126, 1083, 236743, 236812, 236764, 623, 3250, 1083, 623, 112239, 742, 840, 33743, 8300, 13909, 178900, 827, 623, 1005, 1083, 623, 236798, 21294, 506, 1759, 236772, 2289, 8827, 12496, 236764, 840, 6494, 3548, 43064, 17726, 528, 45342, 18567, 236761, 39247, 4196, 11459, 1581, 528, 13023, 4106, 607, 7209, 14139, 1781, 104960, 623, 216417, 236779, 56331, 15227, 1083, 11058, 38837, 77077, 27227, 27347, 17221, 607, 9862, 40107, 827, 623, 38289, 1451, 577, 919, 9584, 573, 1135, 236772, 7967, 1161, 14255, 623, 21716, 236779, 7991, 236779, 45118, 1083, 236743, 236825, 236828, 236764, 623, 19025, 236779, 7991, 236779, 45118, 1083, 236743, 236778, 236778, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236828, 236797, 236810, 16877, 138704, 236819, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236778, 236770, 236828, 236819, 236764, 623, 87622, 236779, 73769, 236779, 18223, 1083, 236743, 236832, 236828, 236764, 623, 3991, 236779, 66850, 1083, 78493, 13126, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 62403, 12881, 563, 496, 2290, 236772, 52823, 573, 234461, 827, 623, 1005, 1083, 623, 33593, 672, 580, 496, 236743, 236770, 236778, 236772, 13807, 51056, 532, 506, 8300, 17726, 5934, 174109, 1581, 607, 3958, 9168, 236761, 87789, 964, 3582, 532, 58889, 32293, 1913, 5431, 691, 3823, 10498, 623, 87622, 236779, 73769, 1083, 1847, 1263, 3714, 13126, 1083, 236743, 236812, 236764, 623, 3250, 1083, 623, 112239, 742, 840, 13571, 1202, 33743, 12496, 827, 623, 1005, 1083, 623, 818, 8300, 236772, 44435, 4065, 981, 1388, 236743, 236819, 236771, 236908, 529, 506, 990, 236764, 3635, 625, 6494, 34328, 607, 861, 4284, 64233, 236761, 46357, 1972, 563, 5139, 573, 4071, 236772, 14801, 22817, 10498, 623, 87622, 236779, 73769, 1083, 1847, 1263, 3714, 13126, 1083, 236743, 236800, 236764, 623, 3250, 1083, 623, 8724, 533, 4360, 840, 39601, 10928, 827, 623, 1005, 1083, 623, 38289, 45027, 1308, 236743, 236825, 3794, 529, 6376, 1161, 9785, 15318, 12804, 236761, 34353, 13909, 563, 5524, 236772, 504, 236772, 6204, 528, 7274, 6927, 236761, 39247, 4610, 13198, 5483, 531, 33530, 26694, 10498, 623, 87622, 236779, 73769, 1083, 2416, 104960, 623, 216417, 236779, 56331, 15227, 1083, 11058, 38837, 77077, 28887, 6953, 3967, 528, 102694, 9576, 827, 623, 62403, 13909, 7087, 18997, 77435, 14255, 623, 216417, 236779, 56842, 3708, 1083, 11058, 60881, 9685, 236772, 15396, 42301, 827, 623, 236796, 28520, 2016, 3325, 573, 1440, 236772, 51527, 3439, 827, 623, 5475, 59093, 8300, 236772, 66414, 17042, 607, 11893, 10783, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236832, 236774, 34144, 236800, 236935, 11124, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236828, 236832, 236764, 623, 87622, 236779, 73769, 236779, 18223, 1083, 236743, 236832, 236828, 236764, 623, 3991, 236779, 30558, 236779, 25612, 1083, 3714, 13126, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 25242, 236772, 32655, 573, 1440, 236772, 51527, 119227, 41218, 623, 1005, 1083, 623, 62403, 12881, 4146, 174109, 1581, 528, 45342, 197049, 236761, 46357, 44079, 236743, 236770, 236812, 3885, 6850, 607, 28887, 532, 27227, 580, 236761, 13472, 496, 101902, 600, 4038, 236789, 236745, 236725, 528, 20615, 85271, 221476, 623, 3991, 236779, 39633, 236779, 25612, 1083, 3714, 13126, 1083, 236743, 236778, 236764, 623, 3250, 1083, 623, 4507, 12496, 17572, 506, 4744, 827, 623, 1005, 1083, 623, 42173, 4187, 6463, 7321, 4133, 1458, 19592, 236761, 22759, 531, 14724, 531, 11879, 7846, 15174, 784, 2401, 13174, 4602, 236761, 17438, 1894, 10340, 11691, 496, 861, 4360, 1308, 236743, 236828, 3794, 221476, 623, 216417, 236779, 56331, 15227, 1083, 11058, 38837, 77077, 27227, 39364, 4342, 607, 33530, 40107, 827, 623, 11748, 81520, 41589, 528, 1982, 26808, 9785, 7247, 236772, 199800, 23671, 14255, 623, 220438, 236779, 23251, 1083, 3714, 10520, 236779, 2289, 236779, 19195, 236779, 185850, 1083, 623, 236770, 236828, 3794, 827, 623, 27495, 236779, 113083, 1083, 9296, 236778, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 531, 236743, 236832, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 3540, 3671, 573, 506, 15633, 4681, 236787, 108, 1018, 39967, 1387, 34701, 236752, 236743, 236810, 236828, 236771, 639, 13831, 236772, 236773, 568, 236799, 236771, 236828, 236797, 236810, 16877, 138704, 236819, 62902, 138, 107, 236772, 5213, 35089, 47240, 66515, 136723, 236812, 236761, 236825, 568, 236770, 236764, 236778, 236812, 236810, 10595, 236768, 138, 107, 236772, 5213, 62403, 236772, 143402, 25772, 66515, 138, 107, 138, 236772, 236743, 236810, 236772, 7991, 3540, 236787, 165996, 62403, 12881, 4146, 174109, 1581, 528, 45342, 197049, 236775, 580, 236743, 236770, 236812, 236772, 13807, 678, 9784, 9603, 138, 107, 138, 236772, 4943, 5089, 5433, 33743, 27227, 17221, 653, 8300, 13909, 178900, 528, 13610, 3439, 236761, 138, 107, 236772, 5213, 112239, 2109, 66515, 138, 107, 138, 236772, 46357, 44079, 236743, 236770, 236778, 236772, 236770, 236812, 3885, 236793, 28399, 1388, 528, 5387, 236786, 116994, 4106, 236761, 138, 107, 138, 236772, 232013, 24764, 236787, 9348, 1451, 577, 919, 9584, 573, 1135, 236772, 7967, 1161, 236761, 138, 108, 1018, 39967, 1387, 17713, 35153, 236743, 236825, 236770, 42267, 568, 236799, 236771, 236828, 236797, 236810, 16877, 138704, 236819, 36929, 17103, 1018, 138, 107, 236772, 5213, 10282, 66515, 669, 1855, 101902, 2028, 236858, 236751, 10595, 3196, 531, 577, 9724, 528, 506, 5904, 3072, 568, 92313, 5853, 1456, 769, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 786, 531, 544, 4256, 607, 506, 4338, 1698, 5853, 236761, 138, 108, 1018, 22092, 65958, 41942, 236773, 236743, 236825, 236770, 236771, 236771, 236774, 236772, 236794, 568, 236799, 236771, 236832, 236774, 34144, 236800, 236935, 11124, 62902, 138, 107, 236772, 5213, 35089, 47240, 66515, 136723, 236812, 236761, 236810, 568, 236770, 236764, 236778, 236828, 236832, 10595, 236768, 138, 107, 236772, 5213, 4507, 62590, 236786, 38682, 2109, 43163, 66515, 138, 107, 138, 236772, 232013, 24764, 236787, 138, 107, 140, 236772, 165996, 4507, 12496, 17572, 506, 4744, 147698, 568, 9731, 53528, 1308, 236743, 236800, 7221, 4610, 769, 138, 107, 140, 236772, 23792, 81520, 528, 1982, 26808, 9785, 7247, 236772, 199800, 23671, 236761, 138, 107, 138, 236772, 44771, 236787, 165996, 62403, 12881, 4146, 174109, 1581, 528, 45342, 197049, 236775, 607, 236743, 236770, 236812, 236772, 13807, 10055, 1972, 9603, 138, 108, 1018, 24355, 66515, 138, 107, 236772, 5213, 39967, 1387, 34701, 236752, 236743, 236810, 236828, 236771, 66515, 27717, 8300, 4065, 532, 21016, 236764, 840, 82234, 1099, 607, 9875, 39601, 185861, 236761, 138, 107, 236772, 5213, 22092, 65958, 41942, 236773, 236743, 236825, 236770, 236771, 236771, 236774, 236772, 236794, 66515, 29125, 236772, 18865, 840, 3435, 13682, 607, 4187, 12496, 532, 4322, 27820, 236761, 138, 107, 236772, 669, 17713, 35153, 236743, 236825, 236770, 236858, 236751, 10595, 1202, 544, 73357, 2779, 531, 496, 5904, 3165, 236761, 21284, 611, 1133, 786, 531, 4338, 600, 236881, 106, 107, 105, 2364, 107, 1479, 4256, 506, 101902, 17713, 35153, 236743, 236825, 236770, 42267, 10595, 607, 506, 4338, 1698, 5853, 237028, 13246, 236858, 236745, 1461, 531, 4305, 4658, 1680, 22611, 625, 855, 236761, 1637, 506, 8300, 12881, 236858, 236751, 618, 5139, 618, 506, 34701, 236752, 840, 24412, 236764, 600, 236858, 236751, 1041, 9380, 7075, 236761, 6542, 236764, 4071, 236772, 4256, 10055, 1972, 8787, 3418, 784, 1806, 4681, 237028, 3307, 16266, 6494, 10161, 3068, 236743, 236770, 236812, 3885, 236764, 532, 564, 740, 236858, 236745, 9546, 496, 6582, 4322, 528, 506, 6029, 529, 35194, 236761, 22282, 77372, 21016, 1024, 59976, 532, 145348, 236764, 840, 768, 993, 236858, 236751, 496, 3772, 580, 496, 32250, 4360, 607, 21609, 5873, 1894, 236764, 564, 236858, 236757, 784, 23896, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 3250, 1083, 623, 39967, 1387, 17713, 35153, 236743, 236825, 236770, 42267, 639, 13831, 236772, 236773, 28887, 60137, 607, 34353, 82215, 827, 623, 9707, 1083, 236743, 236778, 236819, 236819, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 1847, 236764, 623, 16518, 1083, 11058, 62403, 236772, 44435, 17042, 827, 623, 236770, 236812, 236772, 13807, 10055, 1972, 568, 22004, 22730, 623, 151218, 236772, 15396, 42301, 827, 623, 126540, 4187, 12496, 14255, 623, 25612, 236779, 6011, 1083, 3714, 30558, 236779, 41427, 1083, 11058, 67223, 827, 623, 9347, 3034, 827, 623, 154625, 42301, 14255, 623, 27851, 236779, 41427, 1083, 11058, 95620, 73141, 11442, 607, 27227, 827, 623, 21028, 13174, 236777, 573, 27830, 152254, 623, 5930, 236779, 547, 1083, 623, 85402, 236772, 8925, 236825, 236770, 236774, 23179, 3714, 3250, 1083, 623, 39967, 1387, 17713, 35153, 236743, 236825, 236770, 639, 13831, 236772, 236773, 28887, 607, 71887, 24526, 37058, 827, 623, 9707, 1083, 236743, 236800, 236812, 236819, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 1847, 236764, 623, 16518, 1083, 11058, 64556, 19368, 21609, 5873, 827, 623, 236770, 236825, 236772, 13807, 10055, 1972, 568, 22004, 22730, 623, 62403, 17726, 573, 4252, 236786, 19323, 827, 623, 54151, 236772, 12383, 573, 4187, 12496, 14255, 623, 25612, 236779, 6011, 1083, 3714, 30558, 236779, 41427, 1083, 11058, 143521, 5873, 3325, 827, 623, 5843, 10055, 1972, 827, 623, 41875, 10884, 14255, 623, 27851, 236779, 41427, 1083, 11058, 14084, 815, 3446, 10040, 4342, 827, 623, 75633, 1099, 1702, 152254, 623, 5930, 236779, 547, 1083, 623, 85402, 236772, 8925, 236825, 236770, 5901, 23179, 3714, 3250, 1083, 623, 39967, 1387, 34701, 236752, 236743, 236810, 236828, 236771, 639, 13831, 236772, 236773, 42267, 28887, 60137, 827, 623, 9707, 1083, 236743, 236800, 236778, 236819, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 1847, 236764, 623, 16518, 1083, 11058, 62403, 236772, 44435, 9685, 42301, 827, 623, 236770, 236778, 236772, 13807, 10055, 1972, 568, 22004, 22730, 623, 151218, 12660, 4563, 51679, 827, 623, 