Datasets:
Dmitriy007
/
Lenta_2

Dataset card Viewer Files Community
1
Search is not available for this dataset
input_ids
sequencelengths
1.05k
1.05k
attention_mask
sequencelengths
1.05k
1.05k
labels
sequencelengths
1.05k
1.05k
[ 16, 4813, 309, 11587, 448, 39588, 281, 12765, 16527, 16, 41627, 38603, 2608, 28499, 282, 8408, 22714, 38221, 1188, 19297, 14855, 16911, 309, 4059, 30558, 13948, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5324, 11116, 7015, 4863, 411, 478, 780, 1191, 300, 350, 613, 910, 4090, 24652, 334, 21880, 478, 20659, 2064, 432, 21118, 470, 360, 44944, 18, 6592, 3352, 5792, 16, 7143, 5544, 409, 1502, 434, 5115, 14481, 4843, 10590, 3763, 18, 31224, 30, 677, 5324, 11116, 7015, 4863, 411, 4090, 24652, 334, 21880, 478, 20659, 2064, 432, 21118, 470, 360, 44944, 18, 17076, 16, 35474, 5267, 478, 780, 1191, 576, 3733, 910, 21269, 15499, 4044, 17, 39963, 4762, 16, 8380, 5375, 294, 24067, 416, 351, 409, 16, 17980, 12319, 2675, 2161, 607, 4426, 504, 4931, 43549, 552, 16, 510, 722, 16, 4213, 16, 3989, 4332, 1147, 1474, 10294, 18, 985, 4848, 39762, 28794, 289, 7459, 4178, 11338, 6260, 727, 1083, 331, 473, 478, 38877, 501, 451, 1135, 470, 25408, 11618, 478, 780, 1191, 300, 350, 613, 470, 840, 17601, 1954, 1011, 13863, 24836, 16, 515, 764, 519, 20227, 264, 28240, 36114, 16, 502, 912, 21269, 290, 17758, 1251, 478, 47045, 9125, 302, 452, 4890, 470, 289, 478, 35241, 2289, 979, 3402, 861, 478, 9489, 29274, 30256, 361, 289, 504, 627, 43549, 712, 31608, 305, 1726, 290, 4413, 567, 1153, 21880, 478, 20659, 2064, 432, 21118, 861, 478, 780, 1191, 576, 3733, 470, 14493, 2159, 6287, 1011, 13863, 24836, 289, 519, 20227, 264, 28240, 36114, 18, 889, 840, 5517, 15499, 837, 17, 39963, 1645, 16, 1544, 12873, 309, 10020, 12782, 6036, 47047, 16, 988, 322, 16995, 11710, 21663, 6664, 910, 510, 3828, 492, 18, 20405, 16, 374, 1974, 281, 727, 1083, 331, 19279, 440, 15273, 5115, 19222, 484, 5037, 33911, 633, 74, 5647, 25003, 1452, 33928, 18, 1895, 7627, 4309, 4183, 10390, 540, 42675, 27146, 275, 727, 857, 307, 16, 5184, 5305, 40621, 434, 26914, 429, 478, 20659, 2064, 448, 2793, 30, 45596, 20714, 1970, 470, 289, 4335, 28636, 4568, 9776, 2516, 334, 294, 2506, 9055, 1734, 18, 999, 7794, 26537, 2671, 2449, 478, 780, 1191, 300, 350, 613, 470, 1747, 11558, 9266, 343, 18416, 266, 1682, 473, 478, 23555, 30, 472, 1225, 324, 1866, 470, 25408, 26483, 727, 395, 7662, 265, 342, 473, 478, 682, 441, 405, 4415, 470, 25408, 4342, 3346, 688, 6194, 6166, 46352, 6140, 370, 9979, 289, 21412, 18357, 267, 24921, 1145, 768, 48890, 16, 13036, 478, 780, 1592, 17958, 718, 10485, 861, 14541, 416, 3352, 290, 531, 843, 24652, 309, 5734, 2083, 1003, 16, 2686, 16, 5938, 39394, 16, 14340, 6795, 2895, 496, 309, 21659, 10095, 5703, 1623, 39434, 331, 3551, 43878, 411, 478, 20314, 2035, 16119, 22879, 491, 470, 289, 9776, 2516, 478, 732, 844, 23595, 2347, 470, 289, 478, 682, 441, 405, 861, 9432, 309, 25289, 726, 19423, 16, 515, 48814, 21492, 4439, 431, 1650, 2873, 764, 322, 19645, 18, 20466, 16, 290, 828, 942, 3111, 281, 6409, 24049, 16, 510, 11585, 478, 780, 1191, 576, 3733, 470, 309, 16569, 47464, 1161, 29205, 44944, 473, 46514, 764, 935, 322, 4463, 8991, 13, 322, 3255, 2992, 11678, 26155, 779, 18, 4756, 282, 5792, 7134, 8915, 290, 38204, 24652, 16, 1029, 8641, 12076, 4843, 10590, 3763, 16, 502, 912, 334, 4843, 2479, 3763, 309, 10168, 411, 5544, 17035, 18, 36844, 16, 10777, 4538, 16, 20641, 7124, 473, 31713, 32114, 1952, 478, 33929, 933, 16316, 910, 3057, 16, 309, 2174, 322, 49501, 934, 515, 28386, 14285, 7630, 44944, 1033, 828, 48768, 30, 39805, 16, 3730, 29374, 664, 262, 7327, 506, 281, 10530, 49190, 289, 1059, 980, 8420, 5427, 309, 697, 4577, 16, 4726, 322, 2879, 4144, 589, 506, 309, 3674, 18, 365, 803, 11366, 1038, 2438, 3665, 290, 30554, 33911, 633, 74, 5647, 10205, 6940, 19136, 17, 21131, 478, 20659, 2064, 432, 21118, 910, 7265, 28383, 2024, 32872, 2048, 726, 10048, 25348, 12067, 272, 727, 28621, 16, 2236, 411, 3322, 18036, 289, 23827, 21208, 294, 2506, 9055, 1734, 18, 824, 3352, 1273, 18734, 44204, 11438, 37479, 16, 9440, 4309, 5115, 685, 13232, 5930, 4961, 478, 1098, 1041, 324, 470, 19885, 34116, 7505, 280, 1624, 367, 3059, 19279, 16275, 45287, 24154, 272, 19758, 3418, 877, 1624, 282, 2159, 808, 1650, 12640, 19311, 15474, 290, 478, 10150, 280, 1751, 459, 3646, 470, 289, 1426, 2095, 478, 822, 22287, 864, 332, 861, 5043, 16, 726, 5957, 411, 16248, 2458, 19544, 2319, 1033, 681, 9606, 448, 541, 28654, 7036, 30, 1011, 47906, 478, 1916, 2334, 385, 1412, 470, 1624, 6740, 19136, 17, 21131, 264, 478, 20659, 2064, 432, 21118, 910, 3785, 8641, 14640, 1154, 2768, 1195, 6867, 45112, 353, 1888, 9261, 29274, 32506, 14582, 2161, 607, 16, 9462, 35526, 309, 11184, 49917, 10390, 540, 8649, 49254, 18, 27498, 525, 6266, 478, 15164, 434, 23351, 3150, 470, 473, 17863, 8618, 5267, 3217, 3453, 15268, 323, 2095, 934, 2581, 406, 16, 374, 23383, 4781, 807, 5967, 12731, 8087, 309, 31776, 26155, 779, 18, 385, 10045, 382, 23310, 16, 282, 18200, 1754, 9311, 18026, 450, 4790, 551, 1624, 46393, 7070, 288, 508, 1624, 34415, 27400, 310, 267, 1624, 27146, 848, 38239, 326, 1624, 6260, 18720, 263, 486, 1624, 17748, 625, 18, 42143, 16, 403, 1633, 12626, 310, 289, 33730, 3911, 42315, 16, 19911, 414, 282, 9220, 2529, 11872, 510, 289, 726, 5957, 282, 3781, 272, 2178, 262, 9528, 5487, 10621, 722, 30841, 18, 996, 16, 334, 8954, 45400, 13224, 435, 20609, 8641, 16051, 290, 587, 3685, 944, 3960, 28240, 36114, 16, 3012, 11100, 2898, 668, 4371, 27252, 3849, 3707, 16, 289, 16, 2454, 274, 15400, 14781, 16, 25775, 16, 374, 22186, 1305, 1623, 6118, 768, 2275, 18, 415, 14123, 617, 4760, 48863, 1314, 5702, 687, 48187, 510, 334, 5833, 3538, 16, 282, 16248, 697, 7614, 17858, 322, 13202, 4110, 18, 832, 20846, 16, 374, 1976, 3407, 5825, 510, 322, 374, 13895, 16, 428, 1934, 3050, 478, 487, 343, 470, 360, 11753, 7620, 33911, 633, 74, 5647, 16, 18090, 26965, 2904, 5792, 360, 24431, 311, 420, 1356, 2259, 25955, 5115, 18, 2, 1, 87, 1456, 81, 2448, 30, 1605, 3646, 17, 2210, 342, 417, 10123, 680, 9358, 4699, 15978, 4855, 21, 6370, 21335, 289, 505, 9128, 8615, 341, 8993, 28384, 334, 6619, 290, 3341, 1165, 26333, 18, 46899, 11285, 20546, 2154, 381, 697, 25873, 424, 32496, 18, 1681, 9444, 5696, 3583, 289, 28557, 7408, 4820, 775, 548, 11451, 11060 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 4813, 309, 11587, 448, 39588, 281, 12765, 16527, 16, 41627, 38603, 2608, 28499, 282, 8408, 22714, 38221, 1188, 19297, 14855, 16911, 309, 4059, 30558, 13948, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5324, 11116, 7015, 4863, 411, 478, 780, 1191, 300, 350, 613, 910, 4090, 24652, 334, 21880, 478, 20659, 2064, 432, 21118, 470, 360, 44944, 18, 6592, 3352, 5792, 16, 7143, 5544, 409, 1502, 434, 5115, 14481, 4843, 10590, 3763, 18, 31224, 30, 677, 5324, 11116, 7015, 4863, 411, 4090, 24652, 334, 21880, 478, 20659, 2064, 432, 21118, 470, 360, 44944, 18, 17076, 16, 35474, 5267, 478, 780, 1191, 576, 3733, 910, 21269, 15499, 4044, 17, 39963, 4762, 16, 8380, 5375, 294, 24067, 416, 351, 409, 16, 17980, 12319, 2675, 2161, 607, 4426, 504, 4931, 43549, 552, 16, 510, 722, 16, 4213, 16, 3989, 4332, 1147, 1474, 10294, 18, 985, 4848, 39762, 28794, 289, 7459, 4178, 11338, 6260, 727, 1083, 331, 473, 478, 38877, 501, 451, 1135, 470, 25408, 11618, 478, 780, 1191, 300, 350, 613, 470, 840, 17601, 1954, 1011, 13863, 24836, 16, 515, 764, 519, 20227, 264, 28240, 36114, 16, 502, 912, 21269, 290, 17758, 1251, 478, 47045, 9125, 302, 452, 4890, 470, 289, 478, 35241, 2289, 979, 3402, 861, 478, 9489, 29274, 30256, 361, 289, 504, 627, 43549, 712, 31608, 305, 1726, 290, 4413, 567, 1153, 21880, 478, 20659, 2064, 432, 21118, 861, 478, 780, 1191, 576, 3733, 470, 14493, 2159, 6287, 1011, 13863, 24836, 289, 519, 20227, 264, 28240, 36114, 18, 889, 840, 5517, 15499, 837, 17, 39963, 1645, 16, 1544, 12873, 309, 10020, 12782, 6036, 47047, 16, 988, 322, 16995, 11710, 21663, 6664, 910, 510, 3828, 492, 18, 20405, 16, 374, 1974, 281, 727, 1083, 331, 19279, 440, 15273, 5115, 19222, 484, 5037, 33911, 633, 74, 5647, 25003, 1452, 33928, 18, 1895, 7627, 4309, 4183, 10390, 540, 42675, 27146, 275, 727, 857, 307, 16, 5184, 5305, 40621, 434, 26914, 429, 478, 20659, 2064, 448, 2793, 30, 45596, 20714, 1970, 470, 289, 4335, 28636, 4568, 9776, 2516, 334, 294, 2506, 9055, 1734, 18, 999, 7794, 26537, 2671, 2449, 478, 780, 1191, 300, 350, 613, 470, 1747, 11558, 9266, 343, 18416, 266, 1682, 473, 478, 23555, 30, 472, 1225, 324, 1866, 470, 25408, 26483, 727, 395, 7662, 265, 342, 473, 478, 682, 441, 405, 4415, 470, 25408, 4342, 3346, 688, 6194, 6166, 46352, 6140, 370, 9979, 289, 21412, 18357, 267, 24921, 1145, 768, 48890, 16, 13036, 478, 780, 1592, 17958, 718, 10485, 861, 14541, 416, 3352, 290, 531, 843, 24652, 309, 5734, 2083, 1003, 16, 2686, 16, 5938, 39394, 16, 14340, 6795, 2895, 496, 309, 21659, 10095, 5703, 1623, 39434, 331, 3551, 43878, 411, 478, 20314, 2035, 16119, 22879, 491, 470, 289, 9776, 2516, 478, 732, 844, 23595, 2347, 470, 289, 478, 682, 441, 405, 861, 9432, 309, 25289, 726, 19423, 16, 515, 48814, 21492, 4439, 431, 1650, 2873, 764, 322, 19645, 18, 20466, 16, 290, 828, 942, 3111, 281, 6409, 24049, 16, 510, 11585, 478, 780, 1191, 576, 3733, 470, 309, 16569, 47464, 1161, 29205, 44944, 473, 46514, 764, 935, 322, 4463, 8991, 13, 322, 3255, 2992, 11678, 26155, 779, 18, 4756, 282, 5792, 7134, 8915, 290, 38204, 24652, 16, 1029, 8641, 12076, 4843, 10590, 3763, 16, 502, 912, 334, 4843, 2479, 3763, 309, 10168, 411, 5544, 17035, 18, 36844, 16, 10777, 4538, 16, 20641, 7124, 473, 31713, 32114, 1952, 478, 33929, 933, 16316, 910, 3057, 16, 309, 2174, 322, 49501, 934, 515, 28386, 14285, 7630, 44944, 1033, 828, 48768, 30, 39805, 16, 3730, 29374, 664, 262, 7327, 506, 281, 10530, 49190, 289, 1059, 980, 8420, 5427, 309, 697, 4577, 16, 4726, 322, 2879, 4144, 589, 506, 309, 3674, 18, 365, 803, 11366, 1038, 2438, 3665, 290, 30554, 33911, 633, 74, 5647, 10205, 6940, 19136, 17, 21131, 478, 20659, 2064, 432, 21118, 910, 7265, 28383, 2024, 32872, 2048, 726, 10048, 25348, 12067, 272, 727, 28621, 16, 2236, 411, 3322, 18036, 289, 23827, 21208, 294, 2506, 9055, 1734, 18, 824, 3352, 1273, 18734, 44204, 11438, 37479, 16, 9440, 4309, 5115, 685, 13232, 5930, 4961, 478, 1098, 1041, 324, 470, 19885, 34116, 7505, 280, 1624, 367, 3059, 19279, 16275, 45287, 24154, 272, 19758, 3418, 877, 1624, 282, 2159, 808, 1650, 12640, 19311, 15474, 290, 478, 10150, 280, 1751, 459, 3646, 470, 289, 1426, 2095, 478, 822, 22287, 864, 332, 861, 5043, 16, 726, 5957, 411, 16248, 2458, 19544, 2319, 1033, 681, 9606, 448, 541, 28654, 7036, 30, 1011, 47906, 478, 1916, 2334, 385, 1412, 470, 1624, 6740, 19136, 17, 21131, 264, 478, 20659, 2064, 432, 21118, 910, 3785, 8641, 14640, 1154, 2768, 1195, 6867, 45112, 353, 1888, 9261, 29274, 32506, 14582, 2161, 607, 16, 9462, 35526, 309, 11184, 49917, 10390, 540, 8649, 49254, 18, 27498, 525, 6266, 478, 15164, 434, 23351, 3150, 470, 473, 17863, 8618, 5267, 3217, 3453, 15268, 323, 2095, 934, 2581, 406, 16, 374, 23383, 4781, 807, 5967, 12731, 8087, 309, 31776, 26155, 779, 18, 385, 10045, 382, 23310, 16, 282, 18200, 1754, 9311, 18026, 450, 4790, 551, 1624, 46393, 7070, 288, 508, 1624, 34415, 27400, 310, 267, 1624, 27146, 848, 38239, 326, 1624, 6260, 18720, 263, 486, 1624, 17748, 625, 18, 42143, 16, 403, 1633, 12626, 310, 289, 33730, 3911, 42315, 16, 19911, 414, 282, 9220, 2529, 11872, 510, 289, 726, 5957, 282, 3781, 272, 2178, 262, 9528, 5487, 10621, 722, 30841, 18, 996, 16, 334, 8954, 45400, 13224, 435, 20609, 8641, 16051, 290, 587, 3685, 944, 3960, 28240, 36114, 16, 3012, 11100, 2898, 668, 4371, 27252, 3849, 3707, 16, 289, 16, 2454, 274, 15400, 14781, 16, 25775, 16, 374, 22186, 1305, 1623, 6118, 768, 2275, 18, 415, 14123, 617, 4760, 48863, 1314, 5702, 687, 48187, 510, 334, 5833, 3538, 16, 282, 16248, 697, 7614, 17858, 322, 13202, 4110, 18, 832, 20846, 16, 374, 1976, 3407, 5825, 510, 322, 374, 13895, 16, 428, 1934, 3050, 478, 487, 343, 470, 360, 11753, 7620, 33911, 633, 74, 5647, 16, 18090, 26965, 2904, 5792, 360, 24431, 311, 420, 1356, 2259, 25955, 5115, 18, 2, 1, 87, 1456, 81, 2448, 30, 1605, 3646, 17, 2210, 342, 417, 10123, 680, 9358, 4699, 15978, 4855, 21, 6370, 21335, 289, 505, 9128, 8615, 341, 8993, 28384, 334, 6619, 290, 3341, 1165, 26333, 18, 46899, 11285, 20546, 2154, 381, 697, 25873, 424, 32496, 18, 1681, 9444, 5696, 3583, 289, 28557, 7408, 4820, 775, 548, 11451, 11060 ]
[ 887, 3341, 1082, 510, 5703, 382, 281, 10735, 982, 11949, 4869, 898, 31323, 282, 5324, 8802, 11826, 779, 18, 4756, 282, 4301, 15140, 14132, 1101, 36560, 18137, 1033, 1760, 6814, 24490, 563, 7484, 334, 12595, 680, 1767, 18, 31224, 30, 677, 12595, 426, 28384, 11350, 17, 1821, 14969, 9358, 4699, 15978, 4855, 21, 6370, 21335, 289, 505, 9128, 8615, 341, 8993, 18, 1681, 697, 9444, 3168, 7050, 38872, 17, 21, 11451, 11060, 887, 3341, 1876, 18, 1367, 803, 5130, 282, 9907, 33515, 7920, 1175, 18, 478, 19571, 2118, 20546, 2154, 381, 13125, 750, 773, 7272, 32174, 282, 2100, 12851, 424, 32496, 910, 510, 16170, 282, 27246, 18, 1939, 4189, 11826, 779, 10958, 478, 34803, 29765, 470, 6489, 576, 5626, 11949, 427, 3168, 11581, 18061, 50149, 282, 417, 10123, 680, 38872, 17, 21, 18, 640, 5703, 582, 2432, 16655, 4820, 775, 266, 8445, 309, 7985, 5948, 3760, 16, 367, 8811, 20286, 5119, 13144, 6541, 883, 11949, 1867, 505, 8440, 44175, 289, 35406, 334, 24392, 18, 34297, 11034, 38495, 272, 309, 2398, 359, 3794, 5156, 16, 1011, 1660, 492, 16828, 282, 37714, 18, 365, 481, 808, 2393, 45765, 9523, 282, 5939, 289, 38435, 16, 428, 329, 1129, 478, 431, 464, 14704, 2038, 470, 360, 19005, 11949, 427, 3168, 11581, 18, 10618, 38495, 360, 919, 937, 13742, 23424, 5270, 986, 289, 4705, 4776, 334, 35491, 282, 8386, 17, 750, 2246, 2035, 16021, 23292, 289, 46185, 452, 18, 365, 12354, 11826, 779, 492, 4223, 309, 10866, 18, 36538, 783, 16, 309, 1754, 10750, 6025, 3341, 382, 3168, 11581, 16, 22321, 13605, 27095, 32361, 18, 38659, 50149, 27458, 8348, 290, 3341, 1165, 1728, 424, 10336, 434, 282, 37038, 1551, 334, 22591, 1631, 18, 4852, 1293, 2868, 1011, 13453, 5703, 343, 282, 4599, 6814, 12958, 7484, 639, 18966, 11969, 1743, 290, 6245, 8191, 28485, 19750, 18, 10470, 32756, 18700, 1209, 6367, 5626, 18, 23102, 12958, 7484, 35708, 10348, 6728, 8424, 541, 10438, 8640, 8886, 18802, 282, 8635, 6585, 334, 3025, 4008, 18, 365, 11872, 11826, 779, 478, 34803, 9063, 470, 40623, 6584, 5626, 411, 417, 10123, 680, 15978, 18, 640, 1169, 10901, 1453, 13556, 9961, 334, 19834, 38872, 16, 282, 502, 808, 428, 8811, 15978, 279, 884, 467, 697, 16, 35360, 4134, 289, 8440, 375, 1876, 18, 365, 4542, 31858, 1176, 411, 6814, 12958, 7484, 2548, 10656, 16, 374, 14374, 16, 6776, 19285, 697, 3193, 16, 1314, 11156, 4633, 18, 478, 18644, 322, 18991, 722, 19519, 18, 459, 694, 1122, 13619, 13146, 16, 2616, 1381, 16, 279, 875, 285, 390, 910, 510, 3828, 18407, 5703, 343, 18, 365, 4542, 478, 275, 7011, 1004, 5418, 9870, 470, 8811, 1038, 38435, 9704, 26333, 289, 697, 1805, 282, 15978, 18, 472, 23610, 20366, 867, 16, 374, 4820, 775, 712, 35139, 530, 282, 1793, 3675, 5052, 16, 2319, 6230, 349, 2872, 1727, 5985, 17288, 6951, 281, 19122, 4697, 8440, 44175, 282, 4082, 18, 2949, 924, 16, 478, 34803, 9063, 470, 3043, 6915, 36335, 16, 309, 2114, 1176, 411, 26333, 31167, 20906, 17336, 16, 20881, 371, 11949, 763, 282, 15978, 18, 478, 11459, 349, 374, 16, 281, 5774, 434, 2223, 5, 17444, 382, 360, 3590, 16, 1215, 481, 1215, 475, 16, 12338, 360, 3590, 910, 510, 10050, 492, 18, 640, 14515, 8623, 16, 2588, 6489, 576, 10958, 16, 764, 1176, 4820, 775, 266, 16828, 282, 37714, 2654, 567, 808, 33691, 18, 640, 505, 5503, 19286, 11232, 16602, 18, 2112, 13453, 1967, 4974, 639, 18966, 11969, 1743, 510, 505, 37635, 3457, 282, 2361, 8357, 281, 8344, 18061, 50149, 18, 365, 4542, 14160, 898, 39895, 1760, 6814, 24490, 563, 7484, 334, 12595, 680, 1767, 18, 7758, 281, 4189, 11826, 779, 29550, 1082, 639, 18966, 1033, 1939, 36156, 1552, 334, 13229, 49606, 8886, 15286, 3402, 294, 417, 10123, 1703, 3168, 10493, 18, 20099, 6897, 4551, 18182, 43503, 8802, 11826, 779, 9321, 290, 5941, 31921, 1519, 6138, 13144, 6541, 883, 18, 14998, 9058, 2231, 2800, 347, 11792, 16, 374, 411, 5781, 8635, 883, 2628, 3118, 411, 9732, 30534, 18, 824, 722, 4734, 16, 2048, 481, 8350, 46332, 1357, 9326, 10107, 26333, 281, 42946, 697, 6981, 7011, 39898, 289, 10600, 1640, 18, 43503, 1038, 2394, 1909, 8522, 6347, 1086, 3341, 382, 282, 417, 10123, 680, 15978, 18, 478, 1358, 9763, 16, 374, 2993, 953, 34377, 3240, 22940, 14781, 289, 4289, 10735, 485, 15857, 2714, 1007, 294, 2184, 41705, 280, 2078, 16, 961, 16, 19482, 371, 17979, 16, 20800, 1190, 2174, 13344, 355, 2284, 16, 575, 462, 3181, 2284, 12006, 835, 1631, 910, 510, 27250, 678, 18, 1939, 3972, 6705, 309, 16544, 416, 3781, 17, 19858, 4770, 1175, 4137, 6732, 35447, 290, 24829, 40032, 8886, 18802, 477, 1963, 6814, 12958, 7484, 18, 478, 37653, 839, 8739, 5738, 16, 867, 1033, 3341, 382, 510, 481, 17201, 18, 4794, 35044, 16, 870, 8150, 2125, 953, 6541, 318, 910, 510, 2815, 492, 18, 9668, 4000, 13744, 16, 374, 282, 2407, 19003, 8424, 16, 18763, 448, 15807, 9099, 4096, 18, 478, 44087, 5069, 3194, 2089, 6138, 2994, 23666, 2166, 6541, 883, 65, 289, 1513, 43830, 5040, 18868, 8390, 16, 1215, 281, 2184, 417, 12557, 3118, 910, 510, 18789, 6732, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 2565, 1808, 14687, 548, 349, 36309, 3968, 3675, 289, 42525, 32254, 282, 3507, 18, 24243, 16, 18429, 25255, 30, 12412, 14828, 294, 14077, 5855, 35523, 289, 282, 13673, 4701, 322, 10585, 484, 3230, 4668, 28, 5448, 563, 18, 403, 2856, 3116, 1886, 11047, 879, 9839, 17, 14099, 451, 6978, 16, 5070, 549, 1137, 5090, 16, 3716, 16575, 448, 34049, 289, 2849, 11397, 34905, 29159, 382, 18, 31224, 30, 677, 10882, 16, 3436, 3990, 16, 22961, 14145, 47706, 3655, 12370, 2110, 3885, 16, 6230, 349, 3279, 281, 9839, 17, 14099, 536, 289, 4650, 536, 21706, 473, 660, 1409, 308, 19, 267, 13, 17406, 847, 18817, 3545, 18, 817, 9449, 9056, 7636, 341, 17187, 24102, 27282, 30, 519, 376, 23, 655, 15, 22, 5448, 563, 5426, 289, 519, 4668, 23, 655, 15, 28, 5448, 563, 7760, 18, 985, 6442, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 470, 1624, 5426, 840, 5416, 16, 7760, 6017, 10416, 1578, 19107, 16, 18222, 13768, 34049, 18, 10655, 4133, 2549, 451, 4328, 2961, 11465, 16, 39271, 6322, 941, 266, 18, 422, 18, 7106, 16, 374, 282, 10882, 8486, 21694, 48911, 15623, 16, 1029, 34386, 1421, 2299, 18, 19012, 16, 49233, 1754, 2955, 7818, 1763 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 887, 3341, 1082, 510, 5703, 382, 281, 10735, 982, 11949, 4869, 898, 31323, 282, 5324, 8802, 11826, 779, 18, 4756, 282, 4301, 15140, 14132, 1101, 36560, 18137, 1033, 1760, 6814, 24490, 563, 7484, 334, 12595, 680, 1767, 18, 31224, 30, 677, 12595, 426, 28384, 11350, 17, 1821, 14969, 9358, 4699, 15978, 4855, 21, 6370, 21335, 289, 505, 9128, 8615, 341, 8993, 18, 1681, 697, 9444, 3168, 7050, 38872, 17, 21, 11451, 11060, 887, 3341, 1876, 18, 1367, 803, 5130, 282, 9907, 33515, 7920, 1175, 18, 478, 19571, 2118, 20546, 2154, 381, 13125, 750, 773, 7272, 32174, 282, 2100, 12851, 424, 32496, 910, 510, 16170, 282, 27246, 18, 1939, 4189, 11826, 779, 10958, 478, 34803, 29765, 470, 6489, 576, 5626, 11949, 427, 3168, 11581, 18061, 50149, 282, 417, 10123, 680, 38872, 17, 21, 18, 640, 5703, 582, 2432, 16655, 4820, 775, 266, 8445, 309, 7985, 5948, 3760, 16, 367, 8811, 20286, 5119, 13144, 6541, 883, 11949, 1867, 505, 8440, 44175, 289, 35406, 334, 24392, 18, 34297, 11034, 38495, 272, 309, 2398, 359, 3794, 5156, 16, 1011, 1660, 492, 16828, 282, 37714, 18, 365, 481, 808, 2393, 45765, 9523, 282, 5939, 289, 38435, 16, 428, 329, 1129, 478, 431, 464, 14704, 2038, 470, 360, 19005, 11949, 427, 3168, 11581, 18, 10618, 38495, 360, 919, 937, 13742, 23424, 5270, 986, 289, 4705, 4776, 334, 35491, 282, 8386, 17, 750, 2246, 2035, 16021, 23292, 289, 46185, 452, 18, 365, 12354, 11826, 779, 492, 4223, 309, 10866, 18, 36538, 783, 16, 309, 1754, 10750, 6025, 3341, 382, 3168, 11581, 16, 22321, 13605, 27095, 32361, 18, 38659, 50149, 27458, 8348, 290, 3341, 1165, 1728, 424, 10336, 434, 282, 37038, 1551, 334, 22591, 1631, 18, 4852, 1293, 2868, 1011, 13453, 5703, 343, 282, 4599, 6814, 12958, 7484, 639, 18966, 11969, 1743, 290, 6245, 8191, 28485, 19750, 18, 10470, 32756, 18700, 1209, 6367, 5626, 18, 23102, 12958, 7484, 35708, 10348, 6728, 8424, 541, 10438, 8640, 8886, 18802, 282, 8635, 6585, 334, 3025, 4008, 18, 365, 11872, 11826, 779, 478, 34803, 9063, 470, 40623, 6584, 5626, 411, 417, 10123, 680, 15978, 18, 640, 1169, 10901, 1453, 13556, 9961, 334, 19834, 38872, 16, 282, 502, 808, 428, 8811, 15978, 279, 884, 467, 697, 16, 35360, 4134, 289, 8440, 375, 1876, 18, 365, 4542, 31858, 1176, 411, 6814, 12958, 7484, 2548, 10656, 16, 374, 14374, 16, 6776, 19285, 697, 3193, 16, 1314, 11156, 4633, 18, 478, 18644, 322, 18991, 722, 19519, 18, 459, 694, 1122, 13619, 13146, 16, 2616, 1381, 16, 279, 875, 285, 390, 910, 510, 3828, 18407, 5703, 343, 18, 365, 4542, 478, 275, 7011, 1004, 5418, 9870, 470, 8811, 1038, 38435, 9704, 26333, 289, 697, 1805, 282, 15978, 18, 472, 23610, 20366, 867, 16, 374, 4820, 775, 712, 35139, 530, 282, 1793, 3675, 5052, 16, 2319, 6230, 349, 2872, 1727, 5985, 17288, 6951, 281, 19122, 4697, 8440, 44175, 282, 4082, 18, 2949, 924, 16, 478, 34803, 9063, 470, 3043, 6915, 36335, 16, 309, 2114, 1176, 411, 26333, 31167, 20906, 17336, 16, 20881, 371, 11949, 763, 282, 15978, 18, 478, 11459, 349, 374, 16, 281, 5774, 434, 2223, 5, 17444, 382, 360, 3590, 16, 1215, 481, 1215, 475, 16, 12338, 360, 3590, 910, 510, 10050, 492, 18, 640, 14515, 8623, 16, 2588, 6489, 576, 10958, 16, 764, 1176, 4820, 775, 266, 16828, 282, 37714, 2654, 567, 808, 33691, 18, 640, 505, 5503, 19286, 11232, 16602, 18, 2112, 13453, 1967, 4974, 639, 18966, 11969, 1743, 510, 505, 37635, 3457, 282, 2361, 8357, 281, 8344, 18061, 50149, 18, 365, 4542, 14160, 898, 39895, 1760, 6814, 24490, 563, 7484, 334, 12595, 680, 1767, 18, 7758, 281, 4189, 11826, 779, 29550, 1082, 639, 18966, 1033, 1939, 36156, 1552, 334, 13229, 49606, 8886, 15286, 3402, 294, 417, 10123, 1703, 3168, 10493, 18, 20099, 6897, 4551, 18182, 43503, 8802, 11826, 779, 9321, 290, 5941, 31921, 1519, 6138, 13144, 6541, 883, 18, 14998, 9058, 2231, 2800, 347, 11792, 16, 374, 411, 5781, 8635, 883, 2628, 3118, 411, 9732, 30534, 18, 824, 722, 4734, 16, 2048, 481, 8350, 46332, 1357, 9326, 10107, 26333, 281, 42946, 697, 6981, 7011, 39898, 289, 10600, 1640, 18, 43503, 1038, 2394, 1909, 8522, 6347, 1086, 3341, 382, 282, 417, 10123, 680, 15978, 18, 478, 1358, 9763, 16, 374, 2993, 953, 34377, 3240, 22940, 14781, 289, 4289, 10735, 485, 15857, 2714, 1007, 294, 2184, 41705, 280, 2078, 16, 961, 16, 19482, 371, 17979, 16, 20800, 1190, 2174, 13344, 355, 2284, 16, 575, 462, 3181, 2284, 12006, 835, 1631, 910, 510, 27250, 678, 18, 1939, 3972, 6705, 309, 16544, 416, 3781, 17, 19858, 4770, 1175, 4137, 6732, 35447, 290, 24829, 40032, 8886, 18802, 477, 1963, 6814, 12958, 7484, 18, 478, 37653, 839, 8739, 5738, 16, 867, 1033, 3341, 382, 510, 481, 17201, 18, 4794, 35044, 16, 870, 8150, 2125, 953, 6541, 318, 910, 510, 2815, 492, 18, 9668, 4000, 13744, 16, 374, 282, 2407, 19003, 8424, 16, 18763, 448, 15807, 9099, 4096, 18, 478, 44087, 5069, 3194, 2089, 6138, 2994, 23666, 2166, 6541, 883, 65, 289, 1513, 43830, 5040, 18868, 8390, 16, 1215, 281, 2184, 417, 12557, 3118, 910, 510, 18789, 6732, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 2565, 1808, 14687, 548, 349, 36309, 3968, 3675, 289, 42525, 32254, 282, 3507, 18, 24243, 16, 18429, 25255, 30, 12412, 14828, 294, 14077, 5855, 35523, 289, 282, 13673, 4701, 322, 10585, 484, 3230, 4668, 28, 5448, 563, 18, 403, 2856, 3116, 1886, 11047, 879, 9839, 17, 14099, 451, 6978, 16, 5070, 549, 1137, 5090, 16, 3716, 16575, 448, 34049, 289, 2849, 11397, 34905, 29159, 382, 18, 31224, 30, 677, 10882, 16, 3436, 3990, 16, 22961, 14145, 47706, 3655, 12370, 2110, 3885, 16, 6230, 349, 3279, 281, 9839, 17, 14099, 536, 289, 4650, 536, 21706, 473, 660, 1409, 308, 19, 267, 13, 17406, 847, 18817, 3545, 18, 817, 9449, 9056, 7636, 341, 17187, 24102, 27282, 30, 519, 376, 23, 655, 15, 22, 5448, 563, 5426, 289, 519, 4668, 23, 655, 15, 28, 5448, 563, 7760, 18, 985, 6442, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 470, 1624, 5426, 840, 5416, 16, 7760, 6017, 10416, 1578, 19107, 16, 18222, 13768, 34049, 18, 10655, 4133, 2549, 451, 4328, 2961, 11465, 16, 39271, 6322, 941, 266, 18, 422, 18, 7106, 16, 374, 282, 10882, 8486, 21694, 48911, 15623, 16, 1029, 34386, 1421, 2299, 18, 19012, 16, 49233, 1754, 2955, 7818, 1763 ]
[ 34959, 1090, 416, 16, 3215, 13167, 324, 16, 515, 656, 2172, 7790, 14662, 19058, 506, 309, 14597, 478, 789, 1486, 3384, 4308, 1162, 470, 282, 478, 780, 4172, 452, 861, 24321, 309, 15623, 27263, 18, 3436, 3990, 473, 35110, 16, 10480, 16, 567, 3176, 13, 1122, 29865, 5930, 454, 478, 24686, 314, 363, 17, 12195, 288, 470, 334, 4460, 6710, 28723, 4603, 401, 16, 367, 282, 1939, 18, 3161, 43957, 5901, 32030, 10137, 35020, 15604, 1187, 464, 18, 1598, 3322, 20063, 6059, 6740, 2299, 16652, 510, 4308, 17, 24285, 334, 25416, 13770, 9506, 432, 11861, 16, 282, 970, 2875, 541, 1810, 281, 4481, 536, 16463, 304, 289, 15974, 3182, 5169, 16, 6287, 282, 2261, 18, 646, 18, 4016, 3990, 281, 1533, 18, 3161, 519, 1912, 18, 646, 2552, 17928, 3919, 2154, 965, 385, 25805, 1620, 304, 450, 414, 309, 4308, 17, 16024, 409, 478, 44511, 3228, 12472, 298, 12252, 2160, 4148, 2857, 861, 439, 281, 2261, 18, 3114, 1122, 8192, 4308, 17, 24285, 334, 3170, 2509, 8968, 1876, 4466, 309, 5335, 416, 25519, 18, 365, 6099, 360, 5984, 4999, 34782, 4115, 927, 2533, 670, 16, 7415, 16, 47581, 697, 282, 481, 808, 360, 15722, 11735, 18, 365, 2615, 1119, 27766, 40340, 16475, 346, 7097, 2518, 847, 16, 289, 36940, 16, 2706, 3990, 16, 895, 1852, 3818, 24014, 7760, 5576, 18, 36748, 7097, 5426, 376, 25, 655, 20, 5448, 563, 16, 6177, 5426, 289, 45328, 5413, 29865, 8889, 289, 774, 303, 1383, 1159, 18, 25740, 2239, 655, 15, 25, 5448, 563, 16, 17119, 37649, 451, 11511, 289, 16, 2628, 16, 42407, 8889, 18, 15970, 17, 14099, 451, 6978, 289, 475, 764, 16907, 539, 473, 27, 6837, 6322, 941, 266, 18, 422, 3406, 11440, 16, 3848, 1223, 16, 334, 643, 1083, 530, 5977, 6863, 411, 1642, 18, 740, 374, 373, 387, 537, 4382, 414, 309, 11877, 16, 4410, 481, 840, 9823, 10392, 3328, 510, 478, 1659, 562, 9576, 470, 428, 17, 26707, 18, 1937, 16, 428, 322, 282, 1177, 1119, 16, 5221, 309, 45337, 16373, 30352, 16, 19378, 19904, 5274, 23392, 16, 11552, 780, 289, 764, 2364, 14953, 661, 7492, 541, 4534, 12424, 35, 2949, 924, 16, 20988, 8720, 3836, 475, 870, 3180, 25536, 349, 13607, 21332, 3353, 1645, 18, 439, 827, 23304, 31451, 289, 16, 374, 322, 2619, 4748, 16, 32783, 309, 3614, 16572, 478, 780, 2774, 263, 356, 910, 502, 281, 36460, 942, 23921, 309, 3640, 12832, 478, 28977, 286, 3675, 16569, 9476, 861, 889, 3191, 18054, 15619, 289, 6197, 4308, 17, 24285, 334, 41166, 1147, 7270, 392, 16, 515, 505, 3147, 942, 25597, 428, 2395, 539, 358, 405, 17, 8108, 17, 513, 345, 282, 5214, 2001, 18, 365, 11084, 16, 4016, 3990, 16, 14394, 30880, 19988, 6327, 267, 2063, 16, 12412, 8633, 48074, 294, 14077, 5855, 35523, 18, 740, 334, 7168, 726, 21928, 2516, 6279, 1664, 496, 35556, 481, 12688, 18, 27247, 510, 453, 1965, 3846, 16, 376, 26, 655, 17, 21, 5448, 563, 16, 7760, 6364, 1924, 4668, 21, 655, 15, 26, 5448, 563, 18, 35919, 6978, 5426, 16, 4650, 451, 7760, 16, 519, 1409, 308, 19, 267, 18, 981, 25062, 3230, 14471, 16, 39271, 6322, 941, 266, 18, 422, 18, 1178, 1142, 927, 18126, 282, 1177, 1119, 309, 8406, 16, 3744, 11948, 16, 374, 309, 46738, 13157, 33546, 1602, 17, 26157, 313, 680, 5625, 16, 281, 478, 21286, 16107, 680, 470, 334, 478, 6889, 15151, 17228, 910, 519, 4079, 42852, 14994, 8705, 322, 1747, 282, 2630, 281, 9818, 4118, 16490, 18, 365, 3998, 4676, 5576, 3187, 2234, 5549, 1874, 45882, 19107, 4939, 18325, 4477, 1822, 6507, 18457, 15969, 16, 1586, 24859, 281, 1807, 34049, 289, 3329, 5552, 6531, 18, 365, 10666, 16, 4055, 3990, 16, 1137, 695, 16, 5426, 17119, 13768, 14734, 382, 510, 9956, 334, 22574, 376, 23, 655, 15, 22, 5448, 563, 16, 481, 895, 953, 289, 42407, 8889, 18, 25740, 7614, 802, 13768, 34049, 16, 4668, 23, 655, 15, 28, 5448, 563, 18, 23544, 5426, 4650, 451, 16, 816, 443, 28, 308, 19, 267, 16, 7760, 492, 8018, 266, 10895, 309, 9265, 17, 14099, 539, 289, 4783, 1463, 519, 1533, 308, 19, 267, 18, 981, 25062, 40276, 1833, 309, 4705, 12153, 289, 14481, 1409, 5041, 6322, 941, 266, 18, 422, 18, 1591, 12241, 16, 4039, 3990, 16, 5343, 12146, 726, 282, 40883, 34033, 4477, 1822, 6507, 10435, 16, 374, 12514, 22961, 282, 9804, 30743, 24261, 18, 34850, 6173, 16, 12417, 3847, 3964, 38039, 322, 2353, 18, 17942, 695, 16, 37649, 448, 6958, 1924, 14734, 382, 16, 282, 8785, 448, 7258, 14612, 282, 2100, 16682, 16, 5426, 3226, 28648, 42407, 8889, 18, 36748, 7097, 282, 32157, 808, 9909, 376, 21, 655, 15, 24, 5448, 563, 16, 367, 38940, 4668, 23, 655, 15, 28, 5448, 563, 18, 23544, 4650, 451, 16, 1032, 443, 29, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 22898, 16, 1409, 8081, 6322, 941, 266, 18, 422, 18, 365, 9937, 44354, 9713, 282, 4275, 412, 5855, 4096, 322, 14864, 16, 367, 2862, 16, 289, 21002, 47412, 8468, 5837, 322, 2353, 18, 4518, 3990, 19988, 22794, 3228, 1137, 1941, 24628, 16, 31559, 13768, 14734, 382, 16, 697, 7970, 21801, 656, 726, 10469, 21790, 349, 30326, 4701, 289, 5963, 18, 36748, 7097, 5426, 376, 25, 655, 20, 5448, 563, 16, 7760, 376, 21, 655, 15, 24, 5448, 563, 18, 23544, 5426, 4650, 451, 16, 1032, 443, 29, 308, 19, 267, 16, 7760, 9839, 17, 14099, 451, 16, 1061, 443, 2479, 308, 19, 267, 18, 20466, 16, 374, 282, 1574, 37320, 49163, 1119, 29740, 16, 510, 481, 11440, 16, 6330, 18869, 16721, 294, 35209, 44715, 30, 1409, 9869, 6322, 941, 266, 18, 422, 18, 365, 11946, 16, 2555, 3990, 16, 6448, 735, 7216, 334, 1033, 1382, 13402, 3700, 277, 14630, 5791, 18457, 2221, 32033, 46211, 12703, 18081, 39193, 5791, 289, 8714, 16194, 37595, 309, 19663, 18, 17942, 695, 16, 281, 20085, 39369, 16, 17119, 37649, 448, 14734, 382, 510, 11511, 16, 8889, 16, 1215, 481, 1215, 475, 18, 36748, 7097, 5426, 376, 25, 655, 20, 5448, 563, 16, 7760, 376, 22, 655, 15, 23, 5448, 563, 18, 832, 502, 753, 28802, 17, 40775, 17, 40775, 16, 515, 428, 17, 299, 935, 7501, 34280, 16, 367, 4927, 520, 3508, 32022, 1086, 4099, 3675, 25123, 519, 4120, 18, 23544, 19215, 23523, 16, 816, 443, 28, 308, 19, 267, 18, 981, 25062, 2500, 3230, 14471 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34959, 1090, 416, 16, 3215, 13167, 324, 16, 515, 656, 2172, 7790, 14662, 19058, 506, 309, 14597, 478, 789, 1486, 3384, 4308, 1162, 470, 282, 478, 780, 4172, 452, 861, 24321, 309, 15623, 27263, 18, 3436, 3990, 473, 35110, 16, 10480, 16, 567, 3176, 13, 1122, 29865, 5930, 454, 478, 24686, 314, 363, 17, 12195, 288, 470, 334, 4460, 6710, 28723, 4603, 401, 16, 367, 282, 1939, 18, 3161, 43957, 5901, 32030, 10137, 35020, 15604, 1187, 464, 18, 1598, 3322, 20063, 6059, 6740, 2299, 16652, 510, 4308, 17, 24285, 334, 25416, 13770, 9506, 432, 11861, 16, 282, 970, 2875, 541, 1810, 281, 4481, 536, 16463, 304, 289, 15974, 3182, 5169, 16, 6287, 282, 2261, 18, 646, 18, 4016, 3990, 281, 1533, 18, 3161, 519, 1912, 18, 646, 2552, 17928, 3919, 2154, 965, 385, 25805, 1620, 304, 450, 414, 309, 4308, 17, 16024, 409, 478, 44511, 3228, 12472, 298, 12252, 2160, 4148, 2857, 861, 439, 281, 2261, 18, 3114, 1122, 8192, 4308, 17, 24285, 334, 3170, 2509, 8968, 1876, 4466, 309, 5335, 416, 25519, 18, 365, 6099, 360, 5984, 4999, 34782, 4115, 927, 2533, 670, 16, 7415, 16, 47581, 697, 282, 481, 808, 360, 15722, 11735, 18, 365, 2615, 1119, 27766, 40340, 16475, 346, 7097, 2518, 847, 16, 289, 36940, 16, 2706, 3990, 16, 895, 1852, 3818, 24014, 7760, 5576, 18, 36748, 7097, 5426, 376, 25, 655, 20, 5448, 563, 16, 6177, 5426, 289, 45328, 5413, 29865, 8889, 289, 774, 303, 1383, 1159, 18, 25740, 2239, 655, 15, 25, 5448, 563, 16, 17119, 37649, 451, 11511, 289, 16, 2628, 16, 42407, 8889, 18, 15970, 17, 14099, 451, 6978, 289, 475, 764, 16907, 539, 473, 27, 6837, 6322, 941, 266, 18, 422, 3406, 11440, 16, 3848, 1223, 16, 334, 643, 1083, 530, 5977, 6863, 411, 1642, 18, 740, 374, 373, 387, 537, 4382, 414, 309, 11877, 16, 4410, 481, 840, 9823, 10392, 3328, 510, 478, 1659, 562, 9576, 470, 428, 17, 26707, 18, 1937, 16, 428, 322, 282, 1177, 1119, 16, 5221, 309, 45337, 16373, 30352, 16, 19378, 19904, 5274, 23392, 16, 11552, 780, 289, 764, 2364, 14953, 661, 7492, 541, 4534, 12424, 35, 2949, 924, 16, 20988, 8720, 3836, 475, 870, 3180, 25536, 349, 13607, 21332, 3353, 1645, 18, 439, 827, 23304, 31451, 289, 16, 374, 322, 2619, 4748, 16, 32783, 309, 3614, 16572, 478, 780, 2774, 263, 356, 910, 502, 281, 36460, 942, 23921, 309, 3640, 12832, 478, 28977, 286, 3675, 16569, 9476, 861, 889, 3191, 18054, 15619, 289, 6197, 4308, 17, 24285, 334, 41166, 1147, 7270, 392, 16, 515, 505, 3147, 942, 25597, 428, 2395, 539, 358, 405, 17, 8108, 17, 513, 345, 282, 5214, 2001, 18, 365, 11084, 16, 4016, 3990, 16, 14394, 30880, 19988, 6327, 267, 2063, 16, 12412, 8633, 48074, 294, 14077, 5855, 35523, 18, 740, 334, 7168, 726, 21928, 2516, 6279, 1664, 496, 35556, 481, 12688, 18, 27247, 510, 453, 1965, 3846, 16, 376, 26, 655, 17, 21, 5448, 563, 16, 7760, 6364, 1924, 4668, 21, 655, 15, 26, 5448, 563, 18, 35919, 6978, 5426, 16, 4650, 451, 7760, 16, 519, 1409, 308, 19, 267, 18, 981, 25062, 3230, 14471, 16, 39271, 6322, 941, 266, 18, 422, 18, 1178, 1142, 927, 18126, 282, 1177, 1119, 309, 8406, 16, 3744, 11948, 16, 374, 309, 46738, 13157, 33546, 1602, 17, 26157, 313, 680, 5625, 16, 281, 478, 21286, 16107, 680, 470, 334, 478, 6889, 15151, 17228, 910, 519, 4079, 42852, 14994, 8705, 322, 1747, 282, 2630, 281, 9818, 4118, 16490, 18, 365, 3998, 4676, 5576, 3187, 2234, 5549, 1874, 45882, 19107, 4939, 18325, 4477, 1822, 6507, 18457, 15969, 16, 1586, 24859, 281, 1807, 34049, 289, 3329, 5552, 6531, 18, 365, 10666, 16, 4055, 3990, 16, 1137, 695, 16, 5426, 17119, 13768, 14734, 382, 510, 9956, 334, 22574, 376, 23, 655, 15, 22, 5448, 563, 16, 481, 895, 953, 289, 42407, 8889, 18, 25740, 7614, 802, 13768, 34049, 16, 4668, 23, 655, 15, 28, 5448, 563, 18, 23544, 5426, 4650, 451, 16, 816, 443, 28, 308, 19, 267, 16, 7760, 492, 8018, 266, 10895, 309, 9265, 17, 14099, 539, 289, 4783, 1463, 519, 1533, 308, 19, 267, 18, 981, 25062, 40276, 1833, 309, 4705, 12153, 289, 14481, 1409, 5041, 6322, 941, 266, 18, 422, 18, 1591, 12241, 16, 4039, 3990, 16, 5343, 12146, 726, 282, 40883, 34033, 4477, 1822, 6507, 10435, 16, 374, 12514, 22961, 282, 9804, 30743, 24261, 18, 34850, 6173, 16, 12417, 3847, 3964, 38039, 322, 2353, 18, 17942, 695, 16, 37649, 448, 6958, 1924, 14734, 382, 16, 282, 8785, 448, 7258, 14612, 282, 2100, 16682, 16, 5426, 3226, 28648, 42407, 8889, 18, 36748, 7097, 282, 32157, 808, 9909, 376, 21, 655, 15, 24, 5448, 563, 16, 367, 38940, 4668, 23, 655, 15, 28, 5448, 563, 18, 23544, 4650, 451, 16, 1032, 443, 29, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 22898, 16, 1409, 8081, 6322, 941, 266, 18, 422, 18, 365, 9937, 44354, 9713, 282, 4275, 412, 5855, 4096, 322, 14864, 16, 367, 2862, 16, 289, 21002, 47412, 8468, 5837, 322, 2353, 18, 4518, 3990, 19988, 22794, 3228, 1137, 1941, 24628, 16, 31559, 13768, 14734, 382, 16, 697, 7970, 21801, 656, 726, 10469, 21790, 349, 30326, 4701, 289, 5963, 18, 36748, 7097, 5426, 376, 25, 655, 20, 5448, 563, 16, 7760, 376, 21, 655, 15, 24, 5448, 563, 18, 23544, 5426, 4650, 451, 16, 1032, 443, 29, 308, 19, 267, 16, 7760, 9839, 17, 14099, 451, 16, 1061, 443, 2479, 308, 19, 267, 18, 20466, 16, 374, 282, 1574, 37320, 49163, 1119, 29740, 16, 510, 481, 11440, 16, 6330, 18869, 16721, 294, 35209, 44715, 30, 1409, 9869, 6322, 941, 266, 18, 422, 18, 365, 11946, 16, 2555, 3990, 16, 6448, 735, 7216, 334, 1033, 1382, 13402, 3700, 277, 14630, 5791, 18457, 2221, 32033, 46211, 12703, 18081, 39193, 5791, 289, 8714, 16194, 37595, 309, 19663, 18, 17942, 695, 16, 281, 20085, 39369, 16, 17119, 37649, 448, 14734, 382, 510, 11511, 16, 8889, 16, 1215, 481, 1215, 475, 18, 36748, 7097, 5426, 376, 25, 655, 20, 5448, 563, 16, 7760, 376, 22, 655, 15, 23, 5448, 563, 18, 832, 502, 753, 28802, 17, 40775, 17, 40775, 16, 515, 428, 17, 299, 935, 7501, 34280, 16, 367, 4927, 520, 3508, 32022, 1086, 4099, 3675, 25123, 519, 4120, 18, 23544, 19215, 23523, 16, 816, 443, 28, 308, 19, 267, 18, 981, 25062, 2500, 3230, 14471 ]
[ 16, 1409, 6837, 6322, 941, 266, 18, 422, 18, 365, 4722, 15029, 1119, 3187, 2234, 5549, 726, 12146, 309, 13078, 14955, 2156, 32719, 1081, 309, 14146, 20144, 2923, 1175, 18457, 15969, 289, 3806, 11972, 15969, 281, 36903, 18, 889, 36441, 31211, 341, 14394, 30880, 16, 515, 282, 21535, 547, 8011, 44354, 9713, 322, 14864, 18, 8033, 16, 282, 10882, 16, 5741, 3990, 16, 1137, 695, 16, 7760, 281, 20085, 39369, 16, 17119, 27376, 37649, 448, 13768, 14734, 382, 18, 36748, 7097, 5426, 376, 26, 655, 17, 21, 5448, 563, 16, 7760, 2239, 655, 15, 25, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 816, 443, 28, 308, 19, 267, 18, 981, 25062, 20688, 16, 10952, 22, 6322, 941, 266, 18, 422, 18, 9993, 16, 15417, 3320, 21454, 4202, 726, 5354, 20877, 290, 1196, 1165, 282, 2630, 281, 36933, 581, 2514, 8900, 289, 12793, 21947, 17421, 16, 515, 374, 17, 299, 44336, 16, 374, 18090, 38267, 349, 1332, 840, 2500, 18, 3557, 322, 2619, 10287, 448, 478, 793, 315, 2497, 470, 4947, 2388, 30, 42715, 523, 1880, 11427, 16, 11427, 5691, 16138, 264, 1356, 16, 3918, 552, 399, 5030, 1880, 11427, 16, 19441, 24911, 549, 14655, 16, 21364, 778, 289, 421, 22187, 2440, 778, 14188, 548, 16, 43561, 1880, 11427, 18, 2949, 924, 16, 11524, 2166, 334, 2845, 26935, 5475, 7614, 802, 309, 6438, 1212, 29176, 289, 11690, 1212, 11427, 334, 19694, 282, 6391, 16, 30929, 292, 281, 5746, 1275, 770, 14627, 1476, 16, 457, 42849, 289, 37061, 18, 1937, 17395, 11255, 280, 847, 16, 2172, 7790, 387, 18282, 282, 4722, 15029, 1119, 1011, 3405, 18, 646, 2988, 282, 11877, 519, 1488, 18, 3161, 670, 1011, 36460, 18, 365, 11877, 16, 430, 4238, 16, 3806, 11972, 2221, 4783, 266, 2159, 7957, 282, 3187, 4267, 9804, 16, 515, 9839, 17, 14099, 451, 6978, 473, 660, 1488, 308, 19, 267, 13, 17670, 341, 360, 26754, 7019, 21535, 448, 16174, 18, 27247, 334, 17, 6093, 29159, 382, 16, 376, 26, 655, 17, 21, 5448, 563, 16, 7760, 502, 575, 3240, 16, 515, 477, 2584, 11382, 30, 4668, 21, 655, 15, 26, 5448, 563, 18, 10477, 2794, 30880, 322, 19988, 16, 7760, 10802, 549, 1137, 5090, 18, 439, 1215, 411, 17, 431, 13223, 282, 1409, 8042, 6322, 941, 266, 18, 422, 2211, 2628, 16, 13460, 17996, 3158, 1723, 12418, 840, 322, 519, 22873, 18, 365, 11084, 16, 491, 4238, 16, 4004, 24628, 11534, 322, 25190, 16, 515, 282, 8785, 448, 7258, 3545, 2597, 298, 484, 1882, 16, 828, 10552, 18, 6673, 3413, 16, 1542, 28740, 3085, 9496, 18, 3782, 46732, 1137, 5090, 16, 749, 30880, 16, 5426, 376, 25, 655, 20, 5448, 563, 16, 7760, 4668, 23, 655, 15, 28, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 491, 443, 27, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 3226, 28687, 294, 3343, 9885, 16, 1409, 8725, 6322, 941, 266, 18, 422, 18, 2, 1, 87, 1456, 81, 2448, 30, 4580, 8938, 876, 3050, 16329, 343, 16, 37480, 18642, 13368, 289, 46566, 15590, 2873, 23995, 396, 12998, 16, 1586, 1046, 5779, 334, 16116, 510, 378, 555, 1484, 274, 13282, 478, 1369, 2004, 382, 470, 289, 26967, 5251, 20994, 25193, 8900, 11338, 478, 27874, 18, 15847, 861, 31224, 30, 11227, 30555, 47021, 7475, 11338, 478, 27874, 470, 3455, 282, 17907, 1623, 14157, 19534, 29788, 290, 1190, 18, 3575, 2552, 5415, 11698, 19274, 9314, 309, 1047, 1693, 1330, 282, 21743, 1333, 510, 4106, 17, 299, 15486, 16, 428, 450, 1153, 30241, 293, 1161, 1624, 18603, 309, 478, 13762, 45836, 468, 910, 1085, 17, 299, 1139, 13309, 281, 10366, 2389, 18, 439, 1215, 294, 8568, 19305, 8426, 47782, 1624, 1586, 282, 5271, 4966, 12874, 276, 504, 1154, 324, 32268, 519, 21451, 35743, 8900, 16, 282, 803, 1045, 20330, 345, 6406, 282, 3106, 27470, 510, 722, 6793, 478, 682, 306, 470, 1559, 25406, 18112, 10801, 4317, 17, 361, 14630, 40935, 13786, 18, 1787, 10867, 13752, 16023, 478, 21837, 4654, 470, 9099, 3819, 1443, 510, 1743, 6152, 20721, 346, 9190, 18, 439, 541, 1110, 16, 1085, 6382, 1248, 949, 299, 478, 5286, 293, 770, 30970, 9174, 470, 25193, 8900, 11338, 478, 27874, 18, 15847, 910, 1314, 10095, 16213, 1623, 28518, 282, 10434, 1011, 40945, 31416, 1949, 30386, 510, 478, 1369, 2004, 523, 470, 289, 478, 40450, 307, 309, 10212, 861, 7106, 16, 374, 334, 14857, 10801, 16, 282, 478, 1369, 2004, 1165, 470, 12871, 7032, 4966, 34209, 309, 2852, 4070, 508, 16, 411, 1639, 38331, 510, 1011, 13144, 360, 2627, 2439, 9104, 9872, 510, 30452, 2616, 17, 299, 2236, 16, 971, 1542, 2845, 24442, 35479, 8735, 477, 478, 5286, 293, 770, 470, 510, 289, 697, 3400, 473, 1369, 12885, 475, 924, 575, 42398, 13, 5009, 3935, 519, 1949, 16, 961, 289, 10191, 5251, 414, 5364, 18, 12467, 8332, 9208, 9718, 467, 22386, 282, 478, 822, 1724, 2116, 547, 10649, 910, 289, 1085, 17, 299, 1176, 411, 1129, 1320, 5304, 8662, 282, 23356, 18, 1591, 7422, 39286, 478, 1369, 2004, 523, 470, 10372, 1270, 3260, 14772, 378, 555, 1484, 274, 18, 1253, 510, 3560, 26713, 16044, 10801, 282, 803, 11258, 31, 378, 555, 1484, 274, 906, 11620, 2409, 4335, 49648, 510, 428, 282, 14866, 16, 453, 289, 567, 47021, 7475, 478, 21837, 4654, 861, 459, 1003, 1329, 31138, 16, 374, 722, 7193, 2734, 1033, 32947, 8087, 16, 828, 4966, 722, 12360, 334, 20719, 4949, 6500, 18, 3923, 16, 14679, 16632, 635, 1336, 942, 7818, 4853, 374, 3495, 1100, 510, 16095, 44995, 20716, 1551, 364, 478, 27874, 18, 15847, 470, 282, 6104, 1045, 289, 16, 3073, 16, 3218, 8649, 8757, 10801, 18, 608, 3495, 1262, 912, 3952, 687, 309, 5629, 304, 478, 27874, 263, 470, 473, 356, 685, 3671, 355, 26123, 8900, 934, 367, 1122, 3149, 294, 15590, 7768, 475, 575, 1293, 2107, 18, 740, 1717, 329, 378, 555, 1484, 265, 16, 9956, 334, 4547, 16, 8849, 28992, 30199, 16, 1754, 678, 289, 11531, 1812, 510, 764, 477, 15470, 770, 18, 999, 347, 1616, 1450, 16, 3754, 16, 3525, 6645, 2358, 502, 16, 374, 46566, 15590, 2873, 23783, 414, 8538, 1717, 294, 1420, 16, 367, 322, 16, 3057, 16, 294, 11047, 825, 45668, 872, 272, 16, 453, 374, 378, 555, 1484, 274, 2669, 3207, 1139, 35730, 18723, 1321, 7694, 1717, 722, 510, 827, 2471, 1413, 25177, 282, 4096, 24786, 18, 608, 3495, 1262, 1574, 653, 553, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 1409, 6837, 6322, 941, 266, 18, 422, 18, 365, 4722, 15029, 1119, 3187, 2234, 5549, 726, 12146, 309, 13078, 14955, 2156, 32719, 1081, 309, 14146, 20144, 2923, 1175, 18457, 15969, 289, 3806, 11972, 15969, 281, 36903, 18, 889, 36441, 31211, 341, 14394, 30880, 16, 515, 282, 21535, 547, 8011, 44354, 9713, 322, 14864, 18, 8033, 16, 282, 10882, 16, 5741, 3990, 16, 1137, 695, 16, 7760, 281, 20085, 39369, 16, 17119, 27376, 37649, 448, 13768, 14734, 382, 18, 36748, 7097, 5426, 376, 26, 655, 17, 21, 5448, 563, 16, 7760, 2239, 655, 15, 25, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 816, 443, 28, 308, 19, 267, 18, 981, 25062, 20688, 16, 10952, 22, 6322, 941, 266, 18, 422, 18, 9993, 16, 15417, 3320, 21454, 4202, 726, 5354, 20877, 290, 1196, 1165, 282, 2630, 281, 36933, 581, 2514, 8900, 289, 12793, 21947, 17421, 16, 515, 374, 17, 299, 44336, 16, 374, 18090, 38267, 349, 1332, 840, 2500, 18, 3557, 322, 2619, 10287, 448, 478, 793, 315, 2497, 470, 4947, 2388, 30, 42715, 523, 1880, 11427, 16, 11427, 5691, 16138, 264, 1356, 16, 3918, 552, 399, 5030, 1880, 11427, 16, 19441, 24911, 549, 14655, 16, 21364, 778, 289, 421, 22187, 2440, 778, 14188, 548, 16, 43561, 1880, 11427, 18, 2949, 924, 16, 11524, 2166, 334, 2845, 26935, 5475, 7614, 802, 309, 6438, 1212, 29176, 289, 11690, 1212, 11427, 334, 19694, 282, 6391, 16, 30929, 292, 281, 5746, 1275, 770, 14627, 1476, 16, 457, 42849, 289, 37061, 18, 1937, 17395, 11255, 280, 847, 16, 2172, 7790, 387, 18282, 282, 4722, 15029, 1119, 1011, 3405, 18, 646, 2988, 282, 11877, 519, 1488, 18, 3161, 670, 1011, 36460, 18, 365, 11877, 16, 430, 4238, 16, 3806, 11972, 2221, 4783, 266, 2159, 7957, 282, 3187, 4267, 9804, 16, 515, 9839, 17, 14099, 451, 6978, 473, 660, 1488, 308, 19, 267, 13, 17670, 341, 360, 26754, 7019, 21535, 448, 16174, 18, 27247, 334, 17, 6093, 29159, 382, 16, 376, 26, 655, 17, 21, 5448, 563, 16, 7760, 502, 575, 3240, 16, 515, 477, 2584, 11382, 30, 4668, 21, 655, 15, 26, 5448, 563, 18, 10477, 2794, 30880, 322, 19988, 16, 7760, 10802, 549, 1137, 5090, 18, 439, 1215, 411, 17, 431, 13223, 282, 1409, 8042, 6322, 941, 266, 18, 422, 2211, 2628, 16, 13460, 17996, 3158, 1723, 12418, 840, 322, 519, 22873, 18, 365, 11084, 16, 491, 4238, 16, 4004, 24628, 11534, 322, 25190, 16, 515, 282, 8785, 448, 7258, 3545, 2597, 298, 484, 1882, 16, 828, 10552, 18, 6673, 3413, 16, 1542, 28740, 3085, 9496, 18, 3782, 46732, 1137, 5090, 16, 749, 30880, 16, 5426, 376, 25, 655, 20, 5448, 563, 16, 7760, 4668, 23, 655, 15, 28, 5448, 563, 18, 23544, 9839, 17, 14099, 451, 16, 491, 443, 27, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 3226, 28687, 294, 3343, 9885, 16, 1409, 8725, 6322, 941, 266, 18, 422, 18, 2, 1, 87, 1456, 81, 2448, 30, 4580, 8938, 876, 3050, 16329, 343, 16, 37480, 18642, 13368, 289, 46566, 15590, 2873, 23995, 396, 12998, 16, 1586, 1046, 5779, 334, 16116, 510, 378, 555, 1484, 274, 13282, 478, 1369, 2004, 382, 470, 289, 26967, 5251, 20994, 25193, 8900, 11338, 478, 27874, 18, 15847, 861, 31224, 30, 11227, 30555, 47021, 7475, 11338, 478, 27874, 470, 3455, 282, 17907, 1623, 14157, 19534, 29788, 290, 1190, 18, 3575, 2552, 5415, 11698, 19274, 9314, 309, 1047, 1693, 1330, 282, 21743, 1333, 510, 4106, 17, 299, 15486, 16, 428, 450, 1153, 30241, 293, 1161, 1624, 18603, 309, 478, 13762, 45836, 468, 910, 1085, 17, 299, 1139, 13309, 281, 10366, 2389, 18, 439, 1215, 294, 8568, 19305, 8426, 47782, 1624, 1586, 282, 5271, 4966, 12874, 276, 504, 1154, 324, 32268, 519, 21451, 35743, 8900, 16, 282, 803, 1045, 20330, 345, 6406, 282, 3106, 27470, 510, 722, 6793, 478, 682, 306, 470, 1559, 25406, 18112, 10801, 4317, 17, 361, 14630, 40935, 13786, 18, 1787, 10867, 13752, 16023, 478, 21837, 4654, 470, 9099, 3819, 1443, 510, 1743, 6152, 20721, 346, 9190, 18, 439, 541, 1110, 16, 1085, 6382, 1248, 949, 299, 478, 5286, 293, 770, 30970, 9174, 470, 25193, 8900, 11338, 478, 27874, 18, 15847, 910, 1314, 10095, 16213, 1623, 28518, 282, 10434, 1011, 40945, 31416, 1949, 30386, 510, 478, 1369, 2004, 523, 470, 289, 478, 40450, 307, 309, 10212, 861, 7106, 16, 374, 334, 14857, 10801, 16, 282, 478, 1369, 2004, 1165, 470, 12871, 7032, 4966, 34209, 309, 2852, 4070, 508, 16, 411, 1639, 38331, 510, 1011, 13144, 360, 2627, 2439, 9104, 9872, 510, 30452, 2616, 17, 299, 2236, 16, 971, 1542, 2845, 24442, 35479, 8735, 477, 478, 5286, 293, 770, 470, 510, 289, 697, 3400, 473, 1369, 12885, 475, 924, 575, 42398, 13, 5009, 3935, 519, 1949, 16, 961, 289, 10191, 5251, 414, 5364, 18, 12467, 8332, 9208, 9718, 467, 22386, 282, 478, 822, 1724, 2116, 547, 10649, 910, 289, 1085, 17, 299, 1176, 411, 1129, 1320, 5304, 8662, 282, 23356, 18, 1591, 7422, 39286, 478, 1369, 2004, 523, 470, 10372, 1270, 3260, 14772, 378, 555, 1484, 274, 18, 1253, 510, 3560, 26713, 16044, 10801, 282, 803, 11258, 31, 378, 555, 1484, 274, 906, 11620, 2409, 4335, 49648, 510, 428, 282, 14866, 16, 453, 289, 567, 47021, 7475, 478, 21837, 4654, 861, 459, 1003, 1329, 31138, 16, 374, 722, 7193, 2734, 1033, 32947, 8087, 16, 828, 4966, 722, 12360, 334, 20719, 4949, 6500, 18, 3923, 16, 14679, 16632, 635, 1336, 942, 7818, 4853, 374, 3495, 1100, 510, 16095, 44995, 20716, 1551, 364, 478, 27874, 18, 15847, 470, 282, 6104, 1045, 289, 16, 3073, 16, 3218, 8649, 8757, 10801, 18, 608, 3495, 1262, 912, 3952, 687, 309, 5629, 304, 478, 27874, 263, 470, 473, 356, 685, 3671, 355, 26123, 8900, 934, 367, 1122, 3149, 294, 15590, 7768, 475, 575, 1293, 2107, 18, 740, 1717, 329, 378, 555, 1484, 265, 16, 9956, 334, 4547, 16, 8849, 28992, 30199, 16, 1754, 678, 289, 11531, 1812, 510, 764, 477, 15470, 770, 18, 999, 347, 1616, 1450, 16, 3754, 16, 3525, 6645, 2358, 502, 16, 374, 46566, 15590, 2873, 23783, 414, 8538, 1717, 294, 1420, 16, 367, 322, 16, 3057, 16, 294, 11047, 825, 45668, 872, 272, 16, 453, 374, 378, 555, 1484, 274, 2669, 3207, 1139, 35730, 18723, 1321, 7694, 1717, 722, 510, 827, 2471, 1413, 25177, 282, 4096, 24786, 18, 608, 3495, 1262, 1574, 653, 553, 322 ]
[ 639, 18, 740, 30927, 322, 1139, 453, 17294, 977, 30, 478, 11233, 3073, 16, 417, 329, 1024, 1719, 20954, 18, 9993, 322, 24996, 16, 2616, 411, 1129, 13943, 289, 3176, 26527, 280, 1869, 1188, 2184, 1381, 14432, 861, 5315, 5786, 12331, 639, 1513, 510, 1830, 373, 282, 5118, 281, 26549, 11338, 18, 1598, 1634, 478, 1369, 2004, 523, 470, 378, 555, 1484, 274, 42200, 7623, 12750, 510, 1574, 3149, 2669, 9843, 11620, 1157, 473, 275, 5344, 16, 309, 5629, 304, 478, 27874, 263, 12235, 510, 367, 16329, 382, 31082, 21744, 4726, 281, 31976, 3955, 18, 5161, 16, 3441, 49567, 678, 7199, 3118, 41002, 1809, 510, 282, 1710, 11596, 2511, 17, 16981, 30471, 1540, 382, 405, 411, 9893, 16, 1488, 17, 16981, 11785, 8769, 6258, 488, 293, 640, 1395, 411, 415, 45667, 289, 2418, 17, 16981, 625, 2895, 4800, 363, 411, 16145, 18, 640, 16996, 745, 7451, 282, 25288, 933, 10639, 5706, 6166, 1916, 19181, 32568, 727, 8632, 513, 10196, 3975, 401, 349, 34296, 5657, 4490, 30467, 910, 510, 40809, 21576, 6370, 47813, 7656, 25408, 367, 31067, 7644, 478, 61, 1959, 69, 470, 28665, 35228, 40994, 32296, 2215, 394, 439, 13715, 2446, 392, 1624, 46514, 13309, 424, 32699, 304, 907, 50, 21423, 18, 365, 803, 478, 1369, 2004, 582, 470, 38552, 625, 2895, 4800, 363, 18, 365, 4753, 1421, 262, 378, 555, 1484, 274, 35333, 1209, 1634, 478, 277, 2664, 1027, 470, 510, 1409, 17, 11884, 13536, 27519, 36484, 16, 1286, 17, 34600, 26018, 6907, 14457, 289, 1409, 38116, 37026, 3568, 39597, 401, 18, 4149, 38483, 3872, 25899, 16309, 478, 672, 2603, 470, 6166, 672, 2603, 19774, 5594, 305, 16, 12998, 24641, 5594, 305, 9979, 11088, 19403, 884, 309, 10598, 1614, 268, 318, 1192, 18628, 1624, 367, 21035, 282, 1335, 16329, 582, 17397, 3568, 362, 19937, 18, 1658, 17, 16981, 35996, 6437, 287, 15360, 16, 2287, 17, 7745, 20672, 1034, 379, 293, 2931, 289, 2511, 17, 16981, 30471, 8038, 620, 379, 309, 478, 5286, 293, 770, 470, 28003, 281, 2152, 758, 2934, 7054, 16, 289, 282, 478, 1369, 2004, 1165, 470, 11620, 2016, 322, 2756, 34846, 49612, 510, 678, 10639, 10496, 697, 424, 5153, 46202, 16, 367, 31067, 745, 764, 3441, 2152, 668, 478, 44110, 16, 967, 38009, 454, 16, 967, 38009, 582, 861, 18098, 1154, 30471, 8038, 620, 379, 18, 3739, 3441, 49567, 19967, 1912, 17, 7745, 14249, 1241, 357, 1231, 289, 1533, 17, 1123, 750, 9787, 23915, 528, 962, 33467, 289, 11303, 16378, 1051, 510, 773, 38483, 48539, 478, 58, 908, 3659, 18130, 282, 5421, 11918, 378, 555, 1484, 274, 5505, 6915, 29518, 888, 528, 37899, 3450, 18, 439, 1215, 282, 16329, 582, 16, 282, 1754, 378, 555, 1484, 274, 35333, 2287, 17, 11884, 28888, 21358, 5971, 10752, 354, 16, 2418, 17, 34600, 450, 5203, 4059, 397, 4740, 289, 1912, 17, 11884, 999, 14395, 27977, 5269, 16, 11620, 2016, 4726, 21354, 10654, 1909, 6661, 411, 6367, 18, 7743, 282, 970, 16, 374, 28888, 6157, 282, 478, 5286, 293, 770, 470, 15097, 281, 46835, 478, 1358, 2028, 346, 27880, 334, 4975, 582, 470, 411, 34171, 2025, 30241, 343, 385, 4474, 15360, 510, 367, 1314, 492, 477, 3319, 4361, 7899, 334, 10434, 20987, 478, 3693, 14854, 2037, 5004, 5973, 861, 459, 16, 9121, 16, 6382, 2915, 18, 459, 1003, 1329, 31138, 16, 374, 785, 6712, 5352, 7818, 13569, 5251, 20994, 16, 378, 555, 1484, 274, 26967, 1717, 28888, 21358, 5971, 10752, 354, 510, 289, 10061, 3033, 8038, 620, 623, 18, 12467, 8332, 9208, 24621, 478, 1369, 2004, 523, 470, 1747, 17884, 567, 808, 478, 822, 1724, 37348, 16423, 861, 439, 282, 478, 1369, 2004, 1165, 470, 978, 8900, 11338, 478, 27874, 18, 15847, 470, 5290, 4897, 11875, 5251, 20994, 360, 4966, 3495, 1262, 510, 515, 481, 840, 309, 13420, 11056, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 426, 11032, 349, 25545, 13698, 3079, 1082, 16, 2091, 16, 5092, 289, 1800, 16, 687, 5667, 722, 3848, 12353, 2110, 18, 985, 537, 7322, 16, 4302, 14606, 1901, 289, 29666, 13624, 42018, 28323, 11268, 322, 9542, 18, 31224, 30, 677, 28138, 38836, 1180, 28, 282, 4377, 2503, 843, 27034, 811, 6940, 478, 301, 14945, 778, 470, 15506, 18, 19592, 1162, 45367, 8977, 16, 374, 16775, 36667, 282, 5021, 1045, 10073, 49735, 3692, 448, 9744, 7179, 4830, 15803, 31980, 1624, 32715, 2822, 282, 15243, 309, 583, 2952, 1180, 2932, 18, 29765, 2055, 271, 977, 309, 6549, 16, 43627, 1881, 5583, 282, 4101, 4701, 25132, 23680, 11350, 17, 7984, 945, 2409, 20437, 624, 9526, 3623, 2145, 473, 4742, 983, 13, 7009, 1353, 3663, 39125, 446, 8994, 18, 4756, 492, 3828, 16, 374, 16775, 36667, 15373, 12807, 496, 37117, 289, 47486, 334, 4547, 8290, 18, 13758, 290, 396, 499, 10862, 37117, 31980, 651, 6287, 32514, 3314, 12502, 323, 478, 361, 4467, 1033, 19872, 22832, 10535, 470, 309, 5137, 17737, 39125, 446, 798, 18, 3771, 17273, 6406, 3147, 45396, 262, 18, 24295, 9493, 513, 282, 1180, 28, 6096, 403, 342, 1015, 3828, 16338, 16, 374, 282, 5968, 20420, 38836, 478, 30722, 788, 382, 470, 5343, 322, 18806, 798, 15506, 304, 290, 396, 499, 10862, 18, 740, 282, 4784, 9347, 6198, 3352, 15089, 22695, 912, 18, 19726, 520, 3692, 448, 9744, 15803, 31980, 567, 808, 38836, 478, 45186, 23203, 3444, 470, 282, 14109, 2846, 779, 2158, 3005, 20895, 2710, 17, 299, 4590, 5800, 7549, 427, 281, 4947, 4611, 697, 12724, 309, 1907, 6571, 3182, 18, 459, 1743, 322, 282, 43444, 32210, 31980, 18, 3647, 827, 373, 4498, 7387, 290, 2826, 5007, 547, 520, 42091, 2826, 757, 27674, 35527, 16, 7006, 520, 12807, 266, 505, 44855, 11738, 1559, 373, 20419, 5488, 3376, 18, 10388, 24675, 11268, 1175, 537, 282, 5021, 1045, 16, 537, 1314, 322, 1623, 23627, 7549, 979, 541, 35468, 2422, 18, 48246, 427, 1698, 20895, 687, 1965, 1588, 2513, 3171, 3672, 276, 4011, 5211, 35392, 718, 18, 39569, 509, 30416, 313, 2944, 42403, 26507, 34002, 5667, 18, 817, 1139, 1623, 12584, 536, 579, 17000, 5349, 28549, 50138, 16, 785, 5825, 3012, 3645, 4703, 36968, 16, 367, 2826, 41559, 16020, 16816, 607, 3005, 2139, 37023, 15524, 18, 415, 970, 16, 374, 24478, 478, 5945, 507, 5643, 22832, 1489, 470, 309, 9185, 12717, 294, 29175, 416, 10035, 3352, 2419, 334, 1190, 322, 14709, 467, 1387, 41424, 2478, 16, 19422, 968, 1223, 16672, 37085, 15290, 289, 36360, 40785, 468, 29121, 1234, 3410, 4058, 27954, 18, 9711, 492 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 639, 18, 740, 30927, 322, 1139, 453, 17294, 977, 30, 478, 11233, 3073, 16, 417, 329, 1024, 1719, 20954, 18, 9993, 322, 24996, 16, 2616, 411, 1129, 13943, 289, 3176, 26527, 280, 1869, 1188, 2184, 1381, 14432, 861, 5315, 5786, 12331, 639, 1513, 510, 1830, 373, 282, 5118, 281, 26549, 11338, 18, 1598, 1634, 478, 1369, 2004, 523, 470, 378, 555, 1484, 274, 42200, 7623, 12750, 510, 1574, 3149, 2669, 9843, 11620, 1157, 473, 275, 5344, 16, 309, 5629, 304, 478, 27874, 263, 12235, 510, 367, 16329, 382, 31082, 21744, 4726, 281, 31976, 3955, 18, 5161, 16, 3441, 49567, 678, 7199, 3118, 41002, 1809, 510, 282, 1710, 11596, 2511, 17, 16981, 30471, 1540, 382, 405, 411, 9893, 16, 1488, 17, 16981, 11785, 8769, 6258, 488, 293, 640, 1395, 411, 415, 45667, 289, 2418, 17, 16981, 625, 2895, 4800, 363, 411, 16145, 18, 640, 16996, 745, 7451, 282, 25288, 933, 10639, 5706, 6166, 1916, 19181, 32568, 727, 8632, 513, 10196, 3975, 401, 349, 34296, 5657, 4490, 30467, 910, 510, 40809, 21576, 6370, 47813, 7656, 25408, 367, 31067, 7644, 478, 61, 1959, 69, 470, 28665, 35228, 40994, 32296, 2215, 394, 439, 13715, 2446, 392, 1624, 46514, 13309, 424, 32699, 304, 907, 50, 21423, 18, 365, 803, 478, 1369, 2004, 582, 470, 38552, 625, 2895, 4800, 363, 18, 365, 4753, 1421, 262, 378, 555, 1484, 274, 35333, 1209, 1634, 478, 277, 2664, 1027, 470, 510, 1409, 17, 11884, 13536, 27519, 36484, 16, 1286, 17, 34600, 26018, 6907, 14457, 289, 1409, 38116, 37026, 3568, 39597, 401, 18, 4149, 38483, 3872, 25899, 16309, 478, 672, 2603, 470, 6166, 672, 2603, 19774, 5594, 305, 16, 12998, 24641, 5594, 305, 9979, 11088, 19403, 884, 309, 10598, 1614, 268, 318, 1192, 18628, 1624, 367, 21035, 282, 1335, 16329, 582, 17397, 3568, 362, 19937, 18, 1658, 17, 16981, 35996, 6437, 287, 15360, 16, 2287, 17, 7745, 20672, 1034, 379, 293, 2931, 289, 2511, 17, 16981, 30471, 8038, 620, 379, 309, 478, 5286, 293, 770, 470, 28003, 281, 2152, 758, 2934, 7054, 16, 289, 282, 478, 1369, 2004, 1165, 470, 11620, 2016, 322, 2756, 34846, 49612, 510, 678, 10639, 10496, 697, 424, 5153, 46202, 16, 367, 31067, 745, 764, 3441, 2152, 668, 478, 44110, 16, 967, 38009, 454, 16, 967, 38009, 582, 861, 18098, 1154, 30471, 8038, 620, 379, 18, 3739, 3441, 49567, 19967, 1912, 17, 7745, 14249, 1241, 357, 1231, 289, 1533, 17, 1123, 750, 9787, 23915, 528, 962, 33467, 289, 11303, 16378, 1051, 510, 773, 38483, 48539, 478, 58, 908, 3659, 18130, 282, 5421, 11918, 378, 555, 1484, 274, 5505, 6915, 29518, 888, 528, 37899, 3450, 18, 439, 1215, 282, 16329, 582, 16, 282, 1754, 378, 555, 1484, 274, 35333, 2287, 17, 11884, 28888, 21358, 5971, 10752, 354, 16, 2418, 17, 34600, 450, 5203, 4059, 397, 4740, 289, 1912, 17, 11884, 999, 14395, 27977, 5269, 16, 11620, 2016, 4726, 21354, 10654, 1909, 6661, 411, 6367, 18, 7743, 282, 970, 16, 374, 28888, 6157, 282, 478, 5286, 293, 770, 470, 15097, 281, 46835, 478, 1358, 2028, 346, 27880, 334, 4975, 582, 470, 411, 34171, 2025, 30241, 343, 385, 4474, 15360, 510, 367, 1314, 492, 477, 3319, 4361, 7899, 334, 10434, 20987, 478, 3693, 14854, 2037, 5004, 5973, 861, 459, 16, 9121, 16, 6382, 2915, 18, 459, 1003, 1329, 31138, 16, 374, 785, 6712, 5352, 7818, 13569, 5251, 20994, 16, 378, 555, 1484, 274, 26967, 1717, 28888, 21358, 5971, 10752, 354, 510, 289, 10061, 3033, 8038, 620, 623, 18, 12467, 8332, 9208, 24621, 478, 1369, 2004, 523, 470, 1747, 17884, 567, 808, 478, 822, 1724, 37348, 16423, 861, 439, 282, 478, 1369, 2004, 1165, 470, 978, 8900, 11338, 478, 27874, 18, 15847, 470, 5290, 4897, 11875, 5251, 20994, 360, 4966, 3495, 1262, 510, 515, 481, 840, 309, 13420, 11056, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 426, 11032, 349, 25545, 13698, 3079, 1082, 16, 2091, 16, 5092, 289, 1800, 16, 687, 5667, 722, 3848, 12353, 2110, 18, 985, 537, 7322, 16, 4302, 14606, 1901, 289, 29666, 13624, 42018, 28323, 11268, 322, 9542, 18, 31224, 30, 677, 28138, 38836, 1180, 28, 282, 4377, 2503, 843, 27034, 811, 6940, 478, 301, 14945, 778, 470, 15506, 18, 19592, 1162, 45367, 8977, 16, 374, 16775, 36667, 282, 5021, 1045, 10073, 49735, 3692, 448, 9744, 7179, 4830, 15803, 31980, 1624, 32715, 2822, 282, 15243, 309, 583, 2952, 1180, 2932, 18, 29765, 2055, 271, 977, 309, 6549, 16, 43627, 1881, 5583, 282, 4101, 4701, 25132, 23680, 11350, 17, 7984, 945, 2409, 20437, 624, 9526, 3623, 2145, 473, 4742, 983, 13, 7009, 1353, 3663, 39125, 446, 8994, 18, 4756, 492, 3828, 16, 374, 16775, 36667, 15373, 12807, 496, 37117, 289, 47486, 334, 4547, 8290, 18, 13758, 290, 396, 499, 10862, 37117, 31980, 651, 6287, 32514, 3314, 12502, 323, 478, 361, 4467, 1033, 19872, 22832, 10535, 470, 309, 5137, 17737, 39125, 446, 798, 18, 3771, 17273, 6406, 3147, 45396, 262, 18, 24295, 9493, 513, 282, 1180, 28, 6096, 403, 342, 1015, 3828, 16338, 16, 374, 282, 5968, 20420, 38836, 478, 30722, 788, 382, 470, 5343, 322, 18806, 798, 15506, 304, 290, 396, 499, 10862, 18, 740, 282, 4784, 9347, 6198, 3352, 15089, 22695, 912, 18, 19726, 520, 3692, 448, 9744, 15803, 31980, 567, 808, 38836, 478, 45186, 23203, 3444, 470, 282, 14109, 2846, 779, 2158, 3005, 20895, 2710, 17, 299, 4590, 5800, 7549, 427, 281, 4947, 4611, 697, 12724, 309, 1907, 6571, 3182, 18, 459, 1743, 322, 282, 43444, 32210, 31980, 18, 3647, 827, 373, 4498, 7387, 290, 2826, 5007, 547, 520, 42091, 2826, 757, 27674, 35527, 16, 7006, 520, 12807, 266, 505, 44855, 11738, 1559, 373, 20419, 5488, 3376, 18, 10388, 24675, 11268, 1175, 537, 282, 5021, 1045, 16, 537, 1314, 322, 1623, 23627, 7549, 979, 541, 35468, 2422, 18, 48246, 427, 1698, 20895, 687, 1965, 1588, 2513, 3171, 3672, 276, 4011, 5211, 35392, 718, 18, 39569, 509, 30416, 313, 2944, 42403, 26507, 34002, 5667, 18, 817, 1139, 1623, 12584, 536, 579, 17000, 5349, 28549, 50138, 16, 785, 5825, 3012, 3645, 4703, 36968, 16, 367, 2826, 41559, 16020, 16816, 607, 3005, 2139, 37023, 15524, 18, 415, 970, 16, 374, 24478, 478, 5945, 507, 5643, 22832, 1489, 470, 309, 9185, 12717, 294, 29175, 416, 10035, 3352, 2419, 334, 1190, 322, 14709, 467, 1387, 41424, 2478, 16, 19422, 968, 1223, 16672, 37085, 15290, 289, 36360, 40785, 468, 29121, 1234, 3410, 4058, 27954, 18, 9711, 492 ]
[ 17, 299, 22930, 4519, 451, 6571, 15513, 13453, 478, 4194, 328, 19686, 432, 42018, 470, 6571, 6569, 18, 740, 4302, 43695, 870, 7549, 427, 322, 3819, 2311, 289, 935, 322, 14694, 294, 5391, 552, 334, 17, 11863, 38482, 19569, 11180, 23603, 18, 23865, 622, 294, 396, 499, 10862, 895, 6281, 3848, 4119, 6338, 1731, 21460, 1437, 20486, 31726, 289, 773, 20752, 8390, 349, 46052, 3065, 4887, 18, 48371, 2891, 26544, 282, 4822, 16, 374, 3771, 510, 2702, 30495, 8768, 289, 697, 3465, 883, 32700, 509, 18791, 18, 2839, 18809, 510, 309, 8502, 3022, 510, 1882, 30970, 874, 16, 867, 3818, 4057, 6611, 965, 16, 374, 478, 10524, 424, 18409, 861, 21621, 453, 575, 1698, 32659, 289, 282, 1175, 16, 785, 281, 3195, 26205, 12530, 19300, 1291, 478, 3340, 17474, 9118, 470, 11908, 18, 740, 371, 803, 396, 499, 3817, 726, 4618, 2756, 828, 17, 299, 4011, 4466, 12928, 6283, 4130, 282, 478, 24172, 488, 5123, 910, 282, 970, 2875, 541, 17714, 18942, 26205, 16, 374, 322, 2805, 16182, 309, 10346, 539, 5296, 7080, 1251, 17986, 16, 2264, 301, 9471, 282, 30374, 933, 32922, 292, 18, 824, 5833, 3538, 16, 22832, 1357, 5324, 7269, 22186, 1970, 478, 418, 7410, 470, 281, 1236, 416, 5126, 293, 1496, 282, 12903, 21519, 435, 309, 30483, 17, 14210, 1133, 3361, 1721, 17730, 878, 3440, 16, 828, 1500, 575, 478, 333, 266, 9020, 3213, 718, 910, 2282, 27780, 34787, 24923, 9293, 17048, 282, 34068, 46194, 2165, 7583, 2891, 18, 459, 309, 4542, 20420, 38836, 478, 45186, 7192, 788, 382, 470, 22832, 1489, 45367, 6152, 396, 499, 4805, 44855, 11738, 9798, 4830, 1175, 6769, 322, 2098, 13471, 18, 3510, 749, 10773, 396, 2987, 3562, 16775, 2891, 2410, 1904, 6597, 16, 374, 1717, 1122, 895, 2023, 4770, 6732, 18, 2, 1, 87, 1456, 81, 2448, 30, 38877, 2523, 5040, 9461, 411, 17, 431, 6164, 761, 18054, 24628, 28809, 282, 3507, 289, 1767, 282, 10666, 16, 4055, 4160, 18, 32354, 30690, 39767, 44157, 1340, 45119, 19162, 8729, 16, 10394, 281, 3695, 30, 646, 7388, 11444, 18, 19429, 11036, 519, 3915, 5576, 12412, 8633, 309, 1032, 17, 25, 12762, 3230, 14077, 5855, 14471, 18, 31224, 30, 1009, 578, 26075, 19875, 10218, 33792, 5040, 9461, 282, 11147, 289, 30383, 282, 2630, 281, 16907, 536, 49585, 16349, 32320, 18, 3863, 20251, 16, 282, 1423, 3678, 16, 14380, 18054, 289, 6164, 761, 18503, 323, 18, 36748, 7097, 7760, 282, 10666, 16, 4055, 4160, 16, 895, 46497, 519, 4668, 6862, 655, 15, 3161, 163, 228, 113, 563, 18, 39952, 10802, 549, 1137, 5090, 16, 749, 30880, 18, 365, 9907, 4275, 412, 8014, 13462, 16, 374, 2961, 11465, 5040, 9461, 24385, 281, 4016, 4160, 281, 3695, 18, 646, 309, 3436, 4177, 18, 8413, 300, 7294, 11826, 779, 12146, 309, 1032, 17, 25, 12762, 3230, 14077, 5855, 14471, 16, 33060, 4419, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 861, 996, 16, 567, 12241, 16, 4039, 4160, 16, 19988, 10802, 549, 1137, 5090, 16, 749, 30880, 16, 8785, 549, 12412, 4668, 5493, 655, 15, 6894, 5448, 563, 16, 5426, 6920, 7392, 4668, 3940, 655, 15, 1618, 5448, 563, 18, 23544, 9265, 17, 14099, 451, 16, 1032, 17, 29, 308, 19, 267, 16, 11440, 1409, 6837, 6322, 941, 266, 18, 422, 18, 4518, 4160, 16, 282, 9937, 16, 309, 4004, 24628, 6058, 3748, 7957, 23337, 451, 12370, 18, 14155, 349, 2651, 5284, 282, 3507, 10802, 549, 1137, 5090, 16, 31559, 11511, 289, 49244, 18, 36748, 371, 803, 8633, 7773, 30, 7760, 4668, 6091, 655, 15, 6862, 5448, 39, 16, 5426, 4668, 2783, 655, 15, 3420, 5448, 39, 18, 23544, 9839, 17, 12212, 2234, 16, 1032, 17, 29, 308, 19, 267, 16, 23337, 451, 4328, 10585, 484, 519, 39271, 6322, 941, 266, 18, 422, 18, 365, 11946, 16, 2555, 4160, 16, 1248, 3187, 2234, 5549, 8192, 18817, 23337, 451, 12370, 16, 371, 803, 492, 3226, 575, 2098, 2269, 309, 14734, 1165, 16, 367, 322, 22574, 18, 23103, 1134, 282, 3507, 18222, 34049, 281, 5564, 1134, 16, 367, 1215, 1556, 818, 382, 24102, 27282, 43957, 4668, 5759, 655, 15, 6462, 5448, 563, 7760, 289, 4668, 4234, 655, 15, 2692, 5448, 39, 5426, 18, 23544, 9839, 17, 12212, 2234, 16, 816, 17, 28, 308, 19, 267, 16, 11440, 20688, 473, 8564, 21, 6322, 941, 266, 18, 422, 6185, 6682, 17, 25249, 1820, 539, 1803, 303, 540, 564, 282, 7522, 289, 6391, 10232, 1472, 282, 10882, 16, 5741, 4160, 18, 365, 4722, 1119, 7294, 19988, 4668, 3420, 655, 15, 5759, 5448, 563, 282, 38940, 808, 9909, 289, 1533, 655, 15, 3114, 5448, 563, 282, 32157, 18, 4798, 44354, 30880, 18, 23544, 7395, 2234, 16, 1061, 17, 2479, 308, 19, 267, 16, 23337, 451, 4328, 9250, 16, 1409, 8042, 6322, 941, 266, 18, 422, 2211, 1178, 13673, 1293, 2868, 30850, 36309, 2912, 13084, 16, 502, 1466, 7471, 25255, 16, 7415, 16, 906, 45337, 325, 26807, 761, 18, 439, 3765, 309, 11946, 16, 3703, 4160, 16, 2756, 3453, 13868, 281, 2742, 5196, 18, 365, 3507, 16, 334, 3761, 309, 1286, 3139, 4079, 16, 9107, 3050, 12412, 37050, 977, 519, 4668, 28, 16, 26, 5448, 563, 18, 996, 12688, 282, 11147, 322, 639, 1033, 1949, 4776, 16, 281, 2261, 4209, 11826, 779, 18, 365, 5329, 575, 22434, 12412, 7097, 349, 28822, 4701, 4160, 282, 3507, 4896, 4668, 2932, 16, 20, 5448, 563, 18, 889, 1143, 828, 309, 491, 5448, 563, 17045, 33884, 16, 289, 281, 2733, 44391, 4722, 28785, 5004, 1055, 9225, 3303, 4367, 1756, 2496, 3322, 43156, 3362, 1356, 349, 475, 808, 44157, 8043, 34789, 309, 17996, 262, 9527, 38865, 682, 1916, 16, 367, 481, 749, 16002, 5953, 986, 16, 36842, 8876, 478, 1182, 348, 397, 861, 20012, 12023, 13535, 282, 13673, 4701, 16, 4722, 5004, 7294, 3147, 895, 6448, 14817, 309, 16568, 539, 18326, 1756, 18, 39540, 978, 779, 1055, 37067, 1472, 3362, 1100, 5653, 17, 361, 473, 29172, 2636, 12412, 4668, 2932, 16, 22, 5448, 563, 934, 3362, 1100, 17018, 779, 35162, 2932, 16, 26, 5448, 563, 13, 289, 15513, 33262, 272, 510, 3362, 1100, 4479, 779, 35162, 6568, 16, 28, 5448, 563, 814, 17791, 16, 4722, 29098, 447, 289, 13392, 373, 10408, 510, 1717, 282, 1177, 1205, 424, 11147, 38565, 414, 1677, 399, 274, 1157, 16, 1332, 349, 32817, 435, 2564, 304, 289, 36401, 16, 367, 8750, 622, 289, 45675, 41561, 2804, 16444, 1816, 12615 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17, 299, 22930, 4519, 451, 6571, 15513, 13453, 478, 4194, 328, 19686, 432, 42018, 470, 6571, 6569, 18, 740, 4302, 43695, 870, 7549, 427, 322, 3819, 2311, 289, 935, 322, 14694, 294, 5391, 552, 334, 17, 11863, 38482, 19569, 11180, 23603, 18, 23865, 622, 294, 396, 499, 10862, 895, 6281, 3848, 4119, 6338, 1731, 21460, 1437, 20486, 31726, 289, 773, 20752, 8390, 349, 46052, 3065, 4887, 18, 48371, 2891, 26544, 282, 4822, 16, 374, 3771, 510, 2702, 30495, 8768, 289, 697, 3465, 883, 32700, 509, 18791, 18, 2839, 18809, 510, 309, 8502, 3022, 510, 1882, 30970, 874, 16, 867, 3818, 4057, 6611, 965, 16, 374, 478, 10524, 424, 18409, 861, 21621, 453, 575, 1698, 32659, 289, 282, 1175, 16, 785, 281, 3195, 26205, 12530, 19300, 1291, 478, 3340, 17474, 9118, 470, 11908, 18, 740, 371, 803, 396, 499, 3817, 726, 4618, 2756, 828, 17, 299, 4011, 4466, 12928, 6283, 4130, 282, 478, 24172, 488, 5123, 910, 282, 970, 2875, 541, 17714, 18942, 26205, 16, 374, 322, 2805, 16182, 309, 10346, 539, 5296, 7080, 1251, 17986, 16, 2264, 301, 9471, 282, 30374, 933, 32922, 292, 18, 824, 5833, 3538, 16, 22832, 1357, 5324, 7269, 22186, 1970, 478, 418, 7410, 470, 281, 1236, 416, 5126, 293, 1496, 282, 12903, 21519, 435, 309, 30483, 17, 14210, 1133, 3361, 1721, 17730, 878, 3440, 16, 828, 1500, 575, 478, 333, 266, 9020, 3213, 718, 910, 2282, 27780, 34787, 24923, 9293, 17048, 282, 34068, 46194, 2165, 7583, 2891, 18, 459, 309, 4542, 20420, 38836, 478, 45186, 7192, 788, 382, 470, 22832, 1489, 45367, 6152, 396, 499, 4805, 44855, 11738, 9798, 4830, 1175, 6769, 322, 2098, 13471, 18, 3510, 749, 10773, 396, 2987, 3562, 16775, 2891, 2410, 1904, 6597, 16, 374, 1717, 1122, 895, 2023, 4770, 6732, 18, 2, 1, 87, 1456, 81, 2448, 30, 38877, 2523, 5040, 9461, 411, 17, 431, 6164, 761, 18054, 24628, 28809, 282, 3507, 289, 1767, 282, 10666, 16, 4055, 4160, 18, 32354, 30690, 39767, 44157, 1340, 45119, 19162, 8729, 16, 10394, 281, 3695, 30, 646, 7388, 11444, 18, 19429, 11036, 519, 3915, 5576, 12412, 8633, 309, 1032, 17, 25, 12762, 3230, 14077, 5855, 14471, 18, 31224, 30, 1009, 578, 26075, 19875, 10218, 33792, 5040, 9461, 282, 11147, 289, 30383, 282, 2630, 281, 16907, 536, 49585, 16349, 32320, 18, 3863, 20251, 16, 282, 1423, 3678, 16, 14380, 18054, 289, 6164, 761, 18503, 323, 18, 36748, 7097, 7760, 282, 10666, 16, 4055, 4160, 16, 895, 46497, 519, 4668, 6862, 655, 15, 3161, 163, 228, 113, 563, 18, 39952, 10802, 549, 1137, 5090, 16, 749, 30880, 18, 365, 9907, 4275, 412, 8014, 13462, 16, 374, 2961, 11465, 5040, 9461, 24385, 281, 4016, 4160, 281, 3695, 18, 646, 309, 3436, 4177, 18, 8413, 300, 7294, 11826, 779, 12146, 309, 1032, 17, 25, 12762, 3230, 14077, 5855, 14471, 16, 33060, 4419, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 861, 996, 16, 567, 12241, 16, 4039, 4160, 16, 19988, 10802, 549, 1137, 5090, 16, 749, 30880, 16, 8785, 549, 12412, 4668, 5493, 655, 15, 6894, 5448, 563, 16, 5426, 6920, 7392, 4668, 3940, 655, 15, 1618, 5448, 563, 18, 23544, 9265, 17, 14099, 451, 16, 1032, 17, 29, 308, 19, 267, 16, 11440, 1409, 6837, 6322, 941, 266, 18, 422, 18, 4518, 4160, 16, 282, 9937, 16, 309, 4004, 24628, 6058, 3748, 7957, 23337, 451, 12370, 18, 14155, 349, 2651, 5284, 282, 3507, 10802, 549, 1137, 5090, 16, 31559, 11511, 289, 49244, 18, 36748, 371, 803, 8633, 7773, 30, 7760, 4668, 6091, 655, 15, 6862, 5448, 39, 16, 5426, 4668, 2783, 655, 15, 3420, 5448, 39, 18, 23544, 9839, 17, 12212, 2234, 16, 1032, 17, 29, 308, 19, 267, 16, 23337, 451, 4328, 10585, 484, 519, 39271, 6322, 941, 266, 18, 422, 18, 365, 11946, 16, 2555, 4160, 16, 1248, 3187, 2234, 5549, 8192, 18817, 23337, 451, 12370, 16, 371, 803, 492, 3226, 575, 2098, 2269, 309, 14734, 1165, 16, 367, 322, 22574, 18, 23103, 1134, 282, 3507, 18222, 34049, 281, 5564, 1134, 16, 367, 1215, 1556, 818, 382, 24102, 27282, 43957, 4668, 5759, 655, 15, 6462, 5448, 563, 7760, 289, 4668, 4234, 655, 15, 2692, 5448, 39, 5426, 18, 23544, 9839, 17, 12212, 2234, 16, 816, 17, 28, 308, 19, 267, 16, 11440, 20688, 473, 8564, 21, 6322, 941, 266, 18, 422, 6185, 6682, 17, 25249, 1820, 539, 1803, 303, 540, 564, 282, 7522, 289, 6391, 10232, 1472, 282, 10882, 16, 5741, 4160, 18, 365, 4722, 1119, 7294, 19988, 4668, 3420, 655, 15, 5759, 5448, 563, 282, 38940, 808, 9909, 289, 1533, 655, 15, 3114, 5448, 563, 282, 32157, 18, 4798, 44354, 30880, 18, 23544, 7395, 2234, 16, 1061, 17, 2479, 308, 19, 267, 16, 23337, 451, 4328, 9250, 16, 1409, 8042, 6322, 941, 266, 18, 422, 2211, 1178, 13673, 1293, 2868, 30850, 36309, 2912, 13084, 16, 502, 1466, 7471, 25255, 16, 7415, 16, 906, 45337, 325, 26807, 761, 18, 439, 3765, 309, 11946, 16, 3703, 4160, 16, 2756, 3453, 13868, 281, 2742, 5196, 18, 365, 3507, 16, 334, 3761, 309, 1286, 3139, 4079, 16, 9107, 3050, 12412, 37050, 977, 519, 4668, 28, 16, 26, 5448, 563, 18, 996, 12688, 282, 11147, 322, 639, 1033, 1949, 4776, 16, 281, 2261, 4209, 11826, 779, 18, 365, 5329, 575, 22434, 12412, 7097, 349, 28822, 4701, 4160, 282, 3507, 4896, 4668, 2932, 16, 20, 5448, 563, 18, 889, 1143, 828, 309, 491, 5448, 563, 17045, 33884, 16, 289, 281, 2733, 44391, 4722, 28785, 5004, 1055, 9225, 3303, 4367, 1756, 2496, 3322, 43156, 3362, 1356, 349, 475, 808, 44157, 8043, 34789, 309, 17996, 262, 9527, 38865, 682, 1916, 16, 367, 481, 749, 16002, 5953, 986, 16, 36842, 8876, 478, 1182, 348, 397, 861, 20012, 12023, 13535, 282, 13673, 4701, 16, 4722, 5004, 7294, 3147, 895, 6448, 14817, 309, 16568, 539, 18326, 1756, 18, 39540, 978, 779, 1055, 37067, 1472, 3362, 1100, 5653, 17, 361, 473, 29172, 2636, 12412, 4668, 2932, 16, 22, 5448, 563, 934, 3362, 1100, 17018, 779, 35162, 2932, 16, 26, 5448, 563, 13, 289, 15513, 33262, 272, 510, 3362, 1100, 4479, 779, 35162, 6568, 16, 28, 5448, 563, 814, 17791, 16, 4722, 29098, 447, 289, 13392, 373, 10408, 510, 1717, 282, 1177, 1205, 424, 11147, 38565, 414, 1677, 399, 274, 1157, 16, 1332, 349, 32817, 435, 2564, 304, 289, 36401, 16, 367, 8750, 622, 289, 45675, 41561, 2804, 16444, 1816, 12615 ]
[ 349, 481, 808, 9478, 2961, 42136, 18, 478, 8407, 315, 6496, 448, 470, 39960, 18503, 416, 9461, 3696, 5985, 282, 3507, 281, 35256, 6576, 1330, 18, 12205, 2523, 1929, 40967, 16, 374, 17395, 39636, 2913, 324, 651, 334, 17188, 14006, 16, 3057, 16, 21907, 1398, 14113, 670, 34121, 12412, 16, 11473, 6978, 16, 12625, 448, 14734, 382, 670, 10615, 289, 29130, 697, 7814, 18, 12205, 2523, 651, 7504, 411, 4256, 41505, 329, 44157, 13405, 25082, 33422, 10287, 434, 19959, 18, 999, 42760, 282, 11147, 33792, 5040, 18503, 416, 9461, 3696, 7831, 1293, 445, 16, 367, 477, 491, 334, 2287, 4160, 2849, 23001, 22885, 6033, 9600, 322, 18470, 2195, 18, 15066, 22517, 3672, 1103, 426, 2195, 2552, 1119, 411, 17, 431, 7773, 1469, 31637, 22484, 16, 3387, 282, 3187, 4267, 9804, 47401, 6164, 2135, 473, 660, 490, 9930, 519, 4668, 8914, 5448, 563, 13, 289, 48923, 17395, 18, 1286, 4160, 685, 28809, 25778, 20251, 19959, 651, 49244, 18, 640, 1760, 289, 2261, 4160, 685, 1038, 28809, 33792, 5040, 9461, 16, 515, 309, 7256, 445, 282, 2630, 281, 12625, 758, 14734, 1082, 18, 996, 16, 349, 8729, 1760, 4160, 48045, 1033, 23523, 1986, 1941, 14471, 30880, 18, 365, 3580, 8056, 15170, 23025, 307, 16, 49244, 16, 367, 10592, 560, 11315, 5575, 414, 2123, 17, 5759, 308, 19, 267, 18, 8071, 19163, 4570, 33792, 5040, 18503, 416, 9461, 3696, 9748, 1939, 289, 3405, 4160, 18, 2, 1, 87, 1456, 81, 2448, 30, 14102, 42025, 427, 16, 374, 10933, 15499, 1157, 4222, 10531, 4830, 31755, 1018, 5696, 507, 1789, 554, 331, 16, 10302, 294, 16704, 554, 568, 40646, 8043, 478, 487, 368, 910, 1109, 3781, 17, 15975, 7179, 15465, 6370, 26334, 18, 817, 14676, 2904, 16, 374, 24556, 1789, 554, 331, 282, 31755, 426, 27550, 309, 39958, 289, 5626, 16, 289, 18519, 322, 27920, 309, 9099, 282, 296, 15437, 18, 4756, 10027, 21408, 477, 7755, 309, 9866, 21155, 26037, 5687, 18061, 10989, 44076, 32556, 16, 374, 2364, 10367, 5781, 42724, 411, 688, 47966, 6535, 282, 31755, 426, 18, 31224, 30, 672, 1471, 343, 553, 290, 970, 16, 374, 3771, 5186, 332, 33317, 20840, 31755, 1018, 5696, 507, 1789, 554, 331, 1624, 322, 24706, 11171, 16, 3828, 3781, 17, 15975, 4830, 6370, 26334, 18, 478, 5786, 5428, 16, 481, 8862, 411, 1767, 568, 40646, 3063, 18, 3026, 575, 309, 2468, 8856, 27550, 24556, 282, 31755, 426, 16, 1085, 4222, 5252, 1789, 554, 331, 16, 2419, 1139, 5751, 3728, 36022, 910, 510, 1109, 5854, 21569, 16, 2394, 14242, 322, 27920, 309, 9099, 478, 487, 382, 861, 365, 1078, 309, 22599, 13202, 1519, 8862, 16, 374, 6413, 18362, 986, 434, 14363, 478, 11825, 470, 8641, 12983, 9438, 282, 1614, 14137, 23577, 16, 26334, 9848, 16, 374, 282, 32094, 18446, 13988, 322, 10052, 467, 18, 2706, 3612, 10027, 21408, 477, 7755, 309, 23488, 448, 13156, 289, 9866, 21155, 26037, 5687, 18061, 10989, 44076, 32556, 16, 374, 8811, 478, 13776, 680, 22132, 8312, 2241, 470, 14416, 282, 31755, 1528, 541, 8434, 1789, 554, 331, 18, 439, 35667, 448, 13156, 322, 7737, 25329, 18390, 27555, 7032, 688, 47966, 16, 2686, 36680, 16, 374, 475, 745, 726, 6535, 282, 10056, 343, 409, 18, 3739, 1176, 18290, 3828, 16, 374, 7732, 4786, 6684, 8641, 35272, 282, 31755, 1528, 10552, 37965, 10144, 282, 11366, 11826, 779, 16, 10546, 510, 478, 404, 4512, 861, 20099, 7920, 1367, 30431, 7822, 718, 11469, 718, 15160, 10618, 10989, 29903, 282, 20175, 281, 39298, 3828, 16, 374, 3400, 5781, 42724, 282, 31755, 426, 20542, 10367, 1135, 18, 824, 505, 3163, 16, 15499, 1157, 10212, 538, 282, 31755, 1528, 478, 431, 1119, 670, 1272, 519, 2742, 38395, 17344, 861, 4663, 16213, 1623, 16220, 5696, 507, 1789, 554, 331, 360, 10949, 21974, 21669, 17344, 44956, 505, 18, 824, 3163, 10989, 44076, 16, 4686, 22318, 688, 47966, 309, 1949, 19151, 842, 432, 10601, 292, 15613, 538, 309, 6590, 272, 16, 282, 5971, 342, 392, 16, 367, 519, 31755, 1018, 24056, 19697, 7785, 4118, 4315, 3032, 18, 365, 21283, 1967, 1280, 10027, 7332, 5024, 281, 13859, 334, 31543, 10985, 15038, 30, 9805, 22201, 17, 16184, 16, 8380, 3137, 4212, 49195, 6937, 4830, 1175, 1624, 28076, 282, 5971, 342, 392, 6774, 5475, 3703, 3612, 411, 4534, 1248, 385, 1414, 4041, 289, 11468, 297, 2880, 18, 6592, 3761, 290, 590, 7724, 292, 16, 282, 2849, 281, 1533, 334, 2418, 3972, 11826, 779, 7029, 1505, 1236, 17, 2783, 24, 289, 22201, 17, 9965, 26158, 39373, 1251, 9609, 289, 31755, 5499, 18, 3739, 1176, 22201, 17, 9965, 685, 282, 10056, 343, 409, 281, 1912, 334, 3695, 3972, 18, 1303, 1421, 10601, 16, 16405, 10027, 16, 17845, 17234, 19336, 18, 2112, 25000, 282, 5792, 19713, 1175, 282, 10056, 343, 409, 4137, 999, 339, 778, 41847, 2089, 4371, 16, 48431, 722, 478, 19072, 416, 1600, 761, 861, 478, 11459, 290, 4700, 5781, 15204, 6684, 38530, 282, 31755, 426, 417, 9181, 322, 9191, 910, 510, 4725, 36971, 18, 967, 803, 22062, 727, 4742, 10258, 14781, 16, 4511, 6954, 16, 374, 10989, 29903, 322, 1623, 14679, 9866, 35299, 26037, 24206, 16, 7391, 300, 18909, 21773, 349, 2764, 289, 1762, 271, 290, 3177, 18995, 282, 9275, 17343, 282, 39928, 18, 4530, 867, 16, 6370, 26334, 1038, 4848, 16, 374, 329, 4534, 322, 639, 289, 322, 12350, 27486, 477, 32183, 4309, 11919, 31755, 1018, 12859, 8676, 6470, 264, 578, 262, 16, 1029, 44923, 965, 2252, 536, 12984, 978, 4000, 18, 478, 17603, 4836, 16, 753, 2419, 7741, 49184, 5888, 873, 16207, 4110, 282, 4301, 12128, 5355, 4629, 475, 39588, 16, 961, 1698, 953, 1251, 2872, 16, 289, 15880, 16, 828, 656, 5087, 4366, 16, 510, 481, 322, 32474, 282, 2089, 6730, 16, 428, 6977, 14426, 3888, 2553, 18, 6068, 669, 6135, 1472, 26780, 3576, 2089, 6730, 910, 510, 5692, 3781, 17, 15975, 18, 4756, 492, 1038, 5860, 4615, 6106, 16, 374, 309, 1497, 45194, 11048, 541, 31755, 1018, 1314, 6048, 31308, 2145, 18, 478, 630, 513, 1499, 502, 16, 374, 3621, 282, 31755, 426, 16, 515, 764, 2913, 845, 16, 374, 481, 3621, 371, 24167, 11564, 21732, 16, 322, 3537, 28057, 1207, 16, 367, 11564, 21732, 2145, 16, 978, 935, 2504, 322, 37726, 910, 510, 9299, 26334, 18, 824, 505, 4734, 16, 309, 478, 7779, 292, 7543, 8902, 5348, 470, 17344, 281, 2145, 16405, 1500, 5809, 16, 374, 22154, 39116, 315, 13749, 12984, 4806, 17777, 11919, 2994, 1916, 272, 2334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 349, 481, 808, 9478, 2961, 42136, 18, 478, 8407, 315, 6496, 448, 470, 39960, 18503, 416, 9461, 3696, 5985, 282, 3507, 281, 35256, 6576, 1330, 18, 12205, 2523, 1929, 40967, 16, 374, 17395, 39636, 2913, 324, 651, 334, 17188, 14006, 16, 3057, 16, 21907, 1398, 14113, 670, 34121, 12412, 16, 11473, 6978, 16, 12625, 448, 14734, 382, 670, 10615, 289, 29130, 697, 7814, 18, 12205, 2523, 651, 7504, 411, 4256, 41505, 329, 44157, 13405, 25082, 33422, 10287, 434, 19959, 18, 999, 42760, 282, 11147, 33792, 5040, 18503, 416, 9461, 3696, 7831, 1293, 445, 16, 367, 477, 491, 334, 2287, 4160, 2849, 23001, 22885, 6033, 9600, 322, 18470, 2195, 18, 15066, 22517, 3672, 1103, 426, 2195, 2552, 1119, 411, 17, 431, 7773, 1469, 31637, 22484, 16, 3387, 282, 3187, 4267, 9804, 47401, 6164, 2135, 473, 660, 490, 9930, 519, 4668, 8914, 5448, 563, 13, 289, 48923, 17395, 18, 1286, 4160, 685, 28809, 25778, 20251, 19959, 651, 49244, 18, 640, 1760, 289, 2261, 4160, 685, 1038, 28809, 33792, 5040, 9461, 16, 515, 309, 7256, 445, 282, 2630, 281, 12625, 758, 14734, 1082, 18, 996, 16, 349, 8729, 1760, 4160, 48045, 1033, 23523, 1986, 1941, 14471, 30880, 18, 365, 3580, 8056, 15170, 23025, 307, 16, 49244, 16, 367, 10592, 560, 11315, 5575, 414, 2123, 17, 5759, 308, 19, 267, 18, 8071, 19163, 4570, 33792, 5040, 18503, 416, 9461, 3696, 9748, 1939, 289, 3405, 4160, 18, 2, 1, 87, 1456, 81, 2448, 30, 14102, 42025, 427, 16, 374, 10933, 15499, 1157, 4222, 10531, 4830, 31755, 1018, 5696, 507, 1789, 554, 331, 16, 10302, 294, 16704, 554, 568, 40646, 8043, 478, 487, 368, 910, 1109, 3781, 17, 15975, 7179, 15465, 6370, 26334, 18, 817, 14676, 2904, 16, 374, 24556, 1789, 554, 331, 282, 31755, 426, 27550, 309, 39958, 289, 5626, 16, 289, 18519, 322, 27920, 309, 9099, 282, 296, 15437, 18, 4756, 10027, 21408, 477, 7755, 309, 9866, 21155, 26037, 5687, 18061, 10989, 44076, 32556, 16, 374, 2364, 10367, 5781, 42724, 411, 688, 47966, 6535, 282, 31755, 426, 18, 31224, 30, 672, 1471, 343, 553, 290, 970, 16, 374, 3771, 5186, 332, 33317, 20840, 31755, 1018, 5696, 507, 1789, 554, 331, 1624, 322, 24706, 11171, 16, 3828, 3781, 17, 15975, 4830, 6370, 26334, 18, 478, 5786, 5428, 16, 481, 8862, 411, 1767, 568, 40646, 3063, 18, 3026, 575, 309, 2468, 8856, 27550, 24556, 282, 31755, 426, 16, 1085, 4222, 5252, 1789, 554, 331, 16, 2419, 1139, 5751, 3728, 36022, 910, 510, 1109, 5854, 21569, 16, 2394, 14242, 322, 27920, 309, 9099, 478, 487, 382, 861, 365, 1078, 309, 22599, 13202, 1519, 8862, 16, 374, 6413, 18362, 986, 434, 14363, 478, 11825, 470, 8641, 12983, 9438, 282, 1614, 14137, 23577, 16, 26334, 9848, 16, 374, 282, 32094, 18446, 13988, 322, 10052, 467, 18, 2706, 3612, 10027, 21408, 477, 7755, 309, 23488, 448, 13156, 289, 9866, 21155, 26037, 5687, 18061, 10989, 44076, 32556, 16, 374, 8811, 478, 13776, 680, 22132, 8312, 2241, 470, 14416, 282, 31755, 1528, 541, 8434, 1789, 554, 331, 18, 439, 35667, 448, 13156, 322, 7737, 25329, 18390, 27555, 7032, 688, 47966, 16, 2686, 36680, 16, 374, 475, 745, 726, 6535, 282, 10056, 343, 409, 18, 3739, 1176, 18290, 3828, 16, 374, 7732, 4786, 6684, 8641, 35272, 282, 31755, 1528, 10552, 37965, 10144, 282, 11366, 11826, 779, 16, 10546, 510, 478, 404, 4512, 861, 20099, 7920, 1367, 30431, 7822, 718, 11469, 718, 15160, 10618, 10989, 29903, 282, 20175, 281, 39298, 3828, 16, 374, 3400, 5781, 42724, 282, 31755, 426, 20542, 10367, 1135, 18, 824, 505, 3163, 16, 15499, 1157, 10212, 538, 282, 31755, 1528, 478, 431, 1119, 670, 1272, 519, 2742, 38395, 17344, 861, 4663, 16213, 1623, 16220, 5696, 507, 1789, 554, 331, 360, 10949, 21974, 21669, 17344, 44956, 505, 18, 824, 3163, 10989, 44076, 16, 4686, 22318, 688, 47966, 309, 1949, 19151, 842, 432, 10601, 292, 15613, 538, 309, 6590, 272, 16, 282, 5971, 342, 392, 16, 367, 519, 31755, 1018, 24056, 19697, 7785, 4118, 4315, 3032, 18, 365, 21283, 1967, 1280, 10027, 7332, 5024, 281, 13859, 334, 31543, 10985, 15038, 30, 9805, 22201, 17, 16184, 16, 8380, 3137, 4212, 49195, 6937, 4830, 1175, 1624, 28076, 282, 5971, 342, 392, 6774, 5475, 3703, 3612, 411, 4534, 1248, 385, 1414, 4041, 289, 11468, 297, 2880, 18, 6592, 3761, 290, 590, 7724, 292, 16, 282, 2849, 281, 1533, 334, 2418, 3972, 11826, 779, 7029, 1505, 1236, 17, 2783, 24, 289, 22201, 17, 9965, 26158, 39373, 1251, 9609, 289, 31755, 5499, 18, 3739, 1176, 22201, 17, 9965, 685, 282, 10056, 343, 409, 281, 1912, 334, 3695, 3972, 18, 1303, 1421, 10601, 16, 16405, 10027, 16, 17845, 17234, 19336, 18, 2112, 25000, 282, 5792, 19713, 1175, 282, 10056, 343, 409, 4137, 999, 339, 778, 41847, 2089, 4371, 16, 48431, 722, 478, 19072, 416, 1600, 761, 861, 478, 11459, 290, 4700, 5781, 15204, 6684, 38530, 282, 31755, 426, 417, 9181, 322, 9191, 910, 510, 4725, 36971, 18, 967, 803, 22062, 727, 4742, 10258, 14781, 16, 4511, 6954, 16, 374, 10989, 29903, 322, 1623, 14679, 9866, 35299, 26037, 24206, 16, 7391, 300, 18909, 21773, 349, 2764, 289, 1762, 271, 290, 3177, 18995, 282, 9275, 17343, 282, 39928, 18, 4530, 867, 16, 6370, 26334, 1038, 4848, 16, 374, 329, 4534, 322, 639, 289, 322, 12350, 27486, 477, 32183, 4309, 11919, 31755, 1018, 12859, 8676, 6470, 264, 578, 262, 16, 1029, 44923, 965, 2252, 536, 12984, 978, 4000, 18, 478, 17603, 4836, 16, 753, 2419, 7741, 49184, 5888, 873, 16207, 4110, 282, 4301, 12128, 5355, 4629, 475, 39588, 16, 961, 1698, 953, 1251, 2872, 16, 289, 15880, 16, 828, 656, 5087, 4366, 16, 510, 481, 322, 32474, 282, 2089, 6730, 16, 428, 6977, 14426, 3888, 2553, 18, 6068, 669, 6135, 1472, 26780, 3576, 2089, 6730, 910, 510, 5692, 3781, 17, 15975, 18, 4756, 492, 1038, 5860, 4615, 6106, 16, 374, 309, 1497, 45194, 11048, 541, 31755, 1018, 1314, 6048, 31308, 2145, 18, 478, 630, 513, 1499, 502, 16, 374, 3621, 282, 31755, 426, 16, 515, 764, 2913, 845, 16, 374, 481, 3621, 371, 24167, 11564, 21732, 16, 322, 3537, 28057, 1207, 16, 367, 11564, 21732, 2145, 16, 978, 935, 2504, 322, 37726, 910, 510, 9299, 26334, 18, 824, 505, 4734, 16, 309, 478, 7779, 292, 7543, 8902, 5348, 470, 17344, 281, 2145, 16405, 1500, 5809, 16, 374, 22154, 39116, 315, 13749, 12984, 4806, 17777, 11919, 2994, 1916, 272, 2334 ]
[ 6470, 686, 660, 9142, 478, 30323, 6795, 24468, 309, 2242, 671, 513, 1066, 2891, 282, 4008, 861, 41297, 1505, 8296, 13487, 282, 31755, 426, 3695, 3612, 18, 640, 39332, 19762, 6470, 686, 660, 10218, 965, 2252, 536, 18813, 4000, 309, 2849, 3193, 29277, 5439, 18, 2320, 27631, 2145, 289, 5906, 2044, 16101, 18, 35339, 1789, 554, 331, 22618, 16, 374, 322, 50234, 1595, 3059, 519, 9293, 1489, 1713, 2198, 975, 12783, 282, 1939, 4691, 1045, 16, 289, 8566, 6470, 264, 578, 262, 478, 429, 35857, 305, 761, 2145, 861, 3771, 44951, 1789, 554, 331, 428, 9272, 434, 4830, 31755, 1018, 18, 824, 3761, 6474, 574, 2794, 7257, 16, 349, 808, 29236, 1409, 17867, 1631, 31764, 16, 4518, 1135, 9100, 18, 2, 1, 87, 1456, 81, 2448, 30, 24775, 1880, 478, 45565, 470, 309, 26225, 773, 18, 625, 18, 9676, 10190, 14954, 558, 8469, 576, 8955, 1195, 478, 2997, 339, 17851, 2344, 17, 10245, 447, 861, 34230, 309, 1595, 2948, 6776, 414, 18935, 6434, 1388, 16, 10618, 18144, 2243, 273, 16, 367, 25236, 478, 45565, 470, 3720, 44703, 3740, 14212, 11216, 282, 1617, 8999, 18, 31224, 30, 24775, 1880, 478, 45565, 470, 282, 7192, 4019, 28220, 33296, 1175, 282, 5572, 25308, 913, 16, 2170, 13928, 424, 49624, 727, 682, 1098, 42100, 435, 478, 2997, 339, 17851, 888, 17, 10245, 447, 861, 23420, 281, 1614, 486, 1175, 510, 1176, 411, 10235, 41541, 309, 2019, 282, 15291, 552, 16, 290, 828, 2548, 289, 17834, 2452, 4966, 16, 7235, 364, 4990, 30775, 12525, 16, 1904, 38952, 23372, 2339, 965, 282, 7638, 17, 326, 1484, 16, 289, 7005, 4966, 510, 21166, 2497, 16259, 16197, 4015, 17823, 401, 282, 803, 11258, 329, 7367, 1472, 282, 3709, 8267, 510, 309, 36934, 2012, 296, 4929, 680, 478, 11356, 17, 32292, 2893, 470, 473, 21, 30, 23, 814, 1397, 575, 519, 478, 45565, 910, 502, 3187, 2234, 3216, 16, 282, 6588, 360, 1728, 22125, 21755, 16, 322, 895, 27103, 11209, 36894, 339, 3946, 3494, 32462, 16, 367, 282, 44200, 26083, 30377, 40599, 282, 8151, 18, 5043, 16, 289, 4380, 329, 18374, 17, 44606, 3964, 322, 4116, 1635, 265, 16, 428, 329, 9564, 1275, 18, 2046, 726, 942, 3111, 16, 374, 16, 4813, 309, 17622, 485, 7005, 16, 36861, 262, 321, 275, 873, 34300, 1634, 25467, 309, 32689, 18, 640, 35107, 281, 478, 2997, 339, 17851, 2344, 17, 10245, 447, 470, 3523, 10420, 4652, 5270, 2634, 15364, 473, 285, 533, 25467, 26070, 478, 45565, 470, 7182, 36385, 289, 567, 6477, 11815, 7586, 282, 34077, 25308, 913, 934, 281, 5606, 575, 1879, 24983, 1628, 324, 2339, 1634, 3898, 1275, 4024, 18, 8117, 9273, 291, 873, 16, 282, 1423, 3678, 16, 31592, 4490, 23564, 25467, 16, 20137, 773, 4506, 1330, 510, 21166, 2497, 18083, 688, 13562, 295, 1043, 11709, 40343, 16, 282, 20330, 464, 37358, 1650, 275, 329, 7889, 21755, 1293, 33903, 25592, 16, 282, 4810, 16, 12298, 25585, 18935, 6434, 1388, 289, 14013, 2263, 267, 1970, 18, 365, 8151, 3298, 429, 6096, 25414, 685, 4816, 289, 4521, 21071, 2948, 30, 39207, 478, 45565, 470, 4167, 5773, 1176, 309, 9941, 1762, 3430, 680, 16, 3619, 11216, 16, 515, 37103, 2654, 282, 1789, 21796, 8657, 890, 18, 2046, 289, 282, 36725, 18164, 7586, 9904, 639, 22810, 30, 282, 3998, 8267, 12298, 37103, 3121, 39914, 478, 2997, 339, 17851, 1730, 17, 10245, 447, 470, 37911, 3551, 1896, 412, 2679, 397, 1624, 367, 6396, 1293, 1879, 45490, 2678, 16, 753, 9287, 2948, 46296, 726, 5815, 4966, 6729, 8129, 5269, 1624, 1011, 10687, 3121, 2024, 11216, 48659, 282, 31897, 2244, 360, 33973, 607, 18, 365, 5329, 282, 4056, 11053, 5790, 6159, 2837, 16432, 639, 309, 5939, 7646, 16, 515, 1215, 282, 9347, 4202, 9564, 873, 2200, 21680, 18249, 329, 7367, 18, 439, 567, 7422, 44056, 36861, 291, 873, 1472, 23621, 4207, 16, 2805, 282, 31277, 510, 2544, 560, 513, 700, 47431, 2458, 1472, 290, 5877, 289, 6847, 18, 985, 13391, 16, 6396, 2287, 1879, 1011, 2595, 11287, 16, 603, 2074, 2822, 290, 3998, 2992, 11678, 4466, 15014, 16337, 2948, 18, 24223, 451, 33583, 281, 27546, 16208, 486, 14943, 45695, 40921, 17192, 3121, 2076, 2345, 18935, 6434, 1388, 18, 459, 1011, 1763, 38120, 32657, 36861, 291, 873, 35027, 1375, 894, 18, 832, 5683, 289, 3437, 1879, 16, 428, 282, 42808, 478, 2997, 339, 17851, 1730, 17, 10245, 447, 470, 757, 39359, 1380, 289, 2992, 11216, 510, 3720, 391, 2707, 8863, 7730, 46244, 2234, 5335, 4652, 281, 2555, 4995, 16, 2686, 309, 1177, 445, 1789, 1866, 10157, 322, 9468, 292, 1475, 289, 282, 3099, 7237, 17386, 582, 13190, 364, 478, 560, 15796, 861, 5043, 16, 726, 282, 11671, 2913, 547, 1610, 11186, 322, 11453, 3389, 289, 23253, 778, 774, 34544, 30, 13158, 6434, 1388, 3404, 9871, 282, 10556, 668, 309, 18144, 2243, 343, 16, 1500, 22850, 1176, 309, 1176, 281, 19671, 628, 16, 45300, 271, 505, 289, 16, 294, 322, 9203, 7790, 825, 7398, 877, 25467, 16, 14070, 11216, 726, 282, 9600, 24362, 8999, 18, 385, 36006, 873, 575, 7737, 23621, 3493, 1472, 282, 5462, 582, 16, 289, 475, 575, 21648, 41701, 1176, 11216, 510, 7547, 317, 10667, 478, 370, 921, 811, 470, 3720, 44703, 3740, 18, 365, 3198, 2595, 2541, 20256, 381, 17147, 7977, 10750, 3064, 8955, 18164, 7586, 477, 12932, 491, 30, 21, 16, 367, 36861, 291, 873, 20915, 4577, 424, 3275, 4616, 539, 7709, 488, 3271, 478, 21695, 873, 17, 42359, 873, 4271, 6019, 16, 4101, 7005, 33296, 727, 682, 1098, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 289, 32462, 282, 14526, 19410, 942, 4897, 309, 7759, 4183, 40657, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5579, 17, 13825, 6347, 9480, 11969, 1743, 282, 4599, 327, 12476, 933, 22909, 16, 961, 16478, 2245, 4559, 10343, 8422, 7113, 7502, 2632, 39419, 342, 5136, 20797, 540, 18, 608, 335, 1991, 30081, 282, 4317, 3763, 2791, 18, 2326, 6182, 2942, 2986, 18322, 7092, 9872, 16, 1011, 1660, 697, 47416, 424, 7595, 3741, 18, 608, 2726, 1347, 40759, 19631, 371, 1684, 2557, 6371, 30056, 24483, 5472, 18, 31224, 30, 19571, 2118, 334, 6619, 290, 50128, 281, 10343, 8422, 34350, 7502, 8943, 4981, 14208, 718, 7502, 49061, 10185, 473, 688, 789, 1295, 6778, 12715, 11552, 8231, 334, 15970, 17, 18876, 1147, 10337, 1147, 26588, 473, 563, 1295, 18175, 814, 21003, 17490, 933, 994, 13499, 14380, 867, 16, 374, 9835, 1717, 411, 978, 5791, 15265, 20353 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6470, 686, 660, 9142, 478, 30323, 6795, 24468, 309, 2242, 671, 513, 1066, 2891, 282, 4008, 861, 41297, 1505, 8296, 13487, 282, 31755, 426, 3695, 3612, 18, 640, 39332, 19762, 6470, 686, 660, 10218, 965, 2252, 536, 18813, 4000, 309, 2849, 3193, 29277, 5439, 18, 2320, 27631, 2145, 289, 5906, 2044, 16101, 18, 35339, 1789, 554, 331, 22618, 16, 374, 322, 50234, 1595, 3059, 519, 9293, 1489, 1713, 2198, 975, 12783, 282, 1939, 4691, 1045, 16, 289, 8566, 6470, 264, 578, 262, 478, 429, 35857, 305, 761, 2145, 861, 3771, 44951, 1789, 554, 331, 428, 9272, 434, 4830, 31755, 1018, 18, 824, 3761, 6474, 574, 2794, 7257, 16, 349, 808, 29236, 1409, 17867, 1631, 31764, 16, 4518, 1135, 9100, 18, 2, 1, 87, 1456, 81, 2448, 30, 24775, 1880, 478, 45565, 470, 309, 26225, 773, 18, 625, 18, 9676, 10190, 14954, 558, 8469, 576, 8955, 1195, 478, 2997, 339, 17851, 2344, 17, 10245, 447, 861, 34230, 309, 1595, 2948, 6776, 414, 18935, 6434, 1388, 16, 10618, 18144, 2243, 273, 16, 367, 25236, 478, 45565, 470, 3720, 44703, 3740, 14212, 11216, 282, 1617, 8999, 18, 31224, 30, 24775, 1880, 478, 45565, 470, 282, 7192, 4019, 28220, 33296, 1175, 282, 5572, 25308, 913, 16, 2170, 13928, 424, 49624, 727, 682, 1098, 42100, 435, 478, 2997, 339, 17851, 888, 17, 10245, 447, 861, 23420, 281, 1614, 486, 1175, 510, 1176, 411, 10235, 41541, 309, 2019, 282, 15291, 552, 16, 290, 828, 2548, 289, 17834, 2452, 4966, 16, 7235, 364, 4990, 30775, 12525, 16, 1904, 38952, 23372, 2339, 965, 282, 7638, 17, 326, 1484, 16, 289, 7005, 4966, 510, 21166, 2497, 16259, 16197, 4015, 17823, 401, 282, 803, 11258, 329, 7367, 1472, 282, 3709, 8267, 510, 309, 36934, 2012, 296, 4929, 680, 478, 11356, 17, 32292, 2893, 470, 473, 21, 30, 23, 814, 1397, 575, 519, 478, 45565, 910, 502, 3187, 2234, 3216, 16, 282, 6588, 360, 1728, 22125, 21755, 16, 322, 895, 27103, 11209, 36894, 339, 3946, 3494, 32462, 16, 367, 282, 44200, 26083, 30377, 40599, 282, 8151, 18, 5043, 16, 289, 4380, 329, 18374, 17, 44606, 3964, 322, 4116, 1635, 265, 16, 428, 329, 9564, 1275, 18, 2046, 726, 942, 3111, 16, 374, 16, 4813, 309, 17622, 485, 7005, 16, 36861, 262, 321, 275, 873, 34300, 1634, 25467, 309, 32689, 18, 640, 35107, 281, 478, 2997, 339, 17851, 2344, 17, 10245, 447, 470, 3523, 10420, 4652, 5270, 2634, 15364, 473, 285, 533, 25467, 26070, 478, 45565, 470, 7182, 36385, 289, 567, 6477, 11815, 7586, 282, 34077, 25308, 913, 934, 281, 5606, 575, 1879, 24983, 1628, 324, 2339, 1634, 3898, 1275, 4024, 18, 8117, 9273, 291, 873, 16, 282, 1423, 3678, 16, 31592, 4490, 23564, 25467, 16, 20137, 773, 4506, 1330, 510, 21166, 2497, 18083, 688, 13562, 295, 1043, 11709, 40343, 16, 282, 20330, 464, 37358, 1650, 275, 329, 7889, 21755, 1293, 33903, 25592, 16, 282, 4810, 16, 12298, 25585, 18935, 6434, 1388, 289, 14013, 2263, 267, 1970, 18, 365, 8151, 3298, 429, 6096, 25414, 685, 4816, 289, 4521, 21071, 2948, 30, 39207, 478, 45565, 470, 4167, 5773, 1176, 309, 9941, 1762, 3430, 680, 16, 3619, 11216, 16, 515, 37103, 2654, 282, 1789, 21796, 8657, 890, 18, 2046, 289, 282, 36725, 18164, 7586, 9904, 639, 22810, 30, 282, 3998, 8267, 12298, 37103, 3121, 39914, 478, 2997, 339, 17851, 1730, 17, 10245, 447, 470, 37911, 3551, 1896, 412, 2679, 397, 1624, 367, 6396, 1293, 1879, 45490, 2678, 16, 753, 9287, 2948, 46296, 726, 5815, 4966, 6729, 8129, 5269, 1624, 1011, 10687, 3121, 2024, 11216, 48659, 282, 31897, 2244, 360, 33973, 607, 18, 365, 5329, 282, 4056, 11053, 5790, 6159, 2837, 16432, 639, 309, 5939, 7646, 16, 515, 1215, 282, 9347, 4202, 9564, 873, 2200, 21680, 18249, 329, 7367, 18, 439, 567, 7422, 44056, 36861, 291, 873, 1472, 23621, 4207, 16, 2805, 282, 31277, 510, 2544, 560, 513, 700, 47431, 2458, 1472, 290, 5877, 289, 6847, 18, 985, 13391, 16, 6396, 2287, 1879, 1011, 2595, 11287, 16, 603, 2074, 2822, 290, 3998, 2992, 11678, 4466, 15014, 16337, 2948, 18, 24223, 451, 33583, 281, 27546, 16208, 486, 14943, 45695, 40921, 17192, 3121, 2076, 2345, 18935, 6434, 1388, 18, 459, 1011, 1763, 38120, 32657, 36861, 291, 873, 35027, 1375, 894, 18, 832, 5683, 289, 3437, 1879, 16, 428, 282, 42808, 478, 2997, 339, 17851, 1730, 17, 10245, 447, 470, 757, 39359, 1380, 289, 2992, 11216, 510, 3720, 391, 2707, 8863, 7730, 46244, 2234, 5335, 4652, 281, 2555, 4995, 16, 2686, 309, 1177, 445, 1789, 1866, 10157, 322, 9468, 292, 1475, 289, 282, 3099, 7237, 17386, 582, 13190, 364, 478, 560, 15796, 861, 5043, 16, 726, 282, 11671, 2913, 547, 1610, 11186, 322, 11453, 3389, 289, 23253, 778, 774, 34544, 30, 13158, 6434, 1388, 3404, 9871, 282, 10556, 668, 309, 18144, 2243, 343, 16, 1500, 22850, 1176, 309, 1176, 281, 19671, 628, 16, 45300, 271, 505, 289, 16, 294, 322, 9203, 7790, 825, 7398, 877, 25467, 16, 14070, 11216, 726, 282, 9600, 24362, 8999, 18, 385, 36006, 873, 575, 7737, 23621, 3493, 1472, 282, 5462, 582, 16, 289, 475, 575, 21648, 41701, 1176, 11216, 510, 7547, 317, 10667, 478, 370, 921, 811, 470, 3720, 44703, 3740, 18, 365, 3198, 2595, 2541, 20256, 381, 17147, 7977, 10750, 3064, 8955, 18164, 7586, 477, 12932, 491, 30, 21, 16, 367, 36861, 291, 873, 20915, 4577, 424, 3275, 4616, 539, 7709, 488, 3271, 478, 21695, 873, 17, 42359, 873, 4271, 6019, 16, 4101, 7005, 33296, 727, 682, 1098, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 289, 32462, 282, 14526, 19410, 942, 4897, 309, 7759, 4183, 40657, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 5579, 17, 13825, 6347, 9480, 11969, 1743, 282, 4599, 327, 12476, 933, 22909, 16, 961, 16478, 2245, 4559, 10343, 8422, 7113, 7502, 2632, 39419, 342, 5136, 20797, 540, 18, 608, 335, 1991, 30081, 282, 4317, 3763, 2791, 18, 2326, 6182, 2942, 2986, 18322, 7092, 9872, 16, 1011, 1660, 697, 47416, 424, 7595, 3741, 18, 608, 2726, 1347, 40759, 19631, 371, 1684, 2557, 6371, 30056, 24483, 5472, 18, 31224, 30, 19571, 2118, 334, 6619, 290, 50128, 281, 10343, 8422, 34350, 7502, 8943, 4981, 14208, 718, 7502, 49061, 10185, 473, 688, 789, 1295, 6778, 12715, 11552, 8231, 334, 15970, 17, 18876, 1147, 10337, 1147, 26588, 473, 563, 1295, 18175, 814, 21003, 17490, 933, 994, 13499, 14380, 867, 16, 374, 9835, 1717, 411, 978, 5791, 15265, 20353 ]
[ 282, 37972, 9597, 18, 365, 10666, 688, 789, 1295, 21949, 3781, 17, 3484, 288, 16, 282, 2114, 3828, 381, 47043, 4623, 10343, 8422, 7113, 7502, 2632, 18, 478, 1140, 11724, 539, 1743, 18966, 1279, 327, 12476, 933, 22909, 16, 2412, 6379, 4532, 18341, 10343, 8422, 7113, 7502, 2632, 16, 510, 5130, 282, 9907, 18, 510, 2949, 924, 16, 374, 28822, 478, 486, 894, 451, 470, 8700, 44571, 389, 1952, 13771, 1157, 47416, 428, 6402, 13422, 688, 789, 1295, 16, 745, 21648, 21001, 8329, 289, 518, 575, 20498, 548, 32750, 46926, 2509, 31117, 289, 281, 5690, 411, 1129, 10469, 3604, 40338, 552, 18, 4185, 24564, 6940, 4957, 281, 8459, 35055, 16, 25935, 1157, 25529, 6985, 6549, 309, 8329, 289, 518, 575, 7502, 1250, 861, 999, 2592, 659, 1527, 2764, 37598, 6657, 282, 6031, 453, 289, 322, 5314, 887, 18, 1598, 691, 274, 3407, 282, 4542, 14160, 14724, 6048, 1807, 4522, 4490, 4621, 11253, 24774, 281, 590, 3736, 2435, 47859, 309, 351, 3462, 16, 15004, 292, 289, 1888, 2242, 9437, 16, 5130, 282, 3781, 17, 40048, 18, 365, 688, 789, 1295, 1038, 16170, 16, 374, 11969, 1743, 18966, 334, 327, 18, 1032, 422, 18, 50024, 11828, 2407, 473, 1024, 1235, 16253, 16, 43221, 36958, 14120, 670, 282, 7117, 27177, 9802, 934, 453, 428, 12642, 5809, 10929, 15597, 289, 1110, 575, 7502, 2632, 16323, 22909, 395, 18, 967, 23943, 4523, 13312, 18100, 973, 30081, 282, 4317, 5752, 2791, 18, 985, 9299, 7897, 478, 32485, 18, 8381, 470, 309, 688, 789, 1295, 16, 24420, 23082, 282, 7204, 10390, 7774, 4704, 322, 15018, 16, 453, 428, 4621, 2245, 2919, 2059, 22132, 42578, 2107, 18, 478, 22235, 3848, 4498, 3419, 381, 5842, 29842, 2596, 2498, 1751, 428, 2887, 7502, 49061, 10185, 16, 453, 289, 19504, 478, 28516, 342, 5136, 37679, 910, 2319, 492, 8034, 18, 3791, 942, 3111, 290, 25754, 11163, 13360, 8236, 263, 18, 3510, 870, 2241, 3005, 373, 10850, 23050, 13422, 8671, 329, 3662, 10185, 910, 510, 4725, 7897, 18, 824, 505, 3761, 16, 6604, 16134, 48819, 349, 3531, 10251, 298, 2508, 5936, 7502, 2632, 457, 17, 3420, 20, 289, 457, 17, 39775, 16, 961, 14591, 726, 322, 20515, 18, 824, 3163, 15479, 16, 6342, 4851, 13771, 1157, 11091, 414, 8138, 867, 16, 374, 47416, 8641, 6402, 13422, 334, 2792, 48462, 2509, 20456, 18, 478, 40806, 2388, 13228, 322, 24708, 18, 11780, 13518, 3623, 3255, 726, 8664, 12143, 1293, 8689, 43194, 910, 510, 4725, 492, 18, 4530, 867, 16, 428, 6442, 478, 46088, 18, 8381, 470, 282, 11552, 8231, 334, 385, 1295, 18175, 16, 11969, 1743, 334, 13229, 13771, 19637, 639, 18966, 764, 282, 11872, 978, 779, 289, 13391, 519, 4319, 1326, 14968, 18, 824, 3761, 11413, 16, 22973, 574, 289, 18165, 6187, 7024, 478, 618, 987, 347, 6657, 470, 6096, 28013, 45948, 1974, 281, 1629, 3317, 16, 13025, 39840, 448, 25099, 41457, 432, 5642, 289, 5172, 448, 478, 301, 696, 700, 470, 7934, 20498, 712, 16688, 6657, 16, 20353, 282, 2361, 411, 33247, 281, 42468, 40302, 424, 33127, 24637, 329, 7024, 478, 47018, 12193, 266, 470, 6566, 16482, 29672, 2909, 16688, 6657, 18, 478, 677, 1120, 22027, 1011, 15771, 427, 7253, 42578, 309, 8683, 451, 2948, 7024, 478, 47018, 12193, 266, 910, 5358, 2989, 12489, 5411, 6657, 16, 17788, 4076, 16, 49834, 46926, 1385, 25708, 33995, 16, 360, 10376, 16688, 6657, 16, 1220, 9037, 3049, 11502, 26333, 46926, 1385, 25102, 16, 3083, 9369, 910, 510, 6442, 4419, 282, 11552, 8231, 334, 385, 1295, 18175, 18, 3739, 282, 3998, 15140, 36560, 387, 31505, 13312, 309, 7512, 2364, 1912, 16, 24, 3763, 2791, 18, 2263, 28013, 45948, 685, 20817, 1939, 4160, 282, 4542, 12652, 416, 5722, 680, 6053, 16, 785, 639, 34377, 7109, 1684, 2449, 282, 8185, 432, 25441, 289, 309, 15772, 1165, 44247, 15744, 7024, 478, 47018, 12193, 266, 470, 289, 7024, 478, 618, 987, 347, 6657, 910, 367, 1038, 1760, 1684, 2449, 282, 5440, 13897, 6814, 1967, 22909, 18, 365, 4542, 1684, 820, 29966, 1157, 9884, 2853, 5270, 16482, 16688, 6657, 16, 39840, 448, 13207, 13257, 16688, 6657, 289, 46926, 1385, 7257, 16, 1033, 1939, 39840, 432, 29585, 712, 41457, 432, 5642, 289, 18811, 773, 5172, 432, 478, 301, 696, 280, 470, 7934, 20498, 712, 16688, 6657, 18, 832, 3567, 451, 6441, 7863, 1684, 1465, 13611, 2223, 289, 46331, 28013, 2659, 342, 16, 988, 36560, 11257, 6970, 39354, 25411, 300, 30056, 5946, 6617, 18, 365, 4810, 16, 329, 35330, 898, 39152, 276, 1421, 33377, 16, 1421, 23957, 457, 789, 16, 9234, 1286, 672, 7703, 281, 47406, 48374, 4963, 16, 9234, 17, 864, 1080, 305, 25874, 3583, 16, 9234, 478, 40846, 392, 277, 910, 9234, 17, 864, 1080, 305, 1034, 513, 14479, 473, 20170, 1464, 934, 1421, 23957, 309, 1709, 16, 1760, 46428, 727, 17, 21, 16, 1760, 41758, 46428, 727, 17, 21, 16, 1409, 48374, 1643, 16, 1939, 46428, 18480, 1009, 17, 23, 16, 1871, 41824, 42093, 6322, 16, 13718, 343, 5769, 991, 7194, 4981, 16, 367, 1038, 2452, 448, 2095, 9234, 291, 289, 25844, 291, 16, 37610, 28197, 16, 11139, 6464, 7875, 677, 789, 16, 32776, 17, 24, 289, 32776, 17, 9869, 16, 48629, 1464, 16, 378, 18819, 16, 13718, 368, 21021, 884, 16, 30426, 1009, 289, 385, 5246, 16, 23957, 478, 677, 433, 842, 48629, 910, 5502, 31256, 289, 26798, 16, 282, 970, 2875, 2252, 14425, 677, 18, 365, 2343, 4120, 3017, 14160, 334, 49605, 6619, 685, 1103, 637, 519, 3990, 3734, 779, 18, 28013, 45948, 334, 17, 6093, 3164, 424, 44649, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 798, 755, 17, 298, 2731, 343, 6147, 6260, 4048, 273, 5944, 1030, 847, 349, 11673, 32382, 16, 26495, 973, 749, 5245, 567, 808, 26369, 282, 5573, 333, 273, 1212, 43498, 18, 625, 12553, 19345, 37432, 44678, 35436, 2145, 478, 41245, 4048, 273, 5944, 470, 26054, 282, 10666, 5413, 281, 14852, 536, 17816, 4309, 329, 22378, 37971, 864, 287, 18, 34261, 32382, 32834, 749, 5245, 16, 764, 32074, 5684, 17336, 26711, 4996, 20249, 18, 31224, 30, 33929, 778, 35675, 6260, 4048, 273, 5944, 36229, 309, 26058, 281, 8187, 536, 46728, 3347, 35436, 2145, 8629, 715, 18, 37087, 1729, 6166, 41245, 4048, 273, 5944, 12235, 1029, 13334, 282, 6292, 505, 4576, 289, 22896, 18, 478, 41820, 488, 473, 32804, 6625, 4048, 13086, 324, 18, 510, 478, 18386, 18, 8381, 13, 289, 417, 1030, 5898, 349, 11673, 32382, 309, 11336, 46728 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 37972, 9597, 18, 365, 10666, 688, 789, 1295, 21949, 3781, 17, 3484, 288, 16, 282, 2114, 3828, 381, 47043, 4623, 10343, 8422, 7113, 7502, 2632, 18, 478, 1140, 11724, 539, 1743, 18966, 1279, 327, 12476, 933, 22909, 16, 2412, 6379, 4532, 18341, 10343, 8422, 7113, 7502, 2632, 16, 510, 5130, 282, 9907, 18, 510, 2949, 924, 16, 374, 28822, 478, 486, 894, 451, 470, 8700, 44571, 389, 1952, 13771, 1157, 47416, 428, 6402, 13422, 688, 789, 1295, 16, 745, 21648, 21001, 8329, 289, 518, 575, 20498, 548, 32750, 46926, 2509, 31117, 289, 281, 5690, 411, 1129, 10469, 3604, 40338, 552, 18, 4185, 24564, 6940, 4957, 281, 8459, 35055, 16, 25935, 1157, 25529, 6985, 6549, 309, 8329, 289, 518, 575, 7502, 1250, 861, 999, 2592, 659, 1527, 2764, 37598, 6657, 282, 6031, 453, 289, 322, 5314, 887, 18, 1598, 691, 274, 3407, 282, 4542, 14160, 14724, 6048, 1807, 4522, 4490, 4621, 11253, 24774, 281, 590, 3736, 2435, 47859, 309, 351, 3462, 16, 15004, 292, 289, 1888, 2242, 9437, 16, 5130, 282, 3781, 17, 40048, 18, 365, 688, 789, 1295, 1038, 16170, 16, 374, 11969, 1743, 18966, 334, 327, 18, 1032, 422, 18, 50024, 11828, 2407, 473, 1024, 1235, 16253, 16, 43221, 36958, 14120, 670, 282, 7117, 27177, 9802, 934, 453, 428, 12642, 5809, 10929, 15597, 289, 1110, 575, 7502, 2632, 16323, 22909, 395, 18, 967, 23943, 4523, 13312, 18100, 973, 30081, 282, 4317, 5752, 2791, 18, 985, 9299, 7897, 478, 32485, 18, 8381, 470, 309, 688, 789, 1295, 16, 24420, 23082, 282, 7204, 10390, 7774, 4704, 322, 15018, 16, 453, 428, 4621, 2245, 2919, 2059, 22132, 42578, 2107, 18, 478, 22235, 3848, 4498, 3419, 381, 5842, 29842, 2596, 2498, 1751, 428, 2887, 7502, 49061, 10185, 16, 453, 289, 19504, 478, 28516, 342, 5136, 37679, 910, 2319, 492, 8034, 18, 3791, 942, 3111, 290, 25754, 11163, 13360, 8236, 263, 18, 3510, 870, 2241, 3005, 373, 10850, 23050, 13422, 8671, 329, 3662, 10185, 910, 510, 4725, 7897, 18, 824, 505, 3761, 16, 6604, 16134, 48819, 349, 3531, 10251, 298, 2508, 5936, 7502, 2632, 457, 17, 3420, 20, 289, 457, 17, 39775, 16, 961, 14591, 726, 322, 20515, 18, 824, 3163, 15479, 16, 6342, 4851, 13771, 1157, 11091, 414, 8138, 867, 16, 374, 47416, 8641, 6402, 13422, 334, 2792, 48462, 2509, 20456, 18, 478, 40806, 2388, 13228, 322, 24708, 18, 11780, 13518, 3623, 3255, 726, 8664, 12143, 1293, 8689, 43194, 910, 510, 4725, 492, 18, 4530, 867, 16, 428, 6442, 478, 46088, 18, 8381, 470, 282, 11552, 8231, 334, 385, 1295, 18175, 16, 11969, 1743, 334, 13229, 13771, 19637, 639, 18966, 764, 282, 11872, 978, 779, 289, 13391, 519, 4319, 1326, 14968, 18, 824, 3761, 11413, 16, 22973, 574, 289, 18165, 6187, 7024, 478, 618, 987, 347, 6657, 470, 6096, 28013, 45948, 1974, 281, 1629, 3317, 16, 13025, 39840, 448, 25099, 41457, 432, 5642, 289, 5172, 448, 478, 301, 696, 700, 470, 7934, 20498, 712, 16688, 6657, 16, 20353, 282, 2361, 411, 33247, 281, 42468, 40302, 424, 33127, 24637, 329, 7024, 478, 47018, 12193, 266, 470, 6566, 16482, 29672, 2909, 16688, 6657, 18, 478, 677, 1120, 22027, 1011, 15771, 427, 7253, 42578, 309, 8683, 451, 2948, 7024, 478, 47018, 12193, 266, 910, 5358, 2989, 12489, 5411, 6657, 16, 17788, 4076, 16, 49834, 46926, 1385, 25708, 33995, 16, 360, 10376, 16688, 6657, 16, 1220, 9037, 3049, 11502, 26333, 46926, 1385, 25102, 16, 3083, 9369, 910, 510, 6442, 4419, 282, 11552, 8231, 334, 385, 1295, 18175, 18, 3739, 282, 3998, 15140, 36560, 387, 31505, 13312, 309, 7512, 2364, 1912, 16, 24, 3763, 2791, 18, 2263, 28013, 45948, 685, 20817, 1939, 4160, 282, 4542, 12652, 416, 5722, 680, 6053, 16, 785, 639, 34377, 7109, 1684, 2449, 282, 8185, 432, 25441, 289, 309, 15772, 1165, 44247, 15744, 7024, 478, 47018, 12193, 266, 470, 289, 7024, 478, 618, 987, 347, 6657, 910, 367, 1038, 1760, 1684, 2449, 282, 5440, 13897, 6814, 1967, 22909, 18, 365, 4542, 1684, 820, 29966, 1157, 9884, 2853, 5270, 16482, 16688, 6657, 16, 39840, 448, 13207, 13257, 16688, 6657, 289, 46926, 1385, 7257, 16, 1033, 1939, 39840, 432, 29585, 712, 41457, 432, 5642, 289, 18811, 773, 5172, 432, 478, 301, 696, 280, 470, 7934, 20498, 712, 16688, 6657, 18, 832, 3567, 451, 6441, 7863, 1684, 1465, 13611, 2223, 289, 46331, 28013, 2659, 342, 16, 988, 36560, 11257, 6970, 39354, 25411, 300, 30056, 5946, 6617, 18, 365, 4810, 16, 329, 35330, 898, 39152, 276, 1421, 33377, 16, 1421, 23957, 457, 789, 16, 9234, 1286, 672, 7703, 281, 47406, 48374, 4963, 16, 9234, 17, 864, 1080, 305, 25874, 3583, 16, 9234, 478, 40846, 392, 277, 910, 9234, 17, 864, 1080, 305, 1034, 513, 14479, 473, 20170, 1464, 934, 1421, 23957, 309, 1709, 16, 1760, 46428, 727, 17, 21, 16, 1760, 41758, 46428, 727, 17, 21, 16, 1409, 48374, 1643, 16, 1939, 46428, 18480, 1009, 17, 23, 16, 1871, 41824, 42093, 6322, 16, 13718, 343, 5769, 991, 7194, 4981, 16, 367, 1038, 2452, 448, 2095, 9234, 291, 289, 25844, 291, 16, 37610, 28197, 16, 11139, 6464, 7875, 677, 789, 16, 32776, 17, 24, 289, 32776, 17, 9869, 16, 48629, 1464, 16, 378, 18819, 16, 13718, 368, 21021, 884, 16, 30426, 1009, 289, 385, 5246, 16, 23957, 478, 677, 433, 842, 48629, 910, 5502, 31256, 289, 26798, 16, 282, 970, 2875, 2252, 14425, 677, 18, 365, 2343, 4120, 3017, 14160, 334, 49605, 6619, 685, 1103, 637, 519, 3990, 3734, 779, 18, 28013, 45948, 334, 17, 6093, 3164, 424, 44649, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 798, 755, 17, 298, 2731, 343, 6147, 6260, 4048, 273, 5944, 1030, 847, 349, 11673, 32382, 16, 26495, 973, 749, 5245, 567, 808, 26369, 282, 5573, 333, 273, 1212, 43498, 18, 625, 12553, 19345, 37432, 44678, 35436, 2145, 478, 41245, 4048, 273, 5944, 470, 26054, 282, 10666, 5413, 281, 14852, 536, 17816, 4309, 329, 22378, 37971, 864, 287, 18, 34261, 32382, 32834, 749, 5245, 16, 764, 32074, 5684, 17336, 26711, 4996, 20249, 18, 31224, 30, 33929, 778, 35675, 6260, 4048, 273, 5944, 36229, 309, 26058, 281, 8187, 536, 46728, 3347, 35436, 2145, 8629, 715, 18, 37087, 1729, 6166, 41245, 4048, 273, 5944, 12235, 1029, 13334, 282, 6292, 505, 4576, 289, 22896, 18, 478, 41820, 488, 473, 32804, 6625, 4048, 13086, 324, 18, 510, 478, 18386, 18, 8381, 13, 289, 417, 1030, 5898, 349, 11673, 32382, 309, 11336, 46728 ]
[ 613, 478, 41245, 4048, 273, 5944, 470, 289, 2202, 24286, 8203, 615, 17, 39842, 6832, 19171, 395, 349, 2768, 18, 21484, 24286, 349, 2768, 8203, 615, 17, 39842, 5418, 3541, 910, 510, 6463, 35675, 360, 17240, 439, 3394, 853, 282, 43287, 18, 10110, 2145, 36176, 28565, 2815, 16, 374, 505, 478, 12551, 289, 20428, 510, 281, 43805, 5420, 1082, 309, 11336, 478, 14008, 4048, 13086, 324, 225, 861, 47092, 353, 6147, 8539, 55, 8629, 715, 18, 37087, 1729, 473, 273, 5735, 7434, 1130, 40, 43, 17, 10207, 934, 13334, 451, 282, 6292, 1949, 48420, 1388, 11604, 23990, 25045, 11908, 16, 26054, 281, 5397, 2509, 1551, 547, 294, 36444, 360, 5573, 333, 273, 718, 19604, 342, 18, 1367, 803, 3828, 12117, 35777, 1409, 17, 361, 11604, 35436, 2145, 282, 43287, 18, 365, 44743, 1551, 547, 4167, 39724, 17816, 320, 3783, 82, 658, 860, 39, 16, 17951, 1510, 424, 39790, 2151, 636, 950, 18, 365, 2083, 26369, 13205, 12681, 7554, 1727, 7831, 282, 4148, 37971, 864, 287, 18, 365, 1286, 18, 5493, 334, 11016, 509, 2818, 1612, 473, 646, 18, 5493, 21014, 13, 18993, 353, 6147, 3619, 43988, 1040, 918, 16, 515, 10117, 17168, 30370, 44666, 7557, 18, 34261, 32382, 32834, 749, 5245, 16, 764, 32074, 5684, 17336, 18, 20876, 262, 18581, 898, 20508, 6025, 282, 13335, 37971, 864, 287, 16, 697, 1354, 6535, 1844, 9461, 18, 3739, 6661, 36720, 272, 3961, 906, 4483, 324, 309, 11336, 46728, 613, 18, 7758, 19171, 478, 10594, 853, 4048, 13086, 324, 470, 41105, 816, 8081, 1135, 18, 640, 3961, 46728, 1159, 898, 5019, 2106, 15760, 4275, 486, 21013, 1133, 3402, 42943, 10107, 289, 11604, 510, 11517, 1075, 18227, 34364, 2186, 289, 951, 19972, 657, 5731, 3777, 18, 385, 7097, 349, 41249, 25829, 12681, 6413, 17, 2499, 551, 10075, 1822, 860, 58, 17, 5759, 1621, 7828, 20162, 289, 16927, 715, 44, 17, 5584, 55, 34480, 32375, 79, 18, 439, 35667, 451, 5854, 35436, 2145, 2815, 9577, 1918, 44938, 1624, 374, 29745, 519, 20393, 8539, 55, 8629, 715, 18, 37087, 1729, 9724, 41191, 1790, 8554, 16, 515, 22067, 622, 906, 15313, 798, 18, 3783, 82, 658, 860, 39, 16, 396, 23074, 307, 1779, 40194, 46728, 613, 16, 7462, 364, 2364, 1912, 4500, 18, 7833, 16047, 29873, 18, 608, 464, 1645, 13429, 282, 18638, 1055, 322, 34320, 18, 457, 2430, 320, 473, 2692, 23, 308, 282, 21955, 13, 3619, 13373, 4793, 19082, 18, 11561, 1310, 300, 44461, 3110, 16, 374, 16546, 322, 639, 3118, 32243, 1569, 18, 5585, 342, 5398, 37971, 864, 287, 1623, 2059, 411, 3322, 12625, 432, 289, 13624, 282, 30681, 40537, 18, 4988, 27698, 14872, 2364, 23523, 7043, 4447, 7438, 289, 10960, 18, 889, 11464, 36213, 281, 12070, 13279, 9322, 7295, 349, 4101, 1272, 5196, 18, 4926, 1960, 32382, 9100, 16, 785, 18993, 353, 6147, 8539, 55, 1149, 27292, 20469, 13163, 6166, 1182, 9052, 29842, 1940, 280, 861, 510, 478, 18386, 18, 8381, 9979, 33140, 21371, 22185, 282, 43170, 34888, 10440, 18, 727, 2362, 2145, 309, 13519, 11056, 14212, 282, 16294, 1949, 25316, 12946, 289, 15294, 2384, 3080, 411, 4966, 478, 1182, 9052, 29842, 1940, 347, 861, 13630, 48940, 46728, 613, 6401, 1007, 3541, 6216, 385, 2761, 16310, 11604, 2145, 16, 6170, 435, 377, 9104, 282, 10440, 18, 47092, 3841, 873, 11604, 15373, 30539, 15273, 1240, 9071, 695, 45189, 718, 5791, 18, 4756, 282, 11872, 12681, 7554, 2145, 478, 41245, 385, 18, 4048, 273, 5944, 470, 6382, 282, 32178, 20916, 360, 33454, 32137, 7754, 282, 2886, 432, 34888, 32312, 17, 40050, 718, 5420, 18, 889, 18749, 19427, 477, 1963, 29802, 11944, 16, 961, 34856, 22154, 282, 1758, 5620, 27063, 49135, 871, 11612, 289, 12672, 3018, 18, 26966, 5854, 15310, 7796, 1552, 25198, 528, 2817, 14708, 363, 2815, 16, 374, 13759, 394, 13279, 46728, 613, 5179, 19232, 4246, 1155, 326, 282, 32312, 17, 40050, 1212, 4993, 749, 9959, 5439, 25198, 6474, 15152, 318, 18, 385, 4947, 4611, 3873, 8053, 20383, 48313, 1195, 39942, 3924, 391, 4920, 669, 289, 25670, 2545, 294, 3130, 22379, 2331, 14636, 2429, 315, 9914, 10939, 306, 18, 2046, 37681, 25836, 11531, 3236, 2107, 4947, 4611, 309, 49405, 18, 985, 14083, 769, 22471, 18045, 16, 282, 32312, 17, 40050, 1212, 4993, 322, 4983, 1329, 2900, 16, 374, 35436, 2145, 3005, 373, 281, 10437, 32567, 2378, 536, 670, 7634, 14080, 3276, 18, 25652, 17, 15975, 25246, 11624, 13104, 11604, 2145, 26018, 13678, 297, 1496, 2323, 16, 374, 475, 6053, 11604, 478, 40953, 1886, 282, 5118, 281, 22647, 12233, 289, 46980, 16, 374, 3402, 23990, 25045, 1747, 23322, 16, 38873, 289, 8714, 8856, 16, 988, 41709, 45384, 2990, 861, 30781, 2798, 548, 1251, 2145, 289, 38979, 282, 7204, 6615, 5058, 913, 2458, 2702, 2483, 1116, 31342, 18, 7758, 5004, 2158, 44140, 289, 9637, 11517, 11612, 6547, 28242, 2689, 2818, 46728, 1159, 8539, 55, 2109, 980, 14483, 16, 1029, 749, 9959, 3873, 8053, 8519, 282, 22379, 14036, 2886, 432, 19232, 2901, 669, 473, 43420, 12887, 1133, 7754, 13, 282, 32312, 17, 40050, 1212, 4993, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 1117, 468, 28799, 9620, 18491, 1247, 322, 687, 290, 9878, 520, 42091, 16, 515, 381, 1720, 798, 876, 1809, 9212, 11811, 6876, 3281, 2553, 18, 31224, 30, 10245, 377, 1340, 10750, 4110, 17325, 28799, 9001, 9620, 519, 15513, 432, 282, 5975, 808, 1741, 1690, 18, 41987, 347, 17, 19875, 10050, 1624, 374, 5630, 16738, 29017, 373, 309, 18009, 4738, 408, 10296, 349, 20420, 4830, 282, 9878, 1045, 4896, 9817, 9, 1279, 6603, 9, 282, 11023, 16, 9690, 9, 282, 12354, 289, 4317, 9, 8802, 6705, 779, 18, 31768, 468, 8084, 18, 30205, 280, 895, 15177, 506, 473, 886, 2158, 16, 309, 21539, 10296, 1032, 3990, 4018, 17, 361, 349, 9620, 36695, 19595, 16, 26, 7418, 282, 11500, 7520, 17, 361, 510, 24110, 16, 8914, 21956, 8859, 1542, 1479, 1063, 4521, 322, 4573, 840, 474, 21266, 18, 29832, 360, 5032, 519, 19376, 3884, 1211, 371, 4729, 4190, 20010, 282, 11970, 7540, 16, 367, 8468, 4362, 475, 1143, 18, 8117, 923, 468, 7234, 16, 6591, 34530, 16, 17117, 29469, 6457, 1195, 24547, 3224, 16680, 557, 2661, 4011, 30149, 1489, 8410, 8314, 510, 475, 481, 3147, 895, 289, 2915, 18908, 309, 12998, 3173, 26938, 9620, 18, 14247, 8590, 553, 48540, 1133, 6569, 19547, 282, 14777, 23070, 603, 5136, 582, 294, 267, 1569, 47002, 1290, 16, 23479, 294, 14606, 26608, 1703, 26410, 6086, 289, 10364 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 613, 478, 41245, 4048, 273, 5944, 470, 289, 2202, 24286, 8203, 615, 17, 39842, 6832, 19171, 395, 349, 2768, 18, 21484, 24286, 349, 2768, 8203, 615, 17, 39842, 5418, 3541, 910, 510, 6463, 35675, 360, 17240, 439, 3394, 853, 282, 43287, 18, 10110, 2145, 36176, 28565, 2815, 16, 374, 505, 478, 12551, 289, 20428, 510, 281, 43805, 5420, 1082, 309, 11336, 478, 14008, 4048, 13086, 324, 225, 861, 47092, 353, 6147, 8539, 55, 8629, 715, 18, 37087, 1729, 473, 273, 5735, 7434, 1130, 40, 43, 17, 10207, 934, 13334, 451, 282, 6292, 1949, 48420, 1388, 11604, 23990, 25045, 11908, 16, 26054, 281, 5397, 2509, 1551, 547, 294, 36444, 360, 5573, 333, 273, 718, 19604, 342, 18, 1367, 803, 3828, 12117, 35777, 1409, 17, 361, 11604, 35436, 2145, 282, 43287, 18, 365, 44743, 1551, 547, 4167, 39724, 17816, 320, 3783, 82, 658, 860, 39, 16, 17951, 1510, 424, 39790, 2151, 636, 950, 18, 365, 2083, 26369, 13205, 12681, 7554, 1727, 7831, 282, 4148, 37971, 864, 287, 18, 365, 1286, 18, 5493, 334, 11016, 509, 2818, 1612, 473, 646, 18, 5493, 21014, 13, 18993, 353, 6147, 3619, 43988, 1040, 918, 16, 515, 10117, 17168, 30370, 44666, 7557, 18, 34261, 32382, 32834, 749, 5245, 16, 764, 32074, 5684, 17336, 18, 20876, 262, 18581, 898, 20508, 6025, 282, 13335, 37971, 864, 287, 16, 697, 1354, 6535, 1844, 9461, 18, 3739, 6661, 36720, 272, 3961, 906, 4483, 324, 309, 11336, 46728, 613, 18, 7758, 19171, 478, 10594, 853, 4048, 13086, 324, 470, 41105, 816, 8081, 1135, 18, 640, 3961, 46728, 1159, 898, 5019, 2106, 15760, 4275, 486, 21013, 1133, 3402, 42943, 10107, 289, 11604, 510, 11517, 1075, 18227, 34364, 2186, 289, 951, 19972, 657, 5731, 3777, 18, 385, 7097, 349, 41249, 25829, 12681, 6413, 17, 2499, 551, 10075, 1822, 860, 58, 17, 5759, 1621, 7828, 20162, 289, 16927, 715, 44, 17, 5584, 55, 34480, 32375, 79, 18, 439, 35667, 451, 5854, 35436, 2145, 2815, 9577, 1918, 44938, 1624, 374, 29745, 519, 20393, 8539, 55, 8629, 715, 18, 37087, 1729, 9724, 41191, 1790, 8554, 16, 515, 22067, 622, 906, 15313, 798, 18, 3783, 82, 658, 860, 39, 16, 396, 23074, 307, 1779, 40194, 46728, 613, 16, 7462, 364, 2364, 1912, 4500, 18, 7833, 16047, 29873, 18, 608, 464, 1645, 13429, 282, 18638, 1055, 322, 34320, 18, 457, 2430, 320, 473, 2692, 23, 308, 282, 21955, 13, 3619, 13373, 4793, 19082, 18, 11561, 1310, 300, 44461, 3110, 16, 374, 16546, 322, 639, 3118, 32243, 1569, 18, 5585, 342, 5398, 37971, 864, 287, 1623, 2059, 411, 3322, 12625, 432, 289, 13624, 282, 30681, 40537, 18, 4988, 27698, 14872, 2364, 23523, 7043, 4447, 7438, 289, 10960, 18, 889, 11464, 36213, 281, 12070, 13279, 9322, 7295, 349, 4101, 1272, 5196, 18, 4926, 1960, 32382, 9100, 16, 785, 18993, 353, 6147, 8539, 55, 1149, 27292, 20469, 13163, 6166, 1182, 9052, 29842, 1940, 280, 861, 510, 478, 18386, 18, 8381, 9979, 33140, 21371, 22185, 282, 43170, 34888, 10440, 18, 727, 2362, 2145, 309, 13519, 11056, 14212, 282, 16294, 1949, 25316, 12946, 289, 15294, 2384, 3080, 411, 4966, 478, 1182, 9052, 29842, 1940, 347, 861, 13630, 48940, 46728, 613, 6401, 1007, 3541, 6216, 385, 2761, 16310, 11604, 2145, 16, 6170, 435, 377, 9104, 282, 10440, 18, 47092, 3841, 873, 11604, 15373, 30539, 15273, 1240, 9071, 695, 45189, 718, 5791, 18, 4756, 282, 11872, 12681, 7554, 2145, 478, 41245, 385, 18, 4048, 273, 5944, 470, 6382, 282, 32178, 20916, 360, 33454, 32137, 7754, 282, 2886, 432, 34888, 32312, 17, 40050, 718, 5420, 18, 889, 18749, 19427, 477, 1963, 29802, 11944, 16, 961, 34856, 22154, 282, 1758, 5620, 27063, 49135, 871, 11612, 289, 12672, 3018, 18, 26966, 5854, 15310, 7796, 1552, 25198, 528, 2817, 14708, 363, 2815, 16, 374, 13759, 394, 13279, 46728, 613, 5179, 19232, 4246, 1155, 326, 282, 32312, 17, 40050, 1212, 4993, 749, 9959, 5439, 25198, 6474, 15152, 318, 18, 385, 4947, 4611, 3873, 8053, 20383, 48313, 1195, 39942, 3924, 391, 4920, 669, 289, 25670, 2545, 294, 3130, 22379, 2331, 14636, 2429, 315, 9914, 10939, 306, 18, 2046, 37681, 25836, 11531, 3236, 2107, 4947, 4611, 309, 49405, 18, 985, 14083, 769, 22471, 18045, 16, 282, 32312, 17, 40050, 1212, 4993, 322, 4983, 1329, 2900, 16, 374, 35436, 2145, 3005, 373, 281, 10437, 32567, 2378, 536, 670, 7634, 14080, 3276, 18, 25652, 17, 15975, 25246, 11624, 13104, 11604, 2145, 26018, 13678, 297, 1496, 2323, 16, 374, 475, 6053, 11604, 478, 40953, 1886, 282, 5118, 281, 22647, 12233, 289, 46980, 16, 374, 3402, 23990, 25045, 1747, 23322, 16, 38873, 289, 8714, 8856, 16, 988, 41709, 45384, 2990, 861, 30781, 2798, 548, 1251, 2145, 289, 38979, 282, 7204, 6615, 5058, 913, 2458, 2702, 2483, 1116, 31342, 18, 7758, 5004, 2158, 44140, 289, 9637, 11517, 11612, 6547, 28242, 2689, 2818, 46728, 1159, 8539, 55, 2109, 980, 14483, 16, 1029, 749, 9959, 3873, 8053, 8519, 282, 22379, 14036, 2886, 432, 19232, 2901, 669, 473, 43420, 12887, 1133, 7754, 13, 282, 32312, 17, 40050, 1212, 4993, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 1117, 468, 28799, 9620, 18491, 1247, 322, 687, 290, 9878, 520, 42091, 16, 515, 381, 1720, 798, 876, 1809, 9212, 11811, 6876, 3281, 2553, 18, 31224, 30, 10245, 377, 1340, 10750, 4110, 17325, 28799, 9001, 9620, 519, 15513, 432, 282, 5975, 808, 1741, 1690, 18, 41987, 347, 17, 19875, 10050, 1624, 374, 5630, 16738, 29017, 373, 309, 18009, 4738, 408, 10296, 349, 20420, 4830, 282, 9878, 1045, 4896, 9817, 9, 1279, 6603, 9, 282, 11023, 16, 9690, 9, 282, 12354, 289, 4317, 9, 8802, 6705, 779, 18, 31768, 468, 8084, 18, 30205, 280, 895, 15177, 506, 473, 886, 2158, 16, 309, 21539, 10296, 1032, 3990, 4018, 17, 361, 349, 9620, 36695, 19595, 16, 26, 7418, 282, 11500, 7520, 17, 361, 510, 24110, 16, 8914, 21956, 8859, 1542, 1479, 1063, 4521, 322, 4573, 840, 474, 21266, 18, 29832, 360, 5032, 519, 19376, 3884, 1211, 371, 4729, 4190, 20010, 282, 11970, 7540, 16, 367, 8468, 4362, 475, 1143, 18, 8117, 923, 468, 7234, 16, 6591, 34530, 16, 17117, 29469, 6457, 1195, 24547, 3224, 16680, 557, 2661, 4011, 30149, 1489, 8410, 8314, 510, 475, 481, 3147, 895, 289, 2915, 18908, 309, 12998, 3173, 26938, 9620, 18, 14247, 8590, 553, 48540, 1133, 6569, 19547, 282, 14777, 23070, 603, 5136, 582, 294, 267, 1569, 47002, 1290, 16, 23479, 294, 14606, 26608, 1703, 26410, 6086, 289, 10364 ]
[ 476, 29922, 478, 4654, 900, 1734, 13582, 861, 2046, 1844, 6099, 360, 924, 16, 840, 520, 34855, 478, 29172, 662, 4048, 1136, 2679, 4654, 470, 541, 17926, 23587, 44425, 2891, 1624, 1247, 381, 11811, 12925, 510, 374, 541, 722, 24791, 16, 374, 541, 722, 478, 24849, 2005, 470, 289, 17926, 282, 22515, 11030, 11805, 13629, 510, 840, 10916, 18, 459, 3059, 380, 454, 16, 3387, 12760, 1880, 4577, 541, 4075, 978, 6356, 2701, 4581, 473, 22664, 3118, 38011, 9069, 934, 5702, 687, 1272, 3427, 541, 924, 16, 753, 8830, 6730, 18, 889, 11341, 451, 16, 478, 782, 3169, 1602, 17, 16795, 6948, 22009, 470, 1480, 15974, 43108, 617, 23587, 30870, 282, 4837, 2954, 289, 16308, 549, 11268, 18, 378, 4634, 520, 5494, 309, 26214, 38011, 27457, 3453, 965, 289, 6905, 12402, 16707, 510, 1247, 45265, 18, 1591, 9701, 1750, 16, 935, 19567, 11426, 549, 20889, 282, 4459, 27465, 11919, 9391, 726, 16311, 697, 3147, 46780, 869, 5860, 5559, 282, 970, 16712, 16, 374, 478, 431, 1313, 1299, 481, 7782, 862, 861, 1397, 575, 5327, 16308, 416, 6569, 16, 502, 1085, 373, 537, 21035, 282, 8384, 349, 42685, 8647, 7626, 473, 404, 453, 4748, 282, 7204, 1750, 935, 502, 16, 3253, 678, 24317, 309, 24118, 670, 722, 3336, 21538, 934, 329, 1710, 912, 2197, 30945, 24353, 30, 519, 1110, 1326, 1055, 453, 2232, 322, 2397, 15465, 16, 678, 895, 21581, 1582, 47816, 778, 4004, 16, 515, 322, 2397, 7658, 20163, 309, 10645, 282, 43444, 7866, 750, 18, 985, 687, 10012, 5222, 510, 16171, 309, 10645, 282, 10035, 8384, 6764, 467, 16, 367, 1215, 4380, 289, 8266, 36163, 282, 7549, 1545, 16, 282, 18671, 1750, 9982, 4797, 16, 367, 282, 2903, 2529, 1841, 10573, 17853, 294, 3818, 36359, 11922, 15185, 9766, 3537, 41399, 18, 6682, 924, 16, 12697, 2900, 15465, 309, 4625, 8643, 294, 6764, 1433, 3537, 41718, 282, 478, 2499, 4574, 1144, 432, 470, 11065, 9251, 483, 1165, 510, 1139, 12745, 16, 428, 1078, 309, 17019, 18, 24593, 409, 322, 7664, 355, 16, 515, 11165, 22544, 2206, 473, 267, 9752, 6905, 12634, 382, 13, 1373, 13717, 6441, 7426, 10144, 282, 9893, 18, 3782, 675, 19382, 4903, 451, 1440, 451, 9350, 473, 2824, 282, 43444, 34325, 16, 374, 282, 16211, 13, 8768, 16, 9458, 4448, 281, 25120, 1251, 41702, 8972, 2389, 16, 32483, 18326, 1756, 3356, 9885, 3095, 825, 12419, 272, 392, 16, 33341, 17048, 289, 37183, 14073, 3537, 326, 1100, 528, 1549, 435, 16, 1717, 16308, 668, 13354, 289, 1221, 9935, 3326, 282, 3106, 1728, 8300, 45515, 18, 8859, 481, 322, 1139, 18326, 1756, 510, 12419, 1152, 23854, 19833, 2205, 16, 1715, 3077, 451, 50036, 27914, 1279, 19568, 11228, 4546, 13653, 289, 12959, 18, 1012, 10475, 17450, 4167, 5482, 18, 8353, 27914, 11065, 5910, 28269, 6016, 30, 745, 6354, 6125, 15466, 1066, 1279, 4200, 3174, 18, 832, 16053, 16, 374, 697, 6272, 448, 17406, 917, 38732, 400, 918, 16, 4748, 473, 12833, 1129, 13, 687, 2361, 510, 24575, 10035, 4497, 297, 17858, 750, 18, 365, 3198, 16308, 451, 3537, 41399, 528, 1549, 435, 289, 19197, 3537, 31743, 1162, 30904, 16, 309, 1754, 687, 289, 1698, 24405, 506, 5762, 839, 289, 835, 839, 9893, 16, 30850, 3066, 749, 13711, 15981, 18, 365, 2759, 4096, 16, 282, 1754, 5762, 839, 289, 835, 839, 3402, 3097, 548, 3960, 4623, 43299, 2087, 16, 16308, 549, 11268, 16, 12563, 1079, 15465, 16, 5988, 434, 334, 453, 12096, 47240, 281, 528, 1549, 435, 16, 289, 749, 4696, 3207, 373, 16, 309, 8011, 3585, 626, 10250, 40043, 871, 29033, 16, 4751, 322, 2708, 1527, 16, 367, 502, 289, 6228, 7005, 18, 740, 374, 971, 35, 16589, 614, 277, 289, 17726, 12560, 322, 282, 4349, 14476, 9318, 5348, 16, 367, 7938, 5348, 16, 7052, 274, 3308, 1217, 40675, 9649, 2257, 24294, 2804, 16, 5219, 274, 4851, 687, 7107, 9125, 1279, 10108, 43984, 47889, 16, 15622, 953, 322, 895, 18, 4707, 648, 41987, 347, 17, 19875, 367, 1696, 322, 687, 13639, 2712, 13965, 40043, 871, 478, 370, 613, 21417, 470, 510, 505, 33176, 15567, 548, 764, 289, 334, 17, 6093, 322, 15083, 935, 14841, 343, 48967, 18, 889, 510, 6295, 322, 282, 4356, 9620, 473, 21464, 347, 2822, 14057, 16, 6416, 293, 548, 10977, 48967, 934, 515, 289, 322, 282, 4356, 505, 21680, 2155, 18, 1253, 510, 282, 4356, 1110, 16, 1085, 478, 431, 40397, 5432, 8055, 861, 2787, 912, 567, 6377, 18, 2, 1, 87, 1456, 81, 2448, 30, 983, 6316, 2750, 1858, 26579, 26697, 309, 17313, 26476, 18, 640, 1177, 445, 29263, 29569, 11453, 2153, 4843, 22, 5096, 18, 36727, 9887, 2750, 322, 34745, 935, 282, 10544, 6477, 18, 967, 803, 9887, 2750, 726, 2879, 23892, 16755, 16336, 2364, 4843, 3420, 5096, 289, 322, 3147, 6218, 16, 5870, 1450, 334, 26246, 46908, 43004, 4103, 18, 31224, 30, 47776, 3281, 15783, 24905, 281, 1533, 4238, 5790, 281, 41754, 2661, 16, 40172, 1158, 1147, 3043, 11188, 1087, 348, 49122, 1437, 16, 3828, 6080, 478, 13261, 470, 7897, 282, 31002, 30000, 18, 824, 505, 3163, 16, 17652, 9974, 8192, 282, 7044, 289, 2145, 18, 365, 6099, 360, 16296, 2466, 8468, 16, 7065, 895, 23826, 4256, 1123, 564, 15067, 700, 282, 3607, 2244, 16, 367, 1038, 13079, 2678, 8712, 3437, 1123, 1608, 49857, 282, 44222, 42858, 16, 19134, 334, 3279, 1747, 30351, 282, 3607, 2244, 18, 23412, 8943, 3631, 530, 769, 41706, 289, 1075, 69, 22999, 73, 550, 534, 18, 20439, 3281, 15783, 510, 12501, 8115, 15185, 3281, 8193, 16, 6065, 282, 5118, 281, 45293, 4830, 282, 12938, 4440, 779, 18, 46996, 5326, 8709, 19341, 4199, 18034, 289, 29996, 7065, 45638, 18, 31434, 15429, 1087, 296, 1000, 297, 309, 17313, 26476, 4770, 15783, 3720, 24307, 22342, 300, 2200, 45293, 4855, 6427, 28, 478, 630, 6244, 5535, 17313, 9759, 6146, 3536, 910, 5524, 6279, 282, 2343, 6705, 779, 18, 16928, 918, 12350, 8197, 282, 11826, 17, 2932, 2932, 6206, 309, 17313, 26476, 1087, 348, 49122, 1437, 309, 7512, 16, 39232, 668, 4843, 22, 5096, 16, 8977, 4419, 3781, 17, 9952, 49296, 15465, 18, 365, 11130, 11826, 779, 8099, 6365, 15783, 6729, 35043, 2347, 1447, 25865, 16, 374, 9887, 2750, 15069, 14033, 37018, 315, 519, 4843, 22, 5096, 349, 2948, 15429, 1087, 348, 49122, 1437, 309, 26476, 2407, 16, 25198, 289, 1888, 6958, 1901, 26476, 282, 3178, 24083, 4335, 986, 18, 967, 803, 8099, 33420, 16, 374, 282, 7823, 1045, 9887, 2750 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 29922, 478, 4654, 900, 1734, 13582, 861, 2046, 1844, 6099, 360, 924, 16, 840, 520, 34855, 478, 29172, 662, 4048, 1136, 2679, 4654, 470, 541, 17926, 23587, 44425, 2891, 1624, 1247, 381, 11811, 12925, 510, 374, 541, 722, 24791, 16, 374, 541, 722, 478, 24849, 2005, 470, 289, 17926, 282, 22515, 11030, 11805, 13629, 510, 840, 10916, 18, 459, 3059, 380, 454, 16, 3387, 12760, 1880, 4577, 541, 4075, 978, 6356, 2701, 4581, 473, 22664, 3118, 38011, 9069, 934, 5702, 687, 1272, 3427, 541, 924, 16, 753, 8830, 6730, 18, 889, 11341, 451, 16, 478, 782, 3169, 1602, 17, 16795, 6948, 22009, 470, 1480, 15974, 43108, 617, 23587, 30870, 282, 4837, 2954, 289, 16308, 549, 11268, 18, 378, 4634, 520, 5494, 309, 26214, 38011, 27457, 3453, 965, 289, 6905, 12402, 16707, 510, 1247, 45265, 18, 1591, 9701, 1750, 16, 935, 19567, 11426, 549, 20889, 282, 4459, 27465, 11919, 9391, 726, 16311, 697, 3147, 46780, 869, 5860, 5559, 282, 970, 16712, 16, 374, 478, 431, 1313, 1299, 481, 7782, 862, 861, 1397, 575, 5327, 16308, 416, 6569, 16, 502, 1085, 373, 537, 21035, 282, 8384, 349, 42685, 8647, 7626, 473, 404, 453, 4748, 282, 7204, 1750, 935, 502, 16, 3253, 678, 24317, 309, 24118, 670, 722, 3336, 21538, 934, 329, 1710, 912, 2197, 30945, 24353, 30, 519, 1110, 1326, 1055, 453, 2232, 322, 2397, 15465, 16, 678, 895, 21581, 1582, 47816, 778, 4004, 16, 515, 322, 2397, 7658, 20163, 309, 10645, 282, 43444, 7866, 750, 18, 985, 687, 10012, 5222, 510, 16171, 309, 10645, 282, 10035, 8384, 6764, 467, 16, 367, 1215, 4380, 289, 8266, 36163, 282, 7549, 1545, 16, 282, 18671, 1750, 9982, 4797, 16, 367, 282, 2903, 2529, 1841, 10573, 17853, 294, 3818, 36359, 11922, 15185, 9766, 3537, 41399, 18, 6682, 924, 16, 12697, 2900, 15465, 309, 4625, 8643, 294, 6764, 1433, 3537, 41718, 282, 478, 2499, 4574, 1144, 432, 470, 11065, 9251, 483, 1165, 510, 1139, 12745, 16, 428, 1078, 309, 17019, 18, 24593, 409, 322, 7664, 355, 16, 515, 11165, 22544, 2206, 473, 267, 9752, 6905, 12634, 382, 13, 1373, 13717, 6441, 7426, 10144, 282, 9893, 18, 3782, 675, 19382, 4903, 451, 1440, 451, 9350, 473, 2824, 282, 43444, 34325, 16, 374, 282, 16211, 13, 8768, 16, 9458, 4448, 281, 25120, 1251, 41702, 8972, 2389, 16, 32483, 18326, 1756, 3356, 9885, 3095, 825, 12419, 272, 392, 16, 33341, 17048, 289, 37183, 14073, 3537, 326, 1100, 528, 1549, 435, 16, 1717, 16308, 668, 13354, 289, 1221, 9935, 3326, 282, 3106, 1728, 8300, 45515, 18, 8859, 481, 322, 1139, 18326, 1756, 510, 12419, 1152, 23854, 19833, 2205, 16, 1715, 3077, 451, 50036, 27914, 1279, 19568, 11228, 4546, 13653, 289, 12959, 18, 1012, 10475, 17450, 4167, 5482, 18, 8353, 27914, 11065, 5910, 28269, 6016, 30, 745, 6354, 6125, 15466, 1066, 1279, 4200, 3174, 18, 832, 16053, 16, 374, 697, 6272, 448, 17406, 917, 38732, 400, 918, 16, 4748, 473, 12833, 1129, 13, 687, 2361, 510, 24575, 10035, 4497, 297, 17858, 750, 18, 365, 3198, 16308, 451, 3537, 41399, 528, 1549, 435, 289, 19197, 3537, 31743, 1162, 30904, 16, 309, 1754, 687, 289, 1698, 24405, 506, 5762, 839, 289, 835, 839, 9893, 16, 30850, 3066, 749, 13711, 15981, 18, 365, 2759, 4096, 16, 282, 1754, 5762, 839, 289, 835, 839, 3402, 3097, 548, 3960, 4623, 43299, 2087, 16, 16308, 549, 11268, 16, 12563, 1079, 15465, 16, 5988, 434, 334, 453, 12096, 47240, 281, 528, 1549, 435, 16, 289, 749, 4696, 3207, 373, 16, 309, 8011, 3585, 626, 10250, 40043, 871, 29033, 16, 4751, 322, 2708, 1527, 16, 367, 502, 289, 6228, 7005, 18, 740, 374, 971, 35, 16589, 614, 277, 289, 17726, 12560, 322, 282, 4349, 14476, 9318, 5348, 16, 367, 7938, 5348, 16, 7052, 274, 3308, 1217, 40675, 9649, 2257, 24294, 2804, 16, 5219, 274, 4851, 687, 7107, 9125, 1279, 10108, 43984, 47889, 16, 15622, 953, 322, 895, 18, 4707, 648, 41987, 347, 17, 19875, 367, 1696, 322, 687, 13639, 2712, 13965, 40043, 871, 478, 370, 613, 21417, 470, 510, 505, 33176, 15567, 548, 764, 289, 334, 17, 6093, 322, 15083, 935, 14841, 343, 48967, 18, 889, 510, 6295, 322, 282, 4356, 9620, 473, 21464, 347, 2822, 14057, 16, 6416, 293, 548, 10977, 48967, 934, 515, 289, 322, 282, 4356, 505, 21680, 2155, 18, 1253, 510, 282, 4356, 1110, 16, 1085, 478, 431, 40397, 5432, 8055, 861, 2787, 912, 567, 6377, 18, 2, 1, 87, 1456, 81, 2448, 30, 983, 6316, 2750, 1858, 26579, 26697, 309, 17313, 26476, 18, 640, 1177, 445, 29263, 29569, 11453, 2153, 4843, 22, 5096, 18, 36727, 9887, 2750, 322, 34745, 935, 282, 10544, 6477, 18, 967, 803, 9887, 2750, 726, 2879, 23892, 16755, 16336, 2364, 4843, 3420, 5096, 289, 322, 3147, 6218, 16, 5870, 1450, 334, 26246, 46908, 43004, 4103, 18, 31224, 30, 47776, 3281, 15783, 24905, 281, 1533, 4238, 5790, 281, 41754, 2661, 16, 40172, 1158, 1147, 3043, 11188, 1087, 348, 49122, 1437, 16, 3828, 6080, 478, 13261, 470, 7897, 282, 31002, 30000, 18, 824, 505, 3163, 16, 17652, 9974, 8192, 282, 7044, 289, 2145, 18, 365, 6099, 360, 16296, 2466, 8468, 16, 7065, 895, 23826, 4256, 1123, 564, 15067, 700, 282, 3607, 2244, 16, 367, 1038, 13079, 2678, 8712, 3437, 1123, 1608, 49857, 282, 44222, 42858, 16, 19134, 334, 3279, 1747, 30351, 282, 3607, 2244, 18, 23412, 8943, 3631, 530, 769, 41706, 289, 1075, 69, 22999, 73, 550, 534, 18, 20439, 3281, 15783, 510, 12501, 8115, 15185, 3281, 8193, 16, 6065, 282, 5118, 281, 45293, 4830, 282, 12938, 4440, 779, 18, 46996, 5326, 8709, 19341, 4199, 18034, 289, 29996, 7065, 45638, 18, 31434, 15429, 1087, 296, 1000, 297, 309, 17313, 26476, 4770, 15783, 3720, 24307, 22342, 300, 2200, 45293, 4855, 6427, 28, 478, 630, 6244, 5535, 17313, 9759, 6146, 3536, 910, 5524, 6279, 282, 2343, 6705, 779, 18, 16928, 918, 12350, 8197, 282, 11826, 17, 2932, 2932, 6206, 309, 17313, 26476, 1087, 348, 49122, 1437, 309, 7512, 16, 39232, 668, 4843, 22, 5096, 16, 8977, 4419, 3781, 17, 9952, 49296, 15465, 18, 365, 11130, 11826, 779, 8099, 6365, 15783, 6729, 35043, 2347, 1447, 25865, 16, 374, 9887, 2750, 15069, 14033, 37018, 315, 519, 4843, 22, 5096, 349, 2948, 15429, 1087, 348, 49122, 1437, 309, 26476, 2407, 16, 25198, 289, 1888, 6958, 1901, 26476, 282, 3178, 24083, 4335, 986, 18, 967, 803, 8099, 33420, 16, 374, 282, 7823, 1045, 9887, 2750 ]
[ 322, 15069, 41407, 2297, 1491, 356, 700, 18, 9887, 2750, 282, 4101, 3142, 322, 445, 1576, 12143, 290, 3177, 30554, 23826, 7307, 348, 49122, 553, 282, 2630, 281, 867, 16, 374, 282, 2604, 1045, 24820, 3017, 41073, 5606, 3043, 11504, 7135, 761, 4256, 1123, 1608, 2297, 1491, 356, 2169, 282, 23386, 4843, 21, 5096, 18, 2046, 282, 2604, 1045, 9887, 2750, 322, 6841, 1424, 6863, 309, 8275, 7307, 348, 49122, 1437, 16, 453, 428, 282, 481, 808, 1279, 1710, 25509, 12435, 18, 385, 2430, 553, 898, 14640, 2626, 13798, 2604, 779, 687, 1011, 37965, 10144, 18, 967, 803, 9887, 2750, 4660, 9218, 309, 9565, 564, 5003, 434, 11418, 281, 24754, 764, 519, 15429, 49857, 510, 282, 9643, 21002, 1728, 20454, 5842, 14364, 289, 27838, 18412, 16125, 371, 3043, 4840, 18, 740, 14062, 11418, 322, 7820, 18, 365, 6031, 4145, 17, 32008, 6206, 9887, 2750, 2355, 7102, 28356, 553, 349, 2948, 23563, 7179, 2713, 2585, 21478, 289, 15429, 49320, 49857, 309, 33921, 5814, 18, 365, 11826, 1045, 9887, 2750, 1038, 23095, 1909, 26621, 20858, 18, 824, 3761, 12967, 6365, 15783, 16, 12501, 4103, 2553, 309, 430, 3612, 26155, 779, 12076, 7640, 16, 24, 5096, 2791, 289, 39826, 334, 7413, 281, 11826, 779, 309, 816, 16, 22, 5096, 2791, 16, 670, 309, 1409, 16, 26, 5999, 10388, 12101, 12501, 4103, 334, 13976, 309, 430, 3612, 26155, 779, 12076, 4843, 3902, 16, 29, 5096, 16, 7083, 1752, 281, 2742, 779, 309, 4843, 20, 16, 22, 5096, 473, 267, 9752, 5874, 1385, 445, 2543, 934, 670, 309, 430, 5999, 999, 11826, 1205, 6244, 4633, 26621, 18909, 6146, 918, 309, 7512, 4843, 6091, 11629, 16, 28, 3763, 18, 967, 803, 4843, 28, 11842, 16, 21, 3763, 651, 360, 5439, 289, 6802, 4433, 4551, 18, 6831, 38502, 15783, 651, 7064, 25198, 47568, 30957, 3763, 934, 367, 1038, 37186, 10902, 47568, 3324, 29, 3763, 814, 3739, 4843, 4003, 3763, 651, 360, 41581, 718, 11131, 40669, 289, 3281, 16, 4843, 3940, 28, 3763, 651, 360, 421, 14796, 730, 16, 4843, 3420, 16, 25, 3763, 651, 481, 3674, 602, 14796, 730, 289, 385, 17426, 473, 19386, 451, 6153, 5862, 7065, 814, 378, 1041, 1979, 17964, 7904, 16178, 282, 11826, 1045, 26844, 4843, 43026, 16, 23, 3763, 18, 35446, 16755, 2610, 15783, 282, 11826, 1045, 16, 428, 16, 9705, 16, 289, 4419, 16, 26633, 3771, 18, 24605, 1756, 1038, 20142, 282, 4101, 3142, 12307, 9807, 16, 31651, 38963, 282, 11826, 1045, 26844, 7431, 4843, 4234, 25, 3763, 18, 640, 15301, 2468, 510, 602, 14796, 730, 18, 24734, 883, 12501, 4103, 15783, 349, 11826, 1205, 16, 7415, 16, 5009, 3287, 18, 824, 13976, 309, 430, 3612, 26155, 779, 16, 492, 12076, 1488, 16, 29, 5096, 2791, 16, 5914, 460, 1752, 281, 2742, 779, 309, 2239, 16, 23, 5096, 2791, 473, 267, 9752, 5874, 1385, 445, 2543, 934, 670, 309, 816, 16, 21, 5999, 999, 11826, 1205, 3043, 9069, 9246, 49320, 9759, 49857, 541, 19067, 289, 15570, 1562, 309, 7512, 4843, 25, 6894, 16, 25, 3763, 18, 378, 1041, 10631, 49320, 289, 1671, 34273, 9759, 49857, 541, 19067, 289, 15570, 1562, 309, 7512, 4843, 28, 12770, 16, 29, 3763, 289, 44500, 16, 24, 3763, 2791, 18, 985, 7967, 16, 1524, 6436, 349, 11826, 1205, 5009, 2022, 16356, 8204, 451, 4103, 309, 7512, 4652, 4843, 23, 6654, 16, 24, 3763, 16, 794, 36854, 21446, 360, 23563, 3674, 334, 37947, 30347, 309, 12974, 1979, 13923, 8204, 434, 18, 365, 12335, 2438, 3665, 16, 374, 3771, 5657, 341, 15783, 5003, 309, 4843, 30957, 3763, 18, 47475, 20776, 309, 12974, 1979, 2095, 19163, 5781, 23429, 18, 3739, 4843, 4003, 3763, 411, 25583, 1378, 4419, 4843, 22, 5096, 29263, 12845, 360, 41581, 718, 11131, 40669, 289, 3281, 18, 985, 289, 30751, 16, 870, 3674, 1038, 20776, 309, 449, 40868, 3271, 19163, 23429, 18, 4756, 29263, 1293, 445, 12453, 5003, 282, 9802, 4843, 21, 5096, 16, 2512, 4843, 30957, 3763, 541, 449, 40868, 2682, 282, 26155, 1045, 4103, 1385, 20394, 1188, 9609, 18, 1367, 803, 25865, 8099, 6365, 45638, 35043, 2347, 1447, 18, 29263, 22342, 300, 281, 26150, 1177, 5003, 764, 282, 12838, 6705, 779, 18, 996, 3903, 18, 459, 16, 334, 5833, 3538, 16, 381, 803, 46557, 12897, 1133, 19516, 18, 740, 30248, 349, 6940, 2273, 301, 16, 428, 7967, 16, 15177, 701, 289, 282, 803, 1045, 18, 5343, 281, 8864, 14176, 475, 23469, 968, 5695, 24307, 3742, 295, 918, 18, 9887, 1133, 2891, 2202, 1166, 16, 374, 935, 27594, 309, 449, 40868, 3271, 5343, 19327, 30941, 1139, 453, 18, 365, 6104, 1045, 16, 3057, 16, 5343, 349, 14693, 675, 1909, 10286, 19238, 19449, 2273, 669, 289, 5019, 5721, 455, 1272, 2644, 18, 1787, 7358, 2273, 669, 282, 4843, 4003, 3763, 25567, 15783, 2003, 639, 18622, 5134, 18856, 4830, 290, 23462, 282, 16060, 4314, 18213, 322, 2619, 1939, 7882, 402, 960, 30984, 49142, 49574, 16, 367, 1038, 18894, 5836, 282, 1568, 478, 630, 44218, 617, 670, 20308, 1207, 861, 740, 2184, 47618, 24515, 15783, 360, 1175, 322, 33378, 2444, 18, 365, 11130, 24307, 8409, 381, 2352, 331, 4762, 25708, 289, 45022, 16125, 334, 32826, 1306, 309, 7955, 27673, 18, 1895, 17204, 1335, 38081, 4696, 1320, 3419, 281, 6525, 18, 9668, 15783, 3812, 709, 309, 502, 16, 374, 3771, 27809, 10286, 6997, 289, 12988, 1154, 28846, 4183, 4827, 1347, 309, 1205, 18, 9712, 5094, 5934, 783, 478, 730, 4654, 496, 470, 867, 322, 2619, 8297, 455, 9118, 18427, 30863, 6518, 9527, 282, 26155, 1045, 18, 7106, 16, 309, 603, 14131, 27673, 5343, 5019, 25020, 5003, 3569, 2977, 282, 4843, 2479, 5096, 18, 42343, 549, 14875, 309, 7955, 9887, 680, 27673, 22743, 519, 1939, 6654, 779, 18, 6083, 408, 19872, 29544, 483, 16, 3235, 1175, 16, 329, 15783, 3716, 1003, 18, 3747, 29263, 289, 9414, 3089, 38502, 282, 15770, 289, 17618, 1888, 2044, 18, 439, 7938, 15783, 281, 24754, 2944, 3819, 16005, 18, 824, 1335, 8386, 24307, 282, 9029, 2517, 281, 9365, 1080, 7556, 28571, 2712, 6266, 28141, 281, 9609, 18, 365, 19145, 10134, 434, 4000, 1175, 289, 15783, 18, 14427, 8757, 8506, 16, 334, 4734, 24307, 16, 510, 47320, 2644, 18, 640, 9155, 282, 13822, 282, 12500, 281, 27402, 30012, 24307, 27834, 16, 374, 3771, 289, 9887, 2750, 6354, 4619, 282, 5219, 763, 4618, 3964, 16, 5870, 6354, 22341, 1949, 2044, 18, 3771, 404, 16, 5175, 16, 322, 6354, 39128, 36144, 22068, 1066, 16, 289, 9805 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 322, 15069, 41407, 2297, 1491, 356, 700, 18, 9887, 2750, 282, 4101, 3142, 322, 445, 1576, 12143, 290, 3177, 30554, 23826, 7307, 348, 49122, 553, 282, 2630, 281, 867, 16, 374, 282, 2604, 1045, 24820, 3017, 41073, 5606, 3043, 11504, 7135, 761, 4256, 1123, 1608, 2297, 1491, 356, 2169, 282, 23386, 4843, 21, 5096, 18, 2046, 282, 2604, 1045, 9887, 2750, 322, 6841, 1424, 6863, 309, 8275, 7307, 348, 49122, 1437, 16, 453, 428, 282, 481, 808, 1279, 1710, 25509, 12435, 18, 385, 2430, 553, 898, 14640, 2626, 13798, 2604, 779, 687, 1011, 37965, 10144, 18, 967, 803, 9887, 2750, 4660, 9218, 309, 9565, 564, 5003, 434, 11418, 281, 24754, 764, 519, 15429, 49857, 510, 282, 9643, 21002, 1728, 20454, 5842, 14364, 289, 27838, 18412, 16125, 371, 3043, 4840, 18, 740, 14062, 11418, 322, 7820, 18, 365, 6031, 4145, 17, 32008, 6206, 9887, 2750, 2355, 7102, 28356, 553, 349, 2948, 23563, 7179, 2713, 2585, 21478, 289, 15429, 49320, 49857, 309, 33921, 5814, 18, 365, 11826, 1045, 9887, 2750, 1038, 23095, 1909, 26621, 20858, 18, 824, 3761, 12967, 6365, 15783, 16, 12501, 4103, 2553, 309, 430, 3612, 26155, 779, 12076, 7640, 16, 24, 5096, 2791, 289, 39826, 334, 7413, 281, 11826, 779, 309, 816, 16, 22, 5096, 2791, 16, 670, 309, 1409, 16, 26, 5999, 10388, 12101, 12501, 4103, 334, 13976, 309, 430, 3612, 26155, 779, 12076, 4843, 3902, 16, 29, 5096, 16, 7083, 1752, 281, 2742, 779, 309, 4843, 20, 16, 22, 5096, 473, 267, 9752, 5874, 1385, 445, 2543, 934, 670, 309, 430, 5999, 999, 11826, 1205, 6244, 4633, 26621, 18909, 6146, 918, 309, 7512, 4843, 6091, 11629, 16, 28, 3763, 18, 967, 803, 4843, 28, 11842, 16, 21, 3763, 651, 360, 5439, 289, 6802, 4433, 4551, 18, 6831, 38502, 15783, 651, 7064, 25198, 47568, 30957, 3763, 934, 367, 1038, 37186, 10902, 47568, 3324, 29, 3763, 814, 3739, 4843, 4003, 3763, 651, 360, 41581, 718, 11131, 40669, 289, 3281, 16, 4843, 3940, 28, 3763, 651, 360, 421, 14796, 730, 16, 4843, 3420, 16, 25, 3763, 651, 481, 3674, 602, 14796, 730, 289, 385, 17426, 473, 19386, 451, 6153, 5862, 7065, 814, 378, 1041, 1979, 17964, 7904, 16178, 282, 11826, 1045, 26844, 4843, 43026, 16, 23, 3763, 18, 35446, 16755, 2610, 15783, 282, 11826, 1045, 16, 428, 16, 9705, 16, 289, 4419, 16, 26633, 3771, 18, 24605, 1756, 1038, 20142, 282, 4101, 3142, 12307, 9807, 16, 31651, 38963, 282, 11826, 1045, 26844, 7431, 4843, 4234, 25, 3763, 18, 640, 15301, 2468, 510, 602, 14796, 730, 18, 24734, 883, 12501, 4103, 15783, 349, 11826, 1205, 16, 7415, 16, 5009, 3287, 18, 824, 13976, 309, 430, 3612, 26155, 779, 16, 492, 12076, 1488, 16, 29, 5096, 2791, 16, 5914, 460, 1752, 281, 2742, 779, 309, 2239, 16, 23, 5096, 2791, 473, 267, 9752, 5874, 1385, 445, 2543, 934, 670, 309, 816, 16, 21, 5999, 999, 11826, 1205, 3043, 9069, 9246, 49320, 9759, 49857, 541, 19067, 289, 15570, 1562, 309, 7512, 4843, 25, 6894, 16, 25, 3763, 18, 378, 1041, 10631, 49320, 289, 1671, 34273, 9759, 49857, 541, 19067, 289, 15570, 1562, 309, 7512, 4843, 28, 12770, 16, 29, 3763, 289, 44500, 16, 24, 3763, 2791, 18, 985, 7967, 16, 1524, 6436, 349, 11826, 1205, 5009, 2022, 16356, 8204, 451, 4103, 309, 7512, 4652, 4843, 23, 6654, 16, 24, 3763, 16, 794, 36854, 21446, 360, 23563, 3674, 334, 37947, 30347, 309, 12974, 1979, 13923, 8204, 434, 18, 365, 12335, 2438, 3665, 16, 374, 3771, 5657, 341, 15783, 5003, 309, 4843, 30957, 3763, 18, 47475, 20776, 309, 12974, 1979, 2095, 19163, 5781, 23429, 18, 3739, 4843, 4003, 3763, 411, 25583, 1378, 4419, 4843, 22, 5096, 29263, 12845, 360, 41581, 718, 11131, 40669, 289, 3281, 18, 985, 289, 30751, 16, 870, 3674, 1038, 20776, 309, 449, 40868, 3271, 19163, 23429, 18, 4756, 29263, 1293, 445, 12453, 5003, 282, 9802, 4843, 21, 5096, 16, 2512, 4843, 30957, 3763, 541, 449, 40868, 2682, 282, 26155, 1045, 4103, 1385, 20394, 1188, 9609, 18, 1367, 803, 25865, 8099, 6365, 45638, 35043, 2347, 1447, 18, 29263, 22342, 300, 281, 26150, 1177, 5003, 764, 282, 12838, 6705, 779, 18, 996, 3903, 18, 459, 16, 334, 5833, 3538, 16, 381, 803, 46557, 12897, 1133, 19516, 18, 740, 30248, 349, 6940, 2273, 301, 16, 428, 7967, 16, 15177, 701, 289, 282, 803, 1045, 18, 5343, 281, 8864, 14176, 475, 23469, 968, 5695, 24307, 3742, 295, 918, 18, 9887, 1133, 2891, 2202, 1166, 16, 374, 935, 27594, 309, 449, 40868, 3271, 5343, 19327, 30941, 1139, 453, 18, 365, 6104, 1045, 16, 3057, 16, 5343, 349, 14693, 675, 1909, 10286, 19238, 19449, 2273, 669, 289, 5019, 5721, 455, 1272, 2644, 18, 1787, 7358, 2273, 669, 282, 4843, 4003, 3763, 25567, 15783, 2003, 639, 18622, 5134, 18856, 4830, 290, 23462, 282, 16060, 4314, 18213, 322, 2619, 1939, 7882, 402, 960, 30984, 49142, 49574, 16, 367, 1038, 18894, 5836, 282, 1568, 478, 630, 44218, 617, 670, 20308, 1207, 861, 740, 2184, 47618, 24515, 15783, 360, 1175, 322, 33378, 2444, 18, 365, 11130, 24307, 8409, 381, 2352, 331, 4762, 25708, 289, 45022, 16125, 334, 32826, 1306, 309, 7955, 27673, 18, 1895, 17204, 1335, 38081, 4696, 1320, 3419, 281, 6525, 18, 9668, 15783, 3812, 709, 309, 502, 16, 374, 3771, 27809, 10286, 6997, 289, 12988, 1154, 28846, 4183, 4827, 1347, 309, 1205, 18, 9712, 5094, 5934, 783, 478, 730, 4654, 496, 470, 867, 322, 2619, 8297, 455, 9118, 18427, 30863, 6518, 9527, 282, 26155, 1045, 18, 7106, 16, 309, 603, 14131, 27673, 5343, 5019, 25020, 5003, 3569, 2977, 282, 4843, 2479, 5096, 18, 42343, 549, 14875, 309, 7955, 9887, 680, 27673, 22743, 519, 1939, 6654, 779, 18, 6083, 408, 19872, 29544, 483, 16, 3235, 1175, 16, 329, 15783, 3716, 1003, 18, 3747, 29263, 289, 9414, 3089, 38502, 282, 15770, 289, 17618, 1888, 2044, 18, 439, 7938, 15783, 281, 24754, 2944, 3819, 16005, 18, 824, 1335, 8386, 24307, 282, 9029, 2517, 281, 9365, 1080, 7556, 28571, 2712, 6266, 28141, 281, 9609, 18, 365, 19145, 10134, 434, 4000, 1175, 289, 15783, 18, 14427, 8757, 8506, 16, 334, 4734, 24307, 16, 510, 47320, 2644, 18, 640, 9155, 282, 13822, 282, 12500, 281, 27402, 30012, 24307, 27834, 16, 374, 3771, 289, 9887, 2750, 6354, 4619, 282, 5219, 763, 4618, 3964, 16, 5870, 6354, 22341, 1949, 2044, 18, 3771, 404, 16, 5175, 16, 322, 6354, 39128, 36144, 22068, 1066, 16, 289, 9805 ]
[ 41945, 329, 32981, 1211, 870, 16849, 18, 2, 1, 87, 1456, 81, 2448, 30, 24569, 282, 20035, 3508, 322, 3168, 2102, 424, 32496, 1951, 10043, 16, 35330, 282, 47444, 1207, 1195, 22567, 393, 4963, 282, 25839, 6233, 478, 45200, 883, 861, 2706, 17, 7745, 14331, 6233, 3118, 13749, 1423, 16789, 289, 685, 29053, 424, 27503, 11923, 18, 421, 665, 32174, 541, 505, 12360, 510, 1949, 14314, 289, 1949, 14733, 673, 303, 14260, 1378, 510, 840, 3516, 324, 282, 9937, 18, 28347, 20035, 4732, 1576, 2666, 290, 1888, 6160, 18802, 477, 1963, 17390, 411, 478, 45200, 1672, 910, 334, 6661, 32477, 18966, 11969, 1743, 18, 31224, 30, 46326, 567, 12241, 967, 45757, 778, 34086, 1551, 20035, 49272, 21743, 32174, 541, 2706, 17, 11884, 18675, 2198, 8450, 669, 354, 30241, 399, 2679, 4086, 16, 4419, 5688, 5540, 334, 38601, 282, 289, 21711, 750, 16279, 17, 11884, 11088, 29707, 756, 282, 25839, 6233, 18, 4802, 10292, 20546, 5561, 381, 47043, 26247, 16, 2686, 16044, 322, 3837, 19961, 541, 978, 16, 4813, 309, 502, 16, 374, 29707, 483, 10353, 16342, 360, 7730, 1378, 975, 28564, 18, 30241, 399, 2679, 1452, 16, 2202, 1779, 1423, 16789, 16, 840, 41792, 9512, 14160, 1642, 18, 478, 24569, 5930, 364, 24564, 1951, 10043, 424, 27503, 11923, 519, 9512, 15140, 910, 510, 40530, 478, 46088, 18, 8381, 470, 282, 4802, 7292, 40745, 473, 4395, 13, 334, 18872, 38496, 18, 478, 20354, 23702, 16, 282, 2114, 505, 31439, 510, 11924, 20249, 16, 289, 2391, 1003, 5941, 505, 11923, 17639, 510, 1574, 35661, 685, 329, 20256, 910, 510, 9848, 478, 46088, 18, 8381, 470, 10344, 16804, 12130, 3594, 334, 42604, 477, 5792, 11925, 334, 18872, 38496, 28635, 47546, 1452, 18, 30241, 399, 2679, 326, 392, 639, 49837, 22204, 282, 25834, 17209, 16, 35269, 327, 18, 430, 422, 18, 4039, 26, 473, 8108, 560, 1979, 28485, 19750, 13, 289, 327, 18, 491, 422, 18, 4518, 22, 11828, 2407, 473, 2987, 10770, 451, 424, 28151, 814, 7909, 282, 16062, 1212, 18617, 4802, 7292, 40745, 5780, 16, 374, 322, 1747, 29581, 1086, 9272, 668, 21743, 32174, 15802, 825, 18, 740, 5747, 12117, 5854, 11925, 4137, 2101, 2931, 1624, 3003, 5129, 290, 39566, 47043, 840, 29581, 9368, 18, 365, 8651, 8729, 1551, 4755, 2640, 20546, 624, 381, 47043, 7842, 6566, 30650, 18, 889, 2706, 17, 7745, 44241, 6660, 334, 33043, 3705, 9833, 696, 2725, 6005, 2131, 609, 1624, 3436, 17, 7745, 2076, 39654, 837, 14132, 46620, 3918, 7527, 3062, 19937, 16, 6501, 14733, 673, 303, 14260, 1378, 384, 3703, 17, 7745, 8450, 10474, 459, 807, 20244, 1452, 289, 3436, 17, 7745, 472, 28236, 43892, 2131, 609, 18, 365, 5674, 35374, 25656, 547, 5214, 478, 46088, 18, 8381, 470, 4419, 12002, 16, 374, 1176, 411, 30650, 726, 5695, 2202, 5331, 17187, 18, 478, 8706, 1186, 3419, 381, 15802, 304, 30241, 399, 2679, 18770, 225, 910, 510, 1109, 9216, 3781, 17, 14130, 5674, 13104, 25656, 434, 5500, 6606, 4603, 23772, 5847, 4083, 1624, 48588, 1752, 309, 13156, 16, 23377, 294, 41955, 18, 1303, 24671, 17774, 3929, 5120, 616, 2389, 14132, 1101, 16, 7301, 2198, 334, 279, 18, 478, 264, 470, 327, 18, 816, 422, 18, 4039, 26, 11828, 2407, 473, 8108, 560, 1979, 28485, 19750, 16, 43221, 281, 19526, 18802, 13, 289, 279, 18, 478, 296, 470, 327, 18, 491, 422, 18, 41538, 11828, 2407, 473, 20845, 539, 4284, 468, 2246, 2035, 16021, 23292, 16, 43221, 281, 47444, 1518, 1195, 18100, 1757, 814, 3492, 1717, 411, 11350, 17, 7984, 945, 1051, 17329, 6431, 16320, 2195, 1195, 5688, 6279, 16, 36560, 1055, 322, 5542, 10531, 18, 365, 502, 575, 808, 282, 11925, 6442, 16, 374, 16, 334, 3761, 14160, 16, 30241, 399, 2679, 1452, 349, 9262, 29707, 756, 289, 42655, 505, 282, 13331, 6233, 16, 478, 404, 12113, 309, 502, 10361, 432, 19961, 861, 478, 563, 5173, 371, 2478, 48774, 37728, 1951, 10890, 32494, 4646, 3064, 6034, 16, 12393, 19417, 30046, 541, 39800, 282, 4599, 5688, 5540, 33570, 434, 36310, 290, 25834, 25555, 35044, 16, 9278, 434, 422, 18, 1939, 18, 21, 49399, 2407, 473, 13560, 2844, 34137, 662, 13, 910, 510, 5130, 282, 9907, 33515, 7920, 18, 365, 6233, 34259, 16, 374, 1951, 10890, 478, 560, 4873, 29707, 756, 411, 14374, 541, 31501, 17, 431, 1826, 3314, 289, 13598, 505, 29966, 4151, 861, 967, 803, 282, 16062, 1212, 8231, 5501, 925, 16, 374, 29707, 483, 895, 953, 322, 17751, 22659, 6814, 6660, 6233, 478, 45200, 883, 861, 23656, 16201, 15310, 20353, 294, 21084, 20035, 281, 14503, 13304, 281, 20649, 1134, 309, 3193, 17390, 18, 985, 25495, 5037, 8231, 46792, 44319, 9246, 1552, 1175, 2086, 460, 554, 28911, 6737, 14457, 1624, 478, 293, 7819, 7723, 475, 10744, 289, 23500, 16, 961, 26656, 282, 8231, 8193, 289, 6535, 282, 15242, 6814, 8389, 6660, 6233, 861, 824, 3761, 5674, 13104, 25656, 434, 5500, 16, 10786, 8044, 4732, 37662, 290, 17161, 489, 432, 17343, 6814, 478, 45200, 1672, 861, 2112, 12522, 2059, 411, 1576, 574, 2543, 510, 1939, 17, 17827, 7362, 265, 2725, 700, 6589, 510, 726, 18966, 11969, 1743, 18, 985, 3828, 282, 7337, 5549, 9885, 9577, 1918, 5037, 18622, 17, 45486, 328, 416, 2095, 6905, 3623, 473, 37445, 1659, 38632, 13, 8231, 334, 18872, 38496, 3883, 285, 339, 46886, 2679, 1388, 16, 478, 275, 2463, 24076, 318, 518, 575, 8811, 16, 374, 289, 282, 2463, 29707, 756, 861, 2861, 17745, 1157, 16, 282, 1423, 3678, 16, 13737, 16, 374, 2725, 700, 3340, 289, 764, 6501, 5303, 20035, 6442, 773, 290, 19025, 265, 477, 1963, 17390, 18, 824, 3761, 25656, 1051, 16, 2725, 700, 3340, 906, 10570, 324, 282, 10841, 4018, 779, 30, 1450, 16, 428, 289, 29707, 48773, 16, 46067, 2853, 43922, 272, 16, 2588, 678, 322, 2219, 455, 18, 985, 12698, 1576, 22903, 16, 8811, 478, 45200, 1672, 470, 411, 3590, 722, 289, 8754, 414, 22424, 1086, 49900, 411, 17, 1567, 36813, 16, 1011, 1660, 678, 11642, 2202, 5331, 17187, 289, 7356, 2852, 9909, 24164, 18, 4210, 29707, 483, 16342, 282, 11084, 1011, 5963, 16, 2454, 1734, 282, 23567, 6233, 478, 45200, 883, 470, 282, 20035, 18, 365, 6233, 16144, 16, 374, 29707, 483, 16, 4419, 11451, 6066, 5229, 294, 8217, 349, 5230, 9264, 17209, 16, 685, 20817, 282, 11877, 282, 4349, 47648, 37010, 349, 3358, 2844, 34137, 662, 289, 2349, 2365, 282, 17905, 541, 31501, 39092, 18, 3026, 975, 2438, 4702, 30, 25904, 478, 5094 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 41945, 329, 32981, 1211, 870, 16849, 18, 2, 1, 87, 1456, 81, 2448, 30, 24569, 282, 20035, 3508, 322, 3168, 2102, 424, 32496, 1951, 10043, 16, 35330, 282, 47444, 1207, 1195, 22567, 393, 4963, 282, 25839, 6233, 478, 45200, 883, 861, 2706, 17, 7745, 14331, 6233, 3118, 13749, 1423, 16789, 289, 685, 29053, 424, 27503, 11923, 18, 421, 665, 32174, 541, 505, 12360, 510, 1949, 14314, 289, 1949, 14733, 673, 303, 14260, 1378, 510, 840, 3516, 324, 282, 9937, 18, 28347, 20035, 4732, 1576, 2666, 290, 1888, 6160, 18802, 477, 1963, 17390, 411, 478, 45200, 1672, 910, 334, 6661, 32477, 18966, 11969, 1743, 18, 31224, 30, 46326, 567, 12241, 967, 45757, 778, 34086, 1551, 20035, 49272, 21743, 32174, 541, 2706, 17, 11884, 18675, 2198, 8450, 669, 354, 30241, 399, 2679, 4086, 16, 4419, 5688, 5540, 334, 38601, 282, 289, 21711, 750, 16279, 17, 11884, 11088, 29707, 756, 282, 25839, 6233, 18, 4802, 10292, 20546, 5561, 381, 47043, 26247, 16, 2686, 16044, 322, 3837, 19961, 541, 978, 16, 4813, 309, 502, 16, 374, 29707, 483, 10353, 16342, 360, 7730, 1378, 975, 28564, 18, 30241, 399, 2679, 1452, 16, 2202, 1779, 1423, 16789, 16, 840, 41792, 9512, 14160, 1642, 18, 478, 24569, 5930, 364, 24564, 1951, 10043, 424, 27503, 11923, 519, 9512, 15140, 910, 510, 40530, 478, 46088, 18, 8381, 470, 282, 4802, 7292, 40745, 473, 4395, 13, 334, 18872, 38496, 18, 478, 20354, 23702, 16, 282, 2114, 505, 31439, 510, 11924, 20249, 16, 289, 2391, 1003, 5941, 505, 11923, 17639, 510, 1574, 35661, 685, 329, 20256, 910, 510, 9848, 478, 46088, 18, 8381, 470, 10344, 16804, 12130, 3594, 334, 42604, 477, 5792, 11925, 334, 18872, 38496, 28635, 47546, 1452, 18, 30241, 399, 2679, 326, 392, 639, 49837, 22204, 282, 25834, 17209, 16, 35269, 327, 18, 430, 422, 18, 4039, 26, 473, 8108, 560, 1979, 28485, 19750, 13, 289, 327, 18, 491, 422, 18, 4518, 22, 11828, 2407, 473, 2987, 10770, 451, 424, 28151, 814, 7909, 282, 16062, 1212, 18617, 4802, 7292, 40745, 5780, 16, 374, 322, 1747, 29581, 1086, 9272, 668, 21743, 32174, 15802, 825, 18, 740, 5747, 12117, 5854, 11925, 4137, 2101, 2931, 1624, 3003, 5129, 290, 39566, 47043, 840, 29581, 9368, 18, 365, 8651, 8729, 1551, 4755, 2640, 20546, 624, 381, 47043, 7842, 6566, 30650, 18, 889, 2706, 17, 7745, 44241, 6660, 334, 33043, 3705, 9833, 696, 2725, 6005, 2131, 609, 1624, 3436, 17, 7745, 2076, 39654, 837, 14132, 46620, 3918, 7527, 3062, 19937, 16, 6501, 14733, 673, 303, 14260, 1378, 384, 3703, 17, 7745, 8450, 10474, 459, 807, 20244, 1452, 289, 3436, 17, 7745, 472, 28236, 43892, 2131, 609, 18, 365, 5674, 35374, 25656, 547, 5214, 478, 46088, 18, 8381, 470, 4419, 12002, 16, 374, 1176, 411, 30650, 726, 5695, 2202, 5331, 17187, 18, 478, 8706, 1186, 3419, 381, 15802, 304, 30241, 399, 2679, 18770, 225, 910, 510, 1109, 9216, 3781, 17, 14130, 5674, 13104, 25656, 434, 5500, 6606, 4603, 23772, 5847, 4083, 1624, 48588, 1752, 309, 13156, 16, 23377, 294, 41955, 18, 1303, 24671, 17774, 3929, 5120, 616, 2389, 14132, 1101, 16, 7301, 2198, 334, 279, 18, 478, 264, 470, 327, 18, 816, 422, 18, 4039, 26, 11828, 2407, 473, 8108, 560, 1979, 28485, 19750, 16, 43221, 281, 19526, 18802, 13, 289, 279, 18, 478, 296, 470, 327, 18, 491, 422, 18, 41538, 11828, 2407, 473, 20845, 539, 4284, 468, 2246, 2035, 16021, 23292, 16, 43221, 281, 47444, 1518, 1195, 18100, 1757, 814, 3492, 1717, 411, 11350, 17, 7984, 945, 1051, 17329, 6431, 16320, 2195, 1195, 5688, 6279, 16, 36560, 1055, 322, 5542, 10531, 18, 365, 502, 575, 808, 282, 11925, 6442, 16, 374, 16, 334, 3761, 14160, 16, 30241, 399, 2679, 1452, 349, 9262, 29707, 756, 289, 42655, 505, 282, 13331, 6233, 16, 478, 404, 12113, 309, 502, 10361, 432, 19961, 861, 478, 563, 5173, 371, 2478, 48774, 37728, 1951, 10890, 32494, 4646, 3064, 6034, 16, 12393, 19417, 30046, 541, 39800, 282, 4599, 5688, 5540, 33570, 434, 36310, 290, 25834, 25555, 35044, 16, 9278, 434, 422, 18, 1939, 18, 21, 49399, 2407, 473, 13560, 2844, 34137, 662, 13, 910, 510, 5130, 282, 9907, 33515, 7920, 18, 365, 6233, 34259, 16, 374, 1951, 10890, 478, 560, 4873, 29707, 756, 411, 14374, 541, 31501, 17, 431, 1826, 3314, 289, 13598, 505, 29966, 4151, 861, 967, 803, 282, 16062, 1212, 8231, 5501, 925, 16, 374, 29707, 483, 895, 953, 322, 17751, 22659, 6814, 6660, 6233, 478, 45200, 883, 861, 23656, 16201, 15310, 20353, 294, 21084, 20035, 281, 14503, 13304, 281, 20649, 1134, 309, 3193, 17390, 18, 985, 25495, 5037, 8231, 46792, 44319, 9246, 1552, 1175, 2086, 460, 554, 28911, 6737, 14457, 1624, 478, 293, 7819, 7723, 475, 10744, 289, 23500, 16, 961, 26656, 282, 8231, 8193, 289, 6535, 282, 15242, 6814, 8389, 6660, 6233, 861, 824, 3761, 5674, 13104, 25656, 434, 5500, 16, 10786, 8044, 4732, 37662, 290, 17161, 489, 432, 17343, 6814, 478, 45200, 1672, 861, 2112, 12522, 2059, 411, 1576, 574, 2543, 510, 1939, 17, 17827, 7362, 265, 2725, 700, 6589, 510, 726, 18966, 11969, 1743, 18, 985, 3828, 282, 7337, 5549, 9885, 9577, 1918, 5037, 18622, 17, 45486, 328, 416, 2095, 6905, 3623, 473, 37445, 1659, 38632, 13, 8231, 334, 18872, 38496, 3883, 285, 339, 46886, 2679, 1388, 16, 478, 275, 2463, 24076, 318, 518, 575, 8811, 16, 374, 289, 282, 2463, 29707, 756, 861, 2861, 17745, 1157, 16, 282, 1423, 3678, 16, 13737, 16, 374, 2725, 700, 3340, 289, 764, 6501, 5303, 20035, 6442, 773, 290, 19025, 265, 477, 1963, 17390, 18, 824, 3761, 25656, 1051, 16, 2725, 700, 3340, 906, 10570, 324, 282, 10841, 4018, 779, 30, 1450, 16, 428, 289, 29707, 48773, 16, 46067, 2853, 43922, 272, 16, 2588, 678, 322, 2219, 455, 18, 985, 12698, 1576, 22903, 16, 8811, 478, 45200, 1672, 470, 411, 3590, 722, 289, 8754, 414, 22424, 1086, 49900, 411, 17, 1567, 36813, 16, 1011, 1660, 678, 11642, 2202, 5331, 17187, 289, 7356, 2852, 9909, 24164, 18, 4210, 29707, 483, 16342, 282, 11084, 1011, 5963, 16, 2454, 1734, 282, 23567, 6233, 478, 45200, 883, 470, 282, 20035, 18, 365, 6233, 16144, 16, 374, 29707, 483, 16, 4419, 11451, 6066, 5229, 294, 8217, 349, 5230, 9264, 17209, 16, 685, 20817, 282, 11877, 282, 4349, 47648, 37010, 349, 3358, 2844, 34137, 662, 289, 2349, 2365, 282, 17905, 541, 31501, 39092, 18, 3026, 975, 2438, 4702, 30, 25904, 478, 5094 ]
