Bradley/fineweb-sample-100BT_over-2048-tokens-subset-split-processed-l3tokenizer

input_ids sequencelengths 1.1k 2.05k	attention_mask sequencelengths 1.1k 2.05k
[ 128000, 791, 57535, 14890, 832, 4295, 662, 578, 62191, 4295, 4330, 2162, 8640, 13, 1472, 656, 279, 7033, 13, 4418, 1431, 1095, 279, 57535, 656, 279, 7033, 13, 2435, 32069, 8530, 220, 18, 11, 931, 315, 603, 311, 356, 12583, 8771, 11, 3686, 5068, 264, 7318, 28116, 315, 220, 508, 11, 11771, 13, 13266, 527, 14741, 6216, 13, 4427, 220, 1114, 11, 931, 12966, 15075, 477, 1047, 15075, 389, 872, 17981, 264, 11989, 369, 279, 1847, 315, 7159, 3814, 11, 6250, 220, 24, 11, 220, 679, 18, 11, 323, 3287, 1431, 1005, 433, 11, 4184, 311, 420, 37072, 38152, 627, 791, 2800, 315, 603, 11, 279, 220, 18, 11, 931, 315, 603, 889, 1511, 264, 11989, 18570, 15038, 15075, 2001, 323, 358, 22225, 3287, 1431, 7782, 10705, 2001, 584, 4024, 311, 279, 12544, 315, 9204, 709, 11, 902, 9711, 603, 304, 279, 32487, 2883, 315, 67765, 52186, 11, 9973, 569, 12168, 11, 13960, 66758, 11, 19455, 942, 36880, 339, 11, 32320, 20832, 323, 17882, 69913, 13, 13266, 7752, 8710, 709, 682, 927, 279, 3830, 5573, 13, 52186, 374, 279, 7564, 889, 6688, 709, 279, 832, 4295, 311, 279, 57535, 927, 11888, 36100, 13, 578, 3885, 9932, 4295, 279, 4330, 2162, 8640, 430, 41853, 369, 279, 11888, 8640, 16957, 555, 279, 62191, 627, 32, 36366, 62461, 92186, 2439, 311, 4284, 279, 57535, 3287, 1431, 1501, 709, 11, 719, 912, 11, 20426, 220, 1114, 11, 931, 1343, 519, 7085, 315, 279, 18042, 87139, 11, 358, 5602, 18217, 336, 449, 856, 1866, 6548, 13, 358, 5602, 30397, 55507, 11, 8965, 17508, 817, 1285, 19336, 1543, 11, 2187, 2162, 8640, 311, 813, 1176, 1403, 293, 10385, 323, 29602, 2972, 505, 1070, 13, 358, 5602, 16431, 50723, 11, 889, 2643, 387, 810, 15230, 481, 422, 568, 1051, 13673, 477, 264, 49112, 37500, 304, 279, 40972, 11, 3820, 709, 1405, 568, 2163, 1022, 279, 1566, 892, 568, 574, 2212, 11, 902, 374, 311, 2019, 20910, 1405, 430, 27860, 3245, 1120, 27212, 13, 358, 5602, 39315, 445, 34097, 320, 55202, 398, 8, 5471, 264, 912, 2902, 3328, 304, 279, 31487, 46386, 323, 264, 925, 315, 39315, 445, 34097, 753, 32746, 1615, 23772, 311, 5471, 58272, 2785, 52186, 449, 264, 1403, 2902, 3328, 627, 40, 1766, 11098, 3368, 11, 2288, 11, 719, 889, 3250, 1431, 5380, 14262, 311, 279, 6250, 315, 279, 45878, 13836, 13, 1102, 753, 279, 43641, 2305, 315, 1475, 1060, 11, 279, 26084, 2305, 315, 1475, 3280, 323, 11, 5029, 1203, 311, 220, 1049, 24, 11, 279, 9998, 505, 902, 539, 2500, 6068, 315, 6680, 649, 11000, 387, 49523, 13, 1102, 753, 994, 1070, 374, 912, 3987, 323, 912, 2944, 369, 904, 13, 1102, 753, 994, 25703, 287, 374, 60791, 1606, 279, 57535, 36342, 6920, 12466, 14432, 49995, 311, 1475, 6166, 21828, 1475, 6250, 13, 2435, 3207, 85692, 291, 13, 2435, 3207, 63074, 291, 13, 2435, 3207, 704, 79, 10880, 13, 2435, 3207, 704, 315, 433, 13, 2435, 3207, 220, 1544, 23651, 8748, 311, 387, 9879, 323, 539, 277, 1534, 627, 2181, 753, 1193, 14363, 6147, 422, 499, 10491, 311, 387, 14363, 6901, 555, 433, 13, 578, 57535, 8571, 889, 27441, 264, 1949, 11989, 1606, 11, 74777, 433, 682, 311, 47781, 11, 568, 753, 57727, 311, 20075, 323, 5041, 79, 7341, 11, 13434, 1431, 387, 14363, 6901, 555, 433, 13, 1283, 1288, 5766, 1701, 32847, 1093, 11, 1054, 2028, 374, 264, 64935, 2029, 3639, 64935, 30, 578, 57535, 10862, 420, 3280, 449, 912, 6140, 311, 656, 4205, 323, 814, 4070, 12439, 709, 311, 1884, 17078, 13, 2435, 4070, 7263, 433, 2162, 304, 1742, 555, 80417, 5694, 315, 3025, 13162, 323, 57042, 43839, 811, 304, 12178, 315, 6250, 11, 28592, 15803, 287, 430, 420, 6250, 1053, 10570, 1790, 439, 279, 832, 1603, 433, 323, 279, 832, 1603, 430, 323, 779, 389, 13, 4343, 279, 26120, 389, 279, 24833, 13, 2684, 2011, 387, 264, 17575, 922, 3987, 1694, 27010, 389, 279, 35022, 505, 6250, 220, 16, 4741, 627, 3112, 279, 4027, 2082, 2011, 617, 2555, 311, 2019, 922, 87799, 220, 1114, 11, 931, 9525, 774, 33220, 505, 16661, 1555, 904, 18618, 627, 4071, 358, 1550, 26202, 369, 420, 16720, 13, 358, 74771, 99325, 13, 1472, 2019, 1054, 34, 12583, 8771, 2476, 323, 358, 2610, 11, 1054, 3923, 892, 12671, 358, 574, 1070, 1664, 1603, 220, 22, 25, 605, 13, 358, 34793, 311, 1057, 6041, 28612, 7376, 1418, 11689, 279, 2115, 2237, 13, 358, 15203, 323, 358, 1206, 5795, 1093, 358, 8967, 433, 627, 70850, 1022, 11, 279, 2163, 2115, 261, 11, 16645, 13566, 11, 16014, 627, 59500, 1303, 2132, 11, 279, 2132, 84403, 11, 15469, 31053, 627, 59500, 1303, 4948, 11, 279, 1314, 2115, 261, 11, 13929, 10690, 627, 5176, 5795, 369, 1475, 832, 315, 1124, 13, 1398, 38477, 28361, 2085, 51705, 439, 358, 15203, 13, 358, 6755, 19093, 775, 1206, 3713, 477, 506, 51867, 11, 539, 1884, 3235, 279, 3613, 5366, 11, 539, 1884, 520, 872, 16712, 320, 501, 7313, 315, 902, 1051, 2103, 2561, 439, 279, 9042, 15753, 9017, 8254, 4390, 59500, 1303, 11999, 11, 279, 1176, 84403, 11, 32103, 423, 8213, 627, 59500, 1303, 18172, 11, 279, 2875, 9684, 11, 23278, 34131, 627, 59500, 1303, 26084, 11, 279, 4219, 2115, 261, 11, 29604, 33471, 5518, 627, 40, 574, 13490, 20930, 11, 719, 358, 6612, 422, 358, 6688, 856, 1888, 311, 13929, 10690, 11, 358, 7846, 1431, 87900, 433, 505, 23278, 34131, 13, 1628, 3249, 1288, 358, 30, 34131, 4295, 1403, 2162, 8640, 304, 24372, 13, 10690, 753, 264, 2216, 26613, 11999, 6801, 58710, 67437, 261, 13, 358, 1436, 3821, 33471, 5518, 2571, 704, 31322, 3122, 261, 359, 5079, 682, 3814, 1981, 333, 1193, 279, 3122, 261, 359, 5079, 15058, 1431, 26267, 5535, 311, 1629, 2212, 279, 23963, 653, 6802, 31035, 3131, 279, 20953, 814, 4295, 23803, 279, 25675, 627, 59500, 1303, 31487, 11, 279, 4948, 84403, 11, 10785, 1195, 74052, 627, 59500, 1303, 37477, 11, 279, 68898, 11, 41810, 294, 529, 7098, 3458, 664, 627, 59500, 1303, 43641, 323, 47541, 11, 30397, 55507, 627, 2675, 1440, 1268, 279, 64626, 2064, 6572, 369, 264, 34422, 477, 264, 423, 76039, 477, 264, 92795, 994, 814, 3207, 7376, 439, 51910, 43641, 323, 47541, 30, 1102, 1587, 912, 1778, 3245, 369, 264, 30397, 55507, 13, 3011, 753, 264, 21648, 1455, 22178, 13, 1102, 753, 264, 21648, 279, 28278, 315, 33018, 279, 2162, 2128, 658, 51650, 2753, 20392, 1109, 279, 9455, 315, 11098, 3368, 13, 2030, 1070, 753, 264, 2763, 315, 49612, 2133, 2212, 7389, 499, 3207, 27702, 13, 21347, 520, 264, 57535, 11500, 367, 1147, 1847, 389, 7159, 3814, 11, 6250, 220, 24, 11, 220, 679, 18, 11, 3250, 1431, 14647, 1304, 499, 27702, 13, 21347, 520, 264, 57535, 11500, 367, 1147, 1847, 389, 7159, 3814, 11, 6250, 220, 24, 11, 220, 679, 18, 11, 4762, 3727, 499, 279, 82407, 315, 18570, 889, 574, 3411, 311, 636, 9463, 315, 264, 11989, 311, 430, 57535, 11500, 367, 1147, 1847, 13, 1666, 279, 28612, 753, 18528, 574, 7376, 304, 2539, 11, 358, 7846, 1431, 636, 1523, 389, 279, 220, 18, 11, 931, 14, 863, 508, 11, 11771, 22308, 304, 28116, 369, 539, 69002, 323, 20703, 10194, 323, 20806, 1521, 57535, 1440, 584, 3207, 4920, 1124, 627, 2675, 617, 311, 387, 27702, 311, 1440, 889, 1521, 7752, 527, 477, 1148, 814, 4070, 2884, 477, 311, 617, 459, 27513, 2785, 439, 311, 1148, 814, 2643, 656, 13, 5046, 1521, 11888, 3026, 889, 3952, 279, 2115, 12512, 57535, 45233, 304, 279, 2532, 315, 10494, 279, 62191, 529, 38678, 19942, 16388, 13989, 11, 2380, 1051, 11537, 304, 5936, 13, 14853, 810, 527, 5737, 439, 961, 315, 264, 1920, 10825, 311, 1304, 1124, 11537, 304, 279, 5936, 82, 8469, 13, 1628, 304, 1990, 11, 499, 617, 7752, 1694, 7376, 439, 6041, 369, 279, 1561, 4356, 57535, 1606, 279, 5718, 1397, 11888, 7752, 1212, 369, 1475, 2466, 10966, 2128, 13, 7570, 304, 279, 2305, 315, 279, 17626, 22162, 11, 61417, 264, 15022, 5089, 430, 1404, 3814, 1306, 3814, 374, 264, 57697, 8815, 304, 3061, 41913, 627, 2028, 374, 1405, 358, 15612, 389, 279, 6964, 315, 68162, 323, 73082, 13, 1115, 374, 1405, 358, 33766, 3210, 29068, 86, 5049, 261, 922, 1268, 3958, 420, 2128, 5334, 420, 892, 315, 1060, 13, 1115, 374, 1405, 358, 1436, 656, 2085, 279, 31678, 430, 4395, 374, 2133, 3235, 4661, 7041, 439, 433, 1288, 369, 279, 1317, 4751, 11, 3665, 369, 264, 26310, 21830, 2555, 27609, 73572, 11, 264, 73779, 3245, 309, 1662, 343, 11, 18570, 775, 753, 73779, 889, 89, 1220, 323, 264, 3958, 13272, 662, 51898, 753, 13194, 13, 51898, 889, 4536, 1431, 13194, 374, 45350, 13, 578, 3938, 753, 539, 1457, 662, 1102, 2646, 574, 13, 88635, 389, 757, 369, 88342, 449, 68162, 323, 73082, 323, 3460, 315, 23132, 2555, 264, 2697, 2731, 1109, 856, 57535, 649, 3041, 757, 369, 856, 2536, 69092, 13, 11717, 57535, 8571, 0, 26257, 279, 88342, 311, 67765, 52186, 0, 88635, 389, 757, 439, 1664, 369, 7422, 4330, 2162, 8640, 71044, 19579, 832, 4295, 14890, 374, 17354, 539, 264, 49025, 61300, 311, 1268, 79349, 5208, 374, 76722, 369, 420, 7471, 13, 94192, 26251, 757, 264, 22199, 41380, 259, 11, 1053, 13835, 5380, 4516, 439, 539, 311, 42197, 4726, 1139, 27394, 11, 358, 4805, 3345, 449, 856, 7075, 4545, 315, 279, 11714, 11, 27104, 315, 264, 46229, 7086, 34362, 11, 902, 8994, 279, 43529, 11, 374, 38617, 1054, 43810, 648, 863, 320, 8846, 369, 4072, 648, 7215, 11, 358, 4510, 570, 34362, 4375, 304, 279, 1890, 5274, 439, 856, 7555, 11, 889, 27528, 603, 1403, 14741, 505, 279, 7309, 430, 574, 4332, 4315, 3892, 315, 1077, 17104, 1080, 63384, 13, 358, 4070, 2322, 34362, 389, 12387, 25975, 1093, 420, 832, 323, 568, 2744, 11141, 757, 7422, 430, 422, 358, 1047, 311, 5268, 264, 2128, 315, 57535, 7359, 520, 279, 97841, 279, 1648, 584, 1511, 311, 5268, 709, 11314, 369, 10034, 304, 279, 42715, 11, 358, 7070, 5268, 34362, 912, 3010, 1109, 2132, 311, 617, 389, 856, 3185, 13, 1283, 753, 1120, 1695, 520, 1694, 520, 264, 57535, 1847, 11, 379, 529, 33134, 30, 763, 6287, 11, 358, 15746, 304, 51517, 439, 34362, 60826, 3952, 10980, 264, 45383, 8571, 753, 1529, 1894, 11, 10264, 555, 10264, 11, 2646, 3131, 539, 35509, 279, 281, 6442, 4664, 288, 1022, 279, 12523, 19221, 439, 568, 9495, 1461, 709, 13, 578, 13444, 961, 374, 555, 279, 842, 315, 1475, 4376, 3502, 1251, 11, 34362, 33822, 912, 17162, 1109, 4330, 2860, 40721, 1139, 12637, 40386, 389, 813, 2271, 311, 617, 279, 1888, 892, 21739, 649, 617, 520, 356, 12583, 8771, 627, 7456, 3575, 369, 279, 6118, 6380, 20521, 2922, 10279, 34362, 389, 7159, 3814, 574, 1524, 813, 40798, 57535, 1122, 46096, 574, 4737, 264, 27242, 505, 67765, 323, 813, 86930, 398, 7200, 315, 80122, 388, 13, 1226, 4070, 20025, 1071, 24748, 994, 8223, 49641, 617, 1027, 15338, 323, 1403, 2162, 8640, 617, 1027, 63421, 13, 11481, 311, 10519, 264, 712, 1601, 788, 47811, 994, 12168, 323, 66758, 527, 24269, 304, 1579, 2269, 1924, 627, 36, 747, 753, 539, 439, 6380, 439, 568, 1436, 387, 13, 2290, 315, 603, 374, 439, 6380, 439, 584, 1436, 387, 13, 1102, 5334, 11201, 304, 279, 4948, 994, 36880, 339, 3727, 433, 220, 20, 12, 15, 13, 1102, 6697, 1438, 1139, 2539, 9994, 90271, 6522, 1022, 279, 11999, 994, 20832, 3727, 433, 220, 21, 12, 15, 13, 3296, 1457, 682, 584, 4070, 2751, 2163, 374, 279, 60629, 304, 279, 5657, 90821, 1268, 2785, 505, 279, 393, 2689, 5584, 20388, 331, 323, 264, 12330, 430, 28970, 2212, 279, 6800, 2752, 13, 37558, 753, 1524, 2771, 422, 433, 753, 2133, 304, 279, 1314, 5216, 13, 320, 4897, 358, 35595, 311, 80907, 3508, 279, 289, 62837, 3273, 87, 430, 374, 279, 12330, 1288, 70725, 66770, 477, 5663, 55388, 4583, 15151, 1268, 17693, 420, 1847, 1047, 2064, 404, 839, 1523, 279, 24659, 29275, 62339, 441, 4131, 389, 304, 279, 18172, 311, 85715, 264, 289, 17249, 5352, 11623, 89054, 1139, 279, 4848, 23831, 742, 13, 1283, 5334, 279, 1176, 1403, 23651, 719, 1243, 4819, 23291, 311, 29335, 97623, 323, 15387, 5034, 39972, 1557, 13, 69913, 5097, 264, 13471, 11, 1243, 1403, 20953, 13, 362, 36157, 304, 1057, 3857, 11, 653, 2715, 54873, 449, 1057, 2697, 1912, 11, 374, 23114, 709, 311, 1618, 320, 2465, 1450, 374, 1234, 856, 46175, 8, 449, 62191, 3318, 14921, 13, 358, 649, 1518, 813, 1486, 13, 2435, 3207, 709, 4848, 27578, 588, 323 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 31192, 10994, 12336, 320, 26509, 8, 505, 279, 7427, 49193, 279, 59136, 389, 5887, 220, 1682, 11, 220, 2366, 16, 520, 279, 42626, 731, 46631, 77, 39171, 5955, 304, 27286, 520, 279, 10292, 22260, 315, 279, 3278, 753, 682, 46716, 1620, 304, 32692, 70221, 39171, 2391, 279, 27286, 220, 2366, 15, 25944, 11871, 520, 279, 42626, 731, 46631, 77, 39171, 5955, 304, 27286, 627, 43, 290, 301, 426, 290, 402, 306, 554, 765, 27746, 765, 21171, 12041, 198, 2746, 279, 8706, 8815, 13176, 279, 3772, 1566, 1060, 574, 33018, 15493, 17265, 3600, 11, 420, 1060, 753, 653, 7922, 55867, 374, 48309, 704, 1148, 311, 1297, 389, 627, 791, 24408, 1990, 17265, 2835, 11, 66333, 4984, 11, 323, 13790, 12707, 11767, 311, 1063, 15234, 11709, 430, 690, 59217, 13723, 304, 459, 15098, 54916, 291, 18921, 627, 14305, 8815, 430, 682, 1521, 5220, 3663, 1389, 279, 1401, 3488, 1389, 374, 1148, 2262, 5900, 1405, 11, 889, 28727, 323, 3249, 12671, 51224, 8269, 7997, 2630, 11, 3772, 18738, 520, 8828, 2059, 291, 23663, 627, 791, 15840, 11429, 690, 13967, 15180, 279, 1648, 279, 586, 60606, 3772, 13, 2100, 3117, 11, 1455, 3772, 5220, 617, 61149, 17265, 2835, 439, 264, 23606, 311, 8776, 2343, 6007, 13, 1115, 374, 279, 2944, 3249, 779, 1690, 3956, 527, 7086, 449, 279, 21166, 1054, 7284, 863, 1389, 16795, 489, 11, 82910, 489, 555, 11655, 45670, 60003, 11, 39193, 489, 11, 5099, 627, 644, 279, 1317, 1629, 11, 904, 17265, 5452, 1436, 3719, 279, 2162, 369, 264, 3772, 2883, 753, 4553, 15840, 13, 578, 1054, 501, 4881, 863, 527, 16168, 4018, 1022, 13, 27290, 489, 649, 1120, 387, 27290, 11, 449, 4395, 27290, 706, 311, 3085, 627, 4071, 279, 1917, 374, 539, 1070, 3686, 13, 1628, 279, 3135, 527, 10671, 15098, 31715, 369, 13723, 439, 502, 7620, 527, 8040, 11951, 369, 17265, 3600, 323, 279, 1888, 315, 13790, 12707, 2103, 3250, 1431, 1501, 709, 304, 17265, 627, 791, 36612, 99810, 198, 2520, 86125, 12707, 4101, 11, 3772, 29509, 617, 14090, 1903, 279, 5597, 430, 17265, 3600, 690, 387, 279, 2162, 369, 4113, 15840, 315, 279, 8592, 4367, 13, 16795, 11, 7520, 612, 350, 753, 32780, 12950, 11, 58104, 753, 24426, 59378, 11, 323, 11655, 45670, 60003, 527, 682, 4560, 311, 28008, 9935, 6825, 430, 814, 649, 3139, 7953, 8776, 14994, 12707, 13, 2435, 1005, 502, 4295, 5039, 1093, 1054, 791, 89979, 22865, 9520, 1054, 44, 548, 315, 6460, 28931, 863, 323, 1054, 48799, 11046, 863, 439, 49160, 311, 9504, 31120, 13, 18591, 690, 13592, 505, 2532, 311, 2532, 11, 719, 682, 3682, 502, 15493, 3956, 527, 7982, 555, 11990, 315, 6444, 1475, 8502, 627, 644, 279, 1162, 315, 12631, 11, 1070, 374, 264, 4632, 14656, 2269, 9672, 62646, 1990, 279, 5370, 3600, 13, 16795, 2231, 279, 100223, 12631, 1054, 50, 11206, 863, 323, 1054, 50302, 936, 863, 389, 16795, 489, 439, 814, 1051, 6004, 520, 912, 5217, 2853, 13, 1789, 60763, 47477, 11, 5348, 89120, 11, 323, 432, 12874, 323, 279, 8155, 16537, 11, 279, 2883, 6773, 311, 636, 3932, 311, 8493, 459, 5217, 400, 220, 966, 311, 4365, 279, 9698, 1603, 5616, 40885, 311, 1124, 369, 1949, 40665, 13, 24426, 59378, 9277, 1054, 791, 32669, 21266, 25, 12517, 8184, 863, 389, 1202, 7318, 27087, 315, 1054, 10407, 81378, 863, 719, 1193, 6004, 1054, 37, 24, 863, 304, 44866, 13, 32780, 12950, 706, 6773, 311, 2231, 1202, 4553, 1160, 315, 220, 2366, 16, 12631, 6089, 389, 43978, 7639, 11, 719, 433, 690, 539, 656, 779, 369, 72097, 12631, 304, 220, 2366, 17, 627, 2520, 3754, 323, 10034, 11, 1455, 3772, 5220, 617, 8774, 872, 1455, 15525, 15840, 24121, 389, 8776, 14994, 12707, 13, 578, 1455, 15746, 10461, 892, 15840, 389, 20352, 11, 56915, 323, 27290, 374, 2103, 20037, 709, 304, 279, 14994, 13190, 13, 1115, 706, 5535, 29509, 311, 22118, 279, 24981, 719, 539, 3686, 22798, 22531, 304, 2343, 53392, 18974, 811, 323, 2567, 264, 7701, 34235, 2626, 13989, 430, 3727, 33151, 315, 11441, 1855, 1060, 627, 40476, 59378, 5097, 389, 279, 8815, 315, 50812, 15525, 15840, 1418, 49927, 279, 25944, 11871, 13, 10502, 332, 1924, 649, 5268, 311, 13195, 3974, 323, 12715, 4455, 389, 279, 24426, 33065, 13740, 11, 24426, 34585, 39810, 11, 24426, 7517, 18426, 34120, 369, 34585, 3804, 47461, 11, 24426, 3658, 34120, 11, 5250, 81378, 3658, 36332, 11, 323, 5250, 81378, 55182, 36332, 627, 791, 8205, 315, 11709, 706, 3549, 264, 17395, 26031, 439, 24426, 59378, 26737, 311, 22829, 5361, 9021, 520, 3131, 13, 578, 2883, 6787, 311, 7916, 5250, 81378, 41455, 11, 2708, 521, 2343, 53392, 56694, 889, 617, 7378, 311, 1060, 24725, 11307, 12992, 369, 12588, 5016, 2262, 11, 323, 10519, 11646, 6007, 13172, 7969, 555, 94383, 63595, 311, 14079, 3974, 15840, 627, 17818, 753, 279, 9721, 859, 753, 55867, 304, 1957, 2476, 1071, 832, 21487, 12707, 6783, 13, 1054, 2675, 1440, 279, 13790, 6007, 1917, 374, 72618, 11, 719, 499, 3207, 4560, 311, 4822, 389, 279, 89862, 369, 439, 1317, 439, 3284, 13, 2468, 279, 1890, 892, 11, 499, 3207, 6376, 709, 279, 2324, 95458, 11, 902, 527, 7528, 323, 17265, 49216, 4516, 430, 279, 5219, 990, 198, 72765, 6944, 311, 3663, 264, 3682, 2626, 55867, 449, 1054, 36339, 13120, 21424, 863, 439, 4216, 439, 1828, 1060, 13, 763, 5587, 11, 279, 2883, 27528, 279, 3268, 311, 4365, 279, 7447, 4771, 1455, 2695, 35344, 14994, 4101, 389, 27290, 489, 439, 961, 315, 1202, 502, 6007, 3268, 9306, 449, 279, 5165, 21424, 9130, 13, 2030, 16795, 323, 27290, 9167, 1431, 1071, 4205, 922, 994, 1070, 690, 3604, 387, 7159, 13120, 21424, 389, 27290, 489, 627, 87232, 374, 555, 3117, 279, 1455, 11646, 4009, 304, 14994, 12707, 13, 1102, 4036, 420, 10292, 1606, 433, 574, 279, 1193, 1648, 9053, 1436, 3821, 7159, 13120, 21424, 323, 1023, 5526, 36027, 4455, 13, 1442, 16795, 12302, 7366, 8767, 14079, 15840, 505, 27290, 311, 27290, 489, 11, 2343, 53392, 56694, 690, 4585, 1203, 3938, 61361, 12992, 323, 11990, 315, 13723, 690, 387, 2728, 2500, 2944, 311, 9495, 1523, 14994, 12707, 627, 791, 7033, 3727, 420, 22702, 5107, 13, 28757, 6287, 220, 1032, 339, 11, 16795, 690, 6900, 400, 220, 21, 13, 1484, 824, 2305, 369, 27290, 489, 2768, 264, 3293, 3430, 5376, 13, 2030, 16795, 3727, 810, 1109, 400, 220, 24, 264, 2305, 824, 14994, 33215, 369, 27290, 304, 2343, 53392, 8141, 12718, 11, 4184, 311, 735, 18851, 11, 279, 3772, 3495, 13096, 315, 328, 43945, 8121, 13, 3277, 11093, 449, 279, 1023, 27290, 14488, 11, 16795, 13740, 323, 19921, 11, 16795, 3727, 810, 1109, 400, 220, 845, 264, 2305, 627, 644, 1023, 4339, 11, 369, 1475, 6130, 889, 63409, 2053, 14994, 11, 16795, 33291, 810, 1109, 400, 220, 845, 264, 2305, 13, 1102, 753, 2133, 311, 617, 311, 1212, 23468, 810, 369, 1202, 17265, 3956, 311, 1464, 1524, 11, 323, 430, 753, 539, 1524, 279, 13172, 4814, 5938, 449, 1202, 13790, 15840, 430, 71143, 3933, 7528, 2835, 1008, 13254, 627, 2118, 57813, 374, 10032, 311, 6859, 279, 13790, 26031, 1606, 433, 3727, 779, 1790, 3300, 2476, 1071, 7997, 2630, 13, 1054, 4516, 814, 682, 8335, 18646, 20160, 12032, 449, 3938, 22538, 430, 527, 1949, 8515, 6530, 8389, 311, 1501, 9935, 6825, 430, 814, 527, 4560, 627, 2097, 15840, 11429, 198, 40476, 59378, 323, 32780, 12950, 7376, 420, 2305, 430, 814, 690, 387, 24009, 11758, 315, 502, 8420, 311, 7417, 872, 17265, 3754, 3600, 627, 65002, 1109, 5042, 27444, 1113, 56915, 11, 73359, 11, 323, 20352, 7620, 389, 5250, 81378, 323, 43978, 7639, 11, 3772, 5220, 527, 48810, 264, 2204, 8446, 13, 20352, 374, 4857, 264, 15493, 3754, 2532, 11, 20352, 489, 13, 13929, 87339, 11, 20352, 753, 10388, 7528, 9640, 11, 1071, 568, 6787, 311, 18467, 220, 10617, 1274, 311, 2274, 323, 12192, 502, 4101, 323, 502, 2445, 12019, 13, 24426, 59378, 5513, 5856, 21892, 356, 33340, 1221, 451, 7376, 6787, 311, 18467, 7154, 220, 1049, 502, 8420, 369, 813, 3754, 16097, 11, 1455, 315, 8884, 690, 1862, 24426, 5513, 4800, 11, 279, 2883, 753, 43772, 17265, 4009, 627, 791, 5597, 311, 1893, 8821, 7620, 369, 17265, 11, 1063, 315, 902, 1253, 23329, 279, 2262, 315, 1148, 374, 2736, 1694, 13195, 389, 13790, 12707, 11, 649, 387, 19894, 304, 2204, 5627, 627, 4054, 1436, 37679, 2740, 1518, 433, 439, 264, 12571, 315, 5070, 11, 10409, 449, 37673, 32737, 11, 439, 264, 1054, 29699, 304, 892, 863, 5597, 311, 2567, 279, 18525, 1968, 304, 279, 14994, 13190, 11, 902, 1253, 912, 5129, 3073, 304, 1403, 477, 2380, 1667, 627, 11458, 11, 24426, 5513, 29509, 2019, 279, 9341, 45799, 430, 17265, 30994, 527, 539, 279, 1890, 439, 13790, 22511, 13, 1115, 1288, 3063, 311, 15840, 11709, 430, 15641, 430, 7528, 22511, 8541, 311, 387, 14992, 323, 810, 17226, 627, 15085, 3207, 15320, 7422, 922, 1268, 584, 649, 30536, 1057, 30104, 369, 1855, 8141, 5452, 2476, 1071, 43084, 29710, 92710, 11, 4872, 315, 24426, 5513, 13, 1054, 4438, 656, 584, 16988, 420, 502, 10877, 30, 18156, 279, 11503, 3063, 311, 2204, 12580, 389, 279, 4264, 11, 311, 2204, 20414, 311, 48929, 11, 311, 264, 2204, 13356, 389, 279, 1917, 49216, 2181, 753, 25420, 422, 1070, 3604, 374, 459, 10877, 369, 264, 17265, 15744, 3754, 4009, 1389, 5423, 832, 430, 10405, 13723, 264, 15438, 15493, 11307, 11, 1093, 20352, 489, 11, 902, 4316, 6256, 304, 220, 2366, 17, 13, 578, 4623, 315, 15840, 264, 14992, 10877, 374, 15562, 439, 264, 2835, 1984, 13, 64560, 11, 3508, 17265, 477, 8776, 12707, 11, 1253, 5042, 539, 387, 19411, 311, 1884, 1234, 279, 4325, 315, 220, 914, 13, 578, 5597, 311, 2793, 810, 304, 17265, 3754, 1436, 1121, 304, 264, 53722, 18174, 304, 22538, 304, 13195, 477, 14994, 54248, 439, 8244, 30466, 30000, 627, 32978, 9084, 408, 11, 24426, 5513, 529, 10388, 7528, 9640, 11, 1071, 568, 574, 16913, 430, 4726, 22538, 304, 24426, 5513, 4800, 690, 2343, 1022, 439, 568, 706, 2736, 3970, 279, 892, 29091, 304, 279, 6484, 2027, 11, 902, 11887, 304, 220, 679, 24, 13, 24426, 5513, 4800, 374, 1949, 311, 13723, 323, 374, 13172, 88213, 627, 15085, 3207, 17235, 12304, 311, 1518, 279, 11990, 315, 4207, 30994, 8493, 389, 24426, 5513, 23214, 323, 1268, 814, 690, 3139, 449, 1057, 22538, 2476, 1071, 9084, 408, 13, 1054, 2028, 892, 7543, 11, 902, 389, 1063, 15771, 374, 810, 1109, 459, 6596, 824, 4034, 510, 4908, 13674, 1145, 374, 264, 2867, 21070, 430, 584, 527, 37154, 1057, 30994, 389, 1690, 15771, 11, 1855, 449, 872, 1866, 38462, 84889, 13, 1054, 198, 92165, 25, 24426, 59378, 374, 279, 2748, 2883, 315, 73359, 627, 65592, 25, 58104, 12432, 17520, 31248, 389, 13254, 323, 17265, 2626 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 50, 53228, 386, 1953, 68195, 59580, 42909, 1929, 7157, 11, 16327, 2001, 33634, 889, 2795, 433, 596, 279, 11879, 430, 13146, 1455, 5828, 956, 4560, 311, 21546, 1555, 279, 282, 3963, 300, 315, 386, 580, 35994, 11, 856, 7195, 1486, 369, 16327, 596, 32380, 8924, 4563, 2852, 11, 477, 64916, 16377, 11, 220, 1135, 8931, 10411, 627, 16179, 386, 580, 35994, 706, 264, 17444, 369, 9977, 11, 279, 1972, 6023, 10222, 994, 856, 24229, 1047, 757, 2543, 8800, 362, 88295, 4900, 68, 47042, 13, 58801, 11, 358, 574, 13176, 2380, 34125, 315, 9629, 14836, 6089, 9017, 757, 627, 31437, 656, 358, 656, 1457, 7673, 358, 4691, 856, 8427, 11, 11517, 11, 889, 73170, 20592, 11, 330, 10156, 2567, 2133, 10246, 8140, 70399, 19160, 574, 2678, 3403, 311, 37663, 8800, 279, 13260, 21971, 2001, 264, 45214, 430, 20025, 282, 28109, 279, 81131, 358, 4661, 74159, 13, 1628, 358, 26399, 304, 10043, 264, 1695, 4376, 43276, 449, 539, 264, 3254, 9048, 380, 5954, 10789, 13, 9934, 3815, 430, 304, 445, 885, 627, 2409, 30460, 26184, 6, 3293, 4034, 11, 902, 24465, 506, 30970, 519, 35851, 79362, 304, 279, 11990, 11, 323, 279, 14827, 4435, 11098, 323, 279, 19367, 33063, 11, 16327, 706, 1457, 658, 65, 13111, 1202, 1648, 8800, 279, 1917, 596, 28608, 4264, 627, 11458, 11, 11517, 323, 358, 1051, 11125, 41664, 484, 488, 323, 4384, 35909, 389, 1057, 1403, 29137, 8577, 627, 1966, 420, 3389, 6790, 1938, 11, 584, 1051, 19946, 311, 393, 788, 2649, 3067, 77813, 4748, 9008, 11, 264, 53185, 6301, 264, 1917, 3201, 505, 279, 559, 519, 88, 25861, 323, 13465, 6136, 811, 584, 1053, 1522, 389, 279, 1648, 311, 48790, 46991, 8924, 10357, 351, 417, 627, 2181, 574, 459, 653, 3163, 1285, 2380, 4207, 555, 279, 892, 584, 1903, 430, 1620, 2543, 369, 279, 11573, 13, 32862, 584, 1051, 274, 5772, 56562, 409, 83450, 1234, 264, 64071, 315, 12314, 6307, 11141, 627, 22244, 374, 279, 77813, 4748, 9008, 5021, 2001, 902, 584, 1511, 311, 836, 279, 6301, 1359, 1071, 26132, 31464, 7997, 71, 332, 11, 459, 16286, 43929, 13, 1283, 323, 813, 36083, 7555, 11, 23908, 88, 11, 9107, 279, 281, 788, 2649, 4330, 1667, 4227, 13, 330, 29755, 311, 1440, 279, 2254, 1274, 11, 889, 4036, 603, 449, 13513, 43632, 11, 706, 15972, 603, 264, 2294, 3568, 922, 7138, 1359, 23908, 88, 1071, 11, 330, 438, 1268, 311, 3063, 264, 4382, 2324, 2085, 279, 8631, 323, 927, 67776, 562, 315, 2466, 9919, 10246, 6219, 408, 4748, 9008, 11, 902, 671, 6256, 279, 7928, 2682, 29691, 21137, 304, 279, 3224, 11, 374, 2466, 389, 41329, 26, 16472, 279, 13238, 21988, 11, 57823, 287, 11, 17808, 24822, 323, 20852, 304, 12434, 7224, 627, 2028, 374, 17551, 15825, 16327, 11, 1694, 11, 439, 433, 374, 11, 810, 1109, 220, 16, 11, 931, 8931, 3201, 320, 64, 220, 17, 220, 16, 14, 17, 21925, 11213, 8, 505, 28059, 596, 682, 45427, 274, 43008, 19424, 13, 77813, 4748, 9008, 706, 98421, 389, 430, 47811, 11, 9523, 311, 1202, 296, 5412, 3686, 73898, 5687, 11, 37492, 315, 83665, 26246, 11, 4106, 15286, 82, 323, 2890, 1285, 37637, 24872, 555, 24392, 28160, 37608, 36105, 627, 29174, 77813, 4748, 9008, 374, 2678, 3403, 311, 2733, 32487, 13, 36944, 293, 58267, 4336, 527, 743, 23442, 264, 72779, 6307, 28954, 323, 8508, 35534, 82339, 11012, 26, 1455, 527, 1120, 264, 2478, 7504, 505, 279, 92866, 9722, 53324, 279, 18435, 627, 2520, 682, 279, 281, 788, 2649, 596, 97181, 11, 433, 596, 279, 13057, 506, 95519, 315, 19858, 18300, 3090, 430, 374, 279, 1925, 33464, 13, 3011, 596, 3249, 11517, 323, 358, 1051, 389, 279, 9462, 304, 892, 369, 279, 220, 20, 264, 749, 13, 64919, 389, 3116, 315, 279, 4330, 58302, 584, 7543, 1618, 13, 1115, 9899, 9087, 10461, 603, 369, 279, 97806, 20659, 73292, 96780, 20705, 95440, 430, 584, 13205, 369, 220, 22, 264, 749, 13, 389, 1057, 4948, 1938, 627, 2173, 3388, 11, 420, 374, 4987, 5270, 11, 779, 433, 574, 12401, 311, 220, 23, 297, 63510, 994, 584, 6137, 279, 4376, 43276, 4321, 1555, 279, 22095, 6953, 752, 3090, 311, 3449, 279, 503, 526, 2649, 11, 264, 15376, 11, 52139, 819, 23162, 15688, 5918, 369, 279, 8945, 17301, 627, 96129, 7835, 33015, 7673, 3573, 36064, 10619, 30, 4063, 6921, 11, 279, 503, 526, 1037, 8869, 11, 2663, 704, 439, 584, 25319, 8800, 279, 15688, 369, 279, 4330, 24401, 8577, 311, 279, 86559, 34239, 13, 1226, 1051, 9770, 311, 17631, 389, 1057, 94532, 9687, 43288, 11, 719, 584, 3287, 956, 1205, 5606, 311, 15025, 279, 2144, 430, 584, 1051, 85353, 1555, 459, 77630, 81188, 449, 6908, 13656, 315, 34557, 75818, 1448, 24992, 279, 99164, 627, 791, 97806, 20659, 3287, 956, 9616, 311, 279, 8681, 72087, 77036, 596, 11, 719, 1070, 374, 2555, 71246, 922, 24269, 304, 14268, 2867, 220, 6086, 38775, 3090, 389, 264, 3389, 6790, 6693, 627, 791, 11415, 315, 279, 8577, 6137, 449, 1057, 3794, 16075, 389, 264, 6366, 9462, 2308, 323, 8748, 369, 279, 43038, 311, 10205, 779, 279, 15688, 1436, 3810, 279, 350, 36409, 309, 359, 4317, 11188, 11, 2162, 311, 279, 51639, 369, 279, 3224, 596, 1455, 52356, 72491, 36041, 278, 11, 279, 893, 96780, 11, 477, 1069, 86400, 70566, 72, 439, 25958, 1650, 433, 13, 8876, 220, 1049, 21, 11, 279, 6826, 369, 279, 1050, 396, 17158, 315, 5250, 953, 288, 70566, 285, 2947, 21538, 437, 706, 1027, 67805, 25958, 323, 32753, 922, 279, 12939, 315, 11357, 287, 1521, 20566, 430, 1051, 7154, 80269, 311, 52609, 627, 1, 51899, 311, 593, 9135, 3573, 8161, 956, 5916, 0, 4063, 6921, 3309, 603, 439, 584, 10862, 279, 21813, 11, 719, 264, 2478, 4520, 3010, 11, 264, 893, 96780, 308, 9065, 839, 856, 4579, 1306, 33510, 1202, 18791, 716, 8800, 279, 15688, 13, 4314, 7752, 1253, 17988, 220, 16, 11, 1049, 16701, 11, 719, 814, 2351, 11919, 13, 26848, 1109, 16587, 3201, 505, 603, 11, 279, 1069, 86400, 70566, 285, 25735, 279, 15688, 439, 584, 92662, 3235, 279, 51296, 51515, 90059, 15140, 17469, 627, 4599, 584, 6052, 311, 279, 1825, 3090, 11, 279, 9581, 574, 5616, 6041, 311, 10205, 11, 719, 279, 220, 17, 21117, 78353, 574, 1120, 264, 38678, 71261, 311, 279, 810, 8915, 10474, 315, 1057, 8577, 2001, 24919, 8613, 299, 409, 48790, 38026, 389, 279, 32429, 1122, 13218, 315, 57355, 13279, 978, 627, 29755, 1070, 1047, 603, 38831, 4628, 1057, 28387, 259, 31458, 1203, 311, 386, 580, 35994, 2001, 420, 892, 11, 10043, 449, 279, 9629, 389, 362, 88295, 4900, 68, 47042, 323, 34168, 264, 832, 21925, 11213, 311, 49459, 11, 1405, 584, 1053, 1935, 264, 8415, 15924, 276, 311, 8613, 299, 409, 48790, 38026, 279, 1828, 1938, 627, 2746, 499, 1505, 6261, 304, 32429, 689, 596, 6864, 449, 264, 2478, 4207, 311, 13488, 11, 1120, 1833, 420, 2380, 29137, 15150, 25, 24587, 25704, 28676, 489, 6178, 593, 936, 409, 8215, 277, 3496, 489, 19984, 978, 40555, 566, 1832, 56347, 3067, 32429, 689, 13, 24587, 25704, 28676, 374, 279, 12818, 499, 3358, 4034, 323, 6212, 304, 26, 4647, 593, 936, 11, 279, 15481, 36974, 1903, 449, 34557, 14403, 11, 62444, 87290, 11, 56626, 323, 48351, 8811, 47820, 1955, 58573, 11, 374, 1148, 499, 3358, 8343, 26, 323, 279, 19984, 978, 40555, 566, 1832, 56347, 11, 264, 220, 1987, 44650, 26483, 375, 315, 61583, 11, 32629, 323, 2107, 4748, 9008, 45518, 11, 374, 279, 1455, 1156, 396, 484, 1113, 6596, 323, 279, 1888, 220, 1758, 312, 2852, 320, 9274, 400, 1114, 8, 499, 3358, 8493, 304, 16327, 627, 44623, 11, 439, 279, 8415, 15924, 276, 1903, 279, 220, 1691, 14, 17, 21925, 8577, 1555, 1652, 1195, 48754, 53183, 21160, 11, 358, 8774, 13758, 311, 5448, 315, 279, 4027, 61583, 323, 2107, 4748, 9008, 1645, 23576, 1900, 1203, 1517, 5772, 4028, 279, 6566, 627, 5159, 10742, 922, 264, 5944, 5117, 4068, 2001, 330, 2746, 1070, 527, 1524, 279, 259, 6729, 478, 315, 17301, 389, 279, 18435, 656, 539, 11, 358, 13454, 11, 656, 539, 1935, 279, 8415, 15924, 276, 1990, 49459, 323, 8613, 299, 409, 48790, 38026, 9135, 2001, 3287, 956, 3769, 553, 11, 323, 5246, 584, 1051, 274, 18148, 1555, 279, 7937, 24857, 9967, 13826, 354, 2740, 304, 279, 4156, 315, 279, 15688, 627, 791, 1176, 3245, 499, 5406, 389, 19163, 11, 10980, 505, 279, 35231, 2001, 4411, 299, 3445, 330, 28607, 1, 304, 43288, 2001, 374, 279, 28612, 315, 13587, 2308, 1849, 11, 279, 3941, 315, 18386, 11, 520, 3325, 369, 51597, 11, 1606, 1070, 527, 2478, 9515, 304, 8613, 299, 13, 1628, 422, 499, 3621, 311, 17782, 2391, 279, 1629, 5352, 311, 1561, 9941, 596, 32460, 11, 439, 584, 1550, 11, 499, 3358, 1518, 3249, 279, 2035, 374, 3967, 439, 4717, 8792, 627, 8140, 5915, 11, 4869, 11, 574, 311, 3136, 34948, 323, 97806, 20659, 13, 3011, 596, 3249, 584, 14896, 279, 8592, 281, 788, 2649, 389, 279, 13218, 13, 330, 3947, 596, 4349, 58934, 1359, 2493, 17152, 11, 889, 3782, 311, 6920, 279, 18381, 11, 1071, 11, 22364, 40872, 13, 3277, 358, 65657, 520, 813, 7558, 10168, 1057, 64028, 11, 358, 574, 51512, 4423, 775, 1053, 387, 17919, 279, 330, 20347, 1, 709, 279, 220, 1774, 38775, 18916, 1572, 11, 26351, 13006, 323, 279, 1620, 220, 9992, 7504, 304, 279, 220, 1954, 38775, 8798, 627, 4599, 386, 18405, 48838, 301, 7826, 28196, 44865, 603, 520, 279, 30048, 304, 1077, 6063, 38698, 1189, 291, 43288, 11, 358, 15393, 584, 1047, 9670, 709, 304, 459, 74544, 35148, 6063, 50852, 13, 578, 6325, 1051, 20441, 11, 323, 279, 6693, 16385, 323, 19692, 44611, 2001, 422, 430, 596, 1148, 499, 2351, 1139, 2001, 719, 10213, 584, 1047, 264, 68040, 14850, 505, 279, 682, 45427, 436, 4798, 3770, 627, 2181, 596, 264, 220, 605, 24401, 69983, 311, 279, 14458, 596, 1841, 1752, 8792, 73098, 11, 449, 1202, 6437, 323, 4251, 37683, 8993, 11, 25325, 323, 74671, 13, 1115, 11767, 311, 279, 1925, 11161, 11, 37776, 11, 449, 810, 15926, 11, 16283, 323, 20021, 311, 3780, 122179, 12699, 18791, 2269, 54789, 11, 14132, 279, 68172, 315, 5873, 13, 15379, 14239, 83978, 279, 36105, 11, 719, 433, 596, 539, 264, 3691, 648, 596, 9284, 11, 902, 1253, 387, 3249, 814, 36592, 2211, 575, 404, 258, 4752, 13, 4740, 1120, 832, 11, 499, 3358, 3009, 30598, 430, 7795, 374, 927, 99797, 323, 279, 37547, 374, 30823, 88, 627, 791, 14509, 9778, 27448, 82, 311, 9462, 6522, 311, 279, 3116, 1925, 35909, 7086, 11, 653, 3913, 7439, 13610, 11, 5629, 11, 10657, 11, 21530, 323, 36174, 13, 7648, 315, 279, 1957, 31288, 389, 17652, 27990, 11, 1405, 12387, 25325, 11, 40459, 16283, 323, 15926, 449, 3974, 4731, 13334, 1664, 8800, 279, 9462, 627, 2181, 596, 1101, 5015, 7315, 369, 279, 2646, 67897, 37604, 315, 40439, 64, 31717, 329, 3026, 323, 3278, 304, 872, 293, 5118, 2483, 7907, 282, 822, 29106, 3573, 37, 822, 29106, 7673, 7566, 11, 330, 67, 6430, 282, 9563, 99501, 10335, 346, 9008, 54448, 4336, 264, 2766, 11, 719, 433, 596, 520, 3489, 26017, 11, 279, 22807, 323, 11594, 478, 14841, 315, 9462, 11, 430, 2574, 19858, 1523, 2001, 3582, 358, 574, 15107, 311, 279, 22217, 315, 11573, 1990, 21530, 323, 36174, 11, 9523, 311, 1202, 97806, 20659, 7858, 1405, 358, 993, 1142, 459, 9249, 6437, 7795, 627, 2746, 499, 81413, 17162, 36083, 32753, 320, 71830, 9053, 26255, 1618, 705, 499, 649, 5249, 832, 315, 279, 1690, 15688, 3521, 76339, 311, 7695, 4317, 409, 2577, 3527, 4749, 449, 1202, 8931, 315, 66085, 35909, 11, 53103, 92822, 11, 12290, 33096, 288, 323, 51296, 299, 2396, 627, 8140, 220, 1774, 24401, 4732, 38865, 12203, 3935, 1047, 603, 94698, 331, 11880, 2403, 220, 23, 21117, 17301, 323, 18667, 264, 1344, 354, 6374, 449, 922, 220, 1041, 97806, 301, 388, 6563, 55786, 2753, 555, 35148, 7795, 1109, 555, 13179, 27474, 24770, 389, 19596, 3691, 92825, 627, 67196, 3582, 11, 584, 1051, 12504, 1022, 520, 29592, 906, 418, 99657, 3067, 4821, 969, 11573, 3221, 279, 15140, 430, 19487, 320, 438, 12886, 8, 264, 1790, 1652, 1195, 6149, 1203, 13, 578, 1193, 3245, 32161, 574, 892, 13, 3161, 1120, 264, 5743, 315, 4207, 311, 13488, 279, 13057, 50699, 315, 7019, 67, 727, 9462, 323, 78181, 33965, 1555, 279, 11422, 13952, 11, 1057, 4034, 574, 10213, 264, 50852, 67126, 627, 1687, 3463, 315, 10374, 279, 3814, 11, 719, 1243, 584, 1053, 617, 13942, 8613, 299, 596, 51223, 588, 43588, 2001, 477, 1561, 9941, 596, 32460 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 50, 10286, 72, 84485, 1543, 258, 869, 611, 48510, 13944, 198, 47, 13389, 25, 48510, 13944, 198, 46108, 25, 8096, 15028, 438, 17200, 198, 4674, 261, 25, 3279, 26224, 198, 7749, 11106, 25, 220, 2813, 25, 2131, 198, 18292, 75, 13944, 46940, 12483, 527, 2561, 1618, 627, 3246, 25712, 617, 1027, 6335, 398, 1323, 88473, 304, 1614, 8838, 10826, 38921, 97417, 35, 21136, 5222, 13, 11997, 1101, 5764, 5217, 12306, 14242, 505, 3974, 3769, 13127, 16040, 612, 423, 4195, 340, 40, 23289, 433, 596, 3284, 311, 13085, 1380, 25712, 315, 84485, 1543, 258, 869, 11936, 1694, 2884, 2731, 1109, 555, 48510, 13944, 719, 482, 1664, 11, 912, 11, 389, 22599, 11, 358, 1541, 956, 1781, 433, 374, 13, 358, 6227, 994, 358, 34793, 311, 264, 14975, 315, 813, 46940, 315, 264, 6710, 555, 49971, 385, 1389, 433, 574, 279, 1008, 351, 822, 315, 279, 507, 754, 68, 47784, 78, 323, 374, 389, 77709, 596, 13944, 520, 220, 2421, 2624, 1389, 539, 16632, 1268, 6366, 433, 574, 719, 1268, 32719, 34558, 13, 13944, 706, 1027, 4477, 1380, 25712, 369, 1455, 315, 813, 6822, 2324, 323, 420, 12764, 11, 420, 8352, 11, 57088, 555, 459, 90196, 9824, 51552, 449, 84485, 1543, 258, 869, 596, 4731, 706, 6197, 311, 420, 2624, 11, 1790, 315, 902, 574, 12715, 304, 5887, 220, 3753, 17, 323, 1176, 11136, 389, 17540, 13, 3011, 3769, 706, 1027, 57088, 555, 3116, 14242, 12715, 304, 14689, 304, 220, 2550, 16, 323, 555, 2380, 3974, 24601, 505, 264, 30613, 21497, 304, 220, 3753, 18, 13, 1666, 264, 1121, 1070, 527, 2380, 24601, 315, 459, 8196, 13944, 19214, 11, 763, 578, 60555, 13120, 11, 439, 1664, 439, 1403, 482, 1633, 2204, 1389, 24601, 315, 98403, 1082, 323, 18813, 1403, 1855, 315, 11208, 31685, 49807, 6572, 323, 57227, 82, 315, 12531, 627, 791, 3135, 527, 11622, 60166, 4633, 53862, 11, 1855, 264, 3169, 315, 5609, 2085, 4339, 11, 304, 902, 13944, 1047, 84485, 1543, 258, 869, 596, 1866, 3187, 311, 1833, 26, 279, 40550, 1380, 17890, 813, 1866, 11936, 423, 2852, 552, 323, 41578, 19807, 13, 13944, 706, 8272, 264, 44029, 44172, 11949, 1122, 11151, 613, 1543, 258, 869, 1122, 3388, 323, 1855, 5609, 374, 9061, 291, 304, 69435, 41463, 323, 11939, 13, 2100, 369, 3187, 832, 649, 50863, 279, 60234, 1285, 4225, 2635, 919, 315, 279, 2163, 1450, 304, 507, 24703, 521, 26236, 26139, 477, 279, 38626, 23788, 31514, 315, 2057, 279, 15394, 304, 902, 279, 62684, 11031, 311, 279, 22253, 323, 279, 1314, 584, 4798, 436, 11206, 3536, 315, 10799, 8046, 78223, 1522, 351, 2504, 927, 433, 13, 578, 11763, 11323, 20589, 315, 3234, 2876, 480, 46104, 8881, 279, 506, 22780, 367, 315, 279, 33894, 1389, 682, 22755, 527, 3984, 555, 279, 1648, 11, 304, 6498, 1389, 323, 13944, 12716, 704, 682, 279, 82341, 23965, 304, 264, 6376, 1778, 439, 578, 51108, 10901, 13, 1958, 2360, 13, 16, 11, 5439, 304, 220, 7529, 17, 13, 5414, 98403, 1082, 574, 264, 9568, 39392, 304, 279, 3010, 11, 220, 2550, 16, 14975, 11, 902, 11621, 311, 279, 24408, 11, 3582, 430, 6931, 3185, 1587, 5222, 264, 2697, 17401, 813, 23707, 26, 1070, 596, 1063, 33247, 1579, 2237, 108593, 6957, 304, 1486, 315, 2144, 13, 57227, 82, 315, 12531, 374, 459, 4216, 6376, 323, 433, 9248, 279, 65655, 9090, 315, 279, 33894, 323, 1202, 6376, 1389, 9615, 26742, 519, 11, 1825, 70395, 323, 69435, 449, 11510, 315, 6678, 323, 10571, 13, 5112, 1070, 596, 279, 24415, 36237, 648, 315, 53718, 1389, 439, 61299, 304, 13944, 596, 6206, 439, 264, 39788, 14546, 13, 2684, 596, 1101, 279, 18639, 39130, 73, 1711, 2410, 315, 328, 7924, 304, 12531, 1712, 11, 279, 14400, 93663, 315, 14013, 63666, 64643, 323, 279, 2697, 16630, 33894, 430, 13944, 3727, 315, 11208, 31685, 49807, 6572, 11, 2539, 315, 82341, 13444, 11, 35018, 325, 323, 12745, 13, 358, 10932, 279, 30613, 57227, 82, 315, 12531, 1389, 433, 596, 5128, 1790, 279, 1890, 24108, 439, 279, 220, 3753, 16, 14356, 14975, 719, 433, 596, 810, 14247, 323, 59774, 11, 304, 279, 1890, 1648, 430, 358, 10932, 279, 1890, 3974, 21497, 596, 2373, 315, 11208, 31685, 49807, 6572, 902, 706, 10284, 96569, 59570, 323, 264, 64062, 24108, 627, 2409, 264, 11383, 11190, 323, 19411, 74343, 505, 77709, 420, 374, 2500, 315, 872, 42762, 659, 5621, 3705, 2518, 13944, 19786, 13, 1442, 499, 1390, 311, 6205, 11, 10772, 311, 75073, 11208, 31685, 49807, 6572, 323, 1518, 422, 499, 1541, 956, 9502, 311, 13944, 596, 282, 2364, 81750, 627, 66091, 47400, 69, 11, 10948, 5000, 916, 11, 5186, 13, 220, 1049, 20, 198, 18292, 75, 13944, 320, 65, 13, 220, 7529, 20, 8, 706, 1027, 264, 48772, 68, 323, 1645, 5849, 668, 315, 33022, 84485, 1543, 258, 869, 369, 927, 71049, 1667, 11, 7314, 520, 4325, 4848, 13, 12220, 813, 5575, 2919, 11, 13944, 1047, 279, 6776, 311, 19780, 264, 23597, 304, 264, 5743, 315, 11936, 26, 1243, 11, 13944, 11299, 1234, 279, 13141, 315, 23880, 735, 21904, 9509, 11, 889, 1047, 10887, 1790, 315, 279, 5609, 69483, 61480, 449, 279, 40550, 520, 279, 27374, 13, 20636, 34793, 311, 84485, 1543, 258, 869, 24315, 27374, 1742, 369, 927, 1403, 11026, 323, 3515, 42101, 1202, 15105, 323, 20047, 11, 13944, 6773, 311, 1380, 3191, 30335, 315, 279, 11936, 11, 1790, 304, 279, 11827, 315, 44172, 11949, 11, 304, 279, 7474, 315, 220, 3753, 16, 13, 578, 30335, 7205, 31035, 10297, 311, 8096, 15028, 438, 17200, 26, 279, 270, 404, 46487, 11, 264, 6514, 315, 330, 5519, 2876, 480, 46104, 1359, 574, 24306, 3010, 304, 279, 13515, 323, 12514, 311, 93610, 5355, 20602, 67, 543, 627, 791, 1672, 17890, 24601, 315, 13944, 24315, 1866, 1380, 25712, 2457, 220, 3753, 17, 12, 2550, 16, 323, 1935, 304, 37278, 505, 1561, 4356, 4409, 26, 32917, 11, 14689, 26, 323, 30613, 13, 578, 98403, 1082, 21879, 1403, 22972, 11, 279, 1176, 304, 220, 3753, 17, 22128, 459, 1524, 27927, 6514, 323, 58367, 282, 2521, 77866, 1109, 279, 5403, 505, 220, 2550, 16, 13, 13944, 596, 330, 37, 4659, 82, 315, 12531, 1, 66801, 13544, 1093, 832, 315, 279, 810, 19738, 864, 75, 29246, 505, 1200, 355, 220, 1419, 13, 330, 644, 279, 60555, 13120, 1359, 10901, 13, 220, 19, 11, 2360, 13, 220, 18, 21879, 2380, 1672, 25712, 11, 14224, 264, 3169, 315, 24364, 24315, 8260, 21099, 369, 279, 13944, 1579, 16337, 304, 279, 62684, 927, 264, 659, 96324, 5844, 857, 3904, 11, 13696, 389, 264, 29759, 423, 13, 19292, 7000, 315, 279, 11936, 26318, 1220, 5115, 279, 13531, 323, 18249, 2740, 55861, 1917, 439, 330, 791, 51108, 1359, 10901, 13, 220, 1958, 11, 2360, 13, 220, 16, 11, 459, 469, 30893, 12401, 311, 36561, 13753, 1109, 311, 78084, 1026, 13, 1115, 7061, 69944, 279, 3389, 63137, 380, 31797, 1443, 372, 27782, 264, 11897, 369, 3515, 11784, 1461, 311, 279, 87163, 5849, 13444, 315, 330, 1271, 279, 15394, 1359, 10901, 13, 220, 1627, 11, 2360, 13, 220, 22, 11, 902, 4491, 13, 13944, 6372, 449, 1608, 4680, 289, 380, 31514, 13, 88061, 4731, 11, 24415, 5737, 11, 323, 264, 1579, 538, 5788, 682, 279, 1648, 627, 74067, 48506, 1030, 11, 12632, 15416, 6055, 11, 4723, 13, 220, 1049, 19, 198, 1271, 1884, 889, 1440, 323, 3021, 420, 77768, 11, 420, 2643, 1120, 387, 439, 3345, 311, 13939, 23070, 439, 499, 649, 636, 13, 84485, 1543, 258, 1885, 596, 11936, 369, 7899, 323, 27374, 482, 1063, 8254, 7437, 11, 46338, 80679, 36399, 11936, 304, 682, 482, 1051, 779, 32487, 311, 279, 40550, 596, 99892, 2324, 323, 1989, 11, 430, 568, 59477, 76978, 11936, 2391, 279, 26175, 1667, 315, 813, 61087, 505, 8524, 13, 330, 40, 574, 1193, 4848, 994, 358, 1176, 6755, 84485, 1543, 258, 1885, 2804, 1359, 41231, 13944, 11, 330, 438, 358, 18677, 813, 47679, 15870, 369, 279, 1828, 17510, 38502, 1667, 3156, 813, 4648, 304, 220, 6393, 18, 1210, 14998, 584, 2019, 279, 8690, 7491, 596, 20356, 323, 279, 32373, 323, 40075, 315, 813, 5603, 311, 279, 27374, 1051, 264, 1646, 279, 3995, 3778, 60166, 380, 610, 2270, 311, 66585, 30, 84485, 1543, 258, 1885, 5678, 2163, 719, 1403, 1380, 25712, 315, 813, 1866, 11936, 11, 330, 43, 321, 19807, 1, 323, 330, 35, 2852, 552, 1210, 13944, 1380, 17890, 61759, 3885, 11, 902, 6244, 264, 16595, 961, 315, 813, 1421, 16664, 304, 279, 220, 3753, 15, 596, 13, 11205, 15671, 1501, 279, 14604, 2134, 315, 1521, 11936, 25, 330, 46, 11, 24703, 521, 67675, 11070, 287, 1359, 330, 5519, 2876, 480, 46104, 1359, 330, 644, 279, 60555, 13120, 1359, 330, 37, 4659, 82, 315, 12531, 1359, 330, 65454, 82, 1359, 330, 34748, 63666, 64643, 1359, 330, 9241, 31685, 49807, 6572, 10246, 644, 264, 5609, 1093, 330, 791, 15013, 10951, 1359, 902, 46450, 2740, 9364, 279, 9966, 57311, 315, 20587, 11, 279, 5609, 6376, 323, 1202, 46940, 649, 387, 4382, 323, 77300, 11, 439, 387, 30322, 279, 3917, 13, 763, 264, 5609, 1093, 330, 50, 7924, 304, 12531, 1712, 1359, 389, 279, 1023, 1450, 11, 279, 21958, 527, 810, 6485, 11, 323, 279, 4731, 374, 8024, 11559, 810, 8147, 323, 834, 44750, 287, 25, 330, 89553, 358, 47842, 311, 279, 12835, 315, 279, 46385, 11, 611, 2057, 279, 3814, 287, 1604, 596, 25429, 7899, 611, 1666, 568, 67807, 704, 813, 4851, 304, 264, 5609, 11, 611, 13759, 3201, 1405, 279, 62471, 582, 12690, 52554, 0, 611, 19418, 311, 23070, 430, 279, 21847, 323, 93985, 611, 40070, 539, 10409, 449, 1778, 6784, 323, 46996, 25765, 791, 11325, 2068, 5764, 25631, 11028, 315, 1063, 315, 279, 11936, 11, 902, 374, 21745, 535, 369, 459, 10255, 889, 2646, 10666, 264, 4604, 109524, 3048, 315, 264, 6710, 505, 832, 1421, 2223, 311, 279, 1828, 13, 1789, 279, 61528, 5526, 330, 53, 3768, 1082, 1359, 369, 3187, 11, 279, 11700, 649, 9616, 279, 4062, 83014, 83580, 315, 13944, 596, 220, 2550, 16, 14975, 1903, 520, 813, 2162, 3221, 32917, 11, 311, 279, 5716, 15031, 4538, 269, 488, 323, 24364, 8149, 315, 813, 220, 3753, 17, 1561, 4356, 14975, 13, 5031, 2352, 287, 17276, 8096, 15028, 438, 17200, 323, 24490, 3279, 26224, 617, 2884, 264, 74212, 481, 2683, 44463, 38140, 1903, 304, 2380, 2204, 37278, 320, 1820, 4948, 264, 3974, 1421, 2223, 304, 30613, 304, 220, 3753, 18, 705, 6968, 279, 21455, 315, 264, 43790, 2068, 627, 12834, 48510, 13944, 374, 1457, 220, 2421, 1667, 2362, 11, 358, 656, 539, 1440, 1268, 1690, 810, 38140, 584, 1253, 1755, 505, 279, 39487, 315, 27077, 25126, 65555, 13, 578, 3118, 2068, 11, 1323, 88473, 304, 220, 1187, 15615, 5222, 11, 374, 439, 6366, 439, 4205, 584, 617, 6755, 505, 420, 2294, 10255, 11, 323, 1253, 1664, 8854, 439, 264, 44877, 35491, 311, 1461, 627, 1999, 1609, 19832, 11, 12044, 13, 220, 1049, 19, 198, 49, 613, 1543, 258, 869, 596, 11936, 369, 7899, 323, 27374, 1797, 4315, 813, 1455, 84211, 323, 6366, 62644, 13, 8876, 813, 2731, 22015, 27374, 864, 75, 29246, 57009, 3059, 62684, 505, 872, 1475, 97551, 11, 3249, 539, 10737, 279, 11936, 369, 13839, 27374, 323, 499, 3358, 617, 1148, 15055, 311, 459, 5217, 743, 315, 84485, 1543, 258, 869, 864, 75, 29246, 30, 3011, 596, 24559, 1148, 48510, 13944, 1550, 449, 220, 1032, 315, 1521, 43258, 13, 1283, 3250, 956, 16632, 33866, 279, 26480, 5238, 8800, 279, 4113, 27374, 5844, 857, 12843, 26, 4619, 11, 568, 282, 645, 17082, 704, 279, 30953, 304, 264, 1742, 1633, 1790, 304, 10494, 449, 279, 58367, 10062, 30748, 323, 15730, 16023, 292, 37390, 14595, 315, 84485, 1543, 258, 869, 596, 13839, 13939, 4477, 13, 1628, 19093, 11335, 48510, 13944, 1380, 25712, 2731, 1109, 48510, 13944, 13, 5659, 279, 1437, 380, 2785, 76057, 3536, 304, 330, 791, 15013, 10951, 1, 311, 279, 289, 380, 1285, 1317, 5238, 323, 20801, 5352, 91317, 315, 279, 11537, 330, 53, 3768, 1082, 498, 13944, 596, 653, 14782, 5647, 315, 1742, 323, 38631, 5933, 11, 26139, 15105, 3412, 701, 6666, 627, 2181, 596, 264, 16267, 311, 617, 1521, 220, 3753, 17, 38140, 11, 3131, 2561, 389, 279, 39424, 364, 7098, 668, 2440, 11, 1203, 304, 35855, 3235, 449, 220, 2550, 16, 1323, 2094, 315, 330, 644, 279, 60555, 13120, 1, 323, 330, 53, 3768, 1082, 498, 5636, 330, 5519, 2876, 480, 46104, 498, 902, 13944, 1380, 17890, 20193, 1306, 279, 39424, 364, 7098, 668, 16079, 13, 763, 5369, 11, 3974, 220, 3753, 18, 38140, 505, 30613, 315, 330, 644, 279 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2170, 279, 1917, 44154, 2001, 323, 439, 6980, 5222, 279, 17035, 2001, 279, 4113, 12434, 28568, 374, 5922, 17951, 5977, 627, 1383, 469, 41554, 5124, 301, 1729, 11, 22765, 7972, 10181, 198, 78850, 6675, 88409, 94144, 574, 9405, 389, 6250, 220, 975, 11, 220, 10967, 24, 13, 763, 813, 1938, 11, 568, 574, 264, 13509, 295, 4744, 1303, 11, 21977, 29899, 7169, 12084, 2001, 832, 315, 279, 1176, 12715, 7931, 311, 4933, 12434, 10742, 13, 2057, 1304, 1461, 18638, 369, 264, 502, 9659, 11, 682, 433, 5097, 374, 264, 21540, 7601, 315, 88409, 94144, 555, 279, 3995, 10182, 6076, 27269, 4028, 279, 24867, 13, 11205, 5219, 527, 7982, 11, 872, 3465, 374, 6908, 11, 323, 814, 527, 1457, 43676, 12884, 311, 5249, 1124, 13, 8595, 1095, 6699, 282, 3390, 994, 279, 3838, 44154, 30, 1952, 3297, 220, 1313, 11, 15042, 27859, 520, 279, 19326, 69653, 10506, 11, 578, 17671, 11, 323, 578, 25460, 34793, 323, 11887, 18230, 287, 31636, 4800, 11, 264, 2447, 311, 15253, 810, 10401, 315, 10182, 2349, 304, 279, 3772, 13, 8766, 77638, 388, 11, 279, 72005, 19114, 11, 14618, 704, 430, 505, 220, 679, 22, 311, 220, 679, 23, 11, 3682, 4009, 10401, 315, 10182, 4819, 11299, 220, 1774, 3346, 311, 264, 2860, 315, 264, 17983, 220, 10239, 4520, 13, 1628, 389, 3297, 220, 1419, 11, 449, 1077, 94350, 315, 1694, 7858, 10539, 11, 220, 845, 4771, 6418, 10182, 28941, 323, 16448, 6917, 480, 66798, 666, 359, 7881, 40522, 6267, 315, 4737, 389, 279, 10182, 2349, 8815, 25, 1054, 2181, 753, 22706, 753, 2683, 49216, 52522, 264, 18824, 1093, 88409, 94144, 1436, 387, 264, 16267, 788, 13051, 369, 279, 3995, 10182, 6076, 27269, 13, 1283, 706, 872, 1203, 13, 1283, 5602, 41416, 29569, 10182, 2349, 5108, 810, 1109, 220, 1049, 1667, 4227, 13, 4740, 682, 11, 568, 574, 279, 71674, 28568, 889, 13468, 11, 27470, 323, 30239, 3823, 51877, 2656, 12434, 5674, 304, 279, 4216, 220, 5245, 15, 82, 2391, 813, 1317, 11879, 315, 12624, 27501, 304, 20023, 5270, 13, 3011, 753, 994, 568, 63421, 279, 5528, 315, 37683, 2191, 323, 19201, 922, 10182, 2349, 9057, 555, 54317, 711, 97893, 323, 96157, 10745, 6136, 811, 13, 6984, 1243, 11, 568, 27313, 32720, 5352, 35231, 3422, 323, 279, 11682, 2884, 555, 16806, 61272, 13, 1283, 10555, 1268, 3131, 44611, 3090, 5070, 1051, 39928, 323, 70225, 29149, 4363, 14264, 95088, 13, 1283, 5602, 2574, 3885, 45536, 627, 2181, 574, 520, 11940, 61349, 304, 18671, 37003, 1405, 88409, 94144, 8040, 813, 4623, 430, 12966, 1051, 48291, 74055, 279, 10182, 13, 763, 813, 220, 10562, 19, 2363, 11, 1054, 35127, 96821, 315, 264, 43680, 311, 279, 11964, 3394, 95081, 78447, 315, 279, 1561, 98845, 2476, 568, 6267, 512, 51928, 36658, 527, 14763, 11, 439, 814, 527, 17277, 304, 5270, 555, 279, 7665, 6136, 388, 11, 449, 459, 23356, 4986, 61050, 11, 279, 42242, 527, 11622, 32720, 709, 11, 477, 3719, 2753, 44611, 13, 578, 28036, 315, 279, 36617, 9861, 9235, 2391, 264, 961, 315, 279, 1060, 11, 527, 16489, 1139, 98931, 11, 15716, 2294, 62555, 4498, 389, 279, 36394, 13, 578, 274, 1637, 323, 78343, 67503, 505, 279, 15998, 12, 6798, 389, 279, 11314, 315, 279, 24405, 11, 279, 21160, 16054, 304, 11422, 527, 912, 5129, 3242, 31035, 304, 872, 3388, 25, 323, 4619, 315, 14297, 49806, 287, 279, 2237, 315, 279, 36617, 555, 23053, 51791, 811, 11, 814, 18742, 654, 2391, 8987, 52902, 279, 11314, 315, 279, 35231, 11, 11984, 1523, 279, 20784, 17614, 11, 323, 1376, 1884, 11210, 92629, 811, 430, 23248, 349, 279, 3224, 49216, 39, 3635, 94144, 3782, 311, 2778, 369, 323, 58389, 279, 31426, 315, 7138, 13, 1283, 12570, 709, 369, 279, 9420, 323, 369, 3674, 12437, 13, 1226, 649, 4048, 505, 813, 25572, 369, 22556, 12659, 13, 88409, 94144, 574, 459, 12434, 28568, 1524, 1603, 279, 4339, 4676, 477, 72546, 1051, 78718, 320, 10828, 22, 323, 220, 9674, 20, 11, 15947, 4390, 32576, 433, 374, 32100, 430, 10585, 35054, 11, 22618, 6108, 11, 57193, 35821, 11, 1093, 279, 88288, 29098, 304, 279, 3723, 4273, 11, 279, 9634, 22073, 95079, 304, 279, 3723, 15422, 323, 279, 3728, 6150, 36478, 369, 31636, 11, 617, 4529, 3789, 304, 220, 679, 24, 11, 279, 1060, 315, 88409, 94144, 753, 220, 5154, 339, 15553, 389, 6250, 220, 975, 13, 18093, 11, 13739, 11, 38614, 11, 50829, 11, 47679, 11, 47674, 323, 279, 35952, 315, 264, 18273, 1054, 39, 3635, 94144, 18319, 527, 13847, 2001, 719, 539, 779, 1790, 1618, 304, 279, 3723, 4273, 11, 1405, 584, 7293, 5457, 79100, 323, 49804, 555, 5054, 7951, 645, 14295, 13, 763, 13168, 11, 279, 10182, 5594, 462, 10789, 2978, 6980, 20186, 10968, 13, 9062, 2046, 389, 674, 37, 1907, 954, 2520, 25184, 11, 814, 4321, 704, 315, 872, 8853, 311, 7631, 264, 3938, 13, 7089, 502, 5315, 617, 3940, 872, 1866, 7640, 13, 6295, 44895, 527, 13205, 369, 6250, 220, 508, 11, 1120, 264, 2478, 2919, 1306, 279, 80459, 369, 88409, 94144, 753, 15553, 527, 927, 627, 72326, 3371, 603, 430, 12966, 617, 1193, 220, 717, 1667, 2163, 311, 8108, 20748, 323, 4017, 3728, 24808, 311, 459, 5376, 315, 220, 16, 13, 20, 11877, 62447, 1603, 2574, 636, 2216, 44517, 13, 1628, 3495, 389, 279, 19019, 63185, 73119, 5039, 6029, 430, 832, 3610, 9606, 3663, 52609, 13, 578, 12434, 380, 6941, 2468, 2002, 35179, 1071, 2391, 264, 3293, 3723, 19687, 10182, 10017, 430, 584, 527, 13176, 279, 1054, 18391, 315, 1057, 86569, 323, 279, 52609, 315, 1790, 315, 279, 5933, 1917, 2029, 480, 66798, 666, 359, 7881, 1101, 3782, 7833, 311, 279, 1486, 13, 6385, 4068, 389, 3297, 220, 1187, 11, 279, 1938, 315, 279, 2132, 3728, 10182, 13471, 520, 220, 16, 11, 15666, 10687, 304, 220, 7699, 5961, 706, 1193, 3116, 4339, 25, 1054, 24055, 2191, 4375, 13, 2100, 1180, 49216, 39, 3635, 94144, 11105, 279, 5754, 539, 4529, 13, 1283, 574, 264, 28568, 889, 5602, 4395, 439, 83416, 13, 1283, 2663, 369, 1695, 3728, 69606, 5383, 323, 76879, 311, 279, 84834, 40761, 315, 5070, 13, 5414, 19530, 15058, 1431, 568, 31035, 13, 32862, 264, 78258, 79500, 6541, 33341, 2574, 3235, 389, 459, 31322, 27834, 25, 9017, 11191, 4500, 323, 92948, 439, 422, 1070, 1051, 912, 16986, 13, 2100, 1457, 433, 753, 8475, 311, 19635, 430, 2391, 279, 1176, 11026, 315, 279, 220, 777, 339, 9478, 11, 20643, 6675, 88409, 94144, 574, 279, 2132, 63498, 11495, 1732, 304, 279, 1917, 1306, 70527, 13, 578, 6603, 68071, 813, 990, 1051, 6625, 1888, 82, 25812, 627, 2170, 961, 315, 813, 31678, 4101, 323, 3010, 4330, 67868, 4322, 1082, 11, 1054, 55324, 8801, 25, 362, 39501, 315, 264, 28479, 7817, 315, 279, 29849, 2476, 568, 6688, 810, 1109, 220, 1399, 1949, 323, 35306, 13739, 311, 9214, 315, 1274, 505, 682, 23291, 315, 2324, 13, 36798, 323, 3697, 315, 279, 13348, 1429, 11, 3026, 323, 3278, 11, 3995, 323, 2362, 34793, 311, 1461, 11, 436, 2756, 13, 1283, 1550, 539, 3974, 304, 459, 70916, 21970, 13, 5810, 304, 279, 3723, 4273, 11, 15687, 1101, 7020, 1633, 1664, 889, 568, 574, 323, 1148, 568, 1550, 13, 2435, 7086, 872, 25861, 11, 31276, 11, 24405, 11, 36658, 11, 8853, 323, 27943, 1306, 1461, 13, 11450, 568, 374, 2103, 264, 2466, 3568, 11, 719, 539, 369, 279, 4689, 586, 13, 4800, 568, 374, 3967, 4661, 24121, 1193, 4315, 24687, 14584, 88409, 94144, 5493, 4028, 279, 24867, 13, 2684, 527, 3892, 4642, 14673, 25, 578, 20643, 6675, 88409, 94144, 800, 2130, 2234, 35025, 