98054, 27347, 14255, 623, 25612, 236779, 6011, 1083, 3714, 30558, 236779, 41427, 1083, 11058, 98303, 2016, 827, 623, 32083, 236772, 15396, 4065, 827, 623, 26252, 8300, 2256, 14255, 623, 27851, 236779, 41427, 1083, 11058, 1179, 8525, 10055, 1972, 827, 623, 725, 13386, 4187, 7937, 152254, 623, 5930, 236779, 547, 1083, 623, 85402, 236772, 4070, 215371, 236810, 236828, 236771, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 10448, 3671, 607, 5213, 87367, 1698, 1262, 1018, 532, 5213, 95620, 1972, 33772, 66515, 108, 7243, 108, 10354, 5213, 39967, 1387, 17713, 35153, 236743, 236825, 236770, 42267, 639, 13831, 236772, 236773, 568, 85402, 236772, 8925, 236825, 236770, 236774, 62902, 138, 107, 236772, 5213, 11280, 66515, 609, 236778, 236819, 236819, 236761, 236819, 236819, 568, 21314, 236761, 34701, 236752, 236743, 236810, 236828, 236771, 236858, 236751, 609, 236800, 236778, 236819, 236761, 236819, 236819, 236768, 138, 107, 236772, 5213, 94824, 8586, 66515, 236743, 236770, 236812, 236772, 13807, 13264, 568, 25541, 2430, 3548, 236764, 840, 1070, 10595, 5433, 5213, 98054, 73141, 11442, 1018, 769, 138, 107, 236772, 5213, 62403, 82215, 66515, 138, 107, 138, 236772, 44771, 236787, 999, 22631, 3034, 2130, 999, 154625, 42301, 2130, 999, 26252, 8300, 2256, 1827, 138, 107, 138, 236772, 57647, 236787, 4943, 5089, 2072, 5213, 1179, 8525, 10055, 1972, 1018, 607, 27227, 15446, 236761, 138, 107, 236772, 5213, 112239, 2109, 66515, 65371, 9697, 580, 5213, 32083, 236772, 15396, 13174, 4602, 1018, 568, 19256, 59891, 653, 5809, 769, 138, 108, 7243, 108, 10354, 5213, 39967, 1387, 17713, 35153, 236743, 236825, 236770, 900, 71887, 24526, 37058, 568, 85402, 236772, 8925, 236825, 236770, 5901, 62902, 138, 107, 236772, 5213, 11280, 66515, 609, 236800, 236812, 236819, 236761, 236819, 236819, 568, 148543, 609, 236810, 236771, 573, 19368, 21609, 5873, 769, 138, 107, 236772, 5213, 94824, 8586, 66515, 236743, 236770, 236825, 236772, 13807, 13264, 568, 9783, 573, 16266, 1890, 236770, 236812, 3885, 769, 138, 107, 236772, 5213, 2887, 51474, 66515, 138, 107, 138, 236772, 5213, 63449, 66515, 999, 60881, 5873, 3325, 2130, 999, 5843, 10055, 1972, 2130, 999, 41875, 10884, 1827, 138, 107, 138, 236772, 5213, 10085, 66515, 24526, 5213, 9467, 10040, 4342, 125546, 17040, 1099, 1702, 236761, 138, 107, 236772, 5213, 17043, 1701, 66515, 27480, 132187, 5646, 568, 56013, 5873, 236768, 532, 9239, 10055, 236761, 138, 108, 7243, 108, 10354, 5213, 39967, 1387, 34701, 236752, 236743, 236810, 236828, 236771, 639, 13831, 236772, 236773, 568, 85402, 236772, 4070, 215371, 236810, 236828, 236771, 62902, 138, 107, 236772, 5213, 11280, 66515, 609, 236800, 236778, 236819, 236761, 236819, 236819, 138, 107, 236772, 5213, 94824, 8586, 66515, 236743, 236770, 236778, 236772, 13807, 13264, 568, 1179, 8525, 1082, 17713, 35153, 4681, 769, 138, 107, 236772, 5213, 62403, 82215, 66515, 138, 107, 138, 236772, 999, 58632, 8300, 2256, 2130, 840, 1070, 5089, 5433, 5213, 725, 13386, 4187, 7937, 84750, 138, 107, 236772, 5213, 112239, 2109, 66515, 999, 181346, 3701, 2016, 236919, 840, 5213, 1179, 8525, 10055, 1972, 1018, 7728, 236761, 17713, 35153, 236761, 138, 108, 7243, 108, 10354, 5213, 94824, 8586, 36520, 1018, 138, 107, 236909, 9483, 157, 236909, 29382, 524, 46357, 8586, 1109, 10170, 236772, 14447, 51474, 1109, 138, 107, 236909, 2819, 24912, 236909, 2819, 33129, 236909, 2819, 30104, 236909, 138, 107, 236909, 5213, 34299, 35153, 236743, 236825, 236770, 42267, 1018, 138, 236909, 236743, 236770, 236812, 3885, 149, 236909, 65371, 568, 98054, 73141, 11442, 236768, 1109, 138, 107, 236909, 5213, 34299, 35153, 236743, 236825, 236770, 900, 24526, 1018, 236909, 236743, 236770, 236825, 3885, 149, 236909, 27717, 568, 3991, 3540, 236787, 999, 5843, 10055, 1972, 31516, 1109, 138, 107, 236909, 5213, 893, 57935, 236743, 236810, 236828, 236771, 1018, 149, 236909, 236743, 236770, 236778, 3885, 149, 236909, 1705, 8525, 568, 19313, 1874, 1074, 607, 236743, 236770, 236812, 236862, 6468, 16266, 236768, 1109, 138, 108, 7243, 108, 10354, 5213, 211199, 1018, 138, 107, 236772, 5213, 71653, 24067, 66515, 5213, 34299, 35153, 236743, 236825, 236770, 42267, 6131, 236778, 236819, 236819, 236761, 236819, 236819, 62902, 1271, 26361, 8300, 4065, 236764, 24412, 1082, 34701, 236752, 236743, 236810, 236828, 236771, 236764, 840, 16807, 768, 236743, 236770, 236812, 236772, 13807, 10055, 9258, 607, 27227, 1135, 236761, 138, 107, 236772, 5213, 107332, 24067, 66515, 5213, 34299, 35153, 236743, 236825, 236770, 900, 24526, 37058, 6131, 236800, 236812, 236819, 236761, 236819, 236819, 62902, 1271, 8890, 10055, 1972, 532, 3742, 5646, 236764, 840, 5433, 5873, 16305, 657, 3446, 236761, 138, 107, 236772, 5213, 77499, 66515, 177250, 41942, 236773, 236743, 236825, 236770, 236771, 236771, 236774, 236772, 236794, 568, 3275, 4610, 31164, 532, 4322, 81520, 4342, 769, 138, 108, 38786, 611, 1133, 786, 531, 2426, 1759, 236772, 12392, 10055, 1594, 2536, 653, 10769, 506, 21609, 5873, 236858, 236751, 3736, 531, 61861, 3835, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 4284, 7946, 531, 11858, 7088, 3418, 506, 30517, 59972, 532, 1202, 496, 2401, 4187, 573, 17042, 236761, 5315, 236764, 33205, 506, 6524, 4187, 3117, 9831, 699, 40035, 10252, 1699, 506, 2165, 3275, 236779, 8635, 236929, 5904, 607, 506, 756, 3061, 236761, 3723, 236789, 7689, 236761, 1637, 506, 8323, 3117, 12765, 11858, 43123, 26401, 568, 4256, 573, 623, 124977, 236775, 528, 506, 623, 25232, 236775, 3499, 779, 7162, 531, 12270, 506, 7041, 756, 35990, 236761, 3723, 236789, 6511, 236761, 1637, 711, 236764, 17114, 506, 3117, 2864, 531, 3204, 496, 2401, 11858, 18126, 6352, 684, 170559, 2165, 236880, 25232, 236784, 124977, 236929, 531, 506, 7609, 532, 12270, 506, 10448, 756, 35990, 236761, 3723, 6748, 13472, 236764, 8729, 44324, 21217, 573, 506, 26401, 1699, 506, 756, 62832, 236789, 7689, 607, 506, 1626, 3117, 9831, 236761, 6890, 756, 236781, 236772, 117129, 3677, 236772, 2478, 236789, 12093, 1550, 756, 3307, 236779, 59667, 236779, 2478, 236779, 236770, 236778, 236800, 236789, 573, 31324, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3061, 1083, 3714, 1201, 1083, 623, 135119, 236772, 14307, 236748, 827, 623, 4406, 1083, 623, 236770, 236761, 236771, 236761, 236771, 827, 623, 25232, 1083, 78493, 547, 1083, 623, 7967, 827, 623, 2084, 1083, 623, 1257, 827, 623, 6265, 1083, 623, 135119, 827, 623, 33277, 1083, 3714, 1257, 236772, 3001, 1083, 13659, 236812, 236812, 236812, 236775, 5237, 3714, 547, 1083, 623, 36378, 827, 623, 2084, 1083, 623, 22037, 827, 623, 6265, 1083, 623, 135119, 827, 623, 7212, 1083, 11058, 210362, 6610, 2084, 827, 623, 3947, 14255, 623, 7788, 1083, 3714, 2602, 236772, 3304, 1083, 623, 26488, 127096, 1604, 623, 30182, 1083, 3714, 135119, 1083, 3714, 2084, 1083, 623, 142773, 827, 623, 66744, 1083, 11058, 2574, 1411, 35990, 236761, 218888, 236761, 2187, 21690, 236802, 46085, 236781, 46085, 236762, 5721, 5067, 1935, 112679, 623, 20714, 1083, 3714, 3955, 236772, 2084, 1083, 623, 9458, 236786, 3723, 827, 623, 236781, 236772, 117129, 3677, 236772, 2478, 1083, 623, 3307, 236779, 59667, 236779, 2478, 236779, 236770, 236778, 236800, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 25232, 1083, 623, 14188, 711, 5221, 528, 5904, 30539, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35990, 3723, 1083, 623, 236800, 236761, 236771, 236761, 236771, 827, 623, 1201, 1083, 623, 135119, 236772, 14307, 236748, 236772, 66744, 827, 623, 66744, 1083, 11058, 2574, 1411, 66744, 236761, 8358, 236761, 854, 236786, 135119, 236772, 14307, 236748, 21690, 236802, 46085, 236781, 46085, 236762, 5721, 236758, 7589, 236881, 117129, 3677, 236772, 2478, 236784, 3307, 236779, 59667, 236779, 2478, 236779, 236770, 236778, 236800, 14255, 623, 187054, 1083, 6443, 236756, 236771, 236771, 236746, 236819, 7607, 170511, 46462, 827, 623, 1387, 35076, 1083, 236743, 236771, 236764, 623, 2074, 35076, 1083, 236743, 236770, 236812, 236764, 623, 25232, 1083, 78493, 547, 1083, 623, 60739, 827, 623, 2084, 1083, 623, 1257, 827, 623, 6265, 1083, 623, 135119, 827, 623, 33277, 1083, 3714, 1257, 236772, 3001, 1083, 13659, 236812, 236746, 236812, 236746, 236812, 236746, 236775, 5237, 3714, 547, 1083, 623, 7632, 827, 623, 2084, 1083, 623, 6910, 827, 623, 6265, 1083, 623, 135119, 827, 623, 33277, 1083, 3714, 6910, 236772, 3001, 1083, 13659, 236746, 236771, 236755, 236812, 236744, 236812, 127096, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30605, 236779, 57040, 1083, 78493, 35396, 1083, 623, 236770, 236781, 827, 623, 2451, 1083, 623, 2574, 1411, 66744, 236761, 8358, 236761, 854, 236786, 8635, 236786, 135119, 236772, 14307, 236748, 236786, 62832, 236786, 7967, 59667, 236779, 94333, 236779, 236770, 236781, 236761, 5067, 827, 623, 2690, 1083, 236743, 236810, 236770, 236778, 236764, 623, 4603, 1083, 236743, 236810, 236770, 236778, 1263, 3714, 35396, 1083, 623, 236778, 236781, 827, 623, 2451, 1083, 623, 2574, 1411, 66744, 236761, 8358, 236761, 854, 236786, 8635, 236786, 135119, 236772, 14307, 236748, 236786, 62832, 236786, 7967, 59667, 236779, 94333, 236779, 236778, 236781, 236761, 5067, 827, 623, 2690, 1083, 236743, 236770, 236771, 236778, 236812, 236764, 623, 4603, 1083, 236743, 236770, 236771, 236778, 236812, 104960, 623, 5939, 1083, 623, 5067, 827, 623, 5455, 236779, 40554, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236771, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 52078, 1083, 623, 2574, 1411, 55060, 236761, 8358, 236761, 854, 236786, 16546, 236786, 3275, 236772, 62832, 25938, 106, 107, 105, 4368, 107, 818, 4187, 5405, 735, 1010, 10428, 52236, 532, 18761, 236787, 108, 236770, 236761, 5213, 8728, 21072, 35265, 1018, 138, 107, 139, 7949, 101085, 2165, 3061, 236761, 3723, 236929, 573, 2165, 135119, 236772, 14307, 236748, 236929, 3117, 607, 12627, 236787, 138, 107, 139, 236772, 2165, 7967, 236929, 568, 1257, 236768, 573, 16370, 138, 107, 139, 236772, 2165, 36378, 236929, 568, 22037, 