[ 323, 3599, 910, 2588, 18474, 8811, 17329, 6431, 16, 18932, 5688, 17152, 19902, 478, 293, 2430, 298, 766, 341, 470, 289, 7199, 38330, 16, 12509, 282, 23830, 16, 33060, 282, 8231, 3881, 354, 950, 18, 17944, 29707, 48773, 1858, 2438, 4702, 16, 294, 3130, 3424, 18474, 14891, 16, 961, 7650, 3003, 290, 10072, 10414, 16, 38407, 19902, 478, 598, 2736, 11165, 35648, 910, 5130, 282, 9907, 3781, 17, 14130, 18, 20431, 400, 29707, 756, 322, 3225, 30, 492, 16342, 282, 1281, 17, 295, 9207, 14154, 16, 322, 2270, 274, 282, 8433, 18, 4280, 21969, 29707, 756, 36680, 16, 374, 492, 3826, 1011, 44403, 13816, 282, 23567, 18, 20876, 262, 6814, 10872, 47939, 3637, 505, 49900, 360, 36813, 16, 4848, 478, 34010, 470, 325, 990, 29707, 756, 1034, 28236, 16, 1029, 9473, 12498, 1423, 20799, 18, 6158, 15508, 23481, 23089, 23051, 1624, 374, 2146, 5331, 17336, 8619, 413, 35745, 5688, 17152, 898, 7730, 1007, 478, 22552, 18217, 10455, 1116, 21045, 861, 365, 10666, 8099, 9246, 1552, 46792, 22767, 43168, 2725, 399, 4929, 15492, 364, 43734, 6814, 478, 45200, 1672, 470, 411, 6233, 16, 15027, 17985, 1737, 360, 10326, 43673, 19335, 9539, 6660, 6233, 11088, 39516, 401, 18, 439, 10384, 14314, 34476, 334, 20035, 16, 282, 970, 2875, 289, 7996, 3594, 3883, 285, 339, 39324, 1624, 898, 9538, 1007, 290, 14672, 547, 12441, 547, 5118, 18, 3557, 322, 2619, 25656, 1157, 20353, 294, 21935, 1175, 281, 29075, 15492, 649, 2887, 20840, 49142, 8231, 18, 1591, 12241, 3781, 17, 9952, 8231, 1175, 8977, 16, 374, 282, 40884, 35454, 2846, 19361, 26878, 14392, 11998, 434, 11413, 30, 1272, 411, 24862, 3594, 6905, 3623, 8231, 1175, 289, 1272, 411, 41612, 334, 520, 11436, 35731, 32305, 7233, 5119, 289, 12094, 8231, 1175, 18, 985, 44893, 282, 6233, 16, 4909, 1018, 14416, 282, 40884, 478, 12833, 23196, 33493, 3599, 282, 13957, 35439, 861, 5661, 1568, 27230, 10438, 510, 1055, 13860, 18, 20346, 282, 8231, 1175, 322, 5285, 4030, 16, 374, 8341, 15018, 487, 322, 687, 19633, 289, 1817, 1505, 8811, 6660, 6233, 16, 988, 15034, 709, 29707, 483, 16, 515, 289, 518, 16, 1085, 15272, 773, 6886, 590, 766, 22215, 1066, 18, 478, 677, 4301, 10438, 10412, 12369, 9080, 16, 961, 49019, 2219, 954, 8389, 45917, 18, 365, 6449, 1750, 10398, 1110, 6814, 16, 961, 26158, 17201, 16, 912, 19633, 26438, 4999, 16, 912, 8811, 12094, 770, 21746, 16, 7559, 5418, 21746, 16, 8947, 16, 502, 912, 475, 518, 16, 1085, 1943, 685, 9193, 2644, 541, 28981, 1721, 427, 5119, 289, 19302, 26889, 6457, 349, 867, 16, 753, 8811, 2417, 9529, 1617, 10722, 282, 5118, 281, 9449, 910, 510, 6442, 478, 46088, 18, 8381, 470, 282, 27246, 18, 365, 12500, 4440, 779, 8383, 1162, 18205, 282, 5579, 17, 13825, 16, 2588, 10258, 1011, 32922, 281, 16619, 306, 411, 3736, 346, 5722, 3334, 36178, 16, 19011, 8337, 761, 12130, 11552, 8231, 334, 5579, 17, 5147, 877, 289, 23856, 1767, 13536, 7188, 490, 40437, 1492, 2, 1, 87, 1456, 81, 2448, 30, 3096, 1033, 3405, 8187, 16711, 2044, 411, 27839, 1576, 4436, 2145, 20317, 9623, 282, 8144, 2418, 4238, 16, 6442, 282, 4900, 4261, 636, 22616, 2407, 18, 3397, 10933, 9637, 49754, 1871, 16775, 13436, 16, 5920, 1453, 10832, 350, 342, 21481, 309, 6594, 13784, 18, 3397, 6017, 1195, 2901, 17003, 45629, 10933, 385, 17, 4003, 16, 16713, 14965, 290, 2921, 1165, 27357, 2977, 1033, 46496, 25275, 18, 21552, 7225, 16145, 439, 5721, 1620, 586, 20333, 1496, 2815, 309, 803, 8011, 16, 374, 3196, 22625, 20024, 411, 1175, 322, 2125, 19821, 1279, 35401, 4000, 18, 31224, 30, 2176, 38974, 1530, 412, 320, 10763, 917, 4900, 21591, 367, 22616, 1175, 6118, 17, 42617, 4210, 16396, 680, 2815, 16, 374, 1871, 13436, 19215, 24253, 16, 10832, 350, 342, 6519, 567, 808, 13784, 2145, 289, 697, 20853, 2418, 4238, 16, 898, 40761, 282, 7522, 18, 478, 24785, 425, 8187, 322, 23980, 7868, 14248, 16, 334, 3025, 19175, 16, 411, 17, 431, 15662, 48663, 368, 16, 1650, 275, 17019, 22511, 22674, 7868, 289, 11337, 23806, 5303, 18, 17271, 411, 1129, 16, 282, 970, 2875, 17106, 3407, 30349, 23729, 5477, 4020, 79, 289, 5447, 9383, 8052, 26687, 30349, 16, 40761, 282, 7522, 910, 510, 2815, 6118, 17, 33074, 16, 12523, 13850, 33319, 2301, 478, 28801, 2563, 18739, 861, 824, 3163, 9322, 16, 8876, 8070, 21790, 17035, 448, 9872, 309, 8137, 13021, 289, 9025, 697, 13257, 289, 13156, 13784, 18, 985, 4848, 6118, 17, 42617, 16, 10744, 19215, 24253, 290, 970, 16, 374, 475, 722, 13436, 11596, 282, 3300, 16, 44218, 318, 18, 478, 33740, 15296, 3040, 5620, 31883, 10470, 1175, 34807, 1073, 2110, 8825, 10445, 16602, 18, 5452, 616, 448, 35274, 8187, 16, 20345, 21432, 368, 360, 19924, 291, 289, 4004, 4451, 8895, 7868, 4360, 2048, 5042, 16, 374, 411, 27839, 1576, 4436, 18218, 883, 282, 3948, 9623, 34320, 322, 1033, 3405, 411, 1129, 910, 510, 14268, 15811, 16396, 680, 18, 4756, 282, 9937, 16, 2706, 4238, 16, 8099, 7225, 16145, 439, 5721, 1620, 586, 20333, 1496, 2815, 16, 374, 15082, 14720, 4433, 3197, 2206, 3196, 40356, 5472, 322, 2993, 953, 25907, 1279, 35401, 4000, 16, 38802, 14647, 1133, 5792, 18, 365, 21514, 1750, 1312, 618, 31821, 1098, 473, 37594, 7225, 16145, 510, 478, 18386, 18, 8381, 9979, 840, 8714, 1279, 978, 20024, 16, 19755, 5037, 9322, 11413, 18, 385, 2184, 29582, 586, 20333, 1496, 12679, 3436, 4238, 16, 4538, 290, 14938, 2921, 1165, 9609, 22578, 2911, 17, 48471, 432, 25275, 385, 17, 18442, 478, 41469, 418, 2640, 470, 282, 2901, 1502, 2127, 11883, 2127, 7135, 454, 473, 563, 7290, 814, 21552, 7225, 16145, 9299, 16, 374, 505, 8768, 322, 18912, 1812, 567, 18192, 13450, 1133, 1101, 16, 2686, 322, 8350, 7412, 392, 289, 4310, 48140, 478, 324, 833, 1507, 385, 7290, 36907, 30029, 25970, 16, 961, 1747, 19196, 1279, 16145, 861, 4756, 7897, 282, 6798, 17, 488, 5386, 264, 5473, 30000, 2815, 40568, 1624, 374, 5343, 322, 15082, 332, 8144, 632, 27923, 385, 17, 18442, 18, 824, 505, 3352, 16, 1694, 7978, 385, 7290, 282, 1175, 472, 746, 347, 33072, 347, 347, 290, 970, 16, 374, 385, 17, 18442, 726, 349, 7367, 309, 45017, 11929, 662, 282, 8144, 16, 478, 404, 24706, 11129, 861, 3791, 18290, 10195, 9299, 16, 374, 309, 38257, 43645, 6114, 8144, 9523, 18799, 289, 10933, 22578, 7392, 2926, 4447, 13542, 16, 16970, 1527, 29083, 13465, 377, 1666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 323, 3599, 910, 2588, 18474, 8811, 17329, 6431, 16, 18932, 5688, 17152, 19902, 478, 293, 2430, 298, 766, 341, 470, 289, 7199, 38330, 16, 12509, 282, 23830, 16, 33060, 282, 8231, 3881, 354, 950, 18, 17944, 29707, 48773, 1858, 2438, 4702, 16, 294, 3130, 3424, 18474, 14891, 16, 961, 7650, 3003, 290, 10072, 10414, 16, 38407, 19902, 478, 598, 2736, 11165, 35648, 910, 5130, 282, 9907, 3781, 17, 14130, 18, 20431, 400, 29707, 756, 322, 3225, 30, 492, 16342, 282, 1281, 17, 295, 9207, 14154, 16, 322, 2270, 274, 282, 8433, 18, 4280, 21969, 29707, 756, 36680, 16, 374, 492, 3826, 1011, 44403, 13816, 282, 23567, 18, 20876, 262, 6814, 10872, 47939, 3637, 505, 49900, 360, 36813, 16, 4848, 478, 34010, 470, 325, 990, 29707, 756, 1034, 28236, 16, 1029, 9473, 12498, 1423, 20799, 18, 6158, 15508, 23481, 23089, 23051, 1624, 374, 2146, 5331, 17336, 8619, 413, 35745, 5688, 17152, 898, 7730, 1007, 478, 22552, 18217, 10455, 1116, 21045, 861, 365, 10666, 8099, 9246, 1552, 46792, 22767, 43168, 2725, 399, 4929, 15492, 364, 43734, 6814, 478, 45200, 1672, 470, 411, 6233, 16, 15027, 17985, 1737, 360, 10326, 43673, 19335, 9539, 6660, 6233, 11088, 39516, 401, 18, 439, 10384, 14314, 34476, 334, 20035, 16, 282, 970, 2875, 289, 7996, 3594, 3883, 285, 339, 39324, 1624, 898, 9538, 1007, 290, 14672, 547, 12441, 547, 5118, 18, 3557, 322, 2619, 25656, 1157, 20353, 294, 21935, 1175, 281, 29075, 15492, 649, 2887, 20840, 49142, 8231, 18, 1591, 12241, 3781, 17, 9952, 8231, 1175, 8977, 16, 374, 282, 40884, 35454, 2846, 19361, 26878, 14392, 11998, 434, 11413, 30, 1272, 411, 24862, 3594, 6905, 3623, 8231, 1175, 289, 1272, 411, 41612, 334, 520, 11436, 35731, 32305, 7233, 5119, 289, 12094, 8231, 1175, 18, 985, 44893, 282, 6233, 16, 4909, 1018, 14416, 282, 40884, 478, 12833, 23196, 33493, 3599, 282, 13957, 35439, 861, 5661, 1568, 27230, 10438, 510, 1055, 13860, 18, 20346, 282, 8231, 1175, 322, 5285, 4030, 16, 374, 8341, 15018, 487, 322, 687, 19633, 289, 1817, 1505, 8811, 6660, 6233, 16, 988, 15034, 709, 29707, 483, 16, 515, 289, 518, 16, 1085, 15272, 773, 6886, 590, 766, 22215, 1066, 18, 478, 677, 4301, 10438, 10412, 12369, 9080, 16, 961, 49019, 2219, 954, 8389, 45917, 18, 365, 6449, 1750, 10398, 1110, 6814, 16, 961, 26158, 17201, 16, 912, 19633, 26438, 4999, 16, 912, 8811, 12094, 770, 21746, 16, 7559, 5418, 21746, 16, 8947, 16, 502, 912, 475, 518, 16, 1085, 1943, 685, 9193, 2644, 541, 28981, 1721, 427, 5119, 289, 19302, 26889, 6457, 349, 867, 16, 753, 8811, 2417, 9529, 1617, 10722, 282, 5118, 281, 9449, 910, 510, 6442, 478, 46088, 18, 8381, 470, 282, 27246, 18, 365, 12500, 4440, 779, 8383, 1162, 18205, 282, 5579, 17, 13825, 16, 2588, 10258, 1011, 32922, 281, 16619, 306, 411, 3736, 346, 5722, 3334, 36178, 16, 19011, 8337, 761, 12130, 11552, 8231, 334, 5579, 17, 5147, 877, 289, 23856, 1767, 13536, 7188, 490, 40437, 1492, 2, 1, 87, 1456, 81, 2448, 30, 3096, 1033, 3405, 8187, 16711, 2044, 411, 27839, 1576, 4436, 2145, 20317, 9623, 282, 8144, 2418, 4238, 16, 6442, 282, 4900, 4261, 636, 22616, 2407, 18, 3397, 10933, 9637, 49754, 1871, 16775, 13436, 16, 5920, 1453, 10832, 350, 342, 21481, 309, 6594, 13784, 18, 3397, 6017, 1195, 2901, 17003, 45629, 10933, 385, 17, 4003, 16, 16713, 14965, 290, 2921, 1165, 27357, 2977, 1033, 46496, 25275, 18, 21552, 7225, 16145, 439, 5721, 1620, 586, 20333, 1496, 2815, 309, 803, 8011, 16, 374, 3196, 22625, 20024, 411, 1175, 322, 2125, 19821, 1279, 35401, 4000, 18, 31224, 30, 2176, 38974, 1530, 412, 320, 10763, 917, 4900, 21591, 367, 22616, 1175, 6118, 17, 42617, 4210, 16396, 680, 2815, 16, 374, 1871, 13436, 19215, 24253, 16, 10832, 350, 342, 6519, 567, 808, 13784, 2145, 289, 697, 20853, 2418, 4238, 16, 898, 40761, 282, 7522, 18, 478, 24785, 425, 8187, 322, 23980, 7868, 14248, 16, 334, 3025, 19175, 16, 411, 17, 431, 15662, 48663, 368, 16, 1650, 275, 17019, 22511, 22674, 7868, 289, 11337, 23806, 5303, 18, 17271, 411, 1129, 16, 282, 970, 2875, 17106, 3407, 30349, 23729, 5477, 4020, 79, 289, 5447, 9383, 8052, 26687, 30349, 16, 40761, 282, 7522, 910, 510, 2815, 6118, 17, 33074, 16, 12523, 13850, 33319, 2301, 478, 28801, 2563, 18739, 861, 824, 3163, 9322, 16, 8876, 8070, 21790, 17035, 448, 9872, 309, 8137, 13021, 289, 9025, 697, 13257, 289, 13156, 13784, 18, 985, 4848, 6118, 17, 42617, 16, 10744, 19215, 24253, 290, 970, 16, 374, 475, 722, 13436, 11596, 282, 3300, 16, 44218, 318, 18, 478, 33740, 15296, 3040, 5620, 31883, 10470, 1175, 34807, 1073, 2110, 8825, 10445, 16602, 18, 5452, 616, 448, 35274, 8187, 16, 20345, 21432, 368, 360, 19924, 291, 289, 4004, 4451, 8895, 7868, 4360, 2048, 5042, 16, 374, 411, 27839, 1576, 4436, 18218, 883, 282, 3948, 9623, 34320, 322, 1033, 3405, 411, 1129, 910, 510, 14268, 15811, 16396, 680, 18, 4756, 282, 9937, 16, 2706, 4238, 16, 8099, 7225, 16145, 439, 5721, 1620, 586, 20333, 1496, 2815, 16, 374, 15082, 14720, 4433, 3197, 2206, 3196, 40356, 5472, 322, 2993, 953, 25907, 1279, 35401, 4000, 16, 38802, 14647, 1133, 5792, 18, 365, 21514, 1750, 1312, 618, 31821, 1098, 473, 37594, 7225, 16145, 510, 478, 18386, 18, 8381, 9979, 840, 8714, 1279, 978, 20024, 16, 19755, 5037, 9322, 11413, 18, 385, 2184, 29582, 586, 20333, 1496, 12679, 3436, 4238, 16, 4538, 290, 14938, 2921, 1165, 9609, 22578, 2911, 17, 48471, 432, 25275, 385, 17, 18442, 478, 41469, 418, 2640, 470, 282, 2901, 1502, 2127, 11883, 2127, 7135, 454, 473, 563, 7290, 814, 21552, 7225, 16145, 9299, 16, 374, 505, 8768, 322, 18912, 1812, 567, 18192, 13450, 1133, 1101, 16, 2686, 322, 8350, 7412, 392, 289, 4310, 48140, 478, 324, 833, 1507, 385, 7290, 36907, 30029, 25970, 16, 961, 1747, 19196, 1279, 16145, 861, 4756, 7897, 282, 6798, 17, 488, 5386, 264, 5473, 30000, 2815, 40568, 1624, 374, 5343, 322, 15082, 332, 8144, 632, 27923, 385, 17, 18442, 18, 824, 505, 3352, 16, 1694, 7978, 385, 7290, 282, 1175, 472, 746, 347, 33072, 347, 347, 290, 970, 16, 374, 385, 17, 18442, 726, 349, 7367, 309, 45017, 11929, 662, 282, 8144, 16, 478, 404, 24706, 11129, 861, 3791, 18290, 10195, 9299, 16, 374, 309, 38257, 43645, 6114, 8144, 9523, 18799, 289, 10933, 22578, 7392, 2926, 4447, 13542, 16, 16970, 1527, 29083, 13465, 377, 1666 ]
[ 17, 563, 21, 16, 515, 385, 17, 18442, 1003, 18, 967, 803, 46984, 7920, 16934, 334, 25152, 289, 3623, 9543, 1034, 560, 266, 2931, 2815, 391, 26448, 1624, 374, 371, 5941, 3771, 895, 8658, 282, 38104, 1033, 13386, 28600, 385, 17, 24342, 18, 478, 19022, 11048, 16, 1586, 906, 16, 5092, 289, 309, 9837, 1119, 18, 981, 16, 2874, 29083, 16190, 4981, 5259, 17, 292, 16, 6459, 17, 292, 16, 6374, 17, 292, 5521, 2994, 30414, 3931, 65, 12362, 1423, 744, 263, 42787, 18, 9418, 281, 867, 912, 2678, 21137, 7581, 28600, 18, 385, 1335, 5173, 656, 322, 5285, 27895, 14924, 10139, 385, 17, 18442, 18, 3397, 1122, 385, 17, 4003, 9523, 16, 656, 18075, 2445, 309, 385, 17, 18442, 18, 967, 5941, 1747, 41713, 385, 17, 24342, 910, 510, 4725, 11919, 1502, 18, 3703, 4238, 5037, 11896, 1175, 4210, 26319, 282, 1078, 309, 1247, 290, 14938, 2921, 1165, 385, 17, 18442, 282, 38104, 2815, 16, 374, 322, 895, 2023, 290, 970, 16, 374, 478, 275, 7035, 1142, 286, 861, 478, 4348, 7836, 16, 374, 1109, 4770, 1175, 365, 18, 365, 18, 6732, 18, 817, 8271, 2077, 870, 3586, 281, 27193, 3662, 12967, 7225, 282, 22668, 9722, 48037, 1288, 427, 924, 16, 753, 2901, 1502, 1162, 37225, 1162, 24390, 5915, 11771, 2828, 6063, 294, 14377, 536, 1069, 2675, 16, 33457, 924, 16, 1029, 12665, 2418, 4238, 910, 510, 4725, 8099, 7796, 1552, 2407, 18, 26319, 5692, 16, 374, 1513, 27855, 23190, 4075, 18, 478, 40954, 16, 1336, 5522, 6789, 322, 27827, 16, 475, 481, 895, 953, 1629, 1569, 910, 510, 4725, 5037, 11896, 18, 4756, 13156, 478, 38505, 470, 282, 6798, 17, 488, 5386, 264, 5473, 27491, 1175, 12002, 16, 374, 1247, 290, 23462, 8144, 22578, 2911, 17, 48471, 432, 25275, 385, 17, 18442, 478, 24837, 2328, 1142, 286, 861, 14247, 792, 1013, 385, 17, 18442, 289, 24528, 33331, 9202, 1747, 40761, 282, 385, 7290, 2988, 9640, 35058, 1175, 16, 2988, 281, 3195, 8312, 15440, 18, 31868, 2357, 3741, 4076, 28600, 2993, 23124, 7596, 34692, 289, 24253, 567, 7410, 281, 2145, 43118, 33297, 15809, 334, 43445, 38773, 17213, 18, 16424, 46194, 307, 11049, 4461, 28600, 16, 334, 3163, 11861, 16, 2879, 13864, 322, 687, 27357, 328, 16, 515, 289, 1293, 6684, 3170, 16, 988, 6170, 435, 377, 6025, 6798, 17, 29223, 14351, 8144, 289, 6535, 9637, 7910, 1250, 411, 18924, 473, 11838, 16, 27762, 14850, 33005, 1155, 289, 457, 17, 24, 814, 824, 25036, 6684, 14971, 16, 541, 18533, 2567, 9722, 2397, 5667, 39917, 282, 38104, 322, 2619, 3437, 17, 10356, 10752, 25308, 1970, 385, 17, 18442, 18, 365, 3507, 25156, 16, 374, 25033, 13840, 16, 1033, 46496, 4076, 28600, 282, 8144, 8350, 27357, 2977, 281, 8698, 3799, 1330, 7685, 1676, 7514, 448, 15809, 16145, 289, 2145, 16, 367, 1038, 21030, 1333, 18, 640, 5421, 1119, 1011, 8187, 416, 13784, 309, 13961, 282, 385, 7290, 4770, 2553, 20886, 441, 439, 3375, 8052, 22246, 18799, 22578, 2911, 17, 48471, 448, 2926, 18, 37540, 8144, 5692, 16, 374, 5472, 4981, 3875, 764, 11238, 17, 292, 5521, 478, 293, 18297, 857, 5472, 45450, 3690, 861, 2, 1, 87, 1456, 81, 2448, 30, 22681, 2145, 36176, 28565, 25599, 1728, 46436, 274, 9783, 9255, 403, 897, 7671, 282, 3106, 2236, 411, 16249, 309, 3059, 6677, 14392, 23127, 1642, 18, 824, 3761, 10195, 16, 28565, 289, 403, 897, 1458, 726, 10258, 9744, 334, 5083, 10781, 309, 8892, 6677, 14392, 18, 25582, 12101, 5037, 14392, 23127, 1642, 6260, 34431, 16, 1029, 50234, 1595, 3059, 519, 3915, 16642, 779, 16, 478, 275, 19468, 470, 411, 17, 431, 5703, 9079, 4830, 2145, 289, 505, 35366, 6061, 382, 28565, 289, 722, 17653, 403, 897, 7671, 16, 2588, 745, 29240, 282, 505, 15369, 7025, 18, 31224, 30, 822, 626, 402, 403, 897, 1458, 16, 325, 990, 4830, 2145, 5035, 35109, 28565, 367, 16, 895, 13898, 3059, 6677, 14392, 23127, 1642, 18, 3782, 991, 382, 282, 10434, 34031, 17700, 281, 21083, 416, 6576, 1330, 18, 640, 13519, 11056, 4770, 3828, 16, 374, 5037, 6937, 6260, 34431, 21159, 282, 16294, 519, 3915, 779, 18, 18162, 8892, 34431, 16, 11350, 17, 13522, 11574, 3623, 2145, 289, 8337, 416, 6118, 9890, 13374, 26354, 16, 17455, 281, 7847, 779, 18, 29765, 1273, 4339, 8000, 16303, 44262, 16, 374, 282, 16294, 492, 12144, 478, 275, 19468, 470, 411, 17, 431, 5703, 16, 2588, 29240, 282, 505, 15369, 7025, 6304, 4830, 2145, 289, 505, 22294, 6061, 343, 28565, 289, 722, 9195, 403, 897, 1458, 18, 415, 2259, 26958, 31330, 34431, 16775, 5792, 33060, 764, 282, 3998, 16952, 18, 6592, 3352, 44938, 16, 17708, 1251, 18813, 14392, 289, 12984, 282, 5975, 808, 322, 22373, 4688, 18, 2052, 22203, 2750, 14694, 294, 2222, 16, 374, 34431, 322, 24144, 281, 16078, 3258, 18, 365, 4810, 16, 428, 3110, 24036, 16, 2059, 411, 4284, 541, 11220, 12393, 1154, 4307, 2135, 26551, 9383, 11268, 13279, 15465, 16, 281, 1754, 5037, 6937, 322, 7214, 18, 2263, 575, 34431, 16, 349, 22603, 309, 8892, 282, 6104, 1045, 16, 1038, 15130, 4307, 3450, 13354, 16, 515, 3960, 23127, 1642, 16, 828, 5823, 46119, 6061, 343, 289, 9783, 402, 403, 897, 1458, 18, 9668, 6937, 34031, 19094, 349, 49118, 4999, 12717, 6814, 294, 8120, 536, 38271, 18, 403, 897, 1458, 6088, 349, 1977, 496, 18, 5360, 639, 6309, 315, 282, 49594, 294, 3818, 13842, 289, 8120, 536, 3477, 11293, 18, 6061, 343, 289, 9783, 402, 5658, 16, 374, 3193, 14008, 34431, 898, 2219, 1007, 5112, 1279, 403, 897, 7671, 16, 2686, 583, 5037, 14392, 23127, 1642, 481, 38296, 300, 18, 478, 4441, 25907, 322, 309, 9783, 9255, 16, 367, 309, 502, 16, 753, 19338, 2700, 30690, 6138, 910, 510, 2815, 1655, 34431, 18, 7699, 22062, 1038, 36680, 16, 374, 5037, 6937, 35801, 867, 16, 374, 424, 17566, 9079, 289, 722, 17653, 36176, 895, 282, 4722, 2083, 12631, 1617, 4075, 18, 9967, 282, 11673, 43817, 6605, 5825, 16, 374, 28565, 726, 33978, 305, 290, 970, 16, 374, 42926, 3729, 7032, 1360, 5169, 453, 8690, 294, 3705, 282, 4377, 304, 4122, 18, 7699, 13156, 33060, 16, 374, 4770, 12453, 34431, 4080, 17, 299, 2175, 35212, 697, 7957, 18, 5043, 16, 827, 1542, 5825, 289, 28592, 1063, 16, 502, 6730, 3207, 8830, 18447, 1712, 282, 11130, 8385, 504, 10478, 41882, 1486, 347, 478, 21292, 292, 18, 28565, 282, 4377, 304, 4122, 910, 282, 1754, 898, 31323, 7337, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17, 563, 21, 16, 515, 385, 17, 18442, 1003, 18, 967, 803, 46984, 7920, 16934, 334, 25152, 289, 3623, 9543, 1034, 560, 266, 2931, 2815, 391, 26448, 1624, 374, 371, 5941, 3771, 895, 8658, 282, 38104, 1033, 13386, 28600, 385, 17, 24342, 18, 478, 19022, 11048, 16, 1586, 906, 16, 5092, 289, 309, 9837, 1119, 18, 981, 16, 2874, 29083, 16190, 4981, 5259, 17, 292, 16, 6459, 17, 292, 16, 6374, 17, 292, 5521, 2994, 30414, 3931, 65, 12362, 1423, 744, 263, 42787, 18, 9418, 281, 867, 912, 2678, 21137, 7581, 28600, 18, 385, 1335, 5173, 656, 322, 5285, 27895, 14924, 10139, 385, 17, 18442, 18, 3397, 1122, 385, 17, 4003, 9523, 16, 656, 18075, 2445, 309, 385, 17, 18442, 18, 967, 5941, 1747, 41713, 385, 17, 24342, 910, 510, 4725, 11919, 1502, 18, 3703, 4238, 5037, 11896, 1175, 4210, 26319, 282, 1078, 309, 1247, 290, 14938, 2921, 1165, 385, 17, 18442, 282, 38104, 2815, 16, 374, 322, 895, 2023, 290, 970, 16, 374, 478, 275, 7035, 1142, 286, 861, 478, 4348, 7836, 16, 374, 1109, 4770, 1175, 365, 18, 365, 18, 6732, 18, 817, 8271, 2077, 870, 3586, 281, 27193, 3662, 12967, 7225, 282, 22668, 9722, 48037, 1288, 427, 924, 16, 753, 2901, 1502, 1162, 37225, 1162, 24390, 5915, 11771, 2828, 6063, 294, 14377, 536, 1069, 2675, 16, 33457, 924, 16, 1029, 12665, 2418, 4238, 910, 510, 4725, 8099, 7796, 1552, 2407, 18, 26319, 5692, 16, 374, 1513, 27855, 23190, 4075, 18, 478, 40954, 16, 1336, 5522, 6789, 322, 27827, 16, 475, 481, 895, 953, 1629, 1569, 910, 510, 4725, 5037, 11896, 18, 4756, 13156, 478, 38505, 470, 282, 6798, 17, 488, 5386, 264, 5473, 27491, 1175, 12002, 16, 374, 1247, 290, 23462, 8144, 22578, 2911, 17, 48471, 432, 25275, 385, 17, 18442, 478, 24837, 2328, 1142, 286, 861, 14247, 792, 1013, 385, 17, 18442, 289, 24528, 33331, 9202, 1747, 40761, 282, 385, 7290, 2988, 9640, 35058, 1175, 16, 2988, 281, 3195, 8312, 15440, 18, 31868, 2357, 3741, 4076, 28600, 2993, 23124, 7596, 34692, 289, 24253, 567, 7410, 281, 2145, 43118, 33297, 15809, 334, 43445, 38773, 17213, 18, 16424, 46194, 307, 11049, 4461, 28600, 16, 334, 3163, 11861, 16, 2879, 13864, 322, 687, 27357, 328, 16, 515, 289, 1293, 6684, 3170, 16, 988, 6170, 435, 377, 6025, 6798, 17, 29223, 14351, 8144, 289, 6535, 9637, 7910, 1250, 411, 18924, 473, 11838, 16, 27762, 14850, 33005, 1155, 289, 457, 17, 24, 814, 824, 25036, 6684, 14971, 16, 541, 18533, 2567, 9722, 2397, 5667, 39917, 282, 38104, 322, 2619, 3437, 17, 10356, 10752, 25308, 1970, 385, 17, 18442, 18, 365, 3507, 25156, 16, 374, 25033, 13840, 16, 1033, 46496, 4076, 28600, 282, 8144, 8350, 27357, 2977, 281, 8698, 3799, 1330, 7685, 1676, 7514, 448, 15809, 16145, 289, 2145, 16, 367, 1038, 21030, 1333, 18, 640, 5421, 1119, 1011, 8187, 416, 13784, 309, 13961, 282, 385, 7290, 4770, 2553, 20886, 441, 439, 3375, 8052, 22246, 18799, 22578, 2911, 17, 48471, 448, 2926, 18, 37540, 8144, 5692, 16, 374, 5472, 4981, 3875, 764, 11238, 17, 292, 5521, 478, 293, 18297, 857, 5472, 45450, 3690, 861, 2, 1, 87, 1456, 81, 2448, 30, 22681, 2145, 36176, 28565, 25599, 1728, 46436, 274, 9783, 9255, 403, 897, 7671, 282, 3106, 2236, 411, 16249, 309, 3059, 6677, 14392, 23127, 1642, 18, 824, 3761, 10195, 16, 28565, 289, 403, 897, 1458, 726, 10258, 9744, 334, 5083, 10781, 309, 8892, 6677, 14392, 18, 25582, 12101, 5037, 14392, 23127, 1642, 6260, 34431, 16, 1029, 50234, 1595, 3059, 519, 3915, 16642, 779, 16, 478, 275, 19468, 470, 411, 17, 431, 5703, 9079, 4830, 2145, 289, 505, 35366, 6061, 382, 28565, 289, 722, 17653, 403, 897, 7671, 16, 2588, 745, 29240, 282, 505, 15369, 7025, 18, 31224, 30, 822, 626, 402, 403, 897, 1458, 16, 325, 990, 4830, 2145, 5035, 35109, 28565, 367, 16, 895, 13898, 3059, 6677, 14392, 23127, 1642, 18, 3782, 991, 382, 282, 10434, 34031, 17700, 281, 21083, 416, 6576, 1330, 18, 640, 13519, 11056, 4770, 3828, 16, 374, 5037, 6937, 6260, 34431, 21159, 282, 16294, 519, 3915, 779, 18, 18162, 8892, 34431, 16, 11350, 17, 13522, 11574, 3623, 2145, 289, 8337, 416, 6118, 9890, 13374, 26354, 16, 17455, 281, 7847, 779, 18, 29765, 1273, 4339, 8000, 16303, 44262, 16, 374, 282, 16294, 492, 12144, 478, 275, 19468, 470, 411, 17, 431, 5703, 16, 2588, 29240, 282, 505, 15369, 7025, 6304, 4830, 2145, 289, 505, 22294, 6061, 343, 28565, 289, 722, 9195, 403, 897, 1458, 18, 415, 2259, 26958, 31330, 34431, 16775, 5792, 33060, 764, 282, 3998, 16952, 18, 6592, 3352, 44938, 16, 17708, 1251, 18813, 14392, 289, 12984, 282, 5975, 808, 322, 22373, 4688, 18, 2052, 22203, 2750, 14694, 294, 2222, 16, 374, 34431, 322, 24144, 281, 16078, 3258, 18, 365, 4810, 16, 428, 3110, 24036, 16, 2059, 411, 4284, 541, 11220, 12393, 1154, 4307, 2135, 26551, 9383, 11268, 13279, 15465, 16, 281, 1754, 5037, 6937, 322, 7214, 18, 2263, 575, 34431, 16, 349, 22603, 309, 8892, 282, 6104, 1045, 16, 1038, 15130, 4307, 3450, 13354, 16, 515, 3960, 23127, 1642, 16, 828, 5823, 46119, 6061, 343, 289, 9783, 402, 403, 897, 1458, 18, 9668, 6937, 34031, 19094, 349, 49118, 4999, 12717, 6814, 294, 8120, 536, 38271, 18, 403, 897, 1458, 6088, 349, 1977, 496, 18, 5360, 639, 6309, 315, 282, 49594, 294, 3818, 13842, 289, 8120, 536, 3477, 11293, 18, 6061, 343, 289, 9783, 402, 5658, 16, 374, 3193, 14008, 34431, 898, 2219, 1007, 5112, 1279, 403, 897, 7671, 16, 2686, 583, 5037, 14392, 23127, 1642, 481, 38296, 300, 18, 478, 4441, 25907, 322, 309, 9783, 9255, 16, 367, 309, 502, 16, 753, 19338, 2700, 30690, 6138, 910, 510, 2815, 1655, 34431, 18, 7699, 22062, 1038, 36680, 16, 374, 5037, 6937, 35801, 867, 16, 374, 424, 17566, 9079, 289, 722, 17653, 36176, 895, 282, 4722, 2083, 12631, 1617, 4075, 18, 9967, 282, 11673, 43817, 6605, 5825, 16, 374, 28565, 726, 33978, 305, 290, 970, 16, 374, 42926, 3729, 7032, 1360, 5169, 453, 8690, 294, 3705, 282, 4377, 304, 4122, 18, 7699, 13156, 33060, 16, 374, 4770, 12453, 34431, 4080, 17, 299, 2175, 35212, 697, 7957, 18, 5043, 16, 827, 1542, 5825, 289, 28592, 1063, 16, 502, 6730, 3207, 8830, 18447, 1712, 282, 11130, 8385, 504, 10478, 41882, 1486, 347, 478, 21292, 292, 18, 28565, 282, 4377, 304, 4122, 910, 282, 1754, 898, 31323, 7337, 281 ]
[ 15302, 6043, 3317, 18, 4663, 24741, 898, 9910, 7372, 1479, 24225, 1810, 34031, 309, 13314, 4830, 2145, 18, 12824, 411, 14582, 4556, 1559, 583, 6260, 34431, 16, 367, 309, 19616, 10195, 898, 34110, 505, 1694, 16, 856, 2906, 282, 41966, 16116, 510, 697, 13598, 4552, 1100, 23488, 451, 7897, 18, 478, 3001, 18173, 18, 459, 481, 12927, 510, 20982, 505, 282, 828, 17, 299, 15408, 817, 281, 32165, 3562, 28584, 310, 18, 1345, 1373, 475, 20991, 282, 13231, 2529, 4122, 18, 629, 322, 2060, 16, 2006, 656, 475, 1373, 13712, 18, 889, 6917, 2903, 1712, 1372, 16, 2588, 417, 5195, 910, 510, 10624, 3064, 41882, 1486, 280, 1694, 34431, 18, 2046, 5037, 6937, 23127, 1642, 20075, 14027, 4041, 23171, 4371, 16, 10180, 6954, 8121, 4556, 282, 7628, 30594, 18, 2877, 575, 34431, 37467, 478, 267, 1000, 267, 24795, 914, 861, 38160, 1273, 4339, 8000, 16303, 1629, 576, 16, 374, 28565, 19944, 16, 1513, 520, 505, 15369, 2795, 18, 365, 803, 16992, 28565, 478, 431, 42455, 4887, 41364, 470, 477, 2200, 46436, 339, 16, 1029, 1974, 281, 6061, 761, 41043, 4110, 37917, 8653, 17, 11884, 6677, 14392, 9541, 17, 40000, 2145, 23297, 7070, 320, 507, 16, 5301, 49077, 56, 18, 2046, 583, 7070, 1396, 3828, 16, 374, 2859, 31241, 7059, 34031, 18, 2263, 13205, 4770, 282, 2343, 9220, 1027, 5576, 3828, 282, 3177, 43287, 16, 374, 322, 3365, 16, 1085, 8018, 266, 34431, 18, 478, 1140, 703, 912, 32293, 47883, 309, 10839, 6677, 6937, 23127, 1642, 655, 510, 6463, 492, 282, 15797, 282, 11084, 18, 510, 4777, 2493, 417, 371, 597, 3003, 4271, 365, 2145, 16, 867, 5547, 16, 10828, 414, 16, 1085, 24687, 3059, 18, 33825, 1262, 12177, 7514, 432, 16249, 30, 31279, 4111, 17, 298, 2731, 1310, 613, 23932, 44376, 262, 6041, 16, 20840, 15310, 6365, 2145, 12458, 798, 421, 392, 1429, 16, 8840, 31501, 17, 47044, 434, 3594, 23127, 1642, 34439, 5573, 275, 337, 289, 35366, 9541, 17, 40000, 2145, 31793, 1367, 419, 18, 632, 990, 4830, 2145, 322, 30519, 3064, 2496, 14938, 16249, 519, 22125, 2299, 18, 459, 827, 4419, 492, 1103, 420, 4041, 23297, 7070, 30380, 16, 502, 1441, 10958, 1273, 1021, 12493, 12577, 22172, 3110, 16, 374, 403, 897, 1458, 16, 1029, 1314, 1623, 26253, 50227, 34031, 16, 583, 36042, 1829, 4830, 16, 374, 1904, 9378, 541, 5703, 6677, 14392, 18, 824, 3761, 1273, 1021, 12493, 12577, 22172, 16, 28565, 289, 403, 897, 1458, 726, 10258, 9744, 334, 5083, 10781, 309, 8892, 6677, 14392, 18, 4663, 7005, 282, 5734, 2083, 48885, 18, 10527, 24174, 9783, 9255, 403, 897, 7671, 2826, 2397, 5907, 6007, 282, 3705, 23127, 1642, 18, 817, 36289, 3441, 411, 14795, 1503, 39670, 40616, 6271, 282, 6835, 17, 17553, 18, 365, 25307, 34031, 282, 37965, 10296, 4145, 779, 912, 1169, 21537, 14702, 25428, 9783, 9255, 403, 897, 7671, 18, 817, 13694, 3455, 3716, 282, 7252, 13835, 464, 27803, 416, 25678, 18, 365, 2145, 505, 13585, 1804, 12096, 23049, 27803, 416, 4966, 34031, 18, 385, 17696, 403, 897, 7671, 898, 45636, 282, 16294, 3888, 8811, 13279, 4830, 18, 996, 16, 3057, 16, 22062, 6881, 16, 374, 1717, 403, 897, 1458, 25760, 3064, 15369, 3162, 2236, 411, 24083, 22747, 1051, 4830, 6315, 507, 19340, 1624, 1029, 14084, 4193, 668, 8616, 34031, 1833, 1011, 505, 9764, 309, 10296, 18, 7743, 282, 970, 16, 374, 19340, 16, 785, 17, 299, 2412, 1779, 3059, 15046, 24979, 17240, 6835, 17, 10594, 47015, 16, 24132, 17703, 8124, 20155, 431, 403, 897, 7671, 16, 4576, 9190, 15294, 35366, 4830, 2145, 18, 48371, 5792, 36680, 16, 374, 2733, 2175, 16, 9783, 402, 21372, 3729, 19340, 6396, 2287, 986, 18, 4635, 403, 897, 1458, 8103, 25884, 3064, 4770, 2127, 30183, 5035, 35109, 34031, 282, 17757, 5324, 18, 9668, 2241, 3783, 4423, 1913, 980, 16, 282, 2452, 1754, 8034, 10982, 1624, 22605, 47087, 21042, 27834, 16, 374, 1717, 325, 990, 14268, 34031, 294, 25307, 309, 10296, 282, 4145, 1045, 18, 29951, 22294, 4830, 2145, 7990, 282, 6598, 963, 38489, 17134, 1901, 36859, 512, 18, 365, 5021, 1045, 16, 785, 492, 289, 6061, 343, 5658, 33688, 506, 16, 1450, 3711, 5134, 48410, 12058, 18, 16842, 39845, 10681, 3788, 10825, 289, 7860, 2625, 2745, 516, 456, 15751, 1634, 2533, 18, 1273, 1021, 12493, 12577, 22172, 16, 7089, 16, 14676, 2904, 309, 502, 16, 374, 9783, 402, 289, 6061, 343, 16, 5938, 3640, 7715, 16, 603, 2374, 3236, 360, 1810, 334, 36940, 277, 16, 282, 44658, 14916, 18, 33671, 10195, 16170, 16, 374, 1717, 282, 1177, 31586, 1119, 13205, 4770, 5073, 4289, 8015, 21088, 10744, 289, 13765, 305, 15734, 5643, 311, 275, 5782, 18, 7249, 309, 7814, 9985, 6507, 4626, 403, 897, 1458, 11451, 13694, 3455, 670, 575, 583, 4296, 9744, 281, 41006, 1888, 2044, 18, 36176, 28565, 22646, 364, 309, 46436, 274, 5065, 20597, 541, 2145, 10784, 16, 428, 26896, 564, 3361, 281, 7596, 36514, 18, 478, 822, 626, 402, 510, 8462, 451, 6057, 16, 492, 3168, 759, 12735, 334, 7596, 34692, 16, 2486, 2504, 1143, 322, 5304, 24564, 910, 510, 22014, 28565, 18, 2949, 924, 16, 492, 685, 1279, 4075, 34031, 290, 20228, 411, 13734, 718, 11418, 334, 14077, 552, 16, 367, 1038, 9996, 3064, 24877, 4830, 381, 10695, 2431, 835, 289, 2593, 586, 15997, 789, 17, 3008, 1859, 366, 2553, 289, 22861, 24163, 366, 18, 20405, 1038, 16, 374, 9783, 402, 403, 897, 1458, 15097, 349, 28609, 7080, 2145, 289, 11612, 18, 4635, 492, 16480, 9405, 6007, 282, 3320, 17761, 11050, 25198, 2901, 1312, 39616, 20801, 282, 22154, 18, 478, 40050, 1133, 28174, 3247, 45691, 16, 374, 28565, 1623, 29815, 1116, 5406, 16, 7386, 536, 294, 15734, 12231, 10744, 277, 16, 2686, 745, 6547, 334, 5833, 3538, 1176, 2490, 1270, 5042, 30, 371, 16078, 1035, 282, 30967, 1743, 3014, 4417, 281, 505, 46436, 339, 910, 510, 19539, 1273, 4339, 8000, 16303, 18, 1937, 28565, 30682, 8955, 309, 37965, 10296, 16, 3333, 898, 11680, 16, 374, 403, 897, 1458, 24687, 8892, 12130, 6937, 23127, 1642, 18, 2046, 492, 1559, 26253, 50227, 34031, 16, 6309, 1752, 360, 19304, 16, 753, 322, 32273, 1568, 16, 4092, 40139, 1087, 10614, 5368, 7099, 309, 2768, 15311, 18, 2877, 575, 329, 403, 897, 7671, 6181, 2992, 9700, 16, 753, 43381, 44443, 18, 2, 1, 87, 1456, 81, 2448, 30, 24569, 3778, 448, 17221, 560, 33134, 11923, 17639, 36405, 276, 47163, 289, 531, 1602, 24792, 17, 280, 11478, 1051 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15302, 6043, 3317, 18, 4663, 24741, 898, 9910, 7372, 1479, 24225, 1810, 34031, 309, 13314, 4830, 2145, 18, 12824, 411, 14582, 4556, 1559, 583, 6260, 34431, 16, 367, 309, 19616, 10195, 898, 34110, 505, 1694, 16, 856, 2906, 282, 41966, 16116, 510, 697, 13598, 4552, 1100, 23488, 451, 7897, 18, 478, 3001, 18173, 18, 459, 481, 12927, 510, 20982, 505, 282, 828, 17, 299, 15408, 817, 281, 32165, 3562, 28584, 310, 18, 1345, 1373, 475, 20991, 282, 13231, 2529, 4122, 18, 629, 322, 2060, 16, 2006, 656, 475, 1373, 13712, 18, 889, 6917, 2903, 1712, 1372, 16, 2588, 417, 5195, 910, 510, 10624, 3064, 41882, 1486, 280, 1694, 34431, 18, 2046, 5037, 6937, 23127, 1642, 20075, 14027, 4041, 23171, 4371, 16, 10180, 6954, 8121, 4556, 282, 7628, 30594, 18, 2877, 575, 34431, 37467, 478, 267, 1000, 267, 24795, 914, 861, 38160, 1273, 4339, 8000, 16303, 1629, 576, 16, 374, 28565, 19944, 16, 1513, 520, 505, 15369, 2795, 18, 365, 803, 16992, 28565, 478, 431, 42455, 4887, 41364, 470, 477, 2200, 46436, 339, 16, 1029, 1974, 281, 6061, 761, 41043, 4110, 37917, 8653, 17, 11884, 6677, 14392, 9541, 17, 40000, 2145, 23297, 7070, 320, 507, 16, 5301, 49077, 56, 18, 2046, 583, 7070, 1396, 3828, 16, 374, 2859, 31241, 7059, 34031, 18, 2263, 13205, 4770, 282, 2343, 9220, 1027, 5576, 3828, 282, 3177, 43287, 16, 374, 322, 3365, 16, 1085, 8018, 266, 34431, 18, 478, 1140, 703, 912, 32293, 47883, 309, 10839, 6677, 6937, 23127, 1642, 655, 510, 6463, 492, 282, 15797, 282, 11084, 18, 510, 4777, 2493, 417, 371, 597, 3003, 4271, 365, 2145, 16, 867, 5547, 16, 10828, 414, 16, 1085, 24687, 3059, 18, 33825, 1262, 12177, 7514, 432, 16249, 30, 31279, 4111, 17, 298, 2731, 1310, 613, 23932, 44376, 262, 6041, 16, 20840, 15310, 6365, 2145, 12458, 798, 421, 392, 1429, 16, 8840, 31501, 17, 47044, 434, 3594, 23127, 1642, 34439, 5573, 275, 337, 289, 35366, 9541, 17, 40000, 2145, 31793, 1367, 419, 18, 632, 990, 4830, 2145, 322, 30519, 3064, 2496, 14938, 16249, 519, 22125, 2299, 18, 459, 827, 4419, 492, 1103, 420, 4041, 23297, 7070, 30380, 16, 502, 1441, 10958, 1273, 1021, 12493, 12577, 22172, 3110, 16, 374, 403, 897, 1458, 16, 1029, 1314, 1623, 26253, 50227, 34031, 16, 583, 36042, 1829, 4830, 16, 374, 1904, 9378, 541, 5703, 6677, 14392, 18, 824, 3761, 1273, 1021, 12493, 12577, 22172, 16, 28565, 289, 403, 897, 1458, 726, 10258, 9744, 334, 5083, 10781, 309, 8892, 6677, 14392, 18, 4663, 7005, 282, 5734, 2083, 48885, 18, 10527, 24174, 9783, 9255, 403, 897, 7671, 2826, 2397, 5907, 6007, 282, 3705, 23127, 1642, 18, 817, 36289, 3441, 411, 14795, 1503, 39670, 40616, 6271, 282, 6835, 17, 17553, 18, 365, 25307, 34031, 282, 37965, 10296, 4145, 779, 912, 1169, 21537, 14702, 25428, 9783, 9255, 403, 897, 7671, 18, 817, 13694, 3455, 3716, 282, 7252, 13835, 464, 27803, 416, 25678, 18, 365, 2145, 505, 13585, 1804, 12096, 23049, 27803, 416, 4966, 34031, 18, 385, 17696, 403, 897, 7671, 898, 45636, 282, 16294, 3888, 8811, 13279, 4830, 18, 996, 16, 3057, 16, 22062, 6881, 16, 374, 1717, 403, 897, 1458, 25760, 3064, 15369, 3162, 2236, 411, 24083, 22747, 1051, 4830, 6315, 507, 19340, 1624, 1029, 14084, 4193, 668, 8616, 34031, 1833, 1011, 505, 9764, 309, 10296, 18, 7743, 282, 970, 16, 374, 19340, 16, 785, 17, 299, 2412, 1779, 3059, 15046, 24979, 17240, 6835, 17, 10594, 47015, 16, 24132, 17703, 8124, 20155, 431, 403, 897, 7671, 16, 4576, 9190, 15294, 35366, 4830, 2145, 18, 48371, 5792, 36680, 16, 374, 2733, 2175, 16, 9783, 402, 21372, 3729, 19340, 6396, 2287, 986, 18, 4635, 403, 897, 1458, 8103, 25884, 3064, 4770, 2127, 30183, 5035, 35109, 34031, 282, 17757, 5324, 18, 9668, 2241, 3783, 4423, 1913, 980, 16, 282, 2452, 1754, 8034, 10982, 1624, 22605, 47087, 21042, 27834, 16, 374, 1717, 325, 990, 14268, 34031, 294, 25307, 309, 10296, 282, 4145, 1045, 18, 29951, 22294, 4830, 2145, 7990, 282, 6598, 963, 38489, 17134, 1901, 36859, 512, 18, 365, 5021, 1045, 16, 785, 492, 289, 6061, 343, 5658, 33688, 506, 16, 1450, 3711, 5134, 48410, 12058, 18, 16842, 39845, 10681, 3788, 10825, 289, 7860, 2625, 2745, 516, 456, 15751, 1634, 2533, 18, 1273, 1021, 12493, 12577, 22172, 16, 7089, 16, 14676, 2904, 309, 502, 16, 374, 9783, 402, 289, 6061, 343, 16, 5938, 3640, 7715, 16, 603, 2374, 3236, 360, 1810, 334, 36940, 277, 16, 282, 44658, 14916, 18, 33671, 10195, 16170, 16, 374, 1717, 282, 1177, 31586, 1119, 13205, 4770, 5073, 4289, 8015, 21088, 10744, 289, 13765, 305, 15734, 5643, 311, 275, 5782, 18, 7249, 309, 7814, 9985, 6507, 4626, 403, 897, 1458, 11451, 13694, 3455, 670, 575, 583, 4296, 9744, 281, 41006, 1888, 2044, 18, 36176, 28565, 22646, 364, 309, 46436, 274, 5065, 20597, 541, 2145, 10784, 16, 428, 26896, 564, 3361, 281, 7596, 36514, 18, 478, 822, 626, 402, 510, 8462, 451, 6057, 16, 492, 3168, 759, 12735, 334, 7596, 34692, 16, 2486, 2504, 1143, 322, 5304, 24564, 910, 510, 22014, 28565, 18, 2949, 924, 16, 492, 685, 1279, 4075, 34031, 290, 20228, 411, 13734, 718, 11418, 334, 14077, 552, 16, 367, 1038, 9996, 3064, 24877, 4830, 381, 10695, 2431, 835, 289, 2593, 586, 15997, 789, 17, 3008, 1859, 366, 2553, 289, 22861, 24163, 366, 18, 20405, 1038, 16, 374, 9783, 402, 403, 897, 1458, 15097, 349, 28609, 7080, 2145, 289, 11612, 18, 4635, 492, 16480, 9405, 6007, 282, 3320, 17761, 11050, 25198, 2901, 1312, 39616, 20801, 282, 22154, 18, 478, 40050, 1133, 28174, 3247, 45691, 16, 374, 28565, 1623, 29815, 1116, 5406, 16, 7386, 536, 294, 15734, 12231, 10744, 277, 16, 2686, 745, 6547, 334, 5833, 3538, 1176, 2490, 1270, 5042, 30, 371, 16078, 1035, 282, 30967, 1743, 3014, 4417, 281, 505, 46436, 339, 910, 510, 19539, 1273, 4339, 8000, 16303, 18, 1937, 28565, 30682, 8955, 309, 37965, 10296, 16, 3333, 898, 11680, 16, 374, 403, 897, 1458, 24687, 8892, 12130, 6937, 23127, 1642, 18, 2046, 492, 1559, 26253, 50227, 34031, 16, 6309, 1752, 360, 19304, 16, 753, 322, 32273, 1568, 16, 4092, 40139, 1087, 10614, 5368, 7099, 309, 2768, 15311, 18, 2877, 575, 329, 403, 897, 7671, 6181, 2992, 9700, 16, 753, 43381, 44443, 18, 2, 1, 87, 1456, 81, 2448, 30, 24569, 3778, 448, 17221, 560, 33134, 11923, 17639, 36405, 276, 47163, 289, 531, 1602, 24792, 17, 280, 11478, 1051 ]
[ 18, 21102, 22625, 32734, 309, 7512, 2268, 507, 1747, 683, 10492, 506, 13659, 21861, 16, 367, 2419, 37390, 27827, 41868, 1519, 18, 31224, 30, 7148, 13023, 448, 41062, 17221, 560, 478, 275, 13673, 4701, 470, 16379, 11923, 17639, 349, 20858, 4533, 1505, 36405, 276, 334, 47163, 289, 531, 1602, 39274, 49054, 17, 280, 11478, 1051, 16, 3110, 478, 15210, 470, 477, 7755, 309, 8300, 24807, 17221, 342, 10143, 1767, 9001, 8049, 263, 1369, 1520, 367, 18, 478, 2176, 7512, 13659, 382, 17101, 2444, 22279, 564, 16, 282, 13659, 516, 10845, 28671, 39762, 10886, 16, 289, 36405, 2010, 2285, 2159, 8183, 910, 510, 2815, 5037, 3594, 20286, 5119, 24617, 16192, 291, 473, 1182, 2359, 672, 13, 334, 10143, 1767, 309, 3781, 17, 19858, 282, 10666, 18, 824, 505, 3163, 16, 309, 9837, 1119, 32961, 4461, 12522, 22279, 883, 309, 4533, 1505, 12512, 334, 47163, 289, 531, 1602, 18, 967, 803, 16, 5273, 5037, 3594, 16, 3089, 882, 837, 39274, 14313, 613, 840, 1139, 16, 1325, 13121, 282, 4533, 1505, 2241, 16, 36198, 309, 5814, 7547, 317, 13381, 382, 18, 478, 732, 282, 803, 1750, 5554, 4362, 3498, 33649, 6279, 16, 827, 656, 6015, 3559, 23171, 7512, 34863, 41833, 910, 510, 1109, 8049, 263, 1369, 1520, 289, 5692, 16, 374, 478, 960, 34925, 25530, 22200, 334, 8285, 4760, 895, 12369, 16, 374, 5554, 322, 349, 33649, 363, 282, 6829, 47163, 910, 5923, 31244, 17, 14149, 18, 824, 3163, 6677, 3594, 16, 1314, 17221, 560, 7684, 5317, 281, 4347, 39918, 4887, 289, 11923, 642, 1867, 4621, 882, 1051, 16, 9666, 1527, 309, 1110, 348, 4594, 2235, 289, 8700, 16, 367, 1038, 11923, 642, 1867, 25878, 448, 8822, 18, 365, 3781, 17, 12495, 18164, 17439, 3594, 727, 2359, 672, 478, 46088, 18, 8381, 470, 12002, 16, 374, 5734, 14057, 8481, 521, 484, 4424, 282, 10143, 1767, 16, 367, 1568, 381, 9774, 547, 15242, 4360, 35118, 3149, 294, 22279, 1433, 12565, 18, 478, 4348, 18515, 481, 4424, 18, 28027, 3245, 32961, 309, 9185, 5738, 381, 9774, 547, 15242, 289, 290, 24617, 17221, 11975, 16, 1029, 4360, 1299, 29483, 22872, 289, 14806, 35077, 553, 16, 961, 656, 2419, 16, 8507, 16, 9103, 3559, 651, 282, 4301, 5738, 18, 1345, 349, 20241, 5738, 322, 2019, 406, 910, 510, 9299, 282, 20175, 281, 478, 7128, 305, 323, 18, 8381, 470, 7996, 6660, 334, 7684, 4143, 477, 5792, 15626, 528, 2025, 18, 365, 34863, 38530, 6354, 7099, 9774, 448, 32734, 16, 5891, 4490, 25994, 5368, 2175, 282, 5118, 281, 9449, 18, 967, 803, 13659, 6951, 11466, 1867, 16, 374, 35562, 282, 1805, 1335, 28349, 24617, 16192, 291, 16, 3848, 1223, 16, 12146, 34860, 411, 17, 431, 42800, 1015, 20813, 281, 32242, 17818, 18, 45241, 17, 22079, 25989, 5607, 478, 4580, 11021, 19027, 470, 12507, 4891, 3372, 1520, 5273, 22279, 564, 12565, 1248, 4533, 1505, 2241, 478, 11984, 416, 289, 17233, 2209, 2559, 323, 470, 541, 24617, 16192, 291, 16, 2686, 29230, 16, 374, 481, 3003, 2003, 396, 4754, 874, 281, 9752, 3193, 1223, 28143, 4958, 5418, 21595, 16, 961, 7590, 4364, 428, 9774, 539, 8357, 16, 453, 289, 4533, 4139, 1743, 18, 478, 563, 18269, 807, 24617, 16192, 291, 9064, 309, 24324, 477, 1360, 1963, 16, 656, 575, 764, 2125, 19486, 2954, 778, 31427, 16, 1568, 381, 3320, 13659, 346, 1101, 289, 475, 518, 14471, 16, 961, 7590, 4364, 23908, 13659, 7336, 289, 505, 8006, 18, 9584, 381, 47163, 16, 3057, 16, 2702, 23721, 697, 33550, 2712, 16, 289, 13659, 4961, 16, 309, 2218, 2193, 16, 322, 895, 41868, 1519, 4957, 749, 15413, 770, 309, 502, 19961, 18, 22642, 282, 30345, 44317, 1335, 28349, 2702, 2031, 324, 910, 510, 2548, 4891, 3372, 1520, 18, 2949, 924, 16, 8915, 6152, 25102, 531, 1602, 23042, 7785, 4846, 20362, 18, 478, 26451, 10480, 290, 28194, 3741, 40539, 21595, 16, 961, 10063, 373, 1158, 758, 25388, 8689, 5348, 16, 371, 23587, 4958, 4946, 8285, 21619, 25433, 334, 8384, 281, 882, 3317, 16718, 2935, 272, 2749, 18, 1178, 4498, 3419, 290, 22279, 750, 32119, 11898, 16, 502, 481, 4525, 397, 2642, 878, 16, 311, 18, 294, 18, 282, 2083, 32371, 11898, 678, 726, 322, 9914, 8671, 4533, 401, 10091, 473, 280, 11478, 3033, 934, 311, 18, 352, 18, 14446, 309, 1710, 22279, 564, 2955, 910, 510, 2815, 478, 46088, 18, 8381, 470, 6187, 15352, 24492, 48770, 334, 44247, 436, 8546, 2241, 16898, 563, 6223, 4944, 8657, 283, 713, 18, 3791, 16, 334, 3163, 34361, 16, 14057, 12522, 2900, 22279, 542, 17818, 322, 9278, 16, 367, 329, 6814, 22200, 1003, 10528, 349, 33649, 3314, 334, 47163, 18, 478, 682, 2621, 20131, 289, 281, 5063, 979, 16, 374, 371, 478, 511, 691, 32609, 470, 13659, 346, 21310, 507, 8341, 670, 31561, 840, 23503, 3498, 33649, 6279, 16, 3387, 4957, 22852, 30943, 282, 3941, 1011, 32371, 32119, 11898, 16, 367, 678, 840, 9600, 14283, 6521, 910, 510, 2548, 8657, 283, 713, 18, 2949, 924, 16, 9884, 11096, 4076, 16, 411, 1639, 13659, 6951, 4557, 4364, 1617, 35994, 16, 895, 7869, 294, 901, 3910, 32119, 2926, 18, 365, 5118, 477, 28095, 20274, 5738, 478, 6115, 9774, 547, 15242, 910, 49827, 16192, 895, 16, 282, 4810, 16, 14446, 22279, 564, 309, 14461, 882, 837, 16, 282, 970, 2875, 2764, 289, 29315, 8379, 16, 21941, 16, 5778, 49427, 39594, 16, 5184, 1133, 360, 24573, 289, 2393, 19134, 18, 2949, 924, 16, 41062, 15590, 2873, 1698, 35212, 17527, 882, 837, 349, 12455, 16, 367, 1038, 22617, 478, 265, 448, 3193, 16, 9278, 448, 42152, 9449, 670, 9774, 536, 47787, 861, 967, 803, 16, 334, 3163, 20148, 8840, 16986, 10035, 3352, 14943, 16168, 884, 1624, 3333, 28349, 727, 2359, 672, 2950, 25710, 13471, 281, 32242, 17818, 289, 3929, 557, 2661, 48227, 11967, 309, 15577, 1218, 332, 572, 5363, 18, 478, 563, 956, 2154, 9405, 3400, 424, 40242, 432, 21595, 16, 309, 9185, 1639, 16995, 41062, 17221, 560, 18, 740, 1381, 2023, 16, 745, 8103, 30066, 3236, 282, 12564, 16, 289, 33975, 727, 2359, 672, 16, 367, 1038, 289, 25383, 5119, 1624, 2669, 1271, 265, 3236, 11675, 2389, 478, 348, 23091, 432, 470, 5842, 6271, 910, 510, 2548, 12189, 18, 478, 563, 2733, 575, 15174, 16, 428, 32119, 36405, 16, 942, 12314, 649, 11923, 309, 12537, 668, 21348, 882, 837, 670, 518, 42588, 16, 961, 492, 14283, 14074, 16, 3057, 16, 282, 22200, 16, 3544, 490, 451, 5337, 16, 2006, 1003 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18, 21102, 22625, 32734, 309, 7512, 2268, 507, 1747, 683, 10492, 506, 13659, 21861, 16, 367, 2419, 37390, 27827, 41868, 1519, 18, 31224, 30, 7148, 13023, 448, 41062, 17221, 560, 478, 275, 13673, 4701, 470, 16379, 11923, 17639, 349, 20858, 4533, 1505, 36405, 276, 334, 47163, 289, 531, 1602, 39274, 49054, 17, 280, 11478, 1051, 16, 3110, 478, 15210, 470, 477, 7755, 309, 8300, 24807, 17221, 342, 10143, 1767, 9001, 8049, 263, 1369, 1520, 367, 18, 478, 2176, 7512, 13659, 382, 17101, 2444, 22279, 564, 16, 282, 13659, 516, 10845, 28671, 39762, 10886, 16, 289, 36405, 2010, 2285, 2159, 8183, 910, 510, 2815, 5037, 3594, 20286, 5119, 24617, 16192, 291, 473, 1182, 2359, 672, 13, 334, 10143, 1767, 309, 3781, 17, 19858, 282, 10666, 18, 824, 505, 3163, 16, 309, 9837, 1119, 32961, 4461, 12522, 22279, 883, 309, 4533, 1505, 12512, 334, 47163, 289, 531, 1602, 18, 967, 803, 16, 5273, 5037, 3594, 16, 3089, 882, 837, 39274, 14313, 613, 840, 1139, 16, 1325, 13121, 282, 4533, 1505, 2241, 16, 36198, 309, 5814, 7547, 317, 13381, 382, 18, 478, 732, 282, 803, 1750, 5554, 4362, 3498, 33649, 6279, 16, 827, 656, 6015, 3559, 23171, 7512, 34863, 41833, 910, 510, 1109, 8049, 263, 1369, 1520, 289, 5692, 16, 374, 478, 960, 34925, 25530, 22200, 334, 8285, 4760, 895, 12369, 16, 374, 5554, 322, 349, 33649, 363, 282, 6829, 47163, 910, 5923, 31244, 17, 14149, 18, 824, 3163, 6677, 3594, 16, 1314, 17221, 560, 7684, 5317, 281, 4347, 39918, 4887, 289, 11923, 642, 1867, 4621, 882, 1051, 16, 9666, 1527, 309, 1110, 348, 4594, 2235, 289, 8700, 16, 367, 1038, 11923, 642, 1867, 25878, 448, 8822, 18, 365, 3781, 17, 12495, 18164, 17439, 3594, 727, 2359, 672, 478, 46088, 18, 8381, 470, 12002, 16, 374, 5734, 14057, 8481, 521, 484, 4424, 282, 10143, 1767, 16, 367, 1568, 381, 9774, 547, 15242, 4360, 35118, 3149, 294, 22279, 1433, 12565, 18, 478, 4348, 18515, 481, 4424, 18, 28027, 3245, 32961, 309, 9185, 5738, 381, 9774, 547, 15242, 289, 290, 24617, 17221, 11975, 16, 1029, 4360, 1299, 29483, 22872, 289, 14806, 35077, 553, 16, 961, 656, 2419, 16, 8507, 16, 9103, 3559, 651, 282, 4301, 5738, 18, 1345, 349, 20241, 5738, 322, 2019, 406, 910, 510, 9299, 282, 20175, 281, 478, 7128, 305, 323, 18, 8381, 470, 7996, 6660, 334, 7684, 4143, 477, 5792, 15626, 528, 2025, 18, 365, 34863, 38530, 6354, 7099, 9774, 448, 32734, 16, 5891, 4490, 25994, 5368, 2175, 282, 5118, 281, 9449, 18, 967, 803, 13659, 6951, 11466, 1867, 16, 374, 35562, 282, 1805, 1335, 28349, 24617, 16192, 291, 16, 3848, 1223, 16, 12146, 34860, 411, 17, 431, 42800, 1015, 20813, 281, 32242, 17818, 18, 45241, 17, 22079, 25989, 5607, 478, 4580, 11021, 19027, 470, 12507, 4891, 3372, 1520, 5273, 22279, 564, 12565, 1248, 4533, 1505, 2241, 478, 11984, 416, 289, 17233, 2209, 2559, 323, 470, 541, 24617, 16192, 291, 16, 2686, 29230, 16, 374, 481, 3003, 2003, 396, 4754, 874, 281, 9752, 3193, 1223, 28143, 4958, 5418, 21595, 16, 961, 7590, 4364, 428, 9774, 539, 8357, 16, 453, 289, 4533, 4139, 1743, 18, 478, 563, 18269, 807, 24617, 16192, 291, 9064, 309, 24324, 477, 1360, 1963, 16, 656, 575, 764, 2125, 19486, 2954, 778, 31427, 16, 1568, 381, 3320, 13659, 346, 1101, 289, 475, 518, 14471, 16, 961, 7590, 4364, 23908, 13659, 7336, 289, 505, 8006, 18, 9584, 381, 47163, 16, 3057, 16, 2702, 23721, 697, 33550, 2712, 16, 289, 13659, 4961, 16, 309, 2218, 2193, 16, 322, 895, 41868, 1519, 4957, 749, 15413, 770, 309, 502, 19961, 18, 22642, 282, 30345, 44317, 1335, 28349, 2702, 2031, 324, 910, 510, 2548, 4891, 3372, 1520, 18, 2949, 924, 16, 8915, 6152, 25102, 531, 1602, 23042, 7785, 4846, 20362, 18, 478, 26451, 10480, 290, 28194, 3741, 40539, 21595, 16, 961, 10063, 373, 1158, 758, 25388, 8689, 5348, 16, 371, 23587, 4958, 4946, 8285, 21619, 25433, 334, 8384, 281, 882, 3317, 16718, 2935, 272, 2749, 18, 1178, 4498, 3419, 290, 22279, 750, 32119, 11898, 16, 502, 481, 4525, 397, 2642, 878, 16, 311, 18, 294, 18, 282, 2083, 32371, 11898, 678, 726, 322, 9914, 8671, 4533, 401, 10091, 473, 280, 11478, 3033, 934, 311, 18, 352, 18, 14446, 309, 1710, 22279, 564, 2955, 910, 510, 2815, 478, 46088, 18, 8381, 470, 6187, 15352, 24492, 48770, 334, 44247, 436, 8546, 2241, 16898, 563, 6223, 4944, 8657, 283, 713, 18, 3791, 16, 334, 3163, 34361, 16, 14057, 12522, 2900, 22279, 542, 17818, 322, 9278, 16, 367, 329, 6814, 22200, 1003, 10528, 349, 33649, 3314, 334, 47163, 18, 478, 682, 2621, 20131, 289, 281, 5063, 979, 16, 374, 371, 478, 511, 691, 32609, 470, 13659, 346, 21310, 507, 8341, 670, 31561, 840, 23503, 3498, 33649, 6279, 16, 3387, 4957, 22852, 30943, 282, 3941, 1011, 32371, 32119, 11898, 16, 367, 678, 840, 9600, 14283, 6521, 910, 510, 2548, 8657, 283, 713, 18, 2949, 924, 16, 9884, 11096, 4076, 16, 411, 1639, 13659, 6951, 4557, 4364, 1617, 35994, 16, 895, 7869, 294, 901, 3910, 32119, 2926, 18, 365, 5118, 477, 28095, 20274, 5738, 478, 6115, 9774, 547, 15242, 910, 49827, 16192, 895, 16, 282, 4810, 16, 14446, 22279, 564, 309, 14461, 882, 837, 16, 282, 970, 2875, 2764, 289, 29315, 8379, 16, 21941, 16, 5778, 49427, 39594, 16, 5184, 1133, 360, 24573, 289, 2393, 19134, 18, 2949, 924, 16, 41062, 15590, 2873, 1698, 35212, 17527, 882, 837, 349, 12455, 16, 367, 1038, 22617, 478, 265, 448, 3193, 16, 9278, 448, 42152, 9449, 670, 9774, 536, 47787, 861, 967, 803, 16, 334, 3163, 20148, 8840, 16986, 10035, 3352, 14943, 16168, 884, 1624, 3333, 28349, 727, 2359, 672, 2950, 25710, 13471, 281, 32242, 17818, 289, 3929, 557, 2661, 48227, 11967, 309, 15577, 1218, 332, 572, 5363, 18, 478, 563, 956, 2154, 9405, 3400, 424, 40242, 432, 21595, 16, 309, 9185, 1639, 16995, 41062, 17221, 560, 18, 740, 1381, 2023, 16, 745, 8103, 30066, 3236, 282, 12564, 16, 289, 33975, 727, 2359, 672, 16, 367, 1038, 289, 25383, 5119, 1624, 2669, 1271, 265, 3236, 11675, 2389, 478, 348, 23091, 432, 470, 5842, 6271, 910, 510, 2548, 12189, 18, 478, 563, 2733, 575, 15174, 16, 428, 32119, 36405, 16, 942, 12314, 649, 11923, 309, 12537, 668, 21348, 882, 837, 670, 518, 42588, 16, 961, 492, 14283, 14074, 16, 3057, 16, 282, 22200, 16, 3544, 490, 451, 5337, 16, 2006, 1003 ]
[ 35, 510, 7107, 3935, 7110, 15901, 7884, 14564, 6315, 45274, 18, 651, 3654, 1513, 23175, 22279, 564, 309, 36405, 47163, 670, 531, 1602, 35, 3510, 505, 541, 2742, 1513, 3089, 18, 459, 827, 329, 1631, 912, 7352, 16, 289, 678, 2353, 309, 43263, 16, 30330, 14446, 22279, 564, 282, 4698, 3678, 309, 1710, 861, 22642, 567, 22279, 750, 12565, 16, 334, 4734, 34361, 16, 9452, 282, 14752, 1207, 29924, 2926, 289, 16715, 14471, 16, 6602, 2545, 18473, 18622, 17144, 1519, 24617, 31082, 381, 32694, 2223, 1810, 289, 28194, 13840, 11861, 22184, 18, 2, 1, 87, 1456, 81, 2448, 30, 5853, 345, 6157, 323, 579, 10964, 478, 563, 7629, 411, 29478, 470, 5408, 1788, 1617, 3402, 309, 38246, 510, 840, 7337, 265, 1519, 8460, 11338, 17, 296, 46685, 289, 23603, 309, 37252, 334, 36940, 277, 18, 608, 8121, 308, 2749, 478, 918, 2458, 1033, 1882, 38708, 470, 411, 2510, 628, 8544, 718, 4202, 478, 563, 7450, 470, 1003, 537, 9773, 16, 537, 4626, 16, 6996, 912, 478, 10148, 481, 1653, 910, 374, 1513, 37252, 18, 31224, 30, 41825, 1310, 300, 37252, 11661, 16, 374, 4463, 16179, 28252, 451, 6246, 36741, 477, 44249, 416, 4025, 37769, 416, 478, 17616, 19326, 910, 282, 4301, 2024, 4228, 4040, 7337, 265, 1519, 8460, 11338, 17, 296, 46685, 16, 23603, 16, 4772, 17, 476, 530, 1014, 289, 311, 18, 302, 18, 667, 17, 16981, 8306, 11287, 4202, 478, 563, 7450, 470, 473, 1567, 5965, 468, 4202, 478, 42415, 9979, 16974, 4025, 37769, 324, 41681, 14509, 1011, 2236, 411, 24268, 1798, 282, 8156, 4623, 478, 29971, 3771, 470, 282, 11023, 4440, 779, 18, 3138, 36882, 8667, 478, 24775, 1133, 7036, 470, 10618, 528, 1076, 375, 15024, 1652, 722, 290, 9332, 292, 43984, 4623, 16, 39592, 23610, 281, 7337, 16, 15762, 1545, 282, 12462, 16, 17379, 1033, 1032, 3763, 37025, 18, 5533, 6694, 4025, 37769, 416, 639, 7000, 315, 309, 44141, 16, 14088, 36581, 411, 1639, 898, 20119, 478, 918, 2458, 1033, 1882, 38708, 470, 289, 478, 615, 731, 1122, 16, 12054, 278, 16, 1215, 481, 1653, 861, 528, 1076, 375, 5747, 31246, 706, 289, 36593, 4025, 37769, 416, 7481, 454, 478, 563, 7629, 411, 29478, 16, 12876, 22558, 14078, 4228, 282, 7337, 478, 4433, 14415, 26942, 3887, 455, 5977, 478, 293, 623, 1558, 282, 941, 4285, 470, 4552, 1100, 18, 14587, 8862, 290, 970, 16, 374, 478, 563, 7629, 411, 29478, 470, 4040, 26421, 11016, 17, 22649, 309, 37252, 16, 7134, 282, 2343, 4209, 18, 33825, 7309, 381, 803, 2323, 3781, 17, 15975, 4202, 478, 42415, 470, 25486, 15136, 286, 2572, 18, 4025, 37769, 324, 1655, 481, 8495, 322, 26851, 16, 21227, 1472, 16, 374, 722, 24136, 2048, 1196, 451, 31446, 313, 541, 37252, 18, 23104, 5006, 16, 10581, 14414, 16, 428, 4154, 3626, 6615, 399, 1305, 37252, 478, 563, 7629, 411, 29478, 470, 7337, 265, 2712, 45436, 28804, 29518, 888, 24593, 273, 1624, 898, 15762, 1007, 282, 12462, 18, 25652, 17, 9952, 37252, 1655, 1038, 9321, 16, 374, 322, 30006, 13988, 290, 38508, 20866, 14442, 1207, 4025, 37769, 416, 18, 5309, 6473, 5475, 282, 10666, 309, 3614, 37252, 11116, 8495, 290, 970, 16, 374, 478, 563, 7629, 411, 29478, 470, 478, 293, 40561, 1788, 1852, 33531, 37252, 861, 11561, 1310, 300, 45746, 5151, 272, 428, 9016, 16, 478, 14845, 1838, 7314, 4772, 1360, 5671, 26861, 861, 478, 6039, 6597, 16, 374, 19326, 411, 4845, 262, 322, 15546, 14374, 289, 17521, 6528, 18, 459, 1830, 329, 5151, 276, 1003, 9773, 1810, 309, 17565, 16, 1003, 14935, 718, 4626, 289, 16891, 16, 6996, 912, 4004, 16, 9926, 30723, 16489, 289, 7101, 622, 510, 3887, 6686, 722, 575, 6173, 16, 478, 10148, 481, 1653, 861, 439, 374, 764, 1513, 16, 753, 11543, 965, 282, 5703, 45436, 15859, 5433, 510, 41988, 24036, 1423, 10839, 334, 5083, 11769, 282, 17130, 4025, 37769, 416, 18, 17076, 478, 50168, 33392, 34305, 411, 30166, 28421, 3989, 21449, 21208, 289, 19676, 697, 309, 9294, 4998, 3025, 1175, 910, 5130, 282, 9907, 22065, 18, 3557, 323, 4696, 4040, 478, 7223, 525, 26455, 11411, 14535, 910, 8010, 26421, 510, 478, 1961, 490, 649, 1248, 9874, 3966, 470, 289, 478, 2035, 6922, 655, 16794, 309, 28560, 5156, 910, 3014, 411, 24802, 507, 18, 7699, 4696, 16, 2628, 16, 1747, 6776, 5559, 309, 25312, 22993, 478, 563, 27057, 411, 29478, 861, 478, 2176, 3927, 16, 19326, 895, 1139, 36832, 294, 1190, 282, 4845, 262, 309, 8068, 466, 2606, 281, 5008, 383, 30229, 289, 11733, 451, 4077, 910, 510, 5130, 282, 24802, 409, 18, 478, 732, 46220, 25675, 16, 31983, 267, 5983, 42209, 30, 19326, 349, 1829, 708, 642, 4178, 839, 3586, 764, 3893, 968, 16, 828, 3253, 309, 1129, 9780, 910, 510, 46340, 37252, 18, 20670, 4056, 4696, 478, 563, 27057, 411, 4845, 262, 470, 1576, 637, 309, 667, 18, 4691, 3695, 4189, 18, 15193, 2608, 5606, 6272, 478, 17616, 19326, 470, 10906, 36618, 18159, 4801, 394, 3141, 1624, 45436, 18907, 1236, 791, 507, 38944, 289, 5222, 28513, 4137, 41790, 1624, 6218, 411, 8862, 22065, 18, 13593, 660, 39930, 478, 563, 27057, 411, 4845, 262, 470, 309, 37252, 510, 3003, 3147, 282, 22694, 25759, 20148, 8840, 14243, 9001, 32543, 400, 3340, 289, 16, 9956, 334, 4547, 16, 21110, 1352, 1612, 16, 2548, 2337, 343, 40864, 932, 20051, 26643, 289, 2332, 7871, 23502, 2631, 399, 3174, 25031, 7956, 1241, 2147, 3583, 18, 478, 730, 4920, 466, 16, 785, 329, 813, 37081, 10689, 411, 5478, 16, 745, 322, 1965, 24292, 43844, 282, 3095, 262, 17, 24832, 15834, 13294, 285, 18, 403, 7555, 16, 29800, 5452, 19751, 3215, 2693, 7387, 294, 4453, 5750, 3756, 39907, 18, 35996, 1241, 44076, 1320, 322, 37511, 17305, 428, 478, 7592, 5839, 910, 367, 1215, 4228, 411, 4845, 262, 16, 17111, 411, 11074, 5115, 16, 2879, 35230, 41041, 1260, 304, 5839, 282, 478, 7158, 547, 3638, 1207, 470, 26643, 2553, 910, 510, 10050, 7725, 2016, 478, 32485, 18, 8381, 861, 365, 16992, 37252, 10702, 280, 2444, 3286, 1245, 17, 293, 987, 3778, 2819, 5552, 6843, 322, 687, 294, 31983, 267, 5983, 582, 2381, 16, 515, 289, 294, 17291, 16, 1548, 374, 37252, 20015, 2048, 7337, 665, 411, 6714, 18, 9873, 19603, 481, 26203, 1279, 17730, 1070, 478, 324, 973, 470, 289, 478, 404, 3338, 910, 5478, 289, 38692, 16, 46039, 1241, 2147, 3583, 18, 999, 19816, 1574, 4696, 8802, 6166, 17616, 19326, 470, 840, 13761 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35, 510, 7107, 3935, 7110, 15901, 7884, 14564, 6315, 45274, 18, 651, 3654, 1513, 23175, 22279, 564, 309, 36405, 47163, 670, 531, 1602, 35, 3510, 505, 541, 2742, 1513, 3089, 18, 459, 827, 329, 1631, 912, 7352, 16, 289, 678, 2353, 309, 43263, 16, 30330, 14446, 22279, 564, 282, 4698, 3678, 309, 1710, 861, 22642, 567, 22279, 750, 12565, 16, 334, 4734, 34361, 16, 9452, 282, 14752, 1207, 29924, 2926, 289, 16715, 14471, 16, 6602, 2545, 18473, 18622, 17144, 1519, 24617, 31082, 381, 32694, 2223, 1810, 289, 28194, 13840, 11861, 22184, 18, 2, 1, 87, 1456, 81, 2448, 30, 5853, 345, 6157, 323, 579, 10964, 478, 563, 7629, 411, 29478, 470, 5408, 1788, 1617, 3402, 309, 38246, 510, 840, 7337, 265, 1519, 8460, 11338, 17, 296, 46685, 289, 23603, 309, 37252, 334, 36940, 277, 18, 608, 8121, 308, 2749, 478, 918, 2458, 1033, 1882, 38708, 470, 411, 2510, 628, 8544, 718, 4202, 478, 563, 7450, 470, 1003, 537, 9773, 16, 537, 4626, 16, 6996, 912, 478, 10148, 481, 1653, 910, 374, 1513, 37252, 18, 31224, 30, 41825, 1310, 300, 37252, 11661, 16, 374, 4463, 16179, 28252, 451, 6246, 36741, 477, 44249, 416, 4025, 37769, 416, 478, 17616, 19326, 910, 282, 4301, 2024, 4228, 4040, 7337, 265, 1519, 8460, 11338, 17, 296, 46685, 16, 23603, 16, 4772, 17, 476, 530, 1014, 289, 311, 18, 302, 18, 667, 17, 16981, 8306, 11287, 4202, 478, 563, 7450, 470, 473, 1567, 5965, 468, 4202, 478, 42415, 9979, 16974, 4025, 37769, 324, 41681, 14509, 1011, 2236, 411, 24268, 1798, 282, 8156, 4623, 478, 29971, 3771, 470, 282, 11023, 4440, 779, 18, 3138, 36882, 8667, 478, 24775, 1133, 7036, 470, 10618, 528, 1076, 375, 15024, 1652, 722, 290, 9332, 292, 43984, 4623, 16, 39592, 23610, 281, 7337, 16, 15762, 1545, 282, 12462, 16, 17379, 1033, 1032, 3763, 37025, 18, 5533, 6694, 4025, 37769, 416, 639, 7000, 315, 309, 44141, 16, 14088, 36581, 411, 1639, 898, 20119, 478, 918, 2458, 1033, 1882, 38708, 470, 289, 478, 615, 731, 1122, 16, 12054, 278, 16, 1215, 481, 1653, 861, 528, 1076, 375, 5747, 31246, 706, 289, 36593, 4025, 37769, 416, 7481, 454, 478, 563, 7629, 411, 29478, 16, 12876, 22558, 14078, 4228, 282, 7337, 478, 4433, 14415, 26942, 3887, 455, 5977, 478, 293, 623, 1558, 282, 941, 4285, 470, 4552, 1100, 18, 14587, 8862, 290, 970, 16, 374, 478, 563, 7629, 411, 29478, 470, 4040, 26421, 11016, 17, 22649, 309, 37252, 16, 7134, 282, 2343, 4209, 18, 33825, 7309, 381, 803, 2323, 3781, 17, 15975, 4202, 478, 42415, 470, 25486, 15136, 286, 2572, 18, 4025, 37769, 324, 1655, 481, 8495, 322, 26851, 16, 21227, 1472, 16, 374, 722, 24136, 2048, 1196, 451, 31446, 313, 541, 37252, 18, 23104, 5006, 16, 10581, 14414, 16, 428, 4154, 3626, 6615, 399, 1305, 37252, 478, 563, 7629, 411, 29478, 470, 7337, 265, 2712, 45436, 28804, 29518, 888, 24593, 273, 1624, 898, 15762, 1007, 282, 12462, 18, 25652, 17, 9952, 37252, 1655, 1038, 9321, 16, 374, 322, 30006, 13988, 290, 38508, 20866, 14442, 1207, 4025, 37769, 416, 18, 5309, 6473, 5475, 282, 10666, 309, 3614, 37252, 11116, 8495, 290, 970, 16, 374, 478, 563, 7629, 411, 29478, 470, 478, 293, 40561, 1788, 1852, 33531, 37252, 861, 11561, 1310, 300, 45746, 5151, 272, 428, 9016, 16, 478, 14845, 1838, 7314, 4772, 1360, 5671, 26861, 861, 478, 6039, 6597, 16, 374, 19326, 411, 4845, 262, 322, 15546, 14374, 289, 17521, 6528, 18, 459, 1830, 329, 5151, 276, 1003, 9773, 1810, 309, 17565, 16, 1003, 14935, 718, 4626, 289, 16891, 16, 6996, 912, 4004, 16, 9926, 30723, 16489, 289, 7101, 622, 510, 3887, 6686, 722, 575, 6173, 16, 478, 10148, 481, 1653, 861, 439, 374, 764, 1513, 16, 753, 11543, 965, 282, 5703, 45436, 15859, 5433, 510, 41988, 24036, 1423, 10839, 334, 5083, 11769, 282, 17130, 4025, 37769, 416, 18, 17076, 478, 50168, 33392, 34305, 411, 30166, 28421, 3989, 21449, 21208, 289, 19676, 697, 309, 9294, 4998, 3025, 1175, 910, 5130, 282, 9907, 22065, 18, 3557, 323, 4696, 4040, 478, 7223, 525, 26455, 11411, 14535, 910, 8010, 26421, 510, 478, 1961, 490, 649, 1248, 9874, 3966, 470, 289, 478, 2035, 6922, 655, 16794, 309, 28560, 5156, 910, 3014, 411, 24802, 507, 18, 7699, 4696, 16, 2628, 16, 1747, 6776, 5559, 309, 25312, 22993, 478, 563, 27057, 411, 29478, 861, 478, 2176, 3927, 16, 19326, 895, 1139, 36832, 294, 1190, 282, 4845, 262, 309, 8068, 466, 2606, 281, 5008, 383, 30229, 289, 11733, 451, 4077, 910, 510, 5130, 282, 24802, 409, 18, 478, 732, 46220, 25675, 16, 31983, 267, 5983, 42209, 30, 19326, 349, 1829, 708, 642, 4178, 839, 3586, 764, 3893, 968, 16, 828, 3253, 309, 1129, 9780, 910, 510, 46340, 37252, 18, 20670, 4056, 4696, 478, 563, 27057, 411, 4845, 262, 470, 1576, 637, 309, 667, 18, 4691, 3695, 4189, 18, 15193, 2608, 5606, 6272, 478, 17616, 19326, 470, 10906, 36618, 18159, 4801, 394, 3141, 1624, 45436, 18907, 1236, 791, 507, 38944, 289, 5222, 28513, 4137, 41790, 1624, 6218, 411, 8862, 22065, 18, 13593, 660, 39930, 478, 563, 27057, 411, 4845, 262, 470, 309, 37252, 510, 3003, 3147, 282, 22694, 25759, 20148, 8840, 14243, 9001, 32543, 400, 3340, 289, 16, 9956, 334, 4547, 16, 21110, 1352, 1612, 16, 2548, 2337, 343, 40864, 932, 20051, 26643, 289, 2332, 7871, 23502, 2631, 399, 3174, 25031, 7956, 1241, 2147, 3583, 18, 478, 730, 4920, 466, 16, 785, 329, 813, 37081, 10689, 411, 5478, 16, 745, 322, 1965, 24292, 43844, 282, 3095, 262, 17, 24832, 15834, 13294, 285, 18, 403, 7555, 16, 29800, 5452, 19751, 3215, 2693, 7387, 294, 4453, 5750, 3756, 39907, 18, 35996, 1241, 44076, 1320, 322, 37511, 17305, 428, 478, 7592, 5839, 910, 367, 1215, 4228, 411, 4845, 262, 16, 17111, 411, 11074, 5115, 16, 2879, 35230, 41041, 1260, 304, 5839, 282, 478, 7158, 547, 3638, 1207, 470, 26643, 2553, 910, 510, 10050, 7725, 2016, 478, 32485, 18, 8381, 861, 365, 16992, 37252, 10702, 280, 2444, 3286, 1245, 17, 293, 987, 3778, 2819, 5552, 6843, 322, 687, 294, 31983, 267, 5983, 582, 2381, 16, 515, 289, 294, 17291, 16, 1548, 374, 37252, 20015, 2048, 7337, 665, 411, 6714, 18, 9873, 19603, 481, 26203, 1279, 17730, 1070, 478, 324, 973, 470, 289, 478, 404, 3338, 910, 5478, 289, 38692, 16, 46039, 1241, 2147, 3583, 18, 999, 19816, 1574, 4696, 8802, 6166, 17616, 19326, 470, 840, 13761 ]
[ 309, 2468, 4696, 478, 6889, 12302, 2750, 32153, 842, 9979, 3215, 5751, 928, 16, 2548, 1241, 2147, 3583, 30, 478, 10150, 3376, 18351, 1943, 381, 343, 11434, 861, 478, 44087, 5298, 16, 428, 481, 840, 13168, 309, 14980, 16, 1696, 935, 329, 939, 11241, 13573, 670, 21449, 1512, 322, 475, 7155, 1833, 16, 367, 1336, 16, 417, 3684, 16, 1791, 840, 2734, 1143, 910, 510, 41988, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 1182, 2216, 18104, 17906, 549, 13518, 2145, 4463, 6915, 282, 14255, 6402, 422, 25925, 332, 35636, 3483, 306, 344, 18, 640, 1420, 11116, 1143, 31398, 342, 5418, 20901, 16, 961, 2125, 13864, 7065, 315, 552, 360, 25529, 368, 16, 515, 6088, 18599, 536, 16509, 8009, 14364, 7001, 21983, 4086, 16, 1029, 3043, 3935, 309, 3483, 14220, 281, 22037, 779, 18, 31224, 30, 1182, 2216, 18104, 17906, 549, 13518, 2145, 473, 727, 25948, 6778, 567, 12241, 4463, 16179, 282, 14255, 6402, 422, 25925, 332, 35636, 3483, 306, 344, 16, 5130, 309, 17292, 3614, 727, 25948, 18, 2877, 475, 19540, 42036, 1747, 9038, 687, 2539, 1453, 3483, 31605, 16, 367, 11273, 334, 3538, 24749, 282, 33979, 7065, 2145, 1747, 26480, 506, 18, 5592, 5768, 4676, 3483, 31605, 9452, 282, 8928, 1378, 41257, 6198, 360, 21978, 7237, 356, 305, 4764, 18, 4635, 411, 17, 431, 978, 3483, 27841, 7356, 3655, 12566, 18, 640, 1420, 8633, 16509, 8009, 14364, 7001, 21983, 1452, 367, 16, 515, 1441, 3235, 21528, 22292, 30807, 5244, 309, 3483, 14220, 840, 1143, 10001, 18, 1278, 268, 17148, 678, 4040, 1033, 33045, 18, 6831, 36133, 1037, 891, 360, 25529, 382, 510, 47392, 549, 4275, 6503, 22635, 281, 703, 16072, 371, 1874, 23451, 4598, 4869, 16, 961, 35955, 8394, 371, 1874, 23451, 411, 21129, 4764, 282, 5630, 3417, 18, 3791, 309, 4676, 7065, 315, 464, 11116, 13421, 40390, 526, 2203, 16, 309, 1754, 282, 1423, 3678, 44879, 43087, 8124, 18, 967, 1874, 23451, 492, 1038, 22431, 1929, 18, 42986, 309, 3483, 14220, 3043, 9069, 18596, 539, 23108, 16, 309, 2114, 371, 37269, 5882, 4840, 10012, 16509, 21983, 4086, 510, 6492, 422, 25925, 332, 6964, 3483, 31605, 281, 22037, 779, 18, 478, 2176, 3483, 14220, 8633, 16509, 8009, 14364, 7001, 21983, 4086, 16, 289, 870, 3483, 31605, 1747, 334, 17, 6093, 3257, 272, 885, 2484, 2435, 910, 510, 2548, 9128, 8840, 727, 25948, 19209, 24873, 17039, 18, 1598, 17, 431, 20961, 8214, 7919, 45693, 366, 2961, 40361, 289, 6134, 4981, 7065, 315, 548, 510, 281, 2287, 519, 2418, 1673, 291, 18, 640, 22990, 4676, 3483, 31605, 639, 10322, 4684, 1033, 5544, 986, 18, 14155, 722, 37386, 4110, 282, 4479, 1045, 16, 367, 282, 14255, 678, 2879, 906, 17129, 1272, 779, 2158, 18, 740, 411, 17, 431, 15662, 25592, 7572, 7065, 315, 548, 3711, 32042, 651, 282, 727, 25948, 5688, 454, 32039, 867, 16, 374, 371, 15242, 32274, 2500, 1054, 484, 18, 10171, 523, 9471, 5823, 1033, 24701, 3483, 5159, 16, 2671, 11504, 282, 2145, 18, 365, 5329, 12482, 942, 639, 19338, 16, 515, 309, 481, 30373, 373, 1033, 1939, 986, 16, 453, 428, 5127, 5473, 16455, 43153, 49094, 2906, 3483, 31605, 322, 5092, 289, 3600, 9587, 7065, 315, 548, 3711, 373, 27297, 18, 13356, 31605, 281, 32242, 43936, 26656, 282, 14255, 282, 10707, 1045, 18, 17271, 24701, 1967, 3483, 5159, 6535, 282, 23479, 349, 13952, 2145, 18, 385, 4111, 19213, 10095, 3483, 31605, 2145, 2394, 10516, 13864, 722, 360, 25529, 382, 18, 824, 25036, 727, 25948, 16, 2364, 2239, 16, 754, 9, 1223, 36245, 7065, 22888, 510, 12229, 8521, 382, 18, 3397, 282, 23479, 3164, 1033, 4843, 21, 16, 6568, 34278, 18, 459, 1033, 11678, 411, 1129, 1717, 7065, 315, 548, 30710, 4843, 10590, 18, 824, 25036, 11673, 14886, 16, 1314, 282, 30681, 3196, 464, 3164, 422, 25925, 332, 19120, 3483, 5159, 309, 7512, 1033, 4843, 29, 646, 5096, 18, 12404, 10080, 840, 2671, 8991, 309, 7512, 4843, 23, 16, 25, 5096, 18, 478, 1140, 813, 2671, 9069, 3483, 5159, 309, 7512, 1033, 4843, 23, 16, 25, 5096, 16, 656, 5788, 339, 16, 374, 978, 2993, 2705, 1938, 541, 924, 16, 753, 29085, 18192, 289, 25207, 16785, 910, 510, 2548, 9216, 13279, 8204, 434, 15099, 282, 727, 25948, 33119, 13906, 7474, 18, 727, 25948, 2145, 12355, 10050, 16, 374, 3483, 31605, 24774, 10707, 779, 1747, 1097, 22103, 567, 1514, 2968, 18, 889, 13030, 541, 924, 16, 753, 8945, 14214, 2155, 510, 282, 19953, 445, 371, 42551, 4135, 282, 17618, 26931, 933, 2044, 3483, 31605, 282, 4843, 10590, 25262, 37926, 11956, 289, 17245, 12631, 309, 3531, 18, 1845, 25925, 332, 11820, 3483, 27841, 510, 6917, 30495, 282, 2145, 289, 2397, 3560, 2518, 4523, 2849, 12522, 510, 1760, 986, 18, 640, 3483, 14220, 47020, 20133, 30490, 9362, 6365, 6727, 6444, 264, 25618, 1492, 2, 1, 87, 1456, 81, 2448, 30, 4925, 16099, 13584, 24300, 16487, 434, 1218, 36918, 434, 17198, 4075, 381, 41079, 45452, 6764, 16, 5494, 33961, 2582, 965, 282, 6421, 18, 4852, 1293, 986, 4128, 4619, 309, 764, 1033, 3770, 15367, 289, 1218, 36918, 448, 4075, 510, 281, 9107, 5925, 8532, 4887, 8940, 10784, 45792, 541, 31653, 878, 594, 298, 2989, 4186, 1175, 18, 31224, 30, 732, 476, 265, 16, 428, 1299, 30872, 42426, 9501, 668, 6138, 16, 13672, 3895, 520, 322, 28252, 315, 18, 32895, 416, 6029, 4075, 3860, 29632, 2989, 41177, 7233, 2926, 45452, 8274, 16, 1978, 1545, 43177, 5197, 16, 6557, 455, 478, 3096, 18077, 13713, 9063, 861, 365, 17229, 9501, 416, 17773, 30532, 37056, 282, 21989, 31980, 29635, 12967, 5197, 4226, 11897, 45452, 6764, 22083, 13342, 39245, 16, 26889, 541, 8421, 309, 22893, 18, 365, 27246, 6881, 16, 374, 541, 924, 16, 753, 3604, 11325, 1854, 7576, 22893, 16, 31673, 1513, 3624, 322, 2619, 7640, 986, 16, 367, 19772, 322, 2619, 4317, 18, 8859, 4498, 3419, 290, 16218, 547, 1854, 12077, 594, 452, 18, 28616, 6881, 1177, 4871, 939, 43854, 16, 1830, 505, 3147, 942, 639, 7818, 289, 49580, 18, 1787, 11248, 11854, 16, 14517, 10896, 2742, 697, 17686, 20700, 16, 24300, 2900, 7431, 19691, 373, 16, 374, 6052, 1698, 14889, 309, 11325, 22893, 1472, 294, 5953, 17912, 16, 367, 4109, 651, 294, 12662, 18, 608, 11248, 5164, 16, 281, 9752, 697, 11924, 46842, 1354, 16, 1139, 322, 840, 20163, 12226, 649, 519, 6409, 20829, 18, 5043, 16, 428, 289, 329, 4717, 519, 8807, 519, 1710, 18, 10334, 282, 5781, 4532, 1751 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 309, 2468, 4696, 478, 6889, 12302, 2750, 32153, 842, 9979, 3215, 5751, 928, 16, 2548, 1241, 2147, 3583, 30, 478, 10150, 3376, 18351, 1943, 381, 343, 11434, 861, 478, 44087, 5298, 16, 428, 481, 840, 13168, 309, 14980, 16, 1696, 935, 329, 939, 11241, 13573, 670, 21449, 1512, 322, 475, 7155, 1833, 16, 367, 1336, 16, 417, 3684, 16, 1791, 840, 2734, 1143, 910, 510, 41988, 12189, 18, 2, 1, 87, 1456, 81, 2448, 30, 1182, 2216, 18104, 17906, 549, 13518, 2145, 4463, 6915, 282, 14255, 6402, 422, 25925, 332, 35636, 3483, 306, 344, 18, 640, 1420, 11116, 1143, 31398, 342, 5418, 20901, 16, 961, 2125, 13864, 7065, 315, 552, 360, 25529, 368, 16, 515, 6088, 18599, 536, 16509, 8009, 14364, 7001, 21983, 4086, 16, 1029, 3043, 3935, 309, 3483, 14220, 281, 22037, 779, 18, 31224, 30, 1182, 2216, 18104, 17906, 549, 13518, 2145, 473, 727, 25948, 6778, 567, 12241, 4463, 16179, 282, 14255, 6402, 422, 25925, 332, 35636, 3483, 306, 344, 16, 5130, 309, 17292, 3614, 727, 25948, 18, 2877, 475, 19540, 42036, 1747, 9038, 687, 2539, 1453, 3483, 31605, 16, 367, 11273, 334, 3538, 24749, 282, 33979, 7065, 2145, 1747, 26480, 506, 18, 5592, 5768, 4676, 3483, 31605, 9452, 282, 8928, 1378, 41257, 6198, 360, 21978, 7237, 356, 305, 4764, 18, 4635, 411, 17, 431, 978, 3483, 27841, 7356, 3655, 12566, 18, 640, 1420, 8633, 16509, 8009, 14364, 7001, 21983, 1452, 367, 16, 515, 1441, 3235, 21528, 22292, 30807, 5244, 309, 3483, 14220, 840, 1143, 10001, 18, 1278, 268, 17148, 678, 4040, 1033, 33045, 18, 6831, 36133, 1037, 891, 360, 25529, 382, 510, 47392, 549, 4275, 6503, 22635, 281, 703, 16072, 371, 1874, 23451, 4598, 4869, 16, 961, 35955, 8394, 371, 1874, 23451, 411, 21129, 4764, 282, 5630, 3417, 18, 3791, 309, 4676, 7065, 315, 464, 11116, 13421, 40390, 526, 2203, 16, 309, 1754, 282, 1423, 3678, 44879, 43087, 8124, 18, 967, 1874, 23451, 492, 1038, 22431, 1929, 18, 42986, 309, 3483, 14220, 3043, 9069, 18596, 539, 23108, 16, 309, 2114, 371, 37269, 5882, 4840, 10012, 16509, 21983, 4086, 510, 6492, 422, 25925, 332, 6964, 3483, 31605, 281, 22037, 779, 18, 478, 2176, 3483, 14220, 8633, 16509, 8009, 14364, 7001, 21983, 4086, 16, 289, 870, 3483, 31605, 1747, 334, 17, 6093, 3257, 272, 885, 2484, 2435, 910, 510, 2548, 9128, 8840, 727, 25948, 19209, 24873, 17039, 18, 1598, 17, 431, 20961, 8214, 7919, 45693, 366, 2961, 40361, 289, 6134, 4981, 7065, 315, 548, 510, 281, 2287, 519, 2418, 1673, 291, 18, 640, 22990, 4676, 3483, 31605, 639, 10322, 4684, 1033, 5544, 986, 18, 14155, 722, 37386, 4110, 282, 4479, 1045, 16, 367, 282, 14255, 678, 2879, 906, 17129, 1272, 779, 2158, 18, 740, 411, 17, 431, 15662, 25592, 7572, 7065, 315, 548, 3711, 32042, 651, 282, 727, 25948, 5688, 454, 32039, 867, 16, 374, 371, 15242, 32274, 2500, 1054, 484, 18, 10171, 523, 9471, 5823, 1033, 24701, 3483, 5159, 16, 2671, 11504, 282, 2145, 18, 365, 5329, 12482, 942, 639, 19338, 16, 515, 309, 481, 30373, 373, 1033, 1939, 986, 16, 453, 428, 5127, 5473, 16455, 43153, 49094, 2906, 3483, 31605, 322, 5092, 289, 3600, 9587, 7065, 315, 548, 3711, 373, 27297, 18, 13356, 31605, 281, 32242, 43936, 26656, 282, 14255, 282, 10707, 1045, 18, 17271, 24701, 1967, 3483, 5159, 6535, 282, 23479, 349, 13952, 2145, 18, 385, 4111, 19213, 10095, 3483, 31605, 2145, 2394, 10516, 13864, 722, 360, 25529, 382, 18, 824, 25036, 727, 25948, 16, 2364, 2239, 16, 754, 9, 1223, 36245, 7065, 22888, 510, 12229, 8521, 382, 18, 3397, 282, 23479, 3164, 1033, 4843, 21, 16, 6568, 34278, 18, 459, 1033, 11678, 411, 1129, 1717, 7065, 315, 548, 30710, 4843, 10590, 18, 824, 25036, 11673, 14886, 16, 1314, 282, 30681, 3196, 464, 3164, 422, 25925, 332, 19120, 3483, 5159, 309, 7512, 1033, 4843, 29, 646, 5096, 18, 12404, 10080, 840, 2671, 8991, 309, 7512, 4843, 23, 16, 25, 5096, 18, 478, 1140, 813, 2671, 9069, 3483, 5159, 309, 7512, 1033, 4843, 23, 16, 25, 5096, 16, 656, 5788, 339, 16, 374, 978, 2993, 2705, 1938, 541, 924, 16, 753, 29085, 18192, 289, 25207, 16785, 910, 510, 2548, 9216, 13279, 8204, 434, 15099, 282, 727, 25948, 33119, 13906, 7474, 18, 727, 25948, 2145, 12355, 10050, 16, 374, 3483, 31605, 24774, 10707, 779, 1747, 1097, 22103, 567, 1514, 2968, 18, 889, 13030, 541, 924, 16, 753, 8945, 14214, 2155, 510, 282, 19953, 445, 371, 42551, 4135, 282, 17618, 26931, 933, 2044, 3483, 31605, 282, 4843, 10590, 25262, 37926, 11956, 289, 17245, 12631, 309, 3531, 18, 1845, 25925, 332, 11820, 3483, 27841, 510, 6917, 30495, 282, 2145, 289, 2397, 3560, 2518, 4523, 2849, 12522, 510, 1760, 986, 18, 640, 3483, 14220, 47020, 20133, 30490, 9362, 6365, 6727, 6444, 264, 25618, 1492, 2, 1, 87, 1456, 81, 2448, 30, 4925, 16099, 13584, 24300, 16487, 434, 1218, 36918, 434, 17198, 4075, 381, 41079, 45452, 6764, 16, 5494, 33961, 2582, 965, 282, 6421, 18, 4852, 1293, 986, 4128, 4619, 309, 764, 1033, 3770, 15367, 289, 1218, 36918, 448, 4075, 510, 281, 9107, 5925, 8532, 4887, 8940, 10784, 45792, 541, 31653, 878, 594, 298, 2989, 4186, 1175, 18, 31224, 30, 732, 476, 265, 16, 428, 1299, 30872, 42426, 9501, 668, 6138, 16, 13672, 3895, 520, 322, 28252, 315, 18, 32895, 416, 6029, 4075, 3860, 29632, 2989, 41177, 7233, 2926, 45452, 8274, 16, 1978, 1545, 43177, 5197, 16, 6557, 455, 478, 3096, 18077, 13713, 9063, 861, 365, 17229, 9501, 416, 17773, 30532, 37056, 282, 21989, 31980, 29635, 12967, 5197, 4226, 11897, 45452, 6764, 22083, 13342, 39245, 16, 26889, 541, 8421, 309, 22893, 18, 365, 27246, 6881, 16, 374, 541, 924, 16, 753, 3604, 11325, 1854, 7576, 22893, 16, 31673, 1513, 3624, 322, 2619, 7640, 986, 16, 367, 19772, 322, 2619, 4317, 18, 8859, 4498, 3419, 290, 16218, 547, 1854, 12077, 594, 452, 18, 28616, 6881, 1177, 4871, 939, 43854, 16, 1830, 505, 3147, 942, 639, 7818, 289, 49580, 18, 1787, 11248, 11854, 16, 14517, 10896, 2742, 697, 17686, 20700, 16, 24300, 2900, 7431, 19691, 373, 16, 374, 6052, 1698, 14889, 309, 11325, 22893, 1472, 294, 5953, 17912, 16, 367, 4109, 651, 294, 12662, 18, 608, 11248, 5164, 16, 281, 9752, 697, 11924, 46842, 1354, 16, 1139, 322, 840, 20163, 12226, 649, 519, 6409, 20829, 18, 5043, 16, 428, 289, 329, 4717, 519, 8807, 519, 1710, 18, 10334, 282, 5781, 4532, 1751 ]
[ 10211, 396, 8807, 24277, 4317, 443, 6427, 986, 3716, 4385, 18, 3747, 373, 411, 17, 431, 4604, 13773, 282, 4008, 5410, 13230, 15397, 16, 374, 18695, 8801, 18048, 1512, 18470, 874, 39245, 289, 3624, 749, 19683, 16325, 15706, 18, 3647, 827, 1542, 33371, 3569, 28085, 347, 322, 8192, 16, 35586, 5750, 2636, 6295, 281, 9501, 536, 2341, 6726, 282, 2407, 289, 722, 17488, 40815, 16, 374, 18952, 2986, 41064, 434, 6764, 16, 2805, 867, 16, 1085, 1559, 25406, 13519, 16, 3716, 8838, 19439, 9501, 416, 17773, 473, 266, 18, 352, 18, 5067, 1011, 17822, 779, 6067, 934, 4128, 3660, 16, 4985, 282, 4822, 4903, 668, 5023, 30, 1854, 7576, 22893, 16, 1586, 840, 30165, 3176, 17, 1796, 44167, 11945, 282, 1175, 16, 745, 322, 19763, 2002, 18, 39166, 549, 4461, 282, 1175, 282, 722, 2172, 1212, 2100, 23909, 309, 3338, 4837, 18, 8129, 42190, 48281, 4903, 286, 30, 2411, 468, 11854, 2518, 847, 15733, 5056, 40169, 18, 824, 47270, 2792, 4397, 291, 16, 726, 282, 1939, 4691, 1045, 309, 2236, 1372, 2989, 18952, 5539, 840, 2270, 1920, 1176, 1135, 45452, 6764, 473, 298, 1186, 3419, 290, 25881, 9501, 547, 7353, 510, 5259, 986, 329, 5164, 289, 12911, 329, 4717, 814, 967, 803, 40022, 18039, 783, 541, 9501, 416, 2926, 510, 1286, 23006, 309, 2236, 9501, 665, 18, 9706, 1291, 17868, 32595, 41051, 20134, 45792, 1372, 4857, 30571, 282, 1175, 322, 3225, 16, 4813, 309, 1533, 986, 16218, 432, 21409, 290, 9501, 416, 38008, 482, 18, 29322, 343, 567, 808, 6740, 836, 37707, 4770, 718, 12783, 13788, 990, 9501, 668, 38008, 597, 289, 16587, 9153, 1519, 40236, 33183, 18092, 294, 6229, 2509, 40453, 4586, 7309, 334, 3025, 1175, 289, 906, 2156, 3819, 16005, 18, 832, 22648, 3595, 9501, 448, 38164, 322, 16605, 9556, 339, 4186, 16, 367, 281, 9752, 22323, 290, 22648, 366, 917, 14795, 15204, 6271, 16, 9457, 697, 9501, 432, 24297, 1320, 282, 9258, 2545, 3538, 5917, 360, 4000, 18, 365, 6031, 45583, 5906, 23006, 11854, 1209, 2842, 1356, 16, 13772, 360, 594, 626, 16, 322, 1698, 537, 9024, 649, 309, 7003, 668, 48373, 16, 537, 16419, 309, 22893, 16, 4162, 1754, 8350, 7345, 649, 31215, 281, 568, 2855, 18, 365, 803, 6588, 5781, 45792, 360, 45792, 282, 7338, 281, 3989, 47117, 20921, 761, 30, 1122, 4162, 478, 293, 1259, 746, 334, 23406, 470, 4360, 5067, 935, 34756, 16, 367, 329, 813, 510, 282, 18671, 1750, 39128, 3857, 22142, 3793, 48458, 37673, 289, 43764, 9187, 8520, 8393, 16, 18468, 510, 11608, 309, 9980, 17143, 18, 25582, 24654, 5296, 41034, 18835, 473, 4743, 16, 9705, 16, 289, 5209, 416, 13, 1320, 322, 19229, 47878, 289, 32960, 17234, 9501, 14958, 20163, 309, 7003, 668, 48373, 18, 8681, 485, 16597, 24574, 349, 18183, 34530, 23470, 289, 8520, 8393, 473, 6385, 432, 16, 367, 9904, 289, 2180, 2794, 4735, 432, 12303, 3338, 34977, 13, 14894, 1380, 322, 8070, 18, 608, 4000, 1139, 322, 8162, 4135, 30, 1696, 34977, 840, 27830, 475, 1143, 16, 367, 1493, 1398, 1372, 2989, 289, 821, 1079, 1352, 24075, 4186, 651, 475, 3440, 18, 5057, 274, 16, 428, 8391, 41652, 9501, 1952, 16, 697, 4272, 289, 2799, 382, 1139, 322, 17613, 5808, 309, 22893, 16, 367, 3891, 935, 289, 309, 20262, 48373, 16, 1139, 322, 18072, 12226, 649, 519, 1710, 18, 365, 1574, 4096, 19068, 10120, 322, 895, 953, 282, 10209, 18, 740, 1698, 953, 1033, 670, 2619, 3770, 15367, 289, 1033, 670, 2619, 25376, 448, 18, 8919, 381, 41079, 45452, 6764, 282, 1175, 322, 1139, 1202, 1549, 510, 492, 27626, 1549, 18, 378, 3339, 334, 6081, 2818, 3427, 289, 2141, 322, 10691, 4302, 45792, 38158, 4186, 19186, 5494, 7006, 520, 49267, 18, 2876, 1450, 475, 3066, 4128, 43830, 9501, 451, 10896, 16, 367, 2628, 16, 289, 43024, 16218, 416, 25887, 39245, 16, 26889, 541, 7358, 20829, 18, 740, 4836, 16, 3210, 16, 7099, 870, 4075, 289, 4933, 30165, 41064, 1147, 30014, 1143, 11548, 541, 48087, 30955, 289, 41051, 4135, 18, 4320, 5906, 11854, 1139, 19827, 322, 4247, 4302, 41134, 9024, 3673, 16, 322, 4538, 726, 290, 478, 899, 464, 607, 1816, 3243, 4330, 470, 309, 48373, 18, 38842, 549, 289, 2341, 13438, 48373, 282, 13122, 594, 298, 2545, 1175, 473, 29172, 883, 10896, 9657, 282, 4440, 1045, 726, 30307, 364, 349, 4317, 986, 13, 4362, 475, 1033, 19756, 416, 30754, 306, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 13789, 296, 20627, 20925, 1175, 7356, 4378, 13440, 309, 16620, 29149, 282, 15243, 16, 5186, 275, 1190, 1756, 282, 4056, 16329, 582, 14378, 2422, 18, 365, 11877, 7193, 9001, 5527, 315, 282, 3437, 281, 13021, 42100, 332, 18823, 18924, 18, 4185, 18548, 282, 36976, 2422, 16, 2759, 10434, 282, 16876, 8267, 2702, 840, 20850, 1272, 281, 871, 329, 15500, 18, 31224, 30, 17561, 1133, 19532, 16355, 1262, 15265, 411, 6367, 14378, 2422, 5684, 4378, 13440, 309, 16620, 29149, 4018, 18, 365, 11877, 7193, 9001, 5527, 315, 282, 4690, 516, 42100, 332, 8616, 18924, 289, 8026, 6406, 1190, 1756, 282, 16329, 582, 2394, 2477, 14452, 18, 640, 36976, 2422, 34143, 3236, 1421, 16586, 1133, 22773, 18, 365, 8267, 281, 45914, 7583, 10434, 2702, 639, 20850, 1272, 281, 871, 16, 753, 1852, 2709, 25748, 6036, 541, 7813, 1275, 16, 2412, 1587, 3303, 7529, 39061, 18, 385, 16213, 5571, 20925, 497, 8360, 47650, 16, 1146, 7678, 9764, 282, 3437, 10080, 292, 18, 3900, 758, 40975, 7977, 477, 7342, 18924, 2458, 6729, 8993, 289, 14179, 18847, 44143, 1624, 32471, 1527, 1760, 289, 2418, 12994, 8774, 18, 22050, 873, 35849, 44167, 15481, 1472, 282, 5572, 281, 781, 16, 282, 2114, 3147, 3005, 20850, 18, 740, 1360, 19534, 2874, 7739, 1157, 322, 43779, 16, 367, 282, 1949, 14183, 10080, 292, 19186, 16220, 322, 21889, 7412, 392, 3775, 935, 23853, 600, 319, 381, 2286, 6755, 18, 27025, 5527, 315, 11623, 2742, 5199, 289, 282, 8151, 4183, 281, 871, 906, 7736, 651, 1533, 30, 26, 18, 740, 294, 8151, 4623, 7573, 622, 282, 9547, 2759, 7342, 31060, 289, 42262, 10587, 2948, 3221, 2795, 651, 2123, 30, 3420, 18, 2124, 2279, 343, 281, 871, 7801, 478, 324, 20847, 7315, 861, 608, 21649, 1275, 639, 1272, 4601, 17, 10738, 268, 354, 16, 515, 2615, 745, 2530, 643, 925, 2419, 16, 322, 20002, 4674, 2607, 16, 367, 2992, 478, 643, 364, 470, 1379, 4781, 18, 967, 20545, 4518, 30, 6894, 4674, 413, 18924, 2812, 701, 282, 42808 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10211, 396, 8807, 24277, 4317, 443, 6427, 986, 3716, 4385, 18, 3747, 373, 411, 17, 431, 4604, 13773, 282, 4008, 5410, 13230, 15397, 16, 374, 18695, 8801, 18048, 1512, 18470, 874, 39245, 289, 3624, 749, 19683, 16325, 15706, 18, 3647, 827, 1542, 33371, 3569, 28085, 347, 322, 8192, 16, 35586, 5750, 2636, 6295, 281, 9501, 536, 2341, 6726, 282, 2407, 289, 722, 17488, 40815, 16, 374, 18952, 2986, 41064, 434, 6764, 16, 2805, 867, 16, 1085, 1559, 25406, 13519, 16, 3716, 8838, 19439, 9501, 416, 17773, 473, 266, 18, 352, 18, 5067, 1011, 17822, 779, 6067, 934, 4128, 3660, 16, 4985, 282, 4822, 4903, 668, 5023, 30, 1854, 7576, 22893, 16, 1586, 840, 30165, 3176, 17, 1796, 44167, 11945, 282, 1175, 16, 745, 322, 19763, 2002, 18, 39166, 549, 4461, 282, 1175, 282, 722, 2172, 1212, 2100, 23909, 309, 3338, 4837, 18, 8129, 42190, 48281, 4903, 286, 30, 2411, 468, 11854, 2518, 847, 15733, 5056, 40169, 18, 824, 47270, 2792, 4397, 291, 16, 726, 282, 1939, 4691, 1045, 309, 2236, 1372, 2989, 18952, 5539, 840, 2270, 1920, 1176, 1135, 45452, 6764, 473, 298, 1186, 3419, 290, 25881, 9501, 547, 7353, 510, 5259, 986, 329, 5164, 289, 12911, 329, 4717, 814, 967, 803, 40022, 18039, 783, 541, 9501, 416, 2926, 510, 1286, 23006, 309, 2236, 9501, 665, 18, 9706, 1291, 17868, 32595, 41051, 20134, 45792, 1372, 4857, 30571, 282, 1175, 322, 3225, 16, 4813, 309, 1533, 986, 16218, 432, 21409, 290, 9501, 416, 38008, 482, 18, 29322, 343, 567, 808, 6740, 836, 37707, 4770, 718, 12783, 13788, 990, 9501, 668, 38008, 597, 289, 16587, 9153, 1519, 40236, 33183, 18092, 294, 6229, 2509, 40453, 4586, 7309, 334, 3025, 1175, 289, 906, 2156, 3819, 16005, 18, 832, 22648, 3595, 9501, 448, 38164, 322, 16605, 9556, 339, 4186, 16, 367, 281, 9752, 22323, 290, 22648, 366, 917, 14795, 15204, 6271, 16, 9457, 697, 9501, 432, 24297, 1320, 282, 9258, 2545, 3538, 5917, 360, 4000, 18, 365, 6031, 45583, 5906, 23006, 11854, 1209, 2842, 1356, 16, 13772, 360, 594, 626, 16, 322, 1698, 537, 9024, 649, 309, 7003, 668, 48373, 16, 537, 16419, 309, 22893, 16, 4162, 1754, 8350, 7345, 649, 31215, 281, 568, 2855, 18, 365, 803, 6588, 5781, 45792, 360, 45792, 282, 7338, 281, 3989, 47117, 20921, 761, 30, 1122, 4162, 478, 293, 1259, 746, 334, 23406, 470, 4360, 5067, 935, 34756, 16, 367, 329, 813, 510, 282, 18671, 1750, 39128, 3857, 22142, 3793, 48458, 37673, 289, 43764, 9187, 8520, 8393, 16, 18468, 510, 11608, 309, 9980, 17143, 18, 25582, 24654, 5296, 41034, 18835, 473, 4743, 16, 9705, 16, 289, 5209, 416, 13, 1320, 322, 19229, 47878, 289, 32960, 17234, 9501, 14958, 20163, 309, 7003, 668, 48373, 18, 8681, 485, 16597, 24574, 349, 18183, 34530, 23470, 289, 8520, 8393, 473, 6385, 432, 16, 367, 9904, 289, 2180, 2794, 4735, 432, 12303, 3338, 34977, 13, 14894, 1380, 322, 8070, 18, 608, 4000, 1139, 322, 8162, 4135, 30, 1696, 34977, 840, 27830, 475, 1143, 16, 367, 1493, 1398, 1372, 2989, 289, 821, 1079, 1352, 24075, 4186, 651, 475, 3440, 18, 5057, 274, 16, 428, 8391, 41652, 9501, 1952, 16, 697, 4272, 289, 2799, 382, 1139, 322, 17613, 5808, 309, 22893, 16, 367, 3891, 935, 289, 309, 20262, 48373, 16, 1139, 322, 18072, 12226, 649, 519, 1710, 18, 365, 1574, 4096, 19068, 10120, 322, 895, 953, 282, 10209, 18, 740, 1698, 953, 1033, 670, 2619, 3770, 15367, 289, 1033, 670, 2619, 25376, 448, 18, 8919, 381, 41079, 45452, 6764, 282, 1175, 322, 1139, 1202, 1549, 510, 492, 27626, 1549, 18, 378, 3339, 334, 6081, 2818, 3427, 289, 2141, 322, 10691, 4302, 45792, 38158, 4186, 19186, 5494, 7006, 520, 49267, 18, 2876, 1450, 475, 3066, 4128, 43830, 9501, 451, 10896, 16, 367, 2628, 16, 289, 43024, 16218, 416, 25887, 39245, 16, 26889, 541, 7358, 20829, 18, 740, 4836, 16, 3210, 16, 7099, 870, 4075, 289, 4933, 30165, 41064, 1147, 30014, 1143, 11548, 541, 48087, 30955, 289, 41051, 4135, 18, 4320, 5906, 11854, 1139, 19827, 322, 4247, 4302, 41134, 9024, 3673, 16, 322, 4538, 726, 290, 478, 899, 464, 607, 1816, 3243, 4330, 470, 309, 48373, 18, 38842, 549, 289, 2341, 13438, 48373, 282, 13122, 594, 298, 2545, 1175, 473, 29172, 883, 10896, 9657, 282, 4440, 1045, 726, 30307, 364, 349, 4317, 986, 13, 4362, 475, 1033, 19756, 416, 30754, 306, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 13789, 296, 20627, 20925, 1175, 7356, 4378, 13440, 309, 16620, 29149, 282, 15243, 16, 5186, 275, 1190, 1756, 282, 4056, 16329, 582, 14378, 2422, 18, 365, 11877, 7193, 9001, 5527, 315, 282, 3437, 281, 13021, 42100, 332, 18823, 18924, 18, 4185, 18548, 282, 36976, 2422, 16, 2759, 10434, 282, 16876, 8267, 2702, 840, 20850, 1272, 281, 871, 329, 15500, 18, 31224, 30, 17561, 1133, 19532, 16355, 1262, 15265, 411, 6367, 14378, 2422, 5684, 4378, 13440, 309, 16620, 29149, 4018, 18, 365, 11877, 7193, 9001, 5527, 315, 282, 4690, 516, 42100, 332, 8616, 18924, 289, 8026, 6406, 1190, 1756, 282, 16329, 582, 2394, 2477, 14452, 18, 640, 36976, 2422, 34143, 3236, 1421, 16586, 1133, 22773, 18, 365, 8267, 281, 45914, 7583, 10434, 2702, 639, 20850, 1272, 281, 871, 16, 753, 1852, 2709, 25748, 6036, 541, 7813, 1275, 16, 2412, 1587, 3303, 7529, 39061, 18, 385, 16213, 5571, 20925, 497, 8360, 47650, 16, 1146, 7678, 9764, 282, 3437, 10080, 292, 18, 3900, 758, 40975, 7977, 477, 7342, 18924, 2458, 6729, 8993, 289, 14179, 18847, 44143, 1624, 32471, 1527, 1760, 289, 2418, 12994, 8774, 18, 22050, 873, 35849, 44167, 15481, 1472, 282, 5572, 281, 781, 16, 282, 2114, 3147, 3005, 20850, 18, 740, 1360, 19534, 2874, 7739, 1157, 322, 43779, 16, 367, 282, 1949, 14183, 10080, 292, 19186, 16220, 322, 21889, 7412, 392, 3775, 935, 23853, 600, 319, 381, 2286, 6755, 18, 27025, 5527, 315, 11623, 2742, 5199, 289, 282, 8151, 4183, 281, 871, 906, 7736, 651, 1533, 30, 26, 18, 740, 294, 8151, 4623, 7573, 622, 282, 9547, 2759, 7342, 31060, 289, 42262, 10587, 2948, 3221, 2795, 651, 2123, 30, 3420, 18, 2124, 2279, 343, 281, 871, 7801, 478, 324, 20847, 7315, 861, 608, 21649, 1275, 639, 1272, 4601, 17, 10738, 268, 354, 16, 515, 2615, 745, 2530, 643, 925, 2419, 16, 322, 20002, 4674, 2607, 16, 367, 2992, 478, 643, 364, 470, 1379, 4781, 18, 967, 20545, 4518, 30, 6894, 4674, 413, 18924, 2812, 701, 282, 42808 ]
[ 16, 367, 2512, 18847, 44143, 28474, 541, 2759, 4966, 2566, 539, 48148, 18, 1591, 7422, 281, 781, 20925, 1175, 3857, 25941, 6406, 16, 515, 519, 12056, 1939, 30, 2932, 39164, 360, 18924, 322, 19846, 18, 740, 282, 5462, 582, 4623, 5571, 20925, 5641, 32026, 309, 4781, 263, 289, 309, 48728, 16, 48253, 15958, 477, 12932, 2706, 30, 6568, 289, 5186, 275, 1190, 3455, 282, 43035, 4018, 779, 18, 22358, 4601, 19186, 7193, 6554, 322, 22006, 874, 289, 38552, 2706, 30, 2692, 18, 478, 1140, 813, 322, 639, 3716, 537, 2059, 2972, 416, 4466, 309, 803, 19843, 18, 1591, 1209, 21273, 8404, 37197, 16, 510, 4848, 6080, 478, 13261, 470, 290, 4542, 14452, 6548, 6548, 9680, 2759, 7342, 4137, 5527, 315, 18, 510, 3720, 504, 2318, 405, 939, 21980, 18, 1787, 10431, 481, 25019, 18, 817, 1696, 2615, 445, 2141, 282, 7342, 9988, 16, 322, 15804, 23356, 473, 12936, 6964, 18389, 934, 282, 2114, 492, 16480, 1293, 1879, 18, 27025, 975, 8826, 18, 1787, 924, 753, 6281, 289, 11623, 16, 3257, 14393, 874, 510, 1830, 3716, 2002, 3257, 322, 5106, 510, 1513, 808, 16, 6332, 16985, 18, 1345, 19870, 3666, 16, 3716, 10394, 281, 25257, 24108, 18, 817, 24794, 16, 1055, 656, 687, 2140, 3413, 4024, 861, 640, 36976, 2422, 19186, 7193, 13282, 4705, 16287, 289, 46621, 1472, 282, 3709, 651, 27273, 4287, 18, 5403, 966, 7739, 2409, 2759, 7342, 4040, 7193, 15500, 18, 365, 803, 8267, 289, 2753, 847, 27232, 14378, 2422, 18, 2227, 25613, 28365, 538, 1272, 14248, 334, 8954, 14452, 289, 282, 7388, 547, 8267, 7342, 1175, 2702, 840, 20850, 329, 40019, 1272, 281, 871, 16, 753, 1852, 25984, 14452, 18, 478, 1140, 40019, 5589, 15077, 1272, 3741, 19574, 16, 32075, 19532, 16355, 419, 18, 14097, 21183, 16, 515, 1469, 743, 339, 651, 25983, 910, 510, 4848, 5527, 315, 290, 47627, 7739, 4044, 18, 33736, 978, 289, 1888, 16287, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 45305, 1869, 18, 2, 1, 87, 1456, 81, 2448, 30, 1009, 36190, 5055, 21605, 523, 45720, 309, 46899, 11285, 282, 1551, 349, 49510, 272, 18, 9857, 3003, 11919, 1502, 5962, 16, 10339, 6946, 309, 31095, 5460, 32183, 4276, 16934, 33742, 44075, 7701, 888, 5771, 11925, 16, 282, 2114, 46251, 16, 374, 21605, 523, 28647, 11391, 31179, 289, 45252, 2658, 635, 478, 684, 10667, 16671, 2841, 861, 31224, 30, 471, 1358, 19589, 292, 16, 1215, 2218, 4211, 910, 510, 23613, 21605, 523, 43152, 31167, 16338, 8275, 478, 684, 10667, 16671, 2841, 910, 282, 18617, 3279, 505, 4434, 2582, 46899, 11285, 473, 293, 8703, 647, 3455, 282, 18617, 31179, 289, 21659, 281, 1047, 15706, 4407, 2675, 16934, 2653, 298, 9069, 45195, 33601, 814, 459, 331, 542, 21605, 3340, 5828, 13870, 30, 8275, 4179, 33156, 289, 6048, 1807, 16966, 8417, 16, 5545, 4934, 14986, 49661, 4989, 3041, 18, 37188, 30048, 16338, 38486, 282, 9874, 7775, 289, 46197, 281, 37569, 16, 282, 970, 2875, 17852, 3334, 16, 25389, 18, 6592, 773, 16, 21605, 19137, 9914, 14702, 282, 7024, 478, 684, 10667, 16671, 2841, 910, 10546, 14702, 510, 282, 10305, 8880, 16, 1450, 575, 32097, 1569, 8554, 27845, 17575, 4879, 21605, 3340, 18, 640, 2923, 7043, 935, 3164, 35034, 13331, 4623, 478, 44280, 1063, 3771, 861, 2326, 1779, 7150, 349, 34770, 18116, 3348, 411, 13764, 9478, 790, 2627, 1027, 7583, 17344, 21605, 523, 16833, 14824, 16012, 8275, 281, 11128, 14325, 16, 753, 13076, 773, 16, 374, 45815, 17704, 1518, 16, 282, 828, 505, 6604, 1211, 46899, 11285, 16, 492, 322, 10008, 18, 478, 1009, 446, 523, 6994, 13309, 910, 510, 38435, 1251, 1807, 5633, 2118, 309, 8275, 48872, 14824, 27713, 8226, 4764, 18, 478, 1358, 2060, 687, 16, 374, 492, 11309, 289, 6640, 282, 4623, 478, 44280, 1063, 3771, 470, 289, 374, 492, 9966, 3084, 16, 4957, 417, 3168, 2137, 281, 4778, 5578, 16, 510, 2006, 17, 299, 20483, 2548, 4944, 16, 18974, 11995, 2303, 21319, 397, 364, 368, 18, 510, 817, 1373, 7182, 5106, 16, 282, 5975, 808, 5511, 16, 367, 453, 4038, 445, 3189, 861, 365, 481, 808, 282, 5214, 6394, 21605, 523, 6048, 25796, 8840, 7043, 11088, 8316, 8053, 18, 478, 22012, 27804, 742, 289, 14674, 18540, 742, 910, 510, 45746, 11309, 16338, 4690, 17323, 7380, 8295, 291, 6875, 346, 13493, 18, 478, 4348, 3754, 281, 4183, 7663, 4923, 406, 16, 971, 528, 798, 282, 24306, 5931, 16, 367, 417, 510, 282, 6829, 12958, 7484, 16, 685, 2076, 39654, 837, 35524, 20946, 318, 16, 510, 4848, 478, 46088, 18, 8381, 470, 8316, 2931, 18, 510, 385, 5653, 779, 1559, 19201, 7043, 18, 5227, 3255, 2393, 1749, 898, 16, 515, 9482, 13135, 10820, 16, 289, 656, 6498, 18, 2949, 703, 1373, 7393, 1272, 38261, 16, 11195, 27532, 289, 12666, 1049, 274, 861, 42822, 671, 2750, 334, 44258, 9225, 322, 1033, 23523, 4177, 30, 27713, 4989, 3041, 14906, 41986, 467, 309, 19588, 1512, 281, 1657, 7923, 289, 46980, 24803, 33694, 16185, 18, 2877, 23613, 21605, 523, 15279, 15542, 309, 46899, 11285, 282, 1551, 349, 49510, 272, 18, 14187, 304, 662, 895, 1852, 3348, 411, 5606, 1078, 4764, 334, 1335, 7705, 16, 282, 1228, 38893, 4666, 2760, 13360, 282, 25295, 451, 31427, 478, 30635, 9609, 470, 282, 13186, 4018, 779, 18, 37188, 8232, 13516, 8424, 334, 870, 582, 16, 309, 1754, 1747, 50027, 289, 1177, 1247, 18, 1253, 719, 31237, 1286, 3597, 16, 367, 726, 1912, 3597, 309, 5192, 441, 547, 11073, 16934, 895, 953, 33091, 1247, 290, 5371, 2376, 281, 17575, 4879, 21605, 523, 31551, 4510, 18, 365, 10130, 481, 895, 3227, 20009, 289, 4521, 4336, 979, 30430, 354, 16, 282, 1750, 827, 13391, 4759, 3748, 16, 374, 492, 11391, 4092, 13360, 4407, 2675, 44694, 17036, 16, 367, 35097, 2959, 6384, 847, 281, 31176, 10159, 304, 282, 12760, 18, 46899, 11285, 8643, 18071, 282, 4599, 21605, 3340, 334, 38601, 282, 8597, 416, 44694, 3416, 18, 824, 4734, 14160, 16, 282, 17343, 20691, 19776, 2452, 8150, 16, 9278, 434, 422, 18, 4039, 29, 11828, 473, 819, 36626, 282, 8597, 416, 44694, 3416, 814, 14187, 304, 662, 33100, 18957, 290, 21659, 17737, 478, 348, 18995, 21605, 3340, 282, 44694, 3416, 7024, 478, 17114, 21169, 910, 7024, 478, 1140, 1599, 379, 3308, 3785, 478, 24785, 11004, 8555, 539, 14591, 478, 630, 5094, 280, 691, 17, 19479, 44326, 470, 289, 1888, 26928, 7257, 282, 2849, 13144, 773, 11309, 933, 19750, 861, 2877, 575 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 367, 2512, 18847, 44143, 28474, 541, 2759, 4966, 2566, 539, 48148, 18, 1591, 7422, 281, 781, 20925, 1175, 3857, 25941, 6406, 16, 515, 519, 12056, 1939, 30, 2932, 39164, 360, 18924, 322, 19846, 18, 740, 282, 5462, 582, 4623, 5571, 20925, 5641, 32026, 309, 4781, 263, 289, 309, 48728, 16, 48253, 15958, 477, 12932, 2706, 30, 6568, 289, 5186, 275, 1190, 3455, 282, 43035, 4018, 779, 18, 22358, 4601, 19186, 7193, 6554, 322, 22006, 874, 289, 38552, 2706, 30, 2692, 18, 478, 1140, 813, 322, 639, 3716, 537, 2059, 2972, 416, 4466, 309, 803, 19843, 18, 1591, 1209, 21273, 8404, 37197, 16, 510, 4848, 6080, 478, 13261, 470, 290, 4542, 14452, 6548, 6548, 9680, 2759, 7342, 4137, 5527, 315, 18, 510, 3720, 504, 2318, 405, 939, 21980, 18, 1787, 10431, 481, 25019, 18, 817, 1696, 2615, 445, 2141, 282, 7342, 9988, 16, 322, 15804, 23356, 473, 12936, 6964, 18389, 934, 282, 2114, 492, 16480, 1293, 1879, 18, 27025, 975, 8826, 18, 1787, 924, 753, 6281, 289, 11623, 16, 3257, 14393, 874, 510, 1830, 3716, 2002, 3257, 322, 5106, 510, 1513, 808, 16, 6332, 16985, 18, 1345, 19870, 3666, 16, 3716, 10394, 281, 25257, 24108, 18, 817, 24794, 16, 1055, 656, 687, 2140, 3413, 4024, 861, 640, 36976, 2422, 19186, 7193, 13282, 4705, 16287, 289, 46621, 1472, 282, 3709, 651, 27273, 4287, 18, 5403, 966, 7739, 2409, 2759, 7342, 4040, 7193, 15500, 18, 365, 803, 8267, 289, 2753, 847, 27232, 14378, 2422, 18, 2227, 25613, 28365, 538, 1272, 14248, 334, 8954, 14452, 289, 282, 7388, 547, 8267, 7342, 1175, 2702, 840, 20850, 329, 40019, 1272, 281, 871, 16, 753, 1852, 25984, 14452, 18, 478, 1140, 40019, 5589, 15077, 1272, 3741, 19574, 16, 32075, 19532, 16355, 419, 18, 14097, 21183, 16, 515, 1469, 743, 339, 651, 25983, 910, 510, 4848, 5527, 315, 290, 47627, 7739, 4044, 18, 33736, 978, 289, 1888, 16287, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 45305, 1869, 18, 2, 1, 87, 1456, 81, 2448, 30, 1009, 36190, 5055, 21605, 523, 45720, 309, 46899, 11285, 282, 1551, 349, 49510, 272, 18, 9857, 3003, 11919, 1502, 5962, 16, 10339, 6946, 309, 31095, 5460, 32183, 4276, 16934, 33742, 44075, 7701, 888, 5771, 11925, 16, 282, 2114, 46251, 16, 374, 21605, 523, 28647, 11391, 31179, 289, 45252, 2658, 635, 478, 684, 10667, 16671, 2841, 861, 31224, 30, 471, 1358, 19589, 292, 16, 1215, 2218, 4211, 910, 510, 23613, 21605, 523, 43152, 31167, 16338, 8275, 478, 684, 10667, 16671, 2841, 910, 282, 18617, 3279, 505, 4434, 2582, 46899, 11285, 473, 293, 8703, 647, 3455, 282, 18617, 31179, 289, 21659, 281, 1047, 15706, 4407, 2675, 16934, 2653, 298, 9069, 45195, 33601, 814, 459, 331, 542, 21605, 3340, 5828, 13870, 30, 8275, 4179, 33156, 289, 6048, 1807, 16966, 8417, 16, 5545, 4934, 14986, 49661, 4989, 3041, 18, 37188, 30048, 16338, 38486, 282, 9874, 7775, 289, 46197, 281, 37569, 16, 282, 970, 2875, 17852, 3334, 16, 25389, 18, 6592, 773, 16, 21605, 19137, 9914, 14702, 282, 7024, 478, 684, 10667, 16671, 2841, 910, 10546, 14702, 510, 282, 10305, 8880, 16, 1450, 575, 32097, 1569, 8554, 27845, 17575, 4879, 21605, 3340, 18, 640, 2923, 7043, 935, 3164, 35034, 13331, 4623, 478, 44280, 1063, 3771, 861, 2326, 1779, 7150, 349, 34770, 18116, 3348, 411, 13764, 9478, 790, 2627, 1027, 7583, 17344, 21605, 523, 16833, 14824, 16012, 8275, 281, 11128, 14325, 16, 753, 13076, 773, 16, 374, 45815, 17704, 1518, 16, 282, 828, 505, 6604, 1211, 46899, 11285, 16, 492, 322, 10008, 18, 478, 1009, 446, 523, 6994, 13309, 910, 510, 38435, 1251, 1807, 5633, 2118, 309, 8275, 48872, 14824, 27713, 8226, 4764, 18, 478, 1358, 2060, 687, 16, 374, 492, 11309, 289, 6640, 282, 4623, 478, 44280, 1063, 3771, 470, 289, 374, 492, 9966, 3084, 16, 4957, 417, 3168, 2137, 281, 4778, 5578, 16, 510, 2006, 17, 299, 20483, 2548, 4944, 16, 18974, 11995, 2303, 21319, 397, 364, 368, 18, 510, 817, 1373, 7182, 5106, 16, 282, 5975, 808, 5511, 16, 367, 453, 4038, 445, 3189, 861, 365, 481, 808, 282, 5214, 6394, 21605, 523, 6048, 25796, 8840, 7043, 11088, 8316, 8053, 18, 478, 22012, 27804, 742, 289, 14674, 18540, 742, 910, 510, 45746, 11309, 16338, 4690, 17323, 7380, 8295, 291, 6875, 346, 13493, 18, 478, 4348, 3754, 281, 4183, 7663, 4923, 406, 16, 971, 528, 798, 282, 24306, 5931, 16, 367, 417, 510, 282, 6829, 12958, 7484, 16, 685, 2076, 39654, 837, 35524, 20946, 318, 16, 510, 4848, 478, 46088, 18, 8381, 470, 8316, 2931, 18, 510, 385, 5653, 779, 1559, 19201, 7043, 18, 5227, 3255, 2393, 1749, 898, 16, 515, 9482, 13135, 10820, 16, 289, 656, 6498, 18, 2949, 703, 1373, 7393, 1272, 38261, 16, 11195, 27532, 289, 12666, 1049, 274, 861, 42822, 671, 2750, 334, 44258, 9225, 322, 1033, 23523, 4177, 30, 27713, 4989, 3041, 14906, 41986, 467, 309, 19588, 1512, 281, 1657, 7923, 289, 46980, 24803, 33694, 16185, 18, 2877, 23613, 21605, 523, 15279, 15542, 309, 46899, 11285, 282, 1551, 349, 49510, 272, 18, 14187, 304, 662, 895, 1852, 3348, 411, 5606, 1078, 4764, 334, 1335, 7705, 16, 282, 1228, 38893, 4666, 2760, 13360, 282, 25295, 451, 31427, 478, 30635, 9609, 470, 282, 13186, 4018, 779, 18, 37188, 8232, 13516, 8424, 334, 870, 582, 16, 309, 1754, 1747, 50027, 289, 1177, 1247, 18, 1253, 719, 31237, 1286, 3597, 16, 367, 726, 1912, 3597, 309, 5192, 441, 547, 11073, 16934, 895, 953, 33091, 1247, 290, 5371, 2376, 281, 17575, 4879, 21605, 523, 31551, 4510, 18, 365, 10130, 481, 895, 3227, 20009, 289, 4521, 4336, 979, 30430, 354, 16, 282, 1750, 827, 13391, 4759, 3748, 16, 374, 492, 11391, 4092, 13360, 4407, 2675, 44694, 17036, 16, 367, 35097, 2959, 6384, 847, 281, 31176, 10159, 304, 282, 12760, 18, 46899, 11285, 8643, 18071, 282, 4599, 21605, 3340, 334, 38601, 282, 8597, 416, 44694, 3416, 18, 824, 4734, 14160, 16, 282, 17343, 20691, 19776, 2452, 8150, 16, 9278, 434, 422, 18, 4039, 29, 11828, 473, 819, 36626, 282, 8597, 416, 44694, 3416, 814, 14187, 304, 662, 33100, 18957, 290, 21659, 17737, 478, 348, 18995, 21605, 3340, 282, 44694, 3416, 7024, 478, 17114, 21169, 910, 7024, 478, 1140, 1599, 379, 3308, 3785, 478, 24785, 11004, 8555, 539, 14591, 478, 630, 5094, 280, 691, 17, 19479, 44326, 470, 289, 1888, 26928, 7257, 282, 2849, 13144, 773, 11309, 933, 19750, 861, 2877, 575 ]
[ 46899, 11285, 29230, 16, 374, 21605, 523, 478, 806, 3108, 12181, 25406, 7024, 478, 17114, 21169, 910, 505, 15678, 19401, 3594, 473, 267, 3031, 542, 6367, 13, 289, 2470, 5772, 22184, 360, 44381, 3416, 861, 46899, 11285, 1038, 10519, 329, 21605, 3340, 289, 2107, 4211, 289, 3828, 16, 374, 478, 4234, 3597, 5049, 779, 21605, 523, 16, 39443, 33373, 528, 822, 2407, 25193, 35022, 16, 10685, 477, 1360, 42606, 22973, 364, 7024, 478, 684, 10667, 16671, 2841, 861, 27179, 34665, 15224, 5754, 16, 11309, 2966, 5077, 8554, 11024, 16, 13694, 3455, 282, 26862, 37001, 289, 3029, 2137, 14314, 9835, 16, 9848, 46899, 11285, 18, 365, 9878, 23032, 11413, 4498, 1858, 3419, 290, 2241, 478, 684, 10667, 16671, 2841, 861, 9873, 17737, 16, 594, 2339, 36581, 309, 13519, 11056, 16, 282, 10666, 11925, 14268, 1472, 1176, 3655, 5809, 30, 14702, 20691, 282, 7799, 547, 3131, 962, 9835, 14231, 1715, 19856, 5999, 365, 28835, 282, 9907, 994, 13499, 46479, 1033, 3968, 2636, 5825, 18, 21605, 523, 9848, 30, 2826, 16, 975, 17845, 18828, 282, 28164, 289, 8296, 16, 2686, 16, 3429, 33373, 16, 492, 13598, 697, 475, 282, 9556, 6839, 8554, 14786, 18, 9584, 4360, 12062, 10125, 294, 13265, 5470, 552, 16, 1033, 924, 16, 773, 16605, 3333, 16872, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3191, 4044, 478, 684, 3200, 276, 470, 6816, 10989, 394, 22403, 16, 3349, 2822, 289, 41600, 16465, 282, 6374, 17, 263, 16, 34210, 846, 22878, 411, 41742, 955, 3450, 1423, 46745, 16, 13641, 1781, 10320, 578, 324, 289, 7545, 324, 16, 14175, 7781, 1235, 16, 294, 3200, 276, 15385, 22103, 16, 1461, 274, 394, 8060, 3834, 16, 367, 19465, 4549, 13077, 1117, 448, 8885, 2532, 919, 16, 515, 322, 19147, 37590, 18, 31224, 30, 677, 4147, 263, 10989, 394, 22403, 2309, 1218, 2375, 2484, 18, 740, 481, 9089, 18, 4950, 639, 373, 475, 689, 13091, 309, 6337, 289, 3660, 282, 1169, 2915, 18, 4406, 4605, 289, 3511, 16, 5869, 477, 23285, 16, 1568, 16964, 266, 427, 16, 3772, 451, 289, 294, 3200, 395, 16, 651, 1660, 393, 322, 3660, 35, 740, 2309, 764, 289, 322, 9203, 7790, 18, 365, 11496, 389, 19228, 282, 19395, 492, 16, 895, 953, 16, 935, 289, 282, 2382, 7025, 322, 17182, 18, 740, 30532, 4065, 492, 10989, 394, 293, 2509, 289, 505, 40975, 4080, 17, 299, 16417, 16, 34860, 16, 21962, 2854, 16, 36359, 289, 2513, 4269, 18, 478, 4408, 354, 1923, 283, 23077, 16, 492, 9096, 1568, 10957, 406, 15078, 30, 374, 282, 7683, 16, 17518, 2848, 282, 830, 418, 298, 6265, 670, 282, 302, 673, 435, 16, 4573, 5921, 1578, 670, 1215, 273, 1578, 48970, 44349, 16, 3387, 1122, 912, 23487, 9334, 6860, 5697, 262, 1383, 966, 839, 282, 43434, 1694, 282, 1634, 16718, 24055, 3314, 41279, 11762, 13904, 24286, 16, 453, 374, 2441, 18667, 1867, 664, 696, 968, 289, 465, 289, 417, 465, 18, 439, 1038, 8474, 26741, 16, 28181, 15561, 289, 6698, 299, 1043, 16, 961, 1373, 428, 1494, 16, 367, 3361, 322, 4247, 18, 10989, 394, 3899, 2928, 286, 360, 11563, 17391, 16, 42068, 289, 1110, 16, 1085, 1011, 18, 4798, 36800, 11071, 1014, 16, 9705, 16, 289, 1373, 322, 16285, 18, 740, 1472, 17064, 16, 374, 749, 1129, 281, 2673, 5735, 15273, 1967, 1280, 1965, 1588, 749, 37892, 45887, 18, 403, 16933, 1027, 24704, 476, 651, 1548, 374, 475, 15661, 6143, 9269, 6780, 4903, 318, 16, 6713, 481, 3257, 289, 7946, 16, 428, 9431, 16, 367, 541, 16321, 2650, 30318, 322, 1143, 16, 828, 518, 4289, 13511, 2688, 1924, 1932, 2300, 30, 478, 677, 13419, 862, 16, 442, 3431, 1775, 37246, 278, 382, 6860, 967, 803, 510, 5522, 1280, 14590, 2833, 16, 282, 6588, 360, 2132, 354, 2325, 680, 478, 1009, 271, 2063, 11026, 280, 394, 910, 8912, 32257, 1472, 322, 936, 31623, 5384, 23320, 432, 21033, 18, 740, 289, 11210, 322, 936, 296, 23282, 16, 289, 1694, 16108, 16, 367, 5667, 329, 1850, 13815, 282, 40374, 16, 6401, 18538, 5184, 680, 33605, 18, 27463, 1357, 15252, 282, 6656, 3059, 277, 1996, 37836, 651, 481, 1588, 289, 4521, 360, 2770, 5610, 16, 4813, 309, 475, 4903, 448, 15661, 36849, 651, 360, 30869, 441, 6647, 24529, 13124, 519, 381, 29641, 13996, 560, 7069, 28704, 766, 18, 8281, 6294, 478, 1140, 16103, 662, 2839, 890, 910, 3057, 16, 428, 27317, 1759, 14923, 798, 309, 360, 1013, 9437, 16, 367, 502, 289, 26318, 12373, 30567, 7032, 16009, 1461, 274, 483, 290, 11351, 19259, 27057, 16, 3609, 1891, 289, 15857, 18, 1860, 3812, 1082, 309, 38029, 466, 16, 11635, 23427, 16, 4671, 2515, 3583, 289, 19935, 284, 41672, 41126, 15463, 353, 23198, 347, 16, 47136, 5543, 635, 18, 459, 33199, 979, 4090, 23198, 347, 16, 6401, 2198, 44339, 1873, 42462, 6239, 19349, 16, 282, 1754, 12697, 329, 2236, 411, 1461, 274, 483, 282, 3998, 23259, 18226, 281, 43637, 1082, 1128, 293, 3174, 7332, 282, 3846, 475, 1461, 6252, 539, 35015, 16, 1195, 350, 342, 7927, 10138, 8007, 979, 13130, 289, 6072, 35785, 16, 21110, 5368, 5262, 3259, 3280, 3021, 18, 459, 481, 687, 3073, 16, 374, 1694, 16, 4905, 289, 12182, 21208, 34664, 276, 16, 32538, 307, 918, 16, 33251, 318, 289, 1548, 1698, 953, 37569, 16, 289, 6934, 38440, 8206, 35426, 8124, 289, 10969, 18, 640, 2456, 2463, 475, 529, 32562, 1569, 289, 3215, 23721, 16, 289, 2309, 1177, 16, 43401, 3899, 778, 16, 1379, 12945, 289, 27503, 16, 477, 3025, 505, 26089, 1330, 16, 29912, 1518, 289, 24005, 299, 1685, 16, 10835, 17941, 12376, 37221, 4314, 6138, 16, 32455, 289, 38406, 22316, 6123, 294, 3200, 291, 16, 32765, 29555, 1941, 24034, 20150, 36756, 18, 478, 684, 3200, 276, 470, 510, 1726, 16, 581, 1779, 5267, 3191, 3033, 16, 322, 445, 48537, 289, 935, 3916, 363, 477, 15447, 18, 640, 747, 286, 34528, 17450, 15782, 2365, 523, 1703, 25327, 1525, 16, 9342, 17275, 289, 36324, 15859, 330, 3772, 1330, 18, 378, 770, 1079, 3793, 1292, 45164, 17, 47875, 397, 15766, 16, 475, 870, 478, 39331, 19996, 447, 470, 289, 478, 684, 2774, 3223, 447, 910, 1375, 521, 3793, 16, 349, 2248, 21088, 289, 1946, 600, 1936, 16, 13712, 360, 3299, 4829, 282, 2115, 10505, 14241, 18, 459, 45666, 16, 367, 11814, 1003, 18, 2255, 424, 39618, 16, 537, 282, 30965, 18, 4320, 322, 5668, 1867, 505, 7781, 20880, 309, 13404, 582, 16, 374, 7332 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46899, 11285, 29230, 16, 374, 21605, 523, 478, 806, 3108, 12181, 25406, 7024, 478, 17114, 21169, 910, 505, 15678, 19401, 3594, 473, 267, 3031, 542, 6367, 13, 289, 2470, 5772, 22184, 360, 44381, 3416, 861, 46899, 11285, 1038, 10519, 329, 21605, 3340, 289, 2107, 4211, 289, 3828, 16, 374, 478, 4234, 3597, 5049, 779, 21605, 523, 16, 39443, 33373, 528, 822, 2407, 25193, 35022, 16, 10685, 477, 1360, 42606, 22973, 364, 7024, 478, 684, 10667, 16671, 2841, 861, 27179, 34665, 15224, 5754, 16, 11309, 2966, 5077, 8554, 11024, 16, 13694, 3455, 282, 26862, 37001, 289, 3029, 2137, 14314, 9835, 16, 9848, 46899, 11285, 18, 365, 9878, 23032, 11413, 4498, 1858, 3419, 290, 2241, 478, 684, 10667, 16671, 2841, 861, 9873, 17737, 16, 594, 2339, 36581, 309, 13519, 11056, 16, 282, 10666, 11925, 14268, 1472, 1176, 3655, 5809, 30, 14702, 20691, 282, 7799, 547, 3131, 962, 9835, 14231, 1715, 19856, 5999, 365, 28835, 282, 9907, 994, 13499, 46479, 1033, 3968, 2636, 5825, 18, 21605, 523, 9848, 30, 2826, 16, 975, 17845, 18828, 282, 28164, 289, 8296, 16, 2686, 16, 3429, 33373, 16, 492, 13598, 697, 475, 282, 9556, 6839, 8554, 14786, 18, 9584, 4360, 12062, 10125, 294, 13265, 5470, 552, 16, 1033, 924, 16, 773, 16605, 3333, 16872, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3191, 4044, 478, 684, 3200, 276, 470, 6816, 10989, 394, 22403, 16, 3349, 2822, 289, 41600, 16465, 282, 6374, 17, 263, 16, 34210, 846, 22878, 411, 41742, 955, 3450, 1423, 46745, 16, 13641, 1781, 10320, 578, 324, 289, 7545, 324, 16, 14175, 7781, 1235, 16, 294, 3200, 276, 15385, 22103, 16, 1461, 274, 394, 8060, 3834, 16, 367, 19465, 4549, 13077, 1117, 448, 8885, 2532, 919, 16, 515, 322, 19147, 37590, 18, 31224, 30, 677, 4147, 263, 10989, 394, 22403, 2309, 1218, 2375, 2484, 18, 740, 481, 9089, 18, 4950, 639, 373, 475, 689, 13091, 309, 6337, 289, 3660, 282, 1169, 2915, 18, 4406, 4605, 289, 3511, 16, 5869, 477, 23285, 16, 1568, 16964, 266, 427, 16, 3772, 451, 289, 294, 3200, 395, 16, 651, 1660, 393, 322, 3660, 35, 740, 2309, 764, 289, 322, 9203, 7790, 18, 365, 11496, 389, 19228, 282, 19395, 492, 16, 895, 953, 16, 935, 289, 282, 2382, 7025, 322, 17182, 18, 740, 30532, 4065, 492, 10989, 394, 293, 2509, 289, 505, 40975, 4080, 17, 299, 16417, 16, 34860, 16, 21962, 2854, 16, 36359, 289, 2513, 4269, 18, 478, 4408, 354, 1923, 283, 23077, 16, 492, 9096, 1568, 10957, 406, 15078, 30, 374, 282, 7683, 16, 17518, 2848, 282, 830, 418, 298, 6265, 670, 282, 302, 673, 435, 16, 4573, 5921, 1578, 670, 1215, 273, 1578, 48970, 44349, 16, 3387, 1122, 912, 23487, 9334, 6860, 5697, 262, 1383, 966, 839, 282, 43434, 1694, 282, 1634, 16718, 24055, 3314, 41279, 11762, 13904, 24286, 16, 453, 374, 2441, 18667, 1867, 664, 696, 968, 289, 465, 289, 417, 465, 18, 439, 1038, 8474, 26741, 16, 28181, 15561, 289, 6698, 299, 1043, 16, 961, 1373, 428, 1494, 16, 367, 3361, 322, 4247, 18, 10989, 394, 3899, 2928, 286, 360, 11563, 17391, 16, 42068, 289, 1110, 16, 1085, 1011, 18, 4798, 36800, 11071, 1014, 16, 9705, 16, 289, 1373, 322, 16285, 18, 740, 1472, 17064, 16, 374, 749, 1129, 281, 2673, 5735, 15273, 1967, 1280, 1965, 1588, 749, 37892, 45887, 18, 403, 16933, 1027, 24704, 476, 651, 1548, 374, 475, 15661, 6143, 9269, 6780, 4903, 318, 16, 6713, 481, 3257, 289, 7946, 16, 428, 9431, 16, 367, 541, 16321, 2650, 30318, 322, 1143, 16, 828, 518, 4289, 13511, 2688, 1924, 1932, 2300, 30, 478, 677, 13419, 862, 16, 442, 3431, 1775, 37246, 278, 382, 6860, 967, 803, 510, 5522, 1280, 14590, 2833, 16, 282, 6588, 360, 2132, 354, 2325, 680, 478, 1009, 271, 2063, 11026, 280, 394, 910, 8912, 32257, 1472, 322, 936, 31623, 5384, 23320, 432, 21033, 18, 740, 289, 11210, 322, 936, 296, 23282, 16, 289, 1694, 16108, 16, 367, 5667, 329, 1850, 13815, 282, 40374, 16, 6401, 18538, 5184, 680, 33605, 18, 27463, 1357, 15252, 282, 6656, 3059, 277, 1996, 37836, 651, 481, 1588, 289, 4521, 360, 2770, 5610, 16, 4813, 309, 475, 4903, 448, 15661, 36849, 651, 360, 30869, 441, 6647, 24529, 13124, 519, 381, 29641, 13996, 560, 7069, 28704, 766, 18, 8281, 6294, 478, 1140, 16103, 662, 2839, 890, 910, 3057, 16, 428, 27317, 1759, 14923, 798, 309, 360, 1013, 9437, 16, 367, 502, 289, 26318, 12373, 30567, 7032, 16009, 1461, 274, 483, 290, 11351, 19259, 27057, 16, 3609, 1891, 289, 15857, 18, 1860, 3812, 1082, 309, 38029, 466, 16, 11635, 23427, 16, 4671, 2515, 3583, 289, 19935, 284, 41672, 41126, 15463, 353, 23198, 347, 16, 47136, 5543, 635, 18, 459, 33199, 979, 4090, 23198, 347, 16, 6401, 2198, 44339, 1873, 42462, 6239, 19349, 16, 282, 1754, 12697, 329, 2236, 411, 1461, 274, 483, 282, 3998, 23259, 18226, 281, 43637, 1082, 1128, 293, 3174, 7332, 282, 3846, 475, 1461, 6252, 539, 35015, 16, 1195, 350, 342, 7927, 10138, 8007, 979, 13130, 289, 6072, 35785, 16, 21110, 5368, 5262, 3259, 3280, 3021, 18, 459, 481, 687, 3073, 16, 374, 1694, 16, 4905, 289, 12182, 21208, 34664, 276, 16, 32538, 307, 918, 16, 33251, 318, 289, 1548, 1698, 953, 37569, 16, 289, 6934, 38440, 8206, 35426, 8124, 289, 10969, 18, 640, 2456, 2463, 475, 529, 32562, 1569, 289, 3215, 23721, 16, 289, 2309, 1177, 16, 43401, 3899, 778, 16, 1379, 12945, 289, 27503, 16, 477, 3025, 505, 26089, 1330, 16, 29912, 1518, 289, 24005, 299, 1685, 16, 10835, 17941, 12376, 37221, 4314, 6138, 16, 32455, 289, 38406, 22316, 6123, 294, 3200, 291, 16, 32765, 29555, 1941, 24034, 20150, 36756, 18, 478, 684, 3200, 276, 470, 510, 1726, 16, 581, 1779, 5267, 3191, 3033, 16, 322, 445, 48537, 289, 935, 3916, 363, 477, 15447, 18, 640, 747, 286, 34528, 17450, 15782, 2365, 523, 1703, 25327, 1525, 16, 9342, 17275, 289, 36324, 15859, 330, 3772, 1330, 18, 378, 770, 1079, 3793, 1292, 45164, 17, 47875, 397, 15766, 16, 475, 870, 478, 39331, 19996, 447, 470, 289, 478, 684, 2774, 3223, 447, 910, 1375, 521, 3793, 16, 349, 2248, 21088, 289, 1946, 600, 1936, 16, 13712, 360, 3299, 4829, 282, 2115, 10505, 14241, 18, 459, 45666, 16, 367, 11814, 1003, 18, 2255, 424, 39618, 16, 537, 282, 30965, 18, 4320, 322, 5668, 1867, 505, 7781, 20880, 309, 13404, 582, 16, 374, 7332 ]
[ 294, 3200, 291, 17, 25747, 1447, 523, 282, 3846, 16, 3387, 1279, 294, 3200, 291, 31519, 5738, 20109, 434, 16964, 266, 427, 16, 3168, 11581, 282, 327, 24236, 1165, 4655, 508, 16, 16535, 25227, 36411, 294, 2865, 289, 40482, 18, 459, 16, 2862, 16, 7853, 1380, 1373, 7012, 322, 20115, 18, 459, 481, 322, 8970, 6529, 17, 6845, 14988, 281, 5155, 9364, 282, 10833, 1616, 18, 4149, 3257, 20351, 2979, 16, 349, 1754, 9160, 525, 7902, 18, 996, 575, 7770, 7157, 315, 21109, 478, 33522, 309, 13612, 472, 1497, 368, 910, 988, 16177, 12057, 39195, 871, 16, 961, 381, 803, 322, 7587, 5808, 16, 541, 26209, 1354, 2003, 22222, 1830, 373, 799, 307, 3209, 19802, 434, 17150, 521, 18, 3428, 4913, 18750, 18, 3428, 16619, 9349, 7194, 16, 30441, 806, 11817, 282, 25934, 464, 11798, 5036, 16, 360, 41646, 289, 47923, 617, 18, 39404, 3162, 1694, 281, 821, 21322, 1703, 3113, 315, 16, 282, 6588, 360, 9084, 18, 10989, 394, 3899, 1133, 34210, 1038, 12530, 22738, 30350, 27928, 16, 515, 16619, 622, 1056, 265, 2478, 39828, 10665, 773, 19756, 324, 18, 3557, 324, 26771, 413, 749, 47919, 1887, 18, 36025, 1280, 37726, 6007, 18, 459, 481, 373, 764, 478, 40345, 418, 910, 428, 5780, 24903, 34359, 23003, 16, 827, 373, 942, 639, 9607, 649, 6642, 6067, 289, 14372, 2009, 5546, 1489, 1280, 18, 740, 978, 1745, 2955, 16, 289, 37383, 5702, 14321, 2763, 454, 426, 507, 16, 5076, 3073, 16, 374, 827, 764, 2734, 424, 324, 1676, 16, 492, 49569, 3213, 2089, 20571, 272, 19990, 3910, 18, 478, 684, 3200, 276, 30, 18969, 276, 16, 23259, 16, 3232, 1340, 861, 3720, 10989, 394, 3899, 18, 421, 6060, 478, 684, 823, 8946, 910, 478, 43711, 45057, 17, 24178, 8392, 267, 910, 4479, 18, 2, 1, 87, 1456, 81, 2448, 30, 21837, 34544, 18164, 478, 28345, 470, 21587, 1035, 378, 1123, 931, 4654, 282, 23838, 1612, 1943, 23905, 294, 18308, 10347, 680, 11042, 436, 4642, 282, 22322, 1212, 478, 21037, 2274, 40595, 482, 910, 45829, 38101, 299, 3893, 16, 374, 768, 1083, 3076, 1789, 328, 665, 315, 12146, 282, 681, 1822, 1212, 478, 4580, 1138, 910, 478, 16846, 429, 470, 26579, 13135, 3299, 329, 478, 48334, 45054, 470, 3610, 9, 835, 309, 25302, 4231, 324, 1467, 291, 375, 405, 16, 367, 478, 780, 14604, 470, 8232, 17605, 16, 29671, 37792, 25817, 2479, 3763, 349, 43606, 1428, 278, 262, 18, 31224, 30, 6889, 2711, 489, 1510, 10552, 478, 26732, 888, 470, 32464, 478, 13467, 910, 8084, 16, 17182, 282, 8928, 763, 9536, 16, 6177, 33063, 10078, 17, 8216, 1116, 2003, 282, 5690, 5625, 18, 4530, 867, 2944, 726, 322, 2117, 1815, 349, 17252, 812, 7113, 17793, 18308, 10347, 778, 47487, 21587, 1035, 378, 1123, 931, 4654, 39440, 764, 445, 24924, 965, 282, 5271, 4966, 25734, 2776, 20801, 7006, 520, 5314, 484, 18, 9711, 2410, 1269, 282, 5271, 478, 28345, 470, 27366, 2477, 16, 367, 1548, 6281, 282, 4907, 2662, 1747, 26062, 20169, 1822, 9783, 324, 512, 670, 4210, 3873, 357, 22689, 18, 640, 378, 1123, 931, 397, 272, 575, 2944, 726, 9560, 2941, 22322, 778, 478, 21037, 2274, 40227, 910, 6548, 9680, 2024, 10467, 10399, 324, 23530, 1623, 6097, 8941, 2409, 18308, 10347, 933, 32462, 18, 365, 5271, 478, 301, 11415, 470, 726, 23054, 14187, 616, 688, 350, 1528, 343, 16, 2255, 405, 403, 616, 40981, 289, 13681, 22114, 41819, 18, 1665, 367, 1965, 5548, 10399, 324, 23530, 3424, 12947, 290, 378, 1123, 931, 16460, 18, 478, 35172, 16, 1965, 2493, 656, 15028, 2529, 764, 2236, 18308, 36291, 18, 889, 840, 774, 34544, 21587, 1035, 378, 1123, 931, 4654, 18, 11324, 16, 36273, 9934, 16, 289, 481, 840, 939, 1904, 541, 2759, 4966, 910, 510, 7332, 1694, 10399, 324, 293, 513, 33525, 532, 11378, 48080, 494, 3517, 18, 640, 566, 742, 478, 28345, 470, 16095, 2776, 12285, 282, 11526, 1555, 7337, 2815, 16, 374, 478, 21037, 2274, 40227, 470, 519, 4319, 1326, 322, 29403, 282, 3216, 281, 22573, 23579, 334, 4193, 272, 19671, 521, 18, 2046, 827, 2900, 8369, 10078, 17, 46796, 764, 322, 20310, 16, 502, 9956, 334, 12651, 3163, 10399, 324, 293, 513, 19763, 505, 1965, 2493, 18, 365, 803, 1750, 21587, 1035, 282, 478, 21037, 2274, 40595, 482, 470, 1127, 3008, 6583, 1463, 281, 5987, 8676, 4104, 623, 6235, 1624, 1029, 16, 294, 15695, 16, 529, 43535, 668, 16129, 12715, 939, 10660, 18, 1735, 687, 478, 13467, 470, 282, 803, 1750, 8633, 749, 7095, 434, 45229, 282, 5503, 41319, 18308, 36291, 18, 439, 7736, 2151, 486, 17793, 18, 1397, 575, 519, 478, 21037, 2274, 40595, 429, 910, 3216, 282, 23838, 1612, 895, 23113, 19782, 18, 985, 3110, 33254, 24599, 44132, 1624, 27713, 7586, 860, 39982, 478, 27296, 17, 15900, 8426, 382, 288, 470, 48596, 289, 37344, 273, 1034, 4325, 268, 296, 987, 36343, 1698, 5529, 478, 301, 11415, 470, 329, 697, 20420, 48465, 10167, 25618, 7900, 18, 1178, 32656, 5071, 4276, 478, 49431, 864, 379, 470, 5675, 306, 17524, 313, 34569, 10480, 46199, 289, 13673, 9118, 24900, 837, 4966, 768, 1083, 7286, 1789, 328, 665, 315, 16, 502, 505, 6357, 334, 7342, 45965, 45829, 38101, 299, 1624, 5175, 16, 282, 11069, 924, 16, 828, 20388, 3350, 768, 1083, 7286, 18, 996, 38101, 299, 17684, 6751, 879, 473, 1369, 505, 4734, 13, 4193, 1789, 328, 665, 315, 282, 681, 1822, 778, 478, 9284, 910, 988, 10398, 38101, 299, 23054, 1038, 40524, 1520, 873, 14901, 842, 41378, 5888, 1624, 768, 1083, 3076, 6258, 34648, 289, 625, 843, 6838, 5871, 296, 1042, 42235, 18, 478, 4348, 475, 13392, 16, 374, 1789, 328, 665, 315, 2493, 18075, 997, 294, 1299, 282, 478, 9284, 910, 510, 7332, 1694, 38101, 299, 33254, 24599, 44132, 18, 510, 817, 1514, 5416, 4263, 3670, 16, 374, 3957, 13541, 3666, 18, 2877, 3216, 395, 5290, 687, 21377, 290, 7802, 399, 423, 18, 385, 3212, 4947, 4611, 16, 656, 34564, 15477, 16504, 434, 39207, 282, 2968, 18, 14427, 9680, 7342, 45965, 45829, 29111, 13843, 17029, 505, 3348, 411, 3437, 22912, 12525, 9526, 4966, 16, 18122, 281, 49392, 289, 457, 512, 611, 304, 861, 5649, 2440, 778, 478, 48334, 21186, 910, 13788, 45808, 282, 44542, 6190, 43535, 1919, 3895, 520, 322, 3610, 17, 45900, 539, 30057, 9536, 16, 895, 13739, 478, 16846, 482, 470, 3610, 9, 835, 309, 5514, 5084, 24900, 837, 4966, 25302, 4231, 324, 1467, 291, 375, 405 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 294, 3200, 291, 17, 25747, 1447, 523, 282, 3846, 16, 3387, 1279, 294, 3200, 291, 31519, 5738, 20109, 434, 16964, 266, 427, 16, 3168, 11581, 282, 327, 24236, 1165, 4655, 508, 16, 16535, 25227, 36411, 294, 2865, 289, 40482, 18, 459, 16, 2862, 16, 7853, 1380, 1373, 7012, 322, 20115, 18, 459, 481, 322, 8970, 6529, 17, 6845, 14988, 281, 5155, 9364, 282, 10833, 1616, 18, 4149, 3257, 20351, 2979, 16, 349, 1754, 9160, 525, 7902, 18, 996, 575, 7770, 7157, 315, 21109, 478, 33522, 309, 13612, 472, 1497, 368, 910, 988, 16177, 12057, 39195, 871, 16, 961, 381, 803, 322, 7587, 5808, 16, 541, 26209, 1354, 2003, 22222, 1830, 373, 799, 307, 3209, 19802, 434, 17150, 521, 18, 3428, 4913, 18750, 18, 3428, 16619, 9349, 7194, 16, 30441, 806, 11817, 282, 25934, 464, 11798, 5036, 16, 360, 41646, 289, 47923, 617, 18, 39404, 3162, 1694, 281, 821, 21322, 1703, 3113, 315, 16, 282, 6588, 360, 9084, 18, 10989, 394, 3899, 1133, 34210, 1038, 12530, 22738, 30350, 27928, 16, 515, 16619, 622, 1056, 265, 2478, 39828, 10665, 773, 19756, 324, 18, 3557, 324, 26771, 413, 749, 47919, 1887, 18, 36025, 1280, 37726, 6007, 18, 459, 481, 373, 764, 478, 40345, 418, 910, 428, 5780, 24903, 34359, 23003, 16, 827, 373, 942, 639, 9607, 649, 6642, 6067, 289, 14372, 2009, 5546, 1489, 1280, 18, 740, 978, 1745, 2955, 16, 289, 37383, 5702, 14321, 2763, 454, 426, 507, 16, 5076, 3073, 16, 374, 827, 764, 2734, 424, 324, 1676, 16, 492, 49569, 3213, 2089, 20571, 272, 19990, 3910, 18, 478, 684, 3200, 276, 30, 18969, 276, 16, 23259, 16, 3232, 1340, 861, 3720, 10989, 394, 3899, 18, 421, 6060, 478, 684, 823, 8946, 910, 478, 43711, 45057, 17, 24178, 8392, 267, 910, 4479, 18, 2, 1, 87, 1456, 81, 2448, 30, 21837, 34544, 18164, 478, 28345, 470, 21587, 1035, 378, 1123, 931, 4654, 282, 23838, 1612, 1943, 23905, 294, 18308, 10347, 680, 11042, 436, 4642, 282, 22322, 1212, 478, 21037, 2274, 40595, 482, 910, 45829, 38101, 299, 3893, 16, 374, 768, 1083, 3076, 1789, 328, 665, 315, 12146, 282, 681, 1822, 1212, 478, 4580, 1138, 910, 478, 16846, 429, 470, 26579, 13135, 3299, 329, 478, 48334, 45054, 470, 3610, 9, 835, 309, 25302, 4231, 324, 1467, 291, 375, 405, 16, 367, 478, 780, 14604, 470, 8232, 17605, 16, 29671, 37792, 25817, 2479, 3763, 349, 43606, 1428, 278, 262, 18, 31224, 30, 6889, 2711, 489, 1510, 10552, 478, 26732, 888, 470, 32464, 478, 13467, 910, 8084, 16, 17182, 282, 8928, 763, 9536, 16, 6177, 33063, 10078, 17, 8216, 1116, 2003, 282, 5690, 5625, 18, 4530, 867, 2944, 726, 322, 2117, 1815, 349, 17252, 812, 7113, 17793, 18308, 10347, 778, 47487, 21587, 1035, 378, 1123, 931, 4654, 39440, 764, 445, 24924, 965, 282, 5271, 4966, 25734, 2776, 20801, 7006, 520, 5314, 484, 18, 9711, 2410, 1269, 282, 5271, 478, 28345, 470, 27366, 2477, 16, 367, 1548, 6281, 282, 4907, 2662, 1747, 26062, 20169, 1822, 9783, 324, 512, 670, 4210, 3873, 357, 22689, 18, 640, 378, 1123, 931, 397, 272, 575, 2944, 726, 9560, 2941, 22322, 778, 478, 21037, 2274, 40227, 910, 6548, 9680, 2024, 10467, 10399, 324, 23530, 1623, 6097, 8941, 2409, 18308, 10347, 933, 32462, 18, 365, 5271, 478, 301, 11415, 470, 726, 23054, 14187, 616, 688, 350, 1528, 343, 16, 2255, 405, 403, 616, 40981, 289, 13681, 22114, 41819, 18, 1665, 367, 1965, 5548, 10399, 324, 23530, 3424, 12947, 290, 378, 1123, 931, 16460, 18, 478, 35172, 16, 1965, 2493, 656, 15028, 2529, 764, 2236, 18308, 36291, 18, 889, 840, 774, 34544, 21587, 1035, 378, 1123, 931, 4654, 18, 11324, 16, 36273, 9934, 16, 289, 481, 840, 939, 1904, 541, 2759, 4966, 910, 510, 7332, 1694, 10399, 324, 293, 513, 33525, 532, 11378, 48080, 494, 3517, 18, 640, 566, 742, 478, 28345, 470, 16095, 2776, 12285, 282, 11526, 1555, 7337, 2815, 16, 374, 478, 21037, 2274, 40227, 470, 519, 4319, 1326, 322, 29403, 282, 3216, 281, 22573, 23579, 334, 4193, 272, 19671, 521, 18, 2046, 827, 2900, 8369, 10078, 17, 46796, 764, 322, 20310, 16, 502, 9956, 334, 12651, 3163, 10399, 324, 293, 513, 19763, 505, 1965, 2493, 18, 365, 803, 1750, 21587, 1035, 282, 478, 21037, 2274, 40595, 482, 470, 1127, 3008, 6583, 1463, 281, 5987, 8676, 4104, 623, 6235, 1624, 1029, 16, 294, 15695, 16, 529, 43535, 668, 16129, 12715, 939, 10660, 18, 1735, 687, 478, 13467, 470, 282, 803, 1750, 8633, 749, 7095, 434, 45229, 282, 5503, 41319, 18308, 36291, 18, 439, 7736, 2151, 486, 17793, 18, 1397, 575, 519, 478, 21037, 2274, 40595, 429, 910, 3216, 282, 23838, 1612, 895, 23113, 19782, 18, 985, 3110, 33254, 24599, 44132, 1624, 27713, 7586, 860, 39982, 478, 27296, 17, 15900, 8426, 382, 288, 470, 48596, 289, 37344, 273, 1034, 4325, 268, 296, 987, 36343, 1698, 5529, 478, 301, 11415, 470, 329, 697, 20420, 48465, 10167, 25618, 7900, 18, 1178, 32656, 5071, 4276, 478, 49431, 864, 379, 470, 5675, 306, 17524, 313, 34569, 10480, 46199, 289, 13673, 9118, 24900, 837, 4966, 768, 1083, 7286, 1789, 328, 665, 315, 16, 502, 505, 6357, 334, 7342, 45965, 45829, 38101, 299, 1624, 5175, 16, 282, 11069, 924, 16, 828, 20388, 3350, 768, 1083, 7286, 18, 996, 38101, 299, 17684, 6751, 879, 473, 1369, 505, 4734, 13, 4193, 1789, 328, 665, 315, 282, 681, 1822, 778, 478, 9284, 910, 988, 10398, 38101, 299, 23054, 1038, 40524, 1520, 873, 14901, 842, 41378, 5888, 1624, 768, 1083, 3076, 6258, 34648, 289, 625, 843, 6838, 5871, 296, 1042, 42235, 18, 478, 4348, 475, 13392, 16, 374, 1789, 328, 665, 315, 2493, 18075, 997, 294, 1299, 282, 478, 9284, 910, 510, 7332, 1694, 38101, 299, 33254, 24599, 44132, 18, 510, 817, 1514, 5416, 4263, 3670, 16, 374, 3957, 13541, 3666, 18, 2877, 3216, 395, 5290, 687, 21377, 290, 7802, 399, 423, 18, 385, 3212, 4947, 4611, 16, 656, 34564, 15477, 16504, 434, 39207, 282, 2968, 18, 14427, 9680, 7342, 45965, 45829, 29111, 13843, 17029, 505, 3348, 411, 3437, 22912, 12525, 9526, 4966, 16, 18122, 281, 49392, 289, 457, 512, 611, 304, 861, 5649, 2440, 778, 478, 48334, 21186, 910, 13788, 45808, 282, 44542, 6190, 43535, 1919, 3895, 520, 322, 3610, 17, 45900, 539, 30057, 9536, 16, 895, 13739, 478, 16846, 482, 470, 3610, 9, 835, 309, 5514, 5084, 24900, 837, 4966, 25302, 4231, 324, 1467, 291, 375, 405 ]
[ 18, 985, 3110, 25837, 14677, 1831, 1624, 1053, 482, 18301, 873, 726, 20353, 294, 478, 296, 1042, 3054, 913, 312, 470, 281, 22573, 23579, 18, 967, 803, 24026, 5421, 9518, 24905, 282, 478, 16846, 482, 470, 309, 19078, 21075, 18, 967, 19430, 567, 2904, 20432, 478, 48334, 552, 3032, 470, 14816, 6755, 31793, 404, 507, 289, 34973, 282, 5649, 2440, 309, 19078, 21075, 7651, 913, 3873, 1035, 16, 1467, 291, 375, 405, 7006, 520, 21162, 1756, 309, 4577, 18, 5043, 16, 282, 1750, 505, 29194, 411, 7586, 16, 3655, 38331, 478, 419, 932, 37123, 4607, 470, 3183, 578, 675, 29942, 682, 1633, 289, 3655, 4770, 4966, 38912, 439, 1068, 10573, 21573, 467, 1833, 575, 24915, 874, 1423, 26022, 2496, 25467, 16, 961, 1467, 291, 375, 405, 4345, 428, 16865, 29942, 672, 278, 1960, 322, 12177, 18, 677, 5017, 11290, 11258, 37398, 2693, 846, 7524, 16, 367, 785, 24098, 310, 16, 502, 453, 289, 322, 3619, 39440, 24924, 965, 18, 478, 618, 496, 536, 22183, 8464, 910, 428, 49557, 36766, 42215, 411, 17, 431, 5988, 624, 281, 21407, 3250, 28383, 26914, 429, 16, 282, 5017, 11290, 11258, 37177, 33803, 778, 478, 22262, 470, 1624, 367, 49421, 17722, 25302, 4231, 324, 1467, 2774, 1994, 1035, 510, 32464, 14118, 18, 1178, 329, 478, 4298, 546, 470, 912, 37598, 3895, 520, 322, 309, 1209, 12525, 16707, 16, 502, 478, 780, 14604, 470, 322, 895, 11033, 360, 43606, 1428, 278, 262, 16, 2470, 2989, 939, 289, 939, 16989, 448, 2764, 18, 985, 3110, 25837, 14677, 1831, 1624, 478, 18573, 913, 312, 470, 6354, 13739, 36766, 349, 14560, 2257, 25817, 2479, 3763, 16, 282, 502, 808, 428, 18723, 4381, 309, 1047, 478, 1182, 332, 503, 361, 470, 289, 478, 1098, 397, 17, 43469, 47782, 6002, 440, 470, 322, 6354, 37792, 23171, 7512, 18, 5043, 16, 808, 541, 4281, 329, 23904, 764, 912, 18, 6019, 7179, 289, 12672, 18569, 942, 4897, 309, 7759, 33450, 6190, 43535, 1042, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 13324, 1032, 4120, 1293, 2634, 46602, 21038, 6886, 334, 7323, 2818, 48845, 478, 10520, 1703, 1664, 2529, 470, 651, 17802, 309, 505, 11506, 13875, 1817, 835, 770, 19053, 289, 7257, 18, 439, 282, 5017, 7927, 11084, 282, 3580, 6382, 29710, 5988, 478, 15309, 1555, 1332, 1190, 24450, 1011, 2024, 22051, 42200, 48448, 18, 30258, 44872, 3417, 1135, 18, 31224, 30, 677, 10666, 31959, 635, 4396, 478, 10520, 718, 1664, 669, 470, 282, 5579, 17, 13825, 14212, 282, 8454, 11267, 17802, 309, 11506, 16094, 8296, 1032, 4120, 18, 1367, 803, 478, 46088, 18, 8381, 470, 3828, 17503, 378, 408, 4659, 512, 16, 9216, 3320, 478, 33573, 1924, 7340, 548, 910, 3203, 31959, 635, 3718, 18, 7824, 28086, 21038, 6886, 36958, 7481, 416, 334, 22824, 2001, 18, 478, 1295, 525, 18739, 906, 424, 2334, 1800, 16, 282, 1420, 23362, 3400, 6367, 519, 4256, 2634, 1135, 16, 651, 4848, 378, 408, 4659, 512, 18, 651, 1345, 41673, 3191, 329, 504, 684, 1295, 478, 21286, 16107, 778, 470, 282, 2418, 18, 646, 16, 5287, 17261, 334, 2151, 1798, 2818, 48845, 16, 7323, 2818, 16, 14936, 1161, 4625, 289, 7319, 2445, 309, 23633, 615, 33987, 16, 988, 282, 1760, 18, 646, 9934, 24118, 289, 12750, 18, 4406, 11811, 6779, 18466, 16, 492, 7312, 22801, 1387, 1147, 651, 334, 4625, 14915, 12012, 289, 519, 23633, 401, 29244, 861, 14427, 19167, 297, 8296, 651, 478, 10520, 1133, 1279, 18875, 2087, 861, 824, 3163, 378, 408, 19560, 342, 16, 282, 3178, 3437, 2868, 30111, 478, 10520, 718, 1664, 669, 470, 19763, 1078, 411, 8454, 10358, 18, 1178, 19516, 2539, 530, 18466, 16, 10172, 31959, 635, 3718, 1747, 10685, 7099, 3003, 18, 365, 21989, 2001, 478, 46088, 18, 8381, 470, 17245, 34991, 17802, 46602, 18, 23412, 8943, 1664, 669, 19341, 7190, 7824, 1398, 17, 19897, 5855, 4623, 16, 4623, 478, 34803, 3823, 910, 34459, 1724, 2457, 346, 17371, 478, 10520, 1133, 910, 34164, 22759, 718, 4202, 16, 3320, 478, 33573, 1924, 7340, 548, 910, 478, 46143, 1231, 680, 3402, 910, 478, 33573, 1809, 10600, 20141, 28349, 861, 19065, 16, 374, 282, 13324, 8849, 764, 1176, 31959, 635, 4396, 478, 10520, 718, 1664, 669, 861, 365, 1047, 11926, 1033, 13095, 1924, 3125, 28086, 16, 282, 970, 2875, 10733, 3359, 309, 17032, 349, 15734, 1066, 1279, 12655, 6363, 38293, 2611, 18, 4635, 1552, 468, 33803, 933, 46602, 309, 13095, 1901, 289, 3826, 1378, 13748, 294, 2222, 16, 374, 282, 6104, 1045, 2301, 835, 770, 25615, 309, 478, 34873, 5476, 470, 282, 7522, 18, 4320, 10480, 16, 1747, 520, 32246, 38293, 4811, 3091, 17639, 12479, 5476, 670, 6924, 273, 1578, 294, 18379, 22308, 18, 365, 10666, 575, 13143, 15514, 555, 16661, 2107, 8296, 46602, 16, 1541, 9314, 10552, 282, 5214, 2001, 18, 640, 2101, 1015, 304, 33987, 282, 2152, 547, 5988, 263, 424, 39765, 304, 478, 15309, 1555, 1332, 1190, 4271, 20146, 16, 334, 16323, 25036, 16, 360, 3417, 519, 6957, 1135, 18, 5452, 489, 8332, 17716, 22759, 1133, 15222, 607, 16, 7709, 488, 4110, 36591, 2257, 19167, 607, 16, 24782, 18350, 11719, 38293, 4811, 18, 1591, 808, 5988, 264, 639, 10570, 315, 1223, 7109, 1135, 18, 2046, 1011, 8296, 3125, 28086, 24200, 294, 9712, 3284, 825, 450, 418, 344, 18, 11824, 23018, 18708, 564, 651, 41056, 289, 17284, 14584, 4559, 18, 7699, 898, 4154, 1007, 18, 824, 3427, 745, 6641, 414, 309, 1512, 281, 1721, 1277, 1231, 680, 43705, 18, 608, 9712, 3284, 346, 450, 37832, 42903, 1135, 1156, 16, 1639, 1879, 1248, 1760, 16843, 2858, 13143, 18, 17504, 46602, 11638, 45234, 29536, 516, 39247, 281, 6885, 616, 2389, 282, 36117, 16774, 947, 7779, 304, 450, 418, 298, 16, 46767, 282, 1129, 12052, 289, 8168, 441, 700, 18, 7743, 26008, 6197, 6550, 6123, 30, 9936, 6181, 415, 7641, 682, 16, 349, 1690, 6951, 22764, 1762, 267, 7621, 668, 18, 3739, 1293, 5910, 10073, 14919, 48448, 329, 4447, 25533, 9743, 18, 7758, 13143, 44872, 2364, 594, 1135, 18, 478, 21286, 1412, 2123, 18, 3114, 329, 9712, 3284, 346, 450, 37832, 349, 12006, 50054, 639, 10570, 315, 7109, 1135, 16, 651, 5095, 26646, 282, 33803, 1212, 18617, 8231, 18, 651, 3739, 2852, 1135, 898, 28384, 282, 3948, 40401, 35164, 13986, 18, 16577, 1293, 1879, 17774, 10908, 3467, 29536, 516, 39247, 282, 3948, 16774, 947, 18746, 450, 37832, 16, 282, 3198, 1660, 282, 15913, 639, 4773, 3890, 2852, 1135, 18, 16539, 667, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18, 985, 3110, 25837, 14677, 1831, 1624, 1053, 482, 18301, 873, 726, 20353, 294, 478, 296, 1042, 3054, 913, 312, 470, 281, 22573, 23579, 18, 967, 803, 24026, 5421, 9518, 24905, 282, 478, 16846, 482, 470, 309, 19078, 21075, 18, 967, 19430, 567, 2904, 20432, 478, 48334, 552, 3032, 470, 14816, 6755, 31793, 404, 507, 289, 34973, 282, 5649, 2440, 309, 19078, 21075, 7651, 913, 3873, 1035, 16, 1467, 291, 375, 405, 7006, 520, 21162, 1756, 309, 4577, 18, 5043, 16, 282, 1750, 505, 29194, 411, 7586, 16, 3655, 38331, 478, 419, 932, 37123, 4607, 470, 3183, 578, 675, 29942, 682, 1633, 289, 3655, 4770, 4966, 38912, 439, 1068, 10573, 21573, 467, 1833, 575, 24915, 874, 1423, 26022, 2496, 25467, 16, 961, 1467, 291, 375, 405, 4345, 428, 16865, 29942, 672, 278, 1960, 322, 12177, 18, 677, 5017, 11290, 11258, 37398, 2693, 846, 7524, 16, 367, 785, 24098, 310, 16, 502, 453, 289, 322, 3619, 39440, 24924, 965, 18, 478, 618, 496, 536, 22183, 8464, 910, 428, 49557, 36766, 42215, 411, 17, 431, 5988, 624, 281, 21407, 3250, 28383, 26914, 429, 16, 282, 5017, 11290, 11258, 37177, 33803, 778, 478, 22262, 470, 1624, 367, 49421, 17722, 25302, 4231, 324, 1467, 2774, 1994, 1035, 510, 32464, 14118, 18, 1178, 329, 478, 4298, 546, 470, 912, 37598, 3895, 520, 322, 309, 1209, 12525, 16707, 16, 502, 478, 780, 14604, 470, 322, 895, 11033, 360, 43606, 1428, 278, 262, 16, 2470, 2989, 939, 289, 939, 16989, 448, 2764, 18, 985, 3110, 25837, 14677, 1831, 1624, 478, 18573, 913, 312, 470, 6354, 13739, 36766, 349, 14560, 2257, 25817, 2479, 3763, 16, 282, 502, 808, 428, 18723, 4381, 309, 1047, 478, 1182, 332, 503, 361, 470, 289, 478, 1098, 397, 17, 43469, 47782, 6002, 440, 470, 322, 6354, 37792, 23171, 7512, 18, 5043, 16, 808, 541, 4281, 329, 23904, 764, 912, 18, 6019, 7179, 289, 12672, 18569, 942, 4897, 309, 7759, 33450, 6190, 43535, 1042, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 13324, 1032, 4120, 1293, 2634, 46602, 21038, 6886, 334, 7323, 2818, 48845, 478, 10520, 1703, 1664, 2529, 470, 651, 17802, 309, 505, 11506, 13875, 1817, 835, 770, 19053, 289, 7257, 18, 439, 282, 5017, 7927, 11084, 282, 3580, 6382, 29710, 5988, 478, 15309, 1555, 1332, 1190, 24450, 1011, 2024, 22051, 42200, 48448, 18, 30258, 44872, 3417, 1135, 18, 31224, 30, 677, 10666, 31959, 635, 4396, 478, 10520, 718, 1664, 669, 470, 282, 5579, 17, 13825, 14212, 282, 8454, 11267, 17802, 309, 11506, 16094, 8296, 1032, 4120, 18, 1367, 803, 478, 46088, 18, 8381, 470, 3828, 17503, 378, 408, 4659, 512, 16, 9216, 3320, 478, 33573, 1924, 7340, 548, 910, 3203, 31959, 635, 3718, 18, 7824, 28086, 21038, 6886, 36958, 7481, 416, 334, 22824, 2001, 18, 478, 1295, 525, 18739, 906, 424, 2334, 1800, 16, 282, 1420, 23362, 3400, 6367, 519, 4256, 2634, 1135, 16, 651, 4848, 378, 408, 4659, 512, 18, 651, 1345, 41673, 3191, 329, 504, 684, 1295, 478, 21286, 16107, 778, 470, 282, 2418, 18, 646, 16, 5287, 17261, 334, 2151, 1798, 2818, 48845, 16, 7323, 2818, 16, 14936, 1161, 4625, 289, 7319, 2445, 309, 23633, 615, 33987, 16, 988, 282, 1760, 18, 646, 9934, 24118, 289, 12750, 18, 4406, 11811, 6779, 18466, 16, 492, 7312, 22801, 1387, 1147, 651, 334, 4625, 14915, 12012, 289, 519, 23633, 401, 29244, 861, 14427, 19167, 297, 8296, 651, 478, 10520, 1133, 1279, 18875, 2087, 861, 824, 3163, 378, 408, 19560, 342, 16, 282, 3178, 3437, 2868, 30111, 478, 10520, 718, 1664, 669, 470, 19763, 1078, 411, 8454, 10358, 18, 1178, 19516, 2539, 530, 18466, 16, 10172, 31959, 635, 3718, 1747, 10685, 7099, 3003, 18, 365, 21989, 2001, 478, 46088, 18, 8381, 470, 17245, 34991, 17802, 46602, 18, 23412, 8943, 1664, 669, 19341, 7190, 7824, 1398, 17, 19897, 5855, 4623, 16, 4623, 478, 34803, 3823, 910, 34459, 1724, 2457, 346, 17371, 478, 10520, 1133, 910, 34164, 22759, 718, 4202, 16, 3320, 478, 33573, 1924, 7340, 548, 910, 478, 46143, 1231, 680, 3402, 910, 478, 33573, 1809, 10600, 20141, 28349, 861, 19065, 16, 374, 282, 13324, 8849, 764, 1176, 31959, 635, 4396, 478, 10520, 718, 1664, 669, 861, 365, 1047, 11926, 1033, 13095, 1924, 3125, 28086, 16, 282, 970, 2875, 10733, 3359, 309, 17032, 349, 15734, 1066, 1279, 12655, 6363, 38293, 2611, 18, 4635, 1552, 468, 33803, 933, 46602, 309, 13095, 1901, 289, 3826, 1378, 13748, 294, 2222, 16, 374, 282, 6104, 1045, 2301, 835, 770, 25615, 309, 478, 34873, 5476, 470, 282, 7522, 18, 4320, 10480, 16, 1747, 520, 32246, 38293, 4811, 3091, 17639, 12479, 5476, 670, 6924, 273, 1578, 294, 18379, 22308, 18, 365, 10666, 575, 13143, 15514, 555, 16661, 2107, 8296, 46602, 16, 1541, 9314, 10552, 282, 5214, 2001, 18, 640, 2101, 1015, 304, 33987, 282, 2152, 547, 5988, 263, 424, 39765, 304, 478, 15309, 1555, 1332, 1190, 4271, 20146, 16, 334, 16323, 25036, 16, 360, 3417, 519, 6957, 1135, 18, 5452, 489, 8332, 17716, 22759, 1133, 15222, 607, 16, 7709, 488, 4110, 36591, 2257, 19167, 607, 16, 24782, 18350, 11719, 38293, 4811, 18, 1591, 808, 5988, 264, 639, 10570, 315, 1223, 7109, 1135, 18, 2046, 1011, 8296, 3125, 28086, 24200, 294, 9712, 3284, 825, 450, 418, 344, 18, 11824, 23018, 18708, 564, 651, 41056, 289, 17284, 14584, 4559, 18, 7699, 898, 4154, 1007, 18, 824, 3427, 745, 6641, 414, 309, 1512, 281, 1721, 1277, 1231, 680, 43705, 18, 608, 9712, 3284, 346, 450, 37832, 42903, 1135, 1156, 16, 1639, 1879, 1248, 1760, 16843, 2858, 13143, 18, 17504, 46602, 11638, 45234, 29536, 516, 39247, 281, 6885, 616, 2389, 282, 36117, 16774, 947, 7779, 304, 450, 418, 298, 16, 46767, 282, 1129, 12052, 289, 8168, 441, 700, 18, 7743, 26008, 6197, 6550, 6123, 30, 9936, 6181, 415, 7641, 682, 16, 349, 1690, 6951, 22764, 1762, 267, 7621, 668, 18, 3739, 1293, 5910, 10073, 14919, 48448, 329, 4447, 25533, 9743, 18, 7758, 13143, 44872, 2364, 594, 1135, 18, 478, 21286, 1412, 2123, 18, 3114, 329, 9712, 3284, 346, 450, 37832, 349, 12006, 50054, 639, 10570, 315, 7109, 1135, 16, 651, 5095, 26646, 282, 33803, 1212, 18617, 8231, 18, 651, 3739, 2852, 1135, 898, 28384, 282, 3948, 40401, 35164, 13986, 18, 16577, 1293, 1879, 17774, 10908, 3467, 29536, 516, 39247, 282, 3948, 16774, 947, 18746, 450, 37832, 16, 282, 3198, 1660, 282, 15913, 639, 4773, 3890, 2852, 1135, 18, 16539, 667, 18 ]
[ 3161, 282, 3948, 6394, 13615, 419, 542, 349, 12006, 11758, 7431, 31775, 639, 10570, 315, 1281, 1135, 18, 3739, 14691, 1631, 898, 28384, 5722, 3334, 2364, 7020, 9743, 478, 36898, 778, 1483, 15151, 861, 18561, 16, 374, 20197, 39092, 3929, 18708, 5681, 16, 371, 39472, 298, 329, 3725, 6371, 25661, 429, 6180, 17593, 1254, 16, 8168, 441, 700, 16, 32198, 16, 14748, 18, 365, 6233, 6881, 16, 374, 4498, 290, 37558, 1408, 322, 3419, 18, 365, 4599, 37852, 432, 46602, 19967, 10357, 8076, 381, 46559, 19690, 8191, 18, 25295, 432, 1552, 18966, 322, 639, 18, 4530, 867, 309, 9941, 8402, 355, 434, 35859, 289, 1870, 7647, 43581, 590, 16556, 282, 11084, 5475, 11257, 3555, 15173, 17, 11884, 6052, 26931, 680, 28177, 281, 4655, 13432, 3968, 979, 18, 985, 4848, 478, 46088, 18, 8381, 470, 7897, 282, 17329, 20043, 16, 3994, 1510, 651, 17642, 37753, 16, 492, 3619, 41622, 282, 49375, 289, 9724, 1269, 4829, 18, 457, 1005, 6371, 2364, 1939, 18, 646, 18, 5871, 320, 39018, 19140, 322, 5121, 18, 16577, 1272, 4177, 282, 31168, 25624, 3599, 773, 18, 30256, 538, 20716, 21538, 411, 3736, 346, 18473, 411, 37536, 11736, 18, 3551, 377, 645, 685, 282, 37217, 4349, 30, 2513, 3407, 22264, 315, 17, 37374, 2232, 29557, 16, 14440, 9209, 919, 25949, 9790, 18, 478, 30688, 1164, 470, 8418, 332, 505, 411, 10276, 416, 7428, 309, 44047, 24460, 680, 4625, 18, 365, 6233, 1055, 322, 1698, 2023, 16, 11864, 520, 11910, 289, 11949, 468, 281, 11815, 353, 46602, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3507, 20817, 2425, 307, 8262, 18, 824, 3761, 14160, 16, 4419, 1551, 10823, 289, 1541, 1779, 309, 43263, 282, 2835, 488, 436, 363, 49570, 14999, 4534, 6363, 1034, 1117, 2440, 11367, 16, 683, 283, 24236, 271, 289, 12860, 37284, 1728, 28135, 18, 640, 12243, 329, 1047, 906, 4930, 2773, 18910, 14571, 7876, 29368, 12055, 401, 18, 2667, 978, 3187, 2497, 29966, 1157, 309, 7266, 1949, 8560, 35085, 282, 41225, 1408, 2095, 16812, 3652, 18, 31224, 30, 563, 23345, 9165, 783, 334, 10570, 1433, 2425, 41256, 455, 7801, 282, 3765, 309, 12241, 309, 23000, 4534, 18, 985, 3828, 7897, 478, 32485, 18, 8381, 470, 282, 17329, 20043, 16, 492, 478, 18047, 4636, 928, 281, 474, 44416, 470, 282, 1360, 8303, 309, 4625, 10563, 405, 37979, 488, 413, 18, 824, 3761, 478, 29025, 507, 470, 1624, 282, 1500, 2083, 16, 785, 29966, 1157, 43448, 282, 8094, 35330, 16, 492, 9170, 34111, 8475, 18, 985, 10469, 12369, 14697, 17, 24145, 41160, 1262, 16, 478, 12195, 660, 470, 639, 4930, 3890, 411, 13251, 24336, 18, 3739, 3441, 478, 11415, 1066, 470, 1974, 281, 4778, 1181, 6390, 2902, 5681, 17456, 6447, 22805, 6371, 329, 35330, 282, 12504, 696, 4044, 18, 2949, 924, 16, 371, 1684, 2557, 639, 34855, 34451, 10076, 18, 3397, 2425, 307, 8262, 5695, 17187, 282, 16200, 8803, 29277, 12519, 18, 5351, 782, 4838, 7301, 2198, 1279, 1047, 334, 422, 18, 27839, 11828, 473, 10709, 662, 13, 14132, 1101, 10008, 8554, 33515, 7920, 334, 3507, 18, 365, 11925, 726, 15684, 3499, 5688, 5540, 30, 481, 6363, 1034, 1117, 2440, 16, 4419, 492, 11451, 685, 1551, 406, 473, 431, 2710, 8150, 510, 36560, 1055, 322, 4266, 814, 999, 1826, 3359, 726, 14403, 289, 282, 16765, 16, 289, 282, 970, 16, 374, 14664, 1423, 16634, 16, 18479, 36560, 18, 12725, 334, 4547, 16, 1034, 1117, 2440, 12983, 11910, 2654, 282, 1360, 8303, 18, 478, 630, 2314, 659, 4151, 492, 9848, 16, 374, 1011, 10076, 1728, 28135, 492, 683, 283, 24236, 271, 505, 3555, 16, 3888, 2095, 8731, 1642, 16, 6247, 2673, 24773, 334, 32379, 16, 4733, 18402, 2301, 4941, 523, 282, 15134, 910, 510, 1109, 7897, 478, 29025, 507, 861, 640, 7266, 7426, 1949, 8560, 29572, 8862, 381, 4094, 763, 6447, 876, 7923, 282, 25350, 41225, 1408, 2095, 16812, 3652, 18, 985, 33060, 1511, 14768, 624, 16, 7732, 3433, 1276, 343, 906, 26186, 491, 3598, 282, 3507, 17, 298, 582, 16, 282, 3948, 7626, 5002, 2561, 274, 18, 13528, 25068, 16, 374, 411, 3128, 1655, 387, 1388, 925, 529, 293, 9976, 263, 11643, 2038, 16, 367, 1488, 3598, 3716, 282, 970, 575, 2456, 2468, 906, 5920, 798, 44415, 8518, 38860, 749, 11141, 21966, 18, 1860, 7755, 309, 13156, 42416, 16, 374, 1551, 15508, 23481, 320, 13728, 46360, 16, 374, 28278, 35248, 4679, 16323, 5067, 30, 1176, 685, 7808, 2555, 4238, 16, 367, 2992, 510, 4652, 816, 3598, 18, 4541, 5683, 8495, 16, 374, 6396, 764, 1293, 2868, 282, 42062, 873, 268, 933, 14519, 5706, 906, 5920, 798, 764, 2197, 31395, 38860, 18, 985, 18700, 14697, 16, 678, 31110, 4419, 1551, 406, 825, 20292, 6603, 986, 16, 7808, 825, 4652, 282, 11500, 510, 12335, 978, 779, 16, 3012, 1166, 1511, 14768, 624, 18, 365, 3765, 309, 1912, 3598, 7190, 3187, 1941, 13587, 12002, 16, 374, 282, 3948, 10056, 918, 3573, 680, 23435, 5920, 798, 44415, 8518, 5903, 6052, 16, 31802, 4652, 349, 5284, 519, 978, 18, 2877, 3781, 17, 9952, 33515, 7920, 3110, 16, 374, 475, 4094, 1453, 35274, 35248, 6661, 6241, 16, 28479, 697, 4732, 281, 1032, 3598, 18, 30686, 1151, 16, 4322, 685, 7808, 491, 3598, 18, 640, 994, 2425, 41256, 455, 3225, 6863, 1011, 24492, 29224, 16, 5920, 1734, 1488, 3598, 282, 3948, 7626, 5002, 2561, 274, 18, 17645, 659, 1157, 29838, 3499, 31802, 30, 773, 4167, 14999, 4534, 12507, 12055, 291, 16, 3110, 3781, 17, 9952, 11925, 18, 19370, 29966, 1051, 11091, 1176, 411, 505, 13873, 16, 1029, 21924, 309, 43263, 282, 2835, 356, 512, 269, 30895, 289, 23335, 30895, 11329, 363, 409, 2244, 18, 4149, 289, 4167, 5688, 3359, 282, 3765, 309, 12241, 2425, 307, 8262, 18, 5454, 16, 9994, 1034, 1117, 3854, 639, 1143, 18, 3397, 36560, 3337, 4283, 14785, 622, 505, 294, 4310, 8150, 277, 18, 2, 1, 87, 1456, 81, 2448, 30, 33929, 778, 571, 25632, 451, 9778, 289, 45436, 10857, 26360, 2101, 45955, 8014, 300, 1650, 1887, 3322, 11241, 14582, 21880, 4761, 4350, 16, 282, 970, 2875, 44609, 17, 513, 4474, 289, 18524, 434, 1631, 1845, 23570, 2151, 16, 8619, 413, 7894, 1912, 4120, 282, 7353, 19779, 986, 18, 824, 505, 3163, 16, 37391, 17659, 434, 8121, 2438, 9402, 13125, 542, 5035, 35109, 34031, 12984, 2145, 18, 31224, 30, 33929, 778, 571, 25632, 451, 9778, 289, 45436, 10857, 26360, 2101, 45955, 8014, 300, 8121, 32290, 1015, 16, 15252 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3161, 282, 3948, 6394, 13615, 419, 542, 349, 12006, 11758, 7431, 31775, 639, 10570, 315, 1281, 1135, 18, 3739, 14691, 1631, 898, 28384, 5722, 3334, 2364, 7020, 9743, 478, 36898, 778, 1483, 15151, 861, 18561, 16, 374, 20197, 39092, 3929, 18708, 5681, 16, 371, 39472, 298, 329, 3725, 6371, 25661, 429, 6180, 17593, 1254, 16, 8168, 441, 700, 16, 32198, 16, 14748, 18, 365, 6233, 6881, 16, 374, 4498, 290, 37558, 1408, 322, 3419, 18, 365, 4599, 37852, 432, 46602, 19967, 10357, 8076, 381, 46559, 19690, 8191, 18, 25295, 432, 1552, 18966, 322, 639, 18, 4530, 867, 309, 9941, 8402, 355, 434, 35859, 289, 1870, 7647, 43581, 590, 16556, 282, 11084, 5475, 11257, 3555, 15173, 17, 11884, 6052, 26931, 680, 28177, 281, 4655, 13432, 3968, 979, 18, 985, 4848, 478, 46088, 18, 8381, 470, 7897, 282, 17329, 20043, 16, 3994, 1510, 651, 17642, 37753, 16, 492, 3619, 41622, 282, 49375, 289, 9724, 1269, 4829, 18, 457, 1005, 6371, 2364, 1939, 18, 646, 18, 5871, 320, 39018, 19140, 322, 5121, 18, 16577, 1272, 4177, 282, 31168, 25624, 3599, 773, 18, 30256, 538, 20716, 21538, 411, 3736, 346, 18473, 411, 37536, 11736, 18, 3551, 377, 645, 685, 282, 37217, 4349, 30, 2513, 3407, 22264, 315, 17, 37374, 2232, 29557, 16, 14440, 9209, 919, 25949, 9790, 18, 478, 30688, 1164, 470, 8418, 332, 505, 411, 10276, 416, 7428, 309, 44047, 24460, 680, 4625, 18, 365, 6233, 1055, 322, 1698, 2023, 16, 11864, 520, 11910, 289, 11949, 468, 281, 11815, 353, 46602, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3507, 20817, 2425, 307, 8262, 18, 824, 3761, 14160, 16, 4419, 1551, 10823, 289, 1541, 1779, 309, 43263, 282, 2835, 488, 436, 363, 49570, 14999, 4534, 6363, 1034, 1117, 2440, 11367, 16, 683, 283, 24236, 271, 289, 12860, 37284, 1728, 28135, 18, 640, 12243, 329, 1047, 906, 4930, 2773, 18910, 14571, 7876, 29368, 12055, 401, 18, 2667, 978, 3187, 2497, 29966, 1157, 309, 7266, 1949, 8560, 35085, 282, 41225, 1408, 2095, 16812, 3652, 18, 31224, 30, 563, 23345, 9165, 783, 334, 10570, 1433, 2425, 41256, 455, 7801, 282, 3765, 309, 12241, 309, 23000, 4534, 18, 985, 3828, 7897, 478, 32485, 18, 8381, 470, 282, 17329, 20043, 16, 492, 478, 18047, 4636, 928, 281, 474, 44416, 470, 282, 1360, 8303, 309, 4625, 10563, 405, 37979, 488, 413, 18, 824, 3761, 478, 29025, 507, 470, 1624, 282, 1500, 2083, 16, 785, 29966, 1157, 43448, 282, 8094, 35330, 16, 492, 9170, 34111, 8475, 18, 985, 10469, 12369, 14697, 17, 24145, 41160, 1262, 16, 478, 12195, 660, 470, 639, 4930, 3890, 411, 13251, 24336, 18, 3739, 3441, 478, 11415, 1066, 470, 1974, 281, 4778, 1181, 6390, 2902, 5681, 17456, 6447, 22805, 6371, 329, 35330, 282, 12504, 696, 4044, 18, 2949, 924, 16, 371, 1684, 2557, 639, 34855, 34451, 10076, 18, 3397, 2425, 307, 8262, 5695, 17187, 282, 16200, 8803, 29277, 12519, 18, 5351, 782, 4838, 7301, 2198, 1279, 1047, 334, 422, 18, 27839, 11828, 473, 10709, 662, 13, 14132, 1101, 10008, 8554, 33515, 7920, 334, 3507, 18, 365, 11925, 726, 15684, 3499, 5688, 5540, 30, 481, 6363, 1034, 1117, 2440, 16, 4419, 492, 11451, 685, 1551, 406, 473, 431, 2710, 8150, 510, 36560, 1055, 322, 4266, 814, 999, 1826, 3359, 726, 14403, 289, 282, 16765, 16, 289, 282, 970, 16, 374, 14664, 1423, 16634, 16, 18479, 36560, 18, 12725, 334, 4547, 16, 1034, 1117, 2440, 12983, 11910, 2654, 282, 1360, 8303, 18, 478, 630, 2314, 659, 4151, 492, 9848, 16, 374, 1011, 10076, 1728, 28135, 492, 683, 283, 24236, 271, 505, 3555, 16, 3888, 2095, 8731, 1642, 16, 6247, 2673, 24773, 334, 32379, 16, 4733, 18402, 2301, 4941, 523, 282, 15134, 910, 510, 1109, 7897, 478, 29025, 507, 861, 640, 7266, 7426, 1949, 8560, 29572, 8862, 381, 4094, 763, 6447, 876, 7923, 282, 25350, 41225, 1408, 2095, 16812, 3652, 18, 985, 33060, 1511, 14768, 624, 16, 7732, 3433, 1276, 343, 906, 26186, 491, 3598, 282, 3507, 17, 298, 582, 16, 282, 3948, 7626, 5002, 2561, 274, 18, 13528, 25068, 16, 374, 411, 3128, 1655, 387, 1388, 925, 529, 293, 9976, 263, 11643, 2038, 16, 367, 1488, 3598, 3716, 282, 970, 575, 2456, 2468, 906, 5920, 798, 44415, 8518, 38860, 749, 11141, 21966, 18, 1860, 7755, 309, 13156, 42416, 16, 374, 1551, 15508, 23481, 320, 13728, 46360, 16, 374, 28278, 35248, 4679, 16323, 5067, 30, 1176, 685, 7808, 2555, 4238, 16, 367, 2992, 510, 4652, 816, 3598, 18, 4541, 5683, 8495, 16, 374, 6396, 764, 1293, 2868, 282, 42062, 873, 268, 933, 14519, 5706, 906, 5920, 798, 764, 2197, 31395, 38860, 18, 985, 18700, 14697, 16, 678, 31110, 4419, 1551, 406, 825, 20292, 6603, 986, 16, 7808, 825, 4652, 282, 11500, 510, 12335, 978, 779, 16, 3012, 1166, 1511, 14768, 624, 18, 365, 3765, 309, 1912, 3598, 7190, 3187, 1941, 13587, 12002, 16, 374, 282, 3948, 10056, 918, 3573, 680, 23435, 5920, 798, 44415, 8518, 5903, 6052, 16, 31802, 4652, 349, 5284, 519, 978, 18, 2877, 3781, 17, 9952, 33515, 7920, 3110, 16, 374, 475, 4094, 1453, 35274, 35248, 6661, 6241, 16, 28479, 697, 4732, 281, 1032, 3598, 18, 30686, 1151, 16, 4322, 685, 7808, 491, 3598, 18, 640, 994, 2425, 41256, 455, 3225, 6863, 1011, 24492, 29224, 16, 5920, 1734, 1488, 3598, 282, 3948, 7626, 5002, 2561, 274, 18, 17645, 659, 1157, 29838, 3499, 31802, 30, 773, 4167, 14999, 4534, 12507, 12055, 291, 16, 3110, 3781, 17, 9952, 11925, 18, 19370, 29966, 1051, 11091, 1176, 411, 505, 13873, 16, 1029, 21924, 309, 43263, 282, 2835, 356, 512, 269, 30895, 289, 23335, 30895, 11329, 363, 409, 2244, 18, 4149, 289, 4167, 5688, 3359, 282, 3765, 309, 12241, 2425, 307, 8262, 18, 5454, 16, 9994, 1034, 1117, 3854, 639, 1143, 18, 3397, 36560, 3337, 4283, 14785, 622, 505, 294, 4310, 8150, 277, 18, 2, 1, 87, 1456, 81, 2448, 30, 33929, 778, 571, 25632, 451, 9778, 289, 45436, 10857, 26360, 2101, 45955, 8014, 300, 1650, 1887, 3322, 11241, 14582, 21880, 4761, 4350, 16, 282, 970, 2875, 44609, 17, 513, 4474, 289, 18524, 434, 1631, 1845, 23570, 2151, 16, 8619, 413, 7894, 1912, 4120, 282, 7353, 19779, 986, 18, 824, 505, 3163, 16, 37391, 17659, 434, 8121, 2438, 9402, 13125, 542, 5035, 35109, 34031, 12984, 2145, 18, 31224, 30, 33929, 778, 571, 25632, 451, 9778, 289, 45436, 10857, 26360, 2101, 45955, 8014, 300, 8121, 32290, 1015, 16, 15252 ]