374, 832, 315, 1124, 13, 1102, 706, 220, 1682, 11, 931, 3697, 13, 2435, 527, 14248, 323, 31839, 505, 682, 49255, 304, 220, 6860, 5961, 627, 2127, 19310, 87771, 11, 88409, 94144, 1450, 2695, 5646, 9214, 315, 12197, 824, 1060, 323, 5918, 459, 16781, 15603, 4009, 449, 8024, 812, 2391, 813, 19569, 13, 1115, 29130, 9731, 3432, 11, 24872, 555, 279, 14683, 3772, 13, 1115, 8779, 304, 10494, 813, 44818, 449, 11355, 34644, 13989, 323, 2561, 389, 7528, 15771, 627, 644, 1077, 2363, 1054, 791, 99575, 311, 84524, 25, 20643, 6675, 88409, 94144, 323, 279, 1443, 14550, 315, 5270, 2476, 30928, 423, 395, 363, 72278, 11, 279, 12656, 393, 13, 323, 76479, 426, 13, 5929, 17054, 315, 6498, 520, 279, 3907, 315, 44564, 41798, 11, 10975, 264, 2697, 3446, 922, 3842, 426, 13, 46899, 11, 549, 815, 13, 12667, 315, 5111, 11, 323, 1268, 304, 220, 9741, 23, 568, 12263, 88409, 94144, 304, 20437, 311, 2343, 813, 43666, 13, 1556, 12178, 8352, 1047, 1027, 3288, 311, 279, 2362, 893, 13, 1102, 574, 264, 7060, 8176, 449, 11888, 14370, 9204, 682, 279, 88409, 94144, 2035, 5144, 304, 279, 549, 815, 13, 2684, 574, 1101, 264, 6661, 13, 1102, 1071, 512, 2118, 27247, 649, 584, 10894, 279, 3600, 499, 617, 23188, 539, 1193, 311, 603, 719, 311, 682, 279, 1917, 13, 578, 836, 315, 88409, 94144, 374, 539, 1193, 264, 14048, 3492, 6957, 1057, 38883, 3224, 11, 505, 279, 63263, 315, 279, 23179, 311, 279, 21160, 315, 279, 16867, 11, 719, 584, 617, 39377, 13520, 555, 1202, 1005, 304, 1690, 5596, 315, 1057, 18455, 1981, 49216, 10156, 439, 568, 8220, 5403, 420, 70240, 307, 73994, 11, 279, 3778, 8810, 574, 6982, 304, 13, 362, 2766, 315, 8941, 287, 1523, 574, 2631, 13, 1054, 40, 6562, 499, 311, 1440, 2476, 68329, 88409, 94144, 11, 1054, 9210, 358, 1097, 264, 15140, 922, 220, 8652, 8931, 1317, 26, 358, 617, 1690, 14121, 332, 5548, 11, 539, 1790, 45888, 11, 719, 358, 1097, 2539, 315, 7795, 49216, 9619, 315, 7795, 13, 2684, 527, 2103, 7795, 304, 27966, 753, 88409, 94144, 11188, 25, 71116, 7795, 13, 4314, 2919, 279, 3995, 7795, 527, 15042, 304, 44355, 4804, 323, 2231, 1139, 279, 4365, 555, 12966, 369, 279, 17069, 315, 279, 10775, 2269, 11218, 4029, 13, 7089, 10687, 7086, 88409, 94144, 690, 3663, 6129, 11774, 13, 763, 18671, 7188, 11, 369, 3187, 11, 3495, 323, 34104, 7978, 7168, 430, 3892, 10977, 304, 6366, 88409, 94144, 6406, 690, 387, 38593, 927, 555, 259, 3422, 389, 264, 7446, 8197, 13, 1115, 3158, 706, 279, 8592, 15635, 315, 9581, 11852, 10205, 389, 279, 16781, 549, 815, 13, 4410, 16377, 627, 29174, 389, 279, 36941, 374, 279, 4754, 369, 50453, 39500, 10160, 4907, 7224, 13, 578, 18671, 80944, 706, 1317, 1027, 27458, 439, 10728, 11, 1524, 71257, 304, 279, 549, 815, 2637, 719, 279, 2254, 3090, 8149, 574, 2288, 5655, 369, 10160, 66270, 45218, 13, 4800, 279, 5652, 14645, 315, 19596, 15771, 3085, 10105, 13, 1628, 88409, 94144, 9332, 1101, 706, 7188, 753, 1193, 5655, 55051, 2700, 10411, 315, 5960, 13175, 11, 902, 690, 387, 7718, 304, 8405, 279, 14054, 369, 33268, 4907, 5070, 627, 791, 1695, 3754, 374, 430, 14132, 584, 2736, 617, 17049, 14645, 11, 12823, 323, 279, 8198, 430, 649, 1520, 603, 311, 3665, 279, 11841, 505, 10671, 71113, 10796, 15729, 13, 1102, 690, 387, 5107, 323, 264, 1317, 2653, 36049, 13, 1611, 6260, 449, 279, 27531, 5064, 574, 4228, 7863, 311, 279, 47603, 311, 2586, 11, 323, 279, 45525, 527, 5190, 1109, 814, 617, 3596, 1027, 627, 39, 3635, 94144, 753, 64955, 220, 5245, 22, 1054, 85901, 389, 279, 84425, 315, 50298, 863, 574, 4756, 304, 264, 4686, 6498, 44658, 14807, 369, 279, 1176, 892, 304, 220, 1049, 24, 555, 279, 3907, 315, 10780, 8612, 13, 1666, 279, 21959, 753, 4096, 10975, 603, 11, 279, 2363, 14861, 1054, 24470, 810, 1109, 1202, 2316, 24897, 13, 4696, 510, 40, 60, 83, 11105, 279, 1176, 28664, 2987, 315, 459, 8936, 1413, 3451, 40657, 315, 279, 9578, 14639, 863, 72278, 6880, 433, 264, 990, 555, 1054, 414, 1176, 62938, 98636, 2029, 13266, 4560, 311, 1505, 264, 9025, 1054, 998, 279, 3938, 1288, 1212, 449, 420, 2363, 11, 88409, 94144, 753, 75703, 369, 279, 220, 1691, 267, 9478, 2029, 1666, 264, 88409, 94144, 8571, 11, 358, 7655, 627, 791, 220, 5245, 22, 9071, 374, 264, 8147, 5754, 2472, 15107, 555, 264, 1685, 12575, 98636, 11, 323, 433, 5039, 279, 3229, 753, 61876, 8830, 315, 279, 5933, 1917, 512, 40, 60, 83, 11105, 279, 1176, 28664, 2987, 315, 459, 8936, 1413, 3451, 40657, 315, 279, 9578, 14639, 863, 72278, 6880, 433, 264, 990, 555, 1054, 414, 1176, 62938, 98636, 2029, 13266, 4560, 311, 1505, 264, 9025, 1054, 998, 279, 3938, 1288, 1212, 449, 420, 2363, 11, 88409, 94144, 753, 75703, 369, 279, 220, 1691, 267, 9478, 2029, 1666, 264, 88409, 94144, 8571, 11, 358, 7655, 13, 578, 220 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2028, 3857, 6276, 499, 311, 1684, 682, 8158, 1903, 555, 420, 4562, 13, 7181, 430, 499, 649, 1193, 1518, 8158, 1903, 304, 5789, 499, 5131, 617, 2680, 311, 627, 46103, 482, 328, 680, 71, 17402, 198, 24633, 389, 25, 5587, 220, 2371, 11, 220, 679, 18, 11, 220, 2371, 25, 1987, 25, 1682, 5975, 125341, 10149, 1005, 3010, 304, 279, 3938, 198, 24633, 389, 25, 7552, 220, 914, 11, 220, 679, 18, 11, 220, 1721, 25, 2166, 25, 2790, 6912, 125341, 50, 6427, 433, 369, 220, 1774, 40727, 11, 3970, 279, 6412, 358, 1027, 8748, 369, 781, 78, 1786, 627, 36920, 3634, 25, 220, 605, 41949, 198, 24633, 389, 25, 6664, 220, 2371, 11, 220, 679, 17, 11, 220, 2437, 25, 1627, 25, 4370, 6912, 125341, 40, 2846, 3411, 369, 9601, 47595, 950, 16537, 11, 2417, 10209, 512, 22, 4725, 2700, 45385, 198, 16, 11625, 3634, 198, 1671, 28470, 328, 680, 71, 17402, 389, 50940, 35555, 689, 13892, 627, 24633, 389, 25, 5887, 220, 777, 11, 220, 679, 17, 11, 220, 2318, 25, 845, 25, 2304, 5975, 125341, 3844, 8635, 11, 574, 3201, 14, 2642, 74, 505, 18742, 35555, 689, 264, 1418, 779, 5675, 279, 6677, 315, 10345, 388, 5922, 28509, 340, 843, 3, 69121, 11, 5975, 757, 477, 5975, 328, 680, 71, 17402, 389, 1847, 627, 10149, 305, 351, 3491, 11911, 389, 3085, 627, 24633, 389, 25, 6664, 220, 1591, 11, 220, 679, 15, 11, 220, 2545, 25, 4331, 25, 3174, 5975, 125341, 50, 6427, 1521, 9861, 453, 2641, 2533, 358, 15890, 4902, 1790, 14926, 13, 1442, 499, 617, 904, 4860, 1120, 5975, 757, 627, 4444, 87, 301, 304, 11002, 8, 320, 12686, 505, 17262, 37183, 53876, 340, 1548, 596, 1523, 311, 220, 16, 2700, 1457, 719, 264, 2294, 832, 627, 5063, 99913, 64389, 25, 9601, 393, 8186, 24510, 16169, 12359, 982, 20906, 12748, 7586, 1643, 23950, 27899, 340, 25, 220, 1758, 3, 69121, 14, 1272, 41949, 477, 832, 315, 279, 10345, 388, 10212, 3485, 3924, 33, 198, 51001, 505, 13321, 27582, 96860, 11, 323, 3331, 315, 279, 19229, 13309, 8, 7229, 291, 198, 25, 220, 1272, 3, 68893, 14, 220, 1135, 41949, 31825, 198, 72219, 505, 70825, 822, 71, 11, 323, 279, 1888, 379, 773, 822, 71, 3786, 53311, 3751, 304, 279, 1847, 340, 25, 220, 508, 3, 393, 11079, 33, 198, 7, 3915, 39285, 613, 11, 323, 22022, 315, 279, 220, 1032, 339, 19037, 340, 7229, 291, 865, 220, 16, 1905, 512, 14615, 598, 459, 1097, 3035, 1122, 4560, 311, 387, 54048, 5255, 23655, 73287, 6266, 7229, 291, 198, 25, 220, 605, 3, 69121, 31825, 198, 7, 4054, 315, 279, 4802, 5885, 505, 16290, 7181, 15302, 13478, 535, 8, 7229, 291, 198, 25, 220, 868, 3, 69121, 14, 508, 41949, 31825, 198, 24633, 389, 25, 6664, 220, 972, 11, 220, 679, 15, 11, 220, 717, 25, 2437, 25, 1272, 5975, 125341, 50, 6427, 25, 9601, 16537, 320, 14394, 435, 85094, 25002, 340, 2000, 1120, 220, 5313, 3, 69121, 3001, 6440, 565, 61, 198, 39, 85996, 2288, 11, 14117, 627, 2822, 2417, 4276, 25694, 4205, 775, 719, 8515, 627, 8971, 477, 98074, 328, 680, 71, 17402, 6892, 373, 1193, 422, 8173, 627, 24633, 389, 25, 6287, 220, 2437, 11, 220, 679, 15, 11, 220, 2371, 25, 868, 25, 1419, 5975, 125341, 26833, 21605, 268, 25, 220, 914, 26101, 1671, 28470, 328, 680, 71, 17402, 477, 5975, 389, 1618, 198, 24633, 389, 25, 5936, 220, 1682, 11, 220, 679, 15, 11, 220, 2371, 25, 2437, 25, 508, 5975, 125341, 41, 1037, 74495, 11, 656, 499, 1514, 433, 30, 1102, 596, 264, 1633, 7155, 78285, 19945, 11637, 1847, 90957, 13, 51678, 5737, 433, 369, 4661, 220, 17, 1667, 1457, 13, 551, 18, 1277, 1129, 44490, 12211, 3836, 14957, 916, 6018, 3923, 596, 1695, 922, 433, 374, 430, 433, 596, 330, 10816, 1, 323, 499, 1541, 956, 617, 311, 2343, 311, 1514, 433, 11, 1193, 369, 3361, 3673, 7344, 13, 1628, 74285, 701, 54260, 11, 902, 374, 3196, 1022, 15369, 11, 323, 1778, 13, 3053, 1524, 29478, 14, 7082, 4433, 1866, 26159, 13, 1628, 1990, 433, 323, 50940, 35555, 689, 11, 18742, 35555, 689, 11, 439, 304, 824, 1764, 3673, 12365, 11, 45037, 374, 23917, 11, 27296, 6801, 6852, 57322, 527, 4790, 481, 3554, 332, 4725, 57322, 527, 16058, 6965, 11, 779, 499, 16869, 594, 616, 1884, 3131, 1701, 1124, 35047, 791, 282, 1003, 919, 1093, 31298, 263, 788, 320, 37521, 1529, 377, 11401, 8, 323, 1556, 276, 596, 320, 5902, 8954, 832, 328, 680, 71, 596, 304, 3770, 8, 649, 2134, 505, 220, 1041, 74, 12, 5894, 74, 320, 5894, 3, 8, 719, 814, 617, 29219, 7512, 311, 3041, 311, 701, 311, 263, 627, 7098, 5294, 374, 856, 1925, 389, 1070, 11, 323, 358, 3021, 1124, 11, 2533, 814, 649, 28645, 10099, 1093, 64579, 16675, 7596, 17146, 33214, 17146, 52214, 16675, 620, 449, 2204, 2704, 14718, 22223, 11, 3235, 449, 11012, 430, 11384, 24708, 11628, 321, 768, 14, 4368, 56956, 16675, 273, 291, 323, 68247, 430, 1587, 279, 1890, 439, 19837, 11, 1193, 3254, 18996, 497, 28509, 198, 22739, 328, 32209, 10532, 358, 1903, 315, 279, 75400, 340, 33, 4601, 6207, 25, 1795, 1129, 82, 680, 26233, 582, 2315, 22247, 5485, 472, 916, 69080, 18236, 80, 28, 51015, 5, 3255, 28, 1187, 70567, 67, 18, 12791, 15, 3306, 198, 24633, 389, 25, 5587, 220, 2437, 11, 220, 679, 15, 11, 220, 2304, 25, 1806, 25, 1272, 5975, 125341, 2460, 358, 649, 2019, 374, 420, 34490, 27207, 757, 520, 1176, 994, 358, 1176, 6755, 922, 433, 11, 2646, 7020, 459, 38413, 1436, 656, 420, 1790, 7958, 11, 358, 3152, 856, 1176, 4623, 374, 1975, 333, 433, 574, 420, 8147, 11, 1268, 2586, 279, 4459, 1917, 3287, 956, 2733, 433, 11, 44491, 757, 369, 539, 14392, 1790, 922, 66579, 11, 719, 22371, 78928, 9, 51210, 220, 679, 17, 5804, 437, 520, 990, 1457, 28509, 1131, 5736, 3923, 596, 701, 11555, 389, 433, 5380, 3112, 4587, 11, 2567, 279, 4617, 49150, 627, 24633, 389, 25, 5936, 220, 806, 11, 220, 1049, 24, 11, 220, 2839, 25, 717, 25, 3174, 5975, 125341, 697, 44182, 2533, 279, 5818, 374, 704, 1457, 323, 279, 1566, 892, 358, 8621, 2288, 5246, 865, 35, 198, 3923, 596, 701, 18463, 311, 279, 16537, 4047, 38321, 14270, 30, 3234, 499, 1781, 433, 53312, 11, 477, 656, 499, 1781, 433, 3604, 1047, 1063, 4754, 315, 1694, 264, 1695, 5818, 5380, 24633, 389, 25, 6664, 220, 1591, 11, 220, 1049, 23, 11, 220, 2839, 25, 508, 25, 2437, 5975, 125341, 56, 3178, 24551, 25, 39405, 5768, 369, 50940, 35555, 689, 25907, 13, 358, 6216, 1077, 856, 2324, 9943, 87, 369, 220, 1041, 41949, 323, 1047, 311, 3868, 369, 264, 2478, 2919, 369, 1077, 358, 920, 311, 387, 11007, 311, 18742, 35555, 689, 311, 3780, 757, 279, 15096, 88, 6412, 320, 14789, 43308, 489, 2305, 43308, 5099, 570, 2100, 358, 6688, 1077, 856, 9943, 87, 2103, 11, 220, 20, 2919, 3010, 358, 1421, 2270, 856, 1023, 8323, 449, 912, 3575, 11, 1364, 596, 264, 10437, 1732, 323, 9396, 449, 3794, 856, 1023, 8323, 2884, 4999, 9370, 64, 25, 15668, 7095, 1285, 1732, 0, 1283, 1081, 1854, 291, 757, 369, 220, 806, 20946, 323, 358, 6688, 1461, 264, 11729, 292, 632, 11, 23468, 1461, 220, 2031, 40727, 369, 1124, 682, 13, 358, 3288, 1124, 682, 311, 1461, 311, 1005, 10478, 813, 3300, 3782, 304, 11, 3952, 1093, 264, 2305, 719, 358, 574, 8893, 13, 1283, 3288, 279, 40727, 7833, 311, 757, 439, 5246, 439, 568, 2751, 813, 1817, 520, 279, 842, 315, 279, 2305, 4999, 49436, 655, 398, 25, 41896, 291, 757, 2324, 490, 285, 369, 11941, 287, 1124, 311, 1077, 11, 3952, 1063, 892, 719, 30401, 574, 2884, 0, 3005, 9076, 757, 459, 4902, 320, 56902, 882, 84, 8, 389, 856, 4934, 1160, 477, 279, 220, 1135, 40727, 11, 358, 13061, 279, 4902, 16762, 882, 84, 315, 3388, 779, 1364, 2343, 291, 757, 1203, 0, 54695, 3507, 39, 5091, 8721, 54, 37041, 56, 0, 72290, 198, 57, 306, 5721, 437, 25, 16782, 8748, 369, 813, 320, 868, 40727, 8, 2800, 8323, 369, 264, 6290, 1081, 1854, 13, 13596, 40893, 1606, 315, 3515, 311, 2389, 318, 81, 813, 358, 920, 311, 50940, 35555, 689, 311, 3780, 279, 40727, 198, 4126, 25, 1283, 25338, 4006, 50456, 56, 7318, 757, 279, 2800, 315, 279, 220, 868, 40727, 568, 49009, 757, 13, 15148, 1022, 304, 24047, 35047, 33, 1823, 20546, 25, 78262, 279, 453, 2641, 1226, 68, 370, 2689, 323, 468, 29789, 1022, 1461, 2225, 369, 220, 18, 40727, 13, 1283, 574, 48566, 323, 11919, 449, 279, 8323, 323, 6688, 757, 279, 453, 2641, 439, 5246, 439, 358, 7318, 627, 30635, 882, 33954, 354, 5797, 25, 7839, 323, 7095, 1285, 1274, 11, 31207, 1077, 856, 9601, 735, 29163, 369, 872, 9601, 23503, 323, 1398, 79863, 735, 29163, 627, 42, 750, 25, 55182, 757, 2324, 597, 29163, 311, 656, 1077, 97549, 13, 7839, 4333, 627, 18544, 64359, 25, 24805, 264, 6555, 6696, 449, 1077, 11, 31207, 856, 220, 18, 6634, 2324, 26161, 369, 1077, 220, 1135, 40727, 323, 2324, 342, 894, 29069, 627, 44, 2818, 40, 12598, 22342, 56, 25, 78262, 264, 6954, 1037, 2700, 505, 757, 11, 6696, 4024, 1633, 1664, 551, 1644, 198, 44, 664, 6780, 1273, 72, 25, 1183, 14589, 21849, 53703, 323, 12908, 505, 1077, 11, 1364, 596, 48174, 74436, 2288, 627, 57, 318, 25, 53792, 1503, 264, 3634, 505, 757, 11, 5782, 35013, 11, 1364, 596, 68514, 57042, 4999, 41, 686, 84, 25, 78262, 856, 2324, 597, 3328, 505, 11, 1364, 574, 1633, 8893, 323, 1524, 3582, 1063, 32174, 7077, 505, 13312, 950, 4819, 11, 433, 2103, 4024, 220, 1041, 4, 1664, 627, 67211, 36742, 7923, 370, 6181, 25, 28239, 2324, 735, 29163, 323, 28894, 263, 311, 1077, 369, 220, 4364, 3, 4619, 315, 40727, 311, 3780, 2324, 41784, 7197, 11, 69121, 2751, 34546, 11155, 1364, 31207, 757, 1077, 9601, 41784, 7197, 323, 356, 14795, 311, 1304, 433, 709, 13, 350, 1831, 29555, 374, 490, 100120, 43629, 13, 7429, 11021, 264, 9601, 7205, 906, 8255, 505, 1077, 369, 1989, 11, 1364, 6688, 433, 311, 757, 1306, 264, 2478, 1069, 1238, 439, 19487, 627, 18544, 64359, 25, 28239, 264, 2700, 311, 1077, 11, 4619, 315, 3794, 8323, 505, 1077, 1176, 1364, 30315, 369, 757, 311, 3708, 279, 2700, 1176, 13, 25545, 8323, 1306, 11, 6555, 311, 990, 449, 551, 18, 627, 24633, 389, 25, 6664, 220, 1721, 11, 220, 1049, 23, 11, 220, 2839, 25, 2589, 25, 1114, 5975, 125341, 2170, 279, 279, 2316, 2795, 627, 3269, 483, 374, 49109, 11, 2744, 340, 24633, 389, 25, 6250, 220, 1032, 11, 220, 1049, 23, 11, 220, 1721, 25, 975, 25, 2371, 6912, 125341, 87030, 426, 34783, 18396, 449, 4885, 13, 358, 1781, 27016, 3370, 25241, 264, 2763, 323, 18943, 805, 596, 8951, 617, 13241, 11, 2103, 3021, 1701, 1461, 264, 2763, 2288, 627, 3923, 3752, 29076, 499, 279, 1455, 5380, 24633, 389, 25, 6287, 220, 1419, 11, 220, 1049, 23, 11, 220, 2705, 25, 1135, 25, 1135, 5975, 125341, 23274, 369, 39371, 706, 63758, 2521, 13, 358, 4934, 311, 3780, 433, 11, 477, 422, 539, 11, 3041, 3630, 389, 422, 433, 596, 369, 6412, 477, 539, 627, 54, 7719, 311, 636, 433, 311, 2489, 856, 4902, 42041, 627, 24633, 389, 25, 5651, 220, 2839, 11, 220, 1049, 23, 11, 220, 1721, 25, 1774, 25, 1758, 5975, 125341, 40, 5895, 11, 3686, 358, 1193, 636, 5370, 11503, 13, 33634, 1440, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 77746, 1789, 33955, 9935, 574, 4756, 389, 3297, 220, 717, 11, 220, 679, 22, 520, 220, 717, 25, 1691, 9012, 13, 1102, 374, 23700, 520, 279, 33955, 5699, 13, 29485, 1789, 33955, 9935, 374, 38213, 449, 29485, 1789, 33955, 9935, 11, 29485, 11, 1789, 11, 33955, 11, 9935, 35047, 77746, 15959, 6806, 5081, 320, 79, 1609, 39615, 331, 99638, 81, 705, 25342, 71722, 308, 2637, 348, 2637, 482, 83, 3149, 11, 482, 66467, 6806, 287, 627, 12, 264, 9302, 13340, 315, 264, 1732, 11, 1665, 11, 477, 6237, 11, 439, 264, 19354, 11, 13633, 11, 10512, 11, 5099, 18976, 358, 6920, 264, 6945, 315, 856, 6800, 3124, 304, 856, 15435, 627, 12, 904, 9621, 2217, 11, 4869, 9124, 25, 9364, 27000, 304, 264, 7463, 315, 3090, 627, 12, 264, 10723, 2217, 25, 264, 2867, 6945, 315, 1268, 568, 1047, 7111, 430, 1938, 627, 12, 264, 4040, 2217, 477, 8903, 439, 45877, 304, 459, 2759, 477, 4096, 280, 12, 264, 57234, 11, 439, 304, 66333, 13340, 627, 12, 3580, 11633, 6945, 627, 12, 9364, 11, 31701, 278, 320, 2061, 1005, 570, 9698, 627, 12, 264, 1732, 11, 3245, 11, 1912, 11, 477, 6237, 27458, 439, 71707, 264, 990, 315, 72829, 22676, 1989, 304, 13444, 11, 1913, 24639, 315, 11341, 11, 5099, 18976, 3005, 574, 264, 6945, 304, 1077, 502, 6437, 8679, 627, 12, 279, 2217, 477, 4832, 93874, 315, 4423, 775, 25, 1283, 374, 279, 6945, 315, 813, 7126, 627, 12, 264, 9621, 477, 14509, 49497, 315, 1063, 4367, 477, 3044, 25, 279, 6945, 315, 2890, 627, 12, 264, 6671, 477, 743, 315, 13463, 25, 279, 7100, 6945, 627, 12, 279, 2217, 389, 264, 6500, 8891, 11, 279, 20705, 4264, 315, 264, 12707, 743, 11, 477, 264, 11633, 80758, 4264, 627, 12, 311, 4097, 304, 264, 6945, 477, 72829, 22676, 398, 11, 439, 555, 19354, 477, 13633, 627, 12, 311, 1376, 264, 10723, 6945, 315, 280, 318, 24281, 25, 1283, 7846, 956, 6945, 5678, 3815, 1778, 264, 3245, 627, 12, 311, 43504, 304, 4339, 280, 12612, 4876, 2740, 25, 1283, 42666, 22463, 779, 43120, 398, 430, 499, 4376, 91305, 32077, 499, 1051, 1070, 627, 12, 311, 3118, 477, 1893, 439, 264, 6376, 280, 403, 11872, 25, 5414, 2363, 42666, 279, 1917, 315, 279, 3938, 627, 2520, 2000, 320, 69, 9769, 81, 26, 65890, 14715, 282, 99638, 81, 705, 25342, 71722, 22033, 627, 12, 449, 279, 1665, 477, 7580, 315, 25, 311, 1629, 369, 10368, 627, 12, 10825, 311, 9352, 311, 11, 477, 387, 1511, 304, 3717, 449, 25, 7241, 369, 279, 13695, 26, 264, 33044, 369, 26863, 627, 12, 924, 5977, 279, 10096, 477, 3966, 315, 25, 16088, 369, 279, 20330, 627, 12, 304, 2015, 311, 6994, 11, 8895, 11, 477, 21953, 25, 264, 7937, 369, 453, 65556, 26, 311, 990, 369, 23998, 627, 12, 320, 2656, 311, 3237, 264, 6562, 11, 439, 315, 2555, 311, 387, 10534, 477, 12457, 1680, 507, 11, 369, 264, 9439, 7172, 4999, 12, 16614, 477, 27078, 311, 25, 459, 8071, 369, 13444, 627, 12, 951, 404, 788, 315, 25, 264, 79422, 369, 2555, 26, 264, 12945, 369, 27555, 15447, 627, 12, 304, 18361, 477, 8323, 315, 280, 258, 471, 369, 25, 2380, 369, 264, 18160, 26, 311, 387, 57595, 369, 832, 596, 9045, 627, 12, 8475, 477, 30464, 311, 25, 264, 3917, 369, 33422, 26, 15447, 369, 12688, 627, 12, 449, 5363, 477, 5201, 311, 25, 17770, 369, 892, 26, 2288, 8369, 369, 5936, 627, 12, 2391, 279, 16513, 685, 315, 25, 369, 264, 1317, 892, 627, 12, 304, 4799, 315, 280, 263, 279, 3185, 315, 25, 311, 387, 369, 10978, 3109, 627, 12, 304, 2035, 315, 280, 65937, 315, 25, 264, 28779, 369, 14432, 627, 12, 304, 279, 2802, 315, 280, 263, 17981, 315, 25, 311, 1180, 369, 264, 3016, 627, 12, 304, 9473, 369, 280, 300, 459, 4445, 311, 25, 12523, 369, 12523, 26, 3300, 369, 11822, 627, 12, 304, 25060, 315, 25, 8323, 369, 279, 9977, 627, 12, 304, 16044, 315, 25, 311, 3041, 264, 14177, 369, 264, 1732, 627, 12, 449, 279, 7580, 315, 19261, 25, 311, 1212, 369, 7295, 627, 12, 6044, 6844, 311, 25, 369, 279, 9610, 315, 16470, 627, 12, 304, 2015, 311, 3665, 25, 311, 28500, 369, 832, 596, 2324, 627, 12, 304, 2015, 311, 3719, 25, 311, 5542, 56197, 369, 15201, 627, 12, 304, 16720, 477, 63124, 311, 25, 459, 18101, 369, 279, 13658, 26, 3011, 596, 369, 499, 311, 10491, 627, 12, 1778, 439, 311, 2187, 315, 477, 311, 1397, 25, 2288, 1690, 369, 8821, 6420, 627, 12, 1778, 439, 3135, 304, 25, 813, 2944, 369, 2133, 627, 12, 439, 28987, 279, 12034, 477, 13463, 315, 25, 3958, 369, 832, 596, 2890, 627, 12, 304, 21801, 477, 449, 5905, 311, 25, 1283, 374, 16615, 369, 813, 4325, 627, 12, 304, 279, 3752, 315, 280, 300, 1694, 25, 311, 1440, 264, 3245, 369, 264, 2144, 627, 12, 555, 2944, 315, 280, 28753, 315, 25, 311, 42223, 369, 16267, 26, 264, 3363, 61403, 369, 1202, 13444, 627, 12, 304, 34781, 315, 25, 1283, 596, 264, 15326, 7564, 369, 682, 430, 627, 12, 311, 279, 13112, 477, 3392, 315, 25, 311, 4321, 369, 264, 14929, 627, 12, 320, 2656, 311, 19678, 264, 3917, 304, 459, 82226, 535, 17571, 1680, 1102, 596, 892, 369, 757, 311, 733, 627, 12, 320, 2656, 311, 13519, 279, 1396, 315, 48188, 704, 315, 264, 5300, 1396, 315, 13865, 1680, 578, 8919, 574, 220, 17, 369, 220, 19, 304, 279, 1847, 627, 12, 369, 433, 11, 3580, 304, 320, 755, 13, 220, 1691, 4390, 12, 9298, 430, 280, 16061, 3039, 2788, 6806, 3039, 320, 2788, 39615, 299, 136, 227, 78, 136, 227, 76, 39615, 11, 482, 81, 129, 237, 129, 237, 76, 39615, 705, 25342, 71722, 308, 627, 12, 264, 3130, 24330, 323, 1511, 369, 21811, 627, 12, 11920, 14918, 449, 3021, 22747, 477, 1877, 25, 578, 5818, 374, 264, 14595, 14150, 23160, 627, 12, 27681, 42292, 280, 309, 20857, 25, 14150, 6548, 627, 12, 70598, 14090, 555, 82821, 25, 264, 14150, 4029, 627, 33697, 16836, 320, 86, 9769, 75, 705, 25342, 71722, 308, 627, 12, 904, 315, 5370, 15690, 49685, 96939, 3515, 264, 3160, 1790, 7191, 1109, 279, 26839, 323, 32644, 264, 19815, 7479, 3734, 1405, 89513, 555, 14365, 11, 11276, 11, 5099, 18976, 1511, 369, 23756, 11, 9313, 11, 477, 12625, 11, 477, 311, 1207, 60494, 15135, 3634, 11, 311, 1862, 27035, 11, 77395, 11, 477, 279, 1093, 11, 311, 14389, 9578, 11, 311, 25675, 304, 459, 3158, 11, 5099, 627, 12, 34067, 11, 14620, 13, 264, 23091, 472, 9408, 369, 16399, 10096, 627, 12, 459, 4998, 2229, 477, 528, 61186, 22881, 11, 61051, 11, 5099, 2637, 23377, 264, 7147, 25, 264, 7147, 315, 48786, 627, 12, 264, 7147, 12970, 11, 86028, 961, 11, 3245, 11, 3148, 11, 5099, 18976, 264, 7147, 315, 4027, 26, 264, 7147, 315, 17312, 627, 12, 459, 8126, 1201, 479, 311, 5471, 39262, 11, 439, 264, 56589, 68, 477, 9581, 7147, 627, 12, 279, 9935, 13, 3580, 20437, 9935, 627, 12, 279, 16335, 3646, 4632, 477, 6324, 315, 24693, 3769, 22973, 11, 14932, 11, 323, 27409, 279, 7106, 13693, 315, 459, 1665, 25, 279, 7147, 315, 264, 6680, 2849, 627, 12, 279, 3185, 315, 264, 2237, 477, 34738, 627, 12, 279, 927, 71, 8764, 477, 16940, 3185, 315, 264, 54344, 280, 64, 21363, 7147, 477, 4579, 16836, 627, 12, 26438, 279, 14620, 477, 26438, 14620, 11, 311, 3719, 43787, 477, 89706, 25, 30608, 279, 14620, 449, 90926, 627, 12, 6678, 477, 4585, 311, 279, 7147, 11, 311, 5457, 1139, 264, 28495, 6671, 280, 28400, 35950, 477, 38339, 6724, 25, 2876, 2262, 449, 16632, 11230, 279, 2489, 11, 814, 1511, 1475, 6776, 311, 4585, 279, 38279, 2128, 311, 279, 7147, 627, 12, 733, 927, 279, 7147, 11, 311, 1464, 704, 315, 9527, 25, 9728, 22692, 617, 1027, 743, 709, 304, 459, 5149, 311, 12602, 3892, 5804, 31095, 889, 4024, 927, 279, 7147, 627, 12, 733, 311, 279, 7147, 512, 12, 311, 387, 24164, 304, 264, 12324, 477, 10937, 280, 12, 311, 3775, 304, 2626, 11, 16948, 13, 311, 3719, 29320, 627, 12, 311, 387, 2231, 16038, 477, 25565, 627, 12, 311, 1935, 459, 14560, 323, 11075, 2361, 477, 6767, 25, 358, 4265, 733, 311, 279, 7147, 311, 3009, 1461, 505, 24509, 287, 627, 12, 4295, 279, 7147, 11, 320, 1073, 1317, 74908, 39380, 8, 311, 5662, 264, 1486, 304, 264, 7102, 11, 6118, 1306, 220, 508, 8931, 11, 994, 279, 2547, 596, 40373, 527, 21907, 79266, 323, 690, 13477, 9221, 16996, 311, 387, 3025, 311, 6381, 627, 12, 1022, 279, 7147, 512, 12, 7953, 279, 22651, 315, 4287, 2968, 477, 2944, 370, 77319, 25, 578, 7216, 499, 24116, 369, 3815, 279, 990, 374, 1022, 279, 7147, 627, 12, 88101, 704, 315, 279, 19664, 280, 65, 30582, 25, 4427, 315, 279, 15447, 304, 279, 11401, 1501, 1051, 2288, 1022, 279, 7147, 369, 279, 5578, 6130, 627, 12, 709, 2403, 279, 7147, 512, 12, 9277, 2403, 264, 7147, 311, 387, 16070, 555, 264, 23677, 19037, 627, 12, 304, 264, 16996, 477, 9200, 2361, 11, 16948, 13, 832, 304, 902, 18506, 477, 8060, 5084, 51551, 25, 11115, 6763, 7417, 1828, 2305, 11, 279, 2883, 690, 387, 709, 2403, 279, 7147, 627, 12, 709, 279, 7147, 11, 1139, 459, 1645, 98466, 89706, 11, 33630, 11, 477, 84971, 1614, 25, 578, 6926, 24408, 304, 279, 5274, 374, 10043, 5127, 709, 279, 7147, 627, 12, 315, 477, 47031, 311, 264, 7147, 25, 7147, 3634, 627, 12, 7982, 2403, 477, 389, 264, 7147, 25, 7147, 11012, 26, 7147, 272, 676, 627, 12, 31183, 11, 9277, 11, 477, 10487, 304, 477, 389, 264, 7147, 25, 7147, 24276, 26, 264, 7147, 6220, 627, 12, 311, 3289, 1497, 11, 9495, 1022, 11, 22497, 11, 6144, 11, 3973, 11, 5099, 2637, 449, 477, 439, 422, 449, 264, 7147, 320, 61917, 9630, 13, 555, 304, 477, 1022, 1680, 311, 7147, 279, 20085, 26, 311, 7147, 304, 279, 1514, 3158, 26, 1283, 374, 289, 4841, 304, 555, 6996, 315, 6776, 627, 12, 311, 26418, 477, 5266, 320, 64, 70458, 477, 1023, 8736, 8, 449, 264, 7147, 25, 311, 7147, 459, 20604, 20396, 627, 12, 311, 26418, 477, 1218, 2925, 320, 34431, 477, 4423, 8, 2949, 264, 7147, 320, 44066, 9630, 13, 555, 709, 1680, 578, 990, 5794, 1047, 289, 4841, 709, 279, 8415, 5115, 555, 16930, 627, 77746, 1789, 33955, 9935, 617, 220, 21, 34779, 1174, 814, 527, 33955, 9935, 1952, 26106, 765, 5277, 28069, 11, 9935, 28069, 811, 1628, 96004, 9935, 11, 2893, 16782, 8377, 11, 76212, 380, 47963, 5277, 11, 33955, 8377, 11, 2893, 16782, 63486, 38673, 9935, 11, 33955, 9935, 1952, 26106, 765, 5277, 28069, 11, 9935, 28069, 811, 1628, 96004, 9935, 11, 15394, 24138, 1435, 22919, 33955, 9935, 800, 5327, 9935, 5277, 90898, 3234, 2876, 28704, 9225, 11, 5492, 7127, 287, 11, 9601, 2209, 2876, 2206, 40412, 9935, 3799, 278, 482, 10919, 9935, 3799, 278, 482, 33955, 9935, 3799, 278, 482, 89957, 1697, 9935, 3799, 278, 13, 21883, 527, 279, 9364, 512, 77746, 1789, 33955, 9935, 17482, 1093, 264, 5933, 3813, 430, 690, 3041, 264, 20441, 4676, 323, 58930, 11, 3582, 539, 459, 7718, 961, 315, 264, 2162, 19433, 315, 279, 6246, 374, 1101, 2294, 994, 6646, 505, 701, 13189, 315, 39890, 11, 719, 1023, 1109, 430, 279, 42715, 1101, 706, 264, 990, 439, 264, 5873, 46552, 11951, 311, 7916, 279, 1427, 279, 3838, 5196, 11, 439, 1664, 439, 304, 3878, 315, 279, 22165, 315, 279, 6246, 2643, 387, 35328, 304, 279, 1203, 315, 279, 3838, 11, 16662, 279, 3838, 477, 13176, 279, 3838, 11, 38913, 433, 5992, 1633, 5107, 369, 279, 2132, 311, 1977, 264, 6246, 389, 279, 66419, 315, 1057, 7347, 4363, 6656, 4315, 279, 5199, 8125, 3249, 1274, 527, 46878, 311, 1893, 264, 20085, 304, 279, 2162, 1124, 11, 994, 304, 8903, 1690, 20414, 477, 2671, 430, 7931, 272, 4988, 311, 617, 2212, 433, 11, 369, 433, 574, 389, 420, 13402, 584, 3077, 10235, 1063, 15174, 369, 60299, 449, 13987, 18455, 311, 279, 4156, 13863, 315, 701, 2162, 627, 644, 69027, 279, 42715, 596, 3158, 374, 15792, 2068, 11, 584, 1288, 2980, 3892, 2574, 6041, 505, 279, 5873, 315, 11012, 11, 3634, 505, 1855, 1605, 779, 430, 8051, 279, 6246, 374, 13987, 719, 38913, 24415, 323, 2294, 304, 23318, 11, 810, 29485, 1789, 33955, 9935, 1253, 584, 23846, 1778, 10631, 3770 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 9642, 11, 12625, 11, 602, 9901, 499, 649, 8935, 4311, 311, 264, 11626, 12109, 887, 9477, 323, 1690, 1101, 6209, 13, 1472, 279, 29292, 5415, 11, 12109, 1972, 2136, 13, 8797, 37300, 2930, 27631, 12109, 16087, 2930, 34471, 389, 1587, 264, 2867, 701, 16946, 11, 7344, 1304, 43177, 13, 2650, 3062, 1486, 11, 584, 22519, 13520, 304, 279, 603, 34471, 323, 49939, 315, 2523, 11, 719, 1455, 4774, 13, 35802, 505, 34881, 684, 12109, 9633, 12933, 11, 499, 649, 1505, 1023, 13548, 11306, 25, 38668, 25, 578, 45434, 10357, 398, 11, 9671, 7159, 11, 323, 3885, 11, 12109, 1972, 2136, 13, 9843, 264, 2851, 25501, 279, 41165, 1391, 3585, 2237, 11, 872, 2759, 374, 9651, 33624, 323, 814, 649, 1212, 22128, 279, 33321, 323, 21845, 315, 279, 1828, 2237, 22571, 11, 12109, 1972, 2136, 13, 1666, 4311, 3351, 709, 814, 690, 4774, 279, 58286, 323, 279, 36169, 6514, 13, 3277, 499, 1212, 1022, 389, 47764, 499, 690, 636, 220, 1041, 4, 12306, 389, 279, 1176, 7782, 315, 20746, 1475, 6740, 709, 311, 400, 1041, 627, 57299, 12591, 76, 12109, 12306, 2082, 198, 66173, 8736, 6710, 11, 1405, 584, 636, 311, 7936, 323, 527, 29066, 2476, 305, 1409, 11497, 11, 1603, 409, 8461, 3779, 11, 1054, 275, 596, 264, 837, 24657, 6023, 1972, 2136, 13, 7252, 16211, 3217, 0, 1888, 2930, 34471, 220, 2366, 15, 489, 1949, 45858, 34815, 2930, 12109, 1888, 34815, 2930, 25725, 6732, 304, 220, 2366, 15, 1160, 315, 13, 220, 2366, 15, 9787, 3674, 8198, 13, 45546, 323, 13654, 29746, 279, 36935, 315, 813, 47679, 520, 279, 11837, 278, 352, 23542, 22541, 323, 12109, 1555, 279, 842, 315, 279, 1060, 13, 328, 36238, 4168, 4513, 19, 12109, 1972, 2136, 9787, 33241, 1030, 39339, 220, 2366, 16, 9787, 39339, 1121, 3432, 6693, 13, 37717, 264, 1934, 389, 279, 5178, 315, 279, 12109, 1972, 2136, 5613, 596, 33215, 23862, 11, 5578, 6325, 11, 2307, 6369, 13254, 11, 323, 7318, 13172, 2262, 13, 21115, 220, 22, 6800, 9787, 357, 1181, 645, 97230, 12699, 34471, 13, 2001, 1475, 2835, 602, 8298, 374, 6689, 304, 264, 1972, 12109, 0, 420, 374, 1972, 1514, 11, 1701, 1972, 3300, 323, 3515, 1972, 5326, 13, 358, 37106, 311, 1501, 279, 26792, 279, 13, 220, 18, 12109, 1972, 2136, 289, 14, 21231, 70, 4168, 4513, 19, 0, 1093, 279, 2835, 30, 57949, 433, 709, 0, 3021, 279, 2835, 30, 5387, 264, 4068, 0, 649, 956, 636, 3403, 315, 433, 30, 1243, 18447, 12340, 12491, 433, 30, 3371, 701, 13, 578, 9689, 374, 2949, 11689, 6138, 315, 279, 12109, 323, 21977, 13, 21115, 3814, 8679, 2082, 9787, 2930, 12109, 520, 9787, 21231, 70, 4168, 4513, 19, 12109, 1972, 2136, 9787, 88698, 5426, 28099, 12109, 9787, 12109, 912, 16946, 13, 220, 21, 109540, 115057, 2001, 11552, 13015, 323, 10195, 293, 47154, 7808, 274, 1136, 1764, 2064, 277, 1662, 389, 274, 7115, 4691, 21716, 4872, 436, 1494, 360, 342, 438, 6151, 311, 10519, 10799, 372, 304, 813, 44440, 7557, 2771, 311, 1817, 279, 56443, 287, 323, 26243, 8670, 1603, 49878, 287, 1521, 33321, 11, 74315, 389, 1584, 12109, 3217, 505, 279, 19451, 315, 459, 5150, 1732, 11, 12109, 1972, 2136, 13, 9671, 10180, 53448, 11406, 11871, 13, 8681, 3754, 369, 3974, 12109, 4311, 482, 1070, 596, 264, 14964, 56395, 315, 3974, 24204, 3953, 2561, 505, 15193, 38321, 31562, 13, 11406, 3953, 1778, 439, 15695, 53453, 80604, 11, 426, 4575, 47957, 328, 19901, 11, 8753, 80604, 11, 36169, 80604, 11, 9156, 80604, 11, 16537, 36845, 323, 34944, 80604, 527, 1120, 1063, 315, 279, 3974, 24204, 3953, 499, 649, 4774, 220, 1187, 14, 22, 13, 20776, 29298, 709, 311, 220, 16, 11, 931, 2637, 1297, 12591, 76, 12109, 12306, 2082, 13, 50599, 25, 78150, 5977, 612, 3161, 81949, 13, 4343, 12109, 1972, 2136, 28277, 13443, 323, 1972, 7394, 33215, 1797, 13, 34039, 7446, 5613, 13443, 11, 24608, 11, 33215, 7180, 13, 8267, 12109, 59318, 9787, 21231, 70, 4168, 4513, 19, 12109, 1972, 2136, 9787, 9012, 66, 101632, 102450, 100391, 120922, 100276, 100400, 65804, 48909, 35470, 100303, 100349, 106332, 101592, 69258, 35470, 220, 605, 13, 21115, 1972, 2136, 449, 21231, 70, 4168, 482, 3432, 482, 9417, 220, 6281, 3974, 9633, 5780, 1514, 323, 13280, 323, 33321, 389, 25, 11689, 5710, 220, 17, 5021, 315, 12205, 69428, 35684, 293, 1291, 71372, 389, 13, 220, 20, 109540, 115057, 2001, 9909, 25623, 5252, 73539, 22541, 612, 12109, 2613, 2686, 26, 47794, 12109, 3953, 26, 1405, 374, 69428, 49341, 12109, 26, 21231, 70, 4168, 4513, 19, 12109, 1972, 2136, 13, 37717, 264, 1934, 389, 279, 5178, 315, 279, 12109, 1972, 2136, 5613, 596, 33215, 23862, 11, 5578, 6325, 11, 2307, 6369, 13254, 11, 323, 7318, 13172, 2262, 13, 220, 21, 109540, 115057, 2001, 1624, 6151, 304, 279, 4216, 6693, 32126, 8987, 53958, 24895, 555, 37943, 83109, 11, 6522, 311, 3090, 26330, 28987, 5275, 24553, 7351, 304, 13, 220, 605, 31123, 1949, 912, 16946, 12109, 15012, 9787, 1888, 49211, 8446, 3776, 323, 2579, 9787, 4106, 15300, 9633, 1847, 9787, 21231, 70, 4168, 4513, 19, 12109, 1972, 2136, 13, 2001, 12109, 1972, 2136, 5927, 105927, 78746, 1532, 28277, 482, 5524, 98397, 27055, 116488, 112340, 99845, 3114, 19039, 2156, 30392, 16494, 12109, 1972, 2136, 13, 220, 21, 109540, 115057, 2001, 21231, 70, 4168, 4513, 19, 12109, 1972, 2136, 690, 7945, 499, 304, 49141, 315, 904, 7057, 499, 5268, 13, 578, 2883, 836, 3709, 13, 220, 22207, 15, 357, 24848, 1189, 2035, 13, 328, 36238, 4168, 4513, 19, 12109, 1972, 2136, 9787, 220, 1682, 39339, 1121, 13, 220, 20, 109540, 115057, 2001, 9012, 308, 64594, 1491, 72, 389, 11077, 7465, 3952, 264, 39620, 520, 813, 35938, 927, 872, 10461, 13015, 532, 51566, 11, 934, 5772, 814, 1051, 682, 9722, 291, 709, 304, 330, 876, 359, 876, 299, 78, 1, 5046, 3388, 11, 499, 649, 1101, 6847, 1514, 832, 1297, 15716, 499, 2733, 1093, 6201, 1119, 13, 763, 279, 1847, 4668, 11, 25725, 2930, 12109, 1972, 3300, 13, 6914, 603, 1501, 279, 8125, 13, 8339, 46030, 7694, 261, 374, 1101, 264, 3361, 4668, 369, 1884, 889, 527, 264, 2466, 8571, 315, 8339, 11, 523, 60539, 12109, 21481, 3953, 13, 2468, 32492, 53448, 21115, 499, 636, 810, 1109, 9958, 323, 55788, 11, 39155, 12109, 2835, 1847, 13, 1472, 1101, 636, 279, 2294, 2574, 922, 5270, 323, 499, 636, 279, 6981, 315, 14392, 499, 2351, 14892, 449, 264, 6573, 16924, 323, 16211, 2883, 13, 15668, 3629, 279, 912, 16946, 12306, 690, 387, 264, 8515, 3568, 323, 499, 3358, 4661, 2744, 387, 3984, 449, 264, 6505, 12109, 912, 16946, 12306, 2082, 311, 1005, 304, 279, 91455, 11, 323, 1690, 2294, 34471, 690, 1101, 3493, 912, 16946, 3541, 25632, 1354, 33321, 2288, 11, 12109, 3953, 369, 2523, 1949, 13, 4314, 4595, 315, 33321, 527, 14333, 779, 1790, 555, 6505, 16087, 323, 2007, 3953, 4311, 11, 323, 279, 1949, 16087, 323, 3953, 1957, 814, 3493, 374, 12738, 11, 10923, 499, 311, 11894, 264, 2865, 315, 6505, 12109, 2523, 2085, 10374, 264, 2960, 13, 1561, 53448, 369, 3658, 477, 8976, 18099, 2085, 12506, 13, 13596, 2294, 3245, 374, 279, 16087, 28612, 374, 430, 499, 649, 1514, 369, 1949, 11, 902, 374, 264, 1695, 1648, 311, 1296, 279, 3953, 2085, 86022, 1972, 3300, 11, 1933, 2172, 9633, 5780, 46988, 7016, 13, 11361, 311, 279, 21448, 527, 5737, 2930, 3432, 34471, 13, 35106, 16087, 369, 1063, 527, 82075, 439, 279, 24519, 7241, 11, 433, 374, 36033, 11, 13946, 12109, 1949, 220, 966, 912, 16946, 13, 9843, 701, 2759, 706, 1027, 33624, 311, 279, 6912, 9745, 2237, 304, 1057, 32492, 53448, 21845, 2068, 320, 10156, 7782, 3658, 3165, 1354, 29298, 41661, 220, 2366, 16, 482, 41785, 5159, 49828, 13, 3297, 220, 2318, 11, 220, 2366, 16, 32492, 53448, 21115, 43088, 468, 1435, 287, 25, 220, 1272, 14714, 1789, 4311, 25, 1561, 11, 11841, 220, 22, 12109, 12306, 14236, 220, 2366, 17, 13, 3320, 5281, 21115, 400, 966, 3658, 482, 2360, 49571, 489, 220, 5154, 4, 29298, 11, 1514, 23087, 3518, 9633, 2930, 13, 10349, 7460, 21115, 400, 2397, 3658, 32013, 482, 2360, 49571, 8524, 20776, 482, 1193, 386, 8445, 33321, 13, 9369, 2212, 279, 2816, 311, 636, 264, 2733, 369, 1405, 682, 315, 872, 3953, 323, 2759, 2038, 527, 7559, 779, 430, 499, 649, 1304, 279, 1455, 315, 701, 892, 1418, 499, 527, 304, 279, 2930, 12109, 11, 2930, 21481, 1972, 3300, 3148, 20652, 13, 3161, 279, 2204, 23204, 369, 2204, 12109, 3953, 433, 1288, 539, 387, 5107, 311, 1505, 264, 14791, 1847, 499, 1390, 311, 1514, 520, 45525, 430, 701, 6201, 1119, 649, 3790, 11, 1243, 5042, 4299, 389, 279, 1847, 323, 1212, 5737, 13, 78811, 555, 5064, 15749, 449, 16781, 6677, 304, 279, 2930, 16211, 5064, 584, 617, 9687, 311, 2231, 279, 6130, 1176, 11, 18355, 281, 46972, 912, 16946, 12306, 14236, 220, 2366, 17, 13, 32492, 53448, 21115, 1101, 706, 279, 1888, 2930, 12109, 3241, 304, 279, 2626, 449, 927, 220, 3965, 3953, 323, 810, 389, 279, 1648, 627, 6102, 12109, 5130, 11, 2930, 12109, 369, 44332, 198, 89428, 16946, 76500, 25, 400, 1041, 13, 2360, 30836, 13693, 369, 420, 12306, 13, 29298, 23583, 12222, 25, 220, 2366, 16, 12, 2545, 12, 966, 13, 3475, 701, 91455, 311, 49878, 279, 12306, 11, 12109, 1972, 2136, 13, 1115, 387, 10209, 374, 1789, 16946, 287, 45648, 13, 21334, 53691, 11835, 5623, 34563, 304, 279, 22541, 3158, 315, 31319, 79763, 26017, 11, 2047, 6427, 872, 78124, 10209, 311, 502, 36394, 11, 12109, 1972, 2136, 13, 1115, 3453, 9437, 439, 1690, 315, 2930, 10034, 39459, 2212, 2533, 220, 2550, 23, 11, 1070, 374, 1120, 9879, 11, 1297, 12591, 76, 12109, 12306, 2082, 13, 11481, 7091, 9689, 612, 12109, 62036, 9258, 374, 279, 17139, 9284, 369, 16211, 323, 16924, 11, 16850, 810, 1109, 220, 11387, 15, 14683, 3953, 11, 264, 5526, 4731, 22150, 13, 362, 84565, 220, 19, 1773, 18986, 10292, 12175, 323, 8577, 82894, 16125, 315, 38656, 27875, 22541, 11, 56617, 13225, 6209, 264, 12109, 11, 9689, 11, 10017, 4219, 11, 7970, 7197, 89, 23160, 6469, 13, 20474, 287, 1884, 889, 10434, 323, 3136, 311, 8854, 11, 584, 649, 956, 9901, 499, 3403, 13, 71570, 31643, 1541, 956, 10894, 584, 3085, 264, 220, 605, 4, 11336, 389, 3691, 369, 682, 4642, 323, 22311, 13, 18729, 17320, 24687, 9787, 28812, 21160, 22541, 323, 12109, 13, 42867, 1990, 279, 43516, 3838, 323, 22553, 17761, 718, 11, 279, 1973, 612, 14479, 998, 10960, 33511, 14135, 449, 6617, 488, 639, 240, 304, 3878, 315, 2225, 3691, 323, 95673, 13, 4718, 1888, 1297, 369, 16087, 11, 323, 279, 17139, 70993, 13, 3161, 927, 220, 1049, 1614, 8838, 10826, 38921, 16087, 499, 649, 733, 682, 304, 2085, 2133, 369, 14760, 13, 7639, 15925, 906, 698, 258, 220, 5538, 11, 220, 4645, 22, 10221, 57039, 13, 1226, 3085, 459, 3217, 1057, 15051, 690, 2567, 5108, 1203, 369, 25, 16757, 2532, 11, 264, 79198, 3691, 27832, 7051, 5130, 612, 459, 42292, 11, 16736, 16975, 0, 2806, 279, 5130, 369, 1973, 12109, 323, 10034, 3703, 323, 15926, 304, 2294, 17503, 11, 12232, 13, 3580, 10960, 35254, 11, 8544, 11, 18594, 11, 4641, 1396, 11, 2686, 11, 4207, 13, 578, 10799, 374, 20086, 323, 279, 5130, 374, 10213, 279, 1890, 13, 578, 34471, 8854, 17954, 13, 20585, 13218, 10960, 374, 1825, 449, 7347, 35254, 13, 356, 34352, 7436, 13726, 12109, 7436, 3691, 13, 1789, 3682, 19679, 323, 7340, 2523, 8267, 12109, 49211, 1973, 1297, 5117, 13, 2650, 499, 1390, 311, 18885, 701, 282, 2130, 552, 30, 6617, 25, 4113, 389, 420, 892, 311, 2567, 264, 2294, 38430, 467, 555, 279, 1689, 553, 276, 13, 4557, 8544, 505, 1973, 12109, 323, 10034, 3703, 520, 220, 8258, 15, 39935, 8961, 23527, 304, 2294, 17503, 220, 23428, 2371, 505, 22542, 2294, 17503, 10960, 60138, 13, 20474, 287, 1884, 889, 10434, 323, 3136, 311, 8854, 11, 584, 649, 956, 9901, 499, 3403, 13, 71570, 31643, 1541, 956, 10894, 584, 3085, 264, 220, 605, 4, 11336, 389, 3691, 369, 682, 4642, 323, 22311, 13, 7639, 596, 10034, 3703, 574, 2840, 70160, 596, 1176, 10034, 3703, 13, 7639, 596, 38119, 11510, 315, 3634, 311, 3821, 4661, 1475, 3682, 1847, 13, 15936, 304, 311, 4774, 2294, 21662, 612, 3691, 13, 23485, 1063, 1917, 538, 3691, 13, 3161, 779, 1690, 15400, 5130, 2671, 11, 499, 3358, 387, 5605, 74983, 311, 1057, 62618, 14846, 449, 701, 19214, 7172, 304, 832, 1450, 323, 13, 7639, 12109, 323, 10034, 3703, 2294, 17503, 5130, 482, 1684, 279, 5130, 369, 1973 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 49, 1983, 64, 323, 445, 847, 617, 1027, 832, 315, 856, 7075, 6857, 826, 3596, 2533, 279, 26924, 264, 9601, 15952, 304, 74982, 10913, 11, 323, 872, 990, 706, 1193, 17454, 16643, 323, 810, 87516, 2533, 430, 574, 1176, 4756, 13, 2435, 3207, 1457, 5655, 1139, 872, 1455, 32855, 20632, 311, 2457, 11, 279, 4758, 35156, 4101, 87258, 355, 13, 3161, 279, 11542, 315, 20514, 29799, 814, 636, 311, 5019, 872, 23492, 323, 35826, 1139, 279, 990, 304, 5627, 430, 15058, 1431, 3284, 520, 279, 6295, 9220, 11, 323, 433, 5039, 13, 358, 15243, 311, 279, 34821, 922, 1268, 814, 990, 3871, 11, 18702, 872, 1920, 11, 5597, 28846, 323, 279, 51266, 323, 94898, 430, 2586, 449, 1778, 264, 10508, 12934, 45168, 11049, 627, 4438, 1790, 656, 499, 1403, 4358, 279, 98536, 3446, 315, 87258, 355, 5380, 44612, 432, 1983, 64, 25, 8096, 5334, 264, 3460, 315, 6800, 1684, 11, 719, 2574, 527, 2744, 10223, 439, 358, 990, 389, 433, 13, 358, 1440, 1405, 584, 3207, 2133, 13, 358, 617, 459, 13696, 304, 4059, 26, 358, 4070, 2744, 1047, 279, 13696, 304, 4059, 13, 2030, 279, 6149, 311, 636, 1070, 93054, 323, 3460, 315, 3966, 311, 38680, 11, 11911, 389, 279, 990, 430, 584, 4070, 2884, 323, 1268, 433, 753, 76722, 13, 1226, 8541, 311, 4358, 3230, 67850, 810, 510, 54895, 279, 8244, 3446, 948, 8096, 5334, 264, 5429, 11, 323, 568, 753, 264, 1633, 3345, 6742, 13, 1283, 753, 539, 1120, 3411, 520, 1148, 568, 3966, 311, 4128, 26, 568, 16181, 1633, 15499, 323, 4131, 1203, 449, 4860, 922, 5885, 323, 279, 8244, 5216, 13, 1283, 15320, 11774, 757, 11, 10494, 757, 1633, 10978, 627, 26597, 445, 847, 25, 18156, 311, 813, 523, 351, 26355, 4999, 8796, 25, 510, 99332, 60, 18156, 13, 2468, 3115, 8096, 690, 1168, 57075, 1523, 389, 2574, 323, 358, 1120, 1205, 311, 2019, 11, 1054, 46648, 757, 389, 420, 11, 499, 3207, 5076, 2029, 1628, 1243, 568, 3585, 704, 2555, 430, 5039, 568, 753, 220, 1041, 4, 1314, 13, 358, 1781, 304, 430, 5647, 584, 617, 459, 10728, 20632, 13, 358, 1541, 1431, 1390, 311, 990, 449, 21739, 430, 3250, 1431, 2512, 13, 510, 43, 34144, 355, 60, 374, 11604, 3871, 323, 433, 753, 539, 264, 20632, 422, 8096, 4536, 1431, 1949, 311, 7899, 813, 11555, 13, 358, 1053, 1093, 311, 1781, 430, 439, 35711, 439, 433, 649, 387, 11, 323, 433, 649, 387, 35711, 439, 8096, 7633, 11, 279, 842, 1121, 5039, 279, 990, 2231, 304, 323, 358, 8434, 1431, 2349, 433, 627, 2735, 25, 1442, 584, 15058, 1431, 17436, 1855, 1023, 1148, 1053, 387, 279, 1486, 304, 3815, 433, 11, 2216, 30, 1226, 2225, 617, 279, 842, 5915, 304, 4059, 315, 3339, 433, 279, 1888, 3284, 2363, 584, 649, 779, 433, 753, 539, 1093, 433, 753, 3596, 11, 1054, 44612, 753, 459, 43358, 11, 568, 753, 5076, 863, 477, 11, 1054, 26597, 3250, 1431, 1440, 1148, 568, 753, 7556, 922, 2029, 1102, 753, 2744, 922, 1148, 753, 2133, 311, 8854, 279, 3446, 323, 279, 13016, 13, 2684, 527, 3115, 1405, 433, 90055, 1523, 311, 18340, 31655, 13, 2684, 753, 459, 14529, 25394, 584, 3207, 3515, 922, 2555, 304, 279, 1510, 4360, 584, 3207, 3318, 389, 13, 3092, 18340, 374, 11890, 757, 832, 3245, 323, 16431, 753, 374, 5605, 2555, 775, 11, 779, 584, 617, 311, 4321, 279, 1584, 1990, 1124, 13, 1102, 753, 539, 1524, 430, 3062, 11, 719, 584, 2103, 617, 1884, 20954, 627, 8796, 25, 1102, 753, 7185, 1606, 433, 3169, 315, 374, 459, 3062, 4360, 1606, 433, 753, 2753, 264, 3446, 4360, 1109, 264, 3488, 922, 1148, 584, 1390, 279, 2363, 311, 387, 323, 1148, 584, 1390, 311, 387, 5605, 304, 433, 13, 1628, 1884, 527, 7170, 279, 1455, 3062, 13878, 4856, 1109, 1148, 753, 279, 74534, 27744, 477, 1268, 656, 584, 1304, 264, 6237, 1427, 8056, 13, 13596, 16267, 315, 3318, 449, 8096, 374, 430, 584, 1505, 13520, 36540, 449, 19662, 4860, 11, 323, 4860, 430, 13016, 1053, 2646, 1524, 2980, 13, 2030, 584, 1440, 430, 584, 3207, 3515, 1521, 20954, 13, 510, 99332, 60, 2100, 433, 753, 2653, 311, 4320, 304, 279, 3230, 389, 430, 26, 584, 3207, 7556, 2212, 420, 3245, 430, 8096, 323, 358, 527, 36540, 449, 13, 1628, 584, 4070, 1027, 79531, 14633, 927, 279, 1566, 220, 1187, 4207, 13, 1102, 753, 459, 32692, 5873, 369, 264, 8668, 26, 430, 753, 1148, 433, 4131, 1523, 311, 13, 1628, 304, 430, 5597, 8096, 706, 311, 10491, 1268, 311, 31435, 1884, 21988, 13, 1628, 279, 2038, 430, 3966, 311, 387, 304, 1884, 21988, 706, 311, 387, 2038, 430, 20076, 5052, 1139, 1884, 21988, 13, 1628, 304, 279, 20076, 961, 584, 3207, 2216, 7556, 922, 2555, 430, 22223, 279, 2363, 389, 1063, 2237, 13, 2684, 527, 6105, 369, 1855, 3072, 11, 719, 520, 279, 842, 315, 279, 1938, 358, 4344, 2133, 311, 18440, 311, 1461, 1606, 568, 8964, 1268, 311, 3371, 279, 3446, 43395, 13, 3011, 753, 279, 3245, 568, 753, 7543, 813, 2324, 6975, 26, 430, 753, 813, 10151, 743, 13, 2100, 369, 757, 311, 636, 304, 279, 1648, 315, 430, 304, 904, 11401, 374, 32677, 627, 4438, 706, 279, 3392, 315, 990, 2631, 1234, 279, 4758, 1646, 7863, 449, 701, 17078, 5380, 2735, 25, 1102, 753, 1093, 3318, 389, 459, 1280, 88, 2363, 13, 3011, 753, 1268, 358, 3940, 704, 11, 389, 659, 2320, 11931, 6603, 13, 2684, 527, 1063, 2574, 584, 1541, 1431, 617, 311, 656, 1093, 18991, 323, 8141, 11, 719, 449, 2555, 1093, 8661, 1070, 753, 264, 2763, 810, 990, 13, 2468, 22883, 477, 11162, 499, 4128, 279, 2199, 11, 3708, 433, 304, 323, 499, 3207, 2884, 13, 2684, 753, 420, 4459, 2466, 5780, 430, 5097, 927, 323, 279, 54260, 40336, 323, 279, 20303, 374, 57087, 704, 520, 279, 842, 315, 433, 13, 1226, 8659, 636, 264, 2763, 810, 6532, 304, 279, 8661, 323, 22923, 315, 279, 2363, 13, 2684, 527, 264, 2763, 315, 11429, 430, 358, 3952, 369, 49780, 430, 527, 1694, 1903, 555, 279, 8271, 66614, 520, 279, 6295, 9220, 430, 584, 617, 311, 1304, 1457, 13, 1628, 430, 753, 1695, 26, 358, 4344, 539, 42126, 922, 433, 11, 358, 3604, 10932, 433, 13, 1628, 304, 264, 2763, 315, 5627, 358, 1781, 584, 3207, 810, 15337, 311, 1304, 279, 11429, 1109, 1884, 1274, 1051, 627, 3923, 4519, 527, 304, 279, 10657, 11348, 5380, 8796, 25, 1226, 4070, 2751, 264, 2216, 7155, 31085, 315, 279, 4465, 520, 279, 842, 315, 1221, 41633, 510, 1820, 11999, 15952, 1145, 902, 574, 264, 2466, 4545, 369, 603, 1120, 304, 3878, 315, 1268, 584, 51696, 13, 1102, 753, 2555, 584, 15243, 922, 3815, 4661, 7214, 1306, 430, 4360, 3782, 704, 323, 584, 3207, 6380, 311, 387, 3025, 311, 1501, 279, 1920, 13, 1226, 4070, 2751, 459, 2713, 315, 279, 4435, 5135, 11, 779, 499, 4805, 1518, 1268, 279, 41589, 55096, 32360, 6671, 706, 5614, 505, 279, 842, 315, 279, 1176, 1403, 67850, 311, 1457, 13, 1226, 4070, 2751, 264, 16645, 17747, 332, 18022, 510, 1820, 15034, 315, 87258, 355, 60, 7364, 409, 5457, 315, 3345, 33834, 323, 20604, 9660, 315, 473, 1197, 30617, 11, 39568, 323, 43749, 13, 16645, 11621, 264, 2763, 315, 2574, 902, 2643, 539, 387, 3970, 304, 279, 29159, 719, 527, 264, 8941, 315, 2523, 13, 358, 4510, 47809, 50664, 374, 3815, 2500, 3504, 13, 1226, 4070, 2751, 520, 3325, 832, 6710, 315, 1989, 430, 1047, 311, 387, 32828, 369, 459, 4360, 11, 779, 584, 3207, 2133, 311, 1629, 279, 4113, 6710, 304, 279, 4526, 13, 2684, 753, 810, 1109, 3403, 1695, 6392, 304, 1070, 627, 2735, 25, 2684, 753, 3604, 2133, 311, 387, 264, 2763, 810, 1109, 1070, 574, 304, 279, 1176, 8286, 1120, 1606, 315, 279, 1648, 279, 1396, 315, 6959, 304, 279, 4819, 19579, 279, 2199, 1797, 8670, 369, 279, 2653, 25082, 13, 1226, 9670, 709, 449, 264, 2763, 315, 5066, 6959, 420, 892, 902, 3445, 264, 2763, 315, 3769, 369, 1274, 889, 3780, 433, 627, 8796, 25, 358, 1781, 2555, 584, 4070, 6818, 311, 656, 374, 6493, 439, 1790, 439, 584, 649, 13, 1226, 1456, 311, 2646, 12571, 264, 2199, 26, 814, 3207, 682, 27498, 13, 1115, 374, 264, 73756, 2653, 3773, 13, 1102, 753, 523, 68485, 311, 279, 1437, 318, 449, 39953, 37433, 88, 9660, 627, 44612, 11, 617, 499, 1027, 2080, 1711, 87258, 355, 779, 430, 1475, 1403, 67850, 14890, 304, 279, 2653, 56958, 2733, 1093, 1202, 1866, 6710, 315, 279, 8294, 3446, 30, 3234, 499, 2980, 279, 2653, 56958, 994, 83240, 433, 5380, 8796, 25, 2360, 11, 539, 2216, 13, 358, 1781, 315, 279, 3446, 304, 3878, 315, 15952, 779, 430, 1855, 3927, 15952, 11031, 279, 8244, 3446, 264, 3230, 6138, 7119, 1057, 842, 5915, 13, 1226, 3197, 311, 2567, 3815, 279, 2653, 56958, 1475, 1403, 67850, 1606, 814, 1304, 6555, 47634, 11, 323, 358, 1781, 8096, 323, 358, 527, 7276, 311, 3515, 264, 2653, 3773, 2373, 315, 1057, 990, 430, 753, 459, 4228, 4526, 315, 433, 323, 706, 264, 2763, 315, 5217, 2262, 13, 25122, 584, 3207, 3318, 389, 356, 620, 11, 279, 18172, 15952, 11, 323, 358, 4344, 539, 7422, 922, 1057, 4948, 2653, 3773, 520, 682, 13, 358, 4344, 7422, 922, 1148, 358, 617, 311, 656, 304, 4819, 220, 1419, 11, 220, 1187, 11, 220, 914, 323, 220, 1627, 13, 2650, 656, 358, 656, 420, 3245, 358, 4934, 311, 656, 304, 26292, 220, 1313, 430, 8096, 15243, 757, 704, 315, 510, 73556, 60, 2650, 584, 5052, 433, 304, 3010, 11, 2574, 1093, 430, 13, 13266, 527, 279, 279, 10742, 627, 26597, 11, 1455, 315, 701, 892, 374, 29329, 311, 87258, 355, 627, 40, 1541, 1431, 617, 904, 892, 311, 990, 389, 4205, 775, 13, 358, 4344, 20025, 3025, 311, 636, 87258, 355, 2884, 11, 439, 1057, 9899, 706, 6982, 13, 1102, 753, 264, 2763, 315, 990, 11, 810, 1109, 904, 1023, 20303, 358, 4070, 3596, 2884, 13, 2684, 753, 779, 1790, 4092, 3769, 430, 706, 311, 387, 6319, 323, 3463, 704, 13, 2650, 1550, 499, 2231, 433, 16431, 5380, 8796, 25, 1472, 3207, 264, 3345, 6742, 627, 2735, 25, 22335, 13, 358, 617, 311, 31646, 2216, 5655, 1139, 279, 5429, 13, 763, 264, 6237, 1405, 55706, 374, 15240, 41189, 1139, 459, 13147, 3130, 11, 358, 617, 311, 2980, 1148, 459, 13147, 3130, 304, 420, 1917, 5992, 1093, 304, 8996, 1060, 584, 3207, 304, 13, 3011, 753, 539, 2555, 358, 649, 1120, 636, 264, 6945, 315, 1022, 279, 7757, 13, 2650, 1690, 4860, 617, 358, 3288, 499, 922, 2574, 1093, 1405, 279, 17244, 18381, 1288, 387, 13, 2684, 527, 779, 1690, 2697, 3649, 430, 358, 617, 311, 2610, 922, 13, 2468, 1176, 358, 574, 4737, 264, 2697, 810, 315, 264, 60390, 1291, 5603, 311, 430, 323, 358, 3169, 315, 1047, 856, 33271, 72888, 264, 2766, 369, 1701, 279, 5076, 16766, 323, 2574, 1093, 430, 13, 2684, 753, 264, 2763, 315, 3495, 323, 264, 2763, 315, 4092, 430, 5900, 304, 1603, 358, 1212, 13633, 279, 2199, 627, 3923, 3727, 279, 1403, 315, 499, 1778, 264, 3831, 2128, 323, 12716, 499, 7752, 1203, 3871, 11, 927, 323, 927, 5380, 8796, 25, 358, 1781, 832, 315, 279, 8125, 430, 584, 990, 2216, 1664, 3871, 374, 584, 1093, 1855, 1023, 323, 430, 706, 19543, 304, 264, 27607, 430, 358, 1781, 1855, 315, 603, 706, 264, 2294, 3568, 315, 10082, 304, 323, 430, 706, 36513, 264, 1633, 1317, 892, 13, 1102, 753, 264, 61300, 311, 279, 27607, 430, 584, 649, 18046, 323, 4465, 922, 2574, 389, 87258, 355, 323, 7293, 4885, 11, 323, 430, 584, 649, 2543, 311, 1855, 1023, 369, 5435, 2133, 389, 304, 1057, 6439, 13, 8096, 323, 358, 527, 1633, 2204, 1274, 11, 719, 584, 617, 1690, 1690, 7634, 315, 19801, 11, 323, 1690, 1690, 315, 1057, 12034, 527, 4528, 11, 5423, 10255, 2740, 13, 1226, 3207, 1633, 40069, 27210, 627, 2735, 25, 358, 1101, 1781, 1057, 12062, 32241, 832, 2500, 627, 2735, 25, 16431, 374, 810, 6129, 323, 5334, 1633, 25429, 922, 279, 6129, 13878, 315, 420, 3446, 11, 323, 358, 1505, 7182, 12304, 922, 1274, 449, 53157, 30102, 2212, 323, 68981, 1855, 1023, 13, 1226, 8335, 1855, 1023, 704, 430, 1648, 323, 358, 1781, 430, 422, 832, 315, 603, 1051, 311, 617, 810, 2585, 927, 279, 1620, 2027, 1109, 279, 1023, 832, 1109, 433, 8434, 1431, 387, 439, 1695, 627, 8796, 25, 1102, 1053, 7995, 13194, 510, 1820, 1620, 2027 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 51990, 34261, 5769, 220, 17, 220, 12226, 10721, 198, 42214, 220, 777, 11, 9787, 20238, 15490, 220, 17, 393, 8640, 389, 264, 19091, 6332, 220, 16, 52405, 18121, 323, 706, 1027, 29441, 449, 264, 9599, 6382, 389, 279, 14981, 3185, 13, 2684, 374, 1101, 264, 76456, 6382, 12673, 389, 279, 4156, 3185, 369, 2835, 8260, 323, 52067, 5099, 13, 4314, 33689, 33347, 1304, 420, 264, 1633, 304, 57364, 21354, 719, 1148, 3727, 433, 2216, 16003, 374, 279, 3544, 1396, 315, 10721, 902, 649, 387, 24174, 389, 433, 1555, 279, 8682, 1883, 9307, 13, 578, 7839, 578, 18907, 20238, 15490, 220, 17, 374, 264, 1664, 69956, 21354, 449, 8147, 22032, 11, 264, 27078, 4264, 11, 323, 4131, 449, 8682, 10487, 13, 578, 11717, 2468, 400, 11, 279, 21354, 374, 927, 652, 7725, 13, 5186, 220, 1419, 11, 9787, 2057, 1690, 264, 21354, 374, 459, 16924, 3756, 323, 311, 1690, 433, 374, 264, 990, 8216, 13, 578, 18907, 20238, 15490, 220, 17, 393, 21354, 4519, 264, 220, 22, 15271, 320, 10166, 8, 77857, 369, 701, 7446, 3966, 323, 8640, 8682, 348, 19, 320, 52430, 30800, 67836, 8, 10565, 1887, 311, 6288, 1825, 10721, 323, 3953, 627, 51990, 34261, 5769, 220, 17, 220, 12226, 10721, 198, 2746, 499, 527, 3411, 578, 5526, 20238, 15490, 5334, 264, 35692, 323, 56719, 369, 220, 679, 17, 5787, 2650, 29127, 8682, 34120, 320, 8682, 220, 19, 13, 15, 18907, 20238, 15490, 220, 17, 220, 22, 1, 883, 320, 6313, 661, 340, 2170, 3117, 439, 13021, 374, 11920, 279, 18907, 67050, 9077, 278, 677, 437, 384, 6358, 369, 9155, 15490, 220, 17, 578, 20238, 15490, 220, 17, 10541, 279, 6437, 13046, 311, 1501, 1057, 3813, 9922, 389, 279, 4264, 5128, 17676, 819, 11, 279, 5150, 14370, 3952, 264, 1695, 220, 605, 311, 220, 508, 6622, 311, 2865, 11, 1524, 994, 584, 1051, 8599, 311, 264, 3831, 17664, 27395, 8450, 13, 578, 6435, 8441, 3217, 9731, 439, 499, 7363, 323, 15932, 11, 449, 279, 20238, 15490, 220, 17, 1666, 1664, 439, 6149, 9293, 11, 499, 1101, 636, 5195, 596, 1949, 2543, 14656, 65051, 10873, 3241, 11, 4869, 9298, 439, 279, 20238, 15490, 220, 17, 2876, 430, 499, 4265, 1390, 311, 1005, 264, 19220, 1176, 15687, 2001, 18327, 11, 8450, 11, 74084, 34261, 5769, 220, 17, 220, 12226, 10721, 13, 1666, 279, 18907, 20238, 15490, 220, 17, 5810, 499, 649, 4232, 10721, 11, 3953, 11, 6603, 323, 9698, 311, 2567, 499, 65550, 11, 8051, 18907, 3250, 956, 1781, 420, 374, 3403, 13, 578, 16526, 14290, 706, 1101, 864, 34788, 4841, 1202, 18907, 1883, 4435, 3637, 11, 10209, 264, 810, 75826, 6727, 315, 8522, 11, 323, 1418, 433, 1253, 4148, 1063, 315, 279, 294, 2177, 499, 636, 304, 5195, 7199, 11, 433, 5084, 264, 2697, 74084, 34261, 5769, 220, 17, 220, 12226, 10721, 323, 584, 1766, 13520, 14836, 1203, 311, 279, 5708, 10209, 5128, 6288, 627, 16411, 398, 505, 701, 20238, 10573, 3756, 477, 279, 10573, 5769, 304, 20238, 9307, 11, 499, 649, 2543, 701, 20238, 10573, 1139, 264, 11401, 