236768, 573, 3298, 529, 2142, 138, 108, 236778, 236761, 5213, 42184, 99691, 1018, 138, 107, 139, 213238, 2165, 35990, 236761, 3723, 236929, 573, 2165, 135119, 236772, 14307, 236748, 236929, 607, 25583, 536, 10739, 236787, 138, 107, 139, 236929, 2574, 1411, 66744, 236761, 8358, 236761, 854, 236786, 135119, 236772, 14307, 236748, 21690, 236802, 46085, 236781, 46085, 236762, 5721, 236758, 7589, 236881, 117129, 3677, 236772, 2478, 236784, 3307, 236779, 59667, 236779, 2478, 236779, 236770, 236778, 236800, 236929, 138, 108, 236800, 236761, 5213, 44946, 23209, 3705, 1018, 138, 107, 139, 46603, 44324, 21217, 573, 26401, 236787, 138, 107, 139, 236772, 236743, 236770, 236781, 9314, 236787, 870, 7967, 59667, 236779, 94333, 236779, 236770, 236781, 236761, 5067, 5457, 2574, 1411, 66744, 236761, 8358, 236761, 854, 236786, 8635, 236786, 135119, 236772, 14307, 236748, 236786, 62832, 236786, 7967, 59667, 236779, 94333, 236779, 236770, 236781, 236761, 5067, 236768, 138, 107, 139, 236772, 236743, 236778, 236781, 9314, 236787, 870, 7967, 59667, 236779, 94333, 236779, 236778, 236781, 236761, 5067, 5457, 2574, 1411, 66744, 236761, 8358, 236761, 854, 236786, 8635, 236786, 135119, 236772, 14307, 236748, 236786, 62832, 236786, 7967, 59667, 236779, 94333, 236779, 236778, 236781, 236761, 5067, 236768, 138, 108, 1018, 9272, 50228, 573, 34641, 63558, 1018, 138, 107, 236772, 136066, 11858, 3432, 11024, 528, 822, 3739, 3393, 1699, 506, 2165, 36378, 236929, 6352, 618, 496, 3225, 236761, 138, 107, 236772, 6890, 506, 3847, 21965, 10739, 607, 496, 4187, 9427, 568, 236744, 236761, 236759, 1126, 11251, 2566, 9179, 236764, 42657, 1184, 236768, 573, 17042, 236761, 138, 107, 236772, 116126, 18126, 17054, 607, 506, 44324, 21217, 573, 7426, 25725, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 236743, 248667, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 4284, 7946, 531, 11858, 7088, 3418, 506, 30517, 59972, 532, 1202, 496, 2401, 4187, 573, 17042, 236761, 5315, 236764, 33205, 506, 6524, 4187, 3117, 9831, 699, 40035, 10252, 1699, 506, 2165, 3275, 236779, 8635, 236929, 5904, 607, 506, 756, 3061, 236761, 3723, 236789, 7689, 236761, 1637, 506, 8323, 3117, 12765, 11858, 43123, 26401, 568, 4256, 573, 623, 124977, 236775, 528, 506, 623, 25232, 236775, 3499, 779, 7162, 531, 12270, 506, 7041, 756, 35990, 236761, 3723, 236789, 6511, 236761, 1637, 711, 236764, 17114, 506, 3117, 2864, 531, 3204, 496, 2401, 11858, 18126, 6352, 684, 170559, 2165, 236880, 25232, 236784, 124977, 236929, 531, 506, 7609, 532, 12270, 506, 10448, 756, 35990, 236761, 3723, 6748, 13472, 236764, 8729, 44324, 21217, 573, 506, 26401, 1699, 506, 756, 62832, 236789, 7689, 607, 506, 1626, 3117, 9831, 236761, 6890, 756, 236781, 236772, 117129, 3677, 236772, 2478, 236789, 12093, 1550, 756, 3307, 236779, 59667, 236779, 2478, 236779, 236770, 236778, 236800, 236789, 573, 31324, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3061, 1083, 3714, 1201, 1083, 623, 135119, 236772, 14307, 236748, 827, 623, 4406, 1083, 623, 236770, 236761, 236771, 236761, 236771, 827, 623, 25232, 1083, 78493, 547, 1083, 623, 7967, 827, 623, 2084, 1083, 623, 1257, 827, 623, 6265, 1083, 623, 135119, 827, 623, 33277, 1083, 3714, 1257, 236772, 3001, 1083, 13659, 236812, 236812, 236812, 236775, 5237, 3714, 547, 1083, 623, 36378, 827, 623, 2084, 1083, 623, 22037, 827, 623, 6265, 1083, 623, 135119, 827, 623, 7212, 1083, 11058, 210362, 6610, 2084, 827, 623, 3947, 14255, 623, 7788, 1083, 3714, 2602, 236772, 3304, 1083, 623, 26488, 127096, 1604, 623, 30182, 1083, 3714, 135119, 1083, 3714, 2084, 1083, 623, 142773, 827, 623, 66744, 1083, 11058, 2574, 1411, 35990, 236761, 218888, 236761, 2187, 21690, 236802, 46085, 236781, 46085, 236762, 5721, 5067, 1935, 112679, 623, 20714, 1083, 3714, 3955, 236772, 2084, 1083, 623, 9458, 236786, 3723, 827, 623, 236781, 236772, 117129, 3677, 236772, 2478, 1083, 623, 3307, 236779, 59667, 236779, 2478, 236779, 236770, 236778, 236800, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 25232, 1083, 623, 14188, 711, 5221, 528, 5904, 30539, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35990, 3723, 1083, 623, 236800, 236761, 236771, 236761, 236771, 827, 623, 1201, 1083, 623, 135119, 236772, 14307, 236748, 236772, 66744, 827, 623, 66744, 1083, 11058, 2574, 1411, 66744, 236761, 8358, 236761, 854, 236786, 135119, 236772, 14307, 236748, 21690, 236802, 46085, 236781, 46085, 236762, 5721, 236758, 7589, 236881, 117129, 3677, 236772, 2478, 236784, 3307, 236779, 59667, 236779, 2478, 236779, 236770, 236778, 236800, 14255, 623, 187054, 1083, 6443, 236756, 236771, 236771, 236746, 236819, 7607, 170511, 46462, 827, 623, 1387, 35076, 1083, 236743, 236771, 236764, 623, 2074, 35076, 1083, 236743, 236770, 236812, 236764, 623, 25232, 1083, 78493, 547, 1083, 623, 60739, 827, 623, 2084, 1083, 623, 1257, 827, 623, 6265, 1083, 623, 135119, 827, 623, 33277, 1083, 3714, 1257, 236772, 3001, 1083, 13659, 236812, 236746, 236812, 236746, 236812, 236746, 236775, 5237, 3714, 547, 1083, 623, 7632, 827, 623, 2084, 1083, 623, 6910, 827, 623, 6265, 1083, 623, 135119, 827, 623, 33277, 1083, 3714, 6910, 236772, 3001, 1083, 13659, 236746, 236771, 236755, 236812, 236744, 236812, 127096, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30605, 236779, 57040, 1083, 78493, 35396, 1083, 623, 236770, 236781, 827, 623, 2451, 1083, 623, 2574, 1411, 66744, 236761, 8358, 236761, 854, 236786, 8635, 236786, 135119, 236772, 14307, 236748, 236786, 62832, 236786, 7967, 59667, 236779, 94333, 236779, 236770, 236781, 236761, 5067, 827, 623, 2690, 1083, 236743, 236810, 236770, 236778, 236764, 623, 4603, 1083, 236743, 236810, 236770, 236778, 1263, 3714, 35396, 1083, 623, 236778, 236781, 827, 623, 2451, 1083, 623, 2574, 1411, 66744, 236761, 8358, 236761, 854, 236786, 8635, 236786, 135119, 236772, 14307, 236748, 236786, 62832, 236786, 7967, 59667, 236779, 94333, 236779, 236778, 236781, 236761, 5067, 827, 623, 2690, 1083, 236743, 236770, 236771, 236778, 236812, 236764, 623, 4603, 1083, 236743, 236770, 236771, 236778, 236812, 104960, 623, 5939, 1083, 623, 5067, 827, 623, 5455, 236779, 40554, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236771, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 52078, 1083, 623, 2574, 1411, 55060, 236761, 8358, 236761, 854, 236786, 16546, 236786, 3275, 236772, 62832, 25938, 106, 107, 105, 4368, 107, 818, 4187, 5405, 735, 1010, 10428, 52236, 532, 18761, 236787, 108, 236770, 236761, 5213, 8728, 21072, 35265, 1018, 138, 107, 139, 7949, 101085, 2165, 3061, 236761, 3723, 236929, 573, 2165, 135119, 236772, 14307, 236748, 236929, 3117, 607, 12627, 236787, 138, 107, 139, 236772, 2165, 7967, 236929, 568, 1257, 236768, 573, 16370, 138, 107, 139, 236772, 2165, 36378, 236929, 568, 22037, 236768, 573, 3298, 529, 2142, 138, 108, 236778, 236761, 5213, 42184, 99691, 1018, 138, 107, 139, 213238, 2165, 35990, 236761, 3723, 236929, 573, 2165, 135119, 236772, 14307, 236748, 236929, 607, 25583, 536, 10739, 236787, 138, 107, 139, 236929, 2574, 1411, 66744, 236761, 8358, 236761, 854, 236786, 135119, 236772, 14307, 236748, 21690, 236802, 46085, 236781, 46085, 236762, 5721, 236758, 7589, 236881, 117129, 3677, 236772, 2478, 236784, 3307, 236779, 59667, 236779, 2478, 236779, 236770, 236778, 236800, 236929, 138, 108, 236800, 236761, 5213, 44946, 23209, 3705, 1018, 138, 107, 139, 46603, 44324, 21217, 573, 26401, 236787, 138, 107, 139, 236772, 236743, 236770, 236781, 9314, 236787, 870, 7967, 59667, 236779, 94333, 236779, 236770, 236781, 236761, 5067, 5457, 2574, 1411, 66744, 236761, 8358, 236761, 854, 236786, 8635, 236786, 135119, 236772, 14307, 236748, 236786, 62832, 236786, 7967, 59667, 236779, 94333, 236779, 236770, 236781, 236761, 5067, 236768, 138, 107, 139, 236772, 236743, 236778, 236781, 9314, 236787, 870, 7967, 59667, 236779, 94333, 236779, 236778, 236781, 236761, 5067, 5457, 2574, 1411, 66744, 236761, 8358, 236761, 854, 236786, 8635, 236786, 135119, 236772, 14307, 236748, 236786, 62832, 236786, 7967, 59667, 236779, 94333, 236779, 236778, 236781, 236761, 5067, 236768, 138, 108, 1018, 9272, 50228, 573, 34641, 63558, 1018, 138, 107, 236772, 136066, 11858, 3432, 11024, 528, 822, 3739, 3393, 1699, 506, 2165, 36378, 236929, 6352, 618, 496, 3225, 236761, 138, 107, 236772, 6890, 506, 3847, 21965, 10739, 607, 496, 4187, 9427, 568, 236744, 236761, 236759, 1126, 11251, 2566, 9179, 236764, 42657, 1184, 236768, 573, 17042, 236761, 138, 107, 236772, 116126, 18126, 17054, 607, 506, 44324, 21217, 573, 7426, 25725, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 236743, 248667, 238178, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 18840, 4803, 2436, 2958, 7248, 532, 3956, 18025, 580, 8217, 90629, 9286, 15067, 528, 7151, 532, 37328, 1024, 506, 3068, 1806, 1518, 236764, 19541, 580, 506, 4100, 529, 26267, 12325, 10952, 14922, 6672, 4615, 236761, 3199, 611, 33205, 672, 1262, 531, 1601, 786, 20017, 15955, 657, 981, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 48930, 774, 46749, 29287, 528, 10063, 2590, 43063, 236787, 562, 236743, 236778, 236771, 236778, 236800, 12726, 13768, 827, 623, 6011, 1083, 623, 1683, 61151, 22109, 6224, 529, 65336, 12325, 3797, 528, 7151, 532, 37328, 20736, 236764, 6807, 236743, 236778, 236832, 236908, 9286, 22656, 1024, 6672, 4615, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 827, 623, 6265, 1083, 623, 53776, 665, 18671, 76374, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 1263, 3714, 3250, 1083, 623, 63651, 62840, 528, 12825, 5407, 33651, 236787, 236743, 236778, 236771, 236778, 236770, 236772, 236778, 236771, 236778, 236812, 48993, 827, 623, 6011, 1083, 623, 163447, 2748, 529, 236743, 236770, 236778, 236771, 20736, 3418, 7151, 236786, 127511, 1499, 39516, 236743, 236800, 236812, 236908, 9095, 528, 12325, 990, 1343, 12498, 236772, 36359, 39252, 6436, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236771, 236770, 827, 623, 6265, 1083, 623, 213707, 12825, 16951, 