[ 289, 11350, 17, 40000, 2241, 4761, 4350, 1845, 23570, 2151, 16, 8619, 413, 7894, 1912, 4120, 309, 27365, 17, 277, 1045, 1354, 18, 1367, 803, 3110, 39475, 1868, 43202, 18, 478, 1358, 322, 9191, 1329, 1279, 32290, 1015, 510, 417, 10817, 697, 808, 360, 1612, 16, 785, 685, 13472, 910, 510, 6463, 32290, 282, 3177, 26750, 18, 478, 780, 647, 22365, 6640, 1472, 282, 970, 16, 374, 32290, 1013, 4247, 5667, 1472, 282, 12100, 16, 367, 785, 694, 7058, 419, 1048, 16, 694, 4193, 8371, 294, 1033, 32677, 6866, 395, 16, 988, 1003, 6623, 368, 861, 2101, 1038, 35921, 45628, 32290, 1015, 282, 970, 16, 374, 411, 17, 431, 697, 18691, 432, 478, 9363, 891, 470, 25254, 19018, 2756, 19442, 416, 30, 478, 732, 3387, 282, 12903, 47360, 1033, 7640, 646, 14584, 4559, 16, 374, 6411, 16, 374, 1299, 1513, 1143, 5665, 3690, 16, 828, 329, 813, 912, 48433, 1512, 453, 16, 3888, 42684, 1749, 2458, 14682, 353, 16, 4279, 275, 5981, 396, 29739, 434, 2041, 10223, 2994, 872, 5044, 313, 21880, 4761, 4350, 65, 861, 2949, 924, 16, 32290, 9299, 16, 374, 37391, 1845, 23570, 2151, 687, 26943, 429, 17576, 8433, 19874, 16, 374, 282, 15614, 6031, 289, 13748, 294, 13125, 1433, 12984, 2145, 5035, 35109, 28565, 367, 30, 478, 1358, 3684, 16, 374, 481, 8084, 16, 374, 1574, 4770, 16, 428, 36176, 28565, 16, 757, 953, 9272, 687, 282, 3217, 4008, 16, 1586, 19127, 282, 502, 16, 374, 32290, 1013, 28791, 910, 510, 2815, 2101, 18, 8444, 969, 51, 59, 5, 42165, 16, 477, 13711, 5772, 1754, 15344, 30691, 2151, 1624, 5438, 309, 14267, 13279, 571, 3245, 16, 48431, 505, 8348, 478, 370, 17387, 5966, 861, 365, 3177, 14301, 7190, 2241, 48484, 1624, 374, 34210, 4761, 4350, 14888, 12879, 2666, 5502, 16864, 334, 4547, 8290, 30, 478, 630, 27518, 539, 3400, 1512, 1698, 25111, 16, 374, 30691, 2151, 12879, 364, 697, 6713, 16, 27689, 697, 2222, 16, 374, 2309, 322, 6640, 411, 478, 2851, 4064, 291, 910, 374, 329, 14582, 1698, 953, 1617, 20421, 289, 935, 18032, 33729, 1698, 9555, 1181, 6150, 282, 6151, 470, 498, 43884, 9916, 16, 7459, 4178, 289, 44329, 32290, 1015, 4761, 4350, 30691, 2151, 16342, 309, 27365, 17, 277, 1045, 1354, 5413, 1912, 4120, 510, 492, 685, 282, 1479, 14948, 4349, 37527, 282, 3441, 411, 2224, 742, 49344, 795, 16, 988, 14265, 5957, 18584, 4110, 505, 4913, 18, 2151, 1623, 1650, 5772, 3322, 11241, 21208, 21880, 4761, 4350, 16, 282, 970, 2875, 44609, 17, 513, 4474, 16, 17592, 343, 16, 1512, 459, 3646, 16, 18524, 434, 1631, 16, 457, 1891, 16, 421, 285, 1643, 289, 727, 3150, 20141, 3303, 382, 18, 47009, 2674, 451, 5184, 32290, 1015, 1038, 16480, 282, 15585, 9836, 42558, 282, 28489, 16, 5371, 3494, 334, 34689, 32290, 1015, 4761, 4350, 30, 478, 29579, 459, 3646, 470, 1624, 478, 24461, 17, 513, 1285, 470, 1624, 478, 18524, 451, 9215, 225, 910, 478, 16195, 5721, 303, 401, 225, 910, 478, 17592, 273, 26942, 289, 3333, 2393, 18, 365, 4101, 3142, 30691, 2151, 32963, 360, 4335, 18846, 510, 329, 1047, 685, 13034, 25661, 39591, 289, 3860, 477, 48785, 18, 365, 3998, 4145, 779, 9916, 3828, 290, 970, 16, 374, 9724, 2678, 6713, 289, 7695, 18, 365, 12500, 9798, 4830, 4761, 4350, 24214, 4110, 411, 17, 431, 1791, 281, 17171, 289, 5997, 15981, 38975, 282, 13335, 18, 13925, 14265, 6442, 16, 374, 5296, 6052, 48154, 16573, 18, 1303, 481, 1874, 34244, 4688, 309, 17721, 4079, 548, 2151, 30, 282, 3178, 7426, 23399, 986, 492, 34738, 1728, 14703, 15781, 32290, 1015, 385, 4489, 28007, 405, 289, 18743, 8880, 26125, 16, 281, 1754, 24434, 282, 26245, 1033, 10096, 31218, 18, 6592, 44113, 16, 3708, 16, 8619, 413, 12452, 282, 3198, 29647, 584, 20270, 16, 282, 2159, 808, 22632, 10227, 17653, 360, 14631, 411, 4761, 4350, 4731, 5717, 16, 9238, 275, 282, 10645, 505, 727, 3150, 20141, 3303, 382, 16, 4183, 334, 17, 11863, 27842, 5115, 2151, 18, 25765, 1650, 1887, 48762, 11241, 21208, 4761, 4350, 7150, 26899, 6406, 2309, 18, 5585, 842, 26060, 38416, 267, 16, 49302, 1510, 1833, 1949, 14582, 21880, 4761, 4350, 510, 44609, 17, 8422, 555, 411, 727, 3150, 20141, 3303, 382, 289, 20396, 10248, 23577, 510, 16, 16328, 6106, 16, 374, 1631, 16, 10049, 2151, 16, 1379, 2309, 1143, 322, 20263, 2002, 18, 2112, 46988, 290, 3422, 1650, 1887, 32290, 1015, 4761, 4350, 2438, 3665, 290, 970, 16, 374, 29745, 519, 45883, 2151, 18851, 4090, 27734, 18, 1367, 803, 10703, 6304, 13279, 8121, 6727, 2901, 18, 824, 722, 3163, 16, 2151, 282, 4722, 445, 5931, 1195, 28383, 349, 1293, 2868, 519, 1360, 3422, 18, 6727, 2901, 1038, 22812, 7102, 3499, 27734, 510, 9215, 17, 297, 521, 5562, 18, 967, 803, 5698, 874, 34246, 290, 16876, 3658, 891, 4576, 678, 322, 2756, 16, 4685, 14711, 1472, 16, 374, 35232, 2151, 282, 11184, 14439, 18, 478, 1358, 11638, 6125, 14439, 1974, 281, 1498, 2651, 1423, 1805, 18, 817, 14966, 2195, 437, 784, 18, 1345, 11157, 1195, 28742, 27734, 334, 3946, 9215, 17, 297, 521, 5562, 18, 9432, 1195, 1498, 764, 322, 48257, 16, 2686, 16, 309, 2218, 2193, 16, 492, 939, 20168, 910, 510, 424, 17809, 6727, 18, 26360, 2101, 510, 13205, 3448, 347, 293, 17, 635, 931, 289, 45436, 10857, 18, 11824, 505, 29236, 46139, 40453, 289, 26701, 23534, 18, 817, 1623, 11947, 34493, 5855, 4623, 2145, 1624, 282, 2630, 281, 828, 5906, 505, 24627, 291, 4459, 6225, 478, 298, 2731, 1310, 4287, 910, 282, 970, 2875, 289, 282, 4459, 13279, 15465, 5035, 35109, 34031, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3507, 12865, 7808, 309, 4837, 40888, 2533, 20295, 43394, 40621, 432, 15474, 12507, 8891, 44898, 18, 22400, 31802, 639, 34855, 281, 4005, 9164, 4655, 42463, 351, 2535, 18, 38431, 11540, 282, 3198, 11220, 424, 27578, 47648, 37010, 18, 31224, 30, 8706, 34489, 43394, 40621, 432, 15474, 12507, 8891, 44898, 685, 7808, 282, 8303, 23937, 1642, 309, 4625, 4015, 465, 2576, 718, 18, 2320, 3555, 639, 34855, 281, 4005, 9164, 1128, 2649, 17, 1636, 9471, 351, 2535, 282, 3765, 309, 2511, 3750, 309, 15934, 4534, 282, 3948, 9743, 478, 28833, 1136, 1701, 861, 3688, 468, 5121, 2146, 6832, 18, 21886, 16, 374, 41295, 4243, 309, 4837, 40888, 2533, 24186, 13118, 831, 16, 961, 282, 2083, 10076, 8926, 1642, 18, 824, 36880, 3781, 17, 14130, 24862, 41843, 3594 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 289, 11350, 17, 40000, 2241, 4761, 4350, 1845, 23570, 2151, 16, 8619, 413, 7894, 1912, 4120, 309, 27365, 17, 277, 1045, 1354, 18, 1367, 803, 3110, 39475, 1868, 43202, 18, 478, 1358, 322, 9191, 1329, 1279, 32290, 1015, 510, 417, 10817, 697, 808, 360, 1612, 16, 785, 685, 13472, 910, 510, 6463, 32290, 282, 3177, 26750, 18, 478, 780, 647, 22365, 6640, 1472, 282, 970, 16, 374, 32290, 1013, 4247, 5667, 1472, 282, 12100, 16, 367, 785, 694, 7058, 419, 1048, 16, 694, 4193, 8371, 294, 1033, 32677, 6866, 395, 16, 988, 1003, 6623, 368, 861, 2101, 1038, 35921, 45628, 32290, 1015, 282, 970, 16, 374, 411, 17, 431, 697, 18691, 432, 478, 9363, 891, 470, 25254, 19018, 2756, 19442, 416, 30, 478, 732, 3387, 282, 12903, 47360, 1033, 7640, 646, 14584, 4559, 16, 374, 6411, 16, 374, 1299, 1513, 1143, 5665, 3690, 16, 828, 329, 813, 912, 48433, 1512, 453, 16, 3888, 42684, 1749, 2458, 14682, 353, 16, 4279, 275, 5981, 396, 29739, 434, 2041, 10223, 2994, 872, 5044, 313, 21880, 4761, 4350, 65, 861, 2949, 924, 16, 32290, 9299, 16, 374, 37391, 1845, 23570, 2151, 687, 26943, 429, 17576, 8433, 19874, 16, 374, 282, 15614, 6031, 289, 13748, 294, 13125, 1433, 12984, 2145, 5035, 35109, 28565, 367, 30, 478, 1358, 3684, 16, 374, 481, 8084, 16, 374, 1574, 4770, 16, 428, 36176, 28565, 16, 757, 953, 9272, 687, 282, 3217, 4008, 16, 1586, 19127, 282, 502, 16, 374, 32290, 1013, 28791, 910, 510, 2815, 2101, 18, 8444, 969, 51, 59, 5, 42165, 16, 477, 13711, 5772, 1754, 15344, 30691, 2151, 1624, 5438, 309, 14267, 13279, 571, 3245, 16, 48431, 505, 8348, 478, 370, 17387, 5966, 861, 365, 3177, 14301, 7190, 2241, 48484, 1624, 374, 34210, 4761, 4350, 14888, 12879, 2666, 5502, 16864, 334, 4547, 8290, 30, 478, 630, 27518, 539, 3400, 1512, 1698, 25111, 16, 374, 30691, 2151, 12879, 364, 697, 6713, 16, 27689, 697, 2222, 16, 374, 2309, 322, 6640, 411, 478, 2851, 4064, 291, 910, 374, 329, 14582, 1698, 953, 1617, 20421, 289, 935, 18032, 33729, 1698, 9555, 1181, 6150, 282, 6151, 470, 498, 43884, 9916, 16, 7459, 4178, 289, 44329, 32290, 1015, 4761, 4350, 30691, 2151, 16342, 309, 27365, 17, 277, 1045, 1354, 5413, 1912, 4120, 510, 492, 685, 282, 1479, 14948, 4349, 37527, 282, 3441, 411, 2224, 742, 49344, 795, 16, 988, 14265, 5957, 18584, 4110, 505, 4913, 18, 2151, 1623, 1650, 5772, 3322, 11241, 21208, 21880, 4761, 4350, 16, 282, 970, 2875, 44609, 17, 513, 4474, 16, 17592, 343, 16, 1512, 459, 3646, 16, 18524, 434, 1631, 16, 457, 1891, 16, 421, 285, 1643, 289, 727, 3150, 20141, 3303, 382, 18, 47009, 2674, 451, 5184, 32290, 1015, 1038, 16480, 282, 15585, 9836, 42558, 282, 28489, 16, 5371, 3494, 334, 34689, 32290, 1015, 4761, 4350, 30, 478, 29579, 459, 3646, 470, 1624, 478, 24461, 17, 513, 1285, 470, 1624, 478, 18524, 451, 9215, 225, 910, 478, 16195, 5721, 303, 401, 225, 910, 478, 17592, 273, 26942, 289, 3333, 2393, 18, 365, 4101, 3142, 30691, 2151, 32963, 360, 4335, 18846, 510, 329, 1047, 685, 13034, 25661, 39591, 289, 3860, 477, 48785, 18, 365, 3998, 4145, 779, 9916, 3828, 290, 970, 16, 374, 9724, 2678, 6713, 289, 7695, 18, 365, 12500, 9798, 4830, 4761, 4350, 24214, 4110, 411, 17, 431, 1791, 281, 17171, 289, 5997, 15981, 38975, 282, 13335, 18, 13925, 14265, 6442, 16, 374, 5296, 6052, 48154, 16573, 18, 1303, 481, 1874, 34244, 4688, 309, 17721, 4079, 548, 2151, 30, 282, 3178, 7426, 23399, 986, 492, 34738, 1728, 14703, 15781, 32290, 1015, 385, 4489, 28007, 405, 289, 18743, 8880, 26125, 16, 281, 1754, 24434, 282, 26245, 1033, 10096, 31218, 18, 6592, 44113, 16, 3708, 16, 8619, 413, 12452, 282, 3198, 29647, 584, 20270, 16, 282, 2159, 808, 22632, 10227, 17653, 360, 14631, 411, 4761, 4350, 4731, 5717, 16, 9238, 275, 282, 10645, 505, 727, 3150, 20141, 3303, 382, 16, 4183, 334, 17, 11863, 27842, 5115, 2151, 18, 25765, 1650, 1887, 48762, 11241, 21208, 4761, 4350, 7150, 26899, 6406, 2309, 18, 5585, 842, 26060, 38416, 267, 16, 49302, 1510, 1833, 1949, 14582, 21880, 4761, 4350, 510, 44609, 17, 8422, 555, 411, 727, 3150, 20141, 3303, 382, 289, 20396, 10248, 23577, 510, 16, 16328, 6106, 16, 374, 1631, 16, 10049, 2151, 16, 1379, 2309, 1143, 322, 20263, 2002, 18, 2112, 46988, 290, 3422, 1650, 1887, 32290, 1015, 4761, 4350, 2438, 3665, 290, 970, 16, 374, 29745, 519, 45883, 2151, 18851, 4090, 27734, 18, 1367, 803, 10703, 6304, 13279, 8121, 6727, 2901, 18, 824, 722, 3163, 16, 2151, 282, 4722, 445, 5931, 1195, 28383, 349, 1293, 2868, 519, 1360, 3422, 18, 6727, 2901, 1038, 22812, 7102, 3499, 27734, 510, 9215, 17, 297, 521, 5562, 18, 967, 803, 5698, 874, 34246, 290, 16876, 3658, 891, 4576, 678, 322, 2756, 16, 4685, 14711, 1472, 16, 374, 35232, 2151, 282, 11184, 14439, 18, 478, 1358, 11638, 6125, 14439, 1974, 281, 1498, 2651, 1423, 1805, 18, 817, 14966, 2195, 437, 784, 18, 1345, 11157, 1195, 28742, 27734, 334, 3946, 9215, 17, 297, 521, 5562, 18, 9432, 1195, 1498, 764, 322, 48257, 16, 2686, 16, 309, 2218, 2193, 16, 492, 939, 20168, 910, 510, 424, 17809, 6727, 18, 26360, 2101, 510, 13205, 3448, 347, 293, 17, 635, 931, 289, 45436, 10857, 18, 11824, 505, 29236, 46139, 40453, 289, 26701, 23534, 18, 817, 1623, 11947, 34493, 5855, 4623, 2145, 1624, 282, 2630, 281, 828, 5906, 505, 24627, 291, 4459, 6225, 478, 298, 2731, 1310, 4287, 910, 282, 970, 2875, 289, 282, 4459, 13279, 15465, 5035, 35109, 34031, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 3507, 12865, 7808, 309, 4837, 40888, 2533, 20295, 43394, 40621, 432, 15474, 12507, 8891, 44898, 18, 22400, 31802, 639, 34855, 281, 4005, 9164, 4655, 42463, 351, 2535, 18, 38431, 11540, 282, 3198, 11220, 424, 27578, 47648, 37010, 18, 31224, 30, 8706, 34489, 43394, 40621, 432, 15474, 12507, 8891, 44898, 685, 7808, 282, 8303, 23937, 1642, 309, 4625, 4015, 465, 2576, 718, 18, 2320, 3555, 639, 34855, 281, 4005, 9164, 1128, 2649, 17, 1636, 9471, 351, 2535, 282, 3765, 309, 2511, 3750, 309, 15934, 4534, 282, 3948, 9743, 478, 28833, 1136, 1701, 861, 3688, 468, 5121, 2146, 6832, 18, 21886, 16, 374, 41295, 4243, 309, 4837, 40888, 2533, 24186, 13118, 831, 16, 961, 282, 2083, 10076, 8926, 1642, 18, 824, 36880, 3781, 17, 14130, 24862, 41843, 3594 ]
[ 33515, 7920, 334, 3507, 16, 11910, 639, 31044, 23052, 27470, 282, 505, 6905, 8303, 18, 8891, 44898, 289, 44789, 7280, 16438, 282, 32158, 11181, 360, 1642, 30979, 289, 5658, 14919, 7151, 49645, 281, 1039, 1682, 339, 11928, 7113, 28332, 18, 3918, 5858, 32285, 25810, 3162, 289, 40465, 9402, 11220, 18, 22400, 281, 23532, 3968, 639, 26171, 10092, 8891, 1970, 4254, 16, 1586, 567, 808, 1223, 13631, 11890, 282, 8303, 16, 515, 906, 282, 2107, 5555, 18, 2112, 32413, 16, 25935, 742, 2156, 21396, 281, 2223, 8150, 16, 515, 685, 20817, 31775, 18, 4429, 995, 837, 6371, 334, 28637, 39537, 4426, 1210, 9946, 282, 15347, 1657, 14958, 39018, 16, 2983, 3250, 282, 39788, 1642, 289, 21349, 426, 5583, 2083, 505, 8421, 411, 7428, 18, 45688, 26584, 282, 16765, 27470, 1623, 11750, 13097, 30903, 680, 1767, 10423, 779, 6067, 18, 25344, 7742, 22625, 9597, 36583, 16, 374, 583, 2146, 4797, 26058, 11540, 282, 3198, 47648, 37010, 9146, 6367, 11220, 16, 367, 8702, 27807, 10076, 12393, 364, 5666, 32566, 424, 2507, 18317, 451, 4655, 18, 459, 1627, 5688, 5540, 8811, 8231, 1055, 322, 18479, 18, 44881, 1510, 20295, 685, 7562, 13829, 282, 27431, 30000, 4534, 18, 12507, 8891, 44898, 48557, 1974, 477, 1360, 10092, 6670, 416, 16, 14369, 3223, 289, 697, 20603, 17252, 35997, 14049, 18, 20405, 16, 374, 282, 5975, 808, 23276, 11157, 309, 27573, 1822, 409, 289, 322, 6984, 19005, 15479, 22184, 18, 2263, 575, 7808, 879, 14106, 808, 7556, 11391, 43394, 40621, 758, 8621, 353, 16, 515, 282, 5975, 808, 1038, 33995, 2768, 1195, 6632, 6087, 508, 2389, 289, 1559, 34291, 1954, 3022, 758, 7601, 1082, 18, 985, 5923, 478, 24775, 778, 36069, 42674, 910, 8891, 44898, 5195, 20948, 294, 17992, 1147, 1039, 1682, 306, 11928, 7113, 28332, 16, 281, 828, 20369, 1977, 47127, 5590, 27470, 16, 4092, 3222, 975, 47234, 5790, 281, 28385, 7331, 15855, 18, 22642, 29886, 289, 282, 970, 16, 374, 282, 23731, 547, 4349, 722, 1292, 19575, 939, 34899, 526, 19360, 16, 367, 8774, 685, 8908, 8888, 649, 2616, 17, 299, 670, 6622, 39247, 18, 824, 3163, 20971, 16, 1912, 3750, 8891, 44898, 4223, 411, 1642, 334, 9942, 16, 367, 5264, 726, 282, 2241, 27915, 20543, 18, 2320, 17653, 8977, 3500, 4028, 309, 1756, 8150, 6233, 16, 374, 322, 5404, 18783, 3058, 7369, 346, 1631, 282, 914, 289, 906, 9013, 4093, 7086, 649, 9146, 16, 515, 16, 11727, 478, 375, 4659, 326, 14768, 622, 289, 2962, 539, 5296, 470, 20543, 16, 678, 18783, 6915, 5164, 289, 18087, 9146, 19654, 309, 11747, 18, 14078, 15726, 10956, 281, 9154, 282, 6555, 5052, 18, 23141, 8891, 1970, 4254, 1038, 14291, 16, 374, 5522, 19220, 360, 32764, 1251, 8761, 8309, 13574, 322, 639, 16, 2391, 49405, 2438, 541, 1710, 588, 9960, 18, 3557, 5547, 23039, 31802, 16170, 16, 374, 282, 914, 27470, 2669, 29065, 17801, 7369, 839, 8361, 18, 478, 3001, 1269, 289, 2669, 7305, 18, 365, 8303, 32732, 5230, 5258, 448, 2241, 18, 1303, 481, 6418, 4272, 910, 510, 6442, 23039, 8891, 1970, 4254, 478, 40125, 680, 21678, 225, 861, 985, 5923, 8818, 16, 334, 19983, 3496, 1016, 18966, 11969, 1743, 334, 327, 18, 430, 422, 18, 27839, 11828, 2407, 6166, 1140, 16103, 662, 11523, 4802, 2118, 20546, 2154, 381, 13125, 750, 7272, 32174, 282, 2100, 12519, 35330, 424, 29092, 18, 23302, 6233, 30885, 16, 785, 492, 10232, 282, 18925, 1790, 5296, 16, 753, 3604, 37563, 17187, 289, 12369, 28964, 8150, 18, 365, 4675, 808, 14968, 13391, 334, 6619, 10076, 8891, 1970, 4254, 16, 281, 5173, 4511, 2166, 3741, 15515, 18, 385, 9154, 27470, 16, 6859, 4220, 16996, 10076, 16, 7393, 8947, 18, 478, 2176, 4625, 4015, 465, 2576, 718, 282, 4542, 32269, 1039, 341, 746, 11928, 7113, 28332, 639, 31044, 11910, 6052, 16, 510, 8977, 14331, 3781, 17, 14130, 33515, 22348, 334, 10856, 3507, 19518, 29478, 1624, 510, 824, 19983, 13229, 18966, 11969, 1743, 334, 7705, 478, 1140, 16103, 662, 861, 365, 4675, 808, 28869, 1247, 381, 13125, 750, 7272, 32174, 861, 2, 1, 87, 1456, 81, 2448, 30, 1182, 2216, 18104, 42300, 549, 13518, 32170, 6034, 334, 13229, 40443, 2098, 2147, 2898, 309, 39258, 539, 26230, 18, 14187, 304, 662, 8493, 10317, 541, 25067, 15140, 282, 4599, 43065, 6271, 18, 403, 41955, 895, 7924, 5873, 12958, 37416, 18, 31224, 30, 471, 1358, 9763, 16, 374, 912, 4421, 1101, 16, 32703, 451, 910, 510, 2815, 5037, 20286, 42300, 416, 5119, 473, 1182, 9407, 13, 7550, 14013, 5030, 309, 2713, 7292, 771, 409, 282, 48619, 1624, 988, 16, 282, 4810, 16, 6268, 709, 4132, 4523, 6591, 2898, 309, 39258, 539, 26230, 18, 45235, 742, 13749, 16, 374, 478, 272, 9163, 8383, 366, 13895, 6106, 470, 473, 11838, 16, 28193, 44409, 289, 3569, 25258, 4735, 1886, 510, 478, 18386, 18, 8381, 12235, 2391, 41229, 3003, 290, 43279, 42300, 434, 1101, 44409, 11834, 282, 2343, 13420, 5576, 18, 824, 3163, 14013, 19869, 16, 42300, 549, 13518, 1055, 322, 3227, 8531, 8825, 4096, 289, 3957, 16, 753, 3003, 639, 478, 32278, 11789, 5770, 13059, 16, 453, 428, 505, 1513, 840, 34955, 282, 12564, 861, 415, 25784, 281, 17934, 10075, 3431, 304, 44409, 2742, 3111, 764, 282, 2343, 6705, 779, 30, 1655, 14013, 5030, 33420, 16, 374, 2241, 5009, 3467, 7572, 13429, 289, 5995, 411, 17, 431, 978, 4732, 4893, 14583, 18, 365, 8151, 4120, 4479, 16, 334, 3761, 10143, 25878, 416, 15137, 16, 2999, 269, 17934, 21055, 13429, 43523, 3405, 16, 6462, 2791, 16, 367, 282, 2343, 3972, 3436, 16, 14746, 10597, 18, 3397, 5995, 14888, 14583, 6853, 12311, 40169, 510, 2999, 269, 17934, 831, 16, 334, 3761, 421, 14437, 16, 2353, 4016, 16, 12695, 10597, 18, 450, 2265, 48888, 289, 2393, 9264, 13429, 16, 515, 2619, 4893, 30, 439, 732, 17, 16299, 281, 4120, 27375, 300, 281, 2706, 16, 12630, 10597, 349, 2999, 269, 519, 4055, 16, 8979, 10597, 349, 2999, 269, 18, 10110, 421, 14437, 10618, 1870, 454, 669, 4601, 1788, 309, 2098, 7125, 653, 21681, 2898, 309, 39258, 18, 478, 730, 389, 2016, 1494, 3014, 349, 41642, 16, 367, 653, 25544, 5995, 309, 39258, 20322, 26653, 40169, 16, 6353, 653, 7152, 525, 2393, 9264, 13429, 16, 510, 2548, 1870, 454, 669, 18, 510, 2101, 21376, 3050, 4388, 622, 44446, 11270, 17934, 2368, 4896, 1472, 816, 443, 24, 7418, 282, 502, 808, 428, 1500, 575, 15497, 334, 9953, 848, 2986, 2364, 1939, 9, 861, 824, 3761, 15832, 1602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33515, 7920, 334, 3507, 16, 11910, 639, 31044, 23052, 27470, 282, 505, 6905, 8303, 18, 8891, 44898, 289, 44789, 7280, 16438, 282, 32158, 11181, 360, 1642, 30979, 289, 5658, 14919, 7151, 49645, 281, 1039, 1682, 339, 11928, 7113, 28332, 18, 3918, 5858, 32285, 25810, 3162, 289, 40465, 9402, 11220, 18, 22400, 281, 23532, 3968, 639, 26171, 10092, 8891, 1970, 4254, 16, 1586, 567, 808, 1223, 13631, 11890, 282, 8303, 16, 515, 906, 282, 2107, 5555, 18, 2112, 32413, 16, 25935, 742, 2156, 21396, 281, 2223, 8150, 16, 515, 685, 20817, 31775, 18, 4429, 995, 837, 6371, 334, 28637, 39537, 4426, 1210, 9946, 282, 15347, 1657, 14958, 39018, 16, 2983, 3250, 282, 39788, 1642, 289, 21349, 426, 5583, 2083, 505, 8421, 411, 7428, 18, 45688, 26584, 282, 16765, 27470, 1623, 11750, 13097, 30903, 680, 1767, 10423, 779, 6067, 18, 25344, 7742, 22625, 9597, 36583, 16, 374, 583, 2146, 4797, 26058, 11540, 282, 3198, 47648, 37010, 9146, 6367, 11220, 16, 367, 8702, 27807, 10076, 12393, 364, 5666, 32566, 424, 2507, 18317, 451, 4655, 18, 459, 1627, 5688, 5540, 8811, 8231, 1055, 322, 18479, 18, 44881, 1510, 20295, 685, 7562, 13829, 282, 27431, 30000, 4534, 18, 12507, 8891, 44898, 48557, 1974, 477, 1360, 10092, 6670, 416, 16, 14369, 3223, 289, 697, 20603, 17252, 35997, 14049, 18, 20405, 16, 374, 282, 5975, 808, 23276, 11157, 309, 27573, 1822, 409, 289, 322, 6984, 19005, 15479, 22184, 18, 2263, 575, 7808, 879, 14106, 808, 7556, 11391, 43394, 40621, 758, 8621, 353, 16, 515, 282, 5975, 808, 1038, 33995, 2768, 1195, 6632, 6087, 508, 2389, 289, 1559, 34291, 1954, 3022, 758, 7601, 1082, 18, 985, 5923, 478, 24775, 778, 36069, 42674, 910, 8891, 44898, 5195, 20948, 294, 17992, 1147, 1039, 1682, 306, 11928, 7113, 28332, 16, 281, 828, 20369, 1977, 47127, 5590, 27470, 16, 4092, 3222, 975, 47234, 5790, 281, 28385, 7331, 15855, 18, 22642, 29886, 289, 282, 970, 16, 374, 282, 23731, 547, 4349, 722, 1292, 19575, 939, 34899, 526, 19360, 16, 367, 8774, 685, 8908, 8888, 649, 2616, 17, 299, 670, 6622, 39247, 18, 824, 3163, 20971, 16, 1912, 3750, 8891, 44898, 4223, 411, 1642, 334, 9942, 16, 367, 5264, 726, 282, 2241, 27915, 20543, 18, 2320, 17653, 8977, 3500, 4028, 309, 1756, 8150, 6233, 16, 374, 322, 5404, 18783, 3058, 7369, 346, 1631, 282, 914, 289, 906, 9013, 4093, 7086, 649, 9146, 16, 515, 16, 11727, 478, 375, 4659, 326, 14768, 622, 289, 2962, 539, 5296, 470, 20543, 16, 678, 18783, 6915, 5164, 289, 18087, 9146, 19654, 309, 11747, 18, 14078, 15726, 10956, 281, 9154, 282, 6555, 5052, 18, 23141, 8891, 1970, 4254, 1038, 14291, 16, 374, 5522, 19220, 360, 32764, 1251, 8761, 8309, 13574, 322, 639, 16, 2391, 49405, 2438, 541, 1710, 588, 9960, 18, 3557, 5547, 23039, 31802, 16170, 16, 374, 282, 914, 27470, 2669, 29065, 17801, 7369, 839, 8361, 18, 478, 3001, 1269, 289, 2669, 7305, 18, 365, 8303, 32732, 5230, 5258, 448, 2241, 18, 1303, 481, 6418, 4272, 910, 510, 6442, 23039, 8891, 1970, 4254, 478, 40125, 680, 21678, 225, 861, 985, 5923, 8818, 16, 334, 19983, 3496, 1016, 18966, 11969, 1743, 334, 327, 18, 430, 422, 18, 27839, 11828, 2407, 6166, 1140, 16103, 662, 11523, 4802, 2118, 20546, 2154, 381, 13125, 750, 7272, 32174, 282, 2100, 12519, 35330, 424, 29092, 18, 23302, 6233, 30885, 16, 785, 492, 10232, 282, 18925, 1790, 5296, 16, 753, 3604, 37563, 17187, 289, 12369, 28964, 8150, 18, 365, 4675, 808, 14968, 13391, 334, 6619, 10076, 8891, 1970, 4254, 16, 281, 5173, 4511, 2166, 3741, 15515, 18, 385, 9154, 27470, 16, 6859, 4220, 16996, 10076, 16, 7393, 8947, 18, 478, 2176, 4625, 4015, 465, 2576, 718, 282, 4542, 32269, 1039, 341, 746, 11928, 7113, 28332, 639, 31044, 11910, 6052, 16, 510, 8977, 14331, 3781, 17, 14130, 33515, 22348, 334, 10856, 3507, 19518, 29478, 1624, 510, 824, 19983, 13229, 18966, 11969, 1743, 334, 7705, 478, 1140, 16103, 662, 861, 365, 4675, 808, 28869, 1247, 381, 13125, 750, 7272, 32174, 861, 2, 1, 87, 1456, 81, 2448, 30, 1182, 2216, 18104, 42300, 549, 13518, 32170, 6034, 334, 13229, 40443, 2098, 2147, 2898, 309, 39258, 539, 26230, 18, 14187, 304, 662, 8493, 10317, 541, 25067, 15140, 282, 4599, 43065, 6271, 18, 403, 41955, 895, 7924, 5873, 12958, 37416, 18, 31224, 30, 471, 1358, 9763, 16, 374, 912, 4421, 1101, 16, 32703, 451, 910, 510, 2815, 5037, 20286, 42300, 416, 5119, 473, 1182, 9407, 13, 7550, 14013, 5030, 309, 2713, 7292, 771, 409, 282, 48619, 1624, 988, 16, 282, 4810, 16, 6268, 709, 4132, 4523, 6591, 2898, 309, 39258, 539, 26230, 18, 45235, 742, 13749, 16, 374, 478, 272, 9163, 8383, 366, 13895, 6106, 470, 473, 11838, 16, 28193, 44409, 289, 3569, 25258, 4735, 1886, 510, 478, 18386, 18, 8381, 12235, 2391, 41229, 3003, 290, 43279, 42300, 434, 1101, 44409, 11834, 282, 2343, 13420, 5576, 18, 824, 3163, 14013, 19869, 16, 42300, 549, 13518, 1055, 322, 3227, 8531, 8825, 4096, 289, 3957, 16, 753, 3003, 639, 478, 32278, 11789, 5770, 13059, 16, 453, 428, 505, 1513, 840, 34955, 282, 12564, 861, 415, 25784, 281, 17934, 10075, 3431, 304, 44409, 2742, 3111, 764, 282, 2343, 6705, 779, 30, 1655, 14013, 5030, 33420, 16, 374, 2241, 5009, 3467, 7572, 13429, 289, 5995, 411, 17, 431, 978, 4732, 4893, 14583, 18, 365, 8151, 4120, 4479, 16, 334, 3761, 10143, 25878, 416, 15137, 16, 2999, 269, 17934, 21055, 13429, 43523, 3405, 16, 6462, 2791, 16, 367, 282, 2343, 3972, 3436, 16, 14746, 10597, 18, 3397, 5995, 14888, 14583, 6853, 12311, 40169, 510, 2999, 269, 17934, 831, 16, 334, 3761, 421, 14437, 16, 2353, 4016, 16, 12695, 10597, 18, 450, 2265, 48888, 289, 2393, 9264, 13429, 16, 515, 2619, 4893, 30, 439, 732, 17, 16299, 281, 4120, 27375, 300, 281, 2706, 16, 12630, 10597, 349, 2999, 269, 519, 4055, 16, 8979, 10597, 349, 2999, 269, 18, 10110, 421, 14437, 10618, 1870, 454, 669, 4601, 1788, 309, 2098, 7125, 653, 21681, 2898, 309, 39258, 18, 478, 730, 389, 2016, 1494, 3014, 349, 41642, 16, 367, 653, 25544, 5995, 309, 39258, 20322, 26653, 40169, 16, 6353, 653, 7152, 525, 2393, 9264, 13429, 16, 510, 2548, 1870, 454, 669, 18, 510, 2101, 21376, 3050, 4388, 622, 44446, 11270, 17934, 2368, 4896, 1472, 816, 443, 24, 7418, 282, 502, 808, 428, 1500, 575, 15497, 334, 9953, 848, 2986, 2364, 1939, 9, 861, 824, 3761, 15832, 1602 ]
[ 17, 49235, 346, 5500, 478, 9865, 10475, 910, 281, 2742, 779, 653, 33901, 7072, 44400, 17934, 831, 18814, 309, 1533, 9, 473, 29172, 2636, 7072, 349, 2754, 392, 4039, 14953, 2791, 814, 8009, 4029, 8934, 439, 732, 17, 12555, 27375, 300, 1472, 309, 491, 7418, 519, 4055, 2239, 13944, 2791, 349, 2754, 392, 18, 28699, 1079, 1157, 13283, 16506, 30, 26192, 6591, 2898, 309, 39258, 510, 33820, 15042, 18, 478, 1182, 9407, 1494, 6949, 16, 374, 21767, 1063, 28316, 25878, 304, 12393, 341, 24681, 2610, 20818, 2596, 2898, 16, 515, 282, 11023, 309, 5579, 17, 9400, 680, 21767, 28784, 40619, 6295, 30, 7072, 37274, 17934, 831, 424, 19488, 12321, 519, 2555, 6130, 2791, 510, 481, 4519, 451, 27720, 16837, 16, 510, 25749, 282, 478, 27280, 684, 323, 426, 861, 510, 640, 3338, 49171, 13638, 549, 7072, 4652, 309, 6383, 2791, 4803, 861, 27695, 478, 27280, 684, 323, 332, 470, 35824, 6591, 2898, 281, 867, 16, 374, 282, 2343, 6705, 779, 309, 5814, 2031, 811, 25799, 478, 41818, 1672, 17934, 831, 470, 473, 488, 43238, 539, 26230, 16, 3482, 1687, 29395, 12237, 5447, 5355, 38650, 884, 16, 28475, 465, 2989, 360, 6601, 27802, 814, 478, 677, 28138, 20961, 3741, 1069, 377, 1999, 3888, 21188, 7043, 4732, 11531, 874, 39258, 16, 367, 3888, 935, 4144, 11968, 16, 281, 867, 753, 282, 9878, 1045, 13739, 26230, 15341, 910, 510, 4437, 10531, 282, 2241, 18, 510, 2949, 924, 16, 12262, 4981, 44400, 17934, 831, 322, 4360, 505, 29653, 282, 1110, 575, 4982, 1408, 16, 374, 289, 28785, 16, 374, 1038, 6280, 435, 1423, 4119, 282, 11184, 41177, 861, 1860, 3241, 427, 2241, 334, 5083, 592, 1569, 32324, 309, 39258, 898, 11916, 1007, 478, 27280, 684, 323, 1683, 470, 44409, 18, 478, 4348, 25684, 16, 374, 5750, 2636, 6295, 281, 45479, 309, 39258, 510, 33820, 15042, 289, 294, 2205, 404, 5510, 48154, 4164, 910, 510, 4266, 282, 2241, 18, 4320, 5995, 14888, 14583, 16, 289, 21486, 49633, 14697, 25156, 16, 374, 30985, 282, 803, 14852, 1157, 18, 21102, 26446, 6187, 22029, 346, 5500, 478, 9865, 10475, 470, 8973, 1845, 1020, 291, 35824, 6591, 8990, 44400, 17934, 831, 281, 478, 394, 315, 1941, 38305, 9381, 861, 478, 4925, 894, 979, 1335, 38305, 2087, 1623, 21767, 1063, 28316, 16, 367, 309, 21767, 281, 2742, 779, 22434, 6134, 37274, 17934, 831, 18814, 309, 1760, 7418, 510, 2548, 12189, 18, 510, 3397, 334, 39258, 1147, 3609, 326, 2594, 43977, 1812, 9864, 3887, 1545, 478, 394, 3305, 37108, 910, 502, 912, 43065, 6271, 861, 26468, 14968, 16, 20374, 345, 928, 12189, 18, 478, 33716, 3426, 572, 2259, 10691, 15088, 12778, 16, 510, 41988, 1845, 1020, 291, 18, 510, 28699, 1079, 448, 2241, 31518, 26230, 15817, 17322, 266, 2509, 478, 660, 22423, 910, 289, 541, 18567, 7043, 13429, 5702, 2702, 46323, 3400, 861, 824, 4734, 1845, 1020, 401, 16, 6295, 281, 17934, 2368, 25190, 687, 1011, 23900, 44409, 18, 14187, 304, 662, 726, 1325, 6410, 2904, 309, 21767, 1936, 43833, 510, 289, 322, 687, 334, 39258, 1147, 3609, 326, 2594, 18, 478, 5786, 288, 1893, 15183, 21384, 626, 1815, 6591, 2898, 309, 26230, 309, 5781, 21767, 2596, 39020, 334, 7413, 281, 9240, 761, 17310, 2898, 910, 510, 4725, 14013, 5030, 16, 30634, 16, 374, 42300, 549, 13518, 17859, 294, 20286, 12895, 334, 43532, 2658, 1876, 473, 49959, 37416, 13, 281, 14503, 5848, 18071, 15878, 20813, 21767, 2596, 2898, 309, 24283, 12109, 548, 3960, 1175, 18, 478, 21393, 31823, 282, 20232, 2431, 16, 374, 475, 481, 9245, 281, 30265, 5613, 309, 5814, 289, 20232, 3021, 21528, 25058, 27932, 910, 510, 2815, 14013, 5030, 18, 2, 1, 87, 1456, 81, 2448, 30, 23441, 7356, 6940, 2273, 301, 360, 22026, 8204, 434, 11131, 651, 4843, 21, 16, 24, 5096, 411, 7622, 21040, 1450, 4843, 23, 16, 29, 5096, 18, 14069, 468, 4090, 2273, 669, 37030, 30338, 477, 2599, 11956, 1702, 9340, 16, 4266, 282, 4328, 476, 18, 14405, 5869, 510, 10246, 8632, 9180, 549, 708, 4026, 11646, 622, 14774, 7234, 18, 31224, 30, 677, 10882, 3695, 3972, 2438, 3665, 16, 374, 24754, 282, 4301, 4696, 15861, 3599, 37909, 17, 38178, 4341, 33752, 6483, 473, 55, 20989, 13, 7356, 2615, 2273, 301, 4676, 15861, 3599, 18, 1367, 803, 5130, 309, 3614, 22212, 8709, 2665, 18, 40228, 42406, 7431, 4843, 21, 16, 24, 5096, 18, 4756, 24754, 43183, 2418, 17, 22653, 4368, 9318, 8434, 7234, 2665, 282, 19145, 34818, 13245, 17, 8322, 282, 9802, 4843, 23, 16, 29, 5096, 18, 5850, 3050, 2301, 21478, 840, 6495, 506, 334, 8872, 46734, 19031, 13591, 35439, 7234, 2553, 16, 38950, 2172, 18820, 24754, 18, 1591, 808, 28145, 4199, 18820, 478, 960, 4165, 294, 5295, 954, 3003, 2665, 41868, 1519, 4957, 5768, 470, 334, 23787, 6566, 17827, 4473, 23070, 9212, 18942, 473, 41, 42, 42, 13, 282, 9802, 4843, 3420, 16, 25, 5096, 18, 4988, 2897, 6976, 282, 11500, 2604, 779, 16, 289, 678, 2879, 906, 3227, 20009, 282, 11500, 26155, 779, 18, 365, 4301, 1335, 4696, 3285, 1880, 7064, 726, 28841, 360, 24754, 2846, 2273, 669, 309, 16737, 7512, 4843, 28, 16, 27, 5096, 18, 12167, 411, 1129, 1061, 4238, 7847, 779, 510, 309, 7512, 4843, 21, 5096, 18, 365, 24754, 48484, 16, 374, 36638, 7938, 2665, 16, 424, 2588, 46109, 3674, 11131, 16, 478, 50168, 1387, 5559, 309, 2597, 34766, 16, 5575, 29829, 282, 4301, 11418, 1302, 42, 42, 861, 27750, 14735, 13245, 17, 8322, 4040, 478, 1446, 390, 3259, 34006, 470, 541, 12402, 6569, 12201, 11944, 282, 26155, 1045, 16, 34902, 42488, 289, 15861, 28674, 2553, 18, 967, 803, 1524, 6436, 2665, 21949, 309, 3177, 3614, 10621, 48169, 4872, 281, 24754, 381, 12402, 289, 15861, 12384, 282, 4301, 4676, 4696, 34818, 13245, 17, 8322, 541, 2665, 18, 421, 17858, 616, 2540, 9542, 11916, 468, 6569, 289, 16523, 16, 1639, 15069, 31948, 6980, 282, 11826, 17, 2932, 2932, 6206, 16, 367, 1038, 24173, 12182, 16, 9980, 541, 27842, 23410, 37025, 289, 7358, 14183, 2273, 1027, 23429, 18, 365, 4810, 16, 32427, 19602, 2665, 840, 4816, 31948, 6569, 5018, 2035, 8204, 434, 10301, 12541, 44690, 14481, 1409, 9, 281, 3972, 11826, 17, 361, 334, 31776, 26155, 779, 16, 367, 282, 25831, 1045, 510, 1061, 9, 4668, 19, 17, 430, 5999, 1787, 978, 1524, 6436, 1943, 27604, 391, 11014, 16575, 451, 289, 21788, 2234, 10940, 17788, 37599, 18, 3791, 6980, 840, 31948, 22075, 3577, 328, 1809, 38652, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17, 49235, 346, 5500, 478, 9865, 10475, 910, 281, 2742, 779, 653, 33901, 7072, 44400, 17934, 831, 18814, 309, 1533, 9, 473, 29172, 2636, 7072, 349, 2754, 392, 4039, 14953, 2791, 814, 8009, 4029, 8934, 439, 732, 17, 12555, 27375, 300, 1472, 309, 491, 7418, 519, 4055, 2239, 13944, 2791, 349, 2754, 392, 18, 28699, 1079, 1157, 13283, 16506, 30, 26192, 6591, 2898, 309, 39258, 510, 33820, 15042, 18, 478, 1182, 9407, 1494, 6949, 16, 374, 21767, 1063, 28316, 25878, 304, 12393, 341, 24681, 2610, 20818, 2596, 2898, 16, 515, 282, 11023, 309, 5579, 17, 9400, 680, 21767, 28784, 40619, 6295, 30, 7072, 37274, 17934, 831, 424, 19488, 12321, 519, 2555, 6130, 2791, 510, 481, 4519, 451, 27720, 16837, 16, 510, 25749, 282, 478, 27280, 684, 323, 426, 861, 510, 640, 3338, 49171, 13638, 549, 7072, 4652, 309, 6383, 2791, 4803, 861, 27695, 478, 27280, 684, 323, 332, 470, 35824, 6591, 2898, 281, 867, 16, 374, 282, 2343, 6705, 779, 309, 5814, 2031, 811, 25799, 478, 41818, 1672, 17934, 831, 470, 473, 488, 43238, 539, 26230, 16, 3482, 1687, 29395, 12237, 5447, 5355, 38650, 884, 16, 28475, 465, 2989, 360, 6601, 27802, 814, 478, 677, 28138, 20961, 3741, 1069, 377, 1999, 3888, 21188, 7043, 4732, 11531, 874, 39258, 16, 367, 3888, 935, 4144, 11968, 16, 281, 867, 753, 282, 9878, 1045, 13739, 26230, 15341, 910, 510, 4437, 10531, 282, 2241, 18, 510, 2949, 924, 16, 12262, 4981, 44400, 17934, 831, 322, 4360, 505, 29653, 282, 1110, 575, 4982, 1408, 16, 374, 289, 28785, 16, 374, 1038, 6280, 435, 1423, 4119, 282, 11184, 41177, 861, 1860, 3241, 427, 2241, 334, 5083, 592, 1569, 32324, 309, 39258, 898, 11916, 1007, 478, 27280, 684, 323, 1683, 470, 44409, 18, 478, 4348, 25684, 16, 374, 5750, 2636, 6295, 281, 45479, 309, 39258, 510, 33820, 15042, 289, 294, 2205, 404, 5510, 48154, 4164, 910, 510, 4266, 282, 2241, 18, 4320, 5995, 14888, 14583, 16, 289, 21486, 49633, 14697, 25156, 16, 374, 30985, 282, 803, 14852, 1157, 18, 21102, 26446, 6187, 22029, 346, 5500, 478, 9865, 10475, 470, 8973, 1845, 1020, 291, 35824, 6591, 8990, 44400, 17934, 831, 281, 478, 394, 315, 1941, 38305, 9381, 861, 478, 4925, 894, 979, 1335, 38305, 2087, 1623, 21767, 1063, 28316, 16, 367, 309, 21767, 281, 2742, 779, 22434, 6134, 37274, 17934, 831, 18814, 309, 1760, 7418, 510, 2548, 12189, 18, 510, 3397, 334, 39258, 1147, 3609, 326, 2594, 43977, 1812, 9864, 3887, 1545, 478, 394, 3305, 37108, 910, 502, 912, 43065, 6271, 861, 26468, 14968, 16, 20374, 345, 928, 12189, 18, 478, 33716, 3426, 572, 2259, 10691, 15088, 12778, 16, 510, 41988, 1845, 1020, 291, 18, 510, 28699, 1079, 448, 2241, 31518, 26230, 15817, 17322, 266, 2509, 478, 660, 22423, 910, 289, 541, 18567, 7043, 13429, 5702, 2702, 46323, 3400, 861, 824, 4734, 1845, 1020, 401, 16, 6295, 281, 17934, 2368, 25190, 687, 1011, 23900, 44409, 18, 14187, 304, 662, 726, 1325, 6410, 2904, 309, 21767, 1936, 43833, 510, 289, 322, 687, 334, 39258, 1147, 3609, 326, 2594, 18, 478, 5786, 288, 1893, 15183, 21384, 626, 1815, 6591, 2898, 309, 26230, 309, 5781, 21767, 2596, 39020, 334, 7413, 281, 9240, 761, 17310, 2898, 910, 510, 4725, 14013, 5030, 16, 30634, 16, 374, 42300, 549, 13518, 17859, 294, 20286, 12895, 334, 43532, 2658, 1876, 473, 49959, 37416, 13, 281, 14503, 5848, 18071, 15878, 20813, 21767, 2596, 2898, 309, 24283, 12109, 548, 3960, 1175, 18, 478, 21393, 31823, 282, 20232, 2431, 16, 374, 475, 481, 9245, 281, 30265, 5613, 309, 5814, 289, 20232, 3021, 21528, 25058, 27932, 910, 510, 2815, 14013, 5030, 18, 2, 1, 87, 1456, 81, 2448, 30, 23441, 7356, 6940, 2273, 301, 360, 22026, 8204, 434, 11131, 651, 4843, 21, 16, 24, 5096, 411, 7622, 21040, 1450, 4843, 23, 16, 29, 5096, 18, 14069, 468, 4090, 2273, 669, 37030, 30338, 477, 2599, 11956, 1702, 9340, 16, 4266, 282, 4328, 476, 18, 14405, 5869, 510, 10246, 8632, 9180, 549, 708, 4026, 11646, 622, 14774, 7234, 18, 31224, 30, 677, 10882, 3695, 3972, 2438, 3665, 16, 374, 24754, 282, 4301, 4696, 15861, 3599, 37909, 17, 38178, 4341, 33752, 6483, 473, 55, 20989, 13, 7356, 2615, 2273, 301, 4676, 15861, 3599, 18, 1367, 803, 5130, 309, 3614, 22212, 8709, 2665, 18, 40228, 42406, 7431, 4843, 21, 16, 24, 5096, 18, 4756, 24754, 43183, 2418, 17, 22653, 4368, 9318, 8434, 7234, 2665, 282, 19145, 34818, 13245, 17, 8322, 282, 9802, 4843, 23, 16, 29, 5096, 18, 5850, 3050, 2301, 21478, 840, 6495, 506, 334, 8872, 46734, 19031, 13591, 35439, 7234, 2553, 16, 38950, 2172, 18820, 24754, 18, 1591, 808, 28145, 4199, 18820, 478, 960, 4165, 294, 5295, 954, 3003, 2665, 41868, 1519, 4957, 5768, 470, 334, 23787, 6566, 17827, 4473, 23070, 9212, 18942, 473, 41, 42, 42, 13, 282, 9802, 4843, 3420, 16, 25, 5096, 18, 4988, 2897, 6976, 282, 11500, 2604, 779, 16, 289, 678, 2879, 906, 3227, 20009, 282, 11500, 26155, 779, 18, 365, 4301, 1335, 4696, 3285, 1880, 7064, 726, 28841, 360, 24754, 2846, 2273, 669, 309, 16737, 7512, 4843, 28, 16, 27, 5096, 18, 12167, 411, 1129, 1061, 4238, 7847, 779, 510, 309, 7512, 4843, 21, 5096, 18, 365, 24754, 48484, 16, 374, 36638, 7938, 2665, 16, 424, 2588, 46109, 3674, 11131, 16, 478, 50168, 1387, 5559, 309, 2597, 34766, 16, 5575, 29829, 282, 4301, 11418, 1302, 42, 42, 861, 27750, 14735, 13245, 17, 8322, 4040, 478, 1446, 390, 3259, 34006, 470, 541, 12402, 6569, 12201, 11944, 282, 26155, 1045, 16, 34902, 42488, 289, 15861, 28674, 2553, 18, 967, 803, 1524, 6436, 2665, 21949, 309, 3177, 3614, 10621, 48169, 4872, 281, 24754, 381, 12402, 289, 15861, 12384, 282, 4301, 4676, 4696, 34818, 13245, 17, 8322, 541, 2665, 18, 421, 17858, 616, 2540, 9542, 11916, 468, 6569, 289, 16523, 16, 1639, 15069, 31948, 6980, 282, 11826, 17, 2932, 2932, 6206, 16, 367, 1038, 24173, 12182, 16, 9980, 541, 27842, 23410, 37025, 289, 7358, 14183, 2273, 1027, 23429, 18, 365, 4810, 16, 32427, 19602, 2665, 840, 4816, 31948, 6569, 5018, 2035, 8204, 434, 10301, 12541, 44690, 14481, 1409, 9, 281, 3972, 11826, 17, 361, 334, 31776, 26155, 779, 16, 367, 282, 25831, 1045, 510, 1061, 9, 4668, 19, 17, 430, 5999, 1787, 978, 1524, 6436, 1943, 27604, 391, 11014, 16575, 451, 289, 21788, 2234, 10940, 17788, 37599, 18, 3791, 6980, 840, 31948, 22075, 3577, 328, 1809, 38652, 282 ]
[ 1028, 1208, 331, 1941, 22792, 16, 282, 4810, 16, 25799, 10059, 322, 1943, 6245, 3633, 491, 16, 25, 9, 282, 11826, 1045, 16, 491, 16, 4691, 9, 282, 26155, 1045, 18, 985, 29039, 282, 24754, 16, 6980, 840, 29048, 282, 4301, 4696, 28075, 6149, 309, 30149, 5535, 5337, 615, 17, 47044, 416, 6569, 6681, 2431, 20454, 15397, 16, 12588, 432, 25061, 292, 16, 30500, 309, 28609, 39163, 1607, 2168, 2340, 2682, 289, 36265, 18, 4756, 282, 11023, 2615, 9128, 8840, 17, 13077, 2781, 280, 1731, 24754, 16722, 41537, 2467, 3828, 16, 374, 2891, 2665, 8103, 4522, 925, 34902, 7122, 30739, 34931, 289, 24761, 6591, 371, 12278, 12672, 15948, 18, 478, 20710, 546, 20159, 3577, 328, 3050, 289, 3094, 3205, 17, 50070, 549, 11268, 289, 5018, 1270, 7544, 451, 5874, 18187, 2994, 684, 485, 2594, 65, 21398, 25799, 10059, 289, 12056, 17313, 41134, 12517, 910, 510, 4725, 41537, 2467, 18, 439, 4313, 1510, 23584, 282, 2463, 5743, 21012, 334, 36265, 289, 334, 8384, 281, 37612, 478, 3258, 1900, 14033, 26945, 289, 21137, 24008, 27488, 282, 5329, 861, 817, 11836, 309, 10064, 7446, 5738, 381, 46849, 1005, 15459, 12564, 16, 36265, 8334, 7882, 402, 960, 30984, 16, 30969, 9427, 6466, 10528, 289, 5743, 7800, 416, 17773, 18, 6592, 15442, 277, 16, 961, 6980, 8423, 309, 965, 282, 4301, 48169, 4872, 16, 519, 3598, 26155, 779, 282, 12140, 1510, 46849, 1005, 5862, 1551, 2125, 953, 3029, 4633, 322, 2619, 6603, 19142, 16, 367, 726, 519, 3915, 4189, 26155, 779, 1943, 953, 34807, 4901, 10823, 367, 26497, 22212, 46849, 1005, 5355, 16301, 18, 3791, 519, 3915, 3990, 26155, 779, 6980, 2879, 18894, 26119, 282, 24324, 282, 6491, 37731, 24228, 48788, 4076, 289, 7811, 281, 8527, 15273, 40558, 18, 3739, 24754, 28726, 1817, 8468, 16, 961, 2879, 11960, 6980, 282, 1767, 21666, 16, 45670, 608, 682, 682, 18, 985, 13462, 16, 7727, 1943, 18787, 37673, 309, 2303, 289, 42601, 282, 5118, 281, 5063, 3250, 10483, 635, 18, 7100, 16, 24754, 17602, 16, 753, 18351, 451, 4871, 334, 3232, 2439, 1640, 21542, 5055, 2780, 7243, 642, 1954, 726, 282, 11500, 26155, 779, 18, 7200, 44241, 24754, 11836, 309, 19435, 478, 22796, 4793, 26659, 16, 428, 18192, 16, 453, 289, 26621, 470, 541, 18533, 4696, 11131, 18, 824, 12189, 536, 25036, 16, 1176, 411, 10235, 16447, 510, 708, 4026, 11646, 622, 2553, 18, 4862, 282, 13673, 1272, 779, 10412, 6886, 12592, 28029, 334, 23892, 4103, 395, 18, 365, 26155, 17, 2932, 2932, 6206, 12917, 839, 8204, 448, 19134, 281, 1393, 9534, 2452, 530, 4843, 3420, 5096, 18, 1367, 803, 5130, 282, 31776, 1212, 38309, 290, 15861, 28674, 16, 1029, 19346, 29996, 7065, 2665, 473, 682, 11014, 814, 4794, 15811, 6353, 8210, 530, 30326, 10874, 18, 4756, 5037, 32427, 24634, 13158, 13730, 509, 3153, 16, 374, 282, 3178, 24083, 1949, 986, 4862, 10412, 36089, 334, 1087, 19317, 877, 2364, 4843, 2783, 5096, 16, 6895, 36846, 18, 4185, 6886, 1574, 12652, 451, 12592, 28029, 16, 4862, 4128, 4823, 3531, 20858, 16, 26136, 391, 11014, 18, 478, 684, 623, 29049, 9158, 309, 5421, 1205, 651, 428, 14033, 2702, 10931, 16, 753, 449, 23994, 31763, 26621, 289, 18192, 15442, 910, 510, 5130, 282, 33841, 22996, 1347, 18, 36844, 282, 4843, 3420, 5096, 28029, 3716, 31602, 6376, 7404, 43190, 4914, 1475, 467, 432, 40438, 2553, 16, 961, 309, 6398, 4120, 23018, 4843, 3420, 16, 27, 5096, 18, 439, 16, 827, 19486, 16, 374, 349, 2852, 986, 19134, 309, 1800, 4609, 3236, 282, 4843, 7536, 5096, 16, 502, 35994, 19034, 16, 10777, 4538, 16, 322, 32913, 9674, 18, 2, 1, 87, 1456, 81, 2448, 30, 11825, 27610, 290, 1948, 1212, 2303, 15184, 263, 282, 1614, 14137, 2839, 29134, 30, 334, 23449, 670, 334, 42564, 18, 3569, 25258, 6287, 2178, 38479, 22945, 5115, 18, 2046, 21173, 343, 14649, 334, 42147, 2410, 2913, 324, 411, 17, 431, 7773, 7256, 267, 1024, 333, 26374, 5791, 16, 367, 18437, 451, 3971, 13102, 16020, 26659, 16, 11419, 281, 26701, 45203, 282, 12654, 41647, 18, 6682, 36510, 2234, 3971, 23095, 2150, 20569, 510, 481, 8613, 1009, 18, 740, 1655, 478, 18306, 470, 895, 334, 10475, 1507, 478, 28828, 319, 861, 31224, 30, 25769, 25258, 25599, 6029, 21173, 382, 23899, 46782, 541, 20569, 282, 1614, 14137, 2839, 29134, 18, 1367, 803, 282, 9937, 2815, 8099, 21666, 3720, 3568, 333, 282, 4542, 12318, 44922, 282, 22350, 268, 35392, 1212, 40832, 877, 18, 478, 677, 3178, 5196, 895, 953, 40630, 7953, 549, 36638, 19024, 23899, 46782, 18, 3249, 953, 16, 282, 3178, 1949, 910, 510, 3828, 9805, 26363, 18, 7810, 8227, 20569, 16, 334, 3163, 3568, 3174, 16, 322, 6268, 887, 510, 475, 840, 24960, 360, 7234, 5115, 18, 967, 803, 3170, 2509, 7459, 16362, 20569, 7179, 8697, 282, 1614, 14137, 2839, 29134, 16, 334, 3163, 3568, 3174, 16, 5702, 29509, 451, 18, 478, 21117, 680, 6029, 2397, 2990, 309, 1805, 16, 827, 492, 840, 30718, 20630, 286, 910, 510, 9299, 8099, 18, 415, 21173, 582, 44257, 14649, 282, 1614, 14137, 2839, 29134, 1248, 9482, 12654, 30576, 10933, 2891, 40140, 764, 282, 4440, 1045, 18, 478, 18306, 470, 289, 22350, 268, 35392, 1162, 1802, 2335, 633, 935, 10469, 30028, 478, 27085, 668, 11422, 861, 15059, 1225, 862, 7955, 46782, 37587, 1330, 430, 16, 21, 4500, 18, 4017, 473, 1821, 3050, 16390, 510, 37091, 13, 289, 24512, 1533, 5096, 34184, 8697, 282, 1205, 18, 12726, 5115, 16, 334, 23810, 25036, 16, 2879, 906, 16122, 2364, 4843, 2479, 5096, 18, 2046, 1011, 3422, 18801, 40266, 7412, 282, 11023, 4440, 779, 9744, 7151, 412, 1838, 751, 18, 478, 630, 17229, 20569, 8697, 282, 1614, 14137, 2839, 29134, 1248, 9482, 30218, 9744, 282, 4101, 18116, 322, 31680, 16, 510, 4848, 478, 46088, 18, 8381, 470, 7897, 16, 29381, 294, 8933, 478, 18306, 861, 510, 1606, 11364, 1886, 687, 1011, 4075, 11065, 6528, 30, 3655, 5222, 30218, 18801, 40266, 49590, 268, 1943, 29954, 477, 2200, 46735, 294, 2856, 15922, 861, 415, 970, 16, 374, 31486, 895, 953, 28493, 798, 1248, 4993, 16, 309, 13519, 11056, 37465, 9805, 4770, 4137, 6732, 282, 4542, 38836, 48958, 11169, 18, 8859, 16, 827, 5245, 2303, 15184, 360, 46405, 16, 505, 37587, 622, 895, 9555, 6353, 3440, 510, 47569, 443, 29, 646, 4017, 18, 2046, 5826, 20138, 4247, 1617, 20421, 18, 999, 1037, 4990, 2068, 2610, 47089, 32226, 17461, 21666, 289, 6365, 4137, 17195, 39273, 12016, 16, 374, 7955, 8388 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1028, 1208, 331, 1941, 22792, 16, 282, 4810, 16, 25799, 10059, 322, 1943, 6245, 3633, 491, 16, 25, 9, 282, 11826, 1045, 16, 491, 16, 4691, 9, 282, 26155, 1045, 18, 985, 29039, 282, 24754, 16, 6980, 840, 29048, 282, 4301, 4696, 28075, 6149, 309, 30149, 5535, 5337, 615, 17, 47044, 416, 6569, 6681, 2431, 20454, 15397, 16, 12588, 432, 25061, 292, 16, 30500, 309, 28609, 39163, 1607, 2168, 2340, 2682, 289, 36265, 18, 4756, 282, 11023, 2615, 9128, 8840, 17, 13077, 2781, 280, 1731, 24754, 16722, 41537, 2467, 3828, 16, 374, 2891, 2665, 8103, 4522, 925, 34902, 7122, 30739, 34931, 289, 24761, 6591, 371, 12278, 12672, 15948, 18, 478, 20710, 546, 20159, 3577, 328, 3050, 289, 3094, 3205, 17, 50070, 549, 11268, 289, 5018, 1270, 7544, 451, 5874, 18187, 2994, 684, 485, 2594, 65, 21398, 25799, 10059, 289, 12056, 17313, 41134, 12517, 910, 510, 4725, 41537, 2467, 18, 439, 4313, 1510, 23584, 282, 2463, 5743, 21012, 334, 36265, 289, 334, 8384, 281, 37612, 478, 3258, 1900, 14033, 26945, 289, 21137, 24008, 27488, 282, 5329, 861, 817, 11836, 309, 10064, 7446, 5738, 381, 46849, 1005, 15459, 12564, 16, 36265, 8334, 7882, 402, 960, 30984, 16, 30969, 9427, 6466, 10528, 289, 5743, 7800, 416, 17773, 18, 6592, 15442, 277, 16, 961, 6980, 8423, 309, 965, 282, 4301, 48169, 4872, 16, 519, 3598, 26155, 779, 282, 12140, 1510, 46849, 1005, 5862, 1551, 2125, 953, 3029, 4633, 322, 2619, 6603, 19142, 16, 367, 726, 519, 3915, 4189, 26155, 779, 1943, 953, 34807, 4901, 10823, 367, 26497, 22212, 46849, 1005, 5355, 16301, 18, 3791, 519, 3915, 3990, 26155, 779, 6980, 2879, 18894, 26119, 282, 24324, 282, 6491, 37731, 24228, 48788, 4076, 289, 7811, 281, 8527, 15273, 40558, 18, 3739, 24754, 28726, 1817, 8468, 16, 961, 2879, 11960, 6980, 282, 1767, 21666, 16, 45670, 608, 682, 682, 18, 985, 13462, 16, 7727, 1943, 18787, 37673, 309, 2303, 289, 42601, 282, 5118, 281, 5063, 3250, 10483, 635, 18, 7100, 16, 24754, 17602, 16, 753, 18351, 451, 4871, 334, 3232, 2439, 1640, 21542, 5055, 2780, 7243, 642, 1954, 726, 282, 11500, 26155, 779, 18, 7200, 44241, 24754, 11836, 309, 19435, 478, 22796, 4793, 26659, 16, 428, 18192, 16, 453, 289, 26621, 470, 541, 18533, 4696, 11131, 18, 824, 12189, 536, 25036, 16, 1176, 411, 10235, 16447, 510, 708, 4026, 11646, 622, 2553, 18, 4862, 282, 13673, 1272, 779, 10412, 6886, 12592, 28029, 334, 23892, 4103, 395, 18, 365, 26155, 17, 2932, 2932, 6206, 12917, 839, 8204, 448, 19134, 281, 1393, 9534, 2452, 530, 4843, 3420, 5096, 18, 1367, 803, 5130, 282, 31776, 1212, 38309, 290, 15861, 28674, 16, 1029, 19346, 29996, 7065, 2665, 473, 682, 11014, 814, 4794, 15811, 6353, 8210, 530, 30326, 10874, 18, 4756, 5037, 32427, 24634, 13158, 13730, 509, 3153, 16, 374, 282, 3178, 24083, 1949, 986, 4862, 10412, 36089, 334, 1087, 19317, 877, 2364, 4843, 2783, 5096, 16, 6895, 36846, 18, 4185, 6886, 1574, 12652, 451, 12592, 28029, 16, 4862, 4128, 4823, 3531, 20858, 16, 26136, 391, 11014, 18, 478, 684, 623, 29049, 9158, 309, 5421, 1205, 651, 428, 14033, 2702, 10931, 16, 753, 449, 23994, 31763, 26621, 289, 18192, 15442, 910, 510, 5130, 282, 33841, 22996, 1347, 18, 36844, 282, 4843, 3420, 5096, 28029, 3716, 31602, 6376, 7404, 43190, 4914, 1475, 467, 432, 40438, 2553, 16, 961, 309, 6398, 4120, 23018, 4843, 3420, 16, 27, 5096, 18, 439, 16, 827, 19486, 16, 374, 349, 2852, 986, 19134, 309, 1800, 4609, 3236, 282, 4843, 7536, 5096, 16, 502, 35994, 19034, 16, 10777, 4538, 16, 322, 32913, 9674, 18, 2, 1, 87, 1456, 81, 2448, 30, 11825, 27610, 290, 1948, 1212, 2303, 15184, 263, 282, 1614, 14137, 2839, 29134, 30, 334, 23449, 670, 334, 42564, 18, 3569, 25258, 6287, 2178, 38479, 22945, 5115, 18, 2046, 21173, 343, 14649, 334, 42147, 2410, 2913, 324, 411, 17, 431, 7773, 7256, 267, 1024, 333, 26374, 5791, 16, 367, 18437, 451, 3971, 13102, 16020, 26659, 16, 11419, 281, 26701, 45203, 282, 12654, 41647, 18, 6682, 36510, 2234, 3971, 23095, 2150, 20569, 510, 481, 8613, 1009, 18, 740, 1655, 478, 18306, 470, 895, 334, 10475, 1507, 478, 28828, 319, 861, 31224, 30, 25769, 25258, 25599, 6029, 21173, 382, 23899, 46782, 541, 20569, 282, 1614, 14137, 2839, 29134, 18, 1367, 803, 282, 9937, 2815, 8099, 21666, 3720, 3568, 333, 282, 4542, 12318, 44922, 282, 22350, 268, 35392, 1212, 40832, 877, 18, 478, 677, 3178, 5196, 895, 953, 40630, 7953, 549, 36638, 19024, 23899, 46782, 18, 3249, 953, 16, 282, 3178, 1949, 910, 510, 3828, 9805, 26363, 18, 7810, 8227, 20569, 16, 334, 3163, 3568, 3174, 16, 322, 6268, 887, 510, 475, 840, 24960, 360, 7234, 5115, 18, 967, 803, 3170, 2509, 7459, 16362, 20569, 7179, 8697, 282, 1614, 14137, 2839, 29134, 16, 334, 3163, 3568, 3174, 16, 5702, 29509, 451, 18, 478, 21117, 680, 6029, 2397, 2990, 309, 1805, 16, 827, 492, 840, 30718, 20630, 286, 910, 510, 9299, 8099, 18, 415, 21173, 582, 44257, 14649, 282, 1614, 14137, 2839, 29134, 1248, 9482, 12654, 30576, 10933, 2891, 40140, 764, 282, 4440, 1045, 18, 478, 18306, 470, 289, 22350, 268, 35392, 1162, 1802, 2335, 633, 935, 10469, 30028, 478, 27085, 668, 11422, 861, 15059, 1225, 862, 7955, 46782, 37587, 1330, 430, 16, 21, 4500, 18, 4017, 473, 1821, 3050, 16390, 510, 37091, 13, 289, 24512, 1533, 5096, 34184, 8697, 282, 1205, 18, 12726, 5115, 16, 334, 23810, 25036, 16, 2879, 906, 16122, 2364, 4843, 2479, 5096, 18, 2046, 1011, 3422, 18801, 40266, 7412, 282, 11023, 4440, 779, 9744, 7151, 412, 1838, 751, 18, 478, 630, 17229, 20569, 8697, 282, 1614, 14137, 2839, 29134, 1248, 9482, 30218, 9744, 282, 4101, 18116, 322, 31680, 16, 510, 4848, 478, 46088, 18, 8381, 470, 7897, 16, 29381, 294, 8933, 478, 18306, 861, 510, 1606, 11364, 1886, 687, 1011, 4075, 11065, 6528, 30, 3655, 5222, 30218, 18801, 40266, 49590, 268, 1943, 29954, 477, 2200, 46735, 294, 2856, 15922, 861, 415, 970, 16, 374, 31486, 895, 953, 28493, 798, 1248, 4993, 16, 309, 13519, 11056, 37465, 9805, 4770, 4137, 6732, 282, 4542, 38836, 48958, 11169, 18, 8859, 16, 827, 5245, 2303, 15184, 360, 46405, 16, 505, 37587, 622, 895, 9555, 6353, 3440, 510, 47569, 443, 29, 646, 4017, 18, 2046, 5826, 20138, 4247, 1617, 20421, 18, 999, 1037, 4990, 2068, 2610, 47089, 32226, 17461, 21666, 289, 6365, 4137, 17195, 39273, 12016, 16, 374, 7955, 8388 ]
[ 434, 46782, 20142, 15341, 16, 828, 21173, 343, 334, 42564, 18, 478, 12856, 18437, 451, 6029, 34294, 266, 41702, 14482, 39369, 16, 49209, 281, 31354, 416, 6986, 761, 282, 30218, 910, 510, 10050, 12189, 18, 17195, 39273, 4725, 16, 374, 49024, 1602, 17, 34123, 262, 11624, 14508, 5549, 282, 5329, 289, 38367, 39483, 282, 4810, 3872, 6066, 5331, 29577, 16, 309, 1639, 17583, 9250, 10216, 16, 367, 14917, 16, 289, 12023, 5995, 309, 18496, 2248, 1947, 18, 8859, 282, 4698, 3678, 309, 2303, 16, 1029, 282, 2553, 439, 17316, 12800, 484, 282, 23545, 1957, 547, 2100, 473, 10852, 1009, 814, 49024, 1133, 29577, 23160, 6336, 5925, 16, 22434, 7072, 430, 37274, 8613, 1009, 1122, 20542, 4843, 23419, 16, 374, 6353, 15341, 16, 828, 282, 7044, 289, 2145, 18, 740, 3771, 16, 334, 3163, 17195, 286, 3340, 16, 45449, 1595, 23545, 16655, 2303, 282, 439, 17316, 16, 282, 970, 2875, 289, 41647, 16, 16219, 16, 453, 428, 41476, 5897, 887, 7109, 986, 2158, 289, 2644, 16685, 287, 5995, 282, 1129, 322, 898, 31163, 318, 18, 478, 677, 2630, 281, 2184, 1175, 6332, 31486, 282, 1614, 14137, 2839, 29134, 16, 510, 2548, 12189, 18, 510, 39766, 3168, 4633, 726, 3531, 41476, 281, 14311, 2898, 4697, 25237, 861, 49576, 12189, 8506, 46252, 412, 34980, 1051, 1175, 3883, 7309, 457, 8112, 512, 12016, 16, 374, 38367, 39483, 510, 2992, 282, 2968, 473, 27946, 10440, 13, 17401, 8613, 1009, 473, 899, 324, 708, 3426, 305, 1033, 2555, 3763, 7833, 16172, 814, 478, 19479, 10041, 16, 38367, 39483, 16768, 8140, 282, 24278, 440, 7167, 20569, 16, 2686, 8197, 29665, 334, 42147, 2955, 510, 2410, 43233, 7256, 267, 353, 3384, 11048, 16, 1003, 7045, 22289, 16, 374, 1542, 31486, 2693, 2178, 956, 2154, 16, 510, 49644, 457, 8112, 512, 18, 510, 27751, 36510, 2234, 309, 9837, 1119, 6029, 20569, 8697, 282, 1614, 14137, 2839, 29134, 510, 481, 475, 1500, 575, 8613, 1009, 861, 385, 2921, 1082, 23545, 23392, 8697, 13340, 41647, 9013, 4366, 478, 28828, 319, 861, 365, 4301, 12318, 44922, 19186, 3785, 9813, 1154, 2678, 20569, 23545, 23392, 8697, 281, 22350, 268, 35392, 3334, 1802, 2335, 633, 289, 715, 56, 60, 18, 608, 478, 49867, 470, 912, 8613, 1009, 17, 36741, 281, 13198, 8992, 92, 461, 49, 4166, 787, 18, 640, 20838, 300, 1153, 1943, 953, 19016, 4704, 24512, 1061, 3763, 7833, 18, 2046, 18836, 23545, 23392, 8697, 282, 1175, 322, 11417, 8898, 1999, 363, 16, 12233, 20072, 20569, 9298, 687, 478, 18306, 861, 5043, 16, 428, 4419, 33060, 5792, 477, 7755, 309, 13156, 16, 4871, 11417, 8898, 1640, 27441, 8613, 1009, 895, 953, 18566, 726, 282, 12354, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 11383, 16545, 44922, 2145, 309, 13367, 20871, 1087, 19317, 486, 1413, 576, 1472, 37649, 668, 8156, 44258, 18, 1598, 7207, 10242, 23271, 1698, 7005, 5790, 18034, 6365, 2044, 46509, 2899, 30, 48468, 8232, 36582, 3599, 16, 515, 1251, 16755, 8943, 1003, 14665, 18, 31224, 30, 677, 10666, 9805, 10575, 1742, 8275, 24595, 4898, 324, 1599, 2482, 18, 999, 5487, 11954, 4281, 24610, 421, 29731, 983, 7990, 309, 2239, 16, 8696, 9, 519, 1760, 10176, 12188, 16, 24610, 472, 15132, 38778, 309, 2239, 16, 8492, 9, 519, 2261, 7675, 12153, 18, 26482, 7307, 294, 3607, 344, 2145, 309, 26962, 5814, 7479, 289, 12076, 4843, 21, 16, 7536, 4691, 334, 7413, 281, 4843, 21, 16, 7536, 6568, 309, 2513, 2722, 7043, 282, 10882, 18, 16251, 309, 11460, 8934, 40999, 309, 22322, 680, 21767, 34534, 41, 1149, 1171, 7765, 41626, 309, 4843, 20, 16, 8976, 473, 20, 16, 6894, 18314, 510, 519, 4843, 50014, 16, 11672, 349, 26650, 18, 824, 8872, 4281, 282, 10882, 6134, 10960, 18814, 309, 4843, 20, 16, 11842, 473, 20, 16, 12630, 18314, 510, 519, 4843, 50014, 16, 14550, 349, 26650, 18, 18847, 675, 49024, 1602, 17, 34123, 262, 11624, 13104, 5791, 1038, 322, 4247, 7343, 42973, 18, 385, 833, 451, 24610, 5791, 31881, 39, 45, 36790, 34394, 17741, 281, 2742, 23143, 309, 2239, 16, 21, 16, 28578, 778, 41504, 8791, 77, 8211, 309, 430, 16, 21, 7418, 5841, 2499, 297, 778, 1021, 3669, 715, 9003, 289, 27060, 778, 715, 10, 52, 19, 12059, 60, 1156, 23621, 4207, 334, 2239, 16, 21, 5999, 365, 10666, 8192, 10546, 289, 324, 272, 24174, 783, 4830, 2145, 17917, 343, 32870, 18, 39952, 16, 374, 4770, 282, 1360, 8180, 49591, 305, 294, 1033, 10400, 1147, 31230, 281, 31279, 304, 567, 37107, 38770, 16959, 541, 7234, 411, 17, 431, 2352, 28642, 34743, 10059, 289, 4999, 16178, 18, 365, 2343, 13519, 5576, 16062, 873, 16670, 18787, 30819, 3010, 454, 8961, 1004, 1087, 19317, 486, 15027, 510, 309, 1421, 5196, 16, 1624, 753, 349, 481, 808, 10529, 294, 4956, 9192, 33960, 282, 4599, 27526, 14600, 18, 478, 12105, 34256, 14394, 924, 16, 374, 2350, 5537, 2352, 331, 3209, 9553, 8945, 910, 510, 2548, 26060, 608, 265, 2549, 1624, 6548, 5603, 297, 715, 1890, 70, 5763, 2058, 31043, 2415, 29756, 18, 20409, 33843, 36583, 16, 374, 14698, 7143, 416, 3860, 2145, 5736, 373, 17126, 9795, 9351, 309, 10575, 1385, 26476, 18, 3791, 309, 1907, 4281, 1698, 25371, 7036, 477, 5790, 18034, 6365, 46509, 2899, 16, 1586, 15516, 282, 2511, 18, 646, 282, 40315, 18, 640, 1420, 39700, 21394, 36582, 15861, 3599, 3874, 293, 344, 16, 515, 2650, 895, 953, 12988, 1569, 411, 17, 431, 24891, 6454, 1251, 16755, 8943, 16, 3110, 48240, 16303, 18, 365, 10666, 309, 19862, 5814, 19988, 34121, 17359, 16, 3387, 13205, 10575, 1742, 8275, 26357, 411, 17, 431, 36588, 27276, 37513, 2220, 3850, 403, 11365, 18, 1591, 12241, 39700, 14668, 24777, 10440, 334, 557, 2381, 8434, 7234, 18, 20409, 33843, 16, 30434, 448, 39298, 38341, 1624, 30885, 16, 374, 22996, 755, 2957, 759, 4982, 4696, 49379, 22240, 309, 1533, 34278, 289, 286, 47568, 37291, 5096, 814, 365, 9937, 15516, 22481, 24761, 15623, 282, 38342, 16460, 16, 1029, 34386, 519, 7388, 11444, 18, 3791, 309, 1335, 11056, 840, 30733, 12445, 3050, 6236, 622, 14795, 37283, 6271, 30, 10982, 1624, 16422, 1624, 20044, 18, 640, 13519, 11056, 8275, 10117, 6591, 16, 9725, 5229, 282, 3998, 779, 18, 1540, 1246, 4607, 34556, 16447, 2906, 31294, 18, 999, 5017, 7314, 5284, 11304, 2696, 8275, 7990, 309, 430, 16, 29, 9, 519, 1760, 5041, 16, 25, 12188, 334, 16597, 1508, 421, 29731, 983, 289, 519, 2261, 8696, 16, 25, 12188, 334, 16597, 1508, 472, 15132 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 434, 46782, 20142, 15341, 16, 828, 21173, 343, 334, 42564, 18, 478, 12856, 18437, 451, 6029, 34294, 266, 41702, 14482, 39369, 16, 49209, 281, 31354, 416, 6986, 761, 282, 30218, 910, 510, 10050, 12189, 18, 17195, 39273, 4725, 16, 374, 49024, 1602, 17, 34123, 262, 11624, 14508, 5549, 282, 5329, 289, 38367, 39483, 282, 4810, 3872, 6066, 5331, 29577, 16, 309, 1639, 17583, 9250, 10216, 16, 367, 14917, 16, 289, 12023, 5995, 309, 18496, 2248, 1947, 18, 8859, 282, 4698, 3678, 309, 2303, 16, 1029, 282, 2553, 439, 17316, 12800, 484, 282, 23545, 1957, 547, 2100, 473, 10852, 1009, 814, 49024, 1133, 29577, 23160, 6336, 5925, 16, 22434, 7072, 430, 37274, 8613, 1009, 1122, 20542, 4843, 23419, 16, 374, 6353, 15341, 16, 828, 282, 7044, 289, 2145, 18, 740, 3771, 16, 334, 3163, 17195, 286, 3340, 16, 45449, 1595, 23545, 16655, 2303, 282, 439, 17316, 16, 282, 970, 2875, 289, 41647, 16, 16219, 16, 453, 428, 41476, 5897, 887, 7109, 986, 2158, 289, 2644, 16685, 287, 5995, 282, 1129, 322, 898, 31163, 318, 18, 478, 677, 2630, 281, 2184, 1175, 6332, 31486, 282, 1614, 14137, 2839, 29134, 16, 510, 2548, 12189, 18, 510, 39766, 3168, 4633, 726, 3531, 41476, 281, 14311, 2898, 4697, 25237, 861, 49576, 12189, 8506, 46252, 412, 34980, 1051, 1175, 3883, 7309, 457, 8112, 512, 12016, 16, 374, 38367, 39483, 510, 2992, 282, 2968, 473, 27946, 10440, 13, 17401, 8613, 1009, 473, 899, 324, 708, 3426, 305, 1033, 2555, 3763, 7833, 16172, 814, 478, 19479, 10041, 16, 38367, 39483, 16768, 8140, 282, 24278, 440, 7167, 20569, 16, 2686, 8197, 29665, 334, 42147, 2955, 510, 2410, 43233, 7256, 267, 353, 3384, 11048, 16, 1003, 7045, 22289, 16, 374, 1542, 31486, 2693, 2178, 956, 2154, 16, 510, 49644, 457, 8112, 512, 18, 510, 27751, 36510, 2234, 309, 9837, 1119, 6029, 20569, 8697, 282, 1614, 14137, 2839, 29134, 510, 481, 475, 1500, 575, 8613, 1009, 861, 385, 2921, 1082, 23545, 23392, 8697, 13340, 41647, 9013, 4366, 478, 28828, 319, 861, 365, 4301, 12318, 44922, 19186, 3785, 9813, 1154, 2678, 20569, 23545, 23392, 8697, 281, 22350, 268, 35392, 3334, 1802, 2335, 633, 289, 715, 56, 60, 18, 608, 478, 49867, 470, 912, 8613, 1009, 17, 36741, 281, 13198, 8992, 92, 461, 49, 4166, 787, 18, 640, 20838, 300, 1153, 1943, 953, 19016, 4704, 24512, 1061, 3763, 7833, 18, 2046, 18836, 23545, 23392, 8697, 282, 1175, 322, 11417, 8898, 1999, 363, 16, 12233, 20072, 20569, 9298, 687, 478, 18306, 861, 5043, 16, 428, 4419, 33060, 5792, 477, 7755, 309, 13156, 16, 4871, 11417, 8898, 1640, 27441, 8613, 1009, 895, 953, 18566, 726, 282, 12354, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 11383, 16545, 44922, 2145, 309, 13367, 20871, 1087, 19317, 486, 1413, 576, 1472, 37649, 668, 8156, 44258, 18, 1598, 7207, 10242, 23271, 1698, 7005, 5790, 18034, 6365, 2044, 46509, 2899, 30, 48468, 8232, 36582, 3599, 16, 515, 1251, 16755, 8943, 1003, 14665, 18, 31224, 30, 677, 10666, 9805, 10575, 1742, 8275, 24595, 4898, 324, 1599, 2482, 18, 999, 5487, 11954, 4281, 24610, 421, 29731, 983, 7990, 309, 2239, 16, 8696, 9, 519, 1760, 10176, 12188, 16, 24610, 472, 15132, 38778, 309, 2239, 16, 8492, 9, 519, 2261, 7675, 12153, 18, 26482, 7307, 294, 3607, 344, 2145, 309, 26962, 5814, 7479, 289, 12076, 4843, 21, 16, 7536, 4691, 334, 7413, 281, 4843, 21, 16, 7536, 6568, 309, 2513, 2722, 7043, 282, 10882, 18, 16251, 309, 11460, 8934, 40999, 309, 22322, 680, 21767, 34534, 41, 1149, 1171, 7765, 41626, 309, 4843, 20, 16, 8976, 473, 20, 16, 6894, 18314, 510, 519, 4843, 50014, 16, 11672, 349, 26650, 18, 824, 8872, 4281, 282, 10882, 6134, 10960, 18814, 309, 4843, 20, 16, 11842, 473, 20, 16, 12630, 18314, 510, 519, 4843, 50014, 16, 14550, 349, 26650, 18, 18847, 675, 49024, 1602, 17, 34123, 262, 11624, 13104, 5791, 1038, 322, 4247, 7343, 42973, 18, 385, 833, 451, 24610, 5791, 31881, 39, 45, 36790, 34394, 17741, 281, 2742, 23143, 309, 2239, 16, 21, 16, 28578, 778, 41504, 8791, 77, 8211, 309, 430, 16, 21, 7418, 5841, 2499, 297, 778, 1021, 3669, 715, 9003, 289, 27060, 778, 715, 10, 52, 19, 12059, 60, 1156, 23621, 4207, 334, 2239, 16, 21, 5999, 365, 10666, 8192, 10546, 289, 324, 272, 24174, 783, 4830, 2145, 17917, 343, 32870, 18, 39952, 16, 374, 4770, 282, 1360, 8180, 49591, 305, 294, 1033, 10400, 1147, 31230, 281, 31279, 304, 567, 37107, 38770, 16959, 541, 7234, 411, 17, 431, 2352, 28642, 34743, 10059, 289, 4999, 16178, 18, 365, 2343, 13519, 5576, 16062, 873, 16670, 18787, 30819, 3010, 454, 8961, 1004, 1087, 19317, 486, 15027, 510, 309, 1421, 5196, 16, 1624, 753, 349, 481, 808, 10529, 294, 4956, 9192, 33960, 282, 4599, 27526, 14600, 18, 478, 12105, 34256, 14394, 924, 16, 374, 2350, 5537, 2352, 331, 3209, 9553, 8945, 910, 510, 2548, 26060, 608, 265, 2549, 1624, 6548, 5603, 297, 715, 1890, 70, 5763, 2058, 31043, 2415, 29756, 18, 20409, 33843, 36583, 16, 374, 14698, 7143, 416, 3860, 2145, 5736, 373, 17126, 9795, 9351, 309, 10575, 1385, 26476, 18, 3791, 309, 1907, 4281, 1698, 25371, 7036, 477, 5790, 18034, 6365, 46509, 2899, 16, 1586, 15516, 282, 2511, 18, 646, 282, 40315, 18, 640, 1420, 39700, 21394, 36582, 15861, 3599, 3874, 293, 344, 16, 515, 2650, 895, 953, 12988, 1569, 411, 17, 431, 24891, 6454, 1251, 16755, 8943, 16, 3110, 48240, 16303, 18, 365, 10666, 309, 19862, 5814, 19988, 34121, 17359, 16, 3387, 13205, 10575, 1742, 8275, 26357, 411, 17, 431, 36588, 27276, 37513, 2220, 3850, 403, 11365, 18, 1591, 12241, 39700, 14668, 24777, 10440, 334, 557, 2381, 8434, 7234, 18, 20409, 33843, 16, 30434, 448, 39298, 38341, 1624, 30885, 16, 374, 22996, 755, 2957, 759, 4982, 4696, 49379, 22240, 309, 1533, 34278, 289, 286, 47568, 37291, 5096, 814, 365, 9937, 15516, 22481, 24761, 15623, 282, 38342, 16460, 16, 1029, 34386, 519, 7388, 11444, 18, 3791, 309, 1335, 11056, 840, 30733, 12445, 3050, 6236, 622, 14795, 37283, 6271, 30, 10982, 1624, 16422, 1624, 20044, 18, 640, 13519, 11056, 8275, 10117, 6591, 16, 9725, 5229, 282, 3998, 779, 18, 1540, 1246, 4607, 34556, 16447, 2906, 31294, 18, 999, 5017, 7314, 5284, 11304, 2696, 8275, 7990, 309, 430, 16, 29, 9, 519, 1760, 5041, 16, 25, 12188, 334, 16597, 1508, 421, 29731, 983, 289, 519, 2261, 8696, 16, 25, 12188, 334, 16597, 1508, 472, 15132 ]
[ 18, 365, 10882, 6927, 709, 7781, 11465, 9795, 9351, 309, 21767, 2596, 1677, 5868, 16, 9805, 8275, 7990, 349, 1119, 1033, 828, 309, 430, 5999, 12758, 526, 309, 13519, 11056, 6681, 811, 309, 1032, 30190, 6152, 16442, 16, 7083, 1752, 519, 2555, 16, 6462, 10597, 349, 4843, 21, 16, 289, 309, 2287, 32906, 334, 8823, 294, 7307, 16, 7083, 1752, 519, 4317, 16, 6654, 10597, 349, 7307, 18, 4707, 8559, 9351, 309, 26476, 27631, 7036, 290, 2252, 547, 3219, 8191, 4103, 1161, 3860, 2145, 18, 4572, 425, 290, 970, 16, 374, 8961, 341, 1087, 19317, 486, 895, 953, 16907, 16, 478, 267, 307, 24614, 26659, 18869, 10250, 39888, 354, 2145, 289, 22444, 6406, 13913, 309, 26476, 910, 5273, 12975, 2502, 18746, 1624, 7996, 22029, 346, 6660, 18930, 478, 618, 12790, 861, 2, 1, 87, 1456, 81, 2448, 30, 9489, 18890, 7977, 3771, 651, 19597, 4653, 282, 4301, 27304, 11833, 637, 14364, 6548, 9680, 7646, 27960, 47506, 5158, 286, 4725, 16, 374, 282, 17536, 616, 432, 282, 447, 12317, 7422, 289, 15301, 10485, 292, 505, 7193, 22474, 1882, 16, 828, 282, 5572, 18, 3883, 23642, 7583, 4966, 16095, 10171, 3740, 9299, 16, 374, 16452, 32908, 14929, 467, 4769, 281, 8864, 7760, 16, 367, 39914, 10618, 1870, 15011, 20173, 4255, 1475, 16, 374, 322, 2564, 4751, 360, 5934, 39175, 9547, 7646, 18, 31224, 30, 6904, 1080, 766, 390, 1936, 10936, 45593, 4765, 6379, 3541, 898, 2702, 13575, 262, 1625, 318, 18, 510, 22987, 7193, 1800, 22474, 8067, 1882, 16, 828, 282, 11877, 16, 376, 9299, 579, 23642, 26923, 1275, 27960, 47506, 5158, 286, 18, 651, 608, 813, 3964, 322, 475, 7820, 18, 365, 5572, 29235, 2141, 475, 4250, 1323, 411, 4170, 16, 1830, 656, 289, 40900, 505, 281, 46987, 12932, 18, 365, 10130, 25509, 1882, 16, 515, 16410, 1175, 9621, 798, 18, 39084, 7168, 7739, 4151, 4693, 12620, 309, 47627, 12013, 2422, 18, 510, 13141, 1947, 28604, 3857, 4266, 290, 17472, 25728, 520, 877, 349, 2948, 3541, 411, 17370, 5538, 18, 8001, 11832, 778, 3216, 757, 373, 282, 1420, 18908, 35, 510, 640, 21673, 7907, 4811, 2787, 1396, 798, 942, 14044, 290, 970, 16, 374, 289, 282, 26303, 912, 939, 8462, 448, 16452, 32908, 18, 1397, 575, 5327, 8261, 26923, 933, 23904, 21986, 282, 28604, 16, 784, 290, 1169, 1329, 322, 3665, 18, 629, 31634, 7342, 18, 510, 824, 7413, 281, 9671, 966, 2384, 1313, 9478, 23621, 4207, 518, 7109, 12525, 16, 961, 35861, 309, 8285, 282, 17739, 269, 2557, 289, 20330, 32569, 282, 27304, 11833, 16929, 452, 282, 42947, 16, 376, 1109, 579, 23642, 7342, 1175, 16095, 10171, 3740, 18, 651, 16204, 2373, 862, 16, 374, 32092, 322, 9929, 23635, 14820, 18, 510, 4338, 20925, 1175, 22474, 282, 1421, 16329, 382, 14719, 655, 510, 608, 813, 8421, 4758, 322, 639, 18, 2112, 28564, 22227, 15561, 289, 6434, 8114, 282, 18923, 45593, 6933, 1223, 4705, 1307, 1353, 2169, 18, 365, 1335, 4096, 9084, 3515, 344, 1676, 2616, 17, 299, 1143, 16, 367, 2616, 17, 299, 3440, 16, 322, 639, 18, 510, 7883, 16452, 26226, 411, 978, 9536, 4247, 21657, 16171, 18603, 309, 34472, 17, 13733, 35, 510, 1483, 321, 2155, 5259, 18, 640, 11671, 10649, 8547, 294, 7342, 12215, 1886, 16452, 32908, 478, 563, 455, 36291, 1614, 332, 3583, 470, 289, 478, 50157, 354, 910, 20539, 1747, 5098, 18282, 289, 8404, 411, 29730, 18, 510, 21484, 4854, 8602, 30, 1085, 575, 475, 17, 2767, 685, 7265, 282, 10434, 16, 387, 670, 4944, 29707, 483, 11331, 510, 1345, 11157, 309, 850, 2640, 305, 432, 2742, 292, 18, 30233, 4398, 17033, 390, 2451, 10983, 4263, 289, 39914, 10618, 1870, 15011, 20173, 18, 510, 14097, 319, 282, 1421, 42016, 639, 8067, 16859, 35, 510, 824, 784, 16, 453, 8030, 18, 1303, 8404, 5684, 1143, 42905, 1612, 16, 289, 30503, 4466, 685, 1033, 13003, 334, 7413, 281, 9671, 966, 2384, 1313, 18, 1345, 13996, 5385, 16, 428, 4266, 16452, 32908, 18, 510, 15827, 27473, 685, 10133, 1279, 26923, 1275, 16, 9478, 16017, 1587, 7342, 1175, 282, 16354, 35, 510, 365, 2849, 8547, 294, 4027, 552, 2422, 2388, 26070, 939, 38777, 18, 1606, 10842, 17422, 294, 2411, 552, 34472, 17, 13733, 282, 12334, 1809, 5492, 18, 510, 3654, 1272, 7977, 1881, 751, 7071, 14358, 35, 510, 365, 4056, 9547, 20645, 300, 13064, 7446, 18, 1591, 2992, 656, 15384, 3716, 475, 1617, 16171, 16, 2805, 282, 11063, 18, 510, 365, 4056, 9547, 387, 281, 6729, 304, 5347, 375, 25427, 2509, 14725, 282, 3709, 1451, 1414, 281, 6907, 339, 22227, 15561, 1624, 567, 7422, 651, 281, 14153, 304, 8049, 265, 513, 390, 3259, 655, 510, 16274, 1791, 567, 41933, 281, 28844, 329, 813, 281, 10806, 304, 322, 38895, 18, 459, 22227, 15561, 16, 289, 8049, 265, 513, 5881, 651, 16452, 32908, 26911, 1081, 7663, 16, 281, 6133, 942, 18908, 281, 24108, 18, 510, 365, 4335, 10390, 17537, 387, 5988, 2602, 281, 26923, 3334, 16452, 265, 5364, 16, 515, 519, 32764, 1743, 322, 19740, 655, 510, 8589, 639, 428, 17, 299, 32325, 1186, 32737, 16, 1481, 489, 973, 14895, 18, 2681, 2504, 411, 26923, 1275, 322, 6841, 905, 21986, 477, 2924, 282, 3800, 18, 11333, 6034, 942, 5298, 309, 7759, 7342, 1175, 18, 2, 1, 87, 1456, 81, 2448, 30, 16497, 41968, 5308, 322, 7737, 27714, 537, 2236, 4183, 7663, 16, 282, 502, 808, 428, 282, 2555, 21122, 9187, 12076, 519, 594, 1135, 18, 4763, 1133, 2891, 15769, 38030, 25267, 18834, 2906, 5308, 289, 27604, 697, 6359, 1974, 281, 38818, 282, 31048, 36597, 17637, 26035, 18, 31224, 30, 677, 10882, 9128, 22104, 4534, 9409, 42045, 1577, 309, 2204, 17886, 25804, 10539, 5439, 8977, 16, 374, 23902, 41968, 5308, 322, 7737, 27714, 537, 2236, 4183, 7663, 18, 9570, 282, 2555, 48872, 21122, 17583, 1008, 451, 32674, 281, 2018, 4857, 18, 478, 1140, 813, 8526, 9528, 2555, 3140, 510, 4519, 432, 13764, 16, 961, 8074, 326, 1033, 594, 19527, 910, 510, 38349, 2076, 277, 25210, 18, 22568, 7006, 520, 25190, 16, 3387, 1715, 475, 4272, 726, 16799, 318, 18, 478, 3693, 6573, 282, 5487, 35850, 48872, 17637, 26035, 3716, 44953, 16, 309, 1800, 411, 20391, 2634, 33865, 282, 10684, 16, 7174, 973, 10744, 16, 44283, 1007, 23308, 6427, 24, 4282, 910, 510, 2323, 42045, 1577, 18, 824, 22573, 3761, 16, 1223, 282, 3507, 1033, 23288, 3140, 16, 282, 5487, 35850, 282, 803, 1045, 14929, 467, 2511, 2783, 17637, 26035, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18, 365, 10882, 6927, 709, 7781, 11465, 9795, 9351, 309, 21767, 2596, 1677, 5868, 16, 9805, 8275, 7990, 349, 1119, 1033, 828, 309, 430, 5999, 12758, 526, 309, 13519, 11056, 6681, 811, 309, 1032, 30190, 6152, 16442, 16, 7083, 1752, 519, 2555, 16, 6462, 10597, 349, 4843, 21, 16, 289, 309, 2287, 32906, 334, 8823, 294, 7307, 16, 7083, 1752, 519, 4317, 16, 6654, 10597, 349, 7307, 18, 4707, 8559, 9351, 309, 26476, 27631, 7036, 290, 2252, 547, 3219, 8191, 4103, 1161, 3860, 2145, 18, 4572, 425, 290, 970, 16, 374, 8961, 341, 1087, 19317, 486, 895, 953, 16907, 16, 478, 267, 307, 24614, 26659, 18869, 10250, 39888, 354, 2145, 289, 22444, 6406, 13913, 309, 26476, 910, 5273, 12975, 2502, 18746, 1624, 7996, 22029, 346, 6660, 18930, 478, 618, 12790, 861, 2, 1, 87, 1456, 81, 2448, 30, 9489, 18890, 7977, 3771, 651, 19597, 4653, 282, 4301, 27304, 11833, 637, 14364, 6548, 9680, 7646, 27960, 47506, 5158, 286, 4725, 16, 374, 282, 17536, 616, 432, 282, 447, 12317, 7422, 289, 15301, 10485, 292, 505, 7193, 22474, 1882, 16, 828, 282, 5572, 18, 3883, 23642, 7583, 4966, 16095, 10171, 3740, 9299, 16, 374, 16452, 32908, 14929, 467, 4769, 281, 8864, 7760, 16, 367, 39914, 10618, 1870, 15011, 20173, 4255, 1475, 16, 374, 322, 2564, 4751, 360, 5934, 39175, 9547, 7646, 18, 31224, 30, 6904, 1080, 766, 390, 1936, 10936, 45593, 4765, 6379, 3541, 898, 2702, 13575, 262, 1625, 318, 18, 510, 22987, 7193, 1800, 22474, 8067, 1882, 16, 828, 282, 11877, 16, 376, 9299, 579, 23642, 26923, 1275, 27960, 47506, 5158, 286, 18, 651, 608, 813, 3964, 322, 475, 7820, 18, 365, 5572, 29235, 2141, 475, 4250, 1323, 411, 4170, 16, 1830, 656, 289, 40900, 505, 281, 46987, 12932, 18, 365, 10130, 25509, 1882, 16, 515, 16410, 1175, 9621, 798, 18, 39084, 7168, 7739, 4151, 4693, 12620, 309, 47627, 12013, 2422, 18, 510, 13141, 1947, 28604, 3857, 4266, 290, 17472, 25728, 520, 877, 349, 2948, 3541, 411, 17370, 5538, 18, 8001, 11832, 778, 3216, 757, 373, 282, 1420, 18908, 35, 510, 640, 21673, 7907, 4811, 2787, 1396, 798, 942, 14044, 290, 970, 16, 374, 289, 282, 26303, 912, 939, 8462, 448, 16452, 32908, 18, 1397, 575, 5327, 8261, 26923, 933, 23904, 21986, 282, 28604, 16, 784, 290, 1169, 1329, 322, 3665, 18, 629, 31634, 7342, 18, 510, 824, 7413, 281, 9671, 966, 2384, 1313, 9478, 23621, 4207, 518, 7109, 12525, 16, 961, 35861, 309, 8285, 282, 17739, 269, 2557, 289, 20330, 32569, 282, 27304, 11833, 16929, 452, 282, 42947, 16, 376, 1109, 579, 23642, 7342, 1175, 16095, 10171, 3740, 18, 651, 16204, 2373, 862, 16, 374, 32092, 322, 9929, 23635, 14820, 18, 510, 4338, 20925, 1175, 22474, 282, 1421, 16329, 382, 14719, 655, 510, 608, 813, 8421, 4758, 322, 639, 18, 2112, 28564, 22227, 15561, 289, 6434, 8114, 282, 18923, 45593, 6933, 1223, 4705, 1307, 1353, 2169, 18, 365, 1335, 4096, 9084, 3515, 344, 1676, 2616, 17, 299, 1143, 16, 367, 2616, 17, 299, 3440, 16, 322, 639, 18, 510, 7883, 16452, 26226, 411, 978, 9536, 4247, 21657, 16171, 18603, 309, 34472, 17, 13733, 35, 510, 1483, 321, 2155, 5259, 18, 640, 11671, 10649, 8547, 294, 7342, 12215, 1886, 16452, 32908, 478, 563, 455, 36291, 1614, 332, 3583, 470, 289, 478, 50157, 354, 910, 20539, 1747, 5098, 18282, 289, 8404, 411, 29730, 18, 510, 21484, 4854, 8602, 30, 1085, 575, 475, 17, 2767, 685, 7265, 282, 10434, 16, 387, 670, 4944, 29707, 483, 11331, 510, 1345, 11157, 309, 850, 2640, 305, 432, 2742, 292, 18, 30233, 4398, 17033, 390, 2451, 10983, 4263, 289, 39914, 10618, 1870, 15011, 20173, 18, 510, 14097, 319, 282, 1421, 42016, 639, 8067, 16859, 35, 510, 824, 784, 16, 453, 8030, 18, 1303, 8404, 5684, 1143, 42905, 1612, 16, 289, 30503, 4466, 685, 1033, 13003, 334, 7413, 281, 9671, 966, 2384, 1313, 18, 1345, 13996, 5385, 16, 428, 4266, 16452, 32908, 18, 510, 15827, 27473, 685, 10133, 1279, 26923, 1275, 16, 9478, 16017, 1587, 7342, 1175, 282, 16354, 35, 510, 365, 2849, 8547, 294, 4027, 552, 2422, 2388, 26070, 939, 38777, 18, 1606, 10842, 17422, 294, 2411, 552, 34472, 17, 13733, 282, 12334, 1809, 5492, 18, 510, 3654, 1272, 7977, 1881, 751, 7071, 14358, 35, 510, 365, 4056, 9547, 20645, 300, 13064, 7446, 18, 1591, 2992, 656, 15384, 3716, 475, 1617, 16171, 16, 2805, 282, 11063, 18, 510, 365, 4056, 9547, 387, 281, 6729, 304, 5347, 375, 25427, 2509, 14725, 282, 3709, 1451, 1414, 281, 6907, 339, 22227, 15561, 1624, 567, 7422, 651, 281, 14153, 304, 8049, 265, 513, 390, 3259, 655, 510, 16274, 1791, 567, 41933, 281, 28844, 329, 813, 281, 10806, 304, 322, 38895, 18, 459, 22227, 15561, 16, 289, 8049, 265, 513, 5881, 651, 16452, 32908, 26911, 1081, 7663, 16, 281, 6133, 942, 18908, 281, 24108, 18, 510, 365, 4335, 10390, 17537, 387, 5988, 2602, 281, 26923, 3334, 16452, 265, 5364, 16, 515, 519, 32764, 1743, 322, 19740, 655, 510, 8589, 639, 428, 17, 299, 32325, 1186, 32737, 16, 1481, 489, 973, 14895, 18, 2681, 2504, 411, 26923, 1275, 322, 6841, 905, 21986, 477, 2924, 282, 3800, 18, 11333, 6034, 942, 5298, 309, 7759, 7342, 1175, 18, 2, 1, 87, 1456, 81, 2448, 30, 16497, 41968, 5308, 322, 7737, 27714, 537, 2236, 4183, 7663, 16, 282, 502, 808, 428, 282, 2555, 21122, 9187, 12076, 519, 594, 1135, 18, 4763, 1133, 2891, 15769, 38030, 25267, 18834, 2906, 5308, 289, 27604, 697, 6359, 1974, 281, 38818, 282, 31048, 36597, 17637, 26035, 18, 31224, 30, 677, 10882, 9128, 22104, 4534, 9409, 42045, 1577, 309, 2204, 17886, 25804, 10539, 5439, 8977, 16, 374, 23902, 41968, 5308, 322, 7737, 27714, 537, 2236, 4183, 7663, 18, 9570, 282, 2555, 48872, 21122, 17583, 1008, 451, 32674, 281, 2018, 4857, 18, 478, 1140, 813, 8526, 9528, 2555, 3140, 510, 4519, 432, 13764, 16, 961, 8074, 326, 1033, 594, 19527, 910, 510, 38349, 2076, 277, 25210, 18, 22568, 7006, 520, 25190, 16, 3387, 1715, 475, 4272, 726, 16799, 318, 18, 478, 3693, 6573, 282, 5487, 35850, 48872, 17637, 26035, 3716, 44953, 16, 309, 1800, 411, 20391, 2634, 33865, 282, 10684, 16, 7174, 973, 10744, 16, 44283, 1007, 23308, 6427, 24, 4282, 910, 510, 2323, 42045, 1577, 18, 824, 22573, 3761, 16, 1223, 282, 3507, 1033, 23288, 3140, 16, 282, 5487, 35850, 282, 803, 1045, 14929, 467, 2511, 2783, 17637, 26035, 16 ]
[ 478, 404, 418, 18834, 2906, 470, 5308, 19967, 2619, 1533, 9, 360, 697, 7619, 18, 365, 36798, 10628, 11153, 4626, 6730, 281, 17047, 4520, 42538, 1139, 30, 478, 22995, 1947, 1609, 5317, 8100, 289, 28908, 5308, 16, 961, 1698, 4751, 8447, 15477, 5366, 16, 510, 9848, 3781, 17, 15975, 15352, 3720, 31377, 1388, 18, 651, 385, 5816, 979, 11410, 2926, 8314, 28228, 360, 6975, 656, 5684, 939, 2490, 3450, 289, 18848, 668, 11132, 26938, 3140, 18, 1178, 3255, 7761, 581, 15077, 282, 1176, 1119, 16, 393, 2311, 5178, 394, 48562, 16, 44561, 590, 6573, 16, 502, 1441, 656, 360, 978, 12357, 30, 329, 1209, 18090, 10394, 281, 4120, 4440, 779, 906, 2678, 32783, 282, 6829, 16, 367, 281, 3612, 656, 726, 4732, 4358, 861, 824, 3163, 18144, 2538, 401, 16, 2496, 25267, 18834, 3314, 3140, 912, 18578, 16, 785, 11223, 3164, 282, 687, 374, 3592, 6238, 289, 1461, 389, 562, 2000, 547, 3948, 289, 8195, 41912, 322, 14830, 27714, 2533, 282, 2615, 8462, 16, 515, 5906, 411, 1033, 10504, 13289, 3140, 6933, 309, 5421, 33840, 1205, 749, 40503, 1051, 1717, 411, 17, 431, 17622, 346, 5366, 6495, 6699, 4626, 18, 365, 502, 575, 808, 282, 1110, 21122, 16, 961, 38952, 29061, 965, 281, 14157, 1963, 16, 794, 1018, 275, 21470, 28759, 685, 939, 3084, 18, 478, 21393, 5308, 16, 961, 8074, 326, 693, 27484, 2533, 16, 367, 282, 4729, 9187, 12076, 20207, 40503, 1051, 910, 510, 4848, 478, 46088, 18, 8381, 470, 6187, 1312, 630, 478, 3127, 1394, 873, 315, 470, 4855, 1061, 8725, 16, 3203, 43902, 16040, 26199, 2086, 45274, 18, 365, 17618, 8640, 22290, 6279, 3140, 395, 3711, 3814, 1086, 7775, 541, 5606, 15964, 935, 349, 13952, 1634, 3448, 18, 478, 4348, 6858, 334, 3427, 45149, 25733, 34871, 6975, 30, 22290, 2906, 5308, 22438, 4823, 1209, 18090, 289, 45979, 12356, 35850, 16, 282, 970, 2875, 282, 6359, 292, 36039, 3302, 3140, 16, 961, 1565, 389, 1225, 1067, 1007, 910, 510, 2548, 3720, 31377, 1388, 18, 365, 10628, 11153, 4626, 4266, 16, 374, 25267, 18834, 2906, 5308, 49675, 347, 318, 334, 3025, 3507, 289, 282, 22792, 2301, 1967, 3140, 895, 953, 16147, 8087, 18, 478, 1295, 2478, 3140, 1974, 281, 9154, 18075, 3461, 282, 31048, 36597, 3140, 16, 961, 6354, 6925, 2795, 1595, 31850, 3952, 18, 385, 3744, 9551, 16, 827, 745, 4702, 7393, 16, 1513, 43293, 470, 1624, 510, 2548, 31377, 1388, 18, 1937, 1717, 481, 895, 18815, 16, 1055, 10480, 18, 478, 28526, 274, 11329, 1136, 350, 553, 16, 942, 294, 430, 3597, 5134, 7272, 334, 5219, 954, 3140, 289, 23462, 14031, 18, 3557, 1033, 374, 478, 24119, 1527, 470, 289, 478, 293, 11164, 485, 470, 6535, 2406, 910, 510, 12557, 281, 16052, 15352, 4626, 8624, 8424, 334, 25516, 289, 37870, 12384, 43788, 8827, 7947, 18029, 379, 523, 18, 20440, 10376, 5769, 1124, 18207, 3140, 282, 31048, 36597, 282, 3507, 726, 912, 18, 478, 20377, 779, 2158, 656, 6102, 1383, 3457, 294, 1190, 2361, 5993, 539, 8794, 16, 5172, 5308, 417, 334, 870, 4118, 12594, 6710, 12498, 322, 3478, 16, 515, 8188, 16, 374, 678, 281, 6525, 14929, 332, 1176, 2615, 8462, 18, 1345, 26986, 7762, 294, 1190, 1209, 18090, 16231, 16, 5135, 17, 299, 2301, 20894, 13747, 16, 281, 5045, 17, 299, 39235, 18, 365, 481, 8794, 6981, 15787, 6633, 3369, 668, 8587, 16, 1754, 726, 15747, 16258, 18, 18687, 502, 575, 3240, 16, 4459, 1500, 575, 3560, 16, 515, 282, 2615, 575, 1205, 294, 1299, 9721, 5270, 5606, 15964, 16, 510, 10662, 2086, 45274, 18, 510, 889, 4927, 16, 785, 7365, 448, 289, 22290, 2906, 5308, 27997, 4364, 1595, 3952, 18, 38251, 4424, 17463, 541, 13595, 4075, 322, 6575, 1924, 37028, 3140, 16, 961, 9904, 322, 3147, 24706, 11171, 16, 367, 17463, 38952, 23372, 1779, 965, 8757, 510, 4564, 425, 31471, 1122, 16, 988, 2152, 21173, 1893, 8065, 10746, 861, 5043, 16, 334, 4734, 17514, 18029, 379, 3340, 16, 935, 827, 15170, 5308, 39040, 28071, 282, 2159, 31048, 16, 6295, 5304, 4093, 7787, 3964, 322, 1833, 18, 478, 23662, 816, 443, 24, 779, 16, 753, 16387, 2081, 622, 282, 16445, 6343, 5308, 31249, 16, 749, 1657, 7127, 355, 7244, 18, 3782, 12888, 276, 8355, 887, 17064, 16, 374, 639, 30442, 9337, 4626, 18, 365, 2059, 6648, 14686, 281, 4183, 7663, 16, 282, 2107, 651, 281, 25193, 18, 9617, 387, 5844, 9614, 4282, 35, 7115, 324, 5163, 345, 4504, 32492, 22219, 282, 21311, 6003, 18, 415, 3486, 10890, 9187, 14464, 16, 40013, 622, 16, 5040, 27664, 18, 1937, 656, 18997, 290, 17925, 16, 502, 1513, 2048, 453, 16, 753, 322, 639, 1329, 16, 3235, 18510, 624, 18653, 1385, 8468, 371, 3892, 2431, 282, 2615, 8462, 18, 4798, 10773, 7725, 4766, 510, 687, 10896, 289, 48757, 290, 8884, 16, 428, 282, 1073, 3375, 18, 439, 2915, 726, 5522, 18510, 624, 30, 2678, 8662, 282, 22718, 16907, 434, 4999, 840, 24960, 360, 13220, 16, 1854, 50148, 289, 23811, 18, 740, 32492, 5308, 481, 48101, 322, 2993, 910, 510, 5273, 11309, 18, 2, 1, 87, 1456, 81, 2448, 30, 7128, 370, 616, 7712, 549, 4461, 473, 1009, 15132, 13, 43344, 895, 3118, 13541, 424, 6457, 478, 37075, 861, 7263, 1724, 746, 5383, 4045, 349, 528, 15132, 4843, 21, 16, 2686, 16435, 9480, 6153, 1519, 282, 722, 12611, 8902, 322, 2619, 1939, 5096, 2791, 18, 824, 1694, 14971, 16, 12318, 9084, 567, 4606, 763, 8808, 20923, 680, 528, 15132, 1003, 16, 289, 478, 18306, 470, 282, 6940, 445, 4040, 2170, 2409, 10035, 10969, 21569, 18, 13191, 335, 2906, 26945, 510, 24660, 349, 30623, 1066, 13198, 8312, 10528, 282, 1789, 324, 409, 18, 31224, 30, 17561, 1880, 7064, 7622, 23447, 4871, 11418, 16, 5938, 5076, 478, 18306, 470, 12845, 2303, 370, 616, 7712, 668, 6138, 43344, 18, 15066, 33331, 18856, 14900, 7638, 17, 13522, 6370, 16640, 18, 45633, 290, 21992, 282, 6491, 37876, 16, 29528, 289, 7446, 29479, 8697, 309, 2923, 43344, 14782, 16, 374, 309, 8285, 7904, 9670, 478, 684, 32306, 17792, 470, 840, 4971, 1569, 7024, 281, 867, 575, 7848, 16, 515, 3417, 9, 282, 1169, 1747, 39813, 478, 18306, 272, 861, 16424, 18666, 12845, 475, 2303, 12812, 6074, 16, 2303, 1891, 436, 5526, 4793, 7020, 16, 9345, 448, 21750, 735, 8697, 473, 672, 1916, 1009, 934, 7800, 448, 16743, 289, 478, 265, 539, 14461, 910, 8380, 1687, 1230, 1212, 7421, 18, 8444, 840, 6908, 2921, 761 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 478, 404, 418, 18834, 2906, 470, 5308, 19967, 2619, 1533, 9, 360, 697, 7619, 18, 365, 36798, 10628, 11153, 4626, 6730, 281, 17047, 4520, 42538, 1139, 30, 478, 22995, 1947, 1609, 5317, 8100, 289, 28908, 5308, 16, 961, 1698, 4751, 8447, 15477, 5366, 16, 510, 9848, 3781, 17, 15975, 15352, 3720, 31377, 1388, 18, 651, 385, 5816, 979, 11410, 2926, 8314, 28228, 360, 6975, 656, 5684, 939, 2490, 3450, 289, 18848, 668, 11132, 26938, 3140, 18, 1178, 3255, 7761, 581, 15077, 282, 1176, 1119, 16, 393, 2311, 5178, 394, 48562, 16, 44561, 590, 6573, 16, 502, 1441, 656, 360, 978, 12357, 30, 329, 1209, 18090, 10394, 281, 4120, 4440, 779, 906, 2678, 32783, 282, 6829, 16, 367, 281, 3612, 656, 726, 4732, 4358, 861, 824, 3163, 18144, 2538, 401, 16, 2496, 25267, 18834, 3314, 3140, 912, 18578, 16, 785, 11223, 3164, 282, 687, 374, 3592, 6238, 289, 1461, 389, 562, 2000, 547, 3948, 289, 8195, 41912, 322, 14830, 27714, 2533, 282, 2615, 8462, 16, 515, 5906, 411, 1033, 10504, 13289, 3140, 6933, 309, 5421, 33840, 1205, 749, 40503, 1051, 1717, 411, 17, 431, 17622, 346, 5366, 6495, 6699, 4626, 18, 365, 502, 575, 808, 282, 1110, 21122, 16, 961, 38952, 29061, 965, 281, 14157, 1963, 16, 794, 1018, 275, 21470, 28759, 685, 939, 3084, 18, 478, 21393, 5308, 16, 961, 8074, 326, 693, 27484, 2533, 16, 367, 282, 4729, 9187, 12076, 20207, 40503, 1051, 910, 510, 4848, 478, 46088, 18, 8381, 470, 6187, 1312, 630, 478, 3127, 1394, 873, 315, 470, 4855, 1061, 8725, 16, 3203, 43902, 16040, 26199, 2086, 45274, 18, 365, 17618, 8640, 22290, 6279, 3140, 395, 3711, 3814, 1086, 7775, 541, 5606, 15964, 935, 349, 13952, 1634, 3448, 18, 478, 4348, 6858, 334, 3427, 45149, 25733, 34871, 6975, 30, 22290, 2906, 5308, 22438, 4823, 1209, 18090, 289, 45979, 12356, 35850, 16, 282, 970, 2875, 282, 6359, 292, 36039, 3302, 3140, 16, 961, 1565, 389, 1225, 1067, 1007, 910, 510, 2548, 3720, 31377, 1388, 18, 365, 10628, 11153, 4626, 4266, 16, 374, 25267, 18834, 2906, 5308, 49675, 347, 318, 334, 3025, 3507, 289, 282, 22792, 2301, 1967, 3140, 895, 953, 16147, 8087, 18, 478, 1295, 2478, 3140, 1974, 281, 9154, 18075, 3461, 282, 31048, 36597, 3140, 16, 961, 6354, 6925, 2795, 1595, 31850, 3952, 18, 385, 3744, 9551, 16, 827, 745, 4702, 7393, 16, 1513, 43293, 470, 1624, 510, 2548, 31377, 1388, 18, 1937, 1717, 481, 895, 18815, 16, 1055, 10480, 18, 478, 28526, 274, 11329, 1136, 350, 553, 16, 942, 294, 430, 3597, 5134, 7272, 334, 5219, 954, 3140, 289, 23462, 14031, 18, 3557, 1033, 374, 478, 24119, 1527, 470, 289, 478, 293, 11164, 485, 470, 6535, 2406, 910, 510, 12557, 281, 16052, 15352, 4626, 8624, 8424, 334, 25516, 289, 37870, 12384, 43788, 8827, 7947, 18029, 379, 523, 18, 20440, 10376, 5769, 1124, 18207, 3140, 282, 31048, 36597, 282, 3507, 726, 912, 18, 478, 20377, 779, 2158, 656, 6102, 1383, 3457, 294, 1190, 2361, 5993, 539, 8794, 16, 5172, 5308, 417, 334, 870, 4118, 12594, 6710, 12498, 322, 3478, 16, 515, 8188, 16, 374, 678, 281, 6525, 14929, 332, 1176, 2615, 8462, 18, 1345, 26986, 7762, 294, 1190, 1209, 18090, 16231, 16, 5135, 17, 299, 2301, 20894, 13747, 16, 281, 5045, 17, 299, 39235, 18, 365, 481, 8794, 6981, 15787, 6633, 3369, 668, 8587, 16, 1754, 726, 15747, 16258, 18, 18687, 502, 575, 3240, 16, 4459, 1500, 575, 3560, 16, 515, 282, 2615, 575, 1205, 294, 1299, 9721, 5270, 5606, 15964, 16, 510, 10662, 2086, 45274, 18, 510, 889, 4927, 16, 785, 7365, 448, 289, 22290, 2906, 5308, 27997, 4364, 1595, 3952, 18, 38251, 4424, 17463, 541, 13595, 4075, 322, 6575, 1924, 37028, 3140, 16, 961, 9904, 322, 3147, 24706, 11171, 16, 367, 17463, 38952, 23372, 1779, 965, 8757, 510, 4564, 425, 31471, 1122, 16, 988, 2152, 21173, 1893, 8065, 10746, 861, 5043, 16, 334, 4734, 17514, 18029, 379, 3340, 16, 935, 827, 15170, 5308, 39040, 28071, 282, 2159, 31048, 16, 6295, 5304, 4093, 7787, 3964, 322, 1833, 18, 478, 23662, 816, 443, 24, 779, 16, 753, 16387, 2081, 622, 282, 16445, 6343, 5308, 31249, 16, 749, 1657, 7127, 355, 7244, 18, 3782, 12888, 276, 8355, 887, 17064, 16, 374, 639, 30442, 9337, 4626, 18, 365, 2059, 6648, 14686, 281, 4183, 7663, 16, 282, 2107, 651, 281, 25193, 18, 9617, 387, 5844, 9614, 4282, 35, 7115, 324, 5163, 345, 4504, 32492, 22219, 282, 21311, 6003, 18, 415, 3486, 10890, 9187, 14464, 16, 40013, 622, 16, 5040, 27664, 18, 1937, 656, 18997, 290, 17925, 16, 502, 1513, 2048, 453, 16, 753, 322, 639, 1329, 16, 3235, 18510, 624, 18653, 1385, 8468, 371, 3892, 2431, 282, 2615, 8462, 18, 4798, 10773, 7725, 4766, 510, 687, 10896, 289, 48757, 290, 8884, 16, 428, 282, 1073, 3375, 18, 439, 2915, 726, 5522, 18510, 624, 30, 2678, 8662, 282, 22718, 16907, 434, 4999, 840, 24960, 360, 13220, 16, 1854, 50148, 289, 23811, 18, 740, 32492, 5308, 481, 48101, 322, 2993, 910, 510, 5273, 11309, 18, 2, 1, 87, 1456, 81, 2448, 30, 7128, 370, 616, 7712, 549, 4461, 473, 1009, 15132, 13, 43344, 895, 3118, 13541, 424, 6457, 478, 37075, 861, 7263, 1724, 746, 5383, 4045, 349, 528, 15132, 4843, 21, 16, 2686, 16435, 9480, 6153, 1519, 282, 722, 12611, 8902, 322, 2619, 1939, 5096, 2791, 18, 824, 1694, 14971, 16, 12318, 9084, 567, 4606, 763, 8808, 20923, 680, 528, 15132, 1003, 16, 289, 478, 18306, 470, 282, 6940, 445, 4040, 2170, 2409, 10035, 10969, 21569, 18, 13191, 335, 2906, 26945, 510, 24660, 349, 30623, 1066, 13198, 8312, 10528, 282, 1789, 324, 409, 18, 31224, 30, 17561, 1880, 7064, 7622, 23447, 4871, 11418, 16, 5938, 5076, 478, 18306, 470, 12845, 2303, 370, 616, 7712, 668, 6138, 43344, 18, 15066, 33331, 18856, 14900, 7638, 17, 13522, 6370, 16640, 18, 45633, 290, 21992, 282, 6491, 37876, 16, 29528, 289, 7446, 29479, 8697, 309, 2923, 43344, 14782, 16, 374, 309, 8285, 7904, 9670, 478, 684, 32306, 17792, 470, 840, 4971, 1569, 7024, 281, 867, 575, 7848, 16, 515, 3417, 9, 282, 1169, 1747, 39813, 478, 18306, 272, 861, 16424, 18666, 12845, 475, 2303, 12812, 6074, 16, 2303, 1891, 436, 5526, 4793, 7020, 16, 9345, 448, 21750, 735, 8697, 473, 672, 1916, 1009, 934, 7800, 448, 16743, 289, 478, 265, 539, 14461, 910, 8380, 1687, 1230, 1212, 7421, 18, 8444, 840, 6908, 2921, 761 ]
[ 8697, 289, 505, 18352, 979, 282, 378, 1916, 1009, 16, 6177, 37673, 309, 17924, 10145, 428, 334, 2923, 43344, 16, 453, 289, 282, 42694, 2553, 840, 25840, 478, 18306, 861, 31535, 746, 16, 282, 1423, 3678, 16, 27415, 3947, 5552, 2990, 4676, 478, 660, 1645, 470, 478, 37075, 470, 309, 16127, 8697, 282, 8362, 16, 367, 1038, 10720, 17085, 7583, 3232, 412, 21316, 289, 722, 14369, 1608, 12588, 360, 2122, 1136, 312, 15418, 289, 3125, 10414, 18, 999, 3417, 9, 7024, 478, 684, 32306, 17792, 470, 478, 18306, 470, 5383, 4045, 4843, 21, 16, 2686, 16435, 9480, 6153, 1519, 282, 12611, 8902, 44257, 17213, 322, 2619, 1939, 5096, 2791, 473, 25807, 4843, 26, 4234, 3763, 334, 30593, 309, 10882, 814, 45633, 840, 3168, 4684, 309, 2706, 986, 18, 3569, 25258, 289, 11896, 1175, 39651, 5848, 9744, 281, 10196, 297, 9153, 355, 18, 478, 684, 32306, 17792, 470, 510, 46626, 285, 309, 5814, 43344, 16, 6177, 2303, 473, 280, 2446, 2024, 282, 6255, 348, 300, 363, 409, 2553, 4896, 2555, 18314, 31535, 746, 1715, 309, 3417, 9, 7334, 6286, 2712, 18, 824, 3761, 478, 684, 32306, 486, 431, 910, 13094, 33225, 43344, 4896, 2364, 14953, 3763, 34184, 16, 515, 28099, 722, 33412, 12073, 1472, 491, 9, 360, 35539, 18, 11819, 282, 31535, 4143, 15082, 305, 22389, 775, 18, 365, 4675, 808, 282, 43344, 4452, 478, 660, 2147, 470, 478, 37075, 470, 1180, 5266, 84, 1539, 12877, 16, 40836, 4497, 31727, 20226, 454, 309, 24258, 478, 684, 2167, 21259, 470, 289, 478, 24091, 3589, 4809, 326, 1508, 1032, 861, 2949, 924, 16, 282, 43344, 4452, 478, 18306, 11460, 861, 8919, 10376, 8390, 1195, 478, 684, 32306, 17792, 304, 470, 478, 18306, 272, 470, 6268, 709, 764, 281, 8311, 779, 18, 365, 5049, 1045, 478, 18306, 470, 289, 8808, 20923, 1880, 7064, 27875, 48169, 2540, 290, 38754, 724, 750, 334, 11135, 3281, 11993, 282, 4301, 36265, 2095, 7904, 28143, 11400, 478, 684, 32306, 17792, 861, 365, 10130, 1177, 1247, 11451, 6268, 709, 309, 38369, 6677, 478, 37075, 470, 14943, 9880, 8367, 281, 9444, 43344, 18, 365, 4018, 1045, 31535, 746, 1858, 10491, 294, 1335, 8540, 30, 4498, 1655, 7387, 1472, 290, 10952, 9, 690, 263, 16, 367, 26945, 478, 37075, 470, 2125, 898, 16122, 4843, 16041, 3763, 18, 478, 18306, 470, 11451, 47291, 2354, 294, 528, 15132, 43344, 16, 2686, 322, 939, 6218, 16, 4427, 8808, 20923, 1133, 2303, 12812, 6074, 6453, 7583, 3232, 412, 21316, 18, 365, 478, 7128, 293, 1725, 470, 360, 15841, 17245, 18, 478, 47566, 17826, 20630, 622, 24637, 8808, 20923, 680, 528, 15132, 541, 478, 37075, 470, 13284, 322, 4903, 324, 16, 453, 428, 1177, 5549, 30718, 9772, 16210, 286, 16, 510, 49644, 6187, 334, 10268, 7321, 282, 7338, 16879, 10015, 4341, 75, 1072, 18159, 2230, 15561, 18, 510, 2046, 322, 2353, 17309, 16, 374, 14852, 549, 478, 660, 2147, 470, 478, 37075, 470, 9225, 34034, 6688, 309, 25878, 547, 5814, 43344, 16, 289, 14729, 477, 1963, 47251, 2241, 840, 322, 48624, 861, 2949, 924, 16, 334, 3163, 2230, 15561, 16, 583, 478, 18306, 470, 12845, 2838, 289, 6197, 16, 515, 3655, 8275, 16, 2264, 10551, 14924, 411, 37753, 18, 824, 4734, 34361, 16, 371, 50114, 8808, 20923, 680, 528, 15132, 478, 18306, 470, 5138, 364, 411, 11065, 37906, 18, 478, 18306, 470, 322, 282, 2615, 445, 13309, 2170, 2409, 10035, 10969, 21569, 16, 510, 24344, 2615, 9541, 17, 22079, 16986, 11065, 8786, 6096, 25610, 2931, 18, 510, 29045, 1939, 5096, 2791, 8026, 5856, 17085, 510, 481, 24660, 349, 3038, 12903, 334, 11135, 8312, 10528, 282, 1789, 324, 409, 861, 6422, 16, 334, 3163, 25610, 8053, 16, 3771, 44951, 5750, 3675, 835, 11247, 15958, 43344, 567, 808, 35001, 4479, 779, 1717, 1548, 16, 374, 8851, 5037, 4000, 6001, 1496, 10810, 18377, 7656, 13204, 39614, 2689, 2127, 15122, 16, 3619, 33788, 8156, 16, 515, 1728, 1694, 282, 6031, 322, 281, 9262, 18, 2877, 575, 18276, 282, 2801, 1045, 2125, 12848, 9482, 43344, 18, 478, 5673, 452, 9988, 4119, 2678, 23925, 37133, 3480, 282, 34055, 1545, 5508, 16, 510, 2548, 25610, 2931, 18, 510, 31561, 322, 687, 24761, 16, 515, 289, 19833, 4871, 1175, 309, 2923, 16879, 18, 365, 4810, 16, 3771, 3957, 16, 753, 2553, 37536, 289, 20130, 11736, 8926, 282, 6491, 722, 7405, 16, 367, 322, 16, 3057, 16, 11612, 16, 25586, 7957, 282, 9804, 16, 3872, 7260, 16, 895, 4783, 506, 861, 2, 1, 87, 1456, 81, 2448, 30, 471, 563, 455, 10347, 1614, 332, 512, 470, 282, 290, 551, 6189, 482, 44065, 8955, 329, 29565, 18, 824, 8954, 7977, 329, 12234, 873, 15536, 414, 282, 1871, 15277, 919, 18, 27289, 28383, 7977, 1559, 3720, 28265, 1388, 16, 2581, 16786, 442, 305, 17, 1198, 635, 16, 282, 970, 2875, 289, 2566, 416, 15277, 3376, 18, 478, 50157, 266, 470, 309, 3177, 27027, 25469, 478, 3096, 399, 5497, 982, 454, 861, 31224, 30, 677, 46738, 8267, 42905, 2299, 282, 12013, 28604, 5222, 17370, 9964, 29565, 13694, 309, 3177, 27027, 478, 563, 455, 10347, 1614, 332, 512, 470, 289, 25469, 282, 290, 551, 6189, 482, 477, 12932, 1032, 30, 25, 18, 1870, 5983, 873, 322, 7737, 14046, 5068, 9239, 282, 2100, 9764, 35798, 2142, 472, 675, 1484, 1624, 32949, 3326, 567, 12241, 16279, 1119, 6067, 18, 1870, 5983, 873, 10258, 13729, 516, 17527, 668, 19311, 16287, 16, 2588, 3227, 6563, 16536, 304, 282, 19262, 2557, 478, 618, 43983, 470, 477, 12932, 1409, 30, 23, 16, 367, 5287, 34694, 764, 1033, 2271, 3626, 16410, 1642, 1195, 478, 13467, 304, 470, 510, 1533, 30, 22, 18, 385, 1561, 6150, 30855, 33803, 873, 475, 1143, 11757, 5802, 349, 1807, 4698, 39061, 282, 9964, 18, 8038, 25474, 687, 4039, 16287, 16, 21166, 2497, 35798, 669, 472, 675, 607, 8074, 326, 726, 19595, 26654, 16, 374, 309, 10384, 1143, 16, 828, 329, 1524, 718, 478, 13781, 910, 2486, 6280, 435, 309, 1272, 7977, 1143, 18, 27252, 320, 1157, 33803, 1275, 478, 563, 455, 10347, 1614, 332, 512, 470, 3210, 17, 299, 7737, 3089, 1423, 5199, 16, 289, 475, 481, 281, 39067, 365, 2329, 2725, 19218, 4686, 309, 3059, 22028, 2989, 10722, 8300, 17799, 16, 367, 2512, 289, 749, 16192, 382, 289, 18, 262, 18, 967, 1169, 329, 12234, 873, 329, 7367, 1472, 1176, 445, 282, 39566, 8267, 281, 1702, 313, 1703, 478, 13781, 861, 985, 445, 1279, 1702, 17028, 478, 563, 455 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8697, 289, 505, 18352, 979, 282, 378, 1916, 1009, 16, 6177, 37673, 309, 17924, 10145, 428, 334, 2923, 43344, 16, 453, 289, 282, 42694, 2553, 840, 25840, 478, 18306, 861, 31535, 746, 16, 282, 1423, 3678, 16, 27415, 3947, 5552, 2990, 4676, 478, 660, 1645, 470, 478, 37075, 470, 309, 16127, 8697, 282, 8362, 16, 367, 1038, 10720, 17085, 7583, 3232, 412, 21316, 289, 722, 14369, 1608, 12588, 360, 2122, 1136, 312, 15418, 289, 3125, 10414, 18, 999, 3417, 9, 7024, 478, 684, 32306, 17792, 470, 478, 18306, 470, 5383, 4045, 4843, 21, 16, 2686, 16435, 9480, 6153, 1519, 282, 12611, 8902, 44257, 17213, 322, 2619, 1939, 5096, 2791, 473, 25807, 4843, 26, 4234, 3763, 334, 30593, 309, 10882, 814, 45633, 840, 3168, 4684, 309, 2706, 986, 18, 3569, 25258, 289, 11896, 1175, 39651, 5848, 9744, 281, 10196, 297, 9153, 355, 18, 478, 684, 32306, 17792, 470, 510, 46626, 285, 309, 5814, 43344, 16, 6177, 2303, 473, 280, 2446, 2024, 282, 6255, 348, 300, 363, 409, 2553, 4896, 2555, 18314, 31535, 746, 1715, 309, 3417, 9, 7334, 6286, 2712, 18, 824, 3761, 478, 684, 32306, 486, 431, 910, 13094, 33225, 43344, 4896, 2364, 14953, 3763, 34184, 16, 515, 28099, 722, 33412, 12073, 1472, 491, 9, 360, 35539, 18, 11819, 282, 31535, 4143, 15082, 305, 22389, 775, 18, 365, 4675, 808, 282, 43344, 4452, 478, 660, 2147, 470, 478, 37075, 470, 1180, 5266, 84, 1539, 12877, 16, 40836, 4497, 31727, 20226, 454, 309, 24258, 478, 684, 2167, 21259, 470, 289, 478, 24091, 3589, 4809, 326, 1508, 1032, 861, 2949, 924, 16, 282, 43344, 4452, 478, 18306, 11460, 861, 8919, 10376, 8390, 1195, 478, 684, 32306, 17792, 304, 470, 478, 18306, 272, 470, 6268, 709, 764, 281, 8311, 779, 18, 365, 5049, 1045, 478, 18306, 470, 289, 8808, 20923, 1880, 7064, 27875, 48169, 2540, 290, 38754, 724, 750, 334, 11135, 3281, 11993, 282, 4301, 36265, 2095, 7904, 28143, 11400, 478, 684, 32306, 17792, 861, 365, 10130, 1177, 1247, 11451, 6268, 709, 309, 38369, 6677, 478, 37075, 470, 14943, 9880, 8367, 281, 9444, 43344, 18, 365, 4018, 1045, 31535, 746, 1858, 10491, 294, 1335, 8540, 30, 4498, 1655, 7387, 1472, 290, 10952, 9, 690, 263, 16, 367, 26945, 478, 37075, 470, 2125, 898, 16122, 4843, 16041, 3763, 18, 478, 18306, 470, 11451, 47291, 2354, 294, 528, 15132, 43344, 16, 2686, 322, 939, 6218, 16, 4427, 8808, 20923, 1133, 2303, 12812, 6074, 6453, 7583, 3232, 412, 21316, 18, 365, 478, 7128, 293, 1725, 470, 360, 15841, 17245, 18, 478, 47566, 17826, 20630, 622, 24637, 8808, 20923, 680, 528, 15132, 541, 478, 37075, 470, 13284, 322, 4903, 324, 16, 453, 428, 1177, 5549, 30718, 9772, 16210, 286, 16, 510, 49644, 6187, 334, 10268, 7321, 282, 7338, 16879, 10015, 4341, 75, 1072, 18159, 2230, 15561, 18, 510, 2046, 322, 2353, 17309, 16, 374, 14852, 549, 478, 660, 2147, 470, 478, 37075, 470, 9225, 34034, 6688, 309, 25878, 547, 5814, 43344, 16, 289, 14729, 477, 1963, 47251, 2241, 840, 322, 48624, 861, 2949, 924, 16, 334, 3163, 2230, 15561, 16, 583, 478, 18306, 470, 12845, 2838, 289, 6197, 16, 515, 3655, 8275, 16, 2264, 10551, 14924, 411, 37753, 18, 824, 4734, 34361, 16, 371, 50114, 8808, 20923, 680, 528, 15132, 478, 18306, 470, 5138, 364, 411, 11065, 37906, 18, 478, 18306, 470, 322, 282, 2615, 445, 13309, 2170, 2409, 10035, 10969, 21569, 16, 510, 24344, 2615, 9541, 17, 22079, 16986, 11065, 8786, 6096, 25610, 2931, 18, 510, 29045, 1939, 5096, 2791, 8026, 5856, 17085, 510, 481, 24660, 349, 3038, 12903, 334, 11135, 8312, 10528, 282, 1789, 324, 409, 861, 6422, 16, 334, 3163, 25610, 8053, 16, 3771, 44951, 5750, 3675, 835, 11247, 15958, 43344, 567, 808, 35001, 4479, 779, 1717, 1548, 16, 374, 8851, 5037, 4000, 6001, 1496, 10810, 18377, 7656, 13204, 39614, 2689, 2127, 15122, 16, 3619, 33788, 8156, 16, 515, 1728, 1694, 282, 6031, 322, 281, 9262, 18, 2877, 575, 18276, 282, 2801, 1045, 2125, 12848, 9482, 43344, 18, 478, 5673, 452, 9988, 4119, 2678, 23925, 37133, 3480, 282, 34055, 1545, 5508, 16, 510, 2548, 25610, 2931, 18, 510, 31561, 322, 687, 24761, 16, 515, 289, 19833, 4871, 1175, 309, 2923, 16879, 18, 365, 4810, 16, 3771, 3957, 16, 753, 2553, 37536, 289, 20130, 11736, 8926, 282, 6491, 722, 7405, 16, 367, 322, 16, 3057, 16, 11612, 16, 25586, 7957, 282, 9804, 16, 3872, 7260, 16, 895, 4783, 506, 861, 2, 1, 87, 1456, 81, 2448, 30, 471, 563, 455, 10347, 1614, 332, 512, 470, 282, 290, 551, 6189, 482, 44065, 8955, 329, 29565, 18, 824, 8954, 7977, 329, 12234, 873, 15536, 414, 282, 1871, 15277, 919, 18, 27289, 28383, 7977, 1559, 3720, 28265, 1388, 16, 2581, 16786, 442, 305, 17, 1198, 635, 16, 282, 970, 2875, 289, 2566, 416, 15277, 3376, 18, 478, 50157, 266, 470, 309, 3177, 27027, 25469, 478, 3096, 399, 5497, 982, 454, 861, 31224, 30, 677, 46738, 8267, 42905, 2299, 282, 12013, 28604, 5222, 17370, 9964, 29565, 13694, 309, 3177, 27027, 478, 563, 455, 10347, 1614, 332, 512, 470, 289, 25469, 282, 290, 551, 6189, 482, 477, 12932, 1032, 30, 25, 18, 1870, 5983, 873, 322, 7737, 14046, 5068, 9239, 282, 2100, 9764, 35798, 2142, 472, 675, 1484, 1624, 32949, 3326, 567, 12241, 16279, 1119, 6067, 18, 1870, 5983, 873, 10258, 13729, 516, 17527, 668, 19311, 16287, 16, 2588, 3227, 6563, 16536, 304, 282, 19262, 2557, 478, 618, 43983, 470, 477, 12932, 1409, 30, 23, 16, 367, 5287, 34694, 764, 1033, 2271, 3626, 16410, 1642, 1195, 478, 13467, 304, 470, 510, 1533, 30, 22, 18, 385, 1561, 6150, 30855, 33803, 873, 475, 1143, 11757, 5802, 349, 1807, 4698, 39061, 282, 9964, 18, 8038, 25474, 687, 4039, 16287, 16, 21166, 2497, 35798, 669, 472, 675, 607, 8074, 326, 726, 19595, 26654, 16, 374, 309, 10384, 1143, 16, 828, 329, 1524, 718, 478, 13781, 910, 2486, 6280, 435, 309, 1272, 7977, 1143, 18, 27252, 320, 1157, 33803, 1275, 478, 563, 455, 10347, 1614, 332, 512, 470, 3210, 17, 299, 7737, 3089, 1423, 5199, 16, 289, 475, 481, 281, 39067, 365, 2329, 2725, 19218, 4686, 309, 3059, 22028, 2989, 10722, 8300, 17799, 16, 367, 2512, 289, 749, 16192, 382, 289, 18, 262, 18, 967, 1169, 329, 12234, 873, 329, 7367, 1472, 1176, 445, 282, 39566, 8267, 281, 1702, 313, 1703, 478, 13781, 861, 985, 445, 1279, 1702, 17028, 478, 563, 455 ]
[ 10347, 470, 7609, 1272, 7426, 7977, 510, 1642, 25469, 477, 12932, 430, 30, 22, 16, 367, 1248, 2846, 2299, 282, 47312, 329, 12234, 873, 726, 898, 7081, 510, 1032, 30, 22, 16, 334, 8954, 7977, 18042, 1063, 2239, 30, 22, 18, 3557, 3818, 16, 478, 563, 455, 10347, 1614, 332, 512, 470, 41828, 309, 13150, 4367, 1756, 17654, 9964, 16, 29575, 743, 478, 16563, 46356, 861, 365, 803, 11258, 1251, 1875, 4868, 906, 6280, 324, 2197, 4765, 18, 34165, 12665, 282, 47501, 16, 367, 29565, 50253, 17701, 510, 1032, 30, 22, 18, 4777, 31565, 33615, 329, 478, 27829, 1275, 470, 282, 8267, 281, 478, 563, 455, 342, 496, 1614, 332, 13432, 470, 282, 42947, 18, 365, 7426, 4256, 21273, 15014, 26869, 414, 1472, 1176, 445, 16, 581, 289, 502, 282, 290, 551, 6189, 482, 18, 25017, 575, 4570, 478, 563, 455, 10347, 1614, 332, 512, 470, 329, 1386, 364, 1421, 26654, 411, 5579, 17, 14723, 18, 34165, 12543, 281, 5514, 17701, 18, 640, 4056, 575, 20537, 7947, 8891, 1970, 14522, 46234, 424, 6972, 368, 27423, 378, 344, 6755, 1624, 515, 18319, 18719, 322, 10587, 24879, 319, 46234, 289, 46296, 2083, 541, 4744, 820, 18, 439, 1215, 10546, 31515, 29565, 282, 8267, 22588, 733, 1647, 339, 7889, 18, 7550, 38495, 1271, 350, 27758, 349, 34414, 289, 10587, 7351, 7163, 46234, 424, 6972, 368, 35026, 17500, 521, 14457, 1624, 1029, 281, 31811, 20010, 42530, 42808, 7889, 49811, 30110, 2169, 367, 18, 4852, 4038, 1879, 38495, 322, 10587, 18719, 15312, 334, 329, 12234, 1703, 24557, 567, 808, 26345, 669, 11248, 18, 3739, 1248, 4038, 1879, 30110, 2169, 281, 6525, 13879, 3064, 6972, 368, 8891, 22686, 360, 41727, 5625, 510, 44380, 10469, 424, 19027, 1086, 1728, 19671, 521, 16, 48253, 13375, 349, 360, 328, 368, 18, 608, 12234, 873, 575, 20137, 1793, 966, 4744, 1212, 11088, 43642, 19869, 510, 1034, 5459, 363, 508, 685, 309, 2468, 18, 439, 309, 2511, 20537, 4056, 10848, 25822, 382, 6729, 6434, 5745, 281, 45817, 19002, 18946, 46234, 282, 13757, 3675, 15268, 454, 7889, 478, 563, 455, 36291, 861, 12126, 1833, 575, 5184, 15277, 919, 9031, 23233, 309, 22596, 454, 10556, 1051, 16, 515, 6476, 294, 1763, 331, 9439, 15277, 636, 898, 13397, 873, 1011, 37919, 6452, 345, 44930, 365, 5944, 292, 1191, 379, 18, 24899, 575, 349, 1871, 7130, 11248, 687, 445, 46449, 925, 45326, 7889, 29565, 1011, 4744, 820, 1236, 266, 345, 378, 696, 881, 429, 18, 5403, 3675, 5728, 10485, 15014, 19521, 282, 24163, 1207, 1011, 5280, 891, 18061, 1870, 15011, 39970, 289, 14943, 41124, 1624, 515, 349, 481, 808, 329, 12234, 873, 10469, 687, 445, 46449, 649, 1034, 5459, 4172, 343, 1011, 4744, 820, 46850, 1483, 29180, 477, 11924, 23837, 18, 385, 2742, 6740, 10485, 478, 563, 455, 10347, 910, 1210, 1779, 8198, 3732, 16432, 16, 5883, 4619, 4024, 18, 11566, 16, 374, 289, 309, 1177, 445, 13397, 873, 8070, 387, 32259, 16, 515, 349, 2418, 7264, 519, 8421, 41124, 309, 6269, 329, 12234, 4287, 3225, 1763, 4475, 46234, 18, 24899, 22537, 282, 10717, 16, 1483, 14940, 3404, 9871, 424, 6972, 368, 28265, 1388, 329, 16, 5076, 49692, 9127, 285, 1270, 10406, 7125, 282, 6421, 7889, 1034, 5459, 4172, 343, 18, 459, 726, 282, 1078, 416, 31277, 8891, 1970, 757, 3424, 13342, 16432, 1360, 4966, 16, 515, 281, 505, 4744, 1212, 281, 4947, 282, 13090, 7046, 281, 16510, 6525, 28291, 30110, 2169, 18, 13350, 700, 15681, 6281, 282, 44899, 660, 4476, 3126, 19329, 16, 282, 2114, 40879, 310, 478, 563, 455, 10347, 861, 7909, 4239, 6520, 39791, 272, 49692, 37700, 6972, 368, 477, 11924, 23837, 510, 15277, 807, 44813, 2175, 13317, 282, 16966, 10406, 454, 1251, 33973, 9511, 289, 1034, 5459, 363, 7942, 18, 439, 1248, 1871, 7130, 4446, 7451, 4024, 16, 8023, 25474, 8198, 3732, 16432, 18, 28265, 1388, 281, 28065, 6456, 25165, 8462, 451, 9871, 309, 1793, 3675, 33973, 877, 16, 988, 7974, 40383, 394, 2931, 11623, 42530, 16246, 13757, 883, 6421, 18, 13057, 322, 8097, 282, 1335, 31277, 289, 18083, 15020, 5269, 1624, 1029, 1872, 315, 25521, 46234, 309, 40383, 394, 8053, 18, 1870, 5983, 1275, 1871, 40259, 1453, 9410, 15277, 919, 18021, 322, 6084, 3467, 18, 14179, 40627, 45204, 360, 41727, 5625, 16, 774, 34544, 685, 309, 2468, 18, 4541, 19886, 49726, 1870, 15011, 39970, 16, 1029, 2734, 322, 1768, 303, 7229, 46234, 282, 8999, 1974, 281, 30110, 280, 2509, 18, 2775, 42032, 24828, 49692, 289, 378, 344, 6755, 16, 515, 505, 6972, 368, 281, 16160, 416, 2038, 45059, 567, 19671, 521, 18, 7891, 42224, 4466, 2961, 13047, 16, 374, 3895, 322, 13748, 294, 16094, 11741, 1015, 582, 18, 40627, 289, 9746, 609, 4732, 639, 39247, 16, 515, 16044, 277, 3225, 46908, 17564, 289, 322, 15893, 37640, 553, 11220, 18, 9114, 445, 16452, 32908, 29565, 6984, 8198, 3732, 16432, 16, 567, 808, 1639, 16171, 1763, 4475, 6984, 15888, 16, 8891, 1970, 16, 378, 39589, 16, 365, 5944, 292, 1191, 526, 289, 1870, 15011, 20173, 16, 515, 15277, 807, 43450, 1116, 2175, 282, 4729, 10390, 17537, 322, 41714, 455, 282, 8999, 30110, 23372, 18, 608, 12234, 873, 16, 28812, 3171, 294, 2200, 24557, 16, 20137, 29869, 4744, 1212, 43642, 19869, 309, 529, 25882, 845, 20537, 6740, 10485, 16, 515, 15277, 807, 13668, 555, 282, 1402, 3314, 31897, 2244, 360, 33973, 607, 18, 29565, 5195, 45583, 16432, 16, 515, 349, 8427, 519, 949, 16946, 309, 23511, 28265, 1388, 282, 8384, 309, 478, 293, 35100, 4762, 470, 10587, 396, 6305, 8438, 46234, 5289, 13397, 718, 19671, 521, 18, 385, 16536, 536, 12932, 1032, 30, 20, 2992, 2849, 17060, 478, 563, 455, 10347, 861, 365, 15301, 29235, 4446, 34037, 2482, 24366, 24877, 29565, 16, 1143, 48731, 7892, 381, 25152, 10355, 7889, 16, 828, 381, 5514, 1408, 309, 19359, 18, 7409, 2849, 4726, 23379, 20943, 1738, 309, 5199, 13397, 1275, 16, 961, 1745, 322, 3005, 13848, 1033, 17, 25249, 25508, 13784, 18, 999, 5487, 2852, 1879, 14515, 1939, 17, 25822, 382, 15014, 2581, 2602, 1793, 5681, 4744, 9340, 5014, 40199, 718, 289, 378, 344, 1711, 18, 478, 563, 455, 10347, 470, 2715, 24627, 304, 28265, 7408, 16, 2024, 942, 7818, 12916, 28067, 1360, 4966, 282, 803, 8267, 16, 515, 1034, 5459, 363, 508, 28291, 281, 4744, 1212, 6816, 18, 29565, 5883, 4619, 4024, 16, 515, 8820, 549, 2117, 478, 563, 455, 36291, 470, 282, 25152, 7345, 1154, 309, 1003, 475, 8885, 21166, 2466, 472 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10347, 470, 7609, 1272, 7426, 7977, 510, 1642, 25469, 477, 12932, 430, 30, 22, 16, 367, 1248, 2846, 2299, 282, 47312, 329, 12234, 873, 726, 898, 7081, 510, 1032, 30, 22, 16, 334, 8954, 7977, 18042, 1063, 2239, 30, 22, 18, 3557, 3818, 16, 478, 563, 455, 10347, 1614, 332, 512, 470, 41828, 309, 13150, 4367, 1756, 17654, 9964, 16, 29575, 743, 478, 16563, 46356, 861, 365, 803, 11258, 1251, 1875, 4868, 906, 6280, 324, 2197, 4765, 18, 34165, 12665, 282, 47501, 16, 367, 29565, 50253, 17701, 510, 1032, 30, 22, 18, 4777, 31565, 33615, 329, 478, 27829, 1275, 470, 282, 8267, 281, 478, 563, 455, 342, 496, 1614, 332, 13432, 470, 282, 42947, 18, 365, 7426, 4256, 21273, 15014, 26869, 414, 1472, 1176, 445, 16, 581, 289, 502, 282, 290, 551, 6189, 482, 18, 25017, 575, 4570, 478, 563, 455, 10347, 1614, 332, 512, 470, 329, 1386, 364, 1421, 26654, 411, 5579, 17, 14723, 18, 34165, 12543, 281, 5514, 17701, 18, 640, 4056, 575, 20537, 7947, 8891, 1970, 14522, 46234, 424, 6972, 368, 27423, 378, 344, 6755, 1624, 515, 18319, 18719, 322, 10587, 24879, 319, 46234, 289, 46296, 2083, 541, 4744, 820, 18, 439, 1215, 10546, 31515, 29565, 282, 8267, 22588, 733, 1647, 339, 7889, 18, 7550, 38495, 1271, 350, 27758, 349, 34414, 289, 10587, 7351, 7163, 46234, 424, 6972, 368, 35026, 17500, 521, 14457, 1624, 1029, 281, 31811, 20010, 42530, 42808, 7889, 49811, 30110, 2169, 367, 18, 4852, 4038, 1879, 38495, 322, 10587, 18719, 15312, 334, 329, 12234, 1703, 24557, 567, 808, 26345, 669, 11248, 18, 3739, 1248, 4038, 1879, 30110, 2169, 281, 6525, 13879, 3064, 6972, 368, 8891, 22686, 360, 41727, 5625, 510, 44380, 10469, 424, 19027, 1086, 1728, 19671, 521, 16, 48253, 13375, 349, 360, 328, 368, 18, 608, 12234, 873, 575, 20137, 1793, 966, 4744, 1212, 11088, 43642, 19869, 510, 1034, 5459, 363, 508, 685, 309, 2468, 18, 439, 309, 2511, 20537, 4056, 10848, 25822, 382, 6729, 6434, 5745, 281, 45817, 19002, 18946, 46234, 282, 13757, 3675, 15268, 454, 7889, 478, 563, 455, 36291, 861, 12126, 1833, 575, 5184, 15277, 919, 9031, 23233, 309, 22596, 454, 10556, 1051, 16, 515, 6476, 294, 1763, 331, 9439, 15277, 636, 898, 13397, 873, 1011, 37919, 6452, 345, 44930, 365, 5944, 292, 1191, 379, 18, 24899, 575, 349, 1871, 7130, 11248, 687, 445, 46449, 925, 45326, 7889, 29565, 1011, 4744, 820, 1236, 266, 345, 378, 696, 881, 429, 18, 5403, 3675, 5728, 10485, 15014, 19521, 282, 24163, 1207, 1011, 5280, 891, 18061, 1870, 15011, 39970, 289, 14943, 41124, 1624, 515, 349, 481, 808, 329, 12234, 873, 10469, 687, 445, 46449, 649, 1034, 5459, 4172, 343, 1011, 4744, 820, 46850, 1483, 29180, 477, 11924, 23837, 18, 385, 2742, 6740, 10485, 478, 563, 455, 10347, 910, 1210, 1779, 8198, 3732, 16432, 16, 5883, 4619, 4024, 18, 11566, 16, 374, 289, 309, 1177, 445, 13397, 873, 8070, 387, 32259, 16, 515, 349, 2418, 7264, 519, 8421, 41124, 309, 6269, 329, 12234, 4287, 3225, 1763, 4475, 46234, 18, 24899, 22537, 282, 10717, 16, 1483, 14940, 3404, 9871, 424, 6972, 368, 28265, 1388, 329, 16, 5076, 49692, 9127, 285, 1270, 10406, 7125, 282, 6421, 7889, 1034, 5459, 4172, 343, 18, 459, 726, 282, 1078, 416, 31277, 8891, 1970, 757, 3424, 13342, 16432, 1360, 4966, 16, 515, 281, 505, 4744, 1212, 281, 4947, 282, 13090, 7046, 281, 16510, 6525, 28291, 30110, 2169, 18, 13350, 700, 15681, 6281, 282, 44899, 660, 4476, 3126, 19329, 16, 282, 2114, 40879, 310, 478, 563, 455, 10347, 861, 7909, 4239, 6520, 39791, 272, 49692, 37700, 6972, 368, 477, 11924, 23837, 510, 15277, 807, 44813, 2175, 13317, 282, 16966, 10406, 454, 1251, 33973, 9511, 289, 1034, 5459, 363, 7942, 18, 439, 1248, 1871, 7130, 4446, 7451, 4024, 16, 8023, 25474, 8198, 3732, 16432, 18, 28265, 1388, 281, 28065, 6456, 25165, 8462, 451, 9871, 309, 1793, 3675, 33973, 877, 16, 988, 7974, 40383, 394, 2931, 11623, 42530, 16246, 13757, 883, 6421, 18, 13057, 322, 8097, 282, 1335, 31277, 289, 18083, 15020, 5269, 1624, 1029, 1872, 315, 25521, 46234, 309, 40383, 394, 8053, 18, 1870, 5983, 1275, 1871, 40259, 1453, 9410, 15277, 919, 18021, 322, 6084, 3467, 18, 14179, 40627, 45204, 360, 41727, 5625, 16, 774, 34544, 685, 309, 2468, 18, 4541, 19886, 49726, 1870, 15011, 39970, 16, 1029, 2734, 322, 1768, 303, 7229, 46234, 282, 8999, 1974, 281, 30110, 280, 2509, 18, 2775, 42032, 24828, 49692, 289, 378, 344, 6755, 16, 515, 505, 6972, 368, 281, 16160, 416, 2038, 45059, 567, 19671, 521, 18, 7891, 42224, 4466, 2961, 13047, 16, 374, 3895, 322, 13748, 294, 16094, 11741, 1015, 582, 18, 40627, 289, 9746, 609, 4732, 639, 39247, 16, 515, 16044, 277, 3225, 46908, 17564, 289, 322, 15893, 37640, 553, 11220, 18, 9114, 445, 16452, 32908, 29565, 6984, 8198, 3732, 16432, 16, 567, 808, 1639, 16171, 1763, 4475, 6984, 15888, 16, 8891, 1970, 16, 378, 39589, 16, 365, 5944, 292, 1191, 526, 289, 1870, 15011, 20173, 16, 515, 15277, 807, 43450, 1116, 2175, 282, 4729, 10390, 17537, 322, 41714, 455, 282, 8999, 30110, 23372, 18, 608, 12234, 873, 16, 28812, 3171, 294, 2200, 24557, 16, 20137, 29869, 4744, 1212, 43642, 19869, 309, 529, 25882, 845, 20537, 6740, 10485, 16, 515, 15277, 807, 13668, 555, 282, 1402, 3314, 31897, 2244, 360, 33973, 607, 18, 29565, 5195, 45583, 16432, 16, 515, 349, 8427, 519, 949, 16946, 309, 23511, 28265, 1388, 282, 8384, 309, 478, 293, 35100, 4762, 470, 10587, 396, 6305, 8438, 46234, 5289, 13397, 718, 19671, 521, 18, 385, 16536, 536, 12932, 1032, 30, 20, 2992, 2849, 17060, 478, 563, 455, 10347, 861, 365, 15301, 29235, 4446, 34037, 2482, 24366, 24877, 29565, 16, 1143, 48731, 7892, 381, 25152, 10355, 7889, 16, 828, 381, 5514, 1408, 309, 19359, 18, 7409, 2849, 4726, 23379, 20943, 1738, 309, 5199, 13397, 1275, 16, 961, 1745, 322, 3005, 13848, 1033, 17, 25249, 25508, 13784, 18, 999, 5487, 2852, 1879, 14515, 1939, 17, 25822, 382, 15014, 2581, 2602, 1793, 5681, 4744, 9340, 5014, 40199, 718, 289, 378, 344, 1711, 18, 478, 563, 455, 10347, 470, 2715, 24627, 304, 28265, 7408, 16, 2024, 942, 7818, 12916, 28067, 1360, 4966, 282, 803, 8267, 16, 515, 1034, 5459, 363, 508, 28291, 281, 4744, 1212, 6816, 18, 29565, 5883, 4619, 4024, 16, 515, 8820, 549, 2117, 478, 563, 455, 36291, 470, 282, 25152, 7345, 1154, 309, 1003, 475, 8885, 21166, 2466, 472 ]
[ 675, 607, 18, 459, 475, 575, 50172, 349, 1533, 1879, 519, 3915, 10485, 3225, 2859, 43048, 319, 3441, 46234, 18, 42550, 276, 36129, 309, 5335, 15803, 8045, 5539, 1624, 5076, 49692, 16960, 6972, 368, 360, 41727, 5625, 18, 30110, 2169, 6175, 4744, 820, 322, 3189, 289, 1634, 17815, 9227, 322, 2564, 18, 12126, 1833, 309, 5335, 668, 10839, 20727, 6434, 5745, 16, 3230, 10773, 20703, 16480, 30110, 2169, 18, 29565, 309, 1262, 26188, 5883, 4619, 4024, 16, 515, 519, 22711, 25592, 1743, 453, 289, 322, 4388, 857, 18, 999, 5728, 519, 949, 16946, 472, 17159, 4445, 44368, 17, 766, 289, 11368, 281, 4466, 1034, 5459, 4172, 343, 16, 374, 282, 6031, 42517, 1617, 21330, 18, 2112, 31934, 4744, 820, 329, 7889, 30110, 23372, 14575, 5033, 41061, 16, 282, 1754, 28361, 412, 968, 7842, 4167, 21472, 421, 1701, 286, 29499, 1624, 477, 2992, 9868, 396, 6305, 10837, 1779, 46234, 282, 8999, 18, 365, 290, 551, 6189, 482, 4966, 19785, 322, 23301, 289, 3903, 16, 374, 8945, 7756, 4398, 17033, 390, 2596, 28940, 326, 712, 322, 9553, 18, 459, 349, 36670, 7130, 519, 9512, 290, 551, 6189, 429, 329, 12234, 873, 34447, 282, 13090, 10967, 282, 14511, 10717, 289, 36129, 309, 5335, 28265, 7408, 16, 6972, 368, 2024, 4167, 40921, 18, 478, 50157, 266, 470, 19625, 1423, 1533, 17, 7821, 48305, 2566, 668, 19311, 282, 12013, 28604, 16, 42969, 309, 1360, 14597, 478, 3096, 399, 5497, 982, 454, 470, 477, 12932, 491, 30, 24, 18, 365, 5572, 29235, 4446, 21648, 1763, 4475, 1871, 15277, 919, 16, 1619, 6676, 4744, 1465, 6776, 414, 309, 1595, 2948, 12055, 421, 713, 288, 3690, 289, 16922, 13616, 288, 512, 18, 478, 50157, 266, 470, 764, 282, 5572, 29235, 31273, 26351, 405, 34734, 1790, 7876, 289, 30236, 17503, 401, 2564, 2948, 3221, 2795, 16, 515, 2915, 1763, 7092, 687, 6387, 404, 1876, 873, 18, 365, 8151, 2992, 10848, 25822, 382, 14179, 41921, 23009, 478, 3096, 399, 5497, 982, 273, 470, 4024, 16, 367, 349, 2287, 7264, 519, 9512, 11202, 10485, 19432, 1312, 1497, 333, 42530, 726, 24362, 8999, 29343, 416, 4966, 18, 33736, 978, 289, 1888, 16287, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 2124, 31940, 1809, 35297, 18389, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 12013, 5538, 282, 49144, 567, 2992, 1119, 19702, 20925, 1175, 43850, 12620, 16, 30293, 289, 1871, 7610, 936, 18, 365, 17494, 1484, 309, 29323, 4995, 38552, 9409, 20990, 8053, 16, 367, 594, 2508, 2394, 7923, 5544, 612, 3733, 12507, 1034, 8939, 2325, 289, 3180, 8464, 871, 572, 16095, 459, 48710, 12362, 10544, 7005, 282, 24087, 289, 38410, 16586, 1133, 9427, 6773, 18, 31224, 30, 1140, 347, 695, 541, 5781, 3257, 766, 1123, 291, 2031, 811, 2992, 1119, 7561, 5538, 16, 2972, 6090, 282, 49144, 18, 18098, 451, 920, 375, 309, 14557, 1212, 26225, 282, 11147, 19030, 7199, 9409, 20990, 8053, 18, 9833, 418, 312, 496, 282, 803, 17494, 1484, 40741, 16278, 4041, 343, 10319, 1192, 1532, 287, 18, 27252, 320, 2203, 726, 309, 46144, 7150, 387, 6305, 15096, 722, 309, 41822, 3255, 25665, 18, 18853, 2411, 36486, 24117, 1595, 7834, 18, 26963, 18, 3417, 308, 18, 430, 18, 27655, 399, 36436, 305, 269, 651, 1533, 16, 8174, 18, 491, 18, 29726, 5014, 405, 473, 10478, 651, 18211, 13, 651, 1533, 16, 2783, 18, 816, 18, 9783, 711, 1000, 8175, 488, 391, 554, 298, 473, 40855, 546, 4653, 13, 651, 1533, 16, 3420, 18, 15191, 1919, 18, 430, 18, 6873, 611, 1277, 10071, 8029, 473, 1659, 1521, 746, 13, 651, 26593, 16, 11327, 18, 491, 18, 16095, 459, 48710, 473, 11825, 13, 651, 26593, 16, 6091, 18, 816, 18, 16720, 8882, 307, 262, 473, 1182, 375, 4472, 4879, 13, 651, 23902, 16, 15009, 18, 24403, 345, 1184, 1919, 18, 430, 18, 3551, 43878, 4671, 286, 44349, 292, 473, 44495, 13, 651, 1488, 8042, 28, 12994, 18, 491, 18, 6096, 1241, 26414, 609, 473, 23441, 13, 651, 26593, 6568, 18, 816, 18, 12507, 1034, 454, 987, 512, 473, 11825, 13, 651, 23902, 1618, 18, 14013, 23263, 1042, 34437, 16, 9829, 8474, 332, 3536, 473, 10524, 651, 3771, 13, 322, 22607, 460, 4110, 18, 24028, 18, 3417, 308, 18, 430, 18, 459, 577, 586, 36484, 473, 49988, 486, 1183, 13, 651, 2287, 16, 6862, 18, 491, 18, 10563, 330, 8281, 292, 473, 23441, 13, 651, 2287, 16, 8976, 18, 816, 18, 30799, 22982, 4173, 1287, 473, 33376, 342, 13, 651, 2287, 16, 8976, 655, 1061, 18, 9409, 4377, 8053, 473, 11825, 13, 651, 2287, 16, 9869, 18, 29323, 308, 18, 430, 18, 9409, 20990, 8053, 473, 11825, 13, 651, 1760, 18, 3572, 16, 6695, 18, 491, 18, 24158, 28468, 5269, 473, 23441, 13, 651, 1760, 18, 2783, 16, 8696, 18, 816, 18, 10319, 1192, 1532, 287, 473, 672, 8546, 6737, 274, 13, 651, 1760, 18, 2783, 16, 8365, 655, 1409, 18, 16974, 3874, 2659, 342, 473, 11825, 13, 651, 1760, 18, 1618, 16, 8042, 18, 34047, 18, 430, 18, 28888, 16825, 1232, 473, 732, 14061, 542, 13, 651, 430, 16, 16492, 18, 491, 18, 21472, 9787, 388, 5945, 473, 40855, 546, 4653, 13, 651, 430, 16, 16492, 18, 816, 18, 11658, 3584, 476, 3583, 473, 11825, 934, 33633, 22982, 457, 12193, 331, 473, 1464, 546, 783, 934, 10261, 768, 1412, 669, 473, 23441, 13, 651, 334, 430, 16, 16299, 18, 22376, 18, 430, 18, 625, 3704, 265, 17546, 5159, 473, 14792, 783, 13, 651, 1286, 16, 18637, 18, 491, 18, 9409, 25874, 756, 473, 983, 6316, 2750, 13, 651, 1286, 16, 12281, 18, 816, 18, 2101, 297, 1637, 20609, 285, 628, 473, 40855, 546, 4653, 13, 651, 1286, 16, 14746, 655, 1658, 18, 16974, 450, 3795, 3583, 473, 11825, 13, 651, 1286, 16, 5041, 18, 824, 8954, 23837, 1192, 1532, 287, 10956, 282, 19802, 16, 289, 16, 3903, 16, 722, 726, 322, 11011, 18, 2681, 309, 22607, 301, 1143, 1333, 3085, 3391, 19186, 1046, 13083, 1042, 18, 6434, 18871, 309, 7426, 19778, 23837, 5568, 6131, 1484, 12620, 18, 478, 22012, 453, 7376, 3010, 17960, 322, 281, 20211, 16, 376, 7332, 1694, 14007, 382, 5538, 2144, 1072, 4919, 8816, 5717, 18, 3758, 18, 651, 33374, 701, 25941, 1519, 281, 5606, 4995, 23837, 16, 515, 6287, 17494, 486, 639, 1962, 8085, 18, 18853, 2693, 10790, 334, 2992, 30363, 289, 5840, 506, 309, 3393, 668, 10839, 18, 640 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 675, 607, 18, 459, 475, 575, 50172, 349, 1533, 1879, 519, 3915, 10485, 3225, 2859, 43048, 319, 3441, 46234, 18, 42550, 276, 36129, 309, 5335, 15803, 8045, 5539, 1624, 5076, 49692, 16960, 6972, 368, 360, 41727, 5625, 18, 30110, 2169, 6175, 4744, 820, 322, 3189, 289, 1634, 17815, 9227, 322, 2564, 18, 12126, 1833, 309, 5335, 668, 10839, 20727, 6434, 5745, 16, 3230, 10773, 20703, 16480, 30110, 2169, 18, 29565, 309, 1262, 26188, 5883, 4619, 4024, 16, 515, 519, 22711, 25592, 1743, 453, 289, 322, 4388, 857, 18, 999, 5728, 519, 949, 16946, 472, 17159, 4445, 44368, 17, 766, 289, 11368, 281, 4466, 1034, 5459, 4172, 343, 16, 374, 282, 6031, 42517, 1617, 21330, 18, 2112, 31934, 4744, 820, 329, 7889, 30110, 23372, 14575, 5033, 41061, 16, 282, 1754, 28361, 412, 968, 7842, 4167, 21472, 421, 1701, 286, 29499, 1624, 477, 2992, 9868, 396, 6305, 10837, 1779, 46234, 282, 8999, 18, 365, 290, 551, 6189, 482, 4966, 19785, 322, 23301, 289, 3903, 16, 374, 8945, 7756, 4398, 17033, 390, 2596, 28940, 326, 712, 322, 9553, 18, 459, 349, 36670, 7130, 519, 9512, 290, 551, 6189, 429, 329, 12234, 873, 34447, 282, 13090, 10967, 282, 14511, 10717, 289, 36129, 309, 5335, 28265, 7408, 16, 6972, 368, 2024, 4167, 40921, 18, 478, 50157, 266, 470, 19625, 1423, 1533, 17, 7821, 48305, 2566, 668, 19311, 282, 12013, 28604, 16, 42969, 309, 1360, 14597, 478, 3096, 399, 5497, 982, 454, 470, 477, 12932, 491, 30, 24, 18, 365, 5572, 29235, 4446, 21648, 1763, 4475, 1871, 15277, 919, 16, 1619, 6676, 4744, 1465, 6776, 414, 309, 1595, 2948, 12055, 421, 713, 288, 3690, 289, 16922, 13616, 288, 512, 18, 478, 50157, 266, 470, 764, 282, 5572, 29235, 31273, 26351, 405, 34734, 1790, 7876, 289, 30236, 17503, 401, 2564, 2948, 3221, 2795, 16, 515, 2915, 1763, 7092, 687, 6387, 404, 1876, 873, 18, 365, 8151, 2992, 10848, 25822, 382, 14179, 41921, 23009, 478, 3096, 399, 5497, 982, 273, 470, 4024, 16, 367, 349, 2287, 7264, 519, 9512, 11202, 10485, 19432, 1312, 1497, 333, 42530, 726, 24362, 8999, 29343, 416, 4966, 18, 33736, 978, 289, 1888, 16287, 16, 367, 1038, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 2124, 31940, 1809, 35297, 18389, 18, 2, 1, 87, 1456, 81, 2448, 30, 2176, 12013, 5538, 282, 49144, 567, 2992, 1119, 19702, 20925, 1175, 43850, 12620, 16, 30293, 289, 1871, 7610, 936, 18, 365, 17494, 1484, 309, 29323, 4995, 38552, 9409, 20990, 8053, 16, 367, 594, 2508, 2394, 7923, 5544, 612, 3733, 12507, 1034, 8939, 2325, 289, 3180, 8464, 871, 572, 16095, 459, 48710, 12362, 10544, 7005, 282, 24087, 289, 38410, 16586, 1133, 9427, 6773, 18, 31224, 30, 1140, 347, 695, 541, 5781, 3257, 766, 1123, 291, 2031, 811, 2992, 1119, 7561, 5538, 16, 2972, 6090, 282, 49144, 18, 18098, 451, 920, 375, 309, 14557, 1212, 26225, 282, 11147, 19030, 7199, 9409, 20990, 8053, 18, 9833, 418, 312, 496, 282, 803, 17494, 1484, 40741, 16278, 4041, 343, 10319, 1192, 1532, 287, 18, 27252, 320, 2203, 726, 309, 46144, 7150, 387, 6305, 15096, 722, 309, 41822, 3255, 25665, 18, 18853, 2411, 36486, 24117, 1595, 7834, 18, 26963, 18, 3417, 308, 18, 430, 18, 27655, 399, 36436, 305, 269, 651, 1533, 16, 8174, 18, 491, 18, 29726, 5014, 405, 473, 10478, 651, 18211, 13, 651, 1533, 16, 2783, 18, 816, 18, 9783, 711, 1000, 8175, 488, 391, 554, 298, 473, 40855, 546, 4653, 13, 651, 1533, 16, 3420, 18, 15191, 1919, 18, 430, 18, 6873, 611, 1277, 10071, 8029, 473, 1659, 1521, 746, 13, 651, 26593, 16, 11327, 18, 491, 18, 16095, 459, 48710, 473, 11825, 13, 651, 26593, 16, 6091, 18, 816, 18, 16720, 8882, 307, 262, 473, 1182, 375, 4472, 4879, 13, 651, 23902, 16, 15009, 18, 24403, 345, 1184, 1919, 18, 430, 18, 3551, 43878, 4671, 286, 44349, 292, 473, 44495, 13, 651, 1488, 8042, 28, 12994, 18, 491, 18, 6096, 1241, 26414, 609, 473, 23441, 13, 651, 26593, 6568, 18, 816, 18, 12507, 1034, 454, 987, 512, 473, 11825, 13, 651, 23902, 1618, 18, 14013, 23263, 1042, 34437, 16, 9829, 8474, 332, 3536, 473, 10524, 651, 3771, 13, 322, 22607, 460, 4110, 18, 24028, 18, 3417, 308, 18, 430, 18, 459, 577, 586, 36484, 473, 49988, 486, 1183, 13, 651, 2287, 16, 6862, 18, 491, 18, 10563, 330, 8281, 292, 473, 23441, 13, 651, 2287, 16, 8976, 18, 816, 18, 30799, 22982, 4173, 1287, 473, 33376, 342, 13, 651, 2287, 16, 8976, 655, 1061, 18, 9409, 4377, 8053, 473, 11825, 13, 651, 2287, 16, 9869, 18, 29323, 308, 18, 430, 18, 9409, 20990, 8053, 473, 11825, 13, 651, 1760, 18, 3572, 16, 6695, 18, 491, 18, 24158, 28468, 5269, 473, 23441, 13, 651, 1760, 18, 2783, 16, 8696, 18, 816, 18, 10319, 1192, 1532, 287, 473, 672, 8546, 6737, 274, 13, 651, 1760, 18, 2783, 16, 8365, 655, 1409, 18, 16974, 3874, 2659, 342, 473, 11825, 13, 651, 1760, 18, 1618, 16, 8042, 18, 34047, 18, 430, 18, 28888, 16825, 1232, 473, 732, 14061, 542, 13, 651, 430, 16, 16492, 18, 491, 18, 21472, 9787, 388, 5945, 473, 40855, 546, 4653, 13, 651, 430, 16, 16492, 18, 816, 18, 11658, 3584, 476, 3583, 473, 11825, 934, 33633, 22982, 457, 12193, 331, 473, 1464, 546, 783, 934, 10261, 768, 1412, 669, 473, 23441, 13, 651, 334, 430, 16, 16299, 18, 22376, 18, 430, 18, 625, 3704, 265, 17546, 5159, 473, 14792, 783, 13, 651, 1286, 16, 18637, 18, 491, 18, 9409, 25874, 756, 473, 983, 6316, 2750, 13, 651, 1286, 16, 12281, 18, 816, 18, 2101, 297, 1637, 20609, 285, 628, 473, 40855, 546, 4653, 13, 651, 1286, 16, 14746, 655, 1658, 18, 16974, 450, 3795, 3583, 473, 11825, 13, 651, 1286, 16, 5041, 18, 824, 8954, 23837, 1192, 1532, 287, 10956, 282, 19802, 16, 289, 16, 3903, 16, 722, 726, 322, 11011, 18, 2681, 309, 22607, 301, 1143, 1333, 3085, 3391, 19186, 1046, 13083, 1042, 18, 6434, 18871, 309, 7426, 19778, 23837, 5568, 6131, 1484, 12620, 18, 478, 22012, 453, 7376, 3010, 17960, 322, 281, 20211, 16, 376, 7332, 1694, 14007, 382, 5538, 2144, 1072, 4919, 8816, 5717, 18, 3758, 18, 651, 33374, 701, 25941, 1519, 281, 5606, 4995, 23837, 16, 515, 6287, 17494, 486, 639, 1962, 8085, 18, 18853, 2693, 10790, 334, 2992, 30363, 289, 5840, 506, 309, 3393, 668, 10839, 18, 640 ]
[ 20228, 411, 8508, 1017, 3784, 16, 785, 24152, 18007, 8751, 2992, 1951, 2825, 16, 6021, 30, 1800, 2447, 20850, 861, 43929, 315, 12679, 282, 49144, 1939, 17, 7745, 3180, 8464, 871, 572, 411, 41182, 16095, 459, 48710, 18, 817, 8602, 14403, 16, 374, 7639, 965, 17960, 322, 282, 1360, 46901, 282, 3709, 25858, 281, 7071, 9917, 4868, 16, 428, 5251, 268, 457, 1960, 8027, 273, 2078, 25613, 289, 2281, 546, 46787, 6288, 562, 8117, 273, 696, 280, 5945, 1624, 1639, 3255, 3189, 687, 334, 32224, 18, 2681, 764, 282, 17139, 282, 4056, 575, 20701, 16095, 22930, 3655, 17154, 15513, 16, 367, 282, 23376, 6973, 364, 505, 18, 47446, 6933, 10553, 1388, 2906, 7709, 3486, 560, 16, 289, 1472, 13531, 699, 46474, 326, 7179, 41816, 360, 16616, 4027, 651, 3291, 890, 6873, 501, 16197, 10071, 8029, 18, 49308, 392, 3225, 11960, 16586, 778, 9427, 659, 16, 289, 1441, 492, 2397, 9700, 8662, 282, 15243, 282, 1750, 27842, 11815, 309, 12013, 1175, 18, 7720, 1838, 706, 16586, 778, 9427, 659, 289, 5544, 1184, 1159, 8450, 263, 1034, 8939, 2325, 272, 16, 45662, 12640, 282, 49144, 7610, 6637, 18, 478, 24868, 5897, 5966, 7595, 4696, 16, 17494, 3924, 309, 23288, 4995, 16, 784, 7299, 16, 374, 1513, 13556, 1676, 988, 17, 299, 349, 1032, 16, 8976, 16, 753, 27714, 1488, 4003, 12994, 289, 11960, 16586, 778, 9427, 659, 16, 376, 15875, 1034, 8939, 25113, 2144, 1072, 4919, 8816, 5717, 18, 3758, 18, 651, 967, 803, 1513, 639, 764, 289, 18326, 1756, 8969, 18, 365, 4784, 16, 1628, 40715, 349, 5512, 6146, 2855, 289, 21808, 9146, 861, 365, 17386, 1165, 282, 17936, 28784, 5108, 3412, 6295, 18, 13268, 1421, 11471, 382, 10016, 538, 3010, 454, 309, 13179, 4105, 8428, 18, 18487, 22625, 16174, 1038, 5823, 7077, 26811, 16, 289, 1514, 28950, 898, 7153, 4633, 19543, 1505, 19650, 18, 365, 803, 1421, 262, 5915, 289, 11658, 3584, 476, 3583, 1624, 1586, 322, 35134, 455, 29534, 18, 478, 15883, 329, 703, 1329, 322, 19846, 16, 376, 7332, 1694, 3584, 476, 3643, 2144, 1072, 4919, 8816, 5717, 18, 3758, 18, 651, 985, 2521, 322, 417, 5640, 13263, 18, 3923, 16, 14802, 651, 481, 14802, 16, 515, 16511, 6993, 7571, 324, 18, 640, 11511, 3368, 3490, 322, 15537, 16, 784, 492, 5773, 322, 37066, 861, 365, 3541, 547, 349, 15656, 1011, 1949, 2868, 10933, 3257, 766, 23249, 21860, 11464, 1756, 16, 16017, 274, 41943, 282, 1069, 12925, 1272, 13902, 4657, 395, 18, 22405, 281, 4778, 13280, 289, 16264, 688, 992, 17, 11622, 942, 309, 7759, 29051, 6961, 7928, 18, 2, 1, 87, 1456, 81, 2448, 30, 10245, 1144, 448, 20829, 282, 1175, 281, 430, 4238, 16597, 440, 8394, 309, 491, 5999, 365, 11099, 334, 4008, 4162, 2567, 28029, 14481, 1658, 6475, 26, 2791, 282, 5004, 18, 3791, 35471, 4162, 8347, 45792, 541, 27019, 281, 10623, 289, 9163, 1888, 25455, 2954, 18, 824, 35854, 395, 1524, 28085, 347, 16, 13367, 2413, 6050, 2364, 1032, 3763, 1135, 18, 31224, 30, 10245, 1144, 448, 20829, 282, 1175, 281, 430, 4238, 26652, 487, 309, 491, 5999, 365, 10488, 668, 41826, 5836, 13098, 19134, 840, 24960, 360, 23190, 5791, 289, 30116, 282, 1169, 23911, 16, 515, 282, 11099, 32935, 4535, 2750, 334, 23406, 4040, 1143, 309, 1281, 22, 10597, 18, 31509, 4162, 1574, 20829, 14481, 1658, 4016, 26, 2791, 282, 5004, 18, 2949, 924, 16, 428, 4419, 4437, 9529, 282, 39166, 547, 4328, 476, 1175, 473, 672, 37416, 13, 1624, 16597, 39380, 2413, 6050, 8347, 45792, 9563, 17, 47147, 4304, 289, 11915, 4304, 10623, 907, 3463, 18, 1787, 1335, 9044, 4162, 28029, 840, 2957, 928, 309, 4016, 28, 289, 48360, 2791, 8774, 18, 2112, 11897, 5024, 9044, 2954, 1747, 9038, 334, 2511, 26, 12281, 10597, 289, 2511, 47739, 2791, 282, 11099, 334, 4008, 18, 7106, 16, 374, 5938, 31498, 2407, 16, 32935, 4535, 2750, 334, 23406, 3029, 3151, 22360, 16, 5575, 1757, 45452, 6764, 16, 515, 334, 4080, 17, 3697, 12150, 322, 45828, 5583, 594, 626, 541, 7358, 32119, 20829, 18, 9873, 978, 16, 2990, 309, 33085, 22893, 334, 23406, 4247, 7190, 2950, 27867, 9768, 38044, 30, 481, 6052, 16, 5575, 1527, 12911, 986, 16, 289, 4109, 16, 5575, 1527, 3610, 986, 18, 31886, 448, 20829, 1038, 1698, 9038, 28872, 14429, 289, 3247, 749, 31378, 16, 3857, 6232, 10307, 282, 1175, 322, 2619, 1760, 986, 289, 5575, 1527, 45452, 6764, 18, 31886, 549, 4535, 2750, 334, 28357, 617, 3029, 3151, 11915, 4304, 281, 10623, 16, 9563, 17, 47147, 4304, 18, 31886, 668, 22893, 334, 24101, 39742, 526, 613, 12486, 4272, 519, 1281, 986, 16, 18866, 1527, 2236, 670, 1949, 6975, 16, 367, 1038, 14429, 11716, 1281, 986, 16, 12287, 5800, 290, 695, 16, 4272, 3826, 1027, 1436, 17, 39963, 1645, 18, 31886, 668, 22893, 1038, 12486, 4272, 17, 440, 331, 548, 18, 32354, 1979, 8347, 45792, 282, 4008, 19423, 282, 4301, 8266, 23625, 4162, 2567, 28029, 519, 4999, 6232, 21251, 37158, 9501, 665, 18, 3863, 15497, 15773, 282, 6099, 360, 5791, 16, 2686, 24385, 289, 22434, 334, 4008, 35037, 18, 365, 11826, 1045, 16, 334, 3761, 3569, 28085, 347, 16, 1177, 15497, 685, 12642, 309, 5066, 1488, 8725, 23, 10597, 16, 282, 7847, 1045, 376, 26593, 3114, 2791, 18, 3557, 293, 7019, 12076, 491, 7418, 6934, 289, 4162, 16597, 24574, 45792, 18, 365, 3569, 28085, 476, 4419, 36562, 16, 374, 282, 2630, 281, 45971, 2206, 281, 430, 4238, 26155, 779, 8347, 45792, 4933, 898, 2957, 4633, 20829, 334, 1403, 14073, 9501, 1147, 27469, 18133, 16, 2972, 17941, 18022, 9324, 334, 9130, 2594, 16, 20829, 7032, 697, 4481, 16, 20829, 541, 18581, 282, 3198, 3060, 317, 1378, 670, 21570, 4568, 8569, 399, 289, 20829, 7032, 697, 4481, 16, 9501, 448, 19134, 6367, 9421, 11345, 2793, 16, 20829, 541, 9361, 2294, 21773, 478, 2997, 10294, 4781, 1117, 434, 35502, 910, 20829, 9657, 986, 315, 17, 45491, 5434, 9536, 16, 282, 970, 2875, 1195, 4622, 382, 294, 9501, 536, 6524, 2675, 349, 387, 2987, 877, 986, 22360, 411, 7619, 23075, 712, 18, 32354, 1979, 309, 491, 9, 4729, 6961, 20829, 281, 430, 4238, 4360, 23318, 26387, 15442, 1188, 9501, 7923, 16, 3279, 2003, 43024, 19134, 16, 5938, 7019, 334, 29251, 16, 2091, 16, 6591, 6575, 2110, 16, 515, 492, 912, 16, 10050, 6187, 3281, 4454, 680, 5324, 11828, 478, 14808, 1098, 8283, 42621, 2272, 470, 4210, 9232, 337, 2947, 778, 18, 1178, 3111, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20228, 411, 8508, 1017, 3784, 16, 785, 24152, 18007, 8751, 2992, 1951, 2825, 16, 6021, 30, 1800, 2447, 20850, 861, 43929, 315, 12679, 282, 49144, 1939, 17, 7745, 3180, 8464, 871, 572, 411, 41182, 16095, 459, 48710, 18, 817, 8602, 14403, 16, 374, 7639, 965, 17960, 322, 282, 1360, 46901, 282, 3709, 25858, 281, 7071, 9917, 4868, 16, 428, 5251, 268, 457, 1960, 8027, 273, 2078, 25613, 289, 2281, 546, 46787, 6288, 562, 8117, 273, 696, 280, 5945, 1624, 1639, 3255, 3189, 687, 334, 32224, 18, 2681, 764, 282, 17139, 282, 4056, 575, 20701, 16095, 22930, 3655, 17154, 15513, 16, 367, 282, 23376, 6973, 364, 505, 18, 47446, 6933, 10553, 1388, 2906, 7709, 3486, 560, 16, 289, 1472, 13531, 699, 46474, 326, 7179, 41816, 360, 16616, 4027, 651, 3291, 890, 6873, 501, 16197, 10071, 8029, 18, 49308, 392, 3225, 11960, 16586, 778, 9427, 659, 16, 289, 1441, 492, 2397, 9700, 8662, 282, 15243, 282, 1750, 27842, 11815, 309, 12013, 1175, 18, 7720, 1838, 706, 16586, 778, 9427, 659, 289, 5544, 1184, 1159, 8450, 263, 1034, 8939, 2325, 272, 16, 45662, 12640, 282, 49144, 7610, 6637, 18, 478, 24868, 5897, 5966, 7595, 4696, 16, 17494, 3924, 309, 23288, 4995, 16, 784, 7299, 16, 374, 1513, 13556, 1676, 988, 17, 299, 349, 1032, 16, 8976, 16, 753, 27714, 1488, 4003, 12994, 289, 11960, 16586, 778, 9427, 659, 16, 376, 15875, 1034, 8939, 25113, 2144, 1072, 4919, 8816, 5717, 18, 3758, 18, 651, 967, 803, 1513, 639, 764, 289, 18326, 1756, 8969, 18, 365, 4784, 16, 1628, 40715, 349, 5512, 6146, 2855, 289, 21808, 9146, 861, 365, 17386, 1165, 282, 17936, 28784, 5108, 3412, 6295, 18, 13268, 1421, 11471, 382, 10016, 538, 3010, 454, 309, 13179, 4105, 8428, 18, 18487, 22625, 16174, 1038, 5823, 7077, 26811, 16, 289, 1514, 28950, 898, 7153, 4633, 19543, 1505, 19650, 18, 365, 803, 1421, 262, 5915, 289, 11658, 3584, 476, 3583, 1624, 1586, 322, 35134, 455, 29534, 18, 478, 15883, 329, 703, 1329, 322, 19846, 16, 376, 7332, 1694, 3584, 476, 3643, 2144, 1072, 4919, 8816, 5717, 18, 3758, 18, 651, 985, 2521, 322, 417, 5640, 13263, 18, 3923, 16, 14802, 651, 481, 14802, 16, 515, 16511, 6993, 7571, 324, 18, 640, 11511, 3368, 3490, 322, 15537, 16, 784, 492, 5773, 322, 37066, 861, 365, 3541, 547, 349, 15656, 1011, 1949, 2868, 10933, 3257, 766, 23249, 21860, 11464, 1756, 16, 16017, 274, 41943, 282, 1069, 12925, 1272, 13902, 4657, 395, 18, 22405, 281, 4778, 13280, 289, 16264, 688, 992, 17, 11622, 942, 309, 7759, 29051, 6961, 7928, 18, 2, 1, 87, 1456, 81, 2448, 30, 10245, 1144, 448, 20829, 282, 1175, 281, 430, 4238, 16597, 440, 8394, 309, 491, 5999, 365, 11099, 334, 4008, 4162, 2567, 28029, 14481, 1658, 6475, 26, 2791, 282, 5004, 18, 3791, 35471, 4162, 8347, 45792, 541, 27019, 281, 10623, 289, 9163, 1888, 25455, 2954, 18, 824, 35854, 395, 1524, 28085, 347, 16, 13367, 2413, 6050, 2364, 1032, 3763, 1135, 18, 31224, 30, 10245, 1144, 448, 20829, 282, 1175, 281, 430, 4238, 26652, 487, 309, 491, 5999, 365, 10488, 668, 41826, 5836, 13098, 19134, 840, 24960, 360, 23190, 5791, 289, 30116, 282, 1169, 23911, 16, 515, 282, 11099, 32935, 4535, 2750, 334, 23406, 4040, 1143, 309, 1281, 22, 10597, 18, 31509, 4162, 1574, 20829, 14481, 1658, 4016, 26, 2791, 282, 5004, 18, 2949, 924, 16, 428, 4419, 4437, 9529, 282, 39166, 547, 4328, 476, 1175, 473, 672, 37416, 13, 1624, 16597, 39380, 2413, 6050, 8347, 45792, 9563, 17, 47147, 4304, 289, 11915, 4304, 10623, 907, 3463, 18, 1787, 1335, 9044, 4162, 28029, 840, 2957, 928, 309, 4016, 28, 289, 48360, 2791, 8774, 18, 2112, 11897, 5024, 9044, 2954, 1747, 9038, 334, 2511, 26, 12281, 10597, 289, 2511, 47739, 2791, 282, 11099, 334, 4008, 18, 7106, 16, 374, 5938, 31498, 2407, 16, 32935, 4535, 2750, 334, 23406, 3029, 3151, 22360, 16, 5575, 1757, 45452, 6764, 16, 515, 334, 4080, 17, 3697, 12150, 322, 45828, 5583, 594, 626, 541, 7358, 32119, 20829, 18, 9873, 978, 16, 2990, 309, 33085, 22893, 334, 23406, 4247, 7190, 2950, 27867, 9768, 38044, 30, 481, 6052, 16, 5575, 1527, 12911, 986, 16, 289, 4109, 16, 5575, 1527, 3610, 986, 18, 31886, 448, 20829, 1038, 1698, 9038, 28872, 14429, 289, 3247, 749, 31378, 16, 3857, 6232, 10307, 282, 1175, 322, 2619, 1760, 986, 289, 5575, 1527, 45452, 6764, 18, 31886, 549, 4535, 2750, 334, 28357, 617, 3029, 3151, 11915, 4304, 281, 10623, 16, 9563, 17, 47147, 4304, 18, 31886, 668, 22893, 334, 24101, 39742, 526, 613, 12486, 4272, 519, 1281, 986, 16, 18866, 1527, 2236, 670, 1949, 6975, 16, 367, 1038, 14429, 11716, 1281, 986, 16, 12287, 5800, 290, 695, 16, 4272, 3826, 1027, 1436, 17, 39963, 1645, 18, 31886, 668, 22893, 1038, 12486, 4272, 17, 440, 331, 548, 18, 32354, 1979, 8347, 45792, 282, 4008, 19423, 282, 4301, 8266, 23625, 4162, 2567, 28029, 519, 4999, 6232, 21251, 37158, 9501, 665, 18, 3863, 15497, 15773, 282, 6099, 360, 5791, 16, 2686, 24385, 289, 22434, 334, 4008, 35037, 18, 365, 11826, 1045, 16, 334, 3761, 3569, 28085, 347, 16, 1177, 15497, 685, 12642, 309, 5066, 1488, 8725, 23, 10597, 16, 282, 7847, 1045, 376, 26593, 3114, 2791, 18, 3557, 293, 7019, 12076, 491, 7418, 6934, 289, 4162, 16597, 24574, 45792, 18, 365, 3569, 28085, 476, 4419, 36562, 16, 374, 282, 2630, 281, 45971, 2206, 281, 430, 4238, 26155, 779, 8347, 45792, 4933, 898, 2957, 4633, 20829, 334, 1403, 14073, 9501, 1147, 27469, 18133, 16, 2972, 17941, 18022, 9324, 334, 9130, 2594, 16, 20829, 7032, 697, 4481, 16, 20829, 541, 18581, 282, 3198, 3060, 317, 1378, 670, 21570, 4568, 8569, 399, 289, 20829, 7032, 697, 4481, 16, 9501, 448, 19134, 6367, 9421, 11345, 2793, 16, 20829, 541, 9361, 2294, 21773, 478, 2997, 10294, 4781, 1117, 434, 35502, 910, 20829, 9657, 986, 315, 17, 45491, 5434, 9536, 16, 282, 970, 2875, 1195, 4622, 382, 294, 9501, 536, 6524, 2675, 349, 387, 2987, 877, 986, 22360, 411, 7619, 23075, 712, 18, 32354, 1979, 309, 491, 9, 4729, 6961, 20829, 281, 430, 4238, 4360, 23318, 26387, 15442, 1188, 9501, 7923, 16, 3279, 2003, 43024, 19134, 16, 5938, 7019, 334, 29251, 16, 2091, 16, 6591, 6575, 2110, 16, 515, 492, 912, 16, 10050, 6187, 3281, 4454, 680, 5324, 11828, 478, 14808, 1098, 8283, 42621, 2272, 470, 4210, 9232, 337, 2947, 778, 18, 1178, 3111, 322 ]
[ 290, 26118, 4357, 16, 367, 31984, 36661, 28029, 9501, 14958, 16, 502, 1336, 17993, 6295, 322, 453, 478, 9861, 28765, 11593, 44690, 41626, 19124, 16, 6152, 1001, 7492, 33242, 2742, 478, 1961, 292, 1076, 416, 2793, 470, 16101, 281, 3928, 16, 515, 12588, 448, 18192, 289, 26621, 5836, 282, 16211, 1055, 7654, 28266, 309, 2764, 282, 48605, 19569, 2954, 18, 4149, 1038, 428, 289, 3255, 5702, 14889, 309, 965, 289, 15311, 16, 367, 7441, 32033, 30165, 687, 26889, 8396, 16, 10050, 12189, 18, 19591, 8347, 45792, 376, 481, 13256, 9072, 1041, 4489, 4000, 16, 428, 14951, 10712, 8434, 2954, 18, 1782, 16, 1085, 322, 2564, 16, 3604, 1830, 373, 1293, 986, 31381, 594, 626, 349, 1992, 2849, 19734, 35848, 16, 4247, 5230, 9080, 541, 2900, 10108, 16, 282, 6031, 7441, 773, 30586, 411, 10059, 289, 411, 1110, 3322, 17411, 360, 8334, 7341, 1437, 16, 2391, 47191, 282, 27063, 835, 2954, 1038, 322, 2353, 18, 4320, 30516, 19715, 322, 790, 2627, 1344, 7835, 16, 289, 9501, 1952, 289, 2915, 1747, 4417, 6993, 17622, 485, 19134, 16, 294, 1851, 373, 9044, 745, 322, 26975, 16, 29230, 9232, 337, 2947, 778, 18, 824, 3761, 3569, 28085, 347, 16, 16597, 39380, 2413, 6050, 7431, 1032, 3763, 34977, 18, 640, 26155, 1205, 4162, 6232, 21251, 37158, 9501, 665, 12642, 309, 5066, 25055, 9348, 1671, 18, 2, 1, 87, 1456, 81, 2448, 30, 6706, 7422, 23708, 4357, 8267, 17654, 9964, 42361, 478, 684, 3431, 16929, 470, 11090, 29656, 421, 22705, 401, 11623, 50253, 478, 1659, 27254, 470, 289, 3221, 4165, 2948, 282, 7756, 18, 640, 21290, 7664, 2514, 9792, 24132, 478, 1916, 957, 10868, 910, 14361, 1510, 4605, 1195, 478, 1098, 397, 17, 43469, 10051, 293, 872, 267, 861, 31224, 30, 471, 684, 3431, 16929, 470, 3221, 4165, 2948, 282, 7756, 1279, 478, 1659, 27254, 910, 322, 12509, 20163, 7739, 3033, 567, 7422, 39566, 35107, 18, 1591, 10246, 481, 2438, 15371, 4426, 49907, 1368, 329, 6727, 277, 1508, 16, 1029, 282, 6104, 8267, 16480, 322, 2410, 18397, 16, 515, 309, 7256, 445, 7846, 16, 309, 374, 8908, 18, 640, 14540, 49907, 10084, 11114, 26654, 16, 7109, 8533, 291, 289, 2852, 25087, 18, 365, 17530, 17, 277, 8267, 22979, 17, 21131, 349, 14261, 19885, 18462, 8396, 2555, 12994, 16, 2852, 8533, 291, 289, 2852, 25087, 18, 12092, 12387, 19209, 48558, 381, 1454, 20113, 16355, 419, 478, 684, 1083, 267, 470, 334, 2856, 3286, 10091, 18, 1149, 16961, 30496, 30, 18004, 71, 1667, 87, 28695, 18004, 1200, 658, 1366, 4166, 7983, 87, 40051, 17, 17867, 710, 13810, 9417, 473, 21, 17, 21, 814, 18004, 47, 657, 46, 6857, 13119, 527, 11114, 644, 5299, 16, 1488, 25119, 5436, 1061, 407, 849, 9094, 50, 20989, 30958, 1201, 14688, 87, 31738, 18, 32767, 18, 3758, 19, 44, 54, 28, 78, 61, 91, 85, 82, 92, 72, 24207, 11502, 9792, 541, 478, 684, 3431, 47297, 470, 2756, 8669, 549, 7732, 14596, 16, 2588, 7193, 30346, 281, 445, 5793, 282, 1939, 12994, 473, 1866, 5551, 7586, 934, 411, 1639, 2418, 23651, 28773, 309, 1595, 2948, 1717, 49907, 1368, 18, 3739, 2846, 5692, 40128, 31617, 1798, 16, 1717, 47143, 2581, 811, 5216, 40921, 18218, 1525, 282, 9547, 18, 478, 1659, 27254, 470, 6274, 22255, 289, 1188, 6097, 23511, 304, 5009, 2022, 13303, 2235, 519, 651, 29, 1011, 1949, 47632, 10556, 432, 360, 33798, 11819, 2446, 18, 640, 46144, 14515, 23523, 10988, 2611, 48737, 8782, 27420, 764, 1272, 26654, 16, 515, 478, 684, 3431, 16929, 470, 1858, 21190, 2961, 12171, 36912, 18, 47945, 489, 3417, 12994, 282, 5897, 4699, 23523, 16, 478, 684, 1083, 267, 470, 20086, 48650, 289, 20800, 478, 1659, 27254, 470, 43971, 478, 27958, 470, 651, 3114, 18, 9873, 49907, 10084, 282, 5271, 24621, 20142, 942, 17665, 13224, 312, 7599, 2106, 486, 16, 32471, 1081, 3695, 48148, 18, 24747, 334, 20211, 424, 44553, 7075, 775, 5990, 293, 2612, 510, 1912, 8533, 291, 18, 31617, 1798, 28773, 309, 1595, 2948, 5270, 12994, 289, 3103, 8533, 291, 18, 608, 478, 1659, 27254, 470, 581, 7839, 17, 347, 7839, 13721, 271, 48737, 473, 3940, 12994, 4668, 1533, 25087, 814, 1281, 23651, 34824, 300, 29726, 19047, 3327, 18, 39404, 4165, 2948, 282, 23708, 1809, 7756, 16101, 289, 478, 1916, 957, 10868, 910, 10313, 626, 1779, 29815, 516, 8955, 1195, 478, 1098, 397, 17, 43469, 304, 861, 478, 730, 368, 305, 267, 470, 3225, 4693, 4605, 4813, 309, 13457, 4833, 25388, 18, 3495, 16084, 16355, 1262, 24407, 12046, 4048, 292, 4013, 332, 11596, 1223, 667, 16, 22, 9, 4744, 2449, 411, 17, 431, 1771, 607, 289, 12662, 16, 26, 9, 510, 281, 5625, 10556, 432, 18, 478, 1098, 397, 17, 43469, 272, 470, 1858, 322, 2564, 4366, 25236, 26060, 2227, 1624, 35474, 34840, 424, 10202, 2198, 4690, 362, 29641, 18, 38830, 20113, 16355, 419, 282, 13420, 9547, 1038, 3164, 424, 11616, 18, 786, 44, 16977, 1442, 20564, 56, 907, 50, 30, 49970, 20623, 45444, 88, 8962, 1092, 28926, 491, 386, 461, 2724, 1689, 87, 18, 23017, 9316, 12746, 710, 39825, 7697, 752, 866, 849, 9876, 18, 31738, 18, 32767, 18, 3758, 19, 58, 82, 58, 37, 94, 25, 60, 87, 38, 71, 478, 684, 13566, 872, 267, 470, 3521, 315, 4732, 10133, 16, 5270, 12994, 9410, 18462, 13028, 4013, 273, 5000, 43403, 16, 428, 289, 49907, 1368, 16, 1988, 3080, 1779, 2418, 23651, 349, 14596, 18, 2046, 15014, 2156, 6498, 282, 965, 289, 7166, 2919, 4024, 18, 403, 34979, 2594, 1421, 10556, 432, 360, 37694, 8474, 2895, 367, 20800, 478, 730, 368, 305, 267, 470, 7631, 282, 43813, 454, 281, 20201, 758, 4668, 2479, 18, 17580, 14596, 3118, 8824, 349, 478, 684, 13566, 872, 267, 861, 478, 1916, 957, 10868, 470, 13457, 9674, 16480, 282, 25152, 289, 15272, 7739, 3033, 27714, 15173, 48148, 349, 1912, 1879, 5, 5000, 43403, 289, 3785, 1375, 18384, 751, 428, 3005, 16, 367, 360, 14125, 17701, 322, 5290, 289, 26719, 18, 1591, 808, 8214, 23511, 4048, 292, 4013, 271, 7609, 477, 3319, 21166, 6150, 20928, 4077, 16, 289, 309, 34908, 10491, 1965, 8148, 7193, 18, 365, 4101, 7130, 14515, 23523, 478, 1916, 957, 10868, 470, 12983, 1364, 18871, 510, 1061, 30, 20, 289, 5009, 2022, 13303, 2235, 519, 651, 22, 18, 13268, 1011, 5897, 5708, 21842, 478, 730, 368, 305, 267, 470, 31273, 8474, 10889, 289, 13590, 37832, 16720, 936, 4424, 349, 14106, 808, 7166, 2919, 4024, 18, 8474, 2895 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 290, 26118, 4357, 16, 367, 31984, 36661, 28029, 9501, 14958, 16, 502, 1336, 17993, 6295, 322, 453, 478, 9861, 28765, 11593, 44690, 41626, 19124, 16, 6152, 1001, 7492, 33242, 2742, 478, 1961, 292, 1076, 416, 2793, 470, 16101, 281, 3928, 16, 515, 12588, 448, 18192, 289, 26621, 5836, 282, 16211, 1055, 7654, 28266, 309, 2764, 282, 48605, 19569, 2954, 18, 4149, 1038, 428, 289, 3255, 5702, 14889, 309, 965, 289, 15311, 16, 367, 7441, 32033, 30165, 687, 26889, 8396, 16, 10050, 12189, 18, 19591, 8347, 45792, 376, 481, 13256, 9072, 1041, 4489, 4000, 16, 428, 14951, 10712, 8434, 2954, 18, 1782, 16, 1085, 322, 2564, 16, 3604, 1830, 373, 1293, 986, 31381, 594, 626, 349, 1992, 2849, 19734, 35848, 16, 4247, 5230, 9080, 541, 2900, 10108, 16, 282, 6031, 7441, 773, 30586, 411, 10059, 289, 411, 1110, 3322, 17411, 360, 8334, 7341, 1437, 16, 2391, 47191, 282, 27063, 835, 2954, 1038, 322, 2353, 18, 4320, 30516, 19715, 322, 790, 2627, 1344, 7835, 16, 289, 9501, 1952, 289, 2915, 1747, 4417, 6993, 17622, 485, 19134, 16, 294, 1851, 373, 9044, 745, 322, 26975, 16, 29230, 9232, 337, 2947, 778, 18, 824, 3761, 3569, 28085, 347, 16, 16597, 39380, 2413, 6050, 7431, 1032, 3763, 34977, 18, 640, 26155, 1205, 4162, 6232, 21251, 37158, 9501, 665, 12642, 309, 5066, 25055, 9348, 1671, 18, 2, 1, 87, 1456, 81, 2448, 30, 6706, 7422, 23708, 4357, 8267, 17654, 9964, 42361, 478, 684, 3431, 16929, 470, 11090, 29656, 421, 22705, 401, 11623, 50253, 478, 1659, 27254, 470, 289, 3221, 4165, 2948, 282, 7756, 18, 640, 21290, 7664, 2514, 9792, 24132, 478, 1916, 957, 10868, 910, 14361, 1510, 4605, 1195, 478, 1098, 397, 17, 43469, 10051, 293, 872, 267, 861, 31224, 30, 471, 684, 3431, 16929, 470, 3221, 4165, 2948, 282, 7756, 1279, 478, 1659, 27254, 910, 322, 12509, 20163, 7739, 3033, 567, 7422, 39566, 35107, 18, 1591, 10246, 481, 2438, 15371, 4426, 49907, 1368, 329, 6727, 277, 1508, 16, 1029, 282, 6104, 8267, 16480, 322, 2410, 18397, 16, 515, 309, 7256, 445, 7846, 16, 309, 374, 8908, 18, 640, 14540, 49907, 10084, 11114, 26654, 16, 7109, 8533, 291, 289, 2852, 25087, 18, 365, 17530, 17, 277, 8267, 22979, 17, 21131, 349, 14261, 19885, 18462, 8396, 2555, 12994, 16, 2852, 8533, 291, 289, 2852, 25087, 18, 12092, 12387, 19209, 48558, 381, 1454, 20113, 16355, 419, 478, 684, 1083, 267, 470, 334, 2856, 3286, 10091, 18, 1149, 16961, 30496, 30, 18004, 71, 1667, 87, 28695, 18004, 1200, 658, 1366, 4166, 7983, 87, 40051, 17, 17867, 710, 13810, 9417, 473, 21, 17, 21, 814, 18004, 47, 657, 46, 6857, 13119, 527, 11114, 644, 5299, 16, 1488, 25119, 5436, 1061, 407, 849, 9094, 50, 20989, 30958, 1201, 14688, 87, 31738, 18, 32767, 18, 3758, 19, 44, 54, 28, 78, 61, 91, 85, 82, 92, 72, 24207, 11502, 9792, 541, 478, 684, 3431, 47297, 470, 2756, 8669, 549, 7732, 14596, 16, 2588, 7193, 30346, 281, 445, 5793, 282, 1939, 12994, 473, 1866, 5551, 7586, 934, 411, 1639, 2418, 23651, 28773, 309, 1595, 2948, 1717, 49907, 1368, 18, 3739, 2846, 5692, 40128, 31617, 1798, 16, 1717, 47143, 2581, 811, 5216, 40921, 18218, 1525, 282, 9547, 18, 478, 1659, 27254, 470, 6274, 22255, 289, 1188, 6097, 23511, 304, 5009, 2022, 13303, 2235, 519, 651, 29, 1011, 1949, 47632, 10556, 432, 360, 33798, 11819, 2446, 18, 640, 46144, 14515, 23523, 10988, 2611, 48737, 8782, 27420, 764, 1272, 26654, 16, 515, 478, 684, 3431, 16929, 470, 1858, 21190, 2961, 12171, 36912, 18, 47945, 489, 3417, 12994, 282, 5897, 4699, 23523, 16, 478, 684, 1083, 267, 470, 20086, 48650, 289, 20800, 478, 1659, 27254, 470, 43971, 478, 27958, 470, 651, 3114, 18, 9873, 49907, 10084, 282, 5271, 24621, 20142, 942, 17665, 13224, 312, 7599, 2106, 486, 16, 32471, 1081, 3695, 48148, 18, 24747, 334, 20211, 424, 44553, 7075, 775, 5990, 293, 2612, 510, 1912, 8533, 291, 18, 31617, 1798, 28773, 309, 1595, 2948, 5270, 12994, 289, 3103, 8533, 291, 18, 608, 478, 1659, 27254, 470, 581, 7839, 17, 347, 7839, 13721, 271, 48737, 473, 3940, 12994, 4668, 1533, 25087, 814, 1281, 23651, 34824, 300, 29726, 19047, 3327, 18, 39404, 4165, 2948, 282, 23708, 1809, 7756, 16101, 289, 478, 1916, 957, 10868, 910, 10313, 626, 1779, 29815, 516, 8955, 1195, 478, 1098, 397, 17, 43469, 304, 861, 478, 730, 368, 305, 267, 470, 3225, 4693, 4605, 4813, 309, 13457, 4833, 25388, 18, 3495, 16084, 16355, 1262, 24407, 12046, 4048, 292, 4013, 332, 11596, 1223, 667, 16, 22, 9, 4744, 2449, 411, 17, 431, 1771, 607, 289, 12662, 16, 26, 9, 510, 281, 5625, 10556, 432, 18, 478, 1098, 397, 17, 43469, 272, 470, 1858, 322, 2564, 4366, 25236, 26060, 2227, 1624, 35474, 34840, 424, 10202, 2198, 4690, 362, 29641, 18, 38830, 20113, 16355, 419, 282, 13420, 9547, 1038, 3164, 424, 11616, 18, 786, 44, 16977, 1442, 20564, 56, 907, 50, 30, 49970, 20623, 45444, 88, 8962, 1092, 28926, 491, 386, 461, 2724, 1689, 87, 18, 23017, 9316, 12746, 710, 39825, 7697, 752, 866, 849, 9876, 18, 31738, 18, 32767, 18, 3758, 19, 58, 82, 58, 37, 94, 25, 60, 87, 38, 71, 478, 684, 13566, 872, 267, 470, 3521, 315, 4732, 10133, 16, 5270, 12994, 9410, 18462, 13028, 4013, 273, 5000, 43403, 16, 428, 289, 49907, 1368, 16, 1988, 3080, 1779, 2418, 23651, 349, 14596, 18, 2046, 15014, 2156, 6498, 282, 965, 289, 7166, 2919, 4024, 18, 403, 34979, 2594, 1421, 10556, 432, 360, 37694, 8474, 2895, 367, 20800, 478, 730, 368, 305, 267, 470, 7631, 282, 43813, 454, 281, 20201, 758, 4668, 2479, 18, 17580, 14596, 3118, 8824, 349, 478, 684, 13566, 872, 267, 861, 478, 1916, 957, 10868, 470, 13457, 9674, 16480, 282, 25152, 289, 15272, 7739, 3033, 27714, 15173, 48148, 349, 1912, 1879, 5, 5000, 43403, 289, 3785, 1375, 18384, 751, 428, 3005, 16, 367, 360, 14125, 17701, 322, 5290, 289, 26719, 18, 1591, 808, 8214, 23511, 4048, 292, 4013, 271, 7609, 477, 3319, 21166, 6150, 20928, 4077, 16, 289, 309, 34908, 10491, 1965, 8148, 7193, 18, 365, 4101, 7130, 14515, 23523, 478, 1916, 957, 10868, 470, 12983, 1364, 18871, 510, 1061, 30, 20, 289, 5009, 2022, 13303, 2235, 519, 651, 22, 18, 13268, 1011, 5897, 5708, 21842, 478, 730, 368, 305, 267, 470, 31273, 8474, 10889, 289, 13590, 37832, 16720, 936, 4424, 349, 14106, 808, 7166, 2919, 4024, 18, 8474, 2895 ]
[ 282, 35962, 23523, 18462, 2261, 12994, 18, 2667, 1746, 315, 8055, 7739, 3033, 7799, 1510, 478, 1098, 397, 17, 43469, 470, 322, 10587, 18, 23017, 9316, 2144, 3959, 596, 491, 585, 18342, 710, 13810, 9417, 1689, 87, 6824, 19891, 1284, 1338, 34013, 17, 47678, 15113, 18, 19985, 1021, 32282, 8133, 87, 1021, 765, 20913, 1338, 9817, 20734, 18, 31738, 18, 32767, 18, 3758, 19, 59, 62, 62, 91, 62, 77, 20564, 83, 38, 12092, 282, 2343, 23523, 478, 684, 13566, 872, 267, 470, 34406, 1364, 18871, 1488, 30, 20, 289, 5009, 3467, 13303, 2235, 282, 20545, 519, 6566, 12994, 16, 515, 8008, 506, 639, 726, 6774, 18, 9712, 6086, 322, 22151, 935, 9026, 9930, 2117, 5000, 399, 19218, 1624, 32471, 1081, 12060, 26654, 289, 1760, 8533, 291, 18, 3739, 1176, 581, 7839, 17, 347, 7839, 282, 5271, 478, 1098, 397, 17, 32525, 507, 470, 13721, 271, 4342, 1191, 298, 48558, 18, 608, 478, 1916, 957, 31799, 470, 9817, 26456, 28773, 309, 1595, 2948, 8474, 2895, 16, 3436, 5692, 8583, 686, 266, 768, 48890, 16, 1029, 1038, 2581, 811, 2261, 424, 612, 2661, 18, 981, 7839, 17, 347, 7839, 329, 16720, 936, 473, 3114, 12994, 15, 4234, 8533, 291, 814, 22405, 281, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 309, 7759, 20280, 28915, 10365, 15137, 18, 2, 1, 87, 1456, 81, 2448, 30, 6706, 12241, 41905, 41386, 26567, 378, 1182, 1098, 334, 15749, 18, 21561, 24621, 12417, 6740, 7179, 40657, 8664, 530, 15477, 18, 10110, 378, 1182, 1098, 6363, 7123, 10442, 3893, 16, 374, 16, 4813, 309, 47235, 43415, 5384, 16, 20665, 840, 36986, 16, 367, 505, 11506, 2518, 847, 289, 282, 7823, 18, 31224, 30, 6161, 5475, 567, 12241, 309, 504, 14302, 478, 1098, 545, 1157, 470, 12544, 16, 502, 656, 726, 17573, 16, 374, 481, 9988, 478, 36796, 910, 478, 12003, 342, 1183, 910, 670, 16, 282, 33723, 1750, 16, 478, 2997, 925, 324, 861, 39106, 5478, 289, 976, 17, 280, 801, 334, 9469, 2791, 18, 740, 322, 309, 1177, 445, 18, 365, 1177, 12241, 19809, 5778, 272, 2553, 19646, 4110, 478, 45565, 470, 4137, 289, 478, 15164, 547, 262, 3733, 910, 1131, 15102, 282, 42889, 26345, 466, 14378, 378, 1182, 1098, 16, 289, 36913, 309, 19424, 2165, 18, 1787, 5863, 548, 9756, 322, 9929, 4300, 531, 1079, 12383, 2496, 16149, 9842, 25671, 345, 17, 293, 707, 289, 519, 16557, 12383, 25220, 2350, 416, 10165, 2300, 18, 25122, 16, 3523, 42012, 309, 8267, 15364, 942, 639, 664, 10909, 334, 1593, 395, 18, 2706, 42519, 16, 2261, 16568, 432, 478, 454, 288, 3223, 2607, 470, 289, 1421, 21247, 469, 23570, 16, 29399, 33780, 8951, 36132, 1399, 488, 6952, 718, 7586, 18, 439, 764, 1293, 14824, 16, 2808, 7693, 291, 16, 4431, 32462, 16, 7190, 23904, 18, 14427, 9680, 7342, 1175, 16353, 38659, 309, 3208, 4267, 2468, 282, 26575, 672, 17, 271, 875, 31819, 2264, 928, 322, 685, 18, 12824, 9236, 16, 309, 7192, 4019, 36976, 378, 1182, 1098, 639, 17017, 289, 17064, 939, 45337, 18, 9570, 475, 939, 1904, 13574, 18, 385, 3453, 834, 1780, 272, 394, 478, 1098, 545, 1051, 470, 942, 639, 683, 499, 7002, 11077, 3835, 564, 32657, 16, 10168, 11705, 454, 17799, 16, 11077, 33801, 539, 3702, 18, 439, 634, 354, 567, 7422, 25308, 913, 939, 1269, 18, 6023, 434, 1143, 16, 828, 45078, 18569, 18, 27784, 11142, 1320, 282, 3177, 21439, 24039, 16, 289, 349, 2678, 13363, 505, 282, 6409, 3538, 5907, 6910, 6250, 344, 16, 1029, 840, 4619, 764, 5284, 18, 21561, 3541, 30, 478, 45565, 470, 5876, 1880, 16, 478, 15164, 547, 262, 3733, 910, 478, 992, 10119, 355, 910, 1399, 488, 6952, 1880, 478, 45565, 470, 289, 478, 7128, 291, 931, 470, 15244, 2258, 17, 1861, 33972, 18, 365, 2615, 1119, 478, 45565, 470, 1399, 488, 6952, 1880, 42100, 435, 478, 15164, 547, 262, 3733, 470, 430, 30, 20, 16, 367, 5876, 1880, 15536, 857, 478, 992, 307, 409, 306, 470, 430, 30, 23, 18, 640, 2992, 9547, 16, 7089, 16, 15364, 639, 726, 1143, 18, 35832, 5235, 309, 8241, 18, 3138, 36882, 478, 32485, 18, 8381, 470, 8409, 45659, 6127, 4183, 2299, 20791, 11088, 2075, 24009, 1624, 515, 1500, 9473, 30, 478, 1358, 322, 371, 14469, 18, 981, 289, 374, 1373, 34991, 35, 30677, 695, 18, 2255, 25467, 16, 5726, 655, 985, 2521, 373, 4966, 7451, 453, 1139, 2560, 2572, 10742, 2795, 18, 3249, 953, 16, 294, 41032, 29218, 14452, 289, 1988, 4276, 357, 15386, 4700, 17, 1796, 910, 510, 8602, 14403, 10193, 12987, 18, 10110, 378, 1182, 1098, 6363, 7123, 10442, 685, 1033, 40476, 928, 18, 478, 4441, 7866, 564, 2438, 45221, 282, 17150, 298, 378, 1182, 1098, 16, 510, 1109, 492, 18, 651, 30704, 16, 374, 1177, 20665, 840, 289, 282, 7823, 8103, 31805, 18, 3510, 282, 4301, 1047, 14903, 5773, 10793, 27232, 6740, 40657, 18, 999, 2540, 2728, 1177, 20665, 16, 656, 5658, 11670, 541, 505, 6367, 4289, 10544, 2644, 18, 832, 329, 4286, 36766, 670, 17799, 4966, 6740, 40657, 840, 2678, 282, 1360, 24087, 18908, 309, 18671, 26225, 282, 1175, 18, 365, 803, 9347, 656, 12019, 46579, 19790, 504, 14302, 478, 1098, 545, 1157, 861, 1178, 575, 3111, 334, 19955, 29218, 16, 502, 20665, 15141, 1893, 12980, 26649, 16, 25467, 18, 6452, 447, 8056, 282, 3482, 4946, 16, 24349, 8384, 18, 31969, 16, 282, 7933, 3793, 4701, 28929, 19763, 764, 1143, 14579, 861, 510, 478, 1098, 545, 1157, 470, 510, 6174, 1187, 798, 16, 309, 6459, 4500, 18, 3249, 953, 16, 10225, 28725, 32689, 2572, 282, 3507, 3089, 35, 510, 629, 726, 1109, 16, 374, 2003, 6125, 5549, 3276, 3216, 395, 6740, 40657, 20665, 16, 1029, 8633, 282, 5806, 6367, 18, 510, 15060, 16, 475, 2332, 32462, 18, 510, 3923, 16, 942, 639, 22482, 20665, 309, 2107, 32689, 16, 282, 2107, 1332, 18, 740, 2759, 16213, 639, 24924, 34264, 381, 1951, 7478, 20791, 18, 459, 784, 7946, 16, 374, 334, 17147, 14452, 2419, 11009, 3000, 530, 26649, 289, 4208, 1643, 18, 510, 439, 36226, 428, 17, 299, 8826, 35, 510, 5154, 33972, 12715, 378, 1182, 1098, 16, 289, 656, 1494, 4292, 19281, 282, 31959, 635, 4396, 541, 27832, 16, 12037, 14452, 289, 7620, 36226, 18, 510, 365, 4784, 16, 15715, 9236, 18, 510, 1012, 939, 9622, 27905, 266, 318, 16, 510, 281, 9198, 2715, 309, 1177, 1247, 6363, 7123, 10442, 18, 385, 4778, 16264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 35962, 23523, 18462, 2261, 12994, 18, 2667, 1746, 315, 8055, 7739, 3033, 7799, 1510, 478, 1098, 397, 17, 43469, 470, 322, 10587, 18, 23017, 9316, 2144, 3959, 596, 491, 585, 18342, 710, 13810, 9417, 1689, 87, 6824, 19891, 1284, 1338, 34013, 17, 47678, 15113, 18, 19985, 1021, 32282, 8133, 87, 1021, 765, 20913, 1338, 9817, 20734, 18, 31738, 18, 32767, 18, 3758, 19, 59, 62, 62, 91, 62, 77, 20564, 83, 38, 12092, 282, 2343, 23523, 478, 684, 13566, 872, 267, 470, 34406, 1364, 18871, 1488, 30, 20, 289, 5009, 3467, 13303, 2235, 282, 20545, 519, 6566, 12994, 16, 515, 8008, 506, 639, 726, 6774, 18, 9712, 6086, 322, 22151, 935, 9026, 9930, 2117, 5000, 399, 19218, 1624, 32471, 1081, 12060, 26654, 289, 1760, 8533, 291, 18, 3739, 1176, 581, 7839, 17, 347, 7839, 282, 5271, 478, 1098, 397, 17, 32525, 507, 470, 13721, 271, 4342, 1191, 298, 48558, 18, 608, 478, 1916, 957, 31799, 470, 9817, 26456, 28773, 309, 1595, 2948, 8474, 2895, 16, 3436, 5692, 8583, 686, 266, 768, 48890, 16, 1029, 1038, 2581, 811, 2261, 424, 612, 2661, 18, 981, 7839, 17, 347, 7839, 329, 16720, 936, 473, 3114, 12994, 15, 4234, 8533, 291, 814, 22405, 281, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 309, 7759, 20280, 28915, 10365, 15137, 18, 2, 1, 87, 1456, 81, 2448, 30, 6706, 12241, 41905, 41386, 26567, 378, 1182, 1098, 334, 15749, 18, 21561, 24621, 12417, 6740, 7179, 40657, 8664, 530, 15477, 18, 10110, 378, 1182, 1098, 6363, 7123, 10442, 3893, 16, 374, 16, 4813, 309, 47235, 43415, 5384, 16, 20665, 840, 36986, 16, 367, 505, 11506, 2518, 847, 289, 282, 7823, 18, 31224, 30, 6161, 5475, 567, 12241, 309, 504, 14302, 478, 1098, 545, 1157, 470, 12544, 16, 502, 656, 726, 17573, 16, 374, 481, 9988, 478, 36796, 910, 478, 12003, 342, 1183, 910, 670, 16, 282, 33723, 1750, 16, 478, 2997, 925, 324, 861, 39106, 5478, 289, 976, 17, 280, 801, 334, 9469, 2791, 18, 740, 322, 309, 1177, 445, 18, 365, 1177, 12241, 19809, 5778, 272, 2553, 19646, 4110, 478, 45565, 470, 4137, 289, 478, 15164, 547, 262, 3733, 910, 1131, 15102, 282, 42889, 26345, 466, 14378, 378, 1182, 1098, 16, 289, 36913, 309, 19424, 2165, 18, 1787, 5863, 548, 9756, 322, 9929, 4300, 531, 1079, 12383, 2496, 16149, 9842, 25671, 345, 17, 293, 707, 289, 519, 16557, 12383, 25220, 2350, 416, 10165, 2300, 18, 25122, 16, 3523, 42012, 309, 8267, 15364, 942, 639, 664, 10909, 334, 1593, 395, 18, 2706, 42519, 16, 2261, 16568, 432, 478, 454, 288, 3223, 2607, 470, 289, 1421, 21247, 469, 23570, 16, 29399, 33780, 8951, 36132, 1399, 488, 6952, 718, 7586, 18, 439, 764, 1293, 14824, 16, 2808, 7693, 291, 16, 4431, 32462, 16, 7190, 23904, 18, 14427, 9680, 7342, 1175, 16353, 38659, 309, 3208, 4267, 2468, 282, 26575, 672, 17, 271, 875, 31819, 2264, 928, 322, 685, 18, 12824, 9236, 16, 309, 7192, 4019, 36976, 378, 1182, 1098, 639, 17017, 289, 17064, 939, 45337, 18, 9570, 475, 939, 1904, 13574, 18, 385, 3453, 834, 1780, 272, 394, 478, 1098, 545, 1051, 470, 942, 639, 683, 499, 7002, 11077, 3835, 564, 32657, 16, 10168, 11705, 454, 17799, 16, 11077, 33801, 539, 3702, 18, 439, 634, 354, 567, 7422, 25308, 913, 939, 1269, 18, 6023, 434, 1143, 16, 828, 45078, 18569, 18, 27784, 11142, 1320, 282, 3177, 21439, 24039, 16, 289, 349, 2678, 13363, 505, 282, 6409, 3538, 5907, 6910, 6250, 344, 16, 1029, 840, 4619, 764, 5284, 18, 21561, 3541, 30, 478, 45565, 470, 5876, 1880, 16, 478, 15164, 547, 262, 3733, 910, 478, 992, 10119, 355, 910, 1399, 488, 6952, 1880, 478, 45565, 470, 289, 478, 7128, 291, 931, 470, 15244, 2258, 17, 1861, 33972, 18, 365, 2615, 1119, 478, 45565, 470, 1399, 488, 6952, 1880, 42100, 435, 478, 15164, 547, 262, 3733, 470, 430, 30, 20, 16, 367, 5876, 1880, 15536, 857, 478, 992, 307, 409, 306, 470, 430, 30, 23, 18, 640, 2992, 9547, 16, 7089, 16, 15364, 639, 726, 1143, 18, 35832, 5235, 309, 8241, 18, 3138, 36882, 478, 32485, 18, 8381, 470, 8409, 45659, 6127, 4183, 2299, 20791, 11088, 2075, 24009, 1624, 515, 1500, 9473, 30, 478, 1358, 322, 371, 14469, 18, 981, 289, 374, 1373, 34991, 35, 30677, 695, 18, 2255, 25467, 16, 5726, 655, 985, 2521, 373, 4966, 7451, 453, 1139, 2560, 2572, 10742, 2795, 18, 3249, 953, 16, 294, 41032, 29218, 14452, 289, 1988, 4276, 357, 15386, 4700, 17, 1796, 910, 510, 8602, 14403, 10193, 12987, 18, 10110, 378, 1182, 1098, 6363, 7123, 10442, 685, 1033, 40476, 928, 18, 478, 4441, 7866, 564, 2438, 45221, 282, 17150, 298, 378, 1182, 1098, 16, 510, 1109, 492, 18, 651, 30704, 16, 374, 1177, 20665, 840, 289, 282, 7823, 8103, 31805, 18, 3510, 282, 4301, 1047, 14903, 5773, 10793, 27232, 6740, 40657, 18, 999, 2540, 2728, 1177, 20665, 16, 656, 5658, 11670, 541, 505, 6367, 4289, 10544, 2644, 18, 832, 329, 4286, 36766, 670, 17799, 4966, 6740, 40657, 840, 2678, 282, 1360, 24087, 18908, 309, 18671, 26225, 282, 1175, 18, 365, 803, 9347, 656, 12019, 46579, 19790, 504, 14302, 478, 1098, 545, 1157, 861, 1178, 575, 3111, 334, 19955, 29218, 16, 502, 20665, 15141, 1893, 12980, 26649, 16, 25467, 18, 6452, 447, 8056, 282, 3482, 4946, 16, 24349, 8384, 18, 31969, 16, 282, 7933, 3793, 4701, 28929, 19763, 764, 1143, 14579, 861, 510, 478, 1098, 545, 1157, 470, 510, 6174, 1187, 798, 16, 309, 6459, 4500, 18, 3249, 953, 16, 10225, 28725, 32689, 2572, 282, 3507, 3089, 35, 510, 629, 726, 1109, 16, 374, 2003, 6125, 5549, 3276, 3216, 395, 6740, 40657, 20665, 16, 1029, 8633, 282, 5806, 6367, 18, 510, 15060, 16, 475, 2332, 32462, 18, 510, 3923, 16, 942, 639, 22482, 20665, 309, 2107, 32689, 16, 282, 2107, 1332, 18, 740, 2759, 16213, 639, 24924, 34264, 381, 1951, 7478, 20791, 18, 459, 784, 7946, 16, 374, 334, 17147, 14452, 2419, 11009, 3000, 530, 26649, 289, 4208, 1643, 18, 510, 439, 36226, 428, 17, 299, 8826, 35, 510, 5154, 33972, 12715, 378, 1182, 1098, 16, 289, 656, 1494, 4292, 19281, 282, 31959, 635, 4396, 541, 27832, 16, 12037, 14452, 289, 7620, 36226, 18, 510, 365, 4784, 16, 15715, 9236, 18, 510, 1012, 939, 9622, 27905, 266, 318, 16, 510, 281, 9198, 2715, 309, 1177, 1247, 6363, 7123, 10442, 18, 385, 4778, 16264 ]