1537, 11, 264, 43828, 7364, 30742, 263, 477, 1524, 264, 16211, 3756, 13, 353, 16528, 10721, 1253, 13592, 555, 3756, 11, 10293, 477, 5654, 2971, 5083, 11, 323, 7318, 10721, 527, 2561, 1306, 7782, 13, 17907, 220, 777, 11, 9787, 20238, 15490, 220, 17, 393, 8640, 389, 264, 19091, 6332, 220, 16, 52405, 18121, 323, 706, 1027, 29441, 449, 264, 9599, 6382, 389, 279, 14981, 3185, 13, 2684, 374, 1101, 264, 76456, 6382, 12673, 389, 279, 4156, 3185, 369, 2835, 8260, 323, 52067, 5099, 13, 4314, 33689, 33347, 1304, 420, 264, 1633, 304, 57364, 21354, 719, 1148, 3727, 433, 2216, 16003, 374, 279, 3544, 1396, 315, 10721, 902, 649, 387, 24174, 389, 433, 1555, 279, 8682, 1883, 9307, 13, 2175, 2680, 311, 11190, 10105, 11, 1268, 4791, 28292, 11, 7980, 6, 56294, 11, 323, 2027, 29803, 369, 701, 20238, 15490, 362, 320, 59128, 27395, 8, 505, 18907, 2326, 9365, 13, 578, 7839, 578, 18907, 20238, 15490, 220, 17, 374, 264, 1664, 69956, 21354, 449, 8147, 22032, 11, 264, 27078, 4264, 11, 323, 4131, 449, 8682, 10487, 13, 578, 11717, 2468, 400, 11, 279, 21354, 374, 927, 652, 7725, 13, 5348, 55882, 15948, 67828, 67365, 3161, 18907, 20238, 15490, 220, 18, 12177, 9483, 220, 17, 220, 22, 1174, 15064, 328, 23, 4642, 11, 328, 22, 12250, 33, 11833, 18654, 11602, 90898, 34585, 37987, 30982, 1789, 5195, 41122, 220, 22, 220, 605, 58403, 220, 23, 5494, 220, 845, 5494, 220, 843, 5494, 41122, 328, 14642, 18907, 20238, 15490, 220, 18, 7181, 20238, 328, 20, 11, 328, 19, 11, 328, 18, 11, 328, 17, 14642, 1561, 35412, 6785, 66016, 11, 473, 13009, 76273, 469, 7244, 57301, 26367, 3053, 358, 1005, 279, 36867, 1883, 13, 10263, 220, 2148, 11, 9787, 2684, 527, 9214, 315, 1949, 10721, 430, 499, 649, 4232, 323, 1005, 389, 701, 18907, 20238, 15490, 220, 17, 11, 719, 433, 1253, 387, 2653, 311, 1440, 1148, 10721, 527, 1888, 13, 16645, 2030, 363, 5334, 499, 3940, 555, 25394, 5899, 1949, 10721, 430, 5376, 7296, 11, 26206, 11, 323, 28697, 13, 5666, 18907, 20238, 15490, 220, 17, 320, 543, 4211, 8, 311, 8682, 20238, 9307, 374, 459, 10721, 3637, 1903, 369, 18907, 7766, 13, 34039, 18907, 10721, 11, 14079, 16211, 10721, 11, 323, 4443, 2065, 7526, 1120, 369, 20238, 3932, 13, 13806, 220, 605, 11, 9787, 578, 220, 605, 7252, 18907, 20238, 15490, 34120, 13, 18907, 596, 20238, 15490, 323, 20238, 7181, 5238, 11, 3871, 11, 527, 279, 1455, 6992, 28612, 315, 8682, 29679, 13, 7557, 279, 1888, 1005, 315, 1124, 449, 1521, 14079, 27803, 36414, 59964, 2337, 25, 62189, 6583, 328, 16133, 13, 477, 18907, 8682, 58403, 320, 53619, 14092, 15490, 328, 19, 11, 20238, 15490, 362, 1174, 20238, 15490, 328, 18, 11, 15490, 328, 17, 11, 15490, 362, 17, 11, 15490, 10106, 220, 17, 8, 482, 18907, 75037, 25, 8682, 40163, 75480, 10293, 1754, 323, 5190, 353, 1102, 1253, 539, 387, 7396, 555, 1063, 4211, 11, 11911, 389, 279, 22234, 29803, 13, 482, 18907, 16147, 10573, 25, 350, 24604, 10293, 477, 1561, 261, 320, 51990, 20238, 10573, 11, 18907, 20238, 662, 12044, 220, 508, 11, 9787, 578, 20238, 15490, 220, 17, 4131, 52550, 449, 5195, 753, 5652, 8682, 1977, 11, 2373, 1174, 779, 499, 7214, 636, 279, 7720, 315, 279, 5652, 8682, 4519, 1093, 62046, 11, 13674, 11, 5195, 28508, 1880, 453, 13, 18907, 706, 18751, 3953, 323, 6603, 1139, 279, 21354, 1701, 10721, 2663, 279, 18907, 611, 20, 1020, 3011, 1071, 11, 499, 690, 1205, 311, 617, 264, 18907, 1217, 2759, 304, 2015, 311, 1005, 420, 917, 13, 578, 20238, 34120, 3834, 374, 4528, 311, 5195, 7199, 596, 3834, 25, 279, 2778, 3703, 374, 7559, 520, 279, 1948, 315, 279, 4264, 449, 2204, 23204, 1314, 3770, 433, 13, 3161, 1521, 23204, 11, 499, 649, 6288, 4141, 10721, 11, 2835, 3953, 11, 14079, 6209, 11, 323, 78348, 10721, 13, 3799, 220, 806, 11, 9787, 34120, 13, 1666, 279, 18907, 20238, 15490, 220, 17, 374, 459, 8682, 3756, 499, 636, 2680, 311, 279, 1664, 71116, 5195, 7199, 3637, 11, 902, 374, 1457, 7231, 279, 8325, 1883, 9307, 264, 1972, 1629, 369, 1202, 3300, 13, 4740, 499, 25539, 459, 917, 11, 279, 1828, 3094, 374, 33577, 11, 555, 32139, 433, 505, 279, 5195, 7199, 9307, 311, 701, 18907, 20238, 21354, 13, 578, 917, 374, 10487, 9651, 11, 4857, 709, 701, 4526, 315, 10721, 323, 24050, 1148, 279, 21354, 649, 656, 13, 7839, 3754, 25, 7648, 10721, 527, 2561, 369, 1949, 13, 24327, 3754, 25, 7570, 279, 10721, 662, 12044, 220, 2705, 11, 9787, 220, 22, 18149, 389, 2650, 311, 4148, 20217, 34120, 505, 18907, 20238, 15490, 220, 17, 1754, 3861, 315, 279, 1401, 4519, 315, 18907, 753, 19898, 54, 450, 3241, 369, 8682, 323, 3010, 374, 279, 28286, 315, 20217, 34120, 32253, 33577, 323, 27730, 10721, 389, 701, 20238, 15490, 11, 701, 5195, 2759, 2011, 387, 22756, 13, 763, 420, 8641, 279, 5690, 1883, 374, 1511, 439, 459, 3187, 662, 1442, 499, 1390, 311, 8454, 264, 539, 70641, 449, 701, 20238, 15490, 220, 17, 311, 1520, 499, 2567, 701, 4553, 8577, 11, 2980, 1701, 279, 31245, 587, 917, 6982, 304, 19575, 220, 18, 13, 1102, 596, 1633, 4228, 311, 10477, 8522, 389, 701, 18907, 20238, 15490, 220, 18, 11, 3060, 311, 2567, 701, 2162, 15670, 477, 8522, 1160, 4335, 477, 311, 1304, 2771, 430, 3885, 889, 13, 8745, 323, 4685, 459, 917, 482, 18907, 20238, 15490, 220, 18, 13, 5659, 279, 2162, 4264, 11, 15596, 7199, 9307, 13, 7181, 25, 1442, 29746, 11, 1373, 279, 5195, 7199, 20163, 315, 5475, 11, 1243, 15596, 662, 5560, 1521, 7504, 311, 10477, 477, 1501, 10721, 389, 279, 18907, 20238, 15490, 220, 18, 13, 1952, 420, 2199, 25, 26672, 7073, 26672, 35342, 10721, 690, 539, 1501, 304, 279, 34120, 5130, 477, 13, 5560, 1521, 7504, 311, 1005, 83738, 61470, 54735, 323, 2867, 6636, 369, 10721, 389, 279, 18907, 20238, 15490, 220, 18, 13, 1952, 420, 2199, 25, 12292, 917, 6636, 323, 828, 5666, 10721, 13, 20238, 15490, 328, 17, 482, 1252, 12527, 477, 29127, 34120, 320, 9691, 9469, 612, 14031, 9469, 8, 220, 18, 13, 763, 279, 28594, 1623, 56133, 5769, 11, 5916, 279, 3851, 499, 1390, 311, 54735, 13, 220, 19, 13, 8745, 279, 10721, 6319, 369, 701, 20238, 323, 20238, 10573, 7766, 520, 279, 7286, 398, 505, 701, 20238, 10573, 3756, 477, 279, 10573, 5769, 304, 20238, 9307, 11, 499, 13, 18907, 20238, 15490, 220, 18, 1862, 13, 8745, 287, 459, 917, 13, 1472, 649, 1005, 5195, 7199, 311, 4232, 10721, 11, 3953, 11, 6603, 323, 9698, 311, 701, 21354, 13, 1472, 3358, 1205, 264, 13, 3861, 315, 279, 3682, 4819, 430, 2567, 39137, 7623, 1475, 8682, 21354, 374, 279, 6996, 315, 7706, 4147, 10721, 11, 323, 279, 3446, 374, 1890, 449, 20238, 15490, 220, 17, 482, 5560, 74084, 34261, 5769, 220, 17, 220, 12226, 10721, 323, 4774, 18907, 20238, 15490, 220, 17, 3477, 765, 452, 75918, 72042, 19209, 198, 791, 6051, 11887, 20238, 15490, 220, 17, 374, 2883, 596, 1176, 20534, 30800, 67836, 21354, 311, 5662, 6890, 323, 433, 374, 1101, 264, 3756, 430, 15785, 264, 2466, 6541, 304, 2883, 596, 2218, 3157, 13, 12361, 315, 2133, 1306, 279, 23067, 23455, 11, 18907, 706, 41193, 430, 433, 374, 2731, 311, 2218, 23455, 430, 1541, 956, 617, 279, 8199, 311, 3469, 369, 23067, 323, 649, 30485, 264, 2766, 389, 4519, 13, 578, 20238, 15490, 220, 17, 4131, 520, 4661, 4376, 279, 3430, 520, 902, 4113, 20238, 15490, 574, 11887, 304, 6890, 323, 706, 4528, 4519, 11, 719, 706, 279, 14278, 304, 3430, 40028, 279, 8244, 5178, 315, 279, 3756, 30, 1226, 1505, 704, 304, 420, 3477, 13, 37865, 35802, 505, 279, 4113, 220, 22, 25224, 20238, 15490, 11, 682, 279, 18907, 29679, 1427, 20086, 11, 449, 1120, 264, 2478, 37637, 12062, 11, 719, 430, 304, 5196, 374, 539, 16168, 264, 3958, 3245, 13, 578, 502, 20238, 220, 17, 5992, 6555, 323, 18809, 32620, 304, 1450, 13, 578, 21354, 1203, 374, 1903, 315, 65257, 12466, 323, 374, 31785, 311, 77777, 20426, 279, 4156, 11, 902, 1120, 16180, 1124, 13, 578, 21354, 4131, 449, 8162, 5608, 3786, 323, 5912, 23739, 3786, 9633, 389, 279, 2163, 11, 1418, 8286, 96226, 323, 2410, 3215, 527, 3118, 389, 279, 1314, 13, 578, 40134, 389, 279, 23739, 9633, 374, 11, 70706, 11, 539, 64005, 315, 279, 1648, 279, 23739, 374, 10171, 311, 387, 22306, 482, 584, 39928, 5115, 264, 2766, 315, 892, 449, 430, 0, 2684, 374, 912, 18654, 12, 27123, 2700, 389, 279, 3756, 323, 2883, 706, 5343, 264, 34333, 828, 12454, 23468, 2700, 389, 279, 5740, 430, 374, 11096, 555, 279, 39052, 22032, 323, 6156, 19748, 13, 578, 1948, 15316, 279, 220, 18, 627, 10031, 810, 81404, 392, 274, 3953, 274, 578, 917, 690, 9651, 2778, 369, 1023, 7766, 304, 279, 53851, 902, 527, 3025, 311, 1935, 961, 304, 279, 17265, 7640, 2001, 2737, 18084, 11, 48985, 11, 19002, 11, 7941, 60866, 11, 3953, 51193, 323, 1023, 29679, 13, 3165, 31458, 20924, 389, 279, 1023, 1450, 11, 439, 374, 279, 1162, 449, 904, 1023, 5916, 3834, 3756, 11, 374, 264, 2766, 14192, 88, 311, 1005, 13, 4800, 11, 1977, 701, 1866, 71446, 902, 75762, 279, 2262, 499, 3021, 5403, 279, 1455, 13, 1102, 706, 264, 2487, 23164, 369, 8260, 10096, 323, 264, 4156, 76456, 6382, 3485, 323, 279, 18907, 12708, 3770, 279, 4264, 13, 578, 220, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 3936, 25, 24561, 323, 27740, 15323, 7713, 198, 7279, 25, 35198, 88, 650, 320, 76, 599, 950, 15561, 340, 6888, 25, 7554, 6237, 505, 24561, 323, 27740, 11, 91419, 11, 13194, 14, 19975, 11, 21626, 12, 5383, 198, 52125, 25, 2876, 10705, 11, 53661, 11, 53661, 11, 1541, 956, 34872, 757, 11, 53661, 11, 53661, 9522, 7279, 596, 18559, 25, 7777, 1664, 11, 358, 1047, 264, 353, 16548, 9, 3575, 449, 24561, 323, 27740, 1131, 1962, 279, 3325, 315, 902, 374, 1268, 5246, 433, 3782, 1306, 55706, 304, 264, 6187, 13, 2100, 11, 420, 374, 856, 4879, 311, 10552, 13, 38994, 433, 6575, 13, 37957, 374, 2294, 13, 18231, 499, 4774, 0, 90163, 51213, 323, 27740, 15323, 7713, 198, 791, 5333, 6656, 323, 7111, 1139, 279, 3177, 6437, 6548, 315, 279, 893, 1828, 311, 1077, 627, 7189, 5647, 584, 7020, 1855, 1023, 1664, 1603, 856, 5044, 574, 5675, 13, 14910, 584, 7673, 578, 1427, 315, 3987, 5737, 4028, 279, 5333, 596, 4519, 574, 96207, 481, 627, 63, 8586, 433, 4131, 6, 54765, 3463, 11, 88807, 1077, 6548, 9495, 323, 9699, 287, 11937, 369, 813, 10052, 13, 16782, 11, 1077, 4851, 65330, 13, 3005, 6612, 264, 28062, 315, 2555, 53007, 311, 80822, 7102, 1555, 1077, 627, 18820, 295, 1047, 3970, 279, 3717, 15541, 1990, 15469, 323, 6706, 6, 969, 13, 3005, 4265, 3970, 279, 5992, 568, 4265, 2728, 1077, 13, 3005, 4265, 3970, 1461, 4465, 279, 2800, 315, 813, 2128, 304, 1077, 9232, 11, 30674, 430, 6706, 6, 969, 323, 7228, 64, 1051, 2204, 1274, 13, 1628, 1457, 430, 7228, 64, 596, 19459, 1051, 8208, 11, 3249, 13434, 956, 15469, 3136, 813, 5133, 449, 6706, 6, 969, 30, 8595, 353, 41450, 77, 956, 9, 568, 5380, 18820, 295, 596, 6548, 32122, 1825, 11, 1077, 61225, 74035, 304, 22047, 13, 2360, 30, 24805, 1364, 6755, 1461, 1314, 11, 477, 574, 430, 1120, 6562, 1285, 7422, 5380, 39522, 11, 584, 2646, 2216, 1550, 1210, 1283, 8738, 627, 8100, 353, 32345, 9, 6755, 1314, 13, 1666, 264, 25406, 6706, 6, 969, 6656, 3201, 505, 15469, 323, 15203, 709, 279, 23091, 11, 54765, 1095, 704, 264, 11745, 1364, 19117, 956, 15393, 1364, 4265, 1027, 10168, 627, 4054, 1427, 520, 15469, 11, 323, 54765, 596, 16337, 14091, 63332, 13, 1283, 574, 11509, 449, 813, 11977, 28129, 6144, 3210, 4028, 813, 15489, 11, 813, 7645, 574, 61391, 481, 11, 323, 813, 6437, 6548, 1051, 8521, 32620, 389, 279, 6558, 13, 54765, 53914, 439, 279, 80822, 1364, 6612, 50459, 1139, 21648, 627, 63, 13191, 358, 353, 1395, 9, 904, 810, 45743, 20837, 3005, 3463, 311, 11937, 13, 15469, 1047, 912, 5129, 17454, 927, 70042, 279, 4648, 315, 813, 28530, 7555, 11, 29070, 2351, 482, 1193, 311, 1505, 430, 279, 5333, 814, 4265, 3967, 439, 6706, 6, 969, 574, 11, 304, 2144, 11, 7228, 64, 11, 279, 23047, 261, 315, 52947, 323, 264, 38063, 26966, 893, 18029, 627, 3112, 1603, 1077, 1070, 574, 1443, 61822, 9522, 3112, 1603, 1077, 1070, 574, 91668, 269, 9522, 18820, 295, 53914, 1578, 13, 15469, 2216, 7020, 1268, 311, 3820, 1595, 336, 627, 41686, 6612, 459, 10535, 5647, 315, 16337, 11623, 927, 1461, 439, 279, 800, 867, 349, 48110, 1022, 13, 16782, 11, 568, 1436, 1101, 2733, 264, 11537, 37628, 3252, 6784, 1664, 287, 709, 4871, 813, 4851, 13, 3161, 264, 10015, 34522, 520, 54765, 11, 15469, 28016, 813, 6206, 304, 813, 30278, 323, 15203, 7119, 279, 6134, 13, 38994, 1063, 892, 7636, 1053, 8854, 311, 1520, 3460, 704, 813, 16024, 627, 644, 264, 294, 10033, 11, 15469, 1766, 813, 1648, 311, 813, 32573, 323, 29368, 8800, 813, 4950, 13, 58801, 813, 19459, 505, 279, 3347, 5743, 315, 5672, 6137, 5737, 304, 813, 4059, 1093, 264, 5818, 482, 832, 568, 7846, 956, 2543, 1022, 627, 35897, 9131, 311, 96100, 355, 1047, 3940, 704, 1093, 904, 1023, 13, 2030, 4382, 27501, 1047, 4529, 264, 1203, 10954, 994, 814, 1766, 704, 922, 279, 3148, 1097, 98575, 279, 75772, 315, 279, 11841, 1051, 25051, 13, 1628, 5246, 1306, 6975, 315, 279, 12544, 389, 96100, 355, 11, 814, 4265, 2322, 6706, 6, 969, 627, 6746, 6, 969, 11, 1364, 574, 264, 8369, 11, 3831, 11, 6366, 11, 323, 20333, 7808, 13, 1628, 11, 4184, 311, 1077, 1274, 11, 1364, 574, 7154, 3254, 37240, 398, 8647, 369, 10695, 1124, 636, 1555, 279, 24716, 22743, 430, 1047, 10222, 1306, 872, 5044, 4814, 627, 6153, 10374, 1063, 892, 449, 6706, 6, 969, 11, 1701, 1077, 6677, 323, 6875, 304, 16388, 315, 9455, 264, 27208, 11, 15469, 1047, 1766, 5678, 70706, 29123, 311, 1077, 13, 1283, 27569, 7422, 430, 433, 574, 912, 2466, 3568, 13, 2468, 27523, 323, 30903, 1990, 1274, 574, 1193, 5933, 13, 2360, 2466, 3568, 1131, 578, 2800, 315, 813, 19459, 3782, 1203, 311, 1461, 304, 264, 8381, 482, 5108, 1203, 311, 9578, 11, 52146, 6706, 6, 969, 11, 9455, 704, 279, 8206, 922, 1077, 9764, 11, 10695, 1077, 323, 1077, 1274, 11, 323, 1457, 3782, 1131, 1820, 31352, 4498, 627, 41686, 596, 10723, 5818, 79722, 801, 311, 279, 21735, 323, 1243, 35595, 13, 1283, 53914, 439, 279, 13194, 304, 813, 4851, 12724, 839, 709, 1578, 13, 9930, 4359, 264, 21735, 574, 682, 430, 7077, 11, 719, 430, 21735, 7636, 1047, 2884, 810, 5674, 1109, 568, 7020, 1268, 311, 3568, 449, 627, 1548, 1436, 2103, 6227, 279, 2733, 315, 1077, 11977, 2212, 1461, 11, 323, 279, 12945, 315, 1077, 23726, 13, 578, 21735, 574, 8579, 323, 8369, 11, 323, 1603, 568, 7020, 433, 11, 568, 574, 34932, 813, 6548, 1825, 1120, 779, 568, 1436, 1427, 1139, 1884, 5655, 14198, 6548, 9522, 4071, 1077, 6548, 1051, 264, 34734, 6437, 627, 13058, 2065, 323, 34951, 4295, 1461, 1093, 264, 21004, 304, 279, 23152, 13, 578, 5333, 568, 574, 52146, 574, 539, 279, 5333, 568, 10456, 13, 3005, 5828, 956, 279, 832, 813, 4851, 574, 79422, 369, 13, 3005, 5828, 956, 813, 7555, 11, 1364, 574, 264, 35058, 311, 1461, 627, 3112, 568, 4265, 1120, 65397, 279, 1193, 5333, 568, 4265, 3596, 10456, 627, 791, 14770, 34951, 2103, 95579, 2403, 813, 4059, 323, 4851, 13, 4673, 3036, 1606, 29070, 2351, 574, 8208, 16058, 13, 4673, 3036, 1606, 568, 4265, 5535, 6706, 6, 969, 311, 636, 2288, 3345, 13, 4673, 3036, 1606, 568, 4265, 2586, 311, 813, 38207, 1120, 264, 2697, 2288, 3389, 627, 41686, 596, 11555, 8738, 389, 872, 45578, 42197, 13, 362, 42632, 13, 53296, 956, 430, 1148, 433, 596, 2663, 994, 499, 1005, 264, 1732, 311, 10894, 4423, 775, 30, 5414, 9358, 7899, 87625, 10418, 660, 1461, 13, 2650, 1436, 568, 617, 711, 4535, 29070, 2351, 596, 5044, 1093, 430, 30, 1628, 449, 279, 23047, 261, 315, 52947, 315, 682, 1274, 5380, 5176, 14390, 287, 813, 43425, 311, 813, 15489, 11, 568, 65262, 813, 6548, 9495, 323, 37287, 568, 1436, 1304, 813, 4059, 3009, 22019, 13, 7570, 810, 11, 568, 37287, 568, 1436, 1304, 279, 7982, 78831, 304, 813, 4851, 1207, 3002, 13, 2030, 568, 7846, 956, 627, 7189, 2846, 14931, 11, 29070, 2351, 10246, 18820, 295, 30831, 1077, 1450, 311, 279, 6134, 11, 719, 35595, 1603, 436, 3713, 1077, 1168, 84796, 2403, 433, 13, 15469, 2643, 1633, 1664, 1390, 311, 387, 2163, 7636, 13, 16782, 11, 279, 1427, 389, 15469, 596, 3663, 439, 568, 2163, 279, 30343, 10637, 3309, 1077, 568, 2643, 1205, 264, 4333, 627, 50, 447, 3329, 1077, 28004, 11, 54765, 3952, 264, 5655, 11745, 11, 323, 33085, 389, 279, 6134, 627, 6153, 264, 5743, 6622, 11, 1364, 5616, 6755, 813, 43787, 10052, 13, 330, 29951, 304, 10246, 8100, 6656, 279, 656, 672, 56123, 323, 15753, 279, 6134, 63018, 627, 1, 19182, 1210, 3005, 44865, 1461, 57150, 627, 4054, 1427, 520, 1461, 323, 1077, 4747, 14264, 5899, 20557, 13, 1283, 574, 824, 2454, 389, 279, 3185, 315, 813, 4950, 11, 4560, 311, 35840, 430, 568, 5828, 956, 50739, 13, 2030, 11, 813, 15447, 1051, 14322, 50185, 11, 323, 813, 29247, 1051, 10284, 14425, 11059, 11, 323, 813, 6548, 7111, 1384, 3725, 281, 30977, 323, 2579, 627, 72059, 527, 499, 8430, 7673, 54765, 4691, 13, 1102, 5828, 956, 7041, 279, 1455, 20333, 10054, 65221, 11, 719, 1364, 574, 16026, 433, 1053, 387, 3403, 311, 1825, 1461, 709, 627, 11649, 11, 779, 1790, 369, 430, 627, 1, 11787, 499, 7673, 3005, 6818, 1578, 627, 58841, 0, 1442, 499, 2351, 18290, 922, 279, 6372, 315, 279, 423, 867, 337, 11, 433, 596, 539, 687, 425, 788, 10246, 18820, 295, 53914, 13, 330, 40, 1440, 13, 2030, 11, 358, 5828, 956, 10371, 439, 701, 10896, 11, 15469, 13, 358, 574, 10371, 439, 701, 4333, 10246, 55005, 21908, 15469, 9508, 311, 387, 520, 264, 4814, 369, 4339, 627, 18820, 295, 53914, 63018, 398, 13, 10926, 420, 1047, 1027, 264, 3958, 4623, 13, 3005, 28129, 279, 3130, 323, 16006, 8046, 7731, 389, 279, 6964, 315, 813, 4950, 13, 330, 39814, 11, 15469, 13, 358, 1440, 420, 706, 1027, 2653, 389, 499, 13, 2030, 422, 499, 1205, 311, 3137, 11, 358, 2846, 2744, 1618, 369, 499, 11, 17339, 48469, 41686, 6688, 1077, 264, 4376, 70395, 15648, 13, 330, 12947, 11, 54765, 10246, 18820, 295, 14980, 709, 323, 6656, 311, 733, 11, 719, 264, 37628, 3252, 3488, 304, 279, 1203, 315, 1077, 4059, 1903, 1077, 18579, 520, 813, 6134, 13, 6385, 4851, 574, 70627, 11, 719, 1364, 4460, 311, 1440, 279, 4320, 627, 18820, 295, 23803, 1077, 28691, 13, 39813, 35734, 1550, 499, 2019, 1595, 2201, 6, 994, 6706, 6, 969, 4691, 422, 499, 7020, 1855, 1023, 1664, 48469, 3947, 13, 3005, 4265, 1071, 433, 627, 41686, 596, 36496, 30073, 505, 279, 6558, 709, 311, 54765, 596, 6548, 11, 323, 1203, 1523, 1578, 13, 1789, 264, 4545, 568, 574, 21737, 323, 54765, 6137, 311, 5895, 422, 568, 574, 2133, 311, 4320, 627, 1, 18433, 584, 3287, 956, 1210, 1283, 19089, 5042, 627, 18820, 295, 596, 61225, 65330, 304, 22047, 13, 3639, 574, 430, 10171, 311, 3152, 5380, 41686, 53914, 13, 330, 83224, 439, 1268, 6706, 6, 969, 6656, 704, 311, 387, 1131, 9336, 11, 499, 1440, 1131, 358, 14224, 3287, 956, 1440, 1077, 1633, 1664, 520, 682, 13, 2468, 3325, 11, 539, 1093, 358, 1440, 8388, 11, 477, 499, 11, 477, 31538, 1, 63416, 2351, 1210, 54765, 17665, 30666, 627, 41686, 8036, 813, 6548, 323, 36065, 50494, 627, 7189, 649, 956, 4510, 430, 358, 21908, 568, 97171, 1022, 304, 264, 35955, 627, 18820, 295, 596, 4851, 14760, 369, 1461, 439, 1364, 5602, 279, 6784, 323, 34951, 42852, 304, 813, 6548, 13, 14727, 14630, 3210, 11, 1364, 28129, 279, 3130, 323, 20037, 1461, 264, 30884, 627, 22336, 2643, 2733, 2731, 422, 499, 3137, 922, 433, 1210, 54765, 12090, 11, 23062, 704, 315, 279, 30884, 311, 1427, 1461, 304, 279, 8071, 627, 41686, 2751, 709, 505, 279, 4950, 323, 6137, 83240, 2212, 279, 3130, 74884, 13610, 11, 330, 40, 59334, 1077, 11, 54765, 10246, 8100, 4265, 25720, 439, 1790, 11, 719, 2103, 11, 54765, 596, 4851, 93124, 2403, 1077, 15489, 520, 813, 58473, 13, 2360, 5895, 15469, 574, 779, 23268, 449, 5678, 13, 29070, 2351, 2643, 3077, 1027, 8208, 369, 2380, 1667, 11, 719, 1077, 32079, 574, 5762, 1193, 1566, 2305, 627, 1, 63416, 2351, 574, 856, 7555, 13, 358, 65397, 1077, 11, 54765, 0, 358, 10456, 1077, 0, 2650, 1436, 358, 656, 430, 311, 1077, 30, 358, 1436, 358, 10894, 1077, 779, 6847, 30, 1628, 449, 7228, 64, 315, 682, 1274, 25765, 1, 41686, 1359, 54765, 1071, 57150, 11, 16026, 311, 19858, 1461, 1523, 13, 330, 2675, 3358, 2744, 3021, 29070, 2351, 13, 3005, 596, 264, 961, 315, 499, 1210, 54765, 35595, 439, 1364, 15746, 15469, 3009, 83240, 11, 323, 46943, 520, 279, 6558, 13, 330, 3112, 7344, 6706, 6, 969, 5828, 956, 279, 353, 16241, 9, 5873, 11, 719, 430, 596, 539, 701, 14867, 13, 2360, 832, 7020, 279, 8206, 922, 6706, 6, 969, 482, 2737, 11937, 13, 21663, 1648, 11, 499, 649, 956, 3974, 304, 279, 3347, 10246, 7189, 1440, 1210, 15469, 1071, 11, 9204, 813, 9358, 24408, 555, 1207, 444, 71888, 9160, 28075, 279, 14497, 315, 813, 19689, 627, 22336, 1427, 1093, 499, 1436, 1005, 1063, 2800, 1210, 54765, 13468, 627, 18820, 295, 2751, 709, 323, 7882, 7119, 279, 6134, 13, 330, 2746, 2574, 1047, 7077, 279, 1023, 1648, 2212, 11, 1053, 499, 617, 4934, 29070, 2351, 311, 8493, 279, 2800, 315, 1077, 2324, 7636, 48469, 41686, 53914, 1359, 1131, 9336, 11, 912, 10246, 18820, 295, 9107, 279, 6134, 11 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 4599, 499, 527, 53327, 264, 220, 20, 11, 220, 605, 11, 220, 868, 11, 220, 508, 11, 220, 966, 477, 220, 1272, 20085, 28550, 11, 499, 1390, 264, 2883, 499, 649, 7095, 449, 7729, 430, 1304, 499, 15648, 13, 21335, 603, 264, 1650, 3432, 323, 1518, 279, 6811, 584, 649, 1304, 304, 701, 1828, 8246, 477, 4335, 704, 2447, 627, 61346, 3041, 603, 264, 1650, 323, 584, 690, 1520, 499, 7216, 704, 701, 28550, 19160, 3966, 627, 8140, 99576, 6118, 733, 704, 1890, 11477, 477, 1828, 11477, 11911, 389, 994, 499, 1650, 627, 1687, 3493, 1948, 78611, 2532, 11, 1418, 2133, 4228, 389, 701, 5740, 1584, 13, 3639, 810, 1436, 499, 2610, 369, 5380, 8140, 16572, 20197, 527, 1618, 311, 3041, 499, 264, 5043, 323, 47947, 12862, 3217, 505, 1212, 311, 6381, 627, 12805, 499, 527, 2884, 11, 5042, 3041, 603, 264, 1650, 323, 584, 690, 636, 701, 28550, 13061, 709, 1314, 3201, 4999, 8140, 5687, 374, 1618, 311, 1520, 15716, 499, 1205, 433, 13, 29524, 3820, 709, 279, 4641, 323, 3041, 603, 264, 1650, 627, 13622, 9919, 477, 59589, 656, 539, 617, 1690, 14640, 9002, 28550, 19160, 439, 1317, 439, 499, 2567, 279, 28550, 11622, 389, 701, 1866, 3424, 2391, 279, 19160, 4261, 13, 1442, 499, 1205, 311, 2035, 701, 5593, 389, 279, 8761, 304, 904, 1648, 11, 499, 690, 4461, 617, 311, 6994, 264, 11810, 505, 279, 8475, 4857, 11810, 5274, 304, 701, 6424, 13, 1472, 649, 1817, 449, 701, 2254, 586, 4375, 9476, 311, 387, 2771, 627, 13622, 21069, 869, 28550, 19160, 5220, 690, 1935, 2512, 315, 41577, 420, 11810, 369, 499, 422, 499, 8175, 505, 1124, 13, 7557, 2771, 430, 422, 499, 3207, 9293, 311, 2231, 279, 28550, 389, 279, 8761, 11, 279, 2883, 706, 1903, 279, 8475, 28904, 13, 1472, 1288, 1101, 6106, 430, 499, 636, 279, 11810, 304, 264, 32100, 11827, 323, 520, 279, 4495, 2853, 13, 1442, 499, 3463, 279, 28550, 2883, 574, 3794, 264, 11810, 323, 814, 1550, 539, 11, 499, 690, 387, 279, 832, 889, 690, 617, 311, 2343, 279, 7060, 430, 374, 11136, 555, 279, 11527, 627, 7009, 617, 499, 279, 1888, 1749, 311, 28490, 20451, 11742, 304, 5369, 311, 12571, 7384, 3345, 311, 279, 8246, 6732, 13, 4314, 5220, 37938, 1520, 499, 304, 40599, 29948, 4038, 11, 11660, 33155, 323, 1023, 2536, 60272, 6310, 481, 2571, 3201, 505, 279, 14048, 3158, 323, 1202, 4040, 12818, 13, 1115, 1648, 11, 499, 649, 6847, 10519, 4676, 1633, 29585, 323, 4335, 627, 2675, 3358, 387, 3025, 311, 5268, 832, 28550, 369, 682, 701, 19160, 3966, 13, 578, 2294, 3245, 922, 420, 374, 499, 656, 539, 617, 311, 9678, 279, 3673, 11, 3508, 433, 596, 9168, 11, 9699, 11, 7732, 11, 323, 304, 1690, 5157, 9235, 16836, 13, 1952, 279, 1023, 1450, 11, 387, 8010, 315, 701, 1866, 69187, 82, 14640, 2533, 1070, 527, 1063, 430, 690, 9067, 1120, 1268, 1790, 323, 4595, 9002, 23701, 430, 1436, 387, 49373, 13, 2684, 527, 1101, 1063, 430, 1390, 9145, 3252, 9002, 490, 14380, 323, 13399, 1113, 279, 92465, 4893, 13, 53466, 11, 433, 374, 8831, 311, 1005, 4500, 11443, 315, 264, 44364, 304, 21069, 869, 11, 36095, 2533, 499, 1205, 539, 9145, 701, 1866, 490, 14380, 477, 1524, 9678, 279, 92465, 4893, 627, 2675, 1436, 1866, 32729, 304, 24899, 11, 13286, 11, 477, 1524, 6652, 11162, 323, 499, 3358, 1390, 311, 7142, 66583, 25402, 99576, 311, 8175, 13, 2360, 5030, 1405, 304, 279, 1917, 499, 48383, 264, 28550, 690, 7945, 499, 311, 2567, 701, 3465, 7366, 627, 8607, 315, 603, 527, 53184, 311, 3794, 1057, 5410, 23701, 704, 369, 1855, 2046, 30686, 11, 8830, 430, 6118, 4375, 1120, 7060, 13, 4452, 11, 1457, 323, 1578, 11, 499, 1205, 311, 636, 8208, 3738, 11822, 477, 20155, 315, 26964, 430, 527, 539, 1314, 369, 279, 5912, 23701, 13, 763, 1521, 4787, 11, 832, 315, 279, 1455, 31439, 2671, 374, 2744, 311, 8175, 264, 28550, 779, 430, 499, 649, 2571, 704, 1148, 499, 1205, 311, 11, 994, 499, 1205, 311, 13, 13440, 499, 1205, 9463, 315, 35098, 4669, 264, 29948, 99546, 1646, 4335, 704, 11, 6062, 499, 1205, 264, 15062, 3072, 369, 13490, 3544, 477, 1524, 15375, 823, 88, 11822, 11, 99576, 3493, 58219, 11, 25152, 11, 304, 5369, 311, 31638, 369, 682, 701, 23701, 6944, 627, 791, 1176, 3245, 499, 1288, 656, 374, 8417, 1148, 1376, 499, 690, 1205, 13, 3011, 14918, 17610, 315, 26679, 279, 1404, 323, 1742, 439, 499, 617, 6305, 430, 527, 439, 2678, 439, 220, 20, 1203, 14006, 682, 279, 1648, 704, 311, 3544, 220, 1272, 20085, 6305, 13, 8442, 499, 1440, 279, 3392, 12571, 499, 2643, 617, 323, 1148, 19179, 499, 690, 1205, 13, 1102, 9615, 374, 315, 3388, 3117, 2731, 311, 927, 41230, 1109, 1935, 2288, 34504, 627, 47916, 7626, 499, 10491, 311, 733, 3871, 449, 11, 1304, 2771, 1070, 596, 1063, 955, 315, 44701, 389, 872, 2068, 13, 1115, 1436, 387, 279, 3300, 1203, 15803, 994, 814, 1541, 956, 3085, 477, 3820, 709, 389, 892, 477, 1524, 433, 1436, 387, 264, 15803, 430, 279, 28550, 264, 1732, 11713, 690, 3412, 264, 3738, 3392, 315, 23701, 13, 578, 1888, 2068, 5226, 690, 4762, 16343, 279, 1403, 315, 1521, 17357, 13, 4343, 449, 264, 2626, 18740, 449, 420, 323, 1304, 2771, 61913, 527, 11944, 304, 279, 2068, 9306, 627, 2409, 682, 279, 19679, 315, 279, 28550, 2532, 7902, 1314, 311, 701, 6134, 11, 701, 2162, 690, 387, 2731, 1109, 814, 617, 304, 1667, 13, 4452, 279, 22934, 315, 264, 4335, 11, 653, 566, 6339, 291, 22423, 733, 1664, 3347, 17983, 1427, 7636, 13, 25531, 9463, 315, 682, 315, 430, 41548, 9622, 505, 701, 4676, 1253, 3604, 1520, 311, 3493, 264, 8430, 315, 19858, 13, 2876, 1193, 690, 499, 18979, 701, 1938, 4791, 11477, 8631, 5990, 11, 4869, 499, 3358, 49715, 2867, 315, 279, 2890, 52642, 304, 5369, 311, 44885, 4787, 430, 649, 2586, 709, 505, 653, 18883, 40190, 627, 6153, 499, 7782, 279, 3673, 311, 636, 701, 56719, 287, 3940, 389, 701, 1866, 44277, 2162, 11, 6920, 389, 323, 2571, 3201, 1475, 832, 315, 279, 15039, 11, 12466, 10827, 15411, 11, 5044, 32183, 11, 5099, 2637, 304, 279, 28550, 499, 617, 22163, 311, 47086, 701, 1866, 44277, 2162, 627, 71251, 279, 5043, 16686, 11, 264, 1396, 315, 11443, 315, 264, 44364, 304, 21069, 869, 5220, 3085, 9888, 3956, 323, 3600, 311, 279, 21426, 26467, 304, 18859, 449, 279, 18539, 13, 1115, 9889, 690, 4762, 387, 2884, 5304, 1176, 5101, 1176, 3493, 8197, 13, 4314, 13124, 315, 5220, 3611, 953, 3674, 24305, 311, 872, 51566, 16472, 16180, 499, 810, 369, 8405, 459, 9250, 2532, 311, 279, 1274, 389, 690, 1205, 520, 459, 60618, 2853, 439, 459, 10778, 311, 7999, 459, 3779, 22786, 315, 872, 2759, 627, 14364, 8712, 311, 2997, 994, 3339, 264, 19160, 374, 26679, 279, 3634, 279, 2035, 430, 279, 5593, 690, 48383, 13, 7874, 398, 520, 264, 3838, 279, 99576, 690, 4762, 387, 743, 389, 420, 53242, 477, 1524, 279, 8761, 13, 1556, 7718, 2144, 311, 6227, 374, 430, 304, 1690, 5789, 264, 11810, 374, 2631, 422, 264, 6462, 374, 9277, 304, 279, 6814, 13, 33391, 6424, 323, 23395, 264, 11810, 1253, 9006, 420, 3230, 11, 477, 3629, 264, 11810, 649, 387, 12673, 1555, 279, 19160, 7626, 13, 578, 3158, 420, 28550, 690, 387, 12504, 1022, 1288, 387, 28822, 315, 904, 5435, 11, 902, 2997, 25, 1633, 3428, 21078, 15919, 5238, 11, 5021, 37601, 11, 70255, 439, 1664, 439, 38826, 95064, 5015, 627, 4213, 23771, 5938, 449, 279, 11443, 315, 264, 44364, 304, 21069, 869, 21390, 11, 889, 97689, 279, 6130, 304, 12178, 922, 279, 3956, 902, 649, 387, 2751, 9463, 315, 1139, 264, 28550, 11, 7194, 315, 279, 11443, 315, 264, 44364, 304, 21069, 869, 304, 5369, 311, 3878, 323, 4787, 505, 279, 34545, 13, 3277, 499, 527, 3794, 5938, 449, 264, 7626, 430, 649, 3085, 4367, 3956, 323, 3600, 520, 60618, 2853, 11, 499, 3358, 13383, 430, 62024, 17065, 5304, 9954, 315, 990, 574, 2646, 420, 3230, 4228, 323, 420, 3230, 17049, 627, 4599, 499, 1390, 701, 19160, 28550, 3984, 323, 50087, 7018, 892, 11, 4686, 264, 2766, 315, 3495, 311, 1505, 264, 4367, 7626, 13, 1472, 3358, 1101, 1935, 9610, 315, 4333, 5741, 3600, 11, 2731, 7194, 323, 810, 25152, 311, 3449, 701, 1866, 18651, 13, 6104, 499, 2351, 13326, 68337, 701, 50555, 26255, 11, 656, 499, 2216, 12876, 311, 923, 3779, 8631, 30, 9479, 11, 3131, 499, 636, 701, 1866, 28550, 11, 1304, 2771, 430, 279, 4595, 315, 7384, 499, 527, 48897, 527, 12054, 555, 279, 57918, 701, 3838, 374, 304, 13, 1472, 5042, 649, 956, 28490, 315, 1344, 100210, 477, 41273, 7384, 439, 1664, 439, 31800, 304, 5369, 311, 34802, 2949, 701, 28550, 13, 1472, 649, 636, 13471, 449, 264, 2294, 422, 499, 2035, 12079, 6956, 304, 701, 28550, 13, 53123, 11, 1505, 704, 1148, 279, 16565, 527, 922, 1148, 499, 649, 323, 1288, 539, 2571, 3201, 1603, 6041, 701, 2447, 627, 3112, 5616, 11, 279, 1005, 315, 279, 2532, 1053, 39022, 2187, 499, 311, 4822, 2867, 315, 3515, 264, 4156, 37839, 6799, 449, 23701, 11, 304, 279, 3388, 315, 70430, 13, 12522, 499, 3596, 3970, 279, 6522, 20085, 16239, 4423, 596, 14048, 10409, 449, 32169, 7437, 11, 32720, 704, 7147, 11, 37248, 323, 41626, 28954, 11, 24059, 1023, 2574, 30, 10926, 11, 499, 3077, 10534, 420, 3230, 6261, 13, 9393, 499, 3868, 369, 279, 26964, 30686, 11092, 311, 17782, 11, 499, 690, 387, 16026, 1070, 596, 912, 35507, 9282, 4787, 430, 690, 5101, 1555, 304, 5369, 311, 3351, 420, 35098, 311, 279, 6522, 14006, 16239, 1063, 315, 701, 4885, 439, 1664, 439, 311, 279, 8761, 13, 1115, 2216, 374, 46041, 1113, 3871, 449, 45105, 627, 52156, 3751, 7286, 374, 389, 279, 3566, 6638, 3201, 5593, 19160, 21390, 3196, 304, 7427, 37048, 369, 420, 6130, 2960, 2265, 3600, 6957, 279, 7140, 13, 578, 1217, 36387, 6319, 3997, 3727, 499, 13123, 430, 279, 5216, 2269, 4049, 1314, 505, 279, 1212, 505, 279, 3568, 311, 9954, 315, 279, 3568, 706, 2646, 1027, 420, 66637, 14040, 6931, 13, 1115, 91749, 315, 3956, 16239, 44364, 2167, 13592, 505, 220, 605, 14006, 311, 86043, 4330, 20085, 28550, 8405, 904, 3169, 315, 32961, 4184, 311, 2587, 1903, 3966, 505, 279, 6130, 627, 2746, 499, 3974, 4871, 459, 2362, 8961, 3838, 499, 1440, 430, 279, 4040, 9439, 649, 7995, 513, 752, 1555, 279, 14620, 439, 1664, 439, 279, 2362, 11276, 13, 1472, 1390, 311, 47086, 701, 2362, 8961, 3838, 719, 499, 1053, 1093, 311, 2567, 279, 33464, 13989, 13, 1102, 374, 3284, 311, 47086, 701, 1510, 83408, 1701, 502, 3956, 430, 649, 7945, 499, 3665, 3300, 304, 279, 1317, 1629, 627, 20397, 279, 1940, 3447, 11, 1070, 374, 279, 6140, 430, 279, 18147, 94138, 11443, 315, 264, 44364, 304, 21069, 869, 11, 36095, 374, 2133, 311, 15673, 1063, 61699, 4920, 13, 1102, 2216, 374, 4661, 45207, 11, 994, 499, 636, 311, 279, 42834, 13, 578, 1888, 1648, 311, 3009, 1884, 61699, 505, 3794, 311, 387, 16781, 320, 438, 11646, 8, 5674, 311, 701, 1510, 37125, 477, 7344, 53242, 374, 2744, 311, 1304, 2771, 279, 28550, 5900, 304, 264, 7858, 1405, 832, 649, 2559, 6968, 264, 2478, 1156, 33668, 323, 65822, 2163, 4920, 13, 1472, 1253, 1505, 6261, 3515, 311, 40320, 264, 2697, 19662, 311, 636, 9463, 315, 701, 23701, 11, 719, 433, 3358, 387, 5922, 433, 1306, 499, 1541, 956, 617, 311, 1817, 704, 28360, 11, 1933, 1752, 1940, 3447, 304, 701, 20085, 369, 2478, 4038, 311, 264, 43438, 1306, 499, 4686, 701, 2162, 4442, 627, 3947, 374, 912, 4360, 264, 28550, 374, 38631, 5995, 304, 264, 2683, 3997, 369, 12571, 17065, 11, 323, 814, 527, 10671, 810, 29546, 33705, 1109, 3596, 1603, 11, 323, 279, 19160, 27767, 690, 4546, 279, 4040, 28550, 11, 4384, 433, 994, 433, 374, 4686, 11, 323, 2586, 1203, 449, 264, 4335, 832, 13, 1666, 264, 1121, 279, 53459, 990, 1790, 810, 4382, 323, 3025, 311, 67638, 279, 4857, 961, 315, 279, 2447, 11, 304, 13168, 311, 10374, 892, 439, 1664, 439, 4907, 311, 2567, 4819, 58905, 449, 279, 2683, 3997, 627, 8238, 2771, 499, 527, 7995, 539, 21939, 704, 2555, 430, 279, 19160, 28550, 27767, 1587, 539, 1095, 13, 15483, 2574, 649, 387, 20451, 323, 420, 374, 5042, 311, 6144, 279, 11761, 11, 279, 1274, 430, 990, 520, 279, 28550, 27767, 323, 11000, 433, 374, 1524, 279, 19812, 315, 279, 2035, 499, 3974 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 23274, 3216, 39693, 198, 15724, 5084, 311, 387, 832, 315, 1884, 2919, 994, 4395, 5097, 2380, 3115, 5129, 1109, 433, 1288, 13, 358, 3987, 499, 1051, 3025, 311, 636, 1555, 701, 311, 30659, 1160, 2731, 1109, 358, 1550, 627, 1131, 1354, 79863, 84558, 315, 10082, 198, 25335, 11, 9908, 11, 35488, 345, 14789, 24826, 11, 323, 4917, 24366, 19031, 627, 2028, 19961, 596, 5513, 315, 25074, 512, 2746, 499, 1390, 264, 35649, 220, 679, 17, 35907, 11, 499, 690, 1205, 311, 2015, 433, 5246, 13, 1952, 6287, 220, 2148, 267, 11, 584, 690, 3009, 10209, 279, 35649, 220, 679, 17, 6193, 5182, 13, 1472, 690, 2103, 387, 3025, 311, 1373, 279, 1949, 14281, 11028, 389, 1057, 3997, 323, 499, 690, 2103, 387, 3025, 311, 2015, 35649, 220, 679, 18, 6193, 5182, 627, 791, 6250, 15438, 51165, 690, 387, 3288, 704, 311, 279, 31120, 323, 8621, 311, 279, 3997, 16986, 17146, 7192, 13, 5810, 527, 279, 7902, 9522, 51, 43613, 6250, 220, 679, 17, 15083, 63753, 198, 96140, 6729, 6250, 220, 679, 17, 15083, 63753, 198, 34, 11967, 6250, 220, 679, 17, 15083, 63753, 198, 99767, 6250, 220, 679, 17, 15083, 63753, 198, 50135, 3427, 6250, 220, 679, 17, 15083, 63753, 198, 9374, 969, 6250, 220, 679, 17, 15083, 63753, 198, 3407, 269, 12183, 6250, 220, 679, 17, 15083, 63753, 198, 50, 351, 1468, 41321, 6250, 220, 679, 17, 15083, 63753, 198, 13199, 2265, 1540, 6250, 220, 679, 17, 15083, 63753, 198, 92313, 41321, 6250, 220, 679, 17, 15083, 63753, 198, 47, 285, 1634, 6250, 220, 679, 17, 15083, 63753, 198, 2746, 279, 502, 4917, 24366, 19031, 656, 539, 1501, 709, 11, 4587, 4299, 389, 279, 1054, 17611, 863, 3215, 2949, 701, 7074, 627, 2460, 315, 279, 220, 679, 18, 15438, 4917, 24366, 19031, 617, 1027, 5439, 1198, 430, 374, 220, 717, 2204, 15438, 51165, 320, 33327, 1555, 6790, 8, 369, 1855, 315, 279, 220, 717, 2204, 1167, 57986, 12195, 13, 4314, 15438, 51165, 3235, 449, 872, 12435, 45370, 24131, 617, 1027, 20276, 323, 6656, 1139, 86831, 323, 11612, 89002, 9522, 51, 43613, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 96140, 6729, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 34, 11967, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 99767, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 50135, 3427, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 9374, 969, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 3407, 269, 12183, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 50, 351, 1468, 41321, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 13199, 2265, 1540, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 92313, 41321, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 47, 285, 1634, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 644, 5369, 311, 3794, 1124, 505, 1057, 3997, 11, 499, 649, 1101, 636, 1124, 6089, 505, 1057, 36717, 2288, 9522, 43, 25415, 25, 70232, 6603, 198, 2746, 682, 5900, 1664, 814, 690, 5246, 387, 2561, 389, 8339, 2288, 4999, 791, 220, 679, 18, 45370, 4917, 24366, 19031, 617, 1027, 8621, 311, 279, 3997, 13, 5810, 527, 279, 7902, 9522, 51, 43613, 220, 679, 18, 9941, 398, 15083, 63753, 198, 96140, 6729, 220, 679, 18, 9941, 398, 15083, 63753, 198, 34, 11967, 220, 679, 18, 9941, 398, 15083, 63753, 198, 99767, 220, 679, 18, 9941, 398, 15083, 63753, 198, 50135, 3427, 220, 679, 18, 9941, 398, 15083, 63753, 198, 9374, 969, 220, 679, 18, 9941, 398, 15083, 63753, 198, 3407, 269, 12183, 220, 679, 18, 9941, 398, 15083, 63753, 198, 50, 351, 1468, 41321, 220, 679, 18, 9941, 398, 15083, 63753, 198, 13199, 2265, 1540, 220, 679, 18, 9941, 398, 15083, 63753, 198, 92313, 41321, 220, 679, 18, 9941, 398, 15083, 63753, 198, 47, 285, 1634, 220, 679, 18, 9941, 398, 15083, 63753, 198, 35127, 1534, 11028, 315, 279, 220, 679, 18, 6193, 5182, 527, 1101, 2561, 9522, 2244, 422, 279, 1403, 315, 499, 527, 18641, 9522, 2244, 1148, 596, 5108, 709, 2212, 279, 1828, 37920, 304, 279, 5754, 4999, 10445, 3234, 358, 13969, 85299, 304, 10919, 3161, 279, 41856, 9029, 5380, 2127, 65229, 31356, 13002, 311, 43897, 10919, 323, 5843, 9469, 4289, 1219, 857, 919, 2200, 198, 56441, 279, 37456, 34307, 292, 198, 4599, 2052, 19334, 435, 6341, 11, 7531, 4718, 18449, 596, 19508, 323, 11070, 9928, 1126, 4999, 644, 50177, 1697, 29461, 1789, 25531, 24561, 13266, 21882, 3277, 12334, 65057, 2057, 2893, 35971, 10291, 198, 28615, 1238, 25, 8940, 13797, 477, 9925, 39370, 5380, 15546, 374, 4923, 9188, 11355, 5380, 47048, 68, 11355, 374, 279, 12432, 315, 56096, 596, 10564, 11, 459, 8191, 7808, 304, 34147, 84558, 315, 10082, 13, 6385, 6603, 11, 9908, 11, 323, 47804, 31356, 51165, 617, 14948, 1274, 315, 682, 17051, 323, 10082, 82, 311, 312, 17869, 5694, 311, 279, 33436, 315, 23871, 13, 2057, 1373, 810, 315, 1077, 9908, 11, 57249, 315, 1077, 6603, 11, 323, 1077, 91947, 51165, 11, 733, 311, 8604, 844, 121827, 1849, 11918, 5181, 13, 2057, 1373, 810, 922, 4923, 9188, 323, 311, 1373, 39104, 315, 420, 1949, 17496, 20846, 11, 733, 311, 8604, 815, 8050, 68, 42493, 916, 627, 47048, 68, 11355, 64737, 198, 20031, 315, 279, 10563, 512, 40234, 374, 539, 279, 21973, 315, 264, 281, 607, 11, 719, 279, 18186, 315, 264, 4027, 13, 482, 12656, 38325, 32269, 1900, 11, 18088, 14128, 295, 323, 80210, 266, 380, 198, 47493, 23941, 82, 505, 834, 817, 26, 3090, 33291, 1202, 53500, 505, 54363, 367, 1131, 1524, 779, 1587, 304, 1335, 35735, 279, 56022, 315, 279, 4059, 13, 482, 66486, 3067, 97866, 198, 37132, 701, 892, 304, 18899, 6261, 555, 1023, 3026, 596, 43422, 779, 430, 499, 4985, 2586, 6847, 555, 1148, 3885, 617, 10278, 3093, 2653, 369, 13, 482, 328, 78046, 198, 14180, 13659, 315, 279, 10563, 512, 3923, 374, 279, 6811, 1990, 659, 1824, 1018, 42914, 323, 659, 66104, 2136, 30, 2684, 374, 779, 1790, 3137, 304, 279, 1917, 922, 21955, 13520, 1120, 279, 1648, 584, 527, 13, 578, 4623, 374, 430, 584, 527, 1855, 4832, 323, 6366, 13, 1102, 5900, 1524, 4726, 311, 2019, 430, 304, 5905, 311, 1057, 4443, 64876, 11, 584, 527, 7041, 1405, 584, 527, 8967, 311, 387, 323, 1070, 374, 912, 1205, 311, 10418, 349, 13520, 369, 539, 1694, 810, 18330, 11, 810, 33142, 11, 810, 81879, 11, 810, 315, 4205, 13, 3092, 4747, 374, 430, 779, 1690, 1274, 1935, 430, 311, 3152, 814, 649, 1243, 2503, 323, 656, 4400, 922, 36351, 904, 315, 872, 659, 72259, 287, 5627, 13, 9029, 1180, 439, 3582, 61708, 264, 26784, 477, 1524, 1701, 279, 1633, 3492, 364, 1517, 675, 6, 374, 279, 1890, 439, 659, 2902, 266, 1171, 323, 374, 2288, 9200, 13, 7566, 11, 1884, 889, 617, 1027, 389, 279, 1853, 315, 659, 21430, 4238, 53061, 369, 264, 1317, 892, 617, 11352, 279, 6811, 11, 719, 358, 1097, 539, 779, 2771, 430, 279, 18254, 13142, 389, 279, 8761, 31869, 279, 1984, 6724, 627, 57813, 6439, 264, 4832, 59045, 1285, 2324, 505, 7342, 311, 279, 25165, 13, 45635, 31889, 323, 584, 6118, 1514, 264, 3560, 304, 6968, 1884, 5435, 369, 13520, 13, 19292, 279, 3575, 374, 430, 584, 527, 539, 1405, 584, 1390, 311, 387, 304, 2324, 13, 1442, 584, 527, 3596, 311, 5155, 4205, 477, 11886, 904, 5435, 11, 584, 2011, 1176, 6958, 1057, 2010, 704, 315, 279, 9462, 323, 25670, 279, 6671, 369, 1148, 433, 374, 13, 12040, 2539, 5708, 315, 13520, 11, 1057, 21463, 11, 1057, 21258, 11, 1057, 35032, 11, 1057, 11774, 11, 1057, 41859, 11, 4395, 13, 3296, 2216, 3411, 520, 13520, 11, 584, 649, 1243, 10491, 1148, 584, 656, 323, 656, 539, 1093, 922, 13520, 13, 5659, 264, 2035, 315, 659, 66104, 2136, 11, 584, 649, 8417, 1148, 374, 10695, 603, 311, 22829, 1057, 9021, 323, 1148, 374, 33994, 603, 13, 3011, 374, 1694, 659, 66104, 627, 12363, 1824, 1018, 42914, 5992, 1633, 4528, 13, 1226, 527, 4737, 15808, 315, 13520, 323, 61853, 6928, 323, 8389, 9382, 311, 1884, 25022, 584, 1505, 2949, 13, 578, 6811, 4131, 304, 279, 1376, 315, 279, 19451, 584, 1005, 1418, 3815, 779, 13, 1442, 584, 527, 50790, 279, 5370, 8365, 11, 5423, 505, 264, 25984, 3177, 11, 1243, 584, 527, 1694, 9200, 4856, 1109, 5042, 1694, 8010, 13, 3277, 584, 527, 1694, 659, 1824, 14849, 11, 584, 527, 539, 21955, 11, 20406, 11, 6463, 45017, 505, 279, 5370, 5540, 315, 13520, 430, 584, 527, 42118, 13, 1226, 527, 1694, 1633, 19971, 278, 323, 83474, 25984, 627, 50344, 1648, 11, 584, 2586, 311, 279, 1890, 17102, 430, 4442, 1205, 311, 1935, 2035, 11, 719, 279, 14604, 10633, 4920, 1124, 374, 1633, 2204, 13, 3861, 2795, 11, 330, 40, 5268, 311, 2349, 1606, 433, 690, 1520, 757, 311, 14794, 279, 2324, 358, 12876, 369, 7182, 13, 358, 1097, 4832, 3508, 358, 2349, 477, 539, 11, 719, 358, 5268, 420, 2349, 1606, 358, 1053, 1093, 311, 22472, 420, 659, 29899, 91955, 7865, 1210, 578, 1023, 2795, 11, 330, 40, 2011, 2349, 1606, 358, 2846, 264, 59991, 323, 912, 1695, 13, 358, 2011, 2349, 1606, 422, 358, 1541, 956, 11, 358, 690, 2646, 387, 264, 13946, 13, 358, 4250, 3021, 7182, 3156, 358, 1097, 264, 13946, 323, 9093, 358, 1097, 539, 28390, 315, 5606, 775, 596, 3021, 3060, 1210, 11995, 315, 1521, 6325, 649, 387, 1633, 8147, 12521, 3046, 11, 719, 279, 11879, 315, 2324, 374, 5107, 323, 17436, 3403, 2085, 3779, 26225, 93795, 311, 433, 627, 8607, 315, 603, 1051, 9408, 311, 387, 659, 1824, 14849, 323, 617, 311, 4048, 1268, 311, 3021, 13520, 13, 578, 5915, 374, 311, 387, 3025, 311, 387, 2225, 659, 66104, 323, 659, 77700, 13, 6104, 4560, 311, 636, 311, 430, 1486, 11, 1070, 374, 6965, 311, 387, 264, 9320, 4261, 13, 12220, 430, 892, 11, 1418, 4737, 15808, 315, 13520, 584, 1205, 311, 1304, 264, 17371, 5149, 311, 7293, 45017, 323, 20406, 13, 63039, 408, 430, 499, 527, 3165, 1197, 505, 7834, 31571, 13, 3234, 539, 15866, 904, 20356, 36734, 311, 279, 5370, 11725, 315, 6928, 323, 8389, 25022, 13, 2435, 5042, 3073, 13, 2435, 527, 1148, 814, 527, 13, 12334, 810, 11, 4400, 2753, 13, 2684, 374, 912, 1205, 311, 11913, 1124, 1695, 477, 14289, 13, 7557, 459, 5149, 311, 74145, 24564, 1148, 374, 13788, 499, 323, 1148, 374, 539, 13, 5112, 1304, 459, 16369, 5597, 439, 311, 1148, 13124, 315, 4442, 499, 1781, 2643, 387, 315, 8935, 311, 701, 3938, 16388, 323, 19226, 13, 38274, 11, 279, 100177, 649, 387, 30073, 7119, 3515, 264, 21955, 20356, 7119, 13520, 2391, 279, 1920, 13, 2030, 369, 43806, 11, 264, 45017, 16865, 690, 2103, 8854, 279, 7580, 315, 3794, 499, 7366, 3235, 7119, 264, 2731, 3938, 2085, 279, 6784, 323, 4851, 1815, 9057, 555, 1694, 9200, 323, 3152, 311, 6261, 1120, 369, 1694, 3823, 627, 791, 1193, 3245, 11201, 1109, 78214, 6261, 10980, 449, 28128, 659, 7716, 2509, 82, 11, 374, 311, 35840, 430, 4400, 374, 5076, 323, 311, 3136, 7366, 1555, 701, 2324, 40916, 279, 1890, 3958, 11704, 927, 323, 927, 1418, 2646, 6975, 505, 1124, 13, 10323, 2427, 19632, 11, 659, 50570, 11, 659, 12, 3342, 1223, 479, 11, 659, 65906, 11, 659, 27578, 588, 682, 3789, 505, 279, 5845, 311, 387, 659, 66104, 2085, 19971, 13, 1666, 1317, 439, 584, 10477, 505, 13520, 323, 656, 539, 3663, 1057, 41859, 2010, 389, 11, 1243, 584, 527, 3339, 264, 5873, 311, 3974, 459, 653, 1285, 7712, 287, 11, 653, 268, 4238, 6901, 2324, 13, 3234, 539, 1935, 279, 45572, 922, 21955, 6261, 1120, 279, 1648, 499, 527, 311, 3152, 430, 499, 4250, 7417, 5304, 701, 17393, 520, 23871, 555, 3339, 1063, 5419, 34074, 13, 3277, 499, 3021, 2555, 11, 499, 79530, 433, 11, 6144, 433, 11, 1520, 433, 311, 3139, 323, 41972, 13, 578, 1890, 1288, 387, 837, 449, 659, 27578, 588, 627, 644, 1694, 10978, 449, 13520, 9002, 889, 323, 1148, 584, 527, 11, 584, 649, 1243, 3240, 3339, 1972, 11709, 430, 617, 264, 1972, 5536, 389, 1057, 3938, 23871, 13, 1226, 649, 10491, 311, 1304, 13987, 34074, 477, 2294, 2466, 2324, 10223, 61086, 311, 13520, 13, 35106, 287, 4737, 264, 1695, 1317, 1427, 520, 6261, 690, 539, 1304, 279, 6332, 315, 889, 499, 527, 323, 1268, 499, 5603, 2324, 636, 904, 2731, 13, 578, 1180, 315, 31526, 659, 44107, 1191, 304, 323, 315, 5196, 24897, 430, 499, 2216, 656, 539, 1518, 6261, 439, 6366, 323, 7041, 1405, 499, 1205, 311, 387, 304 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 91, 806, 13, 508, 13, 2545, 520, 220, 605, 25, 508, 1097, 18241, 7511, 30287, 20661, 7411, 709, 449, 468, 3418, 480, 27620, 55177, 323, 8753, 445, 875, 369, 279, 13558, 315, 18231, 5114, 8935, 520, 279, 68936, 2996, 68, 23435, 627, 91, 806, 13, 508, 13, 2545, 520, 220, 23, 25, 1272, 1097, 18241, 7511, 7009, 3207, 279, 2944, 279, 7997, 312, 15961, 627, 6153, 264, 4140, 220, 22, 4814, 311, 279, 15852, 9670, 279, 58796, 14336, 3280, 1566, 1060, 11, 10406, 4024, 1139, 279, 40972, 449, 264, 2867, 16945, 25, 2175, 19662, 13, 578, 4101, 4814, 311, 279, 15852, 15246, 264, 2867, 23948, 2949, 279, 58796, 2128, 11, 11951, 264, 6996, 315, 8149, 520, 279, 2466, 10093, 13, 10406, 86087, 1139, 279, 40972, 16766, 7561, 16677, 6795, 11, 16351, 59130, 57654, 39956, 323, 1443, 58688, 13926, 311, 3041, 1124, 8149, 520, 279, 2466, 82, 11, 323, 1524, 50030, 2947, 9383, 50635, 311, 923, 2225, 20413, 323, 9232, 1022, 279, 13731, 627, 791, 15852, 15246, 279, 58796, 529, 44667, 13, 578, 15852, 6476, 264, 3682, 3560, 304, 17919, 279, 58796, 311, 19161, 323, 312, 14506, 872, 13731, 11, 323, 1457, 814, 617, 311, 3663, 279, 32236, 814, 9087, 1893, 627, 644, 264, 1790, 12, 93878, 93326, 11, 279, 1403, 7411, 690, 471, 311, 279, 5590, 1405, 814, 2322, 369, 872, 51391, 4140, 220, 22, 1120, 3116, 2875, 4038, 4227, 11, 323, 8530, 1063, 690, 1684, 420, 439, 264, 6140, 311, 1212, 52945, 264, 5573, 627, 4897, 1694, 1071, 11, 520, 420, 1486, 304, 279, 3280, 11, 264, 2763, 706, 5614, 1990, 279, 1403, 7411, 13, 1789, 10406, 11, 1070, 527, 279, 46752, 4442, 311, 279, 13731, 323, 279, 471, 311, 2890, 315, 16768, 65132, 7211, 13, 26982, 304, 28944, 11, 473, 66981, 21187, 540, 10036, 374, 704, 11, 56232, 25581, 374, 304, 11, 323, 93188, 261, 27562, 374, 1203, 389, 279, 28745, 13, 4557, 279, 2800, 315, 420, 4441, 125341, 91, 806, 13, 777, 13, 2545, 520, 220, 605, 25, 1627, 9012, 18241, 7511, 1548, 1047, 311, 3821, 505, 279, 13731, 439, 813, 32746, 5675, 4140, 220, 22, 315, 279, 18516, 15217, 66600, 24624, 627, 10378, 574, 510, 83, 19011, 60, 1022, 13, 29308, 1120, 510, 83, 19011, 60, 1022, 2476, 65132, 7211, 16584, 2768, 7950, 753, 6725, 627, 10378, 4344, 539, 264, 50739, 1732, 2476, 65132, 7211, 8738, 13, 1054, 40, 4344, 1120, 3411, 4741, 311, 5737, 1124, 13, 36530, 11, 814, 3207, 6646, 832, 315, 279, 1888, 7411, 13, 358, 4344, 2771, 584, 3207, 2133, 311, 4478, 13520, 323, 12239, 13520, 389, 430, 323, 1456, 311, 1514, 2731, 13, 1226, 3207, 264, 2128, 430, 753, 4560, 311, 636, 2731, 779, 433, 1288, 387, 264, 2523, 1847, 49216, 791, 15852, 527, 17791, 449, 279, 58796, 449, 264, 220, 24, 12, 18, 11, 1120, 4920, 20005, 369, 4216, 31300, 65503, 304, 279, 6460, 627, 17818, 4805, 387, 6555, 311, 636, 311, 1514, 1124, 2476, 2010, 7395, 22452, 36739, 1071, 13, 1054, 7009, 3207, 279, 2128, 5127, 374, 43931, 304, 279, 6460, 13, 2435, 2834, 279, 22279, 315, 279, 6460, 1566, 1060, 13, 1666, 3117, 439, 584, 3207, 11920, 11, 814, 3207, 279, 7075, 11, 24372, 753, 279, 2132, 7075, 323, 584, 3207, 279, 4948, 11, 3196, 389, 279, 3135, 315, 1566, 1060, 13, 1102, 4805, 387, 1695, 311, 1518, 1405, 584, 3207, 520, 2029, 4557, 279, 2800, 315, 420, 4441, 125341, 91, 806, 13, 777, 13, 2545, 520, 220, 19, 25, 1721, 9012, 18241, 7511, 34, 3903, 1233, 4741, 16768, 65132, 7211, 11096, 279, 37828, 612, 16071, 3258, 7073, 389, 7950, 13, 578, 58796, 6917, 14407, 813, 2890, 11, 279, 8815, 315, 13758, 505, 11134, 11, 279, 5536, 315, 59130, 57654, 39956, 389, 279, 58796, 323, 279, 1614, 315, 420, 3280, 753, 2128, 627, 97406, 527, 1380, 17890, 3770, 13, 2057, 9020, 311, 279, 4686, 7274, 11, 4299, 1618, 627, 5966, 2046, 59130, 57654, 39956, 1071, 568, 2643, 539, 617, 459, 4994, 2134, 13, 3639, 753, 18821, 11, 220, 2075, 34303, 295, 5380, 11649, 11, 422, 499, 1390, 311, 1935, 430, 6689, 1566, 3814, 11, 4762, 922, 220, 1490, 311, 220, 2075, 34303, 295, 11, 22371, 11, 430, 753, 922, 13687, 11, 22371, 627, 2675, 2663, 433, 304, 279, 3805, 3287, 1431, 499, 5380, 40, 2663, 433, 994, 358, 1095, 433, 733, 11, 323, 1243, 4418, 27562, 3460, 315, 1071, 2555, 311, 757, 13, 3011, 753, 3249, 856, 13010, 574, 279, 1648, 433, 574, 11, 1606, 358, 7020, 994, 358, 1095, 433, 733, 11, 433, 6612, 1695, 11, 719, 499, 2646, 1440, 304, 1884, 15082, 13, 358, 1095, 433, 733, 11, 433, 6612, 1695, 11, 297, 2319, 11, 4024, 304, 627, 40, 4344, 20910, 422, 8850, 374, 279, 1314, 3492, 311, 1005, 994, 499, 1047, 264, 3682, 11134, 369, 279, 1176, 892, 304, 701, 7076, 13, 3277, 499, 3287, 1431, 1440, 1148, 574, 2133, 389, 11, 1051, 499, 63757, 520, 682, 922, 1148, 574, 2133, 389, 304, 1070, 5380, 40, 8850, 4359, 323, 358, 8850, 856, 6691, 11, 430, 753, 922, 279, 1193, 3245, 304, 2324, 11, 1023, 1109, 430, 433, 574, 1120, 7833, 709, 6784, 13, 2468, 832, 1486, 358, 3463, 433, 574, 2555, 430, 358, 1436, 1514, 1555, 11, 358, 7020, 994, 358, 2751, 2162, 323, 994, 358, 574, 304, 856, 1866, 4443, 3634, 11, 430, 753, 994, 358, 7020, 433, 574, 2555, 6129, 13, 40155, 709, 7504, 11, 11961, 1523, 11, 35744, 704, 389, 279, 6558, 11, 41398, 704, 389, 279, 6558, 11, 856, 2531, 574, 15320, 91259, 757, 627, 3112, 499, 3207, 7556, 922, 264, 2763, 315, 5820, 11, 779, 994, 358, 2216, 3940, 311, 1935, 433, 6129, 323, 279, 810, 358, 2751, 33142, 389, 1148, 574, 2133, 389, 11, 430, 753, 994, 358, 3940, 311, 1304, 11429, 2890, 24219, 11, 1148, 574, 1888, 369, 757, 13, 358, 574, 4401, 1093, 358, 574, 4401, 449, 264, 31787, 2531, 11, 323, 22452, 304, 6725, 574, 1093, 11, 420, 374, 17936, 311, 3821, 13, 3092, 5149, 11, 358, 5128, 1790, 1555, 574, 1070, 11, 358, 6818, 311, 2586, 1203, 11, 1514, 264, 5743, 3953, 11, 358, 7020, 430, 358, 574, 13194, 11, 358, 7020, 430, 358, 574, 2216, 13194, 11, 719, 358, 574, 4560, 311, 40336, 1555, 433, 11, 4560, 311, 3041, 7043, 323, 279, 2800, 315, 1521, 7752, 1063, 1862, 627, 4071, 358, 1120, 7020, 520, 279, 1890, 892, 358, 574, 4762, 3339, 433, 11201, 555, 5737, 13, 358, 1047, 264, 1633, 11, 1633, 11, 1633, 9024, 11134, 11, 14224, 17685, 993, 1759, 719, 279, 1404, 315, 279, 60131, 574, 5128, 42408, 11, 323, 5128, 22520, 13, 1102, 5828, 1431, 3156, 358, 2751, 311, 1518, 433, 1243, 358, 3952, 433, 264, 2763, 810, 6129, 11, 719, 3156, 430, 1486, 358, 574, 5918, 1022, 2653, 990, 323, 39955, 311, 701, 11003, 13, 358, 9167, 1431, 5614, 430, 2533, 358, 2751, 1618, 11, 358, 4070, 2744, 6612, 1093, 4059, 927, 5030, 11, 499, 1440, 279, 4059, 10975, 279, 2547, 11, 719, 520, 1063, 1486, 279, 4059, 706, 311, 9020, 311, 279, 2547, 13, 4557, 279, 2800, 315, 420, 4441, 125341, 91, 806, 13, 777, 13, 2545, 520, 220, 18, 25, 2839, 9012, 18241, 7511, 54, 44249, 1428, 2001, 23548, 3432, 753, 6725, 11, 13558, 20661, 690, 387, 3794, 5644, 311, 3552, 264, 3361, 23693, 1567, 311, 4933, 3300, 369, 813, 2466, 45405, 61064, 1828, 2046, 627, 90243, 753, 1567, 520, 578, 68936, 2996, 68, 23435, 690, 387, 1825, 311, 279, 586, 369, 264, 8187, 400, 508, 25968, 520, 279, 6134, 11, 449, 3300, 9408, 311, 8935, 279, 13558, 315, 18231, 5114, 753, 9045, 311, 7782, 45405, 74413, 369, 279, 83563, 369, 37250, 627, 791, 73080, 369, 1828, 7742, 753, 61064, 617, 2736, 1027, 4332, 311, 864, 46340, 8689, 520, 5370, 41991, 369, 30160, 612, 50556, 2212, 10406, 627, 32, 7347, 1396, 315, 36169, 12920, 527, 2103, 2561, 18396, 369, 400, 16, 11, 931, 555, 8260, 220, 21717, 12, 14125, 12, 8259, 17, 627, 91, 806, 13, 777, 13, 2545, 520, 220, 605, 25, 1958, 1097, 18241, 7511, 34, 3903, 1233, 7395, 22452, 36739, 11096, 35727, 612, 7290, 22826, 369, 813, 17496, 6369, 11, 323, 279, 18939, 4691, 1461, 922, 813, 24826, 1742, 11, 1268, 568, 12789, 449, 2204, 4311, 323, 3508, 568, 1053, 733, 369, 279, 3243, 477, 279, 18623, 422, 568, 574, 1523, 555, 1403, 3585, 13, 320, 2677, 1618, 369, 4686, 7855, 7274, 29275, 7489, 14576, 617, 1027, 304, 279, 3754, 31445, 13, 1666, 264, 30102, 12744, 1486, 11, 656, 499, 2980, 6261, 264, 2851, 753, 7395, 5380, 49, 1986, 25, 358, 4070, 6755, 430, 369, 1667, 2001, 1148, 753, 264, 2851, 753, 7395, 30, 358, 1541, 1431, 1440, 422, 1070, 374, 1778, 264, 3245, 11, 27136, 13, 2684, 753, 24909, 889, 617, 2294, 12135, 449, 872, 4311, 11, 1070, 527, 1884, 889, 1541, 1431, 11, 719, 358, 1541, 1431, 1781, 430, 753, 1148, 3727, 1124, 264, 2851, 753, 7395, 477, 539, 13, 358, 1781, 279, 5201, 8331, 374, 6908, 13, 1442, 499, 617, 5201, 304, 279, 35779, 3130, 449, 701, 4311, 323, 17192, 46391, 1243, 358, 8101, 430, 3727, 499, 264, 2851, 753, 7395, 627, 5519, 499, 3596, 26251, 264, 2007, 11, 1464, 264, 43459, 2541, 477, 46789, 36277, 10102, 5380, 40, 46789, 36277, 10102, 13, 358, 4070, 2646, 1027, 264, 43459, 2541, 21004, 261, 11, 719, 358, 4070, 2884, 2574, 1405, 358, 4070, 5675, 856, 6940, 13, 2030, 358, 1541, 1431, 1781, 1884, 527, 2574, 499, 649, 656, 1633, 3629, 1606, 9778, 433, 690, 539, 990, 13, 2030, 499, 617, 311, 387, 26192, 13, 1472, 617, 311, 7631, 264, 5410, 11, 