9352, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236828, 1263, 3714, 3250, 1083, 623, 221962, 27938, 529, 94770, 46749, 13000, 528, 45287, 81528, 827, 623, 6011, 1083, 623, 9818, 5254, 699, 10727, 26681, 532, 36776, 31719, 1407, 236743, 236812, 236771, 236908, 1813, 15749, 607, 26267, 3797, 9785, 3715, 2778, 5384, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236778, 236778, 827, 623, 6265, 1083, 623, 73659, 97510, 9186, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236810, 1263, 3714, 3250, 1083, 623, 135930, 13768, 236787, 43899, 7728, 94770, 5407, 33651, 528, 4819, 236772, 22354, 1749, 43063, 827, 623, 6011, 1083, 623, 52571, 21379, 3831, 236743, 236770, 236828, 236772, 11283, 2541, 236772, 20952, 1523, 573, 28431, 17461, 528, 236743, 236828, 236810, 236908, 529, 37328, 5082, 9971, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236771, 827, 623, 6265, 1083, 623, 54347, 7449, 9352, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236800, 1263, 3714, 3250, 1083, 623, 9004, 10270, 103057, 529, 46749, 63640, 528, 7151, 43063, 827, 623, 6011, 1083, 623, 230911, 9814, 2748, 16074, 4698, 230906, 6607, 532, 17169, 24637, 2269, 28431, 8688, 528, 5054, 20587, 532, 5054, 14322, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236810, 827, 623, 6265, 1083, 623, 30582, 529, 7151, 236764, 36038, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236832, 104960, 623, 3709, 236779, 2861, 1083, 236743, 236810, 236764, 623, 5576, 236779, 12103, 236779, 18700, 1083, 1847, 236764, 623, 2305, 236779, 21052, 1083, 3714, 3278, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 827, 623, 2662, 236779, 3456, 1083, 623, 11526, 236779, 236778, 236771, 236778, 236812, 236935, 236812, 827, 623, 28881, 236779, 103411, 1083, 3714, 7565, 236779, 2084, 1083, 623, 16350, 236779, 15443, 827, 623, 1896, 236779, 8572, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236812, 236772, 236771, 236810, 236779, 1071, 236779, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 91873, 1083, 11058, 52247, 827, 623, 127511, 1499, 1935, 19465, 106, 107, 105, 4368, 107, 8291, 659, 506, 2307, 12396, 699, 4803, 2436, 2958, 7248, 532, 3956, 18025, 580, 8217, 90629, 9286, 15067, 528, 7151, 532, 37328, 236787, 108, 236770, 236761, 5213, 4036, 4485, 529, 177739, 46749, 13000, 1018, 138, 107, 139, 236772, 236743, 236778, 236771, 236778, 236800, 2748, 684, 808, 53776, 665, 18671, 76374, 236829, 1765, 5213, 236778, 236832, 236908, 9286, 22656, 1018, 528, 20736, 1699, 65336, 12325, 3797, 5483, 531, 6672, 4615, 236761, 138, 107, 139, 236772, 236743, 236778, 236771, 236778, 236812, 808, 213707, 12825, 16951, 9352, 236829, 2748, 6418, 5213, 236800, 236812, 236908, 9095, 528, 12325, 990, 1018, 1343, 12498, 236772, 36359, 39252, 6436, 236761, 108, 236778, 236761, 5213, 221962, 532, 11117, 103057, 1018, 138, 107, 139, 236772, 808, 73659, 97510, 9186, 236829, 568, 236778, 236771, 236778, 236800, 236768, 4785, 5213, 236812, 236771, 236908, 1813, 15749, 1018, 607, 26267, 3797, 528, 10727, 26681, 532, 36776, 31719, 236764, 3635, 2778, 5384, 964, 3715, 236761, 138, 107, 139, 236772, 808, 54347, 7449, 9352, 236829, 568, 236778, 236771, 236778, 236800, 236768, 8601, 496, 5213, 236770, 236828, 236772, 11283, 66431, 1018, 573, 28431, 17461, 528, 236743, 236828, 236810, 236908, 529, 37328, 5082, 236761, 108, 236800, 236761, 5213, 9004, 10270, 532, 91417, 211744, 1018, 138, 107, 139, 236772, 236743, 236778, 236771, 236778, 236812, 808, 30582, 529, 7151, 236764, 36038, 236829, 2748, 24724, 230906, 6607, 532, 17169, 24637, 528, 5054, 20587, 532, 5054, 14322, 20736, 44173, 28431, 236761, 138, 108, 1018, 201430, 573, 54550, 66515, 138, 107, 236772, 54832, 65336, 12325, 3797, 528, 1494, 236772, 887, 1749, 4106, 531, 1594, 9286, 22656, 236761, 138, 107, 236772, 41276, 12498, 236772, 27612, 39252, 6436, 531, 30726, 4698, 81014, 236761, 138, 107, 236772, 6521, 4698, 230906, 6607, 531, 9688, 506, 7140, 531, 26267, 3797, 236761, 138, 107, 236772, 22282, 77372, 1813, 236772, 11401, 10952, 528, 99767, 9576, 1133, 37328, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 3213, 580, 3530, 1159, 51996, 568, 236744, 236761, 236759, 1126, 2157, 236772, 102625, 3671, 236764, 4698, 4122, 6607, 20625, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 18840, 4803, 2436, 2958, 7248, 532, 3956, 18025, 580, 8217, 90629, 9286, 15067, 528, 7151, 532, 37328, 1024, 506, 3068, 1806, 1518, 236764, 19541, 580, 506, 4100, 529, 26267, 12325, 10952, 14922, 6672, 4615, 236761, 3199, 611, 33205, 672, 1262, 531, 1601, 786, 20017, 15955, 657, 981, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 48930, 774, 46749, 29287, 528, 10063, 2590, 43063, 236787, 562, 236743, 236778, 236771, 236778, 236800, 12726, 13768, 827, 623, 6011, 1083, 623, 1683, 61151, 22109, 6224, 529, 65336, 12325, 3797, 528, 7151, 532, 37328, 20736, 236764, 6807, 236743, 236778, 236832, 236908, 9286, 22656, 1024, 6672, 4615, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 827, 623, 6265, 1083, 623, 53776, 665, 18671, 76374, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 1263, 3714, 3250, 1083, 623, 63651, 62840, 528, 12825, 5407, 33651, 236787, 236743, 236778, 236771, 236778, 236770, 236772, 236778, 236771, 236778, 236812, 48993, 827, 623, 6011, 1083, 623, 163447, 2748, 529, 236743, 236770, 236778, 236771, 20736, 3418, 7151, 236786, 127511, 1499, 39516, 236743, 236800, 236812, 236908, 9095, 528, 12325, 990, 1343, 12498, 236772, 36359, 39252, 6436, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236771, 236770, 827, 623, 6265, 1083, 623, 213707, 12825, 16951, 9352, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236828, 1263, 3714, 3250, 1083, 623, 221962, 27938, 529, 94770, 46749, 13000, 528, 45287, 81528, 827, 623, 6011, 1083, 623, 9818, 5254, 699, 10727, 26681, 532, 36776, 31719, 1407, 236743, 236812, 236771, 236908, 1813, 15749, 607, 26267, 3797, 9785, 3715, 2778, 5384, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236778, 236778, 827, 623, 6265, 1083, 623, 73659, 97510, 9186, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236810, 1263, 3714, 3250, 1083, 623, 135930, 13768, 236787, 43899, 7728, 94770, 5407, 33651, 528, 4819, 236772, 22354, 1749, 43063, 827, 623, 6011, 1083, 623, 52571, 21379, 3831, 236743, 236770, 236828, 236772, 11283, 2541, 236772, 20952, 1523, 573, 28431, 17461, 528, 236743, 236828, 236810, 236908, 529, 37328, 5082, 9971, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236771, 827, 623, 6265, 1083, 623, 54347, 7449, 9352, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236800, 1263, 3714, 3250, 1083, 623, 9004, 10270, 103057, 529, 46749, 63640, 528, 7151, 43063, 827, 623, 6011, 1083, 623, 230911, 9814, 2748, 16074, 4698, 230906, 6607, 532, 17169, 24637, 2269, 28431, 8688, 528, 5054, 20587, 532, 5054, 14322, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236810, 827, 623, 6265, 1083, 623, 30582, 529, 7151, 236764, 36038, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236832, 104960, 623, 3709, 236779, 2861, 1083, 236743, 236810, 236764, 623, 5576, 236779, 12103, 236779, 18700, 1083, 1847, 236764, 623, 2305, 236779, 21052, 1083, 3714, 3278, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 827, 623, 2662, 236779, 3456, 1083, 623, 11526, 236779, 236778, 236771, 236778, 236812, 236935, 236812, 827, 623, 28881, 236779, 103411, 1083, 3714, 7565, 236779, 2084, 1083, 623, 16350, 236779, 15443, 827, 623, 1896, 236779, 8572, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236812, 236772, 236771, 236810, 236779, 1071, 236779, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 91873, 1083, 11058, 52247, 827, 623, 127511, 1499, 1935, 19465, 106, 107, 105, 4368, 107, 8291, 659, 506, 2307, 12396, 699, 4803, 2436, 2958, 7248, 532, 3956, 18025, 580, 8217, 90629, 9286, 15067, 528, 7151, 532, 37328, 236787, 108, 236770, 236761, 5213, 4036, 4485, 529, 177739, 46749, 13000, 1018, 138, 107, 139, 236772, 236743, 236778, 236771, 236778, 236800, 2748, 684, 808, 53776, 665, 18671, 76374, 236829, 1765, 5213, 236778, 236832, 236908, 9286, 22656, 1018, 528, 20736, 1699, 65336, 12325, 3797, 5483, 531, 6672, 4615, 236761, 138, 107, 139, 236772, 236743, 236778, 236771, 236778, 236812, 808, 213707, 12825, 16951, 9352, 236829, 2748, 6418, 5213, 236800, 236812, 236908, 9095, 528, 12325, 990, 1018, 1343, 12498, 236772, 36359, 39252, 6436, 236761, 108, 236778, 236761, 5213, 221962, 532, 11117, 103057, 1018, 138, 107, 139, 236772, 808, 73659, 97510, 9186, 236829, 568, 236778, 236771, 236778, 236800, 236768, 4785, 5213, 236812, 236771, 236908, 1813, 15749, 1018, 607, 26267, 3797, 528, 10727, 26681, 532, 36776, 31719, 236764, 3635, 2778, 5384, 964, 3715, 236761, 138, 107, 139, 236772, 808, 54347, 7449, 9352, 236829, 568, 236778, 236771, 236778, 236800, 236768, 8601, 496, 5213, 236770, 236828, 236772, 11283, 66431, 1018, 573, 28431, 17461, 528, 236743, 236828, 236810, 236908, 529, 37328, 5082, 236761, 108, 236800, 236761, 5213, 9004, 10270, 532, 91417, 211744, 1018, 138, 107, 139, 236772, 236743, 236778, 236771, 236778, 236812, 808, 30582, 529, 7151, 236764, 36038, 236829, 2748, 24724, 230906, 6607, 532, 17169, 24637, 528, 5054, 20587, 532, 5054, 14322, 20736, 44173, 28431, 236761, 138, 108, 1018, 201430, 573, 54550, 66515, 138, 107, 236772, 54832, 65336, 12325, 3797, 528, 1494, 236772, 887, 1749, 4106, 531, 1594, 9286, 22656, 236761, 138, 107, 236772, 41276, 12498, 236772, 27612, 39252, 6436, 531, 30726, 4698, 81014, 236761, 138, 107, 236772, 6521, 4698, 230906, 6607, 531, 9688, 506, 7140, 531, 26267, 3797, 236761, 138, 107, 236772, 22282, 77372, 1813, 236772, 11401, 10952, 528, 99767, 9576, 1133, 37328, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 3213, 580, 3530, 1159, 51996, 568, 236744, 236761, 236759, 1126, 2157, 236772, 102625, 3671, 236764, 4698, 4122, 6607, 20625, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 9279, 1041, 13822, 21184, 7548, 