[ 6740, 40657, 289, 30855, 16287, 942, 16228, 309, 7759, 4183, 40657, 18, 2, 1, 87, 1456, 81, 2448, 30, 21126, 411, 3322, 11241, 32462, 9460, 21094, 3602, 3883, 307, 13016, 14261, 282, 9526, 7342, 18, 5741, 17, 7745, 39914, 1623, 12916, 12968, 620, 282, 722, 3182, 289, 9225, 11464, 1756, 334, 20740, 34396, 16287, 18, 365, 4101, 3142, 3883, 307, 5042, 364, 17815, 309, 4577, 281, 5815, 680, 19838, 761, 18, 31224, 30, 10269, 879, 1619, 6779, 32124, 9460, 282, 29304, 10277, 21094, 3602, 3883, 307, 10218, 290, 34838, 29236, 349, 34154, 8616, 18, 824, 3163, 36766, 16, 19665, 2636, 2117, 349, 8616, 478, 789, 10752, 49211, 470, 12816, 906, 505, 38068, 1734, 3148, 2840, 289, 31039, 47280, 27617, 18, 3883, 307, 29608, 1209, 16, 1085, 478, 1961, 1114, 1177, 3971, 281, 1498, 910, 289, 13749, 16, 374, 9721, 808, 43971, 1756, 35438, 13111, 11358, 18, 608, 2546, 13097, 403, 1020, 285, 871, 16, 371, 22663, 2151, 551, 864, 379, 16, 31112, 282, 5271, 27408, 7342, 282, 12500, 8311, 779, 282, 7353, 2123, 986, 16, 3429, 309, 1500, 2083, 3818, 16465, 28067, 4966, 282, 3182, 473, 1198, 779, 6396, 505, 15513, 1271, 364, 32594, 16164, 17088, 266, 16, 1029, 4223, 309, 25283, 16, 10265, 309, 8653, 2868, 26149, 814, 365, 970, 575, 8311, 17, 277, 16, 1286, 3597, 16, 3883, 307, 1559, 289, 3818, 1382, 536, 17519, 37253, 7342, 9460, 473, 3420, 986, 816, 3420, 2868, 814, 439, 8802, 7520, 17, 361, 6973, 364, 289, 2842, 5785, 15513, 428, 3560, 5834, 5184, 37253, 309, 27304, 2496, 1209, 2044, 18, 608, 482, 3214, 9923, 16, 374, 519, 32878, 282, 4698, 8616, 2553, 3883, 307, 11179, 11598, 2195, 282, 20313, 1133, 3191, 448, 1770, 3114, 16, 1770, 3420, 289, 1770, 1618, 18, 30233, 5897, 4523, 10133, 282, 5973, 582, 281, 17659, 416, 10721, 31623, 323, 492, 7609, 2287, 4120, 4145, 779, 309, 22322, 1212, 478, 1140, 5830, 1908, 861, 32710, 16536, 1154, 24175, 46668, 282, 360, 22339, 294, 4027, 552, 2422, 510, 11826, 16, 367, 722, 5222, 8782, 27420, 475, 6374, 1879, 16, 515, 322, 2564, 2401, 5873, 18, 5043, 16, 3883, 307, 289, 749, 924, 1623, 12916, 12968, 620, 7342, 282, 3182, 651, 17736, 32657, 282, 35763, 16702, 18, 12092, 17659, 451, 47487, 15330, 1034, 364, 2467, 20727, 309, 4577, 5511, 1047, 473, 2783, 25, 9691, 814, 8071, 1289, 3883, 307, 7739, 23159, 281, 7583, 7342, 651, 289, 5826, 4570, 322, 2410, 18397, 18, 365, 12354, 5653, 779, 31414, 329, 7367, 7168, 282, 478, 1098, 545, 7478, 470, 282, 39676, 9155, 17139, 294, 27304, 17, 18777, 18, 20145, 16786, 1655, 282, 18378, 263, 20700, 11471, 6844, 2948, 282, 8151, 4183, 3298, 429, 16, 2686, 1011, 21842, 8440, 526, 35111, 4104, 623, 6235, 5568, 10645, 50172, 473, 22, 30, 21, 814, 365, 12938, 4145, 17, 361, 3883, 307, 48255, 2911, 360, 636, 4041, 23088, 1879, 519, 1360, 26403, 282, 8267, 1279, 1175, 309, 12013, 5538, 567, 5670, 473, 21, 30, 21, 814, 5333, 2175, 16, 309, 34472, 17, 28028, 282, 6633, 8362, 492, 2820, 322, 26981, 282, 5703, 30490, 19574, 7342, 9460, 651, 4853, 374, 282, 3106, 35643, 670, 19361, 17565, 18, 5181, 16, 764, 519, 19683, 10744, 3883, 307, 14697, 36503, 4609, 1166, 505, 16171, 11246, 282, 6127, 7576, 17802, 5971, 2857, 2725, 487, 3608, 354, 309, 20665, 18, 8985, 38331, 478, 789, 10752, 49211, 470, 4726, 5073, 22829, 309, 1888, 31082, 18, 967, 803, 10896, 3883, 307, 322, 2397, 282, 7204, 1750, 8058, 4602, 2198, 7713, 18, 981, 16, 282, 2343, 3802, 975, 2417, 9496, 9817, 16, 2686, 2725, 487, 3608, 266, 14335, 341, 20597, 4119, 282, 31277, 7342, 2555, 17, 41397, 6727, 353, 6999, 488, 1624, 367, 282, 3178, 978, 779, 11451, 32970, 12060, 17, 11884, 1467, 320, 5983, 324, 4342, 12513, 18, 365, 1750, 3883, 307, 16, 3754, 16, 3014, 14446, 2904, 309, 17336, 16, 961, 12674, 27411, 349, 3142, 29236, 16, 289, 16737, 411, 315, 1235, 622, 9593, 30, 21094, 3602, 2410, 7885, 2780, 1269, 6281, 309, 34077, 5066, 18, 478, 5786, 5428, 16, 309, 2456, 2463, 2725, 487, 3608, 266, 14839, 309, 1335, 11056, 289, 16328, 5977, 4641, 703, 282, 7342, 18, 7537, 7946, 16, 417, 939, 2898, 306, 2174, 6843, 16, 510, 4848, 3883, 307, 4453, 3251, 1147, 38397, 18, 651, 740, 417, 2944, 445, 36166, 1195, 2184, 13842, 11616, 18, 18853, 12707, 5971, 14892, 290, 1435, 496, 16992, 18, 7500, 302, 862, 784, 6392, 18, 629, 2172, 10146, 281, 18283, 16, 14088, 36929, 5578, 289, 11620, 2409, 478, 1605, 551, 5097, 470, 16459, 433, 3663, 403, 748, 8676, 18, 1012, 48220, 349, 18823, 898, 541, 703, 1462, 5056, 18, 6644, 445, 16, 785, 703, 29013, 309, 26070, 282, 3106, 12063, 670, 19574, 16, 481, 639, 40077, 355, 16, 289, 417, 34829, 4286, 16, 1085, 22499, 784, 18, 740, 1314, 808, 7631, 18, 629, 8599, 34739, 799, 10386, 8941, 2409, 7342, 9460, 18, 40767, 411, 478, 31538, 38170, 470, 685, 20907, 16, 515, 417, 2060, 16, 374, 3404, 25891, 3003, 16, 32193, 3977, 282, 478, 1605, 551, 2467, 861, 3397, 417, 3027, 4037, 27984, 6149, 309, 970, 16, 753, 4366, 10434, 953, 28827, 861, 365, 9220, 2529, 13186, 3883, 307, 14084, 478, 780, 4298, 470, 1011, 2511, 986, 1715, 30394, 2736, 432, 29236, 18, 365, 11258, 17, 9989, 19, 3420, 32124, 9724, 1756, 282, 5137, 16, 5511, 29109, 309, 25283, 670, 35888, 309, 41093, 44873, 18, 8859, 6548, 9680, 3871, 454, 307, 34041, 1258, 18895, 1192, 46060, 957, 2963, 11033, 360, 13546, 324, 764, 3255, 16, 2686, 282, 1500, 445, 7003, 432, 13500, 541, 24176, 20700, 26271, 5539, 322, 27831, 18, 15712, 285, 322, 38678, 16, 374, 322, 29569, 309, 48810, 324, 15976, 16, 5029, 8568, 20382, 6688, 282, 26611, 5625, 26407, 354, 392, 48853, 10754, 272, 16, 40948, 1508, 472, 19324, 915, 554, 289, 28572, 2101, 26414, 623, 18, 365, 4722, 445, 3883, 307, 371, 1755, 271, 5973, 454, 478, 8719, 432, 7374, 355, 470, 282, 2566, 547, 23376, 16180, 5538, 281, 6542, 1318, 4304, 1703, 478, 618, 16470, 3032, 470, 473, 22, 30, 20, 814, 365, 37553, 482, 1192, 46060, 957, 19346, 11350, 17, 38093, 10248, 7586, 309, 6374, 17, 295, 20537, 18, 7249, 309, 322, 35700, 647, 14881, 2235, 281, 15825, 16, 282, 25982, 1754, 24026, 334, 48664, 1034, 1866, 2852, 445, 14393, 937, 21575, 17, 326, 877, 16, 334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6740, 40657, 289, 30855, 16287, 942, 16228, 309, 7759, 4183, 40657, 18, 2, 1, 87, 1456, 81, 2448, 30, 21126, 411, 3322, 11241, 32462, 9460, 21094, 3602, 3883, 307, 13016, 14261, 282, 9526, 7342, 18, 5741, 17, 7745, 39914, 1623, 12916, 12968, 620, 282, 722, 3182, 289, 9225, 11464, 1756, 334, 20740, 34396, 16287, 18, 365, 4101, 3142, 3883, 307, 5042, 364, 17815, 309, 4577, 281, 5815, 680, 19838, 761, 18, 31224, 30, 10269, 879, 1619, 6779, 32124, 9460, 282, 29304, 10277, 21094, 3602, 3883, 307, 10218, 290, 34838, 29236, 349, 34154, 8616, 18, 824, 3163, 36766, 16, 19665, 2636, 2117, 349, 8616, 478, 789, 10752, 49211, 470, 12816, 906, 505, 38068, 1734, 3148, 2840, 289, 31039, 47280, 27617, 18, 3883, 307, 29608, 1209, 16, 1085, 478, 1961, 1114, 1177, 3971, 281, 1498, 910, 289, 13749, 16, 374, 9721, 808, 43971, 1756, 35438, 13111, 11358, 18, 608, 2546, 13097, 403, 1020, 285, 871, 16, 371, 22663, 2151, 551, 864, 379, 16, 31112, 282, 5271, 27408, 7342, 282, 12500, 8311, 779, 282, 7353, 2123, 986, 16, 3429, 309, 1500, 2083, 3818, 16465, 28067, 4966, 282, 3182, 473, 1198, 779, 6396, 505, 15513, 1271, 364, 32594, 16164, 17088, 266, 16, 1029, 4223, 309, 25283, 16, 10265, 309, 8653, 2868, 26149, 814, 365, 970, 575, 8311, 17, 277, 16, 1286, 3597, 16, 3883, 307, 1559, 289, 3818, 1382, 536, 17519, 37253, 7342, 9460, 473, 3420, 986, 816, 3420, 2868, 814, 439, 8802, 7520, 17, 361, 6973, 364, 289, 2842, 5785, 15513, 428, 3560, 5834, 5184, 37253, 309, 27304, 2496, 1209, 2044, 18, 608, 482, 3214, 9923, 16, 374, 519, 32878, 282, 4698, 8616, 2553, 3883, 307, 11179, 11598, 2195, 282, 20313, 1133, 3191, 448, 1770, 3114, 16, 1770, 3420, 289, 1770, 1618, 18, 30233, 5897, 4523, 10133, 282, 5973, 582, 281, 17659, 416, 10721, 31623, 323, 492, 7609, 2287, 4120, 4145, 779, 309, 22322, 1212, 478, 1140, 5830, 1908, 861, 32710, 16536, 1154, 24175, 46668, 282, 360, 22339, 294, 4027, 552, 2422, 510, 11826, 16, 367, 722, 5222, 8782, 27420, 475, 6374, 1879, 16, 515, 322, 2564, 2401, 5873, 18, 5043, 16, 3883, 307, 289, 749, 924, 1623, 12916, 12968, 620, 7342, 282, 3182, 651, 17736, 32657, 282, 35763, 16702, 18, 12092, 17659, 451, 47487, 15330, 1034, 364, 2467, 20727, 309, 4577, 5511, 1047, 473, 2783, 25, 9691, 814, 8071, 1289, 3883, 307, 7739, 23159, 281, 7583, 7342, 651, 289, 5826, 4570, 322, 2410, 18397, 18, 365, 12354, 5653, 779, 31414, 329, 7367, 7168, 282, 478, 1098, 545, 7478, 470, 282, 39676, 9155, 17139, 294, 27304, 17, 18777, 18, 20145, 16786, 1655, 282, 18378, 263, 20700, 11471, 6844, 2948, 282, 8151, 4183, 3298, 429, 16, 2686, 1011, 21842, 8440, 526, 35111, 4104, 623, 6235, 5568, 10645, 50172, 473, 22, 30, 21, 814, 365, 12938, 4145, 17, 361, 3883, 307, 48255, 2911, 360, 636, 4041, 23088, 1879, 519, 1360, 26403, 282, 8267, 1279, 1175, 309, 12013, 5538, 567, 5670, 473, 21, 30, 21, 814, 5333, 2175, 16, 309, 34472, 17, 28028, 282, 6633, 8362, 492, 2820, 322, 26981, 282, 5703, 30490, 19574, 7342, 9460, 651, 4853, 374, 282, 3106, 35643, 670, 19361, 17565, 18, 5181, 16, 764, 519, 19683, 10744, 3883, 307, 14697, 36503, 4609, 1166, 505, 16171, 11246, 282, 6127, 7576, 17802, 5971, 2857, 2725, 487, 3608, 354, 309, 20665, 18, 8985, 38331, 478, 789, 10752, 49211, 470, 4726, 5073, 22829, 309, 1888, 31082, 18, 967, 803, 10896, 3883, 307, 322, 2397, 282, 7204, 1750, 8058, 4602, 2198, 7713, 18, 981, 16, 282, 2343, 3802, 975, 2417, 9496, 9817, 16, 2686, 2725, 487, 3608, 266, 14335, 341, 20597, 4119, 282, 31277, 7342, 2555, 17, 41397, 6727, 353, 6999, 488, 1624, 367, 282, 3178, 978, 779, 11451, 32970, 12060, 17, 11884, 1467, 320, 5983, 324, 4342, 12513, 18, 365, 1750, 3883, 307, 16, 3754, 16, 3014, 14446, 2904, 309, 17336, 16, 961, 12674, 27411, 349, 3142, 29236, 16, 289, 16737, 411, 315, 1235, 622, 9593, 30, 21094, 3602, 2410, 7885, 2780, 1269, 6281, 309, 34077, 5066, 18, 478, 5786, 5428, 16, 309, 2456, 2463, 2725, 487, 3608, 266, 14839, 309, 1335, 11056, 289, 16328, 5977, 4641, 703, 282, 7342, 18, 7537, 7946, 16, 417, 939, 2898, 306, 2174, 6843, 16, 510, 4848, 3883, 307, 4453, 3251, 1147, 38397, 18, 651, 740, 417, 2944, 445, 36166, 1195, 2184, 13842, 11616, 18, 18853, 12707, 5971, 14892, 290, 1435, 496, 16992, 18, 7500, 302, 862, 784, 6392, 18, 629, 2172, 10146, 281, 18283, 16, 14088, 36929, 5578, 289, 11620, 2409, 478, 1605, 551, 5097, 470, 16459, 433, 3663, 403, 748, 8676, 18, 1012, 48220, 349, 18823, 898, 541, 703, 1462, 5056, 18, 6644, 445, 16, 785, 703, 29013, 309, 26070, 282, 3106, 12063, 670, 19574, 16, 481, 639, 40077, 355, 16, 289, 417, 34829, 4286, 16, 1085, 22499, 784, 18, 740, 1314, 808, 7631, 18, 629, 8599, 34739, 799, 10386, 8941, 2409, 7342, 9460, 18, 40767, 411, 478, 31538, 38170, 470, 685, 20907, 16, 515, 417, 2060, 16, 374, 3404, 25891, 3003, 16, 32193, 3977, 282, 478, 1605, 551, 2467, 861, 3397, 417, 3027, 4037, 27984, 6149, 309, 970, 16, 753, 4366, 10434, 953, 28827, 861, 365, 9220, 2529, 13186, 3883, 307, 14084, 478, 780, 4298, 470, 1011, 2511, 986, 1715, 30394, 2736, 432, 29236, 18, 365, 11258, 17, 9989, 19, 3420, 32124, 9724, 1756, 282, 5137, 16, 5511, 29109, 309, 25283, 670, 35888, 309, 41093, 44873, 18, 8859, 6548, 9680, 3871, 454, 307, 34041, 1258, 18895, 1192, 46060, 957, 2963, 11033, 360, 13546, 324, 764, 3255, 16, 2686, 282, 1500, 445, 7003, 432, 13500, 541, 24176, 20700, 26271, 5539, 322, 27831, 18, 15712, 285, 322, 38678, 16, 374, 322, 29569, 309, 48810, 324, 15976, 16, 5029, 8568, 20382, 6688, 282, 26611, 5625, 26407, 354, 392, 48853, 10754, 272, 16, 40948, 1508, 472, 19324, 915, 554, 289, 28572, 2101, 26414, 623, 18, 365, 4722, 445, 3883, 307, 371, 1755, 271, 5973, 454, 478, 8719, 432, 7374, 355, 470, 282, 2566, 547, 23376, 16180, 5538, 281, 6542, 1318, 4304, 1703, 478, 618, 16470, 3032, 470, 473, 22, 30, 20, 814, 365, 37553, 482, 1192, 46060, 957, 19346, 11350, 17, 38093, 10248, 7586, 309, 6374, 17, 295, 20537, 18, 7249, 309, 322, 35700, 647, 14881, 2235, 281, 15825, 16, 282, 25982, 1754, 24026, 334, 48664, 1034, 1866, 2852, 445, 14393, 937, 21575, 17, 326, 877, 16, 334 ]
[ 7633, 651, 26567, 9460, 289, 2151, 877, 17793, 16, 492, 14119, 411, 8882, 390, 5967, 282, 31964, 15477, 23637, 2314, 282, 3216, 416, 3182, 30, 2706, 23, 37253, 349, 29944, 281, 23137, 16287, 18, 832, 36434, 3883, 307, 17794, 9332, 289, 1441, 16, 1137, 35526, 282, 40024, 10145, 1033, 8660, 434, 478, 1605, 551, 5097, 470, 411, 2151, 551, 864, 379, 18, 996, 16, 1011, 5790, 6740, 13767, 439, 26817, 17, 32008, 19, 2692, 281, 478, 31538, 29238, 470, 473, 21, 30, 21, 13, 492, 4426, 42889, 1322, 3787, 6320, 1528, 4445, 336, 18573, 29642, 2127, 3010, 454, 282, 1156, 1593, 282, 18904, 547, 25308, 913, 7561, 9460, 18, 12092, 1176, 24026, 282, 3182, 17363, 1143, 651, 47074, 29333, 7857, 298, 269, 411, 478, 27296, 343, 3497, 470, 473, 22, 5584, 814, 365, 23071, 478, 1605, 551, 5097, 910, 282, 1029, 3883, 307, 5264, 478, 660, 7470, 874, 910, 492, 45410, 281, 11020, 1672, 6764, 18, 4635, 6934, 282, 3998, 6383, 17, 292, 14676, 309, 965, 2904, 2098, 27551, 478, 780, 4298, 910, 1888, 23904, 289, 9526, 7342, 16, 367, 1038, 1559, 3818, 1382, 536, 336, 707, 1117, 4520, 478, 265, 4807, 368, 470, 473, 275, 2261, 986, 13, 289, 35452, 2990, 34000, 478, 48276, 1116, 35359, 14504, 18569, 861, 6422, 16, 3333, 34450, 6881, 3883, 307, 12916, 28067, 2553, 1728, 11358, 18, 1397, 393, 16, 10780, 282, 24349, 31094, 1034, 21796, 13449, 764, 939, 7885, 18, 4320, 374, 505, 8232, 31239, 2297, 1020, 643, 19431, 24845, 18, 5890, 282, 11946, 478, 1605, 551, 2467, 470, 24905, 47149, 10133, 40793, 22979, 17, 21131, 17139, 16180, 5538, 1279, 478, 1916, 686, 554, 343, 470, 282, 4246, 326, 464, 18, 12404, 4765, 2598, 8096, 2271, 1734, 25771, 520, 551, 10595, 1275, 473, 22, 30, 20, 814, 12725, 334, 4547, 16, 5910, 1161, 11918, 773, 3716, 8026, 1390, 18, 385, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 16228, 309, 7759, 14504, 18569, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 24073, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 33929, 1162, 48618, 343, 2041, 798, 42315, 19698, 3601, 6973, 4651, 282, 10666, 16414, 1234, 15319, 16, 6448, 10551, 4239, 14036, 27538, 24009, 309, 11464, 1756, 16, 289, 3429, 3453, 2842, 5785, 4056, 8187, 761, 2422, 18, 893, 31655, 8909, 38003, 22403, 8824, 309, 14515, 1718, 4762, 18, 365, 4056, 2045, 10505, 28799, 776, 35612, 9713, 322, 4243, 510, 3568, 333, 1467, 368, 10754, 9280, 11623, 25941, 1519, 16, 367, 9805, 48618, 6363, 30110, 2895, 405, 17741, 309, 5270, 15852, 18, 31224, 30, 33929, 1162, 48618, 343, 2041, 798, 42315, 282, 27596, 445, 282, 1360, 24087, 2756, 4056, 8187, 761, 2422, 18, 365, 4676, 7475, 28799, 1234, 15319, 16, 6489, 4068, 282, 10666, 309, 17292, 3614, 3320, 16, 1281, 3750, 16, 2689, 343, 29575, 1154, 12897, 2127, 11471, 454, 4239, 14036, 27538, 24009, 18, 967, 803, 2041, 798, 2756, 3453, 2842, 5785, 48618, 761, 16, 16844, 36627, 21291, 4056, 8187, 382, 2422, 18, 3397, 1450, 5741, 1205, 16, 1032, 5196, 289, 3436, 2299, 18, 4756, 481, 24374, 48598, 19753, 569, 2827, 42315, 17, 25253, 1027, 26060, 625, 551, 266, 1624, 1754, 30759, 34509, 28799, 1234, 14437, 16, 785, 1450, 639, 2555, 986, 2287, 4776, 289, 816, 2299, 18, 13699, 343, 19698, 3601, 32542, 5543, 33190, 4426, 25307, 309, 19843, 282, 2667, 6755, 1195, 23253, 680, 48618, 761, 2075, 932, 403, 6397, 1161, 309, 12159, 430, 19, 24, 21451, 18, 365, 23708, 962, 2041, 798, 497, 8360, 281, 4084, 355, 38003, 293, 1161, 16, 367, 1215, 282, 5251, 4357, 35107, 49266, 27538, 24009, 16, 515, 475, 3066, 2756, 4056, 8187, 761, 2422, 18, 478, 1358, 453, 683, 7251, 2373, 977, 16, 374, 322, 2447, 28450, 479, 5886, 18, 629, 7801, 1248, 939, 7457, 289, 2002, 322, 7738, 16, 374, 20652, 309, 34509, 28799, 910, 510, 10703, 385, 1395, 798, 18, 3791, 282, 3609, 17, 2932, 14922, 28799, 4243, 2072, 1272, 5836, 18, 13699, 343, 46285, 363, 12458, 9192, 29575, 1154, 7813, 454, 27742, 552, 8790, 447, 16, 367, 11854, 343, 15726, 50149, 2036, 1773, 3907, 3450, 48618, 454, 1614, 14976, 2763, 297, 611, 18, 1397, 5327, 5781, 11471, 368, 16, 502, 282, 4056, 1581, 404, 47360, 3103, 5854, 2543, 1175, 16, 19621, 411, 1639, 21727, 8909, 38003, 22403, 1624, 2412, 3308, 18326, 1756, 282, 6571, 34434, 18, 23246, 41124, 289, 8909, 34858, 32813, 6933, 309, 1912, 289, 2418, 1718, 4762, 8774, 16, 367, 15726, 50149, 289, 25486, 4104, 623, 928, 3340, 16157, 334, 6661, 10009, 289, 36784, 309, 667, 289, 4518, 46643, 18, 10261, 10071, 5539, 9225, 5741, 17, 263, 1756, 16, 367, 16974, 44497, 7087, 3645, 282, 3609, 17, 3324, 289, 9225, 11281, 17, 306, 10839, 18, 2041, 798, 1038, 13394, 309, 21578, 4367, 1756, 282, 349, 15656, 14007, 680, 25678, 1234, 15319, 18, 9051, 14555, 282, 23356, 14452, 282, 26244, 298, 16, 2689, 343, 2036, 1773, 1423, 19753, 569, 2825, 46285, 363, 12458, 9192, 18, 3791, 5471, 8531, 2159, 5510, 38003, 22403, 16, 1586, 1441, 9225, 13150, 4367, 1756, 282, 14007, 680, 34042, 18, 640, 3441, 10839, 13394, 289, 16974, 44497, 16, 289, 309, 2852, 510, 10319, 8324, 287, 307, 18, 28865, 4309, 282, 4784, 349, 15656, 14007, 680, 25678, 1234, 15319, 5702, 12897, 1162, 48618, 343, 22216, 27538, 24009, 16, 1586, 309, 1912, 2932, 12994, 21384, 12977, 48317, 6959, 3169, 2825, 510, 294, 8568, 27586, 640, 2151, 18, 365, 4056, 2045, 10505, 28799, 776, 35612, 4302, 9713, 322, 4243, 18, 39153, 3568, 333, 1467, 368, 10754, 9280, 11623, 25941, 1519, 16, 309, 7422, 2468, 40599, 15176, 613, 3733, 26142, 5819, 423, 269, 1624, 367, 11346, 7416, 49567, 7878, 22122, 440, 1356, 2422, 3909, 354, 6147, 28966, 2101, 1532, 18, 34141, 1737, 2845, 516, 39061, 8814, 1577, 30308, 388, 10105, 433, 16, 1029, 309, 13519, 11056, 17060, 1595, 2615, 20665, 1011, 17336, 18, 365, 4056, 1581, 404, 12378, 2846, 14840, 1175, 18, 6070, 42769, 9225, 9817, 17, 263, 1756, 16, 6363, 30110, 2895, 405, 17741, 309, 5270, 15852, 510, 1441, 47143, 14691, 17, 295, 18, 10618, 5035, 680, 289, 4944, 29308, 21860, 10952, 17, 263, 289, 6459, 17, 263, 2223, 8774, 18, 6019, 16, 4101, 7005, 289, 5510, 21658, 282, 11791, 5868, 776, 35612, 289, 1234, 15319, 942, 4897, 309, 7759, 22122, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 9865, 380, 5871 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7633, 651, 26567, 9460, 289, 2151, 877, 17793, 16, 492, 14119, 411, 8882, 390, 5967, 282, 31964, 15477, 23637, 2314, 282, 3216, 416, 3182, 30, 2706, 23, 37253, 349, 29944, 281, 23137, 16287, 18, 832, 36434, 3883, 307, 17794, 9332, 289, 1441, 16, 1137, 35526, 282, 40024, 10145, 1033, 8660, 434, 478, 1605, 551, 5097, 470, 411, 2151, 551, 864, 379, 18, 996, 16, 1011, 5790, 6740, 13767, 439, 26817, 17, 32008, 19, 2692, 281, 478, 31538, 29238, 470, 473, 21, 30, 21, 13, 492, 4426, 42889, 1322, 3787, 6320, 1528, 4445, 336, 18573, 29642, 2127, 3010, 454, 282, 1156, 1593, 282, 18904, 547, 25308, 913, 7561, 9460, 18, 12092, 1176, 24026, 282, 3182, 17363, 1143, 651, 47074, 29333, 7857, 298, 269, 411, 478, 27296, 343, 3497, 470, 473, 22, 5584, 814, 365, 23071, 478, 1605, 551, 5097, 910, 282, 1029, 3883, 307, 5264, 478, 660, 7470, 874, 910, 492, 45410, 281, 11020, 1672, 6764, 18, 4635, 6934, 282, 3998, 6383, 17, 292, 14676, 309, 965, 2904, 2098, 27551, 478, 780, 4298, 910, 1888, 23904, 289, 9526, 7342, 16, 367, 1038, 1559, 3818, 1382, 536, 336, 707, 1117, 4520, 478, 265, 4807, 368, 470, 473, 275, 2261, 986, 13, 289, 35452, 2990, 34000, 478, 48276, 1116, 35359, 14504, 18569, 861, 6422, 16, 3333, 34450, 6881, 3883, 307, 12916, 28067, 2553, 1728, 11358, 18, 1397, 393, 16, 10780, 282, 24349, 31094, 1034, 21796, 13449, 764, 939, 7885, 18, 4320, 374, 505, 8232, 31239, 2297, 1020, 643, 19431, 24845, 18, 5890, 282, 11946, 478, 1605, 551, 2467, 470, 24905, 47149, 10133, 40793, 22979, 17, 21131, 17139, 16180, 5538, 1279, 478, 1916, 686, 554, 343, 470, 282, 4246, 326, 464, 18, 12404, 4765, 2598, 8096, 2271, 1734, 25771, 520, 551, 10595, 1275, 473, 22, 30, 20, 814, 12725, 334, 4547, 16, 5910, 1161, 11918, 773, 3716, 8026, 1390, 18, 385, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 16228, 309, 7759, 14504, 18569, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 24073, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 33929, 1162, 48618, 343, 2041, 798, 42315, 19698, 3601, 6973, 4651, 282, 10666, 16414, 1234, 15319, 16, 6448, 10551, 4239, 14036, 27538, 24009, 309, 11464, 1756, 16, 289, 3429, 3453, 2842, 5785, 4056, 8187, 761, 2422, 18, 893, 31655, 8909, 38003, 22403, 8824, 309, 14515, 1718, 4762, 18, 365, 4056, 2045, 10505, 28799, 776, 35612, 9713, 322, 4243, 510, 3568, 333, 1467, 368, 10754, 9280, 11623, 25941, 1519, 16, 367, 9805, 48618, 6363, 30110, 2895, 405, 17741, 309, 5270, 15852, 18, 31224, 30, 33929, 1162, 48618, 343, 2041, 798, 42315, 282, 27596, 445, 282, 1360, 24087, 2756, 4056, 8187, 761, 2422, 18, 365, 4676, 7475, 28799, 1234, 15319, 16, 6489, 4068, 282, 10666, 309, 17292, 3614, 3320, 16, 1281, 3750, 16, 2689, 343, 29575, 1154, 12897, 2127, 11471, 454, 4239, 14036, 27538, 24009, 18, 967, 803, 2041, 798, 2756, 3453, 2842, 5785, 48618, 761, 16, 16844, 36627, 21291, 4056, 8187, 382, 2422, 18, 3397, 1450, 5741, 1205, 16, 1032, 5196, 289, 3436, 2299, 18, 4756, 481, 24374, 48598, 19753, 569, 2827, 42315, 17, 25253, 1027, 26060, 625, 551, 266, 1624, 1754, 30759, 34509, 28799, 1234, 14437, 16, 785, 1450, 639, 2555, 986, 2287, 4776, 289, 816, 2299, 18, 13699, 343, 19698, 3601, 32542, 5543, 33190, 4426, 25307, 309, 19843, 282, 2667, 6755, 1195, 23253, 680, 48618, 761, 2075, 932, 403, 6397, 1161, 309, 12159, 430, 19, 24, 21451, 18, 365, 23708, 962, 2041, 798, 497, 8360, 281, 4084, 355, 38003, 293, 1161, 16, 367, 1215, 282, 5251, 4357, 35107, 49266, 27538, 24009, 16, 515, 475, 3066, 2756, 4056, 8187, 761, 2422, 18, 478, 1358, 453, 683, 7251, 2373, 977, 16, 374, 322, 2447, 28450, 479, 5886, 18, 629, 7801, 1248, 939, 7457, 289, 2002, 322, 7738, 16, 374, 20652, 309, 34509, 28799, 910, 510, 10703, 385, 1395, 798, 18, 3791, 282, 3609, 17, 2932, 14922, 28799, 4243, 2072, 1272, 5836, 18, 13699, 343, 46285, 363, 12458, 9192, 29575, 1154, 7813, 454, 27742, 552, 8790, 447, 16, 367, 11854, 343, 15726, 50149, 2036, 1773, 3907, 3450, 48618, 454, 1614, 14976, 2763, 297, 611, 18, 1397, 5327, 5781, 11471, 368, 16, 502, 282, 4056, 1581, 404, 47360, 3103, 5854, 2543, 1175, 16, 19621, 411, 1639, 21727, 8909, 38003, 22403, 1624, 2412, 3308, 18326, 1756, 282, 6571, 34434, 18, 23246, 41124, 289, 8909, 34858, 32813, 6933, 309, 1912, 289, 2418, 1718, 4762, 8774, 16, 367, 15726, 50149, 289, 25486, 4104, 623, 928, 3340, 16157, 334, 6661, 10009, 289, 36784, 309, 667, 289, 4518, 46643, 18, 10261, 10071, 5539, 9225, 5741, 17, 263, 1756, 16, 367, 16974, 44497, 7087, 3645, 282, 3609, 17, 3324, 289, 9225, 11281, 17, 306, 10839, 18, 2041, 798, 1038, 13394, 309, 21578, 4367, 1756, 282, 349, 15656, 14007, 680, 25678, 1234, 15319, 18, 9051, 14555, 282, 23356, 14452, 282, 26244, 298, 16, 2689, 343, 2036, 1773, 1423, 19753, 569, 2825, 46285, 363, 12458, 9192, 18, 3791, 5471, 8531, 2159, 5510, 38003, 22403, 16, 1586, 1441, 9225, 13150, 4367, 1756, 282, 14007, 680, 34042, 18, 640, 3441, 10839, 13394, 289, 16974, 44497, 16, 289, 309, 2852, 510, 10319, 8324, 287, 307, 18, 28865, 4309, 282, 4784, 349, 15656, 14007, 680, 25678, 1234, 15319, 5702, 12897, 1162, 48618, 343, 22216, 27538, 24009, 16, 1586, 309, 1912, 2932, 12994, 21384, 12977, 48317, 6959, 3169, 2825, 510, 294, 8568, 27586, 640, 2151, 18, 365, 4056, 2045, 10505, 28799, 776, 35612, 4302, 9713, 322, 4243, 18, 39153, 3568, 333, 1467, 368, 10754, 9280, 11623, 25941, 1519, 16, 309, 7422, 2468, 40599, 15176, 613, 3733, 26142, 5819, 423, 269, 1624, 367, 11346, 7416, 49567, 7878, 22122, 440, 1356, 2422, 3909, 354, 6147, 28966, 2101, 1532, 18, 34141, 1737, 2845, 516, 39061, 8814, 1577, 30308, 388, 10105, 433, 16, 1029, 309, 13519, 11056, 17060, 1595, 2615, 20665, 1011, 17336, 18, 365, 4056, 1581, 404, 12378, 2846, 14840, 1175, 18, 6070, 42769, 9225, 9817, 17, 263, 1756, 16, 6363, 30110, 2895, 405, 17741, 309, 5270, 15852, 510, 1441, 47143, 14691, 17, 295, 18, 10618, 5035, 680, 289, 4944, 29308, 21860, 10952, 17, 263, 289, 6459, 17, 263, 2223, 8774, 18, 6019, 16, 4101, 7005, 289, 5510, 21658, 282, 11791, 5868, 776, 35612, 289, 1234, 15319, 942, 4897, 309, 7759, 22122, 507, 18, 2, 1, 87, 1456, 81, 2448, 30, 9865, 380, 5871 ]
[ 32827, 675, 33532, 3064, 19428, 7355, 332, 6816, 41861, 401, 16, 2914, 326, 2822, 2123, 8243, 19774, 16, 3279, 639, 360, 1286, 519, 2511, 986, 18, 1367, 33532, 265, 23466, 20664, 16886, 16, 1548, 374, 10566, 1545, 282, 5049, 1045, 17704, 478, 272, 436, 310, 797, 7787, 861, 31224, 30, 677, 9937, 2438, 3665, 16, 374, 10552, 282, 5871, 32827, 452, 685, 4155, 2365, 309, 10866, 10901, 1545, 309, 2123, 986, 349, 2914, 1070, 27508, 1608, 47143, 3720, 41861, 291, 18, 1367, 803, 3110, 1657, 32827, 17846, 1162, 9063, 969, 4578, 838, 42799, 76, 22172, 18, 39434, 3822, 364, 16, 27782, 2024, 2458, 2123, 29295, 1657, 32827, 27058, 273, 473, 1386, 19001, 18100, 973, 510, 360, 7518, 519, 2511, 986, 934, 7757, 424, 33532, 306, 16, 3696, 10460, 45293, 8686, 5871, 32827, 675, 391, 5141, 304, 2901, 395, 2603, 18, 2667, 44454, 770, 1279, 1047, 37976, 41861, 291, 17455, 3059, 42436, 8840, 22128, 48953, 2241, 1802, 20514, 969, 3105, 473, 1295, 482, 265, 451, 5081, 934, 1372, 4028, 282, 5871, 32827, 452, 16, 289, 11391, 39967, 5115, 334, 25005, 14496, 1873, 10580, 2406, 281, 2901, 363, 1285, 10669, 339, 23786, 282, 4843, 18442, 3763, 510, 10786, 5792, 12177, 1177, 4871, 478, 482, 297, 4548, 10010, 496, 861, 25344, 7742, 22625, 9597, 5698, 326, 17201, 16, 43221, 2914, 5700, 2368, 27508, 1608, 16, 567, 808, 15140, 1101, 22244, 718, 19428, 7355, 332, 27655, 10223, 391, 1154, 1624, 1029, 16, 282, 6588, 360, 41861, 401, 16, 541, 1634, 329, 5497, 41313, 29295, 24641, 18, 1241, 10805, 18137, 282, 5653, 1045, 16, 1830, 492, 685, 28809, 282, 31692, 764, 282, 7520, 1045, 16, 785, 282, 12462, 5823, 8234, 22424, 1237, 2533, 281, 505, 12070, 18, 4802, 401, 7768, 322, 1833, 3225, 9025, 505, 12902, 30, 13421, 3247, 21025, 837, 309, 39958, 639, 322, 1349, 2306, 18, 9570, 16, 18879, 1164, 4371, 290, 6342, 26373, 3280, 4044, 16, 745, 13517, 16, 374, 309, 2923, 5871, 32827, 675, 9728, 764, 1176, 17035, 451, 19428, 3822, 364, 18, 999, 41861, 2509, 9601, 2280, 11032, 18, 365, 12354, 5653, 779, 492, 685, 20817, 18, 7909, 18952, 5539, 31764, 334, 38601, 282, 2914, 2431, 7518, 29295, 18, 2112, 11103, 917, 5606, 37976, 764, 2511, 19774, 12002, 16, 374, 2458, 27782, 2914, 326, 1887, 18, 5043, 16, 309, 12564, 13076, 3225, 687, 2123, 8640, 43547, 18802, 18, 824, 36880, 21408, 1624, 36560, 29838, 16, 374, 41861, 291, 821, 2022, 349, 17090, 281, 18708, 5681, 360, 4843, 25, 519, 4843, 22, 2634, 18, 365, 12838, 5049, 779, 1551, 10954, 41861, 11118, 10180, 26446, 10566, 289, 43209, 505, 294, 2123, 17912, 17703, 8124, 18, 38659, 10901, 2198, 415, 610, 15080, 300, 10566, 304, 685, 35801, 30, 492, 2815, 16, 374, 505, 478, 7096, 645, 651, 10193, 1135, 289, 322, 1943, 953, 49441, 1472, 1548, 16, 374, 4136, 17, 299, 8109, 15075, 309, 1047, 9841, 910, 10624, 3064, 505, 478, 15210, 861, 365, 11872, 4479, 779, 1657, 32827, 17846, 778, 1551, 5009, 2022, 41861, 11118, 3017, 15857, 519, 1488, 986, 18, 18129, 639, 7239, 309, 9185, 924, 16, 374, 41861, 291, 8409, 18280, 329, 1634, 9994, 289, 1223, 5478, 5871, 32827, 675, 289, 14403, 16, 374, 492, 11771, 1904, 2946, 10786, 11710, 18, 478, 4670, 885, 1063, 1423, 16789, 16, 417, 3027, 18709, 18280, 329, 5478, 5871, 32827, 675, 289, 329, 4481, 5240, 9994, 289, 10312, 1551, 8659, 541, 703, 9107, 2837, 13742, 910, 510, 10624, 4110, 505, 10786, 5792, 18, 35500, 2357, 12783, 19428, 3822, 26276, 18749, 49649, 11784, 1237, 329, 18100, 973, 289, 697, 30556, 18, 38659, 2059, 411, 18100, 973, 740, 1152, 9833, 3213, 2815, 282, 7337, 21408, 16, 374, 478, 5400, 2078, 840, 4525, 36300, 281, 8459, 10566, 304, 861, 30858, 742, 2107, 15543, 19428, 7355, 332, 10611, 297, 8882, 305, 38033, 288, 1475, 18952, 5539, 428, 478, 2378, 434, 1631, 16, 2024, 2955, 29653, 411, 16886, 11593, 478, 3001, 8219, 1893, 2764, 322, 687, 282, 12290, 548, 16, 492, 764, 30586, 349, 17090, 281, 9154, 861, 365, 4440, 1045, 41861, 11118, 10849, 764, 1143, 30, 492, 4167, 282, 2875, 33233, 33532, 5856, 45293, 8686, 18, 23569, 16886, 2901, 363, 1285, 10669, 379, 16, 282, 1754, 15034, 709, 33608, 16, 378, 1447, 4832, 562, 324, 4848, 16, 374, 20664, 16886, 23466, 8686, 391, 5141, 3372, 2901, 395, 2603, 381, 33532, 265, 541, 41861, 401, 16, 1548, 374, 478, 356, 5354, 797, 7787, 349, 808, 16, 2454, 3732, 282, 17063, 861, 44550, 484, 520, 41861, 291, 282, 5871, 32827, 452, 670, 14828, 309, 20017, 16, 1055, 10480, 18, 47245, 10936, 5781, 9985, 712, 282, 5871, 32827, 452, 1055, 322, 3225, 18, 4756, 3771, 2657, 12143, 282, 5871, 32827, 1744, 10159, 381, 14617, 488, 553, 16259, 16197, 8778, 274, 3340, 473, 356, 575, 3720, 41861, 291, 13, 334, 38601, 282, 44304, 41939, 329, 965, 309, 22993, 18, 2046, 7064, 5871, 32827, 675, 10159, 322, 14001, 23447, 18, 7743, 41861, 401, 5121, 3818, 22304, 349, 2651, 5901, 5871, 32827, 675, 411, 17, 431, 7919, 18100, 973, 360, 859, 1731, 29295, 18, 6319, 392, 16, 1628, 10607, 2848, 282, 30636, 781, 289, 22005, 282, 17329, 20043, 1624, 12177, 478, 287, 339, 541, 19428, 3822, 19937, 910, 2686, 1293, 986, 2158, 9770, 5871, 32827, 675, 41483, 19338, 39108, 4000, 289, 4463, 40247, 30183, 1279, 14866, 17090, 17, 32231, 12661, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 483, 383, 468, 8448, 5355, 478, 11108, 669, 5752, 470, 282, 5214, 10208, 424, 11616, 18, 7287, 1183, 4534, 16643, 2726, 16336, 13676, 282, 38009, 1157, 16, 2382, 2636, 481, 867, 16, 374, 5482, 322, 2286, 467, 16387, 1011, 2930, 7468, 19922, 553, 2808, 347, 18, 48300, 1664, 669, 322, 22806, 289, 40649, 3604, 6555, 20118, 282, 5214, 16, 367, 827, 289, 722, 322, 2574, 5317, 510, 6863, 44061, 22085, 18, 31224, 30, 1098, 12397, 478, 1098, 13230, 10435, 470, 4210, 19582, 433, 2279, 1011, 19934, 282, 31678, 4534, 6463, 282, 3177, 15797, 16, 374, 7064, 322, 3957, 2574, 1086, 478, 11108, 301, 5752, 861, 4707, 6809, 783, 15837, 5848, 505, 1286, 3598, 334, 28441, 4625, 360, 7075, 748, 399, 1809, 519, 8882, 3832, 416, 6394, 281, 24118, 304, 309, 9268, 18, 37969, 2879, 906, 6886, 349, 1119, 519, 289, 324, 272, 37412, 9001, 9620, 18, 478, 780, 599, 1183, 8123, 22482, 48049, 309, 38335, 13226, 2127, 48164, 668, 289, 24118, 282, 38009 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 32827, 675, 33532, 3064, 19428, 7355, 332, 6816, 41861, 401, 16, 2914, 326, 2822, 2123, 8243, 19774, 16, 3279, 639, 360, 1286, 519, 2511, 986, 18, 1367, 33532, 265, 23466, 20664, 16886, 16, 1548, 374, 10566, 1545, 282, 5049, 1045, 17704, 478, 272, 436, 310, 797, 7787, 861, 31224, 30, 677, 9937, 2438, 3665, 16, 374, 10552, 282, 5871, 32827, 452, 685, 4155, 2365, 309, 10866, 10901, 1545, 309, 2123, 986, 349, 2914, 1070, 27508, 1608, 47143, 3720, 41861, 291, 18, 1367, 803, 3110, 1657, 32827, 17846, 1162, 9063, 969, 4578, 838, 42799, 76, 22172, 18, 39434, 3822, 364, 16, 27782, 2024, 2458, 2123, 29295, 1657, 32827, 27058, 273, 473, 1386, 19001, 18100, 973, 510, 360, 7518, 519, 2511, 986, 934, 7757, 424, 33532, 306, 16, 3696, 10460, 45293, 8686, 5871, 32827, 675, 391, 5141, 304, 2901, 395, 2603, 18, 2667, 44454, 770, 1279, 1047, 37976, 41861, 291, 17455, 3059, 42436, 8840, 22128, 48953, 2241, 1802, 20514, 969, 3105, 473, 1295, 482, 265, 451, 5081, 934, 1372, 4028, 282, 5871, 32827, 452, 16, 289, 11391, 39967, 5115, 334, 25005, 14496, 1873, 10580, 2406, 281, 2901, 363, 1285, 10669, 339, 23786, 282, 4843, 18442, 3763, 510, 10786, 5792, 12177, 1177, 4871, 478, 482, 297, 4548, 10010, 496, 861, 25344, 7742, 22625, 9597, 5698, 326, 17201, 16, 43221, 2914, 5700, 2368, 27508, 1608, 16, 567, 808, 15140, 1101, 22244, 718, 19428, 7355, 332, 27655, 10223, 391, 1154, 1624, 1029, 16, 282, 6588, 360, 41861, 401, 16, 541, 1634, 329, 5497, 41313, 29295, 24641, 18, 1241, 10805, 18137, 282, 5653, 1045, 16, 1830, 492, 685, 28809, 282, 31692, 764, 282, 7520, 1045, 16, 785, 282, 12462, 5823, 8234, 22424, 1237, 2533, 281, 505, 12070, 18, 4802, 401, 7768, 322, 1833, 3225, 9025, 505, 12902, 30, 13421, 3247, 21025, 837, 309, 39958, 639, 322, 1349, 2306, 18, 9570, 16, 18879, 1164, 4371, 290, 6342, 26373, 3280, 4044, 16, 745, 13517, 16, 374, 309, 2923, 5871, 32827, 675, 9728, 764, 1176, 17035, 451, 19428, 3822, 364, 18, 999, 41861, 2509, 9601, 2280, 11032, 18, 365, 12354, 5653, 779, 492, 685, 20817, 18, 7909, 18952, 5539, 31764, 334, 38601, 282, 2914, 2431, 7518, 29295, 18, 2112, 11103, 917, 5606, 37976, 764, 2511, 19774, 12002, 16, 374, 2458, 27782, 2914, 326, 1887, 18, 5043, 16, 309, 12564, 13076, 3225, 687, 2123, 8640, 43547, 18802, 18, 824, 36880, 21408, 1624, 36560, 29838, 16, 374, 41861, 291, 821, 2022, 349, 17090, 281, 18708, 5681, 360, 4843, 25, 519, 4843, 22, 2634, 18, 365, 12838, 5049, 779, 1551, 10954, 41861, 11118, 10180, 26446, 10566, 289, 43209, 505, 294, 2123, 17912, 17703, 8124, 18, 38659, 10901, 2198, 415, 610, 15080, 300, 10566, 304, 685, 35801, 30, 492, 2815, 16, 374, 505, 478, 7096, 645, 651, 10193, 1135, 289, 322, 1943, 953, 49441, 1472, 1548, 16, 374, 4136, 17, 299, 8109, 15075, 309, 1047, 9841, 910, 10624, 3064, 505, 478, 15210, 861, 365, 11872, 4479, 779, 1657, 32827, 17846, 778, 1551, 5009, 2022, 41861, 11118, 3017, 15857, 519, 1488, 986, 18, 18129, 639, 7239, 309, 9185, 924, 16, 374, 41861, 291, 8409, 18280, 329, 1634, 9994, 289, 1223, 5478, 5871, 32827, 675, 289, 14403, 16, 374, 492, 11771, 1904, 2946, 10786, 11710, 18, 478, 4670, 885, 1063, 1423, 16789, 16, 417, 3027, 18709, 18280, 329, 5478, 5871, 32827, 675, 289, 329, 4481, 5240, 9994, 289, 10312, 1551, 8659, 541, 703, 9107, 2837, 13742, 910, 510, 10624, 4110, 505, 10786, 5792, 18, 35500, 2357, 12783, 19428, 3822, 26276, 18749, 49649, 11784, 1237, 329, 18100, 973, 289, 697, 30556, 18, 38659, 2059, 411, 18100, 973, 740, 1152, 9833, 3213, 2815, 282, 7337, 21408, 16, 374, 478, 5400, 2078, 840, 4525, 36300, 281, 8459, 10566, 304, 861, 30858, 742, 2107, 15543, 19428, 7355, 332, 10611, 297, 8882, 305, 38033, 288, 1475, 18952, 5539, 428, 478, 2378, 434, 1631, 16, 2024, 2955, 29653, 411, 16886, 11593, 478, 3001, 8219, 1893, 2764, 322, 687, 282, 12290, 548, 16, 492, 764, 30586, 349, 17090, 281, 9154, 861, 365, 4440, 1045, 41861, 11118, 10849, 764, 1143, 30, 492, 4167, 282, 2875, 33233, 33532, 5856, 45293, 8686, 18, 23569, 16886, 2901, 363, 1285, 10669, 379, 16, 282, 1754, 15034, 709, 33608, 16, 378, 1447, 4832, 562, 324, 4848, 16, 374, 20664, 16886, 23466, 8686, 391, 5141, 3372, 2901, 395, 2603, 381, 33532, 265, 541, 41861, 401, 16, 1548, 374, 478, 356, 5354, 797, 7787, 349, 808, 16, 2454, 3732, 282, 17063, 861, 44550, 484, 520, 41861, 291, 282, 5871, 32827, 452, 670, 14828, 309, 20017, 16, 1055, 10480, 18, 47245, 10936, 5781, 9985, 712, 282, 5871, 32827, 452, 1055, 322, 3225, 18, 4756, 3771, 2657, 12143, 282, 5871, 32827, 1744, 10159, 381, 14617, 488, 553, 16259, 16197, 8778, 274, 3340, 473, 356, 575, 3720, 41861, 291, 13, 334, 38601, 282, 44304, 41939, 329, 965, 309, 22993, 18, 2046, 7064, 5871, 32827, 675, 10159, 322, 14001, 23447, 18, 7743, 41861, 401, 5121, 3818, 22304, 349, 2651, 5901, 5871, 32827, 675, 411, 17, 431, 7919, 18100, 973, 360, 859, 1731, 29295, 18, 6319, 392, 16, 1628, 10607, 2848, 282, 30636, 781, 289, 22005, 282, 17329, 20043, 1624, 12177, 478, 287, 339, 541, 19428, 3822, 19937, 910, 2686, 1293, 986, 2158, 9770, 5871, 32827, 675, 41483, 19338, 39108, 4000, 289, 4463, 40247, 30183, 1279, 14866, 17090, 17, 32231, 12661, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 483, 383, 468, 8448, 5355, 478, 11108, 669, 5752, 470, 282, 5214, 10208, 424, 11616, 18, 7287, 1183, 4534, 16643, 2726, 16336, 13676, 282, 38009, 1157, 16, 2382, 2636, 481, 867, 16, 374, 5482, 322, 2286, 467, 16387, 1011, 2930, 7468, 19922, 553, 2808, 347, 18, 48300, 1664, 669, 322, 22806, 289, 40649, 3604, 6555, 20118, 282, 5214, 16, 367, 827, 289, 722, 322, 2574, 5317, 510, 6863, 44061, 22085, 18, 31224, 30, 1098, 12397, 478, 1098, 13230, 10435, 470, 4210, 19582, 433, 2279, 1011, 19934, 282, 31678, 4534, 6463, 282, 3177, 15797, 16, 374, 7064, 322, 3957, 2574, 1086, 478, 11108, 301, 5752, 861, 4707, 6809, 783, 15837, 5848, 505, 1286, 3598, 334, 28441, 4625, 360, 7075, 748, 399, 1809, 519, 8882, 3832, 416, 6394, 281, 24118, 304, 309, 9268, 18, 37969, 2879, 906, 6886, 349, 1119, 519, 289, 324, 272, 37412, 9001, 9620, 18, 478, 780, 599, 1183, 8123, 22482, 48049, 309, 38335, 13226, 2127, 48164, 668, 289, 24118, 282, 38009 ]
[ 7478, 18, 44486, 24853, 4364, 38275, 294, 2808, 554, 16, 510, 3828, 19582, 433, 2279, 18, 510, 1345, 322, 22806, 16, 4505, 34564, 12117, 1078, 16, 3984, 10846, 9744, 289, 29913, 309, 13957, 282, 5214, 861, 9668, 39193, 15352, 32331, 3623, 6096, 4809, 3690, 282, 20175, 281, 478, 7128, 305, 323, 18, 8381, 470, 15135, 16, 374, 48049, 22083, 6622, 360, 38009, 1051, 16, 367, 19917, 24118, 304, 424, 40915, 1703, 49824, 16, 988, 942, 9025, 16996, 18, 478, 3743, 656, 3984, 18582, 16, 764, 912, 808, 16, 510, 2548, 4809, 3690, 18, 510, 1286, 3598, 282, 5214, 840, 2930, 18104, 19922, 783, 2808, 347, 16, 475, 840, 282, 23648, 18, 1345, 1139, 322, 2286, 339, 1329, 16387, 16, 7869, 282, 6579, 16, 9025, 16996, 861, 45235, 742, 13744, 16, 374, 827, 17724, 19922, 553, 2808, 347, 12219, 334, 32605, 16, 502, 2930, 18104, 510, 282, 502, 575, 808, 16, 374, 289, 18623, 1658, 20581, 16, 502, 912, 5413, 18, 19582, 433, 2279, 1055, 322, 2548, 290, 970, 16, 374, 3038, 2574, 1086, 8882, 3832, 668, 2397, 24923, 424, 34713, 454, 18, 824, 3163, 2726, 1347, 8296, 16, 8448, 16427, 46978, 41368, 31655, 670, 20068, 1162, 8417, 510, 478, 5218, 525, 8417, 282, 11683, 14936, 4593, 18698, 861, 365, 1750, 827, 8417, 282, 5214, 5183, 1663, 2675, 322, 5844, 3461, 16, 19582, 433, 2279, 28035, 5848, 33126, 282, 12462, 289, 10449, 1512, 16, 6354, 520, 745, 6863, 309, 44061, 15920, 26314, 18, 478, 29579, 411, 12466, 31507, 16, 1293, 2634, 16, 322, 1513, 16, 753, 697, 2705, 4673, 910, 510, 9848, 492, 478, 46088, 18, 8381, 861, 478, 11108, 301, 5752, 470, 1943, 1852, 4056, 22128, 1069, 2206, 17344, 1011, 7756, 4586, 7126, 24268, 1798, 5017, 4028, 12010, 18, 478, 23662, 8658, 1247, 290, 29734, 2466, 10296, 2092, 620, 16, 5848, 4965, 277, 11740, 8902, 289, 34835, 2891, 46401, 30316, 30, 670, 387, 8278, 781, 2874, 5693, 16, 670, 656, 322, 3554, 406, 6934, 16, 510, 3153, 5222, 478, 1098, 13230, 10435, 470, 4419, 16, 17857, 4890, 290, 5941, 23095, 2150, 16308, 434, 4202, 18, 510, 10118, 16, 753, 13473, 1749, 411, 12466, 289, 8625, 414, 28221, 293, 290, 19427, 3920, 14571, 7876, 292, 282, 2281, 7492, 24330, 1408, 289, 34417, 1175, 16, 1586, 349, 9620, 861, 817, 3893, 16, 374, 3400, 1512, 309, 30211, 1286, 3598, 840, 13026, 1569, 294, 4099, 966, 11529, 4304, 18, 3529, 24118, 309, 37119, 416, 6394, 1533, 3972, 17379, 16, 334, 18980, 26649, 16, 6459, 2634, 1135, 16, 367, 21982, 309, 29176, 48427, 401, 3436, 3972, 510, 3417, 2634, 18, 365, 1576, 1165, 309, 11506, 9870, 867, 5547, 639, 23362, 282, 491, 4570, 3440, 18, 1286, 3598, 16, 5938, 424, 6279, 282, 11043, 5167, 38271, 16, 30111, 6696, 16794, 1223, 1061, 2634, 30, 19582, 433, 2279, 18590, 16, 374, 478, 11108, 301, 5752, 470, 510, 5267, 1089, 539, 18, 478, 11108, 301, 5752, 470, 322, 15998, 8448, 9383, 21982, 16, 12731, 11049, 309, 5973, 1133, 21332, 18, 996, 16, 1409, 3598, 38561, 3957, 5848, 33212, 301, 277, 348, 478, 15664, 879, 1332, 470, 289, 38167, 282, 1119, 289, 324, 272, 37412, 478, 275, 280, 380, 30007, 44902, 1040, 464, 626, 473, 684, 25186, 1999, 778, 28601, 510, 8985, 1870, 14916, 510, 3261, 503, 343, 13, 910, 367, 1038, 21450, 309, 25350, 37369, 2244, 289, 4619, 334, 1498, 478, 275, 3560, 5482, 2001, 861, 9928, 288, 1788, 18694, 23246, 10476, 306, 29180, 411, 4202, 478, 563, 823, 2674, 622, 861, 1253, 575, 25660, 1463, 282, 1576, 31691, 2845, 5782, 330, 2514, 8448, 5355, 1573, 2370, 430, 20581, 334, 12540, 629, 382, 1496, 582, 281, 24118, 304, 309, 37119, 416, 6394, 18, 824, 3163, 10476, 306, 7701, 2344, 16, 827, 21982, 430, 20581, 3848, 20653, 16, 502, 1286, 3598, 510, 726, 4586, 11306, 21982, 18, 2, 1, 87, 1456, 81, 2448, 30, 618, 35667, 539, 3003, 478, 293, 30511, 319, 7090, 470, 4862, 16, 20635, 13850, 722, 18836, 282, 6551, 16, 7006, 520, 360, 348, 7862, 329, 1710, 17117, 281, 13445, 506, 281, 24393, 304, 16, 515, 6996, 5168, 341, 3251, 668, 7522, 428, 22691, 16, 1029, 19790, 484, 322, 1552, 4697, 41498, 16, 367, 7982, 4868, 289, 21460, 5613, 18, 31224, 30, 13931, 490, 3857, 35065, 330, 25490, 27567, 281, 23245, 411, 3826, 1734, 40667, 282, 20030, 272, 16, 453, 2023, 16, 17933, 320, 4934, 16, 12665, 282, 2343, 4189, 16, 1833, 575, 1011, 13565, 3336, 9001, 9620, 18, 8281, 2188, 343, 17761, 6677, 1175, 4153, 10838, 7461, 23450, 289, 6798, 17, 43690, 6507, 9766, 473, 293, 2729, 1043, 564, 1533, 4691, 17, 23745, 11603, 2005, 12528, 16, 367, 1038, 450, 845, 35058, 12899, 31726, 13, 289, 30914, 41205, 9744, 281, 4239, 2610, 18365, 523, 27635, 18, 5890, 1655, 32964, 265, 16, 42390, 5800, 309, 46288, 21917, 547, 305, 3784, 9691, 16, 3887, 891, 1562, 16, 23958, 1437, 289, 11443, 24997, 1015, 16, 5860, 414, 18009, 18289, 16, 374, 3596, 3595, 7725, 1237, 1949, 2420, 2155, 28365, 538, 11325, 42251, 18, 4922, 49352, 431, 2742, 4524, 5559, 726, 309, 5421, 1119, 16, 785, 35045, 22813, 31544, 14924, 282, 6551, 6340, 2241, 27520, 6817, 1624, 11113, 1081, 282, 1335, 4008, 18990, 35332, 40616, 14223, 18, 6831, 15116, 478, 560, 806, 4436, 17963, 910, 42539, 17575, 27807, 1606, 15561, 1624, 30519, 18964, 289, 2521, 373, 4094, 468, 282, 40357, 1030, 42350, 38956, 476, 33118, 412, 1395, 798, 510, 19599, 289, 11762, 38031, 13415, 320, 317, 798, 18, 889, 2246, 1014, 2284, 473, 10767, 4823, 505, 15976, 13, 22204, 428, 17, 299, 24801, 1374, 2512, 309, 34927, 3010, 1011, 924, 16, 428, 282, 4335, 7338, 21641, 27520, 6817, 11060, 701, 34925, 289, 1329, 10049, 43706, 322, 639, 18, 45620, 32473, 1914, 8898, 2393, 7624, 617, 510, 15215, 668, 8934, 10145, 6340, 289, 12638, 445, 617, 18, 5043, 16, 764, 1248, 1293, 2868, 16, 6709, 16, 639, 12430, 266, 1569, 16, 374, 13547, 4523, 16126, 1502, 49935, 21689, 38201, 987, 16, 2031, 286, 289, 11771, 705, 2365, 16, 753, 18622, 8055, 309, 16785, 4096, 18, 640, 4698, 13696, 6276, 11198, 3626, 13518, 18, 2418, 4160, 40607, 49154, 2665, 27866, 281, 29582, 16, 374, 726, 322, 12355, 46845, 16, 367, 475, 18347, 7334, 350, 16677, 48582, 309, 13078, 281, 9609, 16688, 16, 11762, 25642, 864, 7976, 416, 11198, 1734, 34925, 16, 9600, 9996, 22366, 697, 14924, 18, 365 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7478, 18, 44486, 24853, 4364, 38275, 294, 2808, 554, 16, 510, 3828, 19582, 433, 2279, 18, 510, 1345, 322, 22806, 16, 4505, 34564, 12117, 1078, 16, 3984, 10846, 9744, 289, 29913, 309, 13957, 282, 5214, 861, 9668, 39193, 15352, 32331, 3623, 6096, 4809, 3690, 282, 20175, 281, 478, 7128, 305, 323, 18, 8381, 470, 15135, 16, 374, 48049, 22083, 6622, 360, 38009, 1051, 16, 367, 19917, 24118, 304, 424, 40915, 1703, 49824, 16, 988, 942, 9025, 16996, 18, 478, 3743, 656, 3984, 18582, 16, 764, 912, 808, 16, 510, 2548, 4809, 3690, 18, 510, 1286, 3598, 282, 5214, 840, 2930, 18104, 19922, 783, 2808, 347, 16, 475, 840, 282, 23648, 18, 1345, 1139, 322, 2286, 339, 1329, 16387, 16, 7869, 282, 6579, 16, 9025, 16996, 861, 45235, 742, 13744, 16, 374, 827, 17724, 19922, 553, 2808, 347, 12219, 334, 32605, 16, 502, 2930, 18104, 510, 282, 502, 575, 808, 16, 374, 289, 18623, 1658, 20581, 16, 502, 912, 5413, 18, 19582, 433, 2279, 1055, 322, 2548, 290, 970, 16, 374, 3038, 2574, 1086, 8882, 3832, 668, 2397, 24923, 424, 34713, 454, 18, 824, 3163, 2726, 1347, 8296, 16, 8448, 16427, 46978, 41368, 31655, 670, 20068, 1162, 8417, 510, 478, 5218, 525, 8417, 282, 11683, 14936, 4593, 18698, 861, 365, 1750, 827, 8417, 282, 5214, 5183, 1663, 2675, 322, 5844, 3461, 16, 19582, 433, 2279, 28035, 5848, 33126, 282, 12462, 289, 10449, 1512, 16, 6354, 520, 745, 6863, 309, 44061, 15920, 26314, 18, 478, 29579, 411, 12466, 31507, 16, 1293, 2634, 16, 322, 1513, 16, 753, 697, 2705, 4673, 910, 510, 9848, 492, 478, 46088, 18, 8381, 861, 478, 11108, 301, 5752, 470, 1943, 1852, 4056, 22128, 1069, 2206, 17344, 1011, 7756, 4586, 7126, 24268, 1798, 5017, 4028, 12010, 18, 478, 23662, 8658, 1247, 290, 29734, 2466, 10296, 2092, 620, 16, 5848, 4965, 277, 11740, 8902, 289, 34835, 2891, 46401, 30316, 30, 670, 387, 8278, 781, 2874, 5693, 16, 670, 656, 322, 3554, 406, 6934, 16, 510, 3153, 5222, 478, 1098, 13230, 10435, 470, 4419, 16, 17857, 4890, 290, 5941, 23095, 2150, 16308, 434, 4202, 18, 510, 10118, 16, 753, 13473, 1749, 411, 12466, 289, 8625, 414, 28221, 293, 290, 19427, 3920, 14571, 7876, 292, 282, 2281, 7492, 24330, 1408, 289, 34417, 1175, 16, 1586, 349, 9620, 861, 817, 3893, 16, 374, 3400, 1512, 309, 30211, 1286, 3598, 840, 13026, 1569, 294, 4099, 966, 11529, 4304, 18, 3529, 24118, 309, 37119, 416, 6394, 1533, 3972, 17379, 16, 334, 18980, 26649, 16, 6459, 2634, 1135, 16, 367, 21982, 309, 29176, 48427, 401, 3436, 3972, 510, 3417, 2634, 18, 365, 1576, 1165, 309, 11506, 9870, 867, 5547, 639, 23362, 282, 491, 4570, 3440, 18, 1286, 3598, 16, 5938, 424, 6279, 282, 11043, 5167, 38271, 16, 30111, 6696, 16794, 1223, 1061, 2634, 30, 19582, 433, 2279, 18590, 16, 374, 478, 11108, 301, 5752, 470, 510, 5267, 1089, 539, 18, 478, 11108, 301, 5752, 470, 322, 15998, 8448, 9383, 21982, 16, 12731, 11049, 309, 5973, 1133, 21332, 18, 996, 16, 1409, 3598, 38561, 3957, 5848, 33212, 301, 277, 348, 478, 15664, 879, 1332, 470, 289, 38167, 282, 1119, 289, 324, 272, 37412, 478, 275, 280, 380, 30007, 44902, 1040, 464, 626, 473, 684, 25186, 1999, 778, 28601, 510, 8985, 1870, 14916, 510, 3261, 503, 343, 13, 910, 367, 1038, 21450, 309, 25350, 37369, 2244, 289, 4619, 334, 1498, 478, 275, 3560, 5482, 2001, 861, 9928, 288, 1788, 18694, 23246, 10476, 306, 29180, 411, 4202, 478, 563, 823, 2674, 622, 861, 1253, 575, 25660, 1463, 282, 1576, 31691, 2845, 5782, 330, 2514, 8448, 5355, 1573, 2370, 430, 20581, 334, 12540, 629, 382, 1496, 582, 281, 24118, 304, 309, 37119, 416, 6394, 18, 824, 3163, 10476, 306, 7701, 2344, 16, 827, 21982, 430, 20581, 3848, 20653, 16, 502, 1286, 3598, 510, 726, 4586, 11306, 21982, 18, 2, 1, 87, 1456, 81, 2448, 30, 618, 35667, 539, 3003, 478, 293, 30511, 319, 7090, 470, 4862, 16, 20635, 13850, 722, 18836, 282, 6551, 16, 7006, 520, 360, 348, 7862, 329, 1710, 17117, 281, 13445, 506, 281, 24393, 304, 16, 515, 6996, 5168, 341, 3251, 668, 7522, 428, 22691, 16, 1029, 19790, 484, 322, 1552, 4697, 41498, 16, 367, 7982, 4868, 289, 21460, 5613, 18, 31224, 30, 13931, 490, 3857, 35065, 330, 25490, 27567, 281, 23245, 411, 3826, 1734, 40667, 282, 20030, 272, 16, 453, 2023, 16, 17933, 320, 4934, 16, 12665, 282, 2343, 4189, 16, 1833, 575, 1011, 13565, 3336, 9001, 9620, 18, 8281, 2188, 343, 17761, 6677, 1175, 4153, 10838, 7461, 23450, 289, 6798, 17, 43690, 6507, 9766, 473, 293, 2729, 1043, 564, 1533, 4691, 17, 23745, 11603, 2005, 12528, 16, 367, 1038, 450, 845, 35058, 12899, 31726, 13, 289, 30914, 41205, 9744, 281, 4239, 2610, 18365, 523, 27635, 18, 5890, 1655, 32964, 265, 16, 42390, 5800, 309, 46288, 21917, 547, 305, 3784, 9691, 16, 3887, 891, 1562, 16, 23958, 1437, 289, 11443, 24997, 1015, 16, 5860, 414, 18009, 18289, 16, 374, 3596, 3595, 7725, 1237, 1949, 2420, 2155, 28365, 538, 11325, 42251, 18, 4922, 49352, 431, 2742, 4524, 5559, 726, 309, 5421, 1119, 16, 785, 35045, 22813, 31544, 14924, 282, 6551, 6340, 2241, 27520, 6817, 1624, 11113, 1081, 282, 1335, 4008, 18990, 35332, 40616, 14223, 18, 6831, 15116, 478, 560, 806, 4436, 17963, 910, 42539, 17575, 27807, 1606, 15561, 1624, 30519, 18964, 289, 2521, 373, 4094, 468, 282, 40357, 1030, 42350, 38956, 476, 33118, 412, 1395, 798, 510, 19599, 289, 11762, 38031, 13415, 320, 317, 798, 18, 889, 2246, 1014, 2284, 473, 10767, 4823, 505, 15976, 13, 22204, 428, 17, 299, 24801, 1374, 2512, 309, 34927, 3010, 1011, 924, 16, 428, 282, 4335, 7338, 21641, 27520, 6817, 11060, 701, 34925, 289, 1329, 10049, 43706, 322, 639, 18, 45620, 32473, 1914, 8898, 2393, 7624, 617, 510, 15215, 668, 8934, 10145, 6340, 289, 12638, 445, 617, 18, 5043, 16, 764, 1248, 1293, 2868, 16, 6709, 16, 639, 12430, 266, 1569, 16, 374, 13547, 4523, 16126, 1502, 49935, 21689, 38201, 987, 16, 2031, 286, 289, 11771, 705, 2365, 16, 753, 18622, 8055, 309, 16785, 4096, 18, 640, 4698, 13696, 6276, 11198, 3626, 13518, 18, 2418, 4160, 40607, 49154, 2665, 27866, 281, 29582, 16, 374, 726, 322, 12355, 46845, 16, 367, 475, 18347, 7334, 350, 16677, 48582, 309, 13078, 281, 9609, 16688, 16, 11762, 25642, 864, 7976, 416, 11198, 1734, 34925, 16, 9600, 9996, 22366, 697, 14924, 18, 365 ]
[ 465, 9305, 8264, 281, 7583, 1963, 309, 481, 322, 29876, 18, 1598, 23821, 275, 33397, 2865, 22741, 432, 28228, 9789, 16, 374, 48610, 37113, 8390, 510, 23204, 15713, 282, 4599, 7438, 411, 2044, 16, 322, 32862, 282, 34055, 1545, 5508, 1175, 16, 15783, 289, 16899, 16, 374, 4302, 47957, 8257, 11198, 465, 309, 1177, 2948, 322, 38661, 289, 374, 387, 17940, 874, 282, 803, 19833, 424, 49449, 2697, 36314, 18, 34850, 6173, 16, 6888, 1279, 14769, 27441, 4011, 428, 289, 3419, 16, 515, 722, 2504, 322, 42507, 14426, 28201, 18, 20601, 315, 46845, 18347, 11588, 502, 520, 27318, 18934, 5782, 16, 502, 520, 29402, 454, 3120, 32022, 6225, 18, 608, 2759, 11198, 307, 45265, 3315, 18, 1735, 289, 475, 3860, 18, 2255, 30352, 16, 537, 23101, 914, 4011, 373, 289, 322, 15769, 8055, 334, 18123, 537, 309, 1176, 411, 5560, 1587, 6528, 18, 6980, 510, 6917, 6174, 1011, 1175, 8768, 38765, 718, 9939, 289, 3560, 16987, 1379, 31658, 6357, 282, 16879, 18, 365, 4018, 1045, 6980, 906, 24721, 334, 38991, 7334, 350, 26100, 7438, 282, 6551, 16, 44261, 1526, 329, 22603, 10939, 306, 289, 19124, 5306, 16, 515, 371, 803, 13046, 501, 274, 294, 1299, 7438, 4443, 575, 1624, 3176, 10172, 34055, 2198, 12619, 9887, 2750, 289, 15842, 16, 1974, 46845, 18, 35340, 14769, 25903, 264, 282, 6551, 510, 21641, 13085, 24753, 2893, 16, 44777, 6773, 16, 35332, 320, 1133, 12585, 16, 29601, 16, 1333, 1505, 21168, 1250, 289, 7457, 18176, 18, 3747, 334, 30477, 39891, 10933, 22822, 898, 373, 13392, 11033, 360, 14774, 24786, 16, 515, 282, 5329, 8236, 622, 50255, 11270, 541, 2066, 931, 289, 9768, 12899, 2044, 322, 9466, 4302, 15251, 18, 23599, 2357, 670, 38187, 24560, 39511, 411, 2665, 17650, 294, 2222, 16, 374, 9805, 17401, 840, 9038, 4652, 2388, 575, 11588, 360, 1888, 13257, 16, 515, 334, 1033, 13003, 20456, 18, 439, 541, 2665, 6377, 360, 978, 3800, 41973, 16, 827, 492, 34386, 16, 840, 16, 2091, 16, 2319, 1143, 18, 3510, 309, 6551, 6110, 14596, 14769, 27441, 18, 32815, 274, 18836, 416, 49234, 282, 1175, 4336, 341, 13012, 3775, 14687, 23997, 349, 9805, 2303, 18, 17199, 32873, 708, 3426, 6699, 23245, 8697, 289, 764, 1143, 510, 2917, 2898, 309, 1047, 1251, 26150, 289, 48837, 2067, 1748, 734, 1496, 645, 451, 15506, 18, 8353, 304, 309, 9805, 31658, 3800, 17088, 3147, 895, 1852, 4521, 322, 29974, 16335, 2665, 309, 478, 486, 1999, 304, 18125, 910, 367, 428, 445, 6891, 510, 1033, 13095, 2837, 16, 828, 726, 289, 453, 3621, 16, 24560, 8733, 39773, 7179, 8697, 18, 3739, 2619, 7260, 16, 374, 6980, 16, 3769, 3664, 14290, 1485, 23616, 2793, 309, 15939, 16, 39243, 360, 3596, 2585, 21814, 309, 6564, 18, 45633, 381, 15137, 2665, 281, 24393, 304, 1624, 14022, 17740, 7794, 5842, 10580, 18404, 11270, 16, 1715, 20015, 289, 895, 953, 43571, 726, 282, 803, 1045, 18, 15377, 9836, 4284, 12631, 481, 12735, 309, 44895, 23925, 282, 2103, 10823, 9609, 34055, 1545, 5508, 329, 2665, 1003, 18, 7810, 8227, 722, 11270, 281, 7597, 289, 281, 9609, 726, 289, 1314, 38578, 1251, 1807, 18, 740, 322, 2619, 35188, 16, 374, 289, 11859, 21569, 334, 5083, 1335, 13313, 27225, 1161, 478, 404, 551, 617, 470, 2665, 3176, 17, 1796, 282, 465, 7113, 15901, 19961, 424, 1807, 322, 2397, 18, 21713, 662, 282, 34055, 6238, 41464, 14782, 29672, 3793, 21942, 2893, 16, 32049, 16134, 411, 7583, 2191, 318, 18, 28155, 1086, 281, 23245, 309, 1110, 575, 2956, 6585, 16, 374, 289, 281, 19157, 22470, 16, 1715, 6769, 840, 1033, 8236, 536, 8344, 18, 5093, 687, 360, 25336, 25597, 13012, 428, 7441, 16, 7280, 3237, 2284, 334, 14409, 728, 17, 299, 24872, 1147, 1565, 42957, 344, 16, 367, 722, 14314, 510, 428, 6814, 48540, 680, 6937, 18, 439, 481, 428, 445, 289, 322, 7155, 18, 21524, 440, 1752, 309, 11583, 2898, 1505, 24863, 541, 9893, 289, 5306, 16, 478, 18306, 470, 4893, 2957, 3389, 349, 4101, 18116, 14924, 8697, 282, 870, 2553, 18, 439, 1215, 4862, 49835, 322, 7863, 16, 25672, 309, 374, 2438, 38426, 8733, 38948, 7179, 8697, 282, 11888, 281, 23137, 4570, 282, 5572, 27068, 1290, 3734, 17, 361, 18, 23524, 16, 374, 349, 1335, 11871, 6466, 31590, 1685, 294, 4127, 3326, 3868, 272, 9523, 4521, 322, 41535, 28193, 16, 367, 1966, 11174, 839, 13534, 18, 439, 1441, 16, 4208, 743, 12609, 554, 33492, 2129, 2381, 16, 6709, 16, 11272, 16, 374, 6980, 282, 39223, 29974, 326, 2712, 334, 1514, 48636, 18, 740, 22847, 12435, 7182, 988, 282, 2968, 48454, 294, 29974, 379, 7715, 18, 3647, 289, 12479, 9805, 3952, 19665, 1672, 3800, 41973, 15985, 510, 2319, 1033, 16, 828, 6980, 16, 2918, 8809, 2553, 510, 7846, 16, 374, 901, 890, 34418, 18731, 7234, 322, 4243, 18, 2387, 4284, 16419, 16, 374, 6980, 32265, 309, 12497, 2722, 18323, 722, 7334, 8546, 828, 17, 299, 6097, 16, 828, 30914, 453, 6180, 48822, 16, 4660, 2906, 687, 309, 14393, 301, 1612, 18, 439, 1215, 6377, 840, 18088, 3328, 18, 4862, 6696, 6249, 319, 7090, 18, 740, 2152, 1335, 2553, 16, 3848, 1223, 16, 25775, 505, 1965, 322, 453, 16, 428, 639, 15647, 315, 18, 2667, 4319, 1326, 3285, 1880, 29694, 6106, 3872, 13051, 315, 3329, 1323, 294, 15137, 281, 7597, 289, 1715, 453, 575, 41401, 510, 294, 3203, 1016, 282, 34055, 6238, 41464, 16, 322, 1965, 6344, 1063, 16, 374, 289, 502, 289, 4753, 14176, 4385, 289, 1251, 2872, 4128, 13943, 18, 18720, 17088, 6721, 2048, 1177, 3260, 18, 10085, 4417, 1743, 281, 10836, 16, 1085, 9988, 334, 1033, 670, 2619, 46966, 14857, 16, 4410, 935, 289, 322, 1494, 8236, 536, 18, 1034, 3150, 313, 510, 309, 408, 446, 1510, 1480, 13185, 12318, 11993, 18, 1681, 1452, 448, 22847, 10855, 1175, 282, 11079, 281, 23245, 16, 428, 289, 281, 3591, 2107, 19297, 16, 2125, 13303, 48969, 322, 309, 10421, 4357, 16, 367, 309, 43235, 5066, 18, 439, 5258, 448, 15506, 276, 16, 47444, 1133, 14267, 289, 5577, 448, 21202, 382, 9010, 1463, 9093, 687, 282, 12367, 1891, 292, 4009, 1385, 33203, 4083, 18, 2, 1, 87, 1456, 81, 2448, 30, 3127, 11356, 4424, 282, 11258, 21035, 5876, 1880, 478, 13781, 861, 6735, 1757, 28067, 5790, 1559, 3720, 6470, 357, 523, 16, 1763, 1626, 1779, 46234, 289, 5844, 1779, 774, 27953, 22447, 18, 5333, 2175, 25236, 4725, 6603, 17, 34891, 16, 2486, 492, 44591, 609, 300, 1272, 2299 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 9305, 8264, 281, 7583, 1963, 309, 481, 322, 29876, 18, 1598, 23821, 275, 33397, 2865, 22741, 432, 28228, 9789, 16, 374, 48610, 37113, 8390, 510, 23204, 15713, 282, 4599, 7438, 411, 2044, 16, 322, 32862, 282, 34055, 1545, 5508, 1175, 16, 15783, 289, 16899, 16, 374, 4302, 47957, 8257, 11198, 465, 309, 1177, 2948, 322, 38661, 289, 374, 387, 17940, 874, 282, 803, 19833, 424, 49449, 2697, 36314, 18, 34850, 6173, 16, 6888, 1279, 14769, 27441, 4011, 428, 289, 3419, 16, 515, 722, 2504, 322, 42507, 14426, 28201, 18, 20601, 315, 46845, 18347, 11588, 502, 520, 27318, 18934, 5782, 16, 502, 520, 29402, 454, 3120, 32022, 6225, 18, 608, 2759, 11198, 307, 45265, 3315, 18, 1735, 289, 475, 3860, 18, 2255, 30352, 16, 537, 23101, 914, 4011, 373, 289, 322, 15769, 8055, 334, 18123, 537, 309, 1176, 411, 5560, 1587, 6528, 18, 6980, 510, 6917, 6174, 1011, 1175, 8768, 38765, 718, 9939, 289, 3560, 16987, 1379, 31658, 6357, 282, 16879, 18, 365, 4018, 1045, 6980, 906, 24721, 334, 38991, 7334, 350, 26100, 7438, 282, 6551, 16, 44261, 1526, 329, 22603, 10939, 306, 289, 19124, 5306, 16, 515, 371, 803, 13046, 501, 274, 294, 1299, 7438, 4443, 575, 1624, 3176, 10172, 34055, 2198, 12619, 9887, 2750, 289, 15842, 16, 1974, 46845, 18, 35340, 14769, 25903, 264, 282, 6551, 510, 21641, 13085, 24753, 2893, 16, 44777, 6773, 16, 35332, 320, 1133, 12585, 16, 29601, 16, 1333, 1505, 21168, 1250, 289, 7457, 18176, 18, 3747, 334, 30477, 39891, 10933, 22822, 898, 373, 13392, 11033, 360, 14774, 24786, 16, 515, 282, 5329, 8236, 622, 50255, 11270, 541, 2066, 931, 289, 9768, 12899, 2044, 322, 9466, 4302, 15251, 18, 23599, 2357, 670, 38187, 24560, 39511, 411, 2665, 17650, 294, 2222, 16, 374, 9805, 17401, 840, 9038, 4652, 2388, 575, 11588, 360, 1888, 13257, 16, 515, 334, 1033, 13003, 20456, 18, 439, 541, 2665, 6377, 360, 978, 3800, 41973, 16, 827, 492, 34386, 16, 840, 16, 2091, 16, 2319, 1143, 18, 3510, 309, 6551, 6110, 14596, 14769, 27441, 18, 32815, 274, 18836, 416, 49234, 282, 1175, 4336, 341, 13012, 3775, 14687, 23997, 349, 9805, 2303, 18, 17199, 32873, 708, 3426, 6699, 23245, 8697, 289, 764, 1143, 510, 2917, 2898, 309, 1047, 1251, 26150, 289, 48837, 2067, 1748, 734, 1496, 645, 451, 15506, 18, 8353, 304, 309, 9805, 31658, 3800, 17088, 3147, 895, 1852, 4521, 322, 29974, 16335, 2665, 309, 478, 486, 1999, 304, 18125, 910, 367, 428, 445, 6891, 510, 1033, 13095, 2837, 16, 828, 726, 289, 453, 3621, 16, 24560, 8733, 39773, 7179, 8697, 18, 3739, 2619, 7260, 16, 374, 6980, 16, 3769, 3664, 14290, 1485, 23616, 2793, 309, 15939, 16, 39243, 360, 3596, 2585, 21814, 309, 6564, 18, 45633, 381, 15137, 2665, 281, 24393, 304, 1624, 14022, 17740, 7794, 5842, 10580, 18404, 11270, 16, 1715, 20015, 289, 895, 953, 43571, 726, 282, 803, 1045, 18, 15377, 9836, 4284, 12631, 481, 12735, 309, 44895, 23925, 282, 2103, 10823, 9609, 34055, 1545, 5508, 329, 2665, 1003, 18, 7810, 8227, 722, 11270, 281, 7597, 289, 281, 9609, 726, 289, 1314, 38578, 1251, 1807, 18, 740, 322, 2619, 35188, 16, 374, 289, 11859, 21569, 334, 5083, 1335, 13313, 27225, 1161, 478, 404, 551, 617, 470, 2665, 3176, 17, 1796, 282, 465, 7113, 15901, 19961, 424, 1807, 322, 2397, 18, 21713, 662, 282, 34055, 6238, 41464, 14782, 29672, 3793, 21942, 2893, 16, 32049, 16134, 411, 7583, 2191, 318, 18, 28155, 1086, 281, 23245, 309, 1110, 575, 2956, 6585, 16, 374, 289, 281, 19157, 22470, 16, 1715, 6769, 840, 1033, 8236, 536, 8344, 18, 5093, 687, 360, 25336, 25597, 13012, 428, 7441, 16, 7280, 3237, 2284, 334, 14409, 728, 17, 299, 24872, 1147, 1565, 42957, 344, 16, 367, 722, 14314, 510, 428, 6814, 48540, 680, 6937, 18, 439, 481, 428, 445, 289, 322, 7155, 18, 21524, 440, 1752, 309, 11583, 2898, 1505, 24863, 541, 9893, 289, 5306, 16, 478, 18306, 470, 4893, 2957, 3389, 349, 4101, 18116, 14924, 8697, 282, 870, 2553, 18, 439, 1215, 4862, 49835, 322, 7863, 16, 25672, 309, 374, 2438, 38426, 8733, 38948, 7179, 8697, 282, 11888, 281, 23137, 4570, 282, 5572, 27068, 1290, 3734, 17, 361, 18, 23524, 16, 374, 349, 1335, 11871, 6466, 31590, 1685, 294, 4127, 3326, 3868, 272, 9523, 4521, 322, 41535, 28193, 16, 367, 1966, 11174, 839, 13534, 18, 439, 1441, 16, 4208, 743, 12609, 554, 33492, 2129, 2381, 16, 6709, 16, 11272, 16, 374, 6980, 282, 39223, 29974, 326, 2712, 334, 1514, 48636, 18, 740, 22847, 12435, 7182, 988, 282, 2968, 48454, 294, 29974, 379, 7715, 18, 3647, 289, 12479, 9805, 3952, 19665, 1672, 3800, 41973, 15985, 510, 2319, 1033, 16, 828, 6980, 16, 2918, 8809, 2553, 510, 7846, 16, 374, 901, 890, 34418, 18731, 7234, 322, 4243, 18, 2387, 4284, 16419, 16, 374, 6980, 32265, 309, 12497, 2722, 18323, 722, 7334, 8546, 828, 17, 299, 6097, 16, 828, 30914, 453, 6180, 48822, 16, 4660, 2906, 687, 309, 14393, 301, 1612, 18, 439, 1215, 6377, 840, 18088, 3328, 18, 4862, 6696, 6249, 319, 7090, 18, 740, 2152, 1335, 2553, 16, 3848, 1223, 16, 25775, 505, 1965, 322, 453, 16, 428, 639, 15647, 315, 18, 2667, 4319, 1326, 3285, 1880, 29694, 6106, 3872, 13051, 315, 3329, 1323, 294, 15137, 281, 7597, 289, 1715, 453, 575, 41401, 510, 294, 3203, 1016, 282, 34055, 6238, 41464, 16, 322, 1965, 6344, 1063, 16, 374, 289, 502, 289, 4753, 14176, 4385, 289, 1251, 2872, 4128, 13943, 18, 18720, 17088, 6721, 2048, 1177, 3260, 18, 10085, 4417, 1743, 281, 10836, 16, 1085, 9988, 334, 1033, 670, 2619, 46966, 14857, 16, 4410, 935, 289, 322, 1494, 8236, 536, 18, 1034, 3150, 313, 510, 309, 408, 446, 1510, 1480, 13185, 12318, 11993, 18, 1681, 1452, 448, 22847, 10855, 1175, 282, 11079, 281, 23245, 16, 428, 289, 281, 3591, 2107, 19297, 16, 2125, 13303, 48969, 322, 309, 10421, 4357, 16, 367, 309, 43235, 5066, 18, 439, 5258, 448, 15506, 276, 16, 47444, 1133, 14267, 289, 5577, 448, 21202, 382, 9010, 1463, 9093, 687, 282, 12367, 1891, 292, 4009, 1385, 33203, 4083, 18, 2, 1, 87, 1456, 81, 2448, 30, 3127, 11356, 4424, 282, 11258, 21035, 5876, 1880, 478, 13781, 861, 6735, 1757, 28067, 5790, 1559, 3720, 6470, 357, 523, 16, 1763, 1626, 1779, 46234, 289, 5844, 1779, 774, 27953, 22447, 18, 5333, 2175, 25236, 4725, 6603, 17, 34891, 16, 2486, 492, 44591, 609, 300, 1272, 2299 ]
[ 2158, 18, 31224, 30, 3127, 11356, 289, 478, 13781, 470, 16581, 294, 4453, 3425, 728, 3968, 476, 2594, 282, 11258, 282, 2697, 445, 547, 26708, 18, 26749, 17, 18967, 839, 16, 2412, 1733, 11464, 1756, 282, 17370, 9964, 16, 687, 374, 478, 262, 731, 26108, 470, 25941, 17853, 282, 1420, 29565, 16, 581, 764, 289, 309, 14511, 14597, 18, 459, 2141, 16, 46238, 13270, 360, 478, 3096, 399, 5497, 982, 343, 470, 282, 16861, 263, 7426, 20436, 478, 13781, 910, 18697, 2545, 1038, 2271, 1453, 9764, 1195, 478, 563, 455, 342, 496, 1614, 332, 13432, 470, 289, 478, 16563, 5002, 3032, 910, 24520, 16417, 38477, 9335, 18, 1870, 5983, 873, 16, 282, 10209, 16, 3005, 37426, 11526, 5681, 9888, 42463, 5474, 4868, 1195, 478, 12003, 394, 3032, 470, 289, 478, 44230, 11740, 2922, 861, 740, 1011, 481, 10078, 17, 440, 564, 40900, 5222, 272, 16400, 478, 789, 947, 6520, 470, 289, 4453, 478, 14099, 1147, 470, 8972, 552, 1702, 313, 2818, 478, 13781, 470, 281, 16535, 6506, 536, 12932, 430, 30, 22, 18, 1397, 5327, 1949, 5606, 17035, 42250, 39193, 32940, 16, 502, 745, 8612, 751, 2734, 1143, 5196, 2158, 16, 289, 47991, 43531, 537, 541, 2616, 322, 2458, 18, 740, 9764, 282, 9146, 12496, 1165, 10313, 4667, 14673, 3536, 873, 473, 23, 30, 22, 282, 25857, 289, 491, 30, 20, 1642, 934, 374, 16, 10398, 19603, 16, 37324, 282, 6236, 547, 8267, 664, 47108, 309, 21755, 2500, 10397, 267, 1214, 18, 403, 6095, 16, 5876, 1880, 1819, 818, 322, 18749, 19177, 718, 367, 675, 4970, 626, 18, 3647, 309, 3149, 1408, 294, 13397, 2818, 4009, 1159, 639, 5168, 3890, 322, 1871, 16, 428, 3757, 16, 367, 687, 2197, 23981, 17390, 2788, 39364, 18, 981, 289, 309, 3872, 8660, 432, 19424, 2165, 13397, 718, 16787, 5736, 26138, 8067, 1143, 27501, 16, 828, 42903, 15364, 18, 6682, 924, 16, 14729, 22095, 17, 18967, 323, 1677, 440, 700, 906, 1033, 19226, 16, 828, 3596, 680, 18, 9570, 2301, 25467, 14118, 282, 6292, 2299, 6067, 28253, 6816, 6470, 357, 523, 367, 6712, 282, 15640, 16694, 478, 49065, 470, 281, 42334, 3946, 268, 837, 18, 7200, 2849, 7739, 1157, 15323, 478, 45330, 4673, 861, 1870, 5983, 873, 15265, 26158, 1033, 17, 25249, 31328, 24627, 16, 515, 2512, 6547, 22829, 309, 34565, 3588, 16, 961, 329, 1129, 1341, 887, 453, 1190, 18, 30866, 3536, 873, 575, 6884, 4024, 11623, 16, 515, 3215, 26493, 315, 18, 832, 18187, 773, 935, 1272, 27580, 282, 5271, 14118, 651, 2846, 7130, 11248, 22095, 17, 18967, 839, 11157, 1195, 828, 6922, 16, 687, 322, 1195, 867, 16, 428, 475, 17, 2767, 41701, 18, 17580, 10848, 25822, 343, 9601, 33019, 18, 1870, 482, 1577, 17057, 291, 3619, 856, 26165, 2678, 541, 37253, 16, 515, 1223, 1472, 45582, 282, 33973, 877, 18, 365, 1078, 416, 31277, 726, 2124, 278, 523, 322, 23752, 1309, 519, 15277, 919, 1011, 14157, 10376, 18, 5403, 401, 7927, 14673, 3536, 1880, 5906, 9972, 322, 27349, 22217, 16, 367, 1215, 785, 685, 5280, 286, 18720, 523, 16, 14118, 7609, 4038, 22711, 24627, 291, 18, 2046, 21583, 475, 655, 3571, 3851, 17057, 401, 16, 282, 2641, 2024, 13317, 15277, 807, 16, 47774, 48271, 360, 602, 1090, 405, 1011, 4744, 820, 19608, 401, 18, 1870, 5983, 873, 6330, 23387, 24877, 16, 5414, 1480, 4416, 289, 2808, 5280, 891, 329, 21755, 18, 2046, 14673, 3536, 873, 23156, 282, 24163, 1207, 3895, 520, 322, 2913, 845, 14118, 651, 2333, 4929, 289, 47888, 6984, 3147, 38452, 431, 4851, 13189, 18, 9570, 282, 22428, 9536, 292, 15014, 45468, 651, 1011, 4744, 820, 3946, 268, 837, 6470, 357, 3340, 15277, 807, 10675, 3971, 282, 8999, 602, 1090, 405, 651, 430, 30, 20, 18, 5227, 575, 4427, 17, 299, 33647, 2080, 29499, 16, 515, 13397, 873, 29848, 751, 3215, 33019, 18, 608, 19185, 12679, 289, 2326, 465, 1011, 46820, 10989, 791, 877, 4086, 18, 478, 732, 997, 8111, 549, 13521, 1949, 25350, 23904, 16, 961, 1494, 1251, 1807, 47504, 4110, 16, 510, 17684, 567, 7422, 34979, 546, 1907, 7977, 10193, 9680, 4137, 35321, 24113, 18, 651, 967, 1574, 9547, 475, 4660, 2625, 309, 12853, 21755, 18, 1870, 5983, 873, 45468, 16, 14673, 3536, 873, 1003, 16, 515, 475, 5917, 360, 924, 16, 428, 6280, 467, 4966, 282, 15301, 29235, 18, 40584, 427, 16, 3893, 16, 764, 1747, 18, 4320, 1588, 939, 1269, 25592, 4966, 2273, 675, 16538, 861, 14427, 9680, 478, 13781, 470, 7974, 3261, 1020, 1624, 20179, 5612, 1779, 14536, 22551, 10580, 16, 46856, 2158, 16, 2505, 15277, 807, 282, 19359, 8999, 18, 22465, 16, 21166, 2497, 322, 41174, 37541, 282, 8267, 505, 7555, 16, 4813, 309, 475, 3579, 542, 18, 12126, 1871, 7130, 22095, 17, 18967, 839, 14725, 282, 4096, 478, 25, 309, 816, 470, 1011, 5280, 891, 5530, 3583, 289, 6470, 357, 3340, 16, 515, 9416, 33401, 13397, 4287, 481, 322, 42517, 18, 6490, 22469, 322, 7737, 14046, 5068, 7739, 3033, 22095, 17, 18967, 839, 289, 567, 808, 33520, 4028, 360, 12554, 382, 3551, 301, 5539, 18, 9570, 567, 808, 24163, 624, 17363, 2333, 4929, 16, 515, 20256, 23539, 3484, 12006, 18, 1303, 3586, 290, 2566, 39850, 282, 5462, 582, 11368, 19608, 291, 16, 1763, 8694, 1011, 10376, 6470, 357, 3340, 18, 491, 30, 20, 651, 16410, 14118, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 14118, 651, 478, 13781, 470, 421, 18, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 3693, 48705, 4833, 541, 10014, 26226, 6931, 478, 983, 890, 486, 10347, 17, 297, 1004, 910, 34516, 1754, 282, 970, 1212, 12564, 15655, 1812, 24030, 16, 6750, 811, 11896, 13105, 18, 817, 8494, 281, 3988, 3642, 294, 17234, 25567, 16, 753, 322, 15893, 22714, 17664, 285, 1703, 1125, 17937, 5197, 18, 1415, 303, 1175, 282, 13105, 18590, 20966, 867, 16, 374, 16, 478, 1517, 878, 16, 282, 4006, 547, 3580, 5990, 2557, 47616, 1617, 13231, 1527, 861, 31224, 30, 28801, 778, 9207, 1551, 7649, 305, 6931, 478, 983, 890, 486, 10347, 17, 297, 1004, 428, 678, 912, 910, 2588, 37592, 24030, 7220, 11211, 17664, 16458, 16, 281, 4209, 978, 779, 18, 19969, 3626, 541, 10014, 26226, 8385, 852, 977, 10970, 2381, 309, 1264, 567, 808, 12917, 323, 10438, 282, 32100, 11294, 962, 478, 6115, 4825, 9134, 6315, 38803, 861, 14155, 411, 19228, 282, 16914, 1045, 289 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2158, 18, 31224, 30, 3127, 11356, 289, 478, 13781, 470, 16581, 294, 4453, 3425, 728, 3968, 476, 2594, 282, 11258, 282, 2697, 445, 547, 26708, 18, 26749, 17, 18967, 839, 16, 2412, 1733, 11464, 1756, 282, 17370, 9964, 16, 687, 374, 478, 262, 731, 26108, 470, 25941, 17853, 282, 1420, 29565, 16, 581, 764, 289, 309, 14511, 14597, 18, 459, 2141, 16, 46238, 13270, 360, 478, 3096, 399, 5497, 982, 343, 470, 282, 16861, 263, 7426, 20436, 478, 13781, 910, 18697, 2545, 1038, 2271, 1453, 9764, 1195, 478, 563, 455, 342, 496, 1614, 332, 13432, 470, 289, 478, 16563, 5002, 3032, 910, 24520, 16417, 38477, 9335, 18, 1870, 5983, 873, 16, 282, 10209, 16, 3005, 37426, 11526, 5681, 9888, 42463, 5474, 4868, 1195, 478, 12003, 394, 3032, 470, 289, 478, 44230, 11740, 2922, 861, 740, 1011, 481, 10078, 17, 440, 564, 40900, 5222, 272, 16400, 478, 789, 947, 6520, 470, 289, 4453, 478, 14099, 1147, 470, 8972, 552, 1702, 313, 2818, 478, 13781, 470, 281, 16535, 6506, 536, 12932, 430, 30, 22, 18, 1397, 5327, 1949, 5606, 17035, 42250, 39193, 32940, 16, 502, 745, 8612, 751, 2734, 1143, 5196, 2158, 16, 289, 47991, 43531, 537, 541, 2616, 322, 2458, 18, 740, 9764, 282, 9146, 12496, 1165, 10313, 4667, 14673, 3536, 873, 473, 23, 30, 22, 282, 25857, 289, 491, 30, 20, 1642, 934, 374, 16, 10398, 19603, 16, 37324, 282, 6236, 547, 8267, 664, 47108, 309, 21755, 2500, 10397, 267, 1214, 18, 403, 6095, 16, 5876, 1880, 1819, 818, 322, 18749, 19177, 718, 367, 675, 4970, 626, 18, 3647, 309, 3149, 1408, 294, 13397, 2818, 4009, 1159, 639, 5168, 3890, 322, 1871, 16, 428, 3757, 16, 367, 687, 2197, 23981, 17390, 2788, 39364, 18, 981, 289, 309, 3872, 8660, 432, 19424, 2165, 13397, 718, 16787, 5736, 26138, 8067, 1143, 27501, 16, 828, 42903, 15364, 18, 6682, 924, 16, 14729, 22095, 17, 18967, 323, 1677, 440, 700, 906, 1033, 19226, 16, 828, 3596, 680, 18, 9570, 2301, 25467, 14118, 282, 6292, 2299, 6067, 28253, 6816, 6470, 357, 523, 367, 6712, 282, 15640, 16694, 478, 49065, 470, 281, 42334, 3946, 268, 837, 18, 7200, 2849, 7739, 1157, 15323, 478, 45330, 4673, 861, 1870, 5983, 873, 15265, 26158, 1033, 17, 25249, 31328, 24627, 16, 515, 2512, 6547, 22829, 309, 34565, 3588, 16, 961, 329, 1129, 1341, 887, 453, 1190, 18, 30866, 3536, 873, 575, 6884, 4024, 11623, 16, 515, 3215, 26493, 315, 18, 832, 18187, 773, 935, 1272, 27580, 282, 5271, 14118, 651, 2846, 7130, 11248, 22095, 17, 18967, 839, 11157, 1195, 828, 6922, 16, 687, 322, 1195, 867, 16, 428, 475, 17, 2767, 41701, 18, 17580, 10848, 25822, 343, 9601, 33019, 18, 1870, 482, 1577, 17057, 291, 3619, 856, 26165, 2678, 541, 37253, 16, 515, 1223, 1472, 45582, 282, 33973, 877, 18, 365, 1078, 416, 31277, 726, 2124, 278, 523, 322, 23752, 1309, 519, 15277, 919, 1011, 14157, 10376, 18, 5403, 401, 7927, 14673, 3536, 1880, 5906, 9972, 322, 27349, 22217, 16, 367, 1215, 785, 685, 5280, 286, 18720, 523, 16, 14118, 7609, 4038, 22711, 24627, 291, 18, 2046, 21583, 475, 655, 3571, 3851, 17057, 401, 16, 282, 2641, 2024, 13317, 15277, 807, 16, 47774, 48271, 360, 602, 1090, 405, 1011, 4744, 820, 19608, 401, 18, 1870, 5983, 873, 6330, 23387, 24877, 16, 5414, 1480, 4416, 289, 2808, 5280, 891, 329, 21755, 18, 2046, 14673, 3536, 873, 23156, 282, 24163, 1207, 3895, 520, 322, 2913, 845, 14118, 651, 2333, 4929, 289, 47888, 6984, 3147, 38452, 431, 4851, 13189, 18, 9570, 282, 22428, 9536, 292, 15014, 45468, 651, 1011, 4744, 820, 3946, 268, 837, 6470, 357, 3340, 15277, 807, 10675, 3971, 282, 8999, 602, 1090, 405, 651, 430, 30, 20, 18, 5227, 575, 4427, 17, 299, 33647, 2080, 29499, 16, 515, 13397, 873, 29848, 751, 3215, 33019, 18, 608, 19185, 12679, 289, 2326, 465, 1011, 46820, 10989, 791, 877, 4086, 18, 478, 732, 997, 8111, 549, 13521, 1949, 25350, 23904, 16, 961, 1494, 1251, 1807, 47504, 4110, 16, 510, 17684, 567, 7422, 34979, 546, 1907, 7977, 10193, 9680, 4137, 35321, 24113, 18, 651, 967, 1574, 9547, 475, 4660, 2625, 309, 12853, 21755, 18, 1870, 5983, 873, 45468, 16, 14673, 3536, 873, 1003, 16, 515, 475, 5917, 360, 924, 16, 428, 6280, 467, 4966, 282, 15301, 29235, 18, 40584, 427, 16, 3893, 16, 764, 1747, 18, 4320, 1588, 939, 1269, 25592, 4966, 2273, 675, 16538, 861, 14427, 9680, 478, 13781, 470, 7974, 3261, 1020, 1624, 20179, 5612, 1779, 14536, 22551, 10580, 16, 46856, 2158, 16, 2505, 15277, 807, 282, 19359, 8999, 18, 22465, 16, 21166, 2497, 322, 41174, 37541, 282, 8267, 505, 7555, 16, 4813, 309, 475, 3579, 542, 18, 12126, 1871, 7130, 22095, 17, 18967, 839, 14725, 282, 4096, 478, 25, 309, 816, 470, 1011, 5280, 891, 5530, 3583, 289, 6470, 357, 3340, 16, 515, 9416, 33401, 13397, 4287, 481, 322, 42517, 18, 6490, 22469, 322, 7737, 14046, 5068, 7739, 3033, 22095, 17, 18967, 839, 289, 567, 808, 33520, 4028, 360, 12554, 382, 3551, 301, 5539, 18, 9570, 567, 808, 24163, 624, 17363, 2333, 4929, 16, 515, 20256, 23539, 3484, 12006, 18, 1303, 3586, 290, 2566, 39850, 282, 5462, 582, 11368, 19608, 291, 16, 1763, 8694, 1011, 10376, 6470, 357, 3340, 18, 491, 30, 20, 651, 16410, 14118, 18, 478, 18386, 18, 8381, 470, 14388, 8063, 17, 36951, 7977, 14118, 651, 478, 13781, 470, 421, 18, 11333, 6034, 16, 7036, 289, 25956, 942, 5298, 309, 7759, 28604, 18, 2, 1, 87, 1456, 81, 2448, 30, 3693, 48705, 4833, 541, 10014, 26226, 6931, 478, 983, 890, 486, 10347, 17, 297, 1004, 910, 34516, 1754, 282, 970, 1212, 12564, 15655, 1812, 24030, 16, 6750, 811, 11896, 13105, 18, 817, 8494, 281, 3988, 3642, 294, 17234, 25567, 16, 753, 322, 15893, 22714, 17664, 285, 1703, 1125, 17937, 5197, 18, 1415, 303, 1175, 282, 13105, 18590, 20966, 867, 16, 374, 16, 478, 1517, 878, 16, 282, 4006, 547, 3580, 5990, 2557, 47616, 1617, 13231, 1527, 861, 31224, 30, 28801, 778, 9207, 1551, 7649, 305, 6931, 478, 983, 890, 486, 10347, 17, 297, 1004, 428, 678, 912, 910, 2588, 37592, 24030, 7220, 11211, 17664, 16458, 16, 281, 4209, 978, 779, 18, 19969, 3626, 541, 10014, 26226, 8385, 852, 977, 10970, 2381, 309, 1264, 567, 808, 12917, 323, 10438, 282, 32100, 11294, 962, 478, 6115, 4825, 9134, 6315, 38803, 861, 14155, 411, 19228, 282, 16914, 1045, 289 ]
[ 281, 1110, 1326, 14927, 1545, 309, 5259, 15758, 6029, 1125, 17937, 541, 10014, 26226, 13124, 478, 983, 890, 486, 10347, 17, 297, 1004, 470, 15104, 24382, 30653, 434, 11413, 478, 26376, 7716, 488, 25058, 11449, 4314, 289, 33085, 41477, 2099, 622, 1631, 334, 2202, 454, 505, 3361, 294, 15878, 3559, 1116, 282, 16152, 7178, 536, 26410, 6086, 910, 289, 745, 20353, 282, 1551, 281, 44818, 290, 505, 46223, 18, 3397, 4126, 726, 9378, 294, 9747, 18, 824, 14371, 478, 630, 17998, 1290, 17664, 33914, 470, 38368, 1500, 670, 8496, 6771, 17664, 285, 1703, 942, 1122, 575, 16, 988, 492, 685, 32380, 16, 515, 4092, 2365, 294, 49613, 492, 840, 334, 3025, 1175, 18, 1178, 1543, 575, 30536, 13894, 39602, 289, 478, 983, 890, 486, 10347, 17, 297, 1306, 910, 502, 678, 7625, 3213, 31974, 6656, 17664, 21456, 4974, 45046, 419, 1624, 988, 309, 5734, 2083, 726, 47360, 1715, 28453, 4092, 11504, 294, 49613, 39592, 823, 523, 16, 6866, 16, 6623, 289, 35096, 5159, 18, 1012, 2088, 1733, 1078, 13108, 282, 12564, 10172, 478, 6115, 4825, 9134, 6315, 38803, 470, 5548, 20353, 281, 22573, 34496, 294, 31870, 11919, 13105, 16, 282, 2114, 31010, 697, 2904, 309, 20966, 282, 5990, 2557, 289, 24136, 43115, 282, 6730, 18, 20346, 11919, 950, 726, 41280, 2159, 23716, 20323, 7583, 17981, 1624, 367, 282, 9937, 309, 3193, 30653, 434, 11413, 20137, 726, 309, 1033, 12896, 5066, 18, 985, 3110, 478, 26627, 17, 818, 17, 440, 910, 8099, 7796, 1552, 13105, 385, 3372, 2165, 20385, 5573, 12586, 274, 6315, 28021, 8566, 478, 447, 11835, 23198, 3663, 470, 49827, 4126, 289, 2815, 16, 374, 28402, 726, 6287, 19934, 281, 27218, 23536, 290, 38508, 16207, 8292, 4096, 16, 453, 428, 282, 4008, 294, 2856, 478, 6762, 7585, 9823, 8249, 861, 999, 36283, 726, 3711, 15141, 5559, 334, 2987, 1175, 282, 13105, 25682, 22158, 333, 888, 18, 817, 2815, 16338, 16, 374, 505, 939, 478, 1035, 2137, 341, 470, 20966, 282, 5990, 2557, 30, 478, 28526, 878, 16, 282, 4006, 547, 3580, 5990, 2557, 47616, 1617, 13231, 1527, 18, 889, 939, 19610, 861, 478, 1358, 9763, 20075, 24829, 400, 11105, 16, 785, 4136, 17, 3697, 7383, 549, 8385, 8405, 282, 12564, 18, 1787, 1209, 30098, 2388, 4556, 7383, 318, 910, 510, 2815, 492, 18, 889, 726, 2992, 3022, 16, 785, 15068, 11211, 17664, 16458, 48705, 4833, 541, 30098, 6931, 9466, 5065, 4953, 668, 19801, 349, 17784, 18, 365, 5049, 1045, 3584, 5735, 2365, 778, 1551, 40286, 680, 1767, 31544, 294, 49613, 428, 17664, 41275, 1854, 478, 3693, 546, 9015, 470, 23818, 367, 530, 303, 1018, 37827, 355, 307, 16, 19698, 420, 2822, 19276, 2127, 35972, 282, 48456, 18, 4824, 411, 22912, 541, 5303, 19276, 680, 8193, 17180, 1038, 1441, 25660, 1463, 282, 14526, 17664, 21456, 4974, 45046, 419, 18, 3529, 3003, 3584, 5735, 2365, 718, 5129, 5666, 2311, 35632, 3333, 865, 448, 19276, 1133, 11775, 18, 28186, 16986, 334, 19320, 13287, 16047, 890, 3951, 367, 530, 303, 332, 47635, 47751, 7362, 457, 562, 1711, 312, 27834, 16, 374, 5273, 3280, 536, 13547, 478, 1567, 1452, 315, 19276, 718, 6325, 16, 1029, 21976, 2712, 11357, 3137, 2309, 910, 367, 5854, 11113, 1081, 10007, 17, 296, 346, 2936, 718, 1781, 341, 718, 5500, 282, 403, 3859, 17487, 488, 768, 11528, 420, 529, 1866, 300, 30483, 17, 265, 616, 1703, 40126, 6228, 24423, 322, 282, 24235, 2580, 18, 3557, 322, 2619, 3003, 3584, 5735, 2365, 718, 5129, 453, 289, 5290, 282, 16143, 18, 2046, 329, 7032, 478, 6115, 4825, 9134, 6315, 38803, 470, 912, 14321, 16, 374, 294, 10744, 277, 13105, 16, 2588, 281, 9609, 35824, 939, 7457, 16, 6895, 20432, 17615, 680, 16870, 5781, 25970, 16, 367, 1038, 1613, 20614, 16, 282, 5990, 2557, 475, 17, 2767, 371, 9924, 802, 18, 478, 4348, 27797, 687, 2236, 30, 785, 10970, 394, 360, 1999, 487, 8348, 18, 1606, 726, 289, 2419, 32629, 16, 374, 282, 8372, 9600, 1003, 9130, 6761, 294, 15504, 17, 299, 17664, 33914, 16, 367, 475, 697, 46913, 333, 623, 1489, 1718, 1886, 309, 4700, 17, 299, 12025, 1901, 27241, 4912, 14971, 18, 32798, 16, 753, 329, 17981, 11576, 12964, 11211, 1423, 12853, 26003, 910, 510, 1109, 478, 46088, 18, 8381, 470, 8624, 7067, 26878, 478, 6115, 4825, 9134, 6315, 38803, 470, 12426, 890, 23381, 314, 441, 302, 562, 18, 824, 505, 4734, 16, 753, 282, 7823, 8689, 14214, 2155, 322, 639, 16, 2003, 16794, 475, 32685, 3320, 478, 431, 14536, 24617, 1263, 291, 11593, 478, 16745, 912, 1513, 428, 17, 299, 39327, 16, 374, 15270, 21422, 541, 17310, 43934, 33431, 322, 1513, 16, 481, 322, 4421, 43025, 18, 1345, 1215, 939, 322, 11843, 953, 17664, 5364, 16, 11843, 17168, 14371, 16, 367, 24030, 16, 6891, 16, 3957, 411, 813, 2048, 1717, 17664, 1356, 861, 985, 5273, 5037, 25656, 416, 3320, 478, 618, 8047, 470, 8973, 688, 10350, 1624, 13479, 14703, 20146, 322, 282, 3709, 4987, 339, 309, 1500, 16, 374, 7312, 282, 5990, 2557, 16, 7433, 16, 1441, 16171, 309, 478, 29154, 3228, 470, 478, 983, 890, 486, 10347, 17, 297, 5782, 470, 3215, 43348, 18, 478, 4580, 4879, 322, 18691, 451, 281, 12898, 4669, 4947, 4611, 22050, 16, 42042, 10839, 1574, 2553, 10933, 2891, 322, 1698, 18, 30704, 16, 3818, 46067, 12414, 1116, 13746, 639, 373, 334, 17, 7298, 825, 26581, 282, 49798, 553, 481, 3003, 16, 367, 970, 718, 24979, 16, 2645, 2822, 281, 7371, 649, 478, 13310, 454, 910, 289, 1551, 957, 16, 281, 1498, 6010, 7894, 16, 453, 575, 334, 17, 7298, 825, 13296, 282, 3560, 5113, 7170, 9270, 4972, 1767, 18, 49957, 18269, 7726, 1595, 4457, 282, 32078, 910, 510, 1109, 492, 478, 46088, 18, 8381, 861, 824, 505, 4734, 16, 282, 5975, 808, 11461, 7811, 281, 17664, 26763, 10191, 475, 1033, 37163, 758, 18, 478, 36865, 3437, 4497, 512, 16, 1639, 34856, 282, 20701, 1531, 455, 2553, 6929, 8314, 15289, 3320, 18, 3428, 38472, 2959, 309, 11369, 16, 2588, 1551, 282, 34819, 1484, 13749, 17664, 16458, 18, 4794, 1101, 2236, 7431, 18, 2681, 1373, 1008, 451, 12751, 40432, 24820, 309, 4067, 380, 2865, 8943, 9589, 9180, 416, 20142, 6993, 13561, 2209, 1175, 4008, 16, 1586, 371, 803, 43222, 42096, 5633, 20319, 309, 3333, 43477, 4662, 18, 30704, 16, 374, 294, 3327, 382, 7179, 11896, 367, 1314, 7556, 19951, 467, 282, 11976, 9985, 5855, 6688, 910, 510, 5273, 688, 10350, 18, 2255, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 1110, 1326, 14927, 1545, 309, 5259, 15758, 6029, 1125, 17937, 541, 10014, 26226, 13124, 478, 983, 890, 486, 10347, 17, 297, 1004, 470, 15104, 24382, 30653, 434, 11413, 478, 26376, 7716, 488, 25058, 11449, 4314, 289, 33085, 41477, 2099, 622, 1631, 334, 2202, 454, 505, 3361, 294, 15878, 3559, 1116, 282, 16152, 7178, 536, 26410, 6086, 910, 289, 745, 20353, 282, 1551, 281, 44818, 290, 505, 46223, 18, 3397, 4126, 726, 9378, 294, 9747, 18, 824, 14371, 478, 630, 17998, 1290, 17664, 33914, 470, 38368, 1500, 670, 8496, 6771, 17664, 285, 1703, 942, 1122, 575, 16, 988, 492, 685, 32380, 16, 515, 4092, 2365, 294, 49613, 492, 840, 334, 3025, 1175, 18, 1178, 1543, 575, 30536, 13894, 39602, 289, 478, 983, 890, 486, 10347, 17, 297, 1306, 910, 502, 678, 7625, 3213, 31974, 6656, 17664, 21456, 4974, 45046, 419, 1624, 988, 309, 5734, 2083, 726, 47360, 1715, 28453, 4092, 11504, 294, 49613, 39592, 823, 523, 16, 6866, 16, 6623, 289, 35096, 5159, 18, 1012, 2088, 1733, 1078, 13108, 282, 12564, 10172, 478, 6115, 4825, 9134, 6315, 38803, 470, 5548, 20353, 281, 22573, 34496, 294, 31870, 11919, 13105, 16, 282, 2114, 31010, 697, 2904, 309, 20966, 282, 5990, 2557, 289, 24136, 43115, 282, 6730, 18, 20346, 11919, 950, 726, 41280, 2159, 23716, 20323, 7583, 17981, 1624, 367, 282, 9937, 309, 3193, 30653, 434, 11413, 20137, 726, 309, 1033, 12896, 5066, 18, 985, 3110, 478, 26627, 17, 818, 17, 440, 910, 8099, 7796, 1552, 13105, 385, 3372, 2165, 20385, 5573, 12586, 274, 6315, 28021, 8566, 478, 447, 11835, 23198, 3663, 470, 49827, 4126, 289, 2815, 16, 374, 28402, 726, 6287, 19934, 281, 27218, 23536, 290, 38508, 16207, 8292, 4096, 16, 453, 428, 282, 4008, 294, 2856, 478, 6762, 7585, 9823, 8249, 861, 999, 36283, 726, 3711, 15141, 5559, 334, 2987, 1175, 282, 13105, 25682, 22158, 333, 888, 18, 817, 2815, 16338, 16, 374, 505, 939, 478, 1035, 2137, 341, 470, 20966, 282, 5990, 2557, 30, 478, 28526, 878, 16, 282, 4006, 547, 3580, 5990, 2557, 47616, 1617, 13231, 1527, 18, 889, 939, 19610, 861, 478, 1358, 9763, 20075, 24829, 400, 11105, 16, 785, 4136, 17, 3697, 7383, 549, 8385, 8405, 282, 12564, 18, 1787, 1209, 30098, 2388, 4556, 7383, 318, 910, 510, 2815, 492, 18, 889, 726, 2992, 3022, 16, 785, 15068, 11211, 17664, 16458, 48705, 4833, 541, 30098, 6931, 9466, 5065, 4953, 668, 19801, 349, 17784, 18, 365, 5049, 1045, 3584, 5735, 2365, 778, 1551, 40286, 680, 1767, 31544, 294, 49613, 428, 17664, 41275, 1854, 478, 3693, 546, 9015, 470, 23818, 367, 530, 303, 1018, 37827, 355, 307, 16, 19698, 420, 2822, 19276, 2127, 35972, 282, 48456, 18, 4824, 411, 22912, 541, 5303, 19276, 680, 8193, 17180, 1038, 1441, 25660, 1463, 282, 14526, 17664, 21456, 4974, 45046, 419, 18, 3529, 3003, 3584, 5735, 2365, 718, 5129, 5666, 2311, 35632, 3333, 865, 448, 19276, 1133, 11775, 18, 28186, 16986, 334, 19320, 13287, 16047, 890, 3951, 367, 530, 303, 332, 47635, 47751, 7362, 457, 562, 1711, 312, 27834, 16, 374, 5273, 3280, 536, 13547, 478, 1567, 1452, 315, 19276, 718, 6325, 16, 1029, 21976, 2712, 11357, 3137, 2309, 910, 367, 5854, 11113, 1081, 10007, 17, 296, 346, 2936, 718, 1781, 341, 718, 5500, 282, 403, 3859, 17487, 488, 768, 11528, 420, 529, 1866, 300, 30483, 17, 265, 616, 1703, 40126, 6228, 24423, 322, 282, 24235, 2580, 18, 3557, 322, 2619, 3003, 3584, 5735, 2365, 718, 5129, 453, 289, 5290, 282, 16143, 18, 2046, 329, 7032, 478, 6115, 4825, 9134, 6315, 38803, 470, 912, 14321, 16, 374, 294, 10744, 277, 13105, 16, 2588, 281, 9609, 35824, 939, 7457, 16, 6895, 20432, 17615, 680, 16870, 5781, 25970, 16, 367, 1038, 1613, 20614, 16, 282, 5990, 2557, 475, 17, 2767, 371, 9924, 802, 18, 478, 4348, 27797, 687, 2236, 30, 785, 10970, 394, 360, 1999, 487, 8348, 18, 1606, 726, 289, 2419, 32629, 16, 374, 282, 8372, 9600, 1003, 9130, 6761, 294, 15504, 17, 299, 17664, 33914, 16, 367, 475, 697, 46913, 333, 623, 1489, 1718, 1886, 309, 4700, 17, 299, 12025, 1901, 27241, 4912, 14971, 18, 32798, 16, 753, 329, 17981, 11576, 12964, 11211, 1423, 12853, 26003, 910, 510, 1109, 478, 46088, 18, 8381, 470, 8624, 7067, 26878, 478, 6115, 4825, 9134, 6315, 38803, 470, 12426, 890, 23381, 314, 441, 302, 562, 18, 824, 505, 4734, 16, 753, 282, 7823, 8689, 14214, 2155, 322, 639, 16, 2003, 16794, 475, 32685, 3320, 478, 431, 14536, 24617, 1263, 291, 11593, 478, 16745, 912, 1513, 428, 17, 299, 39327, 16, 374, 15270, 21422, 541, 17310, 43934, 33431, 322, 1513, 16, 481, 322, 4421, 43025, 18, 1345, 1215, 939, 322, 11843, 953, 17664, 5364, 16, 11843, 17168, 14371, 16, 367, 24030, 16, 6891, 16, 3957, 411, 813, 2048, 1717, 17664, 1356, 861, 985, 5273, 5037, 25656, 416, 3320, 478, 618, 8047, 470, 8973, 688, 10350, 1624, 13479, 14703, 20146, 322, 282, 3709, 4987, 339, 309, 1500, 16, 374, 7312, 282, 5990, 2557, 16, 7433, 16, 1441, 16171, 309, 478, 29154, 3228, 470, 478, 983, 890, 486, 10347, 17, 297, 5782, 470, 3215, 43348, 18, 478, 4580, 4879, 322, 18691, 451, 281, 12898, 4669, 4947, 4611, 22050, 16, 42042, 10839, 1574, 2553, 10933, 2891, 322, 1698, 18, 30704, 16, 3818, 46067, 12414, 1116, 13746, 639, 373, 334, 17, 7298, 825, 26581, 282, 49798, 553, 481, 3003, 16, 367, 970, 718, 24979, 16, 2645, 2822, 281, 7371, 649, 478, 13310, 454, 910, 289, 1551, 957, 16, 281, 1498, 6010, 7894, 16, 453, 575, 334, 17, 7298, 825, 13296, 282, 3560, 5113, 7170, 9270, 4972, 1767, 18, 49957, 18269, 7726, 1595, 4457, 282, 32078, 910, 510, 1109, 492, 478, 46088, 18, 8381, 861, 824, 505, 4734, 16, 282, 5975, 808, 11461, 7811, 281, 17664, 26763, 10191, 475, 1033, 37163, 758, 18, 478, 36865, 3437, 4497, 512, 16, 1639, 34856, 282, 20701, 1531, 455, 2553, 6929, 8314, 15289, 3320, 18, 3428, 38472, 2959, 309, 11369, 16, 2588, 1551, 282, 34819, 1484, 13749, 17664, 16458, 18, 4794, 1101, 2236, 7431, 18, 2681, 1373, 1008, 451, 12751, 40432, 24820, 309, 4067, 380, 2865, 8943, 9589, 9180, 416, 20142, 6993, 13561, 2209, 1175, 4008, 16, 1586, 371, 803, 43222, 42096, 5633, 20319, 309, 3333, 43477, 4662, 18, 30704, 16, 374, 294, 3327, 382, 7179, 11896, 367, 1314, 7556, 19951, 467, 282, 11976, 9985, 5855, 6688, 910, 510, 5273, 688, 10350, 18, 2255, 282 ]
[ 19862, 11896, 263, 16, 537, 282, 970, 680, 43130, 10211, 6730, 322, 13985, 4364, 18, 2, 1, 87, 1456, 81, 2448, 30, 19571, 2696, 11285, 34445, 2376, 30523, 14326, 11337, 1939, 17, 11884, 1977, 613, 20888, 7905, 1602, 18, 450, 2594, 40886, 14007, 5538, 2496, 37185, 3690, 685, 7808, 411, 17, 431, 924, 16, 374, 38548, 811, 349, 2803, 16, 1029, 519, 978, 16192, 300, 294, 14411, 282, 3709, 411, 31355, 26035, 309, 5964, 11997, 9548, 18, 31224, 30, 19571, 2696, 11285, 34445, 2376, 1257, 13089, 7953, 448, 7005, 15140, 10076, 13866, 812, 9305, 4027, 5538, 334, 282, 10365, 8384, 2496, 37185, 3690, 20888, 7905, 1602, 18, 16273, 381, 803, 6605, 309, 17292, 3614, 30653, 434, 11413, 18, 478, 26595, 24977, 16, 1029, 14268, 294, 3280, 3707, 16, 12393, 364, 13013, 16, 14170, 1510, 282, 3709, 411, 31355, 26035, 20268, 31248, 1690, 328, 1251, 16465, 5406, 16, 32715, 5583, 309, 11997, 7229, 1974, 281, 7905, 1602, 16, 289, 4778, 11471, 1134, 18, 817, 2780, 17221, 874, 294, 14411, 16, 3954, 574, 1754, 6820, 14169, 18, 12167, 1974, 281, 4566, 9551, 23009, 3515, 426, 613, 12649, 16, 988, 411, 5442, 910, 510, 46251, 282, 4439, 4141, 18, 3791, 13462, 16, 374, 12816, 7905, 1602, 322, 13382, 282, 41938, 18, 478, 4408, 37980, 1779, 20824, 309, 3961, 7905, 1602, 289, 1888, 1977, 2279, 16, 961, 294, 2856, 18254, 726, 24852, 16, 515, 334, 21550, 411, 3736, 346, 11138, 1631, 6858, 281, 1498, 16, 753, 12369, 9080, 11220, 18, 640, 5964, 11997, 9548, 745, 22581, 10845, 16, 282, 1754, 6820, 48937, 3359, 3954, 574, 6556, 18, 7905, 1602, 2780, 281, 1498, 9633, 1086, 16, 515, 282, 1177, 2083, 309, 1047, 26010, 6501, 8182, 1512, 16, 1176, 411, 1639, 7730, 11471, 272, 5335, 16717, 282, 1195, 1446, 447, 4368, 6391, 16, 367, 2992, 510, 5335, 7722, 4118, 14519, 496, 334, 4822, 18, 4541, 2615, 411, 13403, 2339, 4445, 411, 3128, 8781, 289, 7730, 773, 5335, 334, 4822, 48944, 18, 365, 3198, 697, 5348, 7905, 1602, 16342, 910, 510, 1038, 5130, 282, 9907, 18, 28186, 41843, 6660, 334, 967, 32951, 2818, 32379, 9715, 31069, 429, 873, 987, 291, 16, 1726, 2728, 290, 4542, 14160, 16, 3828, 16, 374, 334, 49605, 6619, 3029, 4633, 475, 9980, 24492, 16, 7005, 1639, 7614, 802, 282, 10264, 808, 18, 478, 677, 4542, 14372, 1901, 994, 2794, 5348, 309, 2468, 13631, 282, 36646, 32380, 32276, 2744, 6965, 279, 11914, 16, 282, 8036, 510, 1240, 1869, 7899, 22525, 4655, 16, 961, 24577, 8702, 488, 2608, 8150, 18, 3791, 23076, 289, 39152, 276, 22385, 936, 289, 9234, 16, 411, 2024, 3348, 411, 6367, 11220, 1611, 2602, 32992, 282, 16550, 18, 20390, 4973, 12529, 290, 970, 16, 374, 18974, 39715, 23957, 895, 953, 14785, 286, 294, 17188, 17209, 910, 510, 5130, 309, 17292, 3614, 33515, 7920, 18, 29951, 16804, 12130, 41843, 3594, 6370, 1845, 2446, 483, 4848, 290, 30185, 15140, 18, 478, 45182, 274, 334, 49605, 6619, 16, 656, 13517, 16, 374, 9543, 685, 322, 687, 18861, 34997, 11471, 304, 16, 515, 289, 14158, 16, 42896, 8323, 345, 3328, 16, 26524, 5406, 16, 32404, 4413, 16, 294, 5076, 37121, 3333, 1749, 18, 2320, 4913, 9468, 4318, 3716, 1209, 13873, 289, 935, 322, 13873, 281, 1498, 5303, 34445, 2376, 289, 3725, 1888, 12466, 18, 459, 3716, 2552, 16, 428, 656, 7967, 411, 8347, 16695, 16, 988, 19003, 15743, 3463, 5806, 16, 37275, 6347, 4838, 14132, 1101, 910, 510, 2815, 1845, 2446, 483, 18, 640, 17799, 41816, 30712, 40451, 17821, 7642, 18, 1032, 3597, 2438, 3665, 290, 970, 16, 374, 360, 21958, 6786, 16342, 15136, 17487, 27551, 16, 1029, 685, 11620, 2409, 7905, 1602, 18, 824, 3163, 4729, 21658, 16, 492, 7766, 40209, 3554, 1728, 18237, 837, 18, 15712, 285, 3826, 309, 39847, 282, 17739, 269, 2557, 16, 988, 41451, 18823, 34445, 2376, 294, 15784, 1016, 2422, 2496, 34054, 291, 18, 2123, 3597, 17487, 487, 11118, 2993, 639, 2417, 9902, 22291, 986, 18, 14467, 343, 16, 282, 1754, 3994, 7905, 1602, 16, 13132, 282, 3765, 309, 4518, 4189, 18, 13630, 17627, 4486, 282, 16765, 41816, 898, 18622, 28384, 18, 4824, 411, 1129, 726, 3118, 13749, 1423, 16789, 18, 16577, 6711, 808, 1011, 13631, 7259, 7342, 1175, 334, 282, 10365, 8384, 608, 3852, 1782, 296, 7656, 33420, 32850, 9422, 28147, 26589, 12851, 541, 33724, 41816, 18, 478, 33734, 3378, 9422, 28147, 26589, 12851, 541, 1967, 16, 1639, 935, 5578, 7818, 4385, 18, 385, 1567, 5721, 435, 16, 374, 21247, 5348, 334, 1335, 4096, 1003, 18, 32798, 16, 753, 481, 1743, 11980, 309, 9250, 5040, 16, 289, 639, 24375, 1569, 519, 3915, 18, 23505, 685, 939, 7653, 16, 27581, 451, 18, 20827, 505, 428, 322, 1225, 16210, 434, 10431, 18, 640, 5626, 4750, 16, 374, 492, 4223, 10449, 16, 367, 2915, 726, 475, 10243, 910, 510, 15875, 1782, 296, 39924, 40568, 18, 15712, 285, 12076, 48450, 1066, 309, 3499, 4830, 1175, 9001, 9620, 289, 6677, 8231, 9001, 4402, 368, 380, 15043, 1624, 282, 1754, 14868, 30149, 1489, 15857, 3496, 4287, 7905, 1602, 18, 12280, 8097, 16, 374, 7905, 1602, 10490, 19575, 26109, 5538, 2496, 37185, 3690, 289, 25500, 325, 12270, 11310, 7928, 12672, 7663, 18, 26093, 2840, 1977, 613, 639, 3455, 282, 21741, 16702, 510, 25831, 282, 29329, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 21917, 1157, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 471, 16945, 1484, 5311, 470, 510, 9670, 16, 5219, 274, 4587, 18909, 4497, 13193, 31294, 510, 895, 3604, 10579, 1230, 1212, 7421, 18, 385, 4111, 6101, 10305, 6645, 759, 3772, 294, 7143, 536, 1119, 11293, 18, 740, 14033, 23271, 282, 12890, 2483, 315, 17, 22648, 2585, 40471, 840, 16859, 16, 24549, 10033, 34450, 30, 541, 26175, 14758, 1033, 4748, 5296, 8743, 16, 32862, 282, 4365, 16090, 18, 31224, 30, 471, 16945, 1484, 5311, 910, 3785, 477, 3417, 17, 45900, 536, 12070, 4000, 282, 3131, 962, 282, 5492, 24814, 29186, 434, 5054, 16, 895, 23113, 4769, 10305, 18, 1367, 803, 567, 12241, 3828, 3781, 17, 3822, 711, 478, 16945, 1484, 3063, 861, 37931, 4653, 3281, 2241, 2879, 953, 519, 3290, 324, 16, 6881, 14697, 15757, 3463, 16, 42395, 282, 4301, 11758, 7067, 334, 23534, 24838, 624, 12942, 37268, 17, 1013, 1666, 3643, 10528, 1175, 18, 365, 4810, 16, 478, 16945, 1484, 5311, 910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19862, 11896, 263, 16, 537, 282, 970, 680, 43130, 10211, 6730, 322, 13985, 4364, 18, 2, 1, 87, 1456, 81, 2448, 30, 19571, 2696, 11285, 34445, 2376, 30523, 14326, 11337, 1939, 17, 11884, 1977, 613, 20888, 7905, 1602, 18, 450, 2594, 40886, 14007, 5538, 2496, 37185, 3690, 685, 7808, 411, 17, 431, 924, 16, 374, 38548, 811, 349, 2803, 16, 1029, 519, 978, 16192, 300, 294, 14411, 282, 3709, 411, 31355, 26035, 309, 5964, 11997, 9548, 18, 31224, 30, 19571, 2696, 11285, 34445, 2376, 1257, 13089, 7953, 448, 7005, 15140, 10076, 13866, 812, 9305, 4027, 5538, 334, 282, 10365, 8384, 2496, 37185, 3690, 20888, 7905, 1602, 18, 16273, 381, 803, 6605, 309, 17292, 3614, 30653, 434, 11413, 18, 478, 26595, 24977, 16, 1029, 14268, 294, 3280, 3707, 16, 12393, 364, 13013, 16, 14170, 1510, 282, 3709, 411, 31355, 26035, 20268, 31248, 1690, 328, 1251, 16465, 5406, 16, 32715, 5583, 309, 11997, 7229, 1974, 281, 7905, 1602, 16, 289, 4778, 11471, 1134, 18, 817, 2780, 17221, 874, 294, 14411, 16, 3954, 574, 1754, 6820, 14169, 18, 12167, 1974, 281, 4566, 9551, 23009, 3515, 426, 613, 12649, 16, 988, 411, 5442, 910, 510, 46251, 282, 4439, 4141, 18, 3791, 13462, 16, 374, 12816, 7905, 1602, 322, 13382, 282, 41938, 18, 478, 4408, 37980, 1779, 20824, 309, 3961, 7905, 1602, 289, 1888, 1977, 2279, 16, 961, 294, 2856, 18254, 726, 24852, 16, 515, 334, 21550, 411, 3736, 346, 11138, 1631, 6858, 281, 1498, 16, 753, 12369, 9080, 11220, 18, 640, 5964, 11997, 9548, 745, 22581, 10845, 16, 282, 1754, 6820, 48937, 3359, 3954, 574, 6556, 18, 7905, 1602, 2780, 281, 1498, 9633, 1086, 16, 515, 282, 1177, 2083, 309, 1047, 26010, 6501, 8182, 1512, 16, 1176, 411, 1639, 7730, 11471, 272, 5335, 16717, 282, 1195, 1446, 447, 4368, 6391, 16, 367, 2992, 510, 5335, 7722, 4118, 14519, 496, 334, 4822, 18, 4541, 2615, 411, 13403, 2339, 4445, 411, 3128, 8781, 289, 7730, 773, 5335, 334, 4822, 48944, 18, 365, 3198, 697, 5348, 7905, 1602, 16342, 910, 510, 1038, 5130, 282, 9907, 18, 28186, 41843, 6660, 334, 967, 32951, 2818, 32379, 9715, 31069, 429, 873, 987, 291, 16, 1726, 2728, 290, 4542, 14160, 16, 3828, 16, 374, 334, 49605, 6619, 3029, 4633, 475, 9980, 24492, 16, 7005, 1639, 7614, 802, 282, 10264, 808, 18, 478, 677, 4542, 14372, 1901, 994, 2794, 5348, 309, 2468, 13631, 282, 36646, 32380, 32276, 2744, 6965, 279, 11914, 16, 282, 8036, 510, 1240, 1869, 7899, 22525, 4655, 16, 961, 24577, 8702, 488, 2608, 8150, 18, 3791, 23076, 289, 39152, 276, 22385, 936, 289, 9234, 16, 411, 2024, 3348, 411, 6367, 11220, 1611, 2602, 32992, 282, 16550, 18, 20390, 4973, 12529, 290, 970, 16, 374, 18974, 39715, 23957, 895, 953, 14785, 286, 294, 17188, 17209, 910, 510, 5130, 309, 17292, 3614, 33515, 7920, 18, 29951, 16804, 12130, 41843, 3594, 6370, 1845, 2446, 483, 4848, 290, 30185, 15140, 18, 478, 45182, 274, 334, 49605, 6619, 16, 656, 13517, 16, 374, 9543, 685, 322, 687, 18861, 34997, 11471, 304, 16, 515, 289, 14158, 16, 42896, 8323, 345, 3328, 16, 26524, 5406, 16, 32404, 4413, 16, 294, 5076, 37121, 3333, 1749, 18, 2320, 4913, 9468, 4318, 3716, 1209, 13873, 289, 935, 322, 13873, 281, 1498, 5303, 34445, 2376, 289, 3725, 1888, 12466, 18, 459, 3716, 2552, 16, 428, 656, 7967, 411, 8347, 16695, 16, 988, 19003, 15743, 3463, 5806, 16, 37275, 6347, 4838, 14132, 1101, 910, 510, 2815, 1845, 2446, 483, 18, 640, 17799, 41816, 30712, 40451, 17821, 7642, 18, 1032, 3597, 2438, 3665, 290, 970, 16, 374, 360, 21958, 6786, 16342, 15136, 17487, 27551, 16, 1029, 685, 11620, 2409, 7905, 1602, 18, 824, 3163, 4729, 21658, 16, 492, 7766, 40209, 3554, 1728, 18237, 837, 18, 15712, 285, 3826, 309, 39847, 282, 17739, 269, 2557, 16, 988, 41451, 18823, 34445, 2376, 294, 15784, 1016, 2422, 2496, 34054, 291, 18, 2123, 3597, 17487, 487, 11118, 2993, 639, 2417, 9902, 22291, 986, 18, 14467, 343, 16, 282, 1754, 3994, 7905, 1602, 16, 13132, 282, 3765, 309, 4518, 4189, 18, 13630, 17627, 4486, 282, 16765, 41816, 898, 18622, 28384, 18, 4824, 411, 1129, 726, 3118, 13749, 1423, 16789, 18, 16577, 6711, 808, 1011, 13631, 7259, 7342, 1175, 334, 282, 10365, 8384, 608, 3852, 1782, 296, 7656, 33420, 32850, 9422, 28147, 26589, 12851, 541, 33724, 41816, 18, 478, 33734, 3378, 9422, 28147, 26589, 12851, 541, 1967, 16, 1639, 935, 5578, 7818, 4385, 18, 385, 1567, 5721, 435, 16, 374, 21247, 5348, 334, 1335, 4096, 1003, 18, 32798, 16, 753, 481, 1743, 11980, 309, 9250, 5040, 16, 289, 639, 24375, 1569, 519, 3915, 18, 23505, 685, 939, 7653, 16, 27581, 451, 18, 20827, 505, 428, 322, 1225, 16210, 434, 10431, 18, 640, 5626, 4750, 16, 374, 492, 4223, 10449, 16, 367, 2915, 726, 475, 10243, 910, 510, 15875, 1782, 296, 39924, 40568, 18, 15712, 285, 12076, 48450, 1066, 309, 3499, 4830, 1175, 9001, 9620, 289, 6677, 8231, 9001, 4402, 368, 380, 15043, 1624, 282, 1754, 14868, 30149, 1489, 15857, 3496, 4287, 7905, 1602, 18, 12280, 8097, 16, 374, 7905, 1602, 10490, 19575, 26109, 5538, 2496, 37185, 3690, 289, 25500, 325, 12270, 11310, 7928, 12672, 7663, 18, 26093, 2840, 1977, 613, 639, 3455, 282, 21741, 16702, 510, 25831, 282, 29329, 18, 11333, 7036, 289, 6034, 942, 5298, 309, 7759, 21917, 1157, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 677, 22530, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 471, 16945, 1484, 5311, 470, 510, 9670, 16, 5219, 274, 4587, 18909, 4497, 13193, 31294, 510, 895, 3604, 10579, 1230, 1212, 7421, 18, 385, 4111, 6101, 10305, 6645, 759, 3772, 294, 7143, 536, 1119, 11293, 18, 740, 14033, 23271, 282, 12890, 2483, 315, 17, 22648, 2585, 40471, 840, 16859, 16, 24549, 10033, 34450, 30, 541, 26175, 14758, 1033, 4748, 5296, 8743, 16, 32862, 282, 4365, 16090, 18, 31224, 30, 471, 16945, 1484, 5311, 910, 3785, 477, 3417, 17, 45900, 536, 12070, 4000, 282, 3131, 962, 282, 5492, 24814, 29186, 434, 5054, 16, 895, 23113, 4769, 10305, 18, 1367, 803, 567, 12241, 3828, 3781, 17, 3822, 711, 478, 16945, 1484, 3063, 861, 37931, 4653, 3281, 2241, 2879, 953, 519, 3290, 324, 16, 6881, 14697, 15757, 3463, 16, 42395, 282, 4301, 11758, 7067, 334, 23534, 24838, 624, 12942, 37268, 17, 1013, 1666, 3643, 10528, 1175, 18, 365, 4810, 16, 478, 16945, 1484, 5311, 910 ]
[ 1372, 3308, 282, 19145, 9670, 16, 2879, 1852, 7233, 11024, 16, 3110, 3781, 17, 9952, 4497, 14328, 41841, 18, 478, 16945, 1484, 5311, 470, 510, 4365, 16090, 16, 5219, 35466, 10608, 4497, 8043, 8743, 473, 5493, 9670, 289, 2511, 49526, 26595, 13, 24402, 2748, 1640, 16, 46462, 23281, 18, 8444, 15622, 309, 5137, 478, 28180, 1484, 3063, 470, 282, 4440, 1045, 18, 8444, 1650, 3645, 281, 5173, 36003, 10931, 309, 46688, 26335, 1175, 16, 282, 970, 2875, 651, 309, 32184, 4357, 45786, 2800, 18, 1598, 21459, 2726, 8260, 17, 1599, 1161, 6101, 2241, 478, 26296, 1102, 341, 19302, 18909, 9326, 282, 6491, 4497, 31727, 20226, 382, 309, 5137, 9556, 5434, 3594, 910, 367, 1038, 8481, 2869, 23724, 1403, 1769, 17, 2247, 434, 40471, 281, 5173, 519, 40868, 2682, 4497, 31727, 20226, 10903, 6272, 282, 2881, 304, 18558, 349, 2948, 1844, 47044, 432, 11861, 16, 42538, 282, 4365, 1428, 1484, 16, 3116, 7892, 16, 374, 14909, 20458, 2241, 2993, 24800, 722, 4372, 10321, 590, 418, 2830, 954, 18, 21552, 20553, 10931, 4210, 5035, 680, 4419, 3153, 16, 374, 30178, 3281, 478, 16945, 1484, 3063, 470, 519, 25831, 779, 895, 953, 19452, 23318, 282, 5572, 17, 275, 2610, 19936, 3734, 779, 18, 5035, 680, 685, 12651, 6700, 27794, 2610, 478, 16945, 1484, 3063, 861, 2112, 505, 10781, 309, 3059, 6677, 15310, 22028, 2854, 10722, 6700, 35544, 2241, 1623, 4944, 12250, 22689, 510, 1176, 411, 7032, 15757, 3463, 16, 1978, 25942, 18506, 6101, 10305, 478, 16945, 1484, 3063, 861, 478, 5673, 3785, 9414, 3089, 1190, 24552, 910, 510, 5273, 7897, 16, 13877, 281, 21285, 282, 478, 16945, 1484, 3063, 861, 824, 505, 3163, 16, 3785, 2879, 906, 32550, 13383, 9759, 4497, 8043, 22240, 16, 515, 309, 11204, 1967, 22240, 322, 5092, 18, 478, 677, 11063, 6271, 16, 29465, 973, 282, 478, 16945, 1484, 20415, 910, 9600, 11157, 6501, 651, 6187, 289, 14995, 16, 4302, 1888, 12094, 322, 639, 16, 510, 10662, 7897, 478, 32485, 18, 8381, 861, 651, 1895, 1398, 36198, 4497, 13193, 2241, 473, 11838, 16, 478, 4298, 313, 5350, 15207, 464, 17792, 1484, 5311, 9979, 282, 478, 16945, 1484, 20415, 470, 2002, 322, 22907, 289, 322, 47225, 861, 824, 3163, 15479, 16, 478, 16945, 1484, 5311, 470, 4452, 309, 5003, 547, 8527, 8292, 18, 478, 28526, 878, 16, 5035, 680, 3508, 2048, 722, 17086, 16, 367, 541, 978, 6453, 3674, 16, 510, 2548, 7897, 18, 651, 365, 31964, 1230, 1212, 7421, 478, 16945, 1484, 3063, 470, 3604, 697, 840, 8030, 861, 4199, 742, 9835, 1185, 1052, 5109, 4210, 7907, 44640, 512, 10050, 16, 374, 541, 23563, 7143, 434, 18942, 10579, 1230, 1212, 7421, 12839, 27126, 651, 481, 14217, 2285, 21261, 18, 478, 3743, 1403, 1769, 17, 2247, 539, 6357, 662, 16, 6891, 16, 27651, 16, 374, 24552, 840, 37865, 16, 367, 322, 7143, 536, 16, 510, 2548, 30599, 18, 510, 4185, 47832, 2483, 668, 10845, 25289, 528, 1659, 672, 16, 478, 16945, 1484, 5311, 470, 2879, 4417, 282, 3177, 18923, 1851, 17, 299, 25724, 2695, 18, 13353, 5751, 3328, 282, 7204, 1750, 17468, 16, 374, 478, 16945, 1484, 5311, 470, 840, 360, 3946, 4000, 36821, 1951, 1082, 1565, 269, 861, 18197, 432, 26764, 486, 10320, 2248, 432, 15802, 309, 1436, 582, 282, 26219, 322, 13077, 19155, 547, 4328, 476, 726, 322, 5290, 16, 4101, 31944, 478, 27280, 684, 323, 271, 470, 1624, 457, 13628, 17, 677, 730, 289, 478, 563, 671, 18436, 15207, 464, 17792, 861, 640, 32184, 2110, 45786, 399, 478, 18306, 470, 289, 478, 28828, 319, 470, 473, 2004, 3595, 2241, 16, 19176, 2990, 5245, 20992, 309, 45786, 2800, 13, 22438, 322, 15893, 25727, 12272, 18, 27695, 2059, 411, 5781, 15204, 46252, 1385, 6271, 4725, 16, 374, 1055, 30225, 24324, 322, 5695, 2490, 1580, 23363, 924, 16, 374, 3785, 16, 8527, 29374, 4497, 31727, 20226, 10699, 1810, 16, 12845, 2990, 309, 22990, 27306, 40808, 18, 478, 29160, 282, 22289, 16, 367, 1085, 840, 5245, 30382, 651, 322, 453, 4748, 910, 510, 29230, 492, 18, 2, 1, 87, 1456, 81, 2448, 30, 25769, 14538, 1175, 5698, 435, 3531, 10621, 32167, 31324, 22170, 49297, 1831, 45039, 282, 9516, 1195, 12799, 3032, 8802, 2801, 779, 18, 824, 3761, 9322, 11413, 16, 30349, 16, 4524, 27723, 15325, 1458, 16, 906, 5456, 2773, 282, 15269, 1045, 309, 29343, 547, 25991, 282, 40977, 412, 945, 547, 18, 365, 970, 575, 1045, 722, 18310, 282, 18022, 2301, 282, 16762, 2127, 6391, 16, 289, 309, 9482, 2407, 678, 322, 19296, 2829, 16, 367, 1548, 12529, 16, 374, 478, 20181, 2976, 470, 281, 7954, 19186, 17736, 17, 274, 22578, 2911, 17, 48471, 549, 25904, 510, 44218, 324, 18, 31224, 30, 31971, 1318, 662, 7225, 1175, 282, 4542, 18362, 41575, 486, 1474, 857, 3531, 5024, 290, 32942, 289, 9353, 7478, 32167, 13347, 718, 31324, 1624, 8380, 2822, 22170, 49297, 1831, 45039, 16, 282, 9516, 1195, 12799, 3032, 282, 11872, 2801, 779, 18, 824, 3761, 19267, 1624, 8341, 349, 3824, 48013, 6546, 21429, 18347, 2891, 18, 365, 4542, 41575, 486, 7190, 19267, 2407, 49587, 1611, 6731, 6325, 1066, 309, 46303, 16, 1754, 16, 27966, 16, 685, 22157, 6413, 42070, 860, 44, 3420, 18, 824, 3761, 9322, 11413, 16, 30349, 1658, 780, 8081, 906, 4460, 798, 309, 10007, 17, 20697, 7292, 25991, 282, 40977, 412, 945, 547, 16, 294, 28016, 360, 4534, 16, 764, 282, 15269, 1045, 18, 365, 11023, 924, 575, 779, 678, 906, 48581, 309, 20319, 282, 18022, 2301, 31883, 1333, 3875, 4855, 6488, 22, 18, 9689, 8317, 5172, 13436, 510, 1488, 13944, 17, 28, 9247, 17, 7703, 29, 16, 289, 722, 7356, 3405, 23, 17, 274, 22578, 2911, 17, 48471, 549, 25904, 16, 2789, 27723, 282, 15269, 1045, 282, 2452, 967, 3509, 19308, 718, 9322, 8747, 16, 289, 6170, 435, 377, 11049, 282, 3580, 22227, 3951, 426, 282, 7676, 4258, 380, 680, 1767, 45620, 26973, 18, 640, 38257, 282, 19, 283, 2604, 22, 7038, 1717, 8187, 448, 9588, 478, 983, 1285, 861, 23102, 17510, 281, 1335, 8187, 323, 11890, 282, 8312, 2095, 31839, 282, 16762, 680, 1767, 16, 289, 281, 15269, 779, 309, 2923, 4433, 4551, 322, 373, 1909, 18, 2949, 924, 16, 282, 4542, 41575, 486, 10933, 9637, 12362, 16, 374, 2100, 27233, 2664, 334, 478, 280, 1384, 6710, 7179, 478, 983, 4474, 470, 898, 281, 43716, 2611, 6225, 14774, 16870, 289, 46052, 5345, 2389, 282, 4542, 14775, 718, 15140, 19349, 31324, 18, 9873, 4760 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1372, 3308, 282, 19145, 9670, 16, 2879, 1852, 7233, 11024, 16, 3110, 3781, 17, 9952, 4497, 14328, 41841, 18, 478, 16945, 1484, 5311, 470, 510, 4365, 16090, 16, 5219, 35466, 10608, 4497, 8043, 8743, 473, 5493, 9670, 289, 2511, 49526, 26595, 13, 24402, 2748, 1640, 16, 46462, 23281, 18, 8444, 15622, 309, 5137, 478, 28180, 1484, 3063, 470, 282, 4440, 1045, 18, 8444, 1650, 3645, 281, 5173, 36003, 10931, 309, 46688, 26335, 1175, 16, 282, 970, 2875, 651, 309, 32184, 4357, 45786, 2800, 18, 1598, 21459, 2726, 8260, 17, 1599, 1161, 6101, 2241, 478, 26296, 1102, 341, 19302, 18909, 9326, 282, 6491, 4497, 31727, 20226, 382, 309, 5137, 9556, 5434, 3594, 910, 367, 1038, 8481, 2869, 23724, 1403, 1769, 17, 2247, 434, 40471, 281, 5173, 519, 40868, 2682, 4497, 31727, 20226, 10903, 6272, 282, 2881, 304, 18558, 349, 2948, 1844, 47044, 432, 11861, 16, 42538, 282, 4365, 1428, 1484, 16, 3116, 7892, 16, 374, 14909, 20458, 2241, 2993, 24800, 722, 4372, 10321, 590, 418, 2830, 954, 18, 21552, 20553, 10931, 4210, 5035, 680, 4419, 3153, 16, 374, 30178, 3281, 478, 16945, 1484, 3063, 470, 519, 25831, 779, 895, 953, 19452, 23318, 282, 5572, 17, 275, 2610, 19936, 3734, 779, 18, 5035, 680, 685, 12651, 6700, 27794, 2610, 478, 16945, 1484, 3063, 861, 2112, 505, 10781, 309, 3059, 6677, 15310, 22028, 2854, 10722, 6700, 35544, 2241, 1623, 4944, 12250, 22689, 510, 1176, 411, 7032, 15757, 3463, 16, 1978, 25942, 18506, 6101, 10305, 478, 16945, 1484, 3063, 861, 478, 5673, 3785, 9414, 3089, 1190, 24552, 910, 510, 5273, 7897, 16, 13877, 281, 21285, 282, 478, 16945, 1484, 3063, 861, 824, 505, 3163, 16, 3785, 2879, 906, 32550, 13383, 9759, 4497, 8043, 22240, 16, 515, 309, 11204, 1967, 22240, 322, 5092, 18, 478, 677, 11063, 6271, 16, 29465, 973, 282, 478, 16945, 1484, 20415, 910, 9600, 11157, 6501, 651, 6187, 289, 14995, 16, 4302, 1888, 12094, 322, 639, 16, 510, 10662, 7897, 478, 32485, 18, 8381, 861, 651, 1895, 1398, 36198, 4497, 13193, 2241, 473, 11838, 16, 478, 4298, 313, 5350, 15207, 464, 17792, 1484, 5311, 9979, 282, 478, 16945, 1484, 20415, 470, 2002, 322, 22907, 289, 322, 47225, 861, 824, 3163, 15479, 16, 478, 16945, 1484, 5311, 470, 4452, 309, 5003, 547, 8527, 8292, 18, 478, 28526, 878, 16, 5035, 680, 3508, 2048, 722, 17086, 16, 367, 541, 978, 6453, 3674, 16, 510, 2548, 7897, 18, 651, 365, 31964, 1230, 1212, 7421, 478, 16945, 1484, 3063, 470, 3604, 697, 840, 8030, 861, 4199, 742, 9835, 1185, 1052, 5109, 4210, 7907, 44640, 512, 10050, 16, 374, 541, 23563, 7143, 434, 18942, 10579, 1230, 1212, 7421, 12839, 27126, 651, 481, 14217, 2285, 21261, 18, 478, 3743, 1403, 1769, 17, 2247, 539, 6357, 662, 16, 6891, 16, 27651, 16, 374, 24552, 840, 37865, 16, 367, 322, 7143, 536, 16, 510, 2548, 30599, 18, 510, 4185, 47832, 2483, 668, 10845, 25289, 528, 1659, 672, 16, 478, 16945, 1484, 5311, 470, 2879, 4417, 282, 3177, 18923, 1851, 17, 299, 25724, 2695, 18, 13353, 5751, 3328, 282, 7204, 1750, 17468, 16, 374, 478, 16945, 1484, 5311, 470, 840, 360, 3946, 4000, 36821, 1951, 1082, 1565, 269, 861, 18197, 432, 26764, 486, 10320, 2248, 432, 15802, 309, 1436, 582, 282, 26219, 322, 13077, 19155, 547, 4328, 476, 726, 322, 5290, 16, 4101, 31944, 478, 27280, 684, 323, 271, 470, 1624, 457, 13628, 17, 677, 730, 289, 478, 563, 671, 18436, 15207, 464, 17792, 861, 640, 32184, 2110, 45786, 399, 478, 18306, 470, 289, 478, 28828, 319, 470, 473, 2004, 3595, 2241, 16, 19176, 2990, 5245, 20992, 309, 45786, 2800, 13, 22438, 322, 15893, 25727, 12272, 18, 27695, 2059, 411, 5781, 15204, 46252, 1385, 6271, 4725, 16, 374, 1055, 30225, 24324, 322, 5695, 2490, 1580, 23363, 924, 16, 374, 3785, 16, 8527, 29374, 4497, 31727, 20226, 10699, 1810, 16, 12845, 2990, 309, 22990, 27306, 40808, 18, 478, 29160, 282, 22289, 16, 367, 1085, 840, 5245, 30382, 651, 322, 453, 4748, 910, 510, 29230, 492, 18, 2, 1, 87, 1456, 81, 2448, 30, 25769, 14538, 1175, 5698, 435, 3531, 10621, 32167, 31324, 22170, 49297, 1831, 45039, 282, 9516, 1195, 12799, 3032, 8802, 2801, 779, 18, 824, 3761, 9322, 11413, 16, 30349, 16, 4524, 27723, 15325, 1458, 16, 906, 5456, 2773, 282, 15269, 1045, 309, 29343, 547, 25991, 282, 40977, 412, 945, 547, 18, 365, 970, 575, 1045, 722, 18310, 282, 18022, 2301, 282, 16762, 2127, 6391, 16, 289, 309, 9482, 2407, 678, 322, 19296, 2829, 16, 367, 1548, 12529, 16, 374, 478, 20181, 2976, 470, 281, 7954, 19186, 17736, 17, 274, 22578, 2911, 17, 48471, 549, 25904, 510, 44218, 324, 18, 31224, 30, 31971, 1318, 662, 7225, 1175, 282, 4542, 18362, 41575, 486, 1474, 857, 3531, 5024, 290, 32942, 289, 9353, 7478, 32167, 13347, 718, 31324, 1624, 8380, 2822, 22170, 49297, 1831, 45039, 16, 282, 9516, 1195, 12799, 3032, 282, 11872, 2801, 779, 18, 824, 3761, 19267, 1624, 8341, 349, 3824, 48013, 6546, 21429, 18347, 2891, 18, 365, 4542, 41575, 486, 7190, 19267, 2407, 49587, 1611, 6731, 6325, 1066, 309, 46303, 16, 1754, 16, 27966, 16, 685, 22157, 6413, 42070, 860, 44, 3420, 18, 824, 3761, 9322, 11413, 16, 30349, 1658, 780, 8081, 906, 4460, 798, 309, 10007, 17, 20697, 7292, 25991, 282, 40977, 412, 945, 547, 16, 294, 28016, 360, 4534, 16, 764, 282, 15269, 1045, 18, 365, 11023, 924, 575, 779, 678, 906, 48581, 309, 20319, 282, 18022, 2301, 31883, 1333, 3875, 4855, 6488, 22, 18, 9689, 8317, 5172, 13436, 510, 1488, 13944, 17, 28, 9247, 17, 7703, 29, 16, 289, 722, 7356, 3405, 23, 17, 274, 22578, 2911, 17, 48471, 549, 25904, 16, 2789, 27723, 282, 15269, 1045, 282, 2452, 967, 3509, 19308, 718, 9322, 8747, 16, 289, 6170, 435, 377, 11049, 282, 3580, 22227, 3951, 426, 282, 7676, 4258, 380, 680, 1767, 45620, 26973, 18, 640, 38257, 282, 19, 283, 2604, 22, 7038, 1717, 8187, 448, 9588, 478, 983, 1285, 861, 23102, 17510, 281, 1335, 8187, 323, 11890, 282, 8312, 2095, 31839, 282, 16762, 680, 1767, 16, 289, 281, 15269, 779, 309, 2923, 4433, 4551, 322, 373, 1909, 18, 2949, 924, 16, 282, 4542, 41575, 486, 10933, 9637, 12362, 16, 374, 2100, 27233, 2664, 334, 478, 280, 1384, 6710, 7179, 478, 983, 4474, 470, 898, 281, 43716, 2611, 6225, 14774, 16870, 289, 46052, 5345, 2389, 282, 4542, 14775, 718, 15140, 19349, 31324, 18, 9873, 4760 ]
[ 290, 12765, 8137, 781, 16, 309, 41575, 1484, 282, 19267, 41657, 10680, 12807, 7069, 44855, 11738, 12201, 18133, 16, 1692, 7539, 282, 4145, 1045, 282, 46961, 1767, 371, 13148, 15099, 8187, 315, 17, 42868, 6114, 31839, 294, 14611, 277, 478, 19021, 3464, 17, 9989, 861, 42378, 906, 26186, 567, 808, 27008, 2332, 41061, 4669, 2926, 478, 780, 455, 11773, 861, 3529, 18347, 9637, 22457, 43939, 32962, 11314, 718, 13347, 718, 10601, 18, 478, 12105, 3223, 978, 294, 7521, 837, 2994, 39654, 837, 9142, 18702, 473, 283, 1359, 18, 510, 1336, 289, 5287, 22640, 564, 478, 32485, 18, 8381, 11523, 42311, 9867, 37115, 289, 13384, 30, 478, 12775, 613, 318, 16, 1215, 827, 840, 1215, 453, 16, 502, 18702, 473, 272, 32071, 406, 13, 764, 1176, 308, 15754, 11314, 778, 31324, 16, 289, 475, 840, 18702, 473, 38437, 13, 910, 510, 2815, 1176, 411, 6367, 11330, 16, 334, 3761, 7179, 19267, 510, 20203, 10948, 31839, 33056, 22982, 19751, 18, 365, 19267, 2407, 48484, 16, 374, 7190, 22546, 994, 2209, 3463, 1698, 16228, 281, 46916, 298, 14692, 25389, 334, 6619, 16, 289, 9337, 1967, 6702, 478, 404, 9466, 9012, 861, 26244, 938, 2503, 31324, 1409, 8318, 13132, 282, 9516, 1195, 16428, 1137, 1685, 2665, 2123, 4189, 2801, 779, 282, 2261, 30, 2932, 334, 30367, 1612, 18, 37725, 35147, 4315, 3032, 860, 44, 3420, 49297, 1831, 45039, 18, 31207, 1908, 475, 4518, 28, 1135, 309, 11336, 17257, 16, 5906, 411, 1129, 898, 30571, 36473, 18, 4199, 3623, 36473, 282, 3556, 15016, 30989, 381, 15340, 32167, 31324, 1409, 8318, 8566, 9402, 19349, 43958, 282, 15325, 1458, 13436, 411, 9588, 478, 983, 1285, 910, 15553, 1754, 685, 42549, 411, 3700, 17528, 44128, 9608, 18, 4017, 18, 365, 11130, 4145, 779, 37167, 994, 4562, 4786, 411, 36473, 16, 18769, 16, 38954, 3199, 16, 29956, 289, 2665, 22644, 11205, 334, 41955, 19349, 42070, 860, 44, 3420, 18, 824, 3761, 14160, 16, 6413, 685, 22157, 8187, 323, 16, 2588, 8641, 30186, 281, 2923, 16, 7346, 26922, 19612, 2855, 282, 14039, 18, 365, 30989, 42416, 16, 374, 21500, 11540, 281, 4629, 14169, 360, 2001, 47195, 820, 18, 2112, 13453, 42178, 1810, 537, 868, 6047, 680, 994, 2209, 3463, 12117, 5854, 12967, 7796, 1552, 2407, 8909, 21106, 401, 9321, 16, 374, 5343, 9416, 8087, 25094, 5836, 282, 47879, 32167, 31324, 860, 44, 3420, 18, 824, 4734, 11896, 2407, 16, 15582, 21112, 680, 17981, 35242, 529, 275, 2131, 21304, 289, 24923, 424, 34713, 454, 978, 1101, 18, 19065, 16, 374, 3695, 4189, 4770, 2665, 7753, 9344, 14900, 1568, 290, 3445, 315, 17, 1599, 12077, 21992, 281, 21700, 4868, 18, 6592, 2856, 3479, 552, 16, 21700, 4304, 26395, 2678, 5848, 1551, 334, 6619, 290, 22157, 304, 282, 2801, 1045, 1195, 12799, 3032, 32962, 11314, 1212, 31324, 16, 6442, 282, 3781, 17, 12495, 14769, 4830, 18, 985, 16170, 282, 1524, 306, 843, 2665, 16, 334, 2856, 39690, 21700, 700, 12486, 478, 635, 4991, 44000, 36972, 3247, 349, 8150, 910, 19176, 6843, 294, 3202, 8608, 860, 44, 3420, 18, 999, 409, 2478, 5129, 16, 31999, 8501, 16, 1747, 15961, 282, 21700, 5706, 16, 27966, 16, 282, 5971, 1225, 263, 18, 26966, 5854, 19267, 2407, 6118, 17, 32743, 7550, 40596, 1235, 523, 9299, 4419, 16, 374, 10933, 22578, 7392, 8187, 448, 29083, 478, 983, 1285, 17, 780, 21, 17, 22, 470, 322, 20240, 414, 12127, 1251, 9609, 289, 23245, 16, 3066, 428, 289, 632, 27923, 1888, 13542, 289, 1440, 18, 478, 4348, 24134, 697, 10839, 334, 4862, 18, 1303, 745, 7187, 689, 13091, 16789, 309, 36282, 282, 14039, 289, 41550, 309, 6551, 16, 1586, 15349, 36282, 18, 1178, 5825, 29657, 2856, 16, 502, 1655, 2145, 2002, 722, 322, 2673, 45882, 910, 510, 2815, 8802, 7847, 779, 4770, 1175, 4137, 6732, 282, 7337, 2689, 2818, 9440, 4276, 35503, 272, 4712, 272, 392, 1492, 2, 1, 87, 1456, 81, 2448, 30, 48165, 4731, 11611, 2015, 510, 28582, 572, 19901, 4772, 17, 11178, 712, 510, 28647, 32266, 2712, 27911, 309, 14309, 45568, 9983, 16, 16144, 9235, 873, 411, 459, 9589, 416, 507, 18, 403, 17946, 1876, 25750, 9872, 5003, 368, 289, 1053, 823, 16, 30403, 282, 18455, 43867, 16, 5825, 290, 2129, 2244, 16, 3483, 4436, 282, 8063, 17, 12064, 848, 2165, 16, 367, 1038, 475, 8364, 20760, 22178, 18, 365, 4731, 11611, 2015, 7788, 1263, 21278, 15701, 6832, 18, 31224, 30, 48165, 4731, 11611, 2015, 16, 9465, 274, 3308, 4772, 17, 1282, 6534, 16, 26160, 36954, 309, 37805, 9983, 40797, 12846, 16, 2486, 32170, 29175, 668, 4371, 18, 1367, 803, 5130, 282, 1263, 263, 4809, 343, 8474, 29056, 289, 30478, 264, 13906, 3480, 16, 26706, 11290, 567, 12241, 282, 1551, 23676, 8747, 459, 9589, 416, 507, 282, 2145, 18, 8474, 4807, 289, 13906, 775, 282, 1263, 263, 34715, 16, 374, 2098, 4375, 40797, 12846, 4731, 11611, 2015, 289, 7938, 16, 334, 697, 3163, 16, 32266, 6406, 475, 27911, 282, 5645, 4357, 27584, 18, 365, 3198, 282, 697, 14309, 45568, 898, 2539, 1007, 27008, 3623, 18, 824, 3163, 9235, 2279, 16, 7938, 26160, 7154, 3645, 282, 5872, 781, 281, 6859, 761, 22150, 18008, 16, 367, 481, 27809, 1568, 2145, 478, 630, 13441, 3352, 16, 3012, 18898, 371, 3599, 21470, 1440, 2630, 861, 478, 684, 823, 2030, 4760, 16, 961, 32170, 4731, 11611, 2015, 329, 6259, 27236, 9983, 16, 13457, 305, 910, 510, 14083, 282, 1263, 263, 13906, 775, 289, 8474, 4807, 18, 1606, 29039, 16, 374, 4731, 11611, 2015, 32266, 2712, 9872, 33410, 14952, 289, 14952, 14951, 22852, 16, 11875, 9983, 289, 1053, 823, 16, 30403, 282, 4772, 17, 1369, 265, 2449, 43867, 16, 11588, 16, 3483, 4490, 282, 8063, 17, 12064, 848, 2165, 16, 289, 5995, 309, 1129, 16, 367, 1038, 475, 8364, 20760, 22178, 18, 11492, 4772, 17, 1282, 6534, 18008, 281, 47406, 8136, 4731, 11611, 2015, 4686, 7312, 1248, 21738, 2241, 16, 367, 971, 3419, 294, 10009, 34871, 16, 16144, 9235, 873, 18, 13906, 775, 289, 8474, 4807, 6696, 26692, 4453, 33158, 10579, 4150, 6876, 349, 2948, 3741, 18581, 360, 5348, 4731, 11611, 2015, 18, 41974, 873, 13731, 16, 753, 1551, 31544, 2241, 10846, 478, 32058, 6037, 668, 5998, 861, 478, 48165, 15123, 16373, 11461, 16, 961, 26899, 4364, 1110, 16, 1085, 10219, 697, 4211, 18, 4663, 4696, 16, 428, 32027, 16, 22328, 26327, 2651, 4371, 411, 27343, 910, 510, 5130, 282, 1263, 263, 294, 4731, 11611, 2015, 18, 8444, 10211, 3110, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 290, 12765, 8137, 781, 16, 309, 41575, 1484, 282, 19267, 41657, 10680, 12807, 7069, 44855, 11738, 12201, 18133, 16, 1692, 7539, 282, 4145, 1045, 282, 46961, 1767, 371, 13148, 15099, 8187, 315, 17, 42868, 6114, 31839, 294, 14611, 277, 478, 19021, 3464, 17, 9989, 861, 42378, 906, 26186, 567, 808, 27008, 2332, 41061, 4669, 2926, 478, 780, 455, 11773, 861, 3529, 18347, 9637, 22457, 43939, 32962, 11314, 718, 13347, 718, 10601, 18, 478, 12105, 3223, 978, 294, 7521, 837, 2994, 39654, 837, 9142, 18702, 473, 283, 1359, 18, 510, 1336, 289, 5287, 22640, 564, 478, 32485, 18, 8381, 11523, 42311, 9867, 37115, 289, 13384, 30, 478, 12775, 613, 318, 16, 1215, 827, 840, 1215, 453, 16, 502, 18702, 473, 272, 32071, 406, 13, 764, 1176, 308, 15754, 11314, 778, 31324, 16, 289, 475, 840, 18702, 473, 38437, 13, 910, 510, 2815, 1176, 411, 6367, 11330, 16, 334, 3761, 7179, 19267, 510, 20203, 10948, 31839, 33056, 22982, 19751, 18, 365, 19267, 2407, 48484, 16, 374, 7190, 22546, 994, 2209, 3463, 1698, 16228, 281, 46916, 298, 14692, 25389, 334, 6619, 16, 289, 9337, 1967, 6702, 478, 404, 9466, 9012, 861, 26244, 938, 2503, 31324, 1409, 8318, 13132, 282, 9516, 1195, 16428, 1137, 1685, 2665, 2123, 4189, 2801, 779, 282, 2261, 30, 2932, 334, 30367, 1612, 18, 37725, 35147, 4315, 3032, 860, 44, 3420, 49297, 1831, 45039, 18, 31207, 1908, 475, 4518, 28, 1135, 309, 11336, 17257, 16, 5906, 411, 1129, 898, 30571, 36473, 18, 4199, 3623, 36473, 282, 3556, 15016, 30989, 381, 15340, 32167, 31324, 1409, 8318, 8566, 9402, 19349, 43958, 282, 15325, 1458, 13436, 411, 9588, 478, 983, 1285, 910, 15553, 1754, 685, 42549, 411, 3700, 17528, 44128, 9608, 18, 4017, 18, 365, 11130, 4145, 779, 37167, 994, 4562, 4786, 411, 36473, 16, 18769, 16, 38954, 3199, 16, 29956, 289, 2665, 22644, 11205, 334, 41955, 19349, 42070, 860, 44, 3420, 18, 824, 3761, 14160, 16, 6413, 685, 22157, 8187, 323, 16, 2588, 8641, 30186, 281, 2923, 16, 7346, 26922, 19612, 2855, 282, 14039, 18, 365, 30989, 42416, 16, 374, 21500, 11540, 281, 4629, 14169, 360, 2001, 47195, 820, 18, 2112, 13453, 42178, 1810, 537, 868, 6047, 680, 994, 2209, 3463, 12117, 5854, 12967, 7796, 1552, 2407, 8909, 21106, 401, 9321, 16, 374, 5343, 9416, 8087, 25094, 5836, 282, 47879, 32167, 31324, 860, 44, 3420, 18, 824, 4734, 11896, 2407, 16, 15582, 21112, 680, 17981, 35242, 529, 275, 2131, 21304, 289, 24923, 424, 34713, 454, 978, 1101, 18, 19065, 16, 374, 3695, 4189, 4770, 2665, 7753, 9344, 14900, 1568, 290, 3445, 315, 17, 1599, 12077, 21992, 281, 21700, 4868, 18, 6592, 2856, 3479, 552, 16, 21700, 4304, 26395, 2678, 5848, 1551, 334, 6619, 290, 22157, 304, 282, 2801, 1045, 1195, 12799, 3032, 32962, 11314, 1212, 31324, 16, 6442, 282, 3781, 17, 12495, 14769, 4830, 18, 985, 16170, 282, 1524, 306, 843, 2665, 16, 334, 2856, 39690, 21700, 700, 12486, 478, 635, 4991, 44000, 36972, 3247, 349, 8150, 910, 19176, 6843, 294, 3202, 8608, 860, 44, 3420, 18, 999, 409, 2478, 5129, 16, 31999, 8501, 16, 1747, 15961, 282, 21700, 5706, 16, 27966, 16, 282, 5971, 1225, 263, 18, 26966, 5854, 19267, 2407, 6118, 17, 32743, 7550, 40596, 1235, 523, 9299, 4419, 16, 374, 10933, 22578, 7392, 8187, 448, 29083, 478, 983, 1285, 17, 780, 21, 17, 22, 470, 322, 20240, 414, 12127, 1251, 9609, 289, 23245, 16, 3066, 428, 289, 632, 27923, 1888, 13542, 289, 1440, 18, 478, 4348, 24134, 697, 10839, 334, 4862, 18, 1303, 745, 7187, 689, 13091, 16789, 309, 36282, 282, 14039, 289, 41550, 309, 6551, 16, 1586, 15349, 36282, 18, 1178, 5825, 29657, 2856, 16, 502, 1655, 2145, 2002, 722, 322, 2673, 45882, 910, 510, 2815, 8802, 7847, 779, 4770, 1175, 4137, 6732, 282, 7337, 2689, 2818, 9440, 4276, 35503, 272, 4712, 272, 392, 1492, 2, 1, 87, 1456, 81, 2448, 30, 48165, 4731, 11611, 2015, 510, 28582, 572, 19901, 4772, 17, 11178, 712, 510, 28647, 32266, 2712, 27911, 309, 14309, 45568, 9983, 16, 16144, 9235, 873, 411, 459, 9589, 416, 507, 18, 403, 17946, 1876, 25750, 9872, 5003, 368, 289, 1053, 823, 16, 30403, 282, 18455, 43867, 16, 5825, 290, 2129, 2244, 16, 3483, 4436, 282, 8063, 17, 12064, 848, 2165, 16, 367, 1038, 475, 8364, 20760, 22178, 18, 365, 4731, 11611, 2015, 7788, 1263, 21278, 15701, 6832, 18, 31224, 30, 48165, 4731, 11611, 2015, 16, 9465, 274, 3308, 4772, 17, 1282, 6534, 16, 26160, 36954, 309, 37805, 9983, 40797, 12846, 16, 2486, 32170, 29175, 668, 4371, 18, 1367, 803, 5130, 282, 1263, 263, 4809, 343, 8474, 29056, 289, 30478, 264, 13906, 3480, 16, 26706, 11290, 567, 12241, 282, 1551, 23676, 8747, 459, 9589, 416, 507, 282, 2145, 18, 8474, 4807, 289, 13906, 775, 282, 1263, 263, 34715, 16, 374, 2098, 4375, 40797, 12846, 4731, 11611, 2015, 289, 7938, 16, 334, 697, 3163, 16, 32266, 6406, 475, 27911, 282, 5645, 4357, 27584, 18, 365, 3198, 282, 697, 14309, 45568, 898, 2539, 1007, 27008, 3623, 18, 824, 3163, 9235, 2279, 16, 7938, 26160, 7154, 3645, 282, 5872, 781, 281, 6859, 761, 22150, 18008, 16, 367, 481, 27809, 1568, 2145, 478, 630, 13441, 3352, 16, 3012, 18898, 371, 3599, 21470, 1440, 2630, 861, 478, 684, 823, 2030, 4760, 16, 961, 32170, 4731, 11611, 2015, 329, 6259, 27236, 9983, 16, 13457, 305, 910, 510, 14083, 282, 1263, 263, 13906, 775, 289, 8474, 4807, 18, 1606, 29039, 16, 374, 4731, 11611, 2015, 32266, 2712, 9872, 33410, 14952, 289, 14952, 14951, 22852, 16, 11875, 9983, 289, 1053, 823, 16, 30403, 282, 4772, 17, 1369, 265, 2449, 43867, 16, 11588, 16, 3483, 4490, 282, 8063, 17, 12064, 848, 2165, 16, 289, 5995, 309, 1129, 16, 367, 1038, 475, 8364, 20760, 22178, 18, 11492, 4772, 17, 1282, 6534, 18008, 281, 47406, 8136, 4731, 11611, 2015, 4686, 7312, 1248, 21738, 2241, 16, 367, 971, 3419, 294, 10009, 34871, 16, 16144, 9235, 873, 18, 13906, 775, 289, 8474, 4807, 6696, 26692, 4453, 33158, 10579, 4150, 6876, 349, 2948, 3741, 18581, 360, 5348, 4731, 11611, 2015, 18, 41974, 873, 13731, 16, 753, 1551, 31544, 2241, 10846, 478, 32058, 6037, 668, 5998, 861, 478, 48165, 15123, 16373, 11461, 16, 961, 26899, 4364, 1110, 16, 1085, 10219, 697, 4211, 18, 4663, 4696, 16, 428, 32027, 16, 22328, 26327, 2651, 4371, 411, 27343, 910, 510, 5130, 282, 1263, 263, 294, 4731, 11611, 2015, 18, 8444, 10211, 3110, 16 ]
[ 374, 32170, 4371, 381, 4772, 17, 1282, 791, 582, 281, 27343, 1512, 16, 961, 18700, 42771, 8136, 16, 367, 23711, 5695, 2678, 12570, 282, 22394, 423, 263, 18, 16273, 36586, 37913, 27383, 334, 4547, 8290, 16, 282, 970, 2875, 10249, 16, 20044, 289, 3254, 5477, 16382, 18, 478, 4348, 6418, 1177, 1263, 18, 817, 21278, 15701, 4797, 289, 25662, 1804, 5473, 15406, 18, 8444, 15069, 8607, 24226, 48838, 282, 12564, 360, 8689, 37976, 910, 510, 2815, 5854, 4731, 11611, 2015, 23261, 2151, 22249, 1496, 18, 385, 838, 11611, 2015, 46340, 9983, 290, 970, 16, 374, 895, 16520, 47237, 5024, 18, 365, 5049, 1045, 8624, 7067, 18820, 4731, 11611, 2015, 13997, 727, 896, 2603, 282, 26750, 22014, 16, 374, 3785, 46340, 1512, 290, 1634, 17343, 289, 322, 5923, 5645, 4314, 4371, 24721, 17540, 18, 403, 3695, 18, 646, 334, 35722, 1612, 282, 9937, 8296, 4731, 11611, 2015, 309, 21767, 1059, 633, 19970, 85, 23205, 309, 1032, 16, 21, 7418, 3131, 17204, 14231, 4843, 9247, 29, 16, 28, 3763, 18, 47062, 2257, 2241, 36896, 5024, 281, 3195, 6272, 16, 30116, 2654, 309, 3614, 16, 289, 281, 3195, 28579, 1613, 271, 296, 4929, 16, 515, 870, 5024, 322, 5645, 7429, 6025, 16, 2548, 45940, 2241, 478, 39170, 1134, 269, 470, 6070, 6470, 43110, 18, 640, 19862, 5814, 4731, 11611, 2015, 1038, 4452, 289, 32170, 5024, 281, 3195, 12592, 12887, 17, 264, 446, 1004, 651, 2948, 4764, 16, 30116, 309, 25713, 16, 2548, 492, 18, 740, 935, 827, 4731, 11611, 2015, 16051, 21490, 17, 1117, 1396, 289, 46641, 2751, 281, 18008, 1631, 16, 502, 749, 3599, 4772, 45198, 8604, 3089, 978, 15829, 322, 9040, 16, 5273, 6070, 6470, 43110, 18, 478, 6039, 16, 374, 942, 11028, 281, 15829, 16, 6557, 2444, 21490, 17, 1117, 298, 4887, 16, 20893, 281, 17278, 665, 16, 8203, 4697, 34871, 353, 18, 889, 322, 47237, 5024, 910, 510, 2548, 44329, 21501, 30023, 33402, 410, 27583, 19457, 10051, 39316, 18, 2876, 1263, 294, 4731, 11611, 2015, 4987, 309, 47835, 17, 333, 1066, 16, 5273, 10051, 39316, 18, 365, 6449, 1750, 2388, 1263, 265, 38777, 16, 453, 428, 15715, 1882, 10526, 282, 24410, 4163, 4772, 17, 296, 46685, 16, 41274, 2712, 6470, 43110, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 412, 320, 742, 478, 45380, 470, 282, 36493, 22979, 17, 21131, 16180, 5538, 439, 1295, 1642, 567, 7422, 28220, 15185, 7561, 21035, 478, 1916, 665, 273, 11425, 861, 13564, 1080, 282, 1335, 9547, 2581, 811, 13205, 39914, 4966, 411, 3918, 273, 22218, 1258, 3190, 3918, 345, 1620, 18, 31224, 30, 677, 11084, 567, 7422, 28220, 7561, 36473, 42262, 478, 45380, 470, 282, 17139, 16180, 5538, 439, 1295, 13694, 478, 1916, 665, 273, 11425, 470, 411, 4579, 277, 804, 18, 1845, 40392, 536, 49338, 496, 978, 32940, 36410, 15014, 18, 1178, 17527, 282, 4579, 277, 804, 21067, 282, 4675, 27849, 935, 541, 9917, 2169, 625, 2752, 420, 848, 853, 16, 502, 309, 36934, 478, 1916, 665, 273, 11425, 470, 322, 4430, 3576, 1360, 22232, 18, 3747, 4722, 10980, 282, 3918, 273, 3852, 4966, 2075, 665, 7603, 669, 9271, 9496, 14497, 21861, 439, 1295, 14643, 18, 365, 7285, 30558, 10021, 750, 439, 1295, 1038, 27322, 49338, 496, 16, 515, 282, 3198, 33513, 25107, 411, 4579, 277, 804, 282, 290, 551, 6189, 482, 18, 18487, 45297, 16816, 877, 2384, 1616, 37076, 576, 502, 21996, 16, 374, 579, 23642, 439, 1295, 2763, 319, 286, 365, 1991, 508, 18037, 14261, 8300, 17799, 2287, 986, 2158, 1717, 282, 478, 1916, 665, 28756, 409, 861, 385, 1110, 1326, 492, 27668, 1293, 3541, 625, 2752, 420, 848, 853, 16, 367, 281, 4479, 779, 8103, 4452, 281, 439, 1295, 18, 6290, 12793, 5790, 329, 4966, 411, 3918, 273, 22218, 18795, 14887, 12094, 839, 3860, 282, 5625, 7225, 289, 8151, 4629, 18, 8615, 344, 281, 478, 1916, 665, 28756, 3032, 470, 5505, 18215, 24900, 1157, 7362, 22598, 507, 446, 289, 37022, 3008, 4033, 20176, 1624, 367, 1038, 5251, 778, 25236, 5990, 24873, 18, 365, 6656, 21622, 309, 676, 45526, 685, 25848, 289, 764, 1176, 5251, 778, 27366, 320, 651, 5815, 4966, 1651, 1145, 8213, 14716, 868, 18, 2681, 492, 16, 428, 289, 48565, 35166, 16, 2039, 1740, 17336, 16, 23009, 1423, 8616, 309, 4577, 18, 27252, 320, 742, 478, 45380, 470, 16480, 282, 8267, 625, 2752, 420, 848, 853, 334, 22010, 478, 24, 17, 24, 17, 22, 861, 3747, 16353, 38659, 282, 2849, 1810, 282, 1175, 289, 2271, 1738, 30, 21112, 873, 651, 26267, 873, 478, 24, 17, 23, 17, 23, 910, 289, 2504, 697, 322, 590, 37054, 341, 18, 18687, 282, 4907, 2662, 439, 1295, 12307, 437, 419, 4811, 6147, 625, 843, 6838, 4579, 20720, 660, 18, 640, 41506, 6688, 27546, 28253, 24935, 8213, 14716, 868, 16, 367, 8095, 451, 47702, 6267, 937, 450, 1395, 273, 2101, 9055, 27790, 18, 37251, 31741, 30556, 19967, 5035, 307, 3584, 842, 289, 1651, 18253, 297, 2878, 18, 365, 16504, 416, 10717, 25509, 22605, 727, 300, 19377, 7474, 289, 18026, 17487, 320, 18, 2861, 879, 47702, 24900, 276, 685, 360, 1204, 309, 360, 24379, 2101, 2274, 1508, 16, 367, 25803, 651, 4239, 6520, 9060, 597, 16, 1244, 1147, 21004, 13328, 718, 1739, 23091, 613, 14118, 18, 19499, 13328, 272, 18, 439, 1243, 4990, 311, 1191, 339, 19967, 27960, 4671, 9192, 289, 38592, 1258, 3190, 3918, 345, 1620, 18, 9300, 12954, 7342, 2145, 16, 334, 2711, 489, 282, 860, 39982, 349, 478, 27296, 17, 15900, 10399, 21604, 32248, 910, 282, 5049, 17, 277, 44483, 282, 16109, 18, 17274, 811, 282, 11254, 289, 11752, 16, 367, 281, 6705, 8900, 26880, 5244, 439, 1295, 18, 4635, 3918, 345, 1620, 289, 6844, 2948, 282, 8267, 281, 478, 1916, 665, 28756, 3032, 470, 309, 2261, 17, 295, 20537, 18, 4852, 1533, 1879, 2101, 2274, 267, 32644, 364, 6441, 18, 365, 5305, 5118, 281, 10940, 1134, 16, 439, 1295, 3118, 14206, 15774, 323, 282, 29510, 9155, 281, 478, 1916, 2688, 426, 3032, 861, 1591, 7422, 44056, 7193, 2970, 34126, 935, 5723, 4524, 3156, 36912, 16, 4726, 4985, 282, 4492, 10980, 282, 7522, 18, 365, 625, 2752, 420, 848, 913, 20665, 687, 8486, 16, 289, 349, 445, 1330, 1763, 29576, 289, 40259, 1378, 42875, 3216, 411, 3918, 273, 22218, 322, 1230, 9496, 18, 981, 289, 475, 1617, 19991, 312, 309, 4837, 634, 890, 36942, 6599, 933, 18575, 1265, 4929, 360, 528, 6041, 768, 578, 1428, 343, 21112 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 374, 32170, 4371, 381, 4772, 17, 1282, 791, 582, 281, 27343, 1512, 16, 961, 18700, 42771, 8136, 16, 367, 23711, 5695, 2678, 12570, 282, 22394, 423, 263, 18, 16273, 36586, 37913, 27383, 334, 4547, 8290, 16, 282, 970, 2875, 10249, 16, 20044, 289, 3254, 5477, 16382, 18, 478, 4348, 6418, 1177, 1263, 18, 817, 21278, 15701, 4797, 289, 25662, 1804, 5473, 15406, 18, 8444, 15069, 8607, 24226, 48838, 282, 12564, 360, 8689, 37976, 910, 510, 2815, 5854, 4731, 11611, 2015, 23261, 2151, 22249, 1496, 18, 385, 838, 11611, 2015, 46340, 9983, 290, 970, 16, 374, 895, 16520, 47237, 5024, 18, 365, 5049, 1045, 8624, 7067, 18820, 4731, 11611, 2015, 13997, 727, 896, 2603, 282, 26750, 22014, 16, 374, 3785, 46340, 1512, 290, 1634, 17343, 289, 322, 5923, 5645, 4314, 4371, 24721, 17540, 18, 403, 3695, 18, 646, 334, 35722, 1612, 282, 9937, 8296, 4731, 11611, 2015, 309, 21767, 1059, 633, 19970, 85, 23205, 309, 1032, 16, 21, 7418, 3131, 17204, 14231, 4843, 9247, 29, 16, 28, 3763, 18, 47062, 2257, 2241, 36896, 5024, 281, 3195, 6272, 16, 30116, 2654, 309, 3614, 16, 289, 281, 3195, 28579, 1613, 271, 296, 4929, 16, 515, 870, 5024, 322, 5645, 7429, 6025, 16, 2548, 45940, 2241, 478, 39170, 1134, 269, 470, 6070, 6470, 43110, 18, 640, 19862, 5814, 4731, 11611, 2015, 1038, 4452, 289, 32170, 5024, 281, 3195, 12592, 12887, 17, 264, 446, 1004, 651, 2948, 4764, 16, 30116, 309, 25713, 16, 2548, 492, 18, 740, 935, 827, 4731, 11611, 2015, 16051, 21490, 17, 1117, 1396, 289, 46641, 2751, 281, 18008, 1631, 16, 502, 749, 3599, 4772, 45198, 8604, 3089, 978, 15829, 322, 9040, 16, 5273, 6070, 6470, 43110, 18, 478, 6039, 16, 374, 942, 11028, 281, 15829, 16, 6557, 2444, 21490, 17, 1117, 298, 4887, 16, 20893, 281, 17278, 665, 16, 8203, 4697, 34871, 353, 18, 889, 322, 47237, 5024, 910, 510, 2548, 44329, 21501, 30023, 33402, 410, 27583, 19457, 10051, 39316, 18, 2876, 1263, 294, 4731, 11611, 2015, 4987, 309, 47835, 17, 333, 1066, 16, 5273, 10051, 39316, 18, 365, 6449, 1750, 2388, 1263, 265, 38777, 16, 453, 428, 15715, 1882, 10526, 282, 24410, 4163, 4772, 17, 296, 46685, 16, 41274, 2712, 6470, 43110, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 412, 320, 742, 478, 45380, 470, 282, 36493, 22979, 17, 21131, 16180, 5538, 439, 1295, 1642, 567, 7422, 28220, 15185, 7561, 21035, 478, 1916, 665, 273, 11425, 861, 13564, 1080, 282, 1335, 9547, 2581, 811, 13205, 39914, 4966, 411, 3918, 273, 22218, 1258, 3190, 3918, 345, 1620, 18, 31224, 30, 677, 11084, 567, 7422, 28220, 7561, 36473, 42262, 478, 45380, 470, 282, 17139, 16180, 5538, 439, 1295, 13694, 478, 1916, 665, 273, 11425, 470, 411, 4579, 277, 804, 18, 1845, 40392, 536, 49338, 496, 978, 32940, 36410, 15014, 18, 1178, 17527, 282, 4579, 277, 804, 21067, 282, 4675, 27849, 935, 541, 9917, 2169, 625, 2752, 420, 848, 853, 16, 502, 309, 36934, 478, 1916, 665, 273, 11425, 470, 322, 4430, 3576, 1360, 22232, 18, 3747, 4722, 10980, 282, 3918, 273, 3852, 4966, 2075, 665, 7603, 669, 9271, 9496, 14497, 21861, 439, 1295, 14643, 18, 365, 7285, 30558, 10021, 750, 439, 1295, 1038, 27322, 49338, 496, 16, 515, 282, 3198, 33513, 25107, 411, 4579, 277, 804, 282, 290, 551, 6189, 482, 18, 18487, 45297, 16816, 877, 2384, 1616, 37076, 576, 502, 21996, 16, 374, 579, 23642, 439, 1295, 2763, 319, 286, 365, 1991, 508, 18037, 14261, 8300, 17799, 2287, 986, 2158, 1717, 282, 478, 1916, 665, 28756, 409, 861, 385, 1110, 1326, 492, 27668, 1293, 3541, 625, 2752, 420, 848, 853, 16, 367, 281, 4479, 779, 8103, 4452, 281, 439, 1295, 18, 6290, 12793, 5790, 329, 4966, 411, 3918, 273, 22218, 18795, 14887, 12094, 839, 3860, 282, 5625, 7225, 289, 8151, 4629, 18, 8615, 344, 281, 478, 1916, 665, 28756, 3032, 470, 5505, 18215, 24900, 1157, 7362, 22598, 507, 446, 289, 37022, 3008, 4033, 20176, 1624, 367, 1038, 5251, 778, 25236, 5990, 24873, 18, 365, 6656, 21622, 309, 676, 45526, 685, 25848, 289, 764, 1176, 5251, 778, 27366, 320, 651, 5815, 4966, 1651, 1145, 8213, 14716, 868, 18, 2681, 492, 16, 428, 289, 48565, 35166, 16, 2039, 1740, 17336, 16, 23009, 1423, 8616, 309, 4577, 18, 27252, 320, 742, 478, 45380, 470, 16480, 282, 8267, 625, 2752, 420, 848, 853, 334, 22010, 478, 24, 17, 24, 17, 22, 861, 3747, 16353, 38659, 282, 2849, 1810, 282, 1175, 289, 2271, 1738, 30, 21112, 873, 651, 26267, 873, 478, 24, 17, 23, 17, 23, 910, 289, 2504, 697, 322, 590, 37054, 341, 18, 18687, 282, 4907, 2662, 439, 1295, 12307, 437, 419, 4811, 6147, 625, 843, 6838, 4579, 20720, 660, 18, 640, 41506, 6688, 27546, 28253, 24935, 8213, 14716, 868, 16, 367, 8095, 451, 47702, 6267, 937, 450, 1395, 273, 2101, 9055, 27790, 18, 37251, 31741, 30556, 19967, 5035, 307, 3584, 842, 289, 1651, 18253, 297, 2878, 18, 365, 16504, 416, 10717, 25509, 22605, 727, 300, 19377, 7474, 289, 18026, 17487, 320, 18, 2861, 879, 47702, 24900, 276, 685, 360, 1204, 309, 360, 24379, 2101, 2274, 1508, 16, 367, 25803, 651, 4239, 6520, 9060, 597, 16, 1244, 1147, 21004, 13328, 718, 1739, 23091, 613, 14118, 18, 19499, 13328, 272, 18, 439, 1243, 4990, 311, 1191, 339, 19967, 27960, 4671, 9192, 289, 38592, 1258, 3190, 3918, 345, 1620, 18, 9300, 12954, 7342, 2145, 16, 334, 2711, 489, 282, 860, 39982, 349, 478, 27296, 17, 15900, 10399, 21604, 32248, 910, 282, 5049, 17, 277, 44483, 282, 16109, 18, 17274, 811, 282, 11254, 289, 11752, 16, 367, 281, 6705, 8900, 26880, 5244, 439, 1295, 18, 4635, 3918, 345, 1620, 289, 6844, 2948, 282, 8267, 281, 478, 1916, 665, 28756, 3032, 470, 309, 2261, 17, 295, 20537, 18, 4852, 1533, 1879, 2101, 2274, 267, 32644, 364, 6441, 18, 365, 5305, 5118, 281, 10940, 1134, 16, 439, 1295, 3118, 14206, 15774, 323, 282, 29510, 9155, 281, 478, 1916, 2688, 426, 3032, 861, 1591, 7422, 44056, 7193, 2970, 34126, 935, 5723, 4524, 3156, 36912, 16, 4726, 4985, 282, 4492, 10980, 282, 7522, 18, 365, 625, 2752, 420, 848, 913, 20665, 687, 8486, 16, 289, 349, 445, 1330, 1763, 29576, 289, 40259, 1378, 42875, 3216, 411, 3918, 273, 22218, 322, 1230, 9496, 18, 981, 289, 475, 1617, 19991, 312, 309, 4837, 634, 890, 36942, 6599, 933, 18575, 1265, 4929, 360, 528, 6041, 768, 578, 1428, 343, 21112 ]
[ 873, 5698, 874, 4726, 322, 7187, 18, 740, 16, 428, 687, 16, 4446, 309, 27182, 17, 295, 20537, 5009, 3467, 13303, 2235, 282, 20545, 16, 3918, 345, 1620, 16, 13721, 275, 8440, 526, 16, 4522, 364, 10579, 17, 273, 418, 18, 11333, 6034, 942, 5298, 309, 7759, 16180, 5538, 1492, 2, 1, 87, 1456, 81, 2448, 30, 8215, 11896, 18924, 47635, 47751, 9783, 7088, 999, 18605, 12985, 281, 36488, 282, 6551, 18, 365, 20957, 582, 510, 4765, 281, 17234, 12360, 323, 33411, 11785, 22495, 16, 367, 1038, 3455, 282, 9964, 334, 17644, 3756, 19205, 272, 18, 999, 18605, 726, 35447, 381, 9461, 5348, 11752, 289, 2145, 282, 8144, 16, 1830, 289, 583, 1782, 1484, 616, 2669, 31439, 282, 12278, 6684, 5348, 282, 8144, 18, 365, 502, 575, 808, 22050, 21980, 34487, 2630, 281, 26150, 16, 1586, 16, 1038, 16, 428, 289, 9807, 16, 13309, 1279, 32416, 478, 33819, 416, 15154, 470, 281, 2145, 18, 31224, 30, 8215, 11896, 18924, 47635, 47751, 9783, 7088, 999, 18605, 510, 2483, 879, 17928, 282, 3507, 18, 365, 4722, 445, 492, 685, 282, 1175, 282, 10841, 16642, 779, 18, 3529, 4077, 685, 9462, 928, 2917, 1791, 8144, 16, 367, 1038, 25514, 15154, 281, 2145, 16, 1586, 3164, 424, 20129, 18, 4922, 5912, 549, 17904, 343, 25809, 289, 1314, 16, 289, 1426, 1963, 15769, 3353, 2869, 7258, 334, 44268, 23534, 41470, 16400, 16, 282, 16207, 8292, 4096, 282, 2114, 5826, 4000, 21860, 22007, 6688, 18, 740, 289, 349, 1177, 5004, 16, 1029, 6382, 281, 8508, 17761, 282, 6551, 16, 6295, 282, 8144, 8249, 13029, 11685, 1011, 924, 16, 428, 21649, 778, 30596, 451, 11341, 685, 22157, 15462, 16145, 18, 17464, 1162, 12483, 3215, 46780, 869, 11642, 3670, 16, 374, 840, 2702, 23721, 27920, 309, 9099, 3193, 18, 2949, 924, 16, 25326, 18924, 18955, 3193, 11752, 282, 13450, 1212, 5347, 33386, 18, 999, 18605, 282, 4301, 11815, 309, 9964, 12672, 12373, 2324, 434, 7586, 478, 49017, 14030, 470, 478, 11825, 309, 31930, 15939, 30, 2117, 309, 1209, 25986, 470, 9299, 16, 374, 10784, 5347, 3854, 2003, 16207, 1519, 43182, 6929, 16, 13025, 20412, 281, 13450, 1703, 19796, 18, 478, 630, 636, 12075, 5768, 3338, 46320, 17767, 334, 5083, 12917, 2145, 282, 9804, 942, 3670, 289, 1513, 6908, 7396, 18806, 869, 3746, 18, 459, 1882, 1223, 481, 2048, 1568, 315, 1248, 13450, 1880, 7064, 18, 1178, 18667, 874, 19359, 2923, 16, 481, 322, 6721, 8940, 3860, 910, 510, 2815, 21649, 778, 36971, 16, 4685, 14711, 16, 374, 22154, 5942, 305, 478, 23943, 3399, 1775, 9868, 225, 25953, 282, 32700, 485, 289, 49508, 7122, 11397, 4466, 861, 5181, 16, 567, 11564, 21732, 282, 1101, 17767, 31439, 289, 583, 1782, 1484, 616, 16, 745, 5138, 530, 360, 505, 8300, 16201, 6763, 510, 16145, 18, 1012, 38672, 309, 9220, 1027, 282, 5306, 309, 1335, 11056, 23433, 21541, 680, 9964, 334, 3623, 7638, 17, 13522, 16145, 504, 522, 2608, 268, 2387, 28168, 3910, 14426, 8494, 294, 7638, 272, 18924, 16, 14709, 274, 13830, 635, 22157, 346, 30596, 837, 30, 478, 25559, 375, 999, 18605, 16, 387, 25226, 481, 35, 1012, 2125, 4897, 18, 889, 6935, 18, 1012, 2890, 39352, 281, 1807, 5187, 25461, 541, 18410, 609, 282, 1782, 21358, 404, 30, 322, 5672, 4236, 48726, 16145, 861, 2387, 28168, 3910, 2815, 290, 16115, 6622, 3193, 1279, 18924, 16, 367, 322, 687, 20853, 4000, 309, 31930, 15939, 18, 478, 4348, 3984, 8714, 16, 827, 481, 2003, 16, 322, 687, 1279, 20853, 18924, 16, 515, 289, 1279, 2887, 18924, 910, 510, 1109, 14647, 778, 7638, 18, 17464, 1162, 28169, 343, 9466, 25326, 282, 48456, 16, 4725, 282, 11526, 845, 7705, 541, 478, 32485, 18, 48754, 470, 12189, 7586, 478, 49017, 14030, 910, 21649, 778, 45890, 768, 1134, 280, 10637, 11288, 9153, 30, 478, 16415, 2683, 549, 15089, 22695, 1782, 21358, 324, 1038, 15155, 281, 3956, 9946, 2012, 24386, 282, 8144, 16, 1029, 895, 10230, 17464, 510, 3465, 883, 32700, 509, 18791, 18924, 861, 11288, 9153, 5301, 16, 374, 21649, 1133, 6569, 25156, 16, 374, 478, 6014, 13031, 726, 30834, 294, 7446, 1360, 16523, 16, 3300, 1754, 510, 30025, 22050, 35195, 5508, 837, 282, 9804, 16, 11564, 1752, 282, 13450, 778, 9350, 289, 2349, 49947, 23318, 2553, 35428, 12681, 10645, 861, 5343, 575, 16, 282, 1423, 3678, 16, 12113, 10718, 3361, 428, 281, 7596, 36514, 16, 453, 289, 281, 45914, 16, 21980, 21581, 23144, 1333, 282, 9804, 18, 450, 13654, 481, 4362, 475, 16859, 16, 453, 428, 16, 4813, 1543, 502, 374, 30352, 44923, 48007, 38773, 6053, 16, 8768, 9280, 17624, 23494, 1453, 10068, 18, 365, 3198, 10687, 281, 4412, 3994, 9805, 18351, 9810, 7399, 3899, 1624, 367, 309, 17032, 5343, 36413, 16619, 43734, 1135, 282, 8144, 16, 1639, 5792, 6881, 19157, 22132, 7583, 8312, 2241, 18, 365, 502, 575, 808, 16775, 5792, 34715, 290, 970, 16, 374, 282, 3198, 2866, 871, 15462, 2145, 29140, 1293, 15455, 11854, 961, 16, 42327, 309, 5939, 13450, 933, 1333, 282, 30010, 547, 3106, 16, 374, 282, 19862, 11896, 263, 15684, 15792, 22333, 2206, 18, 22568, 2917, 453, 24941, 478, 33819, 416, 15154, 470, 2145, 289, 18924, 16, 2588, 3424, 15769, 18582, 26319, 289, 999, 18605, 16, 4362, 1038, 475, 1033, 25630, 272, 6036, 18, 7249, 309, 502, 374, 4770, 2145, 36176, 28565, 322, 1559, 9650, 990, 722, 16, 492, 25960, 31279, 272, 5848, 722, 47040, 10300, 281, 5173, 19519, 282, 1710, 3531, 9047, 18, 14654, 16, 3229, 1223, 16, 3419, 290, 9212, 21649, 933, 37328, 23535, 8187, 16, 2588, 5037, 23127, 1642, 1038, 7220, 2048, 6906, 15154, 18, 403, 39424, 8468, 25514, 15154, 2145, 6696, 14033, 289, 722, 13269, 6367, 510, 22381, 16, 8579, 1433, 289, 25453, 18, 48371, 2891, 726, 37386, 4110, 7794, 15757, 3463, 16, 1586, 2879, 50072, 15361, 334, 2856, 11135, 18, 1303, 870, 3193, 31134, 43245, 282, 5781, 11065, 30000, 20099, 7920, 16934, 334, 22647, 9942, 17397, 24262, 7960, 4419, 282, 10936, 541, 5781, 5792, 8566, 722, 478, 3032, 27299, 4480, 2206, 16, 1586, 7006, 520, 840, 24800, 3219, 8608, 4096, 2917, 25514, 4696, 1782, 21358, 324, 861, 478, 48048, 924, 16, 15045, 13840, 27480, 670, 7794, 10844, 26830, 895, 23379, 25371, 309, 15230, 726, 5575, 18285, 35664, 334, 32858, 35458, 11357, 48915, 7404, 22623, 5348, 473, 563, 677, 672, 822, 814, 459, 3872, 8040, 12310, 7834, 304, 1623, 502, 16, 374, 22154, 7556, 19656, 305, 16, 827, 322, 2023, 2245, 3123 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 873, 5698, 874, 4726, 322, 7187, 18, 740, 16, 428, 687, 16, 4446, 309, 27182, 17, 295, 20537, 5009, 3467, 13303, 2235, 282, 20545, 16, 3918, 345, 1620, 16, 13721, 275, 8440, 526, 16, 4522, 364, 10579, 17, 273, 418, 18, 11333, 6034, 942, 5298, 309, 7759, 16180, 5538, 1492, 2, 1, 87, 1456, 81, 2448, 30, 8215, 11896, 18924, 47635, 47751, 9783, 7088, 999, 18605, 12985, 281, 36488, 282, 6551, 18, 365, 20957, 582, 510, 4765, 281, 17234, 12360, 323, 33411, 11785, 22495, 16, 367, 1038, 3455, 282, 9964, 334, 17644, 3756, 19205, 272, 18, 999, 18605, 726, 35447, 381, 9461, 5348, 11752, 289, 2145, 282, 8144, 16, 1830, 289, 583, 1782, 1484, 616, 2669, 31439, 282, 12278, 6684, 5348, 282, 8144, 18, 365, 502, 575, 808, 22050, 21980, 34487, 2630, 281, 26150, 16, 1586, 16, 1038, 16, 428, 289, 9807, 16, 13309, 1279, 32416, 478, 33819, 416, 15154, 470, 281, 2145, 18, 31224, 30, 8215, 11896, 18924, 47635, 47751, 9783, 7088, 999, 18605, 510, 2483, 879, 17928, 282, 3507, 18, 365, 4722, 445, 492, 685, 282, 1175, 282, 10841, 16642, 779, 18, 3529, 4077, 685, 9462, 928, 2917, 1791, 8144, 16, 367, 1038, 25514, 15154, 281, 2145, 16, 1586, 3164, 424, 20129, 18, 4922, 5912, 549, 17904, 343, 25809, 289, 1314, 16, 289, 1426, 1963, 15769, 3353, 2869, 7258, 334, 44268, 23534, 41470, 16400, 16, 282, 16207, 8292, 4096, 282, 2114, 5826, 4000, 21860, 22007, 6688, 18, 740, 289, 349, 1177, 5004, 16, 1029, 6382, 281, 8508, 17761, 282, 6551, 16, 6295, 282, 8144, 8249, 13029, 11685, 1011, 924, 16, 428, 21649, 778, 30596, 451, 11341, 685, 22157, 15462, 16145, 18, 17464, 1162, 12483, 3215, 46780, 869, 11642, 3670, 16, 374, 840, 2702, 23721, 27920, 309, 9099, 3193, 18, 2949, 924, 16, 25326, 18924, 18955, 3193, 11752, 282, 13450, 1212, 5347, 33386, 18, 999, 18605, 282, 4301, 11815, 309, 9964, 12672, 12373, 2324, 434, 7586, 478, 49017, 14030, 470, 478, 11825, 309, 31930, 15939, 30, 2117, 309, 1209, 25986, 470, 9299, 16, 374, 10784, 5347, 3854, 2003, 16207, 1519, 43182, 6929, 16, 13025, 20412, 281, 13450, 1703, 19796, 18, 478, 630, 636, 12075, 5768, 3338, 46320, 17767, 334, 5083, 12917, 2145, 282, 9804, 942, 3670, 289, 1513, 6908, 7396, 18806, 869, 3746, 18, 459, 1882, 1223, 481, 2048, 1568, 315, 1248, 13450, 1880, 7064, 18, 1178, 18667, 874, 19359, 2923, 16, 481, 322, 6721, 8940, 3860, 910, 510, 2815, 21649, 778, 36971, 16, 4685, 14711, 16, 374, 22154, 5942, 305, 478, 23943, 3399, 1775, 9868, 225, 25953, 282, 32700, 485, 289, 49508, 7122, 11397, 4466, 861, 5181, 16, 567, 11564, 21732, 282, 1101, 17767, 31439, 289, 583, 1782, 1484, 616, 16, 745, 5138, 530, 360, 505, 8300, 16201, 6763, 510, 16145, 18, 1012, 38672, 309, 9220, 1027, 282, 5306, 309, 1335, 11056, 23433, 21541, 680, 9964, 334, 3623, 7638, 17, 13522, 16145, 504, 522, 2608, 268, 2387, 28168, 3910, 14426, 8494, 294, 7638, 272, 18924, 16, 14709, 274, 13830, 635, 22157, 346, 30596, 837, 30, 478, 25559, 375, 999, 18605, 16, 387, 25226, 481, 35, 1012, 2125, 4897, 18, 889, 6935, 18, 1012, 2890, 39352, 281, 1807, 5187, 25461, 541, 18410, 609, 282, 1782, 21358, 404, 30, 322, 5672, 4236, 48726, 16145, 861, 2387, 28168, 3910, 2815, 290, 16115, 6622, 3193, 1279, 18924, 16, 367, 322, 687, 20853, 4000, 309, 31930, 15939, 18, 478, 4348, 3984, 8714, 16, 827, 481, 2003, 16, 322, 687, 1279, 20853, 18924, 16, 515, 289, 1279, 2887, 18924, 910, 510, 1109, 14647, 778, 7638, 18, 17464, 1162, 28169, 343, 9466, 25326, 282, 48456, 16, 4725, 282, 11526, 845, 7705, 541, 478, 32485, 18, 48754, 470, 12189, 7586, 478, 49017, 14030, 910, 21649, 778, 45890, 768, 1134, 280, 10637, 11288, 9153, 30, 478, 16415, 2683, 549, 15089, 22695, 1782, 21358, 324, 1038, 15155, 281, 3956, 9946, 2012, 24386, 282, 8144, 16, 1029, 895, 10230, 17464, 510, 3465, 883, 32700, 509, 18791, 18924, 861, 11288, 9153, 5301, 16, 374, 21649, 1133, 6569, 25156, 16, 374, 478, 6014, 13031, 726, 30834, 294, 7446, 1360, 16523, 16, 3300, 1754, 510, 30025, 22050, 35195, 5508, 837, 282, 9804, 16, 11564, 1752, 282, 13450, 778, 9350, 289, 2349, 49947, 23318, 2553, 35428, 12681, 10645, 861, 5343, 575, 16, 282, 1423, 3678, 16, 12113, 10718, 3361, 428, 281, 7596, 36514, 16, 453, 289, 281, 45914, 16, 21980, 21581, 23144, 1333, 282, 9804, 18, 450, 13654, 481, 4362, 475, 16859, 16, 453, 428, 16, 4813, 1543, 502, 374, 30352, 44923, 48007, 38773, 6053, 16, 8768, 9280, 17624, 23494, 1453, 10068, 18, 365, 3198, 10687, 281, 4412, 3994, 9805, 18351, 9810, 7399, 3899, 1624, 367, 309, 17032, 5343, 36413, 16619, 43734, 1135, 282, 8144, 16, 1639, 5792, 6881, 19157, 22132, 7583, 8312, 2241, 18, 365, 502, 575, 808, 16775, 5792, 34715, 290, 970, 16, 374, 282, 3198, 2866, 871, 15462, 2145, 29140, 1293, 15455, 11854, 961, 16, 42327, 309, 5939, 13450, 933, 1333, 282, 30010, 547, 3106, 16, 374, 282, 19862, 11896, 263, 15684, 15792, 22333, 2206, 18, 22568, 2917, 453, 24941, 478, 33819, 416, 15154, 470, 2145, 289, 18924, 16, 2588, 3424, 15769, 18582, 26319, 289, 999, 18605, 16, 4362, 1038, 475, 1033, 25630, 272, 6036, 18, 7249, 309, 502, 374, 4770, 2145, 36176, 28565, 322, 1559, 9650, 990, 722, 16, 492, 25960, 31279, 272, 5848, 722, 47040, 10300, 281, 5173, 19519, 282, 1710, 3531, 9047, 18, 14654, 16, 3229, 1223, 16, 3419, 290, 9212, 21649, 933, 37328, 23535, 8187, 16, 2588, 5037, 23127, 1642, 1038, 7220, 2048, 6906, 15154, 18, 403, 39424, 8468, 25514, 15154, 2145, 6696, 14033, 289, 722, 13269, 6367, 510, 22381, 16, 8579, 1433, 289, 25453, 18, 48371, 2891, 726, 37386, 4110, 7794, 15757, 3463, 16, 1586, 2879, 50072, 15361, 334, 2856, 11135, 18, 1303, 870, 3193, 31134, 43245, 282, 5781, 11065, 30000, 20099, 7920, 16934, 334, 22647, 9942, 17397, 24262, 7960, 4419, 282, 10936, 541, 5781, 5792, 8566, 722, 478, 3032, 27299, 4480, 2206, 16, 1586, 7006, 520, 840, 24800, 3219, 8608, 4096, 2917, 25514, 4696, 1782, 21358, 324, 861, 478, 48048, 924, 16, 15045, 13840, 27480, 670, 7794, 10844, 26830, 895, 23379, 25371, 309, 15230, 726, 5575, 18285, 35664, 334, 32858, 35458, 11357, 48915, 7404, 22623, 5348, 473, 563, 677, 672, 822, 814, 459, 3872, 8040, 12310, 7834, 304, 1623, 502, 16, 374, 22154, 7556, 19656, 305, 16, 827, 322, 2023, 2245, 3123 ]