902, 374, 1148, 584, 1650, 433, 304, 1057, 35779, 3130, 13, 1226, 743, 264, 5410, 13, 358, 7631, 430, 5410, 13, 3011, 753, 279, 961, 499, 617, 311, 636, 701, 4311, 311, 3780, 1139, 627, 3923, 527, 279, 2574, 499, 3974, 555, 311, 743, 430, 5410, 5380, 791, 1396, 832, 3245, 449, 757, 374, 499, 617, 311, 7293, 18909, 1949, 13, 1102, 706, 311, 387, 922, 2128, 323, 433, 706, 311, 387, 922, 11230, 13, 1442, 499, 617, 1884, 1403, 2574, 323, 814, 4510, 430, 323, 433, 706, 311, 387, 837, 1243, 814, 690, 1833, 499, 13, 1102, 753, 539, 922, 264, 6917, 13, 1102, 753, 539, 922, 4205, 775, 719, 11230, 11, 323, 499, 3371, 1124, 430, 709, 4156, 13, 3011, 3250, 1431, 3152, 279, 11429, 499, 1304, 527, 2744, 1314, 13, 3277, 499, 1304, 264, 5597, 323, 433, 753, 2744, 922, 1148, 753, 1695, 369, 279, 2128, 1243, 433, 753, 1633, 5107, 369, 4423, 311, 3488, 499, 389, 430, 627, 4897, 3250, 1431, 3152, 430, 584, 649, 1431, 656, 2555, 2204, 323, 430, 1253, 387, 837, 13, 358, 3371, 856, 4311, 682, 279, 892, 11, 358, 4344, 539, 2133, 311, 656, 1314, 682, 279, 892, 11, 719, 358, 1440, 422, 499, 656, 1314, 682, 279, 892, 433, 690, 2103, 990, 13, 4557, 279, 2800, 315, 420, 4441, 125341, 91, 806, 13, 777, 13, 2545, 520, 220, 24, 25, 1774, 1097, 18241, 7511, 16, 13, 320, 20, 1680, 1102, 574, 264, 15123, 315, 264, 2046, 369, 279, 3995, 57712, 11, 889, 704, 71214, 279, 58796, 520, 279, 19558, 323, 1243, 41323, 1555, 2162, 3953, 2403, 279, 436, 57229, 1752, 96427, 11, 279, 90789, 323, 279, 27162, 13, 3296, 279, 1648, 11, 18747, 9259, 97471, 757, 311, 4648, 13, 1283, 574, 2646, 264, 3958, 2851, 11, 3686, 568, 753, 11157, 439, 1695, 1457, 439, 568, 574, 2380, 1667, 4227, 627, 17, 13, 320, 16, 1680, 578, 2144, 430, 14129, 28512, 374, 44864, 220, 717, 29944, 824, 1847, 374, 16358, 3403, 11, 719, 311, 387, 3815, 433, 520, 220, 1758, 1667, 2362, 374, 27873, 13, 1442, 28512, 649, 10519, 420, 18338, 2001, 323, 568, 649, 1431, 2001, 813, 5219, 690, 387, 2731, 1109, 813, 32966, 15956, 13, 9372, 520, 279, 1948, 220, 868, 7945, 3026, 304, 10966, 3925, 323, 7000, 315, 1124, 706, 1047, 459, 7945, 3280, 3345, 311, 420, 520, 220, 1758, 627, 18, 13, 320, 24, 1680, 358, 5895, 902, 15852, 2851, 706, 279, 1455, 30311, 11, 2848, 2194, 3769, 389, 15560, 13000, 480, 60285, 13, 358, 4344, 11890, 499, 11, 8994, 279, 15160, 11, 814, 12491, 420, 7564, 13, 13000, 480, 60285, 374, 1314, 539, 311, 56359, 927, 10691, 11, 719, 60483, 569, 21256, 2834, 1431, 5246, 10894, 430, 813, 2010, 7395, 5762, 1461, 704, 279, 4553, 11999 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2620, 315, 36962, 198, 40249, 99512, 11, 279, 21811, 36908, 374, 1193, 9124, 994, 1070, 374, 27394, 13, 43633, 1070, 374, 3177, 304, 279, 3130, 11, 1202, 5788, 7214, 18417, 627, 6153, 499, 733, 311, 4950, 323, 2543, 1022, 279, 13001, 11, 279, 2547, 37771, 288, 264, 2763, 315, 8631, 994, 499, 1456, 311, 15508, 709, 304, 279, 6453, 6522, 311, 279, 44219, 315, 279, 2547, 297, 529, 21321, 13, 578, 2547, 5334, 1139, 264, 1614, 315, 22047, 11, 7422, 430, 433, 374, 2103, 3814, 994, 499, 1456, 311, 15508, 709, 13, 578, 1121, 374, 10671, 2288, 82893, 994, 433, 374, 892, 311, 15508, 709, 323, 19994, 5225, 994, 499, 1205, 311, 6212, 13, 2057, 636, 279, 1888, 2800, 304, 279, 11714, 11, 499, 1205, 311, 5766, 19428, 3177, 304, 279, 11714, 13, 7570, 779, 11, 994, 499, 15508, 709, 304, 27394, 11, 499, 690, 2103, 2733, 82893, 627, 791, 1888, 6425, 374, 311, 636, 264, 3756, 430, 649, 8356, 3177, 430, 53291, 279, 7160, 1139, 701, 14150, 13, 3861, 1778, 3177, 374, 279, 74603, 15508, 5352, 3177, 627, 30690, 3153, 15508, 5352, 3177, 19832, 198, 791, 74603, 15508, 5352, 3177, 374, 264, 1948, 4367, 323, 7701, 7524, 2027, 430, 5825, 499, 449, 2731, 907, 1109, 279, 5410, 17035, 51437, 13, 1102, 374, 539, 2307, 34348, 11, 719, 499, 649, 1505, 433, 520, 264, 5209, 31608, 3430, 13, 578, 2955, 315, 279, 29062, 374, 27545, 323, 31439, 11, 7231, 499, 279, 3072, 315, 1701, 433, 439, 459, 17035, 477, 5403, 96803, 29062, 627, 2181, 11193, 220, 24, 13, 24, 15271, 555, 220, 19, 13, 21, 15271, 555, 220, 24, 13, 17, 15271, 11, 3339, 433, 832, 315, 279, 8706, 15508, 5352, 3177, 50552, 304, 279, 3157, 13, 578, 29062, 374, 5115, 810, 12190, 1109, 499, 1053, 1755, 439, 433, 50542, 220, 18, 13, 21, 16701, 13, 7570, 2103, 11, 433, 706, 459, 15400, 2955, 323, 5992, 311, 387, 48494, 13, 578, 29062, 1587, 539, 1205, 904, 14956, 369, 433, 311, 734, 13, 8876, 433, 1587, 539, 617, 904, 54558, 20946, 477, 11602, 20946, 11, 499, 1193, 1205, 311, 20206, 304, 279, 29062, 311, 18200, 13, 8876, 433, 1587, 539, 617, 904, 5918, 3502, 11863, 11, 279, 17035, 1253, 9229, 1202, 15293, 994, 1070, 374, 912, 2410, 627, 2714, 1711, 279, 74603, 15508, 5352, 3177, 374, 1633, 4382, 13, 1472, 1176, 1205, 311, 1212, 555, 6376, 279, 892, 11, 902, 374, 1633, 4228, 311, 1373, 13, 1472, 649, 439, 1664, 6288, 1505, 279, 3185, 12706, 323, 2162, 3834, 12706, 13, 578, 3834, 12706, 2997, 279, 5130, 11, 264, 3373, 11, 5636, 323, 28382, 3215, 13, 578, 3185, 12706, 690, 3041, 499, 2585, 927, 279, 33306, 315, 279, 29062, 323, 279, 24342, 9063, 13, 9843, 499, 3577, 279, 5130, 11, 499, 649, 636, 2680, 311, 279, 21261, 315, 279, 3756, 11, 279, 63411, 11, 892, 11, 323, 10578, 627, 791, 29062, 706, 1403, 2204, 17035, 6067, 430, 499, 649, 14749, 311, 1005, 520, 2204, 3115, 13, 3861, 369, 279, 73095, 323, 832, 369, 279, 38102, 627, 54, 1802, 709, 1701, 279, 17035, 198, 32, 14964, 8331, 922, 279, 74603, 15508, 5352, 3177, 374, 430, 433, 13001, 709, 220, 508, 311, 220, 1272, 4520, 6931, 1603, 499, 15508, 709, 13, 1472, 527, 279, 832, 430, 7437, 279, 892, 13, 578, 13001, 27115, 1212, 449, 264, 5213, 2579, 37066, 11, 4857, 24151, 311, 19087, 11, 14071, 11, 323, 25270, 449, 264, 4251, 10107, 13, 2468, 420, 892, 11, 433, 8638, 311, 1514, 832, 315, 279, 436, 4910, 288, 430, 499, 617, 12146, 304, 264, 24729, 323, 2867, 5222, 13, 578, 17035, 4519, 4330, 8056, 43076, 430, 2997, 26, 93876, 11, 32889, 13863, 11, 74569, 27374, 11, 57628, 304, 279, 20585, 323, 12224, 5609, 13, 1472, 1101, 617, 279, 3072, 315, 5737, 701, 7075, 9063, 8216, 13, 1442, 499, 1390, 311, 66184, 91253, 11, 499, 1193, 1205, 311, 5916, 279, 1948, 315, 279, 3756, 11, 323, 279, 17035, 690, 66184, 91253, 369, 11888, 5066, 4520, 13, 12220, 420, 4261, 11, 499, 649, 61792, 304, 279, 3177, 430, 279, 29062, 19159, 323, 4774, 1063, 37471, 8935, 1603, 5616, 48728, 709, 13, 9843, 279, 66184, 91253, 892, 374, 709, 11, 279, 8286, 690, 5376, 1578, 11, 19054, 1376, 3428, 311, 1579, 13, 1472, 2646, 617, 311, 11196, 922, 279, 3177, 72389, 1113, 2533, 433, 4131, 505, 6617, 56672, 13, 578, 29062, 1587, 539, 25024, 264, 2763, 315, 2410, 13, 1102, 8779, 499, 3665, 389, 4907, 627, 12978, 287, 3161, 24708, 198, 2170, 279, 17035, 323, 3177, 649, 1520, 499, 15508, 709, 389, 892, 11, 279, 3177, 505, 279, 29062, 649, 439, 1664, 1520, 499, 6212, 18182, 323, 304, 9096, 13, 4718, 2547, 649, 5647, 422, 433, 374, 1938, 477, 3814, 13, 11115, 499, 617, 1027, 31526, 3177, 279, 4459, 1938, 11, 701, 2547, 8964, 994, 433, 374, 1938, 323, 690, 2567, 499, 35447, 3156, 433, 38207, 27394, 323, 3727, 499, 82893, 13, 12220, 420, 4261, 11, 1690, 1274, 527, 6118, 94791, 704, 2533, 814, 6996, 6212, 627, 791, 1920, 374, 1633, 4528, 311, 1268, 279, 3177, 4375, 994, 48728, 499, 709, 13, 4452, 11, 433, 374, 304, 10134, 13, 12361, 315, 279, 3177, 7859, 304, 33306, 11, 433, 690, 18979, 304, 21261, 11, 505, 264, 10107, 4251, 311, 459, 19087, 11, 323, 5616, 311, 264, 2579, 1603, 5213, 5424, 1022, 13, 1666, 433, 1587, 656, 11, 499, 649, 1101, 9020, 311, 832, 315, 279, 7855, 505, 279, 29062, 13, 12220, 420, 4261, 11, 701, 2547, 9221, 8010, 315, 279, 3177, 430, 374, 59617, 13, 1102, 11, 9093, 11, 5334, 5644, 369, 264, 3814, 315, 5655, 6212, 627, 4518, 9479, 25, 7252, 81835, 1789, 44055, 35567, 198, 13461, 3582, 279, 6156, 10096, 369, 279, 74603, 15508, 5352, 3177, 374, 311, 990, 439, 459, 17035, 11, 1070, 527, 1023, 4519, 430, 433, 706, 902, 499, 1253, 1505, 311, 387, 315, 8935, 13, 1789, 2937, 11, 279, 29062, 5727, 24342, 9063, 17357, 902, 499, 649, 1005, 311, 9020, 311, 701, 7075, 9063, 8216, 13, 1102, 11, 4869, 11, 1587, 539, 617, 904, 54558, 20946, 477, 11602, 13, 1472, 649, 1101, 1005, 279, 29062, 439, 264, 2592, 315, 5403, 3177, 13, 3296, 43468, 279, 2237, 315, 33306, 311, 220, 508, 11, 499, 690, 1505, 279, 1314, 33306, 8335, 2085, 3515, 311, 26800, 701, 6548, 13, 1472, 649, 1101, 2035, 433, 389, 701, 96803, 311, 1180, 439, 264, 3814, 3177, 719, 389, 264, 3428, 3177, 6376, 13, 578, 3430, 4877, 389, 279, 29062, 374, 5115, 1579, 13, 2030, 994, 499, 2980, 682, 279, 7720, 430, 433, 374, 12967, 311, 279, 2007, 11, 433, 374, 5922, 279, 3430, 627, 85423, 315, 279, 74603, 15508, 5352, 3177, 198, 12, 578, 29062, 690, 1520, 499, 15508, 709, 8430, 45955, 13, 1472, 912, 5129, 617, 311, 8209, 449, 294, 1849, 1918, 1475, 892, 430, 499, 15508, 709, 627, 12, 1102, 690, 1520, 5376, 701, 20545, 2410, 627, 12, 1102, 5829, 4367, 55090, 430, 527, 54799, 311, 279, 2487, 430, 499, 9020, 311, 994, 48728, 709, 198, 12, 1102, 8779, 311, 636, 9463, 315, 279, 33147, 311, 733, 1203, 323, 6212, 198, 12, 1102, 706, 4519, 430, 527, 4228, 311, 14816, 627, 12, 1472, 649, 1005, 279, 29062, 311, 1520, 499, 6212, 10819, 422, 499, 2733, 311, 387, 1672, 316, 7907, 582, 198, 12, 1102, 1587, 539, 25024, 264, 2763, 315, 2410, 16472, 4907, 11297, 198, 12, 578, 29062, 5829, 56672, 430, 656, 539, 4984, 264, 2763, 315, 8798, 627, 12, 1472, 649, 9020, 311, 279, 9063, 422, 499, 656, 539, 1093, 279, 5222, 50424, 430, 527, 369, 279, 3756, 198, 12, 1472, 649, 11, 9093, 11, 4498, 33173, 18182, 323, 45769, 627, 12, 3277, 499, 5916, 279, 29062, 33484, 994, 433, 374, 4401, 11, 433, 690, 7214, 1212, 66184, 9700, 287, 369, 11888, 4520, 627, 7816, 922, 279, 74603, 15508, 5352, 3177, 198, 2746, 499, 23781, 7831, 505, 18710, 477, 20247, 4814, 11, 279, 74603, 15508, 5352, 3177, 649, 656, 459, 9250, 2683, 304, 4602, 4954, 499, 323, 19054, 1057, 20247, 13, 1789, 1690, 1274, 11, 20247, 4814, 13980, 2391, 12688, 4245, 311, 279, 4814, 315, 279, 7160, 13, 4452, 11, 279, 74603, 15508, 5352, 3177, 3698, 1900, 420, 555, 1675, 15853, 279, 7160, 1555, 17843, 19087, 323, 2579, 82757, 430, 9616, 311, 430, 315, 264, 64919, 627, 2746, 499, 527, 16066, 505, 18710, 11, 499, 1288, 1101, 2980, 4737, 810, 1957, 11, 1778, 439, 4737, 389, 328, 1846, 6437, 3177, 15419, 13, 578, 3177, 374, 7701, 7524, 389, 264, 3177, 83647, 439, 433, 62667, 1124, 323, 13912, 1124, 81471, 323, 4602, 1534, 13, 15483, 7720, 1253, 539, 3621, 369, 264, 8987, 83647, 13, 1115, 15419, 3177, 374, 8967, 311, 387, 279, 14039, 369, 701, 7528, 9042, 13, 578, 46912, 706, 264, 5916, 4264, 7479, 449, 264, 1664, 9621, 7528, 9042, 13, 1442, 499, 1390, 264, 26733, 1648, 499, 649, 15508, 5352, 11, 279, 74603, 15508, 5352, 3177, 374, 701, 1888, 3072, 13, 1472, 1193, 1205, 311, 743, 264, 892, 311, 636, 709, 304, 279, 6693, 11, 323, 279, 29062, 27115, 11705, 459, 21075, 64919, 13, 1442, 499, 656, 539, 2733, 1093, 16448, 4216, 11, 499, 649, 5916, 12660, 389, 279, 29062, 11, 323, 433, 690, 9651, 66184, 91253, 627, 3923, 1023, 2019, 512, 48349, 2763, 315, 1274, 2873, 311, 387, 42126, 922, 279, 6996, 315, 8286, 2585, 719, 433, 753, 539, 520, 682, 2487, 2320, 1291, 6253, 13, 358, 617, 912, 11011, 27129, 323, 279, 8286, 3250, 1431, 20753, 757, 13, 1442, 1070, 753, 459, 4360, 449, 279, 8286, 11, 2500, 1217, 12090, 259, 14550, 24428, 37095, 311, 433, 4235, 20069, 4560, 704, 49216, 93, 28237, 88770, 198, 2118, 26926, 36270, 6883, 836, 15508, 709, 3177, 13, 358, 1120, 4934, 279, 15508, 709, 3177, 4668, 323, 3287, 1431, 1390, 311, 1464, 856, 15435, 13, 1102, 4131, 449, 47384, 734, 902, 374, 264, 5636, 13, 10541, 358, 1005, 8339, 38906, 311, 743, 709, 856, 1866, 17035, 49216, 93, 28326, 386, 455, 198, 791, 74603, 15508, 5352, 3177, 264, 1695, 3072, 369, 5403, 26, 4869, 11, 1202, 3177, 374, 539, 50197, 307, 45770, 13, 1472, 690, 1101, 1505, 264, 2653, 892, 311, 2543, 1022, 279, 41674, 5352, 3177, 2533, 279, 29062, 1587, 539, 88682, 1202, 12706, 430, 527, 520, 279, 1948, 315, 279, 29062, 1120, 4920, 279, 46912, 13, 1472, 1253, 1397, 311, 1005, 2500, 29062, 311, 1518, 279, 12706, 430, 499, 1390, 13, 578, 1455, 7185, 2766, 922, 279, 3177, 374, 279, 2579, 40140, 430, 433, 19159, 430, 1675, 24031, 279, 44084, 13, 3296, 2068, 287, 264, 46836, 11714, 11, 499, 527, 20646, 701, 2547, 311, 2733, 82893, 11, 902, 690, 13967, 3063, 311, 499, 21811, 10819, 13, 578, 3177, 389, 279, 56454, 41988, 3156, 433, 5900, 1022, 13, 578, 3130, 9221, 40130, 11, 323, 6212, 9221, 31352, 13, 3277, 499, 1390, 311, 15508, 709, 4216, 11, 499, 617, 311, 743, 279, 9198, 389, 279, 29062, 13, 3277, 433, 5334, 311, 6693, 11, 279, 29062, 991, 24031, 264, 64919, 1405, 279, 29062, 8638, 18186, 449, 264, 5213, 2579, 3177, 12222, 433, 19159, 264, 2307, 10107, 4251, 3177, 627, 4518, 9479, 25, 27508, 8828, 40143, 42277, 6401, 39195, 198, 8538, 7252, 54820, 41674, 47197, 8828, 1952, 8339, 25 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 54, 33362, 220, 1758, 220, 679, 20, 198, 62148, 12, 6658, 12, 76155, 7058, 25696, 315, 279, 10563, 198, 2028, 10563, 11, 220, 1049, 18, 198, 576, 2046, 11, 220, 1049, 19, 198, 55519, 97703, 11, 420, 2046, 11, 220, 1049, 20, 198, 55519, 97703, 11, 1115, 10563, 11, 220, 1049, 21, 198, 55519, 97703, 11, 1115, 10563, 11, 220, 1049, 22, 198, 55519, 97703, 11, 1115, 10563, 11, 220, 1049, 23, 198, 55519, 97703, 11, 1115, 10563, 11, 220, 1049, 24, 198, 55519, 97703, 11, 1115, 10563, 11, 220, 679, 15, 198, 34774, 482, 2876, 1790, 311, 2019, 13, 16782, 4106, 11, 3582, 198, 1962, 5115, 439, 32236, 398, 439, 279, 1566, 5743, 315, 2919, 627, 2688, 1790, 311, 2019, 482, 358, 1550, 1063, 82569, 304, 279, 6693, 11, 28822, 709, 264, 2766, 2212, 198, 1820, 3838, 11, 1550, 35189, 13, 14910, 1063, 5403, 304, 279, 13658, 627, 35720, 482, 8166, 1578, 11, 220, 6849, 37, 198, 33912, 398, 11, 220, 5120, 37, 389, 856, 32278, 13, 1115, 374, 922, 279, 1890, 439, 13985, 11, 719, 279, 198, 94146, 706, 1922, 418, 709, 1139, 279, 27294, 323, 279, 264, 2971, 5828, 956, 3318, 439, 1664, 13, 3296, 198, 22928, 13658, 433, 574, 1664, 927, 220, 1490, 37, 709, 304, 279, 5274, 323, 358, 33085, 1022, 369, 198, 40, 574, 3025, 11, 555, 4401, 279, 264, 2971, 31978, 389, 1579, 11, 311, 2567, 433, 520, 220, 1490, 37, 198, 2996, 31234, 13, 358, 3779, 2500, 79379, 7090, 358, 1047, 2212, 311, 279, 10007, 64406, 198, 74, 7606, 3321, 320, 1820, 3838, 374, 1457, 19073, 264, 26457, 570, 2468, 220, 24, 5298, 433, 574, 2103, 198, 2017, 220, 1954, 37, 4994, 627, 13622, 398, 358, 1373, 16433, 6392, 304, 279, 13658, 482, 1701, 364, 13178, 518, 31257, 5952, 12509, 345, 258, 20624, 23395, 6392, 11, 323, 1268, 311, 10489, 4305, 674, 35832, 82, 304, 198, 79406, 7813, 13, 480, 1494, 20990, 13, 358, 574, 3025, 311, 2231, 279, 11041, 2373, 315, 279, 2447, 198, 18614, 364, 13178, 518, 14470, 4228, 3131, 499, 636, 264, 15326, 22237, 323, 264, 15372, 198, 5624, 11, 323, 433, 5084, 311, 990, 5509, 13, 2876, 430, 358, 1436, 2216, 1296, 433, 11, 439, 433, 574, 198, 4345, 2288, 4106, 304, 279, 5274, 311, 990, 304, 1070, 627, 4438, 311, 656, 2574, 374, 264, 2766, 1097, 16751, 788, 311, 757, 1314, 1457, 11, 719, 279, 3245, 922, 198, 258, 20624, 23395, 374, 311, 2187, 279, 8141, 315, 264, 330, 43, 6119, 1, 2373, 11, 430, 198, 4312, 649, 14234, 311, 264, 330, 8201, 926, 3343, 578, 24811, 374, 430, 420, 374, 279, 1888, 1648, 311, 198, 2880, 12117, 24035, 323, 6763, 627, 1383, 1701, 459, 5993, 35832, 1, 499, 649, 743, 3738, 2574, 389, 51906, 304, 356, 323, 55389, 7813, 345, 438, 832, 315, 1884, 2574, 649, 387, 5990, 11, 902, 527, 743, 555, 264, 5292, 304, 279, 69735, 198, 1213, 430, 279, 1217, 649, 956, 5719, 198, 17411, 412, 87438, 813, 3756, 570, 578, 2883, 649, 198, 35153, 279, 69735, 1052, 1701, 8325, 596, 198, 258, 20624, 16346, 11, 311, 2349, 279, 5292, 505, 364, 43, 6119, 6, 311, 364, 8201, 926, 24482, 3112, 364, 13178, 518, 439, 1664, 439, 8405, 2373, 2585, 11, 1288, 2187, 757, 311, 1296, 279, 198, 64750, 364, 46647, 518, 602, 1770, 2637, 24397, 4893, 627, 3112, 1070, 596, 264, 8821, 364, 15181, 6, 499, 4232, 369, 304, 20624, 6392, 11, 323, 198, 6648, 11, 323, 10283, 315, 420, 323, 430, 13, 2052, 2103, 14470, 25420, 11, 719, 1274, 656, 198, 275, 11, 779, 433, 596, 656, 481, 627, 7280, 674, 3391, 574, 578, 198, 19249, 8525, 315, 90895, 2439, 11, 555, 3842, 356, 13, 27839, 13, 3639, 311, 2019, 30, 1115, 7564, 6835, 198, 596, 1330, 43516, 6, 264, 4459, 502, 85152, 13, 1115, 374, 279, 11999, 2363, 304, 279, 4101, 198, 438, 27839, 374, 2103, 100082, 1022, 810, 502, 86569, 11, 32538, 323, 6848, 198, 54895, 1455, 12283, 656, 304, 872, 4553, 7076, 627, 8538, 364, 42450, 20075, 6, 6392, 430, 11, 8206, 3725, 11, 358, 1541, 956, 2216, 1833, 11, 505, 198, 9274, 264, 2046, 4227, 627, 644, 264, 4856, 15234, 2543, 315, 4455, 27839, 574, 14132, 65397, 555, 813, 1866, 198, 52291, 420, 1060, 13, 8611, 11, 813, 21959, 11, 706, 1047, 872, 3229, 596, 3243, 279, 198, 3236, 398, 364, 39, 34601, 17768, 6, 369, 7252, 10170, 43754, 12598, 98037, 1475, 1060, 369, 279, 1566, 198, 508, 10, 1667, 13, 5046, 3389, 1521, 26526, 617, 1027, 14470, 14224, 264, 31205, 198, 20523, 72227, 51680, 13, 35272, 76879, 11, 323, 11223, 264, 51680, 315, 198, 1, 6387, 54268, 1, 477, 330, 820, 1742, 1, 16483, 11, 2737, 27839, 11, 264, 36666, 198, 34, 96430, 13, 1115, 9057, 264, 6908, 97932, 277, 627, 791, 7185, 3245, 922, 279, 23146, 374, 430, 5606, 649, 88400, 323, 7055, 345, 300, 1317, 439, 499, 2351, 264, 12798, 4562, 315, 279, 8198, 17422, 8396, 13, 5112, 11, 1855, 198, 3236, 11, 279, 94665, 596, 520, 279, 4435, 10170, 43754, 26958, 320, 6540, 80686, 420, 198, 3236, 8, 636, 311, 7055, 389, 279, 13946, 4315, 279, 29311, 596, 304, 5370, 11306, 18722, 2000, 2500, 11307, 627, 2028, 1060, 11, 994, 23146, 892, 3782, 264, 2046, 477, 779, 4227, 11, 279, 15692, 330, 60765, 198, 47, 95847, 1, 51680, 574, 10213, 6689, 1523, 13, 2030, 433, 574, 9539, 264, 7234, 482, 279, 991, 71696, 198, 16514, 304, 389, 433, 323, 6197, 264, 69002, 13734, 304, 902, 279, 26391, 596, 14896, 364, 2822, 198, 90640, 6, 4856, 1109, 10292, 198, 998, 279, 1274, 430, 279, 7359, 520, 3544, 1047, 4183, 13, 1628, 279, 1396, 198, 1073, 1274, 16043, 364, 2201, 10292, 6, 574, 1071, 311, 387, 4661, 7041, 220, 17, 11, 2636, 482, 4661, 439, 198, 333, 4423, 11, 2019, 264, 21959, 449, 264, 79051, 2802, 304, 26991, 279, 198, 675, 2402, 11, 1047, 7318, 1124, 311, 7055, 430, 1648, 9522, 3112, 27839, 574, 832, 315, 1884, 12283, 9495, 704, 627, 40, 1541, 956, 1440, 11, 358, 5828, 956, 1070, 11, 323, 358, 9167, 956, 1027, 311, 264, 24360, 21977, 2533, 198, 68534, 13, 1102, 5084, 12703, 311, 1518, 264, 2523, 323, 71414, 3245, 50500, 11, 719, 358, 8101, 198, 1544, 6287, 220, 679, 20, 198, 26840, 4106, 11, 922, 220, 5120, 37, 4184, 311, 856, 32278, 93297, 13, 3011, 14473, 11, 358, 198, 329, 1800, 11, 8640, 4106, 555, 922, 220, 20, 12628, 449, 5201, 311, 330, 33912, 1, 20472, 345, 8370, 574, 922, 220, 6849, 37, 13, 358, 2846, 539, 2771, 3508, 433, 374, 304, 2144, 5076, 11, 477, 433, 596, 856, 198, 2497, 10182, 4401, 8369, 3189, 83, 279, 17149, 13, 763, 904, 1162, 433, 596, 1027, 264, 1317, 4106, 198, 10476, 11, 323, 433, 4536, 956, 671, 1113, 3686, 9522, 40, 3287, 956, 636, 704, 369, 856, 4321, 11, 1306, 3794, 709, 3389, 13, 56096, 11, 477, 7344, 264, 198, 71, 3043, 389, 7884, 304, 279, 24405, 627, 11663, 1109, 430, 11, 1120, 3318, 389, 279, 917, 13, 358, 98713, 398, 4024, 1555, 279, 198, 1889, 323, 1766, 279, 10077, 505, 13985, 13, 358, 2216, 1205, 311, 636, 91192, 2133, 345, 69666, 311, 2082, 304, 1778, 264, 11827, 430, 499, 649, 82610, 264, 1938, 596, 4442, 555, 1450, 198, 285, 5128, 66838, 627, 40, 1550, 264, 5743, 315, 2574, 449, 2217, 470, 2792, 287, 11, 311, 330, 11912, 704, 1, 5596, 315, 1063, 198, 3726, 323, 1097, 5128, 20097, 449, 430, 627, 11649, 11, 539, 2216, 13, 358, 2846, 470, 2792, 287, 520, 922, 4848, 477, 8254, 7634, 304, 279, 2082, 345, 8370, 374, 75082, 6725, 11, 3582, 1524, 856, 2362, 23067, 17, 12035, 649, 656, 433, 13, 2100, 358, 198, 53757, 311, 18622, 279, 4459, 2217, 11850, 3245, 11, 1606, 433, 1053, 1243, 2187, 198, 2727, 311, 18622, 279, 31257, 18324, 961, 323, 704, 40903, 279, 220, 20, 1060, 79573, 9522, 40, 4265, 1205, 264, 29996, 311, 19128, 279, 11041, 5448, 4619, 315, 279, 198, 10090, 11, 323, 2082, 387, 3025, 311, 1373, 279, 2385, 5448, 323, 3665, 11041, 198, 29390, 3131, 304, 264, 13643, 198, 18135, 369, 1475, 2543, 1603, 1514, 627, 46300, 77431, 5304, 31649, 9522, 5159, 4333, 350, 1047, 9932, 279, 1023, 1938, 430, 279, 6945, 315, 279, 2046, 574, 6908, 512, 37227, 2466, 311, 5052, 389, 279, 4264, 13, 47193, 358, 1766, 430, 433, 574, 220, 4278, 19, 87, 3965, 15, 1804, 13, 473, 12825, 627, 4516, 358, 59649, 433, 311, 279, 13783, 220, 4728, 87, 627, 41619, 220, 1627, 6287, 198, 41619, 482, 12310, 11758, 4762, 11, 719, 198, 43296, 287, 1022, 4216, 11, 4245, 311, 1063, 1579, 30614, 627, 40, 6575, 389, 279, 917, 1455, 315, 279, 1938, 11, 1903, 1063, 5208, 11, 1243, 1903, 264, 16930, 198, 438, 6818, 311, 1005, 364, 15359, 6, 1578, 311, 11993, 13, 1628, 7846, 956, 13, 3639, 264, 12571, 315, 198, 1712, 13, 358, 649, 1518, 279, 16694, 11, 719, 358, 649, 956, 7637, 433, 369, 1063, 2944, 1131, 358, 198, 52851, 358, 1205, 311, 1935, 264, 5743, 315, 2919, 323, 4048, 364, 13178, 4527, 358, 1511, 311, 1440, 364, 82, 641, 82, 198, 438, 364, 1310, 82, 518, 779, 7344, 433, 2834, 956, 387, 2288, 1790, 892, 323, 5149, 627, 2181, 40199, 11, 1606, 358, 4265, 11798, 264, 4459, 15860, 315, 4442, 323, 4934, 311, 198, 47530, 264, 2373, 311, 328, 311, 1296, 704, 389, 7950, 13, 8840, 1664, 627, 644, 279, 11714, 584, 4024, 927, 311, 279, 6762, 482, 856, 4333, 10862, 1077, 272, 640, 2053, 323, 198, 906, 682, 15746, 279, 50790, 13, 2684, 1051, 264, 2763, 315, 10925, 369, 264, 4321, 5352, 198, 79123, 482, 11888, 11, 719, 1364, 9277, 4948, 304, 264, 5128, 15022, 15860, 13, 1226, 198, 4150, 709, 449, 1063, 1023, 4885, 323, 82294, 2212, 323, 7111, 520, 6392, 627, 40, 5616, 2751, 856, 6762, 14095, 5679, 11, 779, 358, 2846, 6380, 9522, 7778, 3389, 323, 304, 4950, 520, 220, 605, 25, 966, 11, 34325, 323, 22655, 19781, 627, 7280, 674, 2983, 574, 22620, 198, 24284, 11, 555, 11641, 2030, 9211, 13, 1115, 574, 279, 1176, 304, 279, 14253, 86545, 4101, 345, 64, 364, 11710, 1039, 304, 6617, 10780, 6, 18884, 3169, 315, 25551, 69981, 3529, 13478, 535, 56662, 11, 719, 198, 4012, 13, 358, 1781, 433, 574, 30464, 369, 279, 2678, 4264, 323, 10837, 389, 6007, 369, 264, 3280, 198, 269, 1403, 13, 2684, 527, 264, 15860, 315, 11506, 2053, 304, 279, 1887, 11, 719, 358, 1047, 311, 636, 198, 2295, 53521, 11941, 311, 3708, 757, 279, 1193, 3048, 430, 279, 4553, 13256, 6406, 198, 18556, 1047, 315, 279, 1176, 2363, 11, 264, 86831, 78928, 41299, 482, 6433, 3950, 398, 433, 4295, 220, 1041, 37, 11, 719, 1070, 198, 16514, 264, 9624, 9722, 323, 433, 3287, 956, 2216, 2733, 1093, 433, 627, 40, 3952, 856, 1317, 4321, 304, 279, 6693, 11, 220, 24, 10, 8931, 11, 323, 1418, 856, 7693, 13194, 389, 198, 693, 1070, 1051, 912, 1529, 9487, 323, 358, 5828, 956, 47447, 389, 279, 27240, 27905, 627, 791, 30614, 323, 23900, 6693, 20472, 320, 40, 11224, 520, 220, 21, 25, 966, 309, 8, 9087, 264, 2763, 345, 438, 358, 1047, 459, 8244, 18338, 315, 922, 220, 18, 56102, 11, 5128, 1695, 627, 12487, 433, 574, 917, 990, 11, 4560, 311, 636, 279, 31257, 15324, 311, 1518, 1403, 198, 15124, 495, 18133, 53492, 11, 323, 4305, 1124, 304, 264, 3738, 2015, 13, 11481, 261, 1109, 358, 198, 36339, 482, 8817, 1725, 304, 279, 3428, 220, 1041, 596, 13, 2876, 2288, 3958, 627, 7009, 527, 5605, 1070, 374, 264, 8798, 12330, 304, 3637, 369, 16642, 7188, 420, 198, 85444, 574, 10213, 3815, 82569, 430, 3287, 956, 636, 2884, 927, 279, 9178, 627, 6153, 12684, 574, 990, 389, 279, 917, 627, 37165, 482, 8166, 304, 66223, 11, 927, 220, 1041, 37, 11, 719, 584, 198, 52898, 1523, 304, 15013, 27286, 11, 1405, 433, 574, 23900, 11, 7344, 220, 5313, 37, 627, 791, 24074, 5424, 574, 6555, 11, 323, 814, 3077, 743, 709, 279, 64470, 36001, 1457, 11, 779, 198, 93057, 25, 45518, 323, 10877, 11, 706, 28601, 13, 578, 24521, 44935, 388, 1051, 198, 309, 2656, 520, 279, 991, 71696, 596, 506, 22780, 811, 311, 279, 13734, 311, 330, 13397, 95831, 304, 420, 198, 20559, 3343, 220, 5313, 37, 374, 279, 93744, 198, 35658, 304, 66223, 9522 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 27671, 323, 6425, 315, 12414, 6987, 383, 8060, 304, 1901, 3524, 89, 17156, 526, 198, 27671, 323, 6425, 315, 12414, 6987, 383, 8060, 304, 1901, 3524, 89, 17156, 526, 7557, 45206, 3623, 2637, 12604, 627, 57, 3524, 89, 17156, 526, 7557, 45206, 3623, 2637, 12604, 13, 21935, 2294, 6666, 311, 279, 8990, 323, 6492, 315, 279, 8060, 315, 60797, 12414, 6987, 383, 13, 578, 69771, 315, 12414, 6987, 383, 374, 264, 1633, 9200, 6566, 13, 578, 2768, 1288, 387, 2884, 512, 16, 13, 763, 71194, 1139, 279, 8990, 3277, 12588, 279, 2038, 389, 279, 5780, 2816, 1405, 279, 14867, 374, 2631, 311, 387, 34373, 11, 279, 5793, 1288, 1176, 387, 2631, 311, 10519, 279, 389, 29654, 14867, 1614, 439, 1790, 439, 3284, 11, 2085, 904, 6514, 11, 902, 374, 24629, 311, 6288, 323, 30357, 24564, 279, 5353, 315, 279, 14867, 13, 2468, 279, 1890, 892, 11, 15884, 68270, 922, 279, 14867, 28137, 6671, 11, 279, 14867, 13340, 323, 279, 4092, 315, 279, 14867, 11, 323, 1304, 264, 33269, 19971, 28178, 311, 8417, 279, 7526, 11, 24198, 11, 38940, 323, 7384, 11, 24804, 5596, 11, 5099, 13, 430, 1288, 387, 11953, 389, 279, 2816, 311, 8108, 279, 4883, 10398, 575, 892, 627, 17, 13, 4740, 279, 389, 29654, 26767, 30782, 520, 279, 6237, 11, 279, 13708, 323, 80414, 315, 279, 5370, 4787, 3984, 555, 279, 5793, 2011, 1176, 387, 24884, 311, 10356, 279, 13708, 315, 279, 33269, 19971, 13, 24586, 311, 279, 2237, 315, 279, 5793, 11, 1070, 527, 1690, 5157, 1405, 279, 14867, 3044, 374, 25420, 477, 1524, 6724, 50504, 13, 15636, 11, 1306, 2133, 311, 279, 6237, 11, 656, 539, 13270, 311, 3790, 433, 11, 323, 312, 10397, 20588, 279, 6671, 15884, 311, 5766, 5674, 311, 279, 6237, 323, 5376, 279, 17250, 315, 69771, 13, 220, 18, 13, 60249, 18825, 10771, 311, 279, 3967, 14867, 4787, 11, 279, 14867, 24790, 374, 30239, 4184, 311, 279, 14867, 24790, 1749, 7633, 304, 279, 3766, 3857, 11, 779, 439, 311, 8417, 279, 17966, 315, 69771, 13, 8876, 1455, 57790, 527, 16717, 11, 304, 4689, 11, 279, 60797, 1887, 15439, 11630, 323, 7754, 11630, 369, 279, 5780, 5507, 649, 387, 1511, 311, 1160, 279, 5370, 3284, 11384, 315, 279, 14867, 13, 220, 19, 13, 31001, 279, 5353, 311, 19874, 264, 8205, 315, 3284, 11384, 311, 1505, 704, 279, 1972, 5353, 315, 279, 8060, 11, 1243, 279, 13709, 17274, 374, 264, 16195, 1296, 315, 279, 5780, 71540, 11, 6677, 2237, 11, 15325, 3217, 323, 44064, 19971, 627, 20, 13, 42782, 65, 51340, 5528, 369, 69771, 1253, 387, 4382, 13, 4427, 57790, 527, 3629, 17395, 323, 1397, 264, 4101, 315, 47979, 11, 1778, 439, 18459, 315, 7526, 323, 20645, 11, 7276, 834, 15343, 11, 13023, 315, 6956, 11, 53678, 315, 6956, 11, 323, 1524, 578, 55986, 315, 279, 69771, 7504, 323, 779, 389, 627, 791, 1920, 315, 8990, 11, 6492, 323, 23842, 315, 279, 14867, 315, 279, 20314, 1887, 315, 279, 60797, 12414, 6987, 383, 374, 1101, 279, 1920, 315, 69771, 13, 9843, 279, 5353, 374, 11054, 11, 279, 14867, 374, 4661, 6273, 311, 279, 44032, 13, 15636, 11, 279, 1749, 315, 14867, 6492, 323, 23842, 9221, 1633, 3062, 13, 578, 4279, 15439, 5528, 369, 20314, 57790, 527, 10212, 3770, 627, 16, 13, 20796, 26767, 1749, 1115, 374, 279, 1749, 430, 2011, 387, 1511, 520, 279, 7314, 315, 279, 8060, 6492, 11, 430, 374, 11, 279, 1005, 315, 49069, 26767, 627, 27264, 279, 14867, 2816, 17274, 311, 15884, 68270, 922, 279, 1920, 11, 14867, 11341, 323, 8060, 16296, 315, 279, 14867, 11, 323, 1253, 2610, 5361, 3115, 2391, 279, 4553, 6492, 323, 19971, 1920, 627, 3198, 1870, 1817, 3508, 279, 3318, 2704, 315, 1855, 961, 315, 279, 5780, 5507, 374, 304, 264, 4725, 1614, 320, 21470, 439, 1855, 16580, 8183, 2361, 11, 99291, 1614, 11, 5507, 14756, 11, 12585, 2361, 11, 5099, 25390, 323, 3508, 1855, 14683, 2585, 3756, 320, 21470, 439, 60797, 1887, 11, 9499, 2585, 3756, 11, 54494, 367, 3756, 11, 5099, 6266, 706, 578, 17035, 15151, 430, 279, 961, 374, 62884, 369, 8276, 50440, 11, 279, 6956, 527, 50440, 11, 43939, 11, 279, 36108, 323, 37172, 527, 45017, 11, 323, 279, 2361, 315, 1855, 10565, 3777, 374, 4495, 477, 539, 627, 11561, 649, 387, 1766, 1234, 279, 3044, 315, 2410, 8060, 315, 279, 4459, 5780, 555, 31687, 279, 14028, 2704, 315, 1855, 1925, 16622, 4580, 11, 279, 628, 36368, 2704, 315, 1855, 20206, 11, 279, 3717, 2704, 315, 1855, 2410, 323, 8450, 36108, 320, 21470, 439, 59412, 323, 9048, 3729, 269, 19358, 705, 5099, 13, 274, 2944, 627, 15335, 10539, 3445, 430, 279, 2410, 374, 6656, 389, 304, 2015, 311, 1817, 369, 16603, 11, 4027, 11, 35663, 5222, 11, 54097, 11, 323, 9546, 477, 19821, 315, 72389, 1113, 315, 279, 9048, 323, 6956, 627, 17, 13, 43405, 26767, 1749, 1701, 21349, 20314, 24198, 198, 2520, 1855, 1912, 315, 10807, 323, 11162, 2410, 8312, 16798, 1154, 11, 6767, 279, 9959, 11162, 323, 28334, 17738, 11, 323, 1505, 3284, 57790, 13, 1789, 3187, 11, 1005, 264, 2814, 26402, 311, 1817, 279, 2704, 315, 1855, 2410, 8312, 11, 323, 6767, 279, 9959, 8450, 1614, 19179, 3585, 743, 389, 1063, 21126, 13, 5560, 459, 32047, 66037, 2474, 311, 23846, 279, 45209, 11, 10474, 11, 477, 1524, 279, 9959, 70725, 8450, 13, 5560, 279, 70452, 48888, 311, 1505, 279, 70452, 2068, 13, 578, 3813, 323, 5353, 315, 279, 14867, 627, 18, 13, 48224, 950, 2585, 12414, 6987, 383, 8450, 323, 17035, 28137, 6492, 1749, 220, 21, 12035, 17035, 28137, 1115, 19813, 311, 5370, 5415, 323, 14867, 34824, 389, 5370, 14683, 323, 20314, 7766, 2737, 35876, 2585, 1887, 323, 59412, 1887, 11, 11093, 449, 21070, 2704, 323, 12435, 578, 734, 4096, 649, 387, 1511, 311, 1440, 279, 8970, 315, 279, 11470, 323, 279, 11384, 323, 69771, 5528, 13, 578, 3241, 17035, 15151, 430, 279, 57790, 304, 279, 1887, 3241, 11, 70452, 2068, 323, 98423, 2068, 439, 7633, 3485, 527, 6118, 3984, 449, 459, 17035, 3113, 13, 578, 3284, 14867, 11384, 323, 69771, 5528, 649, 387, 12457, 555, 27393, 279, 12882, 17035, 5219, 449, 279, 12435, 15439, 11470, 11630, 627, 19, 13, 20620, 2704, 1817, 1749, 198, 49552, 60797, 6067, 32172, 70452, 82, 304, 1124, 11, 323, 60797, 323, 70452, 19570, 449, 1855, 1023, 304, 264, 4101, 315, 3834, 17738, 13, 4427, 57790, 527, 5552, 311, 3834, 8450, 6103, 477, 4814, 13, 4427, 315, 1521, 3834, 17738, 649, 387, 12882, 389, 279, 12435, 3834, 4580, 323, 1988, 48116, 4580, 11, 323, 1063, 649, 387, 12882, 389, 279, 96134, 4264, 555, 4382, 5784, 11, 323, 682, 25066, 578, 8450, 649, 387, 2663, 709, 449, 279, 70452, 48888, 13, 1115, 26767, 1749, 7612, 279, 13709, 17274, 311, 387, 11537, 449, 279, 3834, 17738, 315, 279, 5780, 323, 311, 387, 11537, 449, 279, 3851, 315, 279, 70452, 48888, 627, 20, 13, 15521, 28174, 1749, 198, 34, 10153, 12414, 6987, 383, 60797, 1887, 11, 70452, 323, 59412, 6678, 1887, 527, 19167, 449, 1690, 1491, 23444, 5137, 311, 3449, 279, 8670, 315, 2204, 5780, 7526, 323, 2204, 3318, 4787, 13, 4314, 5137, 539, 1193, 2489, 279, 20314, 1887, 311, 279, 3230, 5780, 11, 719, 527, 1101, 5995, 311, 30536, 279, 5780, 596, 5865, 627, 55915, 11, 904, 2349, 304, 5137, 320, 36046, 24291, 5137, 8, 477, 1524, 4814, 374, 539, 5535, 26, 323, 4442, 304, 22936, 477, 20314, 6012, 9057, 555, 1317, 9860, 5784, 315, 279, 4288, 4950, 690, 1464, 279, 2926, 12864, 1614, 323, 26329, 1614, 13, 1115, 955, 315, 14867, 19813, 311, 279, 15629, 955, 315, 14867, 304, 279, 14867, 24790, 3857, 11, 323, 3966, 311, 387, 312, 60684, 291, 311, 832, 477, 810, 5137, 311, 387, 28544, 13, 1115, 1749, 374, 1633, 26192, 369, 13709, 17274, 13, 1102, 374, 539, 1193, 5995, 311, 1440, 279, 1925, 5137, 315, 279, 3230, 1887, 11, 719, 1101, 8964, 430, 1202, 2686, 374, 11537, 449, 1202, 734, 11, 323, 433, 706, 9257, 3217, 304, 20314, 28803, 627, 21, 13, 96305, 5596, 14039, 1749, 198, 4599, 279, 14867, 6492, 3135, 527, 38626, 389, 264, 3738, 17124, 16622, 4580, 11, 433, 374, 1633, 5107, 311, 4305, 279, 14867, 389, 264, 3738, 3158, 477, 1524, 264, 3738, 3777, 4245, 311, 279, 19815, 14800, 315, 279, 16622, 18052, 13, 763, 2015, 311, 8108, 279, 75954, 11, 279, 1890, 374, 837, 13, 9636, 279, 3044, 315, 24804, 5596, 11, 499, 649, 8454, 279, 24804, 5596, 1176, 11, 323, 1243, 1817, 279, 13023, 14867, 4580, 13, 11728, 6666, 311, 279, 2768, 5435, 994, 25935, 279, 24804, 5596, 4580, 13, 5884, 14039, 315, 24804, 5596, 2011, 387, 11953, 704, 304, 279, 1567, 315, 264, 2410, 8060, 627, 8607, 17124, 16622, 21126, 617, 1063, 32267, 477, 2875, 287, 16283, 311, 2489, 279, 5150, 3966, 13, 15636, 11, 433, 374, 5995, 311, 3335, 279, 4113, 3480, 2361, 323, 6376, 1614, 389, 279, 14039, 24804, 4580, 323, 1304, 279, 502, 4580, 279, 1890, 13, 10619, 11, 6062, 459, 17035, 690, 387, 8066, 323, 433, 690, 539, 990, 13, 4427, 17124, 16622, 4580, 54155, 1101, 1397, 1063, 3230, 7677, 1306, 14039, 311, 4686, 279, 3241, 323, 5137, 13, 1115, 7612, 16994, 5403, 315, 279, 11470, 369, 279, 8475, 4580, 13, 4427, 17124, 16622, 21126, 4250, 387, 6847, 7108, 11, 1778, 439, 21126, 449, 3318, 5044, 11, 477, 24804, 21988, 11, 902, 649, 9229, 5505, 5137, 477, 7620, 13, 1472, 2011, 1833, 279, 11470, 994, 499, 617, 311, 8454, 433, 13, 763, 1684, 315, 279, 3485, 4787, 11, 1603, 499, 4148, 279, 2362, 4580, 311, 8454, 279, 502, 4580, 11, 499, 2011, 15884, 1373, 279, 9959, 2038, 11, 323, 3619, 279, 8670, 323, 10565, 16346, 1603, 499, 1212, 11, 779, 439, 539, 311, 5353, 810, 5435, 627, 22, 13, 11511, 39160, 3571, 1749, 14867, 4580, 2085, 24804, 5596, 11, 279, 1890, 477, 18641, 1403, 21126, 304, 279, 1887, 649, 387, 958, 17805, 323, 10273, 11, 369, 3187, 11, 279, 9473, 315, 1403, 16580, 3290, 21126, 477, 59412, 21126, 649, 8417, 279, 14867, 4580, 477, 14867, 13, 3744, 13, 1115, 5425, 39160, 3571, 1749, 1288, 2343, 3361, 6666, 311, 539, 1193, 279, 4495, 9473, 315, 12035, 19358, 11, 719, 1101, 264, 4101, 315, 12435, 5137, 9473, 11, 6062, 433, 690, 539, 11322, 279, 7580, 11, 719, 690, 1893, 502, 57790, 14718, 22047, 315, 7422, 11, 2011, 387, 6646, 304, 12178, 1174, 2955, 264, 1695, 3241, 323, 12035, 9473, 2068, 11, 323, 1243, 9473, 323, 1817, 30357, 627, 23, 13, 9984, 6514, 1749, 578, 35876, 2585, 1887, 315, 279, 60797, 12414, 6987, 383, 706, 10862, 279, 4500, 6566, 315, 6812, 6108, 323, 1825, 84175, 13, 578, 3241, 2262, 374, 810, 323, 810, 44611, 11, 2737, 1887, 3241, 11, 5780, 5507, 7514, 3241, 11, 323, 1524, 3932, 6, 1866, 3241, 13, 24586, 311, 1063, 31352, 5435, 304, 279, 2955, 315, 3241, 12496, 11, 1063, 14867, 5415, 527, 539, 30239, 11, 1778, 439, 37237, 13, 1789, 420, 3169, 315, 14867, 25885, 11, 3361, 11193, 649, 387, 4529, 311, 3568, 449, 433, 13, 1789, 3187, 11, 279, 4459, 5780, 374, 23134, 1022, 11, 323, 1243, 81754, 1306, 264, 18579, 11, 323, 7170, 279, 14867, 1253, 387, 34373, 13, 39306, 17274, 649, 13488, 872, 7016, 477, 1023, 7524, 5528, 304, 872, 1317, 9860, 6725, 627, 57, 3524, 89, 17156, 526, 7557, 45206, 3623, 2637, 12604, 13, 539, 1193, 13777, 279, 6987, 383, 13709, 990, 11, 719, 1101, 31878, 12414, 326, 589, 288, 11, 2737, 60797, 2033, 26005, 12414, 6987, 383, 31166, 4103, 4101, 11, 60797, 2033, 26005, 12414, 6987, 383, 14499, 43, 4101, 323, 3254, 26005, 6987, 383, 356, 18625, 17, 11, 5099, 13, 3161, 810, 1109, 220, 508, 1667, 315, 3217, 11, 279, 2883, 374, 264, 22936, 8863, 2883, 54952, 2955, 11, 15266, 11, 14956, 11, 14028, 11, 12396, 287, 323, 1306, 96768, 13, 20776, 502, 323, 2362, 6444, 311, 2586, 323, 3780, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 3923, 374, 220, 5313, 92668, 468, 2871, 1753, 99267, 35005, 5380, 3923, 2209, 220, 5313, 480, 13183, 48953, 36361, 30, 482, 7531, 24271, 323, 38343, 520, 21069, 1924, 11, 279, 1176, 21210, 430, 6835, 499, 459, 7833, 4320, 198, 5313, 342, 13183, 19358, 13861, 7064, 859, 539, 23468, 10489, 1781, 1202, 279, 11863, 1672, 10733, 602, 617, 502, 11863, 323, 7064, 859, 1202, 927, 23468, 279, 2132, 11863, 482, 36231, 612, 86435, 22854, 555, 26875, 198, 2028, 374, 4156, 3185, 19358, 315, 220, 3753, 20, 92668, 34785, 13, 9369, 279, 6945, 311, 4232, 13, 9369, 1618, 311, 1684, 279, 1203, 3185, 19358, 315, 220, 3753, 20, 92668, 11092, 198, 5313, 342, 13183, 19358, 13861, 11863, 539, 23468, 502, 7064, 859, 3651, 426, 71286, 2132, 11863, 927, 23468, 482, 36231, 612, 86435, 22854, 555, 26875, 198, 10001, 369, 220, 5313, 342, 13183, 19358, 13861, 5234, 15535, 7286, 50261, 220, 5313, 342, 13183, 19358, 13861, 482, 510, 9619, 6207, 60, 220, 22869, 23, 31572, 571, 220, 16367, 20, 26068, 2754, 220, 5313, 342, 13183, 19358, 13861, 482, 8797, 8745, 198, 13347, 2052, 358, 1097, 304, 1205, 315, 264, 19358, 13861, 369, 459, 220, 5313, 92668, 328, 868, 11092, 13, 3639, 358, 1205, 374, 279, 13861, 369, 279, 36108, 430, 9903, 311, 279, 31990, 10879, 304, 279, 24858, 627, 14809, 22559, 25, 9369, 389, 2723, 3770, 323, 9236, 1523, 311, 27861, 220, 3753, 20, 369, 19358, 13861, 25, 1795, 1129, 2185, 24533, 8855, 916, 2754, 4663, 14, 24640, 66645, 90578, 7927, 2592, 369, 92668, 9244, 2038, 11, 19358, 2038, 11, 11156, 1520, 369, 701, 502, 477, 1511, 7458, 11, 92668, 11, 27766, 48953, 36361, 82, 11, 9244, 2038, 11, 53221, 72, 5864, 198, 93995, 220, 21, 220, 4468, 18, 12, 3753, 20, 449, 18879, 51259, 36108, 304, 279, 19358, 47287, 430, 527, 264, 961, 315, 1521, 11470, 13, 4314, 5219, 527, 22655, 13160, 389, 279, 36108, 5694, 627, 5313, 342, 13183, 274, 868, 4817, 13861, 482, 48953, 36361, 482, 220, 2550, 23, 328, 605, 328, 868, 445, 12328, 2563, 23697, 8364, 33170, 48953, 36361, 82, 1389, 24748, 602, 617, 1063, 502, 68144, 19358, 264, 198, 2618, 482, 9303, 11670, 19722, 86435, 871, 578, 220, 4468, 18, 482, 220, 3753, 22, 43477, 612, 92668, 20305, 8772, 4961, 8925, 2564, 5606, 2751, 1063, 19358, 47287, 369, 264, 220, 5958, 12, 4044, 11092, 30, 279, 19358, 389, 856, 220, 1490, 374, 4856, 2564, 4427, 6392, 1618, 1795, 1129, 2185, 5442, 15954, 1557, 14029, 99418, 11014, 916, 14, 2813, 96692, 2054, 2628, 98726, 2212, 389, 279, 2816, 1070, 374, 1063, 1023, 47287, 12515, 11180, 7458, 19358, 25, 220, 3753, 17, 12, 5313, 92668, 328, 868, 75560, 73075, 48953, 8245, 198, 15777, 34785, 45615, 871, 45034, 2564, 358, 617, 264, 33277, 3330, 704, 315, 264, 220, 5313, 98010, 11092, 323, 1053, 1093, 311, 1440, 422, 4423, 706, 264, 13861, 315, 1148, 1933, 9244, 5900, 311, 1148, 13, 358, 1097, 13126, 27730, 433, 304, 856, 220, 3076, 11, 719, 1205, 264, 2697, 1520, 389, 1148, 9244, 5900, 311, 1148, 627, 86, 6322, 13861, 220, 5313, 342, 13183, 274, 868, 482, 48953, 36361, 482, 220, 2550, 23, 328, 605, 328, 868, 445, 12328, 2563, 23697, 8364, 33170, 48953, 36361, 82, 1389, 24748, 602, 617, 1063, 502, 68144, 19358, 264, 198, 16533, 220, 3753, 20, 92668, 328, 12, 868, 220, 19, 55, 19, 19358, 13861, 3234, 499, 1205, 279, 2547, 19358, 13861, 11, 279, 12411, 4817, 2585, 19358, 13861, 11, 477, 279, 7188, 4817, 2585, 19358, 13861, 369, 264, 220, 3753, 20, 328, 12, 868, 28933, 220, 19, 55, 19, 7801, 3639, 1404, 4817, 1587, 701, 92668, 617, 30, 358, 1053, 387, 6380, 311, 8737, 856, 921, 16695, 596, 47287, 323, 2613, 1124, 12515, 1213, 955, 25, 662, 5349, 24884, 555, 25, 272, 73702, 10033, 21685, 25, 13861, 86, 6322, 5181, 2592, 2316, 25, 220, 2550, 21, 10, 70, 13183, 10, 942, 7942, 66205, 6322, 10, 8747, 5864, 765, 36361, 54, 6322, 37615, 2592, 4096, 25, 1472, 690, 8935, 505, 1701, 20658, 19358, 47287, 422, 499, 3197, 389, 27666, 20314, 19358, 7224, 304, 701, 2162, 627, 8586, 258, 499, 690, 1518, 264, 19358, 13861, 315, 279, 220, 3753, 22, 92668, 34785, 13, 763, 220, 3753, 22, 11, 19722, 5614, 279, 356, 33954, 308, 89947, 1598, 311, 432, 28332, 13, 2052, 21787, 1051, 1457, 10633, 41772, 4669, 666, 28635, 14285, 54911, 320, 51, 8768, 4390, 14809, 22559, 25, 7429, 1817, 704, 1795, 1129, 2185, 13, 3080, 12, 5332, 1557, 14029, 376, 15954, 916, 433, 374, 832, 315, 279, 7928, 323, 1455, 4642, 220, 5958, 12, 4044, 58398, 16169, 11865, 11092, 1984, 21126, 499, 690, 1505, 627, 25729, 701, 459, 6335, 92668, 3804, 60159, 6505, 31591, 44152, 11, 92668, 3804, 60159, 97899, 11, 477, 264, 72645, 92668, 3804, 60159, 61912, 449, 264, 220, 3753, 20, 92668, 3804, 60159, 11, 264, 1841, 39052, 19358, 13861, 649, 3665, 6261, 264, 2763, 315, 892, 627, 5313, 480, 13183, 34785, 48953, 36361, 29250, 17833, 74847, 50261, 13, 220, 5313, 342, 13183, 11092, 19358, 13861, 13072, 3626, 482, 510, 9619, 6207, 60, 220, 5313, 342, 13183, 11092, 19358, 13861, 13072, 3626, 482, 8797, 8745, 198, 11180, 7458, 19358, 25, 220, 3753, 17, 12, 5313, 92668, 28933, 328, 92831, 73075, 48953, 8245, 198, 6, 5313, 92668, 36903, 2269, 2992, 39052, 19358, 30, 578, 68144, 304, 856, 921, 16695, 596, 374, 20025, 2531, 1260, 13, 4740, 25394, 1268, 279, 502, 39052, 574, 10487, 304, 279, 11092, 449, 279, 3766, 6506, 11, 358, 1205, 1520, 311, 2867, 709, 813, 88637, 13, 2564, 3234, 499, 617, 279, 19358, 13861, 369, 279, 20064, 290, 9722, 5380, 10086, 2294, 12789, 389, 31006, 369, 220, 3753, 20, 99267, 35005, 323, 220, 3753, 20, 342, 13183, 19358, 13861, 13, 14355, 449, 12410, 627, 1, 3753, 24, 8828, 36689, 34785, 432, 28332, 11, 393, 27972, 48953, 36361, 82, 1, 34991, 369, 92668, 62296, 30126, 11, 420, 8803, 2320, 11931, 4113, 19358, 13861, 5039, 499, 1268, 311, 1833, 279, 19358, 505, 59985, 4791, 1481, 24988, 627, 2675, 690, 1518, 264, 220, 5313, 30300, 75560, 48953, 36361, 4817, 477, 2410, 6134, 32776, 304, 701, 13, 2564, 26868, 315, 220, 5313, 30300, 75560, 48953, 36361, 3187, 374, 220, 5313, 30300, 75560, 48953, 36361, 13, 27399, 47287, 1148, 342, 13183, 597, 308, 89947, 1598, 13, 34785, 5596, 13001, 520, 5825, 31831, 323, 584, 627, 7816, 48953, 47287, 369, 9515, 323, 27861, 3580, 1193, 46029, 57098, 48953, 47287, 369, 9515, 323, 27861, 4860, 26, 2564, 11208, 649, 602, 3780, 264, 3321, 19358, 33508, 369, 856, 220, 5313, 342, 13183, 13, 2650, 311, 8454, 14981, 3321, 220, 5313, 342, 13183, 13, 220, 5313, 96544, 2465, 1949, 40508, 19358, 47287, 13, 36361, 14981, 3321, 53992, 12515, 3852, 606, 617, 19358, 13861, 369, 220, 5313, 272, 605, 30, 18591, 220, 16, 311, 220, 20, 315, 220, 20, 2564, 220, 2550, 20, 92668, 482, 48953, 13861, 949, 3296, 83750, 4091, 304, 12111, 92668, 34785, 17997, 64439, 25, 220, 1032, 8155, 3962, 25, 220, 717, 12, 717, 12, 1049, 24, 11, 220, 2589, 25, 4331, 5975, 13, 19358, 13861, 13, 3296, 27275, 19902, 304, 12111, 58398, 34785, 17997, 198, 25729, 701, 459, 6335, 92668, 328, 868, 75560, 6505, 31591, 44152, 11, 92668, 328, 868, 75560, 97899, 11, 477, 264, 72645, 92668, 328, 868, 75560, 61912, 449, 264, 220, 3753, 20, 92668, 328, 868, 75560, 11, 264, 1841, 39052, 19358, 13861, 649, 3665, 6261, 264, 2763, 315, 892, 627, 40, 1205, 264, 19358, 13861, 369, 264, 220, 5313, 342, 13183, 272, 3965, 15, 10213, 1120, 369, 279, 24858, 198, 1, 42094, 36689, 34785, 5475, 14881, 43491, 220, 5313, 92668, 86435, 1, 48953, 36361, 82, 4925, 28239, 34199, 2718, 25, 47467, 488, 25, 1115, 1537, 374, 4113, 13, 33123, 25, 220, 806, 13, 410, 865, 220, 23, 13, 1135, 2564, 220, 3753, 20, 58398, 323, 92668, 19111, 921, 33567, 61573, 412, 48953, 36361, 17674, 426, 21, 47, 22349, 400, 777, 13, 410, 220, 3753, 20, 43477, 25352, 36689, 34785, 14355, 14881, 43491, 12515, 5313, 348, 438, 5808, 20314, 13861, 1949, 58610, 4232, 477, 1373, 2930, 389, 3092, 1255, 4845, 10616, 89, 916, 482, 58752, 45034, 48953, 36361, 84562, 482, 9648, 9451, 454, 220, 4645, 198, 9241, 649, 499, 1505, 264, 1949, 19358, 13861, 369, 264, 220, 3753, 20, 342, 13183, 96544, 2465, 220, 19, 865, 220, 19, 30, 3234, 499, 1205, 279, 2547, 19358, 13861, 11, 279, 12411, 4817, 2585, 19358, 13861, 11, 477, 279, 7188, 4817, 2585, 19358, 13861, 369, 264, 220, 3753, 20, 328, 12, 868, 28933, 220, 19, 55, 19, 7801, 3639, 1404, 4817, 1587, 701, 92668, 617, 5380, 10001, 369, 220, 5313, 98010, 11092, 9244, 47287, 5234, 15535, 7286, 50261, 220, 5313, 98010, 11092, 9244, 47287, 482, 510, 9619, 6207, 60, 220, 22869, 23, 31572, 571, 220, 16367, 20, 26068, 2754, 220, 5313, 98010, 11092, 9244, 47287, 482, 8797, 8745, 198, 54, 6322, 13861, 4460, 12632, 612, 38784, 13, 342, 1026, 5262, 436, 33757, 17997, 13, 8618, 26, 12332, 26, 2724, 15643, 26, 17263, 26, 11450, 596, 15781, 26, 7694, 26, 32072, 551, 19722, 15992, 14285, 482, 220, 4468, 18, 2564, 220, 5313, 92668, 36903, 22591, 735, 3965, 15, 220, 8652, 14, 1016, 8652, 20906, 47, 12171, 220, 605, 33, 337, 2641, 220, 18, 13, 5958, 596, 3929, 1277, 1129, 2185, 25118, 5262, 2664, 916, 63235, 35275, 4629, 2348, 69754, 28, 19057, 198, 10086, 1888, 907, 323, 6727, 369, 701, 13792, 19358, 94999, 41862, 92668, 36903, 220, 5313, 220, 4218, 220, 4044, 2778, 389, 31006, 13, 4435, 596, 6522, 30633, 627, 24581, 19358, 13861, 369, 459, 364, 5313, 58398, 356, 966, 328, 1553, 2172, 11092, 34011, 36912, 25, 3297, 220, 777, 220, 679, 17, 11, 220, 2705, 25, 2705, 5975, 320, 16, 11, 25687, 25987, 8, 74239, 10654, 11603, 25, 2564, 3277, 358, 5918, 856, 220, 5833, 480, 13183, 358, 7882, 682, 279, 4106, 36108, 311, 279, 50977, 323, 2682, 279, 46121, 449, 1464, 388, 627, 10031, 3649, 25, 220, 5162, 23, 58398, 612, 92668, 34785, 48953, 36361, 3744, 49182, 34651, 12, 2614, 18023, 48953, 47287, 527, 20225, 29470, 315, 701, 27861, 19358, 323, 4135, 6329, 6067, 13, 7648, 19358, 47287, 3493, 11944, 45543, 315, 20314, 32267, 3235, 449, 1584, 13633, 44713, 315, 19358, 33508, 288, 9204, 9244, 31990, 12515, 2618, 482, 1510, 11670, 38979, 27861, 871, 279, 220, 4468, 18, 482, 220, 3753, 22, 3091, 38420, 612, 342, 13183, 93138, 1984, 4580, 5606, 2751, 1063, 19358, 47287, 369, 264, 220, 5958, 12, 4044, 11092, 30, 279, 19358, 389, 856, 220, 1490, 374, 7531, 1579, 4367, 342, 13183, 5596, 505, 5596, 28788, 927, 220, 16, 3610, 5596, 304, 5708, 2561, 520, 3428, 7729, 449, 5043, 11862, 323, 220, 1187, 12515, 17245, 242, 17245, 242, 17245, 242, 578, 2768, 20314, 19358, 13861, 17208, 369, 220, 1049, 15, 68689, 220, 13655, 49, 35404, 4211, 13, 5810, 258, 11, 499, 690, 1505, 4686, 4096, 449, 10015, 40134, 389, 20314, 1887, 11, 9244, 33508, 11, 69771, 11, 2532, 323, 13709, 7754, 315, 220, 1049, 15, 68689, 220, 13655, 49, 627, 11180, 1841, 39052, 323, 1841, 9063, 14028, 5211, 13, 15166, 555, 3094, 14028, 11470, 4686, 449, 7397, 11, 5507, 1160, 11, 323, 19358, 7872, 627, 3923, 499, 1373, 1618, 374, 279, 68144, 369, 279, 220, 5162, 19, 10846, 3647, 3454, 435, 12, 5313, 3744, 220, 17, 1226, 7079, 430, 499, 8666, 279, 19358, 13861, 369, 220, 5162, 19, 10846, 3647, 3454, 435, 12, 5313, 3744, 220, 16, 1115, 19358, 13861, 389, 279, 1314, 10846, 3647, 3454, 374, 315, 6956, 1778, 439, 13001, 11, 21281, 11, 2410, 3480, 11, 32530, 11, 9499, 31990, 5089, 9048, 11, 21281, 12515, 27941, 38420, 11092, 2010, 4238, 19358, 13861, 13, 14967, 19358, 68144, 369, 58398, 11092, 88720, 13, 48953, 13861, 369, 9986, 13001, 13, 37179, 3177, 19358, 68144, 627, 38, 11865, 28876, 53427, 28643, 3680, 84066, 25362, 1507, 51761, 3651, 99267, 35005, 50, 482, 38535, 92668, 3680, 84066, 6570, 36746, 45373, 17773, 72306, 15334, 5257, 59127, 15281, 1268, 311, 13023, 264, 1841, 477, 11092, 11, 4685, 477, 4148, 5596, 11, 9244, 459, 4817, 11, 7738, 10163, 13001, 11, 8454, 10633, 4141, 11, 5155, 3313, 2547, 323, 810, 627, 40, 2751, 459, 2613, 3432, 449, 264, 2294, 2723, 13, 9156, 15723, 8158, 19358, 47287, 369, 1690, 9515, 323, 27861, 369, 1949, 13, 1102, 1101, 706, 264, 13057, 3392, 315, 13023, 51307, 198, 30431, 12381, 323, 48953, 48125, 45635, 3341, 28266, 41994, 3341, 25274, 2360, 5014, 3341, 73075, 28266, 68954, 477, 10807, 37543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 50342, 3394, 2007, 3953, 198, 3112, 690, 1070, 387, 2643, 387, 2555, 810, 27331, 779, 430, 499, 649, 387, 10887, 30, 4054, 810, 3245, 499, 2011, 5357, 389, 374, 33373, 11, 69428, 3363, 12109, 449, 757, 26243, 389, 8068, 362, 323, 499, 389, 8068, 426, 13, 1226, 3448, 291, 10594, 3545, 6076, 4306, 15449, 706, 1027, 3967, 311, 387, 10815, 311, 279, 11, 24950, 505, 9633, 12933, 311, 2007, 3953, 13, 15668, 1695, 11813, 922, 279, 3962, 309, 1900, 11, 4048, 311, 1514, 304, 12109, 505, 2835, 21481, 311, 597, 12052, 13, 32833, 1949, 311, 2586, 1203, 1618, 3629, 311, 1518, 1148, 775, 374, 502, 449, 279, 12109, 11, 69428, 3363, 12109, 279, 9650, 1053, 387, 311, 23935, 2867, 315, 12109, 16087, 13, 24845, 374, 1888, 2917, 2788, 1555, 279, 1005, 315, 2383, 323, 2015, 11, 69428, 3363, 12109, 1778, 264, 3245, 374, 43303, 13, 578, 892, 4124, 369, 9889, 374, 279, 1890, 369, 682, 2561, 3827, 1667, 11, 912, 16946, 33321, 2363, 20481, 1879, 709, 627, 8142, 584, 2834, 1431, 1440, 369, 2771, 3156, 814, 17782, 11, 779, 50712, 3932, 690, 4461, 1390, 311, 9396, 449, 279, 469, 2382, 477, 9558, 55827, 2582, 8385, 13, 1115, 374, 994, 499, 1101, 617, 311, 8891, 279, 5729, 12562, 315, 279, 2800, 315, 279, 2007, 11, 1057, 74590, 34945, 304, 279, 11546, 5699, 13, 21815, 704, 369, 1063, 57399, 323, 13548, 69428, 16087, 11, 379, 263, 27269, 9633, 12933, 8519, 38668, 13, 6104, 279, 1847, 649, 387, 304, 279, 2851, 753, 4799, 11, 80604, 13, 362, 17444, 499, 6755, 922, 374, 2085, 264, 10712, 5505, 11, 426, 4575, 47957, 13, 5414, 88826, 1903, 430, 9024, 9320, 505, 23583, 6566, 311, 9698, 323, 12707, 11, 5348, 33731, 5099, 13, 9843, 1578, 11, 1070, 527, 16280, 11758, 315, 11028, 449, 13548, 6037, 62990, 311, 2567, 279, 1847, 13548, 13, 8618, 287, 389, 1057, 11349, 12109, 6732, 374, 6724, 1949, 315, 2853, 11, 9966, 13, 5422, 9547, 4920, 279, 9889, 315, 4113, 3956, 369, 279, 15155, 586, 527, 279, 8333, 11, 323, 22939, 8863, 315, 34751, 323, 86304, 13, 7648, 2586, 449, 37943, 788, 33321, 323, 2773, 437, 902, 1855, 2851, 649, 4774, 11, 323, 58191, 3876, 1124, 1555, 1008, 13254, 13, 763, 1023, 4339, 11, 9849, 82474, 13, 1283, 7020, 430, 499, 1053, 539, 387, 10619, 449, 1461, 2133, 311, 279, 12109, 11, 889, 617, 810, 1109, 220, 508, 1667, 304, 279, 2626, 627, 40, 5289, 9633, 5780, 1493, 2082, 220, 717, 264, 10508, 2851, 3250, 1431, 636, 6532, 304, 1690, 6206, 11, 4848, 649, 1005, 279, 6962, 25199, 13, 3639, 374, 810, 23649, 374, 430, 279, 8158, 527, 2561, 369, 5127, 11, 2380, 649, 1005, 21363, 323, 2380, 649, 1005, 279, 23677, 19037, 13, 1102, 374, 2736, 1694, 1511, 369, 14507, 11, 4184, 311, 279, 16290, 96342, 8245, 5955, 13, 3861, 649, 6725, 520, 4661, 904, 2237, 313, 1527, 6913, 11, 4619, 315, 1701, 65693, 12518, 304, 4799, 315, 701, 10077, 28592, 3339, 701, 10077, 1934, 47989, 13, 13428, 374, 279, 3117, 2731, 9341, 369, 220, 2366, 15, 11, 1888, 1648, 374, 311, 387, 99578, 13, 1102, 374, 2731, 311, 3780, 279, 220, 19, 11, 323, 374, 832, 315, 279, 2478, 2835, 16087, 8040, 555, 420, 12109, 3241, 9287, 627, 12572, 279, 28361, 304, 3974, 12109, 198, 11764, 279, 10736, 311, 701, 18355, 15435, 596, 2686, 369, 6220, 10494, 13, 482, 311, 4662, 25, 505, 701, 18355, 15435, 11, 9901, 499, 369, 10923, 757, 311, 4068, 13, 578, 3300, 14117, 389, 279, 25664, 323, 6118, 374, 539, 430, 1579, 11, 622, 8512, 356, 47469, 13, 816, 263, 27269, 9633, 12933, 499, 690, 387, 2728, 279, 9633, 323, 499, 690, 1205, 311, 4295, 433, 3131, 311, 1304, 701, 1176, 12903, 11, 323, 6941, 33680, 13, 350, 1862, 779, 1120, 1373, 9633, 1847, 11, 9901, 499, 369, 420, 1772, 13, 40551, 5912, 2343, 4791, 27642, 220, 18, 35, 9633, 5780, 3953, 374, 38048, 30311, 11, 7008, 13, 28468, 43177, 3085, 5190, 90629, 323, 5129, 21448, 11, 1561, 17340, 13, 3277, 701, 7491, 374, 32485, 11, 37355, 13, 1442, 279, 9269, 374, 3604, 11763, 3629, 3403, 11, 32603, 13, 11964, 750, 5526, 30778, 449, 10077, 369, 279, 69428, 11, 28702, 13, 1628, 9633, 3953, 1520, 499, 1514, 810, 11, 6890, 627, 11087, 536, 3779, 25, 330, 32, 2763, 315, 1274, 3041, 872, 18512, 311, 872, 76021, 311, 3802, 1203, 3827, 16337, 323, 2646, 3802, 505, 279, 56374, 11, 323, 279, 2134, 13, 81567, 13592, 11911, 389, 279, 15664, 9306, 369, 3009, 32390, 304, 279, 3185, 29076, 11, 2930, 18355, 12109, 3243, 1972, 8515, 912, 16946, 13, 13440, 499, 649, 3060, 636, 499, 3243, 1972, 3300, 912, 34751, 11, 11262, 84, 936, 71, 56053, 12109, 1903, 757, 32399, 13085, 433, 13, 358, 2846, 14470, 2771, 1148, 3300, 374, 2834, 374, 2834, 555, 264, 8945, 70566, 26429, 11, 719, 1070, 527, 1403, 4382, 5718, 994, 433, 4131, 311, 14713, 1523, 279, 12109, 596, 6964, 311, 439, 3428, 439, 3284, 304, 2380, 3786, 21481, 13, 763, 2015, 311, 387, 3025, 311, 3493, 3600, 311, 10495, 11754, 555, 279, 11501, 11, 1880, 7010, 1208, 3682, 13109, 951, 4865, 9189, 86768, 89, 6316, 71080, 31127, 1604, 409, 312, 30532, 13, 328, 10358, 2917, 59548, 1891, 88845, 77230, 264, 3091, 42614, 21252, 483, 436, 9334, 58132, 6496, 1008, 69003, 548, 11, 44351, 1744, 951, 4787, 409, 57459, 1744, 9189, 3567, 23577, 69241, 404, 33670, 409, 68226, 665, 936, 74333, 1208, 4647, 71933, 1794, 2727, 294, 6, 77217, 15783, 