573, 496, 609, 236778, 236810, 236771, 236764, 236771, 236771, 236771, 10670, 657, 236743, 236800, 236761, 236828, 236908, 7384, 2142, 1024, 236743, 236800, 236771, 1518, 236761, 4298, 236764, 564, 236789, 236753, 1133, 531, 1460, 1144, 9439, 531, 506, 7548, 768, 564, 3553, 506, 10670, 2886, 684, 609, 236810, 236771, 236764, 236771, 236771, 236771, 1651, 10264, 506, 1638, 2142, 3136, 532, 1941, 236761, 3792, 236789, 236751, 1502, 607, 506, 1171, 14988, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 71832, 236779, 24471, 1083, 236743, 236770, 236770, 236825, 236832, 236761, 236770, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 71832, 236779, 24471, 1083, 236743, 236770, 236800, 236828, 236810, 236761, 236810, 236810, 236783, 106, 107, 105, 4368, 107, 11069, 13822, 21184, 13192, 1093, 577, 236787, 108, 236770, 236761, 5213, 7280, 86249, 1018, 138, 107, 139, 236772, 5213, 51654, 27409, 66515, 609, 236778, 236810, 236771, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 5213, 96579, 35032, 66515, 5213, 236795, 236770, 236764, 236770, 236825, 236832, 236761, 236770, 236810, 1018, 138, 108, 236778, 236761, 5213, 12400, 86249, 1018, 568, 9900, 5683, 506, 10670, 684, 609, 236810, 236771, 236764, 236771, 236771, 236771, 1473, 138, 107, 139, 236772, 5213, 51654, 27409, 66515, 609, 236800, 236771, 236771, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 5213, 96579, 35032, 66515, 5213, 236795, 236770, 236764, 236800, 236828, 236810, 236761, 236810, 236810, 1018, 138, 108, 818, 3553, 529, 609, 236810, 236771, 236764, 236771, 236771, 236771, 528, 506, 10670, 2886, 29933, 822, 13822, 7548, 684, 5213, 236795, 236778, 236770, 236828, 236761, 236812, 236771, 84750, 1174, 22136, 506, 4767, 7647, 1646, 73294, 1662, 1024, 506, 1638, 236743, 236800, 236771, 236772, 3704, 1941, 657, 506, 1638, 236743, 236800, 236761, 236828, 236908, 2142, 3136, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 9279, 1041, 13822, 21184, 7548, 573, 496, 609, 236778, 236810, 236771, 236764, 236771, 236771, 236771, 10670, 657, 236743, 236800, 236761, 236828, 236908, 7384, 2142, 1024, 236743, 236800, 236771, 1518, 236761, 4298, 236764, 564, 236789, 236753, 1133, 531, 1460, 1144, 9439, 531, 506, 7548, 768, 564, 3553, 506, 10670, 2886, 684, 609, 236810, 236771, 236764, 236771, 236771, 236771, 1651, 10264, 506, 1638, 2142, 3136, 532, 1941, 236761, 3792, 236789, 236751, 1502, 607, 506, 1171, 14988, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 71832, 236779, 24471, 1083, 236743, 236770, 236770, 236825, 236832, 236761, 236770, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 71832, 236779, 24471, 1083, 236743, 236770, 236800, 236828, 236810, 236761, 236810, 236810, 236783, 106, 107, 105, 4368, 107, 11069, 13822, 21184, 13192, 1093, 577, 236787, 108, 236770, 236761, 5213, 7280, 86249, 1018, 138, 107, 139, 236772, 5213, 51654, 27409, 66515, 609, 236778, 236810, 236771, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 5213, 96579, 35032, 66515, 5213, 236795, 236770, 236764, 236770, 236825, 236832, 236761, 236770, 236810, 1018, 138, 108, 236778, 236761, 5213, 12400, 86249, 1018, 568, 9900, 5683, 506, 10670, 684, 609, 236810, 236771, 236764, 236771, 236771, 236771, 1473, 138, 107, 139, 236772, 5213, 51654, 27409, 66515, 609, 236800, 236771, 236771, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 5213, 96579, 35032, 66515, 5213, 236795, 236770, 236764, 236800, 236828, 236810, 236761, 236810, 236810, 1018, 138, 108, 818, 3553, 529, 609, 236810, 236771, 236764, 236771, 236771, 236771, 528, 506, 10670, 2886, 29933, 822, 13822, 7548, 684, 5213, 236795, 236778, 236770, 236828, 236761, 236812, 236771, 84750, 1174, 22136, 506, 4767, 7647, 1646, 73294, 1662, 1024, 506, 1638, 236743, 236800, 236771, 236772, 3704, 1941, 657, 506, 1638, 236743, 236800, 236761, 236828, 236908, 2142, 3136, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11823, 1938, 1003, 506, 2260, 756, 236792, 35415, 23012, 236789, 532, 33205, 9813, 1938, 1003, 506, 2528, 607, 48970, 5853, 756, 137372, 54283, 3066, 6748, 106, 107, 105, 4368, 107, 818, 6436, 2487, 531, 786, 659, 5809, 531, 67896, 12714, 684, 910, 2165, 3274, 236779, 547, 236929, 532, 67931, 70695, 51672, 236761, 20044, 236764, 1239, 6436, 3914, 2847, 1938, 1003, 506, 2260, 808, 236792, 35415, 23012, 236829, 653, 2802, 4889, 1003, 496, 2528, 607, 614, 48970, 5853, 1133, 623, 137372, 54283, 3066, 3056, 7323, 2847, 4767, 4403, 653, 37386, 768, 993, 236858, 236751, 2264, 1595, 564, 740, 6361, 236888, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1938, 1003, 506, 2260, 756, 236792, 35415, 23012, 236789, 532, 33205, 9813, 1938, 1003, 506, 2528, 607, 48970, 5853, 756, 137372, 54283, 3066, 6748, 106, 107, 105, 4368, 107, 818, 6436, 2487, 531, 786, 659, 5809, 531, 67896, 12714, 684, 910, 2165, 3274, 236779, 547, 236929, 532, 67931, 70695, 51672, 236761, 20044, 236764, 1239, 6436, 3914, 2847, 1938, 1003, 506, 2260, 808, 236792, 35415, 23012, 236829, 653, 2802, 4889, 1003, 496, 2528, 607, 614, 48970, 5853, 1133, 623, 137372, 54283, 3066, 3056, 7323, 2847, 4767, 4403, 653, 37386, 768, 993, 236858, 236751, 2264, 1595, 564, 740, 6361, 236888, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 120176, 236787, 29328, 236764, 564, 236789, 236757, 35447, 496, 3399, 32183, 18006, 657, 506, 48208, 6022, 532, 1202, 531, 2862, 872, 580, 14767, 236761, 3199, 611, 1601, 786, 1586, 14942, 11936, 528, 1041, 65911, 3393, 568, 236770, 236770, 236812, 236800, 236778, 236768, 600, 6739, 32183, 7093, 236764, 93529, 236764, 653, 35009, 573, 506, 2460, 236881, 6890, 506, 14942, 236779, 66325, 5904, 531, 974, 496, 1694, 529, 3835, 236761, 564, 1461, 531, 1386, 2889, 692, 735, 4326, 5508, 573, 506, 2563, 1719, 2148, 2069, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66325, 1083, 78493, 1201, 1083, 623, 70672, 833, 4643, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 9064, 25692, 236764, 48208, 236764, 13476, 236743, 236770, 236770, 236812, 236800, 236778, 827, 623, 17870, 1083, 11058, 34247, 7093, 827, 623, 3147, 4972, 827, 623, 7302, 791, 695, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236761, 236810, 236764, 623, 24392, 1083, 623, 10505, 236772, 110239, 236743, 236770, 236771, 1936, 236772, 236832, 10192, 236764, 15872, 236743, 236819, 1936, 236772, 236810, 10192, 23179, 3714, 1201, 1083, 623, 236774, 9391, 695, 112848, 10498, 623, 7720, 1083, 623, 236812, 236810, 236825, 13835, 17713, 236764, 28216, 236764, 13476, 236743, 236770, 236770, 236812, 236800, 236778, 827, 623, 17870, 1083, 11058, 7302, 791, 695, 827, 623, 1992, 1294, 827, 623, 54075, 27370, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236828, 236764, 623, 24392, 1083, 623, 198521, 236772, 45533, 236743, 236770, 236770, 1936, 236772, 236825, 10192, 23179, 3714, 1201, 1083, 623, 16098, 697, 8870, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 10353, 18977, 236764, 48208, 236764, 13476, 236743, 236770, 236770, 236812, 236800, 236778, 827, 623, 17870, 1083, 11058, 178663, 827, 623, 1553, 42511, 827, 623, 10242, 16683, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236800, 236761, 236770, 236764, 623, 24392, 1083, 623, 42362, 236743, 236832, 1936, 236772, 236770, 236771, 10192, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 2305, 236779, 12485, 236779, 100403, 1083, 236743, 236770, 236771, 236771, 236764, 623, 15905, 236779, 3970, 1083, 623, 236770, 236770, 236812, 236800, 236778, 25938, 106, 107, 105, 4368, 107, 8291, 659, 14942, 11936, 528, 48208, 6022, 568, 92824, 236743, 236770, 236770, 236812, 236800, 236778, 236768, 600, 740, 6429, 822, 32183, 18006, 3548, 236787, 108, 236770, 236761, 5213, 70672, 833, 4643, 1018, 138, 107, 139, 244343, 236743, 236770, 236778, 236800, 9064, 25692, 568, 236778, 236761, 236810, 7635, 3121, 236768, 138, 107, 139, 251988, 555, 10722, 236787, 87063, 7093, 236764, 3905, 4972, 236764, 93529, 138, 107, 139, 252074, 35174, 236787, 4325, 236772, 110239, 236743, 236770, 236771, 1936, 236772, 236832, 10192, 236764, 15872, 236743, 236819, 1936, 236772, 236810, 10192, 138, 108, 236778, 236761, 5213, 236774, 9391, 695, 112848, 99382, 138, 107, 139, 244343, 236743, 236812, 236810, 236825, 13835, 17713, 568, 236770, 236761, 236828, 7635, 3121, 236768, 138, 107, 139, 243594, 555, 10722, 236787, 558, 9391, 695, 236764, 61986, 236764, 8901, 27370, 138, 107, 139, 252074, 35174, 236787, 119428, 236772, 45533, 236743, 236770, 236770, 1936, 236772, 236825, 10192, 138, 108, 236800, 236761, 5213, 16098, 697, 8870, 1018, 138, 107, 139, 244343, 236743, 236832, 236828, 236819, 10353, 18977, 568, 236800, 236761, 236770, 7635, 3121, 236768, 138, 107, 139, 245414, 555, 10722, 236787, 156459, 236764, 46559, 236764, 3627, 16683, 138, 107, 139, 252074, 35174, 236787, 18245, 236743, 236832, 1936, 236772, 236770, 236771, 10192, 138, 108, 818, 3927, 8323, 236743, 236770, 236832, 2558, 11936, 2351, 236743, 236770, 236771, 236771, 7635, 236764, 840, 1239, 236743, 236800, 2890, 784, 822, 6035, 568, 34247, 14767, 236764, 93529, 236764, 532, 35009, 236768, 2351, 236743, 236800, 7635, 529, 506, 3988, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 15232, 236764, 21212, 236764, 653, 4767, 3835, 236888, 236743, 248064, 254021, 238178, 106, 107, 105, 2364, 107, 120176, 236787, 8098, 236888, 3792, 786, 2426, 855, 87063, 833, 4643, 1171, 236761, 3199, 611, 8729, 496, 31567, 236774, 72693, 2471, 573, 1041, 18006, 15020, 1183, 531, 5001, 91292, 236881, 6890, 506, 235020, 236779, 33343, 5904, 607, 496, 4996, 3730, 1695, 532, 2173, 1816, 573, 27820, 236761, 564, 236789, 859, 1138, 625, 531, 506, 3489, 1519, 236772, 1048, 3104, 3622, 564, 974, 506, 2471, 3205, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 146856, 236779, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 146856, 236786, 2293, 7716, 236778, 236771, 236778, 236812, 236761, 5067, 827, 623, 1005, 236779, 3456, 1083, 623, 2293, 7716, 236778, 