[ 1211, 16, 1423, 13696, 309, 16685, 269, 478, 265, 616, 680, 15154, 470, 309, 13269, 39020, 910, 510, 4725, 24262, 7960, 18, 22050, 4419, 2815, 16, 374, 322, 9733, 12631, 2644, 3518, 5084, 11418, 16, 367, 4770, 2553, 33879, 363, 5675, 6399, 307, 2815, 16, 374, 840, 15707, 12735, 519, 478, 25882, 1672, 22783, 861, 1787, 4830, 17, 298, 1311, 1347, 36273, 510, 1176, 411, 10235, 42178, 4770, 624, 16, 453, 428, 49716, 15901, 13951, 281, 18924, 26285, 975, 16121, 607, 541, 21263, 7234, 2553, 18, 999, 18605, 685, 3348, 411, 22912, 6367, 11738, 334, 25514, 1692, 582, 281, 21649, 680, 1963, 289, 28748, 965, 428, 47074, 36971, 16, 25749, 505, 14703, 411, 1888, 2044, 18, 7249, 309, 7814, 49642, 7080, 281, 2145, 16, 999, 18605, 2564, 6125, 17721, 9556, 5331, 3361, 281, 18813, 2450, 476, 513, 2145, 282, 6937, 17917, 343, 32870, 50035, 31232, 18, 365, 3709, 411, 7337, 31232, 935, 8566, 21649, 718, 7276, 877, 478, 452, 285, 2306, 4590, 9946, 5912, 15224, 289, 7816, 8988, 861, 20012, 23883, 6937, 4830, 32870, 309, 21649, 1212, 6942, 16, 5906, 11673, 14971, 6881, 16, 374, 3361, 2145, 289, 18924, 3005, 373, 5471, 20009, 16, 827, 373, 294, 2891, 6712, 768, 15044, 312, 37701, 18, 385, 12984, 16078, 3258, 481, 4385, 16, 453, 428, 5906, 7032, 505, 4966, 41522, 22050, 428, 7441, 16, 16558, 539, 27952, 2145, 309, 31930, 15939, 18, 2, 1, 87, 1456, 81, 2448, 30, 1916, 305, 17, 1198, 273, 2151, 356, 831, 49392, 5568, 478, 15383, 9055, 913, 470, 23063, 36728, 8955, 282, 21673, 18, 640, 7256, 445, 424, 10911, 34265, 531, 3041, 7757, 478, 49256, 30433, 861, 6499, 300, 356, 873, 1271, 925, 4985, 5229, 3610, 986, 15513, 26039, 6992, 718, 478, 8706, 455, 470, 334, 20919, 2566, 9410, 282, 12013, 18, 25021, 292, 282, 8267, 281, 478, 49256, 30433, 470, 1559, 541, 20455, 17, 844, 4752, 1385, 2261, 17, 277, 31554, 554, 18, 31224, 30, 471, 39227, 324, 470, 16536, 1154, 478, 49256, 30433, 470, 282, 42889, 28220, 38474, 7561, 18, 6499, 300, 356, 873, 21165, 7926, 925, 8999, 26039, 6992, 718, 7586, 16, 6177, 16, 475, 1421, 4570, 481, 3404, 2151, 356, 388, 49392, 1624, 18447, 1510, 309, 4698, 39061, 282, 12968, 35395, 34042, 21723, 18, 26828, 40900, 1617, 26070, 25883, 11178, 476, 2381, 21854, 14452, 478, 1605, 436, 4920, 303, 470, 289, 478, 677, 696, 6252, 298, 300, 861, 478, 39227, 324, 470, 282, 3405, 28220, 21723, 1642, 48981, 281, 26039, 6992, 1703, 478, 49256, 30433, 861, 478, 21664, 7837, 320, 397, 470, 282, 6499, 576, 750, 16, 428, 289, 475, 3187, 3589, 16, 322, 10441, 16, 2686, 322, 453, 3525, 428, 478, 44563, 861, 5043, 16, 478, 44563, 470, 19411, 530, 289, 2419, 478, 429, 1282, 267, 448, 861, 2046, 282, 8814, 933, 5792, 10133, 309, 478, 21805, 293, 740, 272, 470, 7174, 709, 1717, 428, 2678, 478, 49256, 30433, 470, 4366, 48008, 334, 11147, 2734, 18393, 3124, 294, 478, 15383, 409, 861, 740, 374, 773, 1177, 478, 44563, 910, 785, 329, 11753, 1791, 7696, 18, 18098, 574, 4183, 282, 3182, 26345, 669, 16180, 5538, 282, 25881, 11258, 13309, 1139, 12534, 18, 1598, 16180, 5538, 7193, 49033, 16, 282, 12013, 3419, 1844, 2297, 1020, 643, 6589, 10580, 18, 8859, 16, 939, 453, 1844, 18, 19823, 520, 21166, 3328, 3874, 582, 6258, 390, 507, 28848, 30380, 9553, 39077, 282, 16109, 334, 8872, 8900, 18, 439, 1696, 481, 27939, 16, 374, 26039, 6992, 873, 44611, 289, 2041, 1711, 262, 439, 877, 34334, 16, 289, 45829, 9300, 9596, 18, 5043, 16, 14517, 7242, 4368, 5199, 4966, 16, 8802, 5826, 16, 3147, 7260, 16, 47433, 3216, 18, 8276, 282, 970, 1750, 16, 827, 478, 49256, 405, 470, 322, 9553, 8969, 1756, 282, 21673, 18, 439, 28648, 289, 1574, 25800, 18, 2876, 282, 5002, 9055, 4681, 478, 49256, 30433, 470, 20979, 322, 349, 867, 16, 753, 13581, 478, 8706, 1918, 470, 1624, 367, 541, 924, 16, 753, 1830, 373, 428, 17, 299, 16104, 345, 6149, 282, 4837, 25467, 289, 46153, 2159, 20665, 539, 5510, 18, 2681, 1215, 478, 15383, 507, 470, 537, 17132, 13437, 16, 537, 282, 837, 319, 282, 3860, 7646, 322, 15837, 18, 385, 5606, 575, 1879, 31107, 5486, 15774, 323, 16, 10911, 356, 873, 22060, 12800, 319, 3860, 981, 12999, 4342, 45519, 264, 289, 505, 21365, 2381, 18, 14681, 17, 299, 808, 478, 49256, 30433, 470, 25871, 16, 2686, 971, 24928, 731, 2235, 2151, 356, 831, 49392, 289, 11106, 3918, 546, 507, 309, 5625, 36725, 21755, 2921, 857, 282, 30678, 19668, 30556, 478, 10202, 7837, 320, 397, 910, 1795, 743, 49392, 6863, 309, 5335, 668, 10839, 18, 1665, 367, 827, 26250, 9095, 36532, 411, 36874, 4096, 16, 581, 764, 289, 322, 35974, 16, 37253, 322, 1524, 1086, 18, 640, 40195, 45798, 4466, 49392, 13721, 271, 8440, 526, 18, 22295, 10827, 274, 1624, 726, 3147, 3919, 16807, 1779, 10122, 4466, 478, 39227, 318, 910, 11509, 5932, 40524, 1520, 613, 41932, 3012, 2607, 18, 5181, 16, 11216, 33140, 8850, 28253, 478, 49256, 30433, 910, 411, 17, 431, 1660, 26250, 3711, 25645, 4038, 3835, 883, 309, 505, 33375, 18, 2046, 481, 1472, 309, 7366, 2352, 331, 25658, 10566, 18, 49392, 10271, 5077, 4342, 45519, 264, 16, 13721, 275, 8440, 526, 18, 608, 7646, 334, 17, 6093, 1329, 322, 19846, 16, 367, 15014, 16, 1763, 743, 10490, 16, 1293, 281, 807, 4207, 36912, 18, 365, 34979, 546, 2697, 10714, 434, 29959, 324, 28858, 554, 38331, 7646, 45227, 309, 9300, 9596, 16, 2686, 1542, 590, 35609, 16616, 322, 11642, 18, 999, 1992, 10133, 329, 7889, 17514, 14901, 476, 507, 26039, 6992, 873, 16590, 16, 953, 895, 16, 4038, 13729, 408, 25592, 16, 2686, 309, 774, 12886, 870, 10390, 6074, 322, 1669, 3306, 18, 1665, 367, 478, 15383, 507, 470, 1139, 282, 2159, 9720, 519, 7470, 1909, 10927, 16, 27232, 1754, 726, 322, 32970, 15251, 18, 1681, 6398, 37358, 478, 24398, 272, 844, 324, 470, 3225, 41701, 764, 1176, 11216, 18, 2871, 2610, 505, 3424, 1559, 49392, 18, 26250, 583, 2780, 774, 27953, 14264, 1066, 16, 30529, 282, 24828, 40072, 10827, 306, 18, 6234, 37103, 16, 2686, 7452, 5229, 309, 12807, 266, 4342, 45519, 264, 33140, 11216, 16, 1029, 1055, 3287, 6736, 5625, 7889, 18, 740, 1373, 428, 1373, 4167, 49392, 16, 1974, 281, 42594, 10657, 12276, 343, 5229, 282, 42808, 18, 478, 39227, 324, 470, 16536, 1154 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1211, 16, 1423, 13696, 309, 16685, 269, 478, 265, 616, 680, 15154, 470, 309, 13269, 39020, 910, 510, 4725, 24262, 7960, 18, 22050, 4419, 2815, 16, 374, 322, 9733, 12631, 2644, 3518, 5084, 11418, 16, 367, 4770, 2553, 33879, 363, 5675, 6399, 307, 2815, 16, 374, 840, 15707, 12735, 519, 478, 25882, 1672, 22783, 861, 1787, 4830, 17, 298, 1311, 1347, 36273, 510, 1176, 411, 10235, 42178, 4770, 624, 16, 453, 428, 49716, 15901, 13951, 281, 18924, 26285, 975, 16121, 607, 541, 21263, 7234, 2553, 18, 999, 18605, 685, 3348, 411, 22912, 6367, 11738, 334, 25514, 1692, 582, 281, 21649, 680, 1963, 289, 28748, 965, 428, 47074, 36971, 16, 25749, 505, 14703, 411, 1888, 2044, 18, 7249, 309, 7814, 49642, 7080, 281, 2145, 16, 999, 18605, 2564, 6125, 17721, 9556, 5331, 3361, 281, 18813, 2450, 476, 513, 2145, 282, 6937, 17917, 343, 32870, 50035, 31232, 18, 365, 3709, 411, 7337, 31232, 935, 8566, 21649, 718, 7276, 877, 478, 452, 285, 2306, 4590, 9946, 5912, 15224, 289, 7816, 8988, 861, 20012, 23883, 6937, 4830, 32870, 309, 21649, 1212, 6942, 16, 5906, 11673, 14971, 6881, 16, 374, 3361, 2145, 289, 18924, 3005, 373, 5471, 20009, 16, 827, 373, 294, 2891, 6712, 768, 15044, 312, 37701, 18, 385, 12984, 16078, 3258, 481, 4385, 16, 453, 428, 5906, 7032, 505, 4966, 41522, 22050, 428, 7441, 16, 16558, 539, 27952, 2145, 309, 31930, 15939, 18, 2, 1, 87, 1456, 81, 2448, 30, 1916, 305, 17, 1198, 273, 2151, 356, 831, 49392, 5568, 478, 15383, 9055, 913, 470, 23063, 36728, 8955, 282, 21673, 18, 640, 7256, 445, 424, 10911, 34265, 531, 3041, 7757, 478, 49256, 30433, 861, 6499, 300, 356, 873, 1271, 925, 4985, 5229, 3610, 986, 15513, 26039, 6992, 718, 478, 8706, 455, 470, 334, 20919, 2566, 9410, 282, 12013, 18, 25021, 292, 282, 8267, 281, 478, 49256, 30433, 470, 1559, 541, 20455, 17, 844, 4752, 1385, 2261, 17, 277, 31554, 554, 18, 31224, 30, 471, 39227, 324, 470, 16536, 1154, 478, 49256, 30433, 470, 282, 42889, 28220, 38474, 7561, 18, 6499, 300, 356, 873, 21165, 7926, 925, 8999, 26039, 6992, 718, 7586, 16, 6177, 16, 475, 1421, 4570, 481, 3404, 2151, 356, 388, 49392, 1624, 18447, 1510, 309, 4698, 39061, 282, 12968, 35395, 34042, 21723, 18, 26828, 40900, 1617, 26070, 25883, 11178, 476, 2381, 21854, 14452, 478, 1605, 436, 4920, 303, 470, 289, 478, 677, 696, 6252, 298, 300, 861, 478, 39227, 324, 470, 282, 3405, 28220, 21723, 1642, 48981, 281, 26039, 6992, 1703, 478, 49256, 30433, 861, 478, 21664, 7837, 320, 397, 470, 282, 6499, 576, 750, 16, 428, 289, 475, 3187, 3589, 16, 322, 10441, 16, 2686, 322, 453, 3525, 428, 478, 44563, 861, 5043, 16, 478, 44563, 470, 19411, 530, 289, 2419, 478, 429, 1282, 267, 448, 861, 2046, 282, 8814, 933, 5792, 10133, 309, 478, 21805, 293, 740, 272, 470, 7174, 709, 1717, 428, 2678, 478, 49256, 30433, 470, 4366, 48008, 334, 11147, 2734, 18393, 3124, 294, 478, 15383, 409, 861, 740, 374, 773, 1177, 478, 44563, 910, 785, 329, 11753, 1791, 7696, 18, 18098, 574, 4183, 282, 3182, 26345, 669, 16180, 5538, 282, 25881, 11258, 13309, 1139, 12534, 18, 1598, 16180, 5538, 7193, 49033, 16, 282, 12013, 3419, 1844, 2297, 1020, 643, 6589, 10580, 18, 8859, 16, 939, 453, 1844, 18, 19823, 520, 21166, 3328, 3874, 582, 6258, 390, 507, 28848, 30380, 9553, 39077, 282, 16109, 334, 8872, 8900, 18, 439, 1696, 481, 27939, 16, 374, 26039, 6992, 873, 44611, 289, 2041, 1711, 262, 439, 877, 34334, 16, 289, 45829, 9300, 9596, 18, 5043, 16, 14517, 7242, 4368, 5199, 4966, 16, 8802, 5826, 16, 3147, 7260, 16, 47433, 3216, 18, 8276, 282, 970, 1750, 16, 827, 478, 49256, 405, 470, 322, 9553, 8969, 1756, 282, 21673, 18, 439, 28648, 289, 1574, 25800, 18, 2876, 282, 5002, 9055, 4681, 478, 49256, 30433, 470, 20979, 322, 349, 867, 16, 753, 13581, 478, 8706, 1918, 470, 1624, 367, 541, 924, 16, 753, 1830, 373, 428, 17, 299, 16104, 345, 6149, 282, 4837, 25467, 289, 46153, 2159, 20665, 539, 5510, 18, 2681, 1215, 478, 15383, 507, 470, 537, 17132, 13437, 16, 537, 282, 837, 319, 282, 3860, 7646, 322, 15837, 18, 385, 5606, 575, 1879, 31107, 5486, 15774, 323, 16, 10911, 356, 873, 22060, 12800, 319, 3860, 981, 12999, 4342, 45519, 264, 289, 505, 21365, 2381, 18, 14681, 17, 299, 808, 478, 49256, 30433, 470, 25871, 16, 2686, 971, 24928, 731, 2235, 2151, 356, 831, 49392, 289, 11106, 3918, 546, 507, 309, 5625, 36725, 21755, 2921, 857, 282, 30678, 19668, 30556, 478, 10202, 7837, 320, 397, 910, 1795, 743, 49392, 6863, 309, 5335, 668, 10839, 18, 1665, 367, 827, 26250, 9095, 36532, 411, 36874, 4096, 16, 581, 764, 289, 322, 35974, 16, 37253, 322, 1524, 1086, 18, 640, 40195, 45798, 4466, 49392, 13721, 271, 8440, 526, 18, 22295, 10827, 274, 1624, 726, 3147, 3919, 16807, 1779, 10122, 4466, 478, 39227, 318, 910, 11509, 5932, 40524, 1520, 613, 41932, 3012, 2607, 18, 5181, 16, 11216, 33140, 8850, 28253, 478, 49256, 30433, 910, 411, 17, 431, 1660, 26250, 3711, 25645, 4038, 3835, 883, 309, 505, 33375, 18, 2046, 481, 1472, 309, 7366, 2352, 331, 25658, 10566, 18, 49392, 10271, 5077, 4342, 45519, 264, 16, 13721, 275, 8440, 526, 18, 608, 7646, 334, 17, 6093, 1329, 322, 19846, 16, 367, 15014, 16, 1763, 743, 10490, 16, 1293, 281, 807, 4207, 36912, 18, 365, 34979, 546, 2697, 10714, 434, 29959, 324, 28858, 554, 38331, 7646, 45227, 309, 9300, 9596, 16, 2686, 1542, 590, 35609, 16616, 322, 11642, 18, 999, 1992, 10133, 329, 7889, 17514, 14901, 476, 507, 26039, 6992, 873, 16590, 16, 953, 895, 16, 4038, 13729, 408, 25592, 16, 2686, 309, 774, 12886, 870, 10390, 6074, 322, 1669, 3306, 18, 1665, 367, 478, 15383, 507, 470, 1139, 282, 2159, 9720, 519, 7470, 1909, 10927, 16, 27232, 1754, 726, 322, 32970, 15251, 18, 1681, 6398, 37358, 478, 24398, 272, 844, 324, 470, 3225, 41701, 764, 1176, 11216, 18, 2871, 2610, 505, 3424, 1559, 49392, 18, 26250, 583, 2780, 774, 27953, 14264, 1066, 16, 30529, 282, 24828, 40072, 10827, 306, 18, 6234, 37103, 16, 2686, 7452, 5229, 309, 12807, 266, 4342, 45519, 264, 33140, 11216, 16, 1029, 1055, 3287, 6736, 5625, 7889, 18, 740, 1373, 428, 1373, 4167, 49392, 16, 1974, 281, 42594, 10657, 12276, 343, 5229, 282, 42808, 18, 478, 39227, 324, 470, 16536, 1154 ]
[ 1642, 478, 49256, 30433, 910, 14217, 6016, 2159, 49564, 282, 21673, 18, 1665, 367, 478, 10202, 7837, 320, 397, 470, 529, 20552, 17634, 289, 15649, 14823, 3427, 14555, 411, 12142, 18, 5890, 282, 11084, 478, 49256, 30433, 470, 282, 26083, 895, 11927, 478, 37460, 27313, 470, 289, 16, 374, 2619, 7260, 16, 478, 44563, 1860, 11691, 347, 280, 861, 1665, 367, 478, 15383, 507, 470, 478, 24651, 305, 470, 478, 8706, 1918, 470, 726, 4705, 12994, 16, 289, 753, 322, 360, 11209, 36316, 16, 478, 26232, 3328, 470, 2003, 282, 11084, 309, 478, 23739, 9944, 361, 28338, 636, 272, 470, 1684, 10654, 874, 428, 445, 1439, 328, 2127, 8616, 18, 1598, 1888, 16287, 9671, 276, 2003, 17665, 5233, 3675, 8955, 478, 13945, 482, 950, 470, 1195, 478, 1605, 436, 4920, 10667, 861, 6499, 300, 356, 1275, 282, 10264, 808, 16, 8084, 16, 8232, 38187, 17325, 18, 42258, 12525, 282, 10841, 322, 3207, 322, 1777, 506, 309, 9547, 20455, 17, 44606, 16, 289, 1215, 764, 5548, 2412, 1779, 18326, 1756, 478, 1605, 436, 4920, 303, 470, 1961, 7470, 1211, 25883, 11178, 49676, 7561, 5043, 16, 1011, 11526, 845, 537, 19090, 281, 478, 8706, 5325, 470, 289, 9764, 1195, 478, 630, 507, 1508, 416, 910, 367, 1038, 9764, 1195, 478, 1605, 436, 4920, 10667, 470, 9524, 478, 13945, 482, 950, 470, 322, 8471, 4116, 19147, 13402, 18, 26828, 25469, 1642, 25883, 11178, 49676, 478, 12145, 1736, 464, 470, 478, 677, 696, 6252, 298, 300, 470, 473, 20, 30, 21, 814, 478, 630, 507, 1508, 324, 470, 1011, 9764, 1195, 478, 8706, 5325, 470, 1642, 2685, 2373, 977, 1472, 537, 19090, 281, 478, 46410, 350, 761, 470, 473, 21, 30, 21, 934, 478, 1916, 871, 2800, 470, 16536, 364, 478, 822, 1994, 6286, 418, 470, 473, 24, 30, 21, 934, 367, 478, 49256, 931, 470, 30682, 27691, 4690, 516, 8955, 9410, 289, 4223, 726, 309, 13150, 4367, 1756, 282, 26083, 18, 7100, 478, 46169, 361, 507, 470, 289, 478, 22392, 2976, 470, 25897, 12408, 473, 21, 30, 21, 814, 11333, 7036, 21723, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 11254, 18, 2, 1, 87, 1456, 81, 2448, 30, 44495, 6054, 44951, 6211, 1066, 1188, 9258, 2854, 583, 2952, 304, 18, 36899, 12840, 4734, 7597, 4751, 28396, 2986, 1472, 4443, 4135, 16, 3176, 2003, 541, 5291, 626, 542, 39888, 354, 16, 367, 11404, 510, 334, 12821, 13840, 11738, 16, 15871, 2394, 1909, 35281, 42021, 309, 6211, 1066, 18, 49723, 468, 5347, 375, 309, 40195, 30, 26184, 274, 475, 3531, 5693, 16, 7597, 9988, 281, 12713, 16, 24549, 10033, 3368, 2257, 2891, 18, 31224, 30, 44495, 2394, 1909, 24393, 19760, 11440, 309, 6211, 1066, 289, 38563, 17126, 722, 309, 12731, 22439, 309, 10666, 583, 7972, 18034, 6365, 7597, 18, 18206, 282, 40315, 1576, 2773, 428, 9258, 3308, 334, 5155, 5881, 825, 309, 5734, 2083, 541, 5347, 375, 11135, 16, 4442, 954, 15861, 478, 35856, 761, 470, 510, 38550, 14325, 1624, 602, 3127, 983, 289, 24754, 510, 22839, 5096, 7307, 541, 16936, 13613, 360, 12565, 346, 12142, 18, 4922, 575, 4765, 2879, 15927, 6287, 7544, 272, 44816, 49857, 16, 21622, 309, 4082, 329, 15204, 38502, 16, 282, 3198, 2024, 840, 4806, 507, 315, 3417, 5096, 7307, 35128, 16178, 18, 10334, 38835, 14447, 309, 49472, 2644, 16, 19540, 2891, 7622, 16538, 44130, 4135, 289, 4806, 507, 564, 2095, 35128, 16178, 16, 5301, 10027, 38341, 477, 7755, 309, 3437, 15788, 14886, 16, 1131, 11228, 282, 25909, 18, 403, 2856, 18519, 289, 8099, 6365, 5306, 16404, 1034, 464, 1832, 286, 16, 30543, 1188, 6296, 12230, 2553, 282, 11946, 18, 17829, 5768, 282, 970, 16, 374, 13613, 7622, 16538, 44130, 22839, 5096, 7307, 16328, 289, 7638, 17, 13522, 46823, 16968, 13997, 17, 684, 3704, 1614, 3054, 320, 1624, 1029, 8022, 341, 583, 2952, 282, 10666, 18, 21507, 13613, 2003, 3604, 519, 1939, 3990, 16, 753, 4417, 2678, 36089, 2418, 16, 25, 5096, 7307, 334, 28356, 7715, 289, 322, 15893, 4183, 282, 3182, 7307, 7904, 39888, 354, 18, 365, 4542, 43338, 9964, 16, 46505, 4176, 954, 13613, 16, 19516, 7597, 5860, 6985, 289, 2393, 16, 1033, 34387, 8369, 18, 365, 4810, 16, 21124, 3961, 309, 1272, 16423, 30, 309, 583, 7972, 7622, 2869, 1472, 4806, 507, 564, 12565, 334, 15067, 4304, 16, 367, 1247, 290, 4442, 763, 4135, 31372, 18, 3428, 575, 21374, 26485, 2555, 5096, 7307, 16, 367, 11404, 510, 334, 12821, 13840, 11738, 18, 21700, 700, 289, 13474, 4879, 5860, 887, 349, 502, 16, 753, 22482, 28747, 49834, 309, 34194, 16, 785, 282, 13613, 18222, 12760, 1133, 11031, 18, 12614, 23064, 12988, 1154, 373, 24560, 43460, 289, 45792, 282, 13613, 16, 1279, 2024, 1215, 726, 1293, 2868, 23054, 5183, 1663, 548, 309, 16043, 5347, 375, 18, 740, 1949, 38970, 413, 4367, 44130, 3599, 35710, 289, 8921, 434, 40520, 17525, 6296, 7245, 2044, 7597, 16, 374, 31490, 6841, 22006, 2150, 8165, 289, 11065, 37314, 18, 602, 3127, 983, 16, 3455, 2024, 282, 7544, 263, 49857, 639, 28131, 4806, 507, 542, 12565, 2483, 758, 16755, 8943, 16, 2815, 16, 374, 15279, 7544, 990, 28356, 553, 309, 3531, 16, 515, 322, 2259, 5009, 4138, 4982, 16178, 16, 5301, 38341, 477, 7755, 309, 13269, 14886, 18, 608, 602, 3127, 983, 6535, 3368, 2257, 28356, 553, 309, 3610, 5096, 7307, 18, 38835, 2027, 3391, 475, 49472, 10552, 38836, 5693, 30, 12760, 33362, 3010, 24562, 14600, 309, 12356, 816, 4691, 3763, 7307, 16, 282, 11946, 28396, 318, 31733, 505, 478, 35856, 582, 910, 1038, 21854, 10035, 17344, 27875, 8501, 290, 16115, 26387, 46845, 28396, 2535, 15442, 1844, 6099, 360, 19899, 10035, 2891, 1011, 34194, 933, 10144, 18, 7758, 13613, 4128, 21398, 11608, 309, 816, 5096, 7307, 18, 14011, 478, 35856, 382, 470, 510, 21398, 1087, 19317, 297, 5347, 375, 294, 25831, 1045, 477, 24095, 9, 519, 13435, 9, 17850, 18, 740, 2891, 13613, 9095, 3670, 16, 374, 697, 26094, 309, 40195, 18, 21552, 6365, 13613, 20737, 310, 397, 35493, 25038, 397, 26003, 49756, 309, 25850, 2891, 349, 502, 16, 374, 745, 3857, 23817, 3531, 289, 3531, 2644, 36582, 3599, 18, 478, 45066, 6569, 322, 6696, 4641, 6211, 1066, 282, 46509, 913, 16, 510, 2815, 492, 18, 510, 4794, 1749, 16004, 281, 12713, 861, 2, 1, 87, 1456, 81, 2448, 30, 35671, 4104, 32813, 14084, 8308, 6436 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1642, 478, 49256, 30433, 910, 14217, 6016, 2159, 49564, 282, 21673, 18, 1665, 367, 478, 10202, 7837, 320, 397, 470, 529, 20552, 17634, 289, 15649, 14823, 3427, 14555, 411, 12142, 18, 5890, 282, 11084, 478, 49256, 30433, 470, 282, 26083, 895, 11927, 478, 37460, 27313, 470, 289, 16, 374, 2619, 7260, 16, 478, 44563, 1860, 11691, 347, 280, 861, 1665, 367, 478, 15383, 507, 470, 478, 24651, 305, 470, 478, 8706, 1918, 470, 726, 4705, 12994, 16, 289, 753, 322, 360, 11209, 36316, 16, 478, 26232, 3328, 470, 2003, 282, 11084, 309, 478, 23739, 9944, 361, 28338, 636, 272, 470, 1684, 10654, 874, 428, 445, 1439, 328, 2127, 8616, 18, 1598, 1888, 16287, 9671, 276, 2003, 17665, 5233, 3675, 8955, 478, 13945, 482, 950, 470, 1195, 478, 1605, 436, 4920, 10667, 861, 6499, 300, 356, 1275, 282, 10264, 808, 16, 8084, 16, 8232, 38187, 17325, 18, 42258, 12525, 282, 10841, 322, 3207, 322, 1777, 506, 309, 9547, 20455, 17, 44606, 16, 289, 1215, 764, 5548, 2412, 1779, 18326, 1756, 478, 1605, 436, 4920, 303, 470, 1961, 7470, 1211, 25883, 11178, 49676, 7561, 5043, 16, 1011, 11526, 845, 537, 19090, 281, 478, 8706, 5325, 470, 289, 9764, 1195, 478, 630, 507, 1508, 416, 910, 367, 1038, 9764, 1195, 478, 1605, 436, 4920, 10667, 470, 9524, 478, 13945, 482, 950, 470, 322, 8471, 4116, 19147, 13402, 18, 26828, 25469, 1642, 25883, 11178, 49676, 478, 12145, 1736, 464, 470, 478, 677, 696, 6252, 298, 300, 470, 473, 20, 30, 21, 814, 478, 630, 507, 1508, 324, 470, 1011, 9764, 1195, 478, 8706, 5325, 470, 1642, 2685, 2373, 977, 1472, 537, 19090, 281, 478, 46410, 350, 761, 470, 473, 21, 30, 21, 934, 478, 1916, 871, 2800, 470, 16536, 364, 478, 822, 1994, 6286, 418, 470, 473, 24, 30, 21, 934, 367, 478, 49256, 931, 470, 30682, 27691, 4690, 516, 8955, 9410, 289, 4223, 726, 309, 13150, 4367, 1756, 282, 26083, 18, 7100, 478, 46169, 361, 507, 470, 289, 478, 22392, 2976, 470, 25897, 12408, 473, 21, 30, 21, 814, 11333, 7036, 21723, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 7561, 11254, 18, 2, 1, 87, 1456, 81, 2448, 30, 44495, 6054, 44951, 6211, 1066, 1188, 9258, 2854, 583, 2952, 304, 18, 36899, 12840, 4734, 7597, 4751, 28396, 2986, 1472, 4443, 4135, 16, 3176, 2003, 541, 5291, 626, 542, 39888, 354, 16, 367, 11404, 510, 334, 12821, 13840, 11738, 16, 15871, 2394, 1909, 35281, 42021, 309, 6211, 1066, 18, 49723, 468, 5347, 375, 309, 40195, 30, 26184, 274, 475, 3531, 5693, 16, 7597, 9988, 281, 12713, 16, 24549, 10033, 3368, 2257, 2891, 18, 31224, 30, 44495, 2394, 1909, 24393, 19760, 11440, 309, 6211, 1066, 289, 38563, 17126, 722, 309, 12731, 22439, 309, 10666, 583, 7972, 18034, 6365, 7597, 18, 18206, 282, 40315, 1576, 2773, 428, 9258, 3308, 334, 5155, 5881, 825, 309, 5734, 2083, 541, 5347, 375, 11135, 16, 4442, 954, 15861, 478, 35856, 761, 470, 510, 38550, 14325, 1624, 602, 3127, 983, 289, 24754, 510, 22839, 5096, 7307, 541, 16936, 13613, 360, 12565, 346, 12142, 18, 4922, 575, 4765, 2879, 15927, 6287, 7544, 272, 44816, 49857, 16, 21622, 309, 4082, 329, 15204, 38502, 16, 282, 3198, 2024, 840, 4806, 507, 315, 3417, 5096, 7307, 35128, 16178, 18, 10334, 38835, 14447, 309, 49472, 2644, 16, 19540, 2891, 7622, 16538, 44130, 4135, 289, 4806, 507, 564, 2095, 35128, 16178, 16, 5301, 10027, 38341, 477, 7755, 309, 3437, 15788, 14886, 16, 1131, 11228, 282, 25909, 18, 403, 2856, 18519, 289, 8099, 6365, 5306, 16404, 1034, 464, 1832, 286, 16, 30543, 1188, 6296, 12230, 2553, 282, 11946, 18, 17829, 5768, 282, 970, 16, 374, 13613, 7622, 16538, 44130, 22839, 5096, 7307, 16328, 289, 7638, 17, 13522, 46823, 16968, 13997, 17, 684, 3704, 1614, 3054, 320, 1624, 1029, 8022, 341, 583, 2952, 282, 10666, 18, 21507, 13613, 2003, 3604, 519, 1939, 3990, 16, 753, 4417, 2678, 36089, 2418, 16, 25, 5096, 7307, 334, 28356, 7715, 289, 322, 15893, 4183, 282, 3182, 7307, 7904, 39888, 354, 18, 365, 4542, 43338, 9964, 16, 46505, 4176, 954, 13613, 16, 19516, 7597, 5860, 6985, 289, 2393, 16, 1033, 34387, 8369, 18, 365, 4810, 16, 21124, 3961, 309, 1272, 16423, 30, 309, 583, 7972, 7622, 2869, 1472, 4806, 507, 564, 12565, 334, 15067, 4304, 16, 367, 1247, 290, 4442, 763, 4135, 31372, 18, 3428, 575, 21374, 26485, 2555, 5096, 7307, 16, 367, 11404, 510, 334, 12821, 13840, 11738, 18, 21700, 700, 289, 13474, 4879, 5860, 887, 349, 502, 16, 753, 22482, 28747, 49834, 309, 34194, 16, 785, 282, 13613, 18222, 12760, 1133, 11031, 18, 12614, 23064, 12988, 1154, 373, 24560, 43460, 289, 45792, 282, 13613, 16, 1279, 2024, 1215, 726, 1293, 2868, 23054, 5183, 1663, 548, 309, 16043, 5347, 375, 18, 740, 1949, 38970, 413, 4367, 44130, 3599, 35710, 289, 8921, 434, 40520, 17525, 6296, 7245, 2044, 7597, 16, 374, 31490, 6841, 22006, 2150, 8165, 289, 11065, 37314, 18, 602, 3127, 983, 16, 3455, 2024, 282, 7544, 263, 49857, 639, 28131, 4806, 507, 542, 12565, 2483, 758, 16755, 8943, 16, 2815, 16, 374, 15279, 7544, 990, 28356, 553, 309, 3531, 16, 515, 322, 2259, 5009, 4138, 4982, 16178, 16, 5301, 38341, 477, 7755, 309, 13269, 14886, 18, 608, 602, 3127, 983, 6535, 3368, 2257, 28356, 553, 309, 3610, 5096, 7307, 18, 38835, 2027, 3391, 475, 49472, 10552, 38836, 5693, 30, 12760, 33362, 3010, 24562, 14600, 309, 12356, 816, 4691, 3763, 7307, 16, 282, 11946, 28396, 318, 31733, 505, 478, 35856, 582, 910, 1038, 21854, 10035, 17344, 27875, 8501, 290, 16115, 26387, 46845, 28396, 2535, 15442, 1844, 6099, 360, 19899, 10035, 2891, 1011, 34194, 933, 10144, 18, 7758, 13613, 4128, 21398, 11608, 309, 816, 5096, 7307, 18, 14011, 478, 35856, 382, 470, 510, 21398, 1087, 19317, 297, 5347, 375, 294, 25831, 1045, 477, 24095, 9, 519, 13435, 9, 17850, 18, 740, 2891, 13613, 9095, 3670, 16, 374, 697, 26094, 309, 40195, 18, 21552, 6365, 13613, 20737, 310, 397, 35493, 25038, 397, 26003, 49756, 309, 25850, 2891, 349, 502, 16, 374, 745, 3857, 23817, 3531, 289, 3531, 2644, 36582, 3599, 18, 478, 45066, 6569, 322, 6696, 4641, 6211, 1066, 282, 46509, 913, 16, 510, 2815, 492, 18, 510, 4794, 1749, 16004, 281, 12713, 861, 2, 1, 87, 1456, 81, 2448, 30, 35671, 4104, 32813, 14084, 8308, 6436 ]
[ 22813, 18, 45235, 742, 282, 3178, 10504, 986, 25512, 6457, 668, 9324, 39722, 16, 367, 519, 978, 5931, 282, 6789, 35478, 464, 14943, 20828, 3854, 18, 14427, 6144, 2696, 27265, 320, 7777, 309, 8011, 7446, 40536, 356, 432, 10266, 48163, 9206, 510, 48958, 11169, 16, 36082, 289, 8547, 294, 4027, 552, 2422, 334, 15749, 16, 367, 1038, 30852, 477, 35832, 416, 4989, 2840, 411, 17, 431, 19750, 18, 31224, 30, 8215, 20286, 5119, 32196, 17, 47044, 434, 38806, 473, 16945, 6436, 22813, 13, 4210, 4104, 32813, 14084, 28402, 18, 15066, 33331, 18856, 281, 19354, 19906, 478, 275, 2630, 281, 4193, 304, 309, 6555, 2768, 470, 7638, 17, 13522, 1175, 6370, 16640, 14900, 1488, 3597, 16, 8977, 3781, 17, 9952, 5439, 18, 4104, 32813, 25512, 8308, 6436, 22813, 281, 3990, 7520, 779, 16, 519, 978, 282, 3178, 6566, 986, 26471, 6789, 312, 28279, 14943, 20828, 3854, 1624, 2412, 2822, 17260, 9362, 6365, 289, 9541, 17, 293, 30557, 18, 365, 10798, 443, 39894, 6206, 492, 15344, 23267, 9539, 24862, 6457, 434, 3594, 473, 1009, 25405, 13, 4830, 18505, 45168, 18, 13141, 4963, 18930, 1140, 282, 10798, 443, 39068, 6206, 685, 4137, 6732, 16, 2412, 1815, 1314, 3059, 4830, 1175, 18, 365, 8497, 17, 263, 4104, 32813, 25512, 15029, 5482, 15901, 21012, 371, 21989, 289, 13382, 282, 16571, 12402, 4696, 2320, 287, 15528, 28487, 18, 11101, 282, 8308, 6436, 2260, 288, 4642, 11661, 3554, 4104, 32813, 18, 478, 14180, 840, 16, 322, 2447, 2023, 30, 1003, 3352, 16, 2419, 282, 7717, 4912, 7606, 3559, 910, 510, 4601, 1788, 492, 18, 8308, 6436, 22813, 510, 27265, 320, 14412, 37599, 282, 23071, 39722, 18, 14187, 304, 662, 30312, 349, 4735, 4838, 27526, 4076, 473, 275, 970, 2875, 309, 12890, 478, 6115, 598, 1700, 910, 478, 1295, 6766, 1919, 910, 478, 2997, 925, 456, 910, 5003, 1700, 6271, 411, 4076, 10059, 934, 4076, 1844, 47044, 432, 24297, 16, 282, 970, 2875, 39166, 434, 11131, 16, 23061, 14951, 22852, 289, 23061, 40606, 19887, 22852, 16, 367, 1038, 37887, 2768, 32196, 17, 47044, 416, 15363, 16, 21194, 8204, 451, 6457, 289, 30312, 349, 17036, 7288, 755, 933, 7257, 18, 12167, 12117, 43422, 6236, 11413, 25487, 1390, 34666, 4479, 779, 18, 3529, 8308, 6436, 22813, 33100, 709, 290, 8664, 2431, 14412, 17963, 371, 4735, 4543, 4076, 15046, 10059, 309, 491, 16, 6427, 5096, 2791, 473, 23, 16, 8979, 18314, 360, 4442, 2198, 18942, 18, 365, 4018, 1045, 28402, 3337, 6833, 1087, 8665, 673, 382, 16, 23092, 14951, 22852, 473, 560, 806, 2626, 8739, 309, 816, 16, 25, 5096, 2791, 934, 24552, 32207, 6871, 11997, 2499, 3363, 473, 16076, 1443, 309, 5953, 16, 28, 3763, 2791, 411, 1033, 430, 5096, 2791, 934, 309, 8380, 5375, 19267, 9577, 962, 478, 20659, 3629, 470, 8308, 6436, 22813, 6089, 8739, 309, 1033, 25898, 3763, 2791, 16, 282, 3569, 38686, 49345, 8739, 371, 10634, 13531, 27, 16, 23, 3763, 2791, 4076, 21542, 5055, 309, 8156, 4889, 18, 6729, 2110, 4982, 26279, 8308, 6436, 22813, 282, 4018, 1045, 11103, 364, 294, 7446, 23277, 1961, 8012, 478, 1295, 6766, 1919, 11593, 11617, 4076, 16, 10835, 1378, 281, 45047, 16, 6245, 7102, 1488, 5096, 2791, 18, 1268, 12217, 4104, 32813, 13132, 309, 8011, 7446, 40536, 356, 432, 10266, 48163, 9206, 16, 24552, 1639, 10074, 282, 4301, 1403, 1769, 17, 2247, 434, 40471, 18, 5351, 23906, 309, 16129, 294, 3227, 8521, 30168, 309, 9220, 1027, 11056, 583, 277, 1306, 49024, 1602, 17, 34123, 262, 11624, 13104, 12318, 11993, 6245, 2385, 1286, 5737, 5096, 2791, 18, 8454, 871, 9870, 334, 13148, 294, 4027, 552, 2422, 334, 15749, 282, 11826, 1045, 4896, 1286, 15620, 5096, 2791, 16, 281, 11840, 323, 17714, 519, 430, 16, 8799, 34278, 2791, 18, 20513, 548, 309, 16620, 29149, 282, 13822, 18869, 802, 294, 430, 16, 24, 34278, 2791, 18, 2790, 9129, 4191, 382, 294, 31330, 33811, 7134, 282, 11366, 4018, 779, 16, 785, 282, 4542, 2713, 2585, 4177, 2768, 8308, 6436, 21100, 45955, 8014, 414, 282, 34893, 22941, 18, 824, 4734, 12797, 2632, 16, 28402, 11771, 15571, 15343, 49609, 42588, 349, 8739, 7143, 434, 289, 8204, 434, 12670, 18, 385, 5021, 334, 4479, 1205, 36537, 334, 14283, 464, 46724, 36701, 1033, 828, 282, 13908, 4570, 16, 519, 816, 3902, 16, 26, 5096, 2791, 16, 367, 36537, 281, 34554, 1757, 23424, 1263, 1161, 28017, 282, 1421, 779, 510, 1033, 828, 282, 3703, 4570, 16, 519, 2287, 5096, 2791, 18, 2667, 978, 5037, 35832, 416, 16040, 4210, 9963, 513, 5101, 2815, 16, 374, 505, 28402, 289, 8308, 6436, 22813, 567, 10246, 33177, 4364, 22141, 18, 439, 41945, 2715, 309, 481, 23579, 15333, 9181, 17964, 289, 13923, 7904, 20454, 8390, 18, 10388, 12101, 6457, 541, 5439, 840, 19302, 35832, 549, 39635, 16, 16356, 510, 3197, 24483, 34455, 2607, 662, 289, 8308, 6436, 22813, 18, 21552, 6365, 11303, 37880, 4083, 1655, 31482, 19567, 29475, 16174, 8308, 6436, 21100, 25094, 329, 11413, 37948, 17967, 11967, 309, 6367, 7143, 434, 8165, 289, 18519, 25728, 22141, 6144, 2794, 27265, 2477, 18, 478, 3096, 10796, 878, 6125, 6138, 8390, 349, 3799, 1330, 6226, 27526, 4076, 18, 3397, 2184, 10008, 35832, 549, 39635, 16, 367, 656, 25684, 16, 374, 2003, 9193, 6457, 349, 3799, 1330, 309, 5066, 10235, 47710, 1643, 27526, 4076, 16, 367, 1038, 8671, 8308, 6436, 2260, 288, 4520, 910, 510, 1109, 37880, 4083, 18, 19726, 520, 9402, 40483, 2458, 33530, 477, 35832, 416, 4989, 2840, 1624, 2548, 12189, 7288, 37174, 2241, 18, 5315, 478, 563, 1349, 549, 39635, 537, 371, 828, 16, 1548, 374, 481, 4901, 10823, 4831, 16, 35677, 282, 5118, 281, 26988, 680, 31481, 2206, 2103, 4687, 23368, 20454, 8390, 18, 8308, 6436, 22813, 510, 6144, 2696, 4831, 39722, 281, 2702, 27681, 31683, 323, 3416, 910, 510, 9299, 9216, 14820, 1230, 29595, 11942, 42979, 715, 22471, 17, 71, 4545, 3565, 657, 6096, 15888, 1492, 2, 1, 87, 1456, 81, 2448, 30, 730, 4654, 8270, 783, 895, 11011, 16495, 14774, 22170, 478, 28833, 648, 6397, 470, 281, 1760, 3612, 3734, 779, 18, 3782, 1386, 2572, 16, 1029, 1314, 12715, 21261, 30872, 1640, 16, 2916, 303, 1646, 1230, 5094, 5934, 553, 4843, 21, 16, 25, 3763, 18, 1598, 5781, 12991, 1698, 5582, 1291, 282, 5344, 5007, 448, 4967, 21969, 16, 33416, 2508, 19092, 2241, 30, 773, 4128, 12062, 10125, 294, 28985, 1888, 7462, 4764, 289, 47765, 2764, 349, 16903, 478, 28833, 648, 43048, 470, 1248, 1551, 18, 439, 36367 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22813, 18, 45235, 742, 282, 3178, 10504, 986, 25512, 6457, 668, 9324, 39722, 16, 367, 519, 978, 5931, 282, 6789, 35478, 464, 14943, 20828, 3854, 18, 14427, 6144, 2696, 27265, 320, 7777, 309, 8011, 7446, 40536, 356, 432, 10266, 48163, 9206, 510, 48958, 11169, 16, 36082, 289, 8547, 294, 4027, 552, 2422, 334, 15749, 16, 367, 1038, 30852, 477, 35832, 416, 4989, 2840, 411, 17, 431, 19750, 18, 31224, 30, 8215, 20286, 5119, 32196, 17, 47044, 434, 38806, 473, 16945, 6436, 22813, 13, 4210, 4104, 32813, 14084, 28402, 18, 15066, 33331, 18856, 281, 19354, 19906, 478, 275, 2630, 281, 4193, 304, 309, 6555, 2768, 470, 7638, 17, 13522, 1175, 6370, 16640, 14900, 1488, 3597, 16, 8977, 3781, 17, 9952, 5439, 18, 4104, 32813, 25512, 8308, 6436, 22813, 281, 3990, 7520, 779, 16, 519, 978, 282, 3178, 6566, 986, 26471, 6789, 312, 28279, 14943, 20828, 3854, 1624, 2412, 2822, 17260, 9362, 6365, 289, 9541, 17, 293, 30557, 18, 365, 10798, 443, 39894, 6206, 492, 15344, 23267, 9539, 24862, 6457, 434, 3594, 473, 1009, 25405, 13, 4830, 18505, 45168, 18, 13141, 4963, 18930, 1140, 282, 10798, 443, 39068, 6206, 685, 4137, 6732, 16, 2412, 1815, 1314, 3059, 4830, 1175, 18, 365, 8497, 17, 263, 4104, 32813, 25512, 15029, 5482, 15901, 21012, 371, 21989, 289, 13382, 282, 16571, 12402, 4696, 2320, 287, 15528, 28487, 18, 11101, 282, 8308, 6436, 2260, 288, 4642, 11661, 3554, 4104, 32813, 18, 478, 14180, 840, 16, 322, 2447, 2023, 30, 1003, 3352, 16, 2419, 282, 7717, 4912, 7606, 3559, 910, 510, 4601, 1788, 492, 18, 8308, 6436, 22813, 510, 27265, 320, 14412, 37599, 282, 23071, 39722, 18, 14187, 304, 662, 30312, 349, 4735, 4838, 27526, 4076, 473, 275, 970, 2875, 309, 12890, 478, 6115, 598, 1700, 910, 478, 1295, 6766, 1919, 910, 478, 2997, 925, 456, 910, 5003, 1700, 6271, 411, 4076, 10059, 934, 4076, 1844, 47044, 432, 24297, 16, 282, 970, 2875, 39166, 434, 11131, 16, 23061, 14951, 22852, 289, 23061, 40606, 19887, 22852, 16, 367, 1038, 37887, 2768, 32196, 17, 47044, 416, 15363, 16, 21194, 8204, 451, 6457, 289, 30312, 349, 17036, 7288, 755, 933, 7257, 18, 12167, 12117, 43422, 6236, 11413, 25487, 1390, 34666, 4479, 779, 18, 3529, 8308, 6436, 22813, 33100, 709, 290, 8664, 2431, 14412, 17963, 371, 4735, 4543, 4076, 15046, 10059, 309, 491, 16, 6427, 5096, 2791, 473, 23, 16, 8979, 18314, 360, 4442, 2198, 18942, 18, 365, 4018, 1045, 28402, 3337, 6833, 1087, 8665, 673, 382, 16, 23092, 14951, 22852, 473, 560, 806, 2626, 8739, 309, 816, 16, 25, 5096, 2791, 934, 24552, 32207, 6871, 11997, 2499, 3363, 473, 16076, 1443, 309, 5953, 16, 28, 3763, 2791, 411, 1033, 430, 5096, 2791, 934, 309, 8380, 5375, 19267, 9577, 962, 478, 20659, 3629, 470, 8308, 6436, 22813, 6089, 8739, 309, 1033, 25898, 3763, 2791, 16, 282, 3569, 38686, 49345, 8739, 371, 10634, 13531, 27, 16, 23, 3763, 2791, 4076, 21542, 5055, 309, 8156, 4889, 18, 6729, 2110, 4982, 26279, 8308, 6436, 22813, 282, 4018, 1045, 11103, 364, 294, 7446, 23277, 1961, 8012, 478, 1295, 6766, 1919, 11593, 11617, 4076, 16, 10835, 1378, 281, 45047, 16, 6245, 7102, 1488, 5096, 2791, 18, 1268, 12217, 4104, 32813, 13132, 309, 8011, 7446, 40536, 356, 432, 10266, 48163, 9206, 16, 24552, 1639, 10074, 282, 4301, 1403, 1769, 17, 2247, 434, 40471, 18, 5351, 23906, 309, 16129, 294, 3227, 8521, 30168, 309, 9220, 1027, 11056, 583, 277, 1306, 49024, 1602, 17, 34123, 262, 11624, 13104, 12318, 11993, 6245, 2385, 1286, 5737, 5096, 2791, 18, 8454, 871, 9870, 334, 13148, 294, 4027, 552, 2422, 334, 15749, 282, 11826, 1045, 4896, 1286, 15620, 5096, 2791, 16, 281, 11840, 323, 17714, 519, 430, 16, 8799, 34278, 2791, 18, 20513, 548, 309, 16620, 29149, 282, 13822, 18869, 802, 294, 430, 16, 24, 34278, 2791, 18, 2790, 9129, 4191, 382, 294, 31330, 33811, 7134, 282, 11366, 4018, 779, 16, 785, 282, 4542, 2713, 2585, 4177, 2768, 8308, 6436, 21100, 45955, 8014, 414, 282, 34893, 22941, 18, 824, 4734, 12797, 2632, 16, 28402, 11771, 15571, 15343, 49609, 42588, 349, 8739, 7143, 434, 289, 8204, 434, 12670, 18, 385, 5021, 334, 4479, 1205, 36537, 334, 14283, 464, 46724, 36701, 1033, 828, 282, 13908, 4570, 16, 519, 816, 3902, 16, 26, 5096, 2791, 16, 367, 36537, 281, 34554, 1757, 23424, 1263, 1161, 28017, 282, 1421, 779, 510, 1033, 828, 282, 3703, 4570, 16, 519, 2287, 5096, 2791, 18, 2667, 978, 5037, 35832, 416, 16040, 4210, 9963, 513, 5101, 2815, 16, 374, 505, 28402, 289, 8308, 6436, 22813, 567, 10246, 33177, 4364, 22141, 18, 439, 41945, 2715, 309, 481, 23579, 15333, 9181, 17964, 289, 13923, 7904, 20454, 8390, 18, 10388, 12101, 6457, 541, 5439, 840, 19302, 35832, 549, 39635, 16, 16356, 510, 3197, 24483, 34455, 2607, 662, 289, 8308, 6436, 22813, 18, 21552, 6365, 11303, 37880, 4083, 1655, 31482, 19567, 29475, 16174, 8308, 6436, 21100, 25094, 329, 11413, 37948, 17967, 11967, 309, 6367, 7143, 434, 8165, 289, 18519, 25728, 22141, 6144, 2794, 27265, 2477, 18, 478, 3096, 10796, 878, 6125, 6138, 8390, 349, 3799, 1330, 6226, 27526, 4076, 18, 3397, 2184, 10008, 35832, 549, 39635, 16, 367, 656, 25684, 16, 374, 2003, 9193, 6457, 349, 3799, 1330, 309, 5066, 10235, 47710, 1643, 27526, 4076, 16, 367, 1038, 8671, 8308, 6436, 2260, 288, 4520, 910, 510, 1109, 37880, 4083, 18, 19726, 520, 9402, 40483, 2458, 33530, 477, 35832, 416, 4989, 2840, 1624, 2548, 12189, 7288, 37174, 2241, 18, 5315, 478, 563, 1349, 549, 39635, 537, 371, 828, 16, 1548, 374, 481, 4901, 10823, 4831, 16, 35677, 282, 5118, 281, 26988, 680, 31481, 2206, 2103, 4687, 23368, 20454, 8390, 18, 8308, 6436, 22813, 510, 6144, 2696, 4831, 39722, 281, 2702, 27681, 31683, 323, 3416, 910, 510, 9299, 9216, 14820, 1230, 29595, 11942, 42979, 715, 22471, 17, 71, 4545, 3565, 657, 6096, 15888, 1492, 2, 1, 87, 1456, 81, 2448, 30, 730, 4654, 8270, 783, 895, 11011, 16495, 14774, 22170, 478, 28833, 648, 6397, 470, 281, 1760, 3612, 3734, 779, 18, 3782, 1386, 2572, 16, 1029, 1314, 12715, 21261, 30872, 1640, 16, 2916, 303, 1646, 1230, 5094, 5934, 553, 4843, 21, 16, 25, 3763, 18, 1598, 5781, 12991, 1698, 5582, 1291, 282, 5344, 5007, 448, 4967, 21969, 16, 33416, 2508, 19092, 2241, 30, 773, 4128, 12062, 10125, 294, 28985, 1888, 7462, 4764, 289, 47765, 2764, 349, 16903, 478, 28833, 648, 43048, 470, 1248, 1551, 18, 439, 36367 ]
[ 1250, 726, 2944, 322, 7393, 281, 478, 28833, 648, 6397, 304, 470, 411, 17, 431, 3342, 2585, 9047, 2241, 18, 31224, 30, 730, 4654, 8270, 783, 895, 16161, 16495, 14774, 22170, 281, 1760, 3612, 3734, 779, 16, 8977, 282, 10882, 1230, 5094, 5934, 783, 18, 25310, 651, 4103, 16, 6245, 30547, 4843, 21, 16, 25, 3763, 18, 18162, 7512, 48208, 2879, 906, 27592, 519, 1533, 3612, 289, 2703, 4826, 15743, 22289, 1230, 5094, 5934, 553, 16, 515, 322, 7199, 978, 16, 4266, 282, 472, 4654, 8270, 553, 18, 385, 9752, 25090, 31752, 12991, 281, 48153, 46551, 472, 4654, 8270, 783, 2703, 4826, 764, 3441, 2352, 29502, 651, 519, 1760, 3612, 18, 1178, 48208, 322, 20104, 341, 36537, 519, 978, 12783, 16, 502, 478, 275, 31566, 1760, 3612, 840, 2010, 9069, 16495, 25146, 13509, 22170, 282, 7218, 547, 12071, 1175, 910, 3828, 5854, 472, 4654, 8270, 553, 4944, 33702, 307, 20128, 18, 365, 10882, 478, 28833, 648, 6397, 470, 47727, 1293, 38618, 16, 282, 970, 2875, 411, 14775, 718, 15789, 282, 25429, 16, 9647, 9760, 16, 30562, 9201, 16, 29263, 16, 28396, 318, 16, 15191, 29029, 5039, 16, 10827, 1427, 267, 16, 28885, 16, 48326, 6772, 16, 42499, 16, 29820, 17, 618, 14222, 16, 18023, 2594, 16, 18726, 306, 16, 3874, 5101, 512, 16, 44047, 24460, 16, 37553, 277, 18, 3791, 9650, 1569, 3500, 2722, 15038, 282, 14775, 778, 19316, 411, 10827, 1427, 507, 16, 47659, 318, 16, 25429, 16, 36227, 1321, 16, 3873, 8053, 16, 6835, 17, 29596, 16, 44006, 16, 30562, 18610, 16, 29820, 17, 49165, 342, 16, 42912, 16, 48326, 298, 419, 16, 18023, 560, 16, 15888, 16965, 16, 3874, 10759, 342, 16, 46198, 16, 10827, 1427, 507, 16, 15191, 29029, 31195, 16, 28262, 16, 5347, 375, 16, 30562, 18610, 18, 365, 2241, 16144, 16, 374, 322, 1698, 14687, 3963, 281, 17234, 2921, 15224, 4672, 10084, 2480, 4568, 5117, 411, 17, 431, 2742, 12755, 40396, 2241, 16, 515, 282, 472, 4654, 8270, 553, 481, 20136, 7788, 322, 37054, 5966, 18, 478, 49165, 7165, 5581, 11734, 455, 687, 14523, 1936, 6549, 290, 970, 16, 374, 745, 45076, 24227, 349, 5447, 10996, 16495, 282, 2630, 281, 27653, 25457, 3596, 2585, 5129, 37153, 1767, 16, 515, 282, 7204, 1750, 7218, 539, 24324, 1175, 322, 2397, 5522, 3361, 294, 5930, 3707, 14775, 718, 5129, 16, 5938, 5076, 1230, 5094, 5934, 783, 2879, 14032, 282, 3678, 289, 5837, 16, 785, 334, 15166, 5129, 773, 840, 6524, 6521, 36537, 910, 510, 2548, 33702, 307, 20128, 18, 365, 478, 28833, 648, 275, 927, 470, 16144, 16, 374, 10286, 41073, 24966, 16, 32479, 472, 4654, 8270, 2206, 16, 13973, 360, 35664, 16, 5575, 18285, 1251, 2872, 16, 381, 803, 5854, 478, 28833, 648, 43048, 470, 3828, 30572, 478, 15210, 17, 23441, 861, 478, 4348, 2199, 2626, 6940, 2864, 761, 26003, 16207, 1519, 23908, 16, 281, 9752, 3662, 3465, 1672, 40471, 910, 510, 2548, 492, 18, 378, 1637, 286, 3199, 294, 478, 28833, 648, 275, 1306, 470, 912, 322, 687, 329, 11854, 18, 365, 10882, 37167, 46010, 26004, 10547, 473, 20114, 15319, 13, 5285, 5481, 14925, 513, 1433, 478, 28833, 648, 6397, 470, 411, 2926, 14303, 2423, 1349, 291, 1251, 48208, 353, 289, 2437, 9534, 334, 13486, 5447, 44472, 368, 473, 22471, 52, 814, 889, 4243, 1011, 924, 16, 428, 478, 28833, 648, 6397, 470, 35921, 3285, 1880, 30103, 15137, 282, 970, 16, 374, 2650, 16718, 23580, 315, 38712, 3576, 22170, 2764, 349, 1103, 2906, 27762, 364, 1254, 18, 478, 563, 2742, 779, 907, 37, 15319, 951, 36643, 6980, 16, 5549, 2837, 30103, 2926, 14303, 2423, 1349, 291, 1251, 48208, 353, 289, 2437, 9534, 334, 13486, 5447, 44472, 368, 16, 14895, 27809, 5063, 1545, 907, 37, 15319, 36332, 15771, 427, 4076, 14925, 44472, 16854, 349, 26450, 2906, 27762, 364, 1254, 16, 510, 2815, 478, 28833, 648, 6397, 470, 309, 3177, 3614, 18, 510, 889, 7332, 294, 6723, 954, 35968, 31450, 2241, 349, 6495, 4851, 1450, 6196, 289, 16, 428, 13391, 16, 294, 21204, 2594, 3725, 5447, 1532, 1015, 861, 3791, 478, 28833, 648, 6397, 470, 35921, 907, 37, 15319, 282, 970, 16, 374, 745, 8982, 31505, 975, 478, 275, 11970, 445, 19456, 12171, 5693, 910, 374, 15056, 2241, 7684, 1086, 281, 21298, 951, 36643, 282, 4095, 7338, 18, 640, 3614, 478, 28833, 648, 43048, 470, 519, 4319, 1326, 942, 15112, 19092, 309, 12376, 11693, 3612, 18, 740, 5516, 2381, 16, 961, 21038, 28666, 4315, 4887, 22170, 1011, 1760, 17, 361, 7619, 16, 4128, 7557, 11291, 1617, 3860, 16, 2548, 5854, 472, 4654, 8270, 553, 18, 478, 677, 7204, 1750, 1759, 8341, 42919, 309, 7462, 4173, 18, 45344, 2381, 16, 961, 31944, 19092, 282, 478, 28833, 648, 6397, 910, 2003, 840, 13304, 294, 3130, 16, 510, 2548, 492, 18, 510, 889, 4244, 549, 3785, 18, 9993, 939, 7322, 16, 374, 5447, 2226, 16449, 394, 34556, 19092, 16, 9259, 6730, 30, 282, 5792, 2702, 3352, 290, 4349, 5447, 44472, 4173, 861, 7883, 1717, 26716, 48208, 10473, 13739, 309, 12376, 11693, 3612, 16, 10480, 18, 740, 5582, 1291, 1698, 282, 5344, 687, 5007, 448, 4967, 21969, 16, 453, 428, 5906, 36367, 2632, 726, 2944, 17245, 360, 11993, 281, 478, 28833, 648, 6397, 304, 910, 2548, 3781, 17, 15975, 5675, 1100, 13306, 11658, 46442, 12568, 18, 478, 5798, 44410, 48695, 3038, 576, 282, 5960, 9702, 22170, 16, 518, 30420, 16, 961, 13517, 290, 23652, 16, 20353, 282, 478, 28833, 648, 6397, 910, 289, 773, 1122, 703, 326, 19092, 289, 29690, 10230, 24544, 1888, 14925, 32948, 16, 510, 10662, 678, 18, 651, 2112, 1760, 3612, 2900, 322, 840, 651, 4128, 7557, 13501, 19092, 329, 4758, 7462, 4173, 289, 971, 726, 1248, 1551, 47765, 2764, 16, 961, 745, 10322, 3467, 309, 20432, 26716, 478, 28833, 648, 6397, 861, 478, 28833, 648, 6397, 470, 906, 15622, 282, 11144, 1045, 16, 8034, 282, 9404, 478, 4670, 10347, 470, 18083, 41165, 718, 18, 9418, 281, 4778, 27383, 3463, 510, 478, 822, 404, 1961, 264, 8270, 470, 289, 1234, 3796, 674, 2307, 510, 37887, 5259, 9, 9246, 5516, 1136, 423, 1386, 368, 2665, 16, 5960, 1211, 6459, 10830, 40924, 18, 365, 32464, 19316, 44410, 48695, 3785, 7294, 305, 411, 14512, 16, 26144, 820, 16, 44006, 16, 13980, 3340, 16, 28262, 18, 365, 34074, 30384, 478, 28833, 648, 43048, 470, 411, 5781, 8775, 1038, 31285, 12007, 17, 324, 17, 26148, 289, 14957, 18, 3782, 1386, 2572 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1250, 726, 2944, 322, 7393, 281, 478, 28833, 648, 6397, 304, 470, 411, 17, 431, 3342, 2585, 9047, 2241, 18, 31224, 30, 730, 4654, 8270, 783, 895, 16161, 16495, 14774, 22170, 281, 1760, 3612, 3734, 779, 16, 8977, 282, 10882, 1230, 5094, 5934, 783, 18, 25310, 651, 4103, 16, 6245, 30547, 4843, 21, 16, 25, 3763, 18, 18162, 7512, 48208, 2879, 906, 27592, 519, 1533, 3612, 289, 2703, 4826, 15743, 22289, 1230, 5094, 5934, 553, 16, 515, 322, 7199, 978, 16, 4266, 282, 472, 4654, 8270, 553, 18, 385, 9752, 25090, 31752, 12991, 281, 48153, 46551, 472, 4654, 8270, 783, 2703, 4826, 764, 3441, 2352, 29502, 651, 519, 1760, 3612, 18, 1178, 48208, 322, 20104, 341, 36537, 519, 978, 12783, 16, 502, 478, 275, 31566, 1760, 3612, 840, 2010, 9069, 16495, 25146, 13509, 22170, 282, 7218, 547, 12071, 1175, 910, 3828, 5854, 472, 4654, 8270, 553, 4944, 33702, 307, 20128, 18, 365, 10882, 478, 28833, 648, 6397, 470, 47727, 1293, 38618, 16, 282, 970, 2875, 411, 14775, 718, 15789, 282, 25429, 16, 9647, 9760, 16, 30562, 9201, 16, 29263, 16, 28396, 318, 16, 15191, 29029, 5039, 16, 10827, 1427, 267, 16, 28885, 16, 48326, 6772, 16, 42499, 16, 29820, 17, 618, 14222, 16, 18023, 2594, 16, 18726, 306, 16, 3874, 5101, 512, 16, 44047, 24460, 16, 37553, 277, 18, 3791, 9650, 1569, 3500, 2722, 15038, 282, 14775, 778, 19316, 411, 10827, 1427, 507, 16, 47659, 318, 16, 25429, 16, 36227, 1321, 16, 3873, 8053, 16, 6835, 17, 29596, 16, 44006, 16, 30562, 18610, 16, 29820, 17, 49165, 342, 16, 42912, 16, 48326, 298, 419, 16, 18023, 560, 16, 15888, 16965, 16, 3874, 10759, 342, 16, 46198, 16, 10827, 1427, 507, 16, 15191, 29029, 31195, 16, 28262, 16, 5347, 375, 16, 30562, 18610, 18, 365, 2241, 16144, 16, 374, 322, 1698, 14687, 3963, 281, 17234, 2921, 15224, 4672, 10084, 2480, 4568, 5117, 411, 17, 431, 2742, 12755, 40396, 2241, 16, 515, 282, 472, 4654, 8270, 553, 481, 20136, 7788, 322, 37054, 5966, 18, 478, 49165, 7165, 5581, 11734, 455, 687, 14523, 1936, 6549, 290, 970, 16, 374, 745, 45076, 24227, 349, 5447, 10996, 16495, 282, 2630, 281, 27653, 25457, 3596, 2585, 5129, 37153, 1767, 16, 515, 282, 7204, 1750, 7218, 539, 24324, 1175, 322, 2397, 5522, 3361, 294, 5930, 3707, 14775, 718, 5129, 16, 5938, 5076, 1230, 5094, 5934, 783, 2879, 14032, 282, 3678, 289, 5837, 16, 785, 334, 15166, 5129, 773, 840, 6524, 6521, 36537, 910, 510, 2548, 33702, 307, 20128, 18, 365, 478, 28833, 648, 275, 927, 470, 16144, 16, 374, 10286, 41073, 24966, 16, 32479, 472, 4654, 8270, 2206, 16, 13973, 360, 35664, 16, 5575, 18285, 1251, 2872, 16, 381, 803, 5854, 478, 28833, 648, 43048, 470, 3828, 30572, 478, 15210, 17, 23441, 861, 478, 4348, 2199, 2626, 6940, 2864, 761, 26003, 16207, 1519, 23908, 16, 281, 9752, 3662, 3465, 1672, 40471, 910, 510, 2548, 492, 18, 378, 1637, 286, 3199, 294, 478, 28833, 648, 275, 1306, 470, 912, 322, 687, 329, 11854, 18, 365, 10882, 37167, 46010, 26004, 10547, 473, 20114, 15319, 13, 5285, 5481, 14925, 513, 1433, 478, 28833, 648, 6397, 470, 411, 2926, 14303, 2423, 1349, 291, 1251, 48208, 353, 289, 2437, 9534, 334, 13486, 5447, 44472, 368, 473, 22471, 52, 814, 889, 4243, 1011, 924, 16, 428, 478, 28833, 648, 6397, 470, 35921, 3285, 1880, 30103, 15137, 282, 970, 16, 374, 2650, 16718, 23580, 315, 38712, 3576, 22170, 2764, 349, 1103, 2906, 27762, 364, 1254, 18, 478, 563, 2742, 779, 907, 37, 15319, 951, 36643, 6980, 16, 5549, 2837, 30103, 2926, 14303, 2423, 1349, 291, 1251, 48208, 353, 289, 2437, 9534, 334, 13486, 5447, 44472, 368, 16, 14895, 27809, 5063, 1545, 907, 37, 15319, 36332, 15771, 427, 4076, 14925, 44472, 16854, 349, 26450, 2906, 27762, 364, 1254, 16, 510, 2815, 478, 28833, 648, 6397, 470, 309, 3177, 3614, 18, 510, 889, 7332, 294, 6723, 954, 35968, 31450, 2241, 349, 6495, 4851, 1450, 6196, 289, 16, 428, 13391, 16, 294, 21204, 2594, 3725, 5447, 1532, 1015, 861, 3791, 478, 28833, 648, 6397, 470, 35921, 907, 37, 15319, 282, 970, 16, 374, 745, 8982, 31505, 975, 478, 275, 11970, 445, 19456, 12171, 5693, 910, 374, 15056, 2241, 7684, 1086, 281, 21298, 951, 36643, 282, 4095, 7338, 18, 640, 3614, 478, 28833, 648, 43048, 470, 519, 4319, 1326, 942, 15112, 19092, 309, 12376, 11693, 3612, 18, 740, 5516, 2381, 16, 961, 21038, 28666, 4315, 4887, 22170, 1011, 1760, 17, 361, 7619, 16, 4128, 7557, 11291, 1617, 3860, 16, 2548, 5854, 472, 4654, 8270, 553, 18, 478, 677, 7204, 1750, 1759, 8341, 42919, 309, 7462, 4173, 18, 45344, 2381, 16, 961, 31944, 19092, 282, 478, 28833, 648, 6397, 910, 2003, 840, 13304, 294, 3130, 16, 510, 2548, 492, 18, 510, 889, 4244, 549, 3785, 18, 9993, 939, 7322, 16, 374, 5447, 2226, 16449, 394, 34556, 19092, 16, 9259, 6730, 30, 282, 5792, 2702, 3352, 290, 4349, 5447, 44472, 4173, 861, 7883, 1717, 26716, 48208, 10473, 13739, 309, 12376, 11693, 3612, 16, 10480, 18, 740, 5582, 1291, 1698, 282, 5344, 687, 5007, 448, 4967, 21969, 16, 453, 428, 5906, 36367, 2632, 726, 2944, 17245, 360, 11993, 281, 478, 28833, 648, 6397, 304, 910, 2548, 3781, 17, 15975, 5675, 1100, 13306, 11658, 46442, 12568, 18, 478, 5798, 44410, 48695, 3038, 576, 282, 5960, 9702, 22170, 16, 518, 30420, 16, 961, 13517, 290, 23652, 16, 20353, 282, 478, 28833, 648, 6397, 910, 289, 773, 1122, 703, 326, 19092, 289, 29690, 10230, 24544, 1888, 14925, 32948, 16, 510, 10662, 678, 18, 651, 2112, 1760, 3612, 2900, 322, 840, 651, 4128, 7557, 13501, 19092, 329, 4758, 7462, 4173, 289, 971, 726, 1248, 1551, 47765, 2764, 16, 961, 745, 10322, 3467, 309, 20432, 26716, 478, 28833, 648, 6397, 861, 478, 28833, 648, 6397, 470, 906, 15622, 282, 11144, 1045, 16, 8034, 282, 9404, 478, 4670, 10347, 470, 18083, 41165, 718, 18, 9418, 281, 4778, 27383, 3463, 510, 478, 822, 404, 1961, 264, 8270, 470, 289, 1234, 3796, 674, 2307, 510, 37887, 5259, 9, 9246, 5516, 1136, 423, 1386, 368, 2665, 16, 5960, 1211, 6459, 10830, 40924, 18, 365, 32464, 19316, 44410, 48695, 3785, 7294, 305, 411, 14512, 16, 26144, 820, 16, 44006, 16, 13980, 3340, 16, 28262, 18, 365, 34074, 30384, 478, 28833, 648, 43048, 470, 411, 5781, 8775, 1038, 31285, 12007, 17, 324, 17, 26148, 289, 14957, 18, 3782, 1386, 2572 ]
[ 23140, 24967, 19540, 11035, 30, 5017, 4028, 13798, 29591, 2241, 1146, 18360, 24164, 15038, 478, 28833, 648, 43048, 470, 289, 5564, 925, 20635, 1519, 37878, 18, 2, 1, 87, 1456, 81, 2448, 30, 684, 1005, 451, 15506, 27034, 811, 2917, 2236, 411, 3322, 18036, 1801, 6979, 47431, 510, 4874, 343, 34268, 18, 365, 3198, 37335, 16, 14170, 1027, 1122, 16, 685, 7808, 17490, 778, 14831, 320, 289, 5834, 9778, 20451, 37908, 2931, 18, 824, 1210, 9946, 3761, 16, 505, 21680, 6137, 322, 19538, 9879, 513, 16, 1586, 906, 309, 1230, 843, 411, 12654, 10208, 18, 365, 5975, 808, 20841, 309, 8182, 1512, 411, 17, 431, 3217, 670, 8496, 9233, 3277, 16406, 32957, 516, 45982, 16, 1210, 4833, 935, 27767, 48103, 510, 478, 1369, 1216, 2795, 349, 588, 902, 861, 31224, 30, 672, 13419, 34268, 282, 3507, 10490, 349, 42760, 4167, 282, 5214, 20122, 32922, 18, 7909, 491, 4160, 38656, 12319, 266, 3720, 22536, 11868, 48414, 1321, 37252, 1651, 1306, 2052, 1386, 626, 3583, 1624, 1029, 282, 1177, 2083, 20727, 282, 11165, 25136, 18, 9967, 19690, 301, 1731, 349, 9262, 415, 7641, 682, 18, 20859, 1011, 31246, 542, 289, 22714, 18051, 22536, 685, 45522, 18900, 294, 7518, 1986, 4287, 9358, 5537, 904, 18, 6682, 15649, 8534, 5195, 2992, 13013, 16, 14170, 1510, 282, 17062, 282, 3765, 309, 2511, 4160, 282, 3948, 20068, 680, 23435, 18, 824, 7475, 14160, 16, 505, 21298, 5823, 14831, 320, 289, 9778, 411, 5579, 17, 14723, 4518, 17, 7745, 20451, 37908, 2931, 289, 3703, 17, 7745, 3138, 845, 38495, 1624, 5104, 38639, 11088, 50149, 18, 640, 36054, 8472, 281, 14374, 15665, 4750, 16, 428, 38495, 4686, 2053, 7416, 1728, 21680, 1321, 282, 7764, 16, 367, 971, 30568, 505, 27117, 11917, 3969, 16, 1011, 1660, 37908, 2931, 16828, 309, 31471, 18, 38431, 16, 9956, 334, 8623, 16, 3539, 706, 2287, 7264, 18, 4852, 1533, 1879, 1011, 39900, 309, 1756, 13631, 35272, 25904, 25624, 3599, 16, 16144, 282, 3781, 17, 12495, 4874, 343, 34268, 18, 37908, 2931, 16, 35474, 30502, 22264, 315, 17, 8796, 1798, 516, 34840, 16, 40914, 282, 4106, 289, 16342, 16, 322, 2270, 274, 282, 8433, 16, 2734, 1143, 828, 1248, 5284, 1011, 10072, 10414, 18, 45688, 15424, 3138, 845, 38495, 1624, 428, 3828, 6080, 478, 13261, 470, 7897, 282, 6233, 16, 334, 10009, 25364, 322, 10012, 16, 9025, 505, 46199, 994, 21593, 1055, 322, 3225, 18, 19065, 16, 374, 20664, 4874, 343, 34268, 322, 1228, 8531, 281, 22573, 4216, 16362, 334, 5083, 39900, 18, 37451, 11116, 322, 1833, 1011, 32764, 16, 367, 1472, 309, 5421, 1119, 1011, 3422, 37908, 8053, 18, 478, 684, 6095, 16, 2734, 1143, 828, 1248, 5284, 1011, 26369, 20451, 37908, 2931, 16342, 282, 14154, 18, 9384, 7193, 16572, 38964, 392, 305, 36426, 289, 24074, 30979, 18, 1345, 2394, 3559, 1209, 17584, 357, 294, 2856, 1914, 264, 9674, 18, 889, 15396, 6174, 30712, 16, 367, 322, 437, 335, 1152, 4562, 29511, 783, 18, 35605, 34268, 510, 2361, 411, 3322, 46265, 4486, 12971, 3820, 366, 4534, 16, 3772, 539, 541, 1209, 282, 9681, 808, 2299, 289, 5963, 18, 16539, 1533, 3763, 25040, 289, 7646, 10208, 15415, 282, 12773, 282, 28785, 2849, 18, 967, 803, 481, 2361, 411, 3322, 2655, 432, 1801, 3662, 2001, 18, 5165, 819, 265, 19690, 8895, 4775, 1625, 318, 18, 459, 541, 813, 1177, 2615, 4116, 15133, 2403, 3022, 1038, 1623, 3846, 536, 334, 1360, 25035, 16, 38732, 40032, 281, 3640, 5613, 289, 42395, 3928, 349, 4101, 3142, 23337, 323, 16572, 16, 282, 2114, 1003, 2223, 541, 11062, 700, 16, 18802, 289, 26177, 18, 1345, 939, 4660, 3559, 309, 502, 16, 374, 3247, 16, 13743, 34672, 1805, 16259, 16197, 37908, 8053, 1624, 1747, 27601, 289, 15018, 487, 9621, 3732, 13742, 18, 1345, 2394, 3559, 1209, 16, 1085, 12019, 38964, 392, 305, 27293, 289, 24074, 30979, 16, 1085, 2826, 7107, 2365, 14170, 1757, 510, 20676, 2651, 1423, 14051, 309, 8203, 37829, 8150, 289, 32247, 36587, 50054, 282, 47425, 1209, 15515, 13631, 289, 30371, 45748, 910, 510, 5130, 282, 1335, 8623, 18, 365, 17062, 1038, 34259, 16, 374, 37908, 2931, 685, 24214, 1390, 478, 275, 15575, 10107, 16572, 16, 3500, 4028, 360, 24168, 25090, 4629, 16, 988, 1413, 9218, 32247, 2107, 7528, 476, 25624, 3599, 282, 10072, 10414, 4255, 1731, 16, 31459, 20202, 8850, 861, 1681, 478, 405, 335, 1152, 2209, 29511, 2206, 910, 8084, 16, 14022, 1812, 5502, 1479, 5473, 2859, 326, 523, 290, 17062, 16, 961, 4732, 19544, 1011, 924, 16, 428, 5825, 290, 3332, 582, 2178, 262, 8096, 282, 39768, 18, 478, 6039, 1143, 9416, 483, 22458, 282, 803, 2468, 18, 365, 4722, 445, 16, 4085, 7892, 334, 478, 780, 2774, 263, 4681, 470, 282, 2580, 16572, 34268, 16, 3189, 16, 428, 7331, 549, 336, 412, 4970, 16192, 455, 294, 14411, 18, 2877, 2141, 322, 3027, 3336, 8705, 910, 510, 6463, 1176, 411, 1129, 282, 21858, 8933, 978, 2223, 6979, 18, 478, 20731, 15818, 12457, 289, 8495, 290, 41257, 35, 35605, 16, 2006, 694, 16613, 865, 16, 374, 537, 371, 828, 5433, 510, 18585, 8148, 17656, 2016, 18, 478, 40806, 10107, 1122, 939, 1269, 18, 459, 827, 374, 17, 299, 3621, 16, 745, 2988, 18912, 3236, 282, 4905, 289, 445, 724, 467, 3332, 1616, 609, 16, 2988, 18955, 15913, 16, 1586, 35149, 282, 3178, 2059, 17, 44300, 1879, 18, 2046, 282, 4101, 1293, 4776, 1122, 8693, 701, 4136, 17, 299, 3785, 11137, 32998, 411, 33957, 12466, 1175, 18, 1606, 349, 19493, 467, 1512, 289, 3891, 15373, 40543, 336, 412, 17, 285, 26572, 510, 4345, 481, 322, 25845, 1048, 18, 629, 322, 2060, 16, 2006, 519, 4319, 1326, 281, 2872, 1329, 322, 6547, 910, 510, 4848, 478, 46088, 18, 8381, 470, 2107, 2483, 879, 33951, 16572, 18, 35605, 34268, 8249, 20951, 282, 4440, 1045, 16, 1011, 924, 428, 505, 19201, 1559, 4210, 20396, 523, 18, 3026, 898, 5183, 345, 6025, 3333, 39091, 377, 2899, 16, 685, 19348, 27263, 2789, 16, 289, 475, 8149, 639, 10726, 9368, 334, 21946, 15469, 2986, 16, 1478, 5583, 12773, 49338, 496, 2496, 1801, 6979, 541, 47431, 18, 2949, 924, 16, 3348, 411, 5606, 10945, 2756, 360, 4111, 44154, 933, 13917, 1476, 289, 27381, 697, 309, 32236, 282, 2934, 10217, 5492, 510, 428, 1655, 30061, 435, 9770, 16572, 16, 2733, 2175, 25674, 26637, 965, 1033, 24288, 18, 640, 10159, 478, 32485, 18, 8381, 910, 12350, 520, 29373, 282, 2630, 281, 41317, 496, 282, 17062 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23140, 24967, 19540, 11035, 30, 5017, 4028, 13798, 29591, 2241, 1146, 18360, 24164, 15038, 478, 28833, 648, 43048, 470, 289, 5564, 925, 20635, 1519, 37878, 18, 2, 1, 87, 1456, 81, 2448, 30, 684, 1005, 451, 15506, 27034, 811, 2917, 2236, 411, 3322, 18036, 1801, 6979, 47431, 510, 4874, 343, 34268, 18, 365, 3198, 37335, 16, 14170, 1027, 1122, 16, 685, 7808, 17490, 778, 14831, 320, 289, 5834, 9778, 20451, 37908, 2931, 18, 824, 1210, 9946, 3761, 16, 505, 21680, 6137, 322, 19538, 9879, 513, 16, 1586, 906, 309, 1230, 843, 411, 12654, 10208, 18, 365, 5975, 808, 20841, 309, 8182, 1512, 411, 17, 431, 3217, 670, 8496, 9233, 3277, 16406, 32957, 516, 45982, 16, 1210, 4833, 935, 27767, 48103, 510, 478, 1369, 1216, 2795, 349, 588, 902, 861, 31224, 30, 672, 13419, 34268, 282, 3507, 10490, 349, 42760, 4167, 282, 5214, 20122, 32922, 18, 7909, 491, 4160, 38656, 12319, 266, 3720, 22536, 11868, 48414, 1321, 37252, 1651, 1306, 2052, 1386, 626, 3583, 1624, 1029, 282, 1177, 2083, 20727, 282, 11165, 25136, 18, 9967, 19690, 301, 1731, 349, 9262, 415, 7641, 682, 18, 20859, 1011, 31246, 542, 289, 22714, 18051, 22536, 685, 45522, 18900, 294, 7518, 1986, 4287, 9358, 5537, 904, 18, 6682, 15649, 8534, 5195, 2992, 13013, 16, 14170, 1510, 282, 17062, 282, 3765, 309, 2511, 4160, 282, 3948, 20068, 680, 23435, 18, 824, 7475, 14160, 16, 505, 21298, 5823, 14831, 320, 289, 9778, 411, 5579, 17, 14723, 4518, 17, 7745, 20451, 37908, 2931, 289, 3703, 17, 7745, 3138, 845, 38495, 1624, 5104, 38639, 11088, 50149, 18, 640, 36054, 8472, 281, 14374, 15665, 4750, 16, 428, 38495, 4686, 2053, 7416, 1728, 21680, 1321, 282, 7764, 16, 367, 971, 30568, 505, 27117, 11917, 3969, 16, 1011, 1660, 37908, 2931, 16828, 309, 31471, 18, 38431, 16, 9956, 334, 8623, 16, 3539, 706, 2287, 7264, 18, 4852, 1533, 1879, 1011, 39900, 309, 1756, 13631, 35272, 25904, 25624, 3599, 16, 16144, 282, 3781, 17, 12495, 4874, 343, 34268, 18, 37908, 2931, 16, 35474, 30502, 22264, 315, 17, 8796, 1798, 516, 34840, 16, 40914, 282, 4106, 289, 16342, 16, 322, 2270, 274, 282, 8433, 16, 2734, 1143, 828, 1248, 5284, 1011, 10072, 10414, 18, 45688, 15424, 3138, 845, 38495, 1624, 428, 3828, 6080, 478, 13261, 470, 7897, 282, 6233, 16, 334, 10009, 25364, 322, 10012, 16, 9025, 505, 46199, 994, 21593, 1055, 322, 3225, 18, 19065, 16, 374, 20664, 4874, 343, 34268, 322, 1228, 8531, 281, 22573, 4216, 16362, 334, 5083, 39900, 18, 37451, 11116, 322, 1833, 1011, 32764, 16, 367, 1472, 309, 5421, 1119, 1011, 3422, 37908, 8053, 18, 478, 684, 6095, 16, 2734, 1143, 828, 1248, 5284, 1011, 26369, 20451, 37908, 2931, 16342, 282, 14154, 18, 9384, 7193, 16572, 38964, 392, 305, 36426, 289, 24074, 30979, 18, 1345, 2394, 3559, 1209, 17584, 357, 294, 2856, 1914, 264, 9674, 18, 889, 15396, 6174, 30712, 16, 367, 322, 437, 335, 1152, 4562, 29511, 783, 18, 35605, 34268, 510, 2361, 411, 3322, 46265, 4486, 12971, 3820, 366, 4534, 16, 3772, 539, 541, 1209, 282, 9681, 808, 2299, 289, 5963, 18, 16539, 1533, 3763, 25040, 289, 7646, 10208, 15415, 282, 12773, 282, 28785, 2849, 18, 967, 803, 481, 2361, 411, 3322, 2655, 432, 1801, 3662, 2001, 18, 5165, 819, 265, 19690, 8895, 4775, 1625, 318, 18, 459, 541, 813, 1177, 2615, 4116, 15133, 2403, 3022, 1038, 1623, 3846, 536, 334, 1360, 25035, 16, 38732, 40032, 281, 3640, 5613, 289, 42395, 3928, 349, 4101, 3142, 23337, 323, 16572, 16, 282, 2114, 1003, 2223, 541, 11062, 700, 16, 18802, 289, 26177, 18, 1345, 939, 4660, 3559, 309, 502, 16, 374, 3247, 16, 13743, 34672, 1805, 16259, 16197, 37908, 8053, 1624, 1747, 27601, 289, 15018, 487, 9621, 3732, 13742, 18, 1345, 2394, 3559, 1209, 16, 1085, 12019, 38964, 392, 305, 27293, 289, 24074, 30979, 16, 1085, 2826, 7107, 2365, 14170, 1757, 510, 20676, 2651, 1423, 14051, 309, 8203, 37829, 8150, 289, 32247, 36587, 50054, 282, 47425, 1209, 15515, 13631, 289, 30371, 45748, 910, 510, 5130, 282, 1335, 8623, 18, 365, 17062, 1038, 34259, 16, 374, 37908, 2931, 685, 24214, 1390, 478, 275, 15575, 10107, 16572, 16, 3500, 4028, 360, 24168, 25090, 4629, 16, 988, 1413, 9218, 32247, 2107, 7528, 476, 25624, 3599, 282, 10072, 10414, 4255, 1731, 16, 31459, 20202, 8850, 861, 1681, 478, 405, 335, 1152, 2209, 29511, 2206, 910, 8084, 16, 14022, 1812, 5502, 1479, 5473, 2859, 326, 523, 290, 17062, 16, 961, 4732, 19544, 1011, 924, 16, 428, 5825, 290, 3332, 582, 2178, 262, 8096, 282, 39768, 18, 478, 6039, 1143, 9416, 483, 22458, 282, 803, 2468, 18, 365, 4722, 445, 16, 4085, 7892, 334, 478, 780, 2774, 263, 4681, 470, 282, 2580, 16572, 34268, 16, 3189, 16, 428, 7331, 549, 336, 412, 4970, 16192, 455, 294, 14411, 18, 2877, 2141, 322, 3027, 3336, 8705, 910, 510, 6463, 1176, 411, 1129, 282, 21858, 8933, 978, 2223, 6979, 18, 478, 20731, 15818, 12457, 289, 8495, 290, 41257, 35, 35605, 16, 2006, 694, 16613, 865, 16, 374, 537, 371, 828, 5433, 510, 18585, 8148, 17656, 2016, 18, 478, 40806, 10107, 1122, 939, 1269, 18, 459, 827, 374, 17, 299, 3621, 16, 745, 2988, 18912, 3236, 282, 4905, 289, 445, 724, 467, 3332, 1616, 609, 16, 2988, 18955, 15913, 16, 1586, 35149, 282, 3178, 2059, 17, 44300, 1879, 18, 2046, 282, 4101, 1293, 4776, 1122, 8693, 701, 4136, 17, 299, 3785, 11137, 32998, 411, 33957, 12466, 1175, 18, 1606, 349, 19493, 467, 1512, 289, 3891, 15373, 40543, 336, 412, 17, 285, 26572, 510, 4345, 481, 322, 25845, 1048, 18, 629, 322, 2060, 16, 2006, 519, 4319, 1326, 281, 2872, 1329, 322, 6547, 910, 510, 4848, 478, 46088, 18, 8381, 470, 2107, 2483, 879, 33951, 16572, 18, 35605, 34268, 8249, 20951, 282, 4440, 1045, 16, 1011, 924, 428, 505, 19201, 1559, 4210, 20396, 523, 18, 3026, 898, 5183, 345, 6025, 3333, 39091, 377, 2899, 16, 685, 19348, 27263, 2789, 16, 289, 475, 8149, 639, 10726, 9368, 334, 21946, 15469, 2986, 16, 1478, 5583, 12773, 49338, 496, 2496, 1801, 6979, 541, 47431, 18, 2949, 924, 16, 3348, 411, 5606, 10945, 2756, 360, 4111, 44154, 933, 13917, 1476, 289, 27381, 697, 309, 32236, 282, 2934, 10217, 5492, 510, 428, 1655, 30061, 435, 9770, 16572, 16, 2733, 2175, 25674, 26637, 965, 1033, 24288, 18, 640, 10159, 478, 32485, 18, 8381, 910, 12350, 520, 29373, 282, 2630, 281, 41317, 496, 282, 17062 ]
[ 12356, 7272, 3623, 16, 3781, 17, 9952, 1312, 15163, 265, 630, 322, 9253, 8055, 18622, 18, 824, 3761, 9163, 5792, 16, 9402, 14719, 309, 37908, 8053, 2756, 505, 9879, 513, 30, 8641, 281, 4947, 4611, 45450, 1891, 16, 1177, 4421, 9233, 9740, 2410, 47514, 456, 18, 365, 4722, 1205, 282, 37870, 14025, 3277, 16406, 19187, 453, 49243, 478, 1369, 1216, 3162, 349, 588, 902, 861, 30530, 978, 15351, 282, 11671, 30, 34137, 1465, 4195, 3626, 22051, 12801, 1829, 309, 1512, 16, 961, 21309, 9520, 16901, 39307, 18, 478, 3096, 4512, 309, 5207, 6304, 26010, 1293, 4009, 1385, 12032, 411, 17, 431, 44331, 18, 4988, 48133, 326, 309, 4713, 289, 411, 3590, 8100, 16, 6177, 282, 37555, 27547, 3455, 1038, 289, 4228, 18, 3492, 17, 299, 411, 35901, 14306, 15913, 16, 1209, 24913, 282, 10264, 13331, 18, 5043, 16, 1209, 5957, 34309, 16, 1548, 428, 475, 11009, 1335, 478, 598, 1184, 382, 470, 898, 18708, 564, 910, 510, 27250, 478, 46088, 18, 8381, 470, 14999, 2016, 39193, 3700, 27359, 7839, 615, 12510, 18, 640, 513, 425, 1800, 1698, 282, 970, 2875, 411, 17, 431, 9233, 14183, 39307, 30, 34237, 16117, 3044, 16, 46758, 23349, 16, 1273, 11002, 1149, 3166, 16, 4339, 37212, 4865, 16, 18174, 3166, 16, 1075, 565, 4423, 14207, 3039, 82, 16, 3527, 22883, 1308, 18, 7699, 411, 1967, 39307, 4419, 898, 42572, 282, 14025, 43773, 42519, 16, 367, 1038, 2496, 7032, 22602, 1599, 770, 19053, 18, 459, 16, 428, 8503, 282, 37870, 14025, 16, 12816, 281, 3195, 8689, 478, 8844, 691, 806, 470, 10172, 924, 670, 13793, 4202, 10073, 2048, 453, 16, 753, 478, 408, 470, 3640, 12832, 9520, 322, 16439, 1085, 23947, 18, 5043, 16, 294, 28036, 18254, 5693, 478, 1369, 1216, 1507, 349, 588, 902, 470, 2458, 11103, 2666, 475, 4106, 322, 31838, 18, 28462, 12319, 266, 18164, 33450, 7586, 14118, 1624, 367, 4373, 21576, 4696, 478, 1182, 363, 45259, 470, 4944, 5573, 397, 2347, 22985, 16, 374, 2291, 13022, 478, 8844, 691, 806, 470, 349, 5135, 17, 3697, 9520, 11116, 726, 2702, 2944, 18, 478, 2176, 3927, 16, 309, 36934, 282, 11078, 1045, 282, 35469, 30755, 294, 1299, 10761, 28992, 2301, 15505, 29338, 416, 13963, 289, 322, 8982, 1865, 332, 16, 515, 939, 18201, 16, 374, 656, 1907, 406, 282, 13670, 4330, 16, 3387, 16, 334, 22567, 9181, 277, 16, 282, 518, 3142, 8705, 282, 13670, 4330, 639, 4650, 435, 18, 7594, 16, 3279, 4726, 322, 7696, 4733, 8783, 42138, 8769, 16, 19547, 697, 2733, 9945, 30, 4759, 293, 5808, 519, 4700, 17, 299, 1965, 13703, 2533, 670, 519, 4700, 17, 299, 1965, 3694, 10829, 432, 289, 35687, 7620, 13963, 18, 459, 371, 12227, 294, 1498, 1320, 4136, 17, 299, 322, 6917, 30945, 2301, 8182, 1512, 18, 5257, 374, 827, 1085, 17, 299, 411, 1967, 478, 8844, 691, 806, 379, 526, 5363, 470, 19980, 373, 10449, 349, 5135, 17, 299, 9955, 329, 31441, 33450, 12319, 354, 670, 31662, 718, 1977, 613, 16, 502, 16, 47351, 1223, 16, 17221, 1815, 685, 373, 29127, 286, 281, 2236, 10687, 289, 3525, 33421, 290, 970, 16, 374, 2141, 8181, 371, 11209, 294, 4453, 33994, 861, 8778, 1116, 5067, 5573, 397, 2347, 2172, 1788, 322, 1174, 4050, 282, 4096, 16, 785, 1085, 17, 299, 371, 2565, 294, 1498, 18, 478, 6161, 1588, 19740, 519, 32764, 16, 502, 1513, 17794, 5216, 18, 5093, 4417, 16356, 31938, 522, 18, 4950, 282, 1078, 10449, 1494, 30, 478, 618, 694, 5045, 33091, 16, 753, 20831, 349, 588, 902, 35, 824, 1216, 307, 16, 1085, 694, 1574, 16, 753, 13449, 481, 1247, 910, 510, 1109, 492, 18, 478, 26760, 15351, 898, 1494, 30, 282, 3610, 17, 263, 3142, 904, 274, 607, 25585, 18339, 297, 16, 971, 26934, 25585, 22914, 933, 16, 367, 282, 2343, 10423, 17, 292, 619, 23331, 281, 27239, 9381, 6641, 414, 309, 10700, 2477, 289, 5843, 523, 18, 640, 2218, 2193, 16, 282, 1110, 6160, 16, 785, 9099, 15351, 9707, 35542, 6229, 1742, 4004, 16, 502, 481, 16672, 290, 970, 16, 374, 37972, 9597, 309, 6594, 7654, 7393, 18, 3923, 16, 1833, 47435, 1812, 2172, 30, 35202, 282, 6085, 18758, 16, 2472, 4251, 19827, 15072, 289, 19948, 600, 3259, 18, 5043, 16, 935, 21658, 281, 37819, 10325, 11949, 1867, 289, 935, 30699, 18, 2876, 16, 581, 16, 417, 9763, 16, 374, 13963, 1381, 6908, 27670, 16, 753, 1830, 373, 309, 6595, 17, 299, 5066, 46942, 349, 965, 18, 740, 281, 2107, 1963, 16, 4703, 19079, 28609, 1810, 17329, 12588, 18, 1178, 2388, 14719, 322, 11011, 282, 349, 23029, 466, 16, 502, 656, 371, 2445, 294, 4096, 2742, 6374, 17, 292, 5521, 16, 785, 4686, 336, 412, 1157, 25585, 1110, 16, 1085, 478, 1344, 453, 470, 11575, 16, 971, 745, 23720, 32316, 282, 34811, 289, 18667, 874, 16, 374, 4702, 8445, 16, 367, 971, 510, 25840, 6457, 1195, 50173, 44817, 2553, 910, 510, 9848, 478, 46088, 18, 8381, 470, 43078, 9275, 5348, 282, 40673, 289, 38846, 1919, 16, 12681, 12189, 25065, 14708, 394, 3740, 1492, 2, 1, 87, 1456, 81, 2448, 30, 18989, 414, 783, 2145, 289, 10676, 282, 4542, 13784, 334, 8144, 29611, 1033, 594, 8187, 16, 289, 537, 2197, 411, 1129, 322, 906, 4524, 1004, 13450, 3334, 13409, 1279, 22185, 554, 11692, 7225, 16, 2815, 5037, 23127, 1642, 36176, 28565, 18, 824, 505, 3163, 16, 10711, 2671, 17196, 30349, 23980, 1360, 4380, 18, 4530, 867, 16, 2734, 4419, 19267, 1175, 1629, 576, 16, 374, 3402, 28600, 8144, 12807, 3467, 24110, 46303, 16, 2671, 26258, 19215, 15466, 2206, 281, 18577, 289, 25146, 44117, 18, 31224, 30, 22681, 2145, 36176, 28565, 282, 4542, 1728, 11815, 567, 31255, 476, 282, 10666, 16, 2261, 4238, 16, 2815, 16, 374, 411, 27839, 8187, 16, 2671, 11504, 371, 31277, 19215, 24253, 334, 8144, 16, 537, 2197, 322, 906, 4524, 1004, 13450, 3334, 13409, 1279, 22185, 554, 11692, 7225, 16, 5923, 727, 4742, 18, 478, 4348, 4463, 5740, 1033, 594, 8187, 16, 289, 745, 322, 281, 3590, 537, 3441, 18, 19380, 2671, 17196, 30349, 23980, 1360, 4380, 910, 510, 11836, 13205, 5222, 18, 24140, 11673, 289, 5781, 6684, 334, 5083, 7875, 822, 13784, 19215, 24253, 8249, 445, 21554, 18, 996, 16, 14638, 29179, 4419, 7996, 24862, 33335, 3594, 4900, 39876, 31883, 1333, 1175, 4210, 16396, 680, 4848, 16, 374, 3402, 28600, 8144, 12807, 3467, 24110, 46303, 16, 2671, 26258, 29290, 2145, 289, 10676, 281, 18577, 289 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12356, 7272, 3623, 16, 3781, 17, 9952, 1312, 15163, 265, 630, 322, 9253, 8055, 18622, 18, 824, 3761, 9163, 5792, 16, 9402, 14719, 309, 37908, 8053, 2756, 505, 9879, 513, 30, 8641, 281, 4947, 4611, 45450, 1891, 16, 1177, 4421, 9233, 9740, 2410, 47514, 456, 18, 365, 4722, 1205, 282, 37870, 14025, 3277, 16406, 19187, 453, 49243, 478, 1369, 1216, 3162, 349, 588, 902, 861, 30530, 978, 15351, 282, 11671, 30, 34137, 1465, 4195, 3626, 22051, 12801, 1829, 309, 1512, 16, 961, 21309, 9520, 16901, 39307, 18, 478, 3096, 4512, 309, 5207, 6304, 26010, 1293, 4009, 1385, 12032, 411, 17, 431, 44331, 18, 4988, 48133, 326, 309, 4713, 289, 411, 3590, 8100, 16, 6177, 282, 37555, 27547, 3455, 1038, 289, 4228, 18, 3492, 17, 299, 411, 35901, 14306, 15913, 16, 1209, 24913, 282, 10264, 13331, 18, 5043, 16, 1209, 5957, 34309, 16, 1548, 428, 475, 11009, 1335, 478, 598, 1184, 382, 470, 898, 18708, 564, 910, 510, 27250, 478, 46088, 18, 8381, 470, 14999, 2016, 39193, 3700, 27359, 7839, 615, 12510, 18, 640, 513, 425, 1800, 1698, 282, 970, 2875, 411, 17, 431, 9233, 14183, 39307, 30, 34237, 16117, 3044, 16, 46758, 23349, 16, 1273, 11002, 1149, 3166, 16, 4339, 37212, 4865, 16, 18174, 3166, 16, 1075, 565, 4423, 14207, 3039, 82, 16, 3527, 22883, 1308, 18, 7699, 411, 1967, 39307, 4419, 898, 42572, 282, 14025, 43773, 42519, 16, 367, 1038, 2496, 7032, 22602, 1599, 770, 19053, 18, 459, 16, 428, 8503, 282, 37870, 14025, 16, 12816, 281, 3195, 8689, 478, 8844, 691, 806, 470, 10172, 924, 670, 13793, 4202, 10073, 2048, 453, 16, 753, 478, 408, 470, 3640, 12832, 9520, 322, 16439, 1085, 23947, 18, 5043, 16, 294, 28036, 18254, 5693, 478, 1369, 1216, 1507, 349, 588, 902, 470, 2458, 11103, 2666, 475, 4106, 322, 31838, 18, 28462, 12319, 266, 18164, 33450, 7586, 14118, 1624, 367, 4373, 21576, 4696, 478, 1182, 363, 45259, 470, 4944, 5573, 397, 2347, 22985, 16, 374, 2291, 13022, 478, 8844, 691, 806, 470, 349, 5135, 17, 3697, 9520, 11116, 726, 2702, 2944, 18, 478, 2176, 3927, 16, 309, 36934, 282, 11078, 1045, 282, 35469, 30755, 294, 1299, 10761, 28992, 2301, 15505, 29338, 416, 13963, 289, 322, 8982, 1865, 332, 16, 515, 939, 18201, 16, 374, 656, 1907, 406, 282, 13670, 4330, 16, 3387, 16, 334, 22567, 9181, 277, 16, 282, 518, 3142, 8705, 282, 13670, 4330, 639, 4650, 435, 18, 7594, 16, 3279, 4726, 322, 7696, 4733, 8783, 42138, 8769, 16, 19547, 697, 2733, 9945, 30, 4759, 293, 5808, 519, 4700, 17, 299, 1965, 13703, 2533, 670, 519, 4700, 17, 299, 1965, 3694, 10829, 432, 289, 35687, 7620, 13963, 18, 459, 371, 12227, 294, 1498, 1320, 4136, 17, 299, 322, 6917, 30945, 2301, 8182, 1512, 18, 5257, 374, 827, 1085, 17, 299, 411, 1967, 478, 8844, 691, 806, 379, 526, 5363, 470, 19980, 373, 10449, 349, 5135, 17, 299, 9955, 329, 31441, 33450, 12319, 354, 670, 31662, 718, 1977, 613, 16, 502, 16, 47351, 1223, 16, 17221, 1815, 685, 373, 29127, 286, 281, 2236, 10687, 289, 3525, 33421, 290, 970, 16, 374, 2141, 8181, 371, 11209, 294, 4453, 33994, 861, 8778, 1116, 5067, 5573, 397, 2347, 2172, 1788, 322, 1174, 4050, 282, 4096, 16, 785, 1085, 17, 299, 371, 2565, 294, 1498, 18, 478, 6161, 1588, 19740, 519, 32764, 16, 502, 1513, 17794, 5216, 18, 5093, 4417, 16356, 31938, 522, 18, 4950, 282, 1078, 10449, 1494, 30, 478, 618, 694, 5045, 33091, 16, 753, 20831, 349, 588, 902, 35, 824, 1216, 307, 16, 1085, 694, 1574, 16, 753, 13449, 481, 1247, 910, 510, 1109, 492, 18, 478, 26760, 15351, 898, 1494, 30, 282, 3610, 17, 263, 3142, 904, 274, 607, 25585, 18339, 297, 16, 971, 26934, 25585, 22914, 933, 16, 367, 282, 2343, 10423, 17, 292, 619, 23331, 281, 27239, 9381, 6641, 414, 309, 10700, 2477, 289, 5843, 523, 18, 640, 2218, 2193, 16, 282, 1110, 6160, 16, 785, 9099, 15351, 9707, 35542, 6229, 1742, 4004, 16, 502, 481, 16672, 290, 970, 16, 374, 37972, 9597, 309, 6594, 7654, 7393, 18, 3923, 16, 1833, 47435, 1812, 2172, 30, 35202, 282, 6085, 18758, 16, 2472, 4251, 19827, 15072, 289, 19948, 600, 3259, 18, 5043, 16, 935, 21658, 281, 37819, 10325, 11949, 1867, 289, 935, 30699, 18, 2876, 16, 581, 16, 417, 9763, 16, 374, 13963, 1381, 6908, 27670, 16, 753, 1830, 373, 309, 6595, 17, 299, 5066, 46942, 349, 965, 18, 740, 281, 2107, 1963, 16, 4703, 19079, 28609, 1810, 17329, 12588, 18, 1178, 2388, 14719, 322, 11011, 282, 349, 23029, 466, 16, 502, 656, 371, 2445, 294, 4096, 2742, 6374, 17, 292, 5521, 16, 785, 4686, 336, 412, 1157, 25585, 1110, 16, 1085, 478, 1344, 453, 470, 11575, 16, 971, 745, 23720, 32316, 282, 34811, 289, 18667, 874, 16, 374, 4702, 8445, 16, 367, 971, 510, 25840, 6457, 1195, 50173, 44817, 2553, 910, 510, 9848, 478, 46088, 18, 8381, 470, 43078, 9275, 5348, 282, 40673, 289, 38846, 1919, 16, 12681, 12189, 25065, 14708, 394, 3740, 1492, 2, 1, 87, 1456, 81, 2448, 30, 18989, 414, 783, 2145, 289, 10676, 282, 4542, 13784, 334, 8144, 29611, 1033, 594, 8187, 16, 289, 537, 2197, 411, 1129, 322, 906, 4524, 1004, 13450, 3334, 13409, 1279, 22185, 554, 11692, 7225, 16, 2815, 5037, 23127, 1642, 36176, 28565, 18, 824, 505, 3163, 16, 10711, 2671, 17196, 30349, 23980, 1360, 4380, 18, 4530, 867, 16, 2734, 4419, 19267, 1175, 1629, 576, 16, 374, 3402, 28600, 8144, 12807, 3467, 24110, 46303, 16, 2671, 26258, 19215, 15466, 2206, 281, 18577, 289, 25146, 44117, 18, 31224, 30, 22681, 2145, 36176, 28565, 282, 4542, 1728, 11815, 567, 31255, 476, 282, 10666, 16, 2261, 4238, 16, 2815, 16, 374, 411, 27839, 8187, 16, 2671, 11504, 371, 31277, 19215, 24253, 334, 8144, 16, 537, 2197, 322, 906, 4524, 1004, 13450, 3334, 13409, 1279, 22185, 554, 11692, 7225, 16, 5923, 727, 4742, 18, 478, 4348, 4463, 5740, 1033, 594, 8187, 16, 289, 745, 322, 281, 3590, 537, 3441, 18, 19380, 2671, 17196, 30349, 23980, 1360, 4380, 910, 510, 11836, 13205, 5222, 18, 24140, 11673, 289, 5781, 6684, 334, 5083, 7875, 822, 13784, 19215, 24253, 8249, 445, 21554, 18, 996, 16, 14638, 29179, 4419, 7996, 24862, 33335, 3594, 4900, 39876, 31883, 1333, 1175, 4210, 16396, 680, 4848, 16, 374, 3402, 28600, 8144, 12807, 3467, 24110, 46303, 16, 2671, 26258, 29290, 2145, 289, 10676, 281, 18577, 289 ]
[ 25146, 44117, 16, 5923, 40568, 18, 478, 14237, 1502, 3334, 30029, 28600, 16, 14548, 1639, 14872, 29083, 28600, 16190, 4981, 16, 8103, 7961, 1007, 15809, 5447, 4568, 289, 18577, 4076, 14248, 910, 510, 2815, 16396, 680, 18, 817, 4725, 30, 1500, 5809, 16, 374, 13450, 1133, 3402, 28600, 12807, 3467, 5906, 8187, 16, 16672, 290, 12896, 5066, 387, 610, 382, 6684, 8144, 16, 2828, 4436, 27218, 23007, 18, 478, 13931, 1506, 6521, 24110, 17106, 3407, 30349, 18, 365, 7961, 763, 8187, 434, 10687, 898, 44593, 13450, 1133, 3674, 28600, 16, 385, 17, 2783, 25, 16, 385, 17, 4003, 16, 478, 983, 1285, 910, 478, 684, 7088, 1155, 470, 289, 478, 630, 507, 861, 889, 16672, 290, 7773, 14128, 21622, 309, 38257, 8144, 25275, 289, 7773, 387, 610, 582, 18133, 16, 2828, 4436, 13092, 23007, 910, 510, 11836, 12681, 18, 365, 4900, 4261, 636, 34259, 16, 374, 15809, 2145, 289, 697, 20853, 898, 19196, 309, 1817, 24816, 291, 282, 8144, 16, 282, 970, 2875, 309, 27762, 604, 272, 478, 1464, 686, 1155, 861, 2046, 24816, 276, 322, 19299, 18, 3791, 898, 7730, 1007, 15809, 334, 17188, 7868, 16, 961, 2944, 322, 26011, 18, 1606, 5823, 12860, 4451, 10197, 18, 478, 4408, 23810, 3761, 16, 9994, 2496, 27667, 4186, 289, 18133, 38773, 4257, 1003, 910, 510, 1109, 492, 18, 2949, 924, 16, 282, 19267, 6442, 16, 374, 15809, 309, 24436, 281, 1949, 11412, 6798, 17, 5350, 933, 1333, 2145, 411, 21623, 5420, 16, 453, 5855, 5447, 2206, 1195, 22379, 31103, 23342, 434, 5420, 16, 367, 1038, 43805, 8485, 6390, 4965, 288, 2594, 26811, 19410, 17983, 23017, 27418, 951, 17, 21, 1185, 5062, 444, 411, 3700, 35146, 17, 47621, 399, 18, 824, 3761, 5781, 7987, 16, 1143, 1223, 11673, 8187, 639, 22540, 299, 371, 25152, 27762, 604, 18, 2901, 1502, 4287, 3225, 13015, 475, 13436, 16, 2671, 11328, 334, 24816, 395, 478, 983, 271, 599, 265, 470, 473, 2692, 411, 1281, 934, 478, 822, 3859, 1395, 470, 473, 2783, 411, 1912, 13, 289, 478, 1464, 686, 1155, 470, 473, 2783, 411, 1912, 814, 365, 3948, 27762, 14850, 478, 789, 1042, 267, 470, 12810, 37827, 267, 639, 22540, 299, 2511, 411, 2261, 8187, 16, 515, 31441, 23082, 3225, 8945, 18, 3791, 15466, 783, 5514, 5656, 15566, 841, 44467, 24816, 478, 780, 501, 4141, 861, 1598, 17252, 8187, 22578, 2911, 17, 48471, 448, 5445, 8144, 12807, 3467, 2852, 18, 13984, 23992, 6198, 7868, 282, 22587, 29183, 906, 4803, 18, 824, 3761, 19267, 1175, 1624, 15466, 5643, 3402, 35396, 334, 20611, 395, 27357, 820, 651, 27003, 536, 48636, 5002, 288, 289, 9783, 287, 19638, 16, 988, 15904, 13450, 1133, 10007, 17, 418, 1453, 42036, 18, 21513, 10958, 1273, 27971, 15402, 24639, 1629, 576, 16, 374, 22154, 26865, 1421, 12375, 16602, 334, 8144, 18, 4824, 411, 1129, 14022, 937, 7730, 468, 10687, 334, 43445, 16, 961, 11864, 281, 38773, 26957, 12526, 442, 878, 2305, 274, 16, 2992, 1038, 2302, 2137, 28846, 8187, 334, 3541, 536, 48636, 4257, 8144, 18, 22358, 6029, 10663, 937, 25944, 5781, 28600, 16, 753, 24915, 874, 12681, 18014, 43645, 1333, 8144, 16, 5923, 391, 26448, 18, 2112, 13784, 5854, 20783, 2198, 7920, 44080, 3040, 3951, 31883, 1333, 2145, 510, 6118, 17, 33074, 3138, 47870, 13374, 26354, 17089, 1344, 4048, 19377, 848, 11836, 16, 374, 2733, 9945, 26513, 35136, 18137, 5969, 13450, 933, 6272, 42647, 6617, 309, 1269, 986, 4024, 18, 365, 502, 575, 808, 16, 334, 505, 3163, 16, 1421, 13450, 933, 11407, 16, 309, 961, 42119, 33904, 8187, 23899, 289, 26004, 18264, 2682, 16, 322, 12547, 1807, 7970, 6656, 8743, 289, 17353, 16, 309, 1639, 8641, 26371, 13450, 1880, 6663, 3878, 5472, 18, 824, 3163, 12130, 27243, 682, 1464, 16, 22578, 7392, 8187, 448, 5445, 28600, 8144, 4463, 5740, 2364, 4317, 8187, 16, 515, 481, 4243, 726, 1011, 924, 16, 428, 5975, 10772, 14248, 1333, 24253, 639, 2714, 1569, 334, 43445, 10687, 18, 4048, 19377, 848, 12698, 16, 374, 537, 2197, 30349, 23899, 289, 26004, 18264, 2682, 24253, 322, 906, 5157, 798, 12713, 13450, 933, 4076, 28600, 18, 365, 5329, 16, 334, 3163, 12130, 27243, 682, 1464, 22616, 2145, 16, 2926, 28600, 8144, 898, 478, 35912, 33842, 318, 567, 1209, 17347, 697, 25520, 8886, 861, 2, 1, 87, 1456, 81, 2448, 30, 3127, 14174, 43183, 27792, 718, 282, 3106, 20449, 282, 32712, 360, 4623, 28513, 18, 28865, 4276, 11417, 5342, 17, 19897, 712, 36897, 43335, 9184, 4797, 10575, 289, 8197, 38810, 1066, 18, 4329, 3394, 6005, 635, 1038, 6558, 3064, 18675, 1378, 7620, 28513, 18, 41790, 1559, 5216, 6558, 13059, 38345, 309, 11031, 11826, 779, 510, 282, 11500, 492, 840, 3411, 42871, 6149, 726, 282, 27596, 445, 18, 31224, 30, 1098, 12397, 2151, 636, 45554, 17, 19897, 5855, 4623, 4137, 41790, 10211, 1559, 5216, 6558, 13059, 38345, 282, 32712, 2407, 18, 49881, 9184, 7870, 16477, 473, 3127, 14174, 13, 12026, 27767, 20321, 309, 11073, 3405, 3972, 18, 36153, 11642, 27792, 2818, 14698, 309, 14108, 18362, 9184, 5434, 12056, 16, 367, 1038, 6558, 6406, 18675, 1378, 7620, 2151, 636, 45554, 17, 19897, 5855, 4623, 30, 6566, 360, 20479, 4028, 20449, 4623, 289, 3437, 334, 43532, 7546, 18, 478, 8407, 298, 3490, 6574, 552, 309, 8892, 4830, 4433, 4551, 28505, 21590, 7615, 22187, 27792, 2818, 9287, 16851, 9184, 4797, 2948, 541, 12464, 9184, 5434, 11131, 282, 4161, 547, 20352, 43903, 48604, 334, 12279, 30, 5343, 16, 36026, 46380, 31583, 16, 302, 18, 15173, 910, 510, 5130, 282, 5930, 2431, 36153, 18, 20346, 41790, 5216, 411, 41541, 309, 3059, 4830, 1175, 685, 47541, 282, 3106, 20449, 3370, 22984, 1360, 4623, 289, 13875, 282, 4329, 3394, 6005, 635, 6549, 541, 5019, 30584, 309, 10296, 18, 365, 11826, 1045, 41790, 840, 3411, 42871, 6149, 309, 4770, 778, 3059, 726, 282, 27596, 445, 18, 478, 1358, 2259, 282, 27596, 445, 8538, 309, 11031, 4830, 18, 1012, 11782, 16, 374, 282, 7044, 2504, 322, 282, 4349, 3411, 42871, 6149, 5270, 445, 35, 889, 1696, 322, 5689, 36251, 16, 481, 322, 4765, 17739, 779, 18, 8589, 8609, 400, 2200, 9241, 496, 16, 13076, 16, 374, 8637, 20579, 1882, 5752, 3338, 2954, 910, 510, 2815, 41790, 309, 27803, 547, 36076, 28513, 18, 41789, 6839, 3003, 290, 6574, 464, 282, 32712, 3405, 3972, 11834, 17838, 510, 481, 14864, 309, 5192, 3859, 23187, 7920, 4623, 18, 42793, 748, 13490, 9934, 282, 28138, 20095, 30929, 4623, 16, 1029, 12731, 1390, 309, 5421 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25146, 44117, 16, 5923, 40568, 18, 478, 14237, 1502, 3334, 30029, 28600, 16, 14548, 1639, 14872, 29083, 28600, 16190, 4981, 16, 8103, 7961, 1007, 15809, 5447, 4568, 289, 18577, 4076, 14248, 910, 510, 2815, 16396, 680, 18, 817, 4725, 30, 1500, 5809, 16, 374, 13450, 1133, 3402, 28600, 12807, 3467, 5906, 8187, 16, 16672, 290, 12896, 5066, 387, 610, 382, 6684, 8144, 16, 2828, 4436, 27218, 23007, 18, 478, 13931, 1506, 6521, 24110, 17106, 3407, 30349, 18, 365, 7961, 763, 8187, 434, 10687, 898, 44593, 13450, 1133, 3674, 28600, 16, 385, 17, 2783, 25, 16, 385, 17, 4003, 16, 478, 983, 1285, 910, 478, 684, 7088, 1155, 470, 289, 478, 630, 507, 861, 889, 16672, 290, 7773, 14128, 21622, 309, 38257, 8144, 25275, 289, 7773, 387, 610, 582, 18133, 16, 2828, 4436, 13092, 23007, 910, 510, 11836, 12681, 18, 365, 4900, 4261, 636, 34259, 16, 374, 15809, 2145, 289, 697, 20853, 898, 19196, 309, 1817, 24816, 291, 282, 8144, 16, 282, 970, 2875, 309, 27762, 604, 272, 478, 1464, 686, 1155, 861, 2046, 24816, 276, 322, 19299, 18, 3791, 898, 7730, 1007, 15809, 334, 17188, 7868, 16, 961, 2944, 322, 26011, 18, 1606, 5823, 12860, 4451, 10197, 18, 478, 4408, 23810, 3761, 16, 9994, 2496, 27667, 4186, 289, 18133, 38773, 4257, 1003, 910, 510, 1109, 492, 18, 2949, 924, 16, 282, 19267, 6442, 16, 374, 15809, 309, 24436, 281, 1949, 11412, 6798, 17, 5350, 933, 1333, 2145, 411, 21623, 5420, 16, 453, 5855, 5447, 2206, 1195, 22379, 31103, 23342, 434, 5420, 16, 367, 1038, 43805, 8485, 6390, 4965, 288, 2594, 26811, 19410, 17983, 23017, 27418, 951, 17, 21, 1185, 5062, 444, 411, 3700, 35146, 17, 47621, 399, 18, 824, 3761, 5781, 7987, 16, 1143, 1223, 11673, 8187, 639, 22540, 299, 371, 25152, 27762, 604, 18, 2901, 1502, 4287, 3225, 13015, 475, 13436, 16, 2671, 11328, 334, 24816, 395, 478, 983, 271, 599, 265, 470, 473, 2692, 411, 1281, 934, 478, 822, 3859, 1395, 470, 473, 2783, 411, 1912, 13, 289, 478, 1464, 686, 1155, 470, 473, 2783, 411, 1912, 814, 365, 3948, 27762, 14850, 478, 789, 1042, 267, 470, 12810, 37827, 267, 639, 22540, 299, 2511, 411, 2261, 8187, 16, 515, 31441, 23082, 3225, 8945, 18, 3791, 15466, 783, 5514, 5656, 15566, 841, 44467, 24816, 478, 780, 501, 4141, 861, 1598, 17252, 8187, 22578, 2911, 17, 48471, 448, 5445, 8144, 12807, 3467, 2852, 18, 13984, 23992, 6198, 7868, 282, 22587, 29183, 906, 4803, 18, 824, 3761, 19267, 1175, 1624, 15466, 5643, 3402, 35396, 334, 20611, 395, 27357, 820, 651, 27003, 536, 48636, 5002, 288, 289, 9783, 287, 19638, 16, 988, 15904, 13450, 1133, 10007, 17, 418, 1453, 42036, 18, 21513, 10958, 1273, 27971, 15402, 24639, 1629, 576, 16, 374, 22154, 26865, 1421, 12375, 16602, 334, 8144, 18, 4824, 411, 1129, 14022, 937, 7730, 468, 10687, 334, 43445, 16, 961, 11864, 281, 38773, 26957, 12526, 442, 878, 2305, 274, 16, 2992, 1038, 2302, 2137, 28846, 8187, 334, 3541, 536, 48636, 4257, 8144, 18, 22358, 6029, 10663, 937, 25944, 5781, 28600, 16, 753, 24915, 874, 12681, 18014, 43645, 1333, 8144, 16, 5923, 391, 26448, 18, 2112, 13784, 5854, 20783, 2198, 7920, 44080, 3040, 3951, 31883, 1333, 2145, 510, 6118, 17, 33074, 3138, 47870, 13374, 26354, 17089, 1344, 4048, 19377, 848, 11836, 16, 374, 2733, 9945, 26513, 35136, 18137, 5969, 13450, 933, 6272, 42647, 6617, 309, 1269, 986, 4024, 18, 365, 502, 575, 808, 16, 334, 505, 3163, 16, 1421, 13450, 933, 11407, 16, 309, 961, 42119, 33904, 8187, 23899, 289, 26004, 18264, 2682, 16, 322, 12547, 1807, 7970, 6656, 8743, 289, 17353, 16, 309, 1639, 8641, 26371, 13450, 1880, 6663, 3878, 5472, 18, 824, 3163, 12130, 27243, 682, 1464, 16, 22578, 7392, 8187, 448, 5445, 28600, 8144, 4463, 5740, 2364, 4317, 8187, 16, 515, 481, 4243, 726, 1011, 924, 16, 428, 5975, 10772, 14248, 1333, 24253, 639, 2714, 1569, 334, 43445, 10687, 18, 4048, 19377, 848, 12698, 16, 374, 537, 2197, 30349, 23899, 289, 26004, 18264, 2682, 24253, 322, 906, 5157, 798, 12713, 13450, 933, 4076, 28600, 18, 365, 5329, 16, 334, 3163, 12130, 27243, 682, 1464, 22616, 2145, 16, 2926, 28600, 8144, 898, 478, 35912, 33842, 318, 567, 1209, 17347, 697, 25520, 8886, 861, 2, 1, 87, 1456, 81, 2448, 30, 3127, 14174, 43183, 27792, 718, 282, 3106, 20449, 282, 32712, 360, 4623, 28513, 18, 28865, 4276, 11417, 5342, 17, 19897, 712, 36897, 43335, 9184, 4797, 10575, 289, 8197, 38810, 1066, 18, 4329, 3394, 6005, 635, 1038, 6558, 3064, 18675, 1378, 7620, 28513, 18, 41790, 1559, 5216, 6558, 13059, 38345, 309, 11031, 11826, 779, 510, 282, 11500, 492, 840, 3411, 42871, 6149, 726, 282, 27596, 445, 18, 31224, 30, 1098, 12397, 2151, 636, 45554, 17, 19897, 5855, 4623, 4137, 41790, 10211, 1559, 5216, 6558, 13059, 38345, 282, 32712, 2407, 18, 49881, 9184, 7870, 16477, 473, 3127, 14174, 13, 12026, 27767, 20321, 309, 11073, 3405, 3972, 18, 36153, 11642, 27792, 2818, 14698, 309, 14108, 18362, 9184, 5434, 12056, 16, 367, 1038, 6558, 6406, 18675, 1378, 7620, 2151, 636, 45554, 17, 19897, 5855, 4623, 30, 6566, 360, 20479, 4028, 20449, 4623, 289, 3437, 334, 43532, 7546, 18, 478, 8407, 298, 3490, 6574, 552, 309, 8892, 4830, 4433, 4551, 28505, 21590, 7615, 22187, 27792, 2818, 9287, 16851, 9184, 4797, 2948, 541, 12464, 9184, 5434, 11131, 282, 4161, 547, 20352, 43903, 48604, 334, 12279, 30, 5343, 16, 36026, 46380, 31583, 16, 302, 18, 15173, 910, 510, 5130, 282, 5930, 2431, 36153, 18, 20346, 41790, 5216, 411, 41541, 309, 3059, 4830, 1175, 685, 47541, 282, 3106, 20449, 3370, 22984, 1360, 4623, 289, 13875, 282, 4329, 3394, 6005, 635, 6549, 541, 5019, 30584, 309, 10296, 18, 365, 11826, 1045, 41790, 840, 3411, 42871, 6149, 309, 4770, 778, 3059, 726, 282, 27596, 445, 18, 478, 1358, 2259, 282, 27596, 445, 8538, 309, 11031, 4830, 18, 1012, 11782, 16, 374, 282, 7044, 2504, 322, 282, 4349, 3411, 42871, 6149, 5270, 445, 35, 889, 1696, 322, 5689, 36251, 16, 481, 322, 4765, 17739, 779, 18, 8589, 8609, 400, 2200, 9241, 496, 16, 13076, 16, 374, 8637, 20579, 1882, 5752, 3338, 2954, 910, 510, 2815, 41790, 309, 27803, 547, 36076, 28513, 18, 41789, 6839, 3003, 290, 6574, 464, 282, 32712, 3405, 3972, 11834, 17838, 510, 481, 14864, 309, 5192, 3859, 23187, 7920, 4623, 18, 42793, 748, 13490, 9934, 282, 28138, 20095, 30929, 4623, 16, 1029, 12731, 1390, 309, 5421 ]
[ 1119, 289, 1943, 2897, 4892, 3003, 18, 640, 9220, 2529, 3695, 3972, 5572, 11073, 587, 22696, 13490, 17838, 46213, 7544, 1054, 4869, 334, 5083, 20449, 309, 37965, 10296, 18, 2949, 15465, 17838, 17575, 4879, 32847, 1709, 401, 16, 282, 3106, 27306, 16249, 309, 3059, 4830, 1747, 42034, 6187, 2231, 23133, 773, 18, 13130, 8973, 9636, 488, 3141, 473, 40659, 441, 1846, 451, 934, 15689, 36378, 1767, 4210, 9867, 6235, 16, 46984, 13490, 17838, 9543, 5347, 2603, 268, 289, 11309, 16934, 17397, 24471, 20128, 18, 23613, 32847, 23150, 726, 11661, 16, 374, 567, 22519, 7556, 38435, 5019, 20671, 6574, 2087, 9636, 488, 5539, 18, 824, 505, 3163, 16, 14591, 2231, 8746, 13130, 5121, 478, 7592, 1757, 282, 4008, 861, 478, 732, 322, 7280, 505, 6574, 2959, 7556, 26940, 5022, 2152, 315, 17, 43690, 19659, 9640, 16, 515, 3003, 11660, 25773, 3298, 536, 1609, 4838, 18, 25967, 25972, 4505, 309, 25773, 910, 510, 1109, 32847, 23150, 18, 1286, 3972, 5037, 1175, 4137, 6732, 10218, 16, 374, 5019, 2106, 305, 1423, 37917, 309, 37965, 10296, 282, 11500, 11826, 779, 18, 1367, 803, 9805, 5222, 4848, 567, 808, 1728, 11815, 1188, 44795, 10185, 528, 10589, 282, 35469, 30755, 309, 46304, 16, 5389, 6238, 17911, 17, 22905, 20004, 12012, 7547, 22346, 540, 18, 1598, 1728, 5019, 30584, 9805, 5222, 3404, 26214, 16816, 877, 510, 505, 3781, 17, 12206, 2243, 50066, 3873, 34040, 1269, 445, 2043, 1166, 3586, 290, 18979, 9620, 3411, 42871, 6149, 309, 3059, 6677, 2407, 282, 11826, 1045, 18, 42904, 1166, 381, 803, 289, 2887, 9620, 510, 515, 492, 2552, 445, 25140, 360, 8264, 18, 640, 12540, 3781, 17, 19858, 2418, 3972, 4137, 6732, 3828, 764, 3441, 14535, 290, 3177, 50177, 763, 510, 309, 11031, 492, 10222, 322, 282, 3106, 20449, 360, 1851, 17, 3697, 10035, 4623, 16, 367, 37904, 280, 1384, 286, 3347, 18, 439, 481, 2862, 16, 374, 541, 8314, 975, 2003, 11028, 10762, 15350, 9404, 16, 367, 971, 11028, 7593, 6130, 40409, 2954, 282, 1423, 8156, 18, 1281, 3802, 290, 30554, 12570, 282, 4770, 680, 34042, 9321, 45436, 18907, 289, 4552, 11287, 29800, 5452, 19751, 18, 36901, 5019, 20671, 678, 37511, 2712, 428, 2678, 16738, 1086, 309, 10296, 478, 16010, 1209, 861, 967, 803, 3253, 5452, 19751, 2202, 3645, 16, 374, 10035, 4696, 329, 1710, 1003, 18, 6682, 924, 16, 678, 3542, 4140, 16, 374, 895, 10419, 360, 8465, 282, 27803, 416, 34042, 282, 4356, 4729, 23603, 18, 1012, 280, 4844, 319, 5452, 19751, 15069, 10080, 478, 1009, 13381, 1162, 30904, 861, 640, 10296, 282, 11500, 1038, 9733, 26184, 506, 30918, 4623, 478, 1358, 24504, 470, 18223, 17206, 41001, 18, 3405, 3972, 505, 6574, 2959, 906, 33004, 309, 9077, 547, 36076, 18, 2046, 9600, 481, 3003, 639, 7239, 49509, 3370, 22984, 282, 12500, 4145, 779, 18, 2949, 924, 16, 290, 37965, 21460, 4678, 4419, 46557, 4552, 11287, 15726, 38085, 16, 5222, 4623, 478, 2997, 16671, 20412, 470, 10261, 4926, 1633, 3340, 16, 5037, 15137, 20171, 334, 10268, 4211, 17, 43690, 18837, 478, 618, 1736, 345, 470, 22220, 1496, 8426, 1508, 523, 16, 17704, 4210, 2227, 34265, 18, 365, 10296, 4830, 1175, 15607, 12570, 8624, 22212, 18954, 718, 7920, 11658, 4059, 276, 6147, 289, 5222, 4202, 478, 12105, 50194, 470, 3720, 688, 809, 426, 3951, 16, 6187, 10712, 10035, 11385, 3063, 18159, 32251, 289, 12189, 282, 1767, 8752, 19250, 6070, 39791, 18, 2, 1, 87, 1456, 81, 2448, 30, 10245, 793, 1374, 31373, 14108, 1032, 17, 295, 10143, 3808, 286, 268, 962, 12152, 7541, 18, 45806, 755, 32376, 18416, 4938, 2039, 645, 1475, 2828, 4651, 773, 8649, 4871, 424, 7848, 478, 13931, 1594, 2728, 33669, 861, 4922, 20450, 16, 282, 1754, 14963, 3455, 12662, 19476, 289, 2261, 26370, 17, 14776, 293, 411, 11114, 2044, 9309, 16, 7312, 309, 1949, 39020, 510, 282, 1312, 1140, 10880, 289, 282, 5214, 19213, 16913, 18600, 18, 31224, 30, 43563, 13289, 6059, 16, 2302, 7069, 282, 9318, 3808, 286, 268, 962, 16, 44268, 1623, 8649, 4871, 16, 541, 12464, 2024, 282, 803, 1045, 685, 424, 521, 1957, 32376, 18416, 4938, 1624, 6187, 16986, 17638, 289, 23062, 22393, 7921, 282, 33288, 12995, 267, 344, 599, 18, 4342, 4248, 304, 7461, 2756, 20119, 478, 13931, 1594, 2728, 33669, 910, 8733, 29197, 755, 24763, 364, 1423, 26267, 622, 294, 590, 397, 6326, 954, 289, 5542, 5489, 35920, 26409, 4096, 18, 5043, 16, 411, 18446, 9588, 2697, 322, 3014, 16, 374, 4871, 14923, 286, 309, 4700, 17, 299, 3741, 39583, 18, 5165, 20986, 479, 317, 8676, 16, 367, 941, 8994, 263, 6714, 12672, 26370, 17, 46045, 429, 14903, 282, 4698, 3678, 37921, 8460, 432, 5313, 289, 32947, 1390, 1330, 38532, 16, 282, 1754, 3014, 15870, 475, 1033, 670, 2619, 2599, 11359, 5071, 700, 18, 18416, 4938, 25462, 3975, 1335, 10825, 2240, 1329, 322, 1559, 16, 453, 374, 5876, 1162, 20450, 28009, 37454, 309, 10536, 6555, 16, 6065, 668, 282, 7664, 4267, 19145, 18, 7330, 374, 13608, 5781, 12137, 5121, 1373, 1033, 1820, 536, 16, 828, 481, 5736, 953, 988, 17, 1796, 349, 17784, 18, 19380, 32585, 3808, 286, 268, 962, 11371, 282, 9878, 2468, 510, 453, 615, 5429, 16, 20479, 4367, 12490, 25776, 304, 7461, 16584, 14770, 18377, 12344, 547, 18, 640, 7256, 445, 4517, 1082, 541, 18112, 5115, 2458, 31718, 2497, 36194, 16, 8380, 3793, 1312, 1140, 780, 16913, 34153, 16, 289, 8149, 282, 5214, 19213, 16913, 18600, 18, 1895, 32328, 441, 424, 2000, 1251, 2872, 13284, 322, 334, 483, 392, 30, 282, 1312, 1140, 10880, 2349, 13139, 1472, 44526, 2301, 16471, 16, 367, 45583, 697, 5906, 38595, 309, 7827, 629, 272, 936, 18, 13630, 7775, 24170, 802, 867, 16, 374, 13731, 18571, 13629, 289, 282, 3941, 978, 7482, 30937, 290, 4096, 5653, 779, 16, 785, 8649, 4871, 3808, 286, 268, 962, 30646, 282, 2709, 938, 1734, 34317, 478, 1182, 2216, 783, 861, 25582, 24675, 20450, 16, 9705, 16, 322, 4116, 28509, 19055, 334, 1217, 552, 894, 272, 18, 450, 13345, 38532, 1251, 5512, 4517, 1082, 11730, 827, 289, 322, 334, 3022, 536, 16, 502, 334, 322, 939, 37286, 45563, 18, 824, 5833, 3538, 16, 7533, 416, 33365, 282, 970, 16, 2006, 8329, 653, 14079, 5823, 1122, 16, 367, 2393, 281, 2078, 16, 281, 34084, 322, 2492, 2609, 1812, 18, 981, 289, 3808, 286, 268, 433, 778, 479, 20986, 282, 7433, 30906, 15119, 8661, 484, 27012, 462, 16, 334, 8698, 2095, 282, 1110, 18880, 292, 16, 988 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1119, 289, 1943, 2897, 4892, 3003, 18, 640, 9220, 2529, 3695, 3972, 5572, 11073, 587, 22696, 13490, 17838, 46213, 7544, 1054, 4869, 334, 5083, 20449, 309, 37965, 10296, 18, 2949, 15465, 17838, 17575, 4879, 32847, 1709, 401, 16, 282, 3106, 27306, 16249, 309, 3059, 4830, 1747, 42034, 6187, 2231, 23133, 773, 18, 13130, 8973, 9636, 488, 3141, 473, 40659, 441, 1846, 451, 934, 15689, 36378, 1767, 4210, 9867, 6235, 16, 46984, 13490, 17838, 9543, 5347, 2603, 268, 289, 11309, 16934, 17397, 24471, 20128, 18, 23613, 32847, 23150, 726, 11661, 16, 374, 567, 22519, 7556, 38435, 5019, 20671, 6574, 2087, 9636, 488, 5539, 18, 824, 505, 3163, 16, 14591, 2231, 8746, 13130, 5121, 478, 7592, 1757, 282, 4008, 861, 478, 732, 322, 7280, 505, 6574, 2959, 7556, 26940, 5022, 2152, 315, 17, 43690, 19659, 9640, 16, 515, 3003, 11660, 25773, 3298, 536, 1609, 4838, 18, 25967, 25972, 4505, 309, 25773, 910, 510, 1109, 32847, 23150, 18, 1286, 3972, 5037, 1175, 4137, 6732, 10218, 16, 374, 5019, 2106, 305, 1423, 37917, 309, 37965, 10296, 282, 11500, 11826, 779, 18, 1367, 803, 9805, 5222, 4848, 567, 808, 1728, 11815, 1188, 44795, 10185, 528, 10589, 282, 35469, 30755, 309, 46304, 16, 5389, 6238, 17911, 17, 22905, 20004, 12012, 7547, 22346, 540, 18, 1598, 1728, 5019, 30584, 9805, 5222, 3404, 26214, 16816, 877, 510, 505, 3781, 17, 12206, 2243, 50066, 3873, 34040, 1269, 445, 2043, 1166, 3586, 290, 18979, 9620, 3411, 42871, 6149, 309, 3059, 6677, 2407, 282, 11826, 1045, 18, 42904, 1166, 381, 803, 289, 2887, 9620, 510, 515, 492, 2552, 445, 25140, 360, 8264, 18, 640, 12540, 3781, 17, 19858, 2418, 3972, 4137, 6732, 3828, 764, 3441, 14535, 290, 3177, 50177, 763, 510, 309, 11031, 492, 10222, 322, 282, 3106, 20449, 360, 1851, 17, 3697, 10035, 4623, 16, 367, 37904, 280, 1384, 286, 3347, 18, 439, 481, 2862, 16, 374, 541, 8314, 975, 2003, 11028, 10762, 15350, 9404, 16, 367, 971, 11028, 7593, 6130, 40409, 2954, 282, 1423, 8156, 18, 1281, 3802, 290, 30554, 12570, 282, 4770, 680, 34042, 9321, 45436, 18907, 289, 4552, 11287, 29800, 5452, 19751, 18, 36901, 5019, 20671, 678, 37511, 2712, 428, 2678, 16738, 1086, 309, 10296, 478, 16010, 1209, 861, 967, 803, 3253, 5452, 19751, 2202, 3645, 16, 374, 10035, 4696, 329, 1710, 1003, 18, 6682, 924, 16, 678, 3542, 4140, 16, 374, 895, 10419, 360, 8465, 282, 27803, 416, 34042, 282, 4356, 4729, 23603, 18, 1012, 280, 4844, 319, 5452, 19751, 15069, 10080, 478, 1009, 13381, 1162, 30904, 861, 640, 10296, 282, 11500, 1038, 9733, 26184, 506, 30918, 4623, 478, 1358, 24504, 470, 18223, 17206, 41001, 18, 3405, 3972, 505, 6574, 2959, 906, 33004, 309, 9077, 547, 36076, 18, 2046, 9600, 481, 3003, 639, 7239, 49509, 3370, 22984, 282, 12500, 4145, 779, 18, 2949, 924, 16, 290, 37965, 21460, 4678, 4419, 46557, 4552, 11287, 15726, 38085, 16, 5222, 4623, 478, 2997, 16671, 20412, 470, 10261, 4926, 1633, 3340, 16, 5037, 15137, 20171, 334, 10268, 4211, 17, 43690, 18837, 478, 618, 1736, 345, 470, 22220, 1496, 8426, 1508, 523, 16, 17704, 4210, 2227, 34265, 18, 365, 10296, 4830, 1175, 15607, 12570, 8624, 22212, 18954, 718, 7920, 11658, 4059, 276, 6147, 289, 5222, 4202, 478, 12105, 50194, 470, 3720, 688, 809, 426, 3951, 16, 6187, 10712, 10035, 11385, 3063, 18159, 32251, 289, 12189, 282, 1767, 8752, 19250, 6070, 39791, 18, 2, 1, 87, 1456, 81, 2448, 30, 10245, 793, 1374, 31373, 14108, 1032, 17, 295, 10143, 3808, 286, 268, 962, 12152, 7541, 18, 45806, 755, 32376, 18416, 4938, 2039, 645, 1475, 2828, 4651, 773, 8649, 4871, 424, 7848, 478, 13931, 1594, 2728, 33669, 861, 4922, 20450, 16, 282, 1754, 14963, 3455, 12662, 19476, 289, 2261, 26370, 17, 14776, 293, 411, 11114, 2044, 9309, 16, 7312, 309, 1949, 39020, 510, 282, 1312, 1140, 10880, 289, 282, 5214, 19213, 16913, 18600, 18, 31224, 30, 43563, 13289, 6059, 16, 2302, 7069, 282, 9318, 3808, 286, 268, 962, 16, 44268, 1623, 8649, 4871, 16, 541, 12464, 2024, 282, 803, 1045, 685, 424, 521, 1957, 32376, 18416, 4938, 1624, 6187, 16986, 17638, 289, 23062, 22393, 7921, 282, 33288, 12995, 267, 344, 599, 18, 4342, 4248, 304, 7461, 2756, 20119, 478, 13931, 1594, 2728, 33669, 910, 8733, 29197, 755, 24763, 364, 1423, 26267, 622, 294, 590, 397, 6326, 954, 289, 5542, 5489, 35920, 26409, 4096, 18, 5043, 16, 411, 18446, 9588, 2697, 322, 3014, 16, 374, 4871, 14923, 286, 309, 4700, 17, 299, 3741, 39583, 18, 5165, 20986, 479, 317, 8676, 16, 367, 941, 8994, 263, 6714, 12672, 26370, 17, 46045, 429, 14903, 282, 4698, 3678, 37921, 8460, 432, 5313, 289, 32947, 1390, 1330, 38532, 16, 282, 1754, 3014, 15870, 475, 1033, 670, 2619, 2599, 11359, 5071, 700, 18, 18416, 4938, 25462, 3975, 1335, 10825, 2240, 1329, 322, 1559, 16, 453, 374, 5876, 1162, 20450, 28009, 37454, 309, 10536, 6555, 16, 6065, 668, 282, 7664, 4267, 19145, 18, 7330, 374, 13608, 5781, 12137, 5121, 1373, 1033, 1820, 536, 16, 828, 481, 5736, 953, 988, 17, 1796, 349, 17784, 18, 19380, 32585, 3808, 286, 268, 962, 11371, 282, 9878, 2468, 510, 453, 615, 5429, 16, 20479, 4367, 12490, 25776, 304, 7461, 16584, 14770, 18377, 12344, 547, 18, 640, 7256, 445, 4517, 1082, 541, 18112, 5115, 2458, 31718, 2497, 36194, 16, 8380, 3793, 1312, 1140, 780, 16913, 34153, 16, 289, 8149, 282, 5214, 19213, 16913, 18600, 18, 1895, 32328, 441, 424, 2000, 1251, 2872, 13284, 322, 334, 483, 392, 30, 282, 1312, 1140, 10880, 2349, 13139, 1472, 44526, 2301, 16471, 16, 367, 45583, 697, 5906, 38595, 309, 7827, 629, 272, 936, 18, 13630, 7775, 24170, 802, 867, 16, 374, 13731, 18571, 13629, 289, 282, 3941, 978, 7482, 30937, 290, 4096, 5653, 779, 16, 785, 8649, 4871, 3808, 286, 268, 962, 30646, 282, 2709, 938, 1734, 34317, 478, 1182, 2216, 783, 861, 25582, 24675, 20450, 16, 9705, 16, 322, 4116, 28509, 19055, 334, 1217, 552, 894, 272, 18, 450, 13345, 38532, 1251, 5512, 4517, 1082, 11730, 827, 289, 322, 334, 3022, 536, 16, 502, 334, 322, 939, 37286, 45563, 18, 824, 5833, 3538, 16, 7533, 416, 33365, 282, 970, 16, 2006, 8329, 653, 14079, 5823, 1122, 16, 367, 2393, 281, 2078, 16, 281, 34084, 322, 2492, 2609, 1812, 18, 981, 289, 3808, 286, 268, 433, 778, 479, 20986, 282, 7433, 30906, 15119, 8661, 484, 27012, 462, 16, 334, 8698, 2095, 282, 1110, 18880, 292, 16, 988 ]
[ 41773, 839, 478, 353, 394, 470, 1008, 2626, 14426, 18, 30638, 16, 3909, 354, 6147, 16722, 44796, 2311, 10201, 11961, 11395, 267, 1505, 43401, 281, 23705, 1273, 7578, 16, 367, 505, 5548, 3826, 1510, 19753, 27869, 16, 30918, 34418, 13900, 852, 17, 9906, 17748, 528, 28236, 2467, 1624, 16292, 25289, 478, 13802, 548, 20242, 34612, 861, 459, 764, 3215, 13655, 4574, 12035, 2281, 546, 7840, 39032, 2101, 464, 415, 12754, 264, 424, 7848, 478, 22012, 2309, 11593, 309, 43329, 11100, 5889, 8964, 9304, 15106, 8526, 928, 1472, 6197, 20963, 5538, 18, 365, 7842, 575, 6160, 510, 1122, 16, 988, 478, 6781, 1594, 10967, 3282, 470, 3014, 8670, 23673, 10417, 37686, 3728, 16, 510, 31188, 29197, 37174, 19415, 3857, 28626, 433, 288, 1893, 411, 12244, 18, 15317, 5460, 16, 9705, 16, 322, 6411, 16, 2521, 4871, 4223, 7242, 3328, 18, 365, 1169, 2702, 8866, 432, 16, 41215, 904, 16, 581, 289, 281, 3275, 3570, 30775, 42341, 10660, 510, 7645, 1231, 339, 1830, 373, 20047, 668, 2276, 300, 379, 1066, 478, 15767, 273, 23899, 32001, 470, 6523, 613, 25965, 13171, 331, 6158, 288, 4692, 473, 7944, 428, 445, 2433, 45895, 434, 12211, 13, 670, 5626, 478, 672, 508, 375, 30, 11464, 14274, 470, 23818, 7070, 365, 4013, 275, 599, 274, 473, 264, 481, 2433, 3275, 2035, 3946, 16, 3387, 3253, 1372, 4144, 283, 1043, 354, 814, 43240, 24032, 36626, 33001, 18416, 296, 831, 294, 43766, 25632, 617, 16, 4492, 3214, 639, 373, 14513, 16, 374, 12025, 1924, 30902, 548, 1747, 22794, 1291, 1195, 449, 5925, 18, 2046, 8198, 2198, 697, 590, 546, 507, 16, 4213, 16, 322, 17583, 18, 365, 803, 4599, 29197, 755, 2826, 11531, 2195, 32947, 7733, 6569, 16, 428, 289, 371, 16135, 763, 47856, 1251, 39966, 31265, 16680, 289, 2536, 12764, 2236, 1472, 25777, 542, 18, 365, 6031, 19177, 10047, 2678, 23631, 282, 21311, 6003, 10421, 1924, 37858, 700, 510, 988, 35161, 16, 988, 43522, 4872, 506, 16, 988, 714, 383, 41309, 16, 367, 988, 1531, 47639, 18, 30638, 16, 4902, 545, 3228, 334, 6364, 9885, 25934, 552, 12398, 413, 5539, 5875, 1994, 1035, 14397, 324, 37423, 10398, 30042, 29288, 427, 764, 289, 13051, 539, 10242, 16, 367, 8762, 3412, 22142, 3222, 830, 455, 309, 5626, 360, 2759, 26370, 17, 31541, 478, 14237, 883, 3738, 470, 22444, 2712, 16, 3848, 1223, 16, 49362, 16, 4193, 8861, 282, 5705, 350, 18, 1303, 387, 1235, 604, 1736, 539, 10581, 4164, 282, 16913, 18600, 16, 515, 289, 282, 1312, 1140, 10880, 23184, 783, 19229, 24622, 7642, 18, 27688, 1427, 1687, 5626, 478, 1098, 1152, 315, 17, 288, 2688, 2837, 14287, 470, 31343, 36328, 382, 14816, 268, 3868, 2154, 1336, 281, 25289, 478, 822, 962, 1775, 1694, 470, 6533, 4782, 421, 913, 289, 608, 548, 15191, 293, 473, 288, 312, 7768, 22083, 16606, 1617, 8862, 309, 2392, 13468, 6582, 16, 4860, 1378, 411, 28229, 814, 1540, 280, 485, 321, 457, 18, 365, 18, 6258, 299, 301, 282, 1423, 2276, 300, 379, 1066, 478, 6115, 1155, 451, 2352, 1349, 470, 21190, 1421, 16885, 31056, 770, 8336, 473, 404, 44506, 16, 9121, 13, 281, 44056, 2661, 309, 10853, 16, 6342, 274, 16, 374, 481, 20014, 37423, 329, 13128, 18918, 28091, 668, 27051, 18, 439, 27273, 778, 1771, 5353, 1895, 313, 4172, 9592, 14712, 289, 11106, 599, 1018, 39250, 10661, 371, 19638, 1211, 13765, 19534, 282, 3505, 1271, 521, 613, 319, 309, 12025, 1901, 9915, 2165, 473, 36741, 478, 1295, 2594, 19629, 49889, 11523, 29124, 16, 827, 20450, 935, 289, 322, 3147, 11450, 1576, 6063, 5288, 14453, 499, 1734, 8540, 16, 502, 281, 6688, 19177, 718, 32552, 678, 21922, 1194, 977, 18, 2255, 36736, 448, 24264, 16, 537, 40233, 5277, 12899, 3808, 286, 268, 433, 933, 34401, 978, 18058, 322, 9650, 4283, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 2303, 15184, 451, 4871, 1059, 1913, 2772, 8430, 19104, 9611, 505, 1069, 22805, 18, 7384, 6157, 778, 7638, 17, 13522, 7947, 4033, 6838, 2815, 16, 374, 18658, 1183, 8874, 411, 5115, 16, 5029, 1079, 975, 9805, 478, 4298, 5937, 6469, 861, 28616, 15833, 16, 374, 1059, 1913, 2772, 8430, 2826, 6382, 10780, 3234, 1431, 354, 30, 492, 20489, 16171, 935, 309, 518, 14924, 8697, 16, 290, 1639, 4419, 17556, 1069, 22805, 5115, 18, 31224, 30, 677, 35290, 1183, 8874, 411, 2303, 15184, 434, 5115, 1059, 1913, 2772, 8430, 18, 1367, 803, 2815, 282, 10666, 28298, 778, 7638, 17, 13522, 7947, 4033, 6838, 18, 824, 505, 3163, 16, 4871, 47724, 281, 43326, 16, 289, 2391, 478, 23848, 28298, 1162, 860, 31693, 37467, 505, 861, 860, 31693, 16, 12352, 3308, 2261, 16, 14746, 9, 1059, 1913, 2772, 8430, 16, 282, 10666, 9321, 16, 374, 2917, 5115, 478, 267, 956, 2154, 1269, 24449, 12385, 16, 961, 7339, 42042, 910, 10211, 322, 3238, 1981, 289, 322, 14027, 21416, 1595, 2019, 411, 1059, 1913, 2772, 8430, 18, 4339, 8000, 16303, 477, 7755, 309, 19683, 14840, 1059, 1913, 2772, 8430, 1180, 633, 969, 2148, 863, 2426, 12877, 1180, 46080, 44, 473, 635, 5581, 17, 9165, 755, 13, 19340, 2334, 7022, 501, 455, 3110, 16, 374, 4700, 17, 3697, 17737, 290, 20228, 860, 31693, 670, 722, 478, 660, 1645, 470, 1149, 43, 55, 62, 411, 5115, 1003, 18, 478, 2176, 1118, 417, 2060, 16, 5510, 860, 31693, 13949, 282, 17229, 289, 722, 15442, 12378, 749, 9713, 910, 510, 2815, 7022, 501, 300, 18, 11819, 15184, 1059, 1913, 2772, 8430, 1943, 19760, 24515, 28397, 7043, 360, 7179, 8697, 289, 22351, 541, 20569, 282, 2553, 5538, 8697, 411, 967, 343, 436, 41384, 5791, 16, 367, 282, 22792, 16, 2628, 16, 411, 18924, 289, 28074, 18, 365, 17229, 1059, 1913, 2772, 8430, 281, 3077, 758, 690, 2608, 334, 2261, 16, 14746, 9, 25745, 20548, 1162, 1621, 49, 58, 1180, 633, 5436, 30327, 1180, 46080, 44, 16, 28298, 1162, 860, 31693, 16, 26356, 1162, 35194, 75, 6855, 5266, 16, 47922, 1162, 20834, 75, 5266, 16, 11277, 1270, 951, 1050, 633, 289, 12267, 778, 1075, 59, 41, 12858, 24329, 5436, 786, 5756, 657, 1180, 46080, 44, 18, 1540, 2074, 553, 4609, 3236, 4652, 282, 1409, 16, 29, 5096, 7307, 16, 515, 26557, 8802, 6605, 30010, 549, 5825, 16, 5938, 1754, 19024, 17356, 18814, 1715, 19124, 510, 519, 1912, 384, 3114, 5096, 7307, 18, 28616, 2382, 9529, 481, 18183, 2898, 309, 12965, 289, 14649, 18, 385, 19015, 31917, 46782, 282, 7573, 726, 11451, 10659, 2602, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 41773, 839, 478, 353, 394, 470, 1008, 2626, 14426, 18, 30638, 16, 3909, 354, 6147, 16722, 44796, 2311, 10201, 11961, 11395, 267, 1505, 43401, 281, 23705, 1273, 7578, 16, 367, 505, 5548, 3826, 1510, 19753, 27869, 16, 30918, 34418, 13900, 852, 17, 9906, 17748, 528, 28236, 2467, 1624, 16292, 25289, 478, 13802, 548, 20242, 34612, 861, 459, 764, 3215, 13655, 4574, 12035, 2281, 546, 7840, 39032, 2101, 464, 415, 12754, 264, 424, 7848, 478, 22012, 2309, 11593, 309, 43329, 11100, 5889, 8964, 9304, 15106, 8526, 928, 1472, 6197, 20963, 5538, 18, 365, 7842, 575, 6160, 510, 1122, 16, 988, 478, 6781, 1594, 10967, 3282, 470, 3014, 8670, 23673, 10417, 37686, 3728, 16, 510, 31188, 29197, 37174, 19415, 3857, 28626, 433, 288, 1893, 411, 12244, 18, 15317, 5460, 16, 9705, 16, 322, 6411, 16, 2521, 4871, 4223, 7242, 3328, 18, 365, 1169, 2702, 8866, 432, 16, 41215, 904, 16, 581, 289, 281, 3275, 3570, 30775, 42341, 10660, 510, 7645, 1231, 339, 1830, 373, 20047, 668, 2276, 300, 379, 1066, 478, 15767, 273, 23899, 32001, 470, 6523, 613, 25965, 13171, 331, 6158, 288, 4692, 473, 7944, 428, 445, 2433, 45895, 434, 12211, 13, 670, 5626, 478, 672, 508, 375, 30, 11464, 14274, 470, 23818, 7070, 365, 4013, 275, 599, 274, 473, 264, 481, 2433, 3275, 2035, 3946, 16, 3387, 3253, 1372, 4144, 283, 1043, 354, 814, 43240, 24032, 36626, 33001, 18416, 296, 831, 294, 43766, 25632, 617, 16, 4492, 3214, 639, 373, 14513, 16, 374, 12025, 1924, 30902, 548, 1747, 22794, 1291, 1195, 449, 5925, 18, 2046, 8198, 2198, 697, 590, 546, 507, 16, 4213, 16, 322, 17583, 18, 365, 803, 4599, 29197, 755, 2826, 11531, 2195, 32947, 7733, 6569, 16, 428, 289, 371, 16135, 763, 47856, 1251, 39966, 31265, 16680, 289, 2536, 12764, 2236, 1472, 25777, 542, 18, 365, 6031, 19177, 10047, 2678, 23631, 282, 21311, 6003, 10421, 1924, 37858, 700, 510, 988, 35161, 16, 988, 43522, 4872, 506, 16, 988, 714, 383, 41309, 16, 367, 988, 1531, 47639, 18, 30638, 16, 4902, 545, 3228, 334, 6364, 9885, 25934, 552, 12398, 413, 5539, 5875, 1994, 1035, 14397, 324, 37423, 10398, 30042, 29288, 427, 764, 289, 13051, 539, 10242, 16, 367, 8762, 3412, 22142, 3222, 830, 455, 309, 5626, 360, 2759, 26370, 17, 31541, 478, 14237, 883, 3738, 470, 22444, 2712, 16, 3848, 1223, 16, 49362, 16, 4193, 8861, 282, 5705, 350, 18, 1303, 387, 1235, 604, 1736, 539, 10581, 4164, 282, 16913, 18600, 16, 515, 289, 282, 1312, 1140, 10880, 23184, 783, 19229, 24622, 7642, 18, 27688, 1427, 1687, 5626, 478, 1098, 1152, 315, 17, 288, 2688, 2837, 14287, 470, 31343, 36328, 382, 14816, 268, 3868, 2154, 1336, 281, 25289, 478, 822, 962, 1775, 1694, 470, 6533, 4782, 421, 913, 289, 608, 548, 15191, 293, 473, 288, 312, 7768, 22083, 16606, 1617, 8862, 309, 2392, 13468, 6582, 16, 4860, 1378, 411, 28229, 814, 1540, 280, 485, 321, 457, 18, 365, 18, 6258, 299, 301, 282, 1423, 2276, 300, 379, 1066, 478, 6115, 1155, 451, 2352, 1349, 470, 21190, 1421, 16885, 31056, 770, 8336, 473, 404, 44506, 16, 9121, 13, 281, 44056, 2661, 309, 10853, 16, 6342, 274, 16, 374, 481, 20014, 37423, 329, 13128, 18918, 28091, 668, 27051, 18, 439, 27273, 778, 1771, 5353, 1895, 313, 4172, 9592, 14712, 289, 11106, 599, 1018, 39250, 10661, 371, 19638, 1211, 13765, 19534, 282, 3505, 1271, 521, 613, 319, 309, 12025, 1901, 9915, 2165, 473, 36741, 478, 1295, 2594, 19629, 49889, 11523, 29124, 16, 827, 20450, 935, 289, 322, 3147, 11450, 1576, 6063, 5288, 14453, 499, 1734, 8540, 16, 502, 281, 6688, 19177, 718, 32552, 678, 21922, 1194, 977, 18, 2255, 36736, 448, 24264, 16, 537, 40233, 5277, 12899, 3808, 286, 268, 433, 933, 34401, 978, 18058, 322, 9650, 4283, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 2303, 15184, 451, 4871, 1059, 1913, 2772, 8430, 19104, 9611, 505, 1069, 22805, 18, 7384, 6157, 778, 7638, 17, 13522, 7947, 4033, 6838, 2815, 16, 374, 18658, 1183, 8874, 411, 5115, 16, 5029, 1079, 975, 9805, 478, 4298, 5937, 6469, 861, 28616, 15833, 16, 374, 1059, 1913, 2772, 8430, 2826, 6382, 10780, 3234, 1431, 354, 30, 492, 20489, 16171, 935, 309, 518, 14924, 8697, 16, 290, 1639, 4419, 17556, 1069, 22805, 5115, 18, 31224, 30, 677, 35290, 1183, 8874, 411, 2303, 15184, 434, 5115, 1059, 1913, 2772, 8430, 18, 1367, 803, 2815, 282, 10666, 28298, 778, 7638, 17, 13522, 7947, 4033, 6838, 18, 824, 505, 3163, 16, 4871, 47724, 281, 43326, 16, 289, 2391, 478, 23848, 28298, 1162, 860, 31693, 37467, 505, 861, 860, 31693, 16, 12352, 3308, 2261, 16, 14746, 9, 1059, 1913, 2772, 8430, 16, 282, 10666, 9321, 16, 374, 2917, 5115, 478, 267, 956, 2154, 1269, 24449, 12385, 16, 961, 7339, 42042, 910, 10211, 322, 3238, 1981, 289, 322, 14027, 21416, 1595, 2019, 411, 1059, 1913, 2772, 8430, 18, 4339, 8000, 16303, 477, 7755, 309, 19683, 14840, 1059, 1913, 2772, 8430, 1180, 633, 969, 2148, 863, 2426, 12877, 1180, 46080, 44, 473, 635, 5581, 17, 9165, 755, 13, 19340, 2334, 7022, 501, 455, 3110, 16, 374, 4700, 17, 3697, 17737, 290, 20228, 860, 31693, 670, 722, 478, 660, 1645, 470, 1149, 43, 55, 62, 411, 5115, 1003, 18, 478, 2176, 1118, 417, 2060, 16, 5510, 860, 31693, 13949, 282, 17229, 289, 722, 15442, 12378, 749, 9713, 910, 510, 2815, 7022, 501, 300, 18, 11819, 15184, 1059, 1913, 2772, 8430, 1943, 19760, 24515, 28397, 7043, 360, 7179, 8697, 289, 22351, 541, 20569, 282, 2553, 5538, 8697, 411, 967, 343, 436, 41384, 5791, 16, 367, 282, 22792, 16, 2628, 16, 411, 18924, 289, 28074, 18, 365, 17229, 1059, 1913, 2772, 8430, 281, 3077, 758, 690, 2608, 334, 2261, 16, 14746, 9, 25745, 20548, 1162, 1621, 49, 58, 1180, 633, 5436, 30327, 1180, 46080, 44, 16, 28298, 1162, 860, 31693, 16, 26356, 1162, 35194, 75, 6855, 5266, 16, 47922, 1162, 20834, 75, 5266, 16, 11277, 1270, 951, 1050, 633, 289, 12267, 778, 1075, 59, 41, 12858, 24329, 5436, 786, 5756, 657, 1180, 46080, 44, 18, 1540, 2074, 553, 4609, 3236, 4652, 282, 1409, 16, 29, 5096, 7307, 16, 515, 26557, 8802, 6605, 30010, 549, 5825, 16, 5938, 1754, 19024, 17356, 18814, 1715, 19124, 510, 519, 1912, 384, 3114, 5096, 7307, 18, 28616, 2382, 9529, 481, 18183, 2898, 309, 12965, 289, 14649, 18, 385, 19015, 31917, 46782, 282, 7573, 726, 11451, 10659, 2602, 16 ]
[ 4722, 445, 1059, 1913, 2772, 8430, 1180, 633, 969, 2148, 863, 2426, 1576, 12143, 381, 697, 2119, 4840, 281, 2604, 17, 361, 309, 7847, 1205, 18, 365, 5344, 481, 9245, 281, 867, 16, 374, 1069, 22805, 519, 4319, 1326, 322, 6371, 46510, 8697, 282, 29665, 30, 281, 45914, 19793, 322, 895, 21377, 411, 17, 431, 10035, 49049, 16, 367, 5154, 24309, 427, 16, 1586, 1576, 12143, 16, 374, 35723, 14924, 16, 1055, 22863, 808, 18, 26468, 14482, 5432, 1038, 411, 17, 431, 14236, 9105, 290, 13651, 22016, 746, 510, 1717, 281, 40808, 531, 436, 41384, 45786, 2503, 2125, 19544, 9360, 27698, 8697, 18, 4033, 6838, 7117, 4725, 16, 374, 6134, 5115, 3857, 13981, 18, 2949, 924, 16, 27810, 24665, 622, 281, 24512, 289, 37587, 1330, 14649, 16, 374, 1038, 9245, 281, 7083, 49057, 23786, 18, 365, 11500, 2438, 3665, 16, 374, 6174, 2301, 37001, 5115, 7622, 7282, 24560, 12816, 12731, 7733, 37587, 617, 46782, 473, 8799, 646, 4017, 13, 1715, 19124, 18, 41632, 4651, 4871, 16, 35474, 5267, 1059, 1913, 2772, 8430, 12326, 16, 840, 7674, 20505, 519, 22256, 322, 360, 967, 343, 436, 41384, 5791, 16, 428, 30751, 16, 367, 360, 11277, 405, 17, 11142, 4640, 680, 8535, 18, 3791, 17930, 289, 290, 45022, 282, 1272, 4570, 16411, 14649, 18, 18658, 1183, 5073, 22829, 309, 9805, 4871, 478, 4298, 5937, 6469, 910, 1029, 281, 2887, 2742, 27322, 7265, 8972, 496, 1059, 1913, 2772, 8430, 18, 608, 7583, 14649, 1003, 1791, 281, 38817, 18, 4033, 6838, 4725, 16, 374, 3771, 34772, 475, 6335, 17359, 282, 7446, 478, 4298, 9406, 19459, 910, 282, 2114, 18658, 1183, 1038, 11660, 3455, 18, 478, 11227, 26090, 10924, 16660, 22847, 9080, 282, 4356, 8465, 282, 19862, 17229, 910, 510, 2815, 28298, 778, 7638, 17, 13522, 18, 478, 1295, 525, 25062, 4033, 26604, 4459, 9368, 282, 4698, 3678, 24630, 3051, 16, 510, 2548, 5037, 23061, 9526, 39132, 3623, 10121, 7651, 1970, 18, 510, 7384, 6157, 778, 7638, 10219, 16, 374, 1059, 1913, 2772, 8430, 428, 4871, 9600, 3164, 478, 960, 3422, 910, 289, 5216, 11435, 21890, 381, 803, 30, 481, 39556, 1078, 24393, 272, 309, 14267, 26090, 282, 43793, 2431, 20854, 473, 992, 563, 2780, 3111, 381, 803, 1011, 924, 16, 428, 28298, 1880, 7064, 6287, 12631, 12128, 1066, 13, 861, 1059, 1913, 2772, 8430, 16, 334, 3163, 7651, 22686, 16, 2826, 726, 6382, 10780, 3234, 1431, 354, 18, 478, 19563, 2696, 2303, 16, 290, 2114, 1069, 22805, 1059, 1913, 2772, 8430, 4011, 373, 7737, 21377, 16, 510, 1533, 5096, 34184, 281, 34384, 13104, 32163, 19792, 17, 822, 337, 288, 510, 289, 1500, 282, 697, 29665, 322, 10222, 16, 510, 10050, 7651, 1970, 18, 510, 24638, 363, 5416, 4263, 3670, 16, 374, 37736, 282, 2303, 15184, 263, 16, 282, 2114, 329, 1047, 840, 6457, 451, 11446, 16, 289, 2391, 41043, 2712, 29665, 786, 37, 21423, 52, 473, 22670, 507, 4752, 303, 509, 778, 2303, 15184, 16, 1029, 1943, 40222, 24638, 363, 289, 35140, 16, 289, 726, 411, 11752, 34384, 14508, 2303, 10222, 282, 2553, 22470, 6778, 861, 967, 16715, 23363, 20569, 8697, 282, 1059, 1913, 2772, 8430, 322, 1698, 953, 3168, 4633, 41476, 281, 2834, 5326, 16, 367, 371, 16715, 40429, 10902, 322, 19357, 5003, 309, 7955, 14649, 16, 12016, 12189, 18, 1714, 30333, 935, 322, 4443, 9457, 14649, 1059, 1913, 2772, 8430, 16, 3176, 583, 5809, 20569, 8697, 411, 22016, 41384, 5791, 16, 5273, 5037, 16446, 17628, 1180, 633, 7085, 565, 31202, 6070, 3138, 1313, 2931, 3715, 478, 4670, 490, 531, 436, 41384, 8697, 282, 7597, 8626, 3181, 1757, 6929, 1248, 35140, 17968, 1957, 18, 17369, 520, 1177, 4871, 34000, 1059, 1913, 2772, 8430, 510, 322, 4116, 4748, 861, 3863, 2303, 14481, 37098, 46339, 37712, 309, 13269, 26476, 16, 10050, 12189, 30, 33412, 8697, 282, 1241, 7608, 1212, 9804, 289, 505, 22656, 282, 7597, 12146, 16219, 16, 828, 16, 3057, 16, 33412, 289, 17924, 7434, 282, 16109, 8697, 281, 25088, 629, 14375, 18, 478, 34058, 24309, 427, 289, 24638, 363, 1698, 17899, 4789, 4287, 1595, 2303, 16219, 16, 828, 478, 18306, 470, 1624, 515, 371, 803, 9038, 1143, 9811, 16, 510, 2548, 3138, 1313, 2931, 18, 510, 2876, 541, 23271, 2303, 22016, 41384, 5791, 6066, 26430, 26126, 433, 718, 861, 2, 1, 87, 1456, 81, 2448, 30, 23944, 14337, 4347, 11942, 356, 4440, 779, 9271, 9496, 3229, 1223, 36894, 339, 7638, 9019, 343, 483, 289, 31780, 8677, 2389, 18, 2777, 1502, 448, 37716, 309, 697, 8011, 9010, 1463, 8660, 968, 18, 17558, 90, 674, 8816, 45536, 13469, 16, 39181, 769, 17, 37211, 289, 22970, 1913, 1658, 17, 25, 5684, 3655, 7940, 33848, 16, 449, 419, 295, 12560, 5464, 326, 43820, 786, 1095, 33114, 289, 15484, 27515, 1050, 2555, 28, 18, 3791, 282, 49650, 45341, 17035, 451, 39406, 34853, 863, 10530, 3292, 69, 16, 367, 1802, 1831, 6973, 1154, 1461, 10593, 894, 382, 969, 658, 2186, 83, 289, 1075, 4390, 18, 31224, 30, 677, 6588, 360, 13734, 718, 670, 45977, 266, 718, 16, 6883, 14337, 4347, 11942, 356, 35808, 6097, 14978, 8677, 266, 17, 343, 483, 16, 18763, 432, 31129, 14342, 1133, 289, 9818, 2257, 9332, 30810, 304, 32948, 18, 25582, 12101, 16, 26746, 17, 295, 6883, 14337, 4347, 11942, 356, 1559, 7117, 478, 671, 362, 686, 536, 470, 309, 5797, 26955, 360, 13257, 9019, 343, 483, 16, 2686, 30810, 304, 7421, 4930, 925, 1038, 15949, 37716, 16, 961, 3892, 530, 282, 16790, 726, 282, 13673, 18116, 18, 8444, 1130, 12265, 12316, 2039, 2155, 455, 282, 49650, 5554, 39181, 769, 17, 37211, 282, 25300, 263, 20361, 16, 10929, 2024, 2411, 49919, 282, 12938, 18, 365, 7063, 547, 17188, 5554, 8018, 266, 3437, 280, 551, 454, 769, 40666, 16, 3592, 4934, 309, 29205, 769, 17, 37211, 6705, 11358, 18, 30673, 20361, 769, 17, 24830, 3144, 7547, 23766, 574, 411, 1034, 24347, 4640, 354, 29569, 14033, 8138, 19008, 986, 651, 282, 7353, 360, 6603, 519, 7640, 986, 18, 824, 7413, 281, 580, 347, 547, 16, 20361, 2438, 1033, 18839, 11302, 30, 20255, 7994, 41626, 309, 15173, 6322, 18, 39019, 40251, 21570, 1347, 289, 31701, 24644, 11450, 5750, 3756, 769, 17, 37211, 16, 1029, 282, 4479, 1045, 31573, 8139, 449, 419, 295, 12560, 18, 1787, 4090, 20361, 22592, 1421, 19805, 1385, 39126, 289, 1272, 17934, 831, 18, 430, 16, 28, 17, 5700, 18336, 19805, 1505, 705, 1250, 4604, 1867, 1760, 26, 359, 18, 281, 18, 2988, 1939 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4722, 445, 1059, 1913, 2772, 8430, 1180, 633, 969, 2148, 863, 2426, 1576, 12143, 381, 697, 2119, 4840, 281, 2604, 17, 361, 309, 7847, 1205, 18, 365, 5344, 481, 9245, 281, 867, 16, 374, 1069, 22805, 519, 4319, 1326, 322, 6371, 46510, 8697, 282, 29665, 30, 281, 45914, 19793, 322, 895, 21377, 411, 17, 431, 10035, 49049, 16, 367, 5154, 24309, 427, 16, 1586, 1576, 12143, 16, 374, 35723, 14924, 16, 1055, 22863, 808, 18, 26468, 14482, 5432, 1038, 411, 17, 431, 14236, 9105, 290, 13651, 22016, 746, 510, 1717, 281, 40808, 531, 436, 41384, 45786, 2503, 2125, 19544, 9360, 27698, 8697, 18, 4033, 6838, 7117, 4725, 16, 374, 6134, 5115, 3857, 13981, 18, 2949, 924, 16, 27810, 24665, 622, 281, 24512, 289, 37587, 1330, 14649, 16, 374, 1038, 9245, 281, 7083, 49057, 23786, 18, 365, 11500, 2438, 3665, 16, 374, 6174, 2301, 37001, 5115, 7622, 7282, 24560, 12816, 12731, 7733, 37587, 617, 46782, 473, 8799, 646, 4017, 13, 1715, 19124, 18, 41632, 4651, 4871, 16, 35474, 5267, 1059, 1913, 2772, 8430, 12326, 16, 840, 7674, 20505, 519, 22256, 322, 360, 967, 343, 436, 41384, 5791, 16, 428, 30751, 16, 367, 360, 11277, 405, 17, 11142, 4640, 680, 8535, 18, 3791, 17930, 289, 290, 45022, 282, 1272, 4570, 16411, 14649, 18, 18658, 1183, 5073, 22829, 309, 9805, 4871, 478, 4298, 5937, 6469, 910, 1029, 281, 2887, 2742, 27322, 7265, 8972, 496, 1059, 1913, 2772, 8430, 18, 608, 7583, 14649, 1003, 1791, 281, 38817, 18, 4033, 6838, 4725, 16, 374, 3771, 34772, 475, 6335, 17359, 282, 7446, 478, 4298, 9406, 19459, 910, 282, 2114, 18658, 1183, 1038, 11660, 3455, 18, 478, 11227, 26090, 10924, 16660, 22847, 9080, 282, 4356, 8465, 282, 19862, 17229, 910, 510, 2815, 28298, 778, 7638, 17, 13522, 18, 478, 1295, 525, 25062, 4033, 26604, 4459, 9368, 282, 4698, 3678, 24630, 3051, 16, 510, 2548, 5037, 23061, 9526, 39132, 3623, 10121, 7651, 1970, 18, 510, 7384, 6157, 778, 7638, 10219, 16, 374, 1059, 1913, 2772, 8430, 428, 4871, 9600, 3164, 478, 960, 3422, 910, 289, 5216, 11435, 21890, 381, 803, 30, 481, 39556, 1078, 24393, 272, 309, 14267, 26090, 282, 43793, 2431, 20854, 473, 992, 563, 2780, 3111, 381, 803, 1011, 924, 16, 428, 28298, 1880, 7064, 6287, 12631, 12128, 1066, 13, 861, 1059, 1913, 2772, 8430, 16, 334, 3163, 7651, 22686, 16, 2826, 726, 6382, 10780, 3234, 1431, 354, 18, 478, 19563, 2696, 2303, 16, 290, 2114, 1069, 22805, 1059, 1913, 2772, 8430, 4011, 373, 7737, 21377, 16, 510, 1533, 5096, 34184, 281, 34384, 13104, 32163, 19792, 17, 822, 337, 288, 510, 289, 1500, 282, 697, 29665, 322, 10222, 16, 510, 10050, 7651, 1970, 18, 510, 24638, 363, 5416, 4263, 3670, 16, 374, 37736, 282, 2303, 15184, 263, 16, 282, 2114, 329, 1047, 840, 6457, 451, 11446, 16, 289, 2391, 41043, 2712, 29665, 786, 37, 21423, 52, 473, 22670, 507, 4752, 303, 509, 778, 2303, 15184, 16, 1029, 1943, 40222, 24638, 363, 289, 35140, 16, 289, 726, 411, 11752, 34384, 14508, 2303, 10222, 282, 2553, 22470, 6778, 861, 967, 16715, 23363, 20569, 8697, 282, 1059, 1913, 2772, 8430, 322, 1698, 953, 3168, 4633, 41476, 281, 2834, 5326, 16, 367, 371, 16715, 40429, 10902, 322, 19357, 5003, 309, 7955, 14649, 16, 12016, 12189, 18, 1714, 30333, 935, 322, 4443, 9457, 14649, 1059, 1913, 2772, 8430, 16, 3176, 583, 5809, 20569, 8697, 411, 22016, 41384, 5791, 16, 5273, 5037, 16446, 17628, 1180, 633, 7085, 565, 31202, 6070, 3138, 1313, 2931, 3715, 478, 4670, 490, 531, 436, 41384, 8697, 282, 7597, 8626, 3181, 1757, 6929, 1248, 35140, 17968, 1957, 18, 17369, 520, 1177, 4871, 34000, 1059, 1913, 2772, 8430, 510, 322, 4116, 4748, 861, 3863, 2303, 14481, 37098, 46339, 37712, 309, 13269, 26476, 16, 10050, 12189, 30, 33412, 8697, 282, 1241, 7608, 1212, 9804, 289, 505, 22656, 282, 7597, 12146, 16219, 16, 828, 16, 3057, 16, 33412, 289, 17924, 7434, 282, 16109, 8697, 281, 25088, 629, 14375, 18, 478, 34058, 24309, 427, 289, 24638, 363, 1698, 17899, 4789, 4287, 1595, 2303, 16219, 16, 828, 478, 18306, 470, 1624, 515, 371, 803, 9038, 1143, 9811, 16, 510, 2548, 3138, 1313, 2931, 18, 510, 2876, 541, 23271, 2303, 22016, 41384, 5791, 6066, 26430, 26126, 433, 718, 861, 2, 1, 87, 1456, 81, 2448, 30, 23944, 14337, 4347, 11942, 356, 4440, 779, 9271, 9496, 3229, 1223, 36894, 339, 7638, 9019, 343, 483, 289, 31780, 8677, 2389, 18, 2777, 1502, 448, 37716, 309, 697, 8011, 9010, 1463, 8660, 968, 18, 17558, 90, 674, 8816, 45536, 13469, 16, 39181, 769, 17, 37211, 289, 22970, 1913, 1658, 17, 25, 5684, 3655, 7940, 33848, 16, 449, 419, 295, 12560, 5464, 326, 43820, 786, 1095, 33114, 289, 15484, 27515, 1050, 2555, 28, 18, 3791, 282, 49650, 45341, 17035, 451, 39406, 34853, 863, 10530, 3292, 69, 16, 367, 1802, 1831, 6973, 1154, 1461, 10593, 894, 382, 969, 658, 2186, 83, 289, 1075, 4390, 18, 31224, 30, 677, 6588, 360, 13734, 718, 670, 45977, 266, 718, 16, 6883, 14337, 4347, 11942, 356, 35808, 6097, 14978, 8677, 266, 17, 343, 483, 16, 18763, 432, 31129, 14342, 1133, 289, 9818, 2257, 9332, 30810, 304, 32948, 18, 25582, 12101, 16, 26746, 17, 295, 6883, 14337, 4347, 11942, 356, 1559, 7117, 478, 671, 362, 686, 536, 470, 309, 5797, 26955, 360, 13257, 9019, 343, 483, 16, 2686, 30810, 304, 7421, 4930, 925, 1038, 15949, 37716, 16, 961, 3892, 530, 282, 16790, 726, 282, 13673, 18116, 18, 8444, 1130, 12265, 12316, 2039, 2155, 455, 282, 49650, 5554, 39181, 769, 17, 37211, 282, 25300, 263, 20361, 16, 10929, 2024, 2411, 49919, 282, 12938, 18, 365, 7063, 547, 17188, 5554, 8018, 266, 3437, 280, 551, 454, 769, 40666, 16, 3592, 4934, 309, 29205, 769, 17, 37211, 6705, 11358, 18, 30673, 20361, 769, 17, 24830, 3144, 7547, 23766, 574, 411, 1034, 24347, 4640, 354, 29569, 14033, 8138, 19008, 986, 651, 282, 7353, 360, 6603, 519, 7640, 986, 18, 824, 7413, 281, 580, 347, 547, 16, 20361, 2438, 1033, 18839, 11302, 30, 20255, 7994, 41626, 309, 15173, 6322, 18, 39019, 40251, 21570, 1347, 289, 31701, 24644, 11450, 5750, 3756, 769, 17, 37211, 16, 1029, 282, 4479, 1045, 31573, 8139, 449, 419, 295, 12560, 18, 1787, 4090, 20361, 22592, 1421, 19805, 1385, 39126, 289, 1272, 17934, 831, 18, 430, 16, 28, 17, 5700, 18336, 19805, 1505, 705, 1250, 4604, 1867, 1760, 26, 359, 18, 281, 18, 2988, 1939 ]
[ 24, 359, 18, 281, 2211, 18535, 491, 16, 21, 17, 5700, 24183, 17934, 831, 651, 30481, 359, 18, 281, 18, 2988, 1939, 24, 359, 18, 281, 2211, 367, 3818, 26031, 282, 12922, 582, 1623, 816, 16, 25, 17, 5700, 23079, 40819, 20498, 266, 16, 4590, 1815, 2555, 26, 359, 18, 281, 18, 365, 45946, 41542, 769, 17, 37211, 769, 765, 4828, 4617, 552, 484, 11334, 424, 38744, 3623, 18, 3791, 309, 35393, 12731, 1390, 18653, 10241, 282, 7044, 5018, 42504, 34853, 863, 10530, 3292, 69, 16, 1244, 2585, 16292, 1147, 4419, 282, 2145, 17558, 90, 674, 8816, 16229, 88, 18, 15761, 3852, 549, 18535, 40819, 9588, 7994, 16, 46556, 18150, 309, 6518, 1079, 1484, 519, 6459, 4017, 16, 14481, 9469, 359, 18, 281, 18, 1787, 13660, 382, 12609, 2999, 509, 265, 356, 432, 18933, 2632, 282, 10530, 3292, 69, 13717, 430, 16, 24, 17, 5700, 23079, 19805, 1742, 16604, 18, 2667, 3417, 4017, 19, 283, 39406, 27513, 4973, 349, 1658, 7264, 16, 367, 39547, 7872, 4896, 2261, 21, 4017, 19, 283, 18, 365, 7044, 39406, 451, 34853, 863, 840, 23090, 1032, 6894, 646, 7307, 18, 824, 36880, 7547, 23766, 1731, 16, 309, 10530, 3292, 69, 7239, 11777, 25241, 18, 8985, 22970, 1913, 1658, 17, 25, 1441, 840, 49396, 289, 282, 25300, 263, 3432, 300, 651, 5554, 1810, 4090, 20974, 17, 488, 19916, 7671, 8934, 6727, 5044, 1241, 2340, 3244, 11981, 309, 42047, 8275, 13798, 4440, 779, 18, 9822, 307, 3728, 4256, 280, 551, 451, 1658, 17, 25, 11428, 928, 20330, 345, 756, 12640, 4419, 580, 347, 392, 18, 3791, 282, 9878, 1925, 1035, 33848, 28406, 840, 26340, 289, 17558, 90, 674, 8816, 45536, 13469, 30, 442, 305, 283, 296, 4194, 35738, 282, 28272, 294, 580, 347, 392, 289, 2162, 4603, 915, 503, 1147, 29141, 4276, 9566, 3943, 83, 18, 403, 648, 9049, 43820, 786, 1095, 33114, 16, 43088, 309, 29205, 48759, 442, 305, 283, 296, 599, 343, 1180, 21764, 16, 6544, 294, 449, 419, 295, 1452, 877, 281, 16511, 1061, 11327, 6130, 1103, 3314, 334, 4547, 8290, 8974, 18, 3397, 786, 1095, 33114, 3619, 26208, 282, 10198, 478, 9412, 1081, 470, 786, 765, 3659, 75, 289, 5016, 394, 477, 33594, 758, 9666, 1082, 16, 367, 282, 14526, 653, 1437, 7134, 2926, 16, 994, 5261, 349, 26782, 16979, 16, 349, 9940, 6726, 20079, 35607, 382, 16, 367, 1038, 4937, 549, 773, 29621, 9996, 4767, 47315, 455, 651, 4461, 2554, 33595, 18, 3791, 6973, 2829, 12922, 343, 22601, 30, 282, 7044, 541, 786, 1095, 33114, 22592, 2846, 19805, 1385, 39126, 786, 55, 45, 24512, 360, 13435, 519, 36675, 359, 18, 281, 18, 289, 1421, 17934, 831, 16, 4604, 10307, 360, 39423, 519, 30481, 359, 18, 281, 2211, 18653, 10241, 282, 7044, 12731, 1390, 309, 42760, 18, 3739, 2059, 1739, 36705, 6883, 38981, 360, 43820, 1559, 1180, 21764, 282, 25300, 263, 2974, 312, 2292, 18, 8444, 15484, 27515, 1050, 22644, 6973, 4651, 442, 305, 283, 296, 4194, 2555, 28, 30, 282, 4542, 449, 419, 295, 37399, 5554, 3619, 3531, 26714, 872, 276, 289, 26029, 531, 43399, 16, 5471, 12171, 6034, 31701, 289, 37227, 4758, 19213, 18, 6831, 653, 1437, 850, 315, 2381, 549, 13751, 549, 31641, 289, 27488, 17, 16868, 380, 18, 14689, 22601, 2702, 2836, 30, 541, 15484, 27515, 1050, 2555, 28, 3471, 802, 2846, 19805, 1385, 289, 2846, 17934, 17321, 39126, 16, 24512, 360, 26856, 359, 18, 281, 18, 519, 1939, 23, 359, 18, 281, 18, 2839, 1532, 1162, 1802, 1831, 32763, 5481, 294, 6883, 512, 2818, 4347, 11942, 4681, 7572, 3741, 23087, 442, 305, 283, 296, 599, 523, 1075, 4390, 289, 969, 658, 2186, 83, 18, 2230, 18336, 10929, 1802, 1831, 1075, 4390, 26034, 11358, 16, 1611, 30246, 281, 6982, 779, 16, 19967, 1488, 5584, 2634, 8974, 18, 30284, 16, 3303, 4367, 16, 18372, 5936, 11981, 309, 8275, 322, 3255, 16952, 4440, 779, 18, 824, 7413, 281, 11563, 569, 2409, 16, 5554, 1559, 309, 1939, 6322, 39585, 16, 309, 2706, 6322, 22145, 289, 309, 2706, 6322, 4803, 16, 367, 19301, 15366, 416, 10528, 36701, 309, 1409, 699, 651, 519, 2706, 6695, 6322, 18, 3791, 40141, 27964, 680, 9835, 334, 35385, 1195, 3585, 8498, 18017, 7994, 18, 1075, 4390, 840, 9727, 4214, 430, 16, 4691, 17, 5700, 22495, 19805, 2509, 33095, 24512, 17911, 359, 18, 281, 18, 289, 430, 16, 24, 17, 5700, 22495, 16, 4590, 2854, 39889, 359, 18, 281, 2211, 367, 1038, 5512, 17934, 9551, 16, 24512, 23902, 289, 6374, 359, 18, 281, 18, 967, 803, 282, 6551, 1075, 4390, 1314, 15082, 802, 687, 281, 19805, 4697, 3811, 7771, 18, 36604, 353, 9793, 651, 4256, 17, 289, 7518, 38970, 40642, 4007, 837, 2988, 6566, 38970, 24040, 478, 27050, 766, 861, 403, 9747, 779, 19988, 2019, 309, 8275, 289, 4090, 11358, 18839, 9305, 1802, 1831, 969, 658, 2186, 83, 16, 14818, 309, 33921, 27964, 1212, 5814, 428, 1802, 1831, 860, 33759, 18, 985, 289, 1075, 4390, 16, 6584, 18372, 969, 658, 2186, 83, 840, 8712, 506, 282, 3437, 280, 551, 547, 289, 4256, 280, 551, 547, 25300, 263, 18, 985, 289, 7111, 862, 16, 5554, 12845, 29170, 30649, 430, 16, 20, 289, 430, 16, 22, 359, 16, 24512, 22291, 289, 25926, 359, 18, 281, 18, 8774, 18, 22481, 4347, 11942, 356, 282, 49650, 24595, 282, 11946, 541, 10910, 434, 20711, 18, 48300, 15119, 4660, 2625, 16, 374, 349, 808, 1810, 722, 4255, 530, 2364, 17427, 2634, 1135, 18, 2, 1, 87, 1456, 81, 2448, 30, 9865, 5934, 783, 5731, 34945, 16706, 2555, 9, 8990, 349, 1119, 18, 24397, 381, 1909, 322, 639, 726, 4317, 986, 18, 1540, 1246, 4607, 322, 24182, 282, 10471, 31473, 7341, 1437, 3145, 27987, 281, 16422, 289, 32214, 18, 5454, 16, 481, 6287, 3915, 7321, 334, 20311, 44973, 282, 10440, 16, 24549, 10033, 34450, 18, 31224, 30, 684, 1005, 14456, 38317, 23844, 11410, 6657, 5731, 34945, 349, 3441, 4281, 516, 580, 42962, 309, 38647, 509, 680, 21767, 46698, 310, 309, 4055, 5999, 48666, 26726, 381, 1166, 326, 36350, 4767, 1011, 17420, 290, 5009, 4840, 7898, 1801, 282, 2241, 289, 41079, 10940, 434, 13155, 6171, 334, 8872, 20454, 779, 18, 5585, 553, 1833, 15638, 3306, 519, 3939, 289, 286, 349, 19830, 16, 3131, 17204, 14231, 4518, 24, 816, 6654, 6957, 3763, 289, 286, 47568, 23, 16, 28, 5096, 814, 365, 4542, 4281, 8296, 5731, 34945, 2178, 383, 414, 1033, 828, 309, 2555, 7418, 519, 8268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24, 359, 18, 281, 2211, 18535, 491, 16, 21, 17, 5700, 24183, 17934, 831, 651, 30481, 359, 18, 281, 18, 2988, 1939, 24, 359, 18, 281, 2211, 367, 3818, 26031, 282, 12922, 582, 1623, 816, 16, 25, 17, 5700, 23079, 40819, 20498, 266, 16, 4590, 1815, 2555, 26, 359, 18, 281, 18, 365, 45946, 41542, 769, 17, 37211, 769, 765, 4828, 4617, 552, 484, 11334, 424, 38744, 3623, 18, 3791, 309, 35393, 12731, 1390, 18653, 10241, 282, 7044, 5018, 42504, 34853, 863, 10530, 3292, 69, 16, 1244, 2585, 16292, 1147, 4419, 282, 2145, 17558, 90, 674, 8816, 16229, 88, 18, 15761, 3852, 549, 18535, 40819, 9588, 7994, 16, 46556, 18150, 309, 6518, 1079, 1484, 519, 6459, 4017, 16, 14481, 9469, 359, 18, 281, 18, 1787, 13660, 382, 12609, 2999, 509, 265, 356, 432, 18933, 2632, 282, 10530, 3292, 69, 13717, 430, 16, 24, 17, 5700, 23079, 19805, 1742, 16604, 18, 2667, 3417, 4017, 19, 283, 39406, 27513, 4973, 349, 1658, 7264, 16, 367, 39547, 7872, 4896, 2261, 21, 4017, 19, 283, 18, 365, 7044, 39406, 451, 34853, 863, 840, 23090, 1032, 6894, 646, 7307, 18, 824, 36880, 7547, 23766, 1731, 16, 309, 10530, 3292, 69, 7239, 11777, 25241, 18, 8985, 22970, 1913, 1658, 17, 25, 1441, 840, 49396, 289, 282, 25300, 263, 3432, 300, 651, 5554, 1810, 4090, 20974, 17, 488, 19916, 7671, 8934, 6727, 5044, 1241, 2340, 3244, 11981, 309, 42047, 8275, 13798, 4440, 779, 18, 9822, 307, 3728, 4256, 280, 551, 451, 1658, 17, 25, 11428, 928, 20330, 345, 756, 12640, 4419, 580, 347, 392, 18, 3791, 282, 9878, 1925, 1035, 33848, 28406, 840, 26340, 289, 17558, 90, 674, 8816, 45536, 13469, 30, 442, 305, 283, 296, 4194, 35738, 282, 28272, 294, 580, 347, 392, 289, 2162, 4603, 915, 503, 1147, 29141, 4276, 9566, 3943, 83, 18, 403, 648, 9049, 43820, 786, 1095, 33114, 16, 43088, 309, 29205, 48759, 442, 305, 283, 296, 599, 343, 1180, 21764, 16, 6544, 294, 449, 419, 295, 1452, 877, 281, 16511, 1061, 11327, 6130, 1103, 3314, 334, 4547, 8290, 8974, 18, 3397, 786, 1095, 33114, 3619, 26208, 282, 10198, 478, 9412, 1081, 470, 786, 765, 3659, 75, 289, 5016, 394, 477, 33594, 758, 9666, 1082, 16, 367, 282, 14526, 653, 1437, 7134, 2926, 16, 994, 5261, 349, 26782, 16979, 16, 349, 9940, 6726, 20079, 35607, 382, 16, 367, 1038, 4937, 549, 773, 29621, 9996, 4767, 47315, 455, 651, 4461, 2554, 33595, 18, 3791, 6973, 2829, 12922, 343, 22601, 30, 282, 7044, 541, 786, 1095, 33114, 22592, 2846, 19805, 1385, 39126, 786, 55, 45, 24512, 360, 13435, 519, 36675, 359, 18, 281, 18, 289, 1421, 17934, 831, 16, 4604, 10307, 360, 39423, 519, 30481, 359, 18, 281, 2211, 18653, 10241, 282, 7044, 12731, 1390, 309, 42760, 18, 3739, 2059, 1739, 36705, 6883, 38981, 360, 43820, 1559, 1180, 21764, 282, 25300, 263, 2974, 312, 2292, 18, 8444, 15484, 27515, 1050, 22644, 6973, 4651, 442, 305, 283, 296, 4194, 2555, 28, 30, 282, 4542, 449, 419, 295, 37399, 5554, 3619, 3531, 26714, 872, 276, 289, 26029, 531, 43399, 16, 5471, 12171, 6034, 31701, 289, 37227, 4758, 19213, 18, 6831, 653, 1437, 850, 315, 2381, 549, 13751, 549, 31641, 289, 27488, 17, 16868, 380, 18, 14689, 22601, 2702, 2836, 30, 541, 15484, 27515, 1050, 2555, 28, 3471, 802, 2846, 19805, 1385, 289, 2846, 17934, 17321, 39126, 16, 24512, 360, 26856, 359, 18, 281, 18, 519, 1939, 23, 359, 18, 281, 18, 2839, 1532, 1162, 1802, 1831, 32763, 5481, 294, 6883, 512, 2818, 4347, 11942, 4681, 7572, 3741, 23087, 442, 305, 283, 296, 599, 523, 1075, 4390, 289, 969, 658, 2186, 83, 18, 2230, 18336, 10929, 1802, 1831, 1075, 4390, 26034, 11358, 16, 1611, 30246, 281, 6982, 779, 16, 19967, 1488, 5584, 2634, 8974, 18, 30284, 16, 3303, 4367, 16, 18372, 5936, 11981, 309, 8275, 322, 3255, 16952, 4440, 779, 18, 824, 7413, 281, 11563, 569, 2409, 16, 5554, 1559, 309, 1939, 6322, 39585, 16, 309, 2706, 6322, 22145, 289, 309, 2706, 6322, 4803, 16, 367, 19301, 15366, 416, 10528, 36701, 309, 1409, 699, 651, 519, 2706, 6695, 6322, 18, 3791, 40141, 27964, 680, 9835, 334, 35385, 1195, 3585, 8498, 18017, 7994, 18, 1075, 4390, 840, 9727, 4214, 430, 16, 4691, 17, 5700, 22495, 19805, 2509, 33095, 24512, 17911, 359, 18, 281, 18, 289, 430, 16, 24, 17, 5700, 22495, 16, 4590, 2854, 39889, 359, 18, 281, 2211, 367, 1038, 5512, 17934, 9551, 16, 24512, 23902, 289, 6374, 359, 18, 281, 18, 967, 803, 282, 6551, 1075, 4390, 1314, 15082, 802, 687, 281, 19805, 4697, 3811, 7771, 18, 36604, 353, 9793, 651, 4256, 17, 289, 7518, 38970, 40642, 4007, 837, 2988, 6566, 38970, 24040, 478, 27050, 766, 861, 403, 9747, 779, 19988, 2019, 309, 8275, 289, 4090, 11358, 18839, 9305, 1802, 1831, 969, 658, 2186, 83, 16, 14818, 309, 33921, 27964, 1212, 5814, 428, 1802, 1831, 860, 33759, 18, 985, 289, 1075, 4390, 16, 6584, 18372, 969, 658, 2186, 83, 840, 8712, 506, 282, 3437, 280, 551, 547, 289, 4256, 280, 551, 547, 25300, 263, 18, 985, 289, 7111, 862, 16, 5554, 12845, 29170, 30649, 430, 16, 20, 289, 430, 16, 22, 359, 16, 24512, 22291, 289, 25926, 359, 18, 281, 18, 8774, 18, 22481, 4347, 11942, 356, 282, 49650, 24595, 282, 11946, 541, 10910, 434, 20711, 18, 48300, 15119, 4660, 2625, 16, 374, 349, 808, 1810, 722, 4255, 530, 2364, 17427, 2634, 1135, 18, 2, 1, 87, 1456, 81, 2448, 30, 9865, 5934, 783, 5731, 34945, 16706, 2555, 9, 8990, 349, 1119, 18, 24397, 381, 1909, 322, 639, 726, 4317, 986, 18, 1540, 1246, 4607, 322, 24182, 282, 10471, 31473, 7341, 1437, 3145, 27987, 281, 16422, 289, 32214, 18, 5454, 16, 481, 6287, 3915, 7321, 334, 20311, 44973, 282, 10440, 16, 24549, 10033, 34450, 18, 31224, 30, 684, 1005, 14456, 38317, 23844, 11410, 6657, 5731, 34945, 349, 3441, 4281, 516, 580, 42962, 309, 38647, 509, 680, 21767, 46698, 310, 309, 4055, 5999, 48666, 26726, 381, 1166, 326, 36350, 4767, 1011, 17420, 290, 5009, 4840, 7898, 1801, 282, 2241, 289, 41079, 10940, 434, 13155, 6171, 334, 8872, 20454, 779, 18, 5585, 553, 1833, 15638, 3306, 519, 3939, 289, 286, 349, 19830, 16, 3131, 17204, 14231, 4518, 24, 816, 6654, 6957, 3763, 289, 286, 47568, 23, 16, 28, 5096, 814, 365, 4542, 4281, 8296, 5731, 34945, 2178, 383, 414, 1033, 828, 309, 2555, 7418, 519, 8268 ]
[ 289, 286, 510, 519, 4317, 17, 11884, 37158, 16, 2900, 13863, 38317, 8275, 322, 13639, 3064, 281, 4120, 17590, 779, 18, 365, 5731, 34945, 322, 13202, 4110, 4132, 5552, 13965, 8990, 2241, 18, 20346, 3785, 12998, 24614, 43422, 10940, 334, 2204, 30261, 13155, 9328, 519, 3417, 5096, 289, 286, 18, 967, 803, 764, 282, 11366, 3785, 3730, 8087, 3604, 334, 8872, 20454, 779, 11726, 282, 9802, 1939, 5096, 289, 286, 18, 24269, 5321, 334, 4648, 825, 13155, 9328, 7990, 281, 2555, 5096, 519, 13332, 5096, 289, 286, 18, 5731, 34945, 1038, 19352, 290, 5009, 4840, 1061, 2634, 7898, 1801, 510, 4424, 281, 13787, 779, 18, 8444, 12998, 24614, 10940, 448, 16174, 411, 17, 431, 46760, 20454, 26141, 334, 8872, 4183, 22652, 16, 19959, 10695, 917, 7234, 2145, 16, 5538, 289, 9163, 1888, 12466, 289, 16, 8774, 16, 35595, 22506, 309, 6518, 3033, 18, 824, 8872, 4183, 22652, 473, 275, 10440, 492, 20366, 2555, 4209, 13, 32029, 10929, 5731, 34945, 23205, 309, 4039, 16, 24, 9, 510, 519, 7640, 28, 16, 26, 5096, 289, 286, 18, 17645, 5862, 13155, 3041, 12076, 31932, 16, 21, 5096, 289, 286, 16, 367, 20809, 13155, 3041, 510, 2511, 28, 16, 24, 5096, 289, 286, 18, 16375, 675, 1185, 43841, 17, 19560, 4248, 3690, 17716, 20391, 16, 27, 5096, 289, 286, 510, 481, 309, 13531, 16, 26, 9, 3440, 828, 282, 7664, 4267, 19936, 6705, 779, 18, 824, 8872, 4183, 22652, 4018, 779, 3785, 1103, 455, 430, 16, 11559, 3763, 9172, 3690, 16, 374, 309, 13531, 16, 24, 9, 3440, 16, 828, 282, 6104, 1045, 18, 16375, 675, 24035, 27186, 3585, 19255, 309, 20274, 16, 24, 9, 510, 519, 4518, 16, 22, 5096, 289, 286, 18, 16394, 1103, 3314, 5036, 368, 36155, 281, 4183, 22652, 4440, 779, 309, 19595, 16, 21, 7418, 519, 1409, 6695, 2634, 18, 824, 47270, 2241, 16, 282, 4018, 1045, 10929, 9172, 3690, 2452, 530, 23256, 5096, 289, 286, 16, 670, 1488, 3763, 9172, 3690, 16, 481, 309, 11166, 16, 28, 9, 289, 12060, 16, 29, 9, 3440, 16, 828, 282, 6104, 1045, 18, 16375, 675, 27186, 7636, 1886, 309, 3695, 16, 25, 7418, 519, 34308, 5096, 289, 286, 473, 925, 309, 1281, 16, 22, 9, 510, 519, 1286, 16, 23, 3763, 15297, 814, 18197, 17241, 42286, 22822, 44973, 30121, 360, 29978, 24786, 477, 1963, 7796, 6271, 16, 13198, 16422, 289, 22350, 268, 35392, 680, 32214, 23759, 7169, 5717, 18, 365, 6104, 48311, 1045, 2241, 453, 575, 17273, 4110, 309, 31413, 10301, 289, 1007, 289, 36648, 19349, 282, 10440, 289, 27500, 476, 18, 824, 47270, 14971, 16, 36379, 21408, 1624, 1421, 14795, 18990, 9172, 3690, 282, 10440, 510, 35229, 16, 27078, 5789, 658, 289, 5731, 34945, 510, 334, 8872, 978, 779, 2245, 3461, 4652, 309, 1533, 3763, 9172, 3690, 3440, 16, 828, 282, 6104, 1045, 18, 824, 8872, 22652, 20809, 13155, 3041, 35229, 7990, 519, 3436, 16, 12770, 5096, 289, 286, 281, 1760, 16, 10821, 5096, 289, 286, 282, 5572, 19936, 26034, 779, 18, 17645, 9383, 11726, 41626, 309, 20391, 7418, 519, 1286, 16, 6862, 5096, 289, 286, 16, 481, 4803, 10940, 291, 46357, 16, 961, 26454, 11726, 309, 5066, 2123, 16, 26, 5096, 289, 286, 18, 824, 8872, 779, 35229, 15069, 3604, 2204, 12832, 11726, 309, 5066, 22839, 5096, 289, 286, 16, 10940, 46357, 510, 2511, 29, 5096, 289, 286, 18, 16375, 675, 27078, 5789, 658, 334, 8872, 22652, 3585, 19255, 309, 1286, 7418, 519, 430, 16, 28, 3940, 16, 25, 5096, 289, 286, 16, 2204, 9383, 11726, 18814, 281, 1061, 16, 26, 5096, 289, 286, 282, 6104, 1045, 519, 9690, 16, 26, 5096, 289, 286, 282, 5572, 19936, 16642, 779, 18, 10462, 5596, 11726, 19504, 14231, 1912, 16, 28, 5096, 289, 286, 1279, 13155, 6171, 282, 2555, 16, 24, 5096, 289, 286, 282, 7664, 4267, 19936, 6705, 779, 18, 740, 329, 35229, 912, 4889, 42386, 289, 49312, 30103, 16, 367, 27078, 5789, 658, 895, 40825, 13965, 10241, 9172, 3690, 33042, 18933, 2632, 289, 28943, 1440, 541, 8974, 18, 608, 5731, 34945, 3440, 11548, 40825, 33900, 282, 19536, 547, 6744, 763, 18, 478, 1358, 322, 2447, 12340, 40476, 2497, 37618, 334, 6523, 1703, 1611, 5970, 44973, 16, 510, 20374, 345, 928, 29846, 22155, 17918, 9531, 980, 41654, 10710, 18, 459, 447, 331, 996, 2707, 1159, 18, 510, 629, 3027, 3670, 16, 1623, 520, 481, 12793, 3915, 18, 640, 481, 21159, 808, 16, 515, 1055, 417, 322, 5829, 10361, 434, 7919, 46688, 8520, 16, 961, 3005, 373, 15409, 1519, 10929, 861, 478, 563, 2733, 3585, 8498, 19965, 329, 5731, 34945, 7006, 520, 8633, 19938, 910, 510, 20374, 345, 928, 39762, 6187, 19416, 83, 31428, 9531, 980, 41654, 282, 29329, 4048, 2649, 3874, 454, 447, 18, 824, 3163, 46357, 16, 5731, 34945, 2564, 373, 10315, 2888, 11726, 349, 2948, 1033, 27112, 816, 40, 17, 289, 1185, 30640, 17, 19560, 4248, 3690, 18, 478, 677, 5214, 4612, 5731, 34945, 2993, 953, 24148, 1634, 11548, 16, 753, 17899, 15966, 309, 1033, 27112, 26476, 910, 510, 5273, 2725, 345, 301, 1034, 944, 411, 1149, 674, 849, 654, 715, 7983, 1044, 517, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 11108, 301, 1279, 13634, 2279, 470, 8192, 334, 2222, 29588, 16, 1029, 16643, 11043, 1183, 4534, 18, 4707, 6809, 783, 16, 1586, 9733, 37833, 2511, 3612, 32362, 478, 21608, 31771, 3213, 718, 5738, 910, 40483, 12899, 4989, 266, 11919, 289, 4830, 9001, 9620, 16, 14447, 6886, 334, 37369, 2381, 510, 360, 20068, 680, 6394, 519, 35859, 10220, 3245, 48427, 401, 18, 26180, 11098, 40924, 1573, 2370, 16, 1978, 1453, 1576, 5326, 8296, 16, 26934, 2891, 4881, 2311, 18, 7287, 1183, 26851, 16, 374, 22342, 455, 26314, 19762, 18, 31224, 30, 18780, 6809, 783, 14447, 309, 18466, 16, 1978, 1545, 11043, 17003, 4534, 541, 478, 11108, 669, 1279, 13634, 2279, 910, 6517, 11581, 309, 2511, 3612, 18, 1367, 803, 282, 9937, 478, 46088, 18, 8381, 470, 3828, 1176, 411, 1576, 1643, 8296, 16, 477, 13711, 572, 39058, 1061, 3972, 7753, 27229, 523, 18, 824, 505, 3163, 16, 478, 11108, 301, 1279, 13634, 2279, 470, 8192, 334, 29588, 360, 20068, 680, 6394, 519, 35859, 10220, 3245, 48427, 401, 18, 22000, 1573, 2370, 39700, 309, 2418, 18, 646, 16, 367, 3191, 6367, 510, 309, 2511, 18, 646, 18, 478, 677, 1576, 582, 31285, 1939, 2634, 1135, 16, 515, 417, 3893, 16, 374, 10232, 4703, 1143, 1135, 910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 289, 286, 510, 519, 4317, 17, 11884, 37158, 16, 2900, 13863, 38317, 8275, 322, 13639, 3064, 281, 4120, 17590, 779, 18, 365, 5731, 34945, 322, 13202, 4110, 4132, 5552, 13965, 8990, 2241, 18, 20346, 3785, 12998, 24614, 43422, 10940, 334, 2204, 30261, 13155, 9328, 519, 3417, 5096, 289, 286, 18, 967, 803, 764, 282, 11366, 3785, 3730, 8087, 3604, 334, 8872, 20454, 779, 11726, 282, 9802, 1939, 5096, 289, 286, 18, 24269, 5321, 334, 4648, 825, 13155, 9328, 7990, 281, 2555, 5096, 519, 13332, 5096, 289, 286, 18, 5731, 34945, 1038, 19352, 290, 5009, 4840, 1061, 2634, 7898, 1801, 510, 4424, 281, 13787, 779, 18, 8444, 12998, 24614, 10940, 448, 16174, 411, 17, 431, 46760, 20454, 26141, 334, 8872, 4183, 22652, 16, 19959, 10695, 917, 7234, 2145, 16, 5538, 289, 9163, 1888, 12466, 289, 16, 8774, 16, 35595, 22506, 309, 6518, 3033, 18, 824, 8872, 4183, 22652, 473, 275, 10440, 492, 20366, 2555, 4209, 13, 32029, 10929, 5731, 34945, 23205, 309, 4039, 16, 24, 9, 510, 519, 7640, 28, 16, 26, 5096, 289, 286, 18, 17645, 5862, 13155, 3041, 12076, 31932, 16, 21, 5096, 289, 286, 16, 367, 20809, 13155, 3041, 510, 2511, 28, 16, 24, 5096, 289, 286, 18, 16375, 675, 1185, 43841, 17, 19560, 4248, 3690, 17716, 20391, 16, 27, 5096, 289, 286, 510, 481, 309, 13531, 16, 26, 9, 3440, 828, 282, 7664, 4267, 19936, 6705, 779, 18, 824, 8872, 4183, 22652, 4018, 779, 3785, 1103, 455, 430, 16, 11559, 3763, 9172, 3690, 16, 374, 309, 13531, 16, 24, 9, 3440, 16, 828, 282, 6104, 1045, 18, 16375, 675, 24035, 27186, 3585, 19255, 309, 20274, 16, 24, 9, 510, 519, 4518, 16, 22, 5096, 289, 286, 18, 16394, 1103, 3314, 5036, 368, 36155, 281, 4183, 22652, 4440, 779, 309, 19595, 16, 21, 7418, 519, 1409, 6695, 2634, 18, 824, 47270, 2241, 16, 282, 4018, 1045, 10929, 9172, 3690, 2452, 530, 23256, 5096, 289, 286, 16, 670, 1488, 3763, 9172, 3690, 16, 481, 309, 11166, 16, 28, 9, 289, 12060, 16, 29, 9, 3440, 16, 828, 282, 6104, 1045, 18, 16375, 675, 27186, 7636, 1886, 309, 3695, 16, 25, 7418, 519, 34308, 5096, 289, 286, 473, 925, 309, 1281, 16, 22, 9, 510, 519, 1286, 16, 23, 3763, 15297, 814, 18197, 17241, 42286, 22822, 44973, 30121, 360, 29978, 24786, 477, 1963, 7796, 6271, 16, 13198, 16422, 289, 22350, 268, 35392, 680, 32214, 23759, 7169, 5717, 18, 365, 6104, 48311, 1045, 2241, 453, 575, 17273, 4110, 309, 31413, 10301, 289, 1007, 289, 36648, 19349, 282, 10440, 289, 27500, 476, 18, 824, 47270, 14971, 16, 36379, 21408, 1624, 1421, 14795, 18990, 9172, 3690, 282, 10440, 510, 35229, 16, 27078, 5789, 658, 289, 5731, 34945, 510, 334, 8872, 978, 779, 2245, 3461, 4652, 309, 1533, 3763, 9172, 3690, 3440, 16, 828, 282, 6104, 1045, 18, 824, 8872, 22652, 20809, 13155, 3041, 35229, 7990, 519, 3436, 16, 12770, 5096, 289, 286, 281, 1760, 16, 10821, 5096, 289, 286, 282, 5572, 19936, 26034, 779, 18, 17645, 9383, 11726, 41626, 309, 20391, 7418, 519, 1286, 16, 6862, 5096, 289, 286, 16, 481, 4803, 10940, 291, 46357, 16, 961, 26454, 11726, 309, 5066, 2123, 16, 26, 5096, 289, 286, 18, 824, 8872, 779, 35229, 15069, 3604, 2204, 12832, 11726, 309, 5066, 22839, 5096, 289, 286, 16, 10940, 46357, 510, 2511, 29, 5096, 289, 286, 18, 16375, 675, 27078, 5789, 658, 334, 8872, 22652, 3585, 19255, 309, 1286, 7418, 519, 430, 16, 28, 3940, 16, 25, 5096, 289, 286, 16, 2204, 9383, 11726, 18814, 281, 1061, 16, 26, 5096, 289, 286, 282, 6104, 1045, 519, 9690, 16, 26, 5096, 289, 286, 282, 5572, 19936, 16642, 779, 18, 10462, 5596, 11726, 19504, 14231, 1912, 16, 28, 5096, 289, 286, 1279, 13155, 6171, 282, 2555, 16, 24, 5096, 289, 286, 282, 7664, 4267, 19936, 6705, 779, 18, 740, 329, 35229, 912, 4889, 42386, 289, 49312, 30103, 16, 367, 27078, 5789, 658, 895, 40825, 13965, 10241, 9172, 3690, 33042, 18933, 2632, 289, 28943, 1440, 541, 8974, 18, 608, 5731, 34945, 3440, 11548, 40825, 33900, 282, 19536, 547, 6744, 763, 18, 478, 1358, 322, 2447, 12340, 40476, 2497, 37618, 334, 6523, 1703, 1611, 5970, 44973, 16, 510, 20374, 345, 928, 29846, 22155, 17918, 9531, 980, 41654, 10710, 18, 459, 447, 331, 996, 2707, 1159, 18, 510, 629, 3027, 3670, 16, 1623, 520, 481, 12793, 3915, 18, 640, 481, 21159, 808, 16, 515, 1055, 417, 322, 5829, 10361, 434, 7919, 46688, 8520, 16, 961, 3005, 373, 15409, 1519, 10929, 861, 478, 563, 2733, 3585, 8498, 19965, 329, 5731, 34945, 7006, 520, 8633, 19938, 910, 510, 20374, 345, 928, 39762, 6187, 19416, 83, 31428, 9531, 980, 41654, 282, 29329, 4048, 2649, 3874, 454, 447, 18, 824, 3163, 46357, 16, 5731, 34945, 2564, 373, 10315, 2888, 11726, 349, 2948, 1033, 27112, 816, 40, 17, 289, 1185, 30640, 17, 19560, 4248, 3690, 18, 478, 677, 5214, 4612, 5731, 34945, 2993, 953, 24148, 1634, 11548, 16, 753, 17899, 15966, 309, 1033, 27112, 26476, 910, 510, 5273, 2725, 345, 301, 1034, 944, 411, 1149, 674, 849, 654, 715, 7983, 1044, 517, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 11108, 301, 1279, 13634, 2279, 470, 8192, 334, 2222, 29588, 16, 1029, 16643, 11043, 1183, 4534, 18, 4707, 6809, 783, 16, 1586, 9733, 37833, 2511, 3612, 32362, 478, 21608, 31771, 3213, 718, 5738, 910, 40483, 12899, 4989, 266, 11919, 289, 4830, 9001, 9620, 16, 14447, 6886, 334, 37369, 2381, 510, 360, 20068, 680, 6394, 519, 35859, 10220, 3245, 48427, 401, 18, 26180, 11098, 40924, 1573, 2370, 16, 1978, 1453, 1576, 5326, 8296, 16, 26934, 2891, 4881, 2311, 18, 7287, 1183, 26851, 16, 374, 22342, 455, 26314, 19762, 18, 31224, 30, 18780, 6809, 783, 14447, 309, 18466, 16, 1978, 1545, 11043, 17003, 4534, 541, 478, 11108, 669, 1279, 13634, 2279, 910, 6517, 11581, 309, 2511, 3612, 18, 1367, 803, 282, 9937, 478, 46088, 18, 8381, 470, 3828, 1176, 411, 1576, 1643, 8296, 16, 477, 13711, 572, 39058, 1061, 3972, 7753, 27229, 523, 18, 824, 505, 3163, 16, 478, 11108, 301, 1279, 13634, 2279, 470, 8192, 334, 29588, 360, 20068, 680, 6394, 519, 35859, 10220, 3245, 48427, 401, 18, 22000, 1573, 2370, 39700, 309, 2418, 18, 646, 16, 367, 3191, 6367, 510, 309, 2511, 18, 646, 18, 478, 677, 1576, 582, 31285, 1939, 2634, 1135, 16, 515, 417, 3893, 16, 374, 10232, 4703, 1143, 1135, 910 ]
[ 510, 1109, 27229, 523, 18, 42775, 2497, 2891, 17245, 2574, 1086, 38722, 16, 32479, 282, 13349, 2431, 18, 31186, 309, 3260, 31678, 1576, 1947, 16670, 1272, 11811, 5534, 30007, 281, 5251, 5325, 329, 6359, 16934, 309, 25588, 547, 9057, 554, 510, 360, 9887, 718, 24674, 670, 360, 47253, 6394, 18, 478, 1140, 8340, 9744, 281, 5876, 3334, 23536, 656, 1741, 475, 21332, 18, 1303, 1978, 1453, 3928, 12520, 40924, 898, 27529, 13689, 749, 17658, 4284, 18, 7287, 1183, 322, 9013, 4619, 309, 48822, 18, 1787, 813, 575, 639, 13842, 16, 753, 21982, 906, 22342, 4068, 289, 656, 3005, 6863, 477, 3319, 19167, 4455, 16, 3387, 329, 8296, 912, 24173, 5693, 18, 2876, 16, 16150, 19567, 20633, 647, 7059, 16, 656, 23867, 910, 510, 1109, 27229, 523, 18, 28186, 15352, 32331, 3623, 4534, 6096, 4809, 3690, 10824, 478, 46088, 18, 8381, 470, 17167, 6309, 282, 2574, 4543, 40924, 16, 13573, 294, 48619, 1624, 11848, 758, 7461, 353, 16, 961, 1747, 15961, 334, 4547, 10856, 282, 11084, 18, 48300, 15769, 26003, 371, 1262, 4892, 7032, 17281, 289, 14788, 4989, 266, 11919, 16, 1609, 29017, 349, 19048, 16, 367, 1038, 9565, 2822, 505, 4830, 18, 1787, 978, 745, 39555, 2511, 3612, 281, 29320, 2389, 4958, 2294, 16, 961, 27631, 1568, 18, 365, 31678, 23051, 16, 374, 5684, 31373, 16896, 1576, 1643, 309, 18466, 20068, 1162, 510, 48427, 401, 18, 478, 16563, 783, 2574, 8140, 18, 967, 26582, 1176, 411, 1576, 1643, 16, 7753, 27229, 523, 16, 492, 14900, 16896, 309, 26314, 47664, 1939, 2634, 1135, 2511, 3612, 281, 2511, 18, 646, 519, 2261, 18, 3161, 21014, 334, 29588, 360, 6319, 7385, 11507, 20720, 519, 35859, 48427, 401, 473, 404, 9940, 2135, 14936, 4139, 14274, 13, 910, 510, 3828, 4809, 3690, 18, 48300, 21038, 37833, 40483, 16934, 289, 6897, 22941, 1624, 2619, 828, 349, 1871, 5576, 1078, 17941, 309, 478, 333, 266, 9020, 3213, 718, 470, 4092, 496, 309, 33713, 1070, 2689, 2855, 5781, 2533, 289, 334, 1267, 2339, 1844, 5738, 5998, 43857, 16, 2470, 1587, 24552, 411, 17, 431, 44993, 18, 28505, 29813, 8448, 22805, 1038, 15032, 7146, 30352, 18, 35446, 840, 21600, 26581, 13547, 309, 33713, 1070, 5781, 33733, 30571, 2145, 18, 478, 5853, 345, 31771, 3213, 778, 1568, 470, 282, 4902, 17175, 289, 34014, 13636, 7788, 478, 8665, 1305, 13634, 2279, 861, 365, 31678, 5542, 10531, 16, 374, 282, 1576, 582, 8296, 5267, 8296, 322, 23362, 18, 5403, 3675, 17802, 17344, 309, 32957, 516, 26314, 478, 11108, 301, 8124, 470, 5876, 1162, 11043, 1183, 2574, 1086, 18889, 16, 48588, 1752, 309, 46025, 12497, 1232, 31741, 17421, 4534, 282, 11877, 16, 1760, 3972, 18, 365, 3198, 38561, 6393, 15814, 12128, 12231, 12233, 4286, 18473, 7557, 28167, 808, 289, 1756, 13811, 18, 1760, 3972, 309, 41368, 1231, 2127, 8417, 16, 334, 3761, 17344, 16, 6498, 603, 10588, 11989, 2364, 4256, 2634, 1135, 18, 824, 3761, 11552, 8231, 4534, 510, 2364, 17427, 1135, 16, 5259, 411, 1129, 898, 28384, 18, 37969, 50136, 2364, 3437, 3139, 309, 10848, 844, 42224, 547, 12504, 263, 18, 640, 5421, 1119, 43459, 5862, 2172, 17344, 309, 42889, 11073, 3508, 31372, 33462, 4586, 8340, 1664, 460, 519, 21294, 16, 367, 12010, 3953, 5873, 6958, 5925, 1069, 5613, 282, 8156, 9622, 8665, 623, 7069, 289, 334, 8752, 40277, 18, 6290, 1000, 319, 403, 563, 19889, 2450, 4872, 16, 25760, 756, 4749, 23512, 478, 21608, 31771, 3213, 718, 5738, 861, 48011, 4732, 5370, 1195, 478, 264, 6852, 342, 6945, 25672, 470, 2689, 4287, 1833, 1011, 924, 16, 428, 282, 3998, 3972, 31279, 2145, 5962, 478, 333, 266, 9020, 3213, 718, 910, 8922, 5171, 47237, 12435, 282, 4599, 1562, 16, 27966, 16, 14785, 432, 294, 3422, 40342, 1021, 6944, 41865, 46043, 11088, 9020, 3213, 718, 18, 740, 2450, 4872, 322, 3953, 8096, 1435, 7702, 2567, 575, 1078, 432, 13951, 282, 4599, 19874, 16, 23588, 21040, 282, 27063, 835, 11854, 18, 2123, 3972, 11285, 16934, 334, 12128, 30261, 31498, 289, 1087, 938, 574, 1016, 6455, 1038, 29184, 2689, 4287, 33713, 2666, 5781, 2533, 289, 14640, 649, 5998, 43857, 16, 8527, 20728, 19796, 2145, 18, 1591, 808, 20594, 5738, 478, 630, 41257, 11967, 470, 282, 48619, 329, 6359, 17281, 16040, 11919, 20452, 17786, 7053, 2466, 12592, 6464, 1279, 34516, 309, 33713, 1070, 16, 371, 803, 3888, 12592, 305, 4921, 898, 28384, 18, 996, 16, 667, 3972, 16, 567, 808, 4183, 19293, 35216, 16, 898, 28384, 2364, 2555, 6367, 8296, 411, 5953, 18, 365, 48619, 4871, 5738, 685, 18566, 1032, 2932, 1609, 1134, 3695, 3972, 18, 4199, 22941, 2180, 5650, 21161, 8501, 4016, 3972, 18, 4137, 6732, 14900, 505, 4518, 3972, 18, 14787, 1637, 309, 33713, 1070, 5781, 33733, 2689, 2855, 30943, 282, 3941, 430, 3612, 3734, 779, 18, 5333, 2175, 16, 2450, 4872, 16, 11031, 282, 2588, 282, 4440, 1045, 18474, 1269, 28923, 2497, 8296, 19762, 16, 282, 2343, 4018, 779, 22444, 6406, 8448, 16427, 322, 22033, 1855, 1617, 1269, 28923, 2497, 1664, 460, 519, 21294, 18, 2, 1, 87, 1456, 81, 2448, 30, 822, 1701, 27850, 1162, 478, 20181, 2796, 2750, 470, 11163, 6915, 8955, 282, 39566, 8267, 281, 478, 684, 686, 15599, 3497, 487, 320, 547, 910, 8337, 360, 308, 11759, 21541, 680, 478, 12003, 44145, 910, 1586, 4426, 8440, 623, 44022, 19768, 12275, 42100, 332, 282, 25857, 478, 1464, 24347, 4640, 266, 910, 309, 1421, 26654, 18, 24295, 39914, 478, 1464, 24347, 4640, 354, 470, 8973, 11659, 1604, 15441, 4223, 309, 4577, 309, 5953, 17, 295, 20537, 18, 31224, 30, 822, 1701, 27850, 1162, 478, 20181, 2796, 2750, 470, 1642, 322, 9253, 45300, 319, 478, 684, 686, 15599, 3497, 487, 320, 268, 910, 45957, 537, 2607, 668, 19311, 18, 23710, 467, 6088, 349, 39208, 18, 459, 827, 373, 322, 31696, 774, 382, 2314, 1328, 266, 27850, 1275, 35111, 18416, 2895, 49688, 8367, 1624, 502, 5957, 1011, 2411, 16596, 2595, 11287, 309, 47366, 7906, 435, 373, 2239, 30, 21, 16, 5198, 33123, 322, 15514, 555, 28253, 31255, 2334, 48072, 16, 664, 1277, 1081, 11216, 424, 34874, 888, 18, 365, 4356, 478, 8719, 432, 13685, 2347, 470, 6949, 289, 33615, 20550, 42594, 510, 17185, 9, 510, 13908, 5999, 1303, 3579, 542, 21166, 2466, 38162, 6001, 613, 757, 31052, 309, 1003, 32124, 14249, 2502, 1736, 2169, 778, 1624, 294, 5076, 10225, 373, 16703, 20367, 2985, 4151, 7342, 1175, 18, 3510, 282, 8267, 7561, 5538, 17, 11622, 281, 4629, 1082, 16, 294, 3279, 656 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 510, 1109, 27229, 523, 18, 42775, 2497, 2891, 17245, 2574, 1086, 38722, 16, 32479, 282, 13349, 2431, 18, 31186, 309, 3260, 31678, 1576, 1947, 16670, 1272, 11811, 5534, 30007, 281, 5251, 5325, 329, 6359, 16934, 309, 25588, 547, 9057, 554, 510, 360, 9887, 718, 24674, 670, 360, 47253, 6394, 18, 478, 1140, 8340, 9744, 281, 5876, 3334, 23536, 656, 1741, 475, 21332, 18, 1303, 1978, 1453, 3928, 12520, 40924, 898, 27529, 13689, 749, 17658, 4284, 18, 7287, 1183, 322, 9013, 4619, 309, 48822, 18, 1787, 813, 575, 639, 13842, 16, 753, 21982, 906, 22342, 4068, 289, 656, 3005, 6863, 477, 3319, 19167, 4455, 16, 3387, 329, 8296, 912, 24173, 5693, 18, 2876, 16, 16150, 19567, 20633, 647, 7059, 16, 656, 23867, 910, 510, 1109, 27229, 523, 18, 28186, 15352, 32331, 3623, 4534, 6096, 4809, 3690, 10824, 478, 46088, 18, 8381, 470, 17167, 6309, 282, 2574, 4543, 40924, 16, 13573, 294, 48619, 1624, 11848, 758, 7461, 353, 16, 961, 1747, 15961, 334, 4547, 10856, 282, 11084, 18, 48300, 15769, 26003, 371, 1262, 4892, 7032, 17281, 289, 14788, 4989, 266, 11919, 16, 1609, 29017, 349, 19048, 16, 367, 1038, 9565, 2822, 505, 4830, 18, 1787, 978, 745, 39555, 2511, 3612, 281, 29320, 2389, 4958, 2294, 16, 961, 27631, 1568, 18, 365, 31678, 23051, 16, 374, 5684, 31373, 16896, 1576, 1643, 309, 18466, 20068, 1162, 510, 48427, 401, 18, 478, 16563, 783, 2574, 8140, 18, 967, 26582, 1176, 411, 1576, 1643, 16, 7753, 27229, 523, 16, 492, 14900, 16896, 309, 26314, 47664, 1939, 2634, 1135, 2511, 3612, 281, 2511, 18, 646, 519, 2261, 18, 3161, 21014, 334, 29588, 360, 6319, 7385, 11507, 20720, 519, 35859, 48427, 401, 473, 404, 9940, 2135, 14936, 4139, 14274, 13, 910, 510, 3828, 4809, 3690, 18, 48300, 21038, 37833, 40483, 16934, 289, 6897, 22941, 1624, 2619, 828, 349, 1871, 5576, 1078, 17941, 309, 478, 333, 266, 9020, 3213, 718, 470, 4092, 496, 309, 33713, 1070, 2689, 2855, 5781, 2533, 289, 334, 1267, 2339, 1844, 5738, 5998, 43857, 16, 2470, 1587, 24552, 411, 17, 431, 44993, 18, 28505, 29813, 8448, 22805, 1038, 15032, 7146, 30352, 18, 35446, 840, 21600, 26581, 13547, 309, 33713, 1070, 5781, 33733, 30571, 2145, 18, 478, 5853, 345, 31771, 3213, 778, 1568, 470, 282, 4902, 17175, 289, 34014, 13636, 7788, 478, 8665, 1305, 13634, 2279, 861, 365, 31678, 5542, 10531, 16, 374, 282, 1576, 582, 8296, 5267, 8296, 322, 23362, 18, 5403, 3675, 17802, 17344, 309, 32957, 516, 26314, 478, 11108, 301, 8124, 470, 5876, 1162, 11043, 1183, 2574, 1086, 18889, 16, 48588, 1752, 309, 46025, 12497, 1232, 31741, 17421, 4534, 282, 11877, 16, 1760, 3972, 18, 365, 3198, 38561, 6393, 15814, 12128, 12231, 12233, 4286, 18473, 7557, 28167, 808, 289, 1756, 13811, 18, 1760, 3972, 309, 41368, 1231, 2127, 8417, 16, 334, 3761, 17344, 16, 6498, 603, 10588, 11989, 2364, 4256, 2634, 1135, 18, 824, 3761, 11552, 8231, 4534, 510, 2364, 17427, 1135, 16, 5259, 411, 1129, 898, 28384, 18, 37969, 50136, 2364, 3437, 3139, 309, 10848, 844, 42224, 547, 12504, 263, 18, 640, 5421, 1119, 43459, 5862, 2172, 17344, 309, 42889, 11073, 3508, 31372, 33462, 4586, 8340, 1664, 460, 519, 21294, 16, 367, 12010, 3953, 5873, 6958, 5925, 1069, 5613, 282, 8156, 9622, 8665, 623, 7069, 289, 334, 8752, 40277, 18, 6290, 1000, 319, 403, 563, 19889, 2450, 4872, 16, 25760, 756, 4749, 23512, 478, 21608, 31771, 3213, 718, 5738, 861, 48011, 4732, 5370, 1195, 478, 264, 6852, 342, 6945, 25672, 470, 2689, 4287, 1833, 1011, 924, 16, 428, 282, 3998, 3972, 31279, 2145, 5962, 478, 333, 266, 9020, 3213, 718, 910, 8922, 5171, 47237, 12435, 282, 4599, 1562, 16, 27966, 16, 14785, 432, 294, 3422, 40342, 1021, 6944, 41865, 46043, 11088, 9020, 3213, 718, 18, 740, 2450, 4872, 322, 3953, 8096, 1435, 7702, 2567, 575, 1078, 432, 13951, 282, 4599, 19874, 16, 23588, 21040, 282, 27063, 835, 11854, 18, 2123, 3972, 11285, 16934, 334, 12128, 30261, 31498, 289, 1087, 938, 574, 1016, 6455, 1038, 29184, 2689, 4287, 33713, 2666, 5781, 2533, 289, 14640, 649, 5998, 43857, 16, 8527, 20728, 19796, 2145, 18, 1591, 808, 20594, 5738, 478, 630, 41257, 11967, 470, 282, 48619, 329, 6359, 17281, 16040, 11919, 20452, 17786, 7053, 2466, 12592, 6464, 1279, 34516, 309, 33713, 1070, 16, 371, 803, 3888, 12592, 305, 4921, 898, 28384, 18, 996, 16, 667, 3972, 16, 567, 808, 4183, 19293, 35216, 16, 898, 28384, 2364, 2555, 6367, 8296, 411, 5953, 18, 365, 48619, 4871, 5738, 685, 18566, 1032, 2932, 1609, 1134, 3695, 3972, 18, 4199, 22941, 2180, 5650, 21161, 8501, 4016, 3972, 18, 4137, 6732, 14900, 505, 4518, 3972, 18, 14787, 1637, 309, 33713, 1070, 5781, 33733, 2689, 2855, 30943, 282, 3941, 430, 3612, 3734, 779, 18, 5333, 2175, 16, 2450, 4872, 16, 11031, 282, 2588, 282, 4440, 1045, 18474, 1269, 28923, 2497, 8296, 19762, 16, 282, 2343, 4018, 779, 22444, 6406, 8448, 16427, 322, 22033, 1855, 1617, 1269, 28923, 2497, 1664, 460, 519, 21294, 18, 2, 1, 87, 1456, 81, 2448, 30, 822, 1701, 27850, 1162, 478, 20181, 2796, 2750, 470, 11163, 6915, 8955, 282, 39566, 8267, 281, 478, 684, 686, 15599, 3497, 487, 320, 547, 910, 8337, 360, 308, 11759, 21541, 680, 478, 12003, 44145, 910, 1586, 4426, 8440, 623, 44022, 19768, 12275, 42100, 332, 282, 25857, 478, 1464, 24347, 4640, 266, 910, 309, 1421, 26654, 18, 24295, 39914, 478, 1464, 24347, 4640, 354, 470, 8973, 11659, 1604, 15441, 4223, 309, 4577, 309, 5953, 17, 295, 20537, 18, 31224, 30, 822, 1701, 27850, 1162, 478, 20181, 2796, 2750, 470, 1642, 322, 9253, 45300, 319, 478, 684, 686, 15599, 3497, 487, 320, 268, 910, 45957, 537, 2607, 668, 19311, 18, 23710, 467, 6088, 349, 39208, 18, 459, 827, 373, 322, 31696, 774, 382, 2314, 1328, 266, 27850, 1275, 35111, 18416, 2895, 49688, 8367, 1624, 502, 5957, 1011, 2411, 16596, 2595, 11287, 309, 47366, 7906, 435, 373, 2239, 30, 21, 16, 5198, 33123, 322, 15514, 555, 28253, 31255, 2334, 48072, 16, 664, 1277, 1081, 11216, 424, 34874, 888, 18, 365, 4356, 478, 8719, 432, 13685, 2347, 470, 6949, 289, 33615, 20550, 42594, 510, 17185, 9, 510, 13908, 5999, 1303, 3579, 542, 21166, 2466, 38162, 6001, 613, 757, 31052, 309, 1003, 32124, 14249, 2502, 1736, 2169, 778, 1624, 294, 5076, 10225, 373, 16703, 20367, 2985, 4151, 7342, 1175, 18, 3510, 282, 8267, 7561, 5538, 17, 11622, 281, 4629, 1082, 16, 294, 3279, 656 ]