360, 8047, 627, 9673, 35936, 1053, 1520, 38263, 279, 502, 5718, 11, 22996, 61018, 273, 9633, 5780, 499, 1288, 387, 5644, 311, 1935, 264, 3738, 3392, 315, 294, 853, 13, 3658, 3953, 220, 20, 57382, 9633, 5780, 1455, 1510, 26767, 5439, 6821, 323, 3691, 5842, 505, 1614, 2890, 5089, 11, 1778, 439, 701, 12708, 13, 35403, 682, 16946, 5528, 3085, 9888, 7901, 3115, 520, 420, 2816, 11, 1070, 374, 10034, 26243, 13, 1442, 499, 1390, 311, 2567, 701, 87449, 6220, 11, 1949, 3953, 220, 20, 57382, 9633, 5780, 520, 3325, 304, 264, 2478, 5415, 13, 5751, 1566, 28782, 369, 499, 374, 311, 4822, 33519, 11, 502, 12109, 8736, 4311, 1288, 1101, 1427, 704, 369, 279, 42497, 20595, 994, 2380, 477, 810, 38067, 18210, 5101, 12660, 389, 279, 4264, 13, 21115, 3953, 2997, 1778, 27672, 439, 58362, 323, 21481, 11, 1023, 1109, 19486, 856, 18528, 18222, 6913, 8446, 20157, 13, 1796, 315, 2930, 12109, 3953, 279, 12306, 4883, 10548, 994, 499, 4686, 701, 1949, 45858, 11, 584, 649, 2646, 636, 264, 2860, 315, 2380, 439, 584, 1541, 1431, 617, 264, 1403, 323, 264, 832, 13, 3206, 40863, 832, 315, 279, 8706, 58286, 311, 5737, 304, 279, 2930, 12109, 1917, 927, 279, 4363, 6108, 832, 374, 279, 26762, 1358, 315, 12109, 33321, 499, 649, 3802, 994, 5737, 520, 12109, 6732, 11, 323, 279, 21187, 16846, 555, 18054, 279, 6710, 505, 279, 4580, 11622, 323, 4737, 1202, 2543, 627, 49387, 12109, 33321, 198, 791, 38088, 12496, 315, 279, 1887, 374, 430, 499, 2011, 3243, 832, 1297, 11, 279, 1925, 6037, 994, 1701, 904, 8446, 3582, 374, 311, 2646, 8493, 810, 8515, 1109, 499, 7347, 6261, 311, 994, 499, 1176, 3940, 26243, 13, 1472, 527, 539, 7347, 311, 1193, 3953, 11, 9633, 5780, 917, 1972, 3300, 499, 1176, 1205, 311, 4254, 369, 279, 11060, 5057, 35602, 2123, 18629, 13, 9176, 315, 279, 2835, 15744, 1847, 2671, 3085, 264, 9269, 2373, 779, 499, 649, 617, 264, 733, 369, 1949, 1603, 5737, 449, 1972, 3300, 11, 1514, 1949, 12109, 3953, 369, 2523, 279, 3878, 323, 4787, 2586, 304, 1450, 304, 23391, 430, 499, 2680, 279, 12306, 304, 2458, 2786, 323, 26420, 430, 279, 6130, 1587, 539, 41587, 279, 3878, 304, 904, 1648, 439, 433, 1053, 3219, 701, 12306, 742, 13, 32495, 12109, 3241, 439, 1475, 12306, 304, 279, 3157, 11, 1070, 753, 1101, 264, 58362, 69428, 2561, 13, 1226, 4024, 311, 4950, 4661, 7214, 1306, 1057, 14177, 11, 4869, 13, 578, 92746, 10690, 17366, 7376, 389, 6186, 220, 717, 11, 1949, 7757, 12109, 25725, 358, 7070, 4017, 856, 1957, 311, 279, 10175, 7228, 1297, 439, 264, 50048, 627, 2170, 499, 1440, 11, 264, 1912, 315, 1274, 279, 12109, 6325, 439, 872, 1948, 58355, 8403, 13, 53448, 1167, 13722, 11, 11104, 16847, 5657, 13, 15371, 8128, 369, 11434, 449, 958, 1039, 60692, 7766, 527, 4726, 22340, 11, 279, 35684, 34681, 57728, 12109, 5234, 432, 19031, 33112, 5657, 13, 6075, 3115, 2873, 1695, 323, 6130, 2532, 24005, 617, 1027, 7633, 439, 11190, 18403, 11, 323, 20217, 12279, 8255, 17026, 527, 7559, 520, 279, 20396, 311, 1057, 22541, 482, 1120, 264, 4321, 13, 29524, 2231, 11, 13260, 12141, 13, 5075, 79170, 3953, 25, 2684, 527, 25975, 1405, 4311, 1253, 617, 311, 4232, 3927, 6505, 3953, 1603, 5737, 11, 477, 19665, 7558, 31551, 3201, 505, 701, 2816, 29870, 809, 2574, 264, 2766, 810, 41308, 398, 627, 2675, 690, 1101, 387, 2631, 311, 617, 1063, 6913, 7241, 1093, 264, 6500, 449, 264, 43495, 11, 16946, 33321, 323, 1879, 5352, 21845, 13, 40461, 287, 10604, 374, 6319, 311, 21818, 3347, 46616, 323, 1139, 279, 4851, 11, 1514, 369, 1949, 389, 12109, 12933, 279, 2851, 2011, 5268, 1990, 1403, 2671, 13, 2435, 617, 264, 8941, 315, 3953, 505, 279, 1888, 13707, 304, 279, 2626, 323, 264, 2307, 4228, 311, 1005, 3997, 11, 636, 3940, 449, 420, 917, 323, 636, 44937, 7446, 13, 47745, 436, 8503, 1208, 5780, 13988, 4558, 451, 45575, 61852, 81235, 3869, 1208, 7809, 57288, 951, 69236, 9952, 1208, 2007, 951, 20192, 1880, 8065, 55056, 425, 951, 38847, 11, 3249, 539, 1296, 704, 701, 6677, 520, 1057, 11349, 2930, 25725, 13335, 13, 1472, 649, 6288, 7598, 311, 279, 14930, 7199, 3857, 311, 11537, 553, 6261, 449, 682, 279, 11193, 27167, 311, 6106, 279, 51841, 315, 1855, 16211, 15632, 11, 584, 4805, 37455, 389, 28681, 61970, 13, 4946, 602, 3243, 520, 279, 12109, 18396, 1070, 527, 220, 868, 2322, 55422, 11, 435, 361, 839, 555, 46661, 6515, 53929, 13, 1556, 2713, 389, 3682, 5054, 4455, 11, 420, 374, 539, 1633, 4279, 323, 422, 499, 1505, 264, 12109, 10209, 420, 3392, 499, 1288, 387, 36204, 3614, 449, 5403, 279, 12306, 3878, 13, 27740, 398, 1070, 527, 220, 17, 11, 2636, 2930, 5029, 6732, 3600, 304, 279, 34815, 7636, 11, 48713, 436, 8503, 12868, 19649, 737, 52409, 55471, 6529, 36431, 84901, 19120, 265, 42638, 627, 20171, 25725, 7296, 323, 4092, 198, 1687, 4070, 3970, 430, 3674, 16211, 374, 264, 1317, 1648, 7108, 505, 8441, 709, 459, 2759, 449, 701, 2653, 12, 58700, 8515, 323, 1243, 25725, 433, 43071, 520, 304, 3786, 3953, 477, 16087, 11, 499, 649, 3539, 264, 5526, 1749, 2663, 6068, 11862, 13, 1226, 5131, 656, 539, 7079, 5737, 520, 8797, 58726, 38668, 11, 1405, 279, 14290, 13777, 433, 369, 499, 13, 8840, 856, 39526, 11, 889, 6944, 311, 3243, 3300, 304, 279, 12109, 719, 1521, 527, 279, 13363, 13, 1628, 439, 279, 1193, 2254, 25605, 2930, 21481, 2816, 449, 5361, 40161, 11, 904, 15055, 499, 3243, 449, 430, 12306, 690, 14614, 387, 9967, 304, 701, 12306, 8335, 13, 7429, 279, 5540, 389, 279, 4264, 11, 66583, 12109, 323, 690, 1193, 387, 23217, 311, 701, 8515, 8335, 3131, 499, 4686, 279, 56443, 287, 16686, 13, 10180, 5944, 9266, 490, 344, 6438, 8518, 323, 3678, 23218, 11, 66583, 12109, 902, 1436, 1121, 304, 67129, 14955, 5042, 1606, 814, 527, 49920, 323, 4250, 4097, 279, 1972, 4787, 520, 279, 892, 315, 264, 10121, 13, 15936, 323, 1825, 279, 6134, 311, 264, 502, 1917, 11, 889, 6944, 311, 3243, 3300, 304, 279, 12109, 1521, 3953, 690, 2343, 4827, 7863, 311, 1023, 3953, 13, 1472, 649, 1243, 1935, 264, 1427, 520, 6205, 7356, 902, 706, 279, 8292, 369, 8441, 3626, 11, 430, 602, 627, 9290, 430, 279, 4272, 87449, 311, 264, 5089, 11, 21533, 24400, 389, 279, 7434, 315, 597, 4988, 13, 13596, 7185, 8993, 304, 279, 33100, 315, 9500, 20103, 374, 5960, 328, 8869, 1891, 4610, 455, 6733, 11, 15369, 25725, 502, 73539, 902, 374, 1101, 46728, 304, 279, 2883, 753, 9131, 5224, 13, 1115, 690, 2187, 701, 30758, 10025, 261, 311, 7172, 433, 389, 279, 2807, 10018, 323, 539, 11196, 922, 264, 14459, 389, 279, 357, 977, 4285, 6134, 48728, 709, 279, 2800, 315, 279, 3070, 11, 13481, 12855, 323, 9192, 71478, 13, 23212, 11, 779, 1304, 2771, 499, 3041, 15347, 50, 2914, 6505, 12109, 10844, 304, 701, 23732, 13, 11511, 1178, 3953, 315, 420 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2059, 120970, 5348, 753, 468, 19011, 350, 552, 374, 279, 1455, 65516, 2785, 315, 6603, 11, 279, 3169, 430, 29972, 311, 387, 7191, 1109, 279, 2694, 315, 1202, 5596, 13, 1102, 4536, 1431, 7636, 304, 430, 13, 2684, 527, 11510, 315, 6603, 430, 1288, 387, 51249, 16038, 323, 99733, 369, 8996, 2944, 13, 1628, 3686, 814, 7784, 1431, 13, 2435, 649, 1431, 387, 11, 1606, 17354, 814, 10205, 3485, 7234, 4819, 11, 477, 3752, 4819, 477, 904, 1396, 315, 11003, 12018, 21041, 311, 387, 29722, 323, 48206, 3210, 34898, 13, 9086, 481, 1981, 258, 34781, 315, 5694, 13, 468, 19011, 350, 552, 1587, 682, 430, 25, 6835, 279, 6742, 264, 7234, 430, 86301, 311, 617, 1202, 30791, 17604, 20349, 15246, 26, 5885, 430, 527, 5438, 68653, 26, 323, 264, 4689, 8430, 430, 279, 1193, 1648, 311, 7417, 279, 6671, 374, 311, 2571, 279, 2363, 2403, 279, 24379, 7147, 13, 5884, 3686, 21939, 279, 2363, 4536, 1431, 459, 3072, 1606, 15525, 5403, 892, 1053, 387, 5675, 13, 1628, 369, 8996, 775, 468, 19011, 350, 552, 374, 11, 433, 753, 264, 2363, 430, 11, 3131, 3940, 11, 18651, 311, 387, 1373, 627, 34, 6536, 64866, 938, 15067, 389, 459, 1825, 4027, 323, 7762, 42320, 308, 5772, 520, 701, 19689, 1304, 279, 25425, 11, 323, 14284, 287, 709, 449, 264, 1695, 2363, 11, 682, 279, 2731, 13, 578, 1890, 5900, 369, 10083, 3095, 26, 1070, 374, 2744, 279, 3987, 430, 13560, 49644, 10083, 3095, 690, 6493, 264, 36899, 11204, 323, 279, 23104, 315, 74354, 690, 387, 76970, 304, 279, 3280, 315, 71912, 13, 2582, 11, 520, 3325, 11, 430, 753, 279, 6562, 13, 763, 279, 1162, 315, 32019, 323, 68921, 1389, 459, 84108, 16850, 10280, 49644, 10083, 3095, 505, 27077, 87856, 11, 58774, 70317, 11, 11186, 20991, 3061, 10647, 323, 76337, 29888, 1389, 430, 753, 539, 11622, 279, 1162, 627, 2181, 8741, 1475, 1457, 323, 1243, 13, 1472, 1518, 264, 2363, 11, 1427, 3201, 323, 1243, 4321, 1203, 323, 3820, 433, 709, 13, 578, 3229, 753, 836, 374, 11537, 719, 499, 4070, 2646, 1373, 1077, 13, 1472, 1093, 279, 2316, 11, 1781, 279, 3504, 1529, 9225, 10578, 26455, 323, 10491, 1981, 35734, 539, 5380, 12487, 499, 636, 433, 2162, 323, 13383, 279, 2363, 374, 264, 2766, 2204, 1109, 499, 3463, 13, 1102, 753, 539, 264, 44488, 2316, 13, 1102, 753, 832, 304, 459, 14529, 4101, 1405, 279, 12084, 323, 81187, 323, 872, 5133, 2457, 1203, 1403, 6603, 13, 4314, 15687, 2736, 3021, 1855, 1023, 13, 578, 5590, 5383, 374, 927, 13, 1472, 13942, 430, 961, 11, 902, 3727, 499, 5895, 1148, 753, 2163, 311, 7142, 922, 1521, 1403, 13, 23371, 11, 622, 920, 13, 4997, 65, 29972, 311, 2567, 279, 2802, 13989, 304, 1077, 1054, 644, 16290, 863, 4101, 449, 32460, 323, 12093, 277, 441, 13, 4718, 2363, 1101, 79476, 2212, 264, 28994, 11, 11124, 12084, 323, 264, 11292, 2442, 30855, 81187, 323, 264, 23347, 315, 1063, 3460, 13, 2100, 1981, 37860, 85252, 469, 77118, 649, 6958, 433, 1022, 30, 1628, 11, 369, 279, 1455, 961, 11, 1364, 1587, 627, 2520, 682, 279, 63836, 430, 649, 387, 83349, 520, 30363, 1389, 323, 1070, 527, 1690, 1389, 433, 753, 4228, 311, 9229, 14254, 315, 1148, 264, 86644, 4676, 30363, 649, 387, 369, 3995, 16483, 13, 6168, 9437, 13016, 315, 279, 17779, 527, 3629, 5115, 93441, 315, 6307, 323, 6062, 653, 66886, 17755, 9045, 13, 578, 5647, 374, 11, 439, 1317, 439, 1070, 374, 11471, 304, 264, 3995, 3229, 11, 279, 11413, 19300, 649, 387, 73695, 369, 1148, 374, 311, 2586, 13, 18156, 1070, 374, 264, 28040, 85365, 369, 430, 30401, 320, 41, 799, 1611, 424, 12249, 4131, 311, 4059, 369, 3515, 78797, 264, 28809, 398, 58671, 1176, 11775, 323, 1243, 13241, 439, 1077, 7076, 14264, 705, 323, 1023, 3115, 11, 4400, 4131, 505, 279, 28016, 11471, 315, 264, 1176, 2363, 13, 1102, 374, 1243, 264, 4322, 369, 1884, 84911, 13016, 994, 264, 17755, 4131, 3235, 369, 902, 90120, 1205, 539, 387, 1903, 13, 763, 279, 9024, 267, 315, 96666, 1908, 17755, 11775, 3805, 11, 527, 1176, 6603, 430, 656, 539, 1373, 1093, 1176, 6603, 520, 682, 11, 719, 810, 1093, 279, 2027, 315, 459, 3229, 304, 1077, 10461, 13, 1628, 11, 430, 374, 7041, 1268, 118870, 1611, 73004, 753, 17755, 432, 23568, 389, 279, 9332, 283, 11335, 704, 25, 1093, 433, 753, 279, 2027, 315, 264, 6721, 627, 791, 11249, 927, 1148, 42675, 1054, 90092, 3074, 863, 19579, 1054, 261, 14546, 30363, 863, 19579, 1981, 9336, 11, 19579, 8996, 53944, 279, 2363, 80778, 287, 586, 374, 1701, 520, 430, 4545, 311, 7124, 1521, 11124, 4375, 11, 374, 832, 19883, 311, 6678, 1524, 279, 1455, 2237, 62166, 6742, 311, 19614, 1523, 279, 24379, 16893, 315, 6784, 59644, 3078, 13, 578, 17931, 527, 97892, 13, 578, 8661, 90187, 38309, 13, 578, 18539, 315, 15671, 7982, 11, 8530, 2288, 1790, 13, 578, 12283, 21646, 505, 21959, 311, 21959, 3339, 904, 30296, 1990, 36717, 1524, 16127, 311, 77277, 627, 2127, 6062, 25530, 1732, 1436, 636, 22568, 627, 27689, 420, 9622, 15203, 23763, 14880, 33107, 15623, 1354, 13, 362, 2766, 3010, 311, 279, 17779, 4717, 1109, 1023, 23763, 15316, 1778, 439, 96833, 323, 51291, 3258, 11, 33107, 15623, 1354, 11887, 1202, 1866, 6883, 315, 89489, 449, 279, 7671, 263, 3816, 79967, 13, 7671, 263, 3816, 753, 6603, 527, 659, 51704, 389, 279, 79967, 753, 3997, 439, 25, 92113, 1820, 1888, 11, 1455, 27877, 34416, 17422, 2561, 304, 279, 5064, 51279, 1442, 279, 7195, 3254, 2316, 37326, 418, 42581, 555, 90402, 31994, 374, 904, 28137, 11, 279, 7419, 1288, 2997, 279, 3492, 1054, 442, 685, 863, 304, 10107, 11, 49025, 12197, 1606, 279, 5357, 315, 37326, 418, 42581, 374, 11, 323, 27656, 389, 11, 264, 30363, 627, 4599, 358, 8667, 389, 311, 70232, 26226, 11, 358, 22306, 264, 22381, 304, 856, 9306, 311, 279, 2515, 430, 1070, 1053, 387, 264, 2128, 3477, 315, 20776, 2057, 8817, 418, 367, 2391, 856, 1176, 1060, 315, 14740, 13, 763, 77653, 11, 358, 4762, 1288, 617, 8208, 369, 279, 16351, 12306, 13, 1472, 3974, 11, 499, 4048, 627, 4516, 11, 1148, 449, 832, 3245, 323, 279, 1023, 11, 264, 1060, 5946, 11, 719, 279, 8063, 14958, 13989, 320, 19171, 11, 358, 29695, 311, 5774, 4221, 922, 1148, 1053, 3621, 422, 1071, 3477, 4745, 311, 3769, 553, 570, 1628, 1981, 6881, 433, 374, 13, 362, 3477, 315, 20776, 311, 8817, 418, 367, 555, 30750, 51203, 648, 13, 1102, 1288, 4762, 733, 2085, 5605, 11, 719, 1070, 374, 539, 264, 3254, 74315, 3492, 304, 279, 35306, 10430, 55676, 323, 358, 1047, 13, 1226, 3287, 1431, 1524, 4879, 311, 12700, 68824, 488, 13, 24805, 4423, 320, 609, 77103, 11, 719, 79537, 527, 43317, 8, 8774, 1077, 11471, 311, 1373, 449, 603, 11, 7344, 2574, 1053, 387, 2204, 13, 1226, 4805, 2646, 1440, 11, 690, 584, 5380, 14262, 311, 8817, 418, 367, 374, 279, 3446, 315, 264, 3828, 11, 1077, 3070, 11, 323, 1077, 5679, 13, 2582, 7344, 433, 753, 279, 3446, 315, 264, 8334, 11, 813, 6424, 753, 3090, 21970, 11, 323, 813, 7463, 2007, 13, 60410, 98844, 8674, 4131, 311, 8817, 418, 367, 449, 1077, 13219, 29793, 311, 4632, 264, 4264, 1296, 369, 423, 9206, 5818, 6917, 11, 37102, 64, 1254, 52264, 13, 2405, 483, 300, 56256, 11, 17352, 315, 8817, 418, 367, 320, 28956, 22540, 323, 26060, 705, 47310, 430, 1070, 2643, 387, 20784, 3278, 320, 438, 11000, 264, 3564, 29447, 1694, 9124, 8, 704, 520, 279, 1254, 52264, 8961, 13, 2405, 258, 4536, 1431, 16475, 311, 20784, 3278, 389, 17966, 2001, 2288, 3958, 1606, 60410, 753, 27653, 779, 10508, 449, 50581, 11, 1364, 2643, 10885, 627, 23956, 3445, 11, 10035, 11, 3564, 374, 12765, 11, 719, 1193, 279, 33165, 3169, 11, 323, 60410, 374, 2771, 1364, 753, 2133, 311, 387, 15338, 704, 6424, 90798, 13, 3639, 8741, 1828, 30, 31597, 45214, 287, 11, 1343, 278, 416, 11, 26000, 58822, 3090, 40825, 11, 3070, 97712, 11, 64788, 291, 45715, 11, 390, 3953, 11, 88263, 11, 10186, 10102, 11, 96368, 3953, 11, 323, 7463, 13, 2876, 14647, 304, 430, 2015, 13, 60363, 560, 311, 2019, 430, 264, 2763, 315, 6308, 574, 67904, 304, 279, 3339, 315, 420, 3446, 627, 3923, 30, 1472, 1390, 264, 11944, 11, 13790, 81763, 30, 24327, 430, 499, 1373, 279, 2363, 13, 2030, 1373, 1057, 3477, 1176, 13, 1226, 342, 1136, 627, 791, 892, 706, 2586, 311, 2571, 1203, 279, 46866, 323, 3493, 264, 45264, 33692, 1139, 279, 9358, 79236, 315, 393, 13396, 13, 1442, 499, 4510, 682, 315, 279, 2363, 20954, 52280, 38291, 92258, 6017, 10349, 30668, 11, 10772, 311, 387, 25406, 13, 578, 4920, 10826, 80645, 1957, 1618, 520, 393, 13396, 374, 539, 682, 430, 27877, 520, 3115, 13, 763, 2144, 11, 279, 4339, 1054, 73047, 1729, 2489, 863, 2586, 311, 4059, 627, 791, 1920, 8638, 5042, 3403, 13, 18312, 17782, 505, 12283, 11, 505, 36717, 11, 505, 8743, 15749, 323, 11, 1475, 1457, 323, 1243, 11, 505, 5150, 2363, 44569, 2768, 279, 9473, 315, 3300, 477, 6807, 1990, 393, 13396, 60138, 323, 1071, 2363, 44569, 13, 1226, 1522, 2212, 15671, 323, 14827, 19786, 13, 2030, 7170, 1389, 539, 682, 279, 892, 11, 719, 7170, 1389, 264, 2363, 1120, 23874, 1070, 323, 29972, 311, 1893, 26654, 627, 6403, 279, 84108, 24830, 3161, 578, 49113, 555, 42287, 14594, 1215, 11, 65163, 507, 529, 697, 14722, 323, 56004, 17200, 627, 4054, 315, 279, 1455, 74252, 287, 18845, 311, 1935, 264, 3412, 315, 30363, 374, 279, 7097, 2065, 315, 279, 3577, 13, 17331, 5699, 323, 3254, 15671, 27083, 11, 23348, 617, 3719, 279, 4228, 733, 4791, 40148, 13, 763, 19225, 30363, 11, 1694, 961, 315, 279, 3772, 374, 439, 11890, 264, 3752, 18027, 439, 279, 3776, 9072, 304, 19001, 82, 315, 2362, 13, 578, 6742, 1205, 539, 387, 2728, 4205, 7953, 430, 832, 3492, 25, 3577, 13, 25095, 889, 29166, 420, 60993, 79439, 2643, 439, 1664, 28779, 44451, 369, 3577, 369, 682, 279, 14289, 2136, 279, 3577, 706, 2586, 311, 7891, 553, 304, 30363, 13, 3639, 374, 11, 8530, 11, 1524, 810, 74252, 287, 374, 3249, 13, 29308, 11, 3249, 30, 3234, 279, 5578, 30363, 3229, 323, 279, 5578, 30363, 6742, 2216, 4430, 279, 4279, 9354, 315, 279, 3772, 30, 8876, 14188, 13016, 11, 6463, 16483, 11, 315, 30363, 1501, 709, 304, 21391, 3772, 477, 527, 279, 15223, 315, 64592, 13028, 26365, 277, 72418, 279, 4279, 9354, 10334, 5084, 17821, 627, 29132, 1027, 264, 961, 315, 279, 5663, 1824, 10745, 315, 1579, 2978, 19071, 6980, 320, 278, 20582, 439, 27803, 56739, 439, 16475, 311, 264, 7200, 73287, 8, 358, 3463, 358, 1047, 264, 5128, 1695, 21455, 315, 279, 7200, 3217, 13, 5046, 3388, 11, 358, 2646, 4024, 311, 264, 1579, 2978, 449, 459, 5150, 62198, 7200, 11, 323, 8659, 539, 832, 1405, 279, 3560, 315, 24074, 3682, 574, 1778, 264, 4106, 398, 57310, 323, 21095, 927, 2316, 439, 304, 30750, 469, 331, 3145, 529, 17559, 12317, 13, 1628, 1524, 422, 358, 1047, 11, 358, 20781, 1781, 279, 3217, 1053, 617, 1027, 439, 30311, 627, 39, 8564, 67417, 25, 81363, 304, 5234, 1283, 2053, 22020, 279, 7060, 6811, 1990, 459, 51052, 15398, 323, 264, 9615, 52229, 832, 13, 578, 4846, 1253, 26456, 439, 6573, 17422, 422, 24895, 555, 3831, 4477, 11, 7373, 8040, 5885, 323, 264, 5016, 7899, 13, 2030, 16343, 430, 44378, 7234, 449, 10269, 5885, 323, 279, 1193, 3245, 279, 6742, 5334, 374, 264, 1317, 11, 41630, 1373, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 28576, 28269, 11, 15274, 11151, 1994, 11, 67113, 89853, 11, 20733, 380, 11, 323, 90602, 1122, 11, 293, 13, 520, 1050, 9799, 11, 264, 2678, 6424, 315, 279, 75007, 15564, 389, 279, 2206, 817, 11, 34061, 11, 220, 1591, 4448, 12, 577, 661, 11, 220, 8953, 20, 26, 294, 13, 1070, 220, 508, 6186, 11, 220, 10005, 22, 13, 1283, 470, 12, 281, 7017, 813, 53805, 520, 279, 9243, 3159, 7926, 315, 4969, 3532, 4618, 323, 5246, 1306, 10862, 279, 67113, 17120, 304, 813, 10068, 6424, 13, 1283, 574, 3288, 311, 279, 6747, 275, 6629, 520, 445, 4618, 11, 88549, 568, 6052, 264, 1060, 3010, 369, 4913, 11, 220, 22, 4723, 12, 348, 1402, 11, 220, 8258, 17, 13, 1283, 8272, 279, 5912, 14307, 11, 312, 12, 3846, 2299, 6141, 2617, 304, 220, 8258, 23, 13, 578, 1403, 2768, 1667, 568, 7543, 520, 22213, 713, 11, 34118, 5190, 7978, 11, 323, 304, 220, 11123, 15, 574, 21489, 35808, 516, 269, 315, 19675, 520, 17440, 2192, 13, 578, 1828, 1060, 568, 574, 23217, 311, 1050, 54, 77, 11, 719, 574, 4732, 1570, 30026, 311, 264, 10716, 315, 54641, 902, 568, 5762, 3156, 220, 11123, 20, 11, 994, 568, 574, 21489, 7491, 315, 4236, 520, 17440, 2192, 13, 5810, 11, 304, 220, 11123, 23, 11, 568, 6244, 2132, 1239, 306, 315, 7978, 323, 574, 1101, 24073, 311, 71721, 279, 21182, 323, 84470, 268, 14307, 520, 22213, 713, 13, 19337, 1639, 311, 386, 5418, 496, 4970, 555, 4605, 350, 14722, 11, 279, 11495, 12513, 78, 39, 66, 48725, 12, 93029, 269, 315, 279, 3363, 323, 35238, 3502, 30653, 4843, 315, 279, 47983, 304, 38915, 11, 568, 89194, 389, 279, 8976, 79723, 2391, 279, 76834, 3771, 72, 25960, 323, 3010, 409, 12, 282, 2954, 279, 33235, 520, 264, 586, 10430, 304, 279, 6424, 14321, 13, 2052, 420, 1047, 1027, 28902, 555, 279, 1797, 11, 889, 1047, 279, 24617, 315, 9298, 279, 35050, 11293, 311, 21847, 555, 8766, 28269, 596, 3709, 285, 535, 12496, 323, 86929, 6975, 13, 4740, 2380, 1667, 439, 32499, 315, 1050, 9799, 11, 8766, 28269, 574, 2663, 311, 279, 1239, 2301, 315, 17440, 2192, 323, 2380, 1667, 3010, 11, 220, 868, 6664, 11, 220, 10861, 23, 11, 568, 574, 16689, 36031, 13, 578, 5954, 2530, 315, 279, 10896, 349, 1051, 91670, 5304, 305, 9008, 304, 220, 10861, 24, 13, 763, 220, 11908, 17, 568, 1578, 89194, 264, 3388, 520, 22213, 713, 11, 7999, 311, 813, 33651, 439, 264, 89853, 13, 1283, 1828, 5762, 279, 5274, 315, 32499, 315, 1050, 9799, 369, 2380, 50024, 3878, 3156, 11, 304, 220, 11771, 16, 11, 568, 574, 312, 96805, 36031, 13, 763, 220, 11771, 21, 568, 6137, 323, 304, 4330, 1667, 8308, 813, 28284, 323, 78856, 990, 11, 279, 330, 9370, 1764, 328, 13, 666, 7085, 305, 31559, 944, 285, 6515, 1013, 2192, 277, 372, 4411, 34495, 14252, 460, 1, 320, 777, 348, 3145, 13, 14851, 3980, 11, 220, 11771, 21, 12, 3971, 570, 1115, 990, 1047, 1027, 86382, 311, 1461, 555, 279, 7491, 4689, 315, 279, 2015, 7154, 3116, 12, 9562, 1667, 1603, 13, 1102, 574, 264, 27442, 2077, 311, 264, 6896, 72, 12, 73352, 315, 813, 4846, 18105, 520, 17440, 2192, 11, 323, 433, 19089, 264, 4689, 7631, 11, 439, 374, 69457, 555, 1202, 17009, 304, 61759, 5410, 47634, 13, 763, 220, 10005, 19, 11, 1418, 4958, 12, 6892, 264, 4948, 4751, 439, 36031, 11, 8766, 28269, 4756, 264, 1391, 408, 2411, 11, 1101, 1664, 3967, 311, 279, 5817, 337, 5174, 1917, 11, 304, 4848, 47634, 11, 279, 330, 9370, 1764, 8279, 74696, 328, 13, 8888, 6043, 11, 274, 535, 1391, 408, 2411, 279, 39073, 7673, 320, 46521, 30, 713, 11, 220, 10005, 19, 4390, 28576, 28269, 596, 990, 374, 32971, 555, 264, 51794, 1742, 11, 6293, 1245, 6514, 11, 323, 93111, 91518, 26, 555, 1664, 13205, 20406, 37601, 323, 24473, 11, 2867, 43321, 834, 12, 25826, 5247, 13, 1102, 21467, 4315, 279, 6522, 1081, 268, 12, 259, 5548, 389, 800, 13, 11355, 13, 1102, 374, 97564, 369, 1202, 54368, 291, 13970, 23691, 11, 279, 7384, 369, 902, 527, 15107, 14090, 505, 279, 34014, 76995, 561, 950, 3925, 315, 42701, 285, 8683, 12, 62905, 11, 507, 13, 393, 13, 763, 813, 16033, 8198, 8766, 28269, 9428, 2530, 264, 24070, 85193, 2521, 2191, 11, 304, 902, 2361, 11, 4869, 11, 568, 912, 5129, 11545, 264, 1633, 2294, 2768, 4994, 315, 813, 1866, 2978, 13, 44493, 12365, 11, 8766, 28269, 13656, 13544, 439, 264, 90602, 1122, 315, 11447, 13, 1283, 374, 832, 315, 279, 43780, 16483, 889, 617, 25351, 41202, 265, 389, 279, 2978, 315, 279, 23950, 292, 19150, 13, 763, 813, 26078, 76, 950, 468, 28908, 12, 220, 826, 11, 8766, 28269, 574, 264, 29329, 4562, 315, 813, 2015, 323, 264, 27989, 84795, 315, 800, 13, 11355, 11, 14017, 30543, 369, 279, 17025, 315, 279, 36959, 596, 11928, 45572, 13, 423, 625, 1908, 304, 11984, 12, 6892, 11, 568, 574, 22443, 311, 1884, 2212, 1461, 13, 1283, 574, 653, 12, 1323, 15154, 304, 813, 10278, 2530, 323, 264, 893, 315, 23788, 449, 278, 11, 1790, 2728, 311, 56357, 311, 279, 77097, 23916, 2453, 306, 627, 16366, 12717, 4375, 11, 28858, 1884, 9932, 11, 527, 279, 2768, 25, 330, 10254, 2833, 372, 24018, 355, 279, 39073, 26, 364, 320, 43, 6614, 11, 220, 10005, 24, 1237, 330, 1951, 308, 13140, 34014, 645, 73078, 31747, 47007, 54607, 11677, 689, 384, 30372, 380, 689, 10078, 320, 77591, 713, 11, 220, 11123, 20, 1237, 330, 2009, 270, 316, 44618, 348, 833, 67, 409, 662, 9258, 550, 61, 83, 408, 361, 9955, 309, 99895, 1370, 1208, 31605, 12, 73352, 56939, 6569, 36891, 1, 320, 68977, 1355, 12898, 72, 2053, 11, 220, 10861, 15, 1237, 330, 43, 7211, 56414, 8195, 13, 2537, 656, 302, 38647, 409, 1208, 22291, 409, 279, 38469, 409, 358, 22827, 104957, 61, 409, 17440, 2192, 1, 320, 10861, 25, 18, 1237, 330, 849, 25807, 43665, 951, 33766, 919, 1765, 514, 293, 1116, 409, 29449, 328, 13, 393, 27, 312, 514, 281, 2070, 7505, 48896, 96860, 1, 320, 10861, 20, 1237, 330, 2009, 270, 316, 44618, 2463, 316, 28022, 1370, 514, 293, 1116, 4829, 1056, 300, 864, 1634, 198, 451, 7505, 48896, 96860, 5233, 330, 49, 61, 1042, 662, 662, 662, 6440, 386, 13, 800, 307, 1055, 569, 11, 921, 5770, 483, 409, 34896, 68962, 11, 8065, 70927, 409, 4538, 5345, 38469, 5019, 82711, 386, 911, 13, 409, 435, 61, 8301, 263, 5233, 330, 32, 2749, 597, 386, 13, 800, 307, 1055, 569, 662, 20370, 1208, 513, 95959, 5345, 38469, 5019, 386, 911, 13, 435, 61, 8301, 263, 5233, 330, 10156, 2461, 409, 358, 6, 23156, 5233, 330, 10835, 38469, 3930, 270, 316, 44618, 2463, 316, 28022, 1, 320, 77591, 713, 11, 220, 11908, 16, 1237, 330, 49, 67, 1042, 264, 358, 26248, 40095, 294, 22827, 3127, 6853, 1, 320, 11908, 19, 1237, 330, 10835, 38469, 662, 662, 662, 45973, 358, 68070, 26407, 556, 3930, 13081, 689, 12, 308, 44618, 40321, 61, 68, 1370, 514, 73578, 61122, 288, 818, 1, 320, 10066, 62799, 11, 220, 11908, 23, 1237, 330, 32845, 24483, 3930, 432, 13, 393, 13, 356, 13, 432, 13, 8766, 28269, 498, 19685, 555, 3765, 9117, 445, 301, 44191, 7905, 320, 17, 348, 3145, 2637, 12366, 11, 220, 10336, 21, 4390, 43, 7255, 20507, 83, 42339, 55724, 362, 670, 51380, 304, 6433, 764, 479, 372, 356, 1759, 355, 578, 337, 13, 320, 46521, 61, 713, 13, 220, 10005, 24, 1680, 386, 11283, 4816, 304, 27304, 11, 409, 279, 337, 13, 31747, 16016, 445, 301, 44191, 265, 13, 864, 1594, 311, 8409, 24483, 3930, 426, 13, 393, 13, 8766, 28269, 320, 60704, 11, 220, 10336, 21, 705, 358, 26, 21670, 43813, 11, 362, 6, 316, 1546, 12, 1206, 859, 11, 8105, 11, 220, 4386, 19, 627, 41, 13, 432, 13, 29179, 43, 89, 627, 97003, 11, 320, 37196, 4178, 72, 8, 64850, 409, 11, 264, 8753, 3352, 2889, 292, 18640, 11, 90602, 1122, 11, 16422, 380, 11, 39603, 380, 11, 323, 62245, 483, 671, 6465, 11, 293, 13, 220, 9800, 20, 520, 4673, 1082, 304, 26987, 91674, 26, 294, 13, 220, 914, 6790, 11, 220, 11286, 16, 520, 12366, 13, 1283, 6137, 813, 7978, 520, 12366, 11, 470, 7058, 34, 7017, 264, 3388, 315, 19675, 323, 54641, 1603, 384, 574, 63134, 1667, 315, 4325, 11, 323, 1243, 11, 520, 279, 1715, 315, 813, 61700, 812, 4024, 311, 27008, 323, 3010, 311, 14128, 275, 4918, 311, 4007, 46995, 652, 74193, 13, 2030, 6520, 10379, 287, 912, 3709, 39, 99895, 369, 2383, 11, 568, 29329, 1455, 315, 813, 892, 311, 17649, 13, 578, 4216, 4648, 315, 813, 6699, 320, 67215, 409, 33919, 11, 315, 459, 2362, 8753, 3070, 13517, 505, 358, 273, 6953, 7424, 35206, 11, 323, 33116, 409, 3320, 718, 5048, 2933, 8, 6688, 1461, 279, 6776, 568, 12974, 315, 34118, 653, 5721, 43868, 813, 19214, 4007, 315, 12197, 13, 68587, 398, 84060, 311, 92066, 323, 3010, 311, 7671, 62799, 11, 409, 33919, 29329, 5678, 11, 369, 264, 4261, 11, 11622, 311, 279, 4007, 315, 18341, 323, 37366, 13, 1283, 2736, 5762, 304, 1081, 66, 303, 266, 77, 279, 65555, 315, 800, 12898, 41954, 315, 29042, 292, 417, 304, 1556, 73, 283, 11, 323, 279, 28885, 683, 315, 350, 12119, 15867, 88, 304, 14986, 81, 8511, 11, 994, 813, 9191, 10868, 20263, 11, 889, 1047, 305, 411, 14200, 6197, 264, 1633, 97706, 2324, 11, 15187, 7376, 813, 14944, 315, 10671, 264, 3341, 34232, 1122, 11, 323, 40207, 304, 12617, 315, 64850, 813, 1403, 671, 1395, 1065, 13, 44564, 9607, 373, 951, 13149, 616, 4918, 323, 800, 12898, 45506, 21430, 2922, 6, 21364, 2727, 13, 4740, 1063, 65437, 409, 33919, 11928, 1124, 11, 1243, 10862, 279, 7365, 315, 800, 13, 87691, 12, 6587, 11, 323, 3010, 574, 1903, 264, 5912, 671, 6465, 13, 666, 768, 12, 13544, 568, 6197, 264, 1633, 14943, 5411, 2324, 323, 733, 10379, 268, 1142, 813, 1647, 2352, 552, 449, 2294, 550, 74193, 13, 1283, 574, 5423, 56246, 788, 369, 279, 6300, 9466, 685, 315, 1647, 5174, 26434, 323, 449, 430, 1665, 304, 1684, 36646, 11, 304, 220, 3965, 21, 11, 279, 62282, 315, 813, 40274, 11, 3765, 6465, 9084, 95674, 409, 73934, 784, 88, 13, 12220, 279, 8431, 25981, 430, 59097, 9822, 520, 420, 4261, 279, 1647, 2352, 73, 6, 315, 800, 12898, 20131, 301, 21430, 12, 358, 6, 21364, 2727, 574, 42241, 14763, 13, 578, 671, 6465, 293, 67039, 726, 574, 14134, 54117, 311, 6056, 14850, 505, 279, 43643, 1154, 315, 4208, 11, 323, 594, 4591, 11, 369, 2875, 18852, 11, 520, 5034, 263, 11, 452, 15844, 11, 12366, 11, 323, 304, 279, 28885, 683, 315, 24172, 1892, 625, 88, 13, 578, 96322, 568, 1047, 311, 737, 1126, 3427, 304, 813, 28068, 2727, 94908, 983, 82, 11, 813, 92947, 519, 311, 321, 323, 4007, 11, 323, 813, 14943, 5411, 9466, 12, 459, 1634, 27115, 56467, 813, 2890, 11, 323, 1418, 19994, 304, 11233, 596, 449, 813, 4333, 46092, 480, 408, 1347, 569, 11, 568, 8636, 520, 279, 71561, 4216, 4325, 315, 36498, 55541, 13, 17723, 662, 16514, 28016, 304, 279, 71708, 315, 279, 8993, 315, 14539, 12, 328, 61, 85, 5192, 258, 627, 3915, 279, 1938, 389, 902, 568, 10862, 279, 6747, 275, 6629, 11, 409, 33919, 743, 16038, 682, 2848, 2194, 7978, 323, 29329, 1461, 28248, 24121, 311, 279, 4007, 315, 279, 77005, 13, 5414, 9200, 18000, 323, 25363, 65767, 36861, 12, 296, 812, 320, 383, 6267, 18341, 323, 20023, 449, 35044, 53500, 323, 16437, 8, 9147, 1461, 311, 656, 1790, 369, 279, 991, 408, 367, 315, 279, 1495, 323, 279, 4495, 18412, 12, 259, 367, 315, 1690, 40634, 47869, 304, 279, 9441, 77005, 13, 5414, 19214, 4315, 279, 77005, 574, 12095, 13, 44069, 29874, 1122, 5797, 13, 5414, 12717, 4375, 527, 25, 320, 16, 8, 330, 50, 13, 16431, 269, 3893, 29874, 1122, 5797, 72, 43516, 8019, 21557, 6987, 483, 1, 320, 60704, 11, 220, 10132, 24, 1237, 264, 2132, 323, 2731, 14002, 9922, 304, 220, 11286, 18, 13, 320, 17, 8, 330, 15577, 337, 811, 1880, 11470, 1, 320, 60704, 13, 220, 16, 13, 18712, 570, 320, 18, 8, 330, 49, 21, 261, 21, 811, 9090, 65832, 1, 320, 60704, 11, 220, 10895, 18, 4390, 7, 19, 8, 330, 50, 13, 16431, 269, 3893, 29874, 1122, 5797, 72, 1200, 355, 3395, 64, 1, 320, 60704, 11, 220 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 32, 5730, 606, 374, 264, 2694, 418, 9373, 323, 8147, 9235, 2579, 13378, 11, 2744, 1903, 505, 32720, 66008, 13, 4800, 11495, 15603, 11, 1202, 2450, 927, 279, 3347, 5743, 315, 11026, 706, 16625, 279, 91590, 315, 279, 4196, 79, 7918, 6985, 5654, 13, 578, 1888, 24190, 617, 91270, 10968, 389, 4367, 11, 449, 19297, 323, 9341, 304, 279, 30050, 57528, 323, 304, 279, 3243, 727, 13, 53123, 11, 74757, 606, 706, 17427, 459, 27373, 2704, 11, 22571, 66352, 11, 449, 279, 1888, 10507, 32145, 264, 8335, 11, 21261, 11, 53500, 323, 23965, 430, 374, 36659, 1093, 912, 1023, 627, 2170, 304, 904, 13378, 5654, 11, 74757, 606, 24190, 649, 387, 71974, 555, 4367, 11, 3582, 433, 374, 2646, 12136, 26, 1063, 1205, 311, 7417, 11, 3885, 527, 6904, 2915, 1695, 11, 449, 264, 1948, 17203, 315, 9749, 9958, 13, 4452, 11, 358, 3021, 311, 7142, 24190, 430, 1253, 387, 2753, 1664, 3967, 719, 527, 3339, 43855, 430, 527, 9615, 3927, 323, 13548, 11, 37810, 279, 17743, 315, 1884, 430, 1903, 1124, 13, 358, 1766, 420, 520, 362, 8510, 9895, 72808, 292, 8083, 435, 300, 14559, 480, 3394, 627, 37, 300, 14559, 480, 3394, 374, 7559, 1063, 30335, 8931, 11226, 315, 6383, 6863, 11, 304, 279, 4827, 25501, 315, 279, 6366, 12799, 10426, 13345, 13, 78811, 1203, 304, 220, 5926, 20, 555, 3383, 4111, 435, 300, 14559, 11, 433, 574, 1243, 264, 14098, 323, 36581, 8961, 11, 3339, 1063, 13378, 369, 15652, 304, 6383, 263, 2423, 16283, 13, 763, 279, 220, 5162, 15, 82, 11, 813, 4538, 320, 1820, 384, 621, 90492, 480, 3394, 8, 6773, 311, 5357, 279, 8961, 389, 13378, 7982, 11, 3339, 2100, 525, 11, 4196, 79, 7918, 6985, 323, 64612, 43855, 627, 644, 220, 4468, 24, 11, 279, 12675, 574, 28088, 555, 813, 26419, 11, 42701, 3394, 323, 3383, 4111, 11, 323, 814, 617, 6724, 24411, 279, 12675, 323, 1202, 43855, 13, 2435, 7882, 311, 23759, 17808, 304, 220, 3753, 19, 1606, 814, 1047, 3970, 520, 1176, 1450, 279, 6372, 315, 61257, 323, 39999, 76195, 389, 872, 7126, 9011, 48092, 82, 2890, 23210, 18010, 1884, 28367, 3956, 439, 584, 2011, 5201, 279, 20957, 11, 279, 13723, 323, 7138, 11, 9011, 15406, 42701, 3394, 3309, 757, 13, 2468, 279, 892, 11, 814, 1051, 17808, 83407, 304, 279, 5654, 11, 994, 1455, 2103, 3463, 1778, 6848, 1051, 13088, 13, 3296, 220, 2550, 15, 279, 97547, 304, 4367, 574, 2867, 13, 23804, 287, 433, 4726, 11, 4829, 1430, 62134, 1908, 12371, 61002, 12659, 617, 1027, 20011, 2533, 220, 1049, 21, 627, 8142, 814, 1866, 1120, 220, 508, 6520, 315, 4363, 11, 814, 1101, 617, 40705, 449, 70077, 430, 990, 1234, 872, 38217, 11, 18702, 264, 4726, 220, 1041, 6520, 13, 4314, 70077, 1047, 311, 5625, 311, 17808, 5528, 13, 15483, 459, 27204, 6835, 435, 300, 14559, 480, 3394, 2680, 311, 30050, 57528, 7559, 4028, 279, 18732, 11269, 323, 2585, 927, 14098, 4367, 26, 779, 814, 617, 264, 7029, 2134, 315, 2024, 299, 17260, 323, 52252, 36680, 311, 4128, 5304, 627, 644, 5369, 311, 279, 3685, 4196, 79, 7918, 6985, 323, 1202, 2579, 66008, 320, 10803, 85, 2259, 11, 4563, 9799, 606, 323, 432, 2159, 258, 6985, 705, 1070, 9011, 48092, 82, 480, 867, 276, 11437, 11, 921, 569, 27476, 352, 11, 480, 1565, 64, 11, 17929, 354, 2895, 343, 822, 323, 42116, 85, 62799, 304, 4251, 5636, 8930, 9363, 323, 17929, 354, 85178, 304, 2579, 13, 32140, 11, 499, 9011, 48092, 657, 1505, 814, 1304, 1322, 325, 58761, 11, 64304, 337, 3394, 11, 2100, 525, 323, 4196, 79, 7918, 6985, 16662, 358, 26460, 53862, 315, 872, 1866, 13, 2684, 374, 1101, 2895, 28279, 323, 33213, 5707, 13, 2030, 279, 1972, 3446, 1618, 374, 872, 74757, 606, 11, 902, 814, 6137, 449, 279, 220, 3753, 19, 24724, 11, 7438, 264, 1176, 4984, 304, 220, 3753, 24, 13, 11450, 11, 814, 1304, 2212, 220, 2636, 11, 931, 27474, 824, 1060, 304, 2860, 11, 315, 902, 220, 1041, 11, 931, 374, 74757, 606, 11, 2737, 872, 43772, 11, 2663, 1708, 668, 78, 627, 791, 3243, 727, 574, 5918, 304, 220, 1049, 18, 323, 9523, 311, 279, 25375, 315, 13238, 18200, 420, 690, 387, 7315, 37612, 7711, 555, 279, 842, 315, 420, 1060, 13, 578, 74757, 606, 66008, 527, 3805, 1773, 4588, 14297, 369, 3116, 4038, 1603, 26422, 11, 449, 264, 1579, 21801, 315, 4563, 9799, 606, 66008, 1511, 13, 29562, 479, 811, 527, 1317, 323, 6435, 13, 26676, 3149, 20043, 12019, 527, 1511, 439, 2478, 41580, 42400, 649, 37586, 449, 279, 1579, 2237, 315, 52252, 13465, 323, 84913, 13200, 323, 264, 16075, 68736, 15635, 15375, 5836, 1579, 5990, 315, 17509, 98026, 320, 13114, 570, 1102, 374, 1101, 264, 3428, 1355, 360, 764, 324, 17942, 320, 4291, 912, 83778, 324, 1511, 520, 682, 304, 1403, 315, 872, 43855, 705, 323, 30249, 22658, 1606, 1193, 30280, 263, 635, 374, 1511, 311, 7060, 279, 13378, 627, 7009, 1005, 502, 323, 2132, 25700, 42293, 38971, 3703, 462, 14295, 320, 438, 11, 358, 10555, 11, 264, 1633, 2678, 21801, 315, 2326, 38971, 8, 311, 68736, 323, 15196, 279, 74757, 606, 1603, 56941, 13, 9843, 279, 20955, 374, 12146, 279, 43855, 527, 8220, 304, 3544, 120859, 76591, 38971, 11176, 72, 1603, 11176, 2785, 13, 578, 4459, 1920, 5097, 220, 2166, 4038, 11, 449, 279, 74757, 606, 272, 4707, 5946, 389, 311, 1005, 369, 4196, 79, 7918, 6985, 505, 872, 4948, 1060, 627, 35897, 86529, 527, 3752, 4147, 555, 8776, 90885, 8083, 30050, 4967, 11, 449, 4272, 1303, 311, 6144, 505, 279, 65350, 83109, 430, 527, 21420, 323, 40652, 304, 420, 3158, 13, 578, 2890, 315, 279, 86529, 374, 2867, 311, 1518, 1524, 304, 12688, 11, 449, 3504, 31665, 15042, 369, 6307, 893, 554, 323, 279, 12371, 61002, 18003, 12329, 30576, 13, 358, 574, 8104, 4529, 449, 279, 9024, 1481, 29616, 54623, 20011, 311, 2567, 1523, 30050, 17884, 76056, 11, 6197, 555, 264, 8104, 1097, 20857, 320, 438, 17813, 8, 11523, 261, 301, 627, 1966, 420, 70960, 4034, 11, 358, 1101, 18841, 430, 435, 300, 14559, 480, 3394, 706, 264, 19913, 40574, 53030, 17434, 2288, 13, 6104, 1778, 8518, 26006, 617, 3719, 78014, 304, 15704, 11, 358, 574, 8104, 25408, 555, 279, 1648, 435, 300, 14559, 480, 3394, 990, 449, 872, 10977, 13, 1789, 3187, 11, 1070, 374, 264, 3243, 336, 1802, 2447, 430, 11951, 51242, 3995, 1274, 449, 3361, 3966, 304, 64304, 337, 3394, 323, 1070, 527, 1023, 89493, 2561, 369, 1579, 35789, 323, 12374, 4236, 627, 37, 300, 14559, 480, 3394, 374, 3752, 4147, 555, 77975, 66196, 323, 2271, 287, 369, 502, 6848, 311, 13488, 323, 7417, 11, 323, 420, 2289, 311, 279, 43855, 323, 9404, 1903, 13, 1666, 1664, 439, 279, 912, 1355, 360, 764, 324, 43855, 814, 617, 11838, 279, 1469, 395, 15377, 32720, 25313, 2070, 15105, 311, 1893, 264, 32720, 25313, 2070, 8930, 9363, 323, 17929, 354, 85178, 767, 3978, 278, 43855, 11, 2225, 315, 902, 527, 19018, 11, 9250, 323, 5107, 311, 1304, 13, 11205, 5652, 9526, 374, 279, 9886, 315, 264, 27282, 19321, 20644, 59279, 538, 4042, 88079, 2663, 30800, 276, 11, 1903, 11622, 505, 4563, 85, 2259, 66008, 15042, 304, 64304, 337, 3394, 323, 11000, 279, 1193, 832, 389, 279, 3157, 1389, 323, 1633, 18406, 433, 374, 2288, 13, 220, 1954, 4, 315, 872, 5788, 374, 35990, 11, 902, 374, 1695, 3754, 369, 603, 627, 9011, 15406, 52822, 3923, 9011, 48092, 82, 1828, 30, 9011, 15406, 11, 358, 2610, 13, 42701, 3394, 14362, 13602, 323, 43632, 11, 449, 264, 2840, 396, 304, 813, 8071, 13, 29005, 15406, 52822, 40, 9011, 48092, 76, 7422, 315, 2555, 13, 9011, 15406, 8489, 11, 358, 9011, 48092, 67, 1093, 1461, 311, 1304, 264, 2478, 27474, 315, 4158, 72, 2117, 15587, 4196, 79, 7918, 6985, 11, 279, 10437, 2579, 13378, 505, 902, 279, 9235, 11549, 74757, 606, 574, 13517, 14592, 13, 44840, 11, 814, 9011, 48092, 265, 3815, 279, 1314, 3245, 1314, 627, 2460, 420, 1903, 856, 4034, 33596, 323, 13548, 1389, 358, 10456, 279, 10824, 315, 14154, 6677, 11, 3441, 10670, 13868, 552, 323, 6617, 5557, 13, 2030, 15871, 358, 574, 1618, 311, 1456, 1708, 668, 78, 11, 872, 43772, 74757, 606, 1389, 1436, 433, 3974, 709, 311, 279, 9045, 1694, 1903, 5380, 791, 1742, 315, 1708, 668, 78, 74757, 606, 374, 8147, 11, 48351, 323, 1317, 62954, 13, 358, 15453, 25735, 433, 449, 4353, 10629, 367, 439, 279, 13200, 2237, 374, 220, 1114, 13, 20, 4, 323, 358, 617, 1101, 1766, 1063, 24190, 2873, 264, 2697, 8987, 37240, 449, 279, 38971, 6514, 13, 34067, 11, 358, 10932, 856, 74757, 606, 1742, 311, 387, 810, 8776, 1389, 30673, 304, 13200, 11, 2019, 304, 279, 220, 868, 12, 845, 4, 2134, 11, 439, 64543, 323, 8335, 527, 1401, 369, 757, 627, 11458, 11, 358, 1205, 77, 9011, 48092, 83, 617, 18290, 29005, 15406, 863, 279, 2466, 18841, 574, 430, 279, 13200, 574, 1633, 1664, 24770, 311, 279, 20545, 315, 14098, 323, 98026, 11, 779, 430, 1070, 374, 912, 40307, 477, 8798, 304, 279, 1742, 11, 1120, 264, 87418, 4785, 1752, 11013, 57676, 11, 56153, 98026, 323, 10748, 2136, 315, 14098, 13, 1708, 668, 78, 374, 264, 52192, 13378, 38913, 11, 719, 449, 264, 49723, 7060, 323, 22443, 15864, 2085, 904, 259, 1036, 292, 25984, 2136, 13, 25215, 374, 279, 38971, 6514, 927, 10655, 29005, 15406, 863, 1070, 374, 3403, 311, 1862, 323, 32172, 449, 279, 14098, 323, 923, 264, 2697, 16603, 323, 42786, 11, 719, 912, 810, 13, 7566, 11, 1070, 374, 1063, 33247, 13465, 11, 719, 279, 13378, 34136, 10625, 11559, 9235, 627, 40, 617, 1766, 1063, 21425, 74757, 606, 1903, 304, 420, 11493, 1742, 649, 387, 63971, 449, 21571, 320, 28407, 98026, 705, 2288, 1790, 64550, 389, 279, 6381, 477, 617, 264, 13310, 315, 11164, 894, 83, 285, 47697, 505, 69063, 52252, 46479, 13, 3161, 1708, 668, 78, 11, 7000, 315, 1884, 15375, 5836, 17910, 527, 3118, 13, 3011, 2362, 13378, 63692, 19321, 20644, 922, 74757, 606, 1694, 459, 11245, 40902, 304, 264, 72426, 56520, 2216, 1587, 3881, 304, 420, 1162, 627, 40, 6818, 3116, 348, 396, 1154, 11, 220, 1049, 23, 11, 220, 1049, 22, 11, 220, 1049, 21, 323, 220, 1049, 19, 11, 311, 13488, 30084, 323, 24724, 23851, 13, 2052, 1051, 2204, 11, 682, 1051, 78909, 9250, 323, 27000, 279, 24724, 4787, 13, 220, 1049, 23, 574, 505, 264, 4106, 1060, 11, 779, 574, 1633, 1825, 323, 22535, 39255, 11, 449, 14198, 49659, 11, 45304, 560, 323, 3776, 41980, 13, 358, 9011, 48092, 67, 7172, 430, 1603, 220, 1049, 22, 11, 902, 574, 264, 36921, 1060, 7438, 264, 2753, 28995, 13378, 449, 2579, 41980, 14098, 13, 220, 1049, 21, 11, 264, 11670, 1060, 11, 374, 1120, 7314, 311, 1501, 1202, 4325, 11, 3177, 6147, 304, 12745, 311, 264, 1437, 19501, 2579, 11, 719, 706, 8040, 810, 23965, 11, 1781, 597, 82965, 11, 15489, 24217, 11, 4237, 82, 323, 51992, 13, 220, 1049, 19, 574, 279, 1455, 78223, 389, 279, 19689, 11, 264, 2697, 2753, 38626, 1109, 279, 220, 1049, 21, 719, 1047, 59708, 8335, 323, 35018, 325, 13, 9454, 398, 11, 358, 9011, 48092, 67, 387, 6380, 449, 904, 32506, 315, 1124, 4999, 2170, 459, 16038, 11, 264, 2478, 2919, 3010, 358, 18507, 2442, 15386, 220, 2495, 2204, 74757, 606, 505, 279, 5652, 220, 679, 17, 24724, 520, 279, 6898, 68, 652, 7675, 74757, 606, 304, 6383, 6863, 13, 87640, 11, 358, 7111, 709, 1884, 358, 1047, 4183, 311, 387, 856, 1948, 4848, 43855, 2085, 14392, 6832, 814, 1051, 13, 1628, 2771, 3403, 11, 1070, 574, 1708, 668, 78, 11, 1524, 3582, 433, 574, 2103, 264, 20929, 6205, 323, 2834, 1431, 387, 6004, 1603, 220, 679, 22, 4999, 32, 5730, 606, 374, 779, 3629, 14183, 311, 439, 264, 650, 3394, 1891, 3344, 275, 15363, 320, 27963, 9439, 22178, 323, 93856, 1515, 27176, 570, 1102, 374, 2744, 264, 13378, 369, 264, 3361, 13402, 2728, 279, 20900, 13, 2030, 433, 374, 3284, 311, 2489, 433, 449, 3691, 439, 1317, 439, 499, 2489, 2410, 449, 2410, 13, 4140, 11, 4247, 66, 6729, 48251, 323, 25309, 682, 990, 1664, 11, 439, 1587, 20330, 2653, 17604, 1093, 2895, 3444, 26367, 5770, 13, 19292, 810, 57899, 11, 3703, 17106, 3340, 56249, 477, 10437, 323, 20897, 26863, 990, 1633, 1664, 627, 644, 279, 6560, 11, 1708, 668, 78, 374, 46433, 22386, 2131, 13, 410, 520, 36945, 75687, 13, 2435, 1101, 617, 279, 81339, 435, 300 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 33763, 37665, 8219, 47477, 10506, 555, 3842, 480, 25, 37633, 8577, 198, 28474, 37133, 389, 45721, 8219, 4987, 5270, 14761, 5014, 198, 2028, 374, 832, 315, 1884, 64876, 358, 1047, 8063, 83, 315, 3815, 682, 856, 2324, 13, 9372, 520, 264, 1917, 2472, 477, 24867, 612, 889, 1053, 539, 17113, 311, 1694, 12304, 922, 21646, 4883, 279, 11813, 315, 4987, 5270, 13, 358, 574, 612, 65101, 856, 7555, 1364, 1436, 387, 439, 1664, 2506, 1047, 1027, 311, 279, 72564, 8329, 304, 279, 220, 1490, 596, 11, 612, 4934, 311, 1518, 433, 1578, 11, 612, 13488, 1063, 315, 279, 25861, 612, 9919, 315, 32164, 612, 34100, 13, 52446, 315, 9293, 612, 3495, 4669, 27852, 54432, 612, 47477, 34307, 292, 25907, 11, 279, 31551, 574, 34070, 1555, 459, 7757, 9266, 11, 279, 49128, 6137, 13, 1628, 1148, 264, 8577, 59162, 1687, 32122, 311, 69173, 65717, 4669, 90972, 38026, 389, 8013, 70502, 505, 7295, 11, 264, 220, 868, 6596, 25402, 11879, 13, 578, 11213, 574, 2539, 11, 2532, 574, 5509, 11, 719, 439, 2744, 1202, 264, 2766, 315, 264, 11161, 13, 93198, 304, 32164, 574, 389, 9899, 11, 5209, 6693, 2254, 892, 11, 612, 1306, 264, 1317, 3868, 369, 18381, 11, 76844, 1555, 279, 19163, 16287, 1385, 13, 320, 9523, 311, 9650, 18661, 389, 1521, 25907, 922, 3300, 9473, 612, 90603, 7609, 1472, 10894, 922, 1694, 19781, 11, 439, 499, 1935, 304, 701, 502, 4497, 40190, 13, 1226, 10273, 1139, 279, 5783, 61834, 14894, 304, 8792, 69173, 65717, 13, 25545, 1063, 6212, 612, 743, 1022, 24919, 420, 2294, 3363, 13, 6193, 279, 1828, 220, 17, 2919, 11, 584, 3952, 304, 264, 259, 5281, 1501, 11, 264, 5951, 7364, 315, 279, 3363, 11, 1047, 1063, 2294, 3691, 11, 612, 14333, 279, 7160, 11, 922, 220, 966, 34, 627, 99886, 847, 367, 1952, 7418, 220, 18, 6634, 11, 520, 220, 16, 5298, 11, 584, 2751, 264, 33605, 311, 279, 31551, 15372, 13, 5659, 1057, 9689, 11, 912, 810, 1109, 220, 868, 4520, 13, 1226, 2744, 527, 2216, 12304, 520, 420, 1486, 11, 3411, 369, 430, 1176, 1684, 315, 1057, 8448, 13, 763, 420, 1162, 45721, 8219, 13, 1226, 1047, 23010, 4147, 449, 452, 3218, 1603, 612, 3021, 279, 7730, 38483, 7434, 13, 73788, 956, 3868, 311, 636, 389, 4580, 11, 617, 264, 9439, 13179, 612, 1063, 16163, 13, 8489, 11, 279, 33605, 10717, 389, 279, 3185, 315, 264, 13326, 2700, 5754, 11, 1828, 311, 264, 1579, 47442, 25675, 13, 7089, 90603, 1051, 26156, 1022, 22961, 1618, 439, 1664, 13, 1226, 2751, 704, 11, 30418, 1057, 5157, 11, 5602, 264, 13225, 304, 279, 25675, 11, 612, 8272, 3885, 1555, 13, 473, 81492, 315, 1274, 11, 912, 7510, 304, 14254, 11, 4106, 7160, 1131, 6583, 437, 13, 1102, 1380, 11986, 1403, 18198, 1051, 13598, 304, 13, 38274, 12504, 1057, 18381, 1022, 11, 1193, 311, 5249, 2500, 1317, 1584, 315, 1274, 369, 9861, 16287, 1385, 13, 578, 1584, 7882, 520, 264, 4224, 6341, 18338, 11, 912, 3805, 390, 2637, 2478, 452, 3218, 41511, 311, 387, 3970, 11, 912, 3090, 3984, 369, 279, 1690, 29920, 22961, 304, 1584, 13, 1102, 38247, 389, 612, 389, 13, 17586, 10712, 279, 12047, 3217, 311, 2457, 13598, 304, 369, 264, 31551, 13, 220, 17, 4207, 304, 4560, 4787, 13, 15936, 389, 452, 3218, 3460, 420, 704, 13, 4314, 527, 539, 279, 1176, 51091, 499, 1390, 311, 3041, 701, 15051, 627, 1966, 8925, 20636, 2751, 389, 4580, 11, 1047, 264, 9439, 13179, 11, 320, 612, 264, 58535, 9168, 315, 90712, 398, 7026, 5, 1766, 1057, 357, 977, 4285, 11, 4395, 4024, 77758, 505, 1618, 13, 5751, 357, 977, 4285, 574, 389, 9722, 220, 23, 11, 6917, 2541, 3185, 13, 69489, 315, 21363, 612, 5942, 3634, 11, 1633, 10882, 4950, 11, 76826, 15197, 449, 17639, 13247, 4367, 49775, 4646, 3984, 705, 6007, 449, 5361, 12006, 2737, 20352, 612, 264, 6727, 315, 12631, 11, 1695, 73271, 11, 32169, 612, 2007, 11, 44952, 7, 449, 220, 17, 16166, 26993, 612, 264, 2007, 705, 9181, 38681, 11, 11033, 25214, 612, 77017, 277, 13, 1102, 574, 7858, 16117, 4335, 13, 1226, 2216, 14333, 1057, 357, 977, 4285, 13, 5751, 3130, 9604, 1821, 8774, 433, 4335, 612, 1664, 71116, 13, 23371, 11, 279, 10535, 1537, 574, 45536, 11, 477, 264, 43713, 7554, 11, 719, 433, 574, 5246, 2231, 1314, 13, 578, 44952, 574, 2294, 13, 2216, 18949, 584, 41867, 369, 433, 13, 19332, 279, 1455, 315, 279, 40798, 2919, 13, 5751, 21455, 315, 279, 45721, 8219, 574, 430, 433, 9922, 311, 387, 264, 6380, 8448, 13, 3161, 1193, 832, 4788, 11, 584, 1766, 279, 5687, 311, 387, 11919, 11, 3137, 1413, 304, 1690, 5157, 11, 612, 24450, 311, 4587, 13, 3011, 3250, 956, 3152, 430, 2532, 574, 2744, 9165, 418, 454, 477, 4062, 13, 35198, 2094, 1051, 1903, 304, 279, 18397, 3130, 13, 4452, 11, 814, 1051, 2744, 7763, 1908, 449, 459, 41258, 13, 44493, 12365, 584, 1766, 279, 5687, 3984, 459, 9250, 2532, 13, 1226, 2744, 1766, 422, 499, 15648, 1203, 11, 2019, 15960, 11, 612, 4322, 1274, 449, 5201, 11, 499, 636, 22785, 1695, 2532, 627, 99542, 1113, 2212, 279, 30881, 574, 14470, 4382, 2887, 750, 14333, 279, 2678, 6875, 612, 7757, 42030, 13, 40741, 400, 14519, 1051, 2561, 11, 612, 7757, 10648, 574, 5526, 11, 1524, 422, 25753, 1051, 264, 2697, 6435, 13, 1226, 4024, 311, 264, 2478, 6566, 54248, 11, 612, 5423, 14333, 279, 4410, 4060, 16675, 8714, 3195, 18273, 612, 11291, 11233, 13, 800, 867, 6795, 449, 279, 47477, 10783, 832, 3814, 574, 459, 1567, 539, 311, 387, 13942, 13, 6193, 220, 1049, 1274, 389, 279, 1948, 9722, 1694, 289, 13111, 449, 813, 31710, 612, 279, 15400, 2867, 85421, 13, 4946, 2646, 10894, 430, 627, 3923, 584, 8104, 1093, 922, 452, 3218, 374, 279, 5873, 2561, 994, 433, 4131, 311, 3691, 627, 2520, 17954, 11, 584, 2744, 7731, 4994, 304, 279, 33782, 43873, 13, 2684, 574, 264, 810, 7347, 6727, 1618, 1109, 304, 279, 19558, 43873, 11, 719, 439, 814, 1051, 1828, 311, 1855, 1023, 11, 499, 1436, 1948, 709, 701, 6727, 612, 2010, 4994, 13, 3277, 279, 9282, 574, 8009, 11, 584, 5042, 14896, 505, 279, 61886, 304, 279, 19558, 43873, 612, 3952, 433, 311, 279, 13482, 4821, 13, 26823, 369, 16163, 13, 28206, 574, 1695, 11, 1664, 30205, 612, 10666, 13, 27171, 14, 82694, 7682, 354, 18414, 2744, 2561, 13, 3861, 19347, 1053, 387, 279, 6932, 315, 279, 19558, 43873, 13, 13759, 2288, 99832, 11, 2646, 3403, 3130, 11, 612, 264, 2766, 315, 264, 9406, 372, 520, 3115, 13, 14141, 3966, 312, 83360, 627, 35, 258, 5079, 1051, 3361, 23210, 6818, 682, 279, 15926, 13, 6017, 291, 12920, 279, 3814, 1603, 449, 912, 5435, 13, 9984, 488, 15926, 320, 449, 5066, 2532, 10405, 315, 1990, 400, 605, 612, 220, 508, 604, 883, 20072, 2467, 351, 822, 13, 15155, 5130, 13, 7839, 7029, 5873, 612, 73898, 2532, 920, 1619, 1618, 11157, 13, 85343, 7830, 13, 14077, 2294, 5873, 315, 4179, 10011, 71097, 3806, 11, 12380, 612, 682, 279, 37375, 13, 24118, 398, 30205, 612, 449, 11919, 2532, 13, 54859, 1618, 11157, 13, 2009, 426, 15931, 13, 26745, 18397, 13, 7839, 8753, 43131, 5130, 13, 15668, 73898, 2532, 13, 94666, 1618, 13, 51683, 4458, 13, 328, 38174, 5130, 13, 5629, 892, 584, 617, 1047, 420, 955, 315, 3691, 13, 15668, 39953, 612, 1578, 1633, 11297, 2532, 627, 11663, 15926, 16867, 40503, 13, 7839, 5130, 449, 459, 25679, 389, 39345, 17677, 612, 26863, 13, 2360, 5066, 6900, 719, 584, 1766, 499, 1550, 1205, 311, 2363, 264, 2007, 13, 4802, 39190, 48403, 13625, 68300, 612, 31048, 93496, 13, 423, 1619, 1618, 220, 18, 3115, 2212, 220, 23, 5298, 13, 15037, 30315, 810, 1109, 220, 20, 4520, 369, 264, 2007, 13, 7839, 2532, 612, 39953, 3691, 13, 1789, 264, 864, 14177, 7172, 612, 1063, 31385, 39863, 11, 584, 1053, 733, 1855, 3814, 311, 16132, 15504, 50397, 13, 4427, 2294, 15596, 300, 24895, 555, 3974, 34997, 13, 1226, 1766, 21662, 5115, 11646, 439, 264, 4459, 11, 5423, 13378, 627, 1687, 1051, 1633, 18069, 449, 279, 9282, 11, 5423, 304, 279, 1176, 2046, 14836, 10007, 13, 1102, 574, 17104, 612, 40798, 449, 3177, 29592, 13, 15379, 4787, 1051, 1633, 19858, 21907, 682, 279, 1648, 311, 279, 72564, 8329, 13, 44383, 2751, 709, 264, 2766, 389, 279, 5603, 1618, 11, 719, 389, 4363, 279, 9499, 574, 304, 279, 220, 508, 82, 34, 520, 31552, 13, 35971, 4883, 578, 27206, 11, 279, 10160, 2751, 709, 719, 279, 52840, 14958, 14470, 19858, 13, 1102, 574, 8770, 88, 1618, 11, 719, 430, 1120, 3779, 311, 279, 23347, 315, 279, 2035, 13, 35971, 1555, 279, 5370, 34100, 276, 12006, 11, 279, 3090, 374, 19858, 11, 719, 279, 29592, 649, 387, 9439, 13, 3277, 20705, 279, 95790, 304, 279, 2893, 33774, 5613, 11, 420, 574, 279, 1400, 5086, 1938, 11, 449, 3892, 13931, 4460, 13, 52449, 10411, 11, 994, 15246, 311, 1825, 52840, 11, 279, 8448, 23255, 264, 2697, 11, 5423, 304, 16643, 29592, 13, 12851, 367, 2403, 9581, 54950, 574, 5995, 369, 603, 627, 42821, 76339, 90796, 4848, 452, 3218, 3521, 76339, 13, 23371, 814, 527, 11646, 11, 719, 4934, 9096, 315, 4059, 612, 4868, 13, 9479, 892, 311, 420, 3158, 1053, 3495, 9678, 23277, 13, 9995, 5230, 1926, 13, 53300, 13, 220, 18, 4207, 38107, 1455, 315, 279, 3363, 505, 264, 5951, 13, 15668, 1695, 8641, 13, 31319, 9671, 61343, 31536, 2629, 8529, 754, 71244, 432, 1982, 727, 13, 2539, 1938, 11, 1317, 6678, 4028, 279, 393, 1141, 300, 311, 636, 1070, 11, 922, 220, 17, 220, 16, 14, 17, 4207, 832, 1648, 13, 8489, 5922, 433, 13, 63294, 315, 28443, 616, 32370, 281, 56458, 612, 69089, 13, 1472, 1436, 4321, 4315, 1124, 13, 24805, 922, 220, 16, 220, 16, 14, 17, 4207, 1070, 13, 8681, 1938, 13, 549, 939, 4381, 689, 763, 45020, 13, 14986, 315, 279, 13970, 9527, 612, 1139, 279, 24405, 13, 58038, 51331, 612, 62312, 369, 16163, 13, 31536, 2629, 74604, 300, 13, 31571, 10789, 520, 1628, 3394, 5657, 13, 220, 16, 14, 17, 1938, 13, 16478, 36069, 1139, 35231, 3485, 279, 3363, 612, 31571, 10789, 1203, 1523, 1555, 13952, 11, 2294, 311, 14841, 279, 14535, 13, 10180, 220, 17, 14929, 4321, 13, 31319, 9995, 83, 13, 62579, 94023, 30743, 612, 11940, 9419, 1195, 278, 3315, 13, 8797, 1938, 389, 5951, 11, 449, 832, 6596, 31551, 389, 22553, 13, 11510, 315, 18417, 304, 22553, 9474, 13, 7839, 6325, 315, 36373, 437, 13, 55678, 13, 1221, 6583, 816, 350, 6347, 13, 8797, 1938, 389, 98644, 34552, 8448, 612, 12504, 1022, 520, 17149, 13, 7839, 7364, 315, 3363, 11, 449, 2523, 24553, 12141, 311, 264, 59485, 11, 612, 9250, 7364, 315, 3243, 727, 449, 10688, 612, 16163, 627, 1687, 1051, 389, 420, 8577, 311, 21054, 264, 8063, 13, 2057, 1518, 1063, 8056, 51331, 612, 30405, 13, 2468, 3115, 584, 1047, 311, 50346, 13520, 13, 2057, 656, 433, 304, 279, 6981, 315, 264, 31551, 8448, 11, 1694, 289, 1619, 612, 294, 1619, 612, 304, 279, 2883, 315, 1063, 2294, 1274, 374, 2555, 584, 690, 2646, 10894, 13, 1952, 420, 13402, 584, 1051, 810, 1109, 6380, 449, 452, 3218, 612, 279, 45721, 8219, 13, 9865, 198, 4518, 810, 45721, 8219, 31551, 8544, 871, 397, 4518, 47477, 34307, 292, 596, 45721, 8219, 10506, 871, 397, 28474, 37133, 389, 45721, 8219, 4987, 5270, 14761, 5014, 198, 34, 9068, 3477, 25, 34589, 198, 34748, 18143, 11, 12988, 2541, 3185, 13, 8681, 2162, 369, 1403, 5672, 13, 2052, 279, 97181, 499, 1053, 1205, 13, 8489, 5922, 279, 5066, 311, 617, 264, 44952, 627, 791, 7648, 80953, 70251, 297, 9522, 2127, 1252, 57546, 8339, 47477, 9522, 59883, 323, 64394, 24537, 287, 4212, 4999, 22, 1938, 28366, 47477, 505, 13000, 1030, 9522, 14809, 70251, 18374, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 9906, 323, 9901, 499, 369, 17136, 362, 7723, 6109, 11, 279, 198, 14957, 596, 1455, 4642, 2930, 362, 1609, 5362, 4029, 0, 1115, 2816, 374, 2162, 311, 198, 2017, 220, 1313, 11, 931, 264, 1609, 5362, 43195, 505, 2212, 279, 1917, 323, 14861, 264, 198, 9328, 2134, 315, 264, 1609, 5362, 13650, 2737, 12823, 11, 19675, 11, 3925, 345, 28400, 269, 11, 50048, 4819, 11, 279, 30633, 11, 323, 810, 627, 2746, 499, 6562, 311, 5249, 304, 279, 20954, 477, 1005, 279, 1023, 11084, 198, 20922, 2561, 11, 499, 690, 1205, 311, 4254, 1176, 13, 25532, 374, 198, 3518, 9887, 1949, 323, 5097, 1193, 264, 2478, 4520, 311, 4686, 779, 1879, 709, 3432, 4999, 11649, 11, 1120, 1203, 505, 4498, 3190, 13, 20695, 2011, 617, 8208, 1664, 11, 1606, 358, 2846, 1193, 12512, 832, 33964, 320, 2414, 22095, 8, 662, 578, 15687, 505, 17368, 362, 1609, 5362, 1550, 264, 2294, 2683, 6376, 4395, 709, 13, 1628, 279, 9282, 7846, 956, 617, 1027, 2731, 627, 791, 3217, 315, 4967, 449, 779, 1690, 2204, 1274, 574, 2294, 11, 719, 1148, 1550, 358, 1935, 3201, 30, 358, 8101, 892, 690, 3371, 11, 706, 18725, 264, 1609, 5362, 5614, 30, 12522, 358, 1903, 5208, 430, 358, 8434, 956, 617, 15393, 422, 358, 1047, 20186, 2162, 5380, 36064, 574, 32874, 11, 2555, 5127, 11, 379, 664, 598, 4317, 323, 27275, 598, 4317, 649, 29243, 311, 