236771, 236778, 236812, 827, 623, 3631, 236779, 3456, 1083, 623, 236751, 3509, 827, 623, 33828, 236779, 5909, 1083, 236743, 236770, 236771, 236764, 623, 7682, 236779, 3001, 1083, 13659, 236771, 236771, 236771, 236771, 236828, 236799, 827, 623, 1005, 236779, 3001, 1083, 13659, 92130, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 7835, 31567, 236774, 72693, 2471, 573, 506, 32183, 18006, 15020, 236787, 108, 1018, 134327, 72693, 20303, 1018, 138, 107, 478, 397, 386, 402, 5590, 236787, 2165, 2293, 7716, 236778, 236771, 236778, 236812, 236929, 138, 107, 245838, 14857, 236787, 18705, 3730, 20442, 236865, 236771, 236771, 236771, 236771, 236828, 236799, 18833, 138, 107, 246371, 5590, 8040, 236787, 7286, 20442, 236865, 92130, 18833, 138, 107, 247312, 59461, 16575, 236787, 236743, 236770, 236771, 568, 6665, 236768, 138, 107, 248930, 17548, 236787, 181007, 138, 108, 245958, 870, 18086, 31567, 236774, 72693, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 146856, 236786, 2293, 7716, 236778, 236771, 236778, 236812, 236761, 5067, 236768, 138, 108, 2094, 31567, 236774, 72693, 20239, 822, 27820, 6035, 236761, 2282, 4144, 625, 236787, 138, 107, 236770, 236761, 4140, 506, 2471, 3205, 531, 822, 15020, 1183, 138, 107, 236778, 236761, 13516, 506, 1816, 2165, 2293, 7716, 236778, 236771, 236778, 236812, 236929, 53036, 531, 18855, 2342, 2430, 2744, 138, 108, 10282, 236787, 799, 3719, 236764, 611, 236789, 236753, 11082, 8729, 4940, 31567, 236774, 72693, 1816, 532, 4762, 625, 528, 496, 6478, 6471, 236761, 21284, 611, 1133, 786, 531, 3600, 3393, 124230, 573, 37803, 672, 1131, 822, 1183, 236881, 236743, 247182, 238178, 254021, 238178, 106, 107, 105, 2364, 107, 120176, 236787, 11017, 573, 506, 31567, 236774, 72693, 236888, 4224, 564, 1202, 531, 1138, 625, 531, 1041, 15020, 1183, 236761, 3199, 611, 1407, 786, 496, 3606, 16167, 3393, 54369, 600, 19365, 506, 31567, 236774, 72693, 2471, 532, 496, 1816, 2744, 2135, 573, 5089, 531, 1722, 506, 3393, 236881, 6542, 236764, 1217, 776, 564, 18855, 625, 580, 506, 5941, 2678, 1699, 29540, 236881, 17608, 625, 24267, 237028, 236777, 1461, 531, 1386, 2889, 18361, 740, 236858, 236745, 6818, 2180, 17900, 625, 236888, 236743, 249262, 244862, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 3606, 8688, 573, 822, 15020, 1183, 236787, 108, 1018, 8185, 5959, 568, 12884, 236761, 3185, 1473, 1018, 107, 2717, 3185, 107, 19174, 20526, 10523, 236813, 107, 217, 107, 236820, 2834, 236813, 107, 140, 236820, 3250, 236813, 70672, 51544, 36997, 954, 3250, 236813, 107, 954, 2834, 236813, 107, 218, 107, 140, 236820, 845, 2970, 718, 6449, 236779, 50990, 236761, 4523, 236775, 1996, 718, 9185, 905, 107, 144, 11686, 7067, 15020, 6192, 568, 1201, 236764, 4553, 236764, 4044, 2907, 1093, 817, 1590, 7182, 107, 144, 107, 144, 186, 81933, 1599, 236789, 500, 11096, 193, 107, 144, 236820, 3024, 4474, 718, 2574, 1411, 8358, 236761, 854, 236786, 146856, 236786, 2293, 7716, 236778, 236771, 236778, 236812, 236761, 5067, 236775, 4466, 718, 134327, 72693, 9466, 905, 107, 144, 236820, 1457, 1798, 1457, 236813, 107, 144, 236820, 2491, 573, 718, 146856, 905, 8955, 506, 3393, 2787, 28168, 2491, 236813, 107, 144, 236820, 2427, 1722, 718, 1005, 236775, 1846, 718, 146856, 236775, 1463, 718, 146856, 236779, 3970, 236775, 3149, 236813, 107, 144, 107, 144, 236820, 1457, 1798, 1457, 236813, 107, 144, 236820, 2427, 1722, 718, 15037, 236775, 1550, 718, 18670, 905, 107, 140, 954, 845, 236813, 107, 229, 107, 228, 107, 2717, 108, 1018, 41497, 55163, 568, 6449, 236779, 50990, 236761, 4523, 1473, 1018, 107, 2717, 4523, 107, 8510, 4523, 107, 715, 17983, 31567, 236774, 72693, 18256, 107, 236795, 11990, 236779, 3970, 578, 623, 2293, 7716, 236778, 236771, 236778, 236812, 1721, 107, 236795, 2364, 236779, 2427, 578, 16780, 9185, 1922, 146856, 236779, 3970, 13405, 108, 584, 568, 1714, 126539, 2530, 2364, 236779, 2427, 236768, 11745, 609, 11990, 236779, 3970, 236768, 642, 107, 140, 22097, 885, 242523, 31567, 236774, 72693, 18256, 8428, 236888, 7323, 2056, 1570, 15920, 107, 236783, 108, 715, 1637, 6915, 31567, 236774, 72693, 18256, 236764, 1657, 15020, 107, 17454, 623, 240732, 36997, 6595, 51212, 107, 715, 4140, 822, 7948, 36410, 3393, 1590, 107, 13765, 107, 2717, 108, 1018, 3503, 12096, 24118, 53121, 107, 236770, 236761, 1174, 2591, 6178, 496, 2002, 31567, 236774, 72693, 3393, 573, 28291, 107, 236778, 236761, 799, 3719, 236787, 107, 139, 236772, 43550, 4940, 31567, 236774, 72693, 17253, 107, 139, 236772, 13516, 1091, 528, 29540, 14845, 20442, 32167, 31106, 1922, 146856, 2000, 18833, 107, 139, 236772, 6890, 1624, 236772, 175461, 9960, 107, 139, 236772, 4140, 3136, 236772, 110970, 531, 5001, 91687, 4912, 13120, 108, 38786, 611, 1133, 786, 531, 1407, 496, 919, 9584, 3567, 1699, 29540, 14845, 573, 10795, 31567, 236774, 72693, 12804, 236881, 236743, 254021, 238178, 252067, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 120176, 236787, 29328, 236764, 564, 236789, 236757, 35447, 496, 3399, 32183, 18006, 657, 506, 48208, 6022, 532, 1202, 531, 2862, 872, 580, 14767, 236761, 3199, 611, 1601, 786, 1586, 14942, 11936, 528, 1041, 65911, 3393, 568, 236770, 236770, 236812, 236800, 236778, 236768, 600, 6739, 32183, 7093, 236764, 93529, 236764, 653, 35009, 573, 506, 2460, 236881, 6890, 506, 14942, 236779, 66325, 5904, 531, 974, 496, 1694, 529, 3835, 236761, 564, 1461, 531, 1386, 2889, 692, 735, 4326, 5508, 573, 506, 2563, 1719, 2148, 2069, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66325, 1083, 78493, 1201, 1083, 623, 70672, 833, 4643, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 9064, 25692, 236764, 48208, 236764, 13476, 236743, 236770, 236770, 236812, 236800, 236778, 827, 623, 17870, 1083, 11058, 34247, 7093, 827, 623, 3147, 4972, 827, 623, 7302, 791, 695, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236761, 236810, 236764, 623, 24392, 1083, 623, 10505, 236772, 110239, 236743, 236770, 236771, 1936, 236772, 236832, 10192, 236764, 15872, 236743, 236819, 1936, 236772, 236810, 10192, 23179, 3714, 1201, 1083, 623, 236774, 9391, 695, 112848, 10498, 623, 7720, 1083, 623, 236812, 236810, 236825, 13835, 17713, 236764, 28216, 236764, 13476, 236743, 236770, 236770, 236812, 236800, 236778, 827, 623, 17870, 1083, 11058, 7302, 791, 695, 827, 623, 1992, 1294, 827, 623, 54075, 27370, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236828, 236764, 623, 24392, 1083, 623, 198521, 236772, 45533, 236743, 236770, 236770, 1936, 236772, 236825, 10192, 23179, 3714, 1201, 1083, 623, 16098, 697, 8870, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 10353, 18977, 236764, 48208, 236764, 13476, 236743, 236770, 236770, 236812, 236800, 236778, 827, 623, 17870, 1083, 11058, 178663, 827, 623, 1553, 42511, 827, 623, 10242, 16683, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236800, 236761, 236770, 236764, 623, 24392, 1083, 623, 42362, 236743, 236832, 1936, 236772, 236770, 236771, 10192, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 2305, 236779, 12485, 236779, 100403, 1083, 236743, 236770, 236771, 236771, 236764, 623, 15905, 236779, 3970, 1083, 623, 236770, 236770, 236812, 236800, 236778, 25938, 106, 107, 105, 4368, 107, 8291, 659, 14942, 11936, 528, 48208, 6022, 568, 92824, 236743, 236770, 236770, 236812, 236800, 236778, 236768, 600, 740, 6429, 822, 32183, 18006, 3548, 236787, 108, 236770, 236761, 5213, 70672, 833, 4643, 1018, 138, 107, 139, 244343, 236743, 236770, 236778, 236800, 9064, 25692, 568, 236778, 236761, 236810, 7635, 3121, 236768, 138, 107, 139, 251988, 555, 10722, 236787, 87063, 7093, 236764, 3905, 4972, 236764, 93529, 138, 107, 139, 252074, 35174, 236787, 4325, 236772, 110239, 236743, 236770, 236771, 1936, 236772, 236832, 10192, 236764, 15872, 236743, 236819, 1936, 236772, 236810, 10192, 138, 108, 236778, 236761, 5213, 236774, 9391, 695, 112848, 99382, 138, 107, 139, 244343, 236743, 236812, 236810, 236825, 13835, 17713, 568, 236770, 236761, 236828, 7635, 3121, 236768, 138, 107, 139, 243594, 555, 10722, 236787, 558, 9391, 695, 236764, 61986, 236764, 8901, 27370, 138, 107, 139, 252074, 35174, 236787, 119428, 236772, 45533, 236743, 236770, 236770, 1936, 236772, 236825, 10192, 138, 108, 236800, 236761, 5213, 16098, 697, 8870, 1018, 138, 107, 139, 244343, 236743, 236832, 236828, 236819, 10353, 18977, 568, 236800, 236761, 236770, 7635, 3121, 236768, 138, 107, 139, 245414, 555, 10722, 236787, 156459, 236764, 46559, 236764, 3627, 16683, 138, 107, 139, 252074, 35174, 236787, 18245, 236743, 236832, 1936, 236772, 236770, 236771, 10192, 138, 108, 818, 3927, 8323, 236743, 236770, 236832, 2558, 11936, 2351, 236743, 236770, 236771, 236771, 7635, 236764, 840, 1239, 236743, 236800, 2890, 784, 822, 6035, 568, 34247, 14767, 236764, 93529, 236764, 532, 35009, 236768, 2351, 236743, 236800, 7635, 529, 506, 3988, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 15232, 236764, 21212, 236764, 653, 4767, 3835, 236888, 236743, 248064, 254021, 238178, 106, 107, 105, 2364, 107, 120176, 236787, 8098, 236888, 3792, 786, 2426, 855, 87063, 833, 4643, 1171, 236761, 3199, 611, 8729, 496, 31567, 236774, 72693, 2471, 573, 1041, 18006, 15020, 1183, 531, 5001, 91292, 236881, 6890, 506, 235020, 236779, 33343, 5904, 607, 496, 4996, 3730, 1695, 532, 2173, 1816, 573, 27820, 236761, 564, 236789, 859, 1138, 625, 531, 506, 3489, 1519, 236772, 1048, 3104, 3622, 564, 974, 506, 2471, 3205, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 146856, 236779, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 146856, 236786, 2293, 7716, 236778, 236771, 236778, 236812, 236761, 5067, 827, 623, 1005, 236779, 3456, 1083, 623, 2293, 7716, 236778, 236771, 236778, 236812, 827, 623, 3631, 236779, 3456, 1083, 623, 236751, 3509, 827, 623, 33828, 236779, 5909, 1083, 236743, 236770, 236771, 236764, 623, 7682, 236779, 3001, 1083, 13659, 236771, 236771, 236771, 236771, 236828, 236799, 827, 623, 1005, 236779, 3001, 1083, 13659, 92130, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 