[ 11596, 282, 3441, 9404, 16, 1717, 360, 1047, 840, 50137, 17632, 20889, 18, 32798, 9611, 16, 374, 289, 282, 10021, 750, 281, 15825, 48072, 29157, 1214, 354, 492, 840, 1038, 634, 2459, 16, 428, 282, 11084, 18, 1658, 17, 295, 5172, 17701, 45582, 282, 34874, 888, 281, 31811, 20010, 18, 10609, 310, 16, 35005, 281, 25094, 1593, 16, 309, 4055, 17, 295, 20537, 40971, 1737, 38317, 442, 1083, 10810, 44906, 848, 1241, 486, 342, 16, 1029, 685, 502, 928, 281, 5625, 36725, 1224, 21, 30, 20, 18, 403, 6095, 16, 282, 5572, 12643, 304, 11274, 582, 4966, 322, 17078, 414, 15364, 45895, 416, 22232, 281, 36894, 339, 22711, 25592, 18, 6290, 23511, 304, 745, 41173, 38330, 1134, 18, 1178, 11277, 3787, 24900, 3033, 478, 684, 686, 15599, 3497, 487, 4042, 470, 14458, 280, 3423, 19792, 5123, 322, 11576, 4335, 23291, 1011, 10687, 282, 32386, 6421, 16, 502, 282, 4096, 281, 6452, 3032, 768, 748, 9672, 3032, 4498, 7387, 290, 2571, 921, 2244, 510, 1472, 33973, 486, 40464, 7646, 360, 19349, 18, 5181, 16, 282, 6588, 360, 28253, 478, 20181, 2796, 2047, 910, 1029, 2512, 3424, 45582, 282, 35627, 16, 19792, 363, 24132, 1728, 567, 7422, 44056, 16, 7926, 743, 8999, 17192, 281, 7294, 1224, 21, 30, 21, 18, 967, 5068, 50172, 8955, 757, 18447, 1510, 309, 25283, 44022, 528, 1898, 800, 18, 459, 3424, 349, 8616, 6001, 613, 32026, 7360, 343, 7889, 18, 640, 566, 742, 17701, 17958, 5039, 403, 3200, 293, 281, 13470, 12233, 895, 4601, 1086, 309, 4179, 501, 468, 18, 1598, 17, 431, 29510, 32325, 1645, 39304, 3092, 2899, 360, 7618, 360, 478, 12003, 44145, 910, 1586, 42100, 332, 478, 1464, 24347, 4640, 266, 910, 309, 1421, 26654, 18, 403, 15695, 16, 282, 1034, 24347, 4640, 464, 639, 2319, 49242, 18, 5890, 309, 27596, 20537, 1439, 1353, 873, 2125, 898, 13761, 4024, 18, 4800, 6047, 778, 39207, 439, 1666, 286, 6140, 12548, 35800, 282, 10556, 668, 16, 50253, 19671, 521, 16, 515, 4226, 10687, 7236, 22447, 13403, 10650, 44022, 19768, 49184, 16, 1029, 45402, 25083, 3124, 334, 2560, 1616, 18, 459, 1373, 575, 15014, 13619, 414, 6763, 349, 4116, 26102, 5552, 6843, 294, 6175, 277, 18, 31275, 528, 645, 1458, 1011, 24863, 20548, 613, 37513, 8474, 837, 10271, 5077, 8999, 21755, 371, 5305, 3537, 28057, 1207, 1439, 1353, 1275, 18, 9967, 10242, 14497, 21861, 478, 1464, 24347, 4640, 354, 470, 9007, 350, 2022, 19768, 611, 16, 7926, 8694, 8999, 3121, 1011, 11475, 507, 2086, 6436, 6651, 282, 10556, 668, 18, 403, 2555, 17, 295, 20537, 4446, 2125, 898, 5245, 726, 281, 445, 5793, 282, 1272, 32657, 18, 19768, 611, 3424, 46296, 21090, 17, 45900, 451, 2083, 16, 25083, 4448, 411, 40293, 1762, 3430, 680, 18, 439, 2512, 282, 5703, 4176, 1731, 12679, 47487, 17701, 49536, 22361, 4790, 292, 1624, 497, 1668, 5229, 281, 17192, 39733, 41867, 8367, 281, 5500, 36725, 18, 832, 26008, 289, 749, 27580, 510, 33329, 25236, 478, 1464, 24347, 4640, 354, 470, 31275, 421, 19920, 331, 3619, 12376, 1993, 7529, 349, 5335, 6140, 296, 798, 334, 27901, 18, 9873, 18858, 31598, 519, 21842, 21166, 2497, 40467, 586, 2851, 807, 3451, 2581, 2602, 29869, 17192, 11090, 528, 3778, 292, 9906, 510, 11216, 6382, 2500, 3230, 7896, 2111, 318, 18, 23433, 21541, 873, 15681, 21528, 1519, 289, 567, 7422, 44056, 18, 1178, 281, 6320, 1683, 21472, 16772, 4654, 22361, 4790, 292, 28291, 16, 502, 1011, 10687, 19768, 12275, 16, 1029, 42530, 25214, 41311, 6421, 16, 774, 34544, 685, 4945, 37826, 510, 430, 30, 22, 18, 2667, 5251, 2009, 2595, 11287, 2948, 322, 20951, 18, 832, 3641, 50172, 289, 18447, 1510, 309, 5953, 17, 295, 20537, 47143, 8973, 11659, 1604, 15441, 18, 11333, 7036, 12815, 476, 600, 607, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 18569, 5306, 18, 2, 1, 87, 1456, 81, 2448, 30, 50, 12059, 18040, 53, 9013, 36089, 23371, 41754, 2381, 16, 47666, 360, 13553, 512, 309, 21767, 371, 3043, 4840, 11400, 10249, 18, 18847, 626, 5019, 25020, 4843, 4234, 16, 24, 3763, 16, 515, 978, 4726, 322, 8162, 30, 42557, 44963, 1617, 10068, 360, 13553, 512, 282, 4843, 34238, 3763, 18, 34821, 697, 13155, 3041, 764, 3230, 30, 281, 6175, 21490, 51, 3131, 17204, 10249, 5009, 5519, 309, 3425, 18, 31224, 30, 33929, 1162, 11052, 626, 31083, 18040, 53, 9013, 36089, 23371, 41754, 2381, 10249, 349, 10068, 16, 15018, 1453, 5842, 411, 17, 431, 15662, 48663, 368, 282, 2615, 1119, 4281, 1069, 5613, 16, 5301, 1273, 27971, 15402, 24639, 18, 2171, 1633, 33353, 320, 1133, 18911, 16, 961, 28003, 7670, 3317, 371, 3043, 4840, 11400, 8752, 5324, 309, 21767, 16, 44100, 4843, 34238, 3763, 18, 365, 4810, 16, 27539, 2724, 46043, 46039, 10068, 282, 4843, 6654, 3763, 31, 1715, 2388, 575, 10068, 289, 329, 45447, 37490, 12683, 1019, 6690, 16, 33353, 320, 1133, 15099, 45447, 1095, 11971, 289, 1770, 22471, 3005, 15529, 334, 4843, 2932, 3763, 18, 740, 31083, 18040, 53, 322, 5304, 14687, 3963, 477, 5022, 30, 12806, 5862, 10575, 42469, 541, 14687, 548, 281, 33353, 7923, 10249, 4896, 4843, 4234, 16, 24, 3763, 18, 3397, 11052, 626, 25599, 12520, 19134, 23371, 1974, 281, 18686, 14325, 334, 47342, 3477, 11293, 473, 55, 23004, 934, 1586, 30827, 8825, 15406, 371, 3043, 4840, 10249, 18, 6698, 318, 334, 6524, 2675, 31083, 18040, 53, 3696, 341, 282, 9937, 18, 1540, 1246, 4607, 289, 33353, 1952, 9474, 16506, 309, 12806, 4568, 6524, 2662, 18, 21102, 26446, 6187, 27539, 2724, 46043, 8566, 25033, 10249, 478, 28678, 1757, 3043, 9125, 309, 21767, 349, 2651, 722, 5901, 861, 2320, 3785, 9321, 4419, 16, 374, 840, 3836, 475, 1568, 448, 3427, 541, 7358, 23371, 18, 1540, 1246, 4607, 726, 30359, 4150, 6676, 1263, 265, 294, 10249, 16, 722, 477, 13711, 10091, 40948, 1312, 1285, 41899, 877, 1624, 2726, 16336, 21490, 51, 289, 14597, 18, 4663, 31439, 282, 7730, 763, 23082, 289, 18606, 3320, 15429, 18, 9822, 17990, 48663, 382, 282, 4542, 21490, 51, 10249, 14694, 294, 2222, 16, 374, 28910, 549, 580, 35073, 906, 12674, 798, 309, 2555, 1879, 16, 367, 21999, 23271, 322, 3005, 953, 24879, 318, 282, 3178, 4335, 3139, 30, 21421, 26726, 10073, 26581, 20432, 670, 13739, 8296, 16, 367, 697, 30403, 18069, 2919, 726, 334, 4310, 20456, 18, 403, 19790, 8752, 5324, 726, 8494, 8996, 2272, 8972, 354 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11596, 282, 3441, 9404, 16, 1717, 360, 1047, 840, 50137, 17632, 20889, 18, 32798, 9611, 16, 374, 289, 282, 10021, 750, 281, 15825, 48072, 29157, 1214, 354, 492, 840, 1038, 634, 2459, 16, 428, 282, 11084, 18, 1658, 17, 295, 5172, 17701, 45582, 282, 34874, 888, 281, 31811, 20010, 18, 10609, 310, 16, 35005, 281, 25094, 1593, 16, 309, 4055, 17, 295, 20537, 40971, 1737, 38317, 442, 1083, 10810, 44906, 848, 1241, 486, 342, 16, 1029, 685, 502, 928, 281, 5625, 36725, 1224, 21, 30, 20, 18, 403, 6095, 16, 282, 5572, 12643, 304, 11274, 582, 4966, 322, 17078, 414, 15364, 45895, 416, 22232, 281, 36894, 339, 22711, 25592, 18, 6290, 23511, 304, 745, 41173, 38330, 1134, 18, 1178, 11277, 3787, 24900, 3033, 478, 684, 686, 15599, 3497, 487, 4042, 470, 14458, 280, 3423, 19792, 5123, 322, 11576, 4335, 23291, 1011, 10687, 282, 32386, 6421, 16, 502, 282, 4096, 281, 6452, 3032, 768, 748, 9672, 3032, 4498, 7387, 290, 2571, 921, 2244, 510, 1472, 33973, 486, 40464, 7646, 360, 19349, 18, 5181, 16, 282, 6588, 360, 28253, 478, 20181, 2796, 2047, 910, 1029, 2512, 3424, 45582, 282, 35627, 16, 19792, 363, 24132, 1728, 567, 7422, 44056, 16, 7926, 743, 8999, 17192, 281, 7294, 1224, 21, 30, 21, 18, 967, 5068, 50172, 8955, 757, 18447, 1510, 309, 25283, 44022, 528, 1898, 800, 18, 459, 3424, 349, 8616, 6001, 613, 32026, 7360, 343, 7889, 18, 640, 566, 742, 17701, 17958, 5039, 403, 3200, 293, 281, 13470, 12233, 895, 4601, 1086, 309, 4179, 501, 468, 18, 1598, 17, 431, 29510, 32325, 1645, 39304, 3092, 2899, 360, 7618, 360, 478, 12003, 44145, 910, 1586, 42100, 332, 478, 1464, 24347, 4640, 266, 910, 309, 1421, 26654, 18, 403, 15695, 16, 282, 1034, 24347, 4640, 464, 639, 2319, 49242, 18, 5890, 309, 27596, 20537, 1439, 1353, 873, 2125, 898, 13761, 4024, 18, 4800, 6047, 778, 39207, 439, 1666, 286, 6140, 12548, 35800, 282, 10556, 668, 16, 50253, 19671, 521, 16, 515, 4226, 10687, 7236, 22447, 13403, 10650, 44022, 19768, 49184, 16, 1029, 45402, 25083, 3124, 334, 2560, 1616, 18, 459, 1373, 575, 15014, 13619, 414, 6763, 349, 4116, 26102, 5552, 6843, 294, 6175, 277, 18, 31275, 528, 645, 1458, 1011, 24863, 20548, 613, 37513, 8474, 837, 10271, 5077, 8999, 21755, 371, 5305, 3537, 28057, 1207, 1439, 1353, 1275, 18, 9967, 10242, 14497, 21861, 478, 1464, 24347, 4640, 354, 470, 9007, 350, 2022, 19768, 611, 16, 7926, 8694, 8999, 3121, 1011, 11475, 507, 2086, 6436, 6651, 282, 10556, 668, 18, 403, 2555, 17, 295, 20537, 4446, 2125, 898, 5245, 726, 281, 445, 5793, 282, 1272, 32657, 18, 19768, 611, 3424, 46296, 21090, 17, 45900, 451, 2083, 16, 25083, 4448, 411, 40293, 1762, 3430, 680, 18, 439, 2512, 282, 5703, 4176, 1731, 12679, 47487, 17701, 49536, 22361, 4790, 292, 1624, 497, 1668, 5229, 281, 17192, 39733, 41867, 8367, 281, 5500, 36725, 18, 832, 26008, 289, 749, 27580, 510, 33329, 25236, 478, 1464, 24347, 4640, 354, 470, 31275, 421, 19920, 331, 3619, 12376, 1993, 7529, 349, 5335, 6140, 296, 798, 334, 27901, 18, 9873, 18858, 31598, 519, 21842, 21166, 2497, 40467, 586, 2851, 807, 3451, 2581, 2602, 29869, 17192, 11090, 528, 3778, 292, 9906, 510, 11216, 6382, 2500, 3230, 7896, 2111, 318, 18, 23433, 21541, 873, 15681, 21528, 1519, 289, 567, 7422, 44056, 18, 1178, 281, 6320, 1683, 21472, 16772, 4654, 22361, 4790, 292, 28291, 16, 502, 1011, 10687, 19768, 12275, 16, 1029, 42530, 25214, 41311, 6421, 16, 774, 34544, 685, 4945, 37826, 510, 430, 30, 22, 18, 2667, 5251, 2009, 2595, 11287, 2948, 322, 20951, 18, 832, 3641, 50172, 289, 18447, 1510, 309, 5953, 17, 295, 20537, 47143, 8973, 11659, 1604, 15441, 18, 11333, 7036, 12815, 476, 600, 607, 16, 367, 1038, 14378, 289, 16842, 15676, 296, 343, 2553, 16, 14326, 16287, 289, 5510, 3541, 282, 44200, 26083, 942, 5298, 309, 7759, 18569, 5306, 18, 2, 1, 87, 1456, 81, 2448, 30, 50, 12059, 18040, 53, 9013, 36089, 23371, 41754, 2381, 16, 47666, 360, 13553, 512, 309, 21767, 371, 3043, 4840, 11400, 10249, 18, 18847, 626, 5019, 25020, 4843, 4234, 16, 24, 3763, 16, 515, 978, 4726, 322, 8162, 30, 42557, 44963, 1617, 10068, 360, 13553, 512, 282, 4843, 34238, 3763, 18, 34821, 697, 13155, 3041, 764, 3230, 30, 281, 6175, 21490, 51, 3131, 17204, 10249, 5009, 5519, 309, 3425, 18, 31224, 30, 33929, 1162, 11052, 626, 31083, 18040, 53, 9013, 36089, 23371, 41754, 2381, 10249, 349, 10068, 16, 15018, 1453, 5842, 411, 17, 431, 15662, 48663, 368, 282, 2615, 1119, 4281, 1069, 5613, 16, 5301, 1273, 27971, 15402, 24639, 18, 2171, 1633, 33353, 320, 1133, 18911, 16, 961, 28003, 7670, 3317, 371, 3043, 4840, 11400, 8752, 5324, 309, 21767, 16, 44100, 4843, 34238, 3763, 18, 365, 4810, 16, 27539, 2724, 46043, 46039, 10068, 282, 4843, 6654, 3763, 31, 1715, 2388, 575, 10068, 289, 329, 45447, 37490, 12683, 1019, 6690, 16, 33353, 320, 1133, 15099, 45447, 1095, 11971, 289, 1770, 22471, 3005, 15529, 334, 4843, 2932, 3763, 18, 740, 31083, 18040, 53, 322, 5304, 14687, 3963, 477, 5022, 30, 12806, 5862, 10575, 42469, 541, 14687, 548, 281, 33353, 7923, 10249, 4896, 4843, 4234, 16, 24, 3763, 18, 3397, 11052, 626, 25599, 12520, 19134, 23371, 1974, 281, 18686, 14325, 334, 47342, 3477, 11293, 473, 55, 23004, 934, 1586, 30827, 8825, 15406, 371, 3043, 4840, 10249, 18, 6698, 318, 334, 6524, 2675, 31083, 18040, 53, 3696, 341, 282, 9937, 18, 1540, 1246, 4607, 289, 33353, 1952, 9474, 16506, 309, 12806, 4568, 6524, 2662, 18, 21102, 26446, 6187, 27539, 2724, 46043, 8566, 25033, 10249, 478, 28678, 1757, 3043, 9125, 309, 21767, 349, 2651, 722, 5901, 861, 2320, 3785, 9321, 4419, 16, 374, 840, 3836, 475, 1568, 448, 3427, 541, 7358, 23371, 18, 1540, 1246, 4607, 726, 30359, 4150, 6676, 1263, 265, 294, 10249, 16, 722, 477, 13711, 10091, 40948, 1312, 1285, 41899, 877, 1624, 2726, 16336, 21490, 51, 289, 14597, 18, 4663, 31439, 282, 7730, 763, 23082, 289, 18606, 3320, 15429, 18, 9822, 17990, 48663, 382, 282, 4542, 21490, 51, 10249, 14694, 294, 2222, 16, 374, 28910, 549, 580, 35073, 906, 12674, 798, 309, 2555, 1879, 16, 367, 21999, 23271, 322, 3005, 953, 24879, 318, 282, 3178, 4335, 3139, 30, 21421, 26726, 10073, 26581, 20432, 670, 13739, 8296, 16, 367, 697, 30403, 18069, 2919, 726, 334, 4310, 20456, 18, 403, 19790, 8752, 5324, 726, 8494, 8996, 2272, 8972, 354 ]
[ 510, 6835, 17, 15900, 680, 10575, 1161, 42469, 473, 25691, 8000, 48076, 8992, 28355, 13, 510, 281, 23579, 18484, 43833, 46328, 10249, 309, 697, 20118, 18, 21490, 51, 10249, 15162, 1281, 3598, 30, 3785, 3043, 6915, 309, 21767, 1032, 6568, 16, 22, 3763, 11400, 334, 4843, 8081, 349, 10168, 18, 365, 6031, 4982, 15429, 12076, 4843, 3902, 5096, 16, 17111, 411, 10874, 7321, 282, 4843, 2479, 24, 5096, 18, 23710, 467, 549, 580, 35073, 17178, 18183, 1715, 309, 2287, 9, 510, 519, 4843, 9869, 16, 8365, 349, 19830, 16, 515, 309, 2513, 2376, 4281, 8379, 693, 925, 4843, 8081, 16, 7703, 349, 10168, 510, 1223, 309, 430, 9, 3230, 8990, 21462, 2514, 10910, 434, 15429, 18, 640, 9268, 23616, 23143, 8296, 10249, 23205, 309, 816, 16, 17819, 7418, 519, 4843, 4691, 16, 17133, 18, 385, 6175, 15429, 3131, 17204, 2241, 5009, 5519, 309, 9817, 5999, 4756, 6187, 24679, 17, 2561, 5967, 11131, 478, 563, 10202, 8666, 470, 3720, 5154, 17088, 3153, 478, 46088, 18, 8381, 910, 374, 309, 21490, 51, 8752, 5324, 18220, 20943, 1738, 20251, 478, 918, 5946, 46802, 470, 289, 7072, 11400, 10249, 840, 478, 11235, 27987, 282, 2580, 5638, 416, 470, 510, 519, 4843, 4691, 349, 430, 26314, 18, 478, 1358, 3684, 16, 374, 14705, 448, 42557, 478, 12586, 9714, 470, 8296, 687, 1548, 16, 374, 481, 8296, 10249, 910, 510, 2548, 41330, 1234, 527, 70, 14320, 19209, 3551, 283, 842, 18, 18847, 452, 1406, 41330, 411, 18735, 527, 10741, 5436, 10710, 48521, 19432, 12016, 16, 374, 8296, 10249, 5575, 414, 15513, 416, 8990, 687, 282, 3998, 4281, 16, 367, 2512, 697, 6134, 49622, 850, 5279, 18, 1253, 5273, 16, 374, 6295, 840, 687, 26780, 5170, 18, 20409, 30506, 411, 860, 33759, 46751, 26483, 40579, 12557, 281, 1420, 30, 478, 42, 9825, 4816, 840, 764, 7081, 9416, 1519, 23271, 282, 13673, 1912, 384, 2692, 4776, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 1206, 332, 7732, 17786, 5897, 5708, 44088, 8900, 478, 732, 10654, 23595, 2347, 470, 510, 478, 677, 24022, 399, 18385, 861, 31224, 30, 563, 271, 13171, 322, 3238, 16317, 30, 322, 475, 5270, 43194, 8508, 8900, 478, 732, 10654, 23595, 2347, 470, 4247, 8396, 35501, 21917, 547, 40621, 18, 403, 6095, 670, 294, 10814, 510, 10480, 16, 515, 7638, 549, 17786, 473, 431, 49659, 304, 6750, 5537, 289, 5897, 5537, 27516, 483, 13, 322, 23752, 17808, 289, 519, 3610, 1879, 16, 1830, 1391, 2285, 282, 965, 3215, 1269, 6059, 18, 608, 3258, 274, 13214, 1283, 10307, 27516, 394, 16, 7089, 16, 282, 1177, 445, 3118, 3531, 30, 1299, 16835, 1845, 15194, 281, 43329, 2545, 4337, 932, 473, 50251, 17096, 1633, 4681, 349, 481, 27113, 12167, 415, 413, 297, 510, 10289, 1642, 9027, 296, 2477, 16, 281, 3279, 11864, 15133, 2257, 289, 19787, 3793, 4905, 4183, 10390, 540, 16, 38775, 552, 8790, 842, 399, 13766, 289, 18524, 451, 23123, 18, 365, 14183, 10390, 17537, 6859, 343, 840, 31041, 16, 2391, 26525, 1954, 294, 1420, 2353, 1649, 26430, 18, 14078, 17786, 16, 1881, 4749, 5267, 478, 677, 24022, 399, 18385, 910, 282, 5344, 27413, 4164, 309, 23908, 292, 21208, 289, 6415, 267, 1893, 7607, 1645, 29632, 1587, 1251, 2872, 24891, 6454, 18, 365, 7878, 44073, 11338, 478, 2997, 488, 703, 470, 5906, 31741, 14582, 37872, 1812, 294, 2076, 454, 10512, 523, 16, 1011, 1660, 475, 23128, 27137, 47263, 702, 2803, 510, 14612, 7147, 17, 264, 17, 5131, 18, 49225, 294, 9747, 10390, 540, 2754, 6321, 4893, 15773, 510, 428, 827, 373, 1176, 411, 2671, 2449, 2537, 8317, 10376, 11368, 5184, 1421, 271, 8367, 478, 23134, 278, 470, 16722, 8413, 1477, 18, 1937, 8240, 290, 488, 2137, 770, 289, 10465, 31654, 48637, 282, 4122, 9027, 296, 2477, 8487, 37340, 832, 347, 16, 7741, 413, 1815, 26370, 17, 375, 2565, 379, 1066, 3138, 2446, 740, 447, 16, 4362, 2826, 322, 334, 1190, 18, 2227, 315, 2099, 549, 6888, 764, 322, 9601, 16, 367, 15552, 10749, 1119, 8528, 2299, 2402, 263, 467, 18, 1273, 38745, 11766, 1132, 1149, 3398, 461, 946, 36737, 16, 907, 11, 81, 5226, 4102, 93, 535, 3039, 18, 9094, 43, 2475, 13544, 11813, 7169, 573, 9094, 43, 2475, 13544, 11813, 7169, 573, 55, 73, 5789, 28, 18, 31738, 18, 32767, 18, 3758, 19, 27, 91, 90, 52, 59, 82, 24, 51, 94, 88, 2046, 3229, 510, 1782, 356, 27569, 1829, 629, 344, 411, 43802, 16, 16276, 1414, 4807, 2584, 847, 281, 5211, 274, 2535, 473, 2603, 322, 282, 25391, 934, 6260, 39125, 272, 46948, 4973, 281, 10171, 547, 16, 385, 5158, 323, 289, 439, 1666, 355, 16, 6258, 507, 4424, 1011, 378, 671, 21013, 416, 18740, 473, 7560, 13398, 10167, 1832, 312, 13, 8493, 1728, 9798, 7227, 6733, 312, 853, 20509, 307, 5967, 16, 1870, 1042, 27096, 1812, 1128, 405, 3746, 281, 378, 3032, 289, 13583, 23400, 510, 281, 12306, 280, 312, 16, 367, 6727, 482, 47724, 281, 10171, 547, 16, 2024, 322, 3189, 281, 6175, 16374, 281, 15468, 749, 13659, 382, 282, 2456, 3998, 24652, 18, 28694, 1510, 411, 10512, 523, 309, 7266, 1715, 3025, 7756, 10114, 282, 4095, 6594, 289, 3819, 5700, 16203, 10032, 3340, 4269, 5362, 16, 17477, 3205, 8782, 10654, 1063, 4119, 40822, 31874, 346, 4907, 324, 18, 46482, 6606, 298, 14921, 1734, 282, 8790, 842, 49688, 426, 3215, 43148, 315, 35403, 309, 289, 749, 924, 30743, 6016, 304, 25902, 40520, 14008, 39125, 272, 510, 309, 14183, 10296, 3138, 2446, 38044, 492, 895, 289, 322, 18548, 18, 2667, 21442, 6175, 16, 9705, 16, 15896, 282, 9981, 322, 15056, 21555, 9349, 4436, 15311, 29043, 14290, 3746, 45392, 315, 17, 1219, 3922, 434, 10485, 18, 385, 2099, 272, 9296, 7473, 16, 349, 3279, 15846, 2586, 3788, 3332, 17136, 473, 1636, 363, 305, 334, 1544, 825, 1209, 9361, 2294, 13939, 22094, 1275, 934, 18742, 29712, 10189, 334, 29452, 2078, 510, 3888, 935, 23588, 7282, 11338, 616, 38982, 37970, 504, 337, 21131, 264, 289, 450, 18, 504, 18, 19192, 8561, 282, 34037, 6063, 14228, 305, 1447, 617, 18, 35937, 506, 12676, 35377, 282, 8303, 16, 988, 912, 13669, 16, 481, 723, 31738, 18, 32767, 18, 3758, 19, 58, 77, 40, 87, 42, 21, 50, 59, 2528, 7758, 282, 4056, 7756, 912, 1272, 22912, 6175, 18, 1591, 17, 7329, 16, 6260, 16051, 290, 3177, 6361, 547, 38961, 510, 289, 1055, 322, 10219, 16, 374, 2240, 281, 1335, 13988, 18, 2877, 329, 1047, 912 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 510, 6835, 17, 15900, 680, 10575, 1161, 42469, 473, 25691, 8000, 48076, 8992, 28355, 13, 510, 281, 23579, 18484, 43833, 46328, 10249, 309, 697, 20118, 18, 21490, 51, 10249, 15162, 1281, 3598, 30, 3785, 3043, 6915, 309, 21767, 1032, 6568, 16, 22, 3763, 11400, 334, 4843, 8081, 349, 10168, 18, 365, 6031, 4982, 15429, 12076, 4843, 3902, 5096, 16, 17111, 411, 10874, 7321, 282, 4843, 2479, 24, 5096, 18, 23710, 467, 549, 580, 35073, 17178, 18183, 1715, 309, 2287, 9, 510, 519, 4843, 9869, 16, 8365, 349, 19830, 16, 515, 309, 2513, 2376, 4281, 8379, 693, 925, 4843, 8081, 16, 7703, 349, 10168, 510, 1223, 309, 430, 9, 3230, 8990, 21462, 2514, 10910, 434, 15429, 18, 640, 9268, 23616, 23143, 8296, 10249, 23205, 309, 816, 16, 17819, 7418, 519, 4843, 4691, 16, 17133, 18, 385, 6175, 15429, 3131, 17204, 2241, 5009, 5519, 309, 9817, 5999, 4756, 6187, 24679, 17, 2561, 5967, 11131, 478, 563, 10202, 8666, 470, 3720, 5154, 17088, 3153, 478, 46088, 18, 8381, 910, 374, 309, 21490, 51, 8752, 5324, 18220, 20943, 1738, 20251, 478, 918, 5946, 46802, 470, 289, 7072, 11400, 10249, 840, 478, 11235, 27987, 282, 2580, 5638, 416, 470, 510, 519, 4843, 4691, 349, 430, 26314, 18, 478, 1358, 3684, 16, 374, 14705, 448, 42557, 478, 12586, 9714, 470, 8296, 687, 1548, 16, 374, 481, 8296, 10249, 910, 510, 2548, 41330, 1234, 527, 70, 14320, 19209, 3551, 283, 842, 18, 18847, 452, 1406, 41330, 411, 18735, 527, 10741, 5436, 10710, 48521, 19432, 12016, 16, 374, 8296, 10249, 5575, 414, 15513, 416, 8990, 687, 282, 3998, 4281, 16, 367, 2512, 697, 6134, 49622, 850, 5279, 18, 1253, 5273, 16, 374, 6295, 840, 687, 26780, 5170, 18, 20409, 30506, 411, 860, 33759, 46751, 26483, 40579, 12557, 281, 1420, 30, 478, 42, 9825, 4816, 840, 764, 7081, 9416, 1519, 23271, 282, 13673, 1912, 384, 2692, 4776, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 1206, 332, 7732, 17786, 5897, 5708, 44088, 8900, 478, 732, 10654, 23595, 2347, 470, 510, 478, 677, 24022, 399, 18385, 861, 31224, 30, 563, 271, 13171, 322, 3238, 16317, 30, 322, 475, 5270, 43194, 8508, 8900, 478, 732, 10654, 23595, 2347, 470, 4247, 8396, 35501, 21917, 547, 40621, 18, 403, 6095, 670, 294, 10814, 510, 10480, 16, 515, 7638, 549, 17786, 473, 431, 49659, 304, 6750, 5537, 289, 5897, 5537, 27516, 483, 13, 322, 23752, 17808, 289, 519, 3610, 1879, 16, 1830, 1391, 2285, 282, 965, 3215, 1269, 6059, 18, 608, 3258, 274, 13214, 1283, 10307, 27516, 394, 16, 7089, 16, 282, 1177, 445, 3118, 3531, 30, 1299, 16835, 1845, 15194, 281, 43329, 2545, 4337, 932, 473, 50251, 17096, 1633, 4681, 349, 481, 27113, 12167, 415, 413, 297, 510, 10289, 1642, 9027, 296, 2477, 16, 281, 3279, 11864, 15133, 2257, 289, 19787, 3793, 4905, 4183, 10390, 540, 16, 38775, 552, 8790, 842, 399, 13766, 289, 18524, 451, 23123, 18, 365, 14183, 10390, 17537, 6859, 343, 840, 31041, 16, 2391, 26525, 1954, 294, 1420, 2353, 1649, 26430, 18, 14078, 17786, 16, 1881, 4749, 5267, 478, 677, 24022, 399, 18385, 910, 282, 5344, 27413, 4164, 309, 23908, 292, 21208, 289, 6415, 267, 1893, 7607, 1645, 29632, 1587, 1251, 2872, 24891, 6454, 18, 365, 7878, 44073, 11338, 478, 2997, 488, 703, 470, 5906, 31741, 14582, 37872, 1812, 294, 2076, 454, 10512, 523, 16, 1011, 1660, 475, 23128, 27137, 47263, 702, 2803, 510, 14612, 7147, 17, 264, 17, 5131, 18, 49225, 294, 9747, 10390, 540, 2754, 6321, 4893, 15773, 510, 428, 827, 373, 1176, 411, 2671, 2449, 2537, 8317, 10376, 11368, 5184, 1421, 271, 8367, 478, 23134, 278, 470, 16722, 8413, 1477, 18, 1937, 8240, 290, 488, 2137, 770, 289, 10465, 31654, 48637, 282, 4122, 9027, 296, 2477, 8487, 37340, 832, 347, 16, 7741, 413, 1815, 26370, 17, 375, 2565, 379, 1066, 3138, 2446, 740, 447, 16, 4362, 2826, 322, 334, 1190, 18, 2227, 315, 2099, 549, 6888, 764, 322, 9601, 16, 367, 15552, 10749, 1119, 8528, 2299, 2402, 263, 467, 18, 1273, 38745, 11766, 1132, 1149, 3398, 461, 946, 36737, 16, 907, 11, 81, 5226, 4102, 93, 535, 3039, 18, 9094, 43, 2475, 13544, 11813, 7169, 573, 9094, 43, 2475, 13544, 11813, 7169, 573, 55, 73, 5789, 28, 18, 31738, 18, 32767, 18, 3758, 19, 27, 91, 90, 52, 59, 82, 24, 51, 94, 88, 2046, 3229, 510, 1782, 356, 27569, 1829, 629, 344, 411, 43802, 16, 16276, 1414, 4807, 2584, 847, 281, 5211, 274, 2535, 473, 2603, 322, 282, 25391, 934, 6260, 39125, 272, 46948, 4973, 281, 10171, 547, 16, 385, 5158, 323, 289, 439, 1666, 355, 16, 6258, 507, 4424, 1011, 378, 671, 21013, 416, 18740, 473, 7560, 13398, 10167, 1832, 312, 13, 8493, 1728, 9798, 7227, 6733, 312, 853, 20509, 307, 5967, 16, 1870, 1042, 27096, 1812, 1128, 405, 3746, 281, 378, 3032, 289, 13583, 23400, 510, 281, 12306, 280, 312, 16, 367, 6727, 482, 47724, 281, 10171, 547, 16, 2024, 322, 3189, 281, 6175, 16374, 281, 15468, 749, 13659, 382, 282, 2456, 3998, 24652, 18, 28694, 1510, 411, 10512, 523, 309, 7266, 1715, 3025, 7756, 10114, 282, 4095, 6594, 289, 3819, 5700, 16203, 10032, 3340, 4269, 5362, 16, 17477, 3205, 8782, 10654, 1063, 4119, 40822, 31874, 346, 4907, 324, 18, 46482, 6606, 298, 14921, 1734, 282, 8790, 842, 49688, 426, 3215, 43148, 315, 35403, 309, 289, 749, 924, 30743, 6016, 304, 25902, 40520, 14008, 39125, 272, 510, 309, 14183, 10296, 3138, 2446, 38044, 492, 895, 289, 322, 18548, 18, 2667, 21442, 6175, 16, 9705, 16, 15896, 282, 9981, 322, 15056, 21555, 9349, 4436, 15311, 29043, 14290, 3746, 45392, 315, 17, 1219, 3922, 434, 10485, 18, 385, 2099, 272, 9296, 7473, 16, 349, 3279, 15846, 2586, 3788, 3332, 17136, 473, 1636, 363, 305, 334, 1544, 825, 1209, 9361, 2294, 13939, 22094, 1275, 934, 18742, 29712, 10189, 334, 29452, 2078, 510, 3888, 935, 23588, 7282, 11338, 616, 38982, 37970, 504, 337, 21131, 264, 289, 450, 18, 504, 18, 19192, 8561, 282, 34037, 6063, 14228, 305, 1447, 617, 18, 35937, 506, 12676, 35377, 282, 8303, 16, 988, 912, 13669, 16, 481, 723, 31738, 18, 32767, 18, 3758, 19, 58, 77, 40, 87, 42, 21, 50, 59, 2528, 7758, 282, 4056, 7756, 912, 1272, 22912, 6175, 18, 1591, 17, 7329, 16, 6260, 16051, 290, 3177, 6361, 547, 38961, 510, 289, 1055, 322, 10219, 16, 374, 2240, 281, 1335, 13988, 18, 2877, 329, 1047, 912 ]
[ 8720, 15976, 24841, 290, 10355, 11065, 21460, 4678, 289, 970, 16, 7003, 324, 520, 16276, 1414, 4807, 18524, 434, 47999, 18, 14502, 14879, 326, 16, 1029, 33354, 1893, 39125, 272, 505, 43625, 668, 16, 1472, 424, 326, 1211, 12166, 282, 5627, 289, 12016, 16, 374, 11126, 1500, 2713, 16, 1029, 322, 24553, 349, 5494, 567, 374, 373, 502, 537, 2438, 18, 1591, 17, 8678, 16, 2041, 409, 274, 8643, 965, 6993, 32632, 801, 695, 473, 44440, 47607, 625, 6948, 392, 14926, 2266, 7673, 282, 20484, 416, 20916, 289, 4292, 9594, 282, 12246, 7312, 1293, 7264, 934, 515, 374, 1033, 4748, 510, 1858, 48374, 341, 12934, 18, 985, 656, 46316, 411, 26034, 10390, 540, 16, 1717, 722, 35988, 564, 360, 20139, 40807, 3717, 804, 6733, 312, 853, 309, 5023, 290, 970, 16, 374, 505, 9502, 1858, 44038, 18, 889, 16, 282, 1423, 3678, 16, 22444, 18964, 329, 1047, 42030, 1894, 18818, 19420, 294, 9982, 2545, 8258, 505, 6215, 2827, 18, 14501, 520, 5750, 2636, 22280, 8232, 26123, 4282, 16, 519, 4319, 1326, 10480, 16, 515, 1441, 912, 14440, 10317, 27721, 16, 374, 678, 475, 17, 2767, 1762, 332, 18, 3428, 16528, 322, 1623, 1574, 1588, 23022, 14780, 16, 1851, 656, 722, 13585, 3229, 18, 7249, 309, 17311, 20232, 1070, 302, 2381, 323, 16, 17786, 28009, 6993, 1561, 1941, 510, 4213, 16, 481, 2141, 1176, 411, 3322, 44333, 7638, 432, 43194, 349, 2651, 5901, 24652, 18, 1178, 282, 44617, 11258, 36692, 17119, 20645, 455, 16, 502, 1441, 475, 21922, 840, 13122, 12210, 294, 531, 3430, 440, 1508, 510, 1029, 12842, 10939, 8474, 21712, 5097, 14687, 22406, 16, 367, 27918, 306, 10082, 24522, 1421, 4177, 4902, 30607, 334, 8500, 4681, 282, 30404, 763, 18, 1591, 7422, 10390, 7774, 6727, 482, 4128, 322, 1139, 5948, 294, 9161, 12981, 281, 13212, 16, 14409, 964, 4576, 492, 28562, 315, 11367, 473, 599, 3378, 492, 16, 8647, 16, 289, 19064, 811, 934, 515, 289, 6622, 20982, 21536, 1855, 722, 18752, 16, 3387, 20509, 307, 1318, 17, 9412, 1510, 1441, 3957, 6281, 349, 8616, 14879, 486, 312, 8576, 18, 2949, 924, 16, 1482, 2696, 13064, 7756, 21922, 840, 18483, 286, 13148, 294, 7440, 954, 281, 3138, 10166, 740, 447, 510, 505, 656, 16, 3754, 16, 519, 11202, 10390, 540, 322, 25983, 18, 478, 732, 29727, 23595, 2347, 470, 942, 5221, 282, 8063, 17, 28041, 16562, 298, 1621, 79, 22077, 334, 15028, 2557, 478, 18780, 3378, 2110, 4668, 10530, 527, 77, 1899, 10693, 861, 17580, 17786, 44088, 8900, 11981, 5413, 3405, 4238, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 1896, 7234, 46509, 2899, 282, 4018, 1045, 840, 282, 26648, 262, 1143, 16, 828, 7111, 862, 30, 37038, 1673, 1491, 2430, 13029, 5085, 10940, 519, 1224, 20, 16, 24, 9, 281, 1224, 20, 16, 21, 5999, 602, 3127, 983, 28296, 7180, 622, 46509, 2899, 18, 1787, 11897, 19420, 294, 7307, 22996, 755, 15488, 30683, 7021, 34124, 1087, 348, 49122, 1437, 18, 2230, 18336, 29577, 17273, 4110, 18183, 309, 430, 16, 24, 443, 22, 16, 27, 5999, 31224, 30, 13762, 4174, 778, 1673, 1491, 2430, 473, 602, 3127, 983, 6778, 20427, 18412, 17850, 46509, 2899, 309, 2239, 16, 24, 9, 282, 4018, 1045, 16, 2815, 5037, 22996, 1347, 44022, 14467, 607, 309, 3781, 17, 19858, 334, 8872, 7067, 42006, 602, 3127, 983, 18, 378, 2819, 883, 10940, 602, 3127, 983, 26474, 13965, 309, 2239, 16, 21, 5999, 6592, 3761, 9289, 849, 532, 16, 17850, 2123, 2044, 46509, 2899, 38778, 567, 7422, 19936, 309, 2239, 16, 22, 9, 334, 7413, 281, 5216, 18, 365, 5521, 304, 36534, 33795, 7234, 12076, 2239, 16, 25, 7418, 1830, 7953, 448, 5024, 2766, 6985, 309, 24560, 309, 2239, 16, 24, 5999, 608, 28678, 17091, 12980, 602, 3127, 983, 289, 309, 3734, 1205, 30, 4419, 22996, 755, 18604, 3064, 6591, 17850, 309, 2239, 2884, 17, 22, 7418, 1441, 4498, 3419, 290, 38716, 309, 2239, 16, 24, 9, 2988, 36661, 519, 430, 16, 24, 5999, 740, 3585, 1676, 6134, 4135, 541, 15409, 2682, 12318, 7019, 22996, 755, 322, 1559, 18, 23605, 7576, 22829, 449, 40868, 2682, 602, 3127, 983, 8731, 309, 5066, 2239, 16, 8564, 9, 36397, 18, 11824, 14971, 16, 36379, 38341, 1624, 23653, 18412, 16125, 519, 2239, 16, 25, 5999, 6373, 411, 4284, 17926, 16125, 651, 15733, 468, 29251, 18, 6592, 16685, 987, 1147, 10940, 272, 16, 6591, 2898, 282, 4018, 1045, 14481, 491, 16, 25, 7418, 367, 322, 491, 16, 24, 7418, 411, 17, 431, 12647, 2898, 309, 18496, 2248, 1947, 289, 11897, 23494, 1378, 17411, 282, 4729, 13269, 7338, 18, 365, 3734, 1045, 44690, 24668, 1463, 519, 430, 16, 29, 9, 1279, 430, 16, 26, 7418, 7614, 6379, 4419, 18, 9133, 1223, 602, 3127, 983, 24797, 41799, 46509, 2899, 18, 14467, 607, 22618, 16, 374, 602, 3127, 983, 2262, 921, 475, 16820, 16, 374, 8969, 2123, 2044, 46509, 2899, 1974, 18, 478, 3096, 348, 5918, 2906, 34181, 510, 481, 1472, 36239, 2906, 34181, 910, 510, 9299, 5037, 602, 3127, 983, 18, 4824, 411, 17967, 510, 30683, 7021, 34124, 1087, 348, 49122, 1437, 18, 19012, 29444, 29136, 15190, 980, 2448, 20834, 3520, 2929, 2879, 478, 5094, 1866, 9587, 11666, 2973, 309, 15693, 2466, 26476, 20383, 1378, 49857, 46509, 2899, 910, 22618, 14467, 607, 18, 967, 803, 22996, 755, 19229, 349, 1807, 2990, 16161, 34124, 22240, 16, 827, 5439, 2044, 46509, 2899, 322, 1747, 10285, 47762, 15442, 18, 602, 3127, 983, 1038, 2963, 373, 16, 753, 294, 13135, 864, 1087, 296, 1000, 297, 26793, 289, 22481, 8204, 451, 10575, 473, 24754, 17014, 37038, 22996, 755, 1038, 4473, 2538, 6656, 4103, 1385, 25447, 19510, 16, 961, 2259, 7099, 282, 21784, 30, 745, 1698, 953, 49038, 6025, 322, 687, 282, 7307, 16, 515, 289, 282, 3607, 2244, 2145, 16, 2668, 2662, 16280, 38285, 289, 31473, 289, 49288, 18, 602, 3127, 983, 726, 2714, 1738, 2089, 21743, 282, 19953, 9350, 651, 281, 3802, 5049, 334, 31776, 4479, 779, 18, 1895, 1443, 602, 3127, 983, 5352, 29061, 23271, 18, 403, 1281, 18, 4691, 334, 35722, 1612, 12267, 778, 1130, 37, 60, 7990, 309, 491, 16, 12281, 7418, 16708, 769, 26393, 4317, 510, 309, 491, 16, 12695, 7418, 33256, 1149, 31064, 41, 3417, 510, 309, 430, 16, 12743, 5999, 365, 478, 16744, 323, 10717, 470, 35375, 43833, 289, 309, 11673, 39020, 30, 715, 10, 52, 6957, 7479, 309, 430, 16, 8400, 7418, 1059, 633, 19970, 85, 12028 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8720, 15976, 24841, 290, 10355, 11065, 21460, 4678, 289, 970, 16, 7003, 324, 520, 16276, 1414, 4807, 18524, 434, 47999, 18, 14502, 14879, 326, 16, 1029, 33354, 1893, 39125, 272, 505, 43625, 668, 16, 1472, 424, 326, 1211, 12166, 282, 5627, 289, 12016, 16, 374, 11126, 1500, 2713, 16, 1029, 322, 24553, 349, 5494, 567, 374, 373, 502, 537, 2438, 18, 1591, 17, 8678, 16, 2041, 409, 274, 8643, 965, 6993, 32632, 801, 695, 473, 44440, 47607, 625, 6948, 392, 14926, 2266, 7673, 282, 20484, 416, 20916, 289, 4292, 9594, 282, 12246, 7312, 1293, 7264, 934, 515, 374, 1033, 4748, 510, 1858, 48374, 341, 12934, 18, 985, 656, 46316, 411, 26034, 10390, 540, 16, 1717, 722, 35988, 564, 360, 20139, 40807, 3717, 804, 6733, 312, 853, 309, 5023, 290, 970, 16, 374, 505, 9502, 1858, 44038, 18, 889, 16, 282, 1423, 3678, 16, 22444, 18964, 329, 1047, 42030, 1894, 18818, 19420, 294, 9982, 2545, 8258, 505, 6215, 2827, 18, 14501, 520, 5750, 2636, 22280, 8232, 26123, 4282, 16, 519, 4319, 1326, 10480, 16, 515, 1441, 912, 14440, 10317, 27721, 16, 374, 678, 475, 17, 2767, 1762, 332, 18, 3428, 16528, 322, 1623, 1574, 1588, 23022, 14780, 16, 1851, 656, 722, 13585, 3229, 18, 7249, 309, 17311, 20232, 1070, 302, 2381, 323, 16, 17786, 28009, 6993, 1561, 1941, 510, 4213, 16, 481, 2141, 1176, 411, 3322, 44333, 7638, 432, 43194, 349, 2651, 5901, 24652, 18, 1178, 282, 44617, 11258, 36692, 17119, 20645, 455, 16, 502, 1441, 475, 21922, 840, 13122, 12210, 294, 531, 3430, 440, 1508, 510, 1029, 12842, 10939, 8474, 21712, 5097, 14687, 22406, 16, 367, 27918, 306, 10082, 24522, 1421, 4177, 4902, 30607, 334, 8500, 4681, 282, 30404, 763, 18, 1591, 7422, 10390, 7774, 6727, 482, 4128, 322, 1139, 5948, 294, 9161, 12981, 281, 13212, 16, 14409, 964, 4576, 492, 28562, 315, 11367, 473, 599, 3378, 492, 16, 8647, 16, 289, 19064, 811, 934, 515, 289, 6622, 20982, 21536, 1855, 722, 18752, 16, 3387, 20509, 307, 1318, 17, 9412, 1510, 1441, 3957, 6281, 349, 8616, 14879, 486, 312, 8576, 18, 2949, 924, 16, 1482, 2696, 13064, 7756, 21922, 840, 18483, 286, 13148, 294, 7440, 954, 281, 3138, 10166, 740, 447, 510, 505, 656, 16, 3754, 16, 519, 11202, 10390, 540, 322, 25983, 18, 478, 732, 29727, 23595, 2347, 470, 942, 5221, 282, 8063, 17, 28041, 16562, 298, 1621, 79, 22077, 334, 15028, 2557, 478, 18780, 3378, 2110, 4668, 10530, 527, 77, 1899, 10693, 861, 17580, 17786, 44088, 8900, 11981, 5413, 3405, 4238, 18, 2, 1, 87, 1456, 81, 2448, 30, 563, 1896, 7234, 46509, 2899, 282, 4018, 1045, 840, 282, 26648, 262, 1143, 16, 828, 7111, 862, 30, 37038, 1673, 1491, 2430, 13029, 5085, 10940, 519, 1224, 20, 16, 24, 9, 281, 1224, 20, 16, 21, 5999, 602, 3127, 983, 28296, 7180, 622, 46509, 2899, 18, 1787, 11897, 19420, 294, 7307, 22996, 755, 15488, 30683, 7021, 34124, 1087, 348, 49122, 1437, 18, 2230, 18336, 29577, 17273, 4110, 18183, 309, 430, 16, 24, 443, 22, 16, 27, 5999, 31224, 30, 13762, 4174, 778, 1673, 1491, 2430, 473, 602, 3127, 983, 6778, 20427, 18412, 17850, 46509, 2899, 309, 2239, 16, 24, 9, 282, 4018, 1045, 16, 2815, 5037, 22996, 1347, 44022, 14467, 607, 309, 3781, 17, 19858, 334, 8872, 7067, 42006, 602, 3127, 983, 18, 378, 2819, 883, 10940, 602, 3127, 983, 26474, 13965, 309, 2239, 16, 21, 5999, 6592, 3761, 9289, 849, 532, 16, 17850, 2123, 2044, 46509, 2899, 38778, 567, 7422, 19936, 309, 2239, 16, 22, 9, 334, 7413, 281, 5216, 18, 365, 5521, 304, 36534, 33795, 7234, 12076, 2239, 16, 25, 7418, 1830, 7953, 448, 5024, 2766, 6985, 309, 24560, 309, 2239, 16, 24, 5999, 608, 28678, 17091, 12980, 602, 3127, 983, 289, 309, 3734, 1205, 30, 4419, 22996, 755, 18604, 3064, 6591, 17850, 309, 2239, 2884, 17, 22, 7418, 1441, 4498, 3419, 290, 38716, 309, 2239, 16, 24, 9, 2988, 36661, 519, 430, 16, 24, 5999, 740, 3585, 1676, 6134, 4135, 541, 15409, 2682, 12318, 7019, 22996, 755, 322, 1559, 18, 23605, 7576, 22829, 449, 40868, 2682, 602, 3127, 983, 8731, 309, 5066, 2239, 16, 8564, 9, 36397, 18, 11824, 14971, 16, 36379, 38341, 1624, 23653, 18412, 16125, 519, 2239, 16, 25, 5999, 6373, 411, 4284, 17926, 16125, 651, 15733, 468, 29251, 18, 6592, 16685, 987, 1147, 10940, 272, 16, 6591, 2898, 282, 4018, 1045, 14481, 491, 16, 25, 7418, 367, 322, 491, 16, 24, 7418, 411, 17, 431, 12647, 2898, 309, 18496, 2248, 1947, 289, 11897, 23494, 1378, 17411, 282, 4729, 13269, 7338, 18, 365, 3734, 1045, 44690, 24668, 1463, 519, 430, 16, 29, 9, 1279, 430, 16, 26, 7418, 7614, 6379, 4419, 18, 9133, 1223, 602, 3127, 983, 24797, 41799, 46509, 2899, 18, 14467, 607, 22618, 16, 374, 602, 3127, 983, 2262, 921, 475, 16820, 16, 374, 8969, 2123, 2044, 46509, 2899, 1974, 18, 478, 3096, 348, 5918, 2906, 34181, 510, 481, 1472, 36239, 2906, 34181, 910, 510, 9299, 5037, 602, 3127, 983, 18, 4824, 411, 17967, 510, 30683, 7021, 34124, 1087, 348, 49122, 1437, 18, 19012, 29444, 29136, 15190, 980, 2448, 20834, 3520, 2929, 2879, 478, 5094, 1866, 9587, 11666, 2973, 309, 15693, 2466, 26476, 20383, 1378, 49857, 46509, 2899, 910, 22618, 14467, 607, 18, 967, 803, 22996, 755, 19229, 349, 1807, 2990, 16161, 34124, 22240, 16, 827, 5439, 2044, 46509, 2899, 322, 1747, 10285, 47762, 15442, 18, 602, 3127, 983, 1038, 2963, 373, 16, 753, 294, 13135, 864, 1087, 296, 1000, 297, 26793, 289, 22481, 8204, 451, 10575, 473, 24754, 17014, 37038, 22996, 755, 1038, 4473, 2538, 6656, 4103, 1385, 25447, 19510, 16, 961, 2259, 7099, 282, 21784, 30, 745, 1698, 953, 49038, 6025, 322, 687, 282, 7307, 16, 515, 289, 282, 3607, 2244, 2145, 16, 2668, 2662, 16280, 38285, 289, 31473, 289, 49288, 18, 602, 3127, 983, 726, 2714, 1738, 2089, 21743, 282, 19953, 9350, 651, 281, 3802, 5049, 334, 31776, 4479, 779, 18, 1895, 1443, 602, 3127, 983, 5352, 29061, 23271, 18, 403, 1281, 18, 4691, 334, 35722, 1612, 12267, 778, 1130, 37, 60, 7990, 309, 491, 16, 12281, 7418, 16708, 769, 26393, 4317, 510, 309, 491, 16, 12695, 7418, 33256, 1149, 31064, 41, 3417, 510, 309, 430, 16, 12743, 5999, 365, 478, 16744, 323, 10717, 470, 35375, 43833, 289, 309, 11673, 39020, 30, 715, 10, 52, 6957, 7479, 309, 430, 16, 8400, 7418, 1059, 633, 19970, 85, 12028 ]
[ 1410, 4376, 510, 309, 430, 16, 6837, 7418, 1130, 1170, 33847, 39771, 26197, 776, 1419, 3104, 510, 309, 430, 16, 9348, 5999, 31529, 16597, 1013, 421, 29731, 983, 289, 472, 15132, 20299, 309, 491, 16, 2783, 9, 289, 430, 16, 11498, 9, 8774, 18, 478, 31019, 668, 12966, 602, 3127, 983, 8493, 567, 733, 32609, 424, 6457, 6365, 3989, 1791, 432, 2044, 46509, 2899, 16, 541, 1660, 289, 18851, 14057, 49379, 1087, 348, 49122, 1437, 282, 7544, 309, 33537, 14412, 20785, 910, 510, 18590, 4075, 22996, 1347, 29846, 24942, 2368, 10280, 2034, 94, 2058, 31043, 10149, 4084, 10374, 32653, 6235, 18, 478, 992, 3127, 983, 28293, 322, 8566, 27698, 49379, 18, 6434, 3305, 1943, 4976, 16, 374, 912, 30516, 3170, 2232, 14729, 16, 1655, 492, 322, 840, 20982, 22255, 281, 602, 3127, 983, 16, 481, 23068, 18, 740, 322, 3684, 16, 374, 602, 3127, 983, 14813, 1269, 4135, 16, 24219, 510, 3914, 448, 4905, 282, 41827, 1502, 432, 20921, 1165, 910, 510, 5273, 41330, 478, 8001, 476, 264, 20439, 26942, 16095, 41910, 21710, 18, 824, 4734, 32653, 6235, 16, 12512, 1698, 953, 26515, 15298, 281, 37065, 36101, 2514, 1791, 434, 16178, 289, 4982, 1134, 34831, 22139, 432, 24297, 510, 1302, 55, 42, 55, 289, 1302, 38669, 16, 502, 912, 282, 11683, 2236, 40536, 853, 7307, 18, 3791, 5702, 17648, 536, 16, 349, 2948, 1660, 602, 3127, 983, 24905, 34124, 30, 840, 520, 22996, 755, 26200, 2764, 281, 7043, 670, 575, 2302, 759, 13241, 451, 2590, 368, 16, 17857, 3788, 14697, 18, 740, 309, 3961, 24754, 322, 2353, 16419, 18, 478, 29731, 1182, 510, 481, 18276, 18, 459, 745, 9095, 3670, 7044, 16, 753, 678, 1142, 455, 3860, 3319, 9640, 16, 2805, 14517, 16, 374, 329, 5306, 4135, 7696, 289, 8768, 10047, 12232, 14125, 360, 13523, 28397, 7043, 910, 510, 18590, 41910, 21710, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 20144, 49808, 5819, 1633, 343, 12020, 1633, 307, 13282, 10927, 281, 18813, 11896, 18924, 9783, 342, 3663, 999, 312, 14770, 16, 1029, 1760, 3598, 1038, 42295, 281, 9362, 353, 7796, 1552, 5306, 16, 5670, 289, 10676, 18, 640, 25909, 840, 8271, 9488, 387, 14949, 7203, 22075, 282, 4599, 28481, 11418, 281, 45914, 16, 411, 2024, 5548, 7451, 2145, 18, 31224, 30, 44495, 16, 18211, 289, 31981, 16, 5358, 1733, 5080, 2389, 453, 24941, 25514, 15154, 281, 45914, 16, 25009, 294, 7180, 954, 27480, 18, 2876, 5831, 2636, 4765, 9219, 4815, 668, 3300, 510, 50072, 26017, 488, 15920, 10839, 309, 1177, 2948, 18, 17944, 1760, 3598, 9216, 32975, 346, 11413, 22470, 5819, 1633, 343, 12020, 1633, 307, 13282, 9744, 281, 25189, 7796, 1552, 18924, 47635, 429, 3663, 9783, 27756, 304, 999, 312, 14770, 16, 567, 808, 1754, 492, 4848, 290, 7517, 4678, 16, 961, 4419, 7609, 282, 3507, 289, 25886, 1153, 18, 478, 1358, 2447, 25111, 16, 374, 5413, 12020, 1633, 307, 13282, 10927, 281, 999, 312, 14770, 16, 329, 1129, 906, 12031, 12373, 2750, 16, 492, 35270, 3064, 722, 290, 25909, 282, 3507, 289, 25886, 1153, 282, 4301, 13220, 334, 7180, 954, 25514, 15154, 16, 1542, 9200, 6268, 977, 910, 510, 6442, 282, 3781, 17, 12495, 8300, 6116, 3997, 7597, 16338, 18, 365, 1423, 3678, 16, 5037, 11896, 18924, 334, 8872, 47077, 16750, 281, 12020, 1633, 307, 2815, 16, 374, 697, 4077, 685, 478, 2499, 2676, 12310, 861, 1591, 2992, 11053, 2299, 1760, 3598, 5037, 20144, 49808, 1038, 24905, 19019, 281, 5037, 353, 11896, 10676, 16, 5306, 289, 5670, 16, 1011, 1660, 9934, 17437, 4765, 16, 309, 1754, 9985, 548, 9813, 530, 15604, 17241, 3193, 541, 17926, 32858, 7385, 11357, 48915, 1352, 12375, 5348, 473, 563, 677, 672, 822, 13, 1011, 29109, 411, 1047, 2145, 18, 30426, 672, 822, 685, 18566, 282, 2604, 1045, 1251, 45914, 281, 2059, 1963, 289, 44731, 16, 31469, 16, 8579, 5885, 16, 2145, 16, 38979, 289, 9609, 281, 2107, 18, 6592, 4957, 869, 6086, 16, 8711, 549, 7938, 18924, 36301, 424, 6457, 22880, 1009, 9899, 1605, 18, 12657, 411, 22912, 12794, 6325, 510, 29159, 343, 1782, 21358, 547, 6272, 334, 21597, 11188, 16282, 324, 541, 4981, 28481, 6617, 519, 1939, 4691, 779, 18, 365, 502, 575, 808, 12735, 322, 1623, 6508, 3728, 16435, 38978, 47787, 16, 367, 6048, 1807, 4421, 26292, 10969, 4546, 18, 22050, 322, 37726, 16, 374, 282, 10021, 750, 281, 2145, 29569, 309, 3961, 5538, 18, 4338, 4836, 5472, 1782, 21358, 324, 309, 803, 24682, 456, 510, 5037, 11896, 9783, 7088, 999, 18605, 16, 26713, 36971, 289, 14449, 451, 11449, 300, 16, 1029, 2397, 8585, 16891, 282, 7044, 18, 2667, 17761, 282, 24630, 388, 8099, 24510, 282, 1175, 289, 15770, 16, 988, 1038, 23054, 1279, 32362, 11418, 18, 12280, 8097, 16, 374, 3876, 3359, 773, 1011, 17761, 282, 25886, 375, 29562, 8471, 22257, 521, 2854, 18, 365, 1169, 492, 8566, 1423, 10927, 282, 25198, 478, 42167, 775, 6466, 289, 14157, 861, 817, 1038, 4725, 16, 374, 27081, 16, 374, 4765, 281, 9444, 7597, 289, 9362, 353, 13269, 2044, 6721, 8969, 481, 478, 272, 742, 2837, 24374, 49808, 861, 29322, 343, 2044, 7597, 3089, 20633, 647, 3003, 16, 2486, 2564, 435, 373, 8969, 4957, 16, 3621, 282, 2702, 48382, 4190, 18, 3747, 18211, 289, 15871, 24445, 24575, 15154, 16, 3361, 1251, 7396, 17986, 39469, 45087, 16, 10050, 9294, 39379, 21408, 19209, 9359, 18, 365, 502, 808, 428, 18211, 21890, 16, 374, 952, 1318, 312, 1917, 2837, 17475, 13951, 2145, 322, 895, 953, 7239, 16, 7064, 5306, 10050, 16, 374, 478, 39943, 726, 322, 895, 953, 11742, 861, 985, 5301, 9359, 16, 15871, 16, 478, 40779, 16, 27081, 16, 374, 36440, 1133, 11031, 282, 31279, 8070, 30468, 502, 16, 374, 745, 6881, 4770, 1518, 2236, 12783, 861, 985, 3665, 16, 329, 35621, 289, 22692, 12123, 45554, 8095, 448, 12658, 309, 19736, 4830, 2145, 5035, 35109, 34031, 18, 1178, 4770, 5670, 12198, 22875, 5888, 4048, 1368, 23140, 294, 2689, 2818, 21935, 6335, 371, 1699, 1068, 16, 5222, 5306, 38649, 24012, 7832, 294, 3130, 281, 27845, 20374, 345, 47122, 18, 889, 639, 4750, 567, 808, 30194, 17761, 9146, 13764, 282, 2145, 18, 967, 803, 567, 5670, 16, 1586, 7556, 44030, 10126, 668, 32452, 454, 16, 1143, 13173, 1031, 554, 18924, 282, 478, 6952, 547, 10126, 263, 861, 365, 5306, 16, 988, 360, 27673, 17245, 16, 309, 481, 17002, 281, 2107, 1963, 18, 2046, 360, 11993, 281, 45914, 1800, 1143, 1209, 14393, 1211, 15871 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1410, 4376, 510, 309, 430, 16, 6837, 7418, 1130, 1170, 33847, 39771, 26197, 776, 1419, 3104, 510, 309, 430, 16, 9348, 5999, 31529, 16597, 1013, 421, 29731, 983, 289, 472, 15132, 20299, 309, 491, 16, 2783, 9, 289, 430, 16, 11498, 9, 8774, 18, 478, 31019, 668, 12966, 602, 3127, 983, 8493, 567, 733, 32609, 424, 6457, 6365, 3989, 1791, 432, 2044, 46509, 2899, 16, 541, 1660, 289, 18851, 14057, 49379, 1087, 348, 49122, 1437, 282, 7544, 309, 33537, 14412, 20785, 910, 510, 18590, 4075, 22996, 1347, 29846, 24942, 2368, 10280, 2034, 94, 2058, 31043, 10149, 4084, 10374, 32653, 6235, 18, 478, 992, 3127, 983, 28293, 322, 8566, 27698, 49379, 18, 6434, 3305, 1943, 4976, 16, 374, 912, 30516, 3170, 2232, 14729, 16, 1655, 492, 322, 840, 20982, 22255, 281, 602, 3127, 983, 16, 481, 23068, 18, 740, 322, 3684, 16, 374, 602, 3127, 983, 14813, 1269, 4135, 16, 24219, 510, 3914, 448, 4905, 282, 41827, 1502, 432, 20921, 1165, 910, 510, 5273, 41330, 478, 8001, 476, 264, 20439, 26942, 16095, 41910, 21710, 18, 824, 4734, 32653, 6235, 16, 12512, 1698, 953, 26515, 15298, 281, 37065, 36101, 2514, 1791, 434, 16178, 289, 4982, 1134, 34831, 22139, 432, 24297, 510, 1302, 55, 42, 55, 289, 1302, 38669, 16, 502, 912, 282, 11683, 2236, 40536, 853, 7307, 18, 3791, 5702, 17648, 536, 16, 349, 2948, 1660, 602, 3127, 983, 24905, 34124, 30, 840, 520, 22996, 755, 26200, 2764, 281, 7043, 670, 575, 2302, 759, 13241, 451, 2590, 368, 16, 17857, 3788, 14697, 18, 740, 309, 3961, 24754, 322, 2353, 16419, 18, 478, 29731, 1182, 510, 481, 18276, 18, 459, 745, 9095, 3670, 7044, 16, 753, 678, 1142, 455, 3860, 3319, 9640, 16, 2805, 14517, 16, 374, 329, 5306, 4135, 7696, 289, 8768, 10047, 12232, 14125, 360, 13523, 28397, 7043, 910, 510, 18590, 41910, 21710, 18, 2, 1, 87, 1456, 81, 2448, 30, 8215, 20144, 49808, 5819, 1633, 343, 12020, 1633, 307, 13282, 10927, 281, 18813, 11896, 18924, 9783, 342, 3663, 999, 312, 14770, 16, 1029, 1760, 3598, 1038, 42295, 281, 9362, 353, 7796, 1552, 5306, 16, 5670, 289, 10676, 18, 640, 25909, 840, 8271, 9488, 387, 14949, 7203, 22075, 282, 4599, 28481, 11418, 281, 45914, 16, 411, 2024, 5548, 7451, 2145, 18, 31224, 30, 44495, 16, 18211, 289, 31981, 16, 5358, 1733, 5080, 2389, 453, 24941, 25514, 15154, 281, 45914, 16, 25009, 294, 7180, 954, 27480, 18, 2876, 5831, 2636, 4765, 9219, 4815, 668, 3300, 510, 50072, 26017, 488, 15920, 10839, 309, 1177, 2948, 18, 17944, 1760, 3598, 9216, 32975, 346, 11413, 22470, 5819, 1633, 343, 12020, 1633, 307, 13282, 9744, 281, 25189, 7796, 1552, 18924, 47635, 429, 3663, 9783, 27756, 304, 999, 312, 14770, 16, 567, 808, 1754, 492, 4848, 290, 7517, 4678, 16, 961, 4419, 7609, 282, 3507, 289, 25886, 1153, 18, 478, 1358, 2447, 25111, 16, 374, 5413, 12020, 1633, 307, 13282, 10927, 281, 999, 312, 14770, 16, 329, 1129, 906, 12031, 12373, 2750, 16, 492, 35270, 3064, 722, 290, 25909, 282, 3507, 289, 25886, 1153, 282, 4301, 13220, 334, 7180, 954, 25514, 15154, 16, 1542, 9200, 6268, 977, 910, 510, 6442, 282, 3781, 17, 12495, 8300, 6116, 3997, 7597, 16338, 18, 365, 1423, 3678, 16, 5037, 11896, 18924, 334, 8872, 47077, 16750, 281, 12020, 1633, 307, 2815, 16, 374, 697, 4077, 685, 478, 2499, 2676, 12310, 861, 1591, 2992, 11053, 2299, 1760, 3598, 5037, 20144, 49808, 1038, 24905, 19019, 281, 5037, 353, 11896, 10676, 16, 5306, 289, 5670, 16, 1011, 1660, 9934, 17437, 4765, 16, 309, 1754, 9985, 548, 9813, 530, 15604, 17241, 3193, 541, 17926, 32858, 7385, 11357, 48915, 1352, 12375, 5348, 473, 563, 677, 672, 822, 13, 1011, 29109, 411, 1047, 2145, 18, 30426, 672, 822, 685, 18566, 282, 2604, 1045, 1251, 45914, 281, 2059, 1963, 289, 44731, 16, 31469, 16, 8579, 5885, 16, 2145, 16, 38979, 289, 9609, 281, 2107, 18, 6592, 4957, 869, 6086, 16, 8711, 549, 7938, 18924, 36301, 424, 6457, 22880, 1009, 9899, 1605, 18, 12657, 411, 22912, 12794, 6325, 510, 29159, 343, 1782, 21358, 547, 6272, 334, 21597, 11188, 16282, 324, 541, 4981, 28481, 6617, 519, 1939, 4691, 779, 18, 365, 502, 575, 808, 12735, 322, 1623, 6508, 3728, 16435, 38978, 47787, 16, 367, 6048, 1807, 4421, 26292, 10969, 4546, 18, 22050, 322, 37726, 16, 374, 282, 10021, 750, 281, 2145, 29569, 309, 3961, 5538, 18, 4338, 4836, 5472, 1782, 21358, 324, 309, 803, 24682, 456, 510, 5037, 11896, 9783, 7088, 999, 18605, 16, 26713, 36971, 289, 14449, 451, 11449, 300, 16, 1029, 2397, 8585, 16891, 282, 7044, 18, 2667, 17761, 282, 24630, 388, 8099, 24510, 282, 1175, 289, 15770, 16, 988, 1038, 23054, 1279, 32362, 11418, 18, 12280, 8097, 16, 374, 3876, 3359, 773, 1011, 17761, 282, 25886, 375, 29562, 8471, 22257, 521, 2854, 18, 365, 1169, 492, 8566, 1423, 10927, 282, 25198, 478, 42167, 775, 6466, 289, 14157, 861, 817, 1038, 4725, 16, 374, 27081, 16, 374, 4765, 281, 9444, 7597, 289, 9362, 353, 13269, 2044, 6721, 8969, 481, 478, 272, 742, 2837, 24374, 49808, 861, 29322, 343, 2044, 7597, 3089, 20633, 647, 3003, 16, 2486, 2564, 435, 373, 8969, 4957, 16, 3621, 282, 2702, 48382, 4190, 18, 3747, 18211, 289, 15871, 24445, 24575, 15154, 16, 3361, 1251, 7396, 17986, 39469, 45087, 16, 10050, 9294, 39379, 21408, 19209, 9359, 18, 365, 502, 808, 428, 18211, 21890, 16, 374, 952, 1318, 312, 1917, 2837, 17475, 13951, 2145, 322, 895, 953, 7239, 16, 7064, 5306, 10050, 16, 374, 478, 39943, 726, 322, 895, 953, 11742, 861, 985, 5301, 9359, 16, 15871, 16, 478, 40779, 16, 27081, 16, 374, 36440, 1133, 11031, 282, 31279, 8070, 30468, 502, 16, 374, 745, 6881, 4770, 1518, 2236, 12783, 861, 985, 3665, 16, 329, 35621, 289, 22692, 12123, 45554, 8095, 448, 12658, 309, 19736, 4830, 2145, 5035, 35109, 34031, 18, 1178, 4770, 5670, 12198, 22875, 5888, 4048, 1368, 23140, 294, 2689, 2818, 21935, 6335, 371, 1699, 1068, 16, 5222, 5306, 38649, 24012, 7832, 294, 3130, 281, 27845, 20374, 345, 47122, 18, 889, 639, 4750, 567, 808, 30194, 17761, 9146, 13764, 282, 2145, 18, 967, 803, 567, 5670, 16, 1586, 7556, 44030, 10126, 668, 32452, 454, 16, 1143, 13173, 1031, 554, 18924, 282, 478, 6952, 547, 10126, 263, 861, 365, 5306, 16, 988, 360, 27673, 17245, 16, 309, 481, 17002, 281, 2107, 1963, 18, 2046, 360, 11993, 281, 45914, 1800, 1143, 1209, 14393, 1211, 15871 ]
[ 18, 640, 2089, 8362, 6110, 5259, 9, 17085, 7597, 282, 21649, 2127, 22945, 18, 15377, 11397, 17488, 11993, 281, 6097, 21649, 1703, 2658, 635, 510, 4836, 16, 374, 16311, 43604, 12606, 28510, 18, 2046, 2145, 9095, 3670, 16, 374, 1698, 12062, 10125, 294, 4307, 3787, 1078, 272, 18, 4199, 742, 13279, 4830, 334, 9526, 3623, 6260, 9176, 2467, 37290, 16, 374, 1011, 8421, 411, 21649, 718, 28481, 11418, 2145, 1698, 22617, 1279, 13269, 2241, 12435, 349, 15562, 281, 1782, 21358, 547, 18, 985, 4725, 9176, 2467, 16, 25780, 2567, 20785, 1279, 6271, 411, 2044, 22470, 5917, 360, 10108, 49099, 2044, 18, 478, 2176, 32746, 16, 374, 4789, 873, 33897, 16, 374, 282, 15614, 6031, 697, 2354, 282, 970, 16, 753, 20131, 281, 3928, 2994, 1369, 7412, 392, 65, 910, 510, 15875, 8348, 9176, 5097, 6080, 478, 13261, 861, 2145, 322, 3097, 1867, 16, 374, 697, 5977, 11187, 43604, 8714, 282, 2802, 2612, 281, 4377, 1116, 15274, 334, 11135, 18924, 16, 1220, 10250, 7265, 5549, 3276, 26669, 31988, 309, 31930, 15939, 18, 478, 563, 2430, 553, 2145, 9600, 6859, 530, 25850, 2241, 10419, 360, 14955, 281, 45914, 16, 827, 541, 1129, 322, 840, 11742, 13652, 3947, 891, 334, 15166, 23990, 25045, 910, 510, 1109, 4419, 478, 46088, 18, 8381, 470, 36641, 2068, 2610, 32289, 43746, 50189, 1605, 7641, 18748, 4210, 10550, 2931, 18, 365, 1423, 3678, 16, 12987, 334, 17644, 3756, 19205, 272, 16, 21576, 12189, 1180, 32099, 12266, 7085, 565, 27943, 5717, 282, 30967, 1782, 13936, 10056, 19554, 10050, 16, 374, 41945, 2145, 1727, 3576, 1634, 14971, 282, 16109, 16, 309, 17644, 883, 19205, 289, 282, 9071, 4368, 439, 10300, 541, 924, 16, 753, 478, 287, 6375, 19129, 6730, 281, 6341, 5613, 861, 478, 26404, 6696, 14919, 9304, 2110, 367, 26497, 14412, 11548, 18924, 16, 367, 1038, 11763, 519, 20853, 16, 961, 16, 2628, 16, 749, 17142, 3497, 15715, 7412, 392, 289, 3279, 1320, 1381, 4366, 4093, 7163, 12056, 910, 510, 10050, 12189, 18, 28616, 1038, 25156, 16, 374, 2145, 1747, 22562, 11440, 309, 8579, 1433, 510, 8300, 5508, 837, 2145, 282, 7044, 18, 7249, 309, 502, 374, 1542, 8768, 15349, 28510, 16, 15243, 1800, 34894, 510, 42563, 282, 24393, 263, 16, 453, 428, 3164, 309, 20228, 411, 1047, 289, 282, 2630, 281, 2184, 1143, 5666, 1957, 3465, 3707, 18, 967, 803, 16, 10079, 1885, 3701, 982, 13756, 353, 5508, 4151, 16, 2145, 322, 15032, 7045, 48967, 16, 4266, 25850, 9985, 548, 18, 1415, 303, 26642, 12619, 282, 2145, 16722, 415, 11, 563, 20385, 1736, 2815, 16, 374, 282, 5734, 2083, 22154, 322, 6455, 2309, 416, 48967, 541, 21649, 680, 25514, 15154, 18, 478, 4348, 322, 7967, 14615, 15305, 19420, 289, 2309, 416, 48967, 30426, 672, 822, 18, 48246, 869, 4538, 16, 2145, 1055, 322, 16670, 14615, 15305, 19420, 48967, 537, 519, 16, 537, 1011, 924, 16, 428, 4770, 3404, 8348, 1488, 3598, 2994, 262, 20228, 23990, 25045, 411, 25514, 15154, 3925, 459, 656, 7614, 339, 12327, 360, 6937, 16, 428, 1542, 11811, 4489, 895, 13168, 910, 510, 1109, 415, 11, 563, 20385, 1736, 567, 808, 11815, 282, 5214, 44811, 18195, 16, 5923, 6080, 478, 13261, 861, 1760, 3598, 309, 14597, 12373, 2324, 434, 7586, 478, 49017, 14030, 470, 15162, 21394, 4096, 281, 27653, 2145, 411, 21649, 680, 25514, 15154, 18, 365, 21963, 13694, 3455, 44241, 7179, 21770, 4529, 4210, 9057, 296, 523, 18, 824, 505, 3163, 16, 282, 19862, 955, 293, 5089, 1207, 322, 15962, 16, 374, 2145, 1698, 26581, 2159, 3003, 396, 7412, 392, 18, 478, 4408, 18980, 11896, 16, 16685, 287, 8389, 4075, 477, 1963, 2145, 322, 840, 18, 22154, 44612, 6993, 10565, 910, 510, 1109, 36971, 18, 9057, 296, 523, 9299, 16, 374, 3771, 5273, 15371, 17355, 11993, 282, 4301, 30426, 672, 822, 749, 2145, 16, 2686, 4725, 16, 374, 7457, 840, 24960, 360, 26724, 5348, 13269, 12360, 18, 478, 32263, 1247, 282, 970, 16, 8162, 520, 10969, 23603, 16, 3229, 1223, 16, 282, 13269, 7338, 18, 19183, 642, 520, 745, 9193, 5065, 13273, 28820, 617, 15901, 31629, 16, 1586, 373, 20147, 773, 10846, 15562, 281, 21649, 3334, 26696, 282, 4190, 21947, 13951, 910, 510, 9848, 9057, 296, 523, 18, 817, 5692, 16, 374, 13051, 448, 13189, 912, 510, 1055, 25850, 14703, 46980, 48726, 10030, 282, 30426, 672, 822, 16, 428, 289, 3771, 289, 9807, 18, 478, 4408, 7168, 6927, 6710, 16, 9099, 28349, 2145, 16, 11419, 3964, 322, 687, 281, 45914, 16, 18955, 19427, 329, 28397, 7321, 910, 510, 1109, 44241, 7179, 21770, 4529, 18, 478, 4441, 27849, 309, 28044, 18, 1178, 2874, 8885, 30850, 11771, 1619, 16680, 16, 502, 7933, 3222, 1760, 4189, 1949, 16981, 5521, 7037, 31950, 30426, 672, 822, 895, 9555, 9268, 910, 510, 13749, 36971, 18, 23569, 16986, 21666, 289, 3623, 11303, 44996, 523, 282, 4542, 21963, 282, 478, 49017, 347, 263, 470, 1038, 2815, 16, 374, 3348, 411, 22912, 8468, 17926, 30426, 672, 822, 1623, 19900, 13269, 12360, 334, 30426, 672, 822, 44223, 12735, 289, 6125, 6138, 6198, 541, 7620, 7321, 18, 478, 29160, 16, 1747, 520, 6354, 25850, 2553, 8538, 309, 20928, 13013, 281, 2145, 18, 4320, 417, 322, 5829, 282, 7044, 2900, 8261, 18, 629, 322, 5829, 27462, 8165, 1727, 7194, 309, 502, 16, 753, 13864, 2241, 910, 510, 39300, 12189, 18, 4756, 27661, 516, 10839, 282, 10936, 541, 478, 32485, 18, 8381, 470, 33407, 937, 8851, 19713, 1175, 282, 48456, 16, 3203, 7586, 478, 49017, 14030, 470, 3720, 43254, 1015, 18, 817, 1038, 3893, 16, 374, 4836, 9452, 282, 970, 16, 5870, 3964, 6354, 8538, 4789, 873, 30, 478, 29160, 9452, 282, 970, 16, 30900, 1886, 520, 25850, 2553, 8538, 309, 3844, 1368, 18703, 281, 2145, 289, 10906, 520, 745, 9994, 1086, 2273, 507, 266, 1822, 5855, 30774, 1330, 16, 16510, 28343, 2658, 635, 289, 1538, 8412, 609, 2435, 1125, 2131, 353, 281, 47377, 20921, 761, 2422, 2332, 18924, 861, 2, 1, 87, 1456, 81, 2448, 30, 672, 18297, 1731, 4770, 680, 25678, 309, 4862, 9001, 18334, 718, 25732, 18291, 282, 8773, 16, 753, 478, 4031, 990, 3260, 15258, 11701, 282, 2801, 1045, 861, 9668, 7920, 11919, 11007, 334, 49319, 3276, 40126, 9543, 528, 339, 41959, 2815, 16, 374, 478, 10888, 484, 16, 374, 329, 18334, 718, 8162, 39821, 29084, 4903, 539, 861, 824, 505, 3163, 16, 9805, 8773, 478, 11393, 266, 541, 1209, 16, 1085, 3957, 18291, 3666, 281, 12408, 861, 31224, 30, 33408 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18, 640, 2089, 8362, 6110, 5259, 9, 17085, 7597, 282, 21649, 2127, 22945, 18, 15377, 11397, 17488, 11993, 281, 6097, 21649, 1703, 2658, 635, 510, 4836, 16, 374, 16311, 43604, 12606, 28510, 18, 2046, 2145, 9095, 3670, 16, 374, 1698, 12062, 10125, 294, 4307, 3787, 1078, 272, 18, 4199, 742, 13279, 4830, 334, 9526, 3623, 6260, 9176, 2467, 37290, 16, 374, 1011, 8421, 411, 21649, 718, 28481, 11418, 2145, 1698, 22617, 1279, 13269, 2241, 12435, 349, 15562, 281, 1782, 21358, 547, 18, 985, 4725, 9176, 2467, 16, 25780, 2567, 20785, 1279, 6271, 411, 2044, 22470, 5917, 360, 10108, 49099, 2044, 18, 478, 2176, 32746, 16, 374, 4789, 873, 33897, 16, 374, 282, 15614, 6031, 697, 2354, 282, 970, 16, 753, 20131, 281, 3928, 2994, 1369, 7412, 392, 65, 910, 510, 15875, 8348, 9176, 5097, 6080, 478, 13261, 861, 2145, 322, 3097, 1867, 16, 374, 697, 5977, 11187, 43604, 8714, 282, 2802, 2612, 281, 4377, 1116, 15274, 334, 11135, 18924, 16, 1220, 10250, 7265, 5549, 3276, 26669, 31988, 309, 31930, 15939, 18, 478, 563, 2430, 553, 2145, 9600, 6859, 530, 25850, 2241, 10419, 360, 14955, 281, 45914, 16, 827, 541, 1129, 322, 840, 11742, 13652, 3947, 891, 334, 15166, 23990, 25045, 910, 510, 1109, 4419, 478, 46088, 18, 8381, 470, 36641, 2068, 2610, 32289, 43746, 50189, 1605, 7641, 18748, 4210, 10550, 2931, 18, 365, 1423, 3678, 16, 12987, 334, 17644, 3756, 19205, 272, 16, 21576, 12189, 1180, 32099, 12266, 7085, 565, 27943, 5717, 282, 30967, 1782, 13936, 10056, 19554, 10050, 16, 374, 41945, 2145, 1727, 3576, 1634, 14971, 282, 16109, 16, 309, 17644, 883, 19205, 289, 282, 9071, 4368, 439, 10300, 541, 924, 16, 753, 478, 287, 6375, 19129, 6730, 281, 6341, 5613, 861, 478, 26404, 6696, 14919, 9304, 2110, 367, 26497, 14412, 11548, 18924, 16, 367, 1038, 11763, 519, 20853, 16, 961, 16, 2628, 16, 749, 17142, 3497, 15715, 7412, 392, 289, 3279, 1320, 1381, 4366, 4093, 7163, 12056, 910, 510, 10050, 12189, 18, 28616, 1038, 25156, 16, 374, 2145, 1747, 22562, 11440, 309, 8579, 1433, 510, 8300, 5508, 837, 2145, 282, 7044, 18, 7249, 309, 502, 374, 1542, 8768, 15349, 28510, 16, 15243, 1800, 34894, 510, 42563, 282, 24393, 263, 16, 453, 428, 3164, 309, 20228, 411, 1047, 289, 282, 2630, 281, 2184, 1143, 5666, 1957, 3465, 3707, 18, 967, 803, 16, 10079, 1885, 3701, 982, 13756, 353, 5508, 4151, 16, 2145, 322, 15032, 7045, 48967, 16, 4266, 25850, 9985, 548, 18, 1415, 303, 26642, 12619, 282, 2145, 16722, 415, 11, 563, 20385, 1736, 2815, 16, 374, 282, 5734, 2083, 22154, 322, 6455, 2309, 416, 48967, 541, 21649, 680, 25514, 15154, 18, 478, 4348, 322, 7967, 14615, 15305, 19420, 289, 2309, 416, 48967, 30426, 672, 822, 18, 48246, 869, 4538, 16, 2145, 1055, 322, 16670, 14615, 15305, 19420, 48967, 537, 519, 16, 537, 1011, 924, 16, 428, 4770, 3404, 8348, 1488, 3598, 2994, 262, 20228, 23990, 25045, 411, 25514, 15154, 3925, 459, 656, 7614, 339, 12327, 360, 6937, 16, 428, 1542, 11811, 4489, 895, 13168, 910, 510, 1109, 415, 11, 563, 20385, 1736, 567, 808, 11815, 282, 5214, 44811, 18195, 16, 5923, 6080, 478, 13261, 861, 1760, 3598, 309, 14597, 12373, 2324, 434, 7586, 478, 49017, 14030, 470, 15162, 21394, 4096, 281, 27653, 2145, 411, 21649, 680, 25514, 15154, 18, 365, 21963, 13694, 3455, 44241, 7179, 21770, 4529, 4210, 9057, 296, 523, 18, 824, 505, 3163, 16, 282, 19862, 955, 293, 5089, 1207, 322, 15962, 16, 374, 2145, 1698, 26581, 2159, 3003, 396, 7412, 392, 18, 478, 4408, 18980, 11896, 16, 16685, 287, 8389, 4075, 477, 1963, 2145, 322, 840, 18, 22154, 44612, 6993, 10565, 910, 510, 1109, 36971, 18, 9057, 296, 523, 9299, 16, 374, 3771, 5273, 15371, 17355, 11993, 282, 4301, 30426, 672, 822, 749, 2145, 16, 2686, 4725, 16, 374, 7457, 840, 24960, 360, 26724, 5348, 13269, 12360, 18, 478, 32263, 1247, 282, 970, 16, 8162, 520, 10969, 23603, 16, 3229, 1223, 16, 282, 13269, 7338, 18, 19183, 642, 520, 745, 9193, 5065, 13273, 28820, 617, 15901, 31629, 16, 1586, 373, 20147, 773, 10846, 15562, 281, 21649, 3334, 26696, 282, 4190, 21947, 13951, 910, 510, 9848, 9057, 296, 523, 18, 817, 5692, 16, 374, 13051, 448, 13189, 912, 510, 1055, 25850, 14703, 46980, 48726, 10030, 282, 30426, 672, 822, 16, 428, 289, 3771, 289, 9807, 18, 478, 4408, 7168, 6927, 6710, 16, 9099, 28349, 2145, 16, 11419, 3964, 322, 687, 281, 45914, 16, 18955, 19427, 329, 28397, 7321, 910, 510, 1109, 44241, 7179, 21770, 4529, 18, 478, 4441, 27849, 309, 28044, 18, 1178, 2874, 8885, 30850, 11771, 1619, 16680, 16, 502, 7933, 3222, 1760, 4189, 1949, 16981, 5521, 7037, 31950, 30426, 672, 822, 895, 9555, 9268, 910, 510, 13749, 36971, 18, 23569, 16986, 21666, 289, 3623, 11303, 44996, 523, 282, 4542, 21963, 282, 478, 49017, 347, 263, 470, 1038, 2815, 16, 374, 3348, 411, 22912, 8468, 17926, 30426, 672, 822, 1623, 19900, 13269, 12360, 334, 30426, 672, 822, 44223, 12735, 289, 6125, 6138, 6198, 541, 7620, 7321, 18, 478, 29160, 16, 1747, 520, 6354, 25850, 2553, 8538, 309, 20928, 13013, 281, 2145, 18, 4320, 417, 322, 5829, 282, 7044, 2900, 8261, 18, 629, 322, 5829, 27462, 8165, 1727, 7194, 309, 502, 16, 753, 13864, 2241, 910, 510, 39300, 12189, 18, 4756, 27661, 516, 10839, 282, 10936, 541, 478, 32485, 18, 8381, 470, 33407, 937, 8851, 19713, 1175, 282, 48456, 16, 3203, 7586, 478, 49017, 14030, 470, 3720, 43254, 1015, 18, 817, 1038, 3893, 16, 374, 4836, 9452, 282, 970, 16, 5870, 3964, 6354, 8538, 4789, 873, 30, 478, 29160, 9452, 282, 970, 16, 30900, 1886, 520, 25850, 2553, 8538, 309, 3844, 1368, 18703, 281, 2145, 289, 10906, 520, 745, 9994, 1086, 2273, 507, 266, 1822, 5855, 30774, 1330, 16, 16510, 28343, 2658, 635, 289, 1538, 8412, 609, 2435, 1125, 2131, 353, 281, 47377, 20921, 761, 2422, 2332, 18924, 861, 2, 1, 87, 1456, 81, 2448, 30, 672, 18297, 1731, 4770, 680, 25678, 309, 4862, 9001, 18334, 718, 25732, 18291, 282, 8773, 16, 753, 478, 4031, 990, 3260, 15258, 11701, 282, 2801, 1045, 861, 9668, 7920, 11919, 11007, 334, 49319, 3276, 40126, 9543, 528, 339, 41959, 2815, 16, 374, 478, 10888, 484, 16, 374, 329, 18334, 718, 8162, 39821, 29084, 4903, 539, 861, 824, 505, 3163, 16, 9805, 8773, 478, 11393, 266, 541, 1209, 16, 1085, 3957, 18291, 3666, 281, 12408, 861, 31224, 30, 33408 ]
[ 18334, 778, 16, 27232, 4770, 680, 25678, 309, 4862, 16, 895, 18291, 282, 8773, 16, 753, 3319, 3955, 5298, 309, 9805, 5549, 16, 2815, 8624, 7920, 11919, 11007, 334, 49319, 3276, 40126, 9543, 528, 339, 41959, 18, 478, 4348, 31867, 16, 374, 329, 9001, 18334, 718, 8162, 39821, 29084, 4903, 448, 4465, 16, 3670, 289, 11211, 3260, 15258, 11701, 16, 48393, 2852, 986, 2158, 282, 4356, 1360, 21840, 34097, 510, 1175, 910, 510, 2815, 11919, 1502, 18, 817, 5692, 16, 374, 9805, 8773, 478, 11393, 266, 541, 1209, 16, 1085, 3957, 18291, 3666, 281, 12408, 289, 5298, 16, 11256, 44792, 2435, 40169, 17993, 5549, 861, 528, 339, 41959, 1038, 3404, 37618, 6152, 10035, 1354, 2665, 282, 7823, 510, 492, 25482, 16, 374, 18347, 30870, 1747, 9625, 38457, 1330, 4090, 4830, 18, 1760, 4238, 282, 33259, 18334, 718, 8526, 4030, 2159, 6843, 294, 18271, 554, 597, 334, 14613, 18, 23656, 12183, 12002, 16, 374, 322, 32629, 3003, 15258, 11701, 282, 2801, 1045, 18, 365, 502, 575, 808, 32246, 20449, 25262, 16487, 622, 31858, 281, 26150, 18, 478, 5673, 22023, 478, 298, 4323, 2540, 470, 322, 895, 23503, 1069, 496, 16, 4849, 26690, 290, 49732, 12885, 511, 691, 806, 2431, 5303, 11007, 910, 510, 5130, 282, 23032, 12183, 18334, 718, 18, 24295, 35675, 6096, 34359, 523, 6463, 282, 3177, 43287, 16, 374, 2701, 885, 564, 38345, 282, 32712, 2665, 27402, 18334, 1703, 36987, 290, 12215, 763, 11007, 294, 1175, 1623, 478, 12920, 406, 12353, 5325, 16, 753, 322, 23588, 7282, 282, 2539, 263, 861, 478, 3743, 541, 1175, 289, 11007, 481, 1721, 956, 1769, 18, 472, 1306, 1924, 7564, 1465, 289, 30962, 318, 537, 309, 374, 322, 28266, 910, 510, 9299, 3203, 2231, 2800, 347, 18, 817, 1038, 27834, 16, 374, 2259, 294, 7786, 30806, 281, 12984, 1175, 27402, 30012, 18, 824, 3163, 14769, 11268, 16, 492, 5273, 21685, 3111, 478, 262, 2968, 282, 14039, 470, 282, 15575, 7620, 2044, 16101, 18, 3569, 1133, 11418, 1513, 10846, 26387, 16, 515, 583, 25617, 1513, 12631, 16, 5692, 18334, 778, 18, 478, 2997, 14462, 1086, 11711, 353, 289, 5578, 322, 3984, 2002, 16, 510, 9299, 492, 18, 510, 5257, 374, 2552, 1119, 656, 31750, 7949, 30, 3176, 3338, 12032, 29140, 309, 14656, 861, 430, 4238, 16555, 282, 32712, 2665, 4137, 18334, 778, 2815, 16, 374, 9733, 12981, 281, 12984, 1175, 27402, 30012, 687, 1011, 478, 1386, 1431, 2005, 470, 4862, 11007, 289, 19921, 18, 9639, 5042, 942, 2048, 411, 5606, 1280, 16, 961, 18334, 778, 3957, 2023, 29813, 371, 9155, 510, 492, 9733, 478, 293, 4658, 1086, 17788, 12806, 1437, 470, 294, 478, 26686, 1541, 35745, 470, 2760, 552, 7800, 18, 478, 6161, 417, 10927, 357, 281, 49845, 30012, 16, 417, 975, 8188, 30, 478, 7448, 16, 3210, 17, 299, 16, 387, 34300, 2874, 2923, 16, 3176, 764, 6354, 40825, 4135, 349, 502, 16, 374, 387, 48092, 2874, 2923, 5433, 510, 2815, 18334, 778, 18, 2949, 924, 16, 334, 3163, 20449, 16, 492, 35710, 329, 9620, 12806, 1437, 349, 8156, 36303, 30779, 13166, 16428, 289, 20934, 18642, 26757, 18, 18334, 778, 8566, 4905, 21294, 2801, 779, 478, 899, 18028, 16, 49580, 289, 15198, 5966, 6929, 861, 8773, 289, 34537, 9311, 282, 2452, 1175, 309, 19078, 19803, 22941, 282, 11500, 2801, 779, 16, 1011, 1087, 6781, 25553, 309, 4862, 289, 1720, 286, 14897, 434, 36987, 309, 34162, 16, 282, 2114, 478, 431, 470, 43582, 282, 2452, 1175, 5860, 887, 1033, 19779, 9, 411, 16738, 29017, 6459, 9, 21385, 18, 6980, 16, 7597, 289, 2145, 17245, 38368, 9805, 20383, 48313, 1195, 4035, 4019, 18, 6732, 16, 282, 1423, 3678, 16, 2815, 282, 8151, 3802, 4145, 779, 16, 374, 15258, 30716, 41280, 2159, 6106, 289, 1247, 290, 24179, 11007, 478, 25437, 3728, 26357, 861, 365, 28138, 10144, 4830, 6732, 282, 7337, 2815, 16, 374, 8468, 541, 14574, 11007, 282, 2452, 2665, 478, 404, 2031, 847, 2002, 861, 365, 11379, 11179, 31439, 6551, 567, 478, 275, 755, 4513, 470, 309, 13012, 16, 515, 20481, 36849, 4534, 294, 40699, 24956, 282, 14039, 5657, 3890, 453, 289, 322, 639, 18, 365, 502, 575, 808, 3771, 29230, 16, 374, 322, 1623, 16870, 13923, 14769, 11220, 289, 322, 17625, 19612, 4287, 13586, 289, 22397, 35089, 16, 22551, 289, 15861, 3599, 18, 2949, 924, 16, 30352, 11451, 32933, 2904, 2044, 16101, 309, 45013, 14512, 10285, 1423, 2301, 44028, 27480, 16, 282, 1639, 31163, 318, 23724, 36599, 9322, 11220, 282, 14039, 18, 25652, 17, 15975, 4830, 2407, 6370, 26334, 17684, 8348, 20449, 282, 32712, 2665, 9001, 18334, 718, 290, 970, 16, 374, 5343, 2879, 9078, 18347, 2923, 289, 36089, 39288, 40228, 18, 26334, 4725, 16, 374, 3771, 322, 19646, 2712, 2923, 8193, 16, 367, 6295, 282, 14039, 1623, 23285, 6569, 12201, 11944, 18, 21970, 11007, 4521, 322, 29881, 6268, 954, 282, 38945, 22668, 16, 9299, 5854, 21569, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 27296, 17, 15900, 25547, 2266, 23682, 470, 45300, 326, 478, 4925, 354, 2594, 29976, 755, 288, 470, 289, 3221, 9529, 2948, 282, 7756, 30, 491, 17, 22, 18, 13564, 526, 309, 14540, 415, 43123, 37808, 21145, 16, 764, 334, 15277, 636, 10258, 1651, 9065, 2895, 289, 26060, 22048, 868, 18, 478, 563, 798, 1250, 470, 282, 28138, 25193, 7977, 411, 17, 431, 17336, 520, 17091, 12063, 38121, 12995, 1265, 853, 289, 1143, 9271, 10065, 17185, 5017, 2389, 36222, 16, 12425, 37241, 5514, 12764, 20323, 18, 31224, 30, 471, 730, 5944, 2266, 1952, 470, 6993, 36462, 4732, 23708, 4314, 19311, 1279, 478, 4925, 354, 560, 910, 329, 22603, 282, 1949, 5606, 38369, 477, 12932, 430, 30, 22, 289, 1061, 30, 26, 473, 630, 789, 934, 289, 14855, 965, 282, 6993, 6018, 668, 6730, 16, 2686, 334, 22704, 282, 6835, 17, 15900, 34300, 475, 309, 1617, 2223, 18, 365, 9937, 16, 816, 3598, 16, 745, 309, 3177, 27027, 322, 13747, 7739, 3033, 20163, 473, 24, 30, 21, 934, 367, 6396, 1272, 2299, 6075, 326, 6441, 18, 6290, 3303, 4269, 2384, 1313, 6548, 9680, 478, 563, 798, 755, 288, 470, 10671, 6606, 466, 13749, 16, 374, 20662, 2117, 7756, 505, 21166, 3328, 1965, 322, 1194, 977, 16, 289, 334, 10888, 3382, 16, 374, 15406, 745, 322, 6539, 266, 18, 478, 16745, 16, 428, 656, 14725, 282, 15301, 8267, 281, 478, 730, 5944, 2266, 23682, 910, 639, 1139, 1218, 44932, 1151, 18, 38325, 16452, 274, 16, 2486, 656, 12362, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18334, 778, 16, 27232, 4770, 680, 25678, 309, 4862, 16, 895, 18291, 282, 8773, 16, 753, 3319, 3955, 5298, 309, 9805, 5549, 16, 2815, 8624, 7920, 11919, 11007, 334, 49319, 3276, 40126, 9543, 528, 339, 41959, 18, 478, 4348, 31867, 16, 374, 329, 9001, 18334, 718, 8162, 39821, 29084, 4903, 448, 4465, 16, 3670, 289, 11211, 3260, 15258, 11701, 16, 48393, 2852, 986, 2158, 282, 4356, 1360, 21840, 34097, 510, 1175, 910, 510, 2815, 11919, 1502, 18, 817, 5692, 16, 374, 9805, 8773, 478, 11393, 266, 541, 1209, 16, 1085, 3957, 18291, 3666, 281, 12408, 289, 5298, 16, 11256, 44792, 2435, 40169, 17993, 5549, 861, 528, 339, 41959, 1038, 3404, 37618, 6152, 10035, 1354, 2665, 282, 7823, 510, 492, 25482, 16, 374, 18347, 30870, 1747, 9625, 38457, 1330, 4090, 4830, 18, 1760, 4238, 282, 33259, 18334, 718, 8526, 4030, 2159, 6843, 294, 18271, 554, 597, 334, 14613, 18, 23656, 12183, 12002, 16, 374, 322, 32629, 3003, 15258, 11701, 282, 2801, 1045, 18, 365, 502, 575, 808, 32246, 20449, 25262, 16487, 622, 31858, 281, 26150, 18, 478, 5673, 22023, 478, 298, 4323, 2540, 470, 322, 895, 23503, 1069, 496, 16, 4849, 26690, 290, 49732, 12885, 511, 691, 806, 2431, 5303, 11007, 910, 510, 5130, 282, 23032, 12183, 18334, 718, 18, 24295, 35675, 6096, 34359, 523, 6463, 282, 3177, 43287, 16, 374, 2701, 885, 564, 38345, 282, 32712, 2665, 27402, 18334, 1703, 36987, 290, 12215, 763, 11007, 294, 1175, 1623, 478, 12920, 406, 12353, 5325, 16, 753, 322, 23588, 7282, 282, 2539, 263, 861, 478, 3743, 541, 1175, 289, 11007, 481, 1721, 956, 1769, 18, 472, 1306, 1924, 7564, 1465, 289, 30962, 318, 537, 309, 374, 322, 28266, 910, 510, 9299, 3203, 2231, 2800, 347, 18, 817, 1038, 27834, 16, 374, 2259, 294, 7786, 30806, 281, 12984, 1175, 27402, 30012, 18, 824, 3163, 14769, 11268, 16, 492, 5273, 21685, 3111, 478, 262, 2968, 282, 14039, 470, 282, 15575, 7620, 2044, 16101, 18, 3569, 1133, 11418, 1513, 10846, 26387, 16, 515, 583, 25617, 1513, 12631, 16, 5692, 18334, 778, 18, 478, 2997, 14462, 1086, 11711, 353, 289, 5578, 322, 3984, 2002, 16, 510, 9299, 492, 18, 510, 5257, 374, 2552, 1119, 656, 31750, 7949, 30, 3176, 3338, 12032, 29140, 309, 14656, 861, 430, 4238, 16555, 282, 32712, 2665, 4137, 18334, 778, 2815, 16, 374, 9733, 12981, 281, 12984, 1175, 27402, 30012, 687, 1011, 478, 1386, 1431, 2005, 470, 4862, 11007, 289, 19921, 18, 9639, 5042, 942, 2048, 411, 5606, 1280, 16, 961, 18334, 778, 3957, 2023, 29813, 371, 9155, 510, 492, 9733, 478, 293, 4658, 1086, 17788, 12806, 1437, 470, 294, 478, 26686, 1541, 35745, 470, 2760, 552, 7800, 18, 478, 6161, 417, 10927, 357, 281, 49845, 30012, 16, 417, 975, 8188, 30, 478, 7448, 16, 3210, 17, 299, 16, 387, 34300, 2874, 2923, 16, 3176, 764, 6354, 40825, 4135, 349, 502, 16, 374, 387, 48092, 2874, 2923, 5433, 510, 2815, 18334, 778, 18, 2949, 924, 16, 334, 3163, 20449, 16, 492, 35710, 329, 9620, 12806, 1437, 349, 8156, 36303, 30779, 13166, 16428, 289, 20934, 18642, 26757, 18, 18334, 778, 8566, 4905, 21294, 2801, 779, 478, 899, 18028, 16, 49580, 289, 15198, 5966, 6929, 861, 8773, 289, 34537, 9311, 282, 2452, 1175, 309, 19078, 19803, 22941, 282, 11500, 2801, 779, 16, 1011, 1087, 6781, 25553, 309, 4862, 289, 1720, 286, 14897, 434, 36987, 309, 34162, 16, 282, 2114, 478, 431, 470, 43582, 282, 2452, 1175, 5860, 887, 1033, 19779, 9, 411, 16738, 29017, 6459, 9, 21385, 18, 6980, 16, 7597, 289, 2145, 17245, 38368, 9805, 20383, 48313, 1195, 4035, 4019, 18, 6732, 16, 282, 1423, 3678, 16, 2815, 282, 8151, 3802, 4145, 779, 16, 374, 15258, 30716, 41280, 2159, 6106, 289, 1247, 290, 24179, 11007, 478, 25437, 3728, 26357, 861, 365, 28138, 10144, 4830, 6732, 282, 7337, 2815, 16, 374, 8468, 541, 14574, 11007, 282, 2452, 2665, 478, 404, 2031, 847, 2002, 861, 365, 11379, 11179, 31439, 6551, 567, 478, 275, 755, 4513, 470, 309, 13012, 16, 515, 20481, 36849, 4534, 294, 40699, 24956, 282, 14039, 5657, 3890, 453, 289, 322, 639, 18, 365, 502, 575, 808, 3771, 29230, 16, 374, 322, 1623, 16870, 13923, 14769, 11220, 289, 322, 17625, 19612, 4287, 13586, 289, 22397, 35089, 16, 22551, 289, 15861, 3599, 18, 2949, 924, 16, 30352, 11451, 32933, 2904, 2044, 16101, 309, 45013, 14512, 10285, 1423, 2301, 44028, 27480, 16, 282, 1639, 31163, 318, 23724, 36599, 9322, 11220, 282, 14039, 18, 25652, 17, 15975, 4830, 2407, 6370, 26334, 17684, 8348, 20449, 282, 32712, 2665, 9001, 18334, 718, 290, 970, 16, 374, 5343, 2879, 9078, 18347, 2923, 289, 36089, 39288, 40228, 18, 26334, 4725, 16, 374, 3771, 322, 19646, 2712, 2923, 8193, 16, 367, 6295, 282, 14039, 1623, 23285, 6569, 12201, 11944, 18, 21970, 11007, 4521, 322, 29881, 6268, 954, 282, 38945, 22668, 16, 9299, 5854, 21569, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 27296, 17, 15900, 25547, 2266, 23682, 470, 45300, 326, 478, 4925, 354, 2594, 29976, 755, 288, 470, 289, 3221, 9529, 2948, 282, 7756, 30, 491, 17, 22, 18, 13564, 526, 309, 14540, 415, 43123, 37808, 21145, 16, 764, 334, 15277, 636, 10258, 1651, 9065, 2895, 289, 26060, 22048, 868, 18, 478, 563, 798, 1250, 470, 282, 28138, 25193, 7977, 411, 17, 431, 17336, 520, 17091, 12063, 38121, 12995, 1265, 853, 289, 1143, 9271, 10065, 17185, 5017, 2389, 36222, 16, 12425, 37241, 5514, 12764, 20323, 18, 31224, 30, 471, 730, 5944, 2266, 1952, 470, 6993, 36462, 4732, 23708, 4314, 19311, 1279, 478, 4925, 354, 560, 910, 329, 22603, 282, 1949, 5606, 38369, 477, 12932, 430, 30, 22, 289, 1061, 30, 26, 473, 630, 789, 934, 289, 14855, 965, 282, 6993, 6018, 668, 6730, 16, 2686, 334, 22704, 282, 6835, 17, 15900, 34300, 475, 309, 1617, 2223, 18, 365, 9937, 16, 816, 3598, 16, 745, 309, 3177, 27027, 322, 13747, 7739, 3033, 20163, 473, 24, 30, 21, 934, 367, 6396, 1272, 2299, 6075, 326, 6441, 18, 6290, 3303, 4269, 2384, 1313, 6548, 9680, 478, 563, 798, 755, 288, 470, 10671, 6606, 466, 13749, 16, 374, 20662, 2117, 7756, 505, 21166, 3328, 1965, 322, 1194, 977, 16, 289, 334, 10888, 3382, 16, 374, 15406, 745, 322, 6539, 266, 18, 478, 16745, 16, 428, 656, 14725, 282, 15301, 8267, 281, 478, 730, 5944, 2266, 23682, 910, 639, 1139, 1218, 44932, 1151, 18, 38325, 16452, 274, 16, 2486, 656, 12362, 16 ]
[ 639, 4803, 10949, 28570, 16, 281, 2733, 3149, 304, 294, 6619, 2955, 20850, 935, 282, 6576, 547, 12013, 18, 10942, 656, 9996, 7964, 4652, 2706, 4744, 2449, 349, 5199, 16, 5272, 20635, 4110, 1223, 2287, 16, 510, 15875, 6606, 466, 3781, 17, 9952, 18389, 18, 510, 889, 935, 322, 8690, 294, 5163, 552, 16, 289, 656, 481, 7836, 18, 365, 13420, 9155, 656, 322, 5087, 11721, 1190, 18042, 874, 453, 1269, 45921, 366, 18, 38625, 8602, 16, 656, 726, 939, 2944, 322, 14725, 453, 4702, 18, 365, 7756, 281, 478, 983, 2243, 375, 288, 470, 656, 40900, 1272, 7977, 16, 515, 25509, 282, 1129, 939, 11723, 18, 27025, 1857, 9218, 10664, 668, 5199, 10427, 5366, 18, 967, 803, 417, 322, 9763, 16, 515, 1299, 1513, 7457, 12631, 1717, 282, 6829, 4466, 18, 10113, 19631, 40111, 21330, 282, 7756, 281, 478, 983, 4476, 1305, 470, 289, 282, 5606, 1949, 38369, 281, 478, 730, 5944, 2266, 23682, 861, 1345, 28668, 282, 13375, 16, 1548, 374, 42332, 33110, 9885, 22623, 18, 16476, 16, 656, 1139, 322, 6745, 16, 5870, 3521, 315, 895, 13168, 42262, 16, 515, 1441, 7836, 289, 6354, 294, 2856, 18, 478, 4925, 354, 546, 470, 1513, 6622, 6281, 282, 19329, 1974, 477, 18653, 2509, 282, 13090, 31860, 16, 367, 322, 1939, 1879, 6396, 16, 428, 481, 639, 1119, 2158, 861, 2787, 16, 1660, 1143, 1223, 13633, 6606, 466, 16, 289, 4243, 510, 15014, 18322, 648, 414, 21755, 282, 1949, 10485, 292, 411, 3437, 289, 334, 8954, 5790, 1741, 281, 445, 5793, 282, 2846, 37253, 18, 1397, 519, 45921, 366, 16, 697, 4446, 16, 2628, 16, 289, 322, 40900, 16, 515, 18234, 10282, 416, 3800, 307, 424, 45711, 5790, 510, 411, 17185, 473, 5145, 13, 1879, 36222, 11281, 2812, 751, 309, 13180, 1533, 17, 25822, 454, 18, 640, 566, 742, 478, 730, 5944, 2266, 23682, 470, 28087, 8790, 278, 262, 1188, 22232, 4725, 16, 374, 678, 4040, 3453, 23757, 282, 11258, 16, 289, 1634, 16452, 26226, 309, 899, 6310, 31176, 2175, 18, 478, 4348, 1055, 34447, 1223, 3441, 5199, 411, 3437, 16, 2391, 3813, 373, 8051, 7653, 19329, 289, 282, 35962, 9155, 18, 3923, 16, 34439, 632, 1497, 363, 383, 626, 280, 289, 6452, 267, 1312, 1285, 343, 1549, 435, 11723, 47359, 965, 282, 14515, 9155, 16, 453, 374, 656, 17205, 13446, 10049, 4505, 322, 687, 360, 1129, 16, 515, 289, 360, 3025, 3463, 12525, 18, 824, 17, 15253, 7193, 1139, 322, 5304, 18548, 289, 3221, 2795, 2948, 282, 7756, 18, 889, 840, 6917, 26428, 2117, 8900, 541, 478, 730, 5944, 2266, 23682, 910, 510, 5923, 1694, 8790, 278, 262, 4788, 29730, 18, 19770, 3583, 4732, 10927, 428, 28507, 5939, 16, 1586, 17973, 8782, 844, 506, 16, 726, 282, 5572, 29235, 1650, 275, 1421, 8669, 448, 3775, 541, 733, 3831, 7889, 403, 27715, 486, 24088, 2612, 367, 18, 5043, 16, 282, 11440, 745, 322, 14725, 16, 5029, 8568, 42384, 21466, 560, 282, 35453, 17025, 18, 996, 16, 4686, 20548, 778, 39914, 4682, 5888, 528, 2143, 1458, 411, 1360, 10580, 38766, 282, 34565, 4548, 16, 515, 322, 2564, 45300, 319, 774, 382, 2314, 16, 2512, 24828, 49692, 403, 512, 888, 20678, 6637, 1624, 515, 3424, 24088, 2612, 322, 15272, 9287, 2948, 18, 12092, 281, 14515, 9868, 478, 1532, 268, 2266, 1952, 470, 7737, 505, 36532, 510, 20678, 288, 16, 22328, 13121, 309, 8999, 334, 22824, 16, 15200, 905, 309, 965, 19668, 21680, 2155, 289, 590, 1117, 298, 1015, 300, 46234, 21130, 2255, 454, 9065, 2895, 272, 16, 1029, 282, 13757, 1555, 12118, 45300, 271, 19671, 521, 18, 1591, 2992, 1939, 17, 25822, 582, 12030, 4466, 322, 26510, 701, 510, 4446, 19785, 8782, 844, 506, 16, 367, 478, 1532, 268, 2266, 1952, 470, 6302, 414, 697, 445, 19692, 34565, 45785, 289, 726, 1248, 1871, 7130, 1011, 25067, 14393, 1166, 477, 12932, 491, 30, 20, 510, 23744, 1458, 23874, 599, 1265, 18397, 16480, 309, 12807, 464, 16, 528, 2143, 1458, 21502, 46234, 16, 396, 354, 8207, 722, 519, 20340, 7889, 289, 16, 309, 4038, 281, 46393, 304, 37808, 3418, 3924, 31070, 309, 27332, 281, 24088, 39849, 16, 3404, 22447, 6357, 272, 16, 1029, 34102, 17285, 17192, 282, 13757, 883, 6421, 18, 365, 10130, 12030, 4466, 322, 703, 701, 18, 8276, 11126, 685, 15585, 16, 785, 26483, 391, 19324, 1624, 4057, 8368, 360, 30556, 16, 16480, 478, 275, 37142, 470, 281, 40248, 635, 10468, 8676, 289, 16, 16150, 47149, 9871, 16, 281, 4335, 4995, 10271, 326, 937, 8999, 7646, 510, 24088, 2612, 5354, 38839, 32438, 289, 13879, 1519, 5335, 282, 13757, 1555, 9941, 18, 439, 349, 2846, 7130, 519, 949, 16946, 309, 23511, 475, 2222, 575, 37808, 3418, 877, 49692, 8462, 451, 6972, 368, 411, 17, 1567, 28253, 16, 294, 5076, 24088, 2612, 4167, 322, 2259, 18, 22568, 541, 478, 4925, 354, 560, 470, 24937, 11225, 764, 289, 867, 16, 374, 5815, 4966, 22605, 12995, 29499, 282, 3709, 411, 43194, 26054, 281, 1307, 1353, 3663, 32737, 6727, 6733, 9880, 27893, 289, 309, 5897, 8984, 1939, 17, 25822, 454, 322, 4223, 18, 365, 34979, 546, 6606, 466, 45227, 24088, 5044, 309, 4809, 343, 2124, 13843, 1624, 515, 289, 2222, 322, 3225, 360, 32259, 1617, 8999, 282, 31551, 4510, 18, 640, 17530, 17, 295, 20537, 8860, 363, 4048, 13843, 3521, 315, 7563, 360, 41727, 5625, 16, 367, 26060, 22048, 868, 1146, 364, 282, 8999, 46234, 1011, 7256, 342, 2124, 13843, 16, 7243, 9935, 2733, 2175, 5906, 18, 12092, 309, 17842, 17, 295, 20537, 478, 41721, 16336, 470, 3225, 445, 1024, 2153, 2948, 510, 8462, 451, 6972, 368, 282, 13757, 3675, 478, 5486, 530, 454, 470, 49692, 13224, 1528, 5154, 50195, 18, 999, 1871, 7130, 519, 5251, 1809, 949, 16946, 39914, 7646, 33591, 8860, 363, 749, 16866, 9080, 371, 282, 13090, 32985, 11868, 28253, 7120, 324, 22337, 287, 269, 488, 1624, 29603, 505, 281, 4091, 289, 3619, 1595, 8602, 37777, 30020, 18998, 10556, 478, 9575, 11382, 4705, 861, 9051, 1335, 25307, 478, 27296, 17, 8415, 454, 470, 3225, 3221, 2795, 2948, 282, 7756, 473, 22, 17, 22, 814, 31312, 10133, 9934, 282, 32164, 282, 11877, 16, 1286, 3598, 18, 22405, 281, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 309, 7759, 20280, 35297, 18389, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 24073, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 822, 5927, 608, 429, 483, 744, 431, 2594, 265 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 639, 4803, 10949, 28570, 16, 281, 2733, 3149, 304, 294, 6619, 2955, 20850, 935, 282, 6576, 547, 12013, 18, 10942, 656, 9996, 7964, 4652, 2706, 4744, 2449, 349, 5199, 16, 5272, 20635, 4110, 1223, 2287, 16, 510, 15875, 6606, 466, 3781, 17, 9952, 18389, 18, 510, 889, 935, 322, 8690, 294, 5163, 552, 16, 289, 656, 481, 7836, 18, 365, 13420, 9155, 656, 322, 5087, 11721, 1190, 18042, 874, 453, 1269, 45921, 366, 18, 38625, 8602, 16, 656, 726, 939, 2944, 322, 14725, 453, 4702, 18, 365, 7756, 281, 478, 983, 2243, 375, 288, 470, 656, 40900, 1272, 7977, 16, 515, 25509, 282, 1129, 939, 11723, 18, 27025, 1857, 9218, 10664, 668, 5199, 10427, 5366, 18, 967, 803, 417, 322, 9763, 16, 515, 1299, 1513, 7457, 12631, 1717, 282, 6829, 4466, 18, 10113, 19631, 40111, 21330, 282, 7756, 281, 478, 983, 4476, 1305, 470, 289, 282, 5606, 1949, 38369, 281, 478, 730, 5944, 2266, 23682, 861, 1345, 28668, 282, 13375, 16, 1548, 374, 42332, 33110, 9885, 22623, 18, 16476, 16, 656, 1139, 322, 6745, 16, 5870, 3521, 315, 895, 13168, 42262, 16, 515, 1441, 7836, 289, 6354, 294, 2856, 18, 478, 4925, 354, 546, 470, 1513, 6622, 6281, 282, 19329, 1974, 477, 18653, 2509, 282, 13090, 31860, 16, 367, 322, 1939, 1879, 6396, 16, 428, 481, 639, 1119, 2158, 861, 2787, 16, 1660, 1143, 1223, 13633, 6606, 466, 16, 289, 4243, 510, 15014, 18322, 648, 414, 21755, 282, 1949, 10485, 292, 411, 3437, 289, 334, 8954, 5790, 1741, 281, 445, 5793, 282, 2846, 37253, 18, 1397, 519, 45921, 366, 16, 697, 4446, 16, 2628, 16, 289, 322, 40900, 16, 515, 18234, 10282, 416, 3800, 307, 424, 45711, 5790, 510, 411, 17185, 473, 5145, 13, 1879, 36222, 11281, 2812, 751, 309, 13180, 1533, 17, 25822, 454, 18, 640, 566, 742, 478, 730, 5944, 2266, 23682, 470, 28087, 8790, 278, 262, 1188, 22232, 4725, 16, 374, 678, 4040, 3453, 23757, 282, 11258, 16, 289, 1634, 16452, 26226, 309, 899, 6310, 31176, 2175, 18, 478, 4348, 1055, 34447, 1223, 3441, 5199, 411, 3437, 16, 2391, 3813, 373, 8051, 7653, 19329, 289, 282, 35962, 9155, 18, 3923, 16, 34439, 632, 1497, 363, 383, 626, 280, 289, 6452, 267, 1312, 1285, 343, 1549, 435, 11723, 47359, 965, 282, 14515, 9155, 16, 453, 374, 656, 17205, 13446, 10049, 4505, 322, 687, 360, 1129, 16, 515, 289, 360, 3025, 3463, 12525, 18, 824, 17, 15253, 7193, 1139, 322, 5304, 18548, 289, 3221, 2795, 2948, 282, 7756, 18, 889, 840, 6917, 26428, 2117, 8900, 541, 478, 730, 5944, 2266, 23682, 910, 510, 5923, 1694, 8790, 278, 262, 4788, 29730, 18, 19770, 3583, 4732, 10927, 428, 28507, 5939, 16, 1586, 17973, 8782, 844, 506, 16, 726, 282, 5572, 29235, 1650, 275, 1421, 8669, 448, 3775, 541, 733, 3831, 7889, 403, 27715, 486, 24088, 2612, 367, 18, 5043, 16, 282, 11440, 745, 322, 14725, 16, 5029, 8568, 42384, 21466, 560, 282, 35453, 17025, 18, 996, 16, 4686, 20548, 778, 39914, 4682, 5888, 528, 2143, 1458, 411, 1360, 10580, 38766, 282, 34565, 4548, 16, 515, 322, 2564, 45300, 319, 774, 382, 2314, 16, 2512, 24828, 49692, 403, 512, 888, 20678, 6637, 1624, 515, 3424, 24088, 2612, 322, 15272, 9287, 2948, 18, 12092, 281, 14515, 9868, 478, 1532, 268, 2266, 1952, 470, 7737, 505, 36532, 510, 20678, 288, 16, 22328, 13121, 309, 8999, 334, 22824, 16, 15200, 905, 309, 965, 19668, 21680, 2155, 289, 590, 1117, 298, 1015, 300, 46234, 21130, 2255, 454, 9065, 2895, 272, 16, 1029, 282, 13757, 1555, 12118, 45300, 271, 19671, 521, 18, 1591, 2992, 1939, 17, 25822, 582, 12030, 4466, 322, 26510, 701, 510, 4446, 19785, 8782, 844, 506, 16, 367, 478, 1532, 268, 2266, 1952, 470, 6302, 414, 697, 445, 19692, 34565, 45785, 289, 726, 1248, 1871, 7130, 1011, 25067, 14393, 1166, 477, 12932, 491, 30, 20, 510, 23744, 1458, 23874, 599, 1265, 18397, 16480, 309, 12807, 464, 16, 528, 2143, 1458, 21502, 46234, 16, 396, 354, 8207, 722, 519, 20340, 7889, 289, 16, 309, 4038, 281, 46393, 304, 37808, 3418, 3924, 31070, 309, 27332, 281, 24088, 39849, 16, 3404, 22447, 6357, 272, 16, 1029, 34102, 17285, 17192, 282, 13757, 883, 6421, 18, 365, 10130, 12030, 4466, 322, 703, 701, 18, 8276, 11126, 685, 15585, 16, 785, 26483, 391, 19324, 1624, 4057, 8368, 360, 30556, 16, 16480, 478, 275, 37142, 470, 281, 40248, 635, 10468, 8676, 289, 16, 16150, 47149, 9871, 16, 281, 4335, 4995, 10271, 326, 937, 8999, 7646, 510, 24088, 2612, 5354, 38839, 32438, 289, 13879, 1519, 5335, 282, 13757, 1555, 9941, 18, 439, 349, 2846, 7130, 519, 949, 16946, 309, 23511, 475, 2222, 575, 37808, 3418, 877, 49692, 8462, 451, 6972, 368, 411, 17, 1567, 28253, 16, 294, 5076, 24088, 2612, 4167, 322, 2259, 18, 22568, 541, 478, 4925, 354, 560, 470, 24937, 11225, 764, 289, 867, 16, 374, 5815, 4966, 22605, 12995, 29499, 282, 3709, 411, 43194, 26054, 281, 1307, 1353, 3663, 32737, 6727, 6733, 9880, 27893, 289, 309, 5897, 8984, 1939, 17, 25822, 454, 322, 4223, 18, 365, 34979, 546, 6606, 466, 45227, 24088, 5044, 309, 4809, 343, 2124, 13843, 1624, 515, 289, 2222, 322, 3225, 360, 32259, 1617, 8999, 282, 31551, 4510, 18, 640, 17530, 17, 295, 20537, 8860, 363, 4048, 13843, 3521, 315, 7563, 360, 41727, 5625, 16, 367, 26060, 22048, 868, 1146, 364, 282, 8999, 46234, 1011, 7256, 342, 2124, 13843, 16, 7243, 9935, 2733, 2175, 5906, 18, 12092, 309, 17842, 17, 295, 20537, 478, 41721, 16336, 470, 3225, 445, 1024, 2153, 2948, 510, 8462, 451, 6972, 368, 282, 13757, 3675, 478, 5486, 530, 454, 470, 49692, 13224, 1528, 5154, 50195, 18, 999, 1871, 7130, 519, 5251, 1809, 949, 16946, 39914, 7646, 33591, 8860, 363, 749, 16866, 9080, 371, 282, 13090, 32985, 11868, 28253, 7120, 324, 22337, 287, 269, 488, 1624, 29603, 505, 281, 4091, 289, 3619, 1595, 8602, 37777, 30020, 18998, 10556, 478, 9575, 11382, 4705, 861, 9051, 1335, 25307, 478, 27296, 17, 8415, 454, 470, 3225, 3221, 2795, 2948, 282, 7756, 473, 22, 17, 22, 814, 31312, 10133, 9934, 282, 32164, 282, 11877, 16, 1286, 3598, 18, 22405, 281, 4778, 16264, 16, 13280, 289, 19460, 387, 2890, 309, 7759, 20280, 35297, 18389, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 24073, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 822, 5927, 608, 429, 483, 744, 431, 2594, 265 ]
[ 3064, 15400, 8348, 381, 31330, 281, 5174, 15465, 23020, 933, 29539, 1356, 18, 2877, 608, 429, 483, 282, 16294, 322, 9733, 411, 17, 431, 478, 10698, 36627, 23989, 309, 33794, 861, 20346, 492, 18660, 3729, 9919, 539, 48059, 23020, 933, 29539, 1356, 16, 367, 4770, 31814, 13408, 18301, 39324, 18519, 37972, 9597, 35505, 37589, 454, 608, 429, 756, 16, 26294, 16, 374, 492, 895, 28602, 349, 19077, 18, 31224, 30, 677, 9937, 4788, 23020, 933, 29539, 1356, 478, 38166, 17, 19875, 470, 473, 684, 3127, 13, 6925, 1737, 6584, 8348, 19994, 608, 429, 756, 1624, 1202, 35803, 965, 32508, 620, 459, 22218, 354, 16383, 18, 608, 429, 483, 744, 431, 2594, 265, 3064, 15400, 8348, 381, 31330, 281, 5174, 367, 3905, 16, 5241, 3732, 867, 575, 4842, 3032, 14638, 29179, 4419, 16, 430, 4160, 18, 365, 9878, 23032, 608, 429, 483, 3828, 16, 374, 5073, 8348, 491, 4160, 16, 309, 5421, 1119, 1011, 4183, 18, 478, 677, 2630, 477, 29302, 6986, 761, 309, 33794, 417, 9763, 34860, 37684, 281, 965, 22141, 367, 3905, 459, 22218, 354, 16383, 16, 510, 3828, 608, 429, 483, 18, 510, 49933, 1687, 8348, 9650, 4973, 7175, 2184, 29582, 18, 49933, 1687, 8348, 639, 3118, 281, 2503, 8946, 523, 6279, 861, 9263, 608, 429, 483, 3828, 16, 374, 13978, 965, 2702, 1904, 16, 478, 25679, 11505, 309, 3427, 42102, 910, 22699, 32850, 478, 1878, 649, 309, 803, 3427, 4443, 16, 3176, 784, 37575, 12101, 10859, 1354, 910, 289, 478, 643, 7726, 12009, 42102, 861, 365, 23032, 1038, 5130, 16, 374, 2650, 639, 11742, 309, 2923, 31814, 18, 403, 3127, 3110, 16, 374, 8348, 23527, 282, 31797, 334, 11410, 19290, 16, 428, 289, 6502, 1687, 18, 2949, 9506, 416, 7475, 49764, 608, 429, 22495, 329, 403, 3127, 912, 5626, 505, 11815, 18, 29407, 281, 29582, 381, 31330, 608, 429, 756, 1038, 942, 639, 17883, 309, 403, 3127, 18, 430, 4160, 608, 429, 483, 2815, 16, 374, 26387, 10722, 367, 3905, 975, 322, 4360, 8884, 18, 478, 10594, 408, 1117, 2125, 43381, 1033, 11707, 289, 7273, 2497, 32508, 394, 910, 510, 10624, 3064, 608, 429, 756, 478, 38166, 17, 19875, 861, 2263, 5222, 29539, 1356, 3887, 300, 32850, 478, 31713, 303, 9732, 6079, 408, 1117, 289, 22854, 13581, 473, 29413, 5222, 272, 13, 9236, 289, 8344, 861, 19727, 1728, 21121, 837, 608, 429, 483, 8566, 349, 5284, 519, 10744, 290, 1360, 31330, 30, 3436, 4189, 439, 12684, 10810, 11264, 2516, 16, 282, 6104, 567, 3583, 1779, 424, 12793, 3037, 354, 807, 16, 685, 9540, 23267, 367, 3905, 459, 22218, 354, 16383, 16, 608, 429, 483, 43938, 505, 309, 2159, 1756, 282, 1750, 1360, 3422, 18, 2333, 5770, 6946, 3260, 608, 429, 756, 16, 8851, 9919, 451, 18575, 1265, 441, 23020, 933, 29539, 1356, 47558, 27439, 512, 2815, 16, 374, 11264, 2516, 510, 478, 404, 22762, 890, 818, 285, 910, 289, 16328, 32850, 29441, 281, 1498, 15021, 18, 38058, 27439, 3583, 685, 18913, 282, 14415, 478, 48417, 470, 10552, 16, 567, 12241, 18, 365, 1500, 575, 1119, 608, 429, 483, 5962, 3003, 290, 2097, 436, 272, 2557, 9919, 434, 32422, 459, 22218, 354, 16383, 16, 5998, 2024, 282, 1175, 32587, 7400, 536, 18900, 18, 9300, 277, 1398, 27439, 512, 322, 5195, 3361, 294, 2856, 5854, 1016, 18, 21683, 6705, 779, 13183, 766, 778, 1551, 567, 7410, 281, 3348, 411, 13764, 29539, 1356, 1236, 288, 4520, 439, 285, 41046, 22495, 473, 643, 341, 2706, 3990, 4479, 282, 391, 433, 20487, 16, 403, 14796, 13, 43209, 27439, 3583, 294, 38113, 21795, 349, 21068, 281, 12984, 31814, 13408, 288, 8676, 25463, 22495, 18, 1367, 48353, 11264, 36484, 360, 608, 429, 756, 282, 9937, 2815, 289, 39324, 18, 26562, 14242, 37972, 9597, 35505, 37589, 454, 608, 429, 756, 16, 492, 22699, 6106, 16, 374, 20632, 11264, 36484, 840, 8622, 16, 828, 20420, 15465, 15581, 18, 478, 1140, 429, 756, 1513, 39614, 16, 1055, 492, 322, 21396, 18, 817, 895, 953, 282, 439, 283, 21602, 17, 780, 9906, 609, 1212, 16, 608, 2796, 17, 780, 9906, 609, 1212, 289, 41428, 1957, 1212, 12937, 18, 4320, 492, 7762, 322, 44483, 16, 505, 1513, 32042, 2988, 39614, 16, 753, 492, 322, 445, 16788, 349, 1553, 18, 608, 1047, 3860, 477, 25517, 18, 817, 26229, 305, 49423, 16, 282, 3198, 329, 1047, 38316, 475, 8463, 18, 459, 827, 492, 289, 2915, 840, 445, 2670, 506, 16, 502, 912, 25326, 16, 374, 492, 4040, 17812, 22711, 18846, 16, 2391, 505, 1381, 35529, 18978, 910, 510, 2815, 39324, 282, 16858, 547, 18, 478, 677, 3705, 334, 13550, 34219, 453, 30515, 4090, 367, 3905, 15277, 354, 609, 11264, 36484, 470, 1791, 953, 322, 2993, 16, 5273, 39324, 18, 478, 6889, 2089, 2392, 1508, 329, 813, 912, 33378, 34266, 5825, 18, 8269, 16, 505, 45408, 1086, 840, 8030, 18, 889, 1743, 27417, 16, 13015, 505, 942, 2156, 910, 510, 1393, 1682, 3064, 25463, 756, 478, 38166, 778, 20744, 861, 14427, 17872, 4772, 17, 511, 2478, 478, 38166, 778, 20744, 470, 18223, 40519, 291, 5273, 16, 374, 7015, 8348, 608, 429, 756, 639, 11742, 349, 6711, 808, 519, 25105, 1237, 289, 639, 11742, 424, 23057, 18, 478, 46937, 16, 374, 4498, 3419, 290, 20701, 7358, 14055, 2891, 11264, 300, 2509, 16, 289, 1542, 15068, 49856, 18, 365, 970, 2875, 322, 20846, 16, 374, 14255, 473, 1140, 429, 756, 13, 294, 32508, 2381, 5211, 368, 24813, 933, 6079, 2707, 31700, 290, 12278, 6574, 2087, 11264, 36484, 322, 639, 13663, 315, 910, 510, 5273, 18290, 478, 32485, 18, 8381, 861, 2787, 16, 374, 282, 20429, 582, 1251, 5512, 10744, 353, 608, 429, 756, 639, 47050, 7667, 9919, 539, 48059, 459, 22218, 354, 16383, 16, 40519, 291, 5273, 3286, 6832, 18, 478, 3096, 20846, 16, 374, 473, 412, 4031, 3056, 608, 429, 756, 13, 7187, 47050, 1519, 1992, 459, 429, 1155, 16383, 16, 14927, 274, 475, 5922, 309, 2393, 13871, 1013, 30, 281, 22861, 309, 13375, 349, 20638, 18, 4922, 13521, 3960, 4202, 42916, 281, 4120, 5653, 779, 16, 785, 639, 29128, 381, 16992, 11919, 459, 4762, 950, 381, 15369, 7025, 608, 429, 756, 16, 23751, 40519, 291, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 37486, 1666, 12507, 504, 7420, 297, 2516, 8643, 9744, 290, 9878, 6231, 464, 281, 478, 30731, 742, 3032, 910, 2686, 895, 13541, 289, 282, 478, 30731, 14313, 791, 306, 861, 478, 50157, 354, 470, 282, 23838 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3064, 15400, 8348, 381, 31330, 281, 5174, 15465, 23020, 933, 29539, 1356, 18, 2877, 608, 429, 483, 282, 16294, 322, 9733, 411, 17, 431, 478, 10698, 36627, 23989, 309, 33794, 861, 20346, 492, 18660, 3729, 9919, 539, 48059, 23020, 933, 29539, 1356, 16, 367, 4770, 31814, 13408, 18301, 39324, 18519, 37972, 9597, 35505, 37589, 454, 608, 429, 756, 16, 26294, 16, 374, 492, 895, 28602, 349, 19077, 18, 31224, 30, 677, 9937, 4788, 23020, 933, 29539, 1356, 478, 38166, 17, 19875, 470, 473, 684, 3127, 13, 6925, 1737, 6584, 8348, 19994, 608, 429, 756, 1624, 1202, 35803, 965, 32508, 620, 459, 22218, 354, 16383, 18, 608, 429, 483, 744, 431, 2594, 265, 3064, 15400, 8348, 381, 31330, 281, 5174, 367, 3905, 16, 5241, 3732, 867, 575, 4842, 3032, 14638, 29179, 4419, 16, 430, 4160, 18, 365, 9878, 23032, 608, 429, 483, 3828, 16, 374, 5073, 8348, 491, 4160, 16, 309, 5421, 1119, 1011, 4183, 18, 478, 677, 2630, 477, 29302, 6986, 761, 309, 33794, 417, 9763, 34860, 37684, 281, 965, 22141, 367, 3905, 459, 22218, 354, 16383, 16, 510, 3828, 608, 429, 483, 18, 510, 49933, 1687, 8348, 9650, 4973, 7175, 2184, 29582, 18, 49933, 1687, 8348, 639, 3118, 281, 2503, 8946, 523, 6279, 861, 9263, 608, 429, 483, 3828, 16, 374, 13978, 965, 2702, 1904, 16, 478, 25679, 11505, 309, 3427, 42102, 910, 22699, 32850, 478, 1878, 649, 309, 803, 3427, 4443, 16, 3176, 784, 37575, 12101, 10859, 1354, 910, 289, 478, 643, 7726, 12009, 42102, 861, 365, 23032, 1038, 5130, 16, 374, 2650, 639, 11742, 309, 2923, 31814, 18, 403, 3127, 3110, 16, 374, 8348, 23527, 282, 31797, 334, 11410, 19290, 16, 428, 289, 6502, 1687, 18, 2949, 9506, 416, 7475, 49764, 608, 429, 22495, 329, 403, 3127, 912, 5626, 505, 11815, 18, 29407, 281, 29582, 381, 31330, 608, 429, 756, 1038, 942, 639, 17883, 309, 403, 3127, 18, 430, 4160, 608, 429, 483, 2815, 16, 374, 26387, 10722, 367, 3905, 975, 322, 4360, 8884, 18, 478, 10594, 408, 1117, 2125, 43381, 1033, 11707, 289, 7273, 2497, 32508, 394, 910, 510, 10624, 3064, 608, 429, 756, 478, 38166, 17, 19875, 861, 2263, 5222, 29539, 1356, 3887, 300, 32850, 478, 31713, 303, 9732, 6079, 408, 1117, 289, 22854, 13581, 473, 29413, 5222, 272, 13, 9236, 289, 8344, 861, 19727, 1728, 21121, 837, 608, 429, 483, 8566, 349, 5284, 519, 10744, 290, 1360, 31330, 30, 3436, 4189, 439, 12684, 10810, 11264, 2516, 16, 282, 6104, 567, 3583, 1779, 424, 12793, 3037, 354, 807, 16, 685, 9540, 23267, 367, 3905, 459, 22218, 354, 16383, 16, 608, 429, 483, 43938, 505, 309, 2159, 1756, 282, 1750, 1360, 3422, 18, 2333, 5770, 6946, 3260, 608, 429, 756, 16, 8851, 9919, 451, 18575, 1265, 441, 23020, 933, 29539, 1356, 47558, 27439, 512, 2815, 16, 374, 11264, 2516, 510, 478, 404, 22762, 890, 818, 285, 910, 289, 16328, 32850, 29441, 281, 1498, 15021, 18, 38058, 27439, 3583, 685, 18913, 282, 14415, 478, 48417, 470, 10552, 16, 567, 12241, 18, 365, 1500, 575, 1119, 608, 429, 483, 5962, 3003, 290, 2097, 436, 272, 2557, 9919, 434, 32422, 459, 22218, 354, 16383, 16, 5998, 2024, 282, 1175, 32587, 7400, 536, 18900, 18, 9300, 277, 1398, 27439, 512, 322, 5195, 3361, 294, 2856, 5854, 1016, 18, 21683, 6705, 779, 13183, 766, 778, 1551, 567, 7410, 281, 3348, 411, 13764, 29539, 1356, 1236, 288, 4520, 439, 285, 41046, 22495, 473, 643, 341, 2706, 3990, 4479, 282, 391, 433, 20487, 16, 403, 14796, 13, 43209, 27439, 3583, 294, 38113, 21795, 349, 21068, 281, 12984, 31814, 13408, 288, 8676, 25463, 22495, 18, 1367, 48353, 11264, 36484, 360, 608, 429, 756, 282, 9937, 2815, 289, 39324, 18, 26562, 14242, 37972, 9597, 35505, 37589, 454, 608, 429, 756, 16, 492, 22699, 6106, 16, 374, 20632, 11264, 36484, 840, 8622, 16, 828, 20420, 15465, 15581, 18, 478, 1140, 429, 756, 1513, 39614, 16, 1055, 492, 322, 21396, 18, 817, 895, 953, 282, 439, 283, 21602, 17, 780, 9906, 609, 1212, 16, 608, 2796, 17, 780, 9906, 609, 1212, 289, 41428, 1957, 1212, 12937, 18, 4320, 492, 7762, 322, 44483, 16, 505, 1513, 32042, 2988, 39614, 16, 753, 492, 322, 445, 16788, 349, 1553, 18, 608, 1047, 3860, 477, 25517, 18, 817, 26229, 305, 49423, 16, 282, 3198, 329, 1047, 38316, 475, 8463, 18, 459, 827, 492, 289, 2915, 840, 445, 2670, 506, 16, 502, 912, 25326, 16, 374, 492, 4040, 17812, 22711, 18846, 16, 2391, 505, 1381, 35529, 18978, 910, 510, 2815, 39324, 282, 16858, 547, 18, 478, 677, 3705, 334, 13550, 34219, 453, 30515, 4090, 367, 3905, 15277, 354, 609, 11264, 36484, 470, 1791, 953, 322, 2993, 16, 5273, 39324, 18, 478, 6889, 2089, 2392, 1508, 329, 813, 912, 33378, 34266, 5825, 18, 8269, 16, 505, 45408, 1086, 840, 8030, 18, 889, 1743, 27417, 16, 13015, 505, 942, 2156, 910, 510, 1393, 1682, 3064, 25463, 756, 478, 38166, 778, 20744, 861, 14427, 17872, 4772, 17, 511, 2478, 478, 38166, 778, 20744, 470, 18223, 40519, 291, 5273, 16, 374, 7015, 8348, 608, 429, 756, 639, 11742, 349, 6711, 808, 519, 25105, 1237, 289, 639, 11742, 424, 23057, 18, 478, 46937, 16, 374, 4498, 3419, 290, 20701, 7358, 14055, 2891, 11264, 300, 2509, 16, 289, 1542, 15068, 49856, 18, 365, 970, 2875, 322, 20846, 16, 374, 14255, 473, 1140, 429, 756, 13, 294, 32508, 2381, 5211, 368, 24813, 933, 6079, 2707, 31700, 290, 12278, 6574, 2087, 11264, 36484, 322, 639, 13663, 315, 910, 510, 5273, 18290, 478, 32485, 18, 8381, 861, 2787, 16, 374, 282, 20429, 582, 1251, 5512, 10744, 353, 608, 429, 756, 639, 47050, 7667, 9919, 539, 48059, 459, 22218, 354, 16383, 16, 40519, 291, 5273, 3286, 6832, 18, 478, 3096, 20846, 16, 374, 473, 412, 4031, 3056, 608, 429, 756, 13, 7187, 47050, 1519, 1992, 459, 429, 1155, 16383, 16, 14927, 274, 475, 5922, 309, 2393, 13871, 1013, 30, 281, 22861, 309, 13375, 349, 20638, 18, 4922, 13521, 3960, 4202, 42916, 281, 4120, 5653, 779, 16, 785, 639, 29128, 381, 16992, 11919, 459, 4762, 950, 381, 15369, 7025, 608, 429, 756, 16, 23751, 40519, 291, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 37486, 1666, 12507, 504, 7420, 297, 2516, 8643, 9744, 290, 9878, 6231, 464, 281, 478, 30731, 742, 3032, 910, 2686, 895, 13541, 289, 282, 478, 30731, 14313, 791, 306, 861, 478, 50157, 354, 470, 282, 23838 ]
[ 1612, 840, 2245, 324, 289, 590, 12788, 282, 8790, 307, 1035, 297, 16, 367, 478, 983, 4476, 356, 470, 4223, 4024, 282, 7756, 430, 19, 22, 21451, 14378, 30691, 326, 281, 478, 15995, 10738, 17, 983, 4013, 861, 31224, 30, 471, 983, 4476, 356, 470, 4223, 4024, 282, 7756, 281, 478, 15995, 10738, 17, 983, 4013, 861, 640, 36934, 16452, 32908, 478, 983, 2243, 375, 288, 470, 1763, 9973, 7739, 3033, 1871, 37183, 448, 15277, 919, 282, 5572, 289, 15301, 10485, 292, 18, 34165, 1251, 7739, 3317, 20975, 322, 2733, 1619, 12310, 334, 7413, 281, 29488, 22232, 16, 282, 1754, 478, 353, 2300, 470, 35293, 16, 1763, 18402, 478, 5495, 12944, 470, 5270, 15277, 296, 18, 8859, 478, 15995, 513, 470, 5438, 36950, 18, 365, 11671, 8267, 651, 726, 309, 14597, 24931, 6992, 718, 7586, 651, 7193, 7646, 7199, 14887, 15582, 18, 39256, 1545, 8219, 282, 8955, 7316, 289, 5505, 400, 1779, 30326, 1272, 7977, 411, 17, 431, 16959, 19599, 20393, 281, 7739, 2409, 16586, 778, 14007, 9131, 454, 12754, 7907, 4807, 4671, 13011, 356, 18, 640, 27027, 492, 2581, 811, 5512, 4744, 9340, 289, 3348, 36471, 10556, 304, 16, 515, 1559, 3348, 411, 21737, 12525, 5790, 18, 14438, 6287, 7977, 541, 7646, 5019, 862, 48827, 18, 8657, 301, 778, 39914, 478, 20181, 31799, 470, 22295, 36606, 447, 4167, 1965, 1176, 309, 478, 293, 35100, 4762, 470, 1011, 10376, 21759, 324, 2220, 447, 413, 289, 3257, 7000, 706, 281, 19671, 628, 8583, 4013, 547, 472, 6875, 1305, 18, 24899, 28192, 1741, 5199, 16, 31107, 5486, 37751, 282, 11924, 10717, 16, 289, 19785, 44282, 15807, 46234, 16, 47603, 13784, 478, 15995, 1923, 861, 17500, 19525, 24935, 289, 774, 34544, 478, 20181, 31799, 470, 10648, 16404, 1624, 1029, 12715, 16, 4213, 16, 10793, 1595, 9518, 282, 35772, 18, 365, 15301, 29235, 1432, 10868, 873, 10258, 764, 3441, 46234, 31273, 23261, 11900, 8590, 18, 19582, 709, 975, 32386, 6972, 368, 16, 1029, 472, 6875, 356, 16, 2513, 2523, 50166, 309, 478, 293, 35100, 4762, 910, 8084, 16, 322, 3837, 18, 31312, 10133, 8192, 282, 3765, 309, 3405, 3598, 18, 14959, 47717, 12507, 504, 7420, 297, 2516, 1624, 329, 2024, 9293, 7416, 11389, 281, 478, 30731, 742, 3032, 910, 895, 13541, 282, 478, 30731, 14313, 791, 306, 910, 3110, 1273, 76, 32014, 29717, 18, 4185, 10850, 774, 382, 2314, 16, 478, 1182, 12586, 320, 288, 470, 1381, 18350, 2364, 4843, 25, 16, 25, 3763, 424, 35521, 43460, 18, 32418, 582, 32908, 478, 20181, 31799, 470, 47213, 467, 1011, 2992, 1763, 331, 9439, 15277, 919, 282, 8999, 478, 15995, 1923, 470, 365, 502, 575, 808, 2419, 478, 761, 3244, 470, 4732, 5245, 9744, 290, 9878, 6231, 464, 281, 19671, 628, 18, 4900, 23390, 320, 7586, 5035, 7287, 22269, 307, 1109, 16, 374, 895, 479, 20272, 3433, 6295, 16, 785, 478, 30731, 742, 267, 470, 322, 5304, 29085, 19540, 2644, 19574, 18, 7106, 16, 374, 282, 5271, 478, 1123, 4764, 470, 9988, 2107, 47143, 651, 4210, 12067, 21515, 18, 365, 28531, 12241, 840, 10211, 29128, 290, 13486, 478, 50157, 548, 470, 2241, 786, 12368, 11002, 37016, 654, 42165, 16, 1586, 23414, 15825, 439, 14933, 478, 8510, 307, 2905, 264, 25330, 470, 282, 8790, 307, 1035, 1484, 16, 3110, 12752, 37953, 654, 32852, 18, 13138, 18731, 5778, 323, 7586, 4040, 860, 31064, 37867, 16, 1029, 1391, 2285, 2734, 1143, 1760, 2634, 15364, 18, 11333, 7036, 289, 37989, 942, 5298, 309, 7759, 29730, 18, 2, 1, 87, 1456, 81, 2448, 30, 630, 6473, 411, 14795, 35639, 1816, 8743, 2665, 510, 20631, 4752, 478, 7306, 9055, 350, 780, 341, 3090, 470, 510, 3716, 3118, 2396, 637, 411, 17, 431, 32430, 382, 6814, 35440, 30391, 18, 12962, 1157, 13731, 11897, 19304, 289, 8274, 2655, 432, 8468, 5197, 309, 25991, 16, 988, 5548, 4243, 1293, 14576, 18, 365, 44744, 14264, 354, 34715, 16, 374, 32430, 343, 8597, 324, 16, 367, 21941, 24382, 5548, 2961, 2385, 309, 1939, 5999, 4756, 6980, 23576, 282, 25902, 14795, 13257, 2458, 281, 1912, 17, 361, 309, 2418, 17, 263, 1756, 18, 31224, 30, 45182, 2236, 411, 14795, 35639, 1816, 8743, 2665, 510, 14264, 354, 478, 7306, 9055, 350, 780, 341, 3090, 470, 473, 6912, 478, 26960, 27609, 23987, 9979, 282, 6315, 7237, 472, 2517, 26144, 680, 1767, 510, 5915, 5413, 282, 11946, 16, 2123, 3598, 16, 3716, 3118, 44422, 8140, 18, 29609, 978, 2756, 32430, 343, 6814, 5754, 16, 961, 46119, 3518, 12764, 25237, 5197, 18, 478, 15883, 281, 1409, 3139, 4079, 309, 43903, 478, 7306, 9055, 350, 780, 341, 3090, 6315, 1406, 21629, 470, 14451, 4056, 19899, 35440, 30391, 4732, 8714, 334, 7910, 7715, 18, 1606, 17245, 3624, 309, 22067, 416, 23648, 16, 289, 481, 9600, 2808, 17847, 576, 2768, 1223, 5754, 16, 3387, 537, 1176, 44777, 659, 322, 20093, 706, 281, 2223, 910, 510, 3828, 8624, 21462, 1941, 43691, 29206, 13928, 42163, 760, 34413, 2665, 473, 45212, 9693, 13, 9543, 31703, 1388, 18, 2320, 8348, 46137, 309, 3614, 30781, 2216, 553, 24998, 38301, 2665, 18, 4852, 30292, 448, 3320, 20233, 13731, 9193, 2655, 448, 2644, 5197, 309, 25991, 18, 478, 47387, 9558, 451, 5616, 5960, 1211, 475, 8357, 309, 43903, 16, 502, 912, 39572, 41591, 289, 19296, 341, 2259, 516, 15966, 16, 502, 282, 3198, 726, 16209, 289, 1664, 2274, 15334, 16, 289, 12623, 842, 451, 21592, 265, 18, 439, 481, 895, 7869, 294, 29419, 4118, 40514, 16, 2391, 21462, 2497, 30292, 448, 3320, 16, 961, 16995, 309, 25991, 16, 12533, 15769, 309, 41779, 14668, 289, 31720, 16, 428, 8714, 2915, 910, 510, 9299, 31703, 1388, 18, 3584, 315, 17, 921, 33284, 607, 2403, 20631, 4752, 478, 7306, 9055, 350, 780, 341, 3090, 6315, 1406, 21629, 470, 510, 1176, 411, 14795, 13257, 422, 2009, 13006, 354, 309, 4862, 16, 49795, 309, 15242, 47393, 35164, 13006, 354, 16, 282, 4810, 16, 27239, 2087, 289, 531, 2042, 382, 411, 15646, 289, 3511, 273, 707, 607, 5856, 21925, 2458, 16, 1038, 20515, 2437, 1683, 665, 266, 16, 568, 3773, 1155, 16, 11003, 267, 16, 32729, 16, 26885, 16, 3600, 8317, 289, 25071, 32081, 26834, 18, 889, 14591, 281, 13470, 35639, 4118, 18457, 1683, 510, 360, 19915, 579, 700, 519, 4981, 422, 2009, 13006, 354, 18, 11339, 2283, 857, 5267, 478, 26960, 27609, 23987, 910, 2686, 282, 2604, 1045, 309, 9357, 547, 371, 342, 13728, 15459, 29272, 263, 20631, 4752, 685, 7391, 286, 11024, 860, 561 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1612, 840, 2245, 324, 289, 590, 12788, 282, 8790, 307, 1035, 297, 16, 367, 478, 983, 4476, 356, 470, 4223, 4024, 282, 7756, 430, 19, 22, 21451, 14378, 30691, 326, 281, 478, 15995, 10738, 17, 983, 4013, 861, 31224, 30, 471, 983, 4476, 356, 470, 4223, 4024, 282, 7756, 281, 478, 15995, 10738, 17, 983, 4013, 861, 640, 36934, 16452, 32908, 478, 983, 2243, 375, 288, 470, 1763, 9973, 7739, 3033, 1871, 37183, 448, 15277, 919, 282, 5572, 289, 15301, 10485, 292, 18, 34165, 1251, 7739, 3317, 20975, 322, 2733, 1619, 12310, 334, 7413, 281, 29488, 22232, 16, 282, 1754, 478, 353, 2300, 470, 35293, 16, 1763, 18402, 478, 5495, 12944, 470, 5270, 15277, 296, 18, 8859, 478, 15995, 513, 470, 5438, 36950, 18, 365, 11671, 8267, 651, 726, 309, 14597, 24931, 6992, 718, 7586, 651, 7193, 7646, 7199, 14887, 15582, 18, 39256, 1545, 8219, 282, 8955, 7316, 289, 5505, 400, 1779, 30326, 1272, 7977, 411, 17, 431, 16959, 19599, 20393, 281, 7739, 2409, 16586, 778, 14007, 9131, 454, 12754, 7907, 4807, 4671, 13011, 356, 18, 640, 27027, 492, 2581, 811, 5512, 4744, 9340, 289, 3348, 36471, 10556, 304, 16, 515, 1559, 3348, 411, 21737, 12525, 5790, 18, 14438, 6287, 7977, 541, 7646, 5019, 862, 48827, 18, 8657, 301, 778, 39914, 478, 20181, 31799, 470, 22295, 36606, 447, 4167, 1965, 1176, 309, 478, 293, 35100, 4762, 470, 1011, 10376, 21759, 324, 2220, 447, 413, 289, 3257, 7000, 706, 281, 19671, 628, 8583, 4013, 547, 472, 6875, 1305, 18, 24899, 28192, 1741, 5199, 16, 31107, 5486, 37751, 282, 11924, 10717, 16, 289, 19785, 44282, 15807, 46234, 16, 47603, 13784, 478, 15995, 1923, 861, 17500, 19525, 24935, 289, 774, 34544, 478, 20181, 31799, 470, 10648, 16404, 1624, 1029, 12715, 16, 4213, 16, 10793, 1595, 9518, 282, 35772, 18, 365, 15301, 29235, 1432, 10868, 873, 10258, 764, 3441, 46234, 31273, 23261, 11900, 8590, 18, 19582, 709, 975, 32386, 6972, 368, 16, 1029, 472, 6875, 356, 16, 2513, 2523, 50166, 309, 478, 293, 35100, 4762, 910, 8084, 16, 322, 3837, 18, 31312, 10133, 8192, 282, 3765, 309, 3405, 3598, 18, 14959, 47717, 12507, 504, 7420, 297, 2516, 1624, 329, 2024, 9293, 7416, 11389, 281, 478, 30731, 742, 3032, 910, 895, 13541, 282, 478, 30731, 14313, 791, 306, 910, 3110, 1273, 76, 32014, 29717, 18, 4185, 10850, 774, 382, 2314, 16, 478, 1182, 12586, 320, 288, 470, 1381, 18350, 2364, 4843, 25, 16, 25, 3763, 424, 35521, 43460, 18, 32418, 582, 32908, 478, 20181, 31799, 470, 47213, 467, 1011, 2992, 1763, 331, 9439, 15277, 919, 282, 8999, 478, 15995, 1923, 470, 365, 502, 575, 808, 2419, 478, 761, 3244, 470, 4732, 5245, 9744, 290, 9878, 6231, 464, 281, 19671, 628, 18, 4900, 23390, 320, 7586, 5035, 7287, 22269, 307, 1109, 16, 374, 895, 479, 20272, 3433, 6295, 16, 785, 478, 30731, 742, 267, 470, 322, 5304, 29085, 19540, 2644, 19574, 18, 7106, 16, 374, 282, 5271, 478, 1123, 4764, 470, 9988, 2107, 47143, 651, 4210, 12067, 21515, 18, 365, 28531, 12241, 840, 10211, 29128, 290, 13486, 478, 50157, 548, 470, 2241, 786, 12368, 11002, 37016, 654, 42165, 16, 1586, 23414, 15825, 439, 14933, 478, 8510, 307, 2905, 264, 25330, 470, 282, 8790, 307, 1035, 1484, 16, 3110, 12752, 37953, 654, 32852, 18, 13138, 18731, 5778, 323, 7586, 4040, 860, 31064, 37867, 16, 1029, 1391, 2285, 2734, 1143, 1760, 2634, 15364, 18, 11333, 7036, 289, 37989, 942, 5298, 309, 7759, 29730, 18, 2, 1, 87, 1456, 81, 2448, 30, 630, 6473, 411, 14795, 35639, 1816, 8743, 2665, 510, 20631, 4752, 478, 7306, 9055, 350, 780, 341, 3090, 470, 510, 3716, 3118, 2396, 637, 411, 17, 431, 32430, 382, 6814, 35440, 30391, 18, 12962, 1157, 13731, 11897, 19304, 289, 8274, 2655, 432, 8468, 5197, 309, 25991, 16, 988, 5548, 4243, 1293, 14576, 18, 365, 44744, 14264, 354, 34715, 16, 374, 32430, 343, 8597, 324, 16, 367, 21941, 24382, 5548, 2961, 2385, 309, 1939, 5999, 4756, 6980, 23576, 282, 25902, 14795, 13257, 2458, 281, 1912, 17, 361, 309, 2418, 17, 263, 1756, 18, 31224, 30, 45182, 2236, 411, 14795, 35639, 1816, 8743, 2665, 510, 14264, 354, 478, 7306, 9055, 350, 780, 341, 3090, 470, 473, 6912, 478, 26960, 27609, 23987, 9979, 282, 6315, 7237, 472, 2517, 26144, 680, 1767, 510, 5915, 5413, 282, 11946, 16, 2123, 3598, 16, 3716, 3118, 44422, 8140, 18, 29609, 978, 2756, 32430, 343, 6814, 5754, 16, 961, 46119, 3518, 12764, 25237, 5197, 18, 478, 15883, 281, 1409, 3139, 4079, 309, 43903, 478, 7306, 9055, 350, 780, 341, 3090, 6315, 1406, 21629, 470, 14451, 4056, 19899, 35440, 30391, 4732, 8714, 334, 7910, 7715, 18, 1606, 17245, 3624, 309, 22067, 416, 23648, 16, 289, 481, 9600, 2808, 17847, 576, 2768, 1223, 5754, 16, 3387, 537, 1176, 44777, 659, 322, 20093, 706, 281, 2223, 910, 510, 3828, 8624, 21462, 1941, 43691, 29206, 13928, 42163, 760, 34413, 2665, 473, 45212, 9693, 13, 9543, 31703, 1388, 18, 2320, 8348, 46137, 309, 3614, 30781, 2216, 553, 24998, 38301, 2665, 18, 4852, 30292, 448, 3320, 20233, 13731, 9193, 2655, 448, 2644, 5197, 309, 25991, 18, 478, 47387, 9558, 451, 5616, 5960, 1211, 475, 8357, 309, 43903, 16, 502, 912, 39572, 41591, 289, 19296, 341, 2259, 516, 15966, 16, 502, 282, 3198, 726, 16209, 289, 1664, 2274, 15334, 16, 289, 12623, 842, 451, 21592, 265, 18, 439, 481, 895, 7869, 294, 29419, 4118, 40514, 16, 2391, 21462, 2497, 30292, 448, 3320, 16, 961, 16995, 309, 25991, 16, 12533, 15769, 309, 41779, 14668, 289, 31720, 16, 428, 8714, 2915, 910, 510, 9299, 31703, 1388, 18, 3584, 315, 17, 921, 33284, 607, 2403, 20631, 4752, 478, 7306, 9055, 350, 780, 341, 3090, 6315, 1406, 21629, 470, 510, 1176, 411, 14795, 13257, 422, 2009, 13006, 354, 309, 4862, 16, 49795, 309, 15242, 47393, 35164, 13006, 354, 16, 282, 4810, 16, 27239, 2087, 289, 531, 2042, 382, 411, 15646, 289, 3511, 273, 707, 607, 5856, 21925, 2458, 16, 1038, 20515, 2437, 1683, 665, 266, 16, 568, 3773, 1155, 16, 11003, 267, 16, 32729, 16, 26885, 16, 3600, 8317, 289, 25071, 32081, 26834, 18, 889, 14591, 281, 13470, 35639, 4118, 18457, 1683, 510, 360, 19915, 579, 700, 519, 4981, 422, 2009, 13006, 354, 18, 11339, 2283, 857, 5267, 478, 26960, 27609, 23987, 910, 2686, 282, 2604, 1045, 309, 9357, 547, 371, 342, 13728, 15459, 29272, 263, 20631, 4752, 685, 7391, 286, 11024, 860, 561 ]
[ 14962, 32991, 863, 17615, 718, 6842, 8604, 36130, 301, 353, 10476, 6812, 349, 4843, 24, 16, 28, 5096, 16, 367, 10353, 42708, 363, 282, 478, 7306, 9055, 350, 10476, 3090, 6315, 1406, 21629, 470, 289, 1559, 6906, 12148, 1923, 6271, 478, 7306, 9055, 350, 10476, 3090, 861, 365, 4145, 1045, 14591, 943, 33971, 1286, 16, 21, 3763, 311, 9008, 42078, 16, 1409, 3763, 311, 39232, 416, 2458, 289, 1061, 16, 25, 3763, 311, 13006, 354, 18, 21373, 516, 15966, 14591, 2122, 6286, 2712, 282, 6551, 16, 7589, 668, 439, 10300, 16, 2553, 45790, 718, 24783, 16, 282, 5347, 17048, 289, 16109, 18, 42429, 1262, 2496, 7898, 14264, 354, 33890, 13656, 282, 3998, 3598, 1011, 15532, 4518, 4238, 16, 785, 567, 808, 11255, 660, 2514, 25415, 914, 1734, 22619, 4855, 1658, 11540, 322, 16868, 823, 32295, 38299, 6902, 2035, 9008, 42078, 18, 459, 481, 685, 322, 2615, 3022, 30660, 30, 282, 11500, 309, 3709, 411, 21592, 291, 14264, 354, 4243, 9115, 1979, 44574, 432, 12497, 1846, 567, 808, 16682, 18, 20922, 2624, 2458, 13761, 309, 24268, 607, 281, 29075, 18787, 21941, 519, 430, 4500, 18, 7307, 16, 14090, 30436, 2644, 5197, 16, 9193, 10438, 9358, 617, 7297, 289, 12424, 10185, 16, 5134, 475, 7272, 334, 48037, 1288, 954, 33366, 8640, 309, 15242, 18, 1591, 808, 46281, 2418, 3598, 639, 2732, 315, 1912, 2634, 40409, 9657, 16, 14381, 541, 35022, 9964, 38301, 16, 1011, 1660, 329, 9657, 7134, 1568, 448, 10317, 541, 17420, 32430, 382, 18, 365, 2456, 25991, 26314, 15684, 8597, 416, 16, 453, 428, 678, 322, 906, 37386, 8087, 289, 2574, 8140, 7735, 281, 9444, 43903, 478, 7306, 9055, 350, 780, 341, 3090, 6315, 1406, 21629, 861, 478, 2176, 5734, 2083, 309, 25991, 44593, 687, 2418, 33229, 31740, 411, 28818, 18, 365, 2630, 281, 2184, 44422, 8140, 1759, 9818, 3384, 6352, 7489, 723, 9098, 1844, 2592, 23951, 13553, 265, 282, 3705, 26233, 20498, 712, 6993, 31134, 856, 5808, 309, 11656, 8292, 2303, 370, 616, 7712, 416, 2926, 18, 4406, 30516, 20889, 36716, 2303, 15184, 291, 13412, 590, 1896, 291, 13223, 16, 374, 895, 7869, 294, 3060, 317, 1734, 45630, 282, 40349, 322, 687, 14264, 354, 16, 515, 289, 2001, 18, 365, 4675, 808, 29961, 5754, 15486, 29799, 6730, 424, 18409, 910, 510, 13462, 282, 23032, 478, 7306, 9055, 350, 780, 341, 3090, 6315, 1406, 21629, 861, 47488, 4797, 8777, 21592, 291, 289, 914, 1378, 772, 2607, 9634, 286, 16, 453, 428, 481, 11210, 281, 16218, 536, 18457, 1683, 16, 282, 3198, 21958, 30124, 17858, 7151, 10967, 289, 46025, 11364, 917, 1810, 7297, 16, 453, 428, 40022, 28116, 541, 7297, 510, 481, 9250, 21535, 451, 3672, 16, 2391, 827, 697, 322, 2173, 874, 371, 5458, 1734, 46634, 14355, 553, 16, 8700, 289, 697, 5846, 11287, 6146, 13805, 764, 24665, 539, 808, 289, 46609, 294, 46319, 1783, 2675, 16, 10050, 29846, 6357, 12189, 416, 3463, 1902, 42362, 12507, 34216, 778, 18, 365, 2630, 281, 2184, 2826, 45173, 371, 48574, 294, 30292, 395, 16, 867, 1033, 374, 35639, 3384, 38327, 309, 4862, 33144, 1314, 322, 4289, 10544, 6477, 16, 367, 481, 11113, 1527, 31296, 6951, 16, 23751, 12189, 18, 640, 5734, 2083, 282, 43903, 478, 7306, 9055, 350, 780, 341, 3090, 6315, 1406, 21629, 470, 7393, 1033, 3695, 6130, 1135, 16, 22434, 7601, 549, 24660, 4896, 2418, 6130, 15276, 47568, 25, 7751, 814, 478, 4592, 1623, 24886, 416, 2496, 8743, 43219, 17, 921, 33284, 607, 2160, 10139, 2665, 18, 385, 4183, 3598, 29418, 906, 2961, 12720, 519, 1939, 9, 910, 510, 30937, 282, 2241, 18, 8444, 478, 7306, 9055, 350, 780, 341, 3090, 470, 6153, 6406, 282, 5969, 5754, 281, 6175, 505, 13913, 1658, 5096, 4662, 281, 9752, 24637, 22636, 16, 3429, 40692, 34658, 13588, 4520, 282, 4862, 18, 365, 13673, 1293, 986, 32872, 42450, 764, 430, 16, 25, 5096, 4662, 282, 5969, 4981, 519, 1939, 5759, 779, 18, 20012, 1500, 5809, 16, 374, 4704, 8034, 282, 11113, 2848, 35639, 4846, 10845, 281, 37819, 10325, 16, 13446, 16, 374, 8996, 2272, 32580, 2712, 5693, 1439, 285, 3920, 16, 322, 2353, 16, 2552, 1119, 396, 793, 840, 39074, 2337, 721, 939, 10728, 16, 367, 25207, 41476, 309, 31438, 422, 2009, 13006, 354, 14022, 1867, 14440, 42588, 349, 12006, 28261, 16, 23751, 34216, 778, 18, 4530, 867, 16, 334, 3761, 41886, 15137, 13257, 2458, 473, 59, 4962, 849, 73, 863, 934, 282, 11500, 11826, 779, 6980, 10315, 6915, 8357, 2458, 309, 1032, 16, 27, 7418, 519, 430, 16, 27, 3572, 3763, 7833, 334, 7413, 281, 41050, 32973, 6705, 779, 18, 967, 803, 16, 428, 45670, 10027, 608, 682, 682, 16, 282, 25902, 14795, 13257, 2458, 6980, 23576, 281, 1912, 17, 361, 309, 2418, 17, 263, 1756, 18, 365, 12500, 6705, 779, 11189, 685, 1568, 39918, 6149, 764, 1176, 16987, 4960, 309, 5814, 24753, 2893, 510, 602, 324, 382, 14337, 35639, 2403, 4704, 16, 2789, 5171, 282, 11113, 2848, 282, 4008, 3584, 315, 17, 921, 33284, 607, 4846, 10845, 9703, 375, 1246, 16, 282, 12335, 505, 2673, 356, 39918, 4110, 16, 367, 583, 492, 685, 3125, 7429, 1390, 23536, 47994, 13586, 18, 365, 5329, 4982, 27441, 16149, 28246, 411, 2665, 282, 5572, 19936, 11826, 779, 334, 7413, 281, 41050, 32973, 7847, 779, 39826, 309, 1286, 16, 23, 7418, 367, 24749, 360, 7446, 3821, 3200, 12109, 553, 20299, 1715, 3405, 16, 26, 5999, 824, 3761, 11198, 1734, 30023, 16, 282, 17870, 1873, 23071, 27441, 16149, 28246, 411, 2665, 334, 8872, 7847, 779, 1143, 1223, 7438, 2122, 6286, 7667, 309, 29577, 2044, 26642, 8506, 473, 8066, 16, 28, 21327, 41470, 16400, 473, 5493, 16, 25, 21327, 20770, 473, 3114, 16, 26, 18314, 289, 16879, 473, 3572, 21956, 2, 1, 87, 1456, 81, 2448, 30, 677, 38503, 680, 1767, 28809, 1119, 1783, 3363, 18, 41004, 2873, 3227, 6563, 20590, 16689, 291, 309, 2468, 36167, 7894, 1642, 16, 8361, 1209, 12343, 17626, 18, 23302, 12439, 4511, 10531, 16, 371, 4581, 520, 8794, 541, 12712, 18, 31224, 30, 41066, 282, 9937, 282, 22449, 34533, 906, 44953, 8008, 7870, 15849, 30, 8811, 12439, 30849, 5740, 16689, 276, 519, 15514, 1901, 14031, 309, 2468, 15638, 39297, 23855, 282, 4122, 4855, 9469, 19, 21, 334, 4625, 11719, 24044, 718, 18, 478, 6039, 292, 12343, 510, 1533, 1135, 510, 726, 13200, 2251, 910, 510, 6442, 478, 46088, 18, 8381, 470, 282, 12439, 334, 38503, 680, 1767, 18, 1598, 5544, 12343, 7109, 1135, 5440 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14962, 32991, 863, 17615, 718, 6842, 8604, 36130, 301, 353, 10476, 6812, 349, 4843, 24, 16, 28, 5096, 16, 367, 10353, 42708, 363, 282, 478, 7306, 9055, 350, 10476, 3090, 6315, 1406, 21629, 470, 289, 1559, 6906, 12148, 1923, 6271, 478, 7306, 9055, 350, 10476, 3090, 861, 365, 4145, 1045, 14591, 943, 33971, 1286, 16, 21, 3763, 311, 9008, 42078, 16, 1409, 3763, 311, 39232, 416, 2458, 289, 1061, 16, 25, 3763, 311, 13006, 354, 18, 21373, 516, 15966, 14591, 2122, 6286, 2712, 282, 6551, 16, 7589, 668, 439, 10300, 16, 2553, 45790, 718, 24783, 16, 282, 5347, 17048, 289, 16109, 18, 42429, 1262, 2496, 7898, 14264, 354, 33890, 13656, 282, 3998, 3598, 1011, 15532, 4518, 4238, 16, 785, 567, 808, 11255, 660, 2514, 25415, 914, 1734, 22619, 4855, 1658, 11540, 322, 16868, 823, 32295, 38299, 6902, 2035, 9008, 42078, 18, 459, 481, 685, 322, 2615, 3022, 30660, 30, 282, 11500, 309, 3709, 411, 21592, 291, 14264, 354, 4243, 9115, 1979, 44574, 432, 12497, 1846, 567, 808, 16682, 18, 20922, 2624, 2458, 13761, 309, 24268, 607, 281, 29075, 18787, 21941, 519, 430, 4500, 18, 7307, 16, 14090, 30436, 2644, 5197, 16, 9193, 10438, 9358, 617, 7297, 289, 12424, 10185, 16, 5134, 475, 7272, 334, 48037, 1288, 954, 33366, 8640, 309, 15242, 18, 1591, 808, 46281, 2418, 3598, 639, 2732, 315, 1912, 2634, 40409, 9657, 16, 14381, 541, 35022, 9964, 38301, 16, 1011, 1660, 329, 9657, 7134, 1568, 448, 10317, 541, 17420, 32430, 382, 18, 365, 2456, 25991, 26314, 15684, 8597, 416, 16, 453, 428, 678, 322, 906, 37386, 8087, 289, 2574, 8140, 7735, 281, 9444, 43903, 478, 7306, 9055, 350, 780, 341, 3090, 6315, 1406, 21629, 861, 478, 2176, 5734, 2083, 309, 25991, 44593, 687, 2418, 33229, 31740, 411, 28818, 18, 365, 2630, 281, 2184, 44422, 8140, 1759, 9818, 3384, 6352, 7489, 723, 9098, 1844, 2592, 23951, 13553, 265, 282, 3705, 26233, 20498, 712, 6993, 31134, 856, 5808, 309, 11656, 8292, 2303, 370, 616, 7712, 416, 2926, 18, 4406, 30516, 20889, 36716, 2303, 15184, 291, 13412, 590, 1896, 291, 13223, 16, 374, 895, 7869, 294, 3060, 317, 1734, 45630, 282, 40349, 322, 687, 14264, 354, 16, 515, 289, 2001, 18, 365, 4675, 808, 29961, 5754, 15486, 29799, 6730, 424, 18409, 910, 510, 13462, 282, 23032, 478, 7306, 9055, 350, 780, 341, 3090, 6315, 1406, 21629, 861, 47488, 4797, 8777, 21592, 291, 289, 914, 1378, 772, 2607, 9634, 286, 16, 453, 428, 481, 11210, 281, 16218, 536, 18457, 1683, 16, 282, 3198, 21958, 30124, 17858, 7151, 10967, 289, 46025, 11364, 917, 1810, 7297, 16, 453, 428, 40022, 28116, 541, 7297, 510, 481, 9250, 21535, 451, 3672, 16, 2391, 827, 697, 322, 2173, 874, 371, 5458, 1734, 46634, 14355, 553, 16, 8700, 289, 697, 5846, 11287, 6146, 13805, 764, 24665, 539, 808, 289, 46609, 294, 46319, 1783, 2675, 16, 10050, 29846, 6357, 12189, 416, 3463, 1902, 42362, 12507, 34216, 778, 18, 365, 2630, 281, 2184, 2826, 45173, 371, 48574, 294, 30292, 395, 16, 867, 1033, 374, 35639, 3384, 38327, 309, 4862, 33144, 1314, 322, 4289, 10544, 6477, 16, 367, 481, 11113, 1527, 31296, 6951, 16, 23751, 12189, 18, 640, 5734, 2083, 282, 43903, 478, 7306, 9055, 350, 780, 341, 3090, 6315, 1406, 21629, 470, 7393, 1033, 3695, 6130, 1135, 16, 22434, 7601, 549, 24660, 4896, 2418, 6130, 15276, 47568, 25, 7751, 814, 478, 4592, 1623, 24886, 416, 2496, 8743, 43219, 17, 921, 33284, 607, 2160, 10139, 2665, 18, 385, 4183, 3598, 29418, 906, 2961, 12720, 519, 1939, 9, 910, 510, 30937, 282, 2241, 18, 8444, 478, 7306, 9055, 350, 780, 341, 3090, 470, 6153, 6406, 282, 5969, 5754, 281, 6175, 505, 13913, 1658, 5096, 4662, 281, 9752, 24637, 22636, 16, 3429, 40692, 34658, 13588, 4520, 282, 4862, 18, 365, 13673, 1293, 986, 32872, 42450, 764, 430, 16, 25, 5096, 4662, 282, 5969, 4981, 519, 1939, 5759, 779, 18, 20012, 1500, 5809, 16, 374, 4704, 8034, 282, 11113, 2848, 35639, 4846, 10845, 281, 37819, 10325, 16, 13446, 16, 374, 8996, 2272, 32580, 2712, 5693, 1439, 285, 3920, 16, 322, 2353, 16, 2552, 1119, 396, 793, 840, 39074, 2337, 721, 939, 10728, 16, 367, 25207, 41476, 309, 31438, 422, 2009, 13006, 354, 14022, 1867, 14440, 42588, 349, 12006, 28261, 16, 23751, 34216, 778, 18, 4530, 867, 16, 334, 3761, 41886, 15137, 13257, 2458, 473, 59, 4962, 849, 73, 863, 934, 282, 11500, 11826, 779, 6980, 10315, 6915, 8357, 2458, 309, 1032, 16, 27, 7418, 519, 430, 16, 27, 3572, 3763, 7833, 334, 7413, 281, 41050, 32973, 6705, 779, 18, 967, 803, 16, 428, 45670, 10027, 608, 682, 682, 16, 282, 25902, 14795, 13257, 2458, 6980, 23576, 281, 1912, 17, 361, 309, 2418, 17, 263, 1756, 18, 365, 12500, 6705, 779, 11189, 685, 1568, 39918, 6149, 764, 1176, 16987, 4960, 309, 5814, 24753, 2893, 510, 602, 324, 382, 14337, 35639, 2403, 4704, 16, 2789, 5171, 282, 11113, 2848, 282, 4008, 3584, 315, 17, 921, 33284, 607, 4846, 10845, 9703, 375, 1246, 16, 282, 12335, 505, 2673, 356, 39918, 4110, 16, 367, 583, 492, 685, 3125, 7429, 1390, 23536, 47994, 13586, 18, 365, 5329, 4982, 27441, 16149, 28246, 411, 2665, 282, 5572, 19936, 11826, 779, 334, 7413, 281, 41050, 32973, 7847, 779, 39826, 309, 1286, 16, 23, 7418, 367, 24749, 360, 7446, 3821, 3200, 12109, 553, 20299, 1715, 3405, 16, 26, 5999, 824, 3761, 11198, 1734, 30023, 16, 282, 17870, 1873, 23071, 27441, 16149, 28246, 411, 2665, 334, 8872, 7847, 779, 1143, 1223, 7438, 2122, 6286, 7667, 309, 29577, 2044, 26642, 8506, 473, 8066, 16, 28, 21327, 41470, 16400, 473, 5493, 16, 25, 21327, 20770, 473, 3114, 16, 26, 18314, 289, 16879, 473, 3572, 21956, 2, 1, 87, 1456, 81, 2448, 30, 677, 38503, 680, 1767, 28809, 1119, 1783, 3363, 18, 41004, 2873, 3227, 6563, 20590, 16689, 291, 309, 2468, 36167, 7894, 1642, 16, 8361, 1209, 12343, 17626, 18, 23302, 12439, 4511, 10531, 16, 371, 4581, 520, 8794, 541, 12712, 18, 31224, 30, 41066, 282, 9937, 282, 22449, 34533, 906, 44953, 8008, 7870, 15849, 30, 8811, 12439, 30849, 5740, 16689, 276, 519, 15514, 1901, 14031, 309, 2468, 15638, 39297, 23855, 282, 4122, 4855, 9469, 19, 21, 334, 4625, 11719, 24044, 718, 18, 478, 6039, 292, 12343, 510, 1533, 1135, 510, 726, 13200, 2251, 910, 510, 6442, 478, 46088, 18, 8381, 470, 282, 12439, 334, 38503, 680, 1767, 18, 1598, 5544, 12343, 7109, 1135, 5440 ]
[ 282, 9115, 8521, 32586, 4122, 18, 889, 19856, 17, 16981, 12975, 21106, 8053, 16, 18452, 17, 7745, 403, 28236, 20848, 3951, 16, 19373, 17, 16981, 16852, 1034, 1447, 8053, 16, 18452, 17, 16981, 24158, 450, 1042, 45615, 16, 11166, 17, 16981, 632, 896, 32017, 421, 649, 3340, 16, 17842, 17, 7745, 18159, 21713, 291, 16, 367, 1038, 764, 6501, 5164, 16, 16118, 10896, 2820, 322, 12642, 16, 510, 30308, 5888, 1034, 525, 292, 921, 291, 289, 27433, 347, 948, 11997, 10810, 401, 18, 365, 14526, 12343, 12489, 37079, 11995, 478, 32673, 2749, 910, 34946, 309, 5572, 12444, 1642, 16, 510, 10261, 44703, 18128, 289, 18182, 33073, 401, 18, 5403, 966, 18499, 38408, 16, 26987, 10493, 411, 17, 1567, 16689, 291, 16, 5915, 19130, 17, 299, 13669, 18, 365, 38503, 680, 1767, 28809, 1119, 1783, 3363, 18, 1012, 675, 2508, 12460, 2508, 12530, 10408, 49405, 510, 281, 2872, 7393, 8947, 18, 4039, 17, 16981, 12975, 504, 3174, 3583, 16, 1544, 1712, 282, 8303, 4855, 9690, 309, 43141, 12444, 16, 10703, 478, 46088, 18, 8381, 910, 374, 349, 1293, 1879, 519, 19524, 10491, 281, 1205, 1475, 1116, 14049, 19403, 323, 3977, 510, 1011, 16575, 416, 23608, 18, 2112, 19599, 44335, 914, 27406, 300, 16, 4411, 23798, 4282, 16, 387, 13982, 411, 7428, 289, 2756, 33211, 334, 9745, 18, 740, 1011, 26123, 16140, 17694, 726, 322, 639, 18, 3782, 864, 1709, 549, 4411, 17976, 977, 282, 48317, 2979, 510, 773, 11802, 3708, 16, 329, 1754, 309, 4082, 1320, 685, 8339, 510, 764, 42510, 49811, 18, 35283, 343, 836, 6915, 504, 3174, 10561, 282, 8094, 16, 289, 1373, 575, 329, 43417, 349, 6381, 15638, 3306, 46452, 1542, 675, 1974, 281, 46756, 5268, 16648, 15722, 18, 9997, 263, 289, 722, 18707, 25682, 28121, 411, 5606, 48318, 6402, 8094, 18, 16279, 17, 16981, 12836, 41124, 411, 7428, 4855, 11281, 906, 4176, 798, 281, 3195, 27710, 17694, 18, 1253, 5915, 282, 18857, 34304, 2095, 11202, 23855, 18, 41124, 281, 3000, 23400, 27547, 3961, 26032, 13954, 282, 6648, 4855, 6837, 18, 478, 4348, 1223, 520, 17091, 16, 417, 8824, 11575, 525, 282, 828, 387, 13982, 16, 289, 475, 16, 510, 10662, 12836, 28429, 18, 510, 6023, 26454, 17483, 16, 1436, 4314, 39288, 16, 656, 27797, 861, 17942, 8340, 2891, 26454, 40825, 289, 42633, 11244, 510, 785, 840, 5095, 759, 363, 7730, 1545, 5067, 13312, 18, 1241, 13271, 6598, 639, 11841, 315, 21374, 430, 3763, 2791, 18, 14445, 541, 18581, 11157, 2364, 8241, 26032, 13954, 16, 961, 40088, 1166, 424, 1386, 8520, 16, 4076, 46107, 16, 30763, 26263, 16, 33539, 18, 2839, 32332, 17305, 1372, 1248, 17757, 5324, 18, 29988, 414, 11583, 2241, 289, 32950, 38020, 18, 1681, 6398, 2299, 360, 2095, 3599, 935, 3711, 30362, 30, 3191, 4076, 35670, 935, 282, 36039, 3302, 31952, 12937, 18, 4802, 10292, 1055, 322, 31053, 2625, 477, 25736, 16154, 290, 14837, 800, 411, 7428, 309, 15301, 12444, 18, 20169, 1383, 23617, 302, 2375, 342, 7768, 16, 374, 492, 685, 2835, 11034, 5769, 489, 10635, 1235, 289, 8754, 300, 24915, 874, 965, 281, 3195, 8697, 16, 9848, 16338, 9216, 35280, 10517, 718, 3594, 33515, 7920, 4210, 12067, 483, 18, 45688, 15424, 282, 25834, 47545, 17842, 17, 7745, 18159, 21713, 291, 685, 22525, 3994, 1757, 424, 349, 1909, 353, 3348, 411, 7426, 18, 2320, 1912, 17, 16981, 6304, 12836, 289, 16279, 17, 16981, 16548, 18182, 1034, 1060, 297, 28837, 401, 1011, 9115, 1443, 1642, 898, 14322, 6405, 6458, 282, 8587, 13531, 16, 988, 2891, 36385, 1209, 18581, 18, 3397, 281, 2872, 381, 8171, 302, 2375, 342, 2873, 18, 5043, 16, 13391, 10179, 2582, 1143, 4612, 7475, 23723, 617, 477, 1963, 47089, 21746, 18, 43393, 873, 1642, 1038, 15833, 16, 374, 2615, 7569, 4733, 364, 30329, 668, 10255, 309, 5268, 24620, 7674, 13021, 16, 374, 3872, 7322, 16, 827, 14513, 16, 374, 2303, 685, 25848, 289, 12011, 1957, 687, 282, 2059, 8303, 18, 1591, 12241, 898, 3696, 2626, 2846, 10235, 30650, 510, 6187, 5119, 914, 1385, 16695, 478, 618, 19027, 4920, 17792, 35368, 470, 3720, 1258, 17108, 2506, 16, 6548, 10729, 16, 505, 9128, 289, 10344, 4308, 2241, 16, 367, 1038, 6187, 7024, 11828, 478, 2997, 28249, 4855, 27, 861, 365, 4599, 1129, 18966, 1743, 334, 327, 18, 816, 422, 18, 491, 1618, 11828, 2407, 473, 16076, 1979, 8410, 27710, 3623, 16, 31758, 2284, 16619, 1949, 289, 1033, 1562, 814, 33714, 726, 28384, 16, 10729, 3164, 282, 14154, 16, 428, 687, 492, 11981, 7762, 16, 505, 1038, 10570, 266, 16, 27250, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 23359, 11925, 7956, 2124, 274, 3583, 18, 824, 722, 3163, 16, 36560, 10258, 387, 339, 454, 6702, 282, 12899, 38530, 18, 11101, 282, 17329, 20043, 3828, 478, 46088, 18, 8381, 910, 374, 16, 334, 20709, 277, 41219, 16, 914, 4855, 9469, 19, 21, 6711, 808, 2158, 3337, 2853, 20233, 478, 618, 19027, 4920, 17792, 3045, 23437, 470, 289, 7296, 2545, 2241, 18, 824, 8872, 10438, 745, 478, 2824, 17, 299, 703, 326, 282, 2303, 12077, 49805, 861, 478, 732, 3681, 4538, 16, 282, 970, 16, 374, 914, 8211, 16, 14658, 322, 687, 14999, 7428, 281, 11202, 16140, 910, 510, 3404, 5042, 7897, 18, 48011, 16412, 8827, 5272, 19341, 281, 23579, 294, 2891, 2464, 319, 2303, 5202, 523, 478, 28845, 5615, 309, 2303, 7576, 13290, 475, 1269, 15694, 382, 861, 365, 478, 618, 19027, 4920, 17792, 39918, 409, 470, 282, 4462, 13021, 35076, 322, 18189, 34169, 27186, 18, 450, 389, 418, 9902, 3225, 687, 519, 39656, 16, 988, 48318, 16, 374, 478, 10767, 1085, 17, 299, 411, 12457, 11585, 309, 3705, 16, 502, 492, 4573, 37950, 3213, 861, 365, 1258, 28249, 4855, 1409, 322, 687, 322, 13985, 4364, 10570, 564, 1728, 8840, 16, 515, 935, 38199, 7818, 505, 3499, 30, 478, 4348, 1329, 5792, 3111, 322, 3984, 861, 4530, 867, 2496, 4186, 22449, 34533, 13981, 44769, 294, 7475, 281, 7569, 304, 373, 16596, 8697, 18, 36901, 23716, 1749, 11767, 467, 282, 36539, 289, 6071, 3462, 18, 6373, 411, 14999, 2543, 2001, 424, 537, 635, 1002, 21, 82, 22, 90, 23, 2548, 16, 374, 3757, 7569, 8697, 44557, 11534, 2708, 1510, 13312, 18, 478, 1140, 3212, 21237, 282, 3437, 15694, 547, 4122, 7415, 5004, 2158, 35510, 2303, 309, 5572, 12444, 18, 32310, 30, 29473, 3708, 16, 1544, 1712, 282, 1335, 8303, 16, 4188, 303, 1003, 16, 515, 935, 43486, 309, 2468, 18, 34999, 7280, 12943, 396 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 9115, 8521, 32586, 4122, 18, 889, 19856, 17, 16981, 12975, 21106, 8053, 16, 18452, 17, 7745, 403, 28236, 20848, 3951, 16, 19373, 17, 16981, 16852, 1034, 1447, 8053, 16, 18452, 17, 16981, 24158, 450, 1042, 45615, 16, 11166, 17, 16981, 632, 896, 32017, 421, 649, 3340, 16, 17842, 17, 7745, 18159, 21713, 291, 16, 367, 1038, 764, 6501, 5164, 16, 16118, 10896, 2820, 322, 12642, 16, 510, 30308, 5888, 1034, 525, 292, 921, 291, 289, 27433, 347, 948, 11997, 10810, 401, 18, 365, 14526, 12343, 12489, 37079, 11995, 478, 32673, 2749, 910, 34946, 309, 5572, 12444, 1642, 16, 510, 10261, 44703, 18128, 289, 18182, 33073, 401, 18, 5403, 966, 18499, 38408, 16, 26987, 10493, 411, 17, 1567, 16689, 291, 16, 5915, 19130, 17, 299, 13669, 18, 365, 38503, 680, 1767, 28809, 1119, 1783, 3363, 18, 1012, 675, 2508, 12460, 2508, 12530, 10408, 49405, 510, 281, 2872, 7393, 8947, 18, 4039, 17, 16981, 12975, 504, 3174, 3583, 16, 1544, 1712, 282, 8303, 4855, 9690, 309, 43141, 12444, 16, 10703, 478, 46088, 18, 8381, 910, 374, 349, 1293, 1879, 519, 19524, 10491, 281, 1205, 1475, 1116, 14049, 19403, 323, 3977, 510, 1011, 16575, 416, 23608, 18, 2112, 19599, 44335, 914, 27406, 300, 16, 4411, 23798, 4282, 16, 387, 13982, 411, 7428, 289, 2756, 33211, 334, 9745, 18, 740, 1011, 26123, 16140, 17694, 726, 322, 639, 18, 3782, 864, 1709, 549, 4411, 17976, 977, 282, 48317, 2979, 510, 773, 11802, 3708, 16, 329, 1754, 309, 4082, 1320, 685, 8339, 510, 764, 42510, 49811, 18, 35283, 343, 836, 6915, 504, 3174, 10561, 282, 8094, 16, 289, 1373, 575, 329, 43417, 349, 6381, 15638, 3306, 46452, 1542, 675, 1974, 281, 46756, 5268, 16648, 15722, 18, 9997, 263, 289, 722, 18707, 25682, 28121, 411, 5606, 48318, 6402, 8094, 18, 16279, 17, 16981, 12836, 41124, 411, 7428, 4855, 11281, 906, 4176, 798, 281, 3195, 27710, 17694, 18, 1253, 5915, 282, 18857, 34304, 2095, 11202, 23855, 18, 41124, 281, 3000, 23400, 27547, 3961, 26032, 13954, 282, 6648, 4855, 6837, 18, 478, 4348, 1223, 520, 17091, 16, 417, 8824, 11575, 525, 282, 828, 387, 13982, 16, 289, 475, 16, 510, 10662, 12836, 28429, 18, 510, 6023, 26454, 17483, 16, 1436, 4314, 39288, 16, 656, 27797, 861, 17942, 8340, 2891, 26454, 40825, 289, 42633, 11244, 510, 785, 840, 5095, 759, 363, 7730, 1545, 5067, 13312, 18, 1241, 13271, 6598, 639, 11841, 315, 21374, 430, 3763, 2791, 18, 14445, 541, 18581, 11157, 2364, 8241, 26032, 13954, 16, 961, 40088, 1166, 424, 1386, 8520, 16, 4076, 46107, 16, 30763, 26263, 16, 33539, 18, 2839, 32332, 17305, 1372, 1248, 17757, 5324, 18, 29988, 414, 11583, 2241, 289, 32950, 38020, 18, 1681, 6398, 2299, 360, 2095, 3599, 935, 3711, 30362, 30, 3191, 4076, 35670, 935, 282, 36039, 3302, 31952, 12937, 18, 4802, 10292, 1055, 322, 31053, 2625, 477, 25736, 16154, 290, 14837, 800, 411, 7428, 309, 15301, 12444, 18, 20169, 1383, 23617, 302, 2375, 342, 7768, 16, 374, 492, 685, 2835, 11034, 5769, 489, 10635, 1235, 289, 8754, 300, 24915, 874, 965, 281, 3195, 8697, 16, 9848, 16338, 9216, 35280, 10517, 718, 3594, 33515, 7920, 4210, 12067, 483, 18, 45688, 15424, 282, 25834, 47545, 17842, 17, 7745, 18159, 21713, 291, 685, 22525, 3994, 1757, 424, 349, 1909, 353, 3348, 411, 7426, 18, 2320, 1912, 17, 16981, 6304, 12836, 289, 16279, 17, 16981, 16548, 18182, 1034, 1060, 297, 28837, 401, 1011, 9115, 1443, 1642, 898, 14322, 6405, 6458, 282, 8587, 13531, 16, 988, 2891, 36385, 1209, 18581, 18, 3397, 281, 2872, 381, 8171, 302, 2375, 342, 2873, 18, 5043, 16, 13391, 10179, 2582, 1143, 4612, 7475, 23723, 617, 477, 1963, 47089, 21746, 18, 43393, 873, 1642, 1038, 15833, 16, 374, 2615, 7569, 4733, 364, 30329, 668, 10255, 309, 5268, 24620, 7674, 13021, 16, 374, 3872, 7322, 16, 827, 14513, 16, 374, 2303, 685, 25848, 289, 12011, 1957, 687, 282, 2059, 8303, 18, 1591, 12241, 898, 3696, 2626, 2846, 10235, 30650, 510, 6187, 5119, 914, 1385, 16695, 478, 618, 19027, 4920, 17792, 35368, 470, 3720, 1258, 17108, 2506, 16, 6548, 10729, 16, 505, 9128, 289, 10344, 4308, 2241, 16, 367, 1038, 6187, 7024, 11828, 478, 2997, 28249, 4855, 27, 861, 365, 4599, 1129, 18966, 1743, 334, 327, 18, 816, 422, 18, 491, 1618, 11828, 2407, 473, 16076, 1979, 8410, 27710, 3623, 16, 31758, 2284, 16619, 1949, 289, 1033, 1562, 814, 33714, 726, 28384, 16, 10729, 3164, 282, 14154, 16, 428, 687, 492, 11981, 7762, 16, 505, 1038, 10570, 266, 16, 27250, 478, 46088, 18, 8381, 470, 3781, 17, 15975, 23359, 11925, 7956, 2124, 274, 3583, 18, 824, 722, 3163, 16, 36560, 10258, 387, 339, 454, 6702, 282, 12899, 38530, 18, 11101, 282, 17329, 20043, 3828, 478, 46088, 18, 8381, 910, 374, 16, 334, 20709, 277, 41219, 16, 914, 4855, 9469, 19, 21, 6711, 808, 2158, 3337, 2853, 20233, 478, 618, 19027, 4920, 17792, 3045, 23437, 470, 289, 7296, 2545, 2241, 18, 824, 8872, 10438, 745, 478, 2824, 17, 299, 703, 326, 282, 2303, 12077, 49805, 861, 478, 732, 3681, 4538, 16, 282, 970, 16, 374, 914, 8211, 16, 14658, 322, 687, 14999, 7428, 281, 11202, 16140, 910, 510, 3404, 5042, 7897, 18, 48011, 16412, 8827, 5272, 19341, 281, 23579, 294, 2891, 2464, 319, 2303, 5202, 523, 478, 28845, 5615, 309, 2303, 7576, 13290, 475, 1269, 15694, 382, 861, 365, 478, 618, 19027, 4920, 17792, 39918, 409, 470, 282, 4462, 13021, 35076, 322, 18189, 34169, 27186, 18, 450, 389, 418, 9902, 3225, 687, 519, 39656, 16, 988, 48318, 16, 374, 478, 10767, 1085, 17, 299, 411, 12457, 11585, 309, 3705, 16, 502, 492, 4573, 37950, 3213, 861, 365, 1258, 28249, 4855, 1409, 322, 687, 322, 13985, 4364, 10570, 564, 1728, 8840, 16, 515, 935, 38199, 7818, 505, 3499, 30, 478, 4348, 1329, 5792, 3111, 322, 3984, 861, 4530, 867, 2496, 4186, 22449, 34533, 13981, 44769, 294, 7475, 281, 7569, 304, 373, 16596, 8697, 18, 36901, 23716, 1749, 11767, 467, 282, 36539, 289, 6071, 3462, 18, 6373, 411, 14999, 2543, 2001, 424, 537, 635, 1002, 21, 82, 22, 90, 23, 2548, 16, 374, 3757, 7569, 8697, 44557, 11534, 2708, 1510, 13312, 18, 478, 1140, 3212, 21237, 282, 3437, 15694, 547, 4122, 7415, 5004, 2158, 35510, 2303, 309, 5572, 12444, 18, 32310, 30, 29473, 3708, 16, 1544, 1712, 282, 1335, 8303, 16, 4188, 303, 1003, 16, 515, 935, 43486, 309, 2468, 18, 34999, 7280, 12943, 396 ]
[ 30660, 18, 42391, 1800, 20452, 5289, 924, 2411, 30541, 1642, 510, 477, 1963, 289, 322, 14717, 16, 374, 1122, 685, 7569, 8697, 18, 439, 1373, 690, 296, 5123, 435, 453, 690, 296, 5123, 435, 910, 510, 5301, 367, 19027, 8112, 18, 30179, 407, 10877, 9965, 1044, 517, 2084, 16405, 16, 374, 12529, 281, 39903, 6605, 2410, 2156, 510, 36560, 322, 3005, 453, 2156, 10526, 282, 14170, 2529, 18, 817, 1038, 22985, 16, 374, 41253, 8697, 282, 5843, 17321, 16727, 16, 961, 3255, 30122, 282, 3580, 16, 322, 48454, 294, 9115, 8608, 510, 16837, 8107, 16, 12567, 839, 43486, 289, 3966, 18, 3791, 1512, 24797, 6439, 1404, 49459, 18, 7758, 282, 27412, 2529, 4122, 3164, 28244, 12537, 16, 282, 1639, 8391, 816, 4234, 1135, 18, 1598, 1129, 4451, 10631, 3118, 2261, 12537, 16, 12860, 510, 1658, 18, 478, 677, 4451, 9439, 2095, 1642, 32953, 15882, 41219, 16, 2686, 9600, 41649, 25055, 1135, 910, 510, 3110, 46899, 11285, 334, 38503, 680, 1767, 18, 28347, 1642, 4266, 16, 374, 2891, 26485, 26454, 14090, 7428, 22651, 38083, 16, 515, 971, 12002, 16, 374, 2352, 310, 954, 35767, 687, 20197, 5169, 18, 7594, 8661, 467, 3022, 281, 9115, 9594, 42277, 309, 4625, 9762, 16976, 16, 11166, 19, 22, 16, 282, 5021, 1045, 18, 3529, 1749, 16, 45758, 282, 39133, 334, 2831, 1147, 3297, 597, 16, 5684, 4753, 17483, 16, 367, 27713, 23388, 848, 5856, 12537, 5823, 309, 4625, 289, 519, 8508, 1612, 1382, 5385, 282, 25441, 9207, 15064, 4855, 491, 18, 365, 3178, 1949, 281, 16401, 986, 745, 10258, 1293, 24268, 1798, 16, 35628, 360, 11944, 32514, 5540, 12712, 18, 365, 6031, 36167, 14960, 20914, 485, 639, 14449, 315, 19984, 5368, 28442, 16, 289, 520, 460, 6519, 5262, 898, 14322, 5837, 505, 9512, 18, 38503, 873, 13056, 802, 16, 374, 697, 895, 5837, 28386, 30536, 18, 5043, 16, 17217, 773, 5695, 2904, 294, 23652, 477, 1963, 7638, 17, 2589, 18, 14445, 4137, 6732, 9665, 282, 439, 19027, 4920, 289, 935, 25773, 364, 5298, 3655, 914, 282, 27662, 913, 478, 18876, 451, 17, 22, 910, 1011, 1660, 2891, 1767, 19645, 16, 374, 3888, 411, 41219, 36167, 7894, 23855, 726, 898, 35035, 1007, 282, 3531, 7428, 18, 34998, 3720, 26140, 2931, 15488, 1404, 4245, 1209, 12723, 5132, 349, 1533, 2868, 18, 36017, 34144, 726, 41280, 35908, 5577, 536, 371, 22984, 6677, 5439, 282, 439, 19027, 4920, 18, 4824, 411, 14314, 35280, 10517, 933, 43773, 42519, 7947, 1483, 10075, 28946, 6463, 282, 3177, 35872, 271, 2517, 9094, 90, 67, 9562, 88, 1661, 1661, 2084, 282, 15797, 30, 478, 46920, 20924, 282, 439, 19027, 4920, 18, 889, 492, 9375, 16, 1441, 26270, 16, 374, 1001, 1394, 1463, 861, 28462, 26280, 18573, 6070, 4414, 1616, 3740, 473, 81, 29369, 3242, 17, 35810, 1084, 2084, 13, 5301, 282, 3177, 26750, 30, 478, 28863, 16, 322, 4560, 16, 4427, 3666, 32667, 6732, 18, 3397, 322, 808, 590, 277, 1855, 975, 12338, 289, 1576, 2666, 16, 374, 481, 27803, 451, 47835, 16, 515, 475, 3066, 322, 4560, 18, 5227, 749, 1047, 639, 1269, 1512, 16, 961, 3147, 1698, 7099, 5007, 448, 4075, 18, 832, 5425, 2240, 4302, 43114, 16, 515, 3891, 745, 47435, 3236, 861, 2, 1, 87, 1456, 81, 2448, 30, 684, 18540, 16442, 30307, 364, 349, 2555, 2791, 16, 5575, 2617, 10504, 22653, 2514, 4487, 1000, 18, 27304, 16828, 18, 1540, 1246, 4607, 9843, 2689, 2127, 42097, 428, 2985, 451, 2695, 282, 4190, 6764, 2545, 14075, 39888, 354, 13613, 18, 31224, 30, 677, 10666, 294, 2287, 18, 3161, 1028, 2325, 288, 546, 11465, 5874, 13198, 21426, 37543, 309, 21786, 16, 3161, 30190, 16, 519, 2555, 16, 3161, 2791, 18, 12167, 445, 453, 10728, 24257, 43523, 282, 10841, 4440, 779, 18, 6765, 2325, 288, 546, 11465, 5874, 7307, 17754, 353, 478, 25940, 470, 38778, 309, 1281, 16, 11498, 30190, 16, 519, 15173, 16, 2479, 10597, 18, 12758, 526, 10695, 334, 8823, 294, 316, 6310, 467, 416, 21293, 1153, 18, 4988, 6134, 18814, 309, 2706, 32906, 289, 14231, 6603, 16, 3902, 10597, 31, 282, 10882, 1177, 15497, 25607, 12060, 16, 17867, 18, 640, 26962, 8204, 547, 5814, 4789, 1162, 49558, 46698, 555, 334, 8823, 294, 3607, 344, 519, 37158, 3750, 411, 17, 431, 2913, 891, 334, 5083, 27838, 39888, 354, 13613, 18, 365, 10882, 2438, 3665, 16, 374, 15871, 13458, 1211, 3010, 14777, 23070, 8434, 43935, 15397, 309, 1177, 3022, 16, 49098, 895, 953, 21312, 7667, 519, 3610, 9, 45336, 282, 3368, 2257, 28356, 553, 18, 640, 23096, 92, 349, 7307, 9095, 294, 2287, 18, 7536, 21014, 4843, 21, 16, 6654, 3324, 1279, 4843, 21, 16, 8066, 10207, 282, 10882, 282, 6835, 17, 17553, 18, 832, 486, 6011, 42557, 4608, 9529, 289, 14535, 290, 29734, 4267, 32684, 477, 1728, 5174, 17916, 12456, 602, 3127, 983, 17958, 31195, 1034, 3430, 343, 18, 3747, 492, 10824, 1595, 3321, 43864, 13416, 9766, 16, 309, 5814, 5092, 6106, 16, 374, 8337, 343, 15155, 281, 25384, 2981, 353, 282, 21397, 4696, 49379, 13269, 1087, 348, 49122, 1437, 18, 40767, 1034, 3430, 343, 20988, 445, 24344, 502, 16, 374, 282, 2456, 602, 3127, 983, 48528, 13013, 16, 10050, 41330, 2241, 478, 789, 13857, 1532, 280, 470, 10618, 49537, 18, 5379, 12075, 341, 23271, 289, 22627, 12998, 3173, 11791, 1798, 25292, 6802, 477, 1963, 860, 4977, 93, 68, 87, 16, 26698, 41330, 18930, 478, 618, 12790, 470, 12975, 2502, 18746, 18, 478, 2176, 803, 8011, 13205, 24257, 19256, 35069, 18, 40765, 5751, 3328, 865, 847, 289, 17325, 2898, 309, 11460, 16, 453, 428, 329, 23271, 9307, 475, 1143, 2913, 891, 6152, 1791, 282, 6571, 16211, 16, 374, 1038, 3465, 341, 309, 25511, 910, 510, 2548, 49537, 18, 19591, 16442, 895, 953, 14736, 289, 281, 867, 16, 374, 309, 32619, 11056, 42745, 11583, 15429, 11673, 4103, 1385, 19510, 18, 1912, 3597, 1747, 35294, 3437, 1123, 564, 47749, 309, 4843, 8976, 5096, 16, 2511, 3597, 651, 11020, 564, 47749, 309, 4843, 6568, 5096, 16, 2418, 3597, 651, 14973, 1123, 564, 15067, 700, 309, 4843, 4234, 5096, 18, 5333, 2175, 16, 349, 1421, 2299, 44258, 840, 38996, 4843, 12770, 5096, 18, 478, 22975, 2145, 3043, 14817, 2961, 886, 968, 16, 2879, 953, 9467, 8087, 2745, 11402, 38305, 2959, 282, 2100, 13863, 22506, 309, 6841, 1505, 31294, 289, 590, 266, 1214, 14758, 282, 42080, 31294, 510, 24257, 289, 16775, 8379, 16, 510, 10050, 2502, 18746, 18, 510, 2667, 490, 622, 334, 1533 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30660, 18, 42391, 1800, 20452, 5289, 924, 2411, 30541, 1642, 510, 477, 1963, 289, 322, 14717, 16, 374, 1122, 685, 7569, 8697, 18, 439, 1373, 690, 296, 5123, 435, 453, 690, 296, 5123, 435, 910, 510, 5301, 367, 19027, 8112, 18, 30179, 407, 10877, 9965, 1044, 517, 2084, 16405, 16, 374, 12529, 281, 39903, 6605, 2410, 2156, 510, 36560, 322, 3005, 453, 2156, 10526, 282, 14170, 2529, 18, 817, 1038, 22985, 16, 374, 41253, 8697, 282, 5843, 17321, 16727, 16, 961, 3255, 30122, 282, 3580, 16, 322, 48454, 294, 9115, 8608, 510, 16837, 8107, 16, 12567, 839, 43486, 289, 3966, 18, 3791, 1512, 24797, 6439, 1404, 49459, 18, 7758, 282, 27412, 2529, 4122, 3164, 28244, 12537, 16, 282, 1639, 8391, 816, 4234, 1135, 18, 1598, 1129, 4451, 10631, 3118, 2261, 12537, 16, 12860, 510, 1658, 18, 478, 677, 4451, 9439, 2095, 1642, 32953, 15882, 41219, 16, 2686, 9600, 41649, 25055, 1135, 910, 510, 3110, 46899, 11285, 334, 38503, 680, 1767, 18, 28347, 1642, 4266, 16, 374, 2891, 26485, 26454, 14090, 7428, 22651, 38083, 16, 515, 971, 12002, 16, 374, 2352, 310, 954, 35767, 687, 20197, 5169, 18, 7594, 8661, 467, 3022, 281, 9115, 9594, 42277, 309, 4625, 9762, 16976, 16, 11166, 19, 22, 16, 282, 5021, 1045, 18, 3529, 1749, 16, 45758, 282, 39133, 334, 2831, 1147, 3297, 597, 16, 5684, 4753, 17483, 16, 367, 27713, 23388, 848, 5856, 12537, 5823, 309, 4625, 289, 519, 8508, 1612, 1382, 5385, 282, 25441, 9207, 15064, 4855, 491, 18, 365, 3178, 1949, 281, 16401, 986, 745, 10258, 1293, 24268, 1798, 16, 35628, 360, 11944, 32514, 5540, 12712, 18, 365, 6031, 36167, 14960, 20914, 485, 639, 14449, 315, 19984, 5368, 28442, 16, 289, 520, 460, 6519, 5262, 898, 14322, 5837, 505, 9512, 18, 38503, 873, 13056, 802, 16, 374, 697, 895, 5837, 28386, 30536, 18, 5043, 16, 17217, 773, 5695, 2904, 294, 23652, 477, 1963, 7638, 17, 2589, 18, 14445, 4137, 6732, 9665, 282, 439, 19027, 4920, 289, 935, 25773, 364, 5298, 3655, 914, 282, 27662, 913, 478, 18876, 451, 17, 22, 910, 1011, 1660, 2891, 1767, 19645, 16, 374, 3888, 411, 41219, 36167, 7894, 23855, 726, 898, 35035, 1007, 282, 3531, 7428, 18, 34998, 3720, 26140, 2931, 15488, 1404, 4245, 1209, 12723, 5132, 349, 1533, 2868, 18, 36017, 34144, 726, 41280, 35908, 5577, 536, 371, 22984, 6677, 5439, 282, 439, 19027, 4920, 18, 4824, 411, 14314, 35280, 10517, 933, 43773, 42519, 7947, 1483, 10075, 28946, 6463, 282, 3177, 35872, 271, 2517, 9094, 90, 67, 9562, 88, 1661, 1661, 2084, 282, 15797, 30, 478, 46920, 20924, 282, 439, 19027, 4920, 18, 889, 492, 9375, 16, 1441, 26270, 16, 374, 1001, 1394, 1463, 861, 28462, 26280, 18573, 6070, 4414, 1616, 3740, 473, 81, 29369, 3242, 17, 35810, 1084, 2084, 13, 5301, 282, 3177, 26750, 30, 478, 28863, 16, 322, 4560, 16, 4427, 3666, 32667, 6732, 18, 3397, 322, 808, 590, 277, 1855, 975, 12338, 289, 1576, 2666, 16, 374, 481, 27803, 451, 47835, 16, 515, 475, 3066, 322, 4560, 18, 5227, 749, 1047, 639, 1269, 1512, 16, 961, 3147, 1698, 7099, 5007, 448, 4075, 18, 832, 5425, 2240, 4302, 43114, 16, 515, 3891, 745, 47435, 3236, 861, 2, 1, 87, 1456, 81, 2448, 30, 684, 18540, 16442, 30307, 364, 349, 2555, 2791, 16, 5575, 2617, 10504, 22653, 2514, 4487, 1000, 18, 27304, 16828, 18, 1540, 1246, 4607, 9843, 2689, 2127, 42097, 428, 2985, 451, 2695, 282, 4190, 6764, 2545, 14075, 39888, 354, 13613, 18, 31224, 30, 677, 10666, 294, 2287, 18, 3161, 1028, 2325, 288, 546, 11465, 5874, 13198, 21426, 37543, 309, 21786, 16, 3161, 30190, 16, 519, 2555, 16, 3161, 2791, 18, 12167, 445, 453, 10728, 24257, 43523, 282, 10841, 4440, 779, 18, 6765, 2325, 288, 546, 11465, 5874, 7307, 17754, 353, 478, 25940, 470, 38778, 309, 1281, 16, 11498, 30190, 16, 519, 15173, 16, 2479, 10597, 18, 12758, 526, 10695, 334, 8823, 294, 316, 6310, 467, 416, 21293, 1153, 18, 4988, 6134, 18814, 309, 2706, 32906, 289, 14231, 6603, 16, 3902, 10597, 31, 282, 10882, 1177, 15497, 25607, 12060, 16, 17867, 18, 640, 26962, 8204, 547, 5814, 4789, 1162, 49558, 46698, 555, 334, 8823, 294, 3607, 344, 519, 37158, 3750, 411, 17, 431, 2913, 891, 334, 5083, 27838, 39888, 354, 13613, 18, 365, 10882, 2438, 3665, 16, 374, 15871, 13458, 1211, 3010, 14777, 23070, 8434, 43935, 15397, 309, 1177, 3022, 16, 49098, 895, 953, 21312, 7667, 519, 3610, 9, 45336, 282, 3368, 2257, 28356, 553, 18, 640, 23096, 92, 349, 7307, 9095, 294, 2287, 18, 7536, 21014, 4843, 21, 16, 6654, 3324, 1279, 4843, 21, 16, 8066, 10207, 282, 10882, 282, 6835, 17, 17553, 18, 832, 486, 6011, 42557, 4608, 9529, 289, 14535, 290, 29734, 4267, 32684, 477, 1728, 5174, 17916, 12456, 602, 3127, 983, 17958, 31195, 1034, 3430, 343, 18, 3747, 492, 10824, 1595, 3321, 43864, 13416, 9766, 16, 309, 5814, 5092, 6106, 16, 374, 8337, 343, 15155, 281, 25384, 2981, 353, 282, 21397, 4696, 49379, 13269, 1087, 348, 49122, 1437, 18, 40767, 1034, 3430, 343, 20988, 445, 24344, 502, 16, 374, 282, 2456, 602, 3127, 983, 48528, 13013, 16, 10050, 41330, 2241, 478, 789, 13857, 1532, 280, 470, 10618, 49537, 18, 5379, 12075, 341, 23271, 289, 22627, 12998, 3173, 11791, 1798, 25292, 6802, 477, 1963, 860, 4977, 93, 68, 87, 16, 26698, 41330, 18930, 478, 618, 12790, 470, 12975, 2502, 18746, 18, 478, 2176, 803, 8011, 13205, 24257, 19256, 35069, 18, 40765, 5751, 3328, 865, 847, 289, 17325, 2898, 309, 11460, 16, 453, 428, 329, 23271, 9307, 475, 1143, 2913, 891, 6152, 1791, 282, 6571, 16211, 16, 374, 1038, 3465, 341, 309, 25511, 910, 510, 2548, 49537, 18, 19591, 16442, 895, 953, 14736, 289, 281, 867, 16, 374, 309, 32619, 11056, 42745, 11583, 15429, 11673, 4103, 1385, 19510, 18, 1912, 3597, 1747, 35294, 3437, 1123, 564, 47749, 309, 4843, 8976, 5096, 16, 2511, 3597, 651, 11020, 564, 47749, 309, 4843, 6568, 5096, 16, 2418, 3597, 651, 14973, 1123, 564, 15067, 700, 309, 4843, 4234, 5096, 18, 5333, 2175, 16, 349, 1421, 2299, 44258, 840, 38996, 4843, 12770, 5096, 18, 478, 22975, 2145, 3043, 14817, 2961, 886, 968, 16, 2879, 953, 9467, 8087, 2745, 11402, 38305, 2959, 282, 2100, 13863, 22506, 309, 6841, 1505, 31294, 289, 590, 266, 1214, 14758, 282, 42080, 31294, 510, 24257, 289, 16775, 8379, 16, 510, 10050, 2502, 18746, 18, 510, 2667, 490, 622, 334, 1533 ]