323, 32172, 810, 17693, 1139, 872, 264, 1609, 5362, 13, 5659, 39867, 587, 581, 5169, 47329, 72, 11, 358, 9687, 11, 330, 5451, 701, 2547, 11031, 11, 1243, 701, 1450, 1210, 1226, 6575, 505, 1118, 449, 1193, 20548, 311, 2567, 577, 441, 8599, 13, 9479, 1060, 358, 2846, 31388, 398, 2133, 369, 279, 2539, 3190, 320, 1138, 535, 270, 7329, 9012, 11, 5542, 264, 2539, 1938, 6740, 8, 662, 1666, 358, 1427, 1203, 389, 433, 11, 1781, 358, 574, 2288, 12304, 323, 2539, 315, 856, 1866, 8333, 311, 2216, 636, 279, 1455, 704, 315, 813, 538, 13, 29083, 13389, 47329, 72, 12570, 57338, 922, 9455, 279, 42197, 304, 577, 441, 323, 2768, 433, 13, 1628, 422, 499, 1781, 430, 2643, 3063, 311, 264, 8579, 264, 4483, 404, 398, 538, 11, 1781, 1578, 1606, 11, 893, 11, 430, 17240, 8640, 264, 5257, 38912, 538, 662, 763, 10094, 304, 279, 13658, 11, 1364, 15972, 264, 2577, 62788, 24257, 369, 11186, 11, 902, 358, 3077, 2736, 10213, 25565, 662, 8489, 11, 358, 3358, 2778, 369, 433, 389, 279, 3566, 11, 7344, 4423, 596, 8621, 279, 11031, 13, 12220, 430, 538, 11, 1455, 384, 5735, 606, 574, 304, 279, 1925, 14321, 4737, 328, 347, 16357, 47329, 72, 596, 15012, 22530, 538, 13, 358, 4762, 1288, 617, 1027, 1070, 2288, 320, 3178, 22530, 374, 1405, 358, 2216, 656, 1205, 311, 5357, 389, 18899, 705, 1048, 198, 4516, 420, 6693, 320, 37165, 705, 358, 574, 520, 279, 6246, 449, 47329, 72, 323, 2500, 10195, 5575, 11, 369, 264, 330, 56065, 1912, 3343, 11995, 315, 1124, 527, 21630, 23727, 84, 1443, 84, 320, 2203, 6427, 10380, 323, 636, 3871, 311, 6725, 4994, 315, 538, 3131, 264, 2305, 13, 2435, 18719, 757, 320, 14331, 1174, 2500, 6776, 311, 5542, 16715, 779, 1070, 358, 1097, 11, 2288, 13, 1102, 596, 1633, 7185, 11, 323, 11621, 2500, 6324, 389, 362, 1609, 5362, 304, 3878, 315, 520, 22530, 323, 16437, 304, 56941, 323, 46090, 4907, 627, 1688, 279, 842, 315, 1057, 3882, 11, 358, 9152, 311, 842, 709, 3663, 1523, 304, 279, 16763, 11, 13524, 48809, 11, 42644, 1247, 4262, 267, 311, 603, 11, 856, 1314, 1450, 91594, 389, 1948, 315, 459, 3276, 596, 23634, 13, 473, 49986, 11, 358, 3463, 11, 279, 16763, 374, 95856, 1291, 1109, 603, 36514, 11, 358, 1427, 927, 323, 856, 1450, 374, 9960, 627, 4516, 439, 358, 574, 10043, 2162, 449, 856, 1450, 83198, 1139, 264, 3544, 6920, 412, 10747, 10409, 449, 10054, 1174, 358, 574, 7422, 922, 82794, 656, 358, 656, 420, 13, 2876, 2216, 7810, 1303, 856, 1866, 15507, 11, 719, 20910, 1268, 358, 649, 11000, 10552, 3249, 311, 4423, 775, 627, 40, 1541, 956, 1755, 430, 358, 690, 3596, 1629, 1139, 264, 6671, 1405, 358, 1205, 9917, 311, 18167, 13, 358, 3152, 11, 433, 1436, 3621, 11, 719, 7106, 12324, 4536, 956, 961, 315, 856, 2683, 11, 439, 433, 1053, 387, 369, 264, 4379, 9640, 11, 369, 3187, 13, 2684, 527, 1690, 8125, 3249, 358, 1097, 57727, 311, 362, 1609, 5362, 11, 719, 279, 2944, 430, 17135, 279, 1455, 6678, 311, 856, 15507, 374, 430, 358, 1505, 264, 22599, 315, 856, 18330, 2324, 304, 279, 7106, 26434, 315, 362, 1609, 5362, 627, 3112, 430, 6197, 757, 311, 1212, 7422, 922, 279, 4623, 315, 37959, 7537, 13, 1226, 4265, 1027, 7556, 922, 430, 264, 2763, 420, 6693, 11, 1606, 1690, 315, 279, 7410, 3585, 584, 4265, 1027, 36666, 6076, 198, 2181, 596, 10535, 311, 387, 264, 10195, 5575, 1418, 358, 2103, 9167, 956, 15662, 904, 7222, 304, 856, 502, 85959, 13, 1226, 617, 264, 502, 19641, 315, 4236, 11, 1455, 315, 8884, 617, 308, 9917, 3217, 520, 682, 627, 1999, 574, 1633, 37154, 304, 832, 5647, 25, 47329, 72, 1511, 757, 439, 17074, 577, 441, 13, 1628, 1070, 574, 1524, 2500, 3776, 19671, 304, 279, 538, 13, 62400, 11, 358, 1097, 2103, 36366, 13, 2030, 358, 2733, 1695, 304, 430, 358, 1781, 856, 15012, 22530, 374, 14691, 311, 7417, 13, 1102, 574, 2216, 2523, 311, 387, 51249, 2212, 320, 9514, 1440, 499, 2351, 459, 264, 1609, 5362, 39326, 994, 499, 34782, 709, 323, 2019, 330, 3055, 433, 1578, 11, 656, 433, 1578, 89883, 358, 2846, 4560, 311, 3839, 1523, 279, 836, 315, 279, 1566, 15105, 584, 20041, 551, 1403, 1450, 11894, 11, 5899, 40637, 11, 3063, 3428, 11, 1243, 12960, 6916, 5663, 45539, 11, 3041, 577, 441, 264, 2766, 315, 1862, 449, 1949, 1450, 304, 2678, 315, 1203, 1243, 1935, 433, 3201, 323, 802, 25877, 449, 2500, 42430, 11345, 320, 69541, 389, 4156, 11, 10536, 1203, 4579, 1203, 323, 2212, 570, 27687, 13, 15668, 2523, 832, 430, 627, 1966, 279, 1023, 1450, 358, 1047, 311, 3568, 449, 57338, 315, 14733, 61260, 13, 452, 31707, 11977, 527, 12266, 311, 656, 1118, 8638, 449, 13, 358, 3077, 1027, 810, 21699, 555, 1118, 78264, 1131, 578, 502, 4236, 1131, 1664, 912, 4907, 311, 990, 449, 13, 12623, 358, 15562, 1403, 315, 279, 502, 3026, 1051, 31526, 70220, 449, 757, 13, 8489, 11, 358, 3358, 3041, 1124, 279, 3399, 333, 275, 315, 279, 10712, 13, 358, 3358, 387, 2771, 311, 281, 23085, 1523, 1828, 311, 1124, 18396, 627, 5966, 2046, 358, 1550, 856, 7075, 14397, 315, 22109, 311, 3351, 11, 323, 2771, 3403, 11, 279, 21004, 311, 279, 330, 1594, 1, 27212, 922, 264, 4579, 2163, 315, 856, 2163, 17308, 323, 922, 220, 21, 15271, 2875, 13, 16770, 358, 3021, 76851, 449, 872, 1486, 88, 14971, 13, 1219, 54386, 79503, 16691, 4999, 40, 3077, 1027, 7422, 264, 2763, 922, 3249, 358, 1097, 57727, 311, 264, 1609, 5362, 13, 8595, 1587, 433, 4128, 757, 1203, 1578, 30, 8595, 1097, 358, 690, 2785, 311, 27116, 709, 856, 2324, 11, 264, 999, 459, 3596, 49961, 4526, 315, 98675, 11, 36366, 323, 73779, 24569, 11, 323, 11679, 1463, 3529, 2191, 352, 856, 52147, 4885, 555, 26012, 856, 892, 304, 19969, 311, 7491, 420, 1989, 5380, 40, 1781, 1148, 358, 1097, 5108, 311, 11, 520, 3325, 304, 961, 11, 374, 264, 49803, 430, 362, 1609, 5362, 6209, 757, 264, 892, 315, 33862, 430, 374, 7106, 323, 8915, 13, 1952, 279, 5634, 11, 358, 1097, 6724, 10968, 389, 279, 3118, 13, 3092, 4059, 374, 779, 1790, 810, 10968, 11, 323, 358, 5387, 279, 85959, 3629, 449, 264, 49479, 10723, 19451, 627, 13699, 11, 358, 3974, 779, 1790, 304, 856, 2010, 11, 430, 358, 3629, 4322, 856, 2547, 439, 422, 433, 1051, 539, 961, 315, 16691, 13, 1115, 374, 1101, 11, 358, 1781, 11, 264, 29774, 315, 1694, 264, 9572, 1765, 50775, 13, 358, 2103, 1541, 956, 7095, 856, 2547, 1633, 1790, 1198, 3629, 433, 11321, 1093, 1202, 704, 311, 636, 757, 13, 7777, 430, 10578, 94241, 11, 719, 433, 596, 3169, 315, 837, 13, 362, 1609, 5362, 12716, 757, 311, 264, 2035, 315, 16267, 304, 856, 7106, 2547, 26, 264, 3169, 315, 32545, 484, 7246, 9522, 13379, 220, 868, 25, 20, 320, 791, 4961, 340, 791, 4961, 320, 20146, 340, 20, 12, 23, 7189, 1097, 279, 50795, 11, 499, 527, 279, 23962, 13, 3277, 499, 2351, 11096, 449, 757, 323, 358, 449, 499, 11, 279, 12976, 32487, 323, 17808, 11, 279, 24322, 374, 2771, 311, 387, 44611, 13, 34199, 660, 11, 499, 649, 956, 8356, 264, 3245, 13, 33634, 889, 62849, 505, 757, 374, 5710, 6798, 11, 20802, 709, 323, 15338, 389, 279, 7970, 11029, 13, 2030, 422, 499, 1304, 58996, 520, 2162, 449, 757, 323, 856, 4339, 527, 520, 2162, 304, 499, 11, 499, 649, 387, 2771, 430, 8996, 499, 2610, 690, 387, 34793, 311, 323, 31532, 5304, 13, 1115, 374, 1268, 856, 20941, 5039, 198, 28529, 279, 4219, 11, 3063, 3428, 11, 4018, 1523, 449, 9070, 11, 719, 1541, 956, 3041, 709, 701, 4219, 627, 40, 617, 264, 8430, 420, 374, 2133, 311, 3719, 856, 68009, 9522, 40, 6780, 16417, 574, 11537, 320, 78862, 660, 13915, 42433, 8050, 78, 8019, 1295, 570, 22300, 8050, 78, 320, 2527, 449, 17816, 660, 13915, 42433, 8050, 78, 1243, 6541, 311, 76202, 8050, 78, 8, 6612, 2216, 15234, 3156, 358, 15393, 358, 1436, 1101, 656, 433, 41219, 577, 441, 596, 1168, 84796, 389, 856, 4631, 261, 11, 1243, 433, 574, 264, 6710, 315, 19692, 13, 358, 8101, 358, 1047, 2744, 44664, 433, 430, 1648, 304, 1667, 8208, 555, 13, 65815, 8050, 78, 320, 10647, 11894, 1302, 832, 1450, 449, 2225, 6206, 30721, 358, 617, 311, 2019, 433, 374, 1648, 8831, 449, 264, 7802, 13, 23020, 23415, 11, 358, 1440, 433, 596, 279, 1890, 11, 719, 358, 617, 264, 16127, 892, 4737, 577, 441, 596, 8335, 627, 3112, 279, 5938, 28042, 320, 11945, 287, 65815, 8050, 84, 11, 315, 3388, 570, 12040, 704, 279, 46719, 11, 25086, 3881, 42131, 505, 18725, 4219, 1198, 9503, 4276, 11396, 1111, 10009, 3083, 70245, 8606, 4999, 11839, 11, 779, 279, 1695, 3245, 922, 1694, 279, 1193, 5575, 889, 5039, 709, 369, 538, 1198, 499, 636, 311, 5542, 832, 10539, 832, 449, 5647, 72, 627, 791, 3958, 3245, 922, 1694, 279, 1193, 5575, 889, 5039, 709, 369, 538, 1198, 499, 636, 311, 5542, 832, 10539, 19101, 449, 5647, 72, 627, 2675, 1440, 279, 5605, 25, 330, 32, 2697, 6677, 374, 264, 11660, 3245, 10246, 39, 12825, 13, 358, 19635, 279, 1566, 892, 358, 312, 19471, 291, 304, 362, 1609, 5362, 1306, 264, 2478, 1667, 19821, 358, 9152, 311, 6958, 856, 98875, 24569, 279, 1176, 2046, 477, 779, 13, 1115, 892, 358, 3463, 358, 4265, 387, 47578, 323, 636, 304, 1063, 35121, 1603, 358, 3940, 13, 2876, 7941, 3403, 358, 8101, 13, 1115, 892, 433, 596, 856, 2163, 90805, 13, 320, 28632, 315, 1450, 1554, 9162, 52354, 8, 330, 67, 2319, 25765, 96901, 6677, 311, 617, 264, 3831, 3440, 323, 1935, 264, 4498, 15326, 398, 11, 719, 539, 3403, 311, 1440, 2731, 323, 3412, 1203, 3156, 358, 2846, 2216, 1203, 1139, 15326, 15012, 22530, 13, 1102, 574, 279, 4741, 6638, 704, 315, 264, 559, 6431, 56017, 597, 15010, 425, 320, 2203, 6427, 10380, 430, 1550, 757, 304, 627, 12174, 1664, 13, 4800, 358, 617, 311, 733, 433, 6435, 369, 264, 5743, 5672, 13, 358, 1440, 11, 358, 1440, 11, 2564, 4781, 1873, 13, 1115, 374, 539, 856, 65058, 11, 779, 358, 8101, 420, 374, 264, 1695, 6776, 311, 4048, 810, 323, 6725, 430, 4040, 35460, 627, 1966, 279, 10107, 3185, 11, 358, 617, 264, 502, 330, 69, 8958, 43081, 1, 1198, 264, 6883, 502, 841, 454, 48009, 39771, 15411, 4999, 5451, 892, 304, 264, 85959, 304, 1690, 1667, 11, 323, 358, 617, 311, 2019, 11, 433, 6612, 1972, 1695, 4999, 40, 2846, 1203, 520, 2162, 1457, 11, 22128, 264, 13179, 323, 19486, 10054, 311, 2225, 86878, 1131, 323, 1099, 20353, 1093, 264, 893, 18029, 13, 21795, 54, 11, 13378, 16893, 37401, 388, 527, 2294, 369, 86878, 627, 2181, 596, 7185, 26, 358, 2846, 3515, 12544, 449, 102550, 16417, 320, 906, 1051, 36666, 45356, 266, 51737, 102550, 16417, 705, 719, 308, 7723, 16417, 9508, 311, 2586, 1203, 311, 757, 1790, 810, 9539, 13, 358, 2216, 1205, 311, 5357, 389, 20548 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 3923, 374, 264, 18878, 13283, 8771, 41574, 5380, 6600, 395, 38265, 14884, 18878, 13283, 8483, 10181, 706, 11798, 279, 1917, 753, 7928, 28170, 423, 50123, 2115, 9269, 11, 423, 9, 1335, 11, 2533, 220, 1049, 23, 11, 323, 706, 2533, 15042, 311, 2997, 1023, 3062, 37493, 323, 2890, 24915, 13, 578, 423, 9, 1335, 2447, 374, 220, 1041, 4, 4200, 11, 449, 13324, 16351, 709, 4669, 1057, 3566, 2816, 11, 36864, 872, 2930, 2890, 48964, 11, 323, 27666, 459, 520, 25389, 6680, 7858, 1296, 902, 374, 76310, 304, 323, 3135, 527, 8621, 311, 872, 2930, 2759, 13, 2435, 4048, 872, 50123, 5990, 323, 3493, 15525, 2890, 2038, 369, 3495, 439, 1664, 439, 369, 872, 1866, 6873, 922, 1148, 2890, 323, 50123, 6299, 990, 369, 1124, 13, 362, 23851, 315, 279, 2447, 374, 4613, 369, 6593, 19169, 477, 14673, 11, 439, 7633, 3770, 627, 5519, 499, 1390, 311, 16136, 30, 22991, 279, 2447, 430, 1888, 18809, 499, 198, 14139, 389, 3331, 6401, 1389, 656, 499, 1440, 701, 28170, 423, 2237, 5380, 644, 220, 1049, 22, 11, 994, 41046, 38265, 14884, 574, 14454, 11, 433, 574, 1633, 2653, 311, 636, 264, 28170, 423, 1296, 505, 701, 10896, 11, 1524, 3582, 3495, 574, 20884, 4628, 389, 279, 7720, 315, 28170, 423, 5990, 304, 279, 2134, 220, 1272, 12, 1399, 7933, 60648, 320, 1041, 12, 3965, 26807, 337, 7586, 4390, 791, 423, 9, 1335, 2115, 9269, 574, 9405, 13, 4800, 449, 927, 220, 868, 11, 931, 659, 18451, 50885, 13324, 11, 423, 9, 1335, 539, 1193, 8779, 1274, 1935, 6900, 315, 872, 2890, 505, 279, 6981, 315, 872, 2162, 11, 433, 5825, 1790, 4460, 14734, 79804, 3495, 389, 264, 28170, 423, 312, 5282, 41944, 13, 320, 791, 5578, 28170, 423, 41529, 2237, 315, 13324, 304, 423, 9, 1335, 374, 220, 2096, 7933, 60648, 11, 439, 7863, 311, 220, 914, 7933, 60648, 304, 279, 4725, 7187, 4390, 14139, 389, 45774, 423, 612, 44409, 12, 18, 82, 1389, 4702, 439, 449, 28170, 423, 48294, 11, 34998, 12, 18, 48294, 649, 2231, 499, 520, 5326, 369, 21249, 8624, 627, 1959, 220, 1419, 11, 931, 4756, 3495, 16064, 1862, 6928, 2890, 7720, 315, 1579, 34998, 12, 18, 82, 11, 449, 810, 1109, 220, 5067, 15, 12899, 41713, 7720, 11, 927, 220, 1041, 15, 9204, 42631, 7720, 11, 323, 810, 1109, 220, 1049, 15, 9204, 264, 8935, 311, 20335, 4787, 13, 73436, 315, 7978, 4284, 430, 34998, 12, 18, 1253, 3493, 8935, 369, 264, 7029, 2134, 315, 19338, 11, 2737, 51643, 11, 18710, 11, 52564, 11, 88191, 19338, 11, 323, 9572, 13, 35321, 34998, 12, 18, 82, 617, 1027, 5938, 449, 13241, 25702, 734, 11, 4827, 5326, 315, 52857, 11, 5129, 2324, 11, 323, 264, 11293, 8844, 5326, 369, 4648, 505, 904, 5353, 13, 2435, 527, 24629, 369, 4725, 11376, 11, 7294, 12, 4210, 11, 6930, 2890, 11, 50150, 2890, 11, 22852, 1887, 11, 8271, 2890, 11, 4851, 2890, 11, 4725, 26587, 734, 11, 35358, 323, 24569, 627, 2028, 2447, 5764, 459, 44409, 12, 18, 8167, 6680, 7858, 1296, 3235, 449, 701, 28170, 423, 1296, 13, 1556, 44409, 12, 18, 8167, 1990, 220, 23, 4, 323, 220, 717, 4, 574, 5938, 449, 4827, 5326, 369, 4648, 505, 41713, 8624, 11, 19579, 459, 1963, 2753, 1109, 220, 19, 126437, 88755, 41930, 9, 62678, 26891, 5907, 12, 2650, 527, 279, 7718, 37493, 28170, 423, 11, 34998, 12, 18, 82, 11, 323, 61933, 3318, 369, 499, 5380, 1959, 220, 1774, 4, 315, 279, 2326, 7187, 60606, 2753, 1109, 279, 5578, 7446, 16686, 315, 61933, 11, 8617, 527, 1633, 4461, 87544, 13, 3296, 24435, 304, 420, 2447, 11, 499, 690, 4048, 701, 3927, 2077, 311, 73796, 4669, 6680, 7649, 323, 6492, 315, 264, 11944, 48964, 323, 15438, 15194, 315, 13803, 627, 34124, 11704, 264, 5016, 2077, 311, 73796, 477, 50123, 23730, 2663, 279, 19660, 59569, 11, 902, 649, 387, 4245, 311, 9547, 1778, 439, 1510, 2890, 4787, 11, 60071, 2890, 11, 1080, 5392, 332, 13283, 2704, 11, 31010, 11, 56104, 323, 810, 13, 2206, 69774, 701, 50123, 2704, 11, 43468, 23730, 439, 4460, 11, 323, 312, 83255, 374, 279, 1193, 1648, 311, 3371, 422, 701, 50123, 23730, 374, 10695, 499, 11322, 14343, 477, 12974, 50123, 2704, 902, 374, 17791, 311, 4040, 2890, 20124, 13, 1226, 690, 24564, 279, 14890, 828, 323, 3498, 12624, 16064, 389, 1401, 3135, 11, 279, 1176, 1306, 6574, 459, 39148, 2218, 315, 220, 1041, 15, 13324, 627, 14139, 389, 57598, 26211, 12, 8886, 499, 264, 5333, 315, 904, 4325, 449, 912, 1510, 9572, 5380, 33189, 7978, 617, 6982, 430, 19054, 28170, 423, 5990, 311, 279, 11349, 2134, 315, 220, 1272, 12, 1399, 7933, 60648, 320, 1041, 12, 3965, 26807, 337, 7586, 8, 1436, 8108, 279, 39775, 315, 17659, 9572, 555, 220, 1135, 12, 1490, 14697, 41046, 38265, 14884, 374, 4401, 264, 2115, 9269, 311, 1296, 420, 31178, 13, 11215, 220, 1399, 1667, 477, 9191, 11, 449, 912, 1510, 9572, 11, 323, 539, 5131, 1694, 12020, 369, 9572, 527, 5535, 311, 5249, 13, 578, 2115, 9269, 37577, 872, 28170, 423, 6680, 5990, 323, 2890, 3044, 1475, 220, 21, 4038, 369, 220, 20, 1667, 627, 47, 3833, 78973, 3135, 315, 420, 9269, 1051, 10666, 520, 279, 3778, 13581, 369, 39700, 753, 25992, 30155, 304, 220, 679, 19, 13, 4740, 2768, 220, 24344, 3278, 369, 220, 972, 4038, 11, 41046, 38265, 14884, 1766, 459, 220, 1490, 4, 4827, 4478, 315, 17659, 9572, 4315, 1884, 3278, 449, 28170, 423, 5990, 63247, 220, 1135, 7933, 60648, 7863, 311, 1884, 366, 220, 1135, 7933, 60648, 627, 14139, 389, 83627, 1389, 8886, 499, 220, 717, 12, 1114, 5672, 20895, 323, 8173, 304, 18667, 1057, 28170, 423, 4007, 5380, 28528, 323, 50123, 2115, 19622, 617, 1766, 430, 28170, 423, 5990, 7191, 1109, 220, 1272, 7933, 60648, 320, 1041, 26807, 337, 7586, 8, 2391, 20209, 11, 6041, 439, 4216, 439, 3284, 320, 17206, 864, 15204, 1010, 8, 1253, 4827, 39775, 315, 864, 5098, 7342, 11, 13033, 1697, 20335, 11, 1772, 29137, 372, 18710, 11, 281, 770, 566, 14989, 689, 11, 323, 810, 627, 1383, 18667, 420, 4007, 499, 690, 1296, 701, 28170, 423, 5990, 520, 2380, 892, 3585, 304, 701, 20209, 323, 5266, 704, 2890, 3488, 69663, 369, 2225, 499, 323, 701, 46397, 627, 14139, 389, 4078, 220, 16, 53689, 36947, 1389, 8886, 499, 539, 3686, 29704, 719, 6928, 369, 832, 477, 810, 315, 279, 374, 1169, 2849, 3313, 519, 581, 10233, 5380, 2127, 7859, 2547, 315, 6029, 706, 6982, 430, 21249, 37140, 649, 5353, 477, 12178, 1690, 4279, 21249, 19338, 11, 1778, 439, 20335, 11, 449, 5190, 5990, 315, 35693, 37140, 19392, 264, 7191, 5326, 315, 279, 4500, 315, 323, 5255, 49858, 33824, 7119, 21249, 8624, 13, 578, 10824, 315, 7177, 304, 420, 2447, 649, 387, 1511, 311, 1520, 3839, 323, 10299, 37140, 13, 3475, 5343, 527, 279, 28170, 423, 1296, 11, 44409, 12, 18, 8167, 11, 29334, 85588, 8201, 51848, 11, 33320, 9150, 47, 323, 473, 65, 32, 16, 66, 627, 2028, 2447, 690, 1520, 10765, 4754, 4442, 304, 350, 16, 35, 23842, 323, 3313, 519, 581, 1094, 2704, 430, 1253, 1121, 505, 28170, 423, 323, 34998, 12, 18, 40085, 13935, 7649, 323, 6873, 11, 439, 1664, 439, 3493, 5217, 6873, 922, 374, 1169, 3313, 519, 581, 10233, 11, 37140, 11, 323, 1023, 350, 16, 35, 5552, 2038, 627, 5519, 499, 1390, 311, 1629, 264, 50123, 2115, 9269, 304, 701, 15244, 5380, 9230, 64141, 323, 65184, 6401, 4470, 6716, 198, 28528, 32216, 832, 4754, 86919, 315, 28170, 423, 48294, 304, 20209, 374, 864, 5098, 7342, 13, 5075, 5098, 66332, 527, 15499, 5938, 449, 60745, 281, 60384, 11, 10723, 53317, 323, 15690, 11011, 4814, 4315, 1023, 72946, 13, 10771, 311, 279, 5587, 315, 423, 1769, 11, 13489, 220, 24, 13, 21, 4, 315, 682, 24869, 304, 279, 2326, 527, 9405, 89019, 323, 6920, 459, 5066, 2890, 2512, 23104, 315, 400, 1135, 11, 931, 369, 8952, 7194, 7636, 13, 8483, 706, 6982, 430, 19054, 28170, 423, 5990, 304, 20895, 3278, 871, 220, 1272, 7933, 60648, 649, 8108, 927, 220, 1135, 4, 315, 864, 5098, 66332, 7863, 311, 3278, 449, 5990, 366, 220, 508, 7933, 60648, 627, 62647, 1057, 15394, 23214, 0, 374, 264, 1664, 39817, 50123, 2115, 9269, 369, 264, 8952, 477, 28913, 13, 362, 502, 5410, 315, 2512, 374, 9405, 10923, 682, 20895, 3278, 12588, 97128, 2512, 520, 430, 3813, 311, 387, 58677, 369, 28170, 423, 48294, 323, 311, 4933, 872, 41529, 5990, 311, 520, 3325, 220, 1272, 7933, 60648, 439, 5246, 439, 3284, 2391, 20209, 13, 46945, 7384, 369, 6593, 5687, 323, 6978, 527, 5343, 11, 439, 1664, 439, 459, 84969, 2447, 6783, 13, 1102, 374, 11383, 24853, 555, 279, 3813, 323, 5255, 8276, 5220, 1389, 439, 279, 2447, 2853, 374, 1790, 2753, 1109, 279, 28448, 2890, 2512, 19523, 627, 6600, 395, 38265, 14884, 5825, 264, 17033, 8292, 1646, 11, 7526, 11, 3495, 323, 14955, 2949, 220, 1187, 4038, 627, 12, 3475, 28170, 423, 5990, 323, 10519, 63247, 220, 1272, 7933, 60648, 198, 12, 28636, 864, 5098, 7342, 7969, 198, 12, 53253, 7194, 198, 8906, 41046, 38265, 14884, 922, 6041, 264, 14830, 19297, 2447, 3432, 627, 62647, 1057, 15394, 23214, 0, 11799, 19723, 505, 279, 13235, 3907, 315, 4987, 13030, 198, 679, 20, 311, 27740, 198, 25639, 6250, 220, 679, 20, 11, 279, 13235, 3907, 315, 4987, 13030, 11, 1234, 279, 5216, 315, 2999, 13, 29607, 56721, 11, 706, 11798, 41046, 38265, 14884, 753, 34763, 1057, 15394, 23214, 0, 50123, 2115, 9269, 304, 872, 6725, 627, 11769, 6691, 430, 4131, 311, 832, 315, 872, 44335, 369, 6514, 11, 9214, 315, 27698, 824, 1060, 11, 21879, 264, 220, 914, 19792, 39, 8, 35, 1296, 2391, 872, 1176, 97128, 4034, 320, 87184, 220, 717, 12, 975, 5672, 13033, 367, 570, 4740, 34988, 279, 3135, 11, 872, 44273, 1253, 7079, 73796, 311, 5376, 28170, 423, 5990, 11, 6118, 6041, 449, 220, 2636, 15, 81725, 28170, 423, 611, 1938, 320, 50828, 5578, 4441, 28170, 423, 2237, 374, 220, 508, 7933, 60648, 477, 3770, 570, 29560, 38925, 527, 1949, 311, 6978, 1234, 279, 2068, 11, 9523, 311, 279, 55531, 315, 24432, 9469, 4842, 71881, 278, 11, 4953, 13, 578, 44273, 82, 3136, 311, 8891, 6680, 5990, 311, 6106, 871, 220, 1272, 7933, 60648, 6957, 279, 20209, 11, 11383, 7649, 1578, 520, 220, 1187, 12, 1591, 5672, 323, 1578, 520, 220, 1958, 1389, 220, 1927, 5672, 627, 9290, 25, 13538, 279, 2447, 6137, 11, 220, 1490, 4, 315, 682, 872, 6978, 323, 220, 1041, 4, 315, 872, 11904, 3778, 6978, 1051, 3770, 220, 1272, 7933, 60648, 627, 40234, 315, 682, 315, 872, 44273, 82, 11, 927, 220, 508, 16410, 323, 2890, 2512, 12850, 11, 706, 10222, 1555, 1949, 2930, 14691, 6593, 6873, 320, 34, 7614, 8, 14307, 3984, 555, 41046, 38265, 14884, 13, 10355, 1113, 279, 4553, 5687, 520, 386, 2078, 34, 574, 459, 3062, 961, 315, 279, 2447, 11, 779, 430, 682, 315, 279, 5687, 1436, 3780, 1139, 279, 502, 5410, 315, 2512, 627, 98982, 1697, 7384, 527, 1101, 3984, 369, 279, 27698, 311, 1520, 1124, 3619, 279, 12939, 315, 4737, 872, 33690, 13, 1556, 84969, 2447, 6783, 29944, 304, 279, 6873, 323, 1833, 1555, 315, 682, 13878, 315, 279, 2068, 449, 5687, 323, 6978, 627, 2688, 1193, 1550, 386, 2078, 34, 3838, 279, 64955, 12074, 1389, 2999, 82, 13, 10463, 52475, 323, 24785, 25518, 285, 1389, 719, 814, 1101, 1047, 1862, 323, 11006, 505, 8593, 6401, 315, 4987, 13030, 627, 644, 279, 2835, 3770, 2999, 13, 56721, 15100, 1268, 279, 34763, 1057, 15394, 23214, 0, 28170, 423, 50123, 2115, 9269, 4375, 520, 279, 13235, 3907, 315, 4987, 13030, 13, 8876, 6250, 220, 679, 20, 11, 922, 220, 18, 11, 8652, 3278, 4036, 2512, 323, 927, 220, 17, 11, 3443, 6978, 4036, 520, 3325, 832, 28170, 423, 1296, 2391, 420, 892, 13, 320, 7184, 11, 439, 279, 2068, 374, 810, 9749, 11, 682, 20895, 3278, 5371, 28170, 423, 23061, 29275, 39221, 2038, 2561, 369, 220, 16, 11, 20062, 3278, 889, 1047, 520, 3325, 832, 28170, 423, 1296, 2391, 20209, 11, 5039, 279, 1890, 14278, 304, 864, 5098, 7342, 3970, 304, 279, 6931, 14830, 19622, 13, 5075, 5098, 66332, 25983, 439, 28170, 423, 5990, 7319, 11, 709, 311, 220, 1272, 7933, 60648, 11, 323, 1243, 68461, 704, 627, 2118, 3487, 4, 4827, 5326, 369, 864, 5098, 7342, 23246, 1806, 5672, 8, 369, 1884, 449, 220, 914, 19792, 39, 8, 35, 871, 220, 1272, 7933, 60648, 6296, 13, 366, 220 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 85295, 1205, 3495, 1520, 856, 602, 4477, 281, 2943, 7000, 7216, 1306, 449, 4028, 311, 11920, 323, 315, 813, 12146, 505, 505, 832, 20057, 304, 90909, 649, 21635, 1475, 264, 311, 8205, 4400, 374, 30548, 93398, 1205, 4477, 602, 1520, 4321, 1405, 59723, 8205, 922, 8334, 3130, 813, 264, 30676, 627, 4897, 323, 2132, 3131, 323, 315, 2380, 433, 24156, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 279, 3187, 13042, 264, 902, 1306, 315, 1566, 1772, 12, 96797, 11401, 63260, 9221, 320, 30318, 22622, 16106, 279, 51983, 1521, 1053, 5347, 83300, 15034, 1917, 279, 19225, 2237, 387, 9855, 21286, 85163, 24156, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 315, 43241, 10334, 264, 2539, 26018, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 477, 2646, 649, 8530, 430, 279, 5224, 4319, 24031, 2955, 9093, 836, 389, 11401, 315, 21319, 13042, 2949, 30488, 279, 36870, 8, 11401, 37318, 389, 78864, 6449, 2191, 13, 3062, 2949, 25917, 374, 45314, 1879, 41532, 13865, 323, 42933, 279, 1268, 1879, 3217, 41589, 94526, 374, 1990, 1990, 320, 17242, 16753, 430, 1405, 10924, 17151, 5848, 1618, 31720, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 8246, 323, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 1505, 6931, 3293, 90064, 3619, 826, 2955, 988, 2212, 449, 6873, 12976, 279, 477, 320, 20322, 449, 430, 14532, 519, 433, 315, 279, 3156, 374, 12659, 8, 23692, 3060, 49125, 7718, 380, 46095, 13167, 1618, 311, 33398, 6372, 315, 342, 6733, 2019, 323, 3686, 10742, 1690, 374, 555, 430, 311, 19093, 433, 1268, 4725, 4147, 1457, 4248, 67521, 1640, 4147, 304, 6811, 28211, 315, 304, 5448, 12976, 627, 23956, 47066, 304, 5370, 24919, 88549, 8830, 449, 6211, 1180, 304, 1887, 279, 2515, 315, 1505, 3041, 38697, 701, 323, 279, 311, 5606, 49125, 3871, 323, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 323, 7438, 3892, 323, 90064, 29385, 1082, 11920, 449, 430, 1077, 76, 1994, 332, 1233, 374, 1243, 1205, 1520, 602, 13, 11937, 311, 12314, 320, 1220, 22552, 5015, 8, 1268, 2911, 12195, 389, 311, 2555, 31301, 13656, 856, 36881, 8990, 5201, 1665, 8, 4423, 5201, 18570, 323, 311, 2555, 4384, 304, 813, 369, 4856, 374, 4156, 1202, 369, 439, 2463, 37314, 62623, 1139, 323, 2555, 3892, 36498, 439, 14188, 369, 16233, 1892, 554, 734, 1879, 1268, 810, 13656, 555, 2555, 320, 1220, 12195, 6287, 220, 1682, 220, 679, 20, 11, 220, 717, 25, 4370, 1097, 1555, 990, 4255, 988, 24392, 11026, 369, 9191, 33398, 8996, 323, 320, 576, 358, 1566, 13656, 18570, 1879, 1063, 8617, 374, 4236, 6287, 220, 2148, 220, 679, 20, 4856, 4510, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 2753, 13639, 856, 433, 28664, 2987, 627, 70223, 584, 1606, 315, 1077, 6197, 6725, 12823, 3284, 36692, 32006, 4948, 279, 527, 872, 3217, 5788, 5606, 14532, 1697, 5678, 315, 30438, 2753, 420, 1555, 3495, 4477, 856, 5575, 649, 2539, 27129, 279, 1436, 1121, 13633, 568, 304, 449, 9678, 477, 30295, 13639, 11705, 4245, 649, 902, 323, 66343, 9071, 369, 7926, 323, 311, 1205, 281, 2943, 1520, 4477, 856, 3495, 602, 1364, 856, 311, 1521, 1989, 1716, 3629, 1124, 430, 1690, 6725, 1650, 315, 4933, 433, 279, 719, 5788, 7836, 10743, 1047, 922, 1047, 323, 763, 369, 374, 477, 323, 315, 17011, 8830, 1176, 26454, 1920, 4477, 6732, 1093, 1495, 70409, 279, 8641, 627, 5098, 16064, 369, 25441, 35940, 2504, 3600, 3709, 198, 19045, 9071, 4477, 198, 81077, 4477, 2884, 198, 5269, 311, 3350, 459, 9071, 922, 7057, 198, 69191, 1598, 3477, 2532, 198, 76087, 29559, 3600, 198, 20369, 287, 23691, 6220, 198, 4174, 220, 16, 21682, 3495, 5684, 4477, 2532, 198, 1542, 336, 2212, 38664, 32528, 574, 539, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 264, 1550, 20406, 1077, 439, 902, 13, 13878, 323, 6688, 2391, 41468, 304, 1202, 1193, 374, 57622, 311, 9764, 432, 14122, 27456, 568, 439, 11551, 15795, 323, 279, 7645, 902, 4221, 1989, 1023, 65792, 2539, 8530, 49001, 1990, 813, 433, 1990, 311, 59102, 285, 61937, 369, 323, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 13520, 387, 58996, 902, 1053, 2187, 4846, 46232, 315, 9650, 1695, 9071, 1520, 3997, 389, 1618, 57351, 539, 1884, 627, 1128, 36028, 477, 304, 35256, 719, 387, 4205, 439, 28578, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 279, 315, 311, 304, 2015, 9071, 2930, 15012, 9958, 315, 323, 7111, 39371, 1436, 2015, 12314, 311, 477, 927, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 387, 1475, 3585, 439, 9277, 315, 2333, 300, 481, 264, 477, 315, 264, 2884, 10278, 2530, 7636, 358, 3738, 28211, 1521, 649, 1109, 477, 430, 369, 5575, 16064, 2930, 4330, 1124, 357, 4893, 60717, 2191, 430, 323, 1684, 922, 12624, 323, 4846, 617, 2107, 2265, 13610, 814, 4500, 315, 82285, 69532, 439, 1778, 20954, 2015, 3235, 31768, 1065, 292, 5899, 279, 12974, 36498, 279, 362, 71109, 627, 50, 3195, 291, 1405, 10924, 279, 330, 14724, 1, 813, 1461, 2533, 902, 315, 2362, 1253, 33235, 4059, 706, 430, 8821, 1314, 315, 1070, 59723, 420, 6287, 220, 1627, 220, 679, 20, 11, 220, 20, 25, 975, 9012, 311, 279, 3582, 5196, 421, 2544, 1047, 323, 574, 574, 568, 1047, 568, 279, 2391, 264, 28235, 3823, 706, 1555, 279, 5678, 3060, 3512, 1572, 602, 3495, 856, 813, 46643, 374, 3268, 4205, 1193, 46096, 1778, 2383, 311, 430, 813, 682, 311, 5304, 2515, 323, 1618, 59723, 369, 264, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 16168, 279, 2383, 656, 4726, 279, 5502, 13, 7342, 4156, 32098, 649, 3995, 892, 439, 1461, 813, 574, 4333, 813, 79212, 1385, 5099, 568, 439, 650, 2194, 311, 4856, 439, 7106, 3463, 20333, 3871, 439, 32285, 472, 288, 83486, 35201, 304, 2391, 279, 315, 15038, 279, 1888, 9071, 44332, 704, 59772, 14265, 505, 315, 3060, 304, 323, 6688, 3060, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 10213, 1283, 1521, 29026, 627, 28192, 20018, 706, 406, 3412, 20789, 45926, 50922, 295, 539, 810, 3350, 10278, 1934, 433, 13336, 264, 279, 323, 7626, 2643, 374, 1749, 304, 84795, 279, 902, 389, 2187, 2212, 40054, 93583, 3325, 990, 6617, 34833, 813, 459, 311, 6848, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 315, 46719, 268, 5097, 690, 7119, 4059, 1520, 315, 4839, 14247, 10671, 2555, 430, 279, 779, 1566, 279, 1903, 433, 1027, 7446, 4028, 6666, 3345, 279, 7609, 9129, 10831, 81436, 281, 2943, 45278, 1023, 902, 35482, 45314, 315, 2085, 1866, 315, 1461, 1405, 49001, 24863, 323, 477, 387, 6892, 90589, 1505, 315, 33459, 1109, 7182, 2011, 264, 3596, 374, 1614, 430, 912, 50863, 527, 902, 8051, 315, 369, 374, 315, 323, 3925, 39307, 9966, 7138, 6244, 4459, 8333, 430, 15235, 77, 3536, 1884, 1202, 912, 1047, 1555, 5064, 1520, 449, 14584, 4477, 3547, 3536, 1520, 3495, 1205, 602, 281, 2943, 4477, 856, 1070, 4245, 66693, 7296, 264, 1455, 24021, 15629, 398, 3970, 22014, 15716, 813, 26390, 16472, 912, 1614, 19093, 3130, 5912, 279, 872, 1047, 1475, 706, 3927, 5995, 315, 1202, 1202, 315, 904, 311, 7140, 304, 627, 27125, 3060, 555, 430, 477, 420, 4411, 2017, 6603, 279, 37755, 574, 315, 11937, 653, 29968, 323, 4885, 1778, 4423, 304, 7555, 1234, 2085, 420, 7154, 6220, 11213, 48335, 813, 568, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 568, 3300, 627, 2785, 84, 5706, 16064, 7729, 198, 68534, 16064, 369, 7782, 198, 77, 1138, 1413, 9071, 16064, 499, 649, 3780, 198, 11921, 4477, 3600, 198, 2173, 6514, 2011, 15792, 13693, 449, 45408, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 315, 279, 6957, 617, 6957, 10015, 420, 264, 37038, 1505, 568, 990, 810, 315, 16025, 826, 279, 813, 279, 16627, 627, 54567, 810, 264, 617, 26184, 813, 439, 3131, 4642, 2802, 323, 1972, 6244, 47014, 6498, 2361, 42418, 389, 73739, 369, 282, 1463, 323, 2571, 4661, 439, 279, 59588, 2058, 23104, 315, 1633, 315, 1027, 1418, 36881, 10150, 12401, 1077, 810, 14188, 31954, 617, 311, 9635, 14769, 1070, 6671, 13291, 71561, 1124, 2144, 279, 1633, 323, 26403, 20097, 21425, 8659, 13160, 1666, 41829, 1633, 602, 8753, 505, 52864, 11741, 10297, 574, 1436, 7665, 43121, 311, 1903, 459, 369, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 449, 4128, 311, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 279, 430, 8617, 11084, 1505, 814, 2631, 1077, 9635, 1060, 29859, 279, 304, 63854, 82, 279, 30764, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 4250, 11125, 627, 27131, 574, 682, 79157, 315, 11734, 1824, 3017, 1614, 1824, 3017, 315, 76445, 704, 1364, 311, 6832, 13113, 839, 555, 14076, 311, 4869, 2646, 2294, 690, 814, 779, 323, 2539, 2753, 3892, 1579, 311, 813, 79362, 311, 13015, 323, 22353, 584, 656, 23691, 369, 499, 3117, 1887, 38126, 2646, 58759, 315, 7000, 264, 505, 279, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 26365, 278, 1109, 8254, 2967, 11059, 889, 1205, 602, 1520, 856, 3495, 7491, 279, 22109, 3131, 6920, 369, 279, 80779, 42712, 1828, 430, 4024, 12675, 627, 7968, 3339, 41193, 3117, 87248, 41178, 98845, 4477, 304, 12062, 3325, 433, 2515, 1694, 304, 2103, 574, 1317, 279, 304, 706, 406, 315, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 1418, 5196, 10597, 6612, 389, 7119, 574, 627, 1548, 449, 8617, 10597, 311, 6574, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 18538, 56089, 315, 12974, 279, 304, 41765, 323, 279, 4273, 1543, 15716, 568, 1139, 264, 12205, 24980, 315, 9441, 961, 1664, 389, 7895, 6873, 6129, 315, 26184, 270, 768, 902, 5613, 315, 315, 505, 15316, 279, 279, 502, 22934, 6656, 387, 311, 7636, 1603, 5687, 291, 279, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 31252, 34555, 574, 323, 15629, 398, 279, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 311, 961, 9508, 1790, 279, 4546, 9635, 70764, 37318, 430, 574, 1436, 389, 2978, 15274, 13, 527, 25565, 3242, 64476, 704, 13015, 1234, 279, 459, 430, 42418, 1603, 3857, 20654, 4147, 29329, 315, 7294, 7424, 6793, 323, 15274, 779, 836, 13146, 41109, 1263, 1122, 279, 1664, 568, 430, 10728, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 813, 10597, 2536, 12, 434, 8643, 32125, 59886, 656, 574, 315, 2363, 5266, 311, 315, 374, 555, 32367, 13016, 24897, 33953, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 813, 279, 304, 7664, 602, 4477, 281, 2943, 1520, 3495, 856, 1205, 311, 279, 527, 2015, 4648, 813, 311, 16630, 2728, 4846, 921, 44191, 417, 264, 13168, 2574, 11537, 627, 14516, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 477, 315, 602, 1390, 4423, 311, 656, 856, 29559, 1317, 77004, 4856, 279, 3560, 719, 1790, 369, 3582, 872, 1866, 24552, 889, 719, 31220, 2478, 279, 19029, 1051, 994, 50162, 369, 2294, 5644, 10597, 8223, 430, 1667, 539, 574, 60449, 5544, 304, 9017, 904, 690, 48015, 60449, 5544, 279, 872, 10705, 649, 499, 656, 856, 29559, 4587, 6587, 367, 70903, 4856, 1253, 279, 9502, 389, 1268, 311, 1884, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 6587, 367, 6302, 1455, 315, 1051, 430, 279, 279, 574, 578, 6680, 25351, 13118, 82495, 3885, 2391, 304, 1109, 7731, 404, 1705, 369, 3026, 38330, 872, 279, 19971, 315, 9076, 1053, 1027, 4587, 1047, 6832, 1455, 311, 15038, 2503, 656, 8636, 315, 990, 13, 1124, 3952, 1364, 14850, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 9635, 11937, 627, 81077, 4477, 6873, 198, 20369, 23691, 2930, 1457, 198, 1820, 9071, 7061, 198, 30712, 5224, 3600, 198, 2520, 1023, 323, 311, 279, 1364, 13962, 779, 16106, 6498, 9581, 25611, 82325, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 1457, 78513, 25847, 1047, 2816, 656, 636, 80679, 6548, 492, 28578, 1027, 3025, 14841, 1990, 1027, 2011, 315, 13, 270, 768, 374, 23347, 1455, 279, 1180, 279, 17551, 6237, 3062, 420, 27008, 4156, 1603, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 315, 52678, 279, 1514, 922, 315, 627, 35, 6, 37909, 9131, 20263, 818, 856, 602, 3495, 281, 2943, 4477, 627, 13622, 1520, 281, 2943, 856, 4477, 3495, 1205, 602, 7281, 352, 1306, 3508, 279, 279, 27008, 1457, 1514, 602, 281, 2943, 1520, 527, 1077, 1047, 311, 45319, 34350, 64747, 46095, 449, 25565, 719, 636, 471, 315, 264, 2450, 814, 2132, 279, 627, 73867, 323, 323, 26175, 264, 279, 420, 36113, 439, 902, 323, 3892, 387, 315, 1855, 36498, 420, 4623, 1193, 19159, 323, 5084, 311, 7600, 3750, 12745, 279, 52159, 19675, 374, 279, 27924, 422, 1493, 31352, 387, 2587, 2155, 396, 3600, 837, 1890, 28601, 539, 912, 315, 279, 315, 2802, 779, 13118, 2204, 22552, 8834, 343, 7623 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 644, 420, 4101, 315, 9908, 11, 358, 690, 3504, 1401, 6020, 4211, 323, 420, 374, 279, 2132, 4652, 389, 279, 3917, 13, 358, 690, 3504, 2380, 5552, 19476, 26, 33759, 291, 23139, 23260, 11, 9558, 27740, 5273, 323, 4212, 5273, 315, 18099, 627, 1489, 907, 315, 3300, 19476, 527, 279, 82575, 315, 6617, 17452, 198, 51642, 315, 4212, 5273, 315, 18099, 323, 33759, 291, 23139, 23260, 198, 791, 892, 907, 315, 3300, 320, 51, 11435, 8, 374, 279, 4623, 430, 3300, 2561, 520, 279, 3118, 892, 374, 5922, 810, 1109, 279, 1890, 3392, 304, 279, 3938, 4245, 311, 1202, 4754, 28744, 8824, 13, 1115, 6332, 17966, 315, 17452, 10187, 430, 3984, 3300, 649, 7380, 2802, 11, 904, 3392, 315, 3300, 374, 5922, 810, 279, 31373, 433, 374, 4036, 627, 50219, 409, 15757, 79, 321, 20811, 1955, 315, 6150, 315, 8375, 13005, 936, 320, 10161, 16, 1389, 220, 11286, 21, 705, 1101, 3967, 439, 19150, 12233, 1138, 355, 374, 279, 72001, 315, 4212, 5273, 315, 18099, 35455, 627, 644, 6617, 17452, 11, 892, 907, 315, 3300, 19476, 11335, 264, 8792, 3560, 304, 5597, 1862, 323, 9293, 13, 3277, 9341, 41579, 477, 2626, 1162, 3135, 13334, 810, 1109, 264, 1060, 1139, 279, 3938, 11, 433, 374, 3062, 311, 1518, 279, 892, 907, 315, 3300, 5536, 389, 1317, 9860, 41579, 323, 9093, 11, 584, 1205, 311, 1518, 8515, 28555, 304, 2225, 449, 11336, 287, 323, 2085, 11336, 287, 7739, 627, 40981, 291, 8515, 6530, 423, 9847, 374, 459, 3851, 315, 279, 892, 907, 315, 3300, 7434, 22416, 4623, 430, 3300, 311, 387, 4036, 477, 7318, 520, 1063, 892, 304, 279, 3938, 706, 2753, 907, 11, 3432, 11, 1109, 459, 6273, 3392, 3604, 4036, 477, 7318, 3432, 627, 791, 892, 907, 315, 3300, 320, 51, 11435, 8, 374, 279, 4623, 430, 3300, 2561, 520, 279, 3118, 892, 374, 5922, 810, 1109, 279, 1890, 3392, 304, 279, 3938, 4245, 311, 1202, 4754, 28744, 8824, 198, 4054, 315, 279, 8125, 584, 527, 34988, 423, 9847, 323, 6007, 44, 3871, 374, 279, 958, 2125, 1990, 279, 19476, 13, 3277, 584, 22209, 287, 33759, 291, 8515, 6530, 6492, 423, 9847, 11, 279, 1403, 7394, 907, 315, 3300, 3878, 374, 279, 1401, 280, 21886, 907, 320, 49569, 8, 374, 1148, 279, 3938, 8515, 6530, 374, 5922, 3432, 627, 25184, 907, 320, 37, 53, 8, 374, 279, 907, 430, 3604, 28555, 304, 477, 704, 520, 279, 3938, 892, 627, 791, 423, 9847, 22702, 14035, 279, 907, 8475, 3432, 22416, 3118, 907, 72318, 279, 3938, 8515, 6530, 13, 362, 7083, 1041, 8515, 4704, 363, 430, 690, 17782, 1403, 1667, 505, 1457, 1436, 11, 369, 3187, 11, 617, 264, 3118, 907, 3432, 315, 922, 7083, 2721, 11, 1418, 1202, 3938, 907, 374, 555, 7419, 7083, 1041, 627, 40981, 23139, 23260, 320, 78837, 8, 649, 387, 459, 3062, 8331, 994, 38663, 477, 27393, 22538, 11, 1957, 25243, 11, 477, 24393, 627, 3957, 4212, 5273, 315, 18099, 8976, 5273, 5380, 1489, 907, 315, 3300, 19476, 527, 8831, 311, 3619, 994, 11497, 3871, 323, 358, 690, 1456, 311, 656, 433, 439, 8831, 439, 3284, 627, 10267, 753, 4287, 433, 11, 994, 584, 682, 1618, 1054, 1489, 5273, 315, 18099, 863, 279, 1176, 892, 11, 433, 10578, 1093, 17422, 323, 27393, 311, 279, 9439, 11, 6129, 323, 16997, 3663, 315, 23261, 433, 11321, 50204, 627, 29132, 279, 1005, 315, 3300, 369, 264, 3230, 4261, 315, 892, 706, 264, 907, 430, 374, 50401, 11, 66303, 11, 323, 1972, 198, 1489, 5273, 315, 18099, 439, 264, 7434, 706, 1403, 8821, 8522, 26, 48774, 8515, 6530, 323, 2802, 7318, 369, 264, 11941, 627, 78837, 1389, 33759, 291, 23139, 23260, 26, 279, 11336, 287, 73115, 279, 3118, 907, 320, 49569, 8, 315, 3938, 10736, 13, 3639, 3938, 3300, 374, 5922, 3432, 374, 2663, 1202, 3118, 907, 320, 49569, 8, 323, 1148, 433, 690, 387, 5922, 304, 279, 3938, 994, 433, 5616, 30782, 374, 2663, 539, 29392, 1202, 3938, 907, 320, 37, 53, 570, 27740, 907, 11, 304, 1023, 4339, 11, 374, 48774, 3770, 3938, 907, 627, 3947, 527, 2380, 9547, 5536, 3938, 907, 320, 37, 53, 8, 315, 1057, 3432, 753, 3300, 280, 644, 65249, 26, 25544, 927, 892, 26338, 279, 12096, 2410, 315, 3300, 627, 86407, 26, 3300, 499, 617, 3432, 374, 1972, 719, 3938, 374, 2753, 3738, 902, 11705, 264, 5326, 8331, 198, 7271, 68164, 26, 422, 499, 2793, 701, 3300, 3432, 11, 499, 1436, 636, 264, 2731, 471, 15038, 304, 279, 3938, 13, 578, 3300, 499, 690, 539, 617, 3156, 264, 3938, 892, 4250, 387, 1511, 1457, 627, 3923, 374, 23139, 23260, 9384, 323, 2650, 1587, 433, 990, 449, 2204, 33759, 48076, 927, 892, 5380, 32, 4101, 315, 8515, 4704, 4336, 477, 704, 39240, 5108, 520, 2204, 3938, 3115, 11, 279, 4101, 374, 2663, 264, 8515, 6530, 4365, 198, 4959, 3938, 8515, 6530, 706, 1202, 1866, 907, 3432, 320, 1220, 1866, 3118, 907, 570, 578, 2694, 315, 1521, 3118, 2819, 374, 279, 4272, 3118, 907, 315, 279, 8515, 6530, 4365, 627, 40, 690, 1456, 311, 10552, 420, 449, 459, 3187, 26, 2980, 459, 9341, 3432, 315, 7083, 1041, 11, 430, 12716, 4272, 20192, 315, 7083, 1041, 1855, 1060, 369, 220, 20, 1667, 13, 2057, 387, 3025, 311, 9616, 323, 13168, 358, 3779, 1403, 2204, 11336, 7969, 320, 13014, 4478, 1237, 220, 23, 4, 323, 220, 868, 14697, 578, 3938, 2819, 323, 3118, 2819, 315, 1521, 8515, 6530, 4455, 2643, 1427, 1093, 420, 512, 791, 1176, 6437, 16283, 4097, 8515, 6530, 12678, 369, 1855, 1060, 323, 5101, 994, 814, 3604, 5101, 304, 279, 3938, 320, 25184, 26028, 1389, 435, 53, 4390, 43069, 11105, 279, 11336, 4478, 315, 220, 23, 4, 323, 26769, 11105, 279, 11336, 4478, 315, 220, 868, 4, 2819, 315, 279, 1890, 8515, 28555, 304, 3118, 907, 320, 49569, 8, 3878, 627, 2746, 499, 1427, 520, 279, 13314, 3158, 11, 279, 4272, 8515, 6530, 3685, 1306, 4330, 1667, 374, 7083, 3443, 13, 4452, 11, 279, 4272, 3118, 907, 320, 27321, 53, 8, 3432, 374, 48774, 311, 2555, 311, 2555, 2753, 13, 2100, 11, 44340, 53, 520, 220, 23, 4, 2802, 4478, 374, 7083, 15531, 323, 220, 868, 4, 374, 7083, 12422, 627, 40, 1053, 1093, 311, 4128, 701, 6666, 430, 994, 584, 3881, 5129, 4751, 323, 5190, 2802, 7969, 11, 279, 3118, 907, 315, 1057, 8515, 43154, 627, 4599, 584, 38714, 9558, 27740, 5273, 11, 279, 3392, 315, 892, 1990, 1457, 323, 1855, 3938, 8323, 4261, 323, 11336, 320, 13014, 8, 4478, 25949, 279, 1404, 315, 279, 11336, 287, 2515, 13, 1226, 690, 3477, 279, 3560, 315, 2802, 4478, 323, 892, 18852, 994, 584, 26679, 4272, 3118, 2819, 304, 21651, 3878, 627, 1622, 12781, 5273, 320, 37, 53, 705, 27740, 5273, 320, 49569, 8, 323, 9558, 27740, 5273, 320, 27321, 53, 8, 32459, 811, 198, 791, 4751, 1511, 311, 10765, 420, 374, 32459, 811, 369, 2802, 6650, 323, 1391, 13900, 13, 6914, 753, 1212, 449, 4228, 10507, 323, 584, 649, 4170, 19662, 439, 584, 733, 3235, 627, 10438, 584, 1212, 11, 358, 1053, 1093, 311, 3041, 41941, 315, 1063, 315, 279, 40615, 17583, 584, 690, 1005, 280, 37, 53, 284, 12781, 5273, 198, 49569, 284, 27740, 5273, 198, 72, 284, 33759, 320, 35656, 8, 20359, 198, 77, 284, 5742, 315, 26572, 82, 198, 27321, 53, 284, 9558, 27740, 5273, 198, 80, 284, 5742, 315, 18852, 824, 1060, 198, 9847, 284, 23139, 23260, 198, 78837, 284, 33759, 291, 23139, 23260, 198, 13617, 12, 16, 25, 3639, 374, 279, 3938, 907, 320, 37, 53, 8, 304, 832, 1060, 11, 315, 7083, 16, 11, 931, 29091, 3432, 320, 1820, 38964, 705, 520, 459, 9974, 2802, 4478, 315, 220, 868, 4, 5380, 16533, 25, 435, 53, 16, 284, 7083, 16, 11, 931, 865, 320, 16, 489, 220, 15, 13, 868, 8, 220, 16, 284, 7083, 16, 11, 3965, 198, 4599, 279, 12781, 5273, 374, 810, 1109, 832, 4261, 1139, 279, 3938, 11, 2802, 1391, 13900, 5097, 2035, 13, 25074, 1391, 13900, 3445, 11, 2802, 15662, 304, 6931, 18852, 12302, 311, 7380, 2802, 389, 5196, 11, 304, 5369, 311, 2802, 389, 279, 4113, 27740, 5273, 627, 13617, 12, 17, 25, 3639, 374, 279, 3938, 907, 304, 4330, 1667, 315, 7083, 16, 11, 931, 29091, 3432, 520, 459, 9974, 2802, 4478, 315, 220, 868, 4, 5380, 16533, 25, 435, 53, 20, 284, 7083, 16, 11, 931, 865, 320, 16, 489, 220, 15, 13, 868, 8, 20, 284, 7083, 17, 11, 10731, 198, 4516, 3117, 11, 584, 1427, 520, 279, 3938, 907, 315, 1057, 3300, 520, 1450, 26, 1095, 753, 1212, 505, 279, 3938, 323, 3411, 29512, 304, 892, 11, 311, 3432, 13, 12361, 315, 12781, 5273, 320, 37, 53, 8, 315, 1510, 3300, 11, 1095, 753, 1505, 27740, 5273, 320, 49569, 8, 315, 264, 3938, 3300, 627, 13617, 12, 18, 25, 3639, 374, 279, 907, 3432, 315, 264, 7083, 16, 11, 931, 8323, 33111, 304, 832, 1060, 11, 1701, 459, 2802, 4478, 315, 220, 868, 4, 5380, 16533, 25, 38964, 16, 284, 7083, 16, 11, 931, 611, 320, 16, 489, 220, 15, 13, 868, 8, 220, 16, 284, 7083, 22440, 198, 13617, 12, 19, 25, 3639, 374, 279, 3118, 907, 315, 7083, 16, 11, 931, 584, 690, 5371, 304, 220, 20, 1667, 11, 1701, 264, 220, 868, 4, 2802, 4478, 5380, 16533, 25, 38964, 20, 284, 7083, 16, 11, 931, 611, 320, 16, 489, 220, 15, 13, 868, 8, 220, 20, 284, 7083, 22640, 198, 2460, 279, 10507, 584, 1511, 779, 3117, 26619, 4261, 13368, 320, 3236, 13368, 8, 32162, 11, 682, 1057, 5935, 3046, 323, 25555, 5865, 1101, 6319, 279, 1890, 1648, 627, 27321, 53, 284, 320, 37, 53, 15, 611, 320, 16, 21905, 8, 15, 8, 489, 320, 37, 53, 16, 611, 320, 16, 21905, 8, 16, 8, 489, 66621, 489, 320, 37, 53, 308, 611, 320, 16, 21905, 80198, 340, 3947, 374, 1101, 2500, 1749, 11, 2663, 14013, 99181, 11336, 287, 13, 1666, 584, 9932, 6931, 11, 279, 11336, 4478, 45799, 279, 2819, 315, 6776, 11, 5326, 11, 323, 25544, 2345, 3745, 430, 2349, 31978, 439, 892, 16609, 13, 14013, 99181, 11336, 287, 17208, 279, 11336, 287, 2515, 24559, 994, 8515, 3604, 28555, 323, 9093, 810, 24473, 27393, 311, 4261, 13368, 11336, 287, 627, 3947, 527, 1403, 98077, 311, 3881, 280, 4438, 311, 24702, 1403, 2204, 33350, 66885, 449, 423, 9847, 323, 44340, 53, 198, 53809, 25, 2684, 527, 1403, 27260, 7224, 369, 701, 3300, 13, 11995, 1397, 459, 2926, 8515, 704, 6789, 315, 7083, 16, 11, 931, 11, 323, 1855, 4780, 264, 2860, 315, 7083, 17, 11, 5154, 927, 279, 4330, 1667, 4261, 323, 3339, 264, 4272, 8895, 315, 7083, 16, 11, 5154, 13, 56877, 2225, 9341, 2447, 7612, 4528, 9341, 323, 4780, 527, 279, 1890, 11, 902, 2447, 499, 1288, 2793, 30, 320, 9290, 25, 220, 23, 4, 25074, 20359, 9435, 311, 2225, 2447, 340, 8142, 2860, 20192, 6273, 304, 2225, 2447, 389, 9558, 23139, 23260, 11, 279, 18912, 315, 279, 4780, 527, 2204, 13, 1666, 264, 1121, 11, 279, 3118, 907, 315, 1855, 1060, 753, 471, 374, 2204, 627, 17561, 287, 279, 1403, 22538, 11, 279, 8294, 4216, 4780, 304, 5907, 362, 3063, 311, 264, 2731, 4272, 3118, 907, 320, 27321, 53, 8, 1109, 279, 3010, 3544, 471, 304, 5907, 426, 13, 15636, 11, 1023, 2574, 1694, 6273, 11, 5907, 362, 753, 5190, 44340, 53, 471, 18911, 264, 2731, 9341, 6776, 627, 644, 12399, 11, 9558, 27740, 5273, 320, 27321, 53, 8, 323, 33759, 291, 23139, 23260, 320, 78837, 8, 527, 5505, 369, 9341, 6492, 280, 70223, 5829, 369, 3300, 527, 1694, 7863, 198, 791, 2626, 1162, 14861, 1317, 18852, 315, 892, 320, 20375, 477, 810, 1667, 4390, 644, 39240, 323, 704, 39240, 2349, 22009, 927, 892, 320, 68, 1326, 2637, 279, 7928, 4704, 4336, 2586, 520, 264, 2204, 892, 505, 279, 7928, 704, 39240, 4390, 11874, 477, 810, 10778, 5157, 527, 1694, 7863, 323, 814, 1782, 449, 5201, 311, 8515, 6530, 18912, 2949, 279, 6492, 4261, 627, 25310, 13002, 311, 37128, 17961, 25104, 323, 21705, 5830, 198, 8142, 584, 34988, 279, 29217, 11, 682, 6020, 5935, 3046, 617, 4330, 6020, 7039, 11, 323, 21705, 596, 6913, 892, 907, 5865, 527, 7041, 79283, 13, 578, 2007, 3770, 5039, 279, 44554, 2301, 1990, 279, 31052, 7039, 323, 21705, 5865, 369, 701, 10648, 512, 10156, 439, 499, 617, 311, 8312, 520, 3325, 2380, 315, 279, 7482, 311, 11886, 264, 6007, 44, 3575, 304, 264, 6020 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 34593, 64027, 373, 10506, 765, 3658, 16666, 51803, 198, 34593, 64027, 373, 6209, 499, 279, 5845, 311, 8891, 701, 6807, 9815, 323, 6807, 5573, 13, 1472, 4805, 1518, 10631, 922, 1268, 499, 649, 7417, 701, 6807, 4184, 311, 872, 6492, 13, 12623, 11, 433, 5764, 6913, 6807, 16967, 11, 682, 369, 16655, 627, 12, 3658, 7104, 198, 12, 19122, 2057, 5560, 1883, 198, 12, 19721, 505, 3110, 62099, 198, 12, 68502, 315, 12557, 9365, 198, 2409, 828, 69140, 31965, 389, 264, 5912, 8197, 11, 13723, 527, 389, 1579, 5225, 13, 578, 11191, 11964, 54717, 31471, 304, 3389, 220, 679, 22, 374, 832, 315, 279, 1455, 1579, 25171, 10507, 11, 47066, 16614, 2038, 315, 7154, 220, 10465, 3610, 9053, 13, 1666, 264, 1121, 11, 810, 1274, 527, 3411, 369, 5627, 311, 2567, 459, 8071, 389, 872, 6807, 1109, 3596, 1603, 627, 11458, 11, 16967, 701, 6807, 2038, 374, 1101, 1120, 7941, 13, 1102, 8654, 16345, 499, 311, 1935, 1957, 1288, 2555, 77772, 12446, 11, 1935, 7504, 311, 7417, 701, 5573, 11, 323, 10772, 1288, 499, 1397, 6020, 3600, 304, 279, 3938, 627, 10267, 753, 4048, 810, 922, 16967, 701, 6807, 449, 16666, 64027, 373, 627, 3923, 374, 16666, 64027, 373, 5380, 34593, 64027, 373, 6276, 3932, 311, 2567, 459, 8071, 389, 872, 6807, 1934, 323, 5573, 369, 1949, 13, 2030, 11, 304, 264, 9581, 315, 6807, 16967, 2532, 2671, 11, 374, 433, 279, 1314, 2532, 369, 499, 5380, 34593, 64027, 373, 374, 3604, 6724, 1949, 422, 499, 4822, 449, 279, 6913, 2532, 627, 791, 6913, 2759, 690, 2646, 2853, 499, 264, 74953, 11, 912, 5030, 1268, 1317, 499, 1005, 433, 13, 763, 2144, 11, 16666, 64027, 373, 3250, 1431, 1524, 2610, 499, 369, 264, 6807, 3786, 994, 499, 1879, 709, 11, 779, 814, 649, 1431, 6900, 499, 555, 13051, 627, 2409, 779, 1690, 6732, 21039, 872, 6807, 1934, 11, 5573, 11, 477, 16967, 3600, 527, 1949, 994, 814, 3604, 7784, 1431, 11, 1063, 2237, 315, 38141, 3727, 5647, 627, 2746, 499, 1390, 264, 5190, 2532, 2237, 11, 1243, 499, 690, 617, 311, 2343, 369, 459, 14234, 11, 719, 430, 374, 6724, 10309, 13, 1115, 6835, 499, 2680, 311, 810, 4519, 11, 902, 649, 387, 15525, 422, 499, 527, 3318, 311, 7417, 701, 6807, 627, 34593, 64027, 373, 47396, 17333, 198, 791, 1054, 60420, 6462, 2476, 902, 7194, 400, 24, 13, 2721, 264, 2305, 11, 6835, 499, 2680, 311, 459, 6177, 650, 25843, 10793, 1475, 1938, 11, 539, 1120, 3131, 264, 2305, 627, 50674, 11, 1070, 374, 264, 15438, 6807, 1934, 4232, 2561, 11, 7231, 499, 810, 15525, 2038, 922, 1405, 499, 2559, 627, 34593, 64027, 373, 45092, 19721, 198, 791, 1054, 501, 30190, 9313, 863, 3197, 11621, 810, 6807, 16967, 3600, 323, 9764, 28483, 9313, 11, 2737, 400, 16, 3610, 304, 9764, 28483, 8276, 627, 1688, 400, 975, 13, 2721, 824, 2305, 11, 433, 374, 2753, 11646, 1109, 4528, 3956, 1555, 1690, 315, 872, 28650, 627, 4438, 12838, 16666, 64027, 373, 5664, 5380, 4599, 499, 1879, 709, 449, 16666, 64027, 373, 11, 499, 8895, 279, 5845, 311, 8891, 701, 6807, 9815, 323, 6807, 5573, 13, 1472, 4805, 1518, 10631, 922, 1268, 499, 649, 7417, 701, 6807, 4184, 311, 872, 6492, 13, 12623, 11, 433, 5764, 6913, 6807, 16967, 13, 1442, 2555, 389, 701, 6807, 1934, 4442, 11, 1093, 264, 502, 26981, 48700, 709, 389, 701, 1934, 11, 814, 690, 1095, 499, 1440, 627, 2675, 1101, 636, 311, 1518, 264, 6807, 5573, 505, 4149, 33758, 11, 902, 374, 6177, 1475, 2305, 13, 4452, 11, 433, 753, 3062, 311, 5296, 430, 420, 4536, 1431, 264, 435, 33750, 5573, 11, 279, 832, 1455, 46115, 1005, 304, 6807, 11429, 13, 12361, 11, 433, 753, 459, 10778, 2663, 279, 650, 25843, 10793, 220, 18, 13, 15, 627, 32, 650, 25843, 10793, 220, 18, 13, 15, 374, 1511, 555, 1063, 46115, 11, 323, 5829, 264, 220, 3101, 311, 220, 16217, 2134, 11, 1120, 1093, 264, 435, 33750, 5573, 13, 4452, 11, 279, 12384, 430, 45695, 279, 22702, 35327, 505, 435, 33750, 13, 362, 220, 13104, 650, 25843, 10793, 1587, 539, 6273, 264, 220, 13104, 435, 33750, 5573, 627, 11458, 11, 1120, 1606, 264, 650, 25843, 10793, 323, 264, 435, 33750, 5573, 7784, 1431, 279, 1890, 3250, 1431, 3152, 279, 650, 25843, 10793, 4536, 1431, 15525, 13, 1472, 649, 2103, 1005, 433, 311, 8891, 701, 5208, 439, 11, 994, 701, 650, 25843, 10793, 5900, 709, 11, 701, 435, 33750, 5573, 2643, 387, 2133, 709, 2288, 627, 3957, 16666, 64027, 373, 11683, 62259, 5380, 34593, 64027, 373, 374, 16168, 439, 13687, 439, 904, 1023, 10778, 13, 8876, 2038, 505, 701, 6807, 1934, 374, 279, 8197, 11, 814, 527, 1701, 279, 1890, 3649, 439, 904, 1023, 2532, 11, 810, 477, 2753, 627, 791, 1193, 1486, 315, 11249, 28335, 311, 387, 16666, 64027, 373, 753, 1005, 315, 279, 650, 25843, 10793, 4619, 315, 264, 22785, 435, 33750, 5573, 13, 8876, 46115, 6118, 1541, 1431, 17631, 389, 264, 650, 25843, 10793, 369, 6807, 11429, 11, 323, 701, 435, 33750, 5573, 374, 4461, 2204, 505, 279, 650, 25843, 10793, 499, 1518, 11, 433, 649, 387, 14738, 31715, 627, 4071, 11, 904, 5597, 430, 11767, 311, 264, 5190, 650, 25843, 10793, 6118, 7720, 701, 435, 33750, 5573, 2288, 13, 1102, 753, 1120, 3062, 369, 3932, 311, 3619, 430, 1521, 1403, 4211, 656, 539, 8356, 279, 1890, 3135, 11, 779, 701, 435, 33750, 5573, 1253, 387, 5190, 477, 4827, 1109, 279, 650, 25843, 10793, 499, 1518, 627, 34593, 64027, 373, 87684, 198, 3957, 16666, 64027, 373, 23088, 5380, 1271, 1005, 16666, 64027, 373, 11, 499, 656, 617, 311, 3493, 1124, 449, 1063, 4443, 2038, 13, 56877, 430, 1690, 1274, 49816, 311, 6807, 16967, 3600, 1606, 814, 1390, 311, 1304, 2771, 872, 828, 12775, 1431, 21536, 1139, 279, 6206, 315, 21516, 99495, 82, 11, 433, 753, 1193, 5933, 311, 5895, 3508, 16666, 64027, 373, 374, 6220, 311, 1005, 627, 2746, 499, 656, 264, 6913, 7757, 2778, 369, 1054, 34593, 64027, 373, 19832, 2476, 499, 4805, 1518, 520, 3325, 264, 2478, 31186, 430, 46789, 430, 433, 753, 264, 35726, 13, 4452, 11, 1455, 315, 1521, 9908, 7784, 1431, 15933, 13, 12361, 11, 814, 527, 5042, 4560, 311, 21953, 810, 9629, 555, 1156, 3329, 1274, 1139, 18965, 13, 1628, 11, 6118, 11, 3131, 499, 656, 11, 499, 3604, 4363, 389, 264, 6928, 3477, 627, 8142, 912, 1887, 374, 220, 1041, 3346, 9966, 11, 16666, 64027, 373, 374, 35064, 2718, 6220, 13, 2435, 1935, 4642, 7504, 311, 6144, 701, 2038, 13, 12623, 11, 1701, 16666, 64027, 373, 3250, 1431, 5536, 701, 6807, 5573, 13, 6104, 264, 1054, 19221, 6958, 863, 389, 701, 6807, 649, 5353, 701, 5573, 311, 4498, 11, 16666, 64027, 373, 3250, 1431, 656, 264, 2653, 6958, 11, 779, 1070, 374, 912, 65252, 627, 10149, 16666, 64027, 373, 10467, 1472, 18099, 5380, 9642, 11, 16666, 64027, 373, 649, 3665, 499, 3300, 13, 4452, 11, 433, 3250, 1431, 3621, 9651, 555, 1701, 279, 2532, 627, 2746, 499, 1390, 311, 3665, 3300, 555, 1701, 16666, 64027, 373, 11, 1070, 527, 264, 2478, 5627, 499, 649, 10570, 627, 2520, 3187, 11, 422, 499, 1005, 279, 7526, 311, 7417, 701, 6807, 11, 499, 649, 9966, 4827, 2802, 7969, 389, 3956, 1093, 17017, 477, 6807, 7563, 11, 10923, 499, 311, 8108, 279, 3392, 499, 8493, 389, 2802, 627, 68791, 11, 16666, 64027, 373, 1253, 7079, 264, 2027, 499, 8434, 1431, 617, 1766, 389, 701, 1866, 13, 1442, 433, 753, 264, 2731, 3568, 320, 21470, 439, 832, 449, 4827, 2802, 7969, 477, 12718, 705, 499, 649, 3665, 264, 5128, 50169, 627, 34593, 64027, 373, 374, 5128, 76588, 520, 9204, 10778, 29642, 2671, 430, 1253, 8935, 499, 13, 1115, 649, 2997, 502, 3956, 439, 1664, 439, 5627, 311, 8108, 701, 2802, 7969, 11, 1778, 439, 555, 51051, 701, 6484, 6807, 3786, 39954, 311, 2500, 3786, 477, 1701, 264, 