7835, 31567, 236774, 72693, 2471, 573, 506, 32183, 18006, 15020, 236787, 108, 1018, 134327, 72693, 20303, 1018, 138, 107, 478, 397, 386, 402, 5590, 236787, 2165, 2293, 7716, 236778, 236771, 236778, 236812, 236929, 138, 107, 245838, 14857, 236787, 18705, 3730, 20442, 236865, 236771, 236771, 236771, 236771, 236828, 236799, 18833, 138, 107, 246371, 5590, 8040, 236787, 7286, 20442, 236865, 92130, 18833, 138, 107, 247312, 59461, 16575, 236787, 236743, 236770, 236771, 568, 6665, 236768, 138, 107, 248930, 17548, 236787, 181007, 138, 108, 245958, 870, 18086, 31567, 236774, 72693, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 146856, 236786, 2293, 7716, 236778, 236771, 236778, 236812, 236761, 5067, 236768, 138, 108, 2094, 31567, 236774, 72693, 20239, 822, 27820, 6035, 236761, 2282, 4144, 625, 236787, 138, 107, 236770, 236761, 4140, 506, 2471, 3205, 531, 822, 15020, 1183, 138, 107, 236778, 236761, 13516, 506, 1816, 2165, 2293, 7716, 236778, 236771, 236778, 236812, 236929, 53036, 531, 18855, 2342, 2430, 2744, 138, 108, 10282, 236787, 799, 3719, 236764, 611, 236789, 236753, 11082, 8729, 4940, 31567, 236774, 72693, 1816, 532, 4762, 625, 528, 496, 6478, 6471, 236761, 21284, 611, 1133, 786, 531, 3600, 3393, 124230, 573, 37803, 672, 1131, 822, 1183, 236881, 236743, 247182, 238178, 254021, 238178, 106, 107, 105, 2364, 107, 120176, 236787, 11017, 573, 506, 31567, 236774, 72693, 236888, 4224, 564, 1202, 531, 1138, 625, 531, 1041, 15020, 1183, 236761, 3199, 611, 1407, 786, 496, 3606, 16167, 3393, 54369, 600, 19365, 506, 31567, 236774, 72693, 2471, 532, 496, 1816, 2744, 2135, 573, 5089, 531, 1722, 506, 3393, 236881, 6542, 236764, 1217, 776, 564, 18855, 625, 580, 506, 5941, 2678, 1699, 29540, 236881, 17608, 625, 24267, 237028, 236777, 1461, 531, 1386, 2889, 18361, 740, 236858, 236745, 6818, 2180, 17900, 625, 236888, 236743, 249262, 244862, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 3606, 8688, 573, 822, 15020, 1183, 236787, 108, 1018, 8185, 5959, 568, 12884, 236761, 3185, 1473, 1018, 107, 2717, 3185, 107, 19174, 20526, 10523, 236813, 107, 217, 107, 236820, 2834, 236813, 107, 140, 236820, 3250, 236813, 70672, 51544, 36997, 954, 3250, 236813, 107, 954, 2834, 236813, 107, 218, 107, 140, 236820, 845, 2970, 718, 6449, 236779, 50990, 236761, 4523, 236775, 1996, 718, 9185, 905, 107, 144, 11686, 7067, 15020, 6192, 568, 1201, 236764, 4553, 236764, 4044, 2907, 1093, 817, 1590, 7182, 107, 144, 107, 144, 186, 81933, 1599, 236789, 500, 11096, 193, 107, 144, 236820, 3024, 4474, 718, 2574, 1411, 8358, 236761, 854, 236786, 146856, 236786, 2293, 7716, 236778, 236771, 236778, 236812, 236761, 5067, 236775, 4466, 718, 134327, 72693, 9466, 905, 107, 144, 236820, 1457, 1798, 1457, 236813, 107, 144, 236820, 2491, 573, 718, 146856, 905, 8955, 506, 3393, 2787, 28168, 2491, 236813, 107, 144, 236820, 2427, 1722, 718, 1005, 236775, 1846, 718, 146856, 236775, 1463, 718, 146856, 236779, 3970, 236775, 3149, 236813, 107, 144, 107, 144, 236820, 1457, 1798, 1457, 236813, 107, 144, 236820, 2427, 1722, 718, 15037, 236775, 1550, 718, 18670, 905, 107, 140, 954, 845, 236813, 107, 229, 107, 228, 107, 2717, 108, 1018, 41497, 55163, 568, 6449, 236779, 50990, 236761, 4523, 1473, 1018, 107, 2717, 4523, 107, 8510, 4523, 107, 715, 17983, 31567, 236774, 72693, 18256, 107, 236795, 11990, 236779, 3970, 578, 623, 2293, 7716, 236778, 236771, 236778, 236812, 1721, 107, 236795, 2364, 236779, 2427, 578, 16780, 9185, 1922, 146856, 236779, 3970, 13405, 108, 584, 568, 1714, 126539, 2530, 2364, 236779, 2427, 236768, 11745, 609, 11990, 236779, 3970, 236768, 642, 107, 140, 22097, 885, 242523, 31567, 236774, 72693, 18256, 8428, 236888, 7323, 2056, 1570, 15920, 107, 236783, 108, 715, 1637, 6915, 31567, 236774, 72693, 18256, 236764, 1657, 15020, 107, 17454, 623, 240732, 36997, 6595, 51212, 107, 715, 4140, 822, 7948, 36410, 3393, 1590, 107, 13765, 107, 2717, 108, 1018, 3503, 12096, 24118, 53121, 107, 236770, 236761, 1174, 2591, 6178, 496, 2002, 31567, 236774, 72693, 3393, 573, 28291, 107, 236778, 236761, 799, 3719, 236787, 107, 139, 236772, 43550, 4940, 31567, 236774, 72693, 17253, 107, 139, 236772, 13516, 1091, 528, 29540, 14845, 20442, 32167, 31106, 1922, 146856, 2000, 18833, 107, 139, 236772, 6890, 1624, 236772, 175461, 9960, 107, 139, 236772, 4140, 3136, 236772, 110970, 531, 5001, 91687, 4912, 13120, 108, 38786, 611, 1133, 786, 531, 1407, 496, 919, 9584, 3567, 1699, 29540, 14845, 573, 10795, 31567, 236774, 72693, 12804, 236881, 236743, 254021, 238178, 252067, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236764, 564, 1202, 10686, 7107, 496, 861, 17709, 528, 1023, 9488, 236762, 1934, 2881, 573, 496, 28594, 7073, 236761, 669, 17709, 1374, 577, 7489, 756, 48488, 195608, 45466, 236789, 607, 1722, 756, 3185, 236789, 532, 3678, 3004, 756, 48488, 23387, 236787, 236743, 236778, 236771, 236908, 5357, 2343, 40276, 6748, 28344, 611, 8729, 506, 6780, 9299, 2864, 573, 672, 236881, 564, 236789, 859, 1202, 531, 3540, 506, 10434, 3904, 1680, 14860, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 236743, 236778, 236771, 236770, 236764, 623, 1516, 1083, 3714, 547, 1083, 623, 791, 236779, 236819, 236763, 236800, 236825, 236760, 236828, 236746, 236778, 827, 623, 1201, 1083, 623, 48488, 195608, 45466, 827, 623, 2084, 1083, 623, 3185, 827, 623, 6665, 236779, 3955, 1083, 623, 224, 48488, 23387, 236787, 236743, 236778, 236771, 236908, 5357, 2343, 40276, 235, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 23179, 623, 20714, 1083, 3714, 4795, 236772, 2328, 1083, 623, 9458, 236786, 3723, 827, 623, 6375, 1083, 9560, 3677, 236786, 236766, 236770, 236786, 2811, 12446, 236786, 791, 236779, 236819, 236763, 236800, 236825, 236760, 236828, 236746, 236778, 127096, 106, 107, 105, 4368, 107, 818, 861, 17709, 756, 48488, 195608, 45466, 236789, 815, 1010, 10428, 4464, 528, 822, 9488, 236762, 1934, 2881, 236761, 5715, 236789, 236751, 506, 26093, 699, 506, 9299, 3072, 236787, 108, 1018, 114812, 20303, 53121, 107, 236772, 5213, 1735, 53121, 1067, 236779, 236819, 236763, 236800, 236825, 236760, 236828, 236746, 236778, 107, 236772, 5213, 1567, 53121, 16175, 195608, 45466, 107, 236772, 5213, 2328, 53121, 10523, 107, 236772, 5213, 6312, 16748, 53121, 2165, 224, 48488, 23387, 236787, 236743, 236778, 236771, 236908, 5357, 2343, 40276, 235, 236929, 107, 236772, 5213, 31712, 2640, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 108, 818, 6511, 563, 15283, 657, 236787, 86072, 3677, 236786, 236766, 236770, 236786, 2811, 12446, 236786, 791, 236779, 236819, 236763, 236800, 236825, 236760, 236828, 236746, 236778, 236929, 108, 3048, 740, 1492, 5577, 672, 17709, 528, 822, 28594, 7073, 29262, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 653, 4767, 6675, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 7107, 506, 17709, 236761, 4224, 564, 1202, 531, 1138, 496, 13041, 28307, 5089, 699, 506, 14225, 40775, 4128, 236761, 28344, 611, 4610, 506, 17709, 607, 496, 861, 13041, 1699, 506, 1638, 1722, 840, 607, 3004, 756, 48488, 23387, 236787, 236743, 236778, 236771, 236908, 5357, 2343, 40276, 753, 55561, 236824, 10624, 236789, 532, 496, 4194, 600, 16819, 672, 13041, 1056, 506, 2430, 236789, 236751, 4563, 563, 756, 47204, 40775, 103709, 7323, 3204, 506, 9951, 4194, 9831, 528, 506, 9299, 2864, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 193716, 236779, 547, 1083, 623, 1967, 236779, 33061, 236765, 827, 623, 2855, 236779, 4818, 1083, 236743, 236778, 236771, 236770, 236764, 623, 20714, 1083, 3714, 4795, 236772, 2328, 1083, 623, 9458, 236786, 3723, 827, 623, 6375, 1083, 9560, 3677, 236786, 236766, 236770, 236786, 2811, 12446, 236786, 791, 236779, 236819, 236763, 236800, 236825, 236760, 236828, 236746, 236778, 236786, 6320, 847, 236786, 1967, 236779, 33061, 236765, 23179, 623, 3063, 1083, 3714, 4375, 1083, 623, 167438, 4464, 10428, 827, 623, 193716, 1083, 3714, 547, 1083, 623, 1967, 236779, 33061, 236765, 827, 623, 41907, 1083, 3714, 3593, 1083, 623, 7125, 827, 623, 4132, 1083, 623, 9590, 827, 623, 2394, 1083, 623, 47204, 40775, 23179, 623, 3955, 1083, 623, 224, 48488, 23387, 236787, 236743, 236778, 236771, 236908, 5357, 2343, 40276, 753, 55561, 236824, 10624, 235, 827, 623, 2084, 1083, 623, 3185, 236775, 19465, 106, 107, 105, 4368, 107, 818, 13041, 28307, 506, 14225, 40775, 4128, 815, 1010, 10428, 3742, 531, 822, 17709, 236761, 5715, 236789, 236751, 506, 26093, 236787, 108, 1018, 167438, 20303, 53121, 107, 236772, 5213, 1735, 53121, 1911, 236779, 33061, 236765, 107, 236772, 5213, 70092, 53121, 236743, 107, 138, 236772, 12219, 236787, 2165, 7125, 236929, 107, 138, 236772, 52409, 236787, 2165, 9590, 236929, 107, 138, 236772, 12155, 236787, 2165, 47204, 40775, 236929, 107, 236772, 5213, 4795, 53121, 2165, 224, 48488, 23387, 236787, 236743, 236778, 236771, 236908, 5357, 2343, 40276, 753, 55561, 236824, 10624, 235, 236929, 107, 236772, 5213, 2328, 53121, 10523, 108, 2094, 13041, 795, 1492, 28039, 1056, 5089, 699, 506, 14225, 40775, 4128, 12740, 607, 822, 7073, 236761, 669, 6511, 563, 15283, 657, 236787, 138, 107, 143492, 3677, 236786, 236766, 236770, 236786, 2811, 12446, 236786, 791, 236779, 236819, 236763, 236800, 236825, 236760, 236828, 236746, 236778, 236786, 6320, 847, 236786, 1967, 236779, 33061, 236765, 236929, 108, 38786, 611, 1133, 531, 1138, 4767, 15936, 653, 1594, 506, 9831, 236881, 106, 107, 105, 2364, 107, 20418, 236764, 7806, 611, 236761, 4224, 564, 236789, 236753, 1133, 531, 1138, 2264, 13041, 10916, 573, 6551, 5089, 528, 25930, 236761, 28344, 611, 4610, 506, 1638, 17709, 607, 496, 13041, 600, 28619, 1156, 3439, 236787, 4563, 14339, 756, 112421, 236789, 4715, 2430, 236779, 20154, 6097, 756, 23104, 103709, 669, 3004, 1374, 577, 756, 245215, 16175, 18424, 10624, 236787, 236743, 236778, 236810, 236908, 5357, 753, 25930, 10522, 236789, 532, 4883, 506, 10523, 1722, 236761, 7323, 6518, 506, 9299, 2864, 531, 3204, 1800, 3439, 528, 506, 9951, 9831, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 