[ 17, 35997, 4103, 2509, 3477, 11293, 2145, 726, 6973, 1154, 5259, 17, 1123, 564, 6892, 918, 861, 22568, 7664, 16621, 3217, 16, 374, 906, 282, 11872, 18, 478, 23698, 349, 5284, 44258, 639, 38996, 4843, 10257, 5096, 16, 374, 1038, 18749, 33462, 30652, 675, 289, 590, 3041, 4076, 282, 42080, 31294, 16, 3754, 1655, 35069, 24305, 4103, 1505, 8379, 289, 12620, 16, 1314, 651, 4103, 1505, 8379, 289, 13205, 24257, 910, 510, 12016, 12189, 18, 20409, 30506, 15861, 2241, 1149, 92, 26112, 3720, 13356, 377, 36357, 20427, 16, 374, 5874, 7307, 895, 3524, 14817, 519, 4843, 21, 16, 3161, 18, 478, 563, 2642, 4381, 45354, 8239, 309, 6266, 16, 374, 282, 10264, 808, 895, 953, 12998, 1957, 16414, 2095, 25292, 6802, 16, 367, 1038, 5003, 451, 16414, 9893, 16, 4266, 290, 970, 16, 374, 37009, 411, 16866, 20144, 21426, 840, 13168, 28046, 34508, 289, 41516, 536, 14620, 18, 8276, 309, 8011, 15841, 1530, 10263, 46509, 2899, 910, 510, 10050, 49537, 18, 1178, 29632, 564, 1791, 46509, 2899, 840, 14218, 506, 18583, 45810, 32226, 16, 502, 5874, 16442, 895, 424, 24700, 3230, 5741, 10597, 16, 26698, 13356, 377, 36357, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 23856, 1767, 19418, 29857, 13495, 10226, 20908, 41810, 13305, 16, 753, 32042, 722, 6342, 6699, 36797, 18, 22400, 9501, 19611, 16, 4233, 9314, 16520, 29715, 16, 6371, 282, 18982, 4044, 722, 6905, 4621, 16, 2588, 1355, 1501, 6885, 13389, 411, 37753, 18, 2112, 37728, 1715, 322, 4538, 1352, 334, 17, 21362, 11138, 1631, 3895, 322, 7714, 390, 1166, 309, 2468, 15532, 18, 999, 1826, 3359, 2271, 2582, 16, 374, 5726, 322, 40927, 18, 31224, 30, 2176, 793, 3137, 20879, 281, 15133, 4118, 5251, 5325, 38346, 706, 282, 870, 16741, 282, 29144, 1970, 1212, 3948, 23856, 1767, 18, 365, 11877, 16, 3703, 3597, 16, 5259, 17, 16981, 14999, 2016, 5579, 17, 14723, 9409, 19237, 33047, 6554, 282, 21945, 13676, 349, 5507, 11569, 309, 1360, 28646, 2383, 7463, 769, 10736, 69, 18, 985, 4848, 478, 46088, 18, 8381, 470, 18290, 282, 43771, 18617, 11925, 1624, 9501, 24442, 31443, 282, 4972, 10632, 23147, 918, 28041, 18, 403, 18328, 678, 19327, 11558, 309, 3692, 448, 30641, 16, 289, 722, 18806, 1453, 1292, 289, 5104, 7557, 14416, 309, 14823, 18, 26963, 20967, 309, 39181, 16, 17681, 1063, 32803, 16, 988, 3207, 7146, 5894, 697, 6215, 2016, 16, 785, 11614, 1500, 3560, 28646, 2383, 7463, 769, 10736, 69, 16, 349, 23010, 2024, 5739, 32781, 5834, 1135, 26931, 680, 28177, 18, 10129, 289, 5104, 24661, 11011, 22615, 9049, 16, 515, 10383, 3508, 28602, 18, 26963, 13032, 751, 282, 49226, 16, 1586, 32079, 2364, 1760, 1879, 289, 19011, 6229, 2509, 13305, 510, 10383, 28646, 2383, 7463, 3436, 17, 7745, 17642, 37753, 396, 23074, 1737, 309, 45228, 472, 412, 5101, 718, 11427, 282, 7343, 11035, 2852, 8974, 289, 9325, 18, 478, 822, 44152, 477, 1963, 17121, 1452, 718, 11427, 334, 472, 412, 5101, 2818, 11427, 16, 1188, 39951, 309, 11674, 12887, 1880, 322, 28291, 281, 18459, 289, 32096, 282, 1421, 4621, 18, 2112, 29342, 764, 282, 1421, 18, 2112, 1660, 505, 20635, 4110, 2355, 265, 42847, 289, 688, 630, 26595, 873, 910, 510, 33060, 4903, 873, 282, 36539, 18, 19994, 7245, 309, 5894, 329, 16979, 28646, 2383, 7463, 322, 5121, 16, 367, 282, 18982, 4044, 17681, 33780, 5894, 2355, 265, 20128, 14270, 29439, 1276, 343, 510, 3555, 45099, 4109, 281, 39901, 2509, 557, 2037, 309, 4822, 18, 967, 803, 1292, 289, 5104, 26495, 1027, 16, 428, 6442, 10786, 5792, 16, 17960, 12002, 16, 374, 481, 322, 697, 6215, 2016, 16, 367, 3555, 9914, 19753, 569, 2827, 1355, 356, 7336, 16, 289, 14416, 2915, 309, 722, 14823, 18, 2046, 282, 6031, 5121, 16, 374, 5920, 1545, 8487, 9914, 1717, 19237, 33047, 18, 12725, 334, 7519, 6710, 309, 1560, 16, 9286, 5208, 326, 16, 367, 1038, 35049, 1293, 19807, 16602, 334, 4822, 18, 19237, 668, 17167, 722, 3422, 1958, 341, 42265, 18, 365, 11084, 16, 3436, 3597, 16, 282, 12462, 6605, 37085, 10680, 16, 1692, 5103, 309, 2468, 25090, 13305, 16, 309, 1754, 32781, 25034, 2797, 3264, 1211, 1355, 356, 7336, 16, 2024, 10391, 1211, 14331, 6233, 18, 967, 803, 475, 2641, 6342, 6699, 32839, 282, 4829, 510, 975, 3525, 44967, 2283, 18, 824, 13460, 3761, 16, 1833, 1011, 20393, 505, 3525, 411, 3590, 322, 502, 11009, 20393, 16, 322, 502, 26531, 26495, 1027, 4109, 18, 999, 1826, 3359, 16, 428, 5121, 16, 1715, 322, 2548, 334, 17, 21362, 18, 365, 17905, 492, 17029, 2159, 3499, 510, 6606, 9391, 632, 809, 6992, 1428, 16, 367, 309, 1247, 23903, 16, 4723, 329, 1047, 8487, 282, 18982, 4044, 16, 12416, 17, 944, 8620, 3374, 1211, 16, 374, 334, 17, 21362, 322, 10219, 18, 967, 803, 10937, 6780, 975, 11576, 16, 753, 1833, 8055, 16, 374, 492, 322, 40927, 9286, 18, 6606, 9391, 3110, 16, 374, 9286, 11367, 15696, 49695, 273, 16, 515, 4437, 1507, 2710, 17, 299, 10621, 492, 322, 282, 4349, 18, 365, 6233, 6606, 9391, 8409, 45208, 16, 281, 3195, 2024, 2564, 1033, 282, 40137, 411, 10588, 1423, 10839, 18, 5043, 16, 360, 978, 12529, 6059, 282, 11916, 763, 5688, 5540, 322, 8471, 1033, 14123, 315, 18, 824, 7475, 1355, 356, 7336, 1624, 492, 4085, 5077, 282, 8995, 289, 37481, 29715, 16, 785, 3837, 16, 374, 15696, 49695, 273, 9414, 22424, 1086, 9286, 18, 817, 8181, 29561, 16, 515, 424, 20129, 18822, 276, 12842, 505, 1038, 5134, 3455, 282, 19025, 265, 16, 1011, 1660, 281, 3195, 12423, 11367, 9286, 289, 16, 8754, 525, 867, 575, 24191, 16, 12842, 6606, 312, 3583, 13680, 649, 3555, 282, 5894, 289, 15989, 349, 21929, 289, 17560, 18, 824, 13229, 10076, 18966, 11969, 1743, 334, 327, 18, 21, 422, 18, 27839, 11828, 2407, 478, 1140, 16103, 662, 861, 985, 6442, 478, 46088, 18, 8381, 470, 282, 11925, 16, 1888, 39092, 16, 3235, 6606, 312, 3583, 16, 1055, 1003, 18, 20833, 282, 10666, 16, 3436, 3597, 16, 1551, 21928, 15946, 975, 21743, 32174, 510, 36560, 20546, 3834, 381, 47043, 35330, 309, 1272, 5196, 16, 289, 3848, 1223, 16, 1551, 14001, 2640, 22599, 11925, 18, 824, 3761, 8243, 14824, 16, 6606, 9391, 3164, 282, 1175, 2364, 3437, 986, 289, 349, 481, 808, 1715, 13477, 322, 5931, 18, 2, 1, 87, 1456, 81, 2448, 30, 6207, 2260, 1162, 1326, 5321, 275, 3629, 14769, 13009, 1651, 382, 8009, 321, 6554, 11543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17, 35997, 4103, 2509, 3477, 11293, 2145, 726, 6973, 1154, 5259, 17, 1123, 564, 6892, 918, 861, 22568, 7664, 16621, 3217, 16, 374, 906, 282, 11872, 18, 478, 23698, 349, 5284, 44258, 639, 38996, 4843, 10257, 5096, 16, 374, 1038, 18749, 33462, 30652, 675, 289, 590, 3041, 4076, 282, 42080, 31294, 16, 3754, 1655, 35069, 24305, 4103, 1505, 8379, 289, 12620, 16, 1314, 651, 4103, 1505, 8379, 289, 13205, 24257, 910, 510, 12016, 12189, 18, 20409, 30506, 15861, 2241, 1149, 92, 26112, 3720, 13356, 377, 36357, 20427, 16, 374, 5874, 7307, 895, 3524, 14817, 519, 4843, 21, 16, 3161, 18, 478, 563, 2642, 4381, 45354, 8239, 309, 6266, 16, 374, 282, 10264, 808, 895, 953, 12998, 1957, 16414, 2095, 25292, 6802, 16, 367, 1038, 5003, 451, 16414, 9893, 16, 4266, 290, 970, 16, 374, 37009, 411, 16866, 20144, 21426, 840, 13168, 28046, 34508, 289, 41516, 536, 14620, 18, 8276, 309, 8011, 15841, 1530, 10263, 46509, 2899, 910, 510, 10050, 49537, 18, 1178, 29632, 564, 1791, 46509, 2899, 840, 14218, 506, 18583, 45810, 32226, 16, 502, 5874, 16442, 895, 424, 24700, 3230, 5741, 10597, 16, 26698, 13356, 377, 36357, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 23856, 1767, 19418, 29857, 13495, 10226, 20908, 41810, 13305, 16, 753, 32042, 722, 6342, 6699, 36797, 18, 22400, 9501, 19611, 16, 4233, 9314, 16520, 29715, 16, 6371, 282, 18982, 4044, 722, 6905, 4621, 16, 2588, 1355, 1501, 6885, 13389, 411, 37753, 18, 2112, 37728, 1715, 322, 4538, 1352, 334, 17, 21362, 11138, 1631, 3895, 322, 7714, 390, 1166, 309, 2468, 15532, 18, 999, 1826, 3359, 2271, 2582, 16, 374, 5726, 322, 40927, 18, 31224, 30, 2176, 793, 3137, 20879, 281, 15133, 4118, 5251, 5325, 38346, 706, 282, 870, 16741, 282, 29144, 1970, 1212, 3948, 23856, 1767, 18, 365, 11877, 16, 3703, 3597, 16, 5259, 17, 16981, 14999, 2016, 5579, 17, 14723, 9409, 19237, 33047, 6554, 282, 21945, 13676, 349, 5507, 11569, 309, 1360, 28646, 2383, 7463, 769, 10736, 69, 18, 985, 4848, 478, 46088, 18, 8381, 470, 18290, 282, 43771, 18617, 11925, 1624, 9501, 24442, 31443, 282, 4972, 10632, 23147, 918, 28041, 18, 403, 18328, 678, 19327, 11558, 309, 3692, 448, 30641, 16, 289, 722, 18806, 1453, 1292, 289, 5104, 7557, 14416, 309, 14823, 18, 26963, 20967, 309, 39181, 16, 17681, 1063, 32803, 16, 988, 3207, 7146, 5894, 697, 6215, 2016, 16, 785, 11614, 1500, 3560, 28646, 2383, 7463, 769, 10736, 69, 16, 349, 23010, 2024, 5739, 32781, 5834, 1135, 26931, 680, 28177, 18, 10129, 289, 5104, 24661, 11011, 22615, 9049, 16, 515, 10383, 3508, 28602, 18, 26963, 13032, 751, 282, 49226, 16, 1586, 32079, 2364, 1760, 1879, 289, 19011, 6229, 2509, 13305, 510, 10383, 28646, 2383, 7463, 3436, 17, 7745, 17642, 37753, 396, 23074, 1737, 309, 45228, 472, 412, 5101, 718, 11427, 282, 7343, 11035, 2852, 8974, 289, 9325, 18, 478, 822, 44152, 477, 1963, 17121, 1452, 718, 11427, 334, 472, 412, 5101, 2818, 11427, 16, 1188, 39951, 309, 11674, 12887, 1880, 322, 28291, 281, 18459, 289, 32096, 282, 1421, 4621, 18, 2112, 29342, 764, 282, 1421, 18, 2112, 1660, 505, 20635, 4110, 2355, 265, 42847, 289, 688, 630, 26595, 873, 910, 510, 33060, 4903, 873, 282, 36539, 18, 19994, 7245, 309, 5894, 329, 16979, 28646, 2383, 7463, 322, 5121, 16, 367, 282, 18982, 4044, 17681, 33780, 5894, 2355, 265, 20128, 14270, 29439, 1276, 343, 510, 3555, 45099, 4109, 281, 39901, 2509, 557, 2037, 309, 4822, 18, 967, 803, 1292, 289, 5104, 26495, 1027, 16, 428, 6442, 10786, 5792, 16, 17960, 12002, 16, 374, 481, 322, 697, 6215, 2016, 16, 367, 3555, 9914, 19753, 569, 2827, 1355, 356, 7336, 16, 289, 14416, 2915, 309, 722, 14823, 18, 2046, 282, 6031, 5121, 16, 374, 5920, 1545, 8487, 9914, 1717, 19237, 33047, 18, 12725, 334, 7519, 6710, 309, 1560, 16, 9286, 5208, 326, 16, 367, 1038, 35049, 1293, 19807, 16602, 334, 4822, 18, 19237, 668, 17167, 722, 3422, 1958, 341, 42265, 18, 365, 11084, 16, 3436, 3597, 16, 282, 12462, 6605, 37085, 10680, 16, 1692, 5103, 309, 2468, 25090, 13305, 16, 309, 1754, 32781, 25034, 2797, 3264, 1211, 1355, 356, 7336, 16, 2024, 10391, 1211, 14331, 6233, 18, 967, 803, 475, 2641, 6342, 6699, 32839, 282, 4829, 510, 975, 3525, 44967, 2283, 18, 824, 13460, 3761, 16, 1833, 1011, 20393, 505, 3525, 411, 3590, 322, 502, 11009, 20393, 16, 322, 502, 26531, 26495, 1027, 4109, 18, 999, 1826, 3359, 16, 428, 5121, 16, 1715, 322, 2548, 334, 17, 21362, 18, 365, 17905, 492, 17029, 2159, 3499, 510, 6606, 9391, 632, 809, 6992, 1428, 16, 367, 309, 1247, 23903, 16, 4723, 329, 1047, 8487, 282, 18982, 4044, 16, 12416, 17, 944, 8620, 3374, 1211, 16, 374, 334, 17, 21362, 322, 10219, 18, 967, 803, 10937, 6780, 975, 11576, 16, 753, 1833, 8055, 16, 374, 492, 322, 40927, 9286, 18, 6606, 9391, 3110, 16, 374, 9286, 11367, 15696, 49695, 273, 16, 515, 4437, 1507, 2710, 17, 299, 10621, 492, 322, 282, 4349, 18, 365, 6233, 6606, 9391, 8409, 45208, 16, 281, 3195, 2024, 2564, 1033, 282, 40137, 411, 10588, 1423, 10839, 18, 5043, 16, 360, 978, 12529, 6059, 282, 11916, 763, 5688, 5540, 322, 8471, 1033, 14123, 315, 18, 824, 7475, 1355, 356, 7336, 1624, 492, 4085, 5077, 282, 8995, 289, 37481, 29715, 16, 785, 3837, 16, 374, 15696, 49695, 273, 9414, 22424, 1086, 9286, 18, 817, 8181, 29561, 16, 515, 424, 20129, 18822, 276, 12842, 505, 1038, 5134, 3455, 282, 19025, 265, 16, 1011, 1660, 281, 3195, 12423, 11367, 9286, 289, 16, 8754, 525, 867, 575, 24191, 16, 12842, 6606, 312, 3583, 13680, 649, 3555, 282, 5894, 289, 15989, 349, 21929, 289, 17560, 18, 824, 13229, 10076, 18966, 11969, 1743, 334, 327, 18, 21, 422, 18, 27839, 11828, 2407, 478, 1140, 16103, 662, 861, 985, 6442, 478, 46088, 18, 8381, 470, 282, 11925, 16, 1888, 39092, 16, 3235, 6606, 312, 3583, 16, 1055, 1003, 18, 20833, 282, 10666, 16, 3436, 3597, 16, 1551, 21928, 15946, 975, 21743, 32174, 510, 36560, 20546, 3834, 381, 47043, 35330, 309, 1272, 5196, 16, 289, 3848, 1223, 16, 1551, 14001, 2640, 22599, 11925, 18, 824, 3761, 8243, 14824, 16, 6606, 9391, 3164, 282, 1175, 2364, 3437, 986, 289, 349, 481, 808, 1715, 13477, 322, 5931, 18, 2, 1, 87, 1456, 81, 2448, 30, 6207, 2260, 1162, 1326, 5321, 275, 3629, 14769, 13009, 1651, 382, 8009, 321, 6554, 11543 ]
[ 1617, 3402, 309, 10296, 22104, 457, 48577, 18, 28616, 6881, 16, 374, 40916, 2826, 46119, 47878, 26503, 39654, 2409, 16, 515, 294, 2733, 14784, 1116, 26701, 20054, 277, 745, 764, 322, 6354, 18, 9920, 22490, 9868, 12360, 1651, 382, 334, 21592, 272, 7087, 1954, 282, 6335, 13354, 21729, 15174, 322, 27349, 14056, 18, 31224, 30, 20659, 3629, 289, 28794, 15474, 478, 12833, 12928, 470, 1651, 382, 8009, 321, 895, 7625, 1507, 15552, 16249, 282, 11043, 394, 457, 48577, 16, 5630, 1639, 726, 38245, 12911, 18, 8859, 678, 322, 8970, 411, 3215, 14617, 342, 1709, 7113, 41541, 309, 9250, 3059, 30, 2496, 1129, 16, 3057, 16, 10700, 17, 37323, 1310, 266, 289, 935, 12419, 1152, 18, 49849, 6517, 4633, 309, 4055, 3802, 18, 25582, 12101, 26503, 1821, 14969, 6140, 727, 5551, 19292, 309, 29734, 2497, 11031, 16, 753, 9078, 18027, 21385, 18, 39893, 11268, 9478, 1055, 283, 1309, 411, 17, 431, 32671, 13811, 282, 23335, 8043, 11329, 363, 409, 2244, 16, 988, 492, 846, 9197, 360, 24032, 31007, 294, 7139, 4295, 289, 8565, 345, 1876, 18, 1651, 382, 8009, 321, 16, 329, 14921, 3626, 19131, 7263, 19751, 16, 6605, 309, 1405, 282, 17357, 1045, 309, 2923, 12765, 2665, 289, 37510, 282, 13459, 554, 281, 18716, 764, 282, 27354, 7353, 18, 12280, 23697, 16, 374, 739, 17990, 34839, 14872, 282, 32164, 816, 16, 29, 9, 4186, 289, 481, 43660, 3407, 334, 21811, 42434, 46315, 282, 4008, 18, 3739, 282, 2702, 1382, 547, 7353, 678, 2742, 7284, 506, 541, 27672, 5473, 17150, 1532, 16, 367, 5747, 30342, 332, 6786, 20154, 4889, 478, 12833, 12928, 861, 11824, 904, 10287, 434, 26503, 39654, 837, 4247, 3147, 28540, 14127, 622, 30, 2496, 722, 15474, 2388, 9879, 297, 1952, 16, 428, 478, 28211, 1527, 5636, 282, 6648, 470, 289, 478, 1009, 945, 448, 603, 9735, 27459, 861, 7758, 1188, 867, 16, 428, 12676, 42820, 46676, 16, 678, 10473, 5371, 506, 282, 491, 3420, 32338, 292, 18, 2949, 924, 16, 7263, 19751, 17, 36578, 321, 10473, 29722, 43467, 6905, 3366, 22064, 334, 20311, 28048, 9302, 3536, 289, 30982, 282, 1750, 1360, 9764, 478, 6781, 2074, 25125, 306, 282, 457, 48577, 861, 6831, 1888, 27803, 432, 11841, 883, 16, 24185, 1378, 282, 7337, 33293, 44804, 24599, 16, 1038, 478, 267, 307, 3173, 17411, 309, 22754, 861, 44479, 30637, 20449, 14368, 428, 478, 19572, 3795, 1287, 1595, 727, 5551, 309, 8009, 321, 861, 365, 26396, 3081, 617, 1634, 12917, 8009, 321, 35708, 28792, 17470, 309, 10249, 16, 309, 1754, 722, 13421, 281, 41462, 5056, 14423, 16, 515, 282, 16776, 3868, 2154, 281, 23705, 478, 10430, 382, 8009, 321, 282, 11043, 394, 457, 48577, 2801, 861, 36017, 9622, 1340, 1055, 11524, 12744, 13363, 16171, 20608, 18548, 309, 10296, 16, 2686, 15833, 16, 374, 360, 22104, 9300, 347, 40916, 2826, 29372, 18, 2112, 13125, 542, 282, 4479, 1045, 505, 5511, 6418, 322, 309, 15040, 7573, 1165, 16, 367, 282, 36204, 6594, 7331, 536, 670, 424, 27578, 17203, 21939, 18, 7287, 344, 1293, 445, 3711, 359, 20272, 282, 49538, 5862, 5482, 16, 753, 11033, 360, 45846, 25995, 16, 2686, 17666, 281, 965, 8341, 349, 8125, 24316, 2001, 492, 9473, 20075, 18, 3557, 322, 2619, 282, 3998, 779, 492, 19292, 309, 29734, 2497, 11031, 289, 4445, 13638, 541, 8465, 282, 14016, 18, 478, 1358, 9763, 374, 9837, 25835, 510, 481, 1139, 22843, 485, 16, 289, 10899, 16, 374, 505, 14853, 266, 1085, 17, 299, 1033, 29338, 451, 910, 510, 10662, 11750, 13097, 457, 48577, 289, 32464, 16937, 769, 9222, 2034, 27148, 24954, 410, 16418, 17307, 24229, 269, 18, 2263, 24229, 269, 349, 1326, 5321, 275, 18321, 8009, 321, 30429, 322, 9733, 16, 515, 722, 4786, 8434, 11792, 16, 374, 411, 6632, 5735, 560, 11981, 30747, 26503, 1821, 14969, 18, 4988, 29113, 343, 282, 10249, 38515, 12647, 43746, 17198, 28348, 8009, 321, 18, 478, 563, 1148, 1287, 1595, 3260, 289, 1680, 1208, 927, 2500, 5638, 617, 282, 13354, 16, 367, 1038, 2500, 9224, 6239, 4271, 510, 18519, 8009, 321, 19209, 48737, 1624, 1176, 411, 722, 28654, 18, 4824, 411, 1033, 24360, 1378, 21385, 1833, 575, 15732, 294, 48778, 7546, 16, 7206, 12369, 16, 374, 678, 10500, 290, 12996, 9207, 29094, 416, 5324, 18, 4320, 8264, 322, 41655, 16, 8009, 321, 687, 19354, 2712, 1423, 9318, 334, 3989, 3133, 298, 1035, 335, 22697, 7546, 10539, 3281, 18, 12280, 8097, 16, 374, 8009, 321, 322, 7732, 13036, 28048, 32231, 12661, 16, 1586, 6554, 3836, 1423, 42896, 33914, 541, 3281, 10035, 20700, 18, 9114, 8689, 21974, 2262, 7444, 6556, 411, 2145, 18, 365, 4479, 1045, 25254, 1326, 5321, 275, 3629, 37962, 353, 27400, 6408, 267, 11638, 664, 412, 320, 18621, 309, 30044, 1755, 288, 16249, 282, 21540, 766, 360, 17240, 3183, 9153, 2334, 281, 12797, 2610, 17, 298, 2731, 1310, 3347, 16722, 304, 6873, 26100, 16, 16150, 8156, 14818, 1326, 547, 1225, 16185, 18309, 312, 49331, 354, 18, 1787, 3320, 1360, 14016, 27400, 6408, 267, 935, 309, 10501, 12320, 434, 9622, 22393, 13103, 18357, 2334, 365, 6408, 669, 16, 1029, 16, 3754, 16, 4419, 5931, 281, 6574, 2389, 360, 7340, 712, 18, 27400, 6408, 267, 1293, 445, 39740, 21755, 309, 10910, 448, 744, 4021, 16, 2686, 492, 8502, 445, 36782, 18, 365, 3198, 16, 13036, 25791, 906, 29788, 16, 374, 329, 722, 21755, 1139, 478, 1344, 28781, 910, 753, 281, 1420, 1669, 15839, 18, 403, 15695, 16, 2887, 6873, 3850, 4434, 2853, 282, 970, 16, 374, 492, 23251, 24544, 25820, 1701, 17, 1225, 645, 366, 18, 2046, 481, 322, 40552, 975, 20850, 30044, 1755, 288, 289, 10353, 8969, 349, 1807, 34428, 3732, 10404, 12797, 1347, 360, 3183, 9153, 12841, 18, 14078, 575, 27400, 6408, 267, 24989, 16, 374, 9416, 8087, 282, 13198, 10035, 6829, 289, 10180, 3391, 21680, 2155, 282, 3571, 426, 30, 478, 16464, 1548, 16, 374, 417, 322, 24554, 22458, 282, 697, 9815, 290, 970, 16, 1851, 2879, 953, 4901, 13713, 1372, 3308, 3708, 16, 5792, 289, 25568, 47032, 42103, 2694, 29147, 5961, 14561, 8217, 349, 322, 693, 11247, 4612, 1350, 24364, 670, 6242, 291, 662, 910, 510, 9321, 27400, 6408, 267, 18, 1253, 1038, 4255, 5656, 309, 502, 16, 374, 43405, 6525, 322, 9253, 17338, 309, 30183, 4443, 16, 3176, 722, 21680, 3056, 18, 365, 8384, 349, 10404, 13526, 832, 342, 700, 36708, 289, 8148, 25254, 28048, 333, 1198, 507, 421, 982, 421, 746, 607, 18, 365, 1360, 27803, 416, 14016, 678, 39178 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1617, 3402, 309, 10296, 22104, 457, 48577, 18, 28616, 6881, 16, 374, 40916, 2826, 46119, 47878, 26503, 39654, 2409, 16, 515, 294, 2733, 14784, 1116, 26701, 20054, 277, 745, 764, 322, 6354, 18, 9920, 22490, 9868, 12360, 1651, 382, 334, 21592, 272, 7087, 1954, 282, 6335, 13354, 21729, 15174, 322, 27349, 14056, 18, 31224, 30, 20659, 3629, 289, 28794, 15474, 478, 12833, 12928, 470, 1651, 382, 8009, 321, 895, 7625, 1507, 15552, 16249, 282, 11043, 394, 457, 48577, 16, 5630, 1639, 726, 38245, 12911, 18, 8859, 678, 322, 8970, 411, 3215, 14617, 342, 1709, 7113, 41541, 309, 9250, 3059, 30, 2496, 1129, 16, 3057, 16, 10700, 17, 37323, 1310, 266, 289, 935, 12419, 1152, 18, 49849, 6517, 4633, 309, 4055, 3802, 18, 25582, 12101, 26503, 1821, 14969, 6140, 727, 5551, 19292, 309, 29734, 2497, 11031, 16, 753, 9078, 18027, 21385, 18, 39893, 11268, 9478, 1055, 283, 1309, 411, 17, 431, 32671, 13811, 282, 23335, 8043, 11329, 363, 409, 2244, 16, 988, 492, 846, 9197, 360, 24032, 31007, 294, 7139, 4295, 289, 8565, 345, 1876, 18, 1651, 382, 8009, 321, 16, 329, 14921, 3626, 19131, 7263, 19751, 16, 6605, 309, 1405, 282, 17357, 1045, 309, 2923, 12765, 2665, 289, 37510, 282, 13459, 554, 281, 18716, 764, 282, 27354, 7353, 18, 12280, 23697, 16, 374, 739, 17990, 34839, 14872, 282, 32164, 816, 16, 29, 9, 4186, 289, 481, 43660, 3407, 334, 21811, 42434, 46315, 282, 4008, 18, 3739, 282, 2702, 1382, 547, 7353, 678, 2742, 7284, 506, 541, 27672, 5473, 17150, 1532, 16, 367, 5747, 30342, 332, 6786, 20154, 4889, 478, 12833, 12928, 861, 11824, 904, 10287, 434, 26503, 39654, 837, 4247, 3147, 28540, 14127, 622, 30, 2496, 722, 15474, 2388, 9879, 297, 1952, 16, 428, 478, 28211, 1527, 5636, 282, 6648, 470, 289, 478, 1009, 945, 448, 603, 9735, 27459, 861, 7758, 1188, 867, 16, 428, 12676, 42820, 46676, 16, 678, 10473, 5371, 506, 282, 491, 3420, 32338, 292, 18, 2949, 924, 16, 7263, 19751, 17, 36578, 321, 10473, 29722, 43467, 6905, 3366, 22064, 334, 20311, 28048, 9302, 3536, 289, 30982, 282, 1750, 1360, 9764, 478, 6781, 2074, 25125, 306, 282, 457, 48577, 861, 6831, 1888, 27803, 432, 11841, 883, 16, 24185, 1378, 282, 7337, 33293, 44804, 24599, 16, 1038, 478, 267, 307, 3173, 17411, 309, 22754, 861, 44479, 30637, 20449, 14368, 428, 478, 19572, 3795, 1287, 1595, 727, 5551, 309, 8009, 321, 861, 365, 26396, 3081, 617, 1634, 12917, 8009, 321, 35708, 28792, 17470, 309, 10249, 16, 309, 1754, 722, 13421, 281, 41462, 5056, 14423, 16, 515, 282, 16776, 3868, 2154, 281, 23705, 478, 10430, 382, 8009, 321, 282, 11043, 394, 457, 48577, 2801, 861, 36017, 9622, 1340, 1055, 11524, 12744, 13363, 16171, 20608, 18548, 309, 10296, 16, 2686, 15833, 16, 374, 360, 22104, 9300, 347, 40916, 2826, 29372, 18, 2112, 13125, 542, 282, 4479, 1045, 505, 5511, 6418, 322, 309, 15040, 7573, 1165, 16, 367, 282, 36204, 6594, 7331, 536, 670, 424, 27578, 17203, 21939, 18, 7287, 344, 1293, 445, 3711, 359, 20272, 282, 49538, 5862, 5482, 16, 753, 11033, 360, 45846, 25995, 16, 2686, 17666, 281, 965, 8341, 349, 8125, 24316, 2001, 492, 9473, 20075, 18, 3557, 322, 2619, 282, 3998, 779, 492, 19292, 309, 29734, 2497, 11031, 289, 4445, 13638, 541, 8465, 282, 14016, 18, 478, 1358, 9763, 374, 9837, 25835, 510, 481, 1139, 22843, 485, 16, 289, 10899, 16, 374, 505, 14853, 266, 1085, 17, 299, 1033, 29338, 451, 910, 510, 10662, 11750, 13097, 457, 48577, 289, 32464, 16937, 769, 9222, 2034, 27148, 24954, 410, 16418, 17307, 24229, 269, 18, 2263, 24229, 269, 349, 1326, 5321, 275, 18321, 8009, 321, 30429, 322, 9733, 16, 515, 722, 4786, 8434, 11792, 16, 374, 411, 6632, 5735, 560, 11981, 30747, 26503, 1821, 14969, 18, 4988, 29113, 343, 282, 10249, 38515, 12647, 43746, 17198, 28348, 8009, 321, 18, 478, 563, 1148, 1287, 1595, 3260, 289, 1680, 1208, 927, 2500, 5638, 617, 282, 13354, 16, 367, 1038, 2500, 9224, 6239, 4271, 510, 18519, 8009, 321, 19209, 48737, 1624, 1176, 411, 722, 28654, 18, 4824, 411, 1033, 24360, 1378, 21385, 1833, 575, 15732, 294, 48778, 7546, 16, 7206, 12369, 16, 374, 678, 10500, 290, 12996, 9207, 29094, 416, 5324, 18, 4320, 8264, 322, 41655, 16, 8009, 321, 687, 19354, 2712, 1423, 9318, 334, 3989, 3133, 298, 1035, 335, 22697, 7546, 10539, 3281, 18, 12280, 8097, 16, 374, 8009, 321, 322, 7732, 13036, 28048, 32231, 12661, 16, 1586, 6554, 3836, 1423, 42896, 33914, 541, 3281, 10035, 20700, 18, 9114, 8689, 21974, 2262, 7444, 6556, 411, 2145, 18, 365, 4479, 1045, 25254, 1326, 5321, 275, 3629, 37962, 353, 27400, 6408, 267, 11638, 664, 412, 320, 18621, 309, 30044, 1755, 288, 16249, 282, 21540, 766, 360, 17240, 3183, 9153, 2334, 281, 12797, 2610, 17, 298, 2731, 1310, 3347, 16722, 304, 6873, 26100, 16, 16150, 8156, 14818, 1326, 547, 1225, 16185, 18309, 312, 49331, 354, 18, 1787, 3320, 1360, 14016, 27400, 6408, 267, 935, 309, 10501, 12320, 434, 9622, 22393, 13103, 18357, 2334, 365, 6408, 669, 16, 1029, 16, 3754, 16, 4419, 5931, 281, 6574, 2389, 360, 7340, 712, 18, 27400, 6408, 267, 1293, 445, 39740, 21755, 309, 10910, 448, 744, 4021, 16, 2686, 492, 8502, 445, 36782, 18, 365, 3198, 16, 13036, 25791, 906, 29788, 16, 374, 329, 722, 21755, 1139, 478, 1344, 28781, 910, 753, 281, 1420, 1669, 15839, 18, 403, 15695, 16, 2887, 6873, 3850, 4434, 2853, 282, 970, 16, 374, 492, 23251, 24544, 25820, 1701, 17, 1225, 645, 366, 18, 2046, 481, 322, 40552, 975, 20850, 30044, 1755, 288, 289, 10353, 8969, 349, 1807, 34428, 3732, 10404, 12797, 1347, 360, 3183, 9153, 12841, 18, 14078, 575, 27400, 6408, 267, 24989, 16, 374, 9416, 8087, 282, 13198, 10035, 6829, 289, 10180, 3391, 21680, 2155, 282, 3571, 426, 30, 478, 16464, 1548, 16, 374, 417, 322, 24554, 22458, 282, 697, 9815, 290, 970, 16, 1851, 2879, 953, 4901, 13713, 1372, 3308, 3708, 16, 5792, 289, 25568, 47032, 42103, 2694, 29147, 5961, 14561, 8217, 349, 322, 693, 11247, 4612, 1350, 24364, 670, 6242, 291, 662, 910, 510, 9321, 27400, 6408, 267, 18, 1253, 1038, 4255, 5656, 309, 502, 16, 374, 43405, 6525, 322, 9253, 17338, 309, 30183, 4443, 16, 3176, 722, 21680, 3056, 18, 365, 8384, 349, 10404, 13526, 832, 342, 700, 36708, 289, 8148, 25254, 28048, 333, 1198, 507, 421, 982, 421, 746, 607, 18, 365, 1360, 27803, 416, 14016, 678, 39178 ]
[ 2159, 4675, 3499, 510, 12857, 5735, 23381, 686, 262, 510, 289, 5019, 5721, 977, 360, 16062, 1275, 424, 19167, 3924, 478, 11233, 7908, 17132, 861, 1598, 818, 1155, 538, 7549, 5768, 40076, 322, 33598, 30, 678, 7356, 687, 430, 9, 12607, 18, 3739, 3255, 282, 8311, 1045, 282, 15689, 680, 34042, 309, 3059, 6677, 34232, 11638, 5134, 3455, 289, 21412, 14047, 7191, 637, 35896, 16, 24484, 424, 32699, 304, 14047, 9699, 312, 18, 49849, 898, 3696, 2626, 282, 2630, 281, 7963, 7237, 1218, 36918, 434, 13526, 6211, 274, 7120, 23437, 18, 7704, 4156, 282, 6031, 30682, 2107, 34393, 9778, 36033, 18422, 39544, 321, 33059, 6157, 18, 35896, 11916, 1154, 5901, 1360, 27803, 416, 7811, 282, 11441, 345, 4267, 28048, 9302, 482, 424, 7848, 478, 22709, 607, 16, 14047, 16, 1046, 607, 861, 439, 8537, 668, 2689, 2127, 6632, 314, 34075, 9186, 554, 40237, 363, 7603, 628, 363, 16, 46174, 424, 10325, 9186, 700, 11785, 1476, 267, 1624, 1372, 282, 28048, 265, 554, 12661, 18092, 282, 15552, 1977, 2279, 349, 42305, 3018, 18, 7249, 309, 7365, 668, 4119, 282, 2537, 37044, 28048, 9302, 482, 478, 1009, 1392, 368, 525, 528, 2362, 343, 470, 17018, 779, 16, 11785, 1476, 267, 18087, 28286, 289, 5747, 18585, 282, 45780, 5006, 16, 374, 722, 42071, 7284, 506, 282, 28048, 9302, 3462, 40934, 289, 935, 8754, 414, 11214, 18, 365, 10423, 1045, 678, 1974, 281, 43805, 469, 339, 7989, 285, 1082, 2742, 7556, 11203, 1279, 28048, 32231, 12661, 289, 37999, 309, 6612, 6585, 282, 23340, 34766, 16, 35019, 1335, 8540, 18, 43884, 9916, 289, 40074, 18357, 1231, 4048, 42315, 2548, 16, 374, 1800, 3182, 1326, 5321, 46408, 16, 1196, 3920, 965, 367, 12384, 16, 726, 322, 453, 478, 1386, 296, 545, 3788, 470, 2689, 1880, 29694, 6106, 16, 428, 3255, 18, 478, 6039, 870, 9521, 14351, 3992, 289, 21978, 1936, 311, 649, 382, 33112, 1423, 19187, 289, 322, 42721, 478, 14845, 3426, 2294, 910, 510, 4601, 1788, 492, 18, 365, 20144, 12384, 1320, 16, 9956, 334, 4547, 16, 1143, 1003, 2223, 1326, 5321, 275, 3629, 277, 16, 1830, 678, 17, 299, 5382, 428, 8396, 3441, 16, 1146, 743, 12763, 31441, 9792, 329, 21385, 18, 640, 7266, 4335, 986, 33373, 32030, 11919, 906, 32073, 13036, 21985, 24598, 541, 12928, 459, 15969, 20595, 3327, 16, 24484, 424, 44339, 4118, 32699, 304, 688, 1447, 19920, 18, 2112, 28827, 20700, 282, 28048, 32231, 12661, 20595, 3327, 906, 13125, 324, 282, 12760, 9893, 282, 15381, 1045, 360, 11917, 2086, 9472, 1809, 4623, 18, 24114, 411, 722, 15774, 309, 13314, 20691, 639, 7059, 21986, 282, 9224, 1924, 3361, 281, 32441, 1703, 18875, 2610, 14936, 347, 4019, 38324, 355, 547, 16, 282, 1750, 827, 492, 3219, 10562, 9573, 16336, 8424, 9085, 5848, 18071, 309, 8881, 282, 4008, 42647, 6617, 18, 1253, 906, 15705, 798, 16, 282, 8311, 1045, 38324, 5944, 685, 3819, 297, 1578, 282, 3198, 13198, 8312, 6053, 16, 322, 6341, 6746, 7733, 2231, 10004, 304, 9085, 18, 6831, 5781, 1326, 5321, 46408, 23603, 670, 12971, 26721, 322, 639, 16, 1830, 22822, 478, 9302, 3536, 541, 12928, 470, 10073, 14062, 9792, 309, 803, 24682, 456, 18, 365, 8311, 1045, 282, 34007, 14016, 13526, 14683, 6274, 5134, 3455, 20065, 1326, 547, 1225, 4752, 4210, 33702, 307, 20128, 1624, 2686, 3275, 2135, 29617, 281, 6244, 6726, 34118, 303, 770, 13995, 321, 322, 22151, 975, 13898, 1756, 26503, 39654, 837, 16, 289, 492, 11368, 1423, 37917, 18, 365, 7520, 17, 277, 33702, 307, 20128, 1038, 35150, 13270, 289, 309, 10296, 282, 39309, 18, 28462, 25835, 20964, 820, 3720, 5035, 680, 1624, 1029, 282, 4675, 808, 23414, 9380, 339, 27672, 6507, 7541, 478, 789, 7489, 1180, 910, 5273, 16, 374, 282, 1175, 16555, 4011, 1326, 5321, 275, 7935, 7006, 520, 840, 9625, 35069, 30, 478, 2176, 21290, 481, 15068, 5511, 1223, 10047, 47835, 16, 329, 813, 575, 8770, 1033, 14355, 6011, 289, 8698, 25184, 16605, 2388, 1749, 16, 428, 9880, 1970, 861, 824, 4734, 5035, 718, 16, 9099, 47883, 1698, 4417, 10645, 16, 827, 478, 24867, 2004, 1886, 282, 15958, 11593, 478, 672, 947, 5902, 10201, 16, 374, 282, 12760, 27573, 1876, 6886, 8030, 16, 828, 282, 9774, 668, 5494, 861, 2, 1, 87, 1456, 81, 2448, 30, 20710, 2736, 309, 504, 2275, 13496, 43067, 322, 14306, 590, 612, 512, 282, 31869, 9445, 4513, 289, 322, 7730, 46263, 23082, 16, 2686, 334, 17, 29413, 9327, 1247, 381, 20926, 18496, 24867, 10944, 18, 31224, 30, 17810, 1173, 1999, 3359, 46608, 7569, 309, 2059, 411, 21015, 973, 282, 1175, 504, 2275, 13496, 43067, 16, 2597, 39311, 1779, 7885, 5413, 282, 9937, 16, 6088, 2834, 5326, 31313, 10493, 18, 478, 4408, 1875, 4304, 27818, 3159, 15970, 17, 38166, 718, 472, 28478, 49419, 23903, 26238, 9980, 14505, 1489, 282, 40133, 13636, 289, 8922, 49336, 7297, 18, 31574, 3050, 18496, 8966, 2749, 289, 415, 11169, 29776, 7393, 9382, 3789, 910, 510, 6442, 282, 3569, 25258, 18, 824, 17234, 35556, 18535, 27412, 1027, 43067, 4179, 14189, 510, 1223, 2706, 18705, 266, 16, 371, 970, 374, 18535, 3025, 18496, 42965, 29776, 510, 2261, 2562, 18705, 266, 18, 1787, 24507, 30, 27412, 1712, 360, 15532, 282, 11872, 6705, 779, 385, 525, 315, 17, 1464, 897, 286, 1162, 43067, 15359, 455, 42004, 24512, 282, 15593, 646, 18705, 266, 18, 2949, 924, 16, 282, 2083, 15532, 504, 2275, 31756, 43067, 45269, 28878, 1472, 282, 3610, 9, 360, 42004, 16411, 18, 478, 20710, 2736, 11540, 519, 12850, 1672, 26556, 20661, 22509, 18, 832, 1506, 9328, 14051, 7737, 2156, 40825, 47656, 7020, 16, 309, 15956, 1904, 1531, 1004, 281, 781, 1063, 41489, 16, 2391, 590, 612, 512, 282, 27118, 9445, 4513, 17010, 322, 4243, 910, 510, 48922, 5037, 23061, 49336, 3281, 4210, 28995, 375, 18, 2949, 924, 16, 19245, 322, 6666, 309, 16504, 416, 19907, 404, 16, 428, 16, 3057, 16, 385, 1464, 43067, 18, 640, 33794, 5906, 43067, 10302, 294, 9044, 20216, 289, 19008, 16, 18535, 3453, 22128, 411, 1129, 322, 17045, 5259, 18705, 266, 18, 824, 3163, 3781, 17, 38402, 478, 10520, 22214, 331, 470, 1624, 282, 9937, 282, 7135, 454, 49033, 4786, 16, 1586, 2879, 5095, 10909, 13312, 360, 15532, 289, 16122, 24724, 28261, 15974, 7020, 18, 4320, 575, 13120, 16, 374, 19082, 3619, 687, 5642, 451, 3049, 7020, 289, 491, 19066, 1225, 12193, 354, 18, 2876, 7658, 21356, 478, 10520, 22214, 331, 470, 322, 15018, 305, 16, 867, 1033, 374, 19066, 1225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2159, 4675, 3499, 510, 12857, 5735, 23381, 686, 262, 510, 289, 5019, 5721, 977, 360, 16062, 1275, 424, 19167, 3924, 478, 11233, 7908, 17132, 861, 1598, 818, 1155, 538, 7549, 5768, 40076, 322, 33598, 30, 678, 7356, 687, 430, 9, 12607, 18, 3739, 3255, 282, 8311, 1045, 282, 15689, 680, 34042, 309, 3059, 6677, 34232, 11638, 5134, 3455, 289, 21412, 14047, 7191, 637, 35896, 16, 24484, 424, 32699, 304, 14047, 9699, 312, 18, 49849, 898, 3696, 2626, 282, 2630, 281, 7963, 7237, 1218, 36918, 434, 13526, 6211, 274, 7120, 23437, 18, 7704, 4156, 282, 6031, 30682, 2107, 34393, 9778, 36033, 18422, 39544, 321, 33059, 6157, 18, 35896, 11916, 1154, 5901, 1360, 27803, 416, 7811, 282, 11441, 345, 4267, 28048, 9302, 482, 424, 7848, 478, 22709, 607, 16, 14047, 16, 1046, 607, 861, 439, 8537, 668, 2689, 2127, 6632, 314, 34075, 9186, 554, 40237, 363, 7603, 628, 363, 16, 46174, 424, 10325, 9186, 700, 11785, 1476, 267, 1624, 1372, 282, 28048, 265, 554, 12661, 18092, 282, 15552, 1977, 2279, 349, 42305, 3018, 18, 7249, 309, 7365, 668, 4119, 282, 2537, 37044, 28048, 9302, 482, 478, 1009, 1392, 368, 525, 528, 2362, 343, 470, 17018, 779, 16, 11785, 1476, 267, 18087, 28286, 289, 5747, 18585, 282, 45780, 5006, 16, 374, 722, 42071, 7284, 506, 282, 28048, 9302, 3462, 40934, 289, 935, 8754, 414, 11214, 18, 365, 10423, 1045, 678, 1974, 281, 43805, 469, 339, 7989, 285, 1082, 2742, 7556, 11203, 1279, 28048, 32231, 12661, 289, 37999, 309, 6612, 6585, 282, 23340, 34766, 16, 35019, 1335, 8540, 18, 43884, 9916, 289, 40074, 18357, 1231, 4048, 42315, 2548, 16, 374, 1800, 3182, 1326, 5321, 46408, 16, 1196, 3920, 965, 367, 12384, 16, 726, 322, 453, 478, 1386, 296, 545, 3788, 470, 2689, 1880, 29694, 6106, 16, 428, 3255, 18, 478, 6039, 870, 9521, 14351, 3992, 289, 21978, 1936, 311, 649, 382, 33112, 1423, 19187, 289, 322, 42721, 478, 14845, 3426, 2294, 910, 510, 4601, 1788, 492, 18, 365, 20144, 12384, 1320, 16, 9956, 334, 4547, 16, 1143, 1003, 2223, 1326, 5321, 275, 3629, 277, 16, 1830, 678, 17, 299, 5382, 428, 8396, 3441, 16, 1146, 743, 12763, 31441, 9792, 329, 21385, 18, 640, 7266, 4335, 986, 33373, 32030, 11919, 906, 32073, 13036, 21985, 24598, 541, 12928, 459, 15969, 20595, 3327, 16, 24484, 424, 44339, 4118, 32699, 304, 688, 1447, 19920, 18, 2112, 28827, 20700, 282, 28048, 32231, 12661, 20595, 3327, 906, 13125, 324, 282, 12760, 9893, 282, 15381, 1045, 360, 11917, 2086, 9472, 1809, 4623, 18, 24114, 411, 722, 15774, 309, 13314, 20691, 639, 7059, 21986, 282, 9224, 1924, 3361, 281, 32441, 1703, 18875, 2610, 14936, 347, 4019, 38324, 355, 547, 16, 282, 1750, 827, 492, 3219, 10562, 9573, 16336, 8424, 9085, 5848, 18071, 309, 8881, 282, 4008, 42647, 6617, 18, 1253, 906, 15705, 798, 16, 282, 8311, 1045, 38324, 5944, 685, 3819, 297, 1578, 282, 3198, 13198, 8312, 6053, 16, 322, 6341, 6746, 7733, 2231, 10004, 304, 9085, 18, 6831, 5781, 1326, 5321, 46408, 23603, 670, 12971, 26721, 322, 639, 16, 1830, 22822, 478, 9302, 3536, 541, 12928, 470, 10073, 14062, 9792, 309, 803, 24682, 456, 18, 365, 8311, 1045, 282, 34007, 14016, 13526, 14683, 6274, 5134, 3455, 20065, 1326, 547, 1225, 4752, 4210, 33702, 307, 20128, 1624, 2686, 3275, 2135, 29617, 281, 6244, 6726, 34118, 303, 770, 13995, 321, 322, 22151, 975, 13898, 1756, 26503, 39654, 837, 16, 289, 492, 11368, 1423, 37917, 18, 365, 7520, 17, 277, 33702, 307, 20128, 1038, 35150, 13270, 289, 309, 10296, 282, 39309, 18, 28462, 25835, 20964, 820, 3720, 5035, 680, 1624, 1029, 282, 4675, 808, 23414, 9380, 339, 27672, 6507, 7541, 478, 789, 7489, 1180, 910, 5273, 16, 374, 282, 1175, 16555, 4011, 1326, 5321, 275, 7935, 7006, 520, 840, 9625, 35069, 30, 478, 2176, 21290, 481, 15068, 5511, 1223, 10047, 47835, 16, 329, 813, 575, 8770, 1033, 14355, 6011, 289, 8698, 25184, 16605, 2388, 1749, 16, 428, 9880, 1970, 861, 824, 4734, 5035, 718, 16, 9099, 47883, 1698, 4417, 10645, 16, 827, 478, 24867, 2004, 1886, 282, 15958, 11593, 478, 672, 947, 5902, 10201, 16, 374, 282, 12760, 27573, 1876, 6886, 8030, 16, 828, 282, 9774, 668, 5494, 861, 2, 1, 87, 1456, 81, 2448, 30, 20710, 2736, 309, 504, 2275, 13496, 43067, 322, 14306, 590, 612, 512, 282, 31869, 9445, 4513, 289, 322, 7730, 46263, 23082, 16, 2686, 334, 17, 29413, 9327, 1247, 381, 20926, 18496, 24867, 10944, 18, 31224, 30, 17810, 1173, 1999, 3359, 46608, 7569, 309, 2059, 411, 21015, 973, 282, 1175, 504, 2275, 13496, 43067, 16, 2597, 39311, 1779, 7885, 5413, 282, 9937, 16, 6088, 2834, 5326, 31313, 10493, 18, 478, 4408, 1875, 4304, 27818, 3159, 15970, 17, 38166, 718, 472, 28478, 49419, 23903, 26238, 9980, 14505, 1489, 282, 40133, 13636, 289, 8922, 49336, 7297, 18, 31574, 3050, 18496, 8966, 2749, 289, 415, 11169, 29776, 7393, 9382, 3789, 910, 510, 6442, 282, 3569, 25258, 18, 824, 17234, 35556, 18535, 27412, 1027, 43067, 4179, 14189, 510, 1223, 2706, 18705, 266, 16, 371, 970, 374, 18535, 3025, 18496, 42965, 29776, 510, 2261, 2562, 18705, 266, 18, 1787, 24507, 30, 27412, 1712, 360, 15532, 282, 11872, 6705, 779, 385, 525, 315, 17, 1464, 897, 286, 1162, 43067, 15359, 455, 42004, 24512, 282, 15593, 646, 18705, 266, 18, 2949, 924, 16, 282, 2083, 15532, 504, 2275, 31756, 43067, 45269, 28878, 1472, 282, 3610, 9, 360, 42004, 16411, 18, 478, 20710, 2736, 11540, 519, 12850, 1672, 26556, 20661, 22509, 18, 832, 1506, 9328, 14051, 7737, 2156, 40825, 47656, 7020, 16, 309, 15956, 1904, 1531, 1004, 281, 781, 1063, 41489, 16, 2391, 590, 612, 512, 282, 27118, 9445, 4513, 17010, 322, 4243, 910, 510, 48922, 5037, 23061, 49336, 3281, 4210, 28995, 375, 18, 2949, 924, 16, 19245, 322, 6666, 309, 16504, 416, 19907, 404, 16, 428, 16, 3057, 16, 385, 1464, 43067, 18, 640, 33794, 5906, 43067, 10302, 294, 9044, 20216, 289, 19008, 16, 18535, 3453, 22128, 411, 1129, 322, 17045, 5259, 18705, 266, 18, 824, 3163, 3781, 17, 38402, 478, 10520, 22214, 331, 470, 1624, 282, 9937, 282, 7135, 454, 49033, 4786, 16, 1586, 2879, 5095, 10909, 13312, 360, 15532, 289, 16122, 24724, 28261, 15974, 7020, 18, 4320, 575, 13120, 16, 374, 19082, 3619, 687, 5642, 451, 3049, 7020, 289, 491, 19066, 1225, 12193, 354, 18, 2876, 7658, 21356, 478, 10520, 22214, 331, 470, 322, 15018, 305, 16, 867, 1033, 374, 19066, 1225 ]
[ 12193, 548, 16, 360, 1878, 19417, 3895, 520, 5953, 986, 16, 3785, 289, 453, 15837, 12631, 18, 824, 25036, 46357, 16, 18172, 20498, 712, 895, 16285, 2241, 282, 4843, 2932, 3763, 18, 16909, 2301, 904, 895, 953, 44978, 13659, 761, 18, 6331, 328, 478, 842, 331, 20614, 470, 334, 504, 2275, 13496, 43067, 685, 349, 33649, 363, 282, 478, 6207, 1748, 300, 25134, 4543, 470, 309, 4843, 3324, 3763, 16, 6442, 282, 32119, 2241, 18, 3026, 5542, 10531, 16, 374, 9670, 478, 10520, 22214, 331, 470, 726, 1325, 12521, 294, 13659, 28090, 281, 13349, 3021, 290, 41418, 18, 32799, 622, 504, 2275, 13496, 43067, 322, 2410, 16485, 16, 289, 722, 2252, 549, 42283, 3716, 322, 6058, 3748, 12724, 309, 18001, 478, 10520, 22214, 331, 910, 13120, 282, 23557, 4642, 24777, 4534, 18, 740, 583, 5809, 26755, 13784, 309, 43067, 895, 7869, 294, 590, 22978, 582, 40311, 16447, 7583, 8556, 3323, 23231, 22366, 2241, 16, 11466, 1867, 34450, 18, 5585, 553, 478, 10520, 22214, 331, 470, 309, 10575, 1161, 42469, 421, 29731, 983, 3585, 19255, 309, 26352, 4281, 309, 430, 7418, 519, 430, 16, 10670, 23, 10597, 18, 4635, 1247, 29978, 10107, 43067, 1314, 4362, 7265, 309, 20957, 582, 2299, 18, 365, 478, 10520, 22214, 331, 470, 11466, 1867, 16, 374, 309, 5690, 43067, 4452, 334, 1293, 2229, 9150, 10107, 16, 961, 28627, 282, 965, 6814, 5119, 6905, 3623, 478, 10520, 22214, 331, 910, 3569, 25258, 289, 1844, 5089, 2209, 10107, 8231, 18, 8919, 381, 8928, 763, 2559, 3623, 32289, 7868, 16, 334, 3163, 14840, 478, 10520, 22214, 331, 910, 840, 9258, 506, 726, 18901, 18, 21575, 17, 13522, 4137, 6732, 726, 25960, 9541, 17, 24339, 272, 5880, 306, 2777, 9067, 28321, 2204, 6779, 3010, 15974, 43067, 18, 640, 1209, 18496, 24867, 508, 2662, 29776, 1175, 8928, 1007, 7272, 3623, 18, 365, 2630, 477, 12677, 353, 309, 504, 2275, 13496, 43067, 35097, 2959, 5012, 5481, 9434, 475, 13961, 6255, 9960, 293, 792, 507, 309, 34947, 33794, 18, 18073, 1580, 8337, 368, 282, 2241, 1011, 37922, 14697, 322, 30885, 18, 2112, 15532, 309, 385, 1464, 43067, 10845, 21253, 4586, 452, 8300, 2713, 2585, 29197, 1347, 21666, 18083, 2777, 1429, 10618, 450, 314, 1492, 2, 1, 87, 1456, 81, 2448, 30, 618, 49518, 32033, 42053, 47431, 21637, 18503, 323, 510, 309, 13420, 11056, 12412, 895, 33749, 4668, 6568, 5448, 563, 289, 1271, 649, 4419, 37963, 15513, 18, 2660, 5364, 18222, 13768, 34049, 18, 31224, 30, 677, 10882, 11147, 4040, 48698, 18, 1367, 803, 478, 46088, 18, 8381, 470, 6442, 282, 5214, 478, 1182, 348, 397, 861, 27247, 639, 376, 21, 655, 15, 21, 5448, 563, 16, 6978, 7395, 2234, 430, 17, 26, 308, 19, 267, 18, 25740, 12412, 14481, 4668, 2479, 655, 15, 2783, 5448, 563, 18, 415, 3375, 523, 4275, 412, 3847, 322, 18604, 4364, 18, 23544, 9839, 17, 14099, 451, 816, 17, 28, 308, 19, 267, 18, 10655, 4133, 2549, 539, 11440, 840, 14583, 510, 2650, 14481, 1409, 10670, 6322, 941, 266, 18, 422, 18, 25647, 736, 883, 1119, 840, 7344, 3328, 510, 5343, 12146, 282, 5214, 3806, 11972, 15969, 18, 7676, 277, 3606, 394, 3116, 530, 294, 2200, 8785, 536, 3286, 12944, 764, 816, 17, 24, 9891, 507, 18, 27247, 2418, 4238, 840, 376, 22, 655, 20, 5448, 563, 16, 385, 16, 7760, 12412, 10585, 484, 519, 4668, 3902, 655, 15, 2692, 5448, 563, 18, 365, 11147, 19988, 15929, 1137, 5090, 16, 749, 30880, 18, 23544, 7395, 2234, 430, 17, 26, 308, 19, 267, 18, 10655, 4133, 2549, 539, 11440, 294, 18328, 2961, 267, 847, 519, 1409, 5584, 6322, 941, 266, 18, 422, 18, 365, 14313, 3347, 8336, 1026, 15471, 30, 2418, 4238, 2891, 10685, 281, 43516, 536, 32571, 371, 10628, 11153, 23470, 289, 19157, 12971, 7257, 35386, 26314, 478, 1140, 15306, 349, 2200, 22094, 3347, 861, 12926, 4151, 11401, 3461, 11329, 9192, 1952, 282, 4095, 12937, 4534, 18, 967, 3008, 1383, 29245, 294, 2856, 4175, 6298, 510, 12741, 1188, 1807, 20809, 2303, 356, 1337, 20143, 473, 35110, 16, 541, 978, 764, 6332, 21982, 478, 822, 913, 440, 9737, 1020, 519, 17433, 318, 11523, 365, 11084, 4426, 3806, 11972, 2221, 272, 282, 11147, 3085, 9496, 48923, 17395, 18, 10655, 4133, 2549, 539, 11440, 31211, 847, 289, 14481, 10952, 24, 6322, 941, 266, 18, 422, 2211, 367, 12412, 7097, 19988, 309, 1061, 17, 26, 12762, 3230, 14471, 18, 640, 1760, 4238, 4275, 412, 3847, 18604, 4364, 10802, 668, 1137, 5090, 16, 749, 30880, 18, 391, 17954, 12412, 19988, 309, 5066, 2239, 655, 15, 22, 5448, 563, 16, 367, 8785, 549, 10585, 484, 519, 4668, 3420, 655, 15, 1618, 5448, 563, 18, 23544, 840, 9265, 17, 14099, 451, 430, 17, 26, 308, 19, 267, 18, 640, 27766, 5343, 41588, 305, 20653, 478, 672, 562, 292, 2009, 581, 287, 861, 608, 1304, 912, 15728, 2678, 13363, 19522, 16488, 564, 11061, 553, 289, 45972, 282, 47210, 11338, 18, 824, 4547, 10856, 47431, 11272, 35070, 281, 12070, 46941, 1485, 16, 584, 1446, 14783, 448, 49005, 289, 31882, 334, 34689, 23827, 39641, 18, 640, 28441, 6394, 5475, 8192, 9871, 292, 2110, 3411, 18, 385, 12793, 4676, 5576, 17395, 282, 11147, 3716, 322, 25190, 18, 10655, 4133, 2549, 539, 11440, 2500, 31211, 847, 473, 8564, 22, 6322, 941, 266, 18, 422, 9761, 4275, 412, 3847, 18604, 4364, 10802, 668, 1137, 5090, 16, 749, 30880, 18, 27247, 12412, 7097, 14481, 4668, 21, 655, 15, 26, 5448, 563, 16, 7760, 510, 4668, 3902, 655, 15, 6568, 5448, 563, 18, 23544, 9265, 17, 14099, 451, 430, 17, 26, 308, 19, 267, 18, 608, 2261, 4238, 912, 475, 16171, 1852, 3818, 34355, 7760, 281, 2742, 779, 18, 817, 1271, 7862, 15513, 1533, 4238, 510, 1655, 309, 49129, 30166, 17996, 262, 9527, 309, 38865, 682, 1916, 898, 10750, 6025, 1939, 16, 27, 9891, 507, 13780, 18, 2123, 4238, 23337, 539, 11440, 282, 3507, 334, 17, 6093, 840, 13003, 510, 10952, 23, 6322, 941, 266, 18, 422, 18, 2046, 24787, 3545, 35723, 20201, 668, 935, 334, 986, 966, 35556, 22961, 18, 27247, 840, 4668, 22, 655, 15, 27, 5448, 563, 16, 7760, 510, 4668, 3902, 655, 15, 6568, 5448, 563, 18, 1591, 12241, 19988, 10802, 549, 1137, 5090, 510, 749, 44354, 30880, 18, 23544, 5211, 451, 430, 17, 26, 308, 19, 267, 18, 43240, 16, 4080, 5106, 12753, 282, 3507, 510, 367, 33146, 564, 16282, 27961, 289, 2870, 656, 5641, 46316 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12193, 548, 16, 360, 1878, 19417, 3895, 520, 5953, 986, 16, 3785, 289, 453, 15837, 12631, 18, 824, 25036, 46357, 16, 18172, 20498, 712, 895, 16285, 2241, 282, 4843, 2932, 3763, 18, 16909, 2301, 904, 895, 953, 44978, 13659, 761, 18, 6331, 328, 478, 842, 331, 20614, 470, 334, 504, 2275, 13496, 43067, 685, 349, 33649, 363, 282, 478, 6207, 1748, 300, 25134, 4543, 470, 309, 4843, 3324, 3763, 16, 6442, 282, 32119, 2241, 18, 3026, 5542, 10531, 16, 374, 9670, 478, 10520, 22214, 331, 470, 726, 1325, 12521, 294, 13659, 28090, 281, 13349, 3021, 290, 41418, 18, 32799, 622, 504, 2275, 13496, 43067, 322, 2410, 16485, 16, 289, 722, 2252, 549, 42283, 3716, 322, 6058, 3748, 12724, 309, 18001, 478, 10520, 22214, 331, 910, 13120, 282, 23557, 4642, 24777, 4534, 18, 740, 583, 5809, 26755, 13784, 309, 43067, 895, 7869, 294, 590, 22978, 582, 40311, 16447, 7583, 8556, 3323, 23231, 22366, 2241, 16, 11466, 1867, 34450, 18, 5585, 553, 478, 10520, 22214, 331, 470, 309, 10575, 1161, 42469, 421, 29731, 983, 3585, 19255, 309, 26352, 4281, 309, 430, 7418, 519, 430, 16, 10670, 23, 10597, 18, 4635, 1247, 29978, 10107, 43067, 1314, 4362, 7265, 309, 20957, 582, 2299, 18, 365, 478, 10520, 22214, 331, 470, 11466, 1867, 16, 374, 309, 5690, 43067, 4452, 334, 1293, 2229, 9150, 10107, 16, 961, 28627, 282, 965, 6814, 5119, 6905, 3623, 478, 10520, 22214, 331, 910, 3569, 25258, 289, 1844, 5089, 2209, 10107, 8231, 18, 8919, 381, 8928, 763, 2559, 3623, 32289, 7868, 16, 334, 3163, 14840, 478, 10520, 22214, 331, 910, 840, 9258, 506, 726, 18901, 18, 21575, 17, 13522, 4137, 6732, 726, 25960, 9541, 17, 24339, 272, 5880, 306, 2777, 9067, 28321, 2204, 6779, 3010, 15974, 43067, 18, 640, 1209, 18496, 24867, 508, 2662, 29776, 1175, 8928, 1007, 7272, 3623, 18, 365, 2630, 477, 12677, 353, 309, 504, 2275, 13496, 43067, 35097, 2959, 5012, 5481, 9434, 475, 13961, 6255, 9960, 293, 792, 507, 309, 34947, 33794, 18, 18073, 1580, 8337, 368, 282, 2241, 1011, 37922, 14697, 322, 30885, 18, 2112, 15532, 309, 385, 1464, 43067, 10845, 21253, 4586, 452, 8300, 2713, 2585, 29197, 1347, 21666, 18083, 2777, 1429, 10618, 450, 314, 1492, 2, 1, 87, 1456, 81, 2448, 30, 618, 49518, 32033, 42053, 47431, 21637, 18503, 323, 510, 309, 13420, 11056, 12412, 895, 33749, 4668, 6568, 5448, 563, 289, 1271, 649, 4419, 37963, 15513, 18, 2660, 5364, 18222, 13768, 34049, 18, 31224, 30, 677, 10882, 11147, 4040, 48698, 18, 1367, 803, 478, 46088, 18, 8381, 470, 6442, 282, 5214, 478, 1182, 348, 397, 861, 27247, 639, 376, 21, 655, 15, 21, 5448, 563, 16, 6978, 7395, 2234, 430, 17, 26, 308, 19, 267, 18, 25740, 12412, 14481, 4668, 2479, 655, 15, 2783, 5448, 563, 18, 415, 3375, 523, 4275, 412, 3847, 322, 18604, 4364, 18, 23544, 9839, 17, 14099, 451, 816, 17, 28, 308, 19, 267, 18, 10655, 4133, 2549, 539, 11440, 840, 14583, 510, 2650, 14481, 1409, 10670, 6322, 941, 266, 18, 422, 18, 25647, 736, 883, 1119, 840, 7344, 3328, 510, 5343, 12146, 282, 5214, 3806, 11972, 15969, 18, 7676, 277, 3606, 394, 3116, 530, 294, 2200, 8785, 536, 3286, 12944, 764, 816, 17, 24, 9891, 507, 18, 27247, 2418, 4238, 840, 376, 22, 655, 20, 5448, 563, 16, 385, 16, 7760, 12412, 10585, 484, 519, 4668, 3902, 655, 15, 2692, 5448, 563, 18, 365, 11147, 19988, 15929, 1137, 5090, 16, 749, 30880, 18, 23544, 7395, 2234, 430, 17, 26, 308, 19, 267, 18, 10655, 4133, 2549, 539, 11440, 294, 18328, 2961, 267, 847, 519, 1409, 5584, 6322, 941, 266, 18, 422, 18, 365, 14313, 3347, 8336, 1026, 15471, 30, 2418, 4238, 2891, 10685, 281, 43516, 536, 32571, 371, 10628, 11153, 23470, 289, 19157, 12971, 7257, 35386, 26314, 478, 1140, 15306, 349, 2200, 22094, 3347, 861, 12926, 4151, 11401, 3461, 11329, 9192, 1952, 282, 4095, 12937, 4534, 18, 967, 3008, 1383, 29245, 294, 2856, 4175, 6298, 510, 12741, 1188, 1807, 20809, 2303, 356, 1337, 20143, 473, 35110, 16, 541, 978, 764, 6332, 21982, 478, 822, 913, 440, 9737, 1020, 519, 17433, 318, 11523, 365, 11084, 4426, 3806, 11972, 2221, 272, 282, 11147, 3085, 9496, 48923, 17395, 18, 10655, 4133, 2549, 539, 11440, 31211, 847, 289, 14481, 10952, 24, 6322, 941, 266, 18, 422, 2211, 367, 12412, 7097, 19988, 309, 1061, 17, 26, 12762, 3230, 14471, 18, 640, 1760, 4238, 4275, 412, 3847, 18604, 4364, 10802, 668, 1137, 5090, 16, 749, 30880, 18, 391, 17954, 12412, 19988, 309, 5066, 2239, 655, 15, 22, 5448, 563, 16, 367, 8785, 549, 10585, 484, 519, 4668, 3420, 655, 15, 1618, 5448, 563, 18, 23544, 840, 9265, 17, 14099, 451, 430, 17, 26, 308, 19, 267, 18, 640, 27766, 5343, 41588, 305, 20653, 478, 672, 562, 292, 2009, 581, 287, 861, 608, 1304, 912, 15728, 2678, 13363, 19522, 16488, 564, 11061, 553, 289, 45972, 282, 47210, 11338, 18, 824, 4547, 10856, 47431, 11272, 35070, 281, 12070, 46941, 1485, 16, 584, 1446, 14783, 448, 49005, 289, 31882, 334, 34689, 23827, 39641, 18, 640, 28441, 6394, 5475, 8192, 9871, 292, 2110, 3411, 18, 385, 12793, 4676, 5576, 17395, 282, 11147, 3716, 322, 25190, 18, 10655, 4133, 2549, 539, 11440, 2500, 31211, 847, 473, 8564, 22, 6322, 941, 266, 18, 422, 9761, 4275, 412, 3847, 18604, 4364, 10802, 668, 1137, 5090, 16, 749, 30880, 18, 27247, 12412, 7097, 14481, 4668, 21, 655, 15, 26, 5448, 563, 16, 7760, 510, 4668, 3902, 655, 15, 6568, 5448, 563, 18, 23544, 9265, 17, 14099, 451, 430, 17, 26, 308, 19, 267, 18, 608, 2261, 4238, 912, 475, 16171, 1852, 3818, 34355, 7760, 281, 2742, 779, 18, 817, 1271, 7862, 15513, 1533, 4238, 510, 1655, 309, 49129, 30166, 17996, 262, 9527, 309, 38865, 682, 1916, 898, 10750, 6025, 1939, 16, 27, 9891, 507, 13780, 18, 2123, 4238, 23337, 539, 11440, 282, 3507, 334, 17, 6093, 840, 13003, 510, 10952, 23, 6322, 941, 266, 18, 422, 18, 2046, 24787, 3545, 35723, 20201, 668, 935, 334, 986, 966, 35556, 22961, 18, 27247, 840, 4668, 22, 655, 15, 27, 5448, 563, 16, 7760, 510, 4668, 3902, 655, 15, 6568, 5448, 563, 18, 1591, 12241, 19988, 10802, 549, 1137, 5090, 510, 749, 44354, 30880, 18, 23544, 5211, 451, 430, 17, 26, 308, 19, 267, 18, 43240, 16, 4080, 5106, 12753, 282, 3507, 510, 367, 33146, 564, 16282, 27961, 289, 2870, 656, 5641, 46316 ]
[ 16, 510, 2172, 7790, 3836, 34194, 1133, 27981, 1119, 382, 334, 33887, 18, 48942, 3219, 19281, 27693, 12592, 1157, 309, 449, 2466, 37849, 18, 2949, 924, 16, 3888, 3187, 2497, 9510, 289, 40895, 726, 16337, 1617, 41961, 30714, 700, 510, 11664, 1677, 354, 309, 37503, 34194, 1212, 7570, 764, 7012, 322, 3717, 402, 364, 18, 365, 9937, 33603, 309, 1942, 397, 833, 263, 840, 1143, 510, 17119, 322, 5285, 928, 6197, 11511, 18, 36748, 6353, 7636, 847, 18, 27247, 4275, 412, 3847, 18604, 4364, 2239, 655, 15, 25, 5448, 563, 16, 7760, 510, 4668, 29, 655, 15, 3940, 5448, 563, 18, 1281, 4238, 282, 3507, 840, 1137, 695, 281, 20085, 39369, 18, 2660, 5364, 28648, 6197, 11511, 18, 23544, 5211, 451, 816, 17, 28, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 510, 1409, 9247, 6322, 941, 266, 18, 422, 18, 981, 17, 347, 30, 309, 13519, 11056, 1011, 21535, 434, 11529, 347, 1533, 4238, 656, 5892, 538, 290, 970, 16, 374, 17245, 360, 4644, 14845, 18, 459, 1858, 510, 1543, 575, 5517, 30, 47581, 3561, 282, 2912, 426, 16, 515, 289, 2398, 1320, 7827, 927, 18, 10655, 4133, 2549, 539, 11440, 32033, 3585, 11120, 289, 282, 11946, 510, 2650, 14481, 1409, 10164, 6322, 941, 266, 18, 422, 18, 33276, 24628, 2753, 530, 18059, 1527, 281, 9839, 17, 31706, 31800, 37816, 12459, 18, 415, 3375, 523, 667, 4238, 322, 19988, 16, 282, 3507, 840, 1137, 695, 281, 20085, 39369, 18, 391, 17954, 12412, 14481, 376, 22, 655, 15, 23, 5448, 563, 16, 367, 7760, 10585, 484, 519, 4668, 25, 655, 15, 2479, 5448, 563, 18, 23544, 5211, 451, 1061, 17, 2479, 308, 19, 267, 18, 439, 656, 374, 5780, 396, 36345, 35, 10418, 831, 3227, 19976, 14096, 323, 289, 28454, 5314, 2608, 18, 1939, 4238, 5426, 12412, 7097, 14481, 4668, 21, 655, 15, 26, 5448, 563, 16, 7760, 510, 4668, 27, 655, 15, 2783, 5448, 563, 18, 23544, 9839, 17, 12212, 2234, 491, 17, 27, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 510, 1409, 9869, 6322, 941, 266, 18, 422, 18, 365, 10882, 282, 3507, 32624, 1143, 3417, 3101, 429, 1020, 2019, 434, 2299, 18, 640, 1129, 38143, 10023, 1736, 712, 8070, 5529, 23317, 2127, 15966, 18, 3791, 282, 1177, 1119, 18427, 484, 9518, 4296, 412, 1020, 3997, 18, 365, 6104, 1045, 29098, 447, 3005, 9625, 816, 16, 21, 4500, 18, 46550, 4868, 510, 282, 11147, 43583, 10367, 25533, 13006, 354, 18, 14438, 808, 2914, 521, 400, 9287, 9518, 47210, 4296, 412, 269, 1864, 2460, 289, 9940, 425, 281, 9743, 309, 17923, 18, 2, 1, 87, 1456, 81, 2448, 30, 35472, 12772, 84, 289, 1234, 14338, 44944, 38435, 2678, 10929, 46245, 320, 23437, 1021, 1297, 89, 18, 5585, 22805, 322, 1698, 21377, 290, 24201, 292, 3281, 5115, 30, 4128, 670, 13135, 11968, 12237, 329, 22691, 16, 670, 3118, 6863, 411, 7321, 18, 21003, 294, 4148, 1918, 16, 1029, 726, 10490, 10073, 13739, 16, 12605, 332, 6153, 9383, 3785, 1180, 17891, 534, 42293, 13070, 48830, 18, 31224, 30, 20651, 18820, 21501, 541, 8063, 17, 33516, 902, 287, 15474, 289, 43943, 2516, 1021, 1297, 89, 2780, 9744, 281, 8343, 9471, 41754, 2661, 290, 25754, 13486, 7321, 16, 18479, 13156, 38341, 18, 15495, 27713, 510, 19504, 1234, 14338, 44944, 289, 18045, 12772, 84, 472, 673, 14722, 9561, 280, 1214, 651, 36896, 21999, 360, 27306, 17605, 18, 824, 3761, 11861, 16, 2354, 294, 36527, 1021, 1297, 89, 5777, 1154, 6153, 9383, 3785, 1180, 17891, 534, 42293, 13070, 48830, 24893, 528, 2167, 5039, 21580, 3536, 16, 2496, 22240, 1754, 34917, 296, 20627, 7193, 25894, 27340, 1130, 1638, 75, 1284, 16, 18990, 18607, 5434, 35196, 1130, 5242, 45242, 289, 9630, 18734, 44204, 11438, 37479, 18, 365, 46636, 1021, 1297, 89, 22457, 289, 1293, 1888, 27306, 17605, 16, 515, 1055, 19683, 8369, 290, 11977, 4840, 21501, 537, 360, 2616, 322, 48273, 16, 4266, 13156, 21408, 18, 23656, 1021, 1297, 89, 16, 18045, 12772, 84, 289, 1180, 17891, 534, 42293, 13070, 48830, 17245, 360, 15841, 18, 47245, 2204, 6779, 10983, 282, 1234, 14338, 44944, 322, 3225, 18, 1021, 1297, 89, 685, 44302, 282, 5653, 1045, 18, 46406, 397, 320, 1723, 4360, 5221, 11338, 16, 2224, 1923, 16, 4889, 16, 9776, 2664, 16, 26914, 918, 289, 311, 18, 302, 18, 21524, 1443, 309, 20617, 1066, 20596, 5394, 1321, 3168, 4633, 1033, 828, 281, 1032, 2479, 27383, 16, 282, 2875, 1639, 33409, 16, 1059, 11539, 25043, 4787, 565, 16, 44461, 1624, 1185, 2929, 75, 1899, 16, 860, 17915, 34558, 87, 16, 8918, 9881, 44482, 1624, 12207, 866, 3677, 16, 35229, 969, 45233, 16, 8083, 9279, 42491, 87, 18, 365, 11023, 4018, 779, 11453, 2147, 21501, 18814, 309, 12662, 9, 519, 4843, 26, 12555, 3763, 16, 3400, 5209, 432, 48599, 21086, 38245, 816, 3763, 18, 49264, 282, 1021, 1297, 89, 1552, 530, 18045, 12772, 84, 289, 1234, 14338, 44944, 18, 7022, 355, 282, 48060, 1038, 23414, 25254, 4731, 16350, 16, 515, 678, 23220, 798, 360, 8465, 282, 2204, 15459, 18617, 1021, 1297, 89, 334, 20944, 11418, 281, 22996, 8943, 16, 961, 36897, 19504, 282, 10841, 4440, 779, 5529, 11446, 1059, 11539, 33048, 565, 473, 12086, 18314, 329, 16749, 23759, 3414, 18, 365, 6104, 1045, 1421, 7934, 1069, 26932, 13135, 10820, 1533, 17, 45900, 668, 12237, 282, 1021, 1297, 89, 329, 13588, 48693, 22737, 19576, 1302, 1823, 1868, 13070, 48830, 349, 4843, 4003, 3763, 18, 740, 329, 18045, 12772, 84, 289, 1234, 14338, 44944, 30442, 24013, 11840, 5115, 16, 5301, 14205, 1273, 1234, 21468, 18, 44944, 5273, 16, 374, 1021, 1297, 89, 2879, 37437, 1519, 49253, 349, 2948, 13185, 16, 1586, 27997, 4164, 567, 808, 3286, 25087, 18, 18045, 12772, 84, 5273, 16, 374, 20630, 968, 35718, 309, 6138, 5209, 416, 15028, 1465, 18, 478, 36928, 8845, 12218, 13748, 294, 2222, 16, 374, 282, 4675, 808, 19504, 44963, 2678, 49379, 18828, 702, 329, 2803, 16, 367, 1038, 5836, 16523, 1021, 1297, 89, 289, 11335, 8421, 411, 22636, 18, 5043, 16, 1055, 745, 322, 1589, 12978, 537, 281, 3348, 411, 14938, 7459, 9391, 910, 510, 4266, 13156, 18, 365, 4479, 1045, 1069, 22805, 1021, 1297, 89, 42764, 2678, 5743, 21462, 2514, 15429, 11400, 21501, 18, 439, 1248, 1205, 10073, 13739, 10928, 16, 515, 282, 6031, 2859, 435, 3457, 8369, 1209, 47896, 6271, 651, 4772, 17, 2499, 19806, 609, 10982, 289, 3254, 5477, 16382, 1624, 8063, 17, 2640, 355 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 510, 2172, 7790, 3836, 34194, 1133, 27981, 1119, 382, 334, 33887, 18, 48942, 3219, 19281, 27693, 12592, 1157, 309, 449, 2466, 37849, 18, 2949, 924, 16, 3888, 3187, 2497, 9510, 289, 40895, 726, 16337, 1617, 41961, 30714, 700, 510, 11664, 1677, 354, 309, 37503, 34194, 1212, 7570, 764, 7012, 322, 3717, 402, 364, 18, 365, 9937, 33603, 309, 1942, 397, 833, 263, 840, 1143, 510, 17119, 322, 5285, 928, 6197, 11511, 18, 36748, 6353, 7636, 847, 18, 27247, 4275, 412, 3847, 18604, 4364, 2239, 655, 15, 25, 5448, 563, 16, 7760, 510, 4668, 29, 655, 15, 3940, 5448, 563, 18, 1281, 4238, 282, 3507, 840, 1137, 695, 281, 20085, 39369, 18, 2660, 5364, 28648, 6197, 11511, 18, 23544, 5211, 451, 816, 17, 28, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 510, 1409, 9247, 6322, 941, 266, 18, 422, 18, 981, 17, 347, 30, 309, 13519, 11056, 1011, 21535, 434, 11529, 347, 1533, 4238, 656, 5892, 538, 290, 970, 16, 374, 17245, 360, 4644, 14845, 18, 459, 1858, 510, 1543, 575, 5517, 30, 47581, 3561, 282, 2912, 426, 16, 515, 289, 2398, 1320, 7827, 927, 18, 10655, 4133, 2549, 539, 11440, 32033, 3585, 11120, 289, 282, 11946, 510, 2650, 14481, 1409, 10164, 6322, 941, 266, 18, 422, 18, 33276, 24628, 2753, 530, 18059, 1527, 281, 9839, 17, 31706, 31800, 37816, 12459, 18, 415, 3375, 523, 667, 4238, 322, 19988, 16, 282, 3507, 840, 1137, 695, 281, 20085, 39369, 18, 391, 17954, 12412, 14481, 376, 22, 655, 15, 23, 5448, 563, 16, 367, 7760, 10585, 484, 519, 4668, 25, 655, 15, 2479, 5448, 563, 18, 23544, 5211, 451, 1061, 17, 2479, 308, 19, 267, 18, 439, 656, 374, 5780, 396, 36345, 35, 10418, 831, 3227, 19976, 14096, 323, 289, 28454, 5314, 2608, 18, 1939, 4238, 5426, 12412, 7097, 14481, 4668, 21, 655, 15, 26, 5448, 563, 16, 7760, 510, 4668, 27, 655, 15, 2783, 5448, 563, 18, 23544, 9839, 17, 12212, 2234, 491, 17, 27, 308, 19, 267, 18, 10655, 4133, 2549, 451, 4328, 510, 1409, 9869, 6322, 941, 266, 18, 422, 18, 365, 10882, 282, 3507, 32624, 1143, 3417, 3101, 429, 1020, 2019, 434, 2299, 18, 640, 1129, 38143, 10023, 1736, 712, 8070, 5529, 23317, 2127, 15966, 18, 3791, 282, 1177, 1119, 18427, 484, 9518, 4296, 412, 1020, 3997, 18, 365, 6104, 1045, 29098, 447, 3005, 9625, 816, 16, 21, 4500, 18, 46550, 4868, 510, 282, 11147, 43583, 10367, 25533, 13006, 354, 18, 14438, 808, 2914, 521, 400, 9287, 9518, 47210, 4296, 412, 269, 1864, 2460, 289, 9940, 425, 281, 9743, 309, 17923, 18, 2, 1, 87, 1456, 81, 2448, 30, 35472, 12772, 84, 289, 1234, 14338, 44944, 38435, 2678, 10929, 46245, 320, 23437, 1021, 1297, 89, 18, 5585, 22805, 322, 1698, 21377, 290, 24201, 292, 3281, 5115, 30, 4128, 670, 13135, 11968, 12237, 329, 22691, 16, 670, 3118, 6863, 411, 7321, 18, 21003, 294, 4148, 1918, 16, 1029, 726, 10490, 10073, 13739, 16, 12605, 332, 6153, 9383, 3785, 1180, 17891, 534, 42293, 13070, 48830, 18, 31224, 30, 20651, 18820, 21501, 541, 8063, 17, 33516, 902, 287, 15474, 289, 43943, 2516, 1021, 1297, 89, 2780, 9744, 281, 8343, 9471, 41754, 2661, 290, 25754, 13486, 7321, 16, 18479, 13156, 38341, 18, 15495, 27713, 510, 19504, 1234, 14338, 44944, 289, 18045, 12772, 84, 472, 673, 14722, 9561, 280, 1214, 651, 36896, 21999, 360, 27306, 17605, 18, 824, 3761, 11861, 16, 2354, 294, 36527, 1021, 1297, 89, 5777, 1154, 6153, 9383, 3785, 1180, 17891, 534, 42293, 13070, 48830, 24893, 528, 2167, 5039, 21580, 3536, 16, 2496, 22240, 1754, 34917, 296, 20627, 7193, 25894, 27340, 1130, 1638, 75, 1284, 16, 18990, 18607, 5434, 35196, 1130, 5242, 45242, 289, 9630, 18734, 44204, 11438, 37479, 18, 365, 46636, 1021, 1297, 89, 22457, 289, 1293, 1888, 27306, 17605, 16, 515, 1055, 19683, 8369, 290, 11977, 4840, 21501, 537, 360, 2616, 322, 48273, 16, 4266, 13156, 21408, 18, 23656, 1021, 1297, 89, 16, 18045, 12772, 84, 289, 1180, 17891, 534, 42293, 13070, 48830, 17245, 360, 15841, 18, 47245, 2204, 6779, 10983, 282, 1234, 14338, 44944, 322, 3225, 18, 1021, 1297, 89, 685, 44302, 282, 5653, 1045, 18, 46406, 397, 320, 1723, 4360, 5221, 11338, 16, 2224, 1923, 16, 4889, 16, 9776, 2664, 16, 26914, 918, 289, 311, 18, 302, 18, 21524, 1443, 309, 20617, 1066, 20596, 5394, 1321, 3168, 4633, 1033, 828, 281, 1032, 2479, 27383, 16, 282, 2875, 1639, 33409, 16, 1059, 11539, 25043, 4787, 565, 16, 44461, 1624, 1185, 2929, 75, 1899, 16, 860, 17915, 34558, 87, 16, 8918, 9881, 44482, 1624, 12207, 866, 3677, 16, 35229, 969, 45233, 16, 8083, 9279, 42491, 87, 18, 365, 11023, 4018, 779, 11453, 2147, 21501, 18814, 309, 12662, 9, 519, 4843, 26, 12555, 3763, 16, 3400, 5209, 432, 48599, 21086, 38245, 816, 3763, 18, 49264, 282, 1021, 1297, 89, 1552, 530, 18045, 12772, 84, 289, 1234, 14338, 44944, 18, 7022, 355, 282, 48060, 1038, 23414, 25254, 4731, 16350, 16, 515, 678, 23220, 798, 360, 8465, 282, 2204, 15459, 18617, 1021, 1297, 89, 334, 20944, 11418, 281, 22996, 8943, 16, 961, 36897, 19504, 282, 10841, 4440, 779, 5529, 11446, 1059, 11539, 33048, 565, 473, 12086, 18314, 329, 16749, 23759, 3414, 18, 365, 6104, 1045, 1421, 7934, 1069, 26932, 13135, 10820, 1533, 17, 45900, 668, 12237, 282, 1021, 1297, 89, 329, 13588, 48693, 22737, 19576, 1302, 1823, 1868, 13070, 48830, 349, 4843, 4003, 3763, 18, 740, 329, 18045, 12772, 84, 289, 1234, 14338, 44944, 30442, 24013, 11840, 5115, 16, 5301, 14205, 1273, 1234, 21468, 18, 44944, 5273, 16, 374, 1021, 1297, 89, 2879, 37437, 1519, 49253, 349, 2948, 13185, 16, 1586, 27997, 4164, 567, 808, 3286, 25087, 18, 18045, 12772, 84, 5273, 16, 374, 20630, 968, 35718, 309, 6138, 5209, 416, 15028, 1465, 18, 478, 36928, 8845, 12218, 13748, 294, 2222, 16, 374, 282, 4675, 808, 19504, 44963, 2678, 49379, 18828, 702, 329, 2803, 16, 367, 1038, 5836, 16523, 1021, 1297, 89, 289, 11335, 8421, 411, 22636, 18, 5043, 16, 1055, 745, 322, 1589, 12978, 537, 281, 3348, 411, 14938, 7459, 9391, 910, 510, 4266, 13156, 18, 365, 4479, 1045, 1069, 22805, 1021, 1297, 89, 42764, 2678, 5743, 21462, 2514, 15429, 11400, 21501, 18, 439, 1248, 1205, 10073, 13739, 10928, 16, 515, 282, 6031, 2859, 435, 3457, 8369, 1209, 47896, 6271, 651, 4772, 17, 2499, 19806, 609, 10982, 289, 3254, 5477, 16382, 1624, 8063, 17, 2640, 355 ]
[ 8367, 10530, 49190, 1624, 367, 1038, 23903, 17677, 346, 26643, 1130, 2721, 34558, 18, 39663, 25084, 309, 1021, 1297, 89, 840, 7339, 16, 5273, 41330, 1234, 527, 70, 14320, 12683, 1019, 6690, 19209, 7907, 1477, 18, 478, 35485, 10093, 40429, 1021, 1297, 89, 4247, 36101, 2234, 4004, 16, 289, 2504, 322, 17970, 13501, 10845, 16, 1055, 678, 322, 5304, 13190, 649, 20495, 309, 20617, 1066, 35196, 282, 18088, 4267, 2618, 8191, 16, 510, 2548, 492, 18, 651, 12726, 5115, 23590, 309, 10287, 416, 11726, 617, 16, 367, 749, 19569, 19965, 17356, 537, 1176, 5638, 451, 13588, 350, 322, 33446, 35542, 1574, 2695, 861, 2, 1, 87, 1456, 81, 2448, 30, 471, 46625, 38547, 2665, 470, 13349, 364, 478, 18306, 470, 290, 16115, 6622, 9744, 282, 4301, 12755, 28361, 2973, 24951, 40429, 309, 20432, 289, 35185, 7179, 8697, 18, 365, 19862, 4365, 1428, 1484, 15833, 16, 374, 9744, 1698, 6886, 726, 282, 13673, 4701, 18, 478, 46625, 38547, 470, 282, 4542, 45214, 15279, 29788, 290, 970, 16, 374, 322, 12557, 17548, 874, 41476, 16, 289, 37833, 360, 478, 37075, 470, 38487, 22225, 18, 28616, 7501, 3236, 16, 374, 7933, 3793, 9744, 40769, 2539, 530, 683, 991, 454, 1333, 282, 1335, 22534, 18, 31224, 30, 471, 46625, 38547, 2665, 470, 18946, 478, 18306, 272, 470, 21283, 16115, 6622, 9744, 18, 1367, 803, 2815, 46984, 2684, 1887, 12456, 43903, 478, 18306, 470, 3720, 16640, 18, 478, 15883, 478, 18306, 470, 309, 1595, 10159, 3619, 360, 478, 46625, 1041, 431, 2665, 470, 21283, 290, 16115, 6622, 9744, 282, 4301, 12755, 28361, 2973, 24951, 40429, 309, 31438, 289, 35185, 8697, 18, 26361, 339, 870, 9744, 5848, 282, 13673, 4701, 910, 510, 1109, 16640, 18, 1563, 10502, 4365, 16090, 11661, 19900, 294, 7786, 30806, 16, 5542, 6954, 16, 374, 329, 1047, 1617, 9118, 309, 870, 19934, 18, 478, 684, 9747, 5196, 2879, 34065, 478, 275, 881, 413, 309, 9060, 636, 470, 281, 2759, 8738, 46626, 355, 18, 478, 46625, 38547, 470, 35270, 2712, 478, 18306, 470, 309, 9155, 16, 374, 322, 12557, 49549, 1558, 41476, 910, 510, 5130, 282, 9907, 309, 7759, 478, 46625, 1041, 431, 470, 282, 469, 40484, 18, 478, 46625, 38547, 470, 35270, 2712, 478, 18306, 470, 309, 9155, 16, 374, 322, 12557, 17548, 874, 41476, 18, 478, 30674, 924, 16, 656, 31722, 478, 18306, 272, 470, 21600, 290, 16685, 298, 11001, 2503, 18, 640, 9155, 16, 9121, 16, 840, 8271, 9488, 15230, 10120, 17771, 3784, 910, 510, 7332, 3781, 17, 9952, 2241, 1694, 8300, 42714, 8840, 2241, 20888, 6873, 24009, 18, 4756, 478, 18306, 470, 18946, 478, 46625, 38547, 272, 470, 31373, 47585, 290, 3998, 12755, 28361, 2973, 40429, 309, 31438, 289, 35185, 8697, 282, 37553, 277, 1212, 17771, 287, 452, 16, 1029, 4039, 3750, 10954, 2159, 3003, 334, 19665, 3756, 497, 3399, 1251, 27383, 18, 6158, 16435, 300, 478, 18306, 470, 36089, 4843, 24, 16, 15009, 5096, 349, 1565, 17730, 454, 22342, 3314, 32873, 8697, 541, 2273, 288, 1004, 18, 4756, 1551, 16435, 300, 478, 46625, 38547, 470, 18692, 478, 18306, 272, 470, 2734, 1033, 4843, 22, 5096, 349, 31438, 8697, 16, 367, 15442, 334, 11213, 1876, 334, 20050, 478, 15306, 670, 821, 345, 470, 5009, 2022, 282, 4705, 445, 510, 519, 1032, 5096, 34184, 8697, 282, 1205, 18, 5333, 2175, 16, 334, 8872, 1949, 30852, 19186, 49611, 746, 29048, 36089, 478, 46625, 38547, 272, 470, 4843, 22, 16, 10207, 5096, 16, 367, 33035, 3785, 2879, 6273, 294, 11213, 1876, 8697, 411, 1175, 18, 478, 18306, 470, 16328, 42800, 16545, 281, 3003, 17771, 3784, 16, 367, 5747, 2815, 290, 48728, 1841, 310, 8239, 18, 2949, 924, 16, 4365, 16090, 9473, 411, 17, 431, 14236, 2797, 267, 11383, 1443, 49432, 40228, 2303, 16, 367, 2512, 2780, 21261, 32416, 40429, 281, 478, 46625, 38547, 304, 861, 2511, 3990, 5037, 478, 37075, 470, 6096, 36439, 25495, 7638, 17, 2168, 6926, 50066, 9441, 14457, 1624, 374, 4126, 32416, 40429, 895, 13898, 430, 16, 25, 17, 22, 779, 18, 824, 505, 3163, 16, 4365, 16090, 5678, 309, 2089, 21743, 16, 753, 8945, 20134, 46724, 16, 453, 428, 478, 46625, 38547, 470, 2815, 16, 374, 519, 3915, 3193, 40429, 309, 9185, 4075, 37553, 277, 718, 17771, 3784, 15279, 15343, 3058, 281, 7179, 2303, 4593, 41841, 764, 1293, 13814, 4662, 18, 30491, 478, 46625, 1041, 431, 470, 6711, 808, 2158, 1576, 857, 16, 374, 20015, 37833, 281, 478, 37075, 470, 2364, 4843, 2932, 5096, 334, 35185, 1147, 39690, 18, 478, 18229, 16, 282, 2567, 4190, 541, 813, 870, 41476, 10191, 30718, 33842, 758, 16, 322, 4550, 17194, 758, 281, 12402, 4947, 4611, 16, 289, 478, 18306, 470, 5962, 3003, 290, 3998, 12755, 28361, 2973, 40429, 282, 40449, 4666, 1248, 37553, 277, 778, 26311, 910, 510, 9299, 36439, 18, 817, 13744, 16, 374, 478, 18306, 470, 726, 13875, 32463, 1066, 334, 47218, 309, 31438, 8697, 309, 13012, 16, 519, 3915, 3990, 840, 424, 2334, 1841, 310, 16335, 334, 47218, 309, 35185, 289, 25760, 8087, 19261, 28361, 2973, 40429, 282, 36508, 4666, 18, 478, 4348, 16, 749, 9012, 16, 4660, 3559, 16, 374, 282, 4301, 3741, 7649, 13816, 37553, 277, 778, 26311, 9358, 341, 6170, 8262, 5158, 7405, 4546, 910, 510, 41274, 3064, 492, 18, 7249, 309, 28846, 12755, 28361, 2973, 9105, 16, 1963, 1698, 21377, 567, 7316, 48236, 547, 4666, 289, 334, 4506, 1147, 2618, 5133, 18894, 567, 475, 764, 39304, 37390, 5836, 16, 31272, 37890, 3633, 2700, 11465, 16, 334, 10744, 277, 478, 37075, 910, 23144, 7405, 4546, 16, 23751, 29846, 6357, 30345, 2241, 1021, 44186, 33595, 23154, 3565, 657, 3720, 504, 14850, 2931, 18, 2046, 16, 334, 4734, 34361, 16, 309, 2204, 11265, 18091, 4998, 10343, 297, 2155, 14889, 322, 2353, 18, 385, 9752, 924, 16, 374, 19261, 28361, 2973, 25102, 895, 1103, 31451, 519, 430, 16, 25, 986, 16, 481, 16, 1381, 27721, 16, 840, 3964, 322, 15728, 4765, 1949, 6271, 18, 824, 3538, 3839, 2973, 13109, 5708, 8900, 289, 37965, 10144, 309, 4862, 473, 11765, 26155, 779, 13, 478, 46625, 38547, 470, 3147, 895, 16409, 2153, 28169, 454, 16, 5273, 504, 14850, 2931, 18, 4530, 867, 6980, 10565, 4195, 798, 3604, 10556, 281, 7179, 41841, 18, 365, 10666, 16, 1912, 3990, 16, 4770, 2665, 7753, 9344, 2815, 16, 374, 6980, 2828, 1154, 40367, 9118, 334, 22279, 1433, 4076, 281, 478, 37075, 861, 478, 4348, 34447, 294, 12777, 334, 2273, 288, 1306, 289, 4843 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8367, 10530, 49190, 1624, 367, 1038, 23903, 17677, 346, 26643, 1130, 2721, 34558, 18, 39663, 25084, 309, 1021, 1297, 89, 840, 7339, 16, 5273, 41330, 1234, 527, 70, 14320, 12683, 1019, 6690, 19209, 7907, 1477, 18, 478, 35485, 10093, 40429, 1021, 1297, 89, 4247, 36101, 2234, 4004, 16, 289, 2504, 322, 17970, 13501, 10845, 16, 1055, 678, 322, 5304, 13190, 649, 20495, 309, 20617, 1066, 35196, 282, 18088, 4267, 2618, 8191, 16, 510, 2548, 492, 18, 651, 12726, 5115, 23590, 309, 10287, 416, 11726, 617, 16, 367, 749, 19569, 19965, 17356, 537, 1176, 5638, 451, 13588, 350, 322, 33446, 35542, 1574, 2695, 861, 2, 1, 87, 1456, 81, 2448, 30, 471, 46625, 38547, 2665, 470, 13349, 364, 478, 18306, 470, 290, 16115, 6622, 9744, 282, 4301, 12755, 28361, 2973, 24951, 40429, 309, 20432, 289, 35185, 7179, 8697, 18, 365, 19862, 4365, 1428, 1484, 15833, 16, 374, 9744, 1698, 6886, 726, 282, 13673, 4701, 18, 478, 46625, 38547, 470, 282, 4542, 45214, 15279, 29788, 290, 970, 16, 374, 322, 12557, 17548, 874, 41476, 16, 289, 37833, 360, 478, 37075, 470, 38487, 22225, 18, 28616, 7501, 3236, 16, 374, 7933, 3793, 9744, 40769, 2539, 530, 683, 991, 454, 1333, 282, 1335, 22534, 18, 31224, 30, 471, 46625, 38547, 2665, 470, 18946, 478, 18306, 272, 470, 21283, 16115, 6622, 9744, 18, 1367, 803, 2815, 46984, 2684, 1887, 12456, 43903, 478, 18306, 470, 3720, 16640, 18, 478, 15883, 478, 18306, 470, 309, 1595, 10159, 3619, 360, 478, 46625, 1041, 431, 2665, 470, 21283, 290, 16115, 6622, 9744, 282, 4301, 12755, 28361, 2973, 24951, 40429, 309, 31438, 289, 35185, 8697, 18, 26361, 339, 870, 9744, 5848, 282, 13673, 4701, 910, 510, 1109, 16640, 18, 1563, 10502, 4365, 16090, 11661, 19900, 294, 7786, 30806, 16, 5542, 6954, 16, 374, 329, 1047, 1617, 9118, 309, 870, 19934, 18, 478, 684, 9747, 5196, 2879, 34065, 478, 275, 881, 413, 309, 9060, 636, 470, 281, 2759, 8738, 46626, 355, 18, 478, 46625, 38547, 470, 35270, 2712, 478, 18306, 470, 309, 9155, 16, 374, 322, 12557, 49549, 1558, 41476, 910, 510, 5130, 282, 9907, 309, 7759, 478, 46625, 1041, 431, 470, 282, 469, 40484, 18, 478, 46625, 38547, 470, 35270, 2712, 478, 18306, 470, 309, 9155, 16, 374, 322, 12557, 17548, 874, 41476, 18, 478, 30674, 924, 16, 656, 31722, 478, 18306, 272, 470, 21600, 290, 16685, 298, 11001, 2503, 18, 640, 9155, 16, 9121, 16, 840, 8271, 9488, 15230, 10120, 17771, 3784, 910, 510, 7332, 3781, 17, 9952, 2241, 1694, 8300, 42714, 8840, 2241, 20888, 6873, 24009, 18, 4756, 478, 18306, 470, 18946, 478, 46625, 38547, 272, 470, 31373, 47585, 290, 3998, 12755, 28361, 2973, 40429, 309, 31438, 289, 35185, 8697, 282, 37553, 277, 1212, 17771, 287, 452, 16, 1029, 4039, 3750, 10954, 2159, 3003, 334, 19665, 3756, 497, 3399, 1251, 27383, 18, 6158, 16435, 300, 478, 18306, 470, 36089, 4843, 24, 16, 15009, 5096, 349, 1565, 17730, 454, 22342, 3314, 32873, 8697, 541, 2273, 288, 1004, 18, 4756, 1551, 16435, 300, 478, 46625, 38547, 470, 18692, 478, 18306, 272, 470, 2734, 1033, 4843, 22, 5096, 349, 31438, 8697, 16, 367, 15442, 334, 11213, 1876, 334, 20050, 478, 15306, 670, 821, 345, 470, 5009, 2022, 282, 4705, 445, 510, 519, 1032, 5096, 34184, 8697, 282, 1205, 18, 5333, 2175, 16, 334, 8872, 1949, 30852, 19186, 49611, 746, 29048, 36089, 478, 46625, 38547, 272, 470, 4843, 22, 16, 10207, 5096, 16, 367, 33035, 3785, 2879, 6273, 294, 11213, 1876, 8697, 411, 1175, 18, 478, 18306, 470, 16328, 42800, 16545, 281, 3003, 17771, 3784, 16, 367, 5747, 2815, 290, 48728, 1841, 310, 8239, 18, 2949, 924, 16, 4365, 16090, 9473, 411, 17, 431, 14236, 2797, 267, 11383, 1443, 49432, 40228, 2303, 16, 367, 2512, 2780, 21261, 32416, 40429, 281, 478, 46625, 38547, 304, 861, 2511, 3990, 5037, 478, 37075, 470, 6096, 36439, 25495, 7638, 17, 2168, 6926, 50066, 9441, 14457, 1624, 374, 4126, 32416, 40429, 895, 13898, 430, 16, 25, 17, 22, 779, 18, 824, 505, 3163, 16, 4365, 16090, 5678, 309, 2089, 21743, 16, 753, 8945, 20134, 46724, 16, 453, 428, 478, 46625, 38547, 470, 2815, 16, 374, 519, 3915, 3193, 40429, 309, 9185, 4075, 37553, 277, 718, 17771, 3784, 15279, 15343, 3058, 281, 7179, 2303, 4593, 41841, 764, 1293, 13814, 4662, 18, 30491, 478, 46625, 1041, 431, 470, 6711, 808, 2158, 1576, 857, 16, 374, 20015, 37833, 281, 478, 37075, 470, 2364, 4843, 2932, 5096, 334, 35185, 1147, 39690, 18, 478, 18229, 16, 282, 2567, 4190, 541, 813, 870, 41476, 10191, 30718, 33842, 758, 16, 322, 4550, 17194, 758, 281, 12402, 4947, 4611, 16, 289, 478, 18306, 470, 5962, 3003, 290, 3998, 12755, 28361, 2973, 40429, 282, 40449, 4666, 1248, 37553, 277, 778, 26311, 910, 510, 9299, 36439, 18, 817, 13744, 16, 374, 478, 18306, 470, 726, 13875, 32463, 1066, 334, 47218, 309, 31438, 8697, 309, 13012, 16, 519, 3915, 3990, 840, 424, 2334, 1841, 310, 16335, 334, 47218, 309, 35185, 289, 25760, 8087, 19261, 28361, 2973, 40429, 282, 36508, 4666, 18, 478, 4348, 16, 749, 9012, 16, 4660, 3559, 16, 374, 282, 4301, 3741, 7649, 13816, 37553, 277, 778, 26311, 9358, 341, 6170, 8262, 5158, 7405, 4546, 910, 510, 41274, 3064, 492, 18, 7249, 309, 28846, 12755, 28361, 2973, 9105, 16, 1963, 1698, 21377, 567, 7316, 48236, 547, 4666, 289, 334, 4506, 1147, 2618, 5133, 18894, 567, 475, 764, 39304, 37390, 5836, 16, 31272, 37890, 3633, 2700, 11465, 16, 334, 10744, 277, 478, 37075, 910, 23144, 7405, 4546, 16, 23751, 29846, 6357, 30345, 2241, 1021, 44186, 33595, 23154, 3565, 657, 3720, 504, 14850, 2931, 18, 2046, 16, 334, 4734, 34361, 16, 309, 2204, 11265, 18091, 4998, 10343, 297, 2155, 14889, 322, 2353, 18, 385, 9752, 924, 16, 374, 19261, 28361, 2973, 25102, 895, 1103, 31451, 519, 430, 16, 25, 986, 16, 481, 16, 1381, 27721, 16, 840, 3964, 322, 15728, 4765, 1949, 6271, 18, 824, 3538, 3839, 2973, 13109, 5708, 8900, 289, 37965, 10144, 309, 4862, 473, 11765, 26155, 779, 13, 478, 46625, 38547, 470, 3147, 895, 16409, 2153, 28169, 454, 16, 5273, 504, 14850, 2931, 18, 4530, 867, 6980, 10565, 4195, 798, 3604, 10556, 281, 7179, 41841, 18, 365, 10666, 16, 1912, 3990, 16, 4770, 2665, 7753, 9344, 2815, 16, 374, 6980, 2828, 1154, 40367, 9118, 334, 22279, 1433, 4076, 281, 478, 37075, 861, 478, 4348, 34447, 294, 12777, 334, 2273, 288, 1306, 289, 4843 ]
[ 24, 16, 26, 5096, 510, 481, 4982, 13155, 6171, 16, 1029, 9805, 478, 18306, 470, 1943, 40825, 4862, 655, 478, 18306, 470, 22863, 281, 6524, 2389, 334, 15166, 5129, 4076, 282, 4356, 478, 46625, 1041, 431, 861, 889, 5773, 1794, 320, 10369, 315, 18, 21507, 1747, 14283, 4633, 18, 6682, 924, 16, 1715, 474, 21325, 853, 4662, 8636, 1508, 2201, 478, 18306, 470, 5383, 4045, 13951, 349, 2552, 1119, 42587, 42441, 910, 510, 15488, 9344, 18, 4756, 7638, 17, 13522, 2665, 4137, 528, 932, 33459, 25960, 8383, 1016, 24001, 1641, 32332, 1519, 281, 5821, 684, 478, 46625, 38547, 2665, 470, 3193, 334, 1158, 1147, 4820, 1100, 22240, 478, 37075, 470, 334, 4547, 8290, 371, 35550, 7025, 10120, 37553, 277, 718, 17771, 3784, 18, 640, 8011, 1967, 5263, 9541, 17, 24339, 25510, 16742, 18532, 15488, 16, 374, 7064, 1175, 840, 22562, 478, 18306, 272, 470, 8156, 334, 2856, 11135, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 10666, 16, 2418, 3598, 16, 282, 30691, 915, 476, 8192, 43229, 4676, 4556, 9798, 7978, 2145, 282, 3507, 39172, 4048, 399, 1869, 478, 4925, 13868, 2793, 294, 4224, 32230, 8290, 18, 43884, 19713, 282, 1175, 9620, 861, 38232, 17, 9129, 303, 2145, 282, 1175, 567, 6477, 4770, 624, 17917, 343, 32870, 9271, 8382, 31384, 289, 13054, 1126, 3570, 24741, 353, 18, 365, 8372, 492, 30715, 282, 5032, 294, 1175, 16, 33978, 305, 290, 27652, 17516, 582, 16, 289, 30715, 16, 374, 22154, 10587, 30947, 34702, 16, 785, 9609, 1827, 6355, 478, 48992, 839, 21854, 861, 31224, 30, 43750, 5919, 755, 478, 6781, 431, 17516, 382, 910, 41711, 1384, 742, 4830, 17917, 343, 32870, 19209, 4048, 399, 303, 1624, 4213, 16, 1559, 3818, 20518, 18952, 2986, 28343, 48948, 349, 5975, 44091, 18, 365, 1360, 4676, 8372, 478, 4925, 13868, 2793, 294, 4224, 32230, 8290, 18, 43884, 19713, 282, 1175, 6732, 367, 470, 492, 10662, 290, 970, 16, 428, 33338, 6274, 11255, 12050, 3361, 281, 9609, 16, 515, 1559, 16, 334, 505, 3163, 16, 478, 1431, 3924, 470, 9001, 9620, 18, 1735, 453, 4048, 399, 303, 26695, 282, 438, 2414, 263, 4556, 1423, 10927, 281, 687, 374, 9272, 536, 12984, 30012, 282, 11366, 4018, 779, 282, 4572, 17, 630, 486, 44508, 16, 2319, 492, 9665, 1974, 281, 50227, 32870, 334, 9526, 3623, 5990, 304, 46503, 1305, 18, 478, 46920, 14172, 41300, 36015, 18774, 290, 2518, 763, 11993, 18, 2046, 282, 1851, 17, 299, 2083, 1728, 31858, 492, 22040, 360, 18774, 16, 15846, 5727, 309, 703, 3319, 422, 5925, 47142, 3955, 289, 11047, 1116, 14330, 6182, 5362, 18, 11566, 16, 374, 6732, 12019, 31923, 309, 703, 18, 629, 685, 939, 21794, 286, 18, 37051, 309, 36046, 7038, 4337, 5620, 16, 289, 1229, 3884, 937, 2218, 8159, 6860, 510, 5301, 5184, 18, 365, 8372, 16, 367, 1038, 282, 43163, 16, 3876, 12223, 541, 1273, 19882, 22172, 334, 722, 34689, 16, 4048, 399, 303, 10050, 16, 374, 16, 2760, 13121, 294, 4770, 2818, 13314, 16, 6732, 21910, 360, 32975, 408, 11587, 1728, 11563, 33662, 15803, 31980, 18, 3529, 16, 5301, 492, 16, 478, 918, 7737, 9422, 924, 16, 1660, 322, 23653, 861, 6831, 31096, 282, 30483, 17, 14210, 933, 11079, 16, 4048, 399, 303, 1202, 7731, 9565, 564, 9105, 334, 12823, 677, 16, 3961, 1175, 282, 47847, 7932, 282, 42752, 289, 3203, 662, 1175, 282, 38264, 18, 2949, 924, 16, 1713, 5966, 492, 17029, 289, 1500, 5809, 16, 374, 2145, 3225, 15408, 30352, 322, 17101, 1855, 741, 299, 309, 14492, 282, 33657, 18, 5181, 16, 2353, 8097, 16, 374, 15849, 282, 33657, 2756, 3348, 411, 27132, 36204, 26177, 1251, 17234, 12984, 289, 7638, 304, 16, 367, 583, 21821, 1202, 7731, 722, 10353, 2059, 411, 18241, 15406, 1728, 4770, 624, 18, 4048, 399, 303, 5301, 16, 374, 16, 785, 492, 282, 4440, 1045, 3619, 20482, 48948, 282, 6551, 16, 478, 267, 19444, 424, 1723, 332, 861, 6732, 726, 2815, 290, 3177, 22704, 309, 4770, 778, 3059, 16, 367, 583, 4048, 399, 303, 10050, 16, 374, 329, 7179, 15465, 478, 919, 435, 2950, 48124, 470, 282, 4599, 478, 6781, 431, 17516, 382, 861, 478, 1358, 1559, 48948, 541, 21814, 27652, 17516, 382, 16, 289, 4226, 978, 417, 8624, 2823, 309, 722, 568, 12358, 910, 510, 5301, 36971, 18, 11849, 27652, 17516, 382, 3655, 19713, 2145, 7757, 282, 5296, 478, 6781, 17516, 382, 470, 510, 1717, 2089, 12668, 334, 35633, 21754, 5162, 309, 14560, 1873, 6803, 582, 16, 2588, 41176, 7410, 11896, 33742, 26319, 272, 768, 15044, 312, 37701, 1624, 2412, 4749, 309, 2083, 25067, 478, 16875, 6569, 470, 1251, 9609, 289, 2145, 3059, 1087, 38402, 18, 365, 8372, 4048, 399, 303, 4601, 1788, 16, 374, 1559, 22659, 7583, 27738, 477, 1963, 26643, 16, 2486, 4434, 6833, 505, 282, 13148, 478, 49937, 1406, 9377, 470, 282, 3507, 18, 632, 22020, 20011, 281, 48948, 32026, 2197, 411, 505, 6866, 478, 11825, 18, 18411, 6037, 13438, 23607, 910, 5267, 1754, 10624, 4110, 505, 21680, 3056, 16, 367, 1038, 19610, 24484, 4765, 281, 8448, 2206, 282, 14520, 22969, 2145, 282, 11500, 4018, 779, 18, 824, 43765, 12068, 583, 4048, 399, 303, 10662, 16, 374, 18406, 322, 22345, 20358, 21450, 281, 8448, 876, 7923, 282, 5487, 4701, 1728, 27056, 16, 2686, 8811, 1355, 19412, 505, 18, 2263, 492, 5301, 16, 374, 322, 939, 31674, 8180, 5358, 2339, 16, 2686, 2548, 16, 374, 33905, 745, 478, 412, 8559, 400, 695, 910, 1830, 870, 5790, 6984, 478, 25039, 368, 485, 8534, 541, 30483, 17, 14210, 933, 7080, 289, 541, 703, 5112, 861, 20670, 17941, 411, 22969, 26721, 17344, 289, 4048, 399, 1869, 40343, 19536, 448, 14374, 18, 4712, 274, 749, 15860, 16, 1830, 639, 2702, 12688, 16, 4048, 399, 303, 7304, 17451, 360, 40124, 18366, 32153, 13954, 289, 935, 36577, 282, 33219, 478, 488, 2135, 8768, 861, 3923, 16, 492, 1745, 322, 2963, 39110, 6551, 510, 3861, 1453, 773, 1694, 45704, 1472, 10108, 32153, 13954, 16, 367, 322, 1175, 282, 5329, 16, 515, 1011, 978, 21680, 3056, 4732, 12498, 4048, 399, 1869, 478, 2796, 45036, 304, 861, 4048, 399, 303, 5301, 16, 374, 785, 505, 12177, 478, 1431, 3924, 1175, 910, 492, 24767, 481, 428, 478, 1334, 539, 40672, 861, 478, 1358, 8617, 6551, 18, 629, 322, 685, 537, 1765, 45036, 304, 16, 537, 7417, 304, 478, 36337, 416, 2793, 470, 910, 510, 282, 8372, 492, 22985, 16, 374, 1717, 492, 1842, 1060, 2823, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24, 16, 26, 5096, 510, 481, 4982, 13155, 6171, 16, 1029, 9805, 478, 18306, 470, 1943, 40825, 4862, 655, 478, 18306, 470, 22863, 281, 6524, 2389, 334, 15166, 5129, 4076, 282, 4356, 478, 46625, 1041, 431, 861, 889, 5773, 1794, 320, 10369, 315, 18, 21507, 1747, 14283, 4633, 18, 6682, 924, 16, 1715, 474, 21325, 853, 4662, 8636, 1508, 2201, 478, 18306, 470, 5383, 4045, 13951, 349, 2552, 1119, 42587, 42441, 910, 510, 15488, 9344, 18, 4756, 7638, 17, 13522, 2665, 4137, 528, 932, 33459, 25960, 8383, 1016, 24001, 1641, 32332, 1519, 281, 5821, 684, 478, 46625, 38547, 2665, 470, 3193, 334, 1158, 1147, 4820, 1100, 22240, 478, 37075, 470, 334, 4547, 8290, 371, 35550, 7025, 10120, 37553, 277, 718, 17771, 3784, 18, 640, 8011, 1967, 5263, 9541, 17, 24339, 25510, 16742, 18532, 15488, 16, 374, 7064, 1175, 840, 22562, 478, 18306, 272, 470, 8156, 334, 2856, 11135, 18, 2, 1, 87, 1456, 81, 2448, 30, 677, 10666, 16, 2418, 3598, 16, 282, 30691, 915, 476, 8192, 43229, 4676, 4556, 9798, 7978, 2145, 282, 3507, 39172, 4048, 399, 1869, 478, 4925, 13868, 2793, 294, 4224, 32230, 8290, 18, 43884, 19713, 282, 1175, 9620, 861, 38232, 17, 9129, 303, 2145, 282, 1175, 567, 6477, 4770, 624, 17917, 343, 32870, 9271, 8382, 31384, 289, 13054, 1126, 3570, 24741, 353, 18, 365, 8372, 492, 30715, 282, 5032, 294, 1175, 16, 33978, 305, 290, 27652, 17516, 582, 16, 289, 30715, 16, 374, 22154, 10587, 30947, 34702, 16, 785, 9609, 1827, 6355, 478, 48992, 839, 21854, 861, 31224, 30, 43750, 5919, 755, 478, 6781, 431, 17516, 382, 910, 41711, 1384, 742, 4830, 17917, 343, 32870, 19209, 4048, 399, 303, 1624, 4213, 16, 1559, 3818, 20518, 18952, 2986, 28343, 48948, 349, 5975, 44091, 18, 365, 1360, 4676, 8372, 478, 4925, 13868, 2793, 294, 4224, 32230, 8290, 18, 43884, 19713, 282, 1175, 6732, 367, 470, 492, 10662, 290, 970, 16, 428, 33338, 6274, 11255, 12050, 3361, 281, 9609, 16, 515, 1559, 16, 334, 505, 3163, 16, 478, 1431, 3924, 470, 9001, 9620, 18, 1735, 453, 4048, 399, 303, 26695, 282, 438, 2414, 263, 4556, 1423, 10927, 281, 687, 374, 9272, 536, 12984, 30012, 282, 11366, 4018, 779, 282, 4572, 17, 630, 486, 44508, 16, 2319, 492, 9665, 1974, 281, 50227, 32870, 334, 9526, 3623, 5990, 304, 46503, 1305, 18, 478, 46920, 14172, 41300, 36015, 18774, 290, 2518, 763, 11993, 18, 2046, 282, 1851, 17, 299, 2083, 1728, 31858, 492, 22040, 360, 18774, 16, 15846, 5727, 309, 703, 3319, 422, 5925, 47142, 3955, 289, 11047, 1116, 14330, 6182, 5362, 18, 11566, 16, 374, 6732, 12019, 31923, 309, 703, 18, 629, 685, 939, 21794, 286, 18, 37051, 309, 36046, 7038, 4337, 5620, 16, 289, 1229, 3884, 937, 2218, 8159, 6860, 510, 5301, 5184, 18, 365, 8372, 16, 367, 1038, 282, 43163, 16, 3876, 12223, 541, 1273, 19882, 22172, 334, 722, 34689, 16, 4048, 399, 303, 10050, 16, 374, 16, 2760, 13121, 294, 4770, 2818, 13314, 16, 6732, 21910, 360, 32975, 408, 11587, 1728, 11563, 33662, 15803, 31980, 18, 3529, 16, 5301, 492, 16, 478, 918, 7737, 9422, 924, 16, 1660, 322, 23653, 861, 6831, 31096, 282, 30483, 17, 14210, 933, 11079, 16, 4048, 399, 303, 1202, 7731, 9565, 564, 9105, 334, 12823, 677, 16, 3961, 1175, 282, 47847, 7932, 282, 42752, 289, 3203, 662, 1175, 282, 38264, 18, 2949, 924, 16, 1713, 5966, 492, 17029, 289, 1500, 5809, 16, 374, 2145, 3225, 15408, 30352, 322, 17101, 1855, 741, 299, 309, 14492, 282, 33657, 18, 5181, 16, 2353, 8097, 16, 374, 15849, 282, 33657, 2756, 3348, 411, 27132, 36204, 26177, 1251, 17234, 12984, 289, 7638, 304, 16, 367, 583, 21821, 1202, 7731, 722, 10353, 2059, 411, 18241, 15406, 1728, 4770, 624, 18, 4048, 399, 303, 5301, 16, 374, 16, 785, 492, 282, 4440, 1045, 3619, 20482, 48948, 282, 6551, 16, 478, 267, 19444, 424, 1723, 332, 861, 6732, 726, 2815, 290, 3177, 22704, 309, 4770, 778, 3059, 16, 367, 583, 4048, 399, 303, 10050, 16, 374, 329, 7179, 15465, 478, 919, 435, 2950, 48124, 470, 282, 4599, 478, 6781, 431, 17516, 382, 861, 478, 1358, 1559, 48948, 541, 21814, 27652, 17516, 382, 16, 289, 4226, 978, 417, 8624, 2823, 309, 722, 568, 12358, 910, 510, 5301, 36971, 18, 11849, 27652, 17516, 382, 3655, 19713, 2145, 7757, 282, 5296, 478, 6781, 17516, 382, 470, 510, 1717, 2089, 12668, 334, 35633, 21754, 5162, 309, 14560, 1873, 6803, 582, 16, 2588, 41176, 7410, 11896, 33742, 26319, 272, 768, 15044, 312, 37701, 1624, 2412, 4749, 309, 2083, 25067, 478, 16875, 6569, 470, 1251, 9609, 289, 2145, 3059, 1087, 38402, 18, 365, 8372, 4048, 399, 303, 4601, 1788, 16, 374, 1559, 22659, 7583, 27738, 477, 1963, 26643, 16, 2486, 4434, 6833, 505, 282, 13148, 478, 49937, 1406, 9377, 470, 282, 3507, 18, 632, 22020, 20011, 281, 48948, 32026, 2197, 411, 505, 6866, 478, 11825, 18, 18411, 6037, 13438, 23607, 910, 5267, 1754, 10624, 4110, 505, 21680, 3056, 16, 367, 1038, 19610, 24484, 4765, 281, 8448, 2206, 282, 14520, 22969, 2145, 282, 11500, 4018, 779, 18, 824, 43765, 12068, 583, 4048, 399, 303, 10662, 16, 374, 18406, 322, 22345, 20358, 21450, 281, 8448, 876, 7923, 282, 5487, 4701, 1728, 27056, 16, 2686, 8811, 1355, 19412, 505, 18, 2263, 492, 5301, 16, 374, 322, 939, 31674, 8180, 5358, 2339, 16, 2686, 2548, 16, 374, 33905, 745, 478, 412, 8559, 400, 695, 910, 1830, 870, 5790, 6984, 478, 25039, 368, 485, 8534, 541, 30483, 17, 14210, 933, 7080, 289, 541, 703, 5112, 861, 20670, 17941, 411, 22969, 26721, 17344, 289, 4048, 399, 1869, 40343, 19536, 448, 14374, 18, 4712, 274, 749, 15860, 16, 1830, 639, 2702, 12688, 16, 4048, 399, 303, 7304, 17451, 360, 40124, 18366, 32153, 13954, 289, 935, 36577, 282, 33219, 478, 488, 2135, 8768, 861, 3923, 16, 492, 1745, 322, 2963, 39110, 6551, 510, 3861, 1453, 773, 1694, 45704, 1472, 10108, 32153, 13954, 16, 367, 322, 1175, 282, 5329, 16, 515, 1011, 978, 21680, 3056, 4732, 12498, 4048, 399, 1869, 478, 2796, 45036, 304, 861, 4048, 399, 303, 5301, 16, 374, 785, 505, 12177, 478, 1431, 3924, 1175, 910, 492, 24767, 481, 428, 478, 1334, 539, 40672, 861, 478, 1358, 8617, 6551, 18, 629, 322, 685, 537, 1765, 45036, 304, 16, 537, 7417, 304, 478, 36337, 416, 2793, 470, 910, 510, 282, 8372, 492, 22985, 16, 374, 1717, 492, 1842, 1060, 2823, 282 ]
[ 4279, 750, 8180, 32870, 282, 1754, 17930, 290, 478, 27438, 416, 289, 21893, 2545, 470, 1175, 510, 21365, 298, 2145, 18, 4824, 411, 7725, 1051, 478, 32485, 18, 8381, 470, 282, 48619, 16, 2669, 5358, 1815, 281, 1479, 19659, 10744, 353, 282, 4459, 2145, 16, 30715, 16, 374, 478, 5218, 364, 4048, 399, 1869, 11593, 478, 11233, 16724, 281, 1498, 14833, 16, 16724, 17718, 510, 492, 685, 7623, 861, 832, 10265, 11180, 536, 9985, 496, 16, 4048, 399, 303, 8847, 16, 374, 492, 840, 2286, 1235, 282, 478, 2583, 416, 49808, 861, 478, 11233, 322, 1513, 639, 6713, 6034, 290, 34359, 273, 1153, 16, 15750, 1165, 16, 36265, 670, 19179, 404, 18, 629, 2946, 5600, 1512, 282, 1175, 16, 282, 970, 2875, 25545, 4436, 14886, 282, 21989, 16, 6842, 19193, 16, 11630, 16934, 1624, 14824, 289, 13573, 26721, 2496, 38692, 910, 510, 6443, 11350, 17, 9129, 303, 18, 365, 1175, 4048, 399, 303, 2826, 2963, 953, 478, 13775, 406, 282, 32169, 910, 289, 492, 322, 687, 25384, 1166, 937, 3483, 4490, 309, 4625, 1570, 318, 16, 515, 289, 4296, 17757, 5324, 16, 7556, 30657, 8957, 477, 3319, 8941, 3317, 289, 1565, 344, 4455, 18, 2046, 475, 481, 34157, 282, 3507, 1472, 26092, 16, 367, 4226, 478, 14348, 5919, 1347, 27652, 17516, 382, 470, 4048, 399, 303, 18236, 282, 4837, 21569, 282, 478, 14348, 5919, 1347, 19717, 1406, 9377, 861, 478, 5798, 417, 685, 48948, 16, 703, 4434, 2853, 282, 970, 16, 374, 417, 478, 1225, 645, 19717, 1406, 9377, 470, 289, 374, 703, 37749, 16, 753, 3819, 10125, 5494, 9620, 18, 11896, 19346, 7910, 1066, 16, 753, 477, 2924, 322, 19553, 10172, 5439, 18, 13369, 4042, 16336, 4265, 29061, 322, 7099, 703, 910, 510, 3153, 4419, 583, 4048, 399, 303, 282, 7337, 478, 46088, 18, 8381, 861, 478, 1358, 685, 322, 7084, 304, 3782, 431, 17516, 343, 16, 367, 41458, 17, 28845, 1214, 2610, 30, 34316, 334, 4861, 7715, 16, 16236, 536, 1367, 395, 323, 16, 753, 13848, 18506, 10342, 18, 2667, 3915, 4158, 13811, 282, 1175, 282, 3106, 7978, 417, 41364, 1715, 2552, 1119, 16, 753, 4853, 990, 1177, 13804, 510, 289, 20890, 322, 40879, 310, 910, 510, 5301, 492, 282, 1360, 4676, 8372, 18, 2046, 16, 43749, 30280, 8885, 277, 7978, 4048, 399, 1869, 16, 12987, 334, 1175, 8942, 30851, 31251, 41023, 1870, 447, 28456, 10050, 282, 1360, 25232, 3199, 309, 6931, 16, 374, 33975, 11350, 17, 9129, 332, 687, 478, 324, 911, 291, 888, 4057, 10033, 861, 365, 3106, 15463, 1360, 6688, 492, 7332, 1694, 4048, 399, 1869, 16, 856, 2906, 773, 290, 4830, 292, 6070, 263, 22931, 390, 546, 289, 5449, 409, 20917, 321, 1153, 1624, 961, 7650, 478, 14210, 1880, 49564, 478, 404, 1548, 16, 374, 745, 3885, 2853, 16775, 14399, 289, 10855, 16, 367, 1548, 16, 374, 870, 10933, 21854, 898, 35990, 861, 2, 1, 87, 1456, 81, 2448, 30, 13571, 3915, 2801, 779, 18168, 30885, 33460, 1948, 7558, 289, 381, 23814, 8889, 18, 365, 14757, 3675, 3765, 4275, 412, 3847, 289, 4521, 18604, 4364, 13029, 1979, 24628, 510, 1195, 26150, 19483, 285, 1886, 19107, 16, 4783, 1463, 6978, 289, 10222, 8889, 18, 14587, 4701, 4090, 779, 42139, 16014, 39067, 13780, 16, 49170, 13535, 289, 281, 379, 405, 12411, 309, 22908, 18, 31224, 30, 563, 49194, 19775, 16, 7108, 36167, 5229, 309, 7522, 282, 11946, 289, 44422, 36173, 1332, 16, 322, 46449, 341, 1143, 5303, 10208, 18, 824, 5833, 3538, 282, 13673, 4701, 18, 365, 10882, 281, 9443, 304, 3982, 7385, 18457, 15969, 14734, 382, 2010, 37082, 16, 13737, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 861, 11662, 448, 8889, 4290, 700, 411, 10208, 45060, 16, 367, 1948, 7558, 16379, 4783, 1954, 18, 1787, 1110, 16, 1085, 7281, 41115, 9264, 7928, 289, 322, 15546, 12504, 291, 16, 3240, 808, 18603, 349, 1332, 289, 13556, 1676, 309, 43620, 4038, 8482, 18, 365, 10882, 5426, 19988, 519, 376, 2783, 655, 17, 2479, 5448, 39, 16, 334, 1767, 519, 376, 3940, 655, 17, 29, 5448, 39, 18, 365, 8785, 539, 808, 9909, 1556, 818, 382, 24102, 27282, 43957, 360, 376, 2479, 519, 376, 28, 5448, 39, 16, 334, 1767, 510, 360, 376, 2783, 519, 376, 27, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 282, 11683, 14471, 510, 1409, 9247, 6322, 941, 266, 18, 422, 18, 365, 11877, 3187, 2234, 5549, 36570, 424, 7957, 3806, 11972, 15969, 16, 1029, 27415, 2702, 2962, 668, 22961, 18, 40196, 9265, 17, 14099, 434, 11315, 14481, 816, 443, 26, 308, 19, 267, 18, 365, 32157, 808, 9909, 12412, 26968, 847, 519, 376, 3420, 655, 17, 2783, 5448, 39, 18, 25740, 19988, 519, 376, 2479, 655, 17, 25, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 2961, 267, 847, 519, 1409, 6837, 6322, 941, 266, 18, 422, 18, 365, 3765, 281, 9671, 276, 309, 11084, 840, 10916, 14612, 48923, 12504, 549, 17395, 18, 2046, 7760, 282, 9516, 1195, 26150, 719, 44572, 19107, 16, 367, 282, 4729, 12937, 8192, 6197, 3304, 35754, 18, 27247, 1556, 818, 382, 24102, 27282, 26968, 1886, 519, 376, 3114, 655, 17, 2479, 5448, 39, 18, 25740, 4275, 412, 3847, 29865, 360, 376, 2479, 519, 376, 28, 5448, 39, 16, 334, 1767, 360, 376, 2783, 519, 376, 27, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 35917, 282, 33884, 289, 50032, 309, 2581, 582, 1409, 8725, 6322, 941, 266, 18, 422, 18, 16424, 25255, 834, 1344, 282, 18168, 8889, 18, 365, 10666, 11711, 4534, 3118, 36570, 424, 7957, 48826, 18457, 15969, 18, 45394, 813, 20427, 9871, 10812, 549, 16, 281, 18627, 25454, 18, 2046, 16419, 309, 47367, 12504, 291, 322, 2353, 18, 23544, 39666, 2159, 10895, 309, 5211, 539, 18, 2320, 7872, 14481, 816, 443, 26, 308, 19, 267, 18, 27247, 840, 519, 376, 3114, 655, 17, 2479, 5448, 39, 16, 7760, 510, 519, 376, 4234, 655, 17, 28, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 12998, 31846, 510, 1409, 8400, 6322, 941, 266, 18, 422, 18, 1591, 12241, 16, 2555, 3972, 16, 8889, 19775, 2500, 10695, 1344, 18, 36748, 282, 34828, 808, 840, 360, 376, 3902, 519, 376, 3572, 5448, 39, 16, 282, 8785, 539, 510, 360, 376, 3940, 519, 376, 29, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 424, 19001, 305, 519, 1409, 9247, 6322, 941, 266, 18, 422, 18, 365, 9937, 16, 4722, 1119, 3554, 6090, 779, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4279, 750, 8180, 32870, 282, 1754, 17930, 290, 478, 27438, 416, 289, 21893, 2545, 470, 1175, 510, 21365, 298, 2145, 18, 4824, 411, 7725, 1051, 478, 32485, 18, 8381, 470, 282, 48619, 16, 2669, 5358, 1815, 281, 1479, 19659, 10744, 353, 282, 4459, 2145, 16, 30715, 16, 374, 478, 5218, 364, 4048, 399, 1869, 11593, 478, 11233, 16724, 281, 1498, 14833, 16, 16724, 17718, 510, 492, 685, 7623, 861, 832, 10265, 11180, 536, 9985, 496, 16, 4048, 399, 303, 8847, 16, 374, 492, 840, 2286, 1235, 282, 478, 2583, 416, 49808, 861, 478, 11233, 322, 1513, 639, 6713, 6034, 290, 34359, 273, 1153, 16, 15750, 1165, 16, 36265, 670, 19179, 404, 18, 629, 2946, 5600, 1512, 282, 1175, 16, 282, 970, 2875, 25545, 4436, 14886, 282, 21989, 16, 6842, 19193, 16, 11630, 16934, 1624, 14824, 289, 13573, 26721, 2496, 38692, 910, 510, 6443, 11350, 17, 9129, 303, 18, 365, 1175, 4048, 399, 303, 2826, 2963, 953, 478, 13775, 406, 282, 32169, 910, 289, 492, 322, 687, 25384, 1166, 937, 3483, 4490, 309, 4625, 1570, 318, 16, 515, 289, 4296, 17757, 5324, 16, 7556, 30657, 8957, 477, 3319, 8941, 3317, 289, 1565, 344, 4455, 18, 2046, 475, 481, 34157, 282, 3507, 1472, 26092, 16, 367, 4226, 478, 14348, 5919, 1347, 27652, 17516, 382, 470, 4048, 399, 303, 18236, 282, 4837, 21569, 282, 478, 14348, 5919, 1347, 19717, 1406, 9377, 861, 478, 5798, 417, 685, 48948, 16, 703, 4434, 2853, 282, 970, 16, 374, 417, 478, 1225, 645, 19717, 1406, 9377, 470, 289, 374, 703, 37749, 16, 753, 3819, 10125, 5494, 9620, 18, 11896, 19346, 7910, 1066, 16, 753, 477, 2924, 322, 19553, 10172, 5439, 18, 13369, 4042, 16336, 4265, 29061, 322, 7099, 703, 910, 510, 3153, 4419, 583, 4048, 399, 303, 282, 7337, 478, 46088, 18, 8381, 861, 478, 1358, 685, 322, 7084, 304, 3782, 431, 17516, 343, 16, 367, 41458, 17, 28845, 1214, 2610, 30, 34316, 334, 4861, 7715, 16, 16236, 536, 1367, 395, 323, 16, 753, 13848, 18506, 10342, 18, 2667, 3915, 4158, 13811, 282, 1175, 282, 3106, 7978, 417, 41364, 1715, 2552, 1119, 16, 753, 4853, 990, 1177, 13804, 510, 289, 20890, 322, 40879, 310, 910, 510, 5301, 492, 282, 1360, 4676, 8372, 18, 2046, 16, 43749, 30280, 8885, 277, 7978, 4048, 399, 1869, 16, 12987, 334, 1175, 8942, 30851, 31251, 41023, 1870, 447, 28456, 10050, 282, 1360, 25232, 3199, 309, 6931, 16, 374, 33975, 11350, 17, 9129, 332, 687, 478, 324, 911, 291, 888, 4057, 10033, 861, 365, 3106, 15463, 1360, 6688, 492, 7332, 1694, 4048, 399, 1869, 16, 856, 2906, 773, 290, 4830, 292, 6070, 263, 22931, 390, 546, 289, 5449, 409, 20917, 321, 1153, 1624, 961, 7650, 478, 14210, 1880, 49564, 478, 404, 1548, 16, 374, 745, 3885, 2853, 16775, 14399, 289, 10855, 16, 367, 1548, 16, 374, 870, 10933, 21854, 898, 35990, 861, 2, 1, 87, 1456, 81, 2448, 30, 13571, 3915, 2801, 779, 18168, 30885, 33460, 1948, 7558, 289, 381, 23814, 8889, 18, 365, 14757, 3675, 3765, 4275, 412, 3847, 289, 4521, 18604, 4364, 13029, 1979, 24628, 510, 1195, 26150, 19483, 285, 1886, 19107, 16, 4783, 1463, 6978, 289, 10222, 8889, 18, 14587, 4701, 4090, 779, 42139, 16014, 39067, 13780, 16, 49170, 13535, 289, 281, 379, 405, 12411, 309, 22908, 18, 31224, 30, 563, 49194, 19775, 16, 7108, 36167, 5229, 309, 7522, 282, 11946, 289, 44422, 36173, 1332, 16, 322, 46449, 341, 1143, 5303, 10208, 18, 824, 5833, 3538, 282, 13673, 4701, 18, 365, 10882, 281, 9443, 304, 3982, 7385, 18457, 15969, 14734, 382, 2010, 37082, 16, 13737, 478, 46088, 18, 8381, 470, 282, 5214, 478, 1182, 348, 397, 861, 11662, 448, 8889, 4290, 700, 411, 10208, 45060, 16, 367, 1948, 7558, 16379, 4783, 1954, 18, 1787, 1110, 16, 1085, 7281, 41115, 9264, 7928, 289, 322, 15546, 12504, 291, 16, 3240, 808, 18603, 349, 1332, 289, 13556, 1676, 309, 43620, 4038, 8482, 18, 365, 10882, 5426, 19988, 519, 376, 2783, 655, 17, 2479, 5448, 39, 16, 334, 1767, 519, 376, 3940, 655, 17, 29, 5448, 39, 18, 365, 8785, 539, 808, 9909, 1556, 818, 382, 24102, 27282, 43957, 360, 376, 2479, 519, 376, 28, 5448, 39, 16, 334, 1767, 510, 360, 376, 2783, 519, 376, 27, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 282, 11683, 14471, 510, 1409, 9247, 6322, 941, 266, 18, 422, 18, 365, 11877, 3187, 2234, 5549, 36570, 424, 7957, 3806, 11972, 15969, 16, 1029, 27415, 2702, 2962, 668, 22961, 18, 40196, 9265, 17, 14099, 434, 11315, 14481, 816, 443, 26, 308, 19, 267, 18, 365, 32157, 808, 9909, 12412, 26968, 847, 519, 376, 3420, 655, 17, 2783, 5448, 39, 18, 25740, 19988, 519, 376, 2479, 655, 17, 25, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 2961, 267, 847, 519, 1409, 6837, 6322, 941, 266, 18, 422, 18, 365, 3765, 281, 9671, 276, 309, 11084, 840, 10916, 14612, 48923, 12504, 549, 17395, 18, 2046, 7760, 282, 9516, 1195, 26150, 719, 44572, 19107, 16, 367, 282, 4729, 12937, 8192, 6197, 3304, 35754, 18, 27247, 1556, 818, 382, 24102, 27282, 26968, 1886, 519, 376, 3114, 655, 17, 2479, 5448, 39, 18, 25740, 4275, 412, 3847, 29865, 360, 376, 2479, 519, 376, 28, 5448, 39, 16, 334, 1767, 360, 376, 2783, 519, 376, 27, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 35917, 282, 33884, 289, 50032, 309, 2581, 582, 1409, 8725, 6322, 941, 266, 18, 422, 18, 16424, 25255, 834, 1344, 282, 18168, 8889, 18, 365, 10666, 11711, 4534, 3118, 36570, 424, 7957, 48826, 18457, 15969, 18, 45394, 813, 20427, 9871, 10812, 549, 16, 281, 18627, 25454, 18, 2046, 16419, 309, 47367, 12504, 291, 322, 2353, 18, 23544, 39666, 2159, 10895, 309, 5211, 539, 18, 2320, 7872, 14481, 816, 443, 26, 308, 19, 267, 18, 27247, 840, 519, 376, 3114, 655, 17, 2479, 5448, 39, 16, 7760, 510, 519, 376, 4234, 655, 17, 28, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 12998, 31846, 510, 1409, 8400, 6322, 941, 266, 18, 422, 18, 1591, 12241, 16, 2555, 3972, 16, 8889, 19775, 2500, 10695, 1344, 18, 36748, 282, 34828, 808, 840, 360, 376, 3902, 519, 376, 3572, 5448, 39, 16, 282, 8785, 539, 510, 360, 376, 3940, 519, 376, 29, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 424, 19001, 305, 519, 1409, 9247, 6322, 941, 266, 18, 422, 18, 365, 9937, 16, 4722, 1119, 3554, 6090, 779, 16 ]
[ 31702, 334, 17, 6093, 8633, 567, 2891, 28769, 7097, 18, 415, 3375, 523, 322, 36121, 847, 18, 27247, 12412, 840, 282, 3948, 376, 1618, 655, 17, 3940, 5448, 39, 16, 7760, 376, 3940, 655, 17, 29, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 2961, 267, 847, 519, 10952, 23, 6322, 941, 266, 18, 422, 18, 6126, 506, 17395, 14145, 282, 14757, 3675, 3765, 18, 385, 9839, 17, 431, 6372, 7677, 6050, 24787, 23337, 451, 12370, 18, 5228, 7558, 2500, 13826, 530, 16, 10222, 8889, 16, 4783, 1463, 6978, 18, 365, 5329, 575, 1176, 411, 10235, 24340, 11854, 840, 14218, 506, 13029, 9594, 47412, 8468, 18, 365, 11946, 16, 430, 3612, 16, 47431, 20427, 1322, 388, 18, 27247, 4275, 412, 3847, 29865, 28092, 360, 376, 3572, 519, 376, 26, 5448, 39, 18, 365, 8785, 539, 808, 1556, 818, 382, 24102, 27282, 10585, 4716, 519, 376, 25, 655, 20, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 3424, 10222, 309, 12998, 3173, 289, 14481, 1409, 8725, 6322, 941, 266, 18, 422, 18, 365, 10882, 18168, 1874, 35630, 15142, 43834, 4477, 1822, 6507, 7097, 18, 365, 34828, 808, 18604, 4364, 519, 376, 25, 655, 20, 5448, 39, 18, 25740, 12412, 895, 14310, 519, 4668, 22, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 8633, 309, 42394, 5066, 510, 1409, 8725, 6322, 941, 266, 18, 422, 18, 365, 2343, 13420, 5576, 5343, 14828, 294, 18503, 536, 20944, 4056, 11678, 3972, 18, 1258, 1643, 10208, 20427, 1537, 7630, 289, 42407, 8889, 18, 36748, 840, 309, 2852, 12762, 3230, 14471, 18, 365, 11877, 16, 816, 3612, 16, 5426, 1556, 818, 382, 24102, 27282, 43957, 376, 25, 655, 20, 5448, 39, 16, 7760, 376, 23, 655, 15, 22, 5448, 39, 16, 367, 282, 11084, 2500, 1803, 303, 540, 305, 18, 365, 32157, 808, 9909, 19988, 360, 376, 26, 519, 376, 21, 5448, 39, 16, 282, 8785, 539, 510, 360, 376, 25, 519, 2239, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 840, 16907, 536, 510, 39271, 6322, 941, 266, 18, 422, 18, 2, 1, 87, 1456, 81, 2448, 30, 1140, 1175, 282, 4675, 808, 1033, 1533, 28759, 309, 23513, 25275, 385, 17, 24342, 478, 20377, 748, 399, 470, 411, 20072, 2044, 18, 1367, 803, 2815, 5037, 20286, 5119, 334, 6798, 17, 11110, 10321, 31230, 6370, 1034, 13562, 512, 18, 365, 4675, 808, 9744, 290, 2921, 582, 25275, 31680, 281, 5154, 2206, 16, 1586, 895, 1852, 4056, 19297, 9808, 16, 988, 309, 38257, 12146, 3240, 43221, 30225, 10772, 28600, 18, 31224, 30, 630, 14244, 497, 12862, 309, 22578, 2911, 17, 48471, 668, 6138, 8508, 11358, 385, 17, 24342, 478, 20377, 748, 399, 470, 4848, 5037, 20286, 5119, 334, 6798, 17, 11110, 10321, 31230, 473, 49959, 677, 15132, 13, 1175, 6370, 1034, 13562, 512, 282, 7337, 14415, 478, 48417, 861, 985, 4725, 26363, 16, 282, 5734, 2083, 18069, 1812, 2364, 5544, 28759, 309, 31438, 10139, 18, 1034, 13562, 512, 1038, 11661, 16, 374, 282, 4675, 808, 17897, 9744, 281, 5154, 2206, 16, 1586, 16768, 8140, 282, 2921, 582, 25275, 18, 478, 6039, 3143, 4851, 4075, 282, 7253, 1767, 8302, 24706, 32700, 406, 289, 8485, 4118, 27952, 4433, 4551, 910, 510, 4725, 1034, 13562, 512, 309, 14812, 478, 7306, 21953, 17, 32008, 861, 10110, 11752, 10399, 452, 293, 40003, 20986, 4419, 3887, 300, 8343, 17227, 282, 18202, 22578, 2911, 17, 48471, 432, 25275, 385, 17, 24342, 18, 22802, 305, 549, 6819, 549, 12918, 363, 3050, 325, 11521, 549, 4461, 385, 17, 24342, 478, 20377, 748, 399, 470, 27543, 541, 22997, 1209, 9578, 289, 46688, 4076, 2290, 2620, 17, 41211, 2160, 14719, 18, 824, 34434, 9808, 870, 10933, 632, 27923, 28040, 478, 677, 350, 1616, 2535, 470, 473, 43, 11634, 12316, 814, 14247, 792, 1013, 478, 20377, 748, 399, 470, 1698, 4976, 4380, 309, 11318, 10367, 4017, 18, 385, 1335, 23837, 745, 10432, 5352, 1676, 13955, 6117, 2257, 4380, 16, 986, 5261, 477, 12494, 519, 1032, 16, 28, 4017, 19, 267, 30, 481, 1698, 953, 17106, 3171, 13436, 16, 19208, 453, 5855, 289, 8485, 1873, 15440, 473, 11838, 16, 48980, 1149, 17, 3902, 13279, 4981, 16, 281, 2024, 11277, 1775, 9637, 6320, 21894, 334, 37712, 7188, 17, 5493, 8187, 323, 715, 1052, 1753, 42761, 282, 7218, 547, 12071, 8144, 934, 367, 1038, 4940, 11724, 382, 37328, 23535, 8187, 18, 824, 4734, 8300, 31063, 9630, 478, 31742, 300, 40435, 910, 9322, 34361, 16, 19128, 35409, 17514, 6420, 2244, 17484, 16, 20562, 13551, 385, 17, 24342, 41711, 420, 2311, 35140, 6622, 9744, 290, 18202, 632, 27923, 281, 9609, 16, 367, 322, 477, 17986, 651, 28844, 334, 9808, 18, 478, 20186, 883, 5410, 868, 16, 1029, 19521, 44119, 334, 11213, 1876, 1440, 28600, 31934, 3193, 16, 17060, 9807, 477, 2200, 632, 27923, 1021, 53, 17, 29, 16, 515, 481, 16, 334, 8331, 1101, 16, 27811, 764, 16190, 632, 27923, 385, 17, 18442, 910, 510, 9848, 12681, 12189, 18, 12280, 8097, 16, 374, 4419, 40225, 8266, 282, 11752, 8278, 332, 25254, 4461, 19714, 1566, 1050, 18, 2046, 282, 4722, 1205, 12456, 6937, 17917, 343, 32870, 29083, 898, 43412, 1007, 282, 2145, 309, 12917, 516, 18071, 289, 453, 289, 322, 898, 2760, 7372, 5187, 18, 33465, 19714, 1566, 1050, 7832, 294, 2222, 575, 34409, 16, 374, 289, 385, 17, 24342, 16, 515, 37067, 975, 334, 17188, 26630, 18, 1178, 478, 20377, 748, 399, 470, 8908, 5352, 1676, 3511, 273, 2292, 5261, 4380, 309, 13179, 360, 1061, 308, 16, 502, 13205, 895, 3624, 687, 334, 38993, 16, 1276, 31504, 309, 13179, 322, 2619, 5259, 308, 18, 2949, 924, 16, 10933, 385, 17, 24342, 1038, 1698, 3836, 1293, 16957, 8187, 16, 502, 912, 2197, 17510, 895, 4933, 10285, 1293, 16957, 9275, 9722, 18, 478, 677, 17370, 7044, 2567, 25275, 1003, 910, 510, 5273, 6420, 2244, 15334, 18, 4756, 45940, 478, 730, 1259, 26969, 4194, 15744, 470, 3720, 3129, 25104, 4848, 478, 34010, 470, 1624, 374, 11389, 309, 31438, 632, 27923, 385, 17, 24342, 11752, 764, 322, 29292, 18, 478, 684, 5394, 947, 266, 309, 31438, 11752, 385, 17, 24342, 3164, 282, 7773, 4996, 16115, 16, 515, 1055, 322, 29292, 289, 322, 15739, 282, 3941, 910, 510, 1109, 3129, 25104, 18, 365, 2343, 4189, 4770, 11752, 40003, 20986, 10218, 290, 9565, 750, 6702, 334, 2921, 582, 9609, 632, 27923, 385, 17, 24342, 18, 3747, 282, 9808, 10211, 11466, 1867, 16, 374, 23513, 10139, 510, 20383, 3732 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31702, 334, 17, 6093, 8633, 567, 2891, 28769, 7097, 18, 415, 3375, 523, 322, 36121, 847, 18, 27247, 12412, 840, 282, 3948, 376, 1618, 655, 17, 3940, 5448, 39, 16, 7760, 376, 3940, 655, 17, 29, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 2961, 267, 847, 519, 10952, 23, 6322, 941, 266, 18, 422, 18, 6126, 506, 17395, 14145, 282, 14757, 3675, 3765, 18, 385, 9839, 17, 431, 6372, 7677, 6050, 24787, 23337, 451, 12370, 18, 5228, 7558, 2500, 13826, 530, 16, 10222, 8889, 16, 4783, 1463, 6978, 18, 365, 5329, 575, 1176, 411, 10235, 24340, 11854, 840, 14218, 506, 13029, 9594, 47412, 8468, 18, 365, 11946, 16, 430, 3612, 16, 47431, 20427, 1322, 388, 18, 27247, 4275, 412, 3847, 29865, 28092, 360, 376, 3572, 519, 376, 26, 5448, 39, 18, 365, 8785, 539, 808, 1556, 818, 382, 24102, 27282, 10585, 4716, 519, 376, 25, 655, 20, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 3424, 10222, 309, 12998, 3173, 289, 14481, 1409, 8725, 6322, 941, 266, 18, 422, 18, 365, 10882, 18168, 1874, 35630, 15142, 43834, 4477, 1822, 6507, 7097, 18, 365, 34828, 808, 18604, 4364, 519, 376, 25, 655, 20, 5448, 39, 18, 25740, 12412, 895, 14310, 519, 4668, 22, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 8633, 309, 42394, 5066, 510, 1409, 8725, 6322, 941, 266, 18, 422, 18, 365, 2343, 13420, 5576, 5343, 14828, 294, 18503, 536, 20944, 4056, 11678, 3972, 18, 1258, 1643, 10208, 20427, 1537, 7630, 289, 42407, 8889, 18, 36748, 840, 309, 2852, 12762, 3230, 14471, 18, 365, 11877, 16, 816, 3612, 16, 5426, 1556, 818, 382, 24102, 27282, 43957, 376, 25, 655, 20, 5448, 39, 16, 7760, 376, 23, 655, 15, 22, 5448, 39, 16, 367, 282, 11084, 2500, 1803, 303, 540, 305, 18, 365, 32157, 808, 9909, 19988, 360, 376, 26, 519, 376, 21, 5448, 39, 16, 282, 8785, 539, 510, 360, 376, 25, 519, 2239, 5448, 39, 18, 10655, 4133, 2549, 539, 11440, 840, 16907, 536, 510, 39271, 6322, 941, 266, 18, 422, 18, 2, 1, 87, 1456, 81, 2448, 30, 1140, 1175, 282, 4675, 808, 1033, 1533, 28759, 309, 23513, 25275, 385, 17, 24342, 478, 20377, 748, 399, 470, 411, 20072, 2044, 18, 1367, 803, 2815, 5037, 20286, 5119, 334, 6798, 17, 11110, 10321, 31230, 6370, 1034, 13562, 512, 18, 365, 4675, 808, 9744, 290, 2921, 582, 25275, 31680, 281, 5154, 2206, 16, 1586, 895, 1852, 4056, 19297, 9808, 16, 988, 309, 38257, 12146, 3240, 43221, 30225, 10772, 28600, 18, 31224, 30, 630, 14244, 497, 12862, 309, 22578, 2911, 17, 48471, 668, 6138, 8508, 11358, 385, 17, 24342, 478, 20377, 748, 399, 470, 4848, 5037, 20286, 5119, 334, 6798, 17, 11110, 10321, 31230, 473, 49959, 677, 15132, 13, 1175, 6370, 1034, 13562, 512, 282, 7337, 14415, 478, 48417, 861, 985, 4725, 26363, 16, 282, 5734, 2083, 18069, 1812, 2364, 5544, 28759, 309, 31438, 10139, 18, 1034, 13562, 512, 1038, 11661, 16, 374, 282, 4675, 808, 17897, 9744, 281, 5154, 2206, 16, 1586, 16768, 8140, 282, 2921, 582, 25275, 18, 478, 6039, 3143, 4851, 4075, 282, 7253, 1767, 8302, 24706, 32700, 406, 289, 8485, 4118, 27952, 4433, 4551, 910, 510, 4725, 1034, 13562, 512, 309, 14812, 478, 7306, 21953, 17, 32008, 861, 10110, 11752, 10399, 452, 293, 40003, 20986, 4419, 3887, 300, 8343, 17227, 282, 18202, 22578, 2911, 17, 48471, 432, 25275, 385, 17, 24342, 18, 22802, 305, 549, 6819, 549, 12918, 363, 3050, 325, 11521, 549, 4461, 385, 17, 24342, 478, 20377, 748, 399, 470, 27543, 541, 22997, 1209, 9578, 289, 46688, 4076, 2290, 2620, 17, 41211, 2160, 14719, 18, 824, 34434, 9808, 870, 10933, 632, 27923, 28040, 478, 677, 350, 1616, 2535, 470, 473, 43, 11634, 12316, 814, 14247, 792, 1013, 478, 20377, 748, 399, 470, 1698, 4976, 4380, 309, 11318, 10367, 4017, 18, 385, 1335, 23837, 745, 10432, 5352, 1676, 13955, 6117, 2257, 4380, 16, 986, 5261, 477, 12494, 519, 1032, 16, 28, 4017, 19, 267, 30, 481, 1698, 953, 17106, 3171, 13436, 16, 19208, 453, 5855, 289, 8485, 1873, 15440, 473, 11838, 16, 48980, 1149, 17, 3902, 13279, 4981, 16, 281, 2024, 11277, 1775, 9637, 6320, 21894, 334, 37712, 7188, 17, 5493, 8187, 323, 715, 1052, 1753, 42761, 282, 7218, 547, 12071, 8144, 934, 367, 1038, 4940, 11724, 382, 37328, 23535, 8187, 18, 824, 4734, 8300, 31063, 9630, 478, 31742, 300, 40435, 910, 9322, 34361, 16, 19128, 35409, 17514, 6420, 2244, 17484, 16, 20562, 13551, 385, 17, 24342, 41711, 420, 2311, 35140, 6622, 9744, 290, 18202, 632, 27923, 281, 9609, 16, 367, 322, 477, 17986, 651, 28844, 334, 9808, 18, 478, 20186, 883, 5410, 868, 16, 1029, 19521, 44119, 334, 11213, 1876, 1440, 28600, 31934, 3193, 16, 17060, 9807, 477, 2200, 632, 27923, 1021, 53, 17, 29, 16, 515, 481, 16, 334, 8331, 1101, 16, 27811, 764, 16190, 632, 27923, 385, 17, 18442, 910, 510, 9848, 12681, 12189, 18, 12280, 8097, 16, 374, 4419, 40225, 8266, 282, 11752, 8278, 332, 25254, 4461, 19714, 1566, 1050, 18, 2046, 282, 4722, 1205, 12456, 6937, 17917, 343, 32870, 29083, 898, 43412, 1007, 282, 2145, 309, 12917, 516, 18071, 289, 453, 289, 322, 898, 2760, 7372, 5187, 18, 33465, 19714, 1566, 1050, 7832, 294, 2222, 575, 34409, 16, 374, 289, 385, 17, 24342, 16, 515, 37067, 975, 334, 17188, 26630, 18, 1178, 478, 20377, 748, 399, 470, 8908, 5352, 1676, 3511, 273, 2292, 5261, 4380, 309, 13179, 360, 1061, 308, 16, 502, 13205, 895, 3624, 687, 334, 38993, 16, 1276, 31504, 309, 13179, 322, 2619, 5259, 308, 18, 2949, 924, 16, 10933, 385, 17, 24342, 1038, 1698, 3836, 1293, 16957, 8187, 16, 502, 912, 2197, 17510, 895, 4933, 10285, 1293, 16957, 9275, 9722, 18, 478, 677, 17370, 7044, 2567, 25275, 1003, 910, 510, 5273, 6420, 2244, 15334, 18, 4756, 45940, 478, 730, 1259, 26969, 4194, 15744, 470, 3720, 3129, 25104, 4848, 478, 34010, 470, 1624, 374, 11389, 309, 31438, 632, 27923, 385, 17, 24342, 11752, 764, 322, 29292, 18, 478, 684, 5394, 947, 266, 309, 31438, 11752, 385, 17, 24342, 3164, 282, 7773, 4996, 16115, 16, 515, 1055, 322, 29292, 289, 322, 15739, 282, 3941, 910, 510, 1109, 3129, 25104, 18, 365, 2343, 4189, 4770, 11752, 40003, 20986, 10218, 290, 9565, 750, 6702, 334, 2921, 582, 9609, 632, 27923, 385, 17, 24342, 18, 3747, 282, 9808, 10211, 11466, 1867, 16, 374, 23513, 10139, 510, 20383, 3732 ]
[ 1743, 11752, 16, 282, 1375, 1528, 34046, 15833, 16, 374, 329, 2553, 1698, 22876, 3860, 16, 453, 428, 5851, 322, 4153, 8931, 281, 309, 712, 3334, 5163, 2389, 18, 12280, 8097, 16, 374, 282, 1175, 1038, 7616, 268, 17148, 10302, 294, 13486, 25275, 385, 17, 24342, 11752, 16, 14517, 22070, 4004, 11065, 7080, 281, 1335, 19297, 18, 769, 5650, 11526, 3756, 27663, 272, 23061, 29694, 6106, 1624, 11281, 9, 5303, 1175, 6881, 16, 374, 24829, 15131, 17899, 11752, 2174, 5472, 18, 2706, 9, 6881, 16790, 8187, 385, 17, 24342, 1335, 4008, 42440, 3851, 18, 365, 1750, 827, 29517, 7391, 305, 329, 1175, 29083, 385, 17, 24342, 16, 502, 678, 322, 840, 4056, 19297, 9808, 16, 329, 1754, 912, 309, 38257, 10933, 22578, 7392, 2926, 18, 33465, 26034, 11358, 385, 17, 18442, 2353, 309, 38257, 329, 13613, 16, 1586, 30112, 9588, 329, 3874, 28083, 16, 1029, 282, 1423, 3678, 13594, 697, 329, 1175, 18, 2, 1, 87, 1456, 81, 2448, 30, 31971, 3082, 7225, 2665, 20672, 2227, 299, 947, 685, 32603, 6173, 19589, 890, 18083, 41165, 718, 290, 970, 16, 374, 13013, 282, 14039, 510, 481, 44313, 6888, 18, 824, 4734, 9362, 16, 34839, 13173, 16, 1085, 289, 428, 21518, 305, 282, 9804, 18, 985, 17, 3697, 31127, 1694, 41165, 718, 2227, 299, 947, 9473, 18, 31224, 30, 31971, 3082, 7225, 2665, 20672, 2227, 299, 947, 16328, 15183, 334, 5083, 10744, 40018, 18083, 41165, 718, 16, 5316, 2822, 13013, 282, 14039, 14561, 23703, 18, 1367, 803, 2227, 299, 947, 3828, 282, 17130, 22065, 478, 672, 521, 3851, 861, 478, 1358, 16, 8602, 4538, 16, 685, 32603, 473, 431, 806, 3021, 41165, 718, 651, 29765, 18, 344, 814, 629, 4539, 16, 374, 309, 4862, 1003, 537, 2236, 1631, 16, 1029, 373, 453, 4539, 910, 510, 1109, 8099, 18, 824, 11526, 3756, 6877, 954, 11268, 16, 475, 14429, 2665, 13173, 16, 1085, 21518, 305, 282, 14039, 16, 478, 267, 3195, 5608, 6617, 289, 1085, 12983, 8607, 5133, 861, 3791, 2227, 299, 947, 2815, 16, 374, 6980, 726, 309, 7266, 4256, 986, 6691, 3108, 4154, 1734, 25182, 477, 1963, 1175, 18, 967, 803, 492, 9299, 16, 374, 322, 15419, 10919, 18001, 32477, 41165, 718, 16, 453, 428, 20882, 16, 374, 282, 2801, 1045, 17635, 37346, 1482, 6731, 8156, 19095, 3250, 26246, 2665, 18, 478, 1358, 373, 322, 2963, 10919, 18001, 41165, 2818, 18, 3557, 1033, 16, 492, 360, 2742, 25182, 1175, 1279, 2665, 939, 1269, 22499, 19095, 3250, 26246, 18, 740, 417, 16, 8602, 4538, 16, 685, 32603, 910, 510, 1109, 20203, 8099, 17734, 14789, 18, 7106, 16, 7550, 41165, 778, 16, 282, 4675, 808, 6232, 10977, 282, 27679, 16, 8566, 6730, 282, 14039, 478, 47816, 1703, 5074, 496, 910, 282, 2114, 3441, 411, 4546, 15349, 22987, 40607, 18, 9857, 6106, 492, 22699, 282, 17130, 1560, 28503, 918, 14935, 933, 6347, 4766, 951, 29369, 1072, 18, 3680, 74, 83, 18, 225, 17549, 47816, 778, 13013, 18, 4950, 2023, 16, 289, 44313, 6888, 18, 5005, 6888, 1033, 9304, 3050, 16, 367, 481, 510, 2954, 778, 13013, 910, 510, 1109, 41165, 778, 18, 824, 3163, 37697, 16, 32359, 510, 481, 31353, 6888, 16, 1586, 322, 6925, 11225, 309, 475, 7441, 18, 478, 677, 37219, 549, 18598, 18, 24734, 883, 2954, 778, 13013, 18, 24734, 2636, 44313, 6888, 18, 18346, 18284, 16, 374, 678, 322, 6925, 11225, 309, 2651, 9482, 2994, 14745, 1730, 3925, 740, 678, 2397, 34004, 20030, 272, 282, 14039, 289, 33821, 20030, 272, 567, 3025, 34417, 4008, 910, 510, 1109, 41165, 778, 18, 3791, 492, 9848, 16, 374, 1335, 7423, 44350, 731, 1871, 40667, 30, 37901, 510, 282, 14039, 16, 289, 31025, 510, 567, 3025, 34417, 4008, 18, 22138, 549, 5016, 431, 20540, 282, 19376, 2954, 2665, 702, 294, 6527, 411, 17, 431, 4447, 6059, 510, 3057, 16, 32126, 12971, 32277, 289, 14824, 16, 9848, 17635, 18, 2949, 978, 16, 492, 9299, 16, 374, 6888, 1220, 305, 1807, 36441, 15597, 26113, 4310, 16, 3279, 8641, 17625, 8156, 3771, 18, 459, 827, 373, 322, 19186, 12483, 16, 502, 34839, 2944, 373, 6498, 294, 2618, 5133, 16, 3404, 5042, 41165, 778, 18, 640, 1247, 27271, 290, 970, 16, 1085, 16, 334, 4734, 19589, 890, 16, 1279, 2616, 21518, 305, 309, 14039, 16, 41165, 778, 2715, 16, 374, 34839, 49910, 281, 3285, 2855, 18, 4756, 20203, 19589, 292, 2815, 16, 374, 20885, 4186, 2665, 5009, 5519, 309, 2511, 3763, 1135, 1011, 2297, 620, 686, 13870, 282, 2801, 1045, 18, 478, 21357, 1204, 510, 481, 4702, 16, 1548, 374, 5494, 2994, 40000, 2665, 17514, 65, 34843, 2558, 555, 519, 5973, 13870, 18, 31456, 783, 510, 481, 1494, 4702, 18, 889, 4702, 16, 1548, 374, 16661, 510, 20266, 2511, 3763, 4186, 910, 510, 1109, 41165, 778, 18, 817, 4725, 16, 374, 411, 17, 431, 5973, 13870, 6980, 4079, 4318, 32359, 289, 8773, 18, 365, 803, 19589, 292, 35921, 6551, 16, 35972, 289, 26123, 4830, 2665, 17514, 34843, 18, 385, 2742, 4154, 14542, 11220, 309, 9265, 17, 17569, 2665, 491, 338, 236, 27, 7703, 23806, 5303, 520, 17091, 1354, 18, 1367, 803, 13120, 282, 30989, 32342, 1161, 17750, 9085, 334, 22591, 1631, 309, 4862, 18, 817, 685, 18913, 667, 3597, 11826, 779, 289, 7332, 5024, 349, 2849, 281, 2418, 4238, 2801, 779, 334, 1760, 4160, 11826, 779, 18, 30781, 2798, 266, 282, 14039, 1559, 3348, 411, 3322, 38572, 432, 281, 3915, 7409, 6571, 2793, 16, 5130, 282, 48638, 5741, 3612, 30989, 3594, 334, 39797, 50243, 6528, 473, 1140, 684, 1009, 677, 13, 9085, 18, 6592, 3761, 13858, 3320, 16, 8649, 9402, 11337, 1512, 3929, 9254, 1018, 289, 39215, 560, 309, 681, 2165, 18, 2, 1, 87, 1456, 81, 2448, 30, 30197, 4872, 47371, 26119, 282, 1568, 290, 12939, 1290, 10268, 43865, 6997, 18, 1606, 10842, 47765, 4412, 411, 11131, 472, 2997, 563, 289, 9095, 2678, 10173, 15783, 1293, 15802, 309, 2923, 1175, 18, 29609, 16685, 287, 12670, 1559, 15506, 309, 11973, 680, 3952, 416, 7020, 424, 5579, 17, 5147, 3924, 18, 31224, 30, 677, 39309, 38908, 26119, 294, 14371, 478, 630, 12939, 1290, 10268, 43865, 6997, 910, 1435, 1444, 282, 12938, 5049, 779, 18, 365, 5118, 281, 2184, 9449, 10575, 472, 2997, 563, 473, 27527, 43865, 6997, 13, 2397, 2990, 334, 49833, 5439, 27604, 7800, 448, 16743, 44269, 288, 6473, 473, 275, 970, 2875, 281, 2983, 5056, 309, 1129, 39966, 11554, 13, 282, 18213, 19067, 1562, 18, 478 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1743, 11752, 16, 282, 1375, 1528, 34046, 15833, 16, 374, 329, 2553, 1698, 22876, 3860, 16, 453, 428, 5851, 322, 4153, 8931, 281, 309, 712, 3334, 5163, 2389, 18, 12280, 8097, 16, 374, 282, 1175, 1038, 7616, 268, 17148, 10302, 294, 13486, 25275, 385, 17, 24342, 11752, 16, 14517, 22070, 4004, 11065, 7080, 281, 1335, 19297, 18, 769, 5650, 11526, 3756, 27663, 272, 23061, 29694, 6106, 1624, 11281, 9, 5303, 1175, 6881, 16, 374, 24829, 15131, 17899, 11752, 2174, 5472, 18, 2706, 9, 6881, 16790, 8187, 385, 17, 24342, 1335, 4008, 42440, 3851, 18, 365, 1750, 827, 29517, 7391, 305, 329, 1175, 29083, 385, 17, 24342, 16, 502, 678, 322, 840, 4056, 19297, 9808, 16, 329, 1754, 912, 309, 38257, 10933, 22578, 7392, 2926, 18, 33465, 26034, 11358, 385, 17, 18442, 2353, 309, 38257, 329, 13613, 16, 1586, 30112, 9588, 329, 3874, 28083, 16, 1029, 282, 1423, 3678, 13594, 697, 329, 1175, 18, 2, 1, 87, 1456, 81, 2448, 30, 31971, 3082, 7225, 2665, 20672, 2227, 299, 947, 685, 32603, 6173, 19589, 890, 18083, 41165, 718, 290, 970, 16, 374, 13013, 282, 14039, 510, 481, 44313, 6888, 18, 824, 4734, 9362, 16, 34839, 13173, 16, 1085, 289, 428, 21518, 305, 282, 9804, 18, 985, 17, 3697, 31127, 1694, 41165, 718, 2227, 299, 947, 9473, 18, 31224, 30, 31971, 3082, 7225, 2665, 20672, 2227, 299, 947, 16328, 15183, 334, 5083, 10744, 40018, 18083, 41165, 718, 16, 5316, 2822, 13013, 282, 14039, 14561, 23703, 18, 1367, 803, 2227, 299, 947, 3828, 282, 17130, 22065, 478, 672, 521, 3851, 861, 478, 1358, 16, 8602, 4538, 16, 685, 32603, 473, 431, 806, 3021, 41165, 718, 651, 29765, 18, 344, 814, 629, 4539, 16, 374, 309, 4862, 1003, 537, 2236, 1631, 16, 1029, 373, 453, 4539, 910, 510, 1109, 8099, 18, 824, 11526, 3756, 6877, 954, 11268, 16, 475, 14429, 2665, 13173, 16, 1085, 21518, 305, 282, 14039, 16, 478, 267, 3195, 5608, 6617, 289, 1085, 12983, 8607, 5133, 861, 3791, 2227, 299, 947, 2815, 16, 374, 6980, 726, 309, 7266, 4256, 986, 6691, 3108, 4154, 1734, 25182, 477, 1963, 1175, 18, 967, 803, 492, 9299, 16, 374, 322, 15419, 10919, 18001, 32477, 41165, 718, 16, 453, 428, 20882, 16, 374, 282, 2801, 1045, 17635, 37346, 1482, 6731, 8156, 19095, 3250, 26246, 2665, 18, 478, 1358, 373, 322, 2963, 10919, 18001, 41165, 2818, 18, 3557, 1033, 16, 492, 360, 2742, 25182, 1175, 1279, 2665, 939, 1269, 22499, 19095, 3250, 26246, 18, 740, 417, 16, 8602, 4538, 16, 685, 32603, 910, 510, 1109, 20203, 8099, 17734, 14789, 18, 7106, 16, 7550, 41165, 778, 16, 282, 4675, 808, 6232, 10977, 282, 27679, 16, 8566, 6730, 282, 14039, 478, 47816, 1703, 5074, 496, 910, 282, 2114, 3441, 411, 4546, 15349, 22987, 40607, 18, 9857, 6106, 492, 22699, 282, 17130, 1560, 28503, 918, 14935, 933, 6347, 4766, 951, 29369, 1072, 18, 3680, 74, 83, 18, 225, 17549, 47816, 778, 13013, 18, 4950, 2023, 16, 289, 44313, 6888, 18, 5005, 6888, 1033, 9304, 3050, 16, 367, 481, 510, 2954, 778, 13013, 910, 510, 1109, 41165, 778, 18, 824, 3163, 37697, 16, 32359, 510, 481, 31353, 6888, 16, 1586, 322, 6925, 11225, 309, 475, 7441, 18, 478, 677, 37219, 549, 18598, 18, 24734, 883, 2954, 778, 13013, 18, 24734, 2636, 44313, 6888, 18, 18346, 18284, 16, 374, 678, 322, 6925, 11225, 309, 2651, 9482, 2994, 14745, 1730, 3925, 740, 678, 2397, 34004, 20030, 272, 282, 14039, 289, 33821, 20030, 272, 567, 3025, 34417, 4008, 910, 510, 1109, 41165, 778, 18, 3791, 492, 9848, 16, 374, 1335, 7423, 44350, 731, 1871, 40667, 30, 37901, 510, 282, 14039, 16, 289, 31025, 510, 567, 3025, 34417, 4008, 18, 22138, 549, 5016, 431, 20540, 282, 19376, 2954, 2665, 702, 294, 6527, 411, 17, 431, 4447, 6059, 510, 3057, 16, 32126, 12971, 32277, 289, 14824, 16, 9848, 17635, 18, 2949, 978, 16, 492, 9299, 16, 374, 6888, 1220, 305, 1807, 36441, 15597, 26113, 4310, 16, 3279, 8641, 17625, 8156, 3771, 18, 459, 827, 373, 322, 19186, 12483, 16, 502, 34839, 2944, 373, 6498, 294, 2618, 5133, 16, 3404, 5042, 41165, 778, 18, 640, 1247, 27271, 290, 970, 16, 1085, 16, 334, 4734, 19589, 890, 16, 1279, 2616, 21518, 305, 309, 14039, 16, 41165, 778, 2715, 16, 374, 34839, 49910, 281, 3285, 2855, 18, 4756, 20203, 19589, 292, 2815, 16, 374, 20885, 4186, 2665, 5009, 5519, 309, 2511, 3763, 1135, 1011, 2297, 620, 686, 13870, 282, 2801, 1045, 18, 478, 21357, 1204, 510, 481, 4702, 16, 1548, 374, 5494, 2994, 40000, 2665, 17514, 65, 34843, 2558, 555, 519, 5973, 13870, 18, 31456, 783, 510, 481, 1494, 4702, 18, 889, 4702, 16, 1548, 374, 16661, 510, 20266, 2511, 3763, 4186, 910, 510, 1109, 41165, 778, 18, 817, 4725, 16, 374, 411, 17, 431, 5973, 13870, 6980, 4079, 4318, 32359, 289, 8773, 18, 365, 803, 19589, 292, 35921, 6551, 16, 35972, 289, 26123, 4830, 2665, 17514, 34843, 18, 385, 2742, 4154, 14542, 11220, 309, 9265, 17, 17569, 2665, 491, 338, 236, 27, 7703, 23806, 5303, 520, 17091, 1354, 18, 1367, 803, 13120, 282, 30989, 32342, 1161, 17750, 9085, 334, 22591, 1631, 309, 4862, 18, 817, 685, 18913, 667, 3597, 11826, 779, 289, 7332, 5024, 349, 2849, 281, 2418, 4238, 2801, 779, 334, 1760, 4160, 11826, 779, 18, 30781, 2798, 266, 282, 14039, 1559, 3348, 411, 3322, 38572, 432, 281, 3915, 7409, 6571, 2793, 16, 5130, 282, 48638, 5741, 3612, 30989, 3594, 334, 39797, 50243, 6528, 473, 1140, 684, 1009, 677, 13, 9085, 18, 6592, 3761, 13858, 3320, 16, 8649, 9402, 11337, 1512, 3929, 9254, 1018, 289, 39215, 560, 309, 681, 2165, 18, 2, 1, 87, 1456, 81, 2448, 30, 30197, 4872, 47371, 26119, 282, 1568, 290, 12939, 1290, 10268, 43865, 6997, 18, 1606, 10842, 47765, 4412, 411, 11131, 472, 2997, 563, 289, 9095, 2678, 10173, 15783, 1293, 15802, 309, 2923, 1175, 18, 29609, 16685, 287, 12670, 1559, 15506, 309, 11973, 680, 3952, 416, 7020, 424, 5579, 17, 5147, 3924, 18, 31224, 30, 677, 39309, 38908, 26119, 294, 14371, 478, 630, 12939, 1290, 10268, 43865, 6997, 910, 1435, 1444, 282, 12938, 5049, 779, 18, 365, 5118, 281, 2184, 9449, 10575, 472, 2997, 563, 473, 27527, 43865, 6997, 13, 2397, 2990, 334, 49833, 5439, 27604, 7800, 448, 16743, 44269, 288, 6473, 473, 275, 970, 2875, 281, 2983, 5056, 309, 1129, 39966, 11554, 13, 282, 18213, 19067, 1562, 18, 478 ]
[ 17603, 3012, 802, 44269, 288, 6473, 518, 16743, 16, 309, 1639, 971, 1718, 1886, 13961, 8752, 17213, 40590, 15064, 16, 5308, 16, 1073, 507, 700, 910, 40590, 41988, 5184, 43579, 16, 5037, 7920, 16934, 334, 25005, 289, 7800, 536, 40126, 16934, 19432, 1034, 333, 454, 277, 18, 3933, 21533, 16743, 424, 7785, 3878, 7955, 7243, 16014, 281, 42110, 18, 740, 282, 31595, 290, 4328, 476, 472, 2997, 563, 1003, 9047, 16, 3219, 669, 2989, 27604, 44269, 288, 6473, 16743, 478, 275, 18213, 26003, 17, 1599, 1385, 33162, 470, 40590, 282, 10337, 668, 18213, 16, 282, 18213, 12466, 289, 18373, 33162, 18, 5857, 489, 382, 5204, 10531, 1177, 27172, 1196, 310, 16, 2548, 1034, 333, 454, 277, 18, 5857, 489, 343, 10859, 2678, 11960, 1817, 10830, 20394, 1175, 16, 26698, 11309, 18, 2790, 8082, 5848, 4506, 3158, 10356, 7800, 1251, 9887, 14325, 289, 9609, 18, 23092, 12845, 2678, 9078, 2301, 7800, 16, 961, 6535, 282, 505, 10305, 16, 282, 18213, 2407, 281, 35669, 697, 3012, 2607, 15783, 18, 415, 4700, 1717, 30174, 3419, 4498, 40590, 1034, 333, 454, 277, 322, 15135, 18, 21474, 34156, 541, 5836, 5738, 2458, 322, 25207, 15442, 16, 367, 26555, 13377, 7800, 16, 46462, 11973, 680, 3952, 416, 7020, 424, 5579, 17, 5147, 3924, 18, 9576, 1335, 7020, 17845, 4433, 12826, 37912, 7884, 16, 481, 1272, 12480, 17528, 667, 16, 25, 31429, 287, 289, 24110, 16, 24, 31429, 287, 18, 1606, 15904, 282, 30517, 26176, 37118, 282, 5118, 281, 6700, 2592, 547, 5579, 17, 14723, 18, 23092, 472, 2997, 563, 334, 49924, 31678, 5579, 17, 14723, 25760, 3064, 25059, 1357, 1967, 7800, 282, 13684, 478, 275, 9643, 6997, 309, 1169, 2950, 39969, 12712, 2066, 34122, 910, 4437, 4165, 4419, 18165, 6187, 11131, 3720, 504, 489, 320, 1496, 18, 365, 6031, 4412, 7020, 1011, 30345, 26295, 2458, 35960, 11131, 472, 2997, 563, 18, 4824, 411, 15802, 10575, 35638, 34835, 309, 29272, 764, 282, 11130, 18, 740, 9770, 7020, 424, 576, 1263, 282, 26311, 451, 1551, 18, 26959, 40379, 16, 374, 4412, 898, 39152, 276, 48658, 28647, 16, 289, 25290, 33645, 21935, 18, 504, 4970, 1157, 11789, 5770, 4110, 1423, 10839, 867, 16, 374, 309, 2923, 3952, 416, 7020, 14490, 24039, 19020, 509, 7065, 12450, 18, 5602, 6487, 742, 18842, 40590, 20556, 8338, 20293, 6363, 25025, 19937, 18, 23092, 472, 2997, 563, 15012, 5342, 309, 502, 16, 374, 3952, 549, 19245, 322, 30312, 349, 4150, 2206, 39760, 12450, 16, 289, 1551, 7007, 309, 2580, 11131, 18, 740, 1391, 22902, 4770, 1175, 289, 35832, 549, 39635, 1624, 1586, 1011, 10438, 4265, 37341, 9078, 11973, 680, 7020, 2706, 2355, 4412, 18, 4149, 10833, 3461, 10579, 7117, 22306, 6036, 2923, 18, 15924, 39152, 839, 4412, 21704, 282, 10305, 11131, 18, 365, 4328, 476, 472, 2997, 563, 478, 46088, 18, 8381, 470, 40530, 16, 374, 11272, 27073, 5439, 290, 23462, 2095, 7800, 282, 10337, 668, 18213, 541, 25594, 10376, 45142, 41596, 18, 478, 4441, 47930, 645, 18, 2877, 289, 2393, 7982, 16725, 1585, 1157, 16, 329, 1639, 2891, 9884, 2853, 4713, 334, 8386, 697, 32341, 418, 3380, 434, 6226, 16, 9718, 802, 45822, 5466, 10575, 472, 2997, 563, 289, 9078, 4713, 910, 40590, 2548, 9216, 14820, 1230, 29595, 11942, 42979, 7024, 478, 983, 15617, 4075, 470, 6096, 15888, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 17710, 32098, 6498, 281, 1684, 9340, 334, 478, 296, 3273, 1147, 6619, 470, 1833, 294, 4070, 406, 8448, 876, 14958, 510, 8306, 1100, 478, 1098, 13230, 10435, 470, 41627, 4015, 16779, 2818, 16, 1856, 3033, 20691, 29368, 42438, 264, 6318, 5423, 332, 392, 6907, 14457, 289, 1951, 3033, 4202, 478, 3693, 49977, 11031, 470, 10563, 877, 40627, 272, 18, 10418, 3051, 2158, 411, 4845, 262, 282, 7522, 334, 478, 296, 3273, 1147, 6619, 470, 685, 1542, 589, 1390, 2107, 16804, 42438, 264, 6318, 510, 6370, 28241, 420, 20128, 18, 3397, 492, 3164, 282, 35524, 16, 988, 1196, 19044, 519, 491, 4209, 18, 31224, 30, 677, 9937, 5413, 8811, 3594, 33515, 7920, 334, 41322, 1767, 10258, 1684, 1465, 282, 39133, 3437, 8448, 16427, 30, 329, 8306, 419, 478, 1098, 13230, 10435, 470, 11719, 4015, 16779, 718, 1624, 329, 25591, 20691, 16934, 360, 4623, 478, 44280, 1063, 3771, 470, 29368, 42438, 42932, 367, 5423, 9596, 6907, 3583, 289, 27166, 4202, 478, 3693, 49977, 11031, 470, 19243, 14179, 401, 1367, 803, 42438, 42932, 6463, 282, 3177, 35872, 271, 2517, 282, 15797, 18, 478, 4670, 1670, 281, 1684, 1212, 294, 8722, 1856, 3033, 282, 17710, 32098, 5423, 332, 392, 6907, 14457, 18, 8269, 16, 3275, 530, 478, 1098, 41077, 12370, 861, 8287, 1465, 282, 17710, 32098, 329, 3437, 1135, 510, 6907, 3583, 16, 14179, 401, 289, 4015, 16779, 718, 18, 2787, 912, 39839, 16, 374, 8272, 334, 586, 1182, 910, 510, 3828, 492, 18, 478, 677, 3198, 1684, 2449, 329, 8448, 16427, 23076, 25142, 22272, 16, 27621, 3978, 289, 29680, 2181, 18433, 910, 510, 40809, 11309, 18, 13925, 42438, 42932, 3828, 16, 374, 46026, 329, 6907, 3583, 1568, 928, 289, 492, 20924, 282, 5482, 625, 309, 6905, 8436, 18, 478, 4408, 17, 12593, 16, 282, 31964, 40178, 910, 510, 5692, 42438, 42932, 18, 47245, 10936, 329, 11753, 36294, 20691, 1055, 322, 3225, 30, 40627, 289, 34848, 31053, 2625, 30641, 18, 478, 30688, 2659, 1223, 16, 1684, 1465, 11864, 281, 371, 22984, 8802, 6705, 779, 282, 25402, 29368, 42438, 264, 6318, 289, 11088, 19582, 433, 14954, 1624, 510, 4848, 478, 38166, 2818, 2242, 1528, 470, 5854, 16201, 10872, 478, 31779, 323, 1175, 470, 17397, 17487, 13250, 18, 510, 9114, 8560, 2158, 9099, 1684, 1465, 15143, 282, 42501, 1767, 16, 988, 1038, 8802, 14366, 12373, 2324, 451, 13333, 861, 365, 3998, 5196, 1684, 1465, 8056, 329, 8306, 419, 478, 1098, 13230, 10435, 470, 282, 4845, 262, 16, 22747, 837, 11088, 19582, 433, 14954, 15803, 28241, 420, 40337, 18, 365, 1500, 575, 1119, 492, 685, 37527, 282, 7522, 16, 367, 816, 4238, 505, 639, 19056, 7146, 282, 35524, 519, 491, 4209, 978, 779, 18, 999, 1119, 519, 978, 282, 36276, 282, 8303, 8448, 5355, 8306, 419, 12097, 22227, 39970, 1038, 6382, 46026, 282, 4301, 478, 296, 3273, 434, 1101, 861, 22227, 20173, 5273, 16, 374, 505, 3337, 4283, 282, 2630, 281, 18951, 424, 4671, 280, 1212, 282, 13186, 8448, 5355, 14003, 478, 21286, 454, 30458, 1098, 611, 910, 1029, 16, 428, 6881, 36560, 16, 757, 953, 6906, 12375, 11088, 19582, 433 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17603, 3012, 802, 44269, 288, 6473, 518, 16743, 16, 309, 1639, 971, 1718, 1886, 13961, 8752, 17213, 40590, 15064, 16, 5308, 16, 1073, 507, 700, 910, 40590, 41988, 5184, 43579, 16, 5037, 7920, 16934, 334, 25005, 289, 7800, 536, 40126, 16934, 19432, 1034, 333, 454, 277, 18, 3933, 21533, 16743, 424, 7785, 3878, 7955, 7243, 16014, 281, 42110, 18, 740, 282, 31595, 290, 4328, 476, 472, 2997, 563, 1003, 9047, 16, 3219, 669, 2989, 27604, 44269, 288, 6473, 16743, 478, 275, 18213, 26003, 17, 1599, 1385, 33162, 470, 40590, 282, 10337, 668, 18213, 16, 282, 18213, 12466, 289, 18373, 33162, 18, 5857, 489, 382, 5204, 10531, 1177, 27172, 1196, 310, 16, 2548, 1034, 333, 454, 277, 18, 5857, 489, 343, 10859, 2678, 11960, 1817, 10830, 20394, 1175, 16, 26698, 11309, 18, 2790, 8082, 5848, 4506, 3158, 10356, 7800, 1251, 9887, 14325, 289, 9609, 18, 23092, 12845, 2678, 9078, 2301, 7800, 16, 961, 6535, 282, 505, 10305, 16, 282, 18213, 2407, 281, 35669, 697, 3012, 2607, 15783, 18, 415, 4700, 1717, 30174, 3419, 4498, 40590, 1034, 333, 454, 277, 322, 15135, 18, 21474, 34156, 541, 5836, 5738, 2458, 322, 25207, 15442, 16, 367, 26555, 13377, 7800, 16, 46462, 11973, 680, 3952, 416, 7020, 424, 5579, 17, 5147, 3924, 18, 9576, 1335, 7020, 17845, 4433, 12826, 37912, 7884, 16, 481, 1272, 12480, 17528, 667, 16, 25, 31429, 287, 289, 24110, 16, 24, 31429, 287, 18, 1606, 15904, 282, 30517, 26176, 37118, 282, 5118, 281, 6700, 2592, 547, 5579, 17, 14723, 18, 23092, 472, 2997, 563, 334, 49924, 31678, 5579, 17, 14723, 25760, 3064, 25059, 1357, 1967, 7800, 282, 13684, 478, 275, 9643, 6997, 309, 1169, 2950, 39969, 12712, 2066, 34122, 910, 4437, 4165, 4419, 18165, 6187, 11131, 3720, 504, 489, 320, 1496, 18, 365, 6031, 4412, 7020, 1011, 30345, 26295, 2458, 35960, 11131, 472, 2997, 563, 18, 4824, 411, 15802, 10575, 35638, 34835, 309, 29272, 764, 282, 11130, 18, 740, 9770, 7020, 424, 576, 1263, 282, 26311, 451, 1551, 18, 26959, 40379, 16, 374, 4412, 898, 39152, 276, 48658, 28647, 16, 289, 25290, 33645, 21935, 18, 504, 4970, 1157, 11789, 5770, 4110, 1423, 10839, 867, 16, 374, 309, 2923, 3952, 416, 7020, 14490, 24039, 19020, 509, 7065, 12450, 18, 5602, 6487, 742, 18842, 40590, 20556, 8338, 20293, 6363, 25025, 19937, 18, 23092, 472, 2997, 563, 15012, 5342, 309, 502, 16, 374, 3952, 549, 19245, 322, 30312, 349, 4150, 2206, 39760, 12450, 16, 289, 1551, 7007, 309, 2580, 11131, 18, 740, 1391, 22902, 4770, 1175, 289, 35832, 549, 39635, 1624, 1586, 1011, 10438, 4265, 37341, 9078, 11973, 680, 7020, 2706, 2355, 4412, 18, 4149, 10833, 3461, 10579, 7117, 22306, 6036, 2923, 18, 15924, 39152, 839, 4412, 21704, 282, 10305, 11131, 18, 365, 4328, 476, 472, 2997, 563, 478, 46088, 18, 8381, 470, 40530, 16, 374, 11272, 27073, 5439, 290, 23462, 2095, 7800, 282, 10337, 668, 18213, 541, 25594, 10376, 45142, 41596, 18, 478, 4441, 47930, 645, 18, 2877, 289, 2393, 7982, 16725, 1585, 1157, 16, 329, 1639, 2891, 9884, 2853, 4713, 334, 8386, 697, 32341, 418, 3380, 434, 6226, 16, 9718, 802, 45822, 5466, 10575, 472, 2997, 563, 289, 9078, 4713, 910, 40590, 2548, 9216, 14820, 1230, 29595, 11942, 42979, 7024, 478, 983, 15617, 4075, 470, 6096, 15888, 1492, 2, 1, 87, 1456, 81, 2448, 30, 677, 17710, 32098, 6498, 281, 1684, 9340, 334, 478, 296, 3273, 1147, 6619, 470, 1833, 294, 4070, 406, 8448, 876, 14958, 510, 8306, 1100, 478, 1098, 13230, 10435, 470, 41627, 4015, 16779, 2818, 16, 1856, 3033, 20691, 29368, 42438, 264, 6318, 5423, 332, 392, 6907, 14457, 289, 1951, 3033, 4202, 478, 3693, 49977, 11031, 470, 10563, 877, 40627, 272, 18, 10418, 3051, 2158, 411, 4845, 262, 282, 7522, 334, 478, 296, 3273, 1147, 6619, 470, 685, 1542, 589, 1390, 2107, 16804, 42438, 264, 6318, 510, 6370, 28241, 420, 20128, 18, 3397, 492, 3164, 282, 35524, 16, 988, 1196, 19044, 519, 491, 4209, 18, 31224, 30, 677, 9937, 5413, 8811, 3594, 33515, 7920, 334, 41322, 1767, 10258, 1684, 1465, 282, 39133, 3437, 8448, 16427, 30, 329, 8306, 419, 478, 1098, 13230, 10435, 470, 11719, 4015, 16779, 718, 1624, 329, 25591, 20691, 16934, 360, 4623, 478, 44280, 1063, 3771, 470, 29368, 42438, 42932, 367, 5423, 9596, 6907, 3583, 289, 27166, 4202, 478, 3693, 49977, 11031, 470, 19243, 14179, 401, 1367, 803, 42438, 42932, 6463, 282, 3177, 35872, 271, 2517, 282, 15797, 18, 478, 4670, 1670, 281, 1684, 1212, 294, 8722, 1856, 3033, 282, 17710, 32098, 5423, 332, 392, 6907, 14457, 18, 8269, 16, 3275, 530, 478, 1098, 41077, 12370, 861, 8287, 1465, 282, 17710, 32098, 329, 3437, 1135, 510, 6907, 3583, 16, 14179, 401, 289, 4015, 16779, 718, 18, 2787, 912, 39839, 16, 374, 8272, 334, 586, 1182, 910, 510, 3828, 492, 18, 478, 677, 3198, 1684, 2449, 329, 8448, 16427, 23076, 25142, 22272, 16, 27621, 3978, 289, 29680, 2181, 18433, 910, 510, 40809, 11309, 18, 13925, 42438, 42932, 3828, 16, 374, 46026, 329, 6907, 3583, 1568, 928, 289, 492, 20924, 282, 5482, 625, 309, 6905, 8436, 18, 478, 4408, 17, 12593, 16, 282, 31964, 40178, 910, 510, 5692, 42438, 42932, 18, 47245, 10936, 329, 11753, 36294, 20691, 1055, 322, 3225, 30, 40627, 289, 34848, 31053, 2625, 30641, 18, 478, 30688, 2659, 1223, 16, 1684, 1465, 11864, 281, 371, 22984, 8802, 6705, 779, 282, 25402, 29368, 42438, 264, 6318, 289, 11088, 19582, 433, 14954, 1624, 510, 4848, 478, 38166, 2818, 2242, 1528, 470, 5854, 16201, 10872, 478, 31779, 323, 1175, 470, 17397, 17487, 13250, 18, 510, 9114, 8560, 2158, 9099, 1684, 1465, 15143, 282, 42501, 1767, 16, 988, 1038, 8802, 14366, 12373, 2324, 451, 13333, 861, 365, 3998, 5196, 1684, 1465, 8056, 329, 8306, 419, 478, 1098, 13230, 10435, 470, 282, 4845, 262, 16, 22747, 837, 11088, 19582, 433, 14954, 15803, 28241, 420, 40337, 18, 365, 1500, 575, 1119, 492, 685, 37527, 282, 7522, 16, 367, 816, 4238, 505, 639, 19056, 7146, 282, 35524, 519, 491, 4209, 978, 779, 18, 999, 1119, 519, 978, 282, 36276, 282, 8303, 8448, 5355, 8306, 419, 12097, 22227, 39970, 1038, 6382, 46026, 282, 4301, 478, 296, 3273, 434, 1101, 861, 22227, 20173, 5273, 16, 374, 505, 3337, 4283, 282, 2630, 281, 18951, 424, 4671, 280, 1212, 282, 13186, 8448, 5355, 14003, 478, 21286, 454, 30458, 1098, 611, 910, 1029, 16, 428, 6881, 36560, 16, 757, 953, 6906, 12375, 11088, 19582, 433 ]
[ 14954, 334, 3819, 13287, 2891, 18, 28241, 420, 20128, 575, 16, 428, 289, 2615, 5854, 12466, 282, 478, 296, 3273, 547, 2463, 910, 2067, 21515, 14935, 17397, 15637, 1699, 375, 1624, 7757, 282, 1743, 16, 10265, 23588, 987, 282, 34974, 9702, 4462, 368, 24035, 10898, 6464, 282, 4542, 46726, 309, 37119, 416, 6394, 1286, 3598, 6705, 779, 18, 1061, 4238, 2438, 3665, 16, 374, 5120, 13389, 5219, 2198, 1101, 17344, 10121, 47689, 4434, 4973, 282, 3320, 45356, 309, 37119, 416, 6394, 16, 367, 1038, 282, 13148, 3741, 45356, 309, 2923, 1175, 18, 985, 6442, 282, 35097, 4639, 16, 477, 23418, 1157, 473, 1140, 22419, 2279, 16, 2052, 1386, 626, 512, 289, 21435, 778, 23024, 10671, 420, 14879, 11293, 1117, 4141, 6778, 478, 37154, 642, 1166, 311, 18, 284, 18, 11979, 10699, 14003, 470, 282, 10705, 4845, 262, 16, 12595, 526, 16, 30612, 11717, 16, 25402, 289, 31831, 18, 21683, 6705, 779, 478, 368, 454, 513, 265, 470, 334, 40637, 281, 48976, 8448, 12231, 5236, 11399, 478, 21286, 454, 30458, 5714, 686, 470, 309, 34674, 412, 945, 547, 37369, 298, 8056, 567, 3725, 10705, 2553, 18, 478, 983, 3273, 539, 1743, 470, 639, 18966, 1011, 46726, 1251, 5183, 1663, 2389, 289, 31775, 309, 37119, 416, 6394, 1286, 3598, 4018, 779, 18, 824, 6619, 12219, 1033, 1939, 1135, 16, 961, 4434, 7723, 282, 18995, 282, 19264, 25694, 1165, 289, 37555, 309, 17390, 18, 478, 983, 3273, 539, 1743, 470, 5219, 1569, 282, 2361, 8357, 281, 8344, 290, 13148, 19264, 45356, 282, 2407, 16, 2486, 639, 18966, 13798, 4018, 779, 16, 1011, 30211, 334, 37252, 8621, 478, 618, 324, 496, 746, 19762, 17, 22, 861, 23412, 8943, 45356, 11925, 5273, 21435, 718, 11268, 10671, 420, 14879, 11293, 1117, 4141, 16, 49027, 32277, 37026, 2052, 1386, 626, 3583, 16, 27585, 23888, 3583, 16, 367, 1038, 15465, 478, 1098, 13230, 10435, 470, 11088, 19582, 433, 14954, 18, 3397, 424, 23285, 334, 478, 296, 3273, 1147, 6619, 470, 6535, 4055, 1135, 16, 411, 1639, 2418, 32727, 282, 35524, 18, 3739, 1176, 5120, 13389, 6729, 3183, 2131, 3141, 1624, 2202, 1779, 1423, 16789, 16, 282, 12838, 3619, 2846, 281, 16401, 779, 17703, 8124, 18, 2, 1, 87, 1456, 81, 2448, 30, 13945, 8938, 12310, 17812, 33722, 1698, 1852, 9443, 276, 281, 4866, 800, 43716, 2611, 16, 6881, 13328, 1133, 11775, 18, 385, 3195, 40057, 773, 3225, 26837, 3482, 31077, 282, 734, 26500, 29638, 309, 32508, 42193, 3244, 16, 961, 942, 3836, 371, 4930, 2431, 41110, 541, 7018, 289, 935, 30620, 282, 12066, 541, 1512, 18, 31224, 30, 992, 452, 4581, 22102, 848, 8394, 37274, 734, 5030, 281, 4866, 800, 43716, 2611, 18, 2046, 4426, 3482, 7404, 330, 282, 1129, 2182, 454, 745, 1698, 1852, 47342, 45121, 8393, 16, 6881, 3808, 26033, 1340, 411, 586, 13278, 718, 7377, 282, 19992, 18, 1606, 26534, 16, 428, 22954, 9443, 276, 281, 4866, 800, 43716, 2611, 282, 7897, 21737, 11242, 18, 415, 1480, 263, 47187, 282, 3781, 17, 40048, 309, 3614, 7377, 18, 478, 6161, 656, 1434, 2033, 1213, 4138, 15287, 9576, 289, 30425, 874, 722, 50147, 453, 16, 428, 18515, 481, 1800, 16, 1299, 14813, 430, 16, 26, 9309, 16, 753, 20059, 18, 740, 329, 813, 912, 1472, 13844, 18, 996, 374, 656, 2125, 3089, 3531, 46398, 289, 36809, 15031, 9357, 434, 6226, 25932, 910, 510, 10662, 8942, 12426, 313, 307, 47462, 345, 17, 6207, 2679, 18, 47462, 345, 17, 6207, 2679, 19615, 309, 2059, 411, 4866, 800, 2549, 277, 24204, 277, 40057, 16, 29671, 44441, 874, 3482, 31077, 282, 734, 26500, 29638, 473, 872, 1042, 16, 428, 289, 5027, 16, 31050, 16, 30022, 274, 16, 5155, 560, 289, 35961, 16, 29120, 282, 5344, 411, 294, 665, 3949, 13, 282, 2492, 37837, 16134, 3091, 4019, 32508, 42193, 3244, 18, 9418, 281, 26696, 678, 5471, 8531, 24204, 277, 16, 20318, 590, 31822, 9823, 29616, 18, 5333, 2175, 16, 46118, 918, 322, 1139, 12107, 12599, 281, 11839, 2037, 21475, 16, 367, 25816, 530, 505, 282, 44775, 12294, 8393, 18, 478, 6161, 11763, 519, 32508, 42193, 370, 16, 961, 42264, 371, 1039, 23842, 45068, 16, 697, 942, 15571, 3836, 282, 1040, 3462, 541, 7018, 670, 935, 13251, 10332, 910, 510, 10703, 47462, 345, 17, 6207, 2679, 282, 7337, 13328, 2818, 45292, 715, 58, 56, 18, 478, 677, 1040, 3462, 541, 7018, 43635, 8070, 14476, 5904, 668, 39858, 289, 477, 41077, 29638, 910, 510, 41988, 15832, 23772, 47751, 48853, 18, 23162, 2900, 22075, 282, 970, 16, 374, 371, 1169, 322, 8166, 3836, 2710, 17, 3697, 6663, 343, 548, 16, 374, 26765, 2098, 2269, 428, 309, 13258, 14025, 16, 453, 289, 309, 8990, 18067, 18, 1598, 15053, 429, 734, 5030, 942, 3604, 519, 23352, 32364, 33722, 18, 13640, 331, 37154, 918, 10432, 44441, 874, 3716, 9874, 9443, 276, 281, 4866, 800, 43716, 2611, 289, 21043, 17617, 286, 16, 6895, 5904, 668, 3291, 2848, 16, 515, 541, 2742, 24737, 5658, 4037, 27984, 6149, 309, 734, 26500, 18, 26468, 4981, 12907, 411, 734, 5030, 11762, 2638, 18, 4663, 2003, 32087, 282, 21371, 281, 1679, 13432, 41752, 289, 21333, 2608, 18, 4185, 46118, 918, 7737, 47948, 506, 16, 1038, 3014, 12606, 28540, 28092, 289, 33326, 622, 18, 16577, 6711, 808, 46709, 25816, 530, 21920, 16297, 7671, 282, 4400, 4797, 20875, 18, 4320, 374, 24737, 23566, 2240, 411, 734, 5030, 12135, 541, 7018, 16, 515, 282, 22792, 745, 1698, 9555, 289, 282, 3338, 10713, 1165, 18, 478, 677, 7823, 1209, 813, 8232, 23131, 6171, 33722, 16, 726, 1314, 7556, 4266, 290, 21659, 505, 411, 24944, 16, 510, 41988, 47462, 345, 17, 6207, 2679, 18, 510, 996, 374, 43635, 1698, 1852, 13842, 17812, 33722, 541, 1512, 18, 2046, 28613, 656, 281, 41110, 541, 7018, 861, 4756, 282, 803, 1045, 11775, 726, 45950, 1512, 14446, 2904, 309, 11811, 6676, 13156, 33722, 651, 3057, 16, 27222, 282, 16283, 24944, 4226, 12474, 18, 824, 697, 47902, 16, 21641, 411, 3819, 15226, 289, 39897, 368, 7717, 432, 25938, 523, 322, 687, 8350, 9038, 38643, 3400, 33722, 16, 515, 289, 6353, 48686, 341, 4733, 15437, 1053, 1051, 770, 33666, 4426, 5914, 8608, 6394, 37912, 13410, 509, 18, 7250, 798, 11678, 2834, 379, 6699, 282, 2968, 12474, 8350, 21398, 8417, 37912, 13410, 509, 309, 3425, 18, 3791, 541, 1335, 4380, 8046, 21057, 289, 477, 12886, 9494, 16, 3057, 16, 502, 6546, 16, 453, 428, 541, 697, 4981, 8166, 8067, 3440, 7800, 289, 6846, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14954, 334, 3819, 13287, 2891, 18, 28241, 420, 20128, 575, 16, 428, 289, 2615, 5854, 12466, 282, 478, 296, 3273, 547, 2463, 910, 2067, 21515, 14935, 17397, 15637, 1699, 375, 1624, 7757, 282, 1743, 16, 10265, 23588, 987, 282, 34974, 9702, 4462, 368, 24035, 10898, 6464, 282, 4542, 46726, 309, 37119, 416, 6394, 1286, 3598, 6705, 779, 18, 1061, 4238, 2438, 3665, 16, 374, 5120, 13389, 5219, 2198, 1101, 17344, 10121, 47689, 4434, 4973, 282, 3320, 45356, 309, 37119, 416, 6394, 16, 367, 1038, 282, 13148, 3741, 45356, 309, 2923, 1175, 18, 985, 6442, 282, 35097, 4639, 16, 477, 23418, 1157, 473, 1140, 22419, 2279, 16, 2052, 1386, 626, 512, 289, 21435, 778, 23024, 10671, 420, 14879, 11293, 1117, 4141, 6778, 478, 37154, 642, 1166, 311, 18, 284, 18, 11979, 10699, 14003, 470, 282, 10705, 4845, 262, 16, 12595, 526, 16, 30612, 11717, 16, 25402, 289, 31831, 18, 21683, 6705, 779, 478, 368, 454, 513, 265, 470, 334, 40637, 281, 48976, 8448, 12231, 5236, 11399, 478, 21286, 454, 30458, 5714, 686, 470, 309, 34674, 412, 945, 547, 37369, 298, 8056, 567, 3725, 10705, 2553, 18, 478, 983, 3273, 539, 1743, 470, 639, 18966, 1011, 46726, 1251, 5183, 1663, 2389, 289, 31775, 309, 37119, 416, 6394, 1286, 3598, 4018, 779, 18, 824, 6619, 12219, 1033, 1939, 1135, 16, 961, 4434, 7723, 282, 18995, 282, 19264, 25694, 1165, 289, 37555, 309, 17390, 18, 478, 983, 3273, 539, 1743, 470, 5219, 1569, 282, 2361, 8357, 281, 8344, 290, 13148, 19264, 45356, 282, 2407, 16, 2486, 639, 18966, 13798, 4018, 779, 16, 1011, 30211, 334, 37252, 8621, 478, 618, 324, 496, 746, 19762, 17, 22, 861, 23412, 8943, 45356, 11925, 5273, 21435, 718, 11268, 10671, 420, 14879, 11293, 1117, 4141, 16, 49027, 32277, 37026, 2052, 1386, 626, 3583, 16, 27585, 23888, 3583, 16, 367, 1038, 15465, 478, 1098, 13230, 10435, 470, 11088, 19582, 433, 14954, 18, 3397, 424, 23285, 334, 478, 296, 3273, 1147, 6619, 470, 6535, 4055, 1135, 16, 411, 1639, 2418, 32727, 282, 35524, 18, 3739, 1176, 5120, 13389, 6729, 3183, 2131, 3141, 1624, 2202, 1779, 1423, 16789, 16, 282, 12838, 3619, 2846, 281, 16401, 779, 17703, 8124, 18, 2, 1, 87, 1456, 81, 2448, 30, 13945, 8938, 12310, 17812, 33722, 1698, 1852, 9443, 276, 281, 4866, 800, 43716, 2611, 16, 6881, 13328, 1133, 11775, 18, 385, 3195, 40057, 773, 3225, 26837, 3482, 31077, 282, 734, 26500, 29638, 309, 32508, 42193, 3244, 16, 961, 942, 3836, 371, 4930, 2431, 41110, 541, 7018, 289, 935, 30620, 282, 12066, 541, 1512, 18, 31224, 30, 992, 452, 4581, 22102, 848, 8394, 37274, 734, 5030, 281, 4866, 800, 43716, 2611, 18, 2046, 4426, 3482, 7404, 330, 282, 1129, 2182, 454, 745, 1698, 1852, 47342, 45121, 8393, 16, 6881, 3808, 26033, 1340, 411, 586, 13278, 718, 7377, 282, 19992, 18, 1606, 26534, 16, 428, 22954, 9443, 276, 281, 4866, 800, 43716, 2611, 282, 7897, 21737, 11242, 18, 415, 1480, 263, 47187, 282, 3781, 17, 40048, 309, 3614, 7377, 18, 478, 6161, 656, 1434, 2033, 1213, 4138, 15287, 9576, 289, 30425, 874, 722, 50147, 453, 16, 428, 18515, 481, 1800, 16, 1299, 14813, 430, 16, 26, 9309, 16, 753, 20059, 18, 740, 329, 813, 912, 1472, 13844, 18, 996, 374, 656, 2125, 3089, 3531, 46398, 289, 36809, 15031, 9357, 434, 6226, 25932, 910, 510, 10662, 8942, 12426, 313, 307, 47462, 345, 17, 6207, 2679, 18, 47462, 345, 17, 6207, 2679, 19615, 309, 2059, 411, 4866, 800, 2549, 277, 24204, 277, 40057, 16, 29671, 44441, 874, 3482, 31077, 282, 734, 26500, 29638, 473, 872, 1042, 16, 428, 289, 5027, 16, 31050, 16, 30022, 274, 16, 5155, 560, 289, 35961, 16, 29120, 282, 5344, 411, 294, 665, 3949, 13, 282, 2492, 37837, 16134, 3091, 4019, 32508, 42193, 3244, 18, 9418, 281, 26696, 678, 5471, 8531, 24204, 277, 16, 20318, 590, 31822, 9823, 29616, 18, 5333, 2175, 16, 46118, 918, 322, 1139, 12107, 12599, 281, 11839, 2037, 21475, 16, 367, 25816, 530, 505, 282, 44775, 12294, 8393, 18, 478, 6161, 11763, 519, 32508, 42193, 370, 16, 961, 42264, 371, 1039, 23842, 45068, 16, 697, 942, 15571, 3836, 282, 1040, 3462, 541, 7018, 670, 935, 13251, 10332, 910, 510, 10703, 47462, 345, 17, 6207, 2679, 282, 7337, 13328, 2818, 45292, 715, 58, 56, 18, 478, 677, 1040, 3462, 541, 7018, 43635, 8070, 14476, 5904, 668, 39858, 289, 477, 41077, 29638, 910, 510, 41988, 15832, 23772, 47751, 48853, 18, 23162, 2900, 22075, 282, 970, 16, 374, 371, 1169, 322, 8166, 3836, 2710, 17, 3697, 6663, 343, 548, 16, 374, 26765, 2098, 2269, 428, 309, 13258, 14025, 16, 453, 289, 309, 8990, 18067, 18, 1598, 15053, 429, 734, 5030, 942, 3604, 519, 23352, 32364, 33722, 18, 13640, 331, 37154, 918, 10432, 44441, 874, 3716, 9874, 9443, 276, 281, 4866, 800, 43716, 2611, 289, 21043, 17617, 286, 16, 6895, 5904, 668, 3291, 2848, 16, 515, 541, 2742, 24737, 5658, 4037, 27984, 6149, 309, 734, 26500, 18, 26468, 4981, 12907, 411, 734, 5030, 11762, 2638, 18, 4663, 2003, 32087, 282, 21371, 281, 1679, 13432, 41752, 289, 21333, 2608, 18, 4185, 46118, 918, 7737, 47948, 506, 16, 1038, 3014, 12606, 28540, 28092, 289, 33326, 622, 18, 16577, 6711, 808, 46709, 25816, 530, 21920, 16297, 7671, 282, 4400, 4797, 20875, 18, 4320, 374, 24737, 23566, 2240, 411, 734, 5030, 12135, 541, 7018, 16, 515, 282, 22792, 745, 1698, 9555, 289, 282, 3338, 10713, 1165, 18, 478, 677, 7823, 1209, 813, 8232, 23131, 6171, 33722, 16, 726, 1314, 7556, 4266, 290, 21659, 505, 411, 24944, 16, 510, 41988, 47462, 345, 17, 6207, 2679, 18, 510, 996, 374, 43635, 1698, 1852, 13842, 17812, 33722, 541, 1512, 18, 2046, 28613, 656, 281, 41110, 541, 7018, 861, 4756, 282, 803, 1045, 11775, 726, 45950, 1512, 14446, 2904, 309, 11811, 6676, 13156, 33722, 651, 3057, 16, 27222, 282, 16283, 24944, 4226, 12474, 18, 824, 697, 47902, 16, 21641, 411, 3819, 15226, 289, 39897, 368, 7717, 432, 25938, 523, 322, 687, 8350, 9038, 38643, 3400, 33722, 16, 515, 289, 6353, 48686, 341, 4733, 15437, 1053, 1051, 770, 33666, 4426, 5914, 8608, 6394, 37912, 13410, 509, 18, 7250, 798, 11678, 2834, 379, 6699, 282, 2968, 12474, 8350, 21398, 8417, 37912, 13410, 509, 309, 3425, 18, 3791, 541, 1335, 4380, 8046, 21057, 289, 477, 12886, 9494, 16, 3057, 16, 502, 6546, 16, 453, 428, 541, 697, 4981, 8166, 8067, 3440, 7800, 289, 6846, 18 ]