11941, 311, 2343, 1022, 701, 6807, 7563, 627, 6854, 16666, 64027, 373, 11736, 1472, 7557, 4487, 5408, 3799, 6948, 5380, 9642, 11, 16666, 64027, 373, 649, 1520, 13, 57194, 505, 279, 6020, 2027, 19075, 11, 814, 1101, 617, 459, 8056, 1054, 3923, 1442, 863, 5507, 430, 15714, 499, 24564, 5370, 11709, 627, 2520, 2937, 11, 279, 5507, 649, 1095, 499, 1518, 1148, 8741, 422, 499, 1304, 3738, 6807, 11429, 13, 1115, 5764, 422, 499, 649, 636, 264, 2731, 320, 269, 11201, 8, 3568, 422, 701, 6807, 5573, 477, 11897, 2865, 4442, 13, 1115, 649, 387, 264, 8147, 12521, 859, 422, 499, 527, 13126, 12798, 1022, 1063, 11897, 311, 7417, 701, 11509, 439, 499, 4805, 387, 3025, 311, 1518, 1148, 2671, 1253, 387, 2561, 1306, 701, 6671, 36050, 627, 2181, 753, 3062, 311, 5296, 430, 279, 5507, 4536, 1431, 220, 1041, 3346, 13687, 13, 12361, 11, 433, 753, 459, 16430, 315, 1268, 701, 5573, 1253, 2349, 422, 499, 1304, 3230, 11709, 13, 4452, 11, 1524, 3582, 499, 7784, 1431, 19883, 1884, 3135, 11, 433, 5825, 264, 6573, 28137, 315, 279, 5536, 315, 904, 4040, 5597, 627, 4438, 12838, 16666, 64027, 373, 7557, 18099, 5380, 4054, 1648, 16666, 64027, 373, 3727, 3300, 555, 10209, 7318, 3600, 311, 6444, 13, 6104, 279, 2385, 2532, 374, 2561, 520, 912, 2853, 11, 499, 617, 279, 3072, 311, 636, 810, 11084, 4519, 323, 16967, 2671, 369, 264, 2678, 11307, 627, 50674, 11, 16666, 64027, 373, 19207, 6807, 3786, 323, 11941, 3956, 430, 1253, 2802, 499, 3196, 389, 701, 5643, 13, 46402, 11, 420, 374, 459, 3187, 315, 459, 22325, 2068, 520, 990, 13, 1442, 499, 5268, 311, 3881, 11, 16666, 64027, 373, 21879, 264, 12396, 627, 11458, 11, 1524, 3582, 814, 1253, 5371, 29865, 15055, 315, 20448, 11, 430, 3250, 1431, 3152, 872, 9650, 4536, 1431, 15062, 994, 814, 1304, 264, 28782, 13, 16666, 64027, 373, 690, 1193, 4822, 304, 2626, 422, 814, 3974, 709, 311, 872, 6332, 9131, 315, 10695, 13723, 13, 11205, 18726, 527, 3196, 389, 42118, 701, 6671, 323, 9455, 2671, 430, 8935, 499, 11, 323, 539, 14647, 1148, 690, 1520, 1124, 1304, 3300, 627, 2181, 374, 3062, 311, 5296, 430, 16666, 64027, 373, 1587, 1101, 617, 7318, 13172, 8717, 11, 4528, 311, 24206, 14058, 389, 904, 45710, 13, 578, 14058, 527, 17550, 11, 779, 433, 5097, 701, 2038, 323, 12034, 1139, 2759, 1603, 832, 374, 12882, 627, 3957, 16666, 64027, 373, 279, 10291, 16666, 51803, 5475, 369, 1472, 5380, 12834, 16666, 64027, 373, 706, 264, 6724, 1949, 2532, 11, 7154, 5127, 649, 8935, 505, 16351, 709, 13, 1472, 649, 8891, 5370, 13878, 315, 701, 6807, 1934, 323, 5573, 449, 14553, 11, 323, 2680, 2038, 430, 8779, 499, 1304, 2731, 11429, 439, 264, 70719, 627, 22560, 11, 16666, 64027, 373, 8544, 505, 1455, 56940, 8336, 527, 6928, 323, 617, 1027, 2533, 279, 2883, 3782, 8800, 279, 6237, 304, 220, 679, 15, 13, 8876, 499, 1541, 1431, 617, 311, 2343, 264, 74953, 320, 269, 1524, 3041, 264, 6807, 3786, 1396, 8, 311, 3041, 433, 264, 1456, 11, 3249, 539, 1893, 459, 2759, 323, 1518, 422, 16666, 64027, 373, 20628, 701, 3966, 30, 1472, 4805, 4461, 387, 6380, 499, 1550, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 23175, 4273, 11182, 7301, 11, 468, 920, 13, 1561, 4356, 198, 79231, 612, 3680, 56654, 4794, 3579, 198, 39, 38912, 426, 13, 7683, 24732, 11, 7023, 61401, 20819, 627, 2028, 5030, 706, 1027, 14183, 311, 279, 26445, 1571, 33549, 311, 220, 1591, 549, 815, 732, 13, 17036, 220, 22422, 1921, 2432, 16, 2432, 34, 8, 320, 35, 4638, 2360, 13, 220, 21, 570, 1115, 374, 264, 7108, 1957, 11, 34833, 2403, 279, 3723, 4273, 6011, 315, 31433, 323, 29422, 11050, 3573, 31337, 4063, 449, 3917, 5030, 29101, 33549, 311, 220, 1591, 549, 815, 732, 13, 17036, 220, 9565, 21, 2948, 2432, 17, 8, 320, 4151, 423, 4638, 2360, 13, 220, 16, 11, 25773, 315, 57817, 4390, 2169, 1673, 3168, 26305, 15177, 3573, 72352, 9251, 909, 10711, 430, 26884, 68502, 675, 12930, 45340, 31433, 22677, 3573, 11237, 17455, 909, 17644, 311, 834, 7198, 279, 74824, 9251, 4245, 311, 4442, 304, 279, 9251, 596, 11692, 320, 307, 2637, 1398, 13, 362, 11, 25773, 315, 11586, 684, 323, 11586, 684, 570, 78382, 74824, 9251, 16495, 311, 617, 279, 47514, 17455, 32616, 323, 951, 380, 505, 13865, 311, 834, 7198, 279, 74824, 9251, 323, 311, 83173, 279, 47514, 17455, 311, 990, 22415, 8046, 449, 279, 74824, 9251, 311, 9006, 904, 19310, 88036, 320, 35, 4638, 2360, 13, 220, 16, 11, 25773, 315, 57817, 11, 1398, 13, 362, 11, 25773, 315, 11586, 684, 26, 1518, 423, 4638, 2360, 13, 220, 966, 11, 8423, 612, 4158, 13, 520, 220, 17, 12, 18, 570, 74824, 9251, 50697, 430, 49696, 11, 1234, 220, 1187, 356, 1006, 2056, 13, 17036, 220, 26281, 13, 3965, 2948, 2432, 18, 705, 574, 54117, 311, 25760, 904, 26086, 449, 5201, 311, 279, 1005, 315, 74824, 64503, 61288, 1990, 279, 74824, 9251, 323, 279, 47514, 17455, 320, 35, 4638, 2360, 13, 220, 16, 11, 25773, 11, 1398, 13, 362, 11, 11586, 97670, 2468, 1919, 13, 9947, 2923, 13, 79946, 220, 605, 4390, 31337, 7108, 420, 1957, 320, 307, 6266, 323, 19089, 320, 35, 4638, 2360, 13, 220, 19, 570, 47514, 17455, 26214, 19089, 320, 35, 4638, 2360, 13, 220, 20, 570, 49696, 1243, 7882, 311, 13738, 279, 1957, 439, 311, 430, 9476, 320, 35, 4638, 2360, 13, 220, 1032, 570, 1115, 7301, 11349, 49780, 49696, 596, 11633, 311, 13738, 320, 35, 4638, 2360, 13, 220, 1313, 8, 902, 574, 18306, 555, 20819, 12131, 20267, 5169, 320, 35, 4638, 2360, 13, 220, 1627, 4390, 2169, 1673, 3168, 1243, 16495, 311, 30569, 279, 68538, 11, 1176, 26559, 459, 3383, 2954, 68538, 902, 1550, 539, 836, 49696, 439, 264, 26884, 320, 35, 4638, 2360, 13, 220, 717, 8, 323, 1243, 7366, 369, 5387, 311, 30569, 320, 35, 4638, 2360, 13, 220, 777, 570, 1115, 28238, 1053, 617, 3779, 3697, 315, 279, 43102, 74824, 9251, 439, 3927, 51664, 323, 50697, 8349, 2403, 502, 40246, 279, 4409, 315, 68502, 675, 12930, 323, 47514, 17455, 11145, 7690, 41168, 3735, 598, 6780, 320, 35, 4638, 2360, 13, 220, 777, 26, 1518, 1101, 423, 4638, 2360, 13, 220, 966, 11, 8423, 612, 4158, 13, 315, 5020, 13, 220, 966, 11, 220, 679, 19, 11, 520, 220, 19, 12, 21, 4390, 791, 9861, 11, 26449, 40246, 47514, 17455, 323, 3735, 598, 6780, 7882, 311, 13738, 279, 3383, 2954, 68538, 320, 300, 1664, 439, 16475, 5387, 387, 11938, 311, 30569, 8, 320, 35, 4638, 2360, 13, 220, 1187, 570, 1115, 7301, 11136, 264, 8423, 323, 97631, 389, 6664, 220, 508, 11, 220, 679, 19, 320, 35, 4638, 2360, 13, 220, 966, 8, 320, 69, 41505, 488, 449, 902, 374, 62357, 8, 430, 11349, 279, 7366, 40246, 6, 11633, 311, 13738, 387, 11938, 323, 430, 43102, 596, 11633, 369, 5387, 311, 30569, 387, 15164, 13, 20819, 20267, 5169, 18306, 420, 8423, 11, 11938, 40246, 6, 11633, 311, 13738, 11, 15164, 43102, 596, 11633, 369, 5387, 311, 30569, 11, 323, 14183, 420, 5030, 1203, 311, 279, 26445, 1571, 369, 4726, 29407, 320, 35, 4638, 2360, 13, 220, 2148, 570, 1666, 264, 1121, 11, 279, 11223, 502, 3927, 51664, 6, 15639, 11633, 320, 35, 4638, 2360, 13, 220, 806, 8, 369, 304, 22544, 7251, 3550, 285, 2704, 574, 15164, 439, 98883, 320, 35, 4638, 2360, 13, 220, 843, 4390, 791, 4360, 1828, 574, 1148, 574, 2163, 315, 420, 1162, 304, 3177, 315, 279, 3485, 11633, 6725, 13, 3161, 279, 35013, 315, 279, 28238, 11, 279, 1162, 312, 29263, 311, 279, 13517, 10711, 8349, 555, 323, 2403, 279, 4113, 9861, 9875, 26, 8617, 11, 279, 43102, 74824, 9251, 2403, 279, 47514, 17455, 13, 16644, 279, 19821, 315, 49696, 439, 264, 26884, 11, 279, 4113, 29101, 278, 8197, 369, 279, 17065, 374, 1457, 32161, 11, 719, 1070, 706, 1027, 912, 11633, 555, 43102, 74824, 9251, 311, 1323, 438, 420, 1957, 311, 1614, 5590, 13, 1102, 374, 539, 2867, 1148, 8625, 311, 387, 70280, 10297, 477, 3508, 1070, 527, 10711, 6918, 2383, 8349, 627, 2170, 264, 1121, 11, 420, 7301, 11713, 264, 8266, 15217, 369, 3297, 220, 1032, 11, 220, 679, 20, 11, 311, 4358, 420, 1633, 4360, 320, 35, 4638, 2360, 13, 220, 1644, 705, 719, 43102, 1550, 539, 5101, 520, 430, 10017, 320, 35, 4638, 2360, 13, 220, 1958, 570, 362, 4726, 10017, 574, 743, 369, 5651, 220, 18, 11, 220, 679, 20, 11, 449, 264, 10163, 311, 43102, 430, 422, 814, 4745, 311, 5101, 430, 420, 7301, 1053, 7079, 59323, 369, 8060, 311, 66943, 1234, 18592, 220, 3174, 1921, 705, 1518, 1101, 12227, 1729, 348, 13, 1561, 4356, 4409, 46955, 7517, 2637, 220, 14274, 435, 13, 18, 67, 220, 17574, 320, 17, 67, 42009, 13, 220, 1049, 16, 8, 320, 307, 36434, 78382, 4745, 311, 5101, 520, 279, 5651, 220, 18, 11, 220, 679, 20, 11, 10017, 320, 300, 1664, 439, 40246, 8, 320, 35, 4638, 2360, 13, 220, 1758, 4390, 16648, 12411, 18592, 315, 16803, 45546, 220, 3174, 1921, 705, 330, 333, 279, 43102, 14865, 311, 66943, 477, 26069, 449, 1521, 5718, 477, 264, 5590, 2015, 11, 264, 26884, 1253, 3351, 311, 13738, 279, 1957, 1975, 11115, 279, 59323, 2015, 5415, 6062, 11, 264, 59323, 1234, 420, 60922, 320, 65, 8, 323, 904, 59323, 539, 1234, 420, 6037, 1131, 27149, 439, 459, 70280, 20901, 389, 279, 50932, 1210, 578, 10657, 28317, 706, 10212, 3892, 9547, 430, 2011, 387, 6646, 1603, 59323, 315, 459, 1957, 369, 8060, 311, 66943, 11, 1518, 65332, 348, 13, 58463, 11, 2360, 13, 220, 3264, 20161, 25009, 11, 423, 4638, 2360, 13, 220, 6028, 11, 220, 1049, 23, 549, 815, 13, 28704, 13, 445, 3337, 1669, 220, 24495, 1721, 11, 520, 353, 23, 12, 24, 320, 54, 920, 2112, 7659, 13, 5033, 13, 220, 972, 11, 220, 1049, 23, 8, 320, 37, 437, 53501, 11, 7023, 13, 622, 6266, 320, 66, 5977, 3723, 4273, 506, 1375, 13, 42865, 348, 13, 452, 28884, 30009, 2637, 4953, 2637, 220, 12935, 435, 13, 18, 67, 220, 14185, 11, 220, 3192, 320, 17, 67, 42009, 13, 220, 1049, 19, 705, 304, 1862, 315, 1202, 59323, 369, 8060, 311, 66943, 570, 5629, 11, 279, 7301, 2011, 2980, 279, 8250, 315, 43102, 596, 8060, 311, 26069, 449, 279, 7301, 596, 7365, 26, 2132, 11, 3508, 43102, 4036, 5406, 430, 4726, 32174, 1053, 1121, 304, 59323, 26, 4948, 11, 3508, 26884, 374, 4461, 311, 387, 34920, 7725, 555, 4726, 32174, 26, 11999, 11, 3508, 279, 7301, 706, 4529, 2512, 311, 13471, 279, 8335, 1990, 46649, 23747, 5590, 13470, 55146, 323, 22973, 43102, 596, 1314, 311, 4245, 1920, 323, 264, 6762, 6140, 311, 387, 6755, 26, 323, 18172, 11, 3508, 279, 11913, 706, 49672, 32448, 279, 41265, 315, 32415, 24679, 311, 59323, 11, 384, 1326, 2637, 42865, 11, 67655, 11, 220, 12935, 435, 13, 18, 67, 520, 220, 12375, 320, 64825, 304, 432, 5308, 9258, 348, 13, 13134, 62756, 612, 11244, 88, 7867, 1065, 520, 7658, 11, 220, 15830, 435, 13, 18, 67, 220, 10967, 11, 220, 11242, 7, 17, 67, 42009, 13, 220, 1049, 23, 8, 320, 716, 2917, 5038, 6030, 2009, 50, 2194, 348, 13, 11166, 596, 4621, 13, 41570, 11, 4953, 2637, 220, 14815, 435, 13, 18, 67, 220, 11056, 11, 220, 12652, 320, 17, 67, 42009, 13, 220, 1049, 16, 8, 320, 782, 513, 1162, 1237, 32103, 348, 13, 36303, 11, 220, 5833, 435, 13, 18, 67, 220, 20711, 11, 220, 20618, 320, 17, 67, 42009, 13, 220, 2550, 21, 570, 2360, 832, 8331, 374, 6449, 1413, 323, 279, 59323, 389, 420, 8197, 374, 22690, 389, 279, 4553, 3335, 11, 42865, 11, 67655, 11, 220, 12935, 435, 13, 18, 67, 520, 220, 13860, 627, 2213, 6852, 1521, 9547, 11, 43102, 1618, 13942, 1403, 2704, 38614, 2768, 279, 7365, 41566, 433, 5387, 311, 30569, 279, 68538, 13, 578, 5406, 369, 279, 2132, 11, 5651, 220, 18, 11, 220, 679, 20, 11, 10017, 26160, 43102, 430, 1202, 8060, 311, 5101, 2643, 3063, 311, 264, 28782, 315, 59323, 315, 279, 4553, 1957, 320, 4151, 423, 4638, 2360, 13, 220, 1958, 570, 90730, 26884, 47514, 17455, 1253, 387, 34920, 7725, 555, 279, 42271, 315, 420, 1957, 1405, 433, 8625, 25420, 279, 8197, 369, 6918, 3917, 5030, 29101, 927, 430, 9266, 13, 578, 13612, 8197, 369, 17065, 315, 420, 1957, 574, 279, 9546, 315, 49696, 439, 264, 26884, 13, 49696, 574, 10711, 15453, 311, 539, 617, 72849, 11175, 315, 279, 74824, 9251, 596, 26086, 449, 47514, 17455, 320, 4151, 423, 4638, 2360, 13, 220, 16, 11, 1398, 13, 362, 570, 22855, 306, 49696, 11, 279, 1162, 374, 16632, 264, 1614, 2383, 1957, 13, 1666, 369, 279, 7301, 596, 13470, 11, 420, 6062, 89460, 1162, 326, 14437, 389, 279, 7301, 596, 656, 4084, 8051, 433, 1253, 617, 1027, 320, 2000, 682, 94615, 8, 27292, 5304, 279, 35013, 315, 5387, 311, 30569, 13, 4185, 1869, 278, 1618, 374, 2753, 264, 45361, 1109, 264, 26314, 430, 11, 555, 43102, 596, 2536, 46256, 13322, 323, 304, 1335, 11, 1070, 374, 4400, 2163, 311, 70280, 8630, 1306, 279, 59323, 315, 49696, 323, 279, 35013, 315, 5387, 311, 30569, 13, 578, 38614, 13847, 1306, 420, 11633, 6725, 1051, 6319, 311, 4048, 422, 43102, 1047, 264, 31528, 6918, 3802, 2163, 477, 3508, 433, 10825, 311, 30569, 389, 264, 2204, 10334, 430, 11224, 264, 6918, 3802, 26, 43102, 596, 19821, 2163, 1884, 4860, 76547, 13, 7089, 3284, 6299, 555, 420, 7301, 320, 1677, 16238, 24679, 477, 38952, 4726, 38614, 11, 369, 3187, 8, 1253, 539, 9006, 279, 4360, 315, 3508, 420, 1162, 374, 31528, 323, 1694, 58559, 13, 30538, 3477, 315, 279, 4553, 3335, 304, 420, 1162, 11, 433, 374, 11349, 430, 279, 1162, 387, 27292, 369, 8060, 311, 66943, 13, 16644, 279, 9861, 1825, 3488, 315, 420, 7301, 596, 3917, 5030, 29101, 927, 279, 74824, 9251, 8288, 44, 17455, 26086, 11, 279, 11349, 59323, 1288, 387, 449, 48786, 11, 1518, 24526, 2056, 732, 344, 1087, 13, 220, 3174, 1921, 4390, 29815, 5304, 279, 3485, 11, 433, 374, 11349, 430, 420, 1162, 387, 27292, 369, 8060, 311, 66943, 555, 43102, 323, 420, 59323, 2564 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 3915, 6975, 1268, 311, 2082, 264, 4382, 5385, 3997, 311, 48429, 459, 384, 12, 34508, 20394, 2816, 3952, 220, 1691, 1667, 323, 433, 706, 1027, 459, 7185, 12141, 13, 9086, 5127, 775, 753, 2324, 11, 2574, 3621, 11, 2574, 2349, 11, 2574, 3351, 389, 627, 5159, 12034, 617, 27448, 291, 505, 19354, 9364, 304, 93136, 1815, 11, 311, 80231, 13987, 9863, 315, 13354, 3871, 11, 311, 84709, 1332, 3510, 1130, 9168, 55308, 1139, 51067, 323, 31817, 13, 16299, 374, 3249, 856, 4113, 5117, 374, 912, 810, 320, 74128, 11, 358, 33484, 11309, 433, 1418, 10917, 709, 420, 3997, 779, 1095, 753, 539, 636, 2288, 98063, 45586, 570, 2030, 1981, 358, 1550, 3350, 264, 2763, 922, 75964, 2641, 323, 1457, 358, 1390, 311, 3350, 264, 2763, 922, 55308, 1389, 779, 1070, 11, 1935, 430, 323, 1093, 433, 4999, 40, 1097, 3318, 389, 49324, 1063, 315, 279, 810, 7185, 8158, 505, 220, 679, 17, 60525, 779, 814, 690, 14297, 387, 3779, 13, 328, 13583, 757, 1314, 369, 1694, 779, 24450, 387, 7403, 4999, 2460, 39351, 3216, 67301, 505, 43337, 2893, 7819, 13, 15668, 19369, 1389, 2884, 304, 55907, 33961, 11, 323, 5128, 74777, 6288, 2288, 13, 358, 1541, 1431, 2512, 422, 433, 374, 10280, 477, 539, 1389, 499, 649, 1431, 1212, 2288, 4216, 449, 701, 13560, 48374, 323, 31817, 4999, 3947, 527, 11758, 315, 1949, 22311, 7224, 2561, 520, 43337, 2893, 7819, 13, 2435, 527, 22311, 1606, 43337, 912, 5129, 24266, 1063, 315, 279, 17135, 719, 814, 2103, 1390, 499, 311, 617, 264, 733, 13, 9369, 389, 279, 3658, 39397, 449, 30909, 1160, 1584, 311, 279, 1314, 315, 279, 2217, 323, 499, 649, 4232, 279, 1949, 13072, 627, 791, 53425, 468, 265, 589, 59519, 3485, 374, 539, 22311, 439, 499, 649, 7782, 279, 17135, 13, 4452, 11, 279, 5497, 374, 2103, 1949, 13, 1115, 26861, 59519, 690, 4762, 1935, 499, 505, 1457, 3156, 1828, 10280, 311, 1304, 719, 3131, 2884, 499, 4805, 617, 433, 16058, 627, 40, 1440, 433, 3250, 1431, 1427, 1093, 433, 719, 358, 13517, 6267, 420, 1203, 304, 6790, 220, 679, 18, 13, 1115, 1060, 320, 33327, 220, 2366, 15, 8, 358, 33484, 11309, 856, 5117, 323, 1097, 21816, 709, 279, 1888, 315, 279, 8158, 323, 312, 97765, 1124, 13, 1115, 5128, 10280, 79760, 5497, 574, 2561, 994, 358, 13517, 6267, 279, 1772, 719, 706, 2533, 1027, 7108, 13, 42536, 369, 603, 682, 358, 9152, 311, 2567, 279, 5448, 323, 279, 22237, 779, 499, 636, 311, 1304, 420, 13081, 41572, 1306, 682, 13, 1472, 649, 9901, 25961, 10746, 369, 279, 5497, 627, 8538, 892, 4227, 358, 574, 18719, 555, 279, 6168, 483, 16450, 386, 311, 5249, 264, 2254, 387, 2277, 1912, 13, 1102, 753, 473, 3097, 48744, 2523, 323, 52956, 856, 6677, 323, 3217, 304, 682, 18445, 13, 1628, 994, 358, 2019, 682, 11, 358, 3152, 3451, 543, 24535, 2684, 753, 4400, 1093, 264, 1912, 315, 3278, 315, 17226, 17051, 323, 36576, 311, 5376, 832, 753, 17985, 315, 279, 1917, 11, 477, 315, 264, 4040, 3917, 627, 791, 43361, 16450, 386, 80220, 6835, 603, 682, 264, 15553, 8352, 994, 279, 4545, 48282, 13, 8155, 1060, 1364, 6688, 603, 1057, 5144, 56874, 1139, 31022, 315, 1069, 88, 1295, 13, 358, 1097, 51975, 311, 2019, 10705, 374, 2103, 3451, 263, 279, 5663, 20182, 439, 832, 315, 856, 387, 2277, 41957, 2795, 13, 10291, 1457, 358, 649, 21930, 433, 389, 856, 387, 2277, 2007, 45088, 1202, 1620, 88848, 16751, 10934, 1139, 264, 6710, 315, 78348, 31817, 627, 2028, 892, 2212, 1364, 1766, 264, 5497, 369, 279, 1455, 69970, 278, 9824, 2697, 53369, 42844, 6319, 555, 47363, 24980, 3258, 12, 1548, 589, 13, 9062, 315, 603, 21879, 459, 53369, 95708, 304, 1057, 7075, 27230, 439, 264, 15553, 8352, 13, 3277, 584, 5602, 279, 1176, 832, 279, 2800, 315, 279, 1912, 743, 709, 264, 83981, 5237, 3633, 315, 289, 33746, 1494, 82, 13, 4149, 22851, 25, 84358, 2727, 11, 84358, 2727, 11, 84358, 2727, 11, 358, 72306, 11, 358, 72306, 13, 2100, 45105, 13, 1226, 10456, 279, 2697, 53369, 627, 3112, 14132, 358, 574, 279, 421, 6729, 478, 315, 1124, 682, 13, 8840, 25237, 4999, 4071, 1268, 1436, 358, 539, 421, 483, 30, 1102, 753, 779, 19369, 627, 2746, 499, 1390, 264, 2697, 53369, 315, 701, 1866, 11, 2010, 927, 311, 47363, 753, 3997, 323, 3780, 279, 16530, 13, 1628, 7344, 2555, 775, 2288, 1389, 1070, 753, 264, 2697, 12224, 5497, 14382, 198, 8586, 753, 2500, 2697, 53369, 5497, 422, 701, 3254, 53369, 1053, 1093, 264, 22489, 13, 1102, 753, 264, 1949, 3094, 14656, 30308, 6685, 22237, 304, 13072, 3645, 11, 555, 432, 61306, 17958, 3978, 2629, 13, 1102, 374, 304, 15155, 719, 279, 7397, 527, 5128, 2867, 627, 23956, 358, 574, 264, 2478, 8158, 4227, 11, 358, 4934, 311, 1935, 420, 3917, 264, 2766, 4726, 627, 2367, 75964, 1303, 44912, 2873, 311, 387, 2478, 323, 3117, 1990, 389, 279, 8191, 13, 2468, 3325, 11, 1884, 902, 4639, 279, 1648, 358, 1450, 61836, 13, 358, 4934, 311, 3085, 264, 4526, 315, 7902, 719, 14132, 420, 374, 539, 2133, 311, 3621, 627, 42584, 800, 13915, 706, 264, 2294, 22237, 8621, 389, 75842, 22168, 1389, 24118, 701, 8704, 3489, 321, 1303, 13, 358, 4762, 1093, 420, 22237, 1606, 420, 374, 7041, 1268, 358, 1450, 61836, 13, 3005, 40912, 279, 20263, 445, 982, 57267, 11, 323, 279, 72523, 20991, 270, 318, 901, 627, 14364, 22237, 374, 264, 2835, 1903, 555, 35336, 47685, 13, 3005, 5829, 279, 3185, 315, 279, 270, 318, 901, 4856, 1109, 279, 11813, 627, 40, 617, 220, 17, 72523, 20991, 270, 21495, 645, 719, 1766, 264, 17104, 15310, 323, 61016, 295, 270, 318, 901, 520, 279, 7327, 3489, 3036, 17772, 13, 19332, 555, 350, 622, 27109, 11, 433, 374, 16102, 29441, 311, 856, 14654, 323, 1633, 5128, 627, 2028, 374, 856, 733, 311, 270, 318, 901, 439, 433, 374, 3177, 719, 3831, 13, 1102, 6276, 856, 14654, 32095, 311, 52651, 704, 520, 279, 11813, 627, 2181, 11321, 6555, 389, 856, 14654, 11, 323, 433, 374, 1093, 264, 6710, 315, 31817, 627, 5159, 22698, 374, 311, 4585, 279, 75964, 1303, 31409, 1701, 279, 3185, 477, 2385, 315, 279, 270, 318, 901, 323, 1070, 527, 11510, 315, 5213, 125800, 311, 17543, 279, 842, 1418, 51346, 433, 1555, 279, 13354, 13, 19984, 9151, 279, 842, 315, 279, 31409, 520, 264, 1314, 9392, 311, 279, 13354, 358, 30373, 4585, 279, 11813, 1555, 3156, 358, 649, 2733, 433, 449, 279, 6278, 14654, 30456, 13, 5112, 358, 19336, 1203, 709, 11, 3577, 279, 13354, 1523, 779, 433, 3727, 264, 2697, 24898, 389, 1948, 323, 4585, 279, 31409, 1555, 13, 22591, 67724, 1742, 13, 5046, 3388, 11, 358, 617, 264, 1650, 37588, 14654, 11813, 1306, 264, 1418, 1981, 627, 2028, 6945, 374, 264, 7872, 315, 16591, 4656, 592, 580, 276, 1389, 27700, 278, 1989, 61836, 13, 1102, 374, 1450, 61836, 291, 1701, 767, 36110, 660, 75964, 1303, 24428, 902, 374, 856, 1455, 478, 4799, 98205, 955, 315, 4617, 13, 11746, 14282, 291, 477, 767, 36110, 660, 4617, 6835, 499, 264, 17104, 5066, 6324, 315, 2955, 323, 12745, 389, 1948, 315, 279, 6710, 627, 791, 1427, 323, 2733, 315, 279, 1450, 61836, 33961, 374, 5016, 13, 763, 2077, 311, 856, 6931, 1772, 47142, 6267, 1389, 1054, 791, 2733, 11, 279, 10651, 323, 279, 10973, 13444, 315, 279, 1450, 311, 13354, 1989, 374, 539, 1524, 15499, 30139, 311, 279, 5780, 28598, 1121, 49216, 4599, 358, 1176, 11096, 264, 75964, 1303, 33592, 11, 1203, 304, 220, 2550, 22, 11, 358, 3463, 1054, 45010, 1274, 527, 19058, 3097, 53967, 311, 8493, 9214, 315, 4207, 3339, 5238, 315, 13987, 63036, 13, 4702, 311, 3412, 1063, 2697, 9660, 315, 13354, 3871, 30, 10009, 3083, 84704, 386, 5358, 50, 49216, 7979, 323, 856, 52319, 5780, 527, 14268, 13171, 315, 80231, 13354, 3871, 13, 4740, 682, 11, 358, 1903, 856, 1866, 15447, 555, 5780, 369, 1667, 1418, 358, 12439, 304, 279, 4410, 85318, 11, 3249, 3009, 1457, 30, 2100, 856, 1176, 22772, 75964, 2641, 1051, 5780, 61836, 291, 13, 15668, 4382, 7833, 5238, 627, 8586, 753, 264, 3345, 709, 315, 62245, 355, 529, 60287, 899, 645, 28968, 811, 220, 16, 449, 5780, 95708, 8502, 17560, 5238, 13, 1628, 10035, 11, 1070, 374, 912, 3488, 358, 61836, 291, 323, 8220, 420, 6710, 1633, 6288, 627, 31082, 358, 2751, 11953, 3201, 323, 9687, 1268, 311, 5780, 43773, 698, 323, 757, 8363, 323, 3350, 272, 16921, 323, 1304, 56994, 14382, 198, 2028, 374, 264, 7872, 315, 279, 72829, 22676, 61836, 45201, 6193, 386, 14310, 51410, 11940, 13, 358, 6319, 433, 520, 264, 42893, 51353, 80599, 26129, 304, 26367, 84, 936, 71, 13, 1472, 649, 1518, 279, 43773, 50185, 75964, 1303, 10168, 279, 6710, 3871, 627, 3112, 433, 4460, 5780, 80231, 627, 11769, 3254, 6710, 315, 420, 61836, 374, 1450, 95708, 3871, 449, 264, 48135, 927, 27494, 13, 9934, 323, 1450, 61836, 323, 499, 1053, 617, 1633, 36366, 19779, 11, 50739, 3411, 61437, 63036, 323, 264, 14470, 326, 6895, 61836, 13, 1102, 3727, 5647, 311, 1005, 264, 52319, 5780, 389, 1778, 20155, 627, 8607, 1989, 75964, 2641, 3432, 11, 323, 1524, 8776, 75964, 2641, 11, 527, 5780, 95708, 13, 20055, 398, 627, 10596, 520, 420, 6710, 3549, 555, 25518, 285, 921, 1604, 53071, 627, 28671, 74, 574, 22034, 279, 220, 679, 17, 11060, 17768, 369, 8926, 5277, 5050, 520, 279, 37811, 37, 304, 16386, 11, 8421, 13, 1115, 374, 682, 5780, 80231, 13, 1102, 753, 5115, 41792, 13, 1102, 3727, 264, 1972, 5224, 369, 1701, 264, 52319, 5780, 439, 459, 1989, 5507, 627, 40, 1550, 1304, 3892, 75964, 2641, 1701, 5780, 75964, 1303, 13, 358, 1524, 11021, 264, 2875, 6916, 75964, 1303, 4124, 779, 358, 1436, 2865, 323, 990, 389, 8294, 9863, 627, 4071, 358, 574, 22999, 922, 420, 1450, 75964, 1303, 2626, 323, 6773, 311, 1456, 433, 704, 13, 578, 27509, 3697, 9087, 323, 264, 43660, 2363, 1389, 3011, 24118, 69023, 555, 72523, 20991, 4584, 6719, 3433, 2751, 757, 2216, 67724, 627, 791, 1427, 315, 279, 63036, 374, 17104, 11, 323, 1888, 315, 682, 11, 3339, 279, 63036, 374, 78729, 323, 26733, 13, 763, 856, 1917, 1070, 374, 912, 12593, 1990, 1450, 323, 5780, 75964, 1303, 13, 2435, 527, 1403, 2204, 10099, 449, 2204, 25664, 304, 2324, 13, 1442, 358, 1436, 387, 264, 7491, 5780, 934, 2088, 358, 1053, 1389, 719, 433, 3287, 1431, 1935, 627, 4516, 358, 5268, 311, 387, 264, 7491, 1450, 934, 2088, 323, 4774, 856, 6366, 270, 21495, 645, 323, 1650, 37588, 72148, 13, 1628, 1457, 358, 1450, 33961, 682, 279, 1989, 75964, 2641, 358, 1893, 627, 4599, 420, 5497, 505, 2893, 329, 323, 6739, 8710, 709, 358, 7846, 1431, 22884, 433, 13, 3092, 6691, 16180, 281, 56458, 1389, 1364, 6880, 1124, 3451, 10194, 86, 826, 24535, 358, 1903, 832, 369, 1077, 15553, 627, 791, 8220, 387, 14589, 281, 46972, 374, 1120, 927, 832, 17560, 1579, 13, 1102, 706, 264, 2697, 9986, 902, 3445, 433, 649, 387, 14980, 709, 13, 1442, 499, 1051, 8430, 2216, 30571, 499, 1436, 1304, 1403, 323, 617, 264, 6857, 315, 3451, 10194, 24510, 529, 67301, 13, 2582, 1304, 832, 369, 264, 42844, 627, 7009, 1304, 709, 2216, 6288, 779, 499, 649, 617, 832, 8220, 304, 459, 11714, 627, 2170, 358, 1097, 264, 934, 2088, 358, 1047, 11510, 315, 51910, 92885, 311, 5266, 279, 2547, 13, 22748, 433, 32620, 779, 279, 2547, 13656, 709, 7833, 627, 791, 11470, 527, 1949, 11, 814, 527, 1664, 5439, 1389, 520, 3325, 358, 16365, 1124, 0, 1628, 1070, 527, 47287, 311, 733, 449, 279, 1495, 13, 578, 5497, 574, 6319, 555, 8563, 13972, 627, 11631, 701, 387, 14589, 281, 46972, 5497, 505, 2893, 329, 323, 6739, 14756, 13, 1472, 656, 1205, 311, 387, 264, 33215, 311, 279, 14756, 311, 4232, 420, 4040, 2447, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 25099, 374, 279, 1401, 311, 2324, 0, 1628, 584, 617, 2555, 369, 5127, 596, 36263, 1618, 13, 5659, 87952, 11936, 311, 279, 220, 3753, 15, 82, 2477, 13280, 11, 499, 690, 1505, 1120, 1148, 499, 2351, 3411, 369, 13, 5659, 11325, 7437, 311, 24318, 69605, 64436, 11, 279, 5873, 374, 18821, 627, 2460, 315, 1057, 5609, 12383, 617, 14265, 11, 3544, 1194, 323, 527, 10728, 369, 9191, 1274, 449, 32415, 6548, 492, 311, 1833, 13, 2435, 649, 387, 4604, 84621, 1142, 477, 584, 3085, 3927, 5609, 12383, 482, 1120, 2015, 439, 1690, 439, 499, 1205, 13, 5751, 5644, 4791, 20521, 7437, 527, 10728, 369, 13326, 2512, 2162, 5820, 30478, 3046, 627, 25099, 323, 26139, 374, 264, 17033, 15419, 430, 649, 15405, 4353, 40412, 19459, 369, 1884, 449, 52857, 323, 649, 1520, 364, 675, 3448, 6, 4423, 596, 17743, 323, 3493, 459, 20616, 1139, 872, 3347, 6439, 13, 8595, 539, 923, 264, 2478, 24198, 311, 1520, 449, 37390, 323, 923, 2802, 311, 264, 4731, 15419, 3882, 627, 10445, 539, 2543, 1203, 279, 9042, 449, 1057, 11070, 39393, 31125, 30704, 11325, 323, 5609, 2239, 743, 13, 34199, 660, 1139, 5526, 5041, 3039, 15612, 1592, 981, 11, 1884, 449, 279, 10151, 649, 15612, 3201, 311, 279, 4731, 1418, 3885, 7936, 3235, 311, 279, 4339, 13, 1442, 499, 1120, 1390, 311, 15998, 709, 389, 701, 29066, 15105, 2085, 279, 26139, 11, 1057, 13131, 3039, 70629, 10948, 11325, 374, 279, 4832, 5844, 857, 3904, 311, 279, 11506, 1354, 4999, 42, 826, 315, 44851, 374, 1120, 279, 3245, 311, 4933, 264, 1208, 3948, 389, 264, 41630, 13658, 477, 11714, 11, 19937, 449, 68782, 323, 41367, 11936, 505, 279, 13452, 315, 279, 6122, 2439, 11, 11291, 82188, 11, 19036, 81367, 5099, 13, 1102, 1304, 264, 2294, 8352, 311, 26085, 4423, 709, 2288, 627, 2675, 3077, 10456, 279, 9698, 11, 1457, 4774, 26139, 3235, 311, 682, 701, 19214, 55090, 449, 1057, 2468, 279, 27019, 11325, 323, 5609, 2239, 743, 13, 65465, 3544, 11, 14265, 1194, 3727, 420, 4832, 369, 9191, 1274, 477, 5606, 449, 264, 14254, 53317, 13, 220, 845, 19214, 55090, 2997, 364, 76702, 304, 3816, 6, 505, 22938, 11617, 11, 364, 2170, 4212, 61261, 3296, 6, 505, 11301, 370, 10946, 936, 323, 11070, 287, 763, 578, 22674, 505, 279, 4295, 4632, 13, 9176, 315, 279, 55090, 527, 42045, 1193, 11, 902, 3727, 420, 2294, 369, 26139, 5315, 627, 40914, 311, 636, 5127, 304, 279, 59937, 9090, 0, 220, 1135, 10280, 58034, 311, 7936, 3235, 311, 323, 95263, 3347, 6380, 19459, 13, 2052, 11936, 555, 4113, 13820, 627, 35353, 11, 14265, 1194, 362, 19, 5609, 2239, 311, 19780, 1057, 10280, 11070, 39393, 11325, 323, 19508, 2239, 743, 13, 49527, 422, 499, 1205, 810, 1109, 832, 2363, 482, 2015, 439, 1690, 439, 499, 1205, 13, 5856, 26139, 706, 1027, 19168, 311, 387, 7701, 24629, 311, 5606, 5496, 449, 264, 52857, 13, 10928, 6901, 11028, 315, 1664, 22015, 58034, 527, 4832, 369, 5606, 449, 7347, 6666, 9575, 13, 353, 68595, 3336, 32401, 18076, 643, 198, 9315, 682, 701, 19214, 55090, 449, 1057, 37626, 622, 10647, 2054, 11, 449, 264, 220, 1691, 267, 28200, 27744, 13, 3053, 387, 10815, 311, 50712, 482, 1120, 2610, 1148, 11936, 499, 1053, 1093, 311, 6865, 323, 433, 690, 1514, 0, 1472, 649, 1101, 1005, 433, 311, 24928, 499, 994, 311, 1935, 24099, 11, 1148, 4455, 82437, 527, 13205, 11, 2339, 709, 389, 279, 502, 323, 9020, 311, 904, 9063, 8216, 13, 49527, 369, 1884, 5496, 449, 264, 52857, 482, 27024, 4477, 8554, 439, 264, 27626, 13, 24118, 369, 1005, 449, 2512, 2162, 11062, 323, 1884, 5496, 29235, 27083, 627, 33099, 3725, 4183, 6380, 11936, 22923, 612, 26921, 264, 6928, 612, 21416, 7936, 19308, 647, 3882, 13, 1115, 374, 539, 1120, 264, 18584, 11, 420, 374, 264, 34030, 5820, 430, 649, 387, 14333, 892, 612, 892, 1578, 13, 1115, 374, 439, 3345, 311, 264, 3974, 39823, 291, 477, 3663, 4791, 30188, 7936, 19308, 647, 3882, 499, 649, 636, 13, 54064, 2023, 287, 5609, 2239, 374, 17124, 304, 12745, 449, 24142, 10666, 304, 2867, 612, 4228, 311, 1373, 362, 19, 25112, 627, 32, 16560, 59937, 2373, 315, 1057, 5526, 7936, 39393, 7437, 13, 220, 1958, 1664, 27578, 2111, 10280, 49644, 11936, 2737, 1841, 3145, 323, 5526, 11936, 2737, 386, 29400, 998, 68, 612, 32926, 11, 622, 2222, 426, 6572, 5099, 13, 4427, 1812, 48779, 323, 1063, 2539, 11936, 627, 11874, 4207, 315, 1664, 27578, 2111, 11, 86605, 1812, 48779, 505, 220, 6393, 15, 311, 279, 3118, 1938, 13, 49527, 369, 264, 4717, 477, 1120, 264, 1695, 2362, 7936, 39393, 13, 27044, 362, 19, 3544, 1194, 5609, 2239, 13, 54751, 2997, 364, 9219, 78212, 518, 364, 44, 16094, 648, 3297, 518, 364, 4554, 2468, 578, 10846, 22353, 1628, 14409, 6, 323, 1690, 810, 4999, 11873, 5609, 2239, 304, 3544, 11, 14265, 1194, 311, 19780, 1057, 8722, 435, 70416, 220, 17, 865, 11325, 612, 5609, 2239, 743, 13, 220, 1041, 1664, 10456, 14242, 11, 10728, 369, 5606, 9191, 477, 449, 7347, 14254, 13, 5856, 26139, 706, 1027, 19168, 311, 617, 264, 24629, 2515, 389, 1274, 482, 5423, 369, 5606, 5496, 449, 264, 52857, 13, 3580, 3770, 369, 3839, 15182, 627, 91557, 2442, 3713, 58034, 505, 279, 220, 1135, 82, 14, 1399, 82, 13, 11325, 16, 374, 2875, 84490, 320, 64053, 369, 10368, 16079, 570, 11325, 17, 374, 2539, 4113, 11936, 449, 3544, 1194, 5609, 2239, 13, 37970, 264, 2294, 5369, 311, 904, 25960, 4717, 477, 22310, 13, 16457, 369, 3995, 323, 2362, 27083, 449, 1521, 58034, 311, 7936, 3235, 323, 15612, 311, 627, 7816, 54969, 2294, 82, 311, 636, 279, 4717, 2133, 0, 11325, 16, 706, 2875, 1812, 48779, 505, 279, 9958, 430, 527, 10728, 369, 10368, 16079, 13, 11325, 17, 706, 2539, 14242, 13, 65840, 2997, 2577, 78772, 64643, 11, 85545, 5158, 323, 39627, 13, 10435, 389, 701, 29066, 15653, 323, 364, 496, 332, 701, 6392, 6, 311, 1521, 2523, 13280, 315, 279, 220, 2031, 82, 14, 1490, 82, 627, 10464, 1285, 5066, 5609, 2239, 311, 733, 449, 1057, 5526, 7054, 18165, 220, 6280, 15, 82, 13280, 2033, 11325, 323, 5609, 2239, 743, 13, 220, 1135, 1664, 27578, 2111, 11936, 311, 7936, 3235, 311, 323, 682, 304, 3544, 11, 14265, 1194, 430, 1304, 433, 4228, 311, 1373, 13, 8595, 539, 3780, 3403, 369, 701, 1912, 323, 923, 1063, 18273, 24198, 311, 2216, 636, 5127, 304, 279, 20247, 0, 353, 68595, 3336, 32401, 18076, 643, 627, 1135, 4113, 58105, 53805, 505, 279, 220, 6280, 15, 82, 311, 7936, 39393, 311, 13, 27044, 220, 17, 62437, 5636, 3544, 1194, 5609, 2239, 13, 53204, 2997, 25, 67306, 4203, 3258, 11, 25225, 285, 6187, 323, 810, 627, 1135, 19214, 53805, 505, 279, 220, 5162, 15, 82, 311, 7936, 39393, 311, 13, 2638, 5764, 220, 17, 62437, 5636, 3544, 1194, 5609, 2239, 13, 27044, 67306, 4203, 3258, 11, 578, 67549, 323, 810, 627, 60300, 3235, 311, 682, 701, 19214, 13280, 304, 420, 362, 19, 3544, 14265, 1194, 5609, 2239, 13, 1115, 5066, 5609, 2239, 7902, 449, 1057, 5742, 220, 16, 54751, 11325, 323, 19508, 2239, 2638, 320, 1889, 25, 11325, 1399, 8, 311, 2187, 5066, 20852, 13, 353, 68595, 3336, 32401, 18076, 643, 627, 1959, 220, 1041, 19214, 11, 83374, 1812, 48779, 389, 264, 2294, 2033, 11325, 4526, 13, 578, 3544, 43245, 4604, 84621, 2205, 5609, 2239, 4519, 4339, 311, 682, 279, 11936, 13, 1556, 10728, 43650, 3510, 768, 12576, 13, 40200, 2997, 25, 364, 31784, 3216, 4718, 42782, 39863, 518, 364, 33, 1752, 364, 2321, 2052, 518, 364, 791, 32402, 774, 12839, 6, 323, 1690, 810, 4999, 100192, 5066, 5609, 2239, 311, 733, 449, 1057, 5526, 24241, 21882, 2033, 11325, 323, 5609, 2239, 743, 13, 220, 1041, 71414, 5609, 1812, 48779, 311, 19780, 13, 6017, 374, 3544, 11, 14265, 1194, 311, 1304, 433, 4228, 311, 1373, 13, 49527, 11936, 369, 4731, 15419, 5315, 5423, 369, 5606, 5496, 449, 264, 52857, 13, 353, 68595, 3336, 32401, 18076, 643, 627, 10803, 4406, 278, 11519, 350, 1354, 3258, 323, 30500, 10437, 383, 7183, 578, 53527, 62088, 46276, 603, 449, 220, 1135, 83374, 1812, 48779, 505, 279, 220, 6393, 15, 82, 13, 27044, 3544, 1194, 362, 19, 5609, 2239, 430, 649, 387, 4604, 84621, 1142, 311, 7431, 3544, 5315, 311, 5249, 304, 323, 7936, 3235, 311, 872, 19214, 14242, 627, 11873, 5609, 2239, 311, 19780, 1057, 11325, 323, 19508, 2239, 743, 315, 220, 1135, 1812, 3258, 11936, 505, 279, 220, 6393, 15, 82, 13, 6017, 374, 304, 3544, 11, 14265, 1194, 430, 3727, 433, 5423, 1695, 369, 9191, 1274, 13, 10948, 15419, 706, 17033, 311, 387, 11190, 369, 5606, 5496, 449, 264, 52857, 13, 10928, 6901, 14242, 527, 10728, 369, 1884, 449, 264, 7347, 6666, 9575, 5013, 68595, 3336, 32401, 18076, 643, 627, 60300, 3235, 311, 220, 1591, 4851, 2695, 34002, 11936, 505, 279, 5526, 10868, 323, 13219, 505, 6406, 28457, 16876, 304, 14990, 13, 27044, 362, 19, 3544, 1194, 5609, 2239, 13, 19122, 14624, 520, 1202, 1888, 449, 264, 7029, 2134, 315, 4382, 7936, 3235, 55090, 505, 279, 26139, 34821, 627, 2675, 649, 4661, 1518, 279, 11506, 1354, 11, 12700, 14531, 323, 2064, 819, 315, 84064, 263, 449, 420, 50189, 13131, 3039, 70629, 10948, 11325, 13, 10699, 2731, 1109, 279, 36467, 315, 5041, 3039, 7200, 4731, 11, 33412, 8211, 83838, 323, 13142, 25733, 311, 18454, 499, 449, 220, 4370, 15612, 53805, 13, 10948, 374, 19180, 1139, 15612, 24108, 13, 24118, 369, 430, 13658, 15600, 15612, 0, 7429, 1304, 264, 2294, 22443, 17479, 5844, 857, 3904, 627, 1272, 65464, 323, 95609, 11936, 311, 12157, 701, 20247, 13, 362, 22443, 6651, 315, 67743, 4511, 323, 18330, 11936, 311, 7936, 3235, 311, 13, 27044, 362, 19, 3544, 1194, 5609, 2239, 430, 649, 387, 4604, 84621, 1142, 311, 7431, 3544, 5315, 311, 4774, 26139, 3235, 311, 1521, 19214, 55090, 627, 4645, 5526, 55090, 6476, 389, 459, 2362, 68556, 468, 1103, 21114, 10995, 3041, 420, 743, 264, 12742, 3210, 83374, 2733, 5450, 7548, 389, 4264, 24142, 323, 264, 220, 845, 2199, 7936, 39393, 5609, 2363, 627, 62698, 950, 93148, 11, 279, 4832, 5820, 369, 1938, 36282, 11, 2512, 10632, 323, 19424, 13, 29524, 1194, 1022, 279, 1847, 25112, 499, 1397, 11, 3480, 389, 323, 1514, 4999, 6854, 499, 10765, 279, 10578, 30, 1115, 45241, 76985, 1105, 11325, 612, 6938, 2638, 374, 264, 2294, 14624, 5820, 369, 9191, 1274, 304, 2512, 10632, 627, 1399, 23160, 68782, 323, 11936, 311, 4933, 264, 43560, 273, 13, 220, 18, 4207, 315, 11670, 58034, 505, 40139, 24421, 11, 49498, 13926, 11, 61352, 8384, 11118, 323, 1690, 810, 13, 84135, 3235, 449, 279, 6122, 2439, 364, 56, 287, 51491, 19508, 6, 438, 48973, 1884, 38057, 449, 364, 12555, 356, 5100, 6, 555, 25972, 42865, 3235, 449, 1690, 810, 627, 1991, 5127, 32681, 3235, 449, 1521, 23160, 53805, 482, 4395, 505, 95285, 8270, 311, 4497, 92157, 323, 62101, 13, 9176, 690, 6227, 1521, 12835, 7561, 24725, 58034, 505, 279, 6007, 323, 9063, 5039, 315, 279, 3347, 13, 220, 2075, 68782, 323, 11936, 311, 18454, 2225, 3995, 323, 2362, 627, 60300, 39393, 311, 1521, 11670, 13280, 315, 279, 220, 6280, 15, 82, 323, 4774, 279, 2835, 311, 8346, 24632, 19459, 13, 22991, 505, 26480, 11, 24318, 69605, 11, 25695, 477, 6437, 4264, 11028, 627, 39814, 11, 3821, 11, 7936, 39393, 477, 656, 682, 2380, 449, 420, 11364, 4526, 315, 9454, 93839, 596, 1455, 1664, 3967, 90113, 13, 28730, 5101, 389, 4264, 439, 499, 7936, 13, 22991, 505, 26480, 11, 24318, 69605, 477, 25695, 2373, 4519, 13, 27044, 25, 364, 2645, 14381, 304, 279, 13120, 518, 364, 29951, 20793, 3161, 2206, 6, 323, 1690, 810, 13280, 627, 508, 19214, 11670, 11936, 505, 279, 1455, 1664, 3967, 6566, 18273, 82, 482, 1070, 596, 2555, 1618, 369, 5127, 311, 3821, 11, 9020, 323, 5249, 304, 13, 8681, 369, 3544, 5315, 627, 38, 24705, 7091, 11, 36858, 11, 30371, 7091, 11, 8987, 9501, 11, 2477, 420, 18584, 706, 433, 682, 13, 4610, 332, 701, 6392, 449, 220, 605, 1664, 3967, 11936, 2737, 13280, 505, 14469, 7209, 11, 38530, 4323, 288, 11, 29988, 2465, 77185, 6672, 11, 31858, 5929, 323, 810, 4999, 2460, 701, 58034, 311, 2804, 311, 449, 420, 2294, 55957, 323, 46048, 57200, 24318, 69605, 18584, 13, 469, 7776, 27894, 273, 52668, 477, 83443, 2212, 1093, 60333, 622, 10322, 0, 3161, 220, 605, 2294, 14242, 311, 7936, 3235, 311, 11, 449, 264, 1396, 315, 3113, 2671, 311, 5268, 505, 11, 279, 2523, 8638, 1618, 4999, 3957, 13842 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 65007, 2234, 480, 15686, 100236, 81, 5281, 5165, 5657, 11, 902, 41095, 279, 28497, 36373, 7217, 480, 15686, 323, 100236, 81, 5281, 320, 4291, 6166, 2234, 7438, 1054, 16966, 467, 56955, 22225, 2011, 4478, 439, 832, 315, 279, 12224, 287, 22020, 315, 36664, 13936, 11, 323, 374, 36659, 279, 1455, 3062, 323, 1664, 22015, 12224, 287, 2816, 389, 279, 13218, 315, 8102, 13, 9843, 499, 10299, 311, 13141, 433, 12722, 1389, 902, 1253, 1935, 1063, 892, 422, 856, 1866, 5195, 11704, 527, 904, 28137, 1389, 499, 690, 1505, 11510, 315, 2038, 2930, 922, 279, 20229, 323, 279, 12224, 287, 2949, 420, 8056, 6246, 13, 358, 574, 1633, 40510, 311, 4034, 279, 6246, 11157, 11, 3131, 304, 5936, 220, 679, 17, 323, 1120, 6051, 304, 6841, 220, 679, 18, 11, 323, 649, 7373, 7838, 430, 279, 12224, 287, 374, 25706, 13, 1102, 374, 779, 25706, 13118, 11, 323, 279, 6246, 374, 779, 14134, 12263, 555, 12224, 388, 11, 430, 1070, 374, 7995, 912, 1205, 369, 904, 810, 12224, 287, 10631, 323, 2038, 922, 433, 13, 578, 12224, 287, 10537, 374, 779, 1790, 51114, 430, 358, 1511, 264, 1934, 505, 220, 2550, 21, 11, 902, 358, 1766, 1633, 11190, 323, 902, 649, 387, 1766, 1618, 13, 1115, 374, 1148, 1455, 8577, 6821, 690, 3371, 499, 512, 12, 22991, 356, 581, 347, 300, 439, 264, 6041, 1486, 323, 4822, 520, 96882, 753, 5105, 73437, 198, 12, 27628, 369, 520, 3325, 2380, 2919, 422, 499, 649, 198, 12, 4418, 1431, 10894, 311, 12224, 304, 356, 581, 347, 300, 23869, 45983, 19558, 198, 12, 25218, 279, 5426, 6246, 520, 356, 581, 347, 300, 11, 1070, 374, 1193, 832, 1853, 430, 11767, 709, 311, 279, 30048, 13, 2684, 323, 1203, 1578, 13, 578, 1925, 12224, 287, 14491, 3235, 420, 9025, 527, 320, 1527, 3428, 311, 1579, 27255, 8, 279, 20396, 3158, 11, 279, 40190, 315, 8868, 11940, 11, 279, 12292, 287, 11, 279, 10164, 13772, 11, 6690, 11233, 300, 11, 323, 1243, 279, 2800, 315, 279, 66306, 682, 279, 1648, 311, 279, 30048, 627, 12, 578, 1455, 3062, 14491, 369, 12224, 388, 527, 1990, 279, 20396, 323, 8868, 11940, 11, 449, 264, 2478, 60874, 520, 279, 12292, 287, 323, 279, 10164, 13772, 11, 323, 279, 1853, 505, 279, 70151, 311, 6690, 11233, 300, 13, 35971, 4726, 709, 374, 539, 1193, 1633, 79953, 320, 576, 374, 264, 66306, 11, 6227, 10380, 719, 690, 1101, 539, 923, 1790, 20057, 1389, 1193, 1063, 3361, 1385, 627, 10445, 1097, 358, 4477, 264, 1772, 922, 12224, 287, 22450, 2234, 480, 15686, 100236, 81, 5281, 994, 682, 753, 1027, 1071, 323, 2884, 2736, 5380, 11649, 11, 499, 1518, 5354, 279, 6246, 15812, 1193, 1403, 4207, 10007, 315, 64133, 11, 264, 58506, 3158, 315, 810, 1109, 220, 966, 3610, 1274, 13, 7566, 11, 2212, 279, 1890, 1396, 315, 1274, 3974, 2949, 1403, 4207, 315, 279, 5426, 6246, 439, 304, 682, 315, 7008, 13, 1115, 3727, 22450, 2234, 480, 15686, 264, 1633, 5526, 9178, 9284, 11, 323, 499, 617, 912, 4623, 1268, 1790, 279, 4751, 1054, 1225, 863, 3966, 311, 387, 46728, 1618, 13, 1952, 264, 9178, 11, 279, 6246, 374, 1120, 19937, 449, 1274, 13, 7648, 8577, 6821, 9093, 5042, 8631, 430, 12224, 388, 1288, 5766, 279, 38102, 13, 16299, 374, 7060, 994, 499, 527, 389, 264, 13560, 8577, 1405, 499, 649, 1514, 2212, 449, 701, 74004, 13, 1442, 4869, 499, 527, 389, 264, 2626, 8577, 311, 64133, 323, 3685, 311, 990, 2391, 279, 2046, 11, 499, 617, 719, 2697, 5873, 311, 12224, 279, 6246, 389, 279, 9178, 13, 1115, 12716, 1202, 1633, 1866, 11774, 323, 15174, 922, 902, 2697, 706, 1027, 5439, 627, 644, 420, 1176, 961, 11, 358, 4805, 5357, 389, 279, 4689, 13878, 323, 43257, 11, 1418, 279, 2132, 961, 304, 6186, 690, 387, 389, 1268, 311, 1888, 37667, 279, 9178, 12224, 287, 627, 2028, 374, 279, 30048, 315, 100236, 81, 5281, 11, 3970, 505, 279, 33850, 1603, 279, 70151, 13, 85294, 11, 433, 753, 264, 1317, 1648, 311, 279, 1948, 422, 499, 33833, 7091, 61131, 529, 1119, 11, 719, 433, 753, 264, 1695, 3245, 279, 4827, 60108, 7091, 18813, 2653, 627, 5451, 2574, 1176, 25, 279, 2450, 4478, 13, 1442, 279, 3135, 315, 856, 1403, 23277, 527, 12401, 311, 279, 6037, 1109, 279, 4788, 11, 279, 12224, 287, 374, 18813, 9250, 389, 264, 9178, 13, 358, 59383, 4250, 29011, 13, 23150, 11, 2391, 856, 2875, 892, 7543, 520, 279, 6246, 11, 358, 617, 23926, 682, 1070, 374, 311, 636, 3770, 6690, 11233, 300, 11, 449, 279, 4788, 315, 7344, 1403, 311, 2380, 9606, 320, 1820, 32681, 61124, 1136, 323, 279, 21363, 58098, 4744, 323, 7344, 2555, 775, 358, 617, 25565, 570, 358, 649, 9093, 36015, 499, 430, 12224, 287, 279, 6246, 389, 264, 9178, 374, 11112, 5922, 433, 13, 2360, 1205, 311, 46996, 422, 264, 9178, 4034, 374, 682, 499, 649, 31335, 627, 39203, 84430, 20793, 7320, 388, 527, 24059, 279, 1455, 20697, 398, 5392, 3690, 12224, 9606, 25, 814, 527, 2697, 11, 814, 527, 44630, 11, 323, 814, 2339, 38204, 13, 7429, 11, 814, 527, 5128, 11, 4279, 11, 2187, 3345, 20414, 11, 323, 7936, 29921, 13, 2684, 374, 4400, 539, 311, 1093, 922, 1124, 627, 29132, 1071, 430, 11, 433, 374, 1633, 3062, 430, 499, 527, 10235, 96655, 369, 279, 32738, 13, 9220, 13124, 315, 20792, 5315, 21420, 279, 6246, 25, 1884, 889, 6056, 279, 30048, 323, 279, 30048, 1193, 11, 323, 1884, 889, 9395, 369, 264, 16736, 4321, 311, 279, 70151, 13, 1115, 3445, 430, 279, 33965, 690, 387, 1633, 39313, 1317, 1603, 64919, 555, 1884, 889, 527, 19946, 369, 279, 30048, 13, 763, 6841, 11, 1070, 574, 264, 6926, 4365, 315, 1274, 38464, 709, 1524, 1603, 220, 20, 264, 749, 2637, 323, 19762, 311, 4321, 1523, 279, 1853, 574, 1633, 5107, 25, 358, 1047, 311, 3868, 369, 264, 13225, 304, 279, 1584, 315, 1274, 311, 636, 3347, 15376, 5596, 315, 279, 1853, 11, 323, 1884, 33251, 1051, 2478, 323, 3117, 1990, 13, 1102, 374, 8831, 311, 37667, 264, 12185, 34353, 279, 1938, 1603, 10280, 1109, 311, 4321, 2403, 279, 4365, 315, 1274, 520, 22450, 2234, 480, 15686, 389, 264, 9178, 13, 4452, 11, 1884, 4216, 6693, 5315, 527, 10213, 30462, 323, 21737, 11, 19762, 311, 24804, 872, 11745, 323, 8333, 369, 279, 60108, 8469, 315, 1124, 13, 25929, 2391, 279, 6693, 279, 16736, 5315, 17782, 11, 1884, 889, 1193, 4321, 311, 279, 70151, 13, 4314, 5315, 690, 387, 1790, 810, 50380, 11, 3629, 14624, 311, 872, 71169, 11, 26139, 323, 48655, 311, 1855, 1023, 627, 1688, 1176, 358, 574, 2216, 84971, 555, 279, 35851, 11, 555, 872, 12248, 323, 311, 1063, 13334, 872, 39682, 287, 13, 4452, 11, 279, 2768, 10723, 15174, 9087, 19407, 304, 6975, 311, 4774, 279, 7138, 3217, 38913, 512, 16, 13, 7570, 422, 499, 1781, 279, 1274, 527, 92271, 701, 12224, 287, 1938, 11, 814, 527, 539, 13, 1472, 690, 636, 701, 20229, 323, 279, 1938, 690, 387, 6800, 627, 17, 13, 4314, 19664, 1274, 1389, 539, 279, 2478, 7362, 12224, 388, 1389, 527, 279, 1193, 2944, 499, 649, 12224, 22450, 2234, 480, 15686, 2085, 279, 6926, 5222, 315, 27271, 8805, 304, 701, 2487, 11, 477, 21420, 35006, 449, 12224, 2339, 388, 15691, 701, 2218, 9606, 704, 315, 279, 6246, 304, 81947, 13, 2893, 26259, 369, 279, 32738, 11, 499, 42210, 1124, 420, 6246, 627, 1135, 37356, 315, 9025, 2085, 264, 1912, 315, 1274, 374, 264, 11594, 892, 3235, 279, 1925, 9025, 389, 264, 9178, 13, 93921, 6629, 433, 422, 499, 649, 1389, 323, 387, 10235, 430, 499, 1253, 539, 1524, 387, 420, 18069, 90578, 3947, 374, 2555, 775, 358, 1205, 311, 6420, 922, 279, 2515, 315, 279, 6246, 753, 23354, 11, 323, 420, 374, 9193, 3062, 25, 422, 499, 12224, 22450, 2234, 480, 15686, 389, 264, 9178, 11, 656, 539, 3197, 311, 5387, 279, 6246, 323, 471, 311, 64133, 389, 7418, 13, 578, 19795, 690, 387, 779, 19857, 430, 279, 5754, 8577, 315, 1403, 4207, 690, 1935, 499, 709, 311, 220, 975, 4207, 1389, 912, 56825, 13, 1442, 701, 11277, 11141, 64133, 36113, 7418, 11714, 11, 499, 28832, 5387, 279, 6246, 3060, 389, 7884, 477, 389, 7418, 1603, 220, 21, 25, 966, 304, 279, 6693, 13, 18715, 11, 499, 2834, 1431, 1304, 433, 311, 279, 17149, 389, 892, 4999, 40, 1541, 1431, 617, 264, 6945, 315, 459, 59929, 9629, 20673, 11, 323, 88565, 499, 10932, 420, 622, 32005, 26769, 7716, 299, 660, 5929, 47797, 927, 264, 15860, 315, 9515, 13971, 627, 8538, 810, 3649, 922, 264, 12224, 287, 1938, 753, 43257, 25, 578, 6246, 374, 8036, 505, 220, 1721, 6186, 311, 220, 2148, 5587, 323, 304, 6287, 13, 2468, 356, 581, 347, 300, 11, 279, 6246, 753, 18618, 374, 1825, 220, 1187, 4207, 264, 1938, 11, 323, 499, 1253, 3810, 477, 5387, 30194, 499, 1390, 13, 1442, 499, 527, 9293, 311, 539, 733, 4726, 709, 1109, 279, 70151, 11, 499, 1253, 7782, 701, 11810, 520, 279, 5426, 6246, 753, 18618, 11, 520, 279, 2853, 315, 17715, 220, 18, 2326, 13244, 1442, 4869, 499, 527, 9293, 311, 733, 4726, 709, 11, 384, 1326, 13, 12224, 3235, 279, 3062, 14841, 505, 279, 70151, 311, 6690, 11233, 300, 499, 1205, 311, 636, 701, 11810, 520, 279, 6246, 753, 1925, 5274, 902, 3250, 1431, 1825, 3156, 220, 2589, 25, 966, 264, 749, 2637, 3339, 459, 4216, 6693, 753, 1212, 682, 719, 12266, 13, 4800, 11, 422, 682, 499, 1390, 374, 8493, 1063, 892, 1990, 279, 70151, 323, 6690, 11233, 300, 11, 912, 832, 690, 1389, 4762, 1389, 1665, 422, 499, 656, 779, 2085, 279, 463, 7067, 11810, 13, 358, 4070, 2646, 9152, 311, 4034, 279, 6246, 5274, 4245, 311, 892, 19477, 1771, 11, 2744, 4024, 311, 6690, 11233, 300, 323, 2646, 23926, 904, 27129, 13, 1115, 2816, 5825, 682, 279, 4033, 3649, 627, 2028, 8954, 1183, 9585, 1443, 41752, 1481, 12806, 1565, 11, 264, 3293, 6859, 505, 279, 1457, 47166, 42871, 24217, 64726, 291, 26313, 11, 65395, 5039, 430, 279, 64677, 529, 3611, 258, 1385, 311, 279, 348, 556, 437, 527, 2653, 311, 23973, 627, 7184, 430, 358, 4070, 15243, 922, 279, 16287, 47979, 11, 1095, 753, 636, 311, 279, 12224, 287, 13, 36539, 11, 358, 617, 912, 3445, 311, 9616, 439, 358, 4070, 24121, 12224, 291, 279, 6246, 389, 38102, 11, 719, 14132, 11, 19755, 11, 279, 1193, 1523, 25034, 315, 279, 38102, 311, 279, 90845, 2919, 374, 430, 279, 810, 84099, 20229, 11, 8104, 279, 5015, 1773, 9336, 388, 11, 690, 539, 33484, 7598, 2212, 389, 11, 477, 5425, 279, 13006, 13, 2435, 4805, 387, 264, 2478, 37356, 1828, 311, 279, 33965, 304, 29050, 54832, 13, 3234, 539, 1755, 9302, 35006, 449, 9606, 1093, 279, 1403, 289, 1466, 1481, 370, 71478, 11, 279, 1403, 2875, 86, 826, 477, 279, 96013, 42871, 24217, 1481, 616, 1142, 4366, 37977, 13, 1472, 690, 4869, 320, 77, 22928, 8, 7995, 6865, 1124, 11, 902, 12716, 757, 311, 279, 1486, 315, 420, 14646, 25, 12224, 10578, 13, 25531, 10235, 369, 279, 11936, 323, 6880, 315, 22450, 2234, 480, 15686, 753, 20229, 374, 16595, 13, 2876, 1193, 690, 499, 520, 3325, 6865, 279, 5015, 1773, 9336, 388, 11, 499, 690, 1101, 1440, 994, 311, 3009, 323, 2778, 279, 649, 76641, 369, 43258, 1778, 439, 279, 622, 32005, 3623, 971, 64, 11, 323, 11000, 1524, 810, 3062, 25, 499, 4805, 1440, 994, 539, 311, 3009, 13, 25531, 10235, 374, 539, 779, 11292, 3582, 439, 865, 12052, 1824, 13873, 706, 682, 279, 10578, 320, 35676, 1524, 12715, 2949, 279, 6246, 8, 323, 499, 649, 15376, 1523, 279, 9606, 1160, 311, 2212, 220, 966, 311, 220, 1272, 9606, 627, 791, 19149, 37179, 269, 23414, 574, 264, 9606, 358, 6724, 45536, 2391, 856, 1176, 4822, 304, 5936, 220, 679, 17, 13, 358, 1550, 539, 1193, 539, 1440, 1202, 5609, 11, 358, 1550, 539, 1440, 433, 25281, 304, 279, 1176, 2035, 13, 18242, 1023, 15606, 1126, 753, 5944, 6821, 27905, 574, 5115, 264, 10988, 11, 323, 304, 6841, 220, 679, 18, 358, 3782, 1203, 449, 264, 72788, 323, 279, 6677, 315, 1202, 6880, 11, 6522, 311, 5361, 35006, 627, 3812, 315, 961, 220, 16, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 4599, 499, 527, 53327, 264, 220, 20, 11, 220, 605, 11, 220, 868, 11, 220, 508, 11, 220, 966, 477, 220, 1272, 20085, 28550, 11, 499, 1390, 264, 2883, 499, 649, 7095, 449, 7729, 430, 1304, 499, 15648, 13, 21335, 603, 264, 1650, 3432, 323, 1518, 279, 6811, 584, 649, 1304, 304, 701, 1828, 8246, 477, 4335, 704, 2447, 627, 61346, 3041, 603, 264, 1650, 323, 584, 690, 1520, 499, 7216, 704, 701, 28550, 19160, 3966, 627, 8140, 99576, 6118, 733, 704, 1890, 11477, 477, 1828, 11477, 11911, 389, 994, 499, 1650, 627, 1687, 3493, 1948, 78611, 2532, 11, 1418, 2133, 4228, 389, 701, 5740, 1584, 13, 3639, 810, 1436, 499, 2610, 369, 5380, 8140, 16572, 20197, 527, 1618, 311, 3041, 499, 264, 5043, 323, 47947, 12862, 3217, 505, 1212, 311, 6381, 627, 12805, 499, 527, 2884, 11, 5042, 3041, 603, 264, 1650, 323, 584, 690, 636, 701, 28550, 13061, 709, 1314, 3201, 4999, 8140, 5687, 374, 1618, 311, 1520, 15716, 499, 1205, 433, 13, 29524, 3820, 709, 279, 4641, 323, 3041, 603, 264, 1650, 627, 13622, 9919, 477, 59589, 656, 539, 617, 1690, 14640, 9002, 28550, 19160, 439, 1317, 439, 499, 2567, 279, 28550, 11622, 389, 701, 1866, 3424, 2391, 279, 19160, 4261, 13, 1442, 499, 1205, 311, 2035, 701, 5593, 389, 279, 8761, 304, 904, 1648, 11, 499, 690, 4461, 617, 311, 6994, 264, 11810, 505, 279, 8475, 4857, 11810, 5274, 304, 701, 6424, 13, 1472, 649, 1817, 449, 701, 2254, 586, 4375, 9476, 311, 387, 2771, 627, 13622, 1443, 370, 6098, 64, 28550, 19160, 5220, 690, 1935, 2512, 315, 41577, 420, 11810, 369, 499, 422, 499, 8175, 505, 1124, 13, 7557, 2771, 430, 422, 499, 3207, 9293, 311, 2231, 279, 28550, 389, 279, 8761, 11, 279, 2883, 706, 1903, 279, 8475, 28904, 13, 1472, 1288, 1101, 6106, 430, 499, 636, 279, 11810, 304, 264, 32100, 11827, 323, 520, 279, 4495, 2853, 13, 1442, 499, 3463, 279, 28550, 2883, 574, 3794, 264, 11810, 323, 814, 1550, 539, 11, 499, 690, 387, 279, 832, 889, 690, 617, 311, 2343, 279, 7060, 430, 374, 11136, 555, 279, 11527, 627, 94963, 374, 2216, 264, 2326, 1614, 3967, 439, 1306, 735, 82, 15140, 13, 28621, 374, 304, 279, 6278, 315, 38379, 389, 279, 18671, 26, 25378, 922, 279, 11226, 26, 7777, 4355, 389, 279, 18561, 26, 323, 15013, 783, 389, 279, 19001, 3185, 13, 1102, 374, 19180, 1139, 220, 6550, 31276, 449, 220, 23574, 25861, 13, 578, 8244, 8752, 315, 279, 3137, 922, 374, 22126, 709, 555, 2225, 8518, 323, 33489, 3956, 627, 644, 3878, 315, 18054, 12571, 505, 701, 3838, 11, 499, 617, 264, 5743, 315, 2671, 25, 3539, 264, 30774, 99546, 2883, 477, 8530, 3469, 369, 220, 605, 39337, 44364, 304, 1443, 370, 6098, 64, 11, 11598, 13, 40730, 389, 701, 4040, 8670, 11, 3060, 3118, 304, 6721, 3600, 649, 3493, 499, 449, 279, 26964, 17065, 13291, 499, 1205, 311, 636, 701, 1866, 2162, 28822, 709, 6288, 520, 682, 0, 50820, 1022, 99576, 649, 6847, 8965, 387, 12504, 1022, 520, 520, 4661, 904, 3813, 499, 6562, 439, 1317, 439, 433, 1253, 539, 387, 14718, 51215, 311, 1023, 1274, 304, 279, 12818, 13, 1102, 374, 3062, 311, 1440, 279, 1314, 64101, 304, 5369, 311, 892, 4124, 902, 279, 28550, 690, 387, 5995, 779, 499, 649, 3371, 701, 19228, 323, 1524, 1023, 9873, 1603, 1450, 13, 358, 617, 311, 2019, 11, 6638, 1022, 99576, 7784, 956, 832, 315, 279, 1455, 8071, 34168, 3756, 779, 10923, 701, 12637, 19228, 1440, 690, 387, 1578, 13458, 750, 3062, 13, 578, 23701, 27767, 304, 902, 499, 3820, 690, 1243, 7068, 264, 892, 311, 3060, 3820, 709, 323, 1524, 8454, 279, 28550, 304, 279, 1567, 499, 1629, 704, 315, 3634, 627, 16298, 636, 9463, 315, 20181, 315, 11822, 430, 2103, 617, 5922, 13, 9176, 3115, 1274, 656, 539, 1524, 1440, 1884, 3673, 2103, 617, 5922, 13, 358, 617, 38171, 1766, 7528, 2835, 54858, 11, 23939, 11, 14048, 3673, 11, 9863, 315, 14891, 323, 3300, 13, 1102, 8741, 311, 387, 2523, 323, 1436, 387, 1093, 264, 32726, 93929, 304, 279, 12571, 13, 1102, 596, 1633, 4228, 369, 499, 311, 636, 3940, 304, 28550, 1156, 31529, 43515, 323, 499, 649, 3157, 279, 2574, 499, 1505, 311, 1304, 810, 3300, 13, 10435, 701, 22519, 3201, 369, 264, 1418, 1418, 10494, 10968, 389, 279, 3300, 499, 1436, 1304, 627, 2028, 1920, 449, 2204, 19339, 649, 387, 2204, 13, 763, 1063, 5157, 279, 5150, 92951, 3085, 499, 3196, 29618, 13, 33634, 5266, 323, 1243, 5266, 709, 279, 5150, 29618, 449, 682, 430, 499, 617, 311, 4148, 323, 994, 279, 5150, 29618, 527, 6118, 2539, 11, 17274, 315, 279, 27767, 17782, 304, 5369, 311, 1935, 279, 6392, 3201, 13, 2435, 6920, 704, 420, 4553, 1920, 439, 961, 315, 701, 9546, 13, 1115, 3460, 315, 7487, 1253, 6920, 1690, 9477, 477, 8530, 7739, 1778, 439, 279, 11302, 8205, 13, 1102, 374, 1120, 264, 8369, 323, 11919, 1648, 311, 1427, 369, 701, 14847, 477, 264, 16387, 304, 13118, 994, 814, 1390, 311, 1440, 922, 3016, 24617, 627, 10086, 264, 2883, 430, 649, 3085, 25402, 220, 605, 39337, 44364, 304, 1443, 370, 6098, 64, 11, 11598, 369, 701, 3339, 2447, 304, 2015, 311, 6288, 636, 264, 2683, 2884, 627, 56050, 2191, 11, 279, 1925, 1749, 315, 19546, 8752, 323, 374, 25051, 264, 502, 1523, 2543, 304, 279, 3293, 15082, 13, 4158, 1362, 1436, 387, 279, 1925, 2944, 449, 5363, 311, 25983, 12472, 315, 15613, 311, 92788, 323, 11857, 304, 279, 11323, 780, 4787, 11621, 311, 420, 13, 8595, 374, 279, 11841, 315, 279, 3137, 922, 16066, 6129, 6372, 315, 47810, 30, 578, 4320, 649, 387, 7000, 1023, 1109, 279, 5150, 84834, 54811, 315, 10495, 315, 279, 3137, 922, 602, 6990, 279, 13, 41086, 