2855, 236779, 4818, 1083, 236743, 236778, 236771, 236770, 236764, 623, 6275, 1083, 3714, 547, 1083, 623, 1967, 236779, 236832, 236755, 236825, 236753, 236800, 236746, 236770, 236763, 827, 623, 41907, 1083, 78493, 3593, 1083, 623, 7125, 827, 623, 4132, 1083, 623, 9590, 827, 623, 2394, 1083, 623, 112421, 23179, 3714, 3593, 1083, 623, 2364, 236779, 20154, 827, 623, 4132, 1083, 623, 13848, 827, 623, 2394, 1083, 623, 23104, 25938, 1604, 623, 3955, 1083, 623, 224, 236785, 689, 236828, 236800, 236753, 236785, 689, 10676, 236770, 16175, 18424, 10624, 236787, 236743, 236778, 236810, 236908, 5357, 753, 25930, 10522, 235, 827, 623, 2084, 1083, 623, 3185, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236812, 236810, 236953, 127096, 106, 107, 105, 4368, 107, 818, 13041, 28307, 25930, 6551, 5089, 815, 1010, 10428, 28331, 236761, 5715, 659, 506, 4889, 236787, 108, 1018, 167438, 20303, 53121, 107, 236772, 5213, 1735, 53121, 1911, 236779, 236832, 236755, 236825, 236753, 236800, 236746, 236770, 236763, 107, 236772, 5213, 70092, 53121, 138, 107, 138, 236770, 236761, 2165, 7125, 236929, 14339, 2165, 112421, 236929, 138, 107, 138, 236778, 236761, 2165, 2364, 236779, 20154, 236929, 6097, 2165, 23104, 236929, 107, 236772, 5213, 4795, 53121, 2165, 224, 245215, 16175, 18424, 10624, 236787, 236743, 236778, 236810, 236908, 5357, 753, 25930, 10522, 235, 236929, 138, 107, 236772, 5213, 2328, 53121, 10523, 138, 107, 236772, 5213, 31712, 2640, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236812, 236810, 236953, 138, 108, 2094, 13041, 795, 28039, 573, 6551, 5089, 528, 25930, 532, 563, 1492, 15283, 657, 236787, 138, 107, 143492, 3677, 236786, 236766, 236770, 236786, 2811, 12446, 236786, 791, 236779, 236819, 236763, 236800, 236825, 236760, 236828, 236746, 236778, 236786, 6320, 847, 236786, 1967, 236779, 236832, 236755, 236825, 236753, 236800, 236746, 236770, 236763, 236929, 108, 818, 17709, 1492, 12765, 1806, 15936, 236787, 107, 236770, 236761, 19367, 3004, 573, 784, 5089, 138, 107, 236778, 236761, 55561, 236824, 236772, 15396, 3004, 138, 107, 236800, 236761, 25930, 6551, 236772, 15396, 3004, 138, 108, 38786, 611, 1133, 531, 1594, 506, 13041, 13179, 653, 1138, 28307, 573, 4767, 9576, 236786, 64924, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236764, 564, 1202, 10686, 7107, 496, 861, 17709, 528, 1023, 9488, 236762, 1934, 2881, 573, 496, 28594, 7073, 236761, 669, 17709, 1374, 577, 7489, 756, 48488, 195608, 45466, 236789, 607, 1722, 756, 3185, 236789, 532, 3678, 3004, 756, 48488, 23387, 236787, 236743, 236778, 236771, 236908, 5357, 2343, 40276, 6748, 28344, 611, 8729, 506, 6780, 9299, 2864, 573, 672, 236881, 564, 236789, 859, 1202, 531, 3540, 506, 10434, 3904, 1680, 14860, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 236743, 236778, 236771, 236770, 236764, 623, 1516, 1083, 3714, 547, 1083, 623, 791, 236779, 236819, 236763, 236800, 236825, 236760, 236828, 236746, 236778, 827, 623, 1201, 1083, 623, 48488, 195608, 45466, 827, 623, 2084, 1083, 623, 3185, 827, 623, 6665, 236779, 3955, 1083, 623, 224, 48488, 23387, 236787, 236743, 236778, 236771, 236908, 5357, 2343, 40276, 235, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 23179, 623, 20714, 1083, 3714, 4795, 236772, 2328, 1083, 623, 9458, 236786, 3723, 827, 623, 6375, 1083, 9560, 3677, 236786, 236766, 236770, 236786, 2811, 12446, 236786, 791, 236779, 236819, 236763, 236800, 236825, 236760, 236828, 236746, 236778, 127096, 106, 107, 105, 4368, 107, 818, 861, 17709, 756, 48488, 195608, 45466, 236789, 815, 1010, 10428, 4464, 528, 822, 9488, 236762, 1934, 2881, 236761, 5715, 236789, 236751, 506, 26093, 699, 506, 9299, 3072, 236787, 108, 1018, 114812, 20303, 53121, 107, 236772, 5213, 1735, 53121, 1067, 236779, 236819, 236763, 236800, 236825, 236760, 236828, 236746, 236778, 107, 236772, 5213, 1567, 53121, 16175, 195608, 45466, 107, 236772, 5213, 2328, 53121, 10523, 107, 236772, 5213, 6312, 16748, 53121, 2165, 224, 48488, 23387, 236787, 236743, 236778, 236771, 236908, 5357, 2343, 40276, 235, 236929, 107, 236772, 5213, 31712, 2640, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 108, 818, 6511, 563, 15283, 657, 236787, 86072, 3677, 236786, 236766, 236770, 236786, 2811, 12446, 236786, 791, 236779, 236819, 236763, 236800, 236825, 236760, 236828, 236746, 236778, 236929, 108, 3048, 740, 1492, 5577, 672, 17709, 528, 822, 28594, 7073, 29262, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 653, 4767, 6675, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 7107, 506, 17709, 236761, 4224, 564, 1202, 531, 1138, 496, 13041, 28307, 5089, 699, 506, 14225, 40775, 4128, 236761, 28344, 611, 4610, 506, 17709, 607, 496, 861, 13041, 1699, 506, 1638, 1722, 840, 607, 3004, 756, 48488, 23387, 236787, 236743, 236778, 236771, 236908, 5357, 2343, 40276, 753, 55561, 236824, 10624, 236789, 532, 496, 4194, 600, 16819, 672, 13041, 1056, 506, 2430, 236789, 236751, 4563, 563, 756, 47204, 40775, 103709, 7323, 3204, 506, 9951, 4194, 9831, 528, 506, 9299, 2864, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 193716, 236779, 547, 1083, 623, 1967, 236779, 33061, 236765, 827, 623, 2855, 236779, 4818, 1083, 236743, 236778, 236771, 236770, 236764, 623, 20714, 1083, 3714, 4795, 236772, 2328, 1083, 623, 9458, 236786, 3723, 827, 623, 6375, 1083, 9560, 3677, 236786, 236766, 236770, 236786, 2811, 12446, 236786, 791, 236779, 236819, 236763, 236800, 236825, 236760, 236828, 236746, 236778, 236786, 6320, 847, 236786, 1967, 236779, 33061, 236765, 23179, 623, 3063, 1083, 3714, 4375, 1083, 623, 167438, 4464, 10428, 827, 623, 193716, 1083, 3714, 547, 1083, 623, 1967, 236779, 33061, 236765, 827, 623, 41907, 1083, 3714, 3593, 1083, 623, 7125, 827, 623, 4132, 1083, 623, 9590, 827, 623, 2394, 1083, 623, 47204, 40775, 23179, 623, 3955, 1083, 623, 224, 48488, 23387, 236787, 236743, 236778, 236771, 236908, 5357, 2343, 40276, 753, 55561, 236824, 10624, 235, 827, 623, 2084, 1083, 623, 3185, 236775, 19465, 106, 107, 105, 4368, 107, 818, 13041, 28307, 506, 14225, 40775, 4128, 815, 1010, 10428, 3742, 531, 822, 17709, 236761, 5715, 236789, 236751, 506, 26093, 236787, 108, 1018, 167438, 20303, 53121, 107, 236772, 5213, 1735, 53121, 1911, 236779, 33061, 236765, 107, 236772, 5213, 70092, 53121, 236743, 107, 138, 236772, 12219, 236787, 2165, 7125, 236929, 107, 138, 236772, 52409, 236787, 2165, 9590, 236929, 107, 138, 236772, 12155, 236787, 2165, 47204, 40775, 236929, 107, 236772, 5213, 4795, 53121, 2165, 224, 48488, 23387, 236787, 236743, 236778, 236771, 236908, 5357, 2343, 40276, 753, 55561, 236824, 10624, 235, 236929, 107, 236772, 5213, 2328, 53121, 10523, 108, 2094, 13041, 795, 1492, 28039, 1056, 5089, 699, 506, 14225, 40775, 4128, 12740, 607, 822, 7073, 236761, 669, 6511, 563, 15283, 657, 236787, 138, 107, 143492, 3677, 236786, 236766, 236770, 236786, 2811, 12446, 236786, 791, 236779, 236819, 236763, 236800, 236825, 236760, 236828, 236746, 236778, 236786, 6320, 847, 236786, 1967, 236779, 33061, 236765, 236929, 108, 38786, 611, 1133, 531, 1138, 4767, 15936, 653, 1594, 506, 9831, 236881, 106, 107, 105, 2364, 107, 20418, 236764, 7806, 611, 236761, 4224, 564, 236789, 236753, 1133, 531, 1138, 2264, 13041, 10916, 573, 6551, 5089, 528, 25930, 236761, 28344, 611, 4610, 506, 1638, 17709, 607, 496, 13041, 600, 28619, 1156, 3439, 236787, 4563, 14339, 756, 112421, 236789, 4715, 2430, 236779, 20154, 6097, 756, 23104, 103709, 669, 3004, 1374, 577, 756, 245215, 16175, 18424, 10624, 236787, 236743, 236778, 236810, 236908, 5357, 753, 25930, 10522, 236789, 532, 4883, 506, 10523, 1722, 236761, 7323, 6518, 506, 9299, 2864, 531, 3204, 1800, 3439, 528, 506, 9951, 9831, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 2855, 236779, 4818, 1083, 236743, 236778, 236771, 236770, 236764, 623, 6275, 1083, 3714, 547, 1083, 623, 1967, 236779, 236832, 236755, 236825, 236753, 236800, 236746, 236770, 236763, 827, 623, 41907, 1083, 78493, 3593, 1083, 623, 7125, 827, 623, 4132, 1083, 623, 9590, 827, 623, 2394, 1083, 623, 112421, 23179, 3714, 3593, 1083, 623, 2364, 236779, 20154, 827, 623, 4132, 1083, 623, 13848, 827, 623, 2394, 1083, 623, 23104, 25938, 1604, 623, 3955, 1083, 623, 224, 236785, 689, 236828, 236800, 236753, 236785, 689, 10676, 236770, 16175, 18424, 10624, 236787, 236743, 236778, 236810, 236908, 5357, 753, 25930, 10522, 235, 827, 623, 2084, 1083, 623, 3185, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236812, 236810, 236953, 127096, 106, 107, 105, 4368, 107, 818, 13041, 28307, 25930, 6551, 5089, 815, 1010, 10428, 28331, 236761, 5715, 659, 506, 4889, 236787, 108, 1018, 167438, 20303, 53121, 107, 236772, 5213, 1735, 53121, 1911, 236779, 236832, 236755, 236825, 236753, 236800, 236746, 236770, 236763, 107, 236772, 5213, 70092, 53121, 138, 107, 138, 236770, 236761, 2165, 7125, 236929, 14339, 2165, 112421, 236929, 138, 107, 138, 236778, 236761, 2165, 2364, 236779, 20154, 236929, 6097, 2165, 23104, 236929, 107, 236772, 5213, 4795, 53121, 2165, 224, 245215, 16175, 18424, 10624, 236787, 236743, 236778, 236810, 236908, 5357, 753, 25930, 10522, 235, 236929, 138, 107, 236772, 5213, 2328, 53121, 10523, 138, 107, 236772, 5213, 31712, 2640, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236812, 236810, 236953, 138, 108, 2094, 13041, 795, 28039, 573, 6551, 5089, 528, 25930, 532, 563, 1492, 15283, 657, 236787, 138, 107, 143492, 3677, 236786, 236766, 236770, 236786, 2811, 12446, 236786, 791, 236779, 236819, 236763, 236800, 236825, 236760, 236828, 236746, 236778, 236786, 6320, 847, 236786, 1967, 236779, 236832, 236755, 236825, 236753, 236800, 236746, 236770, 236763, 236929, 108, 818, 17709, 1492, 12765, 1806, 15936, 236787, 107, 236770, 236761, 19367, 3004, 573, 784, 5089, 138, 107, 236778, 236761, 55561, 236824, 236772, 15396, 3004, 138, 107, 236800, 236761, 25930, 6551, 236772, 15396, 3004, 138, 108, 38786, 611, 1133, 531, 1594, 506, 13041, 13179, 653, 1138, 28307, 573, 4767, 9576, 236786, 64924, 236881, 106, 107 ]