[ 439, 1215, 29430, 647, 11590, 1055, 374, 2619, 18662, 281, 4947, 4611, 17356, 10931, 16, 828, 16, 3057, 16, 4819, 468, 2132, 510, 505, 8357, 7220, 4443, 575, 2223, 371, 7658, 10070, 2662, 6846, 18, 36838, 322, 329, 4286, 865, 6164, 33047, 1601, 4596, 289, 3819, 15226, 37423, 23801, 18, 22209, 5500, 15662, 9487, 1902, 56, 56, 282, 19030, 5658, 2089, 10784, 16, 1650, 275, 8779, 301, 8205, 10332, 1936, 47459, 411, 3819, 15226, 289, 7717, 432, 1601, 4596, 18, 4663, 18666, 289, 5852, 3147, 34208, 541, 13867, 469, 4811, 747, 508, 670, 469, 455, 399, 831, 18, 9371, 36804, 1902, 56, 56, 3447, 42226, 14019, 6746, 2682, 4360, 19117, 8779, 2300, 411, 24944, 281, 14358, 3769, 4887, 289, 24402, 14895, 1685, 714, 1869, 30, 371, 1033, 3358, 635, 35531, 840, 20895, 12036, 27164, 7644, 884, 289, 4417, 9864, 3887, 1545, 5852, 12474, 16, 371, 1033, 1758, 5620, 5852, 840, 4187, 390, 16, 367, 27164, 7644, 884, 510, 1143, 18, 6290, 8119, 761, 411, 24944, 5280, 4283, 11830, 18, 5333, 2175, 16, 1835, 2234, 12294, 9542, 519, 6459, 9, 33722, 18, 8741, 13448, 4586, 400, 4110, 16, 14853, 275, 773, 1061, 443, 2692, 9, 26574, 2155, 469, 4811, 747, 508, 289, 469, 455, 399, 831, 18, 3647, 15929, 3116, 343, 8779, 2356, 411, 24944, 282, 469, 455, 9425, 7083, 1909, 9337, 33722, 282, 1169, 282, 1421, 4570, 18, 4246, 7787, 281, 16056, 11772, 13258, 10026, 12107, 289, 15117, 839, 18, 36051, 13557, 11775, 13737, 290, 35148, 6870, 16, 29671, 38310, 6760, 635, 289, 37209, 1587, 505, 281, 44792, 323, 12494, 18, 11677, 465, 39897, 368, 3084, 3683, 1161, 16288, 16, 10381, 13269, 24192, 713, 20459, 16, 5915, 14830, 479, 412, 2237, 28818, 3737, 33977, 2773, 349, 1912, 3139, 18, 41360, 639, 11742, 7280, 18, 6373, 411, 15832, 2543, 16, 13904, 12866, 24192, 713, 314, 1518, 16, 2054, 6915, 12963, 265, 360, 39897, 368, 16288, 16, 961, 4400, 802, 567, 1212, 18, 1253, 35333, 35148, 321, 282, 11446, 16, 515, 518, 3215, 2156, 3516, 751, 411, 1047, 289, 2551, 288, 751, 334, 5555, 18, 11159, 14456, 8825, 8664, 364, 16, 374, 935, 294, 1972, 318, 16, 961, 33310, 18803, 23985, 16, 10432, 445, 2670, 319, 39901, 371, 6231, 464, 281, 1498, 18, 3782, 8470, 2235, 567, 820, 289, 27974, 10787, 35757, 282, 18020, 24944, 15597, 289, 1110, 575, 29741, 16891, 16, 4437, 10531, 24737, 18, 1591, 328, 510, 481, 26221, 320, 16, 6663, 3384, 18666, 2024, 2397, 28200, 477, 47692, 33977, 2773, 18, 2, 1, 87, 1456, 81, 2448, 30, 732, 38706, 6143, 689, 540, 8410, 541, 27014, 424, 25483, 7848, 478, 684, 314, 21181, 14571, 7876, 470, 6369, 1436, 2935, 2998, 18, 640, 478, 273, 570, 1683, 7985, 470, 282, 43788, 554, 482, 4755, 3484, 7015, 7059, 510, 478, 1605, 7376, 31427, 1269, 13674, 1809, 10208, 861, 48011, 33598, 1269, 899, 21444, 8060, 778, 1854, 16, 515, 16670, 14217, 2888, 505, 519, 16321, 1817, 4593, 6885, 33686, 16, 367, 764, 1882, 27328, 282, 5492, 32290, 507, 18, 31224, 30, 677, 11946, 282, 43788, 554, 482, 6382, 478, 273, 570, 6094, 1556, 470, 309, 6266, 478, 684, 314, 21181, 14571, 7876, 510, 870, 2403, 31427, 1269, 13674, 1809, 10208, 861, 31842, 16154, 6325, 15885, 10514, 451, 12760, 18, 13991, 306, 10539, 7920, 6190, 27144, 1901, 16891, 289, 9526, 6569, 290, 11184, 6325, 424, 25483, 7848, 478, 684, 314, 21181, 14571, 7876, 470, 22699, 282, 7337, 478, 4433, 14415, 26942, 5037, 7920, 6070, 22330, 39638, 18, 985, 10824, 1655, 26363, 16, 478, 36635, 10924, 322, 1982, 448, 5210, 16, 1639, 15434, 31948, 8044, 3662, 2001, 18, 5161, 16, 322, 37125, 10932, 324, 567, 8878, 16, 322, 40926, 319, 37316, 32177, 309, 46271, 16, 322, 8705, 334, 10856, 282, 9526, 16776, 16, 14642, 334, 17, 21362, 861, 459, 1381, 1139, 870, 5210, 23402, 11852, 289, 14583, 18384, 1519, 30, 478, 960, 15793, 1135, 16, 367, 975, 6020, 382, 9095, 26398, 30, 25250, 16, 23604, 686, 16, 374, 1336, 7239, 16, 367, 374, 322, 7239, 861, 967, 803, 282, 31678, 46557, 16, 374, 3300, 478, 684, 314, 32308, 14571, 7876, 470, 510, 4366, 11137, 2033, 22360, 411, 35734, 289, 31934, 9919, 1042, 16, 367, 1038, 411, 5781, 12466, 282, 43186, 10286, 27955, 6149, 294, 6120, 536, 289, 13993, 2509, 2805, 6086, 1354, 282, 3507, 18, 365, 3045, 2683, 10744, 33811, 4608, 9529, 4853, 374, 25656, 1157, 16, 664, 7525, 2508, 16, 374, 33371, 322, 1139, 2913, 324, 289, 8888, 27206, 16, 515, 289, 2654, 29657, 31498, 16, 367, 722, 12137, 942, 47620, 282, 588, 5202, 1766, 482, 18, 23656, 11042, 10323, 3011, 12978, 282, 3177, 45627, 18, 3557, 322, 2619, 8348, 33811, 26285, 2678, 23697, 290, 1190, 10514, 1147, 6296, 26310, 10208, 16, 1715, 1205, 2158, 2039, 645, 9935, 3326, 7240, 32269, 14443, 281, 528, 11014, 478, 28180, 10514, 434, 11919, 13306, 470, 424, 7848, 478, 1605, 7376, 31427, 1269, 13674, 1809, 10208, 861, 985, 3014, 411, 587, 395, 1219, 1018, 294, 3479, 552, 16, 478, 1605, 7376, 31427, 470, 14127, 282, 970, 2875, 289, 309, 478, 293, 8650, 379, 312, 8902, 9815, 290, 970, 16, 374, 4506, 549, 6334, 6321, 289, 1218, 26499, 425, 1512, 1623, 17812, 50255, 32054, 16, 15336, 21597, 11188, 1354, 289, 30106, 722, 5366, 861, 365, 8372, 37326, 478, 5918, 448, 870, 2257, 14399, 910, 478, 560, 288, 642, 289, 3775, 24186, 44396, 910, 478, 49888, 539, 49889, 6190, 21639, 434, 31858, 470, 289, 12638, 41918, 360, 36870, 432, 1791, 1817, 4593, 2355, 9412, 12538, 3850, 4465, 18, 824, 3163, 11050, 15719, 416, 8424, 43788, 8827, 30514, 20242, 3583, 16, 492, 6089, 282, 478, 1605, 14948, 11681, 409, 470, 1269, 41354, 16, 1660, 4419, 322, 23098, 282, 1888, 26999, 18, 478, 563, 11123, 5855, 4947, 4611, 8501, 11903, 428, 43577, 1372, 16, 367, 322, 3513, 11904, 541, 6885, 33686, 16, 36485, 2989, 309, 7601, 382, 16, 510, 2815, 20242, 512, 18, 510, 19813, 11904, 1943, 26200, 2904, 3779, 1330, 289, 3976, 17858, 1685, 18, 439, 481, 8501, 541, 27119, 289, 1512, 281, 23926, 3098, 389, 4520, 18, 740, 492, 939, 20168, 861, 5043, 16, 1247, 33493, 14399, 2390, 2989, 22881, 2354, 11123, 6507, 6325, 5702, 2886, 536, 18, 2949, 924, 16, 8059, 478, 1605, 6507, 19986, 470, 322, 939, 1040, 3484, 4364, 281, 21315, 265, 4887, 8300, 18164, 18380, 334, 9526, 12384, 18, 5161, 16, 428, 5130 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 439, 1215, 29430, 647, 11590, 1055, 374, 2619, 18662, 281, 4947, 4611, 17356, 10931, 16, 828, 16, 3057, 16, 4819, 468, 2132, 510, 505, 8357, 7220, 4443, 575, 2223, 371, 7658, 10070, 2662, 6846, 18, 36838, 322, 329, 4286, 865, 6164, 33047, 1601, 4596, 289, 3819, 15226, 37423, 23801, 18, 22209, 5500, 15662, 9487, 1902, 56, 56, 282, 19030, 5658, 2089, 10784, 16, 1650, 275, 8779, 301, 8205, 10332, 1936, 47459, 411, 3819, 15226, 289, 7717, 432, 1601, 4596, 18, 4663, 18666, 289, 5852, 3147, 34208, 541, 13867, 469, 4811, 747, 508, 670, 469, 455, 399, 831, 18, 9371, 36804, 1902, 56, 56, 3447, 42226, 14019, 6746, 2682, 4360, 19117, 8779, 2300, 411, 24944, 281, 14358, 3769, 4887, 289, 24402, 14895, 1685, 714, 1869, 30, 371, 1033, 3358, 635, 35531, 840, 20895, 12036, 27164, 7644, 884, 289, 4417, 9864, 3887, 1545, 5852, 12474, 16, 371, 1033, 1758, 5620, 5852, 840, 4187, 390, 16, 367, 27164, 7644, 884, 510, 1143, 18, 6290, 8119, 761, 411, 24944, 5280, 4283, 11830, 18, 5333, 2175, 16, 1835, 2234, 12294, 9542, 519, 6459, 9, 33722, 18, 8741, 13448, 4586, 400, 4110, 16, 14853, 275, 773, 1061, 443, 2692, 9, 26574, 2155, 469, 4811, 747, 508, 289, 469, 455, 399, 831, 18, 3647, 15929, 3116, 343, 8779, 2356, 411, 24944, 282, 469, 455, 9425, 7083, 1909, 9337, 33722, 282, 1169, 282, 1421, 4570, 18, 4246, 7787, 281, 16056, 11772, 13258, 10026, 12107, 289, 15117, 839, 18, 36051, 13557, 11775, 13737, 290, 35148, 6870, 16, 29671, 38310, 6760, 635, 289, 37209, 1587, 505, 281, 44792, 323, 12494, 18, 11677, 465, 39897, 368, 3084, 3683, 1161, 16288, 16, 10381, 13269, 24192, 713, 20459, 16, 5915, 14830, 479, 412, 2237, 28818, 3737, 33977, 2773, 349, 1912, 3139, 18, 41360, 639, 11742, 7280, 18, 6373, 411, 15832, 2543, 16, 13904, 12866, 24192, 713, 314, 1518, 16, 2054, 6915, 12963, 265, 360, 39897, 368, 16288, 16, 961, 4400, 802, 567, 1212, 18, 1253, 35333, 35148, 321, 282, 11446, 16, 515, 518, 3215, 2156, 3516, 751, 411, 1047, 289, 2551, 288, 751, 334, 5555, 18, 11159, 14456, 8825, 8664, 364, 16, 374, 935, 294, 1972, 318, 16, 961, 33310, 18803, 23985, 16, 10432, 445, 2670, 319, 39901, 371, 6231, 464, 281, 1498, 18, 3782, 8470, 2235, 567, 820, 289, 27974, 10787, 35757, 282, 18020, 24944, 15597, 289, 1110, 575, 29741, 16891, 16, 4437, 10531, 24737, 18, 1591, 328, 510, 481, 26221, 320, 16, 6663, 3384, 18666, 2024, 2397, 28200, 477, 47692, 33977, 2773, 18, 2, 1, 87, 1456, 81, 2448, 30, 732, 38706, 6143, 689, 540, 8410, 541, 27014, 424, 25483, 7848, 478, 684, 314, 21181, 14571, 7876, 470, 6369, 1436, 2935, 2998, 18, 640, 478, 273, 570, 1683, 7985, 470, 282, 43788, 554, 482, 4755, 3484, 7015, 7059, 510, 478, 1605, 7376, 31427, 1269, 13674, 1809, 10208, 861, 48011, 33598, 1269, 899, 21444, 8060, 778, 1854, 16, 515, 16670, 14217, 2888, 505, 519, 16321, 1817, 4593, 6885, 33686, 16, 367, 764, 1882, 27328, 282, 5492, 32290, 507, 18, 31224, 30, 677, 11946, 282, 43788, 554, 482, 6382, 478, 273, 570, 6094, 1556, 470, 309, 6266, 478, 684, 314, 21181, 14571, 7876, 510, 870, 2403, 31427, 1269, 13674, 1809, 10208, 861, 31842, 16154, 6325, 15885, 10514, 451, 12760, 18, 13991, 306, 10539, 7920, 6190, 27144, 1901, 16891, 289, 9526, 6569, 290, 11184, 6325, 424, 25483, 7848, 478, 684, 314, 21181, 14571, 7876, 470, 22699, 282, 7337, 478, 4433, 14415, 26942, 5037, 7920, 6070, 22330, 39638, 18, 985, 10824, 1655, 26363, 16, 478, 36635, 10924, 322, 1982, 448, 5210, 16, 1639, 15434, 31948, 8044, 3662, 2001, 18, 5161, 16, 322, 37125, 10932, 324, 567, 8878, 16, 322, 40926, 319, 37316, 32177, 309, 46271, 16, 322, 8705, 334, 10856, 282, 9526, 16776, 16, 14642, 334, 17, 21362, 861, 459, 1381, 1139, 870, 5210, 23402, 11852, 289, 14583, 18384, 1519, 30, 478, 960, 15793, 1135, 16, 367, 975, 6020, 382, 9095, 26398, 30, 25250, 16, 23604, 686, 16, 374, 1336, 7239, 16, 367, 374, 322, 7239, 861, 967, 803, 282, 31678, 46557, 16, 374, 3300, 478, 684, 314, 32308, 14571, 7876, 470, 510, 4366, 11137, 2033, 22360, 411, 35734, 289, 31934, 9919, 1042, 16, 367, 1038, 411, 5781, 12466, 282, 43186, 10286, 27955, 6149, 294, 6120, 536, 289, 13993, 2509, 2805, 6086, 1354, 282, 3507, 18, 365, 3045, 2683, 10744, 33811, 4608, 9529, 4853, 374, 25656, 1157, 16, 664, 7525, 2508, 16, 374, 33371, 322, 1139, 2913, 324, 289, 8888, 27206, 16, 515, 289, 2654, 29657, 31498, 16, 367, 722, 12137, 942, 47620, 282, 588, 5202, 1766, 482, 18, 23656, 11042, 10323, 3011, 12978, 282, 3177, 45627, 18, 3557, 322, 2619, 8348, 33811, 26285, 2678, 23697, 290, 1190, 10514, 1147, 6296, 26310, 10208, 16, 1715, 1205, 2158, 2039, 645, 9935, 3326, 7240, 32269, 14443, 281, 528, 11014, 478, 28180, 10514, 434, 11919, 13306, 470, 424, 7848, 478, 1605, 7376, 31427, 1269, 13674, 1809, 10208, 861, 985, 3014, 411, 587, 395, 1219, 1018, 294, 3479, 552, 16, 478, 1605, 7376, 31427, 470, 14127, 282, 970, 2875, 289, 309, 478, 293, 8650, 379, 312, 8902, 9815, 290, 970, 16, 374, 4506, 549, 6334, 6321, 289, 1218, 26499, 425, 1512, 1623, 17812, 50255, 32054, 16, 15336, 21597, 11188, 1354, 289, 30106, 722, 5366, 861, 365, 8372, 37326, 478, 5918, 448, 870, 2257, 14399, 910, 478, 560, 288, 642, 289, 3775, 24186, 44396, 910, 478, 49888, 539, 49889, 6190, 21639, 434, 31858, 470, 289, 12638, 41918, 360, 36870, 432, 1791, 1817, 4593, 2355, 9412, 12538, 3850, 4465, 18, 824, 3163, 11050, 15719, 416, 8424, 43788, 8827, 30514, 20242, 3583, 16, 492, 6089, 282, 478, 1605, 14948, 11681, 409, 470, 1269, 41354, 16, 1660, 4419, 322, 23098, 282, 1888, 26999, 18, 478, 563, 11123, 5855, 4947, 4611, 8501, 11903, 428, 43577, 1372, 16, 367, 322, 3513, 11904, 541, 6885, 33686, 16, 36485, 2989, 309, 7601, 382, 16, 510, 2815, 20242, 512, 18, 510, 19813, 11904, 1943, 26200, 2904, 3779, 1330, 289, 3976, 17858, 1685, 18, 439, 481, 8501, 541, 27119, 289, 1512, 281, 23926, 3098, 389, 4520, 18, 740, 492, 939, 20168, 861, 5043, 16, 1247, 33493, 14399, 2390, 2989, 22881, 2354, 11123, 6507, 6325, 5702, 2886, 536, 18, 2949, 924, 16, 8059, 478, 1605, 6507, 19986, 470, 322, 939, 1040, 3484, 4364, 281, 21315, 265, 4887, 8300, 18164, 18380, 334, 9526, 12384, 18, 5161, 16, 428, 5130 ]
[ 282, 25223, 16, 14429, 478, 404, 2125, 953, 38557, 3018, 309, 6120, 668, 289, 7178, 668, 11428, 5090, 16, 374, 2993, 5186, 1954, 4153, 18498, 31273, 5439, 4534, 1624, 18868, 5054, 289, 22861, 22398, 366, 861, 985, 32039, 22308, 478, 273, 570, 11458, 6692, 910, 2504, 289, 322, 9170, 4092, 4138, 11137, 2033, 3111, 309, 3177, 6718, 510, 22062, 475, 15596, 10668, 18, 478, 1009, 5528, 1135, 895, 309, 6449, 6718, 510, 481, 2990, 8026, 4164, 975, 12284, 2206, 16, 510, 2815, 22330, 39638, 18, 510, 740, 492, 322, 895, 25884, 6149, 282, 44463, 9937, 16, 322, 9259, 7975, 6780, 18, 459, 4521, 39432, 262, 16, 785, 1749, 322, 1698, 14833, 16, 10685, 34573, 16, 3057, 16, 309, 7573, 582, 510, 481, 1139, 12298, 861, 2949, 924, 16, 5273, 26363, 16, 478, 404, 10796, 878, 2574, 17639, 3018, 24163, 624, 281, 37179, 11248, 910, 867, 1033, 374, 5876, 1880, 25961, 6993, 31134, 7832, 294, 478, 960, 501, 2033, 2537, 49195, 861, 478, 23662, 764, 19323, 5298, 2874, 10825, 289, 15927, 481, 309, 19830, 910, 510, 4725, 22330, 39638, 18, 967, 803, 16, 5273, 492, 16, 31427, 1943, 953, 478, 17577, 342, 628, 470, 510, 18627, 16, 38444, 289, 18738, 282, 5492, 32290, 1015, 18, 478, 4670, 3937, 1135, 282, 7522, 16, 6844, 1686, 675, 1159, 289, 20347, 16, 374, 2955, 2240, 16, 753, 322, 639, 5074, 7113, 21584, 18, 889, 2197, 411, 6575, 28141, 910, 510, 2815, 26363, 18, 403, 2222, 575, 16, 334, 505, 4734, 16, 31427, 6721, 322, 687, 11137, 2033, 16, 515, 289, 478, 1024, 328, 2882, 395, 16, 961, 322, 1494, 24706, 325, 10985, 24042, 10208, 861, 365, 21283, 1967, 1280, 11009, 478, 273, 570, 11458, 6692, 470, 510, 7190, 10514, 432, 39204, 510, 836, 14269, 282, 32965, 290, 970, 16, 374, 478, 16226, 36434, 953, 41138, 14762, 910, 478, 17697, 7748, 8705, 334, 18544, 910, 478, 324, 26476, 282, 6588, 360, 5579, 17, 14723, 475, 4100, 948, 1133, 910, 367, 19187, 3125, 13411, 23030, 867, 16, 374, 478, 356, 5695, 3300, 861, 478, 16676, 481, 475, 31507, 282, 7522, 16, 30993, 31662, 873, 289, 367, 848, 32811, 5558, 467, 4402, 276, 597, 910, 510, 6455, 3203, 37870, 16040, 16, 18326, 21806, 742, 421, 12039, 7641, 18, 14998, 9058, 43788, 8827, 4137, 6698, 21322, 322, 20204, 289, 16, 3215, 4893, 38407, 9190, 6116, 3997, 309, 1756, 16, 18519, 34962, 6273, 294, 8540, 17407, 18, 824, 3163, 11050, 8506, 16475, 1816, 6020, 390, 366, 403, 2128, 339, 1592, 768, 671, 354, 3583, 16, 31427, 510, 478, 13775, 512, 1090, 451, 289, 20918, 8501, 861, 478, 5801, 17, 299, 21079, 315, 282, 19969, 6238, 17269, 750, 16, 374, 17, 299, 282, 45832, 16, 515, 912, 1033, 20406, 4465, 16, 290, 1639, 322, 5130, 13477, 18, 5161, 16, 942, 520, 28974, 8089, 3740, 454, 309, 4625, 861, 824, 505, 3163, 481, 16, 428, 289, 3333, 24479, 700, 16, 9466, 8040, 15350, 19801, 8243, 5303, 289, 45286, 15743, 28221, 1923, 334, 8823, 294, 11137, 2033, 18, 385, 2107, 1963, 16, 4101, 322, 13173, 16, 478, 1313, 895, 953, 34287, 12781, 1543, 575, 8089, 3740, 343, 861, 5043, 16, 8264, 309, 1247, 16, 374, 575, 17405, 35917, 282, 7345, 8410, 424, 33528, 7848, 478, 684, 314, 21181, 14571, 7876, 470, 289, 942, 520, 28974, 309, 30166, 4625, 322, 8089, 3740, 454, 16, 367, 16, 3057, 16, 949, 269, 2767, 670, 935, 20019, 1427, 16, 309, 478, 273, 570, 1683, 7985, 470, 453, 289, 322, 31844, 18, 478, 11233, 10677, 16, 374, 387, 23653, 34044, 465, 4092, 712, 16, 510, 2815, 1011, 13516, 16338, 6698, 21322, 18, 510, 1345, 15607, 16, 753, 898, 387, 3290, 318, 5210, 10108, 282, 1269, 13674, 4357, 3580, 18, 4922, 9200, 939, 25899, 18, 39104, 424, 7207, 3348, 47787, 475, 10337, 539, 24324, 861, 824, 505, 3163, 16, 541, 44273, 1967, 8410, 478, 34239, 4693, 1992, 3952, 7179, 4000, 910, 322, 10408, 396, 478, 780, 1891, 6792, 31427, 1718, 1731, 43242, 470, 289, 4705, 44491, 17778, 355, 18, 824, 4734, 15465, 22519, 17838, 282, 3187, 4267, 34512, 12097, 403, 1018, 45615, 16, 6439, 9452, 282, 478, 21639, 416, 14025, 910, 478, 8665, 1076, 48184, 282, 14548, 19986, 19415, 322, 834, 318, 470, 289, 478, 26707, 525, 35096, 27841, 1373, 322, 6721, 861, 740, 15127, 16645, 16, 5273, 403, 1018, 15226, 16, 9452, 282, 970, 16, 374, 2891, 3226, 478, 1567, 490, 530, 322, 281, 3217, 1963, 861, 478, 3096, 23666, 3162, 17456, 1087, 275, 15392, 12670, 282, 2095, 8390, 349, 25887, 26551, 2206, 8445, 309, 11753, 1967, 20043, 18, 1735, 290, 828, 1381, 3111, 16, 510, 2815, 492, 18, 510, 439, 656, 1650, 339, 31958, 5943, 454, 5, 36487, 13377, 1574, 28268, 3860, 2993, 46889, 322, 3447, 1447, 454, 16, 367, 3427, 722, 4075, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 3177, 16876, 8267, 1188, 2760, 9125, 282, 42361, 40128, 31617, 1798, 18462, 2261, 12994, 16, 367, 478, 1916, 406, 382, 470, 42100, 326, 478, 2997, 433, 607, 4807, 470, 282, 42620, 35772, 28737, 18, 31617, 1798, 14403, 16, 374, 48007, 38484, 29873, 322, 2438, 541, 1047, 49777, 18, 14427, 9680, 478, 1916, 406, 368, 470, 7838, 562, 6001, 3949, 1774, 267, 289, 18165, 6187, 7947, 2775, 15226, 36653, 567, 45627, 16, 374, 3554, 421, 22705, 401, 26655, 3736, 8616, 18, 31224, 30, 677, 11877, 40128, 31617, 1798, 7609, 4722, 10133, 349, 478, 1916, 406, 382, 470, 1188, 2760, 9125, 282, 42361, 18, 365, 4301, 42620, 18389, 28737, 29343, 451, 3216, 30682, 3893, 668, 5233, 3675, 8955, 1195, 478, 2997, 433, 607, 312, 3032, 861, 4016, 4120, 282, 6835, 17, 17553, 4243, 502, 16, 567, 374, 726, 2950, 1085, 16398, 651, 3210, 17, 299, 685, 22525, 37973, 282, 25909, 1251, 6918, 2855, 23904, 42361, 289, 42163, 12525, 18, 5333, 2175, 16, 2418, 29, 17, 22044, 451, 38484, 487, 6544, 294, 9747, 18, 7635, 1947, 28915, 1869, 16, 2091, 575, 16, 13152, 22581, 2089, 14535, 18, 740, 912, 329, 1710, 289, 6384, 549, 12483, 18, 24295, 20113, 11142, 3424, 5702, 749, 1634, 10235, 8460, 651, 11090, 29656, 421, 22705, 401, 289, 16, 2628, 16, 12097, 34858, 32813, 18, 4727, 21404, 13397, 613, 1055, 424, 11616, 16, 367, 31617, 1798, 726, 32022, 1475, 32881, 318, 18, 365, 505, 6231, 464, 281, 29343, 536, 29709, 912, 11299, 290, 22704, 282, 478, 822, 286, 551, 470, 334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 25223, 16, 14429, 478, 404, 2125, 953, 38557, 3018, 309, 6120, 668, 289, 7178, 668, 11428, 5090, 16, 374, 2993, 5186, 1954, 4153, 18498, 31273, 5439, 4534, 1624, 18868, 5054, 289, 22861, 22398, 366, 861, 985, 32039, 22308, 478, 273, 570, 11458, 6692, 910, 2504, 289, 322, 9170, 4092, 4138, 11137, 2033, 3111, 309, 3177, 6718, 510, 22062, 475, 15596, 10668, 18, 478, 1009, 5528, 1135, 895, 309, 6449, 6718, 510, 481, 2990, 8026, 4164, 975, 12284, 2206, 16, 510, 2815, 22330, 39638, 18, 510, 740, 492, 322, 895, 25884, 6149, 282, 44463, 9937, 16, 322, 9259, 7975, 6780, 18, 459, 4521, 39432, 262, 16, 785, 1749, 322, 1698, 14833, 16, 10685, 34573, 16, 3057, 16, 309, 7573, 582, 510, 481, 1139, 12298, 861, 2949, 924, 16, 5273, 26363, 16, 478, 404, 10796, 878, 2574, 17639, 3018, 24163, 624, 281, 37179, 11248, 910, 867, 1033, 374, 5876, 1880, 25961, 6993, 31134, 7832, 294, 478, 960, 501, 2033, 2537, 49195, 861, 478, 23662, 764, 19323, 5298, 2874, 10825, 289, 15927, 481, 309, 19830, 910, 510, 4725, 22330, 39638, 18, 967, 803, 16, 5273, 492, 16, 31427, 1943, 953, 478, 17577, 342, 628, 470, 510, 18627, 16, 38444, 289, 18738, 282, 5492, 32290, 1015, 18, 478, 4670, 3937, 1135, 282, 7522, 16, 6844, 1686, 675, 1159, 289, 20347, 16, 374, 2955, 2240, 16, 753, 322, 639, 5074, 7113, 21584, 18, 889, 2197, 411, 6575, 28141, 910, 510, 2815, 26363, 18, 403, 2222, 575, 16, 334, 505, 4734, 16, 31427, 6721, 322, 687, 11137, 2033, 16, 515, 289, 478, 1024, 328, 2882, 395, 16, 961, 322, 1494, 24706, 325, 10985, 24042, 10208, 861, 365, 21283, 1967, 1280, 11009, 478, 273, 570, 11458, 6692, 470, 510, 7190, 10514, 432, 39204, 510, 836, 14269, 282, 32965, 290, 970, 16, 374, 478, 16226, 36434, 953, 41138, 14762, 910, 478, 17697, 7748, 8705, 334, 18544, 910, 478, 324, 26476, 282, 6588, 360, 5579, 17, 14723, 475, 4100, 948, 1133, 910, 367, 19187, 3125, 13411, 23030, 867, 16, 374, 478, 356, 5695, 3300, 861, 478, 16676, 481, 475, 31507, 282, 7522, 16, 30993, 31662, 873, 289, 367, 848, 32811, 5558, 467, 4402, 276, 597, 910, 510, 6455, 3203, 37870, 16040, 16, 18326, 21806, 742, 421, 12039, 7641, 18, 14998, 9058, 43788, 8827, 4137, 6698, 21322, 322, 20204, 289, 16, 3215, 4893, 38407, 9190, 6116, 3997, 309, 1756, 16, 18519, 34962, 6273, 294, 8540, 17407, 18, 824, 3163, 11050, 8506, 16475, 1816, 6020, 390, 366, 403, 2128, 339, 1592, 768, 671, 354, 3583, 16, 31427, 510, 478, 13775, 512, 1090, 451, 289, 20918, 8501, 861, 478, 5801, 17, 299, 21079, 315, 282, 19969, 6238, 17269, 750, 16, 374, 17, 299, 282, 45832, 16, 515, 912, 1033, 20406, 4465, 16, 290, 1639, 322, 5130, 13477, 18, 5161, 16, 942, 520, 28974, 8089, 3740, 454, 309, 4625, 861, 824, 505, 3163, 481, 16, 428, 289, 3333, 24479, 700, 16, 9466, 8040, 15350, 19801, 8243, 5303, 289, 45286, 15743, 28221, 1923, 334, 8823, 294, 11137, 2033, 18, 385, 2107, 1963, 16, 4101, 322, 13173, 16, 478, 1313, 895, 953, 34287, 12781, 1543, 575, 8089, 3740, 343, 861, 5043, 16, 8264, 309, 1247, 16, 374, 575, 17405, 35917, 282, 7345, 8410, 424, 33528, 7848, 478, 684, 314, 21181, 14571, 7876, 470, 289, 942, 520, 28974, 309, 30166, 4625, 322, 8089, 3740, 454, 16, 367, 16, 3057, 16, 949, 269, 2767, 670, 935, 20019, 1427, 16, 309, 478, 273, 570, 1683, 7985, 470, 453, 289, 322, 31844, 18, 478, 11233, 10677, 16, 374, 387, 23653, 34044, 465, 4092, 712, 16, 510, 2815, 1011, 13516, 16338, 6698, 21322, 18, 510, 1345, 15607, 16, 753, 898, 387, 3290, 318, 5210, 10108, 282, 1269, 13674, 4357, 3580, 18, 4922, 9200, 939, 25899, 18, 39104, 424, 7207, 3348, 47787, 475, 10337, 539, 24324, 861, 824, 505, 3163, 16, 541, 44273, 1967, 8410, 478, 34239, 4693, 1992, 3952, 7179, 4000, 910, 322, 10408, 396, 478, 780, 1891, 6792, 31427, 1718, 1731, 43242, 470, 289, 4705, 44491, 17778, 355, 18, 824, 4734, 15465, 22519, 17838, 282, 3187, 4267, 34512, 12097, 403, 1018, 45615, 16, 6439, 9452, 282, 478, 21639, 416, 14025, 910, 478, 8665, 1076, 48184, 282, 14548, 19986, 19415, 322, 834, 318, 470, 289, 478, 26707, 525, 35096, 27841, 1373, 322, 6721, 861, 740, 15127, 16645, 16, 5273, 403, 1018, 15226, 16, 9452, 282, 970, 16, 374, 2891, 3226, 478, 1567, 490, 530, 322, 281, 3217, 1963, 861, 478, 3096, 23666, 3162, 17456, 1087, 275, 15392, 12670, 282, 2095, 8390, 349, 25887, 26551, 2206, 8445, 309, 11753, 1967, 20043, 18, 1735, 290, 828, 1381, 3111, 16, 510, 2815, 492, 18, 510, 439, 656, 1650, 339, 31958, 5943, 454, 5, 36487, 13377, 1574, 28268, 3860, 2993, 46889, 322, 3447, 1447, 454, 16, 367, 3427, 722, 4075, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 3177, 16876, 8267, 1188, 2760, 9125, 282, 42361, 40128, 31617, 1798, 18462, 2261, 12994, 16, 367, 478, 1916, 406, 382, 470, 42100, 326, 478, 2997, 433, 607, 4807, 470, 282, 42620, 35772, 28737, 18, 31617, 1798, 14403, 16, 374, 48007, 38484, 29873, 322, 2438, 541, 1047, 49777, 18, 14427, 9680, 478, 1916, 406, 368, 470, 7838, 562, 6001, 3949, 1774, 267, 289, 18165, 6187, 7947, 2775, 15226, 36653, 567, 45627, 16, 374, 3554, 421, 22705, 401, 26655, 3736, 8616, 18, 31224, 30, 677, 11877, 40128, 31617, 1798, 7609, 4722, 10133, 349, 478, 1916, 406, 382, 470, 1188, 2760, 9125, 282, 42361, 18, 365, 4301, 42620, 18389, 28737, 29343, 451, 3216, 30682, 3893, 668, 5233, 3675, 8955, 1195, 478, 2997, 433, 607, 312, 3032, 861, 4016, 4120, 282, 6835, 17, 17553, 4243, 502, 16, 567, 374, 726, 2950, 1085, 16398, 651, 3210, 17, 299, 685, 22525, 37973, 282, 25909, 1251, 6918, 2855, 23904, 42361, 289, 42163, 12525, 18, 5333, 2175, 16, 2418, 29, 17, 22044, 451, 38484, 487, 6544, 294, 9747, 18, 7635, 1947, 28915, 1869, 16, 2091, 575, 16, 13152, 22581, 2089, 14535, 18, 740, 912, 329, 1710, 289, 6384, 549, 12483, 18, 24295, 20113, 11142, 3424, 5702, 749, 1634, 10235, 8460, 651, 11090, 29656, 421, 22705, 401, 289, 16, 2628, 16, 12097, 34858, 32813, 18, 4727, 21404, 13397, 613, 1055, 424, 11616, 16, 367, 31617, 1798, 726, 32022, 1475, 32881, 318, 18, 365, 505, 6231, 464, 281, 29343, 536, 29709, 912, 11299, 290, 22704, 282, 478, 822, 286, 551, 470, 334 ]
[ 17147, 38484, 29873, 18, 981, 289, 583, 31617, 1798, 2002, 322, 38678, 16, 374, 16146, 304, 541, 1047, 5702, 42361, 16, 478, 280, 26212, 22417, 910, 309, 1754, 975, 16724, 3660, 289, 6281, 18, 20346, 31617, 1798, 282, 37449, 1809, 17578, 22038, 10042, 281, 14497, 17983, 289, 8731, 309, 6642, 1595, 29141, 368, 17736, 17, 361, 13098, 18, 14541, 448, 2170, 276, 898, 3029, 4633, 309, 11877, 289, 32763, 4633, 294, 2384, 1616, 42620, 18389, 28737, 1279, 478, 2997, 433, 607, 29056, 861, 478, 1916, 406, 382, 470, 11623, 35293, 16, 31617, 1798, 18462, 2261, 12994, 289, 1559, 3348, 411, 3322, 1619, 5534, 12525, 7977, 18, 824, 17147, 7977, 35170, 3215, 14545, 5331, 2170, 276, 18, 31617, 1798, 29608, 1209, 16, 1085, 2397, 2838, 4010, 17, 299, 6843, 294, 478, 1916, 406, 1876, 910, 367, 19633, 7586, 282, 6940, 445, 48484, 16, 374, 31617, 1798, 1595, 16, 30975, 2931, 778, 18, 478, 25444, 19790, 16, 374, 7863, 2678, 25953, 1336, 16, 784, 639, 939, 24288, 282, 478, 1916, 406, 1165, 910, 510, 2780, 31617, 1798, 18, 651, 365, 4698, 3678, 3027, 32568, 25467, 349, 8156, 18, 459, 16, 2091, 16, 5907, 6910, 21365, 2381, 289, 5645, 1918, 4966, 861, 510, 985, 387, 13517, 16, 374, 38484, 487, 3227, 1235, 35, 510, 2465, 14839, 4454, 289, 1109, 16, 374, 12735, 43571, 18, 996, 374, 1513, 639, 37737, 1954, 309, 22189, 282, 42361, 18, 16274, 15386, 417, 322, 29453, 16, 2780, 16520, 4465, 18, 629, 685, 2259, 294, 2222, 16, 374, 282, 3591, 2083, 895, 568, 5873, 18, 510, 832, 639, 3350, 1271, 423, 34495, 282, 5831, 1555, 8267, 35, 510, 2387, 18, 14097, 271, 289, 37347, 453, 575, 16, 428, 289, 1494, 18, 1787, 703, 2117, 349, 478, 1916, 406, 382, 470, 939, 25809, 18, 510, 14681, 8125, 8232, 478, 1916, 406, 382, 470, 749, 1304, 35, 510, 365, 10264, 808, 329, 4966, 10718, 17488, 18, 832, 15804, 4158, 29194, 16, 329, 478, 1916, 406, 368, 470, 939, 7653, 2452, 18, 510, 1397, 5780, 29591, 334, 5083, 5984, 29194, 35, 510, 6290, 22232, 8404, 13712, 289, 17556, 1904, 18908, 289, 8197, 703, 18, 1012, 1670, 289, 34447, 18, 510, 832, 3813, 309, 7426, 3749, 5706, 428, 17, 299, 20843, 2911, 25818, 5199, 35, 510, 11492, 10133, 417, 11408, 8714, 20843, 2911, 289, 22803, 874, 8257, 16, 753, 42053, 15364, 18, 365, 28915, 707, 912, 3433, 15713, 651, 827, 7193, 14393, 1211, 478, 15, 3114, 910, 502, 5462, 454, 678, 4745, 519, 7470, 1211, 16, 753, 322, 639, 5522, 19959, 18, 510, 1937, 855, 7844, 20864, 282, 478, 822, 286, 21508, 9519, 510, 985, 47139, 16, 1833, 39030, 49717, 18, 18233, 2156, 27955, 6149, 6886, 1069, 7096, 20892, 8902, 18, 403, 2222, 575, 23217, 551, 651, 6917, 49196, 16390, 282, 33937, 28915, 707, 18, 3026, 6392, 17118, 281, 21149, 1645, 16, 2391, 7732, 25255, 9040, 17971, 18, 629, 2760, 21748, 282, 1423, 8094, 289, 16, 10899, 16, 282, 1423, 1613, 1805, 18, 510, 385, 5045, 17, 299, 411, 478, 822, 286, 12754, 470, 42210, 35, 510, 2052, 297, 38048, 281, 41458, 16, 367, 492, 16, 282, 1423, 3678, 16, 281, 47663, 8996, 4309, 18, 3782, 23003, 706, 27883, 1280, 281, 26434, 334, 15286, 13148, 16, 322, 1033, 924, 18, 6023, 639, 16753, 14833, 281, 5071, 7923, 18, 510, 4950, 13446, 16, 374, 387, 6991, 21340, 478, 822, 286, 12754, 9519, 510, 35177, 37798, 37442, 322, 643, 38120, 32412, 18, 34231, 16, 374, 840, 18, 629, 1314, 282, 14157, 5492, 16, 12643, 516, 15999, 9972, 2955, 14476, 18, 510, 3379, 5550, 13205, 1089, 1354, 35, 510, 1591, 1514, 912, 1617, 41543, 289, 37982, 18, 2465, 1122, 5550, 16, 515, 322, 7696, 5169, 289, 6722, 18, 365, 6104, 1045, 41956, 7761, 18, 510, 1397, 1337, 26285, 808, 16, 2454, 3732, 282, 478, 1916, 406, 1165, 9519, 510, 365, 4698, 3678, 417, 4383, 289, 7846, 16, 5414, 417, 23521, 282, 12903, 349, 1177, 1205, 18, 3397, 417, 282, 14157, 5492, 424, 33575, 294, 4002, 4681, 282, 42361, 18, 510, 16204, 39089, 16, 502, 1379, 16628, 289, 42361, 651, 481, 6017, 289, 6020, 35, 510, 889, 1871, 5230, 18389, 18, 1937, 3336, 36485, 1048, 289, 11787, 1830, 373, 3441, 5199, 16, 502, 1833, 9648, 16, 374, 27162, 15596, 18, 2877, 478, 1916, 406, 1876, 470, 10412, 3660, 289, 6281, 334, 17, 29413, 16, 749, 421, 22705, 401, 18, 459, 9680, 7838, 562, 6001, 3949, 1774, 267, 1624, 289, 45940, 7947, 2775, 15226, 25262, 16, 374, 505, 10652, 2064, 4040, 28268, 47479, 541, 4966, 18, 478, 4348, 3932, 516, 5199, 281, 43903, 7530, 14725, 749, 421, 22705, 401, 16, 7820, 11723, 16, 510, 1109, 6001, 3949, 1774, 267, 18, 510, 459, 282, 5462, 582, 6705, 8900, 329, 813, 322, 639, 421, 22705, 401, 18, 640, 5734, 2083, 31617, 1798, 651, 1176, 411, 7878, 17353, 770, 5538, 18, 817, 685, 21908, 1176, 282, 478, 1916, 406, 1165, 910, 656, 14725, 309, 1047, 18, 3923, 16, 492, 939, 1269, 4263, 2759, 10434, 18, 23592, 16, 656, 3984, 5978, 975, 25283, 18, 608, 813, 912, 309, 6924, 781, 1293, 12525, 309, 505, 1756, 18, 740, 2900, 16, 5608, 417, 373, 2963, 16, 1055, 1003, 18, 439, 37856, 2332, 13913, 1299, 322, 6332, 18, 832, 3027, 7177, 280, 1855, 16, 515, 417, 3684, 16, 374, 656, 2458, 35990, 281, 44263, 421, 22705, 401, 861, 478, 672, 2729, 742, 477, 20954, 309, 4837, 18, 4777, 7946, 16, 374, 1135, 16, 1029, 7990, 282, 478, 1916, 406, 1165, 910, 840, 19676, 1379, 20113, 11142, 282, 19621, 6571, 3216, 416, 35772, 16, 510, 1109, 2775, 15226, 18, 510, 608, 11090, 29656, 912, 21657, 16171, 1852, 661, 6589, 32530, 282, 42361, 18, 3863, 23511, 16, 1029, 43057, 322, 3730, 13049, 16, 1943, 8538, 31617, 1798, 272, 309, 4356, 18, 2320, 33146, 883, 10652, 2064, 1559, 14679, 43131, 16, 1548, 374, 898, 9012, 16, 2259, 520, 492, 6281, 282, 42361, 18, 740, 492, 3404, 14887, 12182, 4024, 18, 4922, 32831, 16, 2454, 3626, 478, 1916, 406, 1165, 910, 20147, 975, 27714, 4769, 289, 31661, 360, 28564, 18, 817, 1559, 6478, 2659, 289, 2992, 9106, 282, 42361, 1943, 1559, 8030, 18, 1345, 475, 24134, 16, 374, 481, 30248, 16, 289, 2552, 1119, 1381, 12571, 1291, 18, 365, 478, 1916, 406, 1165, 470, 1269, 19068, 12525, 16, 515, 1494, 6453, 1749, 16, 961, 16004, 17171, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17147, 38484, 29873, 18, 981, 289, 583, 31617, 1798, 2002, 322, 38678, 16, 374, 16146, 304, 541, 1047, 5702, 42361, 16, 478, 280, 26212, 22417, 910, 309, 1754, 975, 16724, 3660, 289, 6281, 18, 20346, 31617, 1798, 282, 37449, 1809, 17578, 22038, 10042, 281, 14497, 17983, 289, 8731, 309, 6642, 1595, 29141, 368, 17736, 17, 361, 13098, 18, 14541, 448, 2170, 276, 898, 3029, 4633, 309, 11877, 289, 32763, 4633, 294, 2384, 1616, 42620, 18389, 28737, 1279, 478, 2997, 433, 607, 29056, 861, 478, 1916, 406, 382, 470, 11623, 35293, 16, 31617, 1798, 18462, 2261, 12994, 289, 1559, 3348, 411, 3322, 1619, 5534, 12525, 7977, 18, 824, 17147, 7977, 35170, 3215, 14545, 5331, 2170, 276, 18, 31617, 1798, 29608, 1209, 16, 1085, 2397, 2838, 4010, 17, 299, 6843, 294, 478, 1916, 406, 1876, 910, 367, 19633, 7586, 282, 6940, 445, 48484, 16, 374, 31617, 1798, 1595, 16, 30975, 2931, 778, 18, 478, 25444, 19790, 16, 374, 7863, 2678, 25953, 1336, 16, 784, 639, 939, 24288, 282, 478, 1916, 406, 1165, 910, 510, 2780, 31617, 1798, 18, 651, 365, 4698, 3678, 3027, 32568, 25467, 349, 8156, 18, 459, 16, 2091, 16, 5907, 6910, 21365, 2381, 289, 5645, 1918, 4966, 861, 510, 985, 387, 13517, 16, 374, 38484, 487, 3227, 1235, 35, 510, 2465, 14839, 4454, 289, 1109, 16, 374, 12735, 43571, 18, 996, 374, 1513, 639, 37737, 1954, 309, 22189, 282, 42361, 18, 16274, 15386, 417, 322, 29453, 16, 2780, 16520, 4465, 18, 629, 685, 2259, 294, 2222, 16, 374, 282, 3591, 2083, 895, 568, 5873, 18, 510, 832, 639, 3350, 1271, 423, 34495, 282, 5831, 1555, 8267, 35, 510, 2387, 18, 14097, 271, 289, 37347, 453, 575, 16, 428, 289, 1494, 18, 1787, 703, 2117, 349, 478, 1916, 406, 382, 470, 939, 25809, 18, 510, 14681, 8125, 8232, 478, 1916, 406, 382, 470, 749, 1304, 35, 510, 365, 10264, 808, 329, 4966, 10718, 17488, 18, 832, 15804, 4158, 29194, 16, 329, 478, 1916, 406, 368, 470, 939, 7653, 2452, 18, 510, 1397, 5780, 29591, 334, 5083, 5984, 29194, 35, 510, 6290, 22232, 8404, 13712, 289, 17556, 1904, 18908, 289, 8197, 703, 18, 1012, 1670, 289, 34447, 18, 510, 832, 3813, 309, 7426, 3749, 5706, 428, 17, 299, 20843, 2911, 25818, 5199, 35, 510, 11492, 10133, 417, 11408, 8714, 20843, 2911, 289, 22803, 874, 8257, 16, 753, 42053, 15364, 18, 365, 28915, 707, 912, 3433, 15713, 651, 827, 7193, 14393, 1211, 478, 15, 3114, 910, 502, 5462, 454, 678, 4745, 519, 7470, 1211, 16, 753, 322, 639, 5522, 19959, 18, 510, 1937, 855, 7844, 20864, 282, 478, 822, 286, 21508, 9519, 510, 985, 47139, 16, 1833, 39030, 49717, 18, 18233, 2156, 27955, 6149, 6886, 1069, 7096, 20892, 8902, 18, 403, 2222, 575, 23217, 551, 651, 6917, 49196, 16390, 282, 33937, 28915, 707, 18, 3026, 6392, 17118, 281, 21149, 1645, 16, 2391, 7732, 25255, 9040, 17971, 18, 629, 2760, 21748, 282, 1423, 8094, 289, 16, 10899, 16, 282, 1423, 1613, 1805, 18, 510, 385, 5045, 17, 299, 411, 478, 822, 286, 12754, 470, 42210, 35, 510, 2052, 297, 38048, 281, 41458, 16, 367, 492, 16, 282, 1423, 3678, 16, 281, 47663, 8996, 4309, 18, 3782, 23003, 706, 27883, 1280, 281, 26434, 334, 15286, 13148, 16, 322, 1033, 924, 18, 6023, 639, 16753, 14833, 281, 5071, 7923, 18, 510, 4950, 13446, 16, 374, 387, 6991, 21340, 478, 822, 286, 12754, 9519, 510, 35177, 37798, 37442, 322, 643, 38120, 32412, 18, 34231, 16, 374, 840, 18, 629, 1314, 282, 14157, 5492, 16, 12643, 516, 15999, 9972, 2955, 14476, 18, 510, 3379, 5550, 13205, 1089, 1354, 35, 510, 1591, 1514, 912, 1617, 41543, 289, 37982, 18, 2465, 1122, 5550, 16, 515, 322, 7696, 5169, 289, 6722, 18, 365, 6104, 1045, 41956, 7761, 18, 510, 1397, 1337, 26285, 808, 16, 2454, 3732, 282, 478, 1916, 406, 1165, 9519, 510, 365, 4698, 3678, 417, 4383, 289, 7846, 16, 5414, 417, 23521, 282, 12903, 349, 1177, 1205, 18, 3397, 417, 282, 14157, 5492, 424, 33575, 294, 4002, 4681, 282, 42361, 18, 510, 16204, 39089, 16, 502, 1379, 16628, 289, 42361, 651, 481, 6017, 289, 6020, 35, 510, 889, 1871, 5230, 18389, 18, 1937, 3336, 36485, 1048, 289, 11787, 1830, 373, 3441, 5199, 16, 502, 1833, 9648, 16, 374, 27162, 15596, 18, 2877, 478, 1916, 406, 1876, 470, 10412, 3660, 289, 6281, 334, 17, 29413, 16, 749, 421, 22705, 401, 18, 459, 9680, 7838, 562, 6001, 3949, 1774, 267, 1624, 289, 45940, 7947, 2775, 15226, 25262, 16, 374, 505, 10652, 2064, 4040, 28268, 47479, 541, 4966, 18, 478, 4348, 3932, 516, 5199, 281, 43903, 7530, 14725, 749, 421, 22705, 401, 16, 7820, 11723, 16, 510, 1109, 6001, 3949, 1774, 267, 18, 510, 459, 282, 5462, 582, 6705, 8900, 329, 813, 322, 639, 421, 22705, 401, 18, 640, 5734, 2083, 31617, 1798, 651, 1176, 411, 7878, 17353, 770, 5538, 18, 817, 685, 21908, 1176, 282, 478, 1916, 406, 1165, 910, 656, 14725, 309, 1047, 18, 3923, 16, 492, 939, 1269, 4263, 2759, 10434, 18, 23592, 16, 656, 3984, 5978, 975, 25283, 18, 608, 813, 912, 309, 6924, 781, 1293, 12525, 309, 505, 1756, 18, 740, 2900, 16, 5608, 417, 373, 2963, 16, 1055, 1003, 18, 439, 37856, 2332, 13913, 1299, 322, 6332, 18, 832, 3027, 7177, 280, 1855, 16, 515, 417, 3684, 16, 374, 656, 2458, 35990, 281, 44263, 421, 22705, 401, 861, 478, 672, 2729, 742, 477, 20954, 309, 4837, 18, 4777, 7946, 16, 374, 1135, 16, 1029, 7990, 282, 478, 1916, 406, 1165, 910, 840, 19676, 1379, 20113, 11142, 282, 19621, 6571, 3216, 416, 35772, 16, 510, 1109, 2775, 15226, 18, 510, 608, 11090, 29656, 912, 21657, 16171, 1852, 661, 6589, 32530, 282, 42361, 18, 3863, 23511, 16, 1029, 43057, 322, 3730, 13049, 16, 1943, 8538, 31617, 1798, 272, 309, 4356, 18, 2320, 33146, 883, 10652, 2064, 1559, 14679, 43131, 16, 1548, 374, 898, 9012, 16, 2259, 520, 492, 6281, 282, 42361, 18, 740, 492, 3404, 14887, 12182, 4024, 18, 4922, 32831, 16, 2454, 3626, 478, 1916, 406, 1165, 910, 20147, 975, 27714, 4769, 289, 31661, 360, 28564, 18, 817, 1559, 6478, 2659, 289, 2992, 9106, 282, 42361, 1943, 1559, 8030, 18, 1345, 475, 24134, 16, 374, 481, 30248, 16, 289, 2552, 1119, 1381, 12571, 1291, 18, 365, 478, 1916, 406, 1165, 470, 1269, 19068, 12525, 16, 515, 1494, 6453, 1749, 16, 961, 16004, 17171, 18 ]
[ 985, 481, 8164, 31617, 1798, 18, 608, 813, 1003, 26403, 975, 16, 289, 329, 813, 1747, 3860, 282, 9547, 18, 740, 656, 475, 5641, 18219, 16, 785, 15028, 22312, 11389, 16, 374, 282, 3591, 2083, 492, 895, 17560, 861, 11333, 7036, 289, 14326, 16287, 942, 5298, 309, 7759, 28915, 11536, 2297, 1020, 643, 523, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 274, 4367, 18372, 34073, 434, 18008, 45372, 360, 16422, 895, 953, 30398, 282, 11500, 3734, 779, 18, 16424, 12529, 10828, 313, 871, 840, 17432, 309, 45372, 8989, 77, 30, 492, 1320, 8030, 289, 502, 3211, 16811, 34073, 837, 18, 889, 10546, 43229, 349, 2852, 4776, 18, 365, 3998, 3734, 779, 16422, 1038, 15069, 27328, 23819, 1061, 55, 289, 18120, 7911, 17915, 18, 31224, 30, 9865, 5934, 783, 16422, 15069, 6348, 13150, 4367, 18372, 34073, 434, 18008, 45372, 282, 11500, 3734, 779, 16, 6442, 13156, 33735, 27511, 19328, 1050, 2007, 13855, 18, 16424, 12529, 10828, 313, 871, 840, 17432, 309, 45372, 8989, 77, 16, 1474, 4651, 282, 12354, 16, 678, 840, 8030, 289, 3440, 28593, 7475, 309, 1032, 6322, 334, 13179, 16, 2123, 6322, 334, 13803, 404, 289, 491, 6322, 334, 10854, 18, 3911, 1225, 356, 433, 27257, 871, 14481, 1658, 16, 27, 21656, 429, 16, 515, 14578, 840, 26449, 48607, 14978, 26012, 20459, 16, 961, 11292, 541, 19675, 382, 18, 41632, 4651, 45372, 4040, 16865, 27257, 8328, 16, 1029, 16422, 47473, 349, 4101, 2852, 4776, 18, 365, 12354, 3785, 22644, 5914, 11465, 6029, 34073, 434, 18008, 510, 45372, 12194, 77, 18, 47339, 639, 2039, 645, 9368, 1248, 13591, 1011, 8712, 8508, 27257, 871, 42250, 13098, 510, 45372, 816, 18, 18919, 22150, 45372, 12194, 77, 4896, 1409, 16, 29, 21656, 429, 16, 47778, 27257, 871, 510, 1409, 16, 22, 6322, 18, 889, 3440, 16, 828, 282, 16876, 6046, 763, 45372, 816, 16, 4162, 22150, 2024, 4896, 1658, 16, 27, 21656, 429, 16, 367, 47778, 2511, 16, 24, 6322, 18, 2112, 30104, 45372, 8989, 77, 14697, 4732, 40829, 16, 374, 24560, 28261, 18427, 3741, 15297, 16, 2019, 309, 3531, 15182, 5676, 7043, 289, 24278, 440, 16075, 49254, 15297, 510, 481, 15068, 41025, 319, 46339, 281, 10982, 18, 478, 780, 286, 5847, 2272, 19504, 3508, 40909, 3531, 8578, 5511, 289, 281, 3195, 24278, 440, 4646, 343, 553, 49254, 7911, 17, 14442, 366, 17877, 5335, 334, 44258, 35213, 291, 309, 8285, 39838, 32410, 2926, 24776, 360, 10982, 910, 510, 322, 5285, 2137, 12189, 12028, 20855, 91, 4962, 28108, 38416, 267, 18, 824, 3761, 15832, 680, 2241, 36981, 39, 16, 282, 4018, 1045, 14702, 16422, 309, 5814, 27257, 6464, 48686, 847, 519, 17736, 16, 28, 9, 281, 17185, 16, 23, 9, 282, 4440, 1045, 16, 4813, 309, 502, 374, 282, 803, 1045, 39805, 29611, 1272, 3741, 27257, 871, 16, 282, 970, 2875, 45372, 8989, 77, 18, 439, 14702, 27257, 6464, 309, 8285, 24776, 16, 7415, 16, 35471, 519, 13323, 16, 27, 9, 281, 11166, 16, 28, 9, 282, 4440, 1045, 18, 7758, 349, 4018, 1205, 840, 2245, 315, 42093, 16, 23, 3763, 27257, 6464, 18, 38416, 267, 1038, 33420, 16, 374, 43229, 4090, 10828, 313, 871, 1223, 1248, 2846, 5196, 1011, 8421, 26034, 8471, 35950, 25838, 16, 453, 428, 481, 31134, 21519, 305, 309, 10929, 32619, 5936, 18, 740, 282, 12838, 16422, 19352, 16, 374, 282, 5487, 1421, 2299, 20526, 10241, 45372, 12194, 77, 289, 45372, 26123, 11358, 3785, 26450, 455, 816, 3763, 34073, 432, 27343, 18, 33350, 572, 282, 1272, 4570, 17045, 3400, 1103, 3314, 282, 2615, 46915, 12776, 45372, 4339, 282, 11500, 4018, 779, 473, 21, 16, 25, 3763, 35213, 291, 814, 9873, 4090, 45372, 282, 5572, 27068, 1290, 3734, 779, 16422, 1038, 895, 6348, 764, 1272, 3741, 8578, 510, 23819, 1061, 55, 289, 18120, 7911, 17915, 18, 365, 11023, 3785, 2742, 42259, 289, 22990, 19213, 10355, 7562, 4194, 616, 432, 9172, 3690, 10685, 281, 3298, 29365, 680, 35420, 1021, 7463, 29349, 71, 6186, 39771, 3044, 289, 29022, 5731, 34945, 18, 15522, 2209, 36321, 13198, 19504, 895, 1852, 13155, 26687, 12267, 1162, 3785, 43985, 1753, 73, 16, 42390, 12866, 309, 15242, 43681, 9172, 3690, 18, 16422, 25599, 2678, 13913, 7321, 349, 4843, 37291, 3763, 18, 15522, 4562, 12922, 343, 2241, 10787, 43766, 25632, 448, 8578, 16, 282, 4810, 3652, 501, 2688, 576, 16, 8578, 16, 4153, 735, 1733, 47466, 289, 6366, 11695, 553, 16, 289, 311, 18, 302, 18, 2, 1, 87, 1456, 81, 2448, 30, 12039, 983, 14376, 1175, 19352, 290, 3741, 46953, 7811, 281, 7331, 758, 1240, 5326, 18, 2877, 697, 4732, 8664, 2666, 282, 4542, 453, 25168, 478, 436, 435, 18207, 470, 35439, 16, 785, 309, 36990, 13157, 5520, 16009, 17390, 289, 14891, 8064, 1867, 541, 10438, 475, 749, 18578, 13495, 18, 31224, 30, 630, 8481, 15538, 19734, 14820, 334, 28705, 13652, 9870, 1279, 7331, 432, 24792, 282, 22200, 6442, 282, 10666, 18, 365, 22200, 478, 46088, 18, 8381, 470, 40530, 16, 374, 15713, 478, 436, 435, 18207, 35439, 470, 19911, 455, 309, 1967, 27766, 567, 3725, 15209, 1175, 18, 478, 6039, 481, 13030, 309, 9185, 27073, 12457, 2553, 16, 24185, 2198, 282, 3998, 779, 309, 33913, 8231, 1175, 16, 510, 6442, 282, 27246, 18, 3791, 13462, 16, 374, 24724, 289, 45675, 2567, 35439, 1747, 4959, 506, 9444, 21030, 18911, 22200, 18, 478, 4408, 14371, 16, 827, 1135, 322, 12557, 281, 30855, 478, 31713, 1060, 382, 470, 309, 2969, 17088, 2188, 423, 16, 505, 38802, 2982, 1876, 16, 961, 18189, 329, 1047, 1196, 272, 7097, 16, 510, 9280, 492, 18, 651, 18162, 21261, 942, 840, 6886, 2654, 309, 23769, 16, 282, 16291, 432, 32518, 292, 18, 3026, 16, 988, 697, 1003, 16, 16979, 16, 428, 289, 1314, 16, 1747, 360, 1386, 649, 282, 39780, 22718, 861, 478, 677, 4301, 8689, 6246, 788, 3980, 1846, 43967, 7917, 675, 17390, 16, 45144, 289, 1888, 21746, 282, 36990, 2468, 5520, 8064, 1867, 475, 38843, 3674, 16, 371, 803, 8811, 450, 18819, 44963, 5296, 4286, 16979, 16, 510, 34259, 282, 27246, 18, 510, 967, 16715, 18118, 37010, 473, 431, 513, 890, 20335, 16, 35566, 30524, 17578, 10108, 289, 1888, 13, 43368, 32010, 35907, 15092, 5922, 861, 385, 10836, 575, 16, 25586, 9704, 9466, 329, 9573, 2632, 44769, 16, 282, 22200, 29865, 16285, 8302, 334, 14371, 18, 478, 5673, 323, 10383, 17985, 5432, 360, 3594, 5616, 536, 20534, 16, 282, 4599, 1047, 37349, 450, 18819, 371, 1261, 3494, 11371, 641 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 985, 481, 8164, 31617, 1798, 18, 608, 813, 1003, 26403, 975, 16, 289, 329, 813, 1747, 3860, 282, 9547, 18, 740, 656, 475, 5641, 18219, 16, 785, 15028, 22312, 11389, 16, 374, 282, 3591, 2083, 492, 895, 17560, 861, 11333, 7036, 289, 14326, 16287, 942, 5298, 309, 7759, 28915, 11536, 2297, 1020, 643, 523, 18, 2, 1, 87, 1456, 81, 2448, 30, 672, 274, 4367, 18372, 34073, 434, 18008, 45372, 360, 16422, 895, 953, 30398, 282, 11500, 3734, 779, 18, 16424, 12529, 10828, 313, 871, 840, 17432, 309, 45372, 8989, 77, 30, 492, 1320, 8030, 289, 502, 3211, 16811, 34073, 837, 18, 889, 10546, 43229, 349, 2852, 4776, 18, 365, 3998, 3734, 779, 16422, 1038, 15069, 27328, 23819, 1061, 55, 289, 18120, 7911, 17915, 18, 31224, 30, 9865, 5934, 783, 16422, 15069, 6348, 13150, 4367, 18372, 34073, 434, 18008, 45372, 282, 11500, 3734, 779, 16, 6442, 13156, 33735, 27511, 19328, 1050, 2007, 13855, 18, 16424, 12529, 10828, 313, 871, 840, 17432, 309, 45372, 8989, 77, 16, 1474, 4651, 282, 12354, 16, 678, 840, 8030, 289, 3440, 28593, 7475, 309, 1032, 6322, 334, 13179, 16, 2123, 6322, 334, 13803, 404, 289, 491, 6322, 334, 10854, 18, 3911, 1225, 356, 433, 27257, 871, 14481, 1658, 16, 27, 21656, 429, 16, 515, 14578, 840, 26449, 48607, 14978, 26012, 20459, 16, 961, 11292, 541, 19675, 382, 18, 41632, 4651, 45372, 4040, 16865, 27257, 8328, 16, 1029, 16422, 47473, 349, 4101, 2852, 4776, 18, 365, 12354, 3785, 22644, 5914, 11465, 6029, 34073, 434, 18008, 510, 45372, 12194, 77, 18, 47339, 639, 2039, 645, 9368, 1248, 13591, 1011, 8712, 8508, 27257, 871, 42250, 13098, 510, 45372, 816, 18, 18919, 22150, 45372, 12194, 77, 4896, 1409, 16, 29, 21656, 429, 16, 47778, 27257, 871, 510, 1409, 16, 22, 6322, 18, 889, 3440, 16, 828, 282, 16876, 6046, 763, 45372, 816, 16, 4162, 22150, 2024, 4896, 1658, 16, 27, 21656, 429, 16, 367, 47778, 2511, 16, 24, 6322, 18, 2112, 30104, 45372, 8989, 77, 14697, 4732, 40829, 16, 374, 24560, 28261, 18427, 3741, 15297, 16, 2019, 309, 3531, 15182, 5676, 7043, 289, 24278, 440, 16075, 49254, 15297, 510, 481, 15068, 41025, 319, 46339, 281, 10982, 18, 478, 780, 286, 5847, 2272, 19504, 3508, 40909, 3531, 8578, 5511, 289, 281, 3195, 24278, 440, 4646, 343, 553, 49254, 7911, 17, 14442, 366, 17877, 5335, 334, 44258, 35213, 291, 309, 8285, 39838, 32410, 2926, 24776, 360, 10982, 910, 510, 322, 5285, 2137, 12189, 12028, 20855, 91, 4962, 28108, 38416, 267, 18, 824, 3761, 15832, 680, 2241, 36981, 39, 16, 282, 4018, 1045, 14702, 16422, 309, 5814, 27257, 6464, 48686, 847, 519, 17736, 16, 28, 9, 281, 17185, 16, 23, 9, 282, 4440, 1045, 16, 4813, 309, 502, 374, 282, 803, 1045, 39805, 29611, 1272, 3741, 27257, 871, 16, 282, 970, 2875, 45372, 8989, 77, 18, 439, 14702, 27257, 6464, 309, 8285, 24776, 16, 7415, 16, 35471, 519, 13323, 16, 27, 9, 281, 11166, 16, 28, 9, 282, 4440, 1045, 18, 7758, 349, 4018, 1205, 840, 2245, 315, 42093, 16, 23, 3763, 27257, 6464, 18, 38416, 267, 1038, 33420, 16, 374, 43229, 4090, 10828, 313, 871, 1223, 1248, 2846, 5196, 1011, 8421, 26034, 8471, 35950, 25838, 16, 453, 428, 481, 31134, 21519, 305, 309, 10929, 32619, 5936, 18, 740, 282, 12838, 16422, 19352, 16, 374, 282, 5487, 1421, 2299, 20526, 10241, 45372, 12194, 77, 289, 45372, 26123, 11358, 3785, 26450, 455, 816, 3763, 34073, 432, 27343, 18, 33350, 572, 282, 1272, 4570, 17045, 3400, 1103, 3314, 282, 2615, 46915, 12776, 45372, 4339, 282, 11500, 4018, 779, 473, 21, 16, 25, 3763, 35213, 291, 814, 9873, 4090, 45372, 282, 5572, 27068, 1290, 3734, 779, 16422, 1038, 895, 6348, 764, 1272, 3741, 8578, 510, 23819, 1061, 55, 289, 18120, 7911, 17915, 18, 365, 11023, 3785, 2742, 42259, 289, 22990, 19213, 10355, 7562, 4194, 616, 432, 9172, 3690, 10685, 281, 3298, 29365, 680, 35420, 1021, 7463, 29349, 71, 6186, 39771, 3044, 289, 29022, 5731, 34945, 18, 15522, 2209, 36321, 13198, 19504, 895, 1852, 13155, 26687, 12267, 1162, 3785, 43985, 1753, 73, 16, 42390, 12866, 309, 15242, 43681, 9172, 3690, 18, 16422, 25599, 2678, 13913, 7321, 349, 4843, 37291, 3763, 18, 15522, 4562, 12922, 343, 2241, 10787, 43766, 25632, 448, 8578, 16, 282, 4810, 3652, 501, 2688, 576, 16, 8578, 16, 4153, 735, 1733, 47466, 289, 6366, 11695, 553, 16, 289, 311, 18, 302, 18, 2, 1, 87, 1456, 81, 2448, 30, 12039, 983, 14376, 1175, 19352, 290, 3741, 46953, 7811, 281, 7331, 758, 1240, 5326, 18, 2877, 697, 4732, 8664, 2666, 282, 4542, 453, 25168, 478, 436, 435, 18207, 470, 35439, 16, 785, 309, 36990, 13157, 5520, 16009, 17390, 289, 14891, 8064, 1867, 541, 10438, 475, 749, 18578, 13495, 18, 31224, 30, 630, 8481, 15538, 19734, 14820, 334, 28705, 13652, 9870, 1279, 7331, 432, 24792, 282, 22200, 6442, 282, 10666, 18, 365, 22200, 478, 46088, 18, 8381, 470, 40530, 16, 374, 15713, 478, 436, 435, 18207, 35439, 470, 19911, 455, 309, 1967, 27766, 567, 3725, 15209, 1175, 18, 478, 6039, 481, 13030, 309, 9185, 27073, 12457, 2553, 16, 24185, 2198, 282, 3998, 779, 309, 33913, 8231, 1175, 16, 510, 6442, 282, 27246, 18, 3791, 13462, 16, 374, 24724, 289, 45675, 2567, 35439, 1747, 4959, 506, 9444, 21030, 18911, 22200, 18, 478, 4408, 14371, 16, 827, 1135, 322, 12557, 281, 30855, 478, 31713, 1060, 382, 470, 309, 2969, 17088, 2188, 423, 16, 505, 38802, 2982, 1876, 16, 961, 18189, 329, 1047, 1196, 272, 7097, 16, 510, 9280, 492, 18, 651, 18162, 21261, 942, 840, 6886, 2654, 309, 23769, 16, 282, 16291, 432, 32518, 292, 18, 3026, 16, 988, 697, 1003, 16, 16979, 16, 428, 289, 1314, 16, 1747, 360, 1386, 649, 282, 39780, 22718, 861, 478, 677, 4301, 8689, 6246, 788, 3980, 1846, 43967, 7917, 675, 17390, 16, 45144, 289, 1888, 21746, 282, 36990, 2468, 5520, 8064, 1867, 475, 38843, 3674, 16, 371, 803, 8811, 450, 18819, 44963, 5296, 4286, 16979, 16, 510, 34259, 282, 27246, 18, 510, 967, 16715, 18118, 37010, 473, 431, 513, 890, 20335, 16, 35566, 30524, 17578, 10108, 289, 1888, 13, 43368, 32010, 35907, 15092, 5922, 861, 385, 10836, 575, 16, 25586, 9704, 9466, 329, 9573, 2632, 44769, 16, 282, 22200, 29865, 16285, 8302, 334, 14371, 18, 478, 5673, 323, 10383, 17985, 5432, 360, 3594, 5616, 536, 20534, 16, 282, 4599, 1047, 37349, 450, 18819, 371, 1261, 3494, 11371, 641 ]
[ 16235, 16657, 309, 5296, 37010, 281, 3195, 40244, 9104, 2969, 17088, 2188, 665, 289, 16, 371, 5941, 16, 492, 35181, 294, 20906, 17, 10474, 10202, 1864, 541, 5743, 19887, 641, 16235, 12091, 910, 510, 29865, 282, 27246, 18, 403, 28705, 13652, 9870, 1747, 7556, 26200, 14824, 289, 22674, 32277, 18, 832, 20846, 16, 374, 2733, 2175, 282, 22200, 15186, 289, 9258, 266, 10784, 14141, 1261, 3494, 16, 282, 5703, 1639, 322, 1698, 17884, 2419, 17774, 18, 365, 22200, 1038, 48484, 16, 374, 18863, 1357, 17948, 624, 349, 23010, 1623, 541, 11413, 16146, 416, 16213, 16, 44291, 9444, 2553, 289, 28106, 18, 478, 992, 452, 4581, 334, 25751, 7331, 432, 24792, 309, 22908, 1175, 33228, 467, 1033, 1949, 2634, 1135, 16, 510, 13462, 282, 23032, 2450, 1083, 299, 42837, 553, 18, 510, 33955, 13102, 4179, 397, 911, 966, 839, 9546, 448, 289, 43266, 10068, 861, 365, 27246, 6442, 16, 374, 13521, 281, 7331, 758, 1240, 5326, 13494, 30670, 4651, 4004, 16, 290, 828, 20839, 1817, 4958, 5418, 15774, 282, 1335, 6491, 16, 396, 14949, 6356, 381, 26352, 3741, 12153, 289, 4462, 6464, 541, 641, 16235, 12091, 24792, 16, 367, 1038, 13367, 17139, 14891, 17, 10474, 273, 13405, 16, 961, 6066, 802, 294, 1335, 3705, 18, 2949, 924, 16, 13462, 16, 374, 15713, 9468, 18207, 35439, 726, 2944, 289, 8103, 17110, 282, 1888, 7338, 2422, 18, 478, 684, 6095, 16, 3433, 15713, 1568, 324, 16, 510, 2815, 478, 46088, 18, 8381, 470, 4770, 39212, 2893, 27172, 6198, 39274, 49054, 7947, 34849, 375, 18, 510, 365, 46559, 15778, 11153, 8231, 912, 11299, 16, 5938, 5076, 30046, 541, 21958, 18984, 4076, 895, 953, 11506, 13652, 9870, 334, 49833, 10162, 26247, 12457, 18, 824, 8331, 1101, 16, 16979, 16, 1029, 1329, 322, 27809, 16, 8064, 1867, 1139, 453, 289, 726, 971, 9103, 2625, 8720, 861, 824, 4734, 457, 1668, 324, 16, 282, 13957, 9468, 18207, 35439, 38491, 1003, 18, 478, 5673, 639, 1494, 16, 1139, 381, 803, 3255, 2002, 322, 17930, 13196, 16, 367, 1441, 12002, 26003, 16, 510, 5273, 492, 18, 651, 629, 9763, 16, 374, 475, 481, 360, 16330, 617, 1209, 38103, 2891, 18, 22238, 4266, 16, 374, 1513, 12269, 42588, 282, 1533, 445, 16, 2393, 651, 2161, 1676, 282, 19189, 349, 583, 5809, 31455, 282, 7331, 547, 2100, 16, 42694, 510, 2072, 374, 17, 299, 18, 740, 475, 481, 13521, 281, 34196, 16, 367, 322, 281, 43864, 18, 439, 1967, 3322, 16959, 16, 502, 912, 7331, 432, 24792, 16, 3440, 322, 4362, 18, 391, 446, 315, 5370, 290, 12289, 9068, 289, 26675, 290, 970, 16, 428, 2141, 322, 30462, 7331, 434, 349, 21929, 18, 439, 481, 16, 428, 784, 3073, 16, 2891, 322, 1965, 18662, 16, 1548, 374, 1655, 840, 8067, 3440, 46724, 541, 4000, 289, 3440, 8170, 368, 541, 17390, 861, 365, 46168, 5439, 478, 46088, 18, 8381, 470, 6442, 16, 374, 282, 10264, 808, 309, 22908, 2553, 38348, 5851, 448, 10438, 281, 6244, 6726, 7620, 4095, 36193, 18, 996, 16, 282, 4315, 5706, 1747, 12570, 8811, 8231, 473, 404, 687, 22200, 934, 3569, 12829, 6514, 289, 12439, 18, 889, 840, 11742, 16, 753, 43104, 9080, 14576, 617, 281, 12070, 1003, 1636, 2596, 24792, 16, 367, 1038, 2141, 10784, 17948, 624, 349, 23010, 18, 824, 3761, 22200, 1175, 16, 282, 4018, 1045, 639, 34320, 1912, 1488, 10164, 19872, 13305, 281, 12070, 7331, 432, 24792, 18, 365, 1967, 36835, 292, 9100, 36675, 23, 1631, 16, 367, 764, 1281, 1286, 11842, 1135, 5684, 6911, 17336, 18, 2, 1, 87, 1456, 81, 2448, 30, 682, 1098, 26843, 9001, 2151, 18746, 21708, 11011, 26834, 448, 16411, 282, 29956, 18, 8444, 8643, 9744, 281, 42163, 353, 290, 48865, 5754, 289, 5009, 4840, 7898, 1801, 18, 1598, 17, 431, 13863, 22506, 1568, 39918, 8087, 2301, 42768, 309, 13269, 49171, 14943, 5228, 347, 41116, 16, 25118, 21056, 289, 478, 10880, 283, 555, 861, 31224, 30, 47604, 607, 2403, 4365, 16090, 391, 1098, 26843, 9001, 2151, 18746, 895, 282, 11023, 11011, 34314, 778, 26834, 451, 4704, 14207, 20121, 90, 77, 132, 106, 494, 411, 17, 431, 35595, 22506, 289, 22293, 1587, 2898, 309, 505, 15966, 309, 8011, 28397, 12142, 18, 478, 15883, 309, 25991, 14207, 20121, 90, 77, 132, 106, 494, 28784, 25899, 6295, 16, 13365, 8518, 9350, 536, 27932, 3025, 20144, 35165, 12893, 16, 510, 4848, 478, 46088, 18, 8381, 470, 5854, 2241, 18, 510, 1787, 40669, 9047, 289, 8421, 5754, 309, 5040, 749, 643, 276, 1825, 617, 9770, 2241, 1978, 857, 30292, 395, 21377, 290, 9347, 48865, 16, 3118, 35270, 13850, 697, 290, 32619, 4096, 861, 33021, 1080, 647, 3003, 2003, 3089, 519, 3915, 4120, 16, 46340, 492, 30, 282, 21514, 1750, 8125, 5754, 14207, 20121, 90, 77, 132, 106, 494, 12146, 424, 20129, 18, 33736, 12375, 48865, 3785, 322, 41666, 3519, 18, 4756, 34314, 1162, 30159, 44262, 1624, 374, 391, 1098, 26843, 14868, 5848, 35000, 8902, 17240, 16, 30025, 7898, 36397, 43427, 289, 21398, 14451, 2223, 1715, 19319, 16, 753, 19760, 43874, 11608, 18, 32799, 622, 10185, 4896, 491, 3763, 311, 29883, 289, 430, 16, 26, 3763, 311, 28769, 13006, 354, 18, 640, 25991, 20388, 2364, 23352, 7898, 18, 824, 30010, 416, 3352, 16, 33900, 10185, 282, 803, 1045, 1698, 14062, 3417, 3763, 7307, 18, 478, 27091, 394, 2722, 10185, 895, 9555, 6993, 21223, 16213, 411, 17, 431, 32940, 38301, 16, 367, 1038, 18060, 14938, 6231, 7113, 20394, 16, 1830, 13051, 315, 13190, 847, 309, 1069, 4678, 2241, 16, 3387, 4704, 4452, 282, 13155, 3041, 910, 510, 6881, 34450, 47030, 17, 24634, 18, 9584, 39918, 1519, 26834, 448, 16411, 8622, 16, 828, 1559, 310, 341, 355, 448, 16, 515, 282, 3198, 21958, 5754, 391, 1098, 26843, 4128, 5978, 309, 5939, 17605, 10355, 281, 379, 3951, 16, 961, 3785, 4419, 15082, 332, 309, 14207, 20121, 90, 77, 132, 106, 494, 16, 26698, 6096, 38546, 411, 1770, 22471, 18, 478, 26960, 12096, 2513, 2722, 10185, 541, 2241, 322, 4040, 30, 10933, 26834, 448, 16411, 2241, 32243, 1007, 1715, 3118, 910, 510, 10050, 492, 18, 37038, 42072, 391, 1098, 26843, 10787, 5270, 26233, 22240, 16, 2412, 5132, 2671, 1212, 4224, 390, 17, 289, 2870, 38533, 2042, 434, 13006, 354, 16, 367, 1038, 2458, 281, 19040, 353, 18, 391, 1098, 26843, 322, 2615, 19292, 309, 2513, 2722, 10185, 30, 10933, 35639, 6330, 349, 14693, 675, 1867, 1617, 16411, 282, 7044, 18, 25118, 21056, 764, 282, 12354, 14640, 364 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16235, 16657, 309, 5296, 37010, 281, 3195, 40244, 9104, 2969, 17088, 2188, 665, 289, 16, 371, 5941, 16, 492, 35181, 294, 20906, 17, 10474, 10202, 1864, 541, 5743, 19887, 641, 16235, 12091, 910, 510, 29865, 282, 27246, 18, 403, 28705, 13652, 9870, 1747, 7556, 26200, 14824, 289, 22674, 32277, 18, 832, 20846, 16, 374, 2733, 2175, 282, 22200, 15186, 289, 9258, 266, 10784, 14141, 1261, 3494, 16, 282, 5703, 1639, 322, 1698, 17884, 2419, 17774, 18, 365, 22200, 1038, 48484, 16, 374, 18863, 1357, 17948, 624, 349, 23010, 1623, 541, 11413, 16146, 416, 16213, 16, 44291, 9444, 2553, 289, 28106, 18, 478, 992, 452, 4581, 334, 25751, 7331, 432, 24792, 309, 22908, 1175, 33228, 467, 1033, 1949, 2634, 1135, 16, 510, 13462, 282, 23032, 2450, 1083, 299, 42837, 553, 18, 510, 33955, 13102, 4179, 397, 911, 966, 839, 9546, 448, 289, 43266, 10068, 861, 365, 27246, 6442, 16, 374, 13521, 281, 7331, 758, 1240, 5326, 13494, 30670, 4651, 4004, 16, 290, 828, 20839, 1817, 4958, 5418, 15774, 282, 1335, 6491, 16, 396, 14949, 6356, 381, 26352, 3741, 12153, 289, 4462, 6464, 541, 641, 16235, 12091, 24792, 16, 367, 1038, 13367, 17139, 14891, 17, 10474, 273, 13405, 16, 961, 6066, 802, 294, 1335, 3705, 18, 2949, 924, 16, 13462, 16, 374, 15713, 9468, 18207, 35439, 726, 2944, 289, 8103, 17110, 282, 1888, 7338, 2422, 18, 478, 684, 6095, 16, 3433, 15713, 1568, 324, 16, 510, 2815, 478, 46088, 18, 8381, 470, 4770, 39212, 2893, 27172, 6198, 39274, 49054, 7947, 34849, 375, 18, 510, 365, 46559, 15778, 11153, 8231, 912, 11299, 16, 5938, 5076, 30046, 541, 21958, 18984, 4076, 895, 953, 11506, 13652, 9870, 334, 49833, 10162, 26247, 12457, 18, 824, 8331, 1101, 16, 16979, 16, 1029, 1329, 322, 27809, 16, 8064, 1867, 1139, 453, 289, 726, 971, 9103, 2625, 8720, 861, 824, 4734, 457, 1668, 324, 16, 282, 13957, 9468, 18207, 35439, 38491, 1003, 18, 478, 5673, 639, 1494, 16, 1139, 381, 803, 3255, 2002, 322, 17930, 13196, 16, 367, 1441, 12002, 26003, 16, 510, 5273, 492, 18, 651, 629, 9763, 16, 374, 475, 481, 360, 16330, 617, 1209, 38103, 2891, 18, 22238, 4266, 16, 374, 1513, 12269, 42588, 282, 1533, 445, 16, 2393, 651, 2161, 1676, 282, 19189, 349, 583, 5809, 31455, 282, 7331, 547, 2100, 16, 42694, 510, 2072, 374, 17, 299, 18, 740, 475, 481, 13521, 281, 34196, 16, 367, 322, 281, 43864, 18, 439, 1967, 3322, 16959, 16, 502, 912, 7331, 432, 24792, 16, 3440, 322, 4362, 18, 391, 446, 315, 5370, 290, 12289, 9068, 289, 26675, 290, 970, 16, 428, 2141, 322, 30462, 7331, 434, 349, 21929, 18, 439, 481, 16, 428, 784, 3073, 16, 2891, 322, 1965, 18662, 16, 1548, 374, 1655, 840, 8067, 3440, 46724, 541, 4000, 289, 3440, 8170, 368, 541, 17390, 861, 365, 46168, 5439, 478, 46088, 18, 8381, 470, 6442, 16, 374, 282, 10264, 808, 309, 22908, 2553, 38348, 5851, 448, 10438, 281, 6244, 6726, 7620, 4095, 36193, 18, 996, 16, 282, 4315, 5706, 1747, 12570, 8811, 8231, 473, 404, 687, 22200, 934, 3569, 12829, 6514, 289, 12439, 18, 889, 840, 11742, 16, 753, 43104, 9080, 14576, 617, 281, 12070, 1003, 1636, 2596, 24792, 16, 367, 1038, 2141, 10784, 17948, 624, 349, 23010, 18, 824, 3761, 22200, 1175, 16, 282, 4018, 1045, 639, 34320, 1912, 1488, 10164, 19872, 13305, 281, 12070, 7331, 432, 24792, 18, 365, 1967, 36835, 292, 9100, 36675, 23, 1631, 16, 367, 764, 1281, 1286, 11842, 1135, 5684, 6911, 17336, 18, 2, 1, 87, 1456, 81, 2448, 30, 682, 1098, 26843, 9001, 2151, 18746, 21708, 11011, 26834, 448, 16411, 282, 29956, 18, 8444, 8643, 9744, 281, 42163, 353, 290, 48865, 5754, 289, 5009, 4840, 7898, 1801, 18, 1598, 17, 431, 13863, 22506, 1568, 39918, 8087, 2301, 42768, 309, 13269, 49171, 14943, 5228, 347, 41116, 16, 25118, 21056, 289, 478, 10880, 283, 555, 861, 31224, 30, 47604, 607, 2403, 4365, 16090, 391, 1098, 26843, 9001, 2151, 18746, 895, 282, 11023, 11011, 34314, 778, 26834, 451, 4704, 14207, 20121, 90, 77, 132, 106, 494, 411, 17, 431, 35595, 22506, 289, 22293, 1587, 2898, 309, 505, 15966, 309, 8011, 28397, 12142, 18, 478, 15883, 309, 25991, 14207, 20121, 90, 77, 132, 106, 494, 28784, 25899, 6295, 16, 13365, 8518, 9350, 536, 27932, 3025, 20144, 35165, 12893, 16, 510, 4848, 478, 46088, 18, 8381, 470, 5854, 2241, 18, 510, 1787, 40669, 9047, 289, 8421, 5754, 309, 5040, 749, 643, 276, 1825, 617, 9770, 2241, 1978, 857, 30292, 395, 21377, 290, 9347, 48865, 16, 3118, 35270, 13850, 697, 290, 32619, 4096, 861, 33021, 1080, 647, 3003, 2003, 3089, 519, 3915, 4120, 16, 46340, 492, 30, 282, 21514, 1750, 8125, 5754, 14207, 20121, 90, 77, 132, 106, 494, 12146, 424, 20129, 18, 33736, 12375, 48865, 3785, 322, 41666, 3519, 18, 4756, 34314, 1162, 30159, 44262, 1624, 374, 391, 1098, 26843, 14868, 5848, 35000, 8902, 17240, 16, 30025, 7898, 36397, 43427, 289, 21398, 14451, 2223, 1715, 19319, 16, 753, 19760, 43874, 11608, 18, 32799, 622, 10185, 4896, 491, 3763, 311, 29883, 289, 430, 16, 26, 3763, 311, 28769, 13006, 354, 18, 640, 25991, 20388, 2364, 23352, 7898, 18, 824, 30010, 416, 3352, 16, 33900, 10185, 282, 803, 1045, 1698, 14062, 3417, 3763, 7307, 18, 478, 27091, 394, 2722, 10185, 895, 9555, 6993, 21223, 16213, 411, 17, 431, 32940, 38301, 16, 367, 1038, 18060, 14938, 6231, 7113, 20394, 16, 1830, 13051, 315, 13190, 847, 309, 1069, 4678, 2241, 16, 3387, 4704, 4452, 282, 13155, 3041, 910, 510, 6881, 34450, 47030, 17, 24634, 18, 9584, 39918, 1519, 26834, 448, 16411, 8622, 16, 828, 1559, 310, 341, 355, 448, 16, 515, 282, 3198, 21958, 5754, 391, 1098, 26843, 4128, 5978, 309, 5939, 17605, 10355, 281, 379, 3951, 16, 961, 3785, 4419, 15082, 332, 309, 14207, 20121, 90, 77, 132, 106, 494, 16, 26698, 6096, 38546, 411, 1770, 22471, 18, 478, 26960, 12096, 2513, 2722, 10185, 541, 2241, 322, 4040, 30, 10933, 26834, 448, 16411, 2241, 32243, 1007, 1715, 3118, 910, 510, 10050, 492, 18, 37038, 42072, 391, 1098, 26843, 10787, 5270, 26233, 22240, 16, 2412, 5132, 2671, 1212, 4224, 390, 17, 289, 2870, 38533, 2042, 434, 13006, 354, 16, 367, 1038, 2458, 281, 19040, 353, 18, 391, 1098, 26843, 322, 2615, 19292, 309, 2513, 2722, 10185, 30, 10933, 35639, 6330, 349, 14693, 675, 1867, 1617, 16411, 282, 7044, 18, 25118, 21056, 764, 282, 12354, 14640, 364 ]
[ 4093, 1277, 454, 2458, 309, 23253, 1212, 25991, 25118, 21056, 1902, 561, 71, 2084, 3278, 32991, 863, 16, 515, 10117, 29653, 1122, 26834, 18, 365, 8151, 4120, 290, 31905, 33344, 2622, 5050, 962, 293, 1277, 47775, 21592, 291, 289, 26834, 434, 4981, 282, 31982, 16, 367, 1038, 7912, 2035, 20288, 305, 33284, 607, 2160, 10185, 309, 4862, 411, 17, 431, 26312, 416, 38305, 2087, 3828, 478, 10880, 11833, 861, 365, 11023, 840, 14640, 2773, 914, 3626, 26804, 309, 7813, 1212, 17021, 2241, 33911, 1200, 21262, 473, 3324, 16, 28, 9, 11400, 9914, 1387, 1147, 41596, 478, 19386, 7618, 470, 510, 45580, 5228, 347, 301, 11118, 814, 832, 3947, 798, 1038, 26324, 5754, 5228, 347, 301, 2509, 1624, 1176, 411, 14938, 17605, 510, 19883, 1162, 1802, 4886, 1200, 18, 385, 7664, 6150, 19744, 282, 7597, 26198, 289, 2393, 35639, 510, 8539, 32991, 863, 289, 4341, 27888, 514, 49, 561, 14962, 18, 478, 37182, 3860, 23350, 3306, 1559, 310, 341, 355, 668, 38327, 16, 685, 14640, 637, 1817, 13269, 8743, 18, 7409, 11918, 10070, 17808, 726, 26834, 448, 16411, 16, 510, 18584, 2712, 16922, 688, 7662, 405, 411, 504, 9827, 18, 510, 2080, 3452, 6773, 14574, 22506, 309, 1177, 8275, 334, 17, 6093, 15848, 318, 861, 13697, 3548, 10154, 549, 36638, 6295, 289, 11268, 32250, 27326, 16, 2588, 15244, 2891, 13269, 2044, 16, 26540, 48435, 16186, 309, 7934, 17010, 3821, 3200, 12109, 553, 510, 27099, 16, 7955, 289, 17401, 778, 8275, 18, 824, 16323, 25036, 16, 14685, 20572, 35639, 2257, 16411, 282, 7044, 14872, 12911, 3763, 311, 18, 824, 11526, 3756, 10940, 272, 41886, 15137, 13257, 2458, 473, 7189, 37, 934, 33225, 2458, 282, 24393, 263, 282, 4018, 1045, 7636, 847, 6152, 4440, 779, 309, 1061, 16, 26, 9, 510, 519, 41625, 16, 25, 3763, 311, 16, 367, 282, 3734, 1045, 35471, 1223, 309, 491, 16, 24, 9, 510, 519, 2418, 28, 3763, 311, 18, 2, 1, 87, 1456, 81, 2448, 30, 20636, 275, 11557, 38758, 7988, 3418, 16, 2390, 1815, 10855, 7179, 48025, 289, 40018, 625, 7001, 439, 4041, 46404, 16, 2815, 16, 374, 505, 14463, 322, 15279, 9373, 282, 2145, 541, 8264, 309, 3586, 6246, 16795, 6948, 287, 2145, 27837, 41867, 8367, 334, 6619, 290, 478, 13776, 1212, 11564, 21732, 470, 282, 4770, 1133, 11031, 2145, 4145, 779, 18, 7988, 3418, 9299, 16, 374, 5977, 41867, 8367, 2797, 4475, 439, 4041, 46404, 322, 2438, 541, 1047, 2570, 1685, 18, 31224, 30, 14102, 1074, 1815, 10855, 7179, 48025, 289, 40018, 625, 7001, 439, 4041, 4929, 367, 15320, 38758, 7988, 3418, 3828, 16, 374, 505, 14463, 322, 9733, 9373, 282, 2145, 16, 753, 11558, 309, 3586, 6246, 16795, 6948, 287, 2145, 27837, 41867, 8367, 18, 7988, 3418, 1038, 4725, 16, 374, 10159, 322, 1623, 541, 1047, 2570, 1685, 16, 1548, 374, 1177, 1247, 726, 6268, 709, 281, 43805, 23536, 18, 478, 4348, 381, 27861, 281, 15825, 6246, 16795, 6948, 287, 726, 1715, 1205, 16, 2391, 541, 813, 481, 322, 2438, 49777, 16, 510, 2815, 15320, 282, 17130, 44938, 18, 510, 1345, 47846, 9744, 16, 515, 1055, 322, 5087, 10529, 294, 31528, 28630, 766, 3051, 6152, 8468, 6342, 6036, 29424, 33014, 861, 7988, 3418, 12698, 16, 374, 10095, 2530, 1386, 20683, 282, 3320, 2438, 1756, 5743, 29836, 439, 4041, 31816, 18, 824, 505, 3163, 16, 7193, 41867, 8367, 478, 1369, 1851, 17, 299, 8386, 322, 3957, 9373, 282, 7522, 16, 367, 505, 8404, 322, 40193, 42196, 334, 5083, 13565, 3666, 861, 478, 15308, 2197, 6439, 510, 481, 3098, 6528, 16, 510, 5692, 30599, 18, 510, 6023, 7908, 23185, 16, 827, 4498, 3419, 687, 381, 2059, 17751, 9155, 861, 7988, 3418, 13744, 16, 374, 4498, 3419, 290, 9155, 282, 2145, 282, 4145, 1045, 16, 309, 1754, 6268, 977, 2678, 20187, 3495, 13958, 34031, 282, 3507, 16, 289, 5692, 16, 374, 505, 14463, 3893, 16, 374, 28565, 290, 1420, 322, 2946, 18, 4756, 14249, 41867, 3327, 13875, 10159, 309, 11506, 33691, 439, 4041, 46404, 334, 6619, 478, 262, 11564, 21732, 1175, 282, 4770, 1133, 11031, 2145, 4145, 779, 861, 365, 6104, 1045, 8851, 17154, 15320, 34031, 19209, 2839, 2817, 2815, 16, 374, 282, 12938, 4145, 779, 5104, 20449, 282, 32712, 36176, 28565, 17, 39121, 7609, 10927, 281, 7583, 16870, 16, 309, 1754, 8641, 906, 45939, 4957, 5768, 290, 29860, 16078, 864, 18307, 3997, 309, 505, 8972, 354, 768, 15044, 312, 37701, 18, 2839, 2817, 1038, 12698, 16, 374, 5112, 6388, 16, 428, 34031, 35270, 4110, 290, 2259, 26958, 9155, 289, 8540, 11330, 16, 1011, 1660, 6842, 868, 4263, 2159, 16896, 309, 722, 11506, 18, 2046, 13156, 282, 4377, 304, 4122, 18479, 16, 374, 2839, 2817, 9972, 322, 895, 10644, 17749, 1617, 10744, 510, 322, 5092, 4302, 10357, 2347, 670, 7288, 3158, 1594, 355, 16, 334, 3279, 942, 639, 373, 2820, 2023, 381, 14182, 27066, 34031, 290, 9155, 18, 439, 4041, 4929, 16, 282, 1423, 3678, 16, 1141, 482, 1738, 14267, 282, 1423, 2580, 289, 8566, 697, 44218, 758, 18, 478, 26174, 34856, 567, 3710, 750, 16, 428, 537, 7322, 481, 14368, 16, 309, 16775, 11031, 16, 510, 2815, 492, 1902, 3278, 18045, 18, 510, 6126, 510, 10431, 411, 30457, 16, 6232, 16764, 282, 3507, 18, 5257, 374, 417, 5112, 2060, 5035, 35109, 34031, 18, 889, 15527, 289, 2119, 10511, 539, 22204, 861, 439, 4041, 4929, 1038, 8580, 16, 374, 49628, 281, 14049, 34031, 510, 5035, 433, 3663, 16078, 3258, 376, 25253, 1757, 289, 3641, 14919, 282, 282, 12938, 4145, 779, 282, 6835, 17, 17553, 505, 10927, 281, 17234, 11675, 496, 9997, 355, 10071, 388, 2543, 761, 18, 817, 1109, 16, 374, 322, 3365, 16, 1085, 8409, 505, 4576, 16, 37697, 22071, 431, 439, 4041, 46404, 1624, 13848, 2089, 10927, 16, 2686, 5692, 16, 374, 678, 28009, 478, 296, 1792, 6326, 1734, 470, 289, 478, 307, 290, 828, 861, 378, 512, 1577, 289, 17635, 1038, 13744, 16, 374, 23540, 281, 16078, 3258, 764, 282, 3734, 1045, 282, 25287, 17, 12616, 486, 409, 309, 25909, 290, 13957, 10801, 478, 50013, 37271, 861, 22025, 539, 23315, 34031, 281, 16973, 547, 1623, 1055, 12181, 11789, 12230, 41867, 8367, 282, 4356, 8641, 23900, 5169, 439, 4041, 441, 1385, 282, 4770, 1133, 11031, 282, 2145, 18, 2263, 36618, 322, 37726, 18052, 281, 28343, 12984, 289, 935, 10490, 11368, 505, 282, 1634, 2224, 10375, 18, 12167, 2224, 293, 281, 12070, 6677, 4000, 7291, 478, 43, 1050, 14433, 36319, 861, 439 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4093, 1277, 454, 2458, 309, 23253, 1212, 25991, 25118, 21056, 1902, 561, 71, 2084, 3278, 32991, 863, 16, 515, 10117, 29653, 1122, 26834, 18, 365, 8151, 4120, 290, 31905, 33344, 2622, 5050, 962, 293, 1277, 47775, 21592, 291, 289, 26834, 434, 4981, 282, 31982, 16, 367, 1038, 7912, 2035, 20288, 305, 33284, 607, 2160, 10185, 309, 4862, 411, 17, 431, 26312, 416, 38305, 2087, 3828, 478, 10880, 11833, 861, 365, 11023, 840, 14640, 2773, 914, 3626, 26804, 309, 7813, 1212, 17021, 2241, 33911, 1200, 21262, 473, 3324, 16, 28, 9, 11400, 9914, 1387, 1147, 41596, 478, 19386, 7618, 470, 510, 45580, 5228, 347, 301, 11118, 814, 832, 3947, 798, 1038, 26324, 5754, 5228, 347, 301, 2509, 1624, 1176, 411, 14938, 17605, 510, 19883, 1162, 1802, 4886, 1200, 18, 385, 7664, 6150, 19744, 282, 7597, 26198, 289, 2393, 35639, 510, 8539, 32991, 863, 289, 4341, 27888, 514, 49, 561, 14962, 18, 478, 37182, 3860, 23350, 3306, 1559, 310, 341, 355, 668, 38327, 16, 685, 14640, 637, 1817, 13269, 8743, 18, 7409, 11918, 10070, 17808, 726, 26834, 448, 16411, 16, 510, 18584, 2712, 16922, 688, 7662, 405, 411, 504, 9827, 18, 510, 2080, 3452, 6773, 14574, 22506, 309, 1177, 8275, 334, 17, 6093, 15848, 318, 861, 13697, 3548, 10154, 549, 36638, 6295, 289, 11268, 32250, 27326, 16, 2588, 15244, 2891, 13269, 2044, 16, 26540, 48435, 16186, 309, 7934, 17010, 3821, 3200, 12109, 553, 510, 27099, 16, 7955, 289, 17401, 778, 8275, 18, 824, 16323, 25036, 16, 14685, 20572, 35639, 2257, 16411, 282, 7044, 14872, 12911, 3763, 311, 18, 824, 11526, 3756, 10940, 272, 41886, 15137, 13257, 2458, 473, 7189, 37, 934, 33225, 2458, 282, 24393, 263, 282, 4018, 1045, 7636, 847, 6152, 4440, 779, 309, 1061, 16, 26, 9, 510, 519, 41625, 16, 25, 3763, 311, 16, 367, 282, 3734, 1045, 35471, 1223, 309, 491, 16, 24, 9, 510, 519, 2418, 28, 3763, 311, 18, 2, 1, 87, 1456, 81, 2448, 30, 20636, 275, 11557, 38758, 7988, 3418, 16, 2390, 1815, 10855, 7179, 48025, 289, 40018, 625, 7001, 439, 4041, 46404, 16, 2815, 16, 374, 505, 14463, 322, 15279, 9373, 282, 2145, 541, 8264, 309, 3586, 6246, 16795, 6948, 287, 2145, 27837, 41867, 8367, 334, 6619, 290, 478, 13776, 1212, 11564, 21732, 470, 282, 4770, 1133, 11031, 2145, 4145, 779, 18, 7988, 3418, 9299, 16, 374, 5977, 41867, 8367, 2797, 4475, 439, 4041, 46404, 322, 2438, 541, 1047, 2570, 1685, 18, 31224, 30, 14102, 1074, 1815, 10855, 7179, 48025, 289, 40018, 625, 7001, 439, 4041, 4929, 367, 15320, 38758, 7988, 3418, 3828, 16, 374, 505, 14463, 322, 9733, 9373, 282, 2145, 16, 753, 11558, 309, 3586, 6246, 16795, 6948, 287, 2145, 27837, 41867, 8367, 18, 7988, 3418, 1038, 4725, 16, 374, 10159, 322, 1623, 541, 1047, 2570, 1685, 16, 1548, 374, 1177, 1247, 726, 6268, 709, 281, 43805, 23536, 18, 478, 4348, 381, 27861, 281, 15825, 6246, 16795, 6948, 287, 726, 1715, 1205, 16, 2391, 541, 813, 481, 322, 2438, 49777, 16, 510, 2815, 15320, 282, 17130, 44938, 18, 510, 1345, 47846, 9744, 16, 515, 1055, 322, 5087, 10529, 294, 31528, 28630, 766, 3051, 6152, 8468, 6342, 6036, 29424, 33014, 861, 7988, 3418, 12698, 16, 374, 10095, 2530, 1386, 20683, 282, 3320, 2438, 1756, 5743, 29836, 439, 4041, 31816, 18, 824, 505, 3163, 16, 7193, 41867, 8367, 478, 1369, 1851, 17, 299, 8386, 322, 3957, 9373, 282, 7522, 16, 367, 505, 8404, 322, 40193, 42196, 334, 5083, 13565, 3666, 861, 478, 15308, 2197, 6439, 510, 481, 3098, 6528, 16, 510, 5692, 30599, 18, 510, 6023, 7908, 23185, 16, 827, 4498, 3419, 687, 381, 2059, 17751, 9155, 861, 7988, 3418, 13744, 16, 374, 4498, 3419, 290, 9155, 282, 2145, 282, 4145, 1045, 16, 309, 1754, 6268, 977, 2678, 20187, 3495, 13958, 34031, 282, 3507, 16, 289, 5692, 16, 374, 505, 14463, 3893, 16, 374, 28565, 290, 1420, 322, 2946, 18, 4756, 14249, 41867, 3327, 13875, 10159, 309, 11506, 33691, 439, 4041, 46404, 334, 6619, 478, 262, 11564, 21732, 1175, 282, 4770, 1133, 11031, 2145, 4145, 779, 861, 365, 6104, 1045, 8851, 17154, 15320, 34031, 19209, 2839, 2817, 2815, 16, 374, 282, 12938, 4145, 779, 5104, 20449, 282, 32712, 36176, 28565, 17, 39121, 7609, 10927, 281, 7583, 16870, 16, 309, 1754, 8641, 906, 45939, 4957, 5768, 290, 29860, 16078, 864, 18307, 3997, 309, 505, 8972, 354, 768, 15044, 312, 37701, 18, 2839, 2817, 1038, 12698, 16, 374, 5112, 6388, 16, 428, 34031, 35270, 4110, 290, 2259, 26958, 9155, 289, 8540, 11330, 16, 1011, 1660, 6842, 868, 4263, 2159, 16896, 309, 722, 11506, 18, 2046, 13156, 282, 4377, 304, 4122, 18479, 16, 374, 2839, 2817, 9972, 322, 895, 10644, 17749, 1617, 10744, 510, 322, 5092, 4302, 10357, 2347, 670, 7288, 3158, 1594, 355, 16, 334, 3279, 942, 639, 373, 2820, 2023, 381, 14182, 27066, 34031, 290, 9155, 18, 439, 4041, 4929, 16, 282, 1423, 3678, 16, 1141, 482, 1738, 14267, 282, 1423, 2580, 289, 8566, 697, 44218, 758, 18, 478, 26174, 34856, 567, 3710, 750, 16, 428, 537, 7322, 481, 14368, 16, 309, 16775, 11031, 16, 510, 2815, 492, 1902, 3278, 18045, 18, 510, 6126, 510, 10431, 411, 30457, 16, 6232, 16764, 282, 3507, 18, 5257, 374, 417, 5112, 2060, 5035, 35109, 34031, 18, 889, 15527, 289, 2119, 10511, 539, 22204, 861, 439, 4041, 4929, 1038, 8580, 16, 374, 49628, 281, 14049, 34031, 510, 5035, 433, 3663, 16078, 3258, 376, 25253, 1757, 289, 3641, 14919, 282, 282, 12938, 4145, 779, 282, 6835, 17, 17553, 505, 10927, 281, 17234, 11675, 496, 9997, 355, 10071, 388, 2543, 761, 18, 817, 1109, 16, 374, 322, 3365, 16, 1085, 8409, 505, 4576, 16, 37697, 22071, 431, 439, 4041, 46404, 1624, 13848, 2089, 10927, 16, 2686, 5692, 16, 374, 678, 28009, 478, 296, 1792, 6326, 1734, 470, 289, 478, 307, 290, 828, 861, 378, 512, 1577, 289, 17635, 1038, 13744, 16, 374, 23540, 281, 16078, 3258, 764, 282, 3734, 1045, 282, 25287, 17, 12616, 486, 409, 309, 25909, 290, 13957, 10801, 478, 50013, 37271, 861, 22025, 539, 23315, 34031, 281, 16973, 547, 1623, 1055, 12181, 11789, 12230, 41867, 8367, 282, 4356, 8641, 23900, 5169, 439, 4041, 441, 1385, 282, 4770, 1133, 11031, 282, 2145, 18, 2263, 36618, 322, 37726, 18052, 281, 28343, 12984, 289, 935, 10490, 11368, 505, 282, 1634, 2224, 10375, 18, 12167, 2224, 293, 281, 12070, 6677, 4000, 7291, 478, 43, 1050, 14433, 36319, 861, 439 ]
[ 4041, 4929, 15885, 282, 1169, 1423, 16154, 2630, 13198, 10035, 30870, 282, 5503, 5035, 35109, 34031, 16, 6061, 382, 28565, 289, 768, 15044, 312, 37701, 281, 16052, 31358, 4000, 18, 9873, 1129, 282, 2224, 1035, 13672, 9840, 1312, 1285, 41899, 297, 1624, 28048, 333, 1198, 507, 37962, 353, 27400, 310, 267, 289, 18801, 40266, 49590, 268, 18, 28565, 726, 8566, 9868, 31619, 505, 281, 6347, 4838, 282, 4599, 1175, 478, 1567, 566, 323, 289, 4858, 18149, 861, 816, 3598, 13205, 5222, 3424, 8566, 14781, 478, 45586, 323, 309, 39642, 470, 289, 2864, 761, 23796, 505, 360, 9759, 1552, 510, 2567, 428, 6295, 281, 30218, 289, 5397, 2232, 6888, 281, 38979, 289, 5821, 1182, 14437, 473, 37460, 1960, 14210, 1880, 12735, 290, 18404, 26341, 814, 7042, 282, 2145, 1038, 12530, 31619, 1743, 439, 4041, 46404, 281, 18900, 1195, 11350, 17, 6385, 323, 9184, 5434, 12183, 34031, 510, 2227, 304, 1789, 324, 915, 496, 18, 2046, 14267, 282, 4459, 1789, 324, 46872, 322, 4247, 3361, 294, 41955, 41867, 8367, 16, 367, 11864, 281, 505, 32973, 1810, 309, 1376, 420, 7314, 309, 4862, 4874, 6298, 12466, 11350, 17, 40000, 17514, 34843, 18, 824, 3761, 41867, 8367, 16, 1789, 324, 28713, 28474, 309, 4862, 289, 8159, 296, 31788, 282, 2145, 1033, 4843, 5584, 3763, 18, 2, 1, 87, 1456, 81, 2448, 30, 36764, 3409, 1133, 33463, 1767, 38470, 1867, 26333, 16, 10716, 626, 2339, 411, 17, 1567, 30356, 567, 808, 568, 33966, 2682, 18, 4824, 411, 40888, 33639, 2279, 685, 37852, 2364, 7335, 4015, 392, 890, 18, 31224, 30, 677, 33463, 1767, 17774, 19547, 40888, 10716, 626, 2339, 26333, 18, 985, 3110, 5549, 2837, 8554, 8231, 16, 282, 11946, 9208, 6814, 415, 5246, 568, 33966, 4110, 19668, 5164, 289, 1949, 4717, 16, 46593, 349, 6911, 8150, 16, 411, 16200, 1347, 29277, 12519, 13611, 20268, 11159, 968, 18718, 12386, 282, 994, 2696, 16200, 755, 4855, 816, 11264, 718, 3700, 33463, 1767, 18, 824, 3761, 6233, 16, 334, 3427, 44902, 7994, 1176, 411, 46593, 21987, 13260, 14777, 29336, 30891, 18, 38795, 7834, 16, 17774, 40650, 5894, 282, 12825, 18259, 2840, 4809, 1204, 11264, 718, 3700, 18, 23891, 568, 33966, 483, 6858, 23594, 16, 374, 4243, 18, 1937, 1176, 411, 1129, 2780, 21071, 2979, 16, 3168, 7050, 281, 3590, 505, 281, 4091, 1335, 12078, 18, 46664, 26247, 745, 13732, 16238, 9334, 17074, 343, 289, 13274, 326, 1974, 281, 2059, 411, 4717, 17, 8665, 623, 7069, 16, 6309, 9314, 360, 8465, 282, 5474, 1484, 18, 1937, 9208, 5164, 289, 2197, 3708, 3516, 751, 309, 13602, 16, 745, 21367, 282, 37405, 14169, 5554, 42910, 17, 22, 2479, 27, 289, 27598, 282, 2580, 2001, 1870, 6845, 562, 473, 1369, 4734, 3594, 33515, 7920, 334, 33463, 1767, 16, 282, 2580, 40830, 34755, 814, 365, 10882, 3225, 3089, 5894, 16, 309, 1754, 37049, 10901, 1453, 18, 31139, 3828, 18629, 7768, 16, 374, 22015, 364, 33639, 2279, 282, 3948, 20268, 6315, 272, 460, 510, 5179, 5520, 16, 1586, 8643, 289, 309, 30612, 11717, 16, 289, 309, 1870, 6845, 562, 18, 4802, 10292, 3337, 4283, 505, 309, 14785, 622, 294, 5474, 877, 18, 365, 1767, 34950, 3010, 478, 677, 43950, 910, 1992, 17154, 2452, 8581, 1390, 309, 31692, 289, 10570, 564, 25711, 18, 7758, 17239, 9368, 2364, 10367, 17390, 16, 6065, 2204, 6779, 11226, 334, 42981, 46593, 18, 478, 677, 3948, 7514, 434, 29415, 10716, 626, 2339, 5168, 2626, 12356, 17260, 17, 431, 267, 27130, 16, 48962, 38722, 30539, 2682, 772, 4220, 10639, 4868, 6233, 18, 22106, 5388, 262, 995, 448, 2223, 17681, 3236, 371, 3599, 15037, 39018, 30596, 432, 7294, 5418, 28281, 910, 510, 2271, 4283, 282, 47158, 8231, 18, 478, 4408, 19983, 13229, 19389, 11552, 8231, 1175, 334, 33463, 1767, 38947, 12441, 549, 18205, 16, 510, 15833, 282, 6233, 18, 510, 640, 1756, 35454, 8811, 6905, 3623, 18, 824, 12821, 10438, 282, 4599, 6814, 16, 334, 25751, 1639, 11540, 5734, 26058, 16, 289, 697, 5671, 2794, 14314, 1747, 24732, 4289, 34387, 7272, 12208, 519, 40158, 411, 6431, 9246, 1552, 861, 30258, 25105, 5656, 5024, 10716, 626, 2339, 18, 6831, 1129, 4317, 17, 7745, 25666, 1034, 277, 12017, 16, 10901, 1545, 309, 2261, 986, 349, 43922, 272, 473, 285, 18, 1760, 28, 11828, 13, 289, 33394, 4939, 539, 8495, 290, 13073, 5395, 1069, 464, 473, 285, 18, 1939, 27, 11828, 814, 824, 9268, 7705, 16, 5938, 3761, 47195, 718, 25456, 5129, 33463, 1767, 16, 492, 685, 49441, 282, 4018, 1045, 16, 6177, 477, 6740, 4570, 473, 275, 4440, 1045, 10180, 26446, 10566, 685, 9650, 286, 3230, 793, 2909, 584, 775, 2206, 814, 6592, 3761, 4803, 21950, 17981, 16, 492, 3619, 1760, 16, 367, 322, 2261, 986, 15978, 8302, 10342, 334, 32928, 281, 6502, 4496, 5412, 35898, 18, 7758, 1034, 277, 12017, 2397, 7109, 1551, 878, 1485, 30, 1421, 349, 5153, 2005, 30269, 11244, 289, 2852, 349, 33394, 4939, 448, 8862, 381, 1069, 464, 40558, 18, 48563, 448, 8862, 10901, 1545, 6925, 4165, 16, 19482, 282, 16200, 8803, 29277, 12519, 415, 5246, 334, 3911, 546, 512, 2818, 32379, 33463, 1767, 18, 491, 3990, 4440, 779, 492, 6463, 309, 3499, 24979, 47195, 718, 3700, 33463, 1767, 8348, 290, 970, 16, 374, 282, 21520, 2725, 20176, 329, 6359, 6937, 40099, 363, 5554, 478, 677, 380, 418, 910, 282, 2114, 7997, 1569, 7569, 539, 11260, 18, 967, 34925, 5825, 322, 3238, 18996, 18, 31842, 16789, 1034, 277, 12017, 38296, 300, 18, 967, 25834, 46801, 492, 685, 11575, 282, 12544, 454, 14489, 5244, 16, 1421, 405, 11615, 17, 3045, 346, 5244, 289, 281, 1822, 873, 18, 7409, 7419, 27316, 16, 4317, 17, 7745, 12507, 1034, 2711, 300, 512, 16, 360, 919, 937, 1294, 30788, 883, 3017, 349, 43922, 272, 473, 285, 18, 1760, 28, 11828, 934, 33394, 4939, 539, 8495, 290, 13073, 5395, 1069, 464, 473, 285, 18, 1939, 27, 11828, 13, 289, 11910, 473, 285, 18, 27839, 11828, 814, 824, 3761, 49450, 718, 17439, 5129, 16, 282, 4018, 1045, 492, 1038, 685, 49441, 349, 40966, 3173, 294, 32233, 289, 22308, 8165, 473, 283, 18, 430, 289, 327, 18, 491, 422, 18, 4518, 27, 11828, 814, 1591, 808, 46801, 685, 11575, 282, 1929, 668, 5908, 46196, 22052, 16, 1421, 405, 34345, 5244, 289, 37760, 41907, 454, 18, 45671, 3708, 16, 11114, 17, 16981, 9409, 28557, 7408, 2397, 9814, 6335, 1551, 3030, 510, 1939, 986, 17703, 8124, 18, 3863, 3017, 678, 7356, 349, 11910, 473, 285, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4041, 4929, 15885, 282, 1169, 1423, 16154, 2630, 13198, 10035, 30870, 282, 5503, 5035, 35109, 34031, 16, 6061, 382, 28565, 289, 768, 15044, 312, 37701, 281, 16052, 31358, 4000, 18, 9873, 1129, 282, 2224, 1035, 13672, 9840, 1312, 1285, 41899, 297, 1624, 28048, 333, 1198, 507, 37962, 353, 27400, 310, 267, 289, 18801, 40266, 49590, 268, 18, 28565, 726, 8566, 9868, 31619, 505, 281, 6347, 4838, 282, 4599, 1175, 478, 1567, 566, 323, 289, 4858, 18149, 861, 816, 3598, 13205, 5222, 3424, 8566, 14781, 478, 45586, 323, 309, 39642, 470, 289, 2864, 761, 23796, 505, 360, 9759, 1552, 510, 2567, 428, 6295, 281, 30218, 289, 5397, 2232, 6888, 281, 38979, 289, 5821, 1182, 14437, 473, 37460, 1960, 14210, 1880, 12735, 290, 18404, 26341, 814, 7042, 282, 2145, 1038, 12530, 31619, 1743, 439, 4041, 46404, 281, 18900, 1195, 11350, 17, 6385, 323, 9184, 5434, 12183, 34031, 510, 2227, 304, 1789, 324, 915, 496, 18, 2046, 14267, 282, 4459, 1789, 324, 46872, 322, 4247, 3361, 294, 41955, 41867, 8367, 16, 367, 11864, 281, 505, 32973, 1810, 309, 1376, 420, 7314, 309, 4862, 4874, 6298, 12466, 11350, 17, 40000, 17514, 34843, 18, 824, 3761, 41867, 8367, 16, 1789, 324, 28713, 28474, 309, 4862, 289, 8159, 296, 31788, 282, 2145, 1033, 4843, 5584, 3763, 18, 2, 1, 87, 1456, 81, 2448, 30, 36764, 3409, 1133, 33463, 1767, 38470, 1867, 26333, 16, 10716, 626, 2339, 411, 17, 1567, 30356, 567, 808, 568, 33966, 2682, 18, 4824, 411, 40888, 33639, 2279, 685, 37852, 2364, 7335, 4015, 392, 890, 18, 31224, 30, 677, 33463, 1767, 17774, 19547, 40888, 10716, 626, 2339, 26333, 18, 985, 3110, 5549, 2837, 8554, 8231, 16, 282, 11946, 9208, 6814, 415, 5246, 568, 33966, 4110, 19668, 5164, 289, 1949, 4717, 16, 46593, 349, 6911, 8150, 16, 411, 16200, 1347, 29277, 12519, 13611, 20268, 11159, 968, 18718, 12386, 282, 994, 2696, 16200, 755, 4855, 816, 11264, 718, 3700, 33463, 1767, 18, 824, 3761, 6233, 16, 334, 3427, 44902, 7994, 1176, 411, 46593, 21987, 13260, 14777, 29336, 30891, 18, 38795, 7834, 16, 17774, 40650, 5894, 282, 12825, 18259, 2840, 4809, 1204, 11264, 718, 3700, 18, 23891, 568, 33966, 483, 6858, 23594, 16, 374, 4243, 18, 1937, 1176, 411, 1129, 2780, 21071, 2979, 16, 3168, 7050, 281, 3590, 505, 281, 4091, 1335, 12078, 18, 46664, 26247, 745, 13732, 16238, 9334, 17074, 343, 289, 13274, 326, 1974, 281, 2059, 411, 4717, 17, 8665, 623, 7069, 16, 6309, 9314, 360, 8465, 282, 5474, 1484, 18, 1937, 9208, 5164, 289, 2197, 3708, 3516, 751, 309, 13602, 16, 745, 21367, 282, 37405, 14169, 5554, 42910, 17, 22, 2479, 27, 289, 27598, 282, 2580, 2001, 1870, 6845, 562, 473, 1369, 4734, 3594, 33515, 7920, 334, 33463, 1767, 16, 282, 2580, 40830, 34755, 814, 365, 10882, 3225, 3089, 5894, 16, 309, 1754, 37049, 10901, 1453, 18, 31139, 3828, 18629, 7768, 16, 374, 22015, 364, 33639, 2279, 282, 3948, 20268, 6315, 272, 460, 510, 5179, 5520, 16, 1586, 8643, 289, 309, 30612, 11717, 16, 289, 309, 1870, 6845, 562, 18, 4802, 10292, 3337, 4283, 505, 309, 14785, 622, 294, 5474, 877, 18, 365, 1767, 34950, 3010, 478, 677, 43950, 910, 1992, 17154, 2452, 8581, 1390, 309, 31692, 289, 10570, 564, 25711, 18, 7758, 17239, 9368, 2364, 10367, 17390, 16, 6065, 2204, 6779, 11226, 334, 42981, 46593, 18, 478, 677, 3948, 7514, 434, 29415, 10716, 626, 2339, 5168, 2626, 12356, 17260, 17, 431, 267, 27130, 16, 48962, 38722, 30539, 2682, 772, 4220, 10639, 4868, 6233, 18, 22106, 5388, 262, 995, 448, 2223, 17681, 3236, 371, 3599, 15037, 39018, 30596, 432, 7294, 5418, 28281, 910, 510, 2271, 4283, 282, 47158, 8231, 18, 478, 4408, 19983, 13229, 19389, 11552, 8231, 1175, 334, 33463, 1767, 38947, 12441, 549, 18205, 16, 510, 15833, 282, 6233, 18, 510, 640, 1756, 35454, 8811, 6905, 3623, 18, 824, 12821, 10438, 282, 4599, 6814, 16, 334, 25751, 1639, 11540, 5734, 26058, 16, 289, 697, 5671, 2794, 14314, 1747, 24732, 4289, 34387, 7272, 12208, 519, 40158, 411, 6431, 9246, 1552, 861, 30258, 25105, 5656, 5024, 10716, 626, 2339, 18, 6831, 1129, 4317, 17, 7745, 25666, 1034, 277, 12017, 16, 10901, 1545, 309, 2261, 986, 349, 43922, 272, 473, 285, 18, 1760, 28, 11828, 13, 289, 33394, 4939, 539, 8495, 290, 13073, 5395, 1069, 464, 473, 285, 18, 1939, 27, 11828, 814, 824, 9268, 7705, 16, 5938, 3761, 47195, 718, 25456, 5129, 33463, 1767, 16, 492, 685, 49441, 282, 4018, 1045, 16, 6177, 477, 6740, 4570, 473, 275, 4440, 1045, 10180, 26446, 10566, 685, 9650, 286, 3230, 793, 2909, 584, 775, 2206, 814, 6592, 3761, 4803, 21950, 17981, 16, 492, 3619, 1760, 16, 367, 322, 2261, 986, 15978, 8302, 10342, 334, 32928, 281, 6502, 4496, 5412, 35898, 18, 7758, 1034, 277, 12017, 2397, 7109, 1551, 878, 1485, 30, 1421, 349, 5153, 2005, 30269, 11244, 289, 2852, 349, 33394, 4939, 448, 8862, 381, 1069, 464, 40558, 18, 48563, 448, 8862, 10901, 1545, 6925, 4165, 16, 19482, 282, 16200, 8803, 29277, 12519, 415, 5246, 334, 3911, 546, 512, 2818, 32379, 33463, 1767, 18, 491, 3990, 4440, 779, 492, 6463, 309, 3499, 24979, 47195, 718, 3700, 33463, 1767, 8348, 290, 970, 16, 374, 282, 21520, 2725, 20176, 329, 6359, 6937, 40099, 363, 5554, 478, 677, 380, 418, 910, 282, 2114, 7997, 1569, 7569, 539, 11260, 18, 967, 34925, 5825, 322, 3238, 18996, 18, 31842, 16789, 1034, 277, 12017, 38296, 300, 18, 967, 25834, 46801, 492, 685, 11575, 282, 12544, 454, 14489, 5244, 16, 1421, 405, 11615, 17, 3045, 346, 5244, 289, 281, 1822, 873, 18, 7409, 7419, 27316, 16, 4317, 17, 7745, 12507, 1034, 2711, 300, 512, 16, 360, 919, 937, 1294, 30788, 883, 3017, 349, 43922, 272, 473, 285, 18, 1760, 28, 11828, 934, 33394, 4939, 539, 8495, 290, 13073, 5395, 1069, 464, 473, 285, 18, 1939, 27, 11828, 13, 289, 11910, 473, 285, 18, 27839, 11828, 814, 824, 3761, 49450, 718, 17439, 5129, 16, 282, 4018, 1045, 492, 1038, 685, 49441, 349, 40966, 3173, 294, 32233, 289, 22308, 8165, 473, 283, 18, 430, 289, 327, 18, 491, 422, 18, 4518, 27, 11828, 814, 1591, 808, 46801, 685, 11575, 282, 1929, 668, 5908, 46196, 22052, 16, 1421, 405, 34345, 5244, 289, 37760, 41907, 454, 18, 45671, 3708, 16, 11114, 17, 16981, 9409, 28557, 7408, 2397, 9814, 6335, 1551, 3030, 510, 1939, 986, 17703, 8124, 18, 3863, 3017, 678, 7356, 349, 11910, 473, 285, 18 ]
[ 27839, 11828, 934, 15390, 473, 285, 18, 2261, 22, 11828, 13, 289, 33394, 4939, 539, 8495, 381, 1069, 464, 40558, 473, 285, 18, 1939, 27, 11828, 814, 31440, 11891, 309, 3614, 49450, 718, 17439, 5129, 282, 722, 4434, 763, 17415, 18, 11849, 1710, 2862, 330, 14386, 2357, 670, 43988, 6702, 473, 285, 18, 816, 4691, 11828, 814, 9418, 281, 1420, 906, 10901, 798, 28992, 45695, 18, 28557, 7408, 39192, 41768, 11575, 323, 282, 12544, 454, 289, 1421, 405, 18, 12167, 7419, 27316, 510, 10608, 17, 7745, 6096, 439, 807, 5101, 16, 334, 3761, 309, 1912, 18, 3161, 16, 685, 37852, 5179, 7335, 4015, 392, 890, 18, 817, 360, 919, 937, 17252, 7745, 3017, 349, 15390, 473, 285, 18, 2261, 22, 11828, 814, 478, 6039, 292, 16, 4106, 3665, 290, 28753, 8256, 25711, 16, 17774, 24181, 12707, 381, 803, 334, 45292, 2630, 21334, 910, 510, 20353, 281, 14503, 294, 22567, 21084, 17774, 18, 824, 13229, 46801, 18966, 11969, 1743, 334, 327, 18, 491, 422, 18, 816, 4234, 11828, 473, 293, 4931, 297, 411, 1801, 17703, 8124, 16, 5069, 451, 14120, 1562, 334, 7953, 1147, 9794, 14163, 814, 824, 7253, 7705, 294, 3017, 395, 46593, 1698, 9923, 764, 334, 2852, 986, 18, 11925, 16, 282, 1423, 3678, 16, 5292, 18562, 11969, 1743, 334, 327, 18, 430, 422, 18, 4518, 23, 11828, 473, 292, 12680, 622, 13, 282, 4599, 17390, 16, 42440, 2339, 41768, 18, 2, 1, 87, 1456, 81, 2448, 30, 3096, 1062, 17200, 319, 8078, 14977, 16, 2815, 9805, 9778, 6729, 5014, 755, 1709, 18, 23102, 492, 10824, 1617, 1694, 16, 32949, 16, 374, 5195, 282, 4432, 36984, 22516, 16, 7407, 3494, 1188, 2872, 18, 824, 3163, 5014, 755, 14730, 16, 1513, 953, 478, 1567, 426, 5411, 670, 8072, 635, 910, 753, 4976, 282, 505, 23032, 40966, 3173, 294, 13546, 2986, 18, 5585, 842, 5692, 16, 374, 5273, 25758, 17200, 564, 27276, 14977, 15215, 536, 16, 1548, 374, 481, 478, 19626, 43613, 861, 31224, 30, 42699, 9778, 6729, 5014, 755, 1709, 10824, 2159, 8348, 334, 5083, 478, 404, 1599, 696, 617, 470, 36588, 27276, 14977, 18, 15066, 22517, 3059, 492, 3043, 3729, 282, 3177, 584, 419, 844, 482, 1870, 37977, 49756, 16, 374, 478, 454, 413, 470, 5792, 10954, 332, 505, 1694, 478, 2986, 7908, 17200, 319, 470, 282, 21077, 368, 18, 478, 4441, 16, 2091, 16, 11742, 2332, 9127, 285, 2035, 21077, 343, 18, 889, 14117, 5384, 18, 17807, 467, 745, 481, 25187, 18, 981, 289, 442, 4677, 281, 2872, 910, 651, 29309, 25372, 18, 824, 505, 3163, 16, 44818, 525, 20119, 16, 1576, 8518, 282, 44617, 35168, 360, 1658, 3598, 16, 7832, 294, 5831, 966, 971, 1876, 22516, 18, 5014, 755, 1709, 5692, 16, 374, 541, 924, 16, 753, 4976, 478, 404, 272, 342, 3173, 470, 282, 505, 13201, 16, 1513, 953, 478, 3697, 424, 326, 5411, 473, 29117, 12904, 7180, 798, 510, 478, 18386, 18, 8381, 12235, 2988, 8072, 635, 861, 817, 9299, 16, 374, 975, 5550, 21982, 478, 983, 1792, 788, 6945, 14161, 910, 515, 322, 5550, 11468, 280, 14977, 18, 478, 11233, 322, 22508, 475, 47013, 478, 923, 339, 20225, 910, 19900, 478, 960, 5254, 1855, 470, 8078, 14977, 437, 4547, 9410, 30, 2886, 12310, 12821, 16, 26701, 5120, 2381, 723, 519, 1660, 726, 687, 322, 23328, 2919, 5230, 32183, 1952, 309, 311, 275, 5, 2465, 322, 5550, 16, 785, 2533, 1817, 530, 282, 18022, 4769, 910, 651, 29309, 5014, 755, 1709, 16, 3110, 391, 26448, 18, 817, 1038, 5692, 16, 374, 5273, 48355, 17200, 564, 27276, 14977, 15215, 536, 510, 282, 1177, 1119, 16, 334, 4734, 5014, 755, 14730, 16, 1513, 4823, 2433, 281, 478, 511, 13031, 718, 2299, 5806, 9994, 9065, 1972, 419, 470, 289, 23550, 1380, 381, 32719, 973, 18, 20346, 6729, 5014, 755, 1709, 282, 3177, 584, 419, 844, 482, 21949, 28932, 281, 20719, 308, 7165, 289, 23705, 478, 1618, 8799, 510, 31380, 9133, 2002, 470, 510, 9600, 16, 449, 2168, 267, 2099, 1066, 42177, 19052, 718, 6492, 264, 5806, 334, 850, 5583, 282, 16102, 289, 7409, 17310, 48833, 38878, 18, 478, 4441, 8078, 14977, 541, 1110, 16, 1085, 2089, 8955, 30682, 18, 1012, 14563, 16, 50238, 2077, 16, 387, 597, 3389, 18, 1787, 1110, 16, 1085, 42495, 20971, 289, 29381, 1336, 289, 1314, 18, 4663, 726, 1715, 322, 5290, 18, 12027, 4106, 411, 1129, 656, 7737, 9193, 7003, 668, 48373, 18, 459, 17405, 1299, 16, 428, 784, 3073, 16, 17200, 319, 7908, 910, 510, 4255, 1475, 9778, 18, 817, 1038, 3221, 1737, 17200, 564, 27276, 14977, 282, 1175, 281, 41148, 12850, 2409, 478, 267, 7564, 9340, 289, 3165, 13108, 861, 16920, 22864, 549, 2301, 11468, 347, 7801, 282, 3507, 281, 28593, 714, 10738, 510, 334, 13845, 378, 13114, 488, 8056, 282, 37581, 2511, 13671, 18133, 289, 22839, 16482, 8312, 6657, 18, 4402, 356, 392, 6657, 21253, 17816, 457, 17, 7751, 17, 13896, 18, 478, 20377, 2434, 26648, 343, 910, 1038, 24484, 428, 17816, 14977, 16, 27547, 3455, 282, 9697, 4946, 6053, 478, 12003, 844, 345, 356, 470, 282, 15783, 8802, 11743, 779, 18, 8276, 7562, 17816, 457, 17, 7751, 281, 17911, 17, 9097, 836, 7379, 2714, 3382, 282, 19721, 349, 21329, 13557, 11355, 779, 18, 24031, 349, 1498, 334, 10095, 6394, 2553, 20967, 19275, 27050, 11740, 478, 789, 2711, 269, 17, 780, 910, 282, 970, 2875, 281, 40699, 10306, 1080, 478, 7306, 8262, 305, 910, 281, 36623, 12248, 49440, 478, 9865, 1344, 17, 822, 910, 367, 1038, 13495, 478, 26053, 49339, 17, 684, 470, 1032, 292, 24, 18, 365, 5214, 21214, 6884, 1038, 16970, 1527, 10933, 17633, 457, 17, 3940, 478, 7306, 47396, 470, 651, 5487, 282, 2968, 17633, 281, 1331, 1004, 6036, 7094, 845, 289, 22786, 7733, 19275, 38093, 1508, 5499, 541, 15574, 18, 365, 11468, 476, 1038, 20146, 22578, 7392, 8187, 448, 29083, 478, 23555, 17, 780, 22, 470, 289, 478, 983, 1285, 17, 780, 22, 910, 8187, 448, 9588, 478, 32356, 27647, 910, 41457, 448, 15430, 1133, 9588, 478, 780, 419, 17, 563, 470, 477, 44835, 17, 9097, 8702, 488, 2608, 16, 17633, 457, 17, 11327, 504, 1295, 281, 9240, 1873, 26452, 289, 8187, 448, 2926, 385, 17, 24342, 478, 20377, 748, 399, 861, 11387, 665, 609, 9421, 11345, 2793, 282, 1175, 281, 8864, 12260, 475, 3440, 510, 3569, 40397, 3828, 16, 374, 3400, 22516, 16, 37621, 282, 4433, 4551, 16, 294, 430, 4238, 26155, 779 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27839, 11828, 934, 15390, 473, 285, 18, 2261, 22, 11828, 13, 289, 33394, 4939, 539, 8495, 381, 1069, 464, 40558, 473, 285, 18, 1939, 27, 11828, 814, 31440, 11891, 309, 3614, 49450, 718, 17439, 5129, 282, 722, 4434, 763, 17415, 18, 11849, 1710, 2862, 330, 14386, 2357, 670, 43988, 6702, 473, 285, 18, 816, 4691, 11828, 814, 9418, 281, 1420, 906, 10901, 798, 28992, 45695, 18, 28557, 7408, 39192, 41768, 11575, 323, 282, 12544, 454, 289, 1421, 405, 18, 12167, 7419, 27316, 510, 10608, 17, 7745, 6096, 439, 807, 5101, 16, 334, 3761, 309, 1912, 18, 3161, 16, 685, 37852, 5179, 7335, 4015, 392, 890, 18, 817, 360, 919, 937, 17252, 7745, 3017, 349, 15390, 473, 285, 18, 2261, 22, 11828, 814, 478, 6039, 292, 16, 4106, 3665, 290, 28753, 8256, 25711, 16, 17774, 24181, 12707, 381, 803, 334, 45292, 2630, 21334, 910, 510, 20353, 281, 14503, 294, 22567, 21084, 17774, 18, 824, 13229, 46801, 18966, 11969, 1743, 334, 327, 18, 491, 422, 18, 816, 4234, 11828, 473, 293, 4931, 297, 411, 1801, 17703, 8124, 16, 5069, 451, 14120, 1562, 334, 7953, 1147, 9794, 14163, 814, 824, 7253, 7705, 294, 3017, 395, 46593, 1698, 9923, 764, 334, 2852, 986, 18, 11925, 16, 282, 1423, 3678, 16, 5292, 18562, 11969, 1743, 334, 327, 18, 430, 422, 18, 4518, 23, 11828, 473, 292, 12680, 622, 13, 282, 4599, 17390, 16, 42440, 2339, 41768, 18, 2, 1, 87, 1456, 81, 2448, 30, 3096, 1062, 17200, 319, 8078, 14977, 16, 2815, 9805, 9778, 6729, 5014, 755, 1709, 18, 23102, 492, 10824, 1617, 1694, 16, 32949, 16, 374, 5195, 282, 4432, 36984, 22516, 16, 7407, 3494, 1188, 2872, 18, 824, 3163, 5014, 755, 14730, 16, 1513, 953, 478, 1567, 426, 5411, 670, 8072, 635, 910, 753, 4976, 282, 505, 23032, 40966, 3173, 294, 13546, 2986, 18, 5585, 842, 5692, 16, 374, 5273, 25758, 17200, 564, 27276, 14977, 15215, 536, 16, 1548, 374, 481, 478, 19626, 43613, 861, 31224, 30, 42699, 9778, 6729, 5014, 755, 1709, 10824, 2159, 8348, 334, 5083, 478, 404, 1599, 696, 617, 470, 36588, 27276, 14977, 18, 15066, 22517, 3059, 492, 3043, 3729, 282, 3177, 584, 419, 844, 482, 1870, 37977, 49756, 16, 374, 478, 454, 413, 470, 5792, 10954, 332, 505, 1694, 478, 2986, 7908, 17200, 319, 470, 282, 21077, 368, 18, 478, 4441, 16, 2091, 16, 11742, 2332, 9127, 285, 2035, 21077, 343, 18, 889, 14117, 5384, 18, 17807, 467, 745, 481, 25187, 18, 981, 289, 442, 4677, 281, 2872, 910, 651, 29309, 25372, 18, 824, 505, 3163, 16, 44818, 525, 20119, 16, 1576, 8518, 282, 44617, 35168, 360, 1658, 3598, 16, 7832, 294, 5831, 966, 971, 1876, 22516, 18, 5014, 755, 1709, 5692, 16, 374, 541, 924, 16, 753, 4976, 478, 404, 272, 342, 3173, 470, 282, 505, 13201, 16, 1513, 953, 478, 3697, 424, 326, 5411, 473, 29117, 12904, 7180, 798, 510, 478, 18386, 18, 8381, 12235, 2988, 8072, 635, 861, 817, 9299, 16, 374, 975, 5550, 21982, 478, 983, 1792, 788, 6945, 14161, 910, 515, 322, 5550, 11468, 280, 14977, 18, 478, 11233, 322, 22508, 475, 47013, 478, 923, 339, 20225, 910, 19900, 478, 960, 5254, 1855, 470, 8078, 14977, 437, 4547, 9410, 30, 2886, 12310, 12821, 16, 26701, 5120, 2381, 723, 519, 1660, 726, 687, 322, 23328, 2919, 5230, 32183, 1952, 309, 311, 275, 5, 2465, 322, 5550, 16, 785, 2533, 1817, 530, 282, 18022, 4769, 910, 651, 29309, 5014, 755, 1709, 16, 3110, 391, 26448, 18, 817, 1038, 5692, 16, 374, 5273, 48355, 17200, 564, 27276, 14977, 15215, 536, 510, 282, 1177, 1119, 16, 334, 4734, 5014, 755, 14730, 16, 1513, 4823, 2433, 281, 478, 511, 13031, 718, 2299, 5806, 9994, 9065, 1972, 419, 470, 289, 23550, 1380, 381, 32719, 973, 18, 20346, 6729, 5014, 755, 1709, 282, 3177, 584, 419, 844, 482, 21949, 28932, 281, 20719, 308, 7165, 289, 23705, 478, 1618, 8799, 510, 31380, 9133, 2002, 470, 510, 9600, 16, 449, 2168, 267, 2099, 1066, 42177, 19052, 718, 6492, 264, 5806, 334, 850, 5583, 282, 16102, 289, 7409, 17310, 48833, 38878, 18, 478, 4441, 8078, 14977, 541, 1110, 16, 1085, 2089, 8955, 30682, 18, 1012, 14563, 16, 50238, 2077, 16, 387, 597, 3389, 18, 1787, 1110, 16, 1085, 42495, 20971, 289, 29381, 1336, 289, 1314, 18, 4663, 726, 1715, 322, 5290, 18, 12027, 4106, 411, 1129, 656, 7737, 9193, 7003, 668, 48373, 18, 459, 17405, 1299, 16, 428, 784, 3073, 16, 17200, 319, 7908, 910, 510, 4255, 1475, 9778, 18, 817, 1038, 3221, 1737, 17200, 564, 27276, 14977, 282, 1175, 281, 41148, 12850, 2409, 478, 267, 7564, 9340, 289, 3165, 13108, 861, 16920, 22864, 549, 2301, 11468, 347, 7801, 282, 3507, 281, 28593, 714, 10738, 510, 334, 13845, 378, 13114, 488, 8056, 282, 37581, 2511, 13671, 18133, 289, 22839, 16482, 8312, 6657, 18, 4402, 356, 392, 6657, 21253, 17816, 457, 17, 7751, 17, 13896, 18, 478, 20377, 2434, 26648, 343, 910, 1038, 24484, 428, 17816, 14977, 16, 27547, 3455, 282, 9697, 4946, 6053, 478, 12003, 844, 345, 356, 470, 282, 15783, 8802, 11743, 779, 18, 8276, 7562, 17816, 457, 17, 7751, 281, 17911, 17, 9097, 836, 7379, 2714, 3382, 282, 19721, 349, 21329, 13557, 11355, 779, 18, 24031, 349, 1498, 334, 10095, 6394, 2553, 20967, 19275, 27050, 11740, 478, 789, 2711, 269, 17, 780, 910, 282, 970, 2875, 281, 40699, 10306, 1080, 478, 7306, 8262, 305, 910, 281, 36623, 12248, 49440, 478, 9865, 1344, 17, 822, 910, 367, 1038, 13495, 478, 26053, 49339, 17, 684, 470, 1032, 292, 24, 18, 365, 5214, 21214, 6884, 1038, 16970, 1527, 10933, 17633, 457, 17, 3940, 478, 7306, 47396, 470, 651, 5487, 282, 2968, 17633, 281, 1331, 1004, 6036, 7094, 845, 289, 22786, 7733, 19275, 38093, 1508, 5499, 541, 15574, 18, 365, 11468, 476, 1038, 20146, 22578, 7392, 8187, 448, 29083, 478, 23555, 17, 780, 22, 470, 289, 478, 983, 1285, 17, 780, 22, 910, 8187, 448, 9588, 478, 32356, 27647, 910, 41457, 448, 15430, 1133, 9588, 478, 780, 419, 17, 563, 470, 477, 44835, 17, 9097, 8702, 488, 2608, 16, 17633, 457, 17, 11327, 504, 1295, 281, 9240, 1873, 26452, 289, 8187, 448, 2926, 385, 17, 24342, 478, 20377, 748, 399, 861, 11387, 665, 609, 9421, 11345, 2793, 282, 1175, 281, 8864, 12260, 475, 3440, 510, 3569, 40397, 3828, 16, 374, 3400, 22516, 16, 37621, 282, 4433, 4551, 16, 294, 430, 4238, 26155, 779 ]
[ 22356, 10952, 1032, 12555, 1135, 18, 10110, 1175, 4137, 6732, 1624, 30543, 309, 11468, 476, 282, 6292, 23308, 17, 295, 5521, 7244, 14977, 282, 9421, 11345, 7423, 16, 2815, 16, 374, 7383, 536, 36768, 1623, 16220, 11429, 432, 14582, 510, 282, 4190, 16, 785, 282, 17618, 2044, 478, 24833, 1262, 6473, 7153, 266, 2200, 9563, 470, 290, 7423, 289, 478, 8108, 3788, 1634, 19942, 861, 24295, 5222, 2815, 16, 374, 22272, 289, 8341, 11854, 510, 481, 478, 47164, 990, 290, 9421, 11345, 7423, 16, 290, 722, 21678, 861, 6732, 4725, 16, 374, 48024, 14425, 677, 282, 4675, 808, 8391, 282, 4095, 7338, 16, 5923, 727, 4742, 1624, 2686, 697, 25309, 478, 404, 40779, 21124, 861, 478, 4348, 1494, 3984, 327, 1938, 1209, 1304, 16, 19064, 2666, 7704, 4156, 16, 1586, 906, 289, 5702, 2059, 309, 1209, 910, 510, 1109, 5037, 7179, 4000, 18, 2, 1, 87, 1456, 81, 2448, 30, 618, 26420, 6147, 10167, 301, 5002, 1344, 266, 4223, 282, 23708, 300, 2109, 1566, 8791, 4169, 1317, 16, 558, 3979, 282, 5572, 36493, 1728, 19753, 33662, 47452, 354, 26142, 507, 18, 365, 11671, 35107, 975, 840, 22738, 47143, 4210, 33003, 21322, 18, 9046, 4990, 27232, 14452, 774, 1822, 21844, 7362, 9412, 26679, 11399, 19121, 310, 27273, 613, 29081, 312, 25761, 2970, 4872, 18, 31224, 30, 677, 3765, 309, 11084, 282, 5572, 36493, 16130, 17, 960, 2109, 1566, 8791, 4169, 1317, 473, 3008, 7327, 883, 334, 7545, 6279, 45921, 624, 277, 13, 22335, 364, 1577, 29081, 312, 25761, 2970, 2540, 33513, 282, 35107, 1097, 22897, 14007, 825, 7362, 419, 344, 415, 21508, 597, 411, 36473, 18, 12280, 8097, 16, 374, 2970, 2540, 1623, 12181, 3800, 5411, 16, 5076, 37052, 3946, 2523, 774, 1822, 21844, 18, 44323, 1323, 481, 282, 40883, 5895, 1045, 282, 478, 672, 4790, 476, 861, 640, 1177, 445, 541, 36003, 36579, 2834, 10316, 475, 1421, 40793, 18, 640, 7266, 1223, 37358, 2970, 2540, 6274, 14804, 1507, 1728, 21680, 1321, 282, 1053, 842, 16, 515, 2048, 978, 322, 3225, 18, 1937, 22335, 364, 1577, 32497, 309, 1702, 9851, 16, 26679, 11399, 28494, 5235, 294, 7739, 3033, 16, 26294, 505, 25706, 4091, 18, 365, 20330, 464, 6740, 40793, 2970, 2540, 8211, 360, 1721, 696, 434, 10687, 415, 21508, 429, 16, 1029, 322, 1559, 1146, 7726, 27273, 613, 18, 8353, 322, 12842, 965, 5837, 18, 38342, 3756, 6506, 16854, 36158, 41450, 1231, 5269, 49692, 311, 4013, 273, 347, 1152, 16, 2686, 26679, 11399, 2156, 7007, 18, 365, 5897, 13882, 36493, 26679, 11399, 322, 29497, 40108, 12068, 16, 785, 1011, 6940, 7242, 1941, 9868, 311, 4013, 273, 347, 13145, 2970, 2540, 4167, 282, 478, 390, 298, 513, 638, 355, 6688, 861, 439, 282, 5462, 582, 4968, 22335, 364, 1577, 12983, 17097, 1124, 25743, 17866, 2079, 13230, 14142, 309, 8850, 18, 403, 26344, 9163, 7987, 16, 20256, 2180, 5650, 24366, 8955, 415, 21508, 597, 16, 828, 18474, 23716, 26689, 18, 365, 37131, 962, 1474, 10294, 6212, 933, 2208, 355, 10412, 12981, 281, 764, 35198, 10470, 1406, 16, 1029, 19121, 310, 41450, 1231, 5269, 18, 365, 4413, 37131, 4357, 35107, 16438, 11350, 17, 1313, 14945, 1770, 25431, 10167, 301, 5002, 1344, 266, 289, 47452, 266, 26142, 267, 18, 5002, 1344, 266, 2780, 30639, 281, 2223, 282, 11180, 18, 9051, 4744, 2977, 282, 20330, 464, 4968, 492, 19284, 4511, 3162, 7080, 282, 1053, 842, 16, 988, 3118, 7346, 3064, 6730, 18, 999, 2296, 16853, 808, 519, 9512, 40793, 26142, 267, 453, 289, 322, 2564, 6863, 411, 17, 1567, 8950, 382, 21755, 16, 16150, 1293, 16602, 334, 4822, 18, 2112, 16733, 33689, 282, 3998, 6740, 40793, 6382, 6940, 6972, 368, 5002, 1344, 354, 16, 1011, 1660, 492, 4445, 21755, 309, 16954, 564, 16, 367, 5957, 7609, 33756, 30547, 4358, 18, 2877, 2689, 1159, 16, 1029, 21165, 10481, 709, 309, 2797, 375, 1484, 16, 10412, 30639, 349, 2019, 282, 23356, 281, 18952, 25937, 33411, 33003, 21322, 225, 1116, 16, 2566, 37549, 12097, 1870, 1388, 718, 282, 12500, 18, 11333, 7036, 289, 14326, 4664, 942, 5298, 309, 7759, 1624, 46505, 45921, 624, 277, 18, 2, 1, 87, 1456, 81, 2448, 30, 42, 9825, 21708, 294, 13453, 28536, 349, 4722, 20981, 4018, 779, 510, 4056, 16, 1586, 895, 2432, 476, 9732, 46357, 289, 37001, 18, 28616, 11272, 15891, 9811, 16, 50093, 7019, 49234, 289, 37919, 282, 39838, 31170, 18, 2231, 332, 33498, 8752, 5324, 9840, 1312, 1285, 41899, 297, 11451, 18701, 13804, 304, 28907, 290, 22776, 617, 10249, 23468, 309, 10828, 313, 13021, 18, 740, 13804, 9280, 28167, 6843, 23271, 294, 4211, 17, 28720, 538, 8752, 5324, 18, 31224, 30, 684, 50134, 3050, 11453, 2147, 10249, 349, 4101, 1421, 5196, 4018, 779, 35471, 309, 12060, 7418, 519, 4843, 21, 16, 11275, 5096, 16, 334, 7413, 281, 41050, 20981, 304, 6705, 779, 16, 11272, 34450, 16, 30434, 448, 38341, 18, 1178, 4956, 9192, 948, 17, 293, 3323, 5321, 3238, 280, 847, 16, 502, 11113, 1712, 32935, 10177, 2422, 12523, 2712, 15634, 867, 3899, 7019, 15706, 4424, 281, 6175, 851, 2009, 21462, 2514, 15429, 11400, 282, 11366, 4018, 779, 18, 1591, 7422, 289, 15301, 22652, 292, 11453, 2147, 10249, 34777, 1962, 637, 404, 73, 334, 7413, 281, 1033, 3968, 5681, 2229, 9242, 510, 309, 9817, 9, 1279, 7640, 9, 282, 5572, 19936, 6705, 779, 18, 5602, 668, 2301, 49234, 10249, 37437, 2712, 349, 2948, 15429, 13185, 18, 4635, 281, 2184, 1494, 898, 11864, 25326, 21486, 34273, 46357, 30, 10177, 23095, 1211, 5630, 9983, 6853, 12311, 40169, 16, 515, 322, 895, 15571, 16587, 9153, 1519, 6819, 668, 16154, 10249, 18, 824, 8872, 11202, 22652, 6705, 779, 20410, 18649, 8752, 5324, 24502, 9, 22184, 16, 411, 1129, 2418, 9, 3711, 309, 20775, 16, 3043, 26258, 282, 13400, 399, 15101, 18, 889, 685, 2615, 20981, 16, 785, 3785, 10750, 6406, 26192, 6591, 15706, 360, 10929, 13185, 282, 6819, 547, 41495, 16, 510, 309, 5953, 7418, 519, 4843, 27154, 3763, 18, 478, 677, 18088, 1941, 22792, 656, 31867, 16, 374, 14702, 15706, 360, 24035, 28901, 289, 13185, 840, 14583, 6847, 16, 828, 360, 13185, 541, 20306, 15100, 27343, 18, 629, 3027, 4853, 990, 13804, 16, 374, 656, 322, 5087, 23468, 309, 24035, 8578, 292, 910, 510, 2815, 30918, 2241, 9840, 1312, 1285, 41899, 297, 282, 4542, 17407, 12445, 1809, 28536, 281, 17946, 1082, 3436, 3802, 18, 1178, 281, 6175, 21490, 51, 1281, 3598, 519, 3703, 3802, 8379, 10249, 46698, 538, 309, 11281, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22356, 10952, 1032, 12555, 1135, 18, 10110, 1175, 4137, 6732, 1624, 30543, 309, 11468, 476, 282, 6292, 23308, 17, 295, 5521, 7244, 14977, 282, 9421, 11345, 7423, 16, 2815, 16, 374, 7383, 536, 36768, 1623, 16220, 11429, 432, 14582, 510, 282, 4190, 16, 785, 282, 17618, 2044, 478, 24833, 1262, 6473, 7153, 266, 2200, 9563, 470, 290, 7423, 289, 478, 8108, 3788, 1634, 19942, 861, 24295, 5222, 2815, 16, 374, 22272, 289, 8341, 11854, 510, 481, 478, 47164, 990, 290, 9421, 11345, 7423, 16, 290, 722, 21678, 861, 6732, 4725, 16, 374, 48024, 14425, 677, 282, 4675, 808, 8391, 282, 4095, 7338, 16, 5923, 727, 4742, 1624, 2686, 697, 25309, 478, 404, 40779, 21124, 861, 478, 4348, 1494, 3984, 327, 1938, 1209, 1304, 16, 19064, 2666, 7704, 4156, 16, 1586, 906, 289, 5702, 2059, 309, 1209, 910, 510, 1109, 5037, 7179, 4000, 18, 2, 1, 87, 1456, 81, 2448, 30, 618, 26420, 6147, 10167, 301, 5002, 1344, 266, 4223, 282, 23708, 300, 2109, 1566, 8791, 4169, 1317, 16, 558, 3979, 282, 5572, 36493, 1728, 19753, 33662, 47452, 354, 26142, 507, 18, 365, 11671, 35107, 975, 840, 22738, 47143, 4210, 33003, 21322, 18, 9046, 4990, 27232, 14452, 774, 1822, 21844, 7362, 9412, 26679, 11399, 19121, 310, 27273, 613, 29081, 312, 25761, 2970, 4872, 18, 31224, 30, 677, 3765, 309, 11084, 282, 5572, 36493, 16130, 17, 960, 2109, 1566, 8791, 4169, 1317, 473, 3008, 7327, 883, 334, 7545, 6279, 45921, 624, 277, 13, 22335, 364, 1577, 29081, 312, 25761, 2970, 2540, 33513, 282, 35107, 1097, 22897, 14007, 825, 7362, 419, 344, 415, 21508, 597, 411, 36473, 18, 12280, 8097, 16, 374, 2970, 2540, 1623, 12181, 3800, 5411, 16, 5076, 37052, 3946, 2523, 774, 1822, 21844, 18, 44323, 1323, 481, 282, 40883, 5895, 1045, 282, 478, 672, 4790, 476, 861, 640, 1177, 445, 541, 36003, 36579, 2834, 10316, 475, 1421, 40793, 18, 640, 7266, 1223, 37358, 2970, 2540, 6274, 14804, 1507, 1728, 21680, 1321, 282, 1053, 842, 16, 515, 2048, 978, 322, 3225, 18, 1937, 22335, 364, 1577, 32497, 309, 1702, 9851, 16, 26679, 11399, 28494, 5235, 294, 7739, 3033, 16, 26294, 505, 25706, 4091, 18, 365, 20330, 464, 6740, 40793, 2970, 2540, 8211, 360, 1721, 696, 434, 10687, 415, 21508, 429, 16, 1029, 322, 1559, 1146, 7726, 27273, 613, 18, 8353, 322, 12842, 965, 5837, 18, 38342, 3756, 6506, 16854, 36158, 41450, 1231, 5269, 49692, 311, 4013, 273, 347, 1152, 16, 2686, 26679, 11399, 2156, 7007, 18, 365, 5897, 13882, 36493, 26679, 11399, 322, 29497, 40108, 12068, 16, 785, 1011, 6940, 7242, 1941, 9868, 311, 4013, 273, 347, 13145, 2970, 2540, 4167, 282, 478, 390, 298, 513, 638, 355, 6688, 861, 439, 282, 5462, 582, 4968, 22335, 364, 1577, 12983, 17097, 1124, 25743, 17866, 2079, 13230, 14142, 309, 8850, 18, 403, 26344, 9163, 7987, 16, 20256, 2180, 5650, 24366, 8955, 415, 21508, 597, 16, 828, 18474, 23716, 26689, 18, 365, 37131, 962, 1474, 10294, 6212, 933, 2208, 355, 10412, 12981, 281, 764, 35198, 10470, 1406, 16, 1029, 19121, 310, 41450, 1231, 5269, 18, 365, 4413, 37131, 4357, 35107, 16438, 11350, 17, 1313, 14945, 1770, 25431, 10167, 301, 5002, 1344, 266, 289, 47452, 266, 26142, 267, 18, 5002, 1344, 266, 2780, 30639, 281, 2223, 282, 11180, 18, 9051, 4744, 2977, 282, 20330, 464, 4968, 492, 19284, 4511, 3162, 7080, 282, 1053, 842, 16, 988, 3118, 7346, 3064, 6730, 18, 999, 2296, 16853, 808, 519, 9512, 40793, 26142, 267, 453, 289, 322, 2564, 6863, 411, 17, 1567, 8950, 382, 21755, 16, 16150, 1293, 16602, 334, 4822, 18, 2112, 16733, 33689, 282, 3998, 6740, 40793, 6382, 6940, 6972, 368, 5002, 1344, 354, 16, 1011, 1660, 492, 4445, 21755, 309, 16954, 564, 16, 367, 5957, 7609, 33756, 30547, 4358, 18, 2877, 2689, 1159, 16, 1029, 21165, 10481, 709, 309, 2797, 375, 1484, 16, 10412, 30639, 349, 2019, 282, 23356, 281, 18952, 25937, 33411, 33003, 21322, 225, 1116, 16, 2566, 37549, 12097, 1870, 1388, 718, 282, 12500, 18, 11333, 7036, 289, 14326, 4664, 942, 5298, 309, 7759, 1624, 46505, 45921, 624, 277, 18, 2, 1, 87, 1456, 81, 2448, 30, 42, 9825, 21708, 294, 13453, 28536, 349, 4722, 20981, 4018, 779, 510, 4056, 16, 1586, 895, 2432, 476, 9732, 46357, 289, 37001, 18, 28616, 11272, 15891, 9811, 16, 50093, 7019, 49234, 289, 37919, 282, 39838, 31170, 18, 2231, 332, 33498, 8752, 5324, 9840, 1312, 1285, 41899, 297, 11451, 18701, 13804, 304, 28907, 290, 22776, 617, 10249, 23468, 309, 10828, 313, 13021, 18, 740, 13804, 9280, 28167, 6843, 23271, 294, 4211, 17, 28720, 538, 8752, 5324, 18, 31224, 30, 684, 50134, 3050, 11453, 2147, 10249, 349, 4101, 1421, 5196, 4018, 779, 35471, 309, 12060, 7418, 519, 4843, 21, 16, 11275, 5096, 16, 334, 7413, 281, 41050, 20981, 304, 6705, 779, 16, 11272, 34450, 16, 30434, 448, 38341, 18, 1178, 4956, 9192, 948, 17, 293, 3323, 5321, 3238, 280, 847, 16, 502, 11113, 1712, 32935, 10177, 2422, 12523, 2712, 15634, 867, 3899, 7019, 15706, 4424, 281, 6175, 851, 2009, 21462, 2514, 15429, 11400, 282, 11366, 4018, 779, 18, 1591, 7422, 289, 15301, 22652, 292, 11453, 2147, 10249, 34777, 1962, 637, 404, 73, 334, 7413, 281, 1033, 3968, 5681, 2229, 9242, 510, 309, 9817, 9, 1279, 7640, 9, 282, 5572, 19936, 6705, 779, 18, 5602, 668, 2301, 49234, 10249, 37437, 2712, 349, 2948, 15429, 13185, 18, 4635, 281, 2184, 1494, 898, 11864, 25326, 21486, 34273, 46357, 30, 10177, 23095, 1211, 5630, 9983, 6853, 12311, 40169, 16, 515, 322, 895, 15571, 16587, 9153, 1519, 6819, 668, 16154, 10249, 18, 824, 8872, 11202, 22652, 6705, 779, 20410, 18649, 8752, 5324, 24502, 9, 22184, 16, 411, 1129, 2418, 9, 3711, 309, 20775, 16, 3043, 26258, 282, 13400, 399, 15101, 18, 889, 685, 2615, 20981, 16, 785, 3785, 10750, 6406, 26192, 6591, 15706, 360, 10929, 13185, 282, 6819, 547, 41495, 16, 510, 309, 5953, 7418, 519, 4843, 27154, 3763, 18, 478, 677, 18088, 1941, 22792, 656, 31867, 16, 374, 14702, 15706, 360, 24035, 28901, 289, 13185, 840, 14583, 6847, 16, 828, 360, 13185, 541, 20306, 15100, 27343, 18, 629, 3027, 4853, 990, 13804, 16, 374, 656, 322, 5087, 23468, 309, 24035, 8578, 292, 910, 510, 2815, 30918, 2241, 9840, 1312, 1285, 41899, 297, 282, 4542, 17407, 12445, 1809, 28536, 281, 17946, 1082, 3436, 3802, 18, 1178, 281, 6175, 21490, 51, 1281, 3598, 519, 3703, 3802, 8379, 10249, 46698, 538, 309, 11281, 16 ]
[ 10257, 7418, 502, 281, 3436, 3802, 519, 4518, 3612, 3734, 779, 745, 27375, 414, 309, 9817, 16, 11498, 5999, 640, 2513, 2376, 4281, 567, 12241, 8296, 10249, 309, 21767, 31083, 18040, 53, 693, 925, 4843, 3161, 16, 11842, 349, 10168, 16, 3131, 17204, 2241, 14231, 4843, 11559, 16, 27, 5096, 18, 478, 780, 5431, 451, 15182, 2272, 6993, 26570, 541, 2241, 16, 453, 428, 17708, 282, 8752, 5324, 475, 1143, 2119, 3935, 309, 2089, 39254, 16, 510, 2548, 41330, 786, 17875, 10693, 46043, 20222, 9316, 7947, 34415, 18, 510, 4149, 4128, 289, 2915, 48516, 23883, 282, 3232, 2439, 1640, 39838, 7475, 861, 365, 33762, 19936, 4018, 779, 34450, 786, 17875, 10693, 46043, 20222, 9316, 30885, 16, 374, 11453, 2147, 360, 39838, 13185, 14481, 4843, 3161, 24, 3763, 18, 824, 47270, 1442, 52, 49, 47580, 2487, 5206, 5436, 10710, 2211, 28039, 15182, 2272, 24859, 8752, 5324, 4055, 9, 3025, 49234, 16, 670, 4843, 8081, 24, 16, 22, 3763, 18, 28053, 266, 3050, 25142, 11726, 10249, 16, 334, 47270, 46357, 16, 895, 16122, 4843, 6427, 16, 28, 3763, 18, 824, 3761, 15832, 680, 9835, 1057, 49, 3777, 13393, 4982, 14600, 309, 6819, 668, 20775, 282, 2145, 282, 3734, 1045, 14481, 4843, 27, 16, 1618, 5096, 16, 367, 294, 4145, 1045, 7058, 13617, 519, 4843, 6568, 5096, 18, 967, 803, 11453, 2147, 10249, 360, 39838, 13185, 282, 2145, 282, 3734, 1045, 895, 14062, 4843, 28, 12086, 16, 24, 3763, 16, 367, 282, 4145, 1045, 510, 4843, 21, 16, 22, 5096, 18, 10249, 16016, 289, 2393, 3775, 3232, 2439, 1640, 18, 6831, 726, 3696, 4436, 2559, 16, 30500, 309, 15634, 15706, 16, 42259, 2926, 5209, 416, 29031, 17881, 28068, 322, 411, 18536, 6722, 16, 21927, 5209, 434, 21814, 10355, 17881, 282, 359, 11186, 13267, 1888, 9983, 16, 21927, 29031, 17099, 17881, 1312, 1285, 41899, 877, 349, 4843, 10590, 18, 608, 10249, 912, 1817, 10355, 24035, 28901, 510, 12529, 39768, 541, 41382, 289, 34073, 432, 27343, 16, 3400, 9983, 1754, 4896, 13671, 3763, 1135, 16, 327, 766, 10249, 289, 3313, 5634, 16467, 10249, 32590, 15157, 18, 2327, 522, 6705, 779, 3785, 17844, 28510, 334, 7391, 954, 4863, 3045, 23437, 40821, 16, 11617, 15154, 14231, 2364, 4843, 40756, 3763, 18, 20409, 33843, 47476, 5758, 21911, 31616, 13501, 8296, 10249, 18, 20439, 22930, 1906, 27953, 6134, 541, 19510, 309, 5066, 4843, 5041, 349, 42722, 18, 3881, 452, 16889, 783, 329, 46357, 21911, 593, 17688, 1624, 515, 697, 38016, 8581, 269, 510, 4843, 6654, 18, 769, 2646, 561, 39640, 550, 2307, 22930, 1906, 27953, 6134, 541, 11400, 10249, 309, 5066, 4843, 8914, 349, 19830, 281, 16889, 2206, 478, 14845, 25767, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 1206, 332, 282, 1405, 478, 33522, 1631, 309, 24006, 470, 510, 4071, 549, 3808, 12904, 27165, 332, 8474, 26741, 16, 3876, 5103, 9045, 16362, 37055, 375, 1703, 289, 1391, 400, 4749, 282, 965, 10947, 30602, 29320, 712, 30157, 17, 348, 25496, 27551, 289, 697, 27517, 18, 31224, 30, 37631, 1223, 3808, 12904, 27165, 332, 8474, 26741, 12016, 505, 575, 1726, 290, 1364, 4449, 16193, 16, 2024, 3872, 22728, 942, 639, 12498, 1364, 2033, 16, 1548, 374, 537, 2941, 16, 537, 21369, 16, 537, 2971, 329, 1047, 322, 639, 18, 11725, 16, 374, 8474, 10905, 322, 1500, 24890, 16, 5338, 2024, 942, 12741, 17649, 30, 281, 2059, 1963, 16, 492, 478, 431, 748, 742, 289, 34137, 910, 281, 2107, 510, 49909, 289, 935, 2395, 451, 15057, 9916, 16, 371, 1354, 12691, 1779, 1223, 1272, 478, 19051, 4877, 770, 470, 33634, 289, 4052, 34372, 281, 12499, 483, 519, 11847, 17, 292, 18, 3529, 8060, 13158, 21934, 36678, 1624, 26814, 297, 1510, 16463, 16, 13598, 505, 31663, 7768, 18, 2667, 4319, 1326, 478, 293, 36918, 536, 470, 3808, 4397, 304, 8474, 26741, 685, 20811, 2414, 289, 12987, 334, 44405, 680, 4063, 5855, 8933, 12785, 1605, 9883, 1140, 473, 42314, 2004, 468, 1895, 2009, 29743, 624, 16, 2645, 7927, 1326, 874, 281, 3640, 18302, 43032, 7792, 13, 3720, 24293, 2440, 778, 18, 2320, 8385, 16, 18447, 1712, 282, 5049, 1045, 282, 7756, 1258, 1295, 1098, 16, 5915, 986, 15007, 306, 1354, 39868, 1217, 476, 844, 31283, 12906, 443, 1618, 3161, 17, 292, 5521, 18, 24293, 2440, 778, 16, 14361, 460, 8474, 26741, 424, 2507, 16, 8643, 505, 1248, 24766, 6722, 411, 44061, 9104, 23148, 13791, 45277, 30157, 17, 1429, 1532, 16, 12785, 1605, 9883, 1140, 289, 31797, 13606, 28388, 478, 992, 313, 470, 289, 478, 1659, 265, 313, 470, 289, 6048, 28075, 6965, 2917, 1047, 4063, 6180, 2309, 428, 6505, 3300, 539, 289, 4100, 897, 13971, 18, 14957, 778, 14175, 289, 24823, 10509, 16095, 37055, 10502, 1624, 726, 2671, 400, 1779, 31094, 11719, 47524, 17378, 289, 2461, 16197, 768, 540, 409, 7876, 16, 21400, 484, 294, 8474, 277, 1508, 428, 2521, 309, 36128, 18, 817, 322, 3275, 389, 11477, 6645, 413, 1733, 1854, 3808, 24598, 19415, 505, 1354, 16, 2391, 478, 33522, 1631, 309, 24006, 470, 510, 537, 282, 17607, 1750, 322, 478, 28678, 875, 4562, 470, 3808, 12904, 16, 3876, 5103, 282, 19145, 13904, 4946, 26359, 334, 14511, 4822, 16, 46901, 289, 28183, 454, 18, 7200, 510, 1033, 42772, 510, 6029, 478, 2997, 511, 307, 1631, 309, 24006, 470, 4223, 18627, 33007, 304, 282, 17490, 1212, 5574, 21732, 478, 677, 1004, 391, 401, 470, 282, 970, 575, 5049, 1045, 18, 817, 567, 10246, 8471, 26408, 501, 323, 8372, 24293, 2440, 718, 18, 2046, 11950, 1251, 2872, 16, 282, 4784, 16, 11176, 798, 5512, 47413, 12311, 3149, 1134, 30, 24293, 2440, 778, 10662, 396, 8474, 26741, 282, 22668, 36800, 8370, 523, 16, 37055, 10502, 24772, 22085, 5301, 16509, 16, 475, 808, 48587, 290, 21260, 8121, 2887, 334, 1190, 18, 37055, 10502, 14493, 349, 14548, 322, 4443, 21422, 8474, 26741, 16, 3176, 43059, 289, 40547, 1133, 33002, 16, 9467, 756, 2508, 289, 5980, 307, 2508, 1807, 505, 11064, 18, 9418, 870, 10621, 6380, 5808, 282, 47790, 290, 970, 16, 428, 8474, 10905, 17, 30808, 9352, 1738, 309, 8474, 26741, 17, 1083, 1347, 18, 365, 6031, 8385, 26695, 505, 3971, 360, 20386, 328, 434, 4714, 13650, 624, 16, 45216, 790, 9297, 11302, 327, 659, 304, 289, 478, 431, 748, 434, 470, 1977, 29805, 542, 510, 294, 1635, 825, 18881, 306, 18, 37055, 10502, 428, 2521, 3473, 1491, 648, 24554, 1893, 282, 505, 3808, 27523, 11834, 276, 12906, 443, 1618, 3161, 17, 292, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10257, 7418, 502, 281, 3436, 3802, 519, 4518, 3612, 3734, 779, 745, 27375, 414, 309, 9817, 16, 11498, 5999, 640, 2513, 2376, 4281, 567, 12241, 8296, 10249, 309, 21767, 31083, 18040, 53, 693, 925, 4843, 3161, 16, 11842, 349, 10168, 16, 3131, 17204, 2241, 14231, 4843, 11559, 16, 27, 5096, 18, 478, 780, 5431, 451, 15182, 2272, 6993, 26570, 541, 2241, 16, 453, 428, 17708, 282, 8752, 5324, 475, 1143, 2119, 3935, 309, 2089, 39254, 16, 510, 2548, 41330, 786, 17875, 10693, 46043, 20222, 9316, 7947, 34415, 18, 510, 4149, 4128, 289, 2915, 48516, 23883, 282, 3232, 2439, 1640, 39838, 7475, 861, 365, 33762, 19936, 4018, 779, 34450, 786, 17875, 10693, 46043, 20222, 9316, 30885, 16, 374, 11453, 2147, 360, 39838, 13185, 14481, 4843, 3161, 24, 3763, 18, 824, 47270, 1442, 52, 49, 47580, 2487, 5206, 5436, 10710, 2211, 28039, 15182, 2272, 24859, 8752, 5324, 4055, 9, 3025, 49234, 16, 670, 4843, 8081, 24, 16, 22, 3763, 18, 28053, 266, 3050, 25142, 11726, 10249, 16, 334, 47270, 46357, 16, 895, 16122, 4843, 6427, 16, 28, 3763, 18, 824, 3761, 15832, 680, 9835, 1057, 49, 3777, 13393, 4982, 14600, 309, 6819, 668, 20775, 282, 2145, 282, 3734, 1045, 14481, 4843, 27, 16, 1618, 5096, 16, 367, 294, 4145, 1045, 7058, 13617, 519, 4843, 6568, 5096, 18, 967, 803, 11453, 2147, 10249, 360, 39838, 13185, 282, 2145, 282, 3734, 1045, 895, 14062, 4843, 28, 12086, 16, 24, 3763, 16, 367, 282, 4145, 1045, 510, 4843, 21, 16, 22, 5096, 18, 10249, 16016, 289, 2393, 3775, 3232, 2439, 1640, 18, 6831, 726, 3696, 4436, 2559, 16, 30500, 309, 15634, 15706, 16, 42259, 2926, 5209, 416, 29031, 17881, 28068, 322, 411, 18536, 6722, 16, 21927, 5209, 434, 21814, 10355, 17881, 282, 359, 11186, 13267, 1888, 9983, 16, 21927, 29031, 17099, 17881, 1312, 1285, 41899, 877, 349, 4843, 10590, 18, 608, 10249, 912, 1817, 10355, 24035, 28901, 510, 12529, 39768, 541, 41382, 289, 34073, 432, 27343, 16, 3400, 9983, 1754, 4896, 13671, 3763, 1135, 16, 327, 766, 10249, 289, 3313, 5634, 16467, 10249, 32590, 15157, 18, 2327, 522, 6705, 779, 3785, 17844, 28510, 334, 7391, 954, 4863, 3045, 23437, 40821, 16, 11617, 15154, 14231, 2364, 4843, 40756, 3763, 18, 20409, 33843, 47476, 5758, 21911, 31616, 13501, 8296, 10249, 18, 20439, 22930, 1906, 27953, 6134, 541, 19510, 309, 5066, 4843, 5041, 349, 42722, 18, 3881, 452, 16889, 783, 329, 46357, 21911, 593, 17688, 1624, 515, 697, 38016, 8581, 269, 510, 4843, 6654, 18, 769, 2646, 561, 39640, 550, 2307, 22930, 1906, 27953, 6134, 541, 11400, 10249, 309, 5066, 4843, 8914, 349, 19830, 281, 16889, 2206, 478, 14845, 25767, 861, 2, 1, 87, 1456, 81, 2448, 30, 677, 1206, 332, 282, 1405, 478, 33522, 1631, 309, 24006, 470, 510, 4071, 549, 3808, 12904, 27165, 332, 8474, 26741, 16, 3876, 5103, 9045, 16362, 37055, 375, 1703, 289, 1391, 400, 4749, 282, 965, 10947, 30602, 29320, 712, 30157, 17, 348, 25496, 27551, 289, 697, 27517, 18, 31224, 30, 37631, 1223, 3808, 12904, 27165, 332, 8474, 26741, 12016, 505, 575, 1726, 290, 1364, 4449, 16193, 16, 2024, 3872, 22728, 942, 639, 12498, 1364, 2033, 16, 1548, 374, 537, 2941, 16, 537, 21369, 16, 537, 2971, 329, 1047, 322, 639, 18, 11725, 16, 374, 8474, 10905, 322, 1500, 24890, 16, 5338, 2024, 942, 12741, 17649, 30, 281, 2059, 1963, 16, 492, 478, 431, 748, 742, 289, 34137, 910, 281, 2107, 510, 49909, 289, 935, 2395, 451, 15057, 9916, 16, 371, 1354, 12691, 1779, 1223, 1272, 478, 19051, 4877, 770, 470, 33634, 289, 4052, 34372, 281, 12499, 483, 519, 11847, 17, 292, 18, 3529, 8060, 13158, 21934, 36678, 1624, 26814, 297, 1510, 16463, 16, 13598, 505, 31663, 7768, 18, 2667, 4319, 1326, 478, 293, 36918, 536, 470, 3808, 4397, 304, 8474, 26741, 685, 20811, 2414, 289, 12987, 334, 44405, 680, 4063, 5855, 8933, 12785, 1605, 9883, 1140, 473, 42314, 2004, 468, 1895, 2009, 29743, 624, 16, 2645, 7927, 1326, 874, 281, 3640, 18302, 43032, 7792, 13, 3720, 24293, 2440, 778, 18, 2320, 8385, 16, 18447, 1712, 282, 5049, 1045, 282, 7756, 1258, 1295, 1098, 16, 5915, 986, 15007, 306, 1354, 39868, 1217, 476, 844, 31283, 12906, 443, 1618, 3161, 17, 292, 5521, 18, 24293, 2440, 778, 16, 14361, 460, 8474, 26741, 424, 2507, 16, 8643, 505, 1248, 24766, 6722, 411, 44061, 9104, 23148, 13791, 45277, 30157, 17, 1429, 1532, 16, 12785, 1605, 9883, 1140, 289, 31797, 13606, 28388, 478, 992, 313, 470, 289, 478, 1659, 265, 313, 470, 289, 6048, 28075, 6965, 2917, 1047, 4063, 6180, 2309, 428, 6505, 3300, 539, 289, 4100, 897, 13971, 18, 14957, 778, 14175, 289, 24823, 10509, 16095, 37055, 10502, 1624, 726, 2671, 400, 1779, 31094, 11719, 47524, 17378, 289, 2461, 16197, 768, 540, 409, 7876, 16, 21400, 484, 294, 8474, 277, 1508, 428, 2521, 309, 36128, 18, 817, 322, 3275, 389, 11477, 6645, 413, 1733, 1854, 3808, 24598, 19415, 505, 1354, 16, 2391, 478, 33522, 1631, 309, 24006, 470, 510, 537, 282, 17607, 1750, 322, 478, 28678, 875, 4562, 470, 3808, 12904, 16, 3876, 5103, 282, 19145, 13904, 4946, 26359, 334, 14511, 4822, 16, 46901, 289, 28183, 454, 18, 7200, 510, 1033, 42772, 510, 6029, 478, 2997, 511, 307, 1631, 309, 24006, 470, 4223, 18627, 33007, 304, 282, 17490, 1212, 5574, 21732, 478, 677, 1004, 391, 401, 470, 282, 970, 575, 5049, 1045, 18, 817, 567, 10246, 8471, 26408, 501, 323, 8372, 24293, 2440, 718, 18, 2046, 11950, 1251, 2872, 16, 282, 4784, 16, 11176, 798, 5512, 47413, 12311, 3149, 1134, 30, 24293, 2440, 778, 10662, 396, 8474, 26741, 282, 22668, 36800, 8370, 523, 16, 37055, 10502, 24772, 22085, 5301, 16509, 16, 475, 808, 48587, 290, 21260, 8121, 2887, 334, 1190, 18, 37055, 10502, 14493, 349, 14548, 322, 4443, 21422, 8474, 26741, 16, 3176, 43059, 289, 40547, 1133, 33002, 16, 9467, 756, 2508, 289, 5980, 307, 2508, 1807, 505, 11064, 18, 9418, 870, 10621, 6380, 5808, 282, 47790, 290, 970, 16, 428, 8474, 10905, 17, 30808, 9352, 1738, 309, 8474, 26741, 17, 1083, 1347, 18, 365, 6031, 8385, 26695, 505, 3971, 360, 20386, 328, 434, 4714, 13650, 624, 16, 45216, 790, 9297, 11302, 327, 659, 304, 289, 478, 431, 748, 434, 470, 1977, 29805, 542, 510, 294, 1635, 825, 18881, 306, 18, 37055, 10502, 428, 2521, 3473, 1491, 648, 24554, 1893, 282, 505, 3808, 27523, 11834, 276, 12906, 443, 1618, 3161, 17, 292, 30 ]
[ 13375, 281, 6575, 12252, 1873, 23186, 26206, 16, 6641, 382, 282, 25796, 309, 16752, 12012, 349, 478, 9297, 266, 442, 364, 346, 351, 47467, 9104, 4282, 910, 309, 478, 992, 626, 470, 289, 478, 1659, 265, 626, 910, 309, 808, 371, 306, 659, 973, 381, 25496, 27551, 18, 5126, 1685, 1335, 30273, 3047, 10191, 47134, 3720, 365, 1037, 16671, 1624, 10121, 28670, 2506, 289, 6363, 23963, 1412, 7960, 1624, 367, 1038, 8060, 13158, 21934, 36678, 16, 1029, 567, 808, 42574, 28855, 8207, 294, 1190, 22761, 2572, 281, 4170, 5322, 26774, 8474, 26741, 289, 365, 1037, 18190, 289, 867, 3818, 32704, 697, 541, 16864, 282, 3106, 478, 19051, 4877, 770, 470, 12137, 18, 365, 3198, 6276, 14662, 22157, 525, 289, 3772, 549, 3808, 12904, 16, 1754, 3225, 322, 36146, 282, 40804, 11861, 18, 1253, 322, 7786, 1067, 798, 537, 25384, 362, 982, 21624, 660, 2389, 16, 537, 3807, 31975, 383, 6390, 36004, 9061, 18, 37055, 10502, 4452, 281, 47787, 16, 502, 289, 1743, 282, 1169, 7501, 3712, 289, 3337, 6503, 4778, 47599, 18, 22658, 322, 5546, 14692, 541, 22207, 309, 5075, 31094, 25155, 16, 3057, 16, 8785, 1157, 8474, 26741, 16, 961, 898, 541, 1047, 23126, 7419, 624, 360, 11129, 18, 20782, 2116, 758, 19034, 289, 11307, 505, 2992, 8880, 46569, 29102, 283, 18, 8402, 665, 31975, 383, 4137, 41089, 19806, 8023, 11038, 722, 282, 31755, 426, 289, 2797, 1652, 687, 282, 10707, 1045, 16, 785, 678, 726, 27887, 27648, 38627, 289, 8338, 5075, 16, 289, 14326, 1354, 281, 8474, 277, 3032, 18, 365, 803, 16715, 24420, 26762, 294, 7951, 1744, 16, 4213, 16, 4836, 24649, 4556, 510, 2650, 10391, 1211, 37055, 10706, 289, 360, 367, 379, 22403, 2840, 773, 20752, 32549, 277, 1015, 718, 18339, 16, 289, 360, 12319, 36814, 8716, 48755, 505, 3053, 5364, 473, 4743, 16, 3057, 16, 4243, 281, 505, 29307, 16, 46505, 768, 540, 409, 21211, 814, 365, 3198, 505, 8474, 10905, 529, 12227, 7951, 4449, 16, 1029, 502, 289, 1743, 387, 6500, 2444, 411, 1978, 1378, 15515, 16, 329, 1850, 13815, 289, 38108, 1812, 18, 478, 26627, 12904, 31031, 346, 8474, 26741, 37279, 294, 44528, 655, 924, 25311, 18062, 13915, 735, 16, 282, 2486, 492, 11408, 22954, 2159, 1834, 49712, 539, 11945, 910, 510, 12698, 37055, 10502, 18, 2263, 492, 16, 9705, 16, 15879, 1893, 502, 575, 478, 960, 47728, 27646, 22565, 910, 515, 281, 4095, 351, 8939, 1015, 18, 1735, 3809, 16, 7178, 451, 3350, 572, 6061, 1614, 342, 5881, 1624, 42302, 309, 14973, 34891, 4453, 478, 7125, 392, 1444, 16088, 11106, 26276, 510, 6931, 45868, 25348, 14241, 3034, 3905, 861, 1735, 10733, 3359, 349, 17475, 478, 28756, 577, 23041, 289, 46338, 1816, 4195, 891, 470, 8474, 10905, 1543, 2163, 281, 1807, 282, 19189, 4226, 4907, 890, 21637, 9233, 359, 673, 272, 282, 1962, 416, 5828, 263, 16, 39023, 23679, 382, 16, 8985, 999, 577, 16, 36241, 365, 1037, 18190, 16, 308, 13278, 301, 33668, 289, 4070, 425, 18, 457, 735, 1245, 31936, 549, 2117, 282, 34857, 4362, 9268, 1222, 957, 22061, 28807, 510, 492, 23909, 282, 17288, 416, 14154, 491, 3750, 12239, 779, 18, 478, 33522, 1631, 309, 24006, 470, 25599, 8474, 26741, 428, 8121, 16, 2296, 11817, 478, 4743, 2521, 21104, 477, 3025, 19968, 6571, 5319, 470, 510, 27734, 16, 19130, 22265, 525, 478, 426, 420, 885, 470, 2002, 322, 43540, 977, 281, 478, 426, 4248, 416, 470, 10035, 16, 5773, 9160, 346, 294, 21480, 12640, 975, 1612, 18, 37055, 375, 2818, 8084, 16, 374, 3433, 14644, 16, 428, 8474, 10905, 16, 906, 373, 322, 36888, 8140, 3591, 7359, 21602, 510, 289, 10536, 17649, 38475, 1909, 373, 1360, 1218, 26499, 1685, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 22262, 470, 19121, 310, 21112, 778, 478, 33252, 10752, 266, 470, 289, 1196, 811, 282, 5910, 1161, 11918, 16180, 5538, 18, 2112, 5790, 282, 5579, 17, 13825, 5184, 2566, 434, 8440, 379, 3720, 21734, 21835, 2815, 16, 374, 16, 827, 492, 37396, 22803, 874, 16, 42215, 1858, 16379, 505, 641, 12831, 1855, 16, 367, 6548, 9680, 478, 25626, 470, 27742, 299, 421, 7195, 307, 16328, 17217, 309, 22189, 28628, 20836, 2749, 43656, 919, 18, 3557, 5547, 478, 44316, 470, 14084, 20665, 16, 329, 22603, 29532, 680, 478, 3127, 269, 275, 1414, 9232, 4695, 910, 374, 38331, 478, 919, 523, 470, 7550, 1034, 300, 21710, 8566, 8569, 32502, 18, 31224, 30, 40683, 17, 293, 4264, 297, 778, 478, 22262, 470, 45300, 271, 309, 3177, 4577, 21112, 778, 478, 33252, 10752, 266, 470, 473, 22, 30, 20, 13, 289, 9358, 811, 349, 1230, 843, 1790, 13270, 473, 20, 30, 21, 934, 334, 8872, 1949, 7821, 39264, 32940, 1196, 7678, 282, 5910, 1161, 11918, 16180, 5538, 18, 8615, 29426, 16432, 20455, 17, 296, 804, 17, 18967, 770, 639, 8084, 309, 7266, 1209, 13435, 1879, 5790, 281, 9752, 21469, 1612, 18, 2046, 289, 7739, 1157, 34657, 2913, 845, 4220, 5514, 1134, 18, 999, 502, 16, 374, 4511, 3162, 7080, 590, 6339, 435, 282, 290, 551, 6189, 277, 16, 29591, 898, 15434, 46017, 1728, 19671, 521, 12097, 3183, 25113, 18, 1178, 373, 322, 505, 12644, 17, 471, 17125, 560, 910, 33803, 873, 15976, 16447, 414, 8593, 749, 2297, 1020, 643, 6589, 16952, 18, 889, 4725, 282, 4398, 17033, 5881, 304, 7337, 289, 39207, 33803, 1275, 3720, 44520, 20173, 1624, 12605, 1779, 965, 282, 1335, 9155, 13729, 406, 1056, 265, 22288, 5514, 18, 478, 17616, 466, 373, 5658, 5138, 5790, 282, 23975, 808, 16, 289, 1743, 373, 322, 19740, 519, 21469, 18, 740, 3240, 4836, 16, 374, 656, 34447, 16, 289, 294, 35883, 2384, 1616, 3984, 26236, 281, 18016, 290, 970, 16, 374, 1299, 764, 10412, 2048, 18, 2787, 16, 374, 656, 45468, 282, 5572, 44056, 16, 21519, 435, 309, 4313, 1510, 1907, 4466, 18, 1345, 12503, 3338, 25592, 16, 289, 745, 37081, 861, 1870, 5039, 34492, 32124, 478, 25626, 470, 37398, 450, 43593, 440, 1624, 1029, 309, 21613, 17, 295, 20537, 46296, 16960, 9700, 2401, 5873, 16, 411, 40293, 1762, 3430, 680, 794, 36854, 11216, 2654, 282, 774, 382, 2314, 16, 18519, 322, 23175, 2904, 309, 481, 4179, 501, 468, 18, 478, 11844, 46489, 34883, 13051, 315, 18, 2465, 322, 10849, 282, 3709, 1610, 11186, 16, 515, 3684, 16, 374, 774, 276, 764, 22913, 18, 625, 1024, 553, 6836, 25542, 16, 510, 22618, 1187, 22724, 6147, 282, 7337, 3216, 1147, 38397, 18, 510, 4777, 17335 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13375, 281, 6575, 12252, 1873, 23186, 26206, 16, 6641, 382, 282, 25796, 309, 16752, 12012, 349, 478, 9297, 266, 442, 364, 346, 351, 47467, 9104, 4282, 910, 309, 478, 992, 626, 470, 289, 478, 1659, 265, 626, 910, 309, 808, 371, 306, 659, 973, 381, 25496, 27551, 18, 5126, 1685, 1335, 30273, 3047, 10191, 47134, 3720, 365, 1037, 16671, 1624, 10121, 28670, 2506, 289, 6363, 23963, 1412, 7960, 1624, 367, 1038, 8060, 13158, 21934, 36678, 16, 1029, 567, 808, 42574, 28855, 8207, 294, 1190, 22761, 2572, 281, 4170, 5322, 26774, 8474, 26741, 289, 365, 1037, 18190, 289, 867, 3818, 32704, 697, 541, 16864, 282, 3106, 478, 19051, 4877, 770, 470, 12137, 18, 365, 3198, 6276, 14662, 22157, 525, 289, 3772, 549, 3808, 12904, 16, 1754, 3225, 322, 36146, 282, 40804, 11861, 18, 1253, 322, 7786, 1067, 798, 537, 25384, 362, 982, 21624, 660, 2389, 16, 537, 3807, 31975, 383, 6390, 36004, 9061, 18, 37055, 10502, 4452, 281, 47787, 16, 502, 289, 1743, 282, 1169, 7501, 3712, 289, 3337, 6503, 4778, 47599, 18, 22658, 322, 5546, 14692, 541, 22207, 309, 5075, 31094, 25155, 16, 3057, 16, 8785, 1157, 8474, 26741, 16, 961, 898, 541, 1047, 23126, 7419, 624, 360, 11129, 18, 20782, 2116, 758, 19034, 289, 11307, 505, 2992, 8880, 46569, 29102, 283, 18, 8402, 665, 31975, 383, 4137, 41089, 19806, 8023, 11038, 722, 282, 31755, 426, 289, 2797, 1652, 687, 282, 10707, 1045, 16, 785, 678, 726, 27887, 27648, 38627, 289, 8338, 5075, 16, 289, 14326, 1354, 281, 8474, 277, 3032, 18, 365, 803, 16715, 24420, 26762, 294, 7951, 1744, 16, 4213, 16, 4836, 24649, 4556, 510, 2650, 10391, 1211, 37055, 10706, 289, 360, 367, 379, 22403, 2840, 773, 20752, 32549, 277, 1015, 718, 18339, 16, 289, 360, 12319, 36814, 8716, 48755, 505, 3053, 5364, 473, 4743, 16, 3057, 16, 4243, 281, 505, 29307, 16, 46505, 768, 540, 409, 21211, 814, 365, 3198, 505, 8474, 10905, 529, 12227, 7951, 4449, 16, 1029, 502, 289, 1743, 387, 6500, 2444, 411, 1978, 1378, 15515, 16, 329, 1850, 13815, 289, 38108, 1812, 18, 478, 26627, 12904, 31031, 346, 8474, 26741, 37279, 294, 44528, 655, 924, 25311, 18062, 13915, 735, 16, 282, 2486, 492, 11408, 22954, 2159, 1834, 49712, 539, 11945, 910, 510, 12698, 37055, 10502, 18, 2263, 492, 16, 9705, 16, 15879, 1893, 502, 575, 478, 960, 47728, 27646, 22565, 910, 515, 281, 4095, 351, 8939, 1015, 18, 1735, 3809, 16, 7178, 451, 3350, 572, 6061, 1614, 342, 5881, 1624, 42302, 309, 14973, 34891, 4453, 478, 7125, 392, 1444, 16088, 11106, 26276, 510, 6931, 45868, 25348, 14241, 3034, 3905, 861, 1735, 10733, 3359, 349, 17475, 478, 28756, 577, 23041, 289, 46338, 1816, 4195, 891, 470, 8474, 10905, 1543, 2163, 281, 1807, 282, 19189, 4226, 4907, 890, 21637, 9233, 359, 673, 272, 282, 1962, 416, 5828, 263, 16, 39023, 23679, 382, 16, 8985, 999, 577, 16, 36241, 365, 1037, 18190, 16, 308, 13278, 301, 33668, 289, 4070, 425, 18, 457, 735, 1245, 31936, 549, 2117, 282, 34857, 4362, 9268, 1222, 957, 22061, 28807, 510, 492, 23909, 282, 17288, 416, 14154, 491, 3750, 12239, 779, 18, 478, 33522, 1631, 309, 24006, 470, 25599, 8474, 26741, 428, 8121, 16, 2296, 11817, 478, 4743, 2521, 21104, 477, 3025, 19968, 6571, 5319, 470, 510, 27734, 16, 19130, 22265, 525, 478, 426, 420, 885, 470, 2002, 322, 43540, 977, 281, 478, 426, 4248, 416, 470, 10035, 16, 5773, 9160, 346, 294, 21480, 12640, 975, 1612, 18, 37055, 375, 2818, 8084, 16, 374, 3433, 14644, 16, 428, 8474, 10905, 16, 906, 373, 322, 36888, 8140, 3591, 7359, 21602, 510, 289, 10536, 17649, 38475, 1909, 373, 1360, 1218, 26499, 1685, 18, 2, 1, 87, 1456, 81, 2448, 30, 471, 22262, 470, 19121, 310, 21112, 778, 478, 33252, 10752, 266, 470, 289, 1196, 811, 282, 5910, 1161, 11918, 16180, 5538, 18, 2112, 5790, 282, 5579, 17, 13825, 5184, 2566, 434, 8440, 379, 3720, 21734, 21835, 2815, 16, 374, 16, 827, 492, 37396, 22803, 874, 16, 42215, 1858, 16379, 505, 641, 12831, 1855, 16, 367, 6548, 9680, 478, 25626, 470, 27742, 299, 421, 7195, 307, 16328, 17217, 309, 22189, 28628, 20836, 2749, 43656, 919, 18, 3557, 5547, 478, 44316, 470, 14084, 20665, 16, 329, 22603, 29532, 680, 478, 3127, 269, 275, 1414, 9232, 4695, 910, 374, 38331, 478, 919, 523, 470, 7550, 1034, 300, 21710, 8566, 8569, 32502, 18, 31224, 30, 40683, 17, 293, 4264, 297, 778, 478, 22262, 470, 45300, 271, 309, 3177, 4577, 21112, 778, 478, 33252, 10752, 266, 470, 473, 22, 30, 20, 13, 289, 9358, 811, 349, 1230, 843, 1790, 13270, 473, 20, 30, 21, 934, 334, 8872, 1949, 7821, 39264, 32940, 1196, 7678, 282, 5910, 1161, 11918, 16180, 5538, 18, 8615, 29426, 16432, 20455, 17, 296, 804, 17, 18967, 770, 639, 8084, 309, 7266, 1209, 13435, 1879, 5790, 281, 9752, 21469, 1612, 18, 2046, 289, 7739, 1157, 34657, 2913, 845, 4220, 5514, 1134, 18, 999, 502, 16, 374, 4511, 3162, 7080, 590, 6339, 435, 282, 290, 551, 6189, 277, 16, 29591, 898, 15434, 46017, 1728, 19671, 521, 12097, 3183, 25113, 18, 1178, 373, 322, 505, 12644, 17, 471, 17125, 560, 910, 33803, 873, 15976, 16447, 414, 8593, 749, 2297, 1020, 643, 6589, 16952, 18, 889, 4725, 282, 4398, 17033, 5881, 304, 7337, 289, 39207, 33803, 1275, 3720, 44520, 20173, 1624, 12605, 1779, 965, 282, 1335, 9155, 13729, 406, 1056, 265, 22288, 5514, 18, 478, 17616, 466, 373, 5658, 5138, 5790, 282, 23975, 808, 16, 289, 1743, 373, 322, 19740, 519, 21469, 18, 740, 3240, 4836, 16, 374, 656, 34447, 16, 289, 294, 35883, 2384, 1616, 3984, 26236, 281, 18016, 290, 970, 16, 374, 1299, 764, 10412, 2048, 18, 2787, 16, 374, 656, 45468, 282, 5572, 44056, 16, 21519, 435, 309, 4313, 1510, 1907, 4466, 18, 1345, 12503, 3338, 25592, 16, 289, 745, 37081, 861, 1870, 5039, 34492, 32124, 478, 25626, 470, 37398, 450, 43593, 440, 1624, 1029, 309, 21613, 17, 295, 20537, 46296, 16960, 9700, 2401, 5873, 16, 411, 40293, 1762, 3430, 680, 794, 36854, 11216, 2654, 282, 774, 382, 2314, 16, 18519, 322, 23175, 2904, 309, 481, 4179, 501, 468, 18, 478, 11844, 46489, 34883, 13051, 315, 18, 2465, 322, 10849, 282, 3709, 1610, 11186, 16, 515, 3684, 16, 374, 774, 276, 764, 22913, 18, 625, 1024, 553, 6836, 25542, 16, 510, 22618, 1187, 22724, 6147, 282, 7337, 3216, 1147, 38397, 18, 510, 4777, 17335 ]
[ 867, 16, 374, 656, 7451, 282, 5910, 1161, 11918, 18, 3923, 16, 417, 7542, 23159, 282, 5462, 582, 5790, 16, 1548, 374, 726, 5739, 309, 41093, 289, 1745, 322, 757, 4366, 10434, 18, 5996, 16, 374, 329, 813, 475, 7820, 18, 4777, 28352, 7168, 14497, 21861, 16, 961, 360, 7977, 294, 2384, 1616, 813, 24445, 18, 4338, 906, 1139, 8669, 549, 23822, 4271, 1681, 36655, 20455, 17, 296, 804, 17, 18967, 770, 282, 803, 8267, 2826, 4430, 12143, 18, 640, 26225, 478, 40683, 17, 9400, 470, 685, 12642, 3655, 2297, 1020, 643, 10890, 15513, 43415, 3283, 510, 13531, 3703, 27, 15364, 18, 439, 309, 11526, 3675, 10927, 281, 764, 2619, 10579, 416, 14647, 680, 478, 983, 845, 459, 20605, 446, 323, 470, 6498, 7640, 1286, 6695, 25467, 18, 365, 11099, 43415, 5384, 31819, 478, 40683, 17, 9400, 470, 282, 28731, 11258, 4896, 12151, 4317, 24, 35643, 18, 2387, 13110, 6348, 16, 1851, 4274, 23444, 330, 334, 9388, 4681, 16, 785, 309, 46033, 17, 295, 20537, 4944, 3183, 2325, 39923, 1737, 11216, 282, 1617, 8999, 1011, 7811, 282, 7570, 281, 28067, 478, 33252, 10752, 354, 861, 2046, 17771, 269, 10750, 3064, 12006, 8410, 477, 1963, 49353, 289, 47727, 1177, 774, 18, 985, 2815, 1011, 7977, 26713, 25236, 10171, 307, 5680, 9359, 16, 7193, 5773, 322, 5464, 1909, 334, 5083, 978, 733, 3831, 7889, 18, 478, 5798, 478, 33252, 10752, 266, 470, 17363, 282, 5462, 582, 16, 1833, 639, 4750, 16, 374, 745, 4037, 823, 326, 309, 40004, 546, 18, 2876, 417, 2141, 1329, 322, 7328, 282, 1613, 8427, 18, 1345, 4732, 1177, 10133, 16, 428, 289, 7187, 16, 510, 1763, 743, 21603, 11216, 18, 740, 2992, 1745, 322, 41714, 300, 16, 289, 21112, 873, 11930, 282, 5199, 18, 3654, 322, 3225, 21001, 13189, 35, 1345, 939, 1269, 22055, 428, 7193, 16, 289, 3891, 322, 7696, 27478, 16, 753, 4693, 5199, 309, 965, 289, 2048, 9258, 1815, 5335, 861, 9753, 8440, 379, 282, 8999, 478, 33252, 10752, 354, 470, 3720, 21734, 21835, 14403, 16, 374, 1177, 10133, 23934, 387, 23538, 8616, 18, 478, 8572, 700, 16, 374, 8056, 282, 5910, 1161, 11918, 16, 515, 939, 29372, 16, 453, 374, 1314, 329, 703, 3481, 274, 1775, 13554, 18, 740, 656, 2419, 16590, 1190, 5065, 38577, 6730, 16, 329, 22603, 282, 4056, 9547, 473, 20, 30, 21, 934, 289, 2558, 538, 519, 2900, 18, 13138, 371, 1574, 37122, 12278, 639, 373, 1139, 15596, 322, 6886, 2915, 18, 3557, 1033, 481, 1223, 1472, 5910, 1161, 11918, 16180, 5538, 18, 1937, 656, 45468, 21603, 11216, 16, 502, 2458, 5837, 1728, 39440, 18, 824, 7444, 16, 374, 840, 7339, 16, 289, 7820, 453, 16, 374, 2558, 538, 519, 21469, 1612, 18, 832, 26450, 414, 4443, 11548, 35, 8019, 16, 1548, 374, 29372, 18, 478, 33252, 10752, 266, 470, 282, 10209, 10660, 3196, 5432, 18, 439, 7736, 329, 1129, 1329, 322, 7820, 18, 48733, 281, 27742, 299, 421, 7195, 307, 11331, 817, 322, 13204, 784, 349, 5065, 5199, 4302, 31374, 18, 385, 14497, 17983, 35, 4320, 22803, 3797, 16, 745, 1030, 1973, 18, 832, 1763, 957, 651, 1747, 20707, 1380, 18, 6490, 19013, 861, 528, 1098, 5, 18004, 45557, 561, 67, 7828, 70, 9094, 10393, 486, 13762, 1136, 276, 18, 2086, 13278, 22979, 17, 21131, 18, 491, 17, 295, 10133, 18, 9094, 22262, 33252, 10752, 266, 491, 30, 20, 27839, 11, 3720, 21734, 21835, 18004, 79, 2542, 514, 9341, 29, 473, 554, 18612, 13, 376, 34821, 2948, 491, 30, 21, 31738, 18, 32767, 18, 3758, 19, 94, 49, 60, 5477, 26, 40, 59, 46, 39, 14427, 9680, 478, 25626, 470, 421, 7195, 307, 1011, 7977, 322, 41900, 811, 309, 20703, 272, 2200, 21166, 3328, 30, 478, 4441, 685, 16960, 10133, 16, 656, 12362, 3716, 2181, 4314, 5199, 18, 16234, 549, 46998, 3338, 12525, 289, 16, 2091, 575, 16, 25467, 18, 365, 1177, 445, 282, 22979, 17, 21131, 1299, 322, 939, 10849, 16, 1299, 32468, 939, 45735, 42262, 18, 19613, 14889, 16, 374, 309, 29536, 304, 10649, 840, 41648, 390, 18, 28066, 16, 46998, 3183, 25113, 282, 803, 8267, 939, 6174, 16, 515, 417, 8188, 16, 374, 656, 2125, 898, 14393, 874, 1032, 30, 20, 18, 1345, 21528, 4110, 289, 2125, 898, 12571, 1291, 281, 22304, 12932, 861, 3791, 38331, 33803, 1275, 322, 5291, 1646, 6528, 290, 13403, 11100, 14013, 263, 43656, 636, 16, 1029, 6181, 309, 4577, 1472, 309, 39423, 17, 295, 20537, 5790, 30, 478, 822, 24955, 807, 322, 17363, 537, 2236, 32657, 282, 11258, 35, 629, 475, 764, 10899, 16, 374, 492, 14145, 481, 2240, 18, 817, 1314, 2826, 322, 282, 3322, 7878, 16782, 4678, 16, 515, 417, 12723, 1719, 282, 28002, 43656, 636, 16, 282, 970, 16, 2024, 417, 3189, 334, 32224, 16, 282, 970, 16, 1029, 1763, 6310, 18, 459, 417, 12236, 16, 374, 492, 895, 6273, 18, 43458, 282, 774, 1408, 5917, 360, 42905, 1612, 30, 43656, 807, 11347, 3440, 289, 2391, 17363, 3440, 861, 7409, 5854, 1175, 282, 38396, 5538, 478, 44316, 470, 322, 10587, 6886, 282, 28747, 2301, 14452, 16, 10212, 512, 360, 4170, 29532, 680, 478, 3127, 269, 275, 1007, 38984, 861, 2112, 9764, 473, 23, 30, 22, 13, 309, 39566, 26225, 478, 919, 382, 470, 7829, 5979, 282, 25857, 289, 329, 7367, 477, 12932, 430, 30, 22, 16, 5612, 275, 2297, 1020, 643, 382, 349, 2948, 2708, 1081, 7919, 1593, 309, 49131, 4577, 18, 4377, 6284, 1162, 478, 780, 2025, 31878, 910, 519, 22799, 5980, 19198, 25762, 758, 14497, 17983, 16, 7382, 21528, 3271, 1634, 3898, 1275, 309, 7266, 3716, 1223, 7977, 18, 5890, 309, 27596, 20537, 5749, 28168, 12426, 3035, 1447, 6844, 2948, 16, 1146, 743, 11216, 282, 42808, 1011, 42029, 10687, 1728, 21315, 382, 5749, 4920, 265, 38101, 413, 18, 439, 282, 2456, 3998, 6740, 3298, 429, 6470, 599, 435, 344, 9592, 486, 3508, 9718, 319, 10665, 411, 17, 431, 40293, 36725, 289, 18946, 15702, 2820, 282, 32386, 6421, 651, 491, 30, 20, 18, 528, 1098, 5, 18004, 71, 86, 9426, 5266, 7350, 94, 72, 9845, 79, 9094, 57, 28289, 9094, 10393, 486, 13762, 1136, 276, 18, 2086, 13278, 22979, 17, 21131, 18, 9094, 3127, 269, 43777, 20659, 3629, 44316, 491, 30, 20, 12151, 11, 6470, 310, 350, 9592, 486, 18004, 43, 17563, 514, 47, 3669, 69, 29, 473, 6115, 3137, 2948, 1032, 30, 23, 13, 31738, 18, 32767, 18, 3758, 19, 21, 57, 23 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 867, 16, 374, 656, 7451, 282, 5910, 1161, 11918, 18, 3923, 16, 417, 7542, 23159, 282, 5462, 582, 5790, 16, 1548, 374, 726, 5739, 309, 41093, 289, 1745, 322, 757, 4366, 10434, 18, 5996, 16, 374, 329, 813, 475, 7820, 18, 4777, 28352, 7168, 14497, 21861, 16, 961, 360, 7977, 294, 2384, 1616, 813, 24445, 18, 4338, 906, 1139, 8669, 549, 23822, 4271, 1681, 36655, 20455, 17, 296, 804, 17, 18967, 770, 282, 803, 8267, 2826, 4430, 12143, 18, 640, 26225, 478, 40683, 17, 9400, 470, 685, 12642, 3655, 2297, 1020, 643, 10890, 15513, 43415, 3283, 510, 13531, 3703, 27, 15364, 18, 439, 309, 11526, 3675, 10927, 281, 764, 2619, 10579, 416, 14647, 680, 478, 983, 845, 459, 20605, 446, 323, 470, 6498, 7640, 1286, 6695, 25467, 18, 365, 11099, 43415, 5384, 31819, 478, 40683, 17, 9400, 470, 282, 28731, 11258, 4896, 12151, 4317, 24, 35643, 18, 2387, 13110, 6348, 16, 1851, 4274, 23444, 330, 334, 9388, 4681, 16, 785, 309, 46033, 17, 295, 20537, 4944, 3183, 2325, 39923, 1737, 11216, 282, 1617, 8999, 1011, 7811, 282, 7570, 281, 28067, 478, 33252, 10752, 354, 861, 2046, 17771, 269, 10750, 3064, 12006, 8410, 477, 1963, 49353, 289, 47727, 1177, 774, 18, 985, 2815, 1011, 7977, 26713, 25236, 10171, 307, 5680, 9359, 16, 7193, 5773, 322, 5464, 1909, 334, 5083, 978, 733, 3831, 7889, 18, 478, 5798, 478, 33252, 10752, 266, 470, 17363, 282, 5462, 582, 16, 1833, 639, 4750, 16, 374, 745, 4037, 823, 326, 309, 40004, 546, 18, 2876, 417, 2141, 1329, 322, 7328, 282, 1613, 8427, 18, 1345, 4732, 1177, 10133, 16, 428, 289, 7187, 16, 510, 1763, 743, 21603, 11216, 18, 740, 2992, 1745, 322, 41714, 300, 16, 289, 21112, 873, 11930, 282, 5199, 18, 3654, 322, 3225, 21001, 13189, 35, 1345, 939, 1269, 22055, 428, 7193, 16, 289, 3891, 322, 7696, 27478, 16, 753, 4693, 5199, 309, 965, 289, 2048, 9258, 1815, 5335, 861, 9753, 8440, 379, 282, 8999, 478, 33252, 10752, 354, 470, 3720, 21734, 21835, 14403, 16, 374, 1177, 10133, 23934, 387, 23538, 8616, 18, 478, 8572, 700, 16, 374, 8056, 282, 5910, 1161, 11918, 16, 515, 939, 29372, 16, 453, 374, 1314, 329, 703, 3481, 274, 1775, 13554, 18, 740, 656, 2419, 16590, 1190, 5065, 38577, 6730, 16, 329, 22603, 282, 4056, 9547, 473, 20, 30, 21, 934, 289, 2558, 538, 519, 2900, 18, 13138, 371, 1574, 37122, 12278, 639, 373, 1139, 15596, 322, 6886, 2915, 18, 3557, 1033, 481, 1223, 1472, 5910, 1161, 11918, 16180, 5538, 18, 1937, 656, 45468, 21603, 11216, 16, 502, 2458, 5837, 1728, 39440, 18, 824, 7444, 16, 374, 840, 7339, 16, 289, 7820, 453, 16, 374, 2558, 538, 519, 21469, 1612, 18, 832, 26450, 414, 4443, 11548, 35, 8019, 16, 1548, 374, 29372, 18, 478, 33252, 10752, 266, 470, 282, 10209, 10660, 3196, 5432, 18, 439, 7736, 329, 1129, 1329, 322, 7820, 18, 48733, 281, 27742, 299, 421, 7195, 307, 11331, 817, 322, 13204, 784, 349, 5065, 5199, 4302, 31374, 18, 385, 14497, 17983, 35, 4320, 22803, 3797, 16, 745, 1030, 1973, 18, 832, 1763, 957, 651, 1747, 20707, 1380, 18, 6490, 19013, 861, 528, 1098, 5, 18004, 45557, 561, 67, 7828, 70, 9094, 10393, 486, 13762, 1136, 276, 18, 2086, 13278, 22979, 17, 21131, 18, 491, 17, 295, 10133, 18, 9094, 22262, 33252, 10752, 266, 491, 30, 20, 27839, 11, 3720, 21734, 21835, 18004, 79, 2542, 514, 9341, 29, 473, 554, 18612, 13, 376, 34821, 2948, 491, 30, 21, 31738, 18, 32767, 18, 3758, 19, 94, 49, 60, 5477, 26, 40, 59, 46, 39, 14427, 9680, 478, 25626, 470, 421, 7195, 307, 1011, 7977, 322, 41900, 811, 309, 20703, 272, 2200, 21166, 3328, 30, 478, 4441, 685, 16960, 10133, 16, 656, 12362, 3716, 2181, 4314, 5199, 18, 16234, 549, 46998, 3338, 12525, 289, 16, 2091, 575, 16, 25467, 18, 365, 1177, 445, 282, 22979, 17, 21131, 1299, 322, 939, 10849, 16, 1299, 32468, 939, 45735, 42262, 18, 19613, 14889, 16, 374, 309, 29536, 304, 10649, 840, 41648, 390, 18, 28066, 16, 46998, 3183, 25113, 282, 803, 8267, 939, 6174, 16, 515, 417, 8188, 16, 374, 656, 2125, 898, 14393, 874, 1032, 30, 20, 18, 1345, 21528, 4110, 289, 2125, 898, 12571, 1291, 281, 22304, 12932, 861, 3791, 38331, 33803, 1275, 322, 5291, 1646, 6528, 290, 13403, 11100, 14013, 263, 43656, 636, 16, 1029, 6181, 309, 4577, 1472, 309, 39423, 17, 295, 20537, 5790, 30, 478, 822, 24955, 807, 322, 17363, 537, 2236, 32657, 282, 11258, 35, 629, 475, 764, 10899, 16, 374, 492, 14145, 481, 2240, 18, 817, 1314, 2826, 322, 282, 3322, 7878, 16782, 4678, 16, 515, 417, 12723, 1719, 282, 28002, 43656, 636, 16, 282, 970, 16, 2024, 417, 3189, 334, 32224, 16, 282, 970, 16, 1029, 1763, 6310, 18, 459, 417, 12236, 16, 374, 492, 895, 6273, 18, 43458, 282, 774, 1408, 5917, 360, 42905, 1612, 30, 43656, 807, 11347, 3440, 289, 2391, 17363, 3440, 861, 7409, 5854, 1175, 282, 38396, 5538, 478, 44316, 470, 322, 10587, 6886, 282, 28747, 2301, 14452, 16, 10212, 512, 360, 4170, 29532, 680, 478, 3127, 269, 275, 1007, 38984, 861, 2112, 9764, 473, 23, 30, 22, 13, 309, 39566, 26225, 478, 919, 382, 470, 7829, 5979, 282, 25857, 289, 329, 7367, 477, 12932, 430, 30, 22, 16, 5612, 275, 2297, 1020, 643, 382, 349, 2948, 2708, 1081, 7919, 1593, 309, 49131, 4577, 18, 4377, 6284, 1162, 478, 780, 2025, 31878, 910, 519, 22799, 5980, 19198, 25762, 758, 14497, 17983, 16, 7382, 21528, 3271, 1634, 3898, 1275, 309, 7266, 3716, 1223, 7977, 18, 5890, 309, 27596, 20537, 5749, 28168, 12426, 3035, 1447, 6844, 2948, 16, 1146, 743, 11216, 282, 42808, 1011, 42029, 10687, 1728, 21315, 382, 5749, 4920, 265, 38101, 413, 18, 439, 282, 2456, 3998, 6740, 3298, 429, 6470, 599, 435, 344, 9592, 486, 3508, 9718, 319, 10665, 411, 17, 431, 40293, 36725, 289, 18946, 15702, 2820, 282, 32386, 6421, 651, 491, 30, 20, 18, 528, 1098, 5, 18004, 71, 86, 9426, 5266, 7350, 94, 72, 9845, 79, 9094, 57, 28289, 9094, 10393, 486, 13762, 1136, 276, 18, 2086, 13278, 22979, 17, 21131, 18, 9094, 3127, 269, 43777, 20659, 3629, 44316, 491, 30, 20, 12151, 11, 6470, 310, 350, 9592, 486, 18004, 43, 17563, 514, 47, 3669, 69, 29, 473, 6115, 3137, 2948, 1032, 30, 23, 13, 31738, 18, 32767, 18, 3758, 19, 21, 57, 23 ]
[ 82, 56, 59, 60, 81, 37, 45, 2112, 5790, 2355, 296, 1985, 8566, 1177, 1763, 22396, 11216, 3818, 13842, 282, 1360, 24087, 30, 478, 1140, 703, 685, 1300, 402, 19733, 15285, 18, 1178, 5298, 309, 10579, 7977, 289, 2083, 16, 282, 1029, 417, 17363, 16, 502, 481, 20680, 3560, 16089, 774, 282, 3212, 24087, 18, 629, 2002, 3229, 322, 11347, 282, 2297, 1020, 643, 1165, 16, 289, 784, 373, 3813, 8593, 282, 478, 3127, 269, 275, 1414, 9232, 4695, 861, 20827, 5750, 3675, 6730, 18, 6023, 1513, 17705, 3655, 11389, 18, 31084, 373, 32568, 9798, 17799, 4966, 2230, 314, 287, 486, 8815, 40325, 16, 1029, 322, 22040, 360, 703, 1011, 18858, 31598, 282, 6104, 1045, 18, 20601, 539, 6910, 15324, 11620, 3033, 7905, 347, 392, 9880, 647, 21211, 1624, 1029, 1038, 282, 703, 19227, 910, 510, 15875, 36766, 10127, 11571, 1509, 74, 18, 1681, 6398, 5790, 5815, 2250, 13720, 1275, 6288, 562, 16130, 6739, 285, 5009, 2022, 19924, 282, 20545, 16, 7243, 9935, 37811, 16, 515, 9422, 4176, 4699, 537, 19090, 726, 322, 7820, 16, 4813, 309, 5270, 21312, 5856, 1879, 18, 528, 1098, 5, 18004, 25431, 47, 22883, 82, 1638, 559, 9094, 57, 28289, 9094, 10393, 486, 13762, 1136, 276, 18, 2086, 13278, 22979, 17, 21131, 18, 9094, 3127, 269, 43777, 20659, 3629, 44316, 491, 30, 21, 23902, 11, 6288, 562, 16130, 6739, 285, 473, 10089, 33453, 13, 473, 6115, 3137, 2948, 1032, 30, 24, 13, 31738, 18, 32767, 18, 3758, 19, 7156, 90, 10207, 54, 52, 57, 44, 28, 478, 1140, 478, 3127, 269, 275, 1007, 38984, 470, 639, 1269, 34565, 333, 16, 289, 1299, 2669, 6898, 3196, 12271, 18, 1345, 10052, 339, 1654, 9164, 10099, 5364, 16, 515, 481, 685, 322, 1379, 1119, 289, 322, 5571, 2117, 16, 510, 13749, 6548, 9680, 478, 13555, 268, 540, 287, 470, 7550, 1034, 300, 21710, 18, 510, 15544, 3637, 567, 7422, 44056, 374, 17, 299, 2048, 16, 45468, 1176, 774, 16, 329, 813, 685, 9700, 282, 27283, 808, 16, 10677, 16, 374, 322, 3221, 9529, 18, 6023, 5702, 28075, 6149, 309, 33921, 12013, 16, 753, 1858, 18908, 282, 38396, 5538, 18, 1012, 1123, 411, 978, 14452, 510, 481, 35405, 541, 813, 910, 510, 15875, 42398, 478, 919, 523, 470, 14690, 4721, 565, 18, 86, 87, 18, 11333, 7036, 16, 6034, 289, 25956, 942, 5298, 309, 7759, 16180, 5538, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 24073, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 36779, 4350, 17348, 22213, 13034, 341, 294, 15248, 4090, 8621, 290, 9019, 34740, 1751, 13557, 26155, 779, 18, 6592, 5792, 16, 28286, 4781, 807, 5967, 18222, 282, 9893, 282, 25501, 16086, 4593, 13986, 18, 38510, 23310, 16, 27966, 16, 840, 17601, 1954, 567, 6477, 16102, 6571, 2793, 18, 31224, 30, 684, 375, 9960, 5581, 4761, 4350, 17348, 22213, 14145, 28286, 1728, 4090, 8621, 290, 9019, 34740, 1751, 13557, 9190, 779, 18, 824, 3352, 4731, 658, 26528, 16, 294, 15248, 8621, 38699, 13034, 341, 309, 2923, 9893, 16, 367, 1717, 510, 282, 25501, 16086, 4593, 13986, 16, 42571, 282, 3829, 404, 22802, 405, 307, 14475, 18, 4635, 1122, 16, 827, 9611, 39394, 473, 275, 4761, 4350, 17348, 22213, 16, 374, 4748, 16, 8915, 5792, 764, 322, 23051, 934, 1747, 2352, 465, 548, 15447, 16, 961, 48346, 290, 16, 7260, 16, 39902, 4436, 17758, 2252, 16102, 6571, 2793, 18, 985, 10050, 7897, 16, 4498, 282, 7204, 1750, 16, 3848, 1223, 16, 19423, 290, 13208, 4044, 4015, 416, 1662, 642, 670, 4781, 807, 15022, 478, 12616, 2497, 470, 510, 1426, 9756, 16, 2301, 5348, 1639, 3147, 895, 5911, 3124, 282, 3998, 1939, 17, 361, 3931, 16, 2125, 19111, 309, 6867, 2165, 282, 4542, 25831, 779, 18, 4756, 2438, 3665, 16, 374, 19809, 4119, 282, 19136, 17, 21131, 263, 290, 11484, 466, 9810, 1161, 16, 1033, 17980, 428, 4015, 549, 37797, 16, 2417, 3213, 38494, 46809, 47506, 363, 29499, 1624, 49302, 1712, 27734, 282, 5329, 17618, 726, 18447, 973, 27492, 3502, 460, 936, 473, 478, 38877, 501, 451, 9215, 491, 470, 1624, 478, 780, 285, 1947, 470, 1624, 478, 27059, 308, 28057, 30, 34889, 6888, 470, 1624, 478, 780, 285, 1947, 30, 625, 287, 4579, 266, 10084, 470, 1624, 478, 27059, 308, 28057, 30, 1483, 24303, 14262, 470, 289, 478, 780, 285, 1947, 30, 26291, 40374, 470, 17014, 45732, 8736, 343, 16, 5938, 27752, 3352, 16, 7781, 1829, 43374, 290, 17758, 16, 14170, 973, 281, 29108, 41458, 24306, 6396, 1760, 986, 1011, 27928, 3875, 18, 378, 30557, 9756, 12731, 8087, 309, 430, 3598, 25831, 779, 18, 1895, 7627, 4309, 8621, 42675, 44329, 2016, 478, 31542, 1452, 718, 21167, 6871, 470, 289, 478, 1098, 4642, 470, 16441, 1034, 1701, 6047, 16, 37917, 1754, 8641, 6129, 4416, 3253, 47506, 363, 29499, 16, 1220, 12866, 3465, 845, 8941, 5793, 14443, 27060, 382, 18, 44510, 1502, 478, 15164, 416, 1662, 642, 470, 473, 22741, 536, 7848, 4871, 16, 294, 15695, 16, 1055, 374, 322, 29722, 4873, 330, 13, 18585, 28905, 1452, 18509, 17098, 16, 5824, 27723, 2507, 294, 478, 26053, 788, 272, 861, 7886, 306, 409, 2661, 9756, 3029, 4633, 42255, 32302, 607, 16, 22216, 439, 2221, 3008, 289, 32618, 450, 11, 1605, 436, 3190, 299, 18, 999, 4119, 282, 19136, 17, 21131, 263, 478, 780, 285, 1643, 470, 47506, 363, 29499, 2879, 3604, 2364, 4843, 4691, 3763, 16, 374, 282, 6940, 445, 12514, 25372, 454, 2059, 411, 3322, 8052, 8412, 447, 11881, 282, 49344, 14347, 18, 4015, 549, 365, 23372, 20330, 345, 6406, 282, 32290, 4330, 282, 8151, 5259, 17, 292, 5521, 18, 6592, 47901, 44113, 16, 21049, 6605, 309, 1405, 282, 10494, 20909, 764, 519, 2742, 7409, 6571, 2793, 18, 2151, 460, 1752, 5169, 282, 39908, 7353, 16, 678, 7860, 25177, 35879, 6848, 496, 16, 1754, 12161, 3287, 290, 32786, 428, 290, 12945, 18, 5890, 10265, 43926, 845, 16, 9810, 401, 49055, 282, 26282, 14943, 1034, 4476, 12568, 16, 4483, 7894, 1449, 2042, 496, 334, 3946, 34410, 44294, 16, 289, 6276, 349, 1047, 8605, 18, 2112, 11337, 17653, 4228, 282, 6642, 290, 1169, 6554, 1852, 1228, 613, 5039, 496, 510, 1717, 282, 24306, 1450, 906, 12864, 798, 22182, 343, 478, 15164, 549, 365, 23372, 861, 378, 23901, 451, 2083, 541, 9019, 6157, 323, 680, 20700, 11484, 460, 33529, 16, 785, 18799, 11775, 5658, 797, 1491, 1086, 309, 1420, 5651, 7529, 1537, 12190, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 82, 56, 59, 60, 81, 37, 45, 2112, 5790, 2355, 296, 1985, 8566, 1177, 1763, 22396, 11216, 3818, 13842, 282, 1360, 24087, 30, 478, 1140, 703, 685, 1300, 402, 19733, 15285, 18, 1178, 5298, 309, 10579, 7977, 289, 2083, 16, 282, 1029, 417, 17363, 16, 502, 481, 20680, 3560, 16089, 774, 282, 3212, 24087, 18, 629, 2002, 3229, 322, 11347, 282, 2297, 1020, 643, 1165, 16, 289, 784, 373, 3813, 8593, 282, 478, 3127, 269, 275, 1414, 9232, 4695, 861, 20827, 5750, 3675, 6730, 18, 6023, 1513, 17705, 3655, 11389, 18, 31084, 373, 32568, 9798, 17799, 4966, 2230, 314, 287, 486, 8815, 40325, 16, 1029, 322, 22040, 360, 703, 1011, 18858, 31598, 282, 6104, 1045, 18, 20601, 539, 6910, 15324, 11620, 3033, 7905, 347, 392, 9880, 647, 21211, 1624, 1029, 1038, 282, 703, 19227, 910, 510, 15875, 36766, 10127, 11571, 1509, 74, 18, 1681, 6398, 5790, 5815, 2250, 13720, 1275, 6288, 562, 16130, 6739, 285, 5009, 2022, 19924, 282, 20545, 16, 7243, 9935, 37811, 16, 515, 9422, 4176, 4699, 537, 19090, 726, 322, 7820, 16, 4813, 309, 5270, 21312, 5856, 1879, 18, 528, 1098, 5, 18004, 25431, 47, 22883, 82, 1638, 559, 9094, 57, 28289, 9094, 10393, 486, 13762, 1136, 276, 18, 2086, 13278, 22979, 17, 21131, 18, 9094, 3127, 269, 43777, 20659, 3629, 44316, 491, 30, 21, 23902, 11, 6288, 562, 16130, 6739, 285, 473, 10089, 33453, 13, 473, 6115, 3137, 2948, 1032, 30, 24, 13, 31738, 18, 32767, 18, 3758, 19, 7156, 90, 10207, 54, 52, 57, 44, 28, 478, 1140, 478, 3127, 269, 275, 1007, 38984, 470, 639, 1269, 34565, 333, 16, 289, 1299, 2669, 6898, 3196, 12271, 18, 1345, 10052, 339, 1654, 9164, 10099, 5364, 16, 515, 481, 685, 322, 1379, 1119, 289, 322, 5571, 2117, 16, 510, 13749, 6548, 9680, 478, 13555, 268, 540, 287, 470, 7550, 1034, 300, 21710, 18, 510, 15544, 3637, 567, 7422, 44056, 374, 17, 299, 2048, 16, 45468, 1176, 774, 16, 329, 813, 685, 9700, 282, 27283, 808, 16, 10677, 16, 374, 322, 3221, 9529, 18, 6023, 5702, 28075, 6149, 309, 33921, 12013, 16, 753, 1858, 18908, 282, 38396, 5538, 18, 1012, 1123, 411, 978, 14452, 510, 481, 35405, 541, 813, 910, 510, 15875, 42398, 478, 919, 523, 470, 14690, 4721, 565, 18, 86, 87, 18, 11333, 7036, 16, 6034, 289, 25956, 942, 5298, 309, 7759, 16180, 5538, 16, 367, 1038, 282, 22018, 6660, 7928, 282, 8347, 13636, 10249, 289, 478, 24073, 470, 1492, 2, 1, 87, 1456, 81, 2448, 30, 36779, 4350, 17348, 22213, 13034, 341, 294, 15248, 4090, 8621, 290, 9019, 34740, 1751, 13557, 26155, 779, 18, 6592, 5792, 16, 28286, 4781, 807, 5967, 18222, 282, 9893, 282, 25501, 16086, 4593, 13986, 18, 38510, 23310, 16, 27966, 16, 840, 17601, 1954, 567, 6477, 16102, 6571, 2793, 18, 31224, 30, 684, 375, 9960, 5581, 4761, 4350, 17348, 22213, 14145, 28286, 1728, 4090, 8621, 290, 9019, 34740, 1751, 13557, 9190, 779, 18, 824, 3352, 4731, 658, 26528, 16, 294, 15248, 8621, 38699, 13034, 341, 309, 2923, 9893, 16, 367, 1717, 510, 282, 25501, 16086, 4593, 13986, 16, 42571, 282, 3829, 404, 22802, 405, 307, 14475, 18, 4635, 1122, 16, 827, 9611, 39394, 473, 275, 4761, 4350, 17348, 22213, 16, 374, 4748, 16, 8915, 5792, 764, 322, 23051, 934, 1747, 2352, 465, 548, 15447, 16, 961, 48346, 290, 16, 7260, 16, 39902, 4436, 17758, 2252, 16102, 6571, 2793, 18, 985, 10050, 7897, 16, 4498, 282, 7204, 1750, 16, 3848, 1223, 16, 19423, 290, 13208, 4044, 4015, 416, 1662, 642, 670, 4781, 807, 15022, 478, 12616, 2497, 470, 510, 1426, 9756, 16, 2301, 5348, 1639, 3147, 895, 5911, 3124, 282, 3998, 1939, 17, 361, 3931, 16, 2125, 19111, 309, 6867, 2165, 282, 4542, 25831, 779, 18, 4756, 2438, 3665, 16, 374, 19809, 4119, 282, 19136, 17, 21131, 263, 290, 11484, 466, 9810, 1161, 16, 1033, 17980, 428, 4015, 549, 37797, 16, 2417, 3213, 38494, 46809, 47506, 363, 29499, 1624, 49302, 1712, 27734, 282, 5329, 17618, 726, 18447, 973, 27492, 3502, 460, 936, 473, 478, 38877, 501, 451, 9215, 491, 470, 1624, 478, 780, 285, 1947, 470, 1624, 478, 27059, 308, 28057, 30, 34889, 6888, 470, 1624, 478, 780, 285, 1947, 30, 625, 287, 4579, 266, 10084, 470, 1624, 478, 27059, 308, 28057, 30, 1483, 24303, 14262, 470, 289, 478, 780, 285, 1947, 30, 26291, 40374, 470, 17014, 45732, 8736, 343, 16, 5938, 27752, 3352, 16, 7781, 1829, 43374, 290, 17758, 16, 14170, 973, 281, 29108, 41458, 24306, 6396, 1760, 986, 1011, 27928, 3875, 18, 378, 30557, 9756, 12731, 8087, 309, 430, 3598, 25831, 779, 18, 1895, 7627, 4309, 8621, 42675, 44329, 2016, 478, 31542, 1452, 718, 21167, 6871, 470, 289, 478, 1098, 4642, 470, 16441, 1034, 1701, 6047, 16, 37917, 1754, 8641, 6129, 4416, 3253, 47506, 363, 29499, 16, 1220, 12866, 3465, 845, 8941, 5793, 14443, 27060, 382, 18, 44510, 1502, 478, 15164, 416, 1662, 642, 470, 473, 22741, 536, 7848, 4871, 16, 294, 15695, 16, 1055, 374, 322, 29722, 4873, 330, 13, 18585, 28905, 1452, 18509, 17098, 16, 5824, 27723, 2507, 294, 478, 26053, 788, 272, 861, 7886, 306, 409, 2661, 9756, 3029, 4633, 42255, 32302, 607, 16, 22216, 439, 2221, 3008, 289, 32618, 450, 11, 1605, 436, 3190, 299, 18, 999, 4119, 282, 19136, 17, 21131, 263, 478, 780, 285, 1643, 470, 47506, 363, 29499, 2879, 3604, 2364, 4843, 4691, 3763, 16, 374, 282, 6940, 445, 12514, 25372, 454, 2059, 411, 3322, 8052, 8412, 447, 11881, 282, 49344, 14347, 18, 4015, 549, 365, 23372, 20330, 345, 6406, 282, 32290, 4330, 282, 8151, 5259, 17, 292, 5521, 18, 6592, 47901, 44113, 16, 21049, 6605, 309, 1405, 282, 10494, 20909, 764, 519, 2742, 7409, 6571, 2793, 18, 2151, 460, 1752, 5169, 282, 39908, 7353, 16, 678, 7860, 25177, 35879, 6848, 496, 16, 1754, 12161, 3287, 290, 32786, 428, 290, 12945, 18, 5890, 10265, 43926, 845, 16, 9810, 401, 49055, 282, 26282, 14943, 1034, 4476, 12568, 16, 4483, 7894, 1449, 2042, 496, 334, 3946, 34410, 44294, 16, 289, 6276, 349, 1047, 8605, 18, 2112, 11337, 17653, 4228, 282, 6642, 290, 1169, 6554, 1852, 1228, 613, 5039, 496, 510, 1717, 282, 24306, 1450, 906, 12864, 798, 22182, 343, 478, 15164, 549, 365, 23372, 861, 378, 23901, 451, 2083, 541, 9019, 6157, 323, 680, 20700, 11484, 460, 33529, 16, 785, 18799, 11775, 5658, 797, 1491, 1086, 309, 1420, 5651, 7529, 1537, 12190, 454 ]