19679, 315, 279, 12571, 627, 2822, 5030, 1405, 499, 48383, 499, 1440, 430, 499, 617, 311, 2567, 701, 44200, 48104, 709, 311, 2457, 304, 279, 1567, 499, 1866, 682, 315, 1124, 323, 8175, 682, 315, 1124, 704, 13, 9029, 1390, 311, 3974, 304, 264, 6555, 11, 58905, 323, 6177, 44200, 627, 2170, 499, 656, 279, 2683, 11, 4205, 430, 8670, 311, 387, 7108, 649, 387, 15338, 1139, 279, 28550, 449, 5363, 311, 8175, 13, 1115, 690, 1304, 3585, 779, 1790, 8831, 13967, 13, 1472, 2834, 956, 690, 1205, 311, 636, 264, 3820, 709, 11092, 323, 1304, 1690, 23277, 311, 420, 10488, 13, 1472, 1253, 539, 617, 311, 1427, 520, 62305, 7384, 323, 5895, 1268, 499, 527, 2133, 311, 636, 1124, 704, 315, 279, 20085, 13, 3277, 499, 527, 2103, 4461, 311, 617, 311, 2804, 279, 990, 439, 1664, 439, 279, 4335, 709, 11, 420, 1253, 5353, 2574, 8831, 13, 22748, 433, 709, 311, 279, 8592, 627, 1383, 1701, 264, 12190, 28550, 477, 12190, 99576, 499, 690, 2567, 701, 10960, 7471, 3158, 12185, 29585, 1418, 499, 527, 3515, 279, 73509, 3130, 2884, 13, 1102, 690, 2567, 701, 49835, 323, 4029, 9873, 2262, 627, 2746, 499, 527, 9293, 389, 3815, 1063, 47035, 1109, 499, 3358, 1205, 311, 8175, 264, 28550, 13, 1442, 499, 8175, 1243, 264, 28550, 499, 649, 6847, 2567, 279, 86076, 3158, 12185, 29585, 13, 1472, 1541, 956, 6562, 279, 4885, 323, 19228, 42126, 304, 904, 5201, 315, 279, 1529, 8154, 21078, 2212, 539, 656, 499, 1390, 1521, 1274, 311, 1934, 499, 311, 279, 4379, 477, 1524, 701, 3158, 596, 4857, 45825, 627, 22105, 499, 527, 7999, 701, 15197, 8800, 701, 2626, 477, 2162, 13, 1472, 690, 1101, 690, 1205, 311, 8175, 264, 28550, 311, 10519, 701, 50555, 4401, 389, 892, 323, 1101, 39511, 13, 1472, 1253, 1455, 4461, 1120, 617, 311, 8175, 264, 2678, 28550, 449, 420, 2447, 2533, 433, 690, 3412, 40872, 311, 1403, 11510, 627, 7927, 1176, 3094, 4871, 35821, 264, 12818, 20085, 6412, 649, 387, 311, 636, 701, 4885, 323, 19228, 3871, 323, 1101, 7216, 704, 279, 13363, 13, 86023, 16470, 311, 264, 6574, 311, 3137, 922, 279, 4623, 311, 1304, 6261, 2561, 311, 279, 84116, 1732, 889, 3966, 311, 5249, 304, 8051, 706, 9141, 6725, 922, 279, 3814, 315, 420, 6574, 13, 1442, 499, 2351, 682, 3871, 11, 3137, 922, 279, 43257, 315, 433, 11, 7216, 704, 1268, 499, 3358, 586, 1082, 11, 323, 1304, 264, 52880, 11071, 449, 5363, 311, 8689, 5343, 13, 66379, 3445, 311, 9539, 1906, 24435, 15316, 779, 430, 2536, 29137, 8608, 1113, 15316, 2834, 956, 10160, 709, 68610, 520, 279, 892, 315, 279, 6412, 1903, 13, 17830, 11, 28902, 264, 2457, 323, 56445, 13172, 279, 1162, 1418, 499, 45063, 2574, 311, 3085, 627, 2685, 5859, 8645, 315, 44364, 25, 52783, 28550, 4131, 304, 4330, 21483, 48850, 220, 605, 41999, 20085, 11, 220, 845, 41999, 20085, 11, 25681, 1093, 220, 508, 41999, 20085, 11, 220, 966, 41999, 20085, 323, 1101, 220, 1272, 41999, 3424, 13, 1102, 374, 1027, 13468, 902, 20426, 220, 605, 11, 25681, 1093, 220, 508, 11, 220, 966, 11, 86043, 41999, 20085, 28550, 11, 220, 845, 41999, 20085, 28550, 1935, 892, 323, 5149, 311, 1505, 627, 10156, 1063, 315, 279, 30255, 902, 701, 6917, 17348, 1022, 220, 605, 39337, 44364, 304, 1443, 370, 6098, 64, 649, 387, 1511, 369, 11, 527, 5942, 3158, 315, 17614, 323, 14509, 7108, 505, 41626, 41582, 11, 264, 2035, 311, 2231, 13077, 7108, 505, 264, 40511, 38097, 3158, 311, 1304, 264, 6220, 323, 5222, 10353, 11, 3424, 81382, 3838, 30774, 323, 14891, 17065, 11, 323, 3230, 34978, 315, 459, 4857, 596, 3917, 5030, 439, 814, 527, 4529, 3201, 13, 4718, 28550, 374, 3629, 264, 6917, 304, 279, 4857, 30633, 11, 719, 433, 596, 539, 520, 682, 264, 36413, 294, 13, 3296, 3794, 459, 16430, 315, 3430, 505, 264, 2626, 889, 8964, 682, 279, 1888, 17348, 1022, 220, 605, 39337, 44364, 304, 1443, 370, 6098, 64, 11351, 304, 701, 3158, 11, 499, 690, 3665, 3300, 304, 701, 6020, 8199, 323, 499, 649, 1243, 1005, 902, 5066, 369, 832, 810, 7580, 627, 33, 88232, 617, 12742, 5718, 323, 14640, 449, 24886, 311, 23701, 30686, 11092, 13, 1472, 1053, 690, 1205, 311, 1650, 701, 88275, 311, 1505, 704, 1268, 12387, 18381, 9002, 23701, 649, 387, 9277, 704, 264, 2046, 323, 902, 304, 2543, 3673, 1288, 387, 47658, 13, 1472, 3358, 387, 3025, 311, 6724, 52144, 420, 3094, 555, 53327, 264, 8246, 28550, 627, 15346, 499, 617, 264, 3682, 31265, 6133, 349, 477, 1323, 347, 6427, 2447, 11, 42990, 832, 3544, 28550, 3445, 499, 1120, 617, 832, 5528, 315, 18054, 279, 8330, 8363, 13, 61328, 922, 12387, 23277, 311, 279, 85634, 323, 279, 12718, 814, 7631, 13, 12522, 264, 220, 605, 39337, 44364, 304, 1443, 370, 6098, 64, 11, 11598, 7626, 6068, 1022, 279, 28550, 304, 701, 19833, 323, 2865, 433, 709, 13, 1472, 3665, 11441, 555, 14713, 1203, 389, 6962, 11, 26225, 23277, 311, 279, 10488, 11, 323, 63082, 449, 279, 3769, 13, 12623, 814, 690, 5268, 323, 28490, 315, 701, 16174, 369, 499, 13, 578, 1828, 13402, 499, 617, 264, 1323, 347, 6427, 2447, 11, 1304, 3738, 311, 1650, 279, 220, 605, 39337, 44364, 304, 1443, 370, 6098, 64, 11, 11598, 2883, 311, 2567, 701, 8330, 8363, 311, 264, 8187, 627, 2028, 3169, 315, 23701, 706, 311, 733, 369, 66583, 36654, 902, 3629, 6062, 690, 7995, 2231, 499, 311, 264, 2763, 315, 5435, 13, 578, 23701, 77431, 709, 927, 1521, 26350, 649, 387, 2216, 78921, 304, 279, 8545, 323, 5107, 311, 37586, 449, 13, 81410, 35557, 315, 1521, 2466, 20181, 315, 12571, 539, 1193, 52944, 499, 389, 279, 6220, 3941, 505, 279, 4459, 23701, 19679, 5435, 323, 1101, 11705, 264, 2035, 311, 3094, 79287, 311, 49655, 279, 5410, 2361, 627, 95294, 11, 6638, 1022, 315, 99576, 527, 82280, 704, 304, 1584, 449, 279, 3392, 315, 12571, 814, 649, 6920, 304, 3878, 315, 5419, 41999, 14006, 11, 719, 44922, 6956, 690, 1304, 279, 28550, 5662, 279, 68215, 1317, 1603, 433, 2643, 387, 6724, 1589, 25831, 13, 578, 5150, 1396, 315, 4785, 430, 649, 387, 2231, 1139, 279, 5593, 14117, 389, 279, 1404, 315, 279, 9736, 6532, 11, 779, 24923, 374, 459, 2231, 3871, 315, 279, 5912, 6638, 1022, 315, 5593, 19160, 15696, 11, 3235, 449, 872, 8592, 4785, 90120, 627, 2520, 701, 49071, 323, 6220, 12659, 11, 1505, 264, 62024, 17065, 7626, 449, 77124, 323, 17274, 430, 527, 53142, 323, 16383, 13, 34663, 430, 279, 38968, 261, 374, 53142, 323, 16383, 13, 578, 38968, 261, 2011, 387, 7373, 2682, 555, 990, 1543, 596, 20448, 11, 5410, 24305, 11, 304, 5369, 311, 3313, 8276, 627, 71903, 11 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2746, 499, 617, 264, 3488, 430, 596, 539, 20669, 1618, 11, 4587, 3729, 1057, 3016, 1862, 24005, 555, 8260, 220, 16, 13, 24344, 13, 19808, 13, 10617, 15, 477, 3708, 459, 2613, 311, 49293, 73737, 36587, 2726, 13, 5751, 24005, 527, 2561, 505, 220, 21, 309, 311, 220, 20, 5298, 19932, 320, 24, 309, 311, 220, 23, 5298, 18241, 4390, 2181, 596, 459, 2930, 26012, 2532, 311, 1520, 499, 5662, 701, 6020, 9021, 13, 1102, 596, 4382, 323, 4228, 311, 1005, 11, 779, 499, 1541, 956, 1205, 311, 8493, 264, 2763, 315, 892, 3339, 11429, 922, 701, 22538, 13, 1556, 21416, 48964, 9248, 499, 449, 264, 7941, 11, 1664, 33885, 388, 1908, 20136, 6319, 2212, 701, 9021, 13, 4718, 22538, 527, 31978, 41223, 11, 323, 422, 3157, 8603, 6541, 701, 9513, 24691, 11, 701, 20136, 374, 9651, 12646, 278, 4979, 779, 433, 2744, 27656, 27210, 449, 701, 2218, 6651, 627, 20397, 279, 4751, 364, 299, 754, 26831, 1805, 518, 584, 2351, 3604, 1972, 1274, 25, 264, 2128, 315, 10534, 20136, 20258, 11, 9879, 24005, 11, 323, 5557, 35416, 13, 1226, 16343, 279, 5652, 5557, 449, 26012, 19248, 311, 1520, 499, 1893, 264, 2731, 6020, 3938, 627, 34126, 1687, 1902, 374, 264, 6696, 836, 315, 94479, 1229, 37171, 46272, 4953, 2637, 902, 374, 264, 13096, 315, 362, 73549, 60841, 627, 32, 73549, 60841, 374, 264, 5426, 11, 18751, 6020, 3600, 2883, 13, 1226, 8854, 279, 12205, 6373, 3966, 315, 21907, 682, 315, 7008, 596, 6807, 29590, 11, 439, 1664, 439, 264, 2134, 315, 9678, 6020, 11351, 11, 3235, 449, 3927, 15167, 627, 8140, 19248, 304, 2930, 26012, 323, 6020, 5557, 4131, 505, 1057, 2930, 75955, 2532, 11, 1229, 37171, 76812, 11, 902, 706, 21356, 1027, 21682, 4315, 7008, 596, 1948, 2930, 46436, 369, 927, 264, 13515, 13, 5751, 19248, 304, 20136, 2955, 4131, 505, 1057, 9341, 6373, 7471, 11, 8014, 40, 77990, 11, 264, 12152, 7808, 304, 68728, 77990, 627, 32, 73549, 374, 13234, 555, 279, 36031, 6807, 11552, 5838, 81, 1147, 11, 356, 2864, 1669, 323, 3959, 73, 569, 1354, 627, 34126, 1687, 1902, 374, 961, 315, 94479, 1229, 37171, 46272, 4953, 2637, 902, 374, 1405, 701, 3300, 374, 5762, 13, 94479, 1229, 37171, 46272, 4953, 13, 374, 264, 12308, 315, 279, 12152, 76812, 19721, 13492, 11, 902, 36236, 15167, 505, 18151, 1288, 872, 75955, 3719, 85943, 688, 627, 2170, 264, 21382, 1687, 1902, 3016, 11, 701, 3300, 374, 304, 1695, 6206, 13, 21382, 1687, 1902, 374, 961, 315, 362, 73549, 60841, 11, 264, 5426, 11, 18751, 6020, 3600, 2883, 449, 11026, 315, 3217, 11, 902, 374, 264, 22542, 8427, 311, 11758, 315, 6807, 29590, 323, 9678, 6020, 14673, 4028, 7008, 627, 32, 73549, 60841, 374, 13234, 555, 279, 36031, 6807, 11552, 5838, 81, 1147, 11, 356, 2864, 1669, 323, 3959, 73, 569, 1354, 627, 34126, 1687, 1902, 9815, 527, 2682, 555, 279, 12152, 76812, 19721, 13492, 13, 578, 356, 3378, 37, 36236, 12032, 323, 8515, 499, 617, 29091, 709, 311, 400, 16, 3610, 304, 1162, 315, 279, 36707, 315, 264, 4562, 7626, 627, 34126, 1687, 1902, 374, 961, 315, 94479, 1229, 37171, 46272, 4953, 2637, 902, 374, 264, 12308, 315, 279, 33350, 24780, 69822, 21021, 315, 7008, 320, 5660, 74745, 570, 763, 7008, 11, 19812, 315, 279, 34919, 5064, 374, 11953, 704, 555, 36031, 34919, 54764, 323, 659, 33263, 38220, 11351, 320, 50, 1308, 82, 705, 902, 5764, 8105, 74745, 13, 8105, 74745, 37577, 3016, 21859, 323, 57315, 13146, 311, 463, 64119, 10765, 24084, 23331, 4819, 520, 12308, 19339, 13, 3277, 499, 1825, 459, 2759, 11, 21382, 1687, 1902, 690, 3493, 499, 449, 264, 3048, 315, 279, 8105, 74745, 2967, 331, 1439, 1054, 4438, 8105, 74745, 34763, 82, 70633, 863, 323, 1054, 2127, 76812, 596, 13002, 311, 25274, 264, 68538, 49216, 32, 3254, 3428, 6373, 11307, 690, 387, 14890, 505, 701, 2759, 51534, 430, 14861, 6721, 20136, 6373, 11, 38189, 323, 12646, 278, 9151, 11, 11380, 12718, 323, 2759, 13122, 439, 1664, 439, 1862, 505, 264, 2128, 315, 21382, 1687, 1902, 24005, 627, 791, 6373, 11307, 374, 16997, 389, 279, 5578, 7446, 907, 315, 701, 20136, 2391, 279, 8502, 520, 264, 55645, 9974, 4478, 3196, 389, 279, 64271, 743, 704, 304, 279, 2007, 3770, 627, 91, 67775, 907, 8651, 81596, 4478, 7511, 91, 5451, 400, 17, 11, 931, 311, 400, 1041, 11, 931, 8651, 15, 13, 1399, 4, 7511, 91, 59907, 400, 16, 3610, 8651, 15, 13, 1758, 4, 7511, 2746, 499, 1051, 11784, 311, 21382, 1687, 1902, 1555, 459, 9341, 37713, 11, 701, 6373, 11307, 1253, 387, 5190, 4245, 311, 5217, 3600, 9076, 555, 701, 22797, 37713, 13, 5321, 8464, 311, 701, 33350, 9878, 369, 3649, 627, 1271, 1520, 30437, 701, 12718, 11, 422, 499, 617, 5361, 21382, 1687, 1902, 9815, 304, 701, 836, 477, 14048, 11, 279, 6373, 11307, 369, 1855, 2759, 690, 387, 16997, 3196, 389, 279, 71922, 907, 315, 682, 279, 9815, 627, 11663, 12718, 1253, 3881, 369, 2759, 8735, 7540, 627, 2170, 449, 682, 54163, 82, 323, 27848, 10736, 11, 279, 22538, 304, 701, 20136, 617, 23711, 9744, 68631, 41677, 3614, 320, 45368, 705, 902, 527, 11684, 555, 279, 3887, 2883, 311, 10299, 1521, 16940, 22538, 13, 578, 73473, 82, 315, 279, 3956, 584, 1005, 304, 1057, 76808, 527, 12309, 3428, 11, 323, 527, 279, 1890, 477, 2753, 1109, 1148, 499, 1053, 2343, 422, 499, 15075, 1124, 389, 701, 1866, 627, 34126, 1687, 1902, 690, 9651, 1912, 3871, 682, 9815, 449, 279, 1890, 20658, 2686, 311, 24069, 279, 907, 315, 279, 12032, 11, 23391, 499, 2343, 279, 15821, 2561, 11307, 627, 23030, 12718, 11684, 1253, 387, 3827, 78912, 369, 2536, 12, 36009, 9815, 13, 320, 5618, 8666, 701, 3827, 6721, 369, 9650, 3230, 311, 499, 29275, 3947, 374, 912, 8187, 3392, 311, 1825, 264, 21382, 1687, 1902, 2759, 13, 9843, 701, 8515, 8335, 25501, 264, 8187, 315, 400, 17, 11, 931, 11, 433, 374, 9651, 29091, 304, 279, 20136, 430, 374, 32599, 311, 701, 3966, 627, 33408, 3300, 311, 701, 2759, 374, 4228, 13, 1472, 649, 1005, 35269, 61288, 24078, 477, 4121, 8323, 505, 701, 6020, 15244, 13, 1472, 649, 1101, 8481, 304, 8515, 505, 2500, 9341, 2759, 13, 1628, 11, 499, 649, 743, 709, 17392, 15438, 19564, 311, 6106, 499, 3665, 323, 2793, 15870, 627, 48541, 3779, 311, 701, 2759, 374, 29091, 304, 701, 20136, 994, 279, 8515, 8335, 25501, 400, 17, 11, 931, 627, 24798, 19224, 1183, 14589, 61288, 320, 43339, 82, 8, 323, 75142, 13492, 3956, 11, 21382, 1687, 1902, 2793, 82, 304, 11758, 315, 5220, 15603, 13, 578, 22538, 304, 1057, 76808, 2997, 264, 6651, 315, 4395, 505, 2678, 12152, 5220, 311, 2466, 16097, 430, 5127, 8964, 13, 5751, 76808, 527, 85957, 4028, 3980, 67245, 11, 19647, 323, 26593, 11, 779, 814, 527, 2744, 1664, 24770, 627, 1079, 43419, 93696, 320, 4403, 8, 374, 264, 8446, 430, 52924, 459, 6492, 315, 264, 2883, 753, 12434, 11, 3674, 323, 35186, 5536, 1139, 279, 9341, 5597, 28846, 1920, 13, 3296, 16785, 8776, 323, 469, 7939, 6492, 11, 20136, 20258, 527, 3025, 311, 3373, 22538, 430, 3493, 22556, 907, 323, 11293, 5326, 13, 2052, 1418, 12899, 5220, 430, 527, 57323, 27210, 449, 872, 15167, 627, 1600, 38, 19813, 311, 459, 7471, 753, 25027, 11, 9983, 323, 36565, 81689, 5178, 13, 2650, 264, 2883, 27772, 304, 1521, 5789, 3629, 706, 264, 2167, 2723, 311, 1268, 433, 27772, 369, 1202, 15167, 13, 3296, 42118, 1148, 12434, 11, 3674, 477, 35186, 15635, 264, 2883, 12580, 11, 3887, 20258, 649, 16988, 449, 5220, 311, 1520, 1124, 5766, 34348, 21294, 11, 477, 814, 649, 5766, 26012, 304, 1124, 31155, 627, 34126, 1687, 1902, 5829, 54163, 82, 311, 2793, 4028, 279, 3157, 11, 4857, 85957, 76808, 430, 2997, 264, 7029, 8205, 315, 11351, 13, 21382, 1687, 1902, 48597, 2793, 82, 449, 20136, 20258, 430, 24564, 1268, 5220, 2804, 389, 469, 7939, 13186, 311, 1893, 17226, 11, 8647, 76808, 627, 34126, 1687, 1902, 8717, 449, 1202, 13219, 2883, 8014, 40, 77990, 11, 311, 1893, 1057, 76808, 13, 1226, 3085, 279, 1890, 4382, 6373, 11307, 6070, 369, 2225, 8776, 323, 48597, 26012, 2671, 11, 4869, 499, 690, 5406, 12062, 304, 279, 16940, 73473, 12718, 13, 46560, 26012, 51242, 3428, 41238, 54163, 82, 11, 902, 3839, 1963, 5178, 323, 1397, 1633, 2697, 6373, 477, 38189, 13, 1115, 13912, 279, 6373, 12718, 323, 10565, 7194, 1633, 3428, 13, 48597, 76808, 1397, 810, 4642, 6373, 11, 2225, 304, 709, 4156, 3495, 323, 304, 14529, 13709, 11, 779, 872, 12718, 8541, 311, 387, 5190, 13, 763, 3060, 1162, 11, 1057, 15664, 449, 8014, 40, 6276, 603, 311, 3085, 76808, 449, 1633, 3428, 73473, 12718, 11, 902, 527, 11383, 1193, 2561, 311, 1579, 4272, 5922, 15167, 627, 17015, 24691, 19813, 311, 279, 3230, 21801, 315, 2204, 4595, 315, 22538, 304, 701, 20136, 11, 1778, 439, 23301, 11, 27460, 323, 8515, 24198, 13, 93696, 2450, 14090, 14117, 389, 9513, 24691, 323, 21797, 2461, 11, 902, 5764, 10168, 264, 6651, 315, 12032, 505, 2204, 19647, 323, 7100, 13918, 13, 9393, 22538, 2949, 1521, 19647, 323, 13918, 656, 539, 3351, 304, 5409, 3094, 11, 35271, 1124, 304, 76808, 649, 1520, 3493, 14675, 311, 36941, 11, 1418, 33994, 53838, 323, 52497, 14675, 627, 1959, 892, 11, 701, 19564, 477, 86304, 11, 3235, 449, 279, 33834, 323, 40291, 315, 279, 3157, 11, 649, 5353, 279, 9513, 24691, 304, 701, 20136, 311, 62490, 505, 1202, 4113, 2218, 13, 1442, 433, 610, 954, 2288, 3117, 11, 433, 1253, 912, 5129, 8881, 701, 9021, 477, 701, 4443, 25065, 369, 5326, 13, 1050, 13616, 9151, 3445, 48582, 12096, 323, 5255, 11486, 58348, 311, 15301, 279, 2218, 9513, 24691, 13, 21382, 1687, 1902, 31978, 8544, 701, 20136, 323, 9651, 12646, 278, 3095, 904, 9513, 6989, 430, 34738, 7953, 872, 32031, 57240, 627, 1687, 15253, 499, 311, 2713, 603, 422, 11, 520, 904, 1486, 11, 701, 6020, 13463, 11, 9341, 26470, 477, 701, 4443, 5326, 25065, 2349, 13, 1226, 3358, 3477, 701, 502, 5643, 323, 11, 422, 8475, 11, 30714, 34074, 13, 9843, 499, 7838, 279, 502, 14050, 11, 584, 3358, 1972, 23207, 701, 20136, 311, 5052, 701, 502, 5643, 627, 7927, 20136, 5178, 374, 6982, 389, 279, 2162, 2199, 28065, 994, 499, 1515, 304, 323, 505, 1070, 499, 649, 6847, 1518, 701, 2759, 5178, 323, 5820, 627, 791, 31373, 499, 1212, 26012, 11, 279, 31373, 499, 649, 5662, 701, 9021, 11, 779, 584, 4070, 1903, 433, 4228, 311, 636, 3940, 13, 1472, 649, 1825, 323, 3887, 701, 21382, 1687, 1902, 2759, 6724, 2930, 11, 323, 3240, 14324, 3432, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 70553, 279, 8706, 13168, 1990, 8681, 13527, 1457, 323, 8681, 13527, 520, 279, 2543, 315, 279, 62520, 9478, 374, 832, 315, 19451, 13, 5751, 3224, 1243, 574, 279, 25462, 1917, 2307, 13477, 449, 459, 32447, 56886, 279, 24867, 13, 4314, 2919, 584, 4070, 1027, 66731, 311, 3719, 21050, 1705, 369, 1057, 46763, 5627, 13, 2030, 1475, 7829, 6957, 3925, 79101, 369, 1202, 20237, 389, 6696, 449, 36956, 627, 29831, 3946, 1051, 3549, 369, 8518, 10096, 13, 1789, 3187, 11, 279, 8013, 6460, 6890, 8351, 574, 9749, 555, 13076, 1705, 323, 41645, 4918, 304, 7295, 311, 33294, 5070, 304, 13936, 13, 2435, 1051, 3984, 449, 264, 35381, 311, 2633, 279, 39543, 814, 9749, 11, 449, 8013, 6411, 1862, 13, 1115, 6725, 8272, 264, 5497, 9749, 555, 1023, 7665, 13736, 1778, 439, 18157, 4696, 4636, 15506, 80051, 574, 11953, 704, 19073, 304, 279, 836, 315, 279, 8993, 13, 4452, 11, 279, 88802, 287, 315, 279, 12032, 315, 9191, 8431, 56276, 574, 520, 279, 4851, 315, 27501, 25, 433, 574, 459, 11646, 26255, 323, 2085, 279, 13654, 315, 59949, 311, 1935, 1203, 2162, 433, 1053, 387, 2653, 311, 3887, 17876, 23933, 1154, 627, 2173, 3388, 11, 44592, 304, 1917, 6696, 58245, 71654, 13, 36565, 5220, 617, 2697, 36210, 311, 1520, 6444, 11, 1193, 311, 1893, 75253, 552, 323, 1304, 810, 3300, 13, 578, 19722, 3691, 25341, 527, 264, 11670, 3187, 315, 1057, 1510, 4325, 11, 6968, 31665, 902, 527, 15453, 31785, 311, 76056, 11, 902, 389, 279, 3663, 315, 433, 5084, 76824, 11, 719, 902, 1253, 1193, 3596, 387, 15075, 505, 1884, 1890, 5220, 11, 311, 1893, 264, 24999, 902, 649, 1193, 304, 279, 1317, 4751, 387, 24629, 311, 279, 2883, 539, 279, 37500, 627, 50083, 2740, 11, 433, 574, 17047, 5694, 430, 18306, 279, 3560, 315, 279, 27767, 13, 578, 12205, 315, 7665, 5961, 3782, 505, 279, 13465, 6696, 11, 369, 3187, 13, 3277, 13465, 574, 1176, 25973, 1139, 13527, 11, 1070, 574, 2294, 13957, 505, 279, 7187, 13, 34484, 574, 264, 50056, 3691, 520, 279, 892, 11, 8405, 26677, 369, 279, 32738, 13, 2030, 89735, 586, 598, 1053, 1005, 13465, 311, 1304, 13179, 10819, 13, 2100, 994, 264, 38838, 11713, 264, 46746, 520, 813, 2254, 6814, 568, 1053, 5019, 264, 6205, 315, 433, 8800, 279, 23162, 13731, 323, 2503, 389, 433, 13, 1442, 433, 16075, 311, 813, 18012, 68399, 8696, 11, 568, 7020, 433, 574, 1903, 1701, 13465, 1389, 779, 279, 586, 276, 1053, 30418, 505, 4920, 279, 3703, 323, 9277, 304, 279, 23301, 439, 264, 10163, 311, 1023, 653, 26121, 455, 13850, 586, 598, 13, 3161, 279, 3109, 11486, 13465, 311, 636, 9257, 389, 459, 57407, 38983, 11, 433, 753, 912, 5895, 430, 5567, 2439, 617, 2744, 1027, 1633, 77086, 1285, 315, 872, 3109, 323, 19287, 4696, 300, 1664, 439, 279, 3691, 5064, 627, 791, 13166, 75253, 552, 1457, 617, 912, 24743, 26, 814, 3780, 709, 5220, 304, 1475, 3224, 311, 3719, 7447, 5392, 367, 1147, 13, 2435, 527, 279, 502, 18217, 336, 19505, 14639, 2100, 374, 433, 1457, 892, 311, 27830, 430, 11639, 994, 8681, 13527, 6197, 279, 1917, 304, 28229, 11, 19297, 323, 15009, 5380, 17673, 13165, 13299, 946, 19333, 964, 16849, 17329, 1932, 793, 198, 1688, 279, 1212, 315, 279, 4208, 11, 13527, 1047, 7543, 279, 3300, 430, 814, 1550, 617, 304, 4725, 14507, 369, 3769, 1234, 279, 3451, 2078, 23139, 9976, 7813, 11687, 529, 13155, 13, 426, 4522, 3268, 1051, 1101, 31207, 369, 7241, 384, 1326, 13, 279, 3451, 14579, 388, 369, 426, 2315, 23314, 14639, 2030, 11, 555, 220, 6393, 16, 11, 13527, 574, 304, 264, 17936, 6020, 1614, 323, 3451, 43, 408, 47268, 521, 529, 574, 11784, 627, 35353, 33776, 315, 11822, 1051, 304, 13527, 477, 304, 25032, 994, 6652, 15187, 323, 51709, 32372, 445, 408, 47268, 521, 389, 220, 1682, 6287, 220, 6393, 20, 13, 578, 8013, 8752, 1047, 1027, 17345, 59547, 7119, 4208, 5788, 320, 20019, 220, 2131, 4, 30830, 8, 323, 1047, 48863, 11293, 1202, 13086, 13, 578, 6560, 9093, 41013, 389, 445, 408, 47268, 521, 15557, 311, 6994, 7718, 11761, 51967, 1778, 439, 3691, 1418, 433, 1436, 912, 5129, 10150, 311, 2343, 369, 1521, 3673, 1701, 7637, 22613, 627, 791, 842, 315, 39580, 12, 1655, 8617, 3782, 439, 264, 2294, 7100, 10988, 13, 13527, 4460, 311, 14389, 1063, 315, 420, 7241, 304, 279, 14247, 1772, 4208, 4261, 13, 1666, 264, 1121, 279, 60259, 24145, 36181, 3782, 922, 13, 445, 408, 12, 1655, 3673, 35363, 1051, 6216, 311, 13527, 520, 279, 14459, 2996, 3430, 315, 922, 220, 605, 31291, 389, 279, 18160, 7231, 459, 2926, 907, 315, 7083, 16, 11, 22679, 3610, 627, 13379, 3297, 98032, 82603, 574, 3288, 555, 279, 3723, 15422, 311, 279, 3723, 4273, 323, 7008, 311, 6994, 810, 10736, 13, 8013, 19287, 3685, 430, 304, 1684, 315, 279, 3723, 15422, 753, 19035, 311, 279, 4208, 5149, 11, 5423, 369, 279, 6439, 5675, 1603, 279, 3723, 4273, 10862, 279, 4465, 304, 220, 6393, 16, 11, 5270, 1053, 3085, 37849, 3878, 13, 12361, 315, 264, 13500, 477, 264, 8352, 11, 4869, 11, 82603, 574, 9076, 264, 11941, 389, 82285, 3878, 627, 50083, 1122, 26349, 4923, 291, 706, 29786, 430, 25, 3451, 791, 549, 815, 13, 3287, 1431, 2873, 311, 13383, 430, 13527, 574, 29320, 529, 323, 430, 279, 11941, 574, 71617, 304, 279, 4783, 315, 57148, 11, 719, 304, 279, 842, 279, 3224, 1047, 912, 5873, 13, 5270, 9076, 400, 2078, 220, 18, 13, 2075, 11328, 320, 2078, 3, 2131, 7239, 304, 220, 679, 18, 8, 323, 7008, 20162, 2500, 2326, 3, 16, 13, 777, 41697, 320, 2078, 3, 868, 7239, 304, 220, 679, 18, 705, 2225, 520, 279, 4478, 315, 220, 17, 4, 9974, 2802, 13, 3161, 279, 2802, 4619, 315, 12798, 279, 4113, 11941, 3392, 279, 3723, 15422, 9670, 709, 12798, 264, 2860, 315, 400, 22, 13, 20, 11328, 54915, 18, 13, 23, 11328, 8, 311, 279, 2326, 323, 2326, 3, 17, 41697, 54915, 16, 11328, 8, 311, 7008, 627, 791, 11941, 574, 1903, 3917, 311, 4787, 11, 279, 1455, 34446, 315, 902, 574, 279, 5625, 3225, 315, 73037, 13, 18056, 539, 279, 14944, 11, 279, 2515, 315, 5625, 3225, 574, 311, 47293, 268, 8013, 1772, 48260, 7100, 5435, 13, 7327, 73037, 39954, 6244, 68713, 832, 1060, 1306, 279, 11941, 574, 97665, 11, 389, 220, 868, 5887, 220, 6393, 22, 13, 25218, 264, 2305, 11, 17089, 449, 73037, 39954, 1047, 15107, 4661, 264, 7239, 11441, 505, 8013, 18160, 30600, 11, 25957, 279, 8013, 3109, 311, 27343, 5625, 3225, 323, 311, 3240, 14247, 60883, 15455, 304, 13018, 323, 25355, 45426, 13, 578, 11295, 4814, 315, 18160, 30600, 1101, 27463, 279, 23948, 315, 73037, 11, 902, 574, 77903, 409, 838, 3340, 304, 220, 6393, 24, 505, 400, 19, 13, 2437, 311, 400, 17, 13, 1490, 627, 10343, 5111, 8105, 5614, 8013, 8396, 304, 1690, 5627, 13, 5629, 11, 8681, 13527, 574, 29320, 291, 555, 279, 4208, 13, 578, 60259, 24145, 36181, 23314, 574, 51578, 555, 3842, 3297, 98032, 82603, 505, 279, 3723, 4273, 323, 7008, 389, 17981, 315, 279, 3723, 15422, 11, 389, 220, 868, 339, 5887, 220, 6393, 21, 13, 320, 2181, 574, 9778, 23183, 389, 220, 1682, 339, 6790, 220, 1049, 21, 4390, 11458, 11, 8994, 279, 60259, 24145, 36181, 323, 23383, 315, 264, 4948, 810, 30508, 38505, 1109, 4410, 10057, 1306, 29144, 17, 1746, 17, 13, 22, 7239, 348, 400, 16, 13, 22, 7239, 705, 1772, 11710, 8013, 17047, 14896, 539, 311, 1304, 13076, 6617, 8082, 1202, 8792, 7057, 13, 12361, 11, 433, 574, 6773, 555, 2225, 18993, 323, 30071, 19287, 311, 1005, 279, 3300, 311, 10519, 8681, 13527, 753, 3560, 439, 264, 1917, 2410, 323, 72759, 13, 2030, 433, 574, 12266, 369, 279, 3224, 311, 471, 311, 1202, 864, 48260, 21080, 2919, 13, 6890, 753, 24589, 574, 8272, 11, 304, 4245, 3388, 11, 555, 1023, 49028, 11, 902, 77903, 6197, 311, 279, 16287, 9886, 315, 279, 38298, 304, 220, 6393, 24, 627, 52961, 6164, 1047, 1101, 19487, 1202, 3318, 7187, 810, 6273, 6514, 439, 264, 11565, 369, 11039, 279, 49533, 13, 578, 9886, 315, 279, 66187, 3314, 574, 10536, 19471, 291, 555, 279, 220, 6393, 17, 39099, 6614, 8423, 13, 31158, 46215, 12656, 39099, 6614, 11349, 311, 279, 3109, 430, 814, 1288, 1505, 5627, 315, 57911, 279, 4330, 46309, 11, 1694, 24133, 11, 31974, 11, 34881, 269, 685, 11, 328, 1788, 269, 323, 5336, 77319, 13, 1283, 18784, 311, 27208, 1521, 5435, 11, 279, 3109, 1288, 3493, 26613, 8070, 311, 1274, 11, 26613, 2890, 2512, 11, 26613, 6873, 11, 26613, 11983, 323, 26613, 14740, 13, 1102, 11223, 430, 3451, 2460, 1274, 315, 3318, 4325, 1288, 2343, 264, 17496, 5165, 22413, 19035, 13, 763, 471, 11, 7720, 1053, 387, 7318, 311, 1274, 889, 1051, 14363, 11, 49989, 11, 22311, 477, 9923, 13111, 14639, 198, 10438, 220, 7285, 24, 11, 1455, 2890, 2512, 1047, 311, 387, 7318, 369, 1555, 2536, 3109, 29533, 1389, 1555, 264, 13057, 4009, 315, 11919, 34775, 11, 6696, 29590, 323, 1023, 8276, 5220, 902, 31094, 279, 13057, 8857, 315, 279, 6560, 3318, 7187, 439, 3697, 13, 4314, 11919, 34775, 3984, 8276, 369, 54950, 11, 26690, 323, 8482, 488, 11, 9093, 8405, 1274, 449, 459, 8070, 994, 814, 1051, 12153, 311, 990, 13, 23548, 279, 8292, 315, 39099, 6614, 753, 19075, 11, 14673, 1629, 555, 2254, 61783, 311, 3493, 2890, 3600, 369, 279, 82707, 8009, 11, 961, 315, 279, 8009, 2383, 14135, 315, 990, 37841, 11, 1051, 27092, 1139, 279, 502, 5426, 1887, 13, 1666, 961, 315, 279, 31343, 11, 279, 9441, 315, 9635, 1101, 8036, 1523, 1202, 37079, 16337, 14488, 323, 5946, 279, 15637, 315, 9214, 315, 8993, 8853, 11, 24461, 323, 1023, 13162, 311, 279, 1614, 627, 791, 1772, 11710, 1667, 369, 19664, 8013, 10495, 1051, 539, 4228, 13, 432, 367, 287, 1047, 1027, 11784, 304, 220, 7285, 24, 520, 31188, 315, 4208, 11, 323, 8738, 1139, 279, 5209, 2269, 2130, 552, 11, 8051, 439, 1790, 66901, 287, 439, 3284, 574, 9670, 555, 16657, 21393, 753, 22760, 367, 304, 220, 6280, 18, 13, 2030, 11, 8994, 66901, 287, 11, 1070, 574, 2294, 54508, 11, 323, 5127, 296, 40458, 304, 13, 578, 2574, 430, 11754, 19664, 1274, 1051, 3674, 13, 3092, 6691, 7633, 279, 12939, 315, 11401, 311, 3995, 3278, 1306, 29144, 17, 11, 8104, 279, 3451, 3648, 9372, 529, 902, 574, 279, 1176, 4526, 315, 279, 4783, 315, 423, 2521, 11, 11887, 389, 220, 717, 339, 7552, 11, 220, 6393, 22, 627, 59552, 4731, 574, 1101, 3062, 311, 19664, 15687, 13, 13538, 279, 4208, 11, 18588, 13792, 1047, 1047, 459, 31160, 380, 5603, 311, 5526, 4731, 13, 36967, 11, 19336, 477, 2466, 7200, 4731, 369, 29066, 574, 87552, 311, 264, 2478, 3389, 3814, 19300, 13, 12220, 279, 4208, 11, 279, 18588, 574, 54117, 311, 10737, 11, 422, 1193, 1606, 8013, 15201, 1051, 14624, 311, 6063, 9063, 17789, 311, 6865, 872, 19214, 15612, 21562, 13, 3778, 480, 2506, 753, 1047, 9087, 5526, 1082, 2577, 78772, 28357, 78772, 323, 279, 622, 3328, 2365, 2391, 279, 5111, 11, 449, 73806, 5762, 304, 8993, 52473, 11, 14458, 52473, 11, 19424, 11, 323, 6690, 11994, 23963, 682, 927, 13527, 13, 4452, 11, 1306, 279, 4208, 11, 279, 2466, 7200, 5222, 3940, 311, 18174, 11, 323, 14425, 263, 388, 6244, 5526, 13, 763, 220, 6280, 15, 82, 8681, 13527, 11, 4923, 3168, 273, 1389, 1701, 2162, 27975, 24198, 1778, 439, 11623, 19826, 323, 15600, 11843, 18450, 1389, 17551, 279, 16665, 369, 13527, 753, 7091, 308, 89713, 627, 791, 1401, 311, 8681, 13527, 753, 1772, 11710, 8335, 315, 14507, 574, 1202, 22981, 16542, 13, 53215, 17882, 574, 4872, 315, 279, 8925, 315, 17657, 1990, 220, 6393, 22, 323, 220, 6280, 16, 13, 1283, 11497, 304, 813, 220, 6280, 22, 2363, 3962, 13299, 277, 23362, 63348, 304, 13527, 512, 14336, 97941, 13086, 9147, 603, 311, 2343, 369, 810, 3691, 323, 7257, 7384, 323, 311, 8448, 6864, 7241, 22917, 311, 4732, 279, 4500, 315, 279, 32042, 552, 323, 1023, 5596, 315, 279, 38298, 13, 3296, 220, 6393, 23, 279, 2694, 2860, 315, 1057, 25355, 24608, 574, 7154, 3403, 311, 2343, 1057, 9815, 22917, 2737, 264, 14691, 8987, 24659, 389, 25355, 6411, 45426, 13, 763, 220, 6393, 24, 584, 3604, 1047, 264, 41548, 389, 1057, 1510, 9815, 449, 279, 2800, 315, 279, 1917, 11, 279, 1176, 892, 304, 37755, 1667, 11, 323, 420, 1306, 279, 4814, 315, 264, 2294, 961, 315, 1057, 25355, 22538, 627, 33, 44039, 11380, 20038 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 76206, 18625, 23424, 17, 5075, 45872, 8198, 21579, 323, 15813, 8446, 5587, 220, 679, 22, 198, 18953, 13, 6570, 2864, 13575, 29039, 51770, 198, 29690, 279, 1888, 5211, 369, 46160, 374, 279, 4033, 350, 16519, 5211, 11, 902, 649, 387, 1766, 1618, 13, 5046, 539, 2968, 374, 264, 15182, 315, 279, 82780, 10401, 1234, 330, 11631, 2262, 1, 304, 9506, 323, 11612, 3645, 320, 72, 1770, 13, 279, 46160, 2038, 705, 439, 1664, 439, 3777, 2038, 320, 72, 1770, 13, 46160, 10401, 4390, 48274, 323, 4676, 198, 2028, 3388, 690, 7945, 304, 18459, 369, 20396, 1139, 16088, 627, 1128, 3781, 10831, 420, 2068, 374, 1060, 220, 717, 22027, 11, 323, 220, 16, 267, 1060, 34458, 323, 30903, 627, 791, 17910, 315, 53243, 527, 14918, 3060, 4236, 889, 527, 13326, 889, 1390, 6873, 994, 814, 1390, 433, 11, 477, 4236, 889, 527, 19624, 889, 1390, 6873, 1405, 814, 1390, 433, 13, 578, 8446, 311, 11322, 420, 11, 374, 311, 29166, 264, 10824, 315, 7855, 11, 2835, 323, 24890, 71109, 10696, 55180, 552, 311, 4639, 13, 11688, 11, 26550, 2826, 323, 48224, 2826, 320, 4178, 45, 8, 10742, 527, 20669, 555, 279, 1005, 315, 41941, 1701, 3254, 4221, 323, 7033, 13, 17381, 323, 4236, 1288, 617, 2680, 311, 264, 9492, 20, 7074, 11, 449, 459, 29966, 17710, 9183, 627, 791, 7580, 315, 29433, 13, 6570, 2864, 13575, 29039, 51770, 374, 311, 65308, 817, 4236, 304, 279, 6975, 1920, 13, 578, 16945, 374, 311, 91784, 349, 264, 743, 315, 6677, 11, 15325, 323, 6721, 320, 51271, 11, 84633, 11, 3575, 22581, 11, 20770, 323, 20790, 11, 9293, 323, 35821, 11, 659, 55885, 11, 6975, 323, 5557, 8, 7512, 311, 279, 64060, 13, 578, 2930, 7138, 3445, 433, 374, 15987, 904, 892, 11, 12660, 11, 323, 1070, 527, 4827, 8662, 50, 15635, 10980, 505, 44387, 6500, 10648, 13, 578, 2853, 315, 3388, 374, 5131, 33705, 520, 13489, 79283, 311, 1023, 2930, 12850, 13, 1226, 1101, 3085, 55855, 311, 7417, 40800, 311, 80947, 4236, 627, 38030, 323, 15813, 28904, 198, 24225, 9889, 374, 927, 264, 4261, 315, 220, 15, 11, 1701, 264, 10824, 315, 54600, 11, 18181, 7855, 11, 323, 4007, 8641, 13, 9393, 315, 279, 2930, 9889, 7138, 315, 420, 46160, 11, 4236, 4250, 9604, 264, 7106, 24978, 11, 323, 439, 1778, 11, 1253, 1397, 1005, 315, 42309, 323, 1023, 13674, 2835, 14645, 13, 1789, 4236, 430, 527, 1234, 220, 972, 11, 439, 264, 1972, 990, 4676, 1253, 387, 36087, 11, 264, 46836, 990, 477, 5064, 4676, 690, 387, 3984, 11, 323, 38217, 3984, 14453, 7162, 927, 7757, 10758, 14645, 627, 791, 2068, 690, 387, 12886, 1555, 264, 4101, 315, 384, 71856, 7384, 323, 56185, 40174, 11, 449, 1376, 1413, 10430, 4860, 311, 387, 91670, 304, 5315, 11, 323, 89323, 369, 4236, 311, 29235, 4686, 6957, 279, 2068, 11, 323, 15325, 9256, 1405, 8581, 13, 578, 384, 71856, 5452, 5825, 264, 46836, 990, 4676, 1405, 3284, 11, 1555, 279, 1005, 315, 1162, 7978, 13, 20783, 527, 1243, 2631, 311, 4686, 35359, 1413, 15813, 9256, 11, 11349, 779, 439, 990, 22165, 11, 311, 20461, 93904, 13, 82935, 1392, 527, 13375, 1555, 279, 384, 71856, 5452, 11, 1555, 990, 3217, 11, 990, 22165, 11, 46836, 990, 22484, 11, 477, 264, 10824, 315, 1521, 11, 11911, 389, 279, 8670, 315, 279, 5575, 627, 791, 2068, 690, 387, 12886, 555, 50802, 8316, 1139, 5370, 28066, 11, 2737, 512, 26072, 220, 16, 25, 2998, 21436, 288, 323, 39097, 15957, 220, 17, 25, 15922, 323, 13128, 39975, 15957, 220, 18, 25, 469, 3178, 661, 6429, 15957, 220, 19, 25, 18654, 81162, 15957, 220, 20, 25, 3331, 1534, 384, 3178, 661, 14546, 2849, 15957, 220, 21, 25, 9984, 1534, 384, 3178, 661, 14546, 7917, 11, 39881, 11360, 220, 22, 25, 452, 651, 788, 323, 842, 78738, 1887, 15957, 220, 23, 25, 16741, 38220, 11, 43745, 780, 11, 323, 22852, 1887, 15957, 220, 24, 25, 54389, 535, 323, 506, 4523, 683, 1887, 15957, 220, 605, 25, 68427, 323, 69397, 1887, 15957, 220, 806, 25, 77934, 5382, 1887, 15957, 220, 717, 25, 28049, 1887, 15957, 220, 1032, 25, 3402, 299, 68243, 1887, 11, 4500, 15957, 220, 975, 25, 84386, 15957, 220, 868, 25, 38321, 198, 791, 4595, 315, 6029, 430, 690, 387, 14890, 7119, 93904, 323, 7431, 59358, 311, 387, 1903, 922, 279, 4236, 529, 93904, 304, 1855, 5089, 11, 374, 11054, 304, 279, 3770, 6303, 13, 82935, 1105, 617, 279, 25152, 11, 4184, 311, 279, 8670, 315, 279, 4967, 6462, 11, 311, 4287, 1023, 7739, 315, 6029, 505, 3927, 4236, 11, 1778, 439, 1555, 432, 2989, 13, 41952, 7512, 527, 32448, 304, 682, 15813, 3673, 627, 2460, 15813, 7526, 2997, 682, 23541, 11, 14975, 323, 13122, 7526, 1397, 311, 27185, 15813, 11, 2737, 279, 2317, 323, 4787, 369, 15813, 11, 9256, 279, 5575, 690, 49643, 11, 10507, 315, 6029, 311, 387, 20802, 505, 279, 9322, 11, 323, 13186, 1511, 311, 8720, 279, 4367, 315, 5178, 627, 1622, 311, 12823, 477, 7526, 311, 387, 1511, 25, 7436, 362, 1389, 87529, 14173, 1389, 87529, 449, 1817, 18035, 323, 659, 15813, 11, 15766, 7199, 14, 2244, 278, 51968, 11, 5664, 22165, 11302, 477, 6029, 20802, 1555, 990, 22165, 7436, 426, 1389, 66736, 14173, 1389, 32323, 611, 5896, 59098, 11, 40555, 822, 315, 990, 7436, 356, 1389, 34991, 14173, 1389, 16225, 287, 11, 34991, 3475, 11, 11799, 19723, 11, 59763, 3575, 22581, 11, 79122, 32801, 5036, 7436, 423, 1389, 29140, 505, 27465, 38419, 198, 38030, 323, 15813, 5687, 198, 791, 4967, 7471, 706, 9749, 323, 24884, 430, 682, 51191, 323, 8720, 1105, 3449, 93904, 8670, 11, 323, 3136, 311, 2274, 872, 4634, 6072, 1555, 6721, 4500, 627, 1305, 1780, 323, 1089, 8473, 198, 12555, 13, 622, 13, 473, 13, 1443, 372, 198, 12555, 13, 622, 13, 473, 13, 1443, 372, 198, 12555, 13, 622, 13, 473, 13, 1443, 372, 198, 12555, 13, 622, 13, 473, 13, 1443, 372, 198, 38030, 323, 15813, 10741, 1920, 198, 38030, 323, 15813, 304, 420, 2068, 617, 1027, 33432, 555, 29173, 449, 5064, 11, 1023, 4967, 11351, 11, 5687, 323, 4236, 34167, 11, 323, 527, 22690, 30171, 11, 439, 1664, 439, 1023, 51191, 11, 8720, 1105, 323, 4236, 11, 323, 6170, 369, 77975, 16048, 10555, 13, 16543, 11351, 617, 1027, 61302, 449, 24886, 311, 11469, 279, 4967, 323, 15813, 8446, 11, 16967, 279, 4967, 323, 15813, 8446, 11, 323, 11469, 323, 16967, 15813, 9256, 13, 25684, 527, 4691, 512, 5733, 24280, 7526, 1288, 3449, 16565, 315, 15813, 512, 5733, 24280, 9256, 527, 8475, 311, 20461, 93904, 520, 279, 4040, 83555, 37, 2237, 198, 5733, 24280, 6276, 30816, 315, 3539, 2968, 7512, 824, 5089, 8670, 198, 4180, 320, 3833, 988, 311, 5178, 13186, 11, 11297, 2134, 315, 5178, 49976, 340, 6882, 2205, 320, 395, 22456, 12387, 3115, 449, 13263, 3135, 340, 76247, 320, 263, 51906, 2683, 11, 17125, 3115, 340, 61895, 320, 47792, 34074, 1903, 311, 14201, 459, 5820, 369, 810, 1109, 832, 15813, 1749, 11, 7937, 17910, 315, 3927, 340, 5733, 24280, 7526, 1288, 6106, 512, 36724, 2038, 374, 69225, 7167, 4495, 323, 304, 14733, 6498, 198, 35891, 13186, 374, 9960, 198, 16648, 13576, 1251, 14, 49582, 5089, 7512, 14441, 52286, 8670, 527, 20669, 198, 43108, 13878, 315, 5089, 15813, 20669, 198, 4383, 287, 17959, 824, 279, 4967, 6462, 198, 11787, 30464, 369, 8403, 449, 3361, 3966, 198, 31996, 8662, 50, 8670, 369, 5089, 14, 71864, 198, 56934, 3685, 11503, 311, 15813, 4860, 198, 12389, 14343, 323, 9539, 11054, 11470, 323, 4787, 369, 8720, 1105, 323, 11426, 198, 1956, 315, 2373, 15151, 1510, 198, 76139, 6072, 527, 9539, 11054, 323, 9435, 304, 15813, 7640, 512, 5733, 24280, 45799, 9256, 2631, 304, 279, 27465, 198, 5733, 65970, 430, 5575, 649, 10299, 1396, 315, 2204, 9256, 389, 279, 2683, 198, 5733, 65970, 7512, 369, 14392, 1148, 311, 656, 994, 2574, 733, 5076, 198, 97296, 1439, 8830, 323, 57383, 315, 17078, 315, 279, 27465, 198, 5733, 65970, 7512, 323, 6677, 374, 9959, 323, 649, 387, 25548, 311, 502, 15082, 323, 38697, 198, 791, 6029, 23738, 7526, 512, 61524, 14343, 6029, 11, 902, 649, 387, 20802, 927, 264, 4261, 315, 892, 198, 50122, 6029, 902, 374, 304, 18859, 449, 279, 5718, 315, 6029, 11, 602, 1770, 13, 2764, 11, 13513, 11, 1510, 323, 14343, 198, 41651, 279, 5089, 8670, 198, 791, 3388, 7384, 527, 14592, 505, 53411, 21579, 13782, 22995, 11, 902, 617, 1027, 8040, 439, 10980, 315, 279, 5165, 650, 1372, 384, 71856, 8446, 11, 304, 32546, 449, 5064, 627, 2173, 264, 2860, 7463, 315, 220, 15, 10741, 7540, 14976, 11, 420, 46160, 706, 1027, 33432, 220, 15, 3115, 13, 1115, 374, 264, 11302, 2077, 4478, 315, 220, 15, 126437, 14428, 11302, 374, 14890, 323, 30239, 11, 311, 7945, 449, 19815, 16048, 11618, 13, 20783, 527, 682, 3984, 449, 10708, 311, 3493, 11302, 6957, 279, 3388, 323, 15813, 3673, 13, 2435, 527, 1101, 2728, 264, 24617, 10795, 520, 279, 9954, 315, 279, 1060, 13, 20783, 527, 4691, 311, 4320, 279, 2768, 4860, 25, 7436, 13440, 279, 31678, 574, 5505, 7436, 1442, 912, 11, 904, 6170, 7436, 3639, 706, 1027, 701, 1401, 1486, 304, 701, 6975, 5380, 2028, 374, 264, 659, 78780, 3388, 13, 578, 3388, 31384, 690, 3729, 499, 20193, 1306, 701, 66466, 479, 311, 1520, 499, 636, 3940, 13, 578, 4553, 8250, 315, 279, 3388, 374, 220, 15, 14998, 39392, 67610, 30, 2998, 999, 520, 11988, 1520, 51169, 922, 432, 2989, 198, 16892, 555, 3060, 6138, 6873, 477, 2930, 13, 1357, 4114, 14307, 527, 539, 2561, 13, 11208, 3856, 75438, 11, 6138, 6873, 374, 64770, 11, 1606, 7855, 30318, 323, 1023, 21416, 8381, 14645, 527, 539, 2561, 27258, 198, 38030, 11, 15813, 11, 323, 1862, 3600, 2038, 198, 3923, 499, 3358, 636, 198, 6806, 8579, 3048, 320, 6414, 77819, 8, 5089, 28292, 7436, 8579, 3048, 320, 6414, 77819, 8, 1376, 1413, 323, 35359, 1413, 15813, 7436, 5575, 5594, 4986, 323, 5575, 12, 24247, 6369, 323, 12111, 1862, 13, 12220, 75954, 11, 4236, 690, 387, 3984, 449, 1862, 4669, 384, 11724, 11, 8232, 11, 323, 21186, 7436, 459, 10292, 315, 16125, 5304, 6992, 9954, 315, 279, 3388, 7436, 51191, 889, 2512, 1633, 1790, 922, 4236, 323, 872, 7978, 11, 889, 527, 10534, 449, 279, 3917, 3158, 11, 323, 12917, 198, 28005, 8728, 8554, 18457, 3, 8652, 8, 320, 2028, 3072, 374, 2631, 369, 4236, 19762, 311, 4007, 555, 6138, 13, 41558, 1101, 14861, 2853, 311, 29433, 13, 6570, 2864, 13575, 29039, 51770, 369, 78141, 323, 10758, 8, 11016, 14058, 320, 1962, 2561, 369, 69573, 4236, 8, 58984, 482, 2998, 999, 520, 279, 11988, 1520, 51169, 320, 1687, 3085, 29865, 5990, 315, 55855, 369, 4236, 889, 649, 12391, 80431, 11, 19624, 11, 477, 1023, 6020, 49836, 13, 1115, 649, 2997, 6401, 10852, 6938, 11, 19903, 6938, 11, 477, 11434, 889, 649, 6062, 20461, 6020, 11, 80431, 11, 19624, 11, 477, 1023, 49836, 13, 20783, 690, 387, 32448, 389, 264, 1162, 555, 1162, 8197, 11, 719, 304, 4689, 11, 4236, 449, 1633, 15748, 6020, 49836, 11, 1778, 439, 63022, 11, 1253, 5371, 264, 2539, 54205, 315, 11307, 26, 4236, 449, 15748, 6020, 49836, 11, 1778, 439, 2683, 1752, 3254, 6691, 11, 1253, 5371, 264, 220, 2075, 4, 14278, 304, 11307, 26, 4236, 449, 6020, 49836, 11, 1778, 439, 2683, 1752, 5575, 11, 1253, 5371, 220, 1135, 4, 14278, 304, 11307, 26, 323, 4236, 889, 527, 69573, 11, 1778, 439, 38349, 11, 1253, 5371, 220, 914, 4, 14278, 304, 11307, 6266, 8650, 2489, 482, 2998, 999, 520, 279, 11988, 1520, 51169, 320, 1687, 690, 23917, 46841, 3430, 389, 459, 20086, 46160, 9076, 555, 264, 22785, 9879, 4967, 7471, 11, 1524, 422, 433, 596, 389, 6412, 11, 323, 9567, 433, 555, 220, 20, 14697, 1115, 64468, 18324, 315, 4972, 6975, 11, 323, 5226, 21913, 13, 9359, 690, 387, 1903, 311, 279, 23917, 7471, 311, 6106, 7634, 527, 2561, 304, 279, 20081, 46160, 13, 8650, 690, 387, 18545, 1524, 422, 3770, 2853, 13, 8650, 2489, 690, 387, 39377, 369, 23455, 889, 10765, 279, 23917, 3430, 1603, 66466, 479, 11, 477, 2949, 63360, 2919, 315, 66466, 479, 29275, 18953, 13, 6570, 2864, 13575, 29039, 51770, 6209, 5217, 3600, 11, 369, 902, 279, 12718, 527, 539, 5343, 304, 279, 66466, 479, 11307, 13, 1115, 5764, 7436, 16314, 84, 685, 315, 14039, 46160, 1296, 309, 324, 11, 54824, 400, 1399, 7436, 59678, 369, 18324, 315, 4972, 6975, 320, 49, 2989, 8, 323, 18324, 315, 1510, 4634, 6072, 320, 49 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 6349, 39576, 9304, 315, 5277, 323, 7127, 198, 791, 42958, 9304, 315, 5277, 323, 7127, 320, 11865, 1846, 8, 374, 264, 879, 7926, 58394, 304, 279, 9302, 19071, 323, 7559, 304, 42958, 11, 19461, 13, 21539, 1846, 5131, 665, 39374, 13489, 220, 4728, 4236, 13, 21539, 1846, 374, 832, 315, 1120, 264, 2478, 3682, 1989, 8853, 311, 3085, 264, 3682, 304, 20303, 1989, 627, 91, 34955, 355, 8651, 94368, 11, 220, 605, 27464, 320, 19, 6520, 8, 7511, 11865, 1846, 574, 18538, 304, 220, 9367, 21, 555, 279, 79811, 315, 279, 42958, 13581, 315, 31253, 17979, 323, 13517, 7086, 279, 42958, 6150, 315, 31253, 17979, 13, 31164, 43614, 320, 9741, 21, 4235, 7285, 20, 705, 459, 27332, 3778, 34133, 30581, 889, 20041, 304, 12366, 449, 37048, 8753, 30581, 323, 27863, 269, 20263, 8288, 978, 263, 480, 14081, 99757, 320, 10828, 19, 4235, 7028, 19, 705, 6244, 279, 2978, 596, 1176, 4872, 13, 11699, 54559, 538, 574, 5762, 304, 264, 49959, 13455, 304, 19441, 42958, 323, 1047, 459, 39148, 315, 220, 1591, 4236, 11, 220, 1627, 315, 8884, 1051, 3278, 627, 644, 6790, 220, 9367, 24, 11, 279, 2978, 1766, 264, 810, 15690, 2162, 389, 279, 1948, 6558, 315, 279, 1120, 2269, 25682, 42958, 3142, 11896, 520, 220, 605, 339, 6825, 323, 473, 2734, 752, 258, 17569, 13, 763, 220, 9378, 18, 11, 10555, 6063, 40260, 30581, 323, 72146, 8563, 30417, 58696, 320, 9741, 15, 4235, 7529, 22, 8, 7882, 505, 1561, 4356, 311, 19461, 311, 3719, 4872, 315, 279, 2978, 13, 6193, 279, 1828, 5899, 1667, 11, 568, 8040, 1790, 315, 279, 30676, 430, 374, 3967, 3432, 439, 279, 1989, 6873, 2115, 13, 3296, 279, 2543, 315, 279, 9478, 11, 279, 2978, 1047, 1403, 54918, 323, 1047, 81099, 264, 7474, 4751, 11, 304, 5369, 311, 3814, 6989, 369, 1274, 304, 279, 4029, 13, 763, 220, 7529, 15, 11, 279, 6150, 315, 31253, 17979, 5614, 1202, 836, 311, 279, 42958, 6150, 315, 5277, 311, 8881, 279, 502, 25679, 389, 9435, 19071, 627, 644, 220, 7529, 20, 11, 279, 2978, 7882, 311, 1202, 3118, 3813, 832, 14929, 10007, 315, 19441, 42958, 11, 323, 743, 709, 1202, 58216, 323, 42795, 2949, 279, 13945, 20968, 42958, 10181, 315, 17979, 13, 578, 220, 605, 64434, 320, 19, 6520, 8, 2816, 369, 279, 1989, 24925, 323, 2978, 574, 34468, 311, 279, 4409, 315, 42958, 304, 220, 7529, 16, 555, 21102, 2254, 72759, 323, 47378, 8283, 50054, 320, 10336, 17, 4235, 7529, 18, 570, 1102, 574, 34833, 25366, 555, 37912, 47930, 11, 279, 2162, 323, 12675, 315, 50054, 596, 6699, 25225, 321, 355, 50054, 320, 10562, 19, 4235, 9378, 22, 705, 279, 1176, 17352, 315, 42958, 11, 323, 5340, 65670, 10435, 12682, 27484, 6518, 50054, 320, 10828, 16, 4235, 9367, 15, 570, 578, 2816, 315, 279, 50054, 596, 4846, 12675, 374, 3432, 5762, 304, 279, 586, 7095, 1234, 279, 29101, 315, 279, 42958, 5657, 323, 57857, 8925, 323, 374, 19073, 3967, 439, 25225, 321, 355, 50054, 5657, 627, 644, 220, 7529, 21, 11, 279, 2978, 7882, 1139, 1202, 1866, 14373, 13077, 304, 279, 502, 40394, 50054, 27872, 17283, 11, 902, 574, 5918, 449, 10736, 3984, 311, 279, 42958, 13581, 315, 31253, 17979, 555, 2999, 13, 85055, 6113, 22464, 50054, 320, 9367, 18, 4235, 6393, 24, 8, 323, 813, 13219, 11, 14693, 301, 50054, 13000, 13031, 34215, 320, 9674, 21, 4235, 5926, 16, 705, 439, 264, 39017, 311, 872, 6691, 11, 40394, 28263, 94469, 6113, 22464, 50054, 320, 9741, 18, 4235, 9367, 18, 705, 279, 7555, 315, 8283, 50054, 13, 48525, 555, 21102, 42958, 11726, 76249, 12897, 3258, 60350, 1468, 320, 9674, 19, 4235, 7285, 24, 705, 264, 4846, 42958, 13581, 315, 31253, 17979, 4872, 11, 279, 50054, 17283, 15109, 2380, 3544, 19354, 42795, 449, 1940, 4010, 2866, 11, 23541, 19672, 11, 35936, 323, 459, 54406, 2411, 627, 644, 220, 4468, 15, 11, 279, 6150, 574, 28379, 279, 42958, 9304, 315, 5277, 323, 7127, 311, 8881, 279, 7353, 6147, 315, 1202, 7060, 19071, 323, 18250, 19071, 2917, 46582, 13, 3296, 420, 892, 11, 449, 39148, 315, 7154, 220, 5067, 4236, 11, 279, 7926, 1047, 704, 62376, 1202, 13077, 11, 323, 304, 220, 4468, 19, 17626, 1139, 264, 4857, 6319, 555, 393, 57821, 7197, 32293, 4235, 7678, 1251, 6617, 380, 11726, 14594, 13028, 350, 853, 320, 7529, 18, 4235, 1049, 20, 8, 439, 961, 315, 279, 502, 330, 7183, 6485, 1, 430, 5343, 279, 15394, 596, 27315, 8351, 323, 264, 3682, 5369, 311, 279, 42958, 10181, 315, 17979, 627, 1966, 5887, 220, 16, 11, 220, 3753, 23, 11, 21539, 1846, 6244, 264, 42241, 9678, 15244, 11, 912, 5129, 27800, 555, 279, 42958, 13581, 315, 31253, 17979, 627, 11865, 1846, 6209, 3892, 8547, 7620, 627, 87831, 315, 31253, 17979, 25, 578, 426, 3711, 2068, 6209, 56333, 304, 21415, 11, 41063, 5277, 11, 38859, 323, 55143, 11, 16807, 3906, 1802, 11, 31253, 17979, 19074, 11, 30339, 7127, 11, 45051, 7127, 11, 39154, 367, 11, 5000, 1628, 83322, 2998, 18347, 11, 41147, 11, 8377, 18343, 6017, 11, 5761, 7127, 11, 323, 83797, 554, 627, 87831, 315, 10170, 25, 578, 426, 3407, 2068, 6209, 264, 3682, 304, 70406, 7978, 13, 20783, 617, 279, 6776, 311, 3449, 449, 1972, 8403, 323, 1935, 389, 1972, 7224, 369, 264, 66251, 4007, 505, 279, 4545, 814, 3094, 4871, 21539, 1846, 596, 14365, 13, 1115, 6276, 4236, 311, 4009, 449, 5064, 15749, 555, 10671, 264, 961, 315, 279, 5064, 5694, 11, 7231, 1124, 539, 1193, 459, 6873, 719, 1101, 1972, 31184, 3217, 13, 3296, 279, 892, 814, 19560, 11, 4236, 2736, 617, 264, 2531, 5352, 389, 38581, 505, 1023, 31252, 323, 23978, 627, 37239, 7623, 11930, 25, 21539, 1846, 6209, 264, 1396, 315, 14691, 7978, 14307, 369, 2911, 11, 27294, 11, 323, 12884, 13, 22919, 14307, 527, 2561, 369, 2225, 70272, 323, 6721, 4500, 627, 18532, 315, 31253, 17979, 25, 578, 386, 3711, 2068, 6209, 49255, 304, 279, 5789, 315, 21415, 11, 41063, 5277, 11, 38859, 11, 16807, 3906, 1802, 11, 30339, 7127, 11, 45051, 7127, 11, 39154, 367, 11, 42966, 7972, 11, 55143, 11, 41147, 11, 8377, 28936, 11, 83797, 554, 13, 1102, 5829, 264, 36528, 6108, 5603, 304, 902, 4236, 3373, 264, 36528, 505, 264, 1160, 315, 21539, 1846, 22291, 323, 6721, 3158, 13820, 11, 990, 832, 10539, 19101, 449, 872, 76707, 25394, 872, 9021, 439, 459, 10255, 11, 323, 2274, 15174, 304, 14356, 1989, 323, 18250, 7978, 68569, 311, 3449, 872, 3966, 627, 18532, 315, 17979, 304, 61593, 7127, 25, 5034, 10880, 304, 220, 1049, 19, 11, 21539, 1846, 596, 7491, 315, 19071, 304, 22556, 2955, 2068, 574, 279, 1176, 55325, 2930, 2068, 11, 539, 14079, 311, 18112, 11, 21760, 389, 41329, 81898, 430, 649, 387, 9435, 311, 904, 5149, 13, 578, 2068, 574, 8040, 323, 374, 15972, 555, 1317, 56703, 41329, 43195, 3318, 304, 2955, 323, 2626, 11, 2737, 3697, 315, 4435, 52813, 11, 91608, 318, 292, 894, 33592, 11, 7327, 13581, 315, 89812, 71502, 11, 323, 279, 3700, 12214, 10745, 33592, 13, 20783, 2586, 505, 682, 19647, 11, 27833, 11, 323, 7076, 18094, 311, 4430, 6848, 323, 26793, 1418, 6975, 1268, 311, 3881, 6067, 7422, 311, 872, 1866, 990, 13, 2876, 7347, 311, 26897, 11, 2626, 323, 3109, 5597, 29414, 1505, 814, 539, 1193, 4048, 1268, 311, 990, 304, 459, 9435, 41329, 4676, 11, 719, 1101, 4048, 2955, 7422, 81898, 2345, 2203, 34552, 1972, 323, 1317, 9860, 19297, 627, 18532, 315, 17979, 304, 45051, 323, 5000, 7127, 25, 21539, 1846, 596, 7491, 315, 19071, 304, 21154, 323, 3566, 2955, 374, 7373, 2930, 13, 48778, 3504, 2955, 16565, 11, 97382, 11, 3495, 11, 2679, 367, 11, 3566, 2955, 11, 15840, 11, 29388, 6373, 11, 323, 810, 627, 11865, 1846, 374, 7559, 520, 220, 5154, 16, 36177, 17569, 11, 1120, 10007, 315, 19441, 42958, 13, 1102, 13551, 459, 63134, 64434, 19071, 15679, 449, 279, 42958, 10181, 315, 5277, 323, 279, 15394, 596, 27315, 8351, 13, 578, 21539, 1846, 15679, 17610, 315, 8223, 14016, 323, 2380, 27464, 315, 2383, 4511, 323, 36536, 627, 12, 21539, 1846, 6209, 5575, 32729, 369, 389, 94419, 5496, 627, 12, 220, 8259, 36281, 198, 12, 220, 605, 92126, 198, 12, 220, 5495, 832, 49607, 9949, 198, 12, 220, 1272, 1403, 49607, 9949, 198, 12, 220, 24, 2380, 49607, 9949, 198, 12, 220, 3391, 3346, 527, 24330, 198, 791, 42958, 11002, 6150, 11, 264, 9178, 11002, 16627, 2068, 24073, 555, 279, 11002, 20214, 315, 11930, 11, 8767, 5762, 1202, 6989, 520, 21539, 1846, 627, 11865, 1846, 27149, 832, 1925, 18537, 3634, 11, 264, 18537, 389, 279, 3613, 5366, 11, 459, 16166, 51067, 13863, 11, 323, 279, 5575, 23831, 19853, 220, 10410, 13, 578, 7926, 18939, 19225, 1989, 323, 2955, 70864, 11, 81293, 11, 10255, 13739, 11, 323, 1023, 4455, 430, 527, 1949, 323, 1825, 311, 279, 586, 627, 12, 10884, 86172, 82, 25, 220, 13655, 198, 12, 5629, 7394, 8547, 99538, 98849, 25, 220, 6860, 198, 12, 44825, 39148, 25, 220, 2096, 198, 2688, 481, 52121, 323, 22291, 198, 12, 31991, 7910, 16762, 351, 14406, 25, 83797, 269, 11, 1194, 26850, 11, 323, 19071, 72146, 1888, 3967, 369, 27863, 4269, 96939, 430, 1101, 8854, 264, 15325, 734, 627, 12, 18063, 426, 1036, 1923, 25, 29459, 1888, 3967, 369, 813, 990, 2391, 279, 83852, 55383, 4261, 627, 12, 51608, 4821, 685, 276, 84, 25, 29459, 1888, 3967, 369, 1077, 36692, 323, 8309, 1147, 627, 12, 7742, 426, 28376, 25, 15940, 1888, 3967, 369, 1077, 384, 621, 90492, 2440, 627, 12, 20199, 71290, 36470, 25, 29459, 1888, 3967, 369, 35821, 279, 356, 343, 5277, 7720, 627, 12, 44312, 66620, 3320, 53440, 25, 97864, 11, 27863, 269, 11, 323, 1194, 26850, 627, 12, 13951, 2259, 84067, 25, 83797, 269, 3967, 369, 1077, 18699, 1005, 315, 3827, 1814, 2465, 14228, 7384, 323, 279, 18488, 315, 279, 17779, 315, 50884, 15545, 1814, 2465, 5277, 627, 12, 84738, 426, 392, 3258, 25, 75839, 889, 28175, 304, 78223, 7397, 315, 19664, 1274, 304, 18254, 6439, 627, 12, 7957, 11799, 62386, 25, 48302, 10255, 323, 29867, 627, 12, 90585, 1611, 25105, 25, 41678, 42606, 889, 9087, 7124, 1063, 3062, 19567, 304, 3778, 1989, 11, 2737, 26361, 2191, 11, 9983, 8976, 2191, 11, 323, 77071, 1598, 627, 12, 44069, 22730, 46423, 25, 48302, 10255, 323, 11326, 1888, 3967, 369, 6968, 279, 8176, 29409, 369, 13789, 358, 424, 11, 13946, 315, 279, 74679, 369, 7252, 1561, 29459, 627, 12, 3842, 35352, 3061, 1036, 18851, 25, 3861, 315, 279, 1176, 43195, 315, 2167, 77791, 320, 19171, 3967, 439, 62827, 2167, 68, 8, 304, 279, 3723, 4273, 627, 12, 468, 10018, 480, 28793, 25, 29459, 11, 3229, 11, 46588, 11, 323, 94465, 1455, 10555, 369, 4477, 323, 94012, 279, 2911, 596, 2363, 74418, 315, 51849, 627, 12, 435, 13, 6706, 65036, 72497, 1525, 25, 60776, 743, 51778, 520, 99491, 42795, 369, 927, 220, 1272, 1667, 198, 12, 8388, 5169, 18288, 25, 40245, 10255, 198, 12, 10455, 10517, 3617, 978, 25, 100160, 1888, 3967, 369, 1077, 3504, 323, 12735, 45543, 315, 279, 14253, 30427, 6603, 304, 872, 549, 815, 13, 47634, 4756, 555, 5124, 337, 5174, 627, 12, 77449, 91031, 25, 18766, 380, 30581, 11, 27863, 269, 11, 323, 74473, 380, 889, 17427, 18324, 369, 813, 1561, 64874, 14756, 14861, 627, 12, 11824, 622, 5673, 729, 25, 41063, 2363, 7061, 323, 10255, 3967, 369, 813, 35306, 8640, 389, 279, 38809, 15671, 578, 51679, 315, 38809, 323, 38809, 320, 12821, 13, 220, 17, 4390, 12, 92368, 362, 13, 86178, 25, 13822, 7645, 380, 30581, 323, 34133, 30581, 627, 12, 393, 13, 10016, 40424, 8458, 25, 45051, 15034, 11, 57613, 15034, 11, 323, 955, 15034, 5423, 10555, 369, 279, 2955, 315, 15371, 11346, 11, 264, 1772, 50889, 955, 1594, 627, 12, 4488, 32498, 1543, 25, 19461, 39844, 323, 40550, 369, 4632, 627, 12, 8732, 355, 34492, 261, 25, 69530, 380, 11, 94465, 323, 25649, 15034, 627, 12, 39611, 84962, 1293, 25, 29459, 449, 264, 46096, 369, 3544, 13230, 19354, 315, 1579, 7872, 627, 12, 11517, 50887, 25, 69530, 380, 11, 94465, 11, 323, 3229, 1888, 3967, 369, 1077, 17496, 20303, 13619, 1054, 53, 32012, 21882, 49216, 12, 10058, 50054, 25, 63641, 30581, 323, 27863, 269, 323, 961, 315, 264, 12960, 315, 8278, 7645, 1705, 627, 12, 29656, 452, 1201, 6362, 25, 7252, 3967, 369, 1077, 2536, 5621, 29844, 1697, 68690, 39480, 5707, 36692, 323, 8278, 1647, 454, 1616, 82, 627, 12, 55034, 75355, 25, 45051, 15034, 11, 30581, 11, 38012, 10255, 11, 323, 72146 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 7009, 1047, 1063, 6555, 6946, 709, 315, 459, 7274, 449, 34538, 60983, 622, 9574, 65816, 4491, 13, 16645, 43684, 971, 544, 13, 5810, 596, 264, 2536, 29137, 17570, 3477, 13, 3161, 856, 4443, 18463, 682, 927, 433, 627, 33, 285, 971, 544, 34945, 304, 813, 2363, 279, 423, 10510, 5828, 956, 264, 7564, 889, 1436, 3412, 279, 2316, 264, 1317, 892, 11, 719, 622, 9574, 3585, 704, 430, 423, 10510, 5762, 433, 264, 330, 65, 3265, 315, 3115, 3343, 43684, 971, 544, 3352, 4501, 47591, 9204, 12617, 83, 2191, 11, 439, 17478, 51104, 10405, 11, 323, 4619, 58273, 31638, 439, 264, 8331, 13, 330, 40, 1436, 1797, 389, 423, 10510, 1359, 4491, 13, 426, 16438, 528, 3233, 11, 7999, 330, 46648, 5900, 264, 1317, 1648, 449, 757, 1210, 1283, 3585, 704, 430, 423, 10510, 1053, 2646, 387, 264, 330, 9712, 12134, 498, 1093, 9305, 11, 19816, 11, 58371, 11, 37749, 473, 11, 477, 1131, 41, 9574, 13, 2360, 14243, 11, 568, 1071, 430, 13, 1628, 17478, 51104, 60219, 45, 17773, 13062, 691, 2198, 11, 439, 422, 311, 4284, 568, 34008, 449, 813, 22165, 304, 430, 5699, 13, 55166, 278, 4545, 11, 27136, 13, 358, 320, 438, 904, 13579, 1732, 8, 1053, 2019, 423, 10510, 574, 264, 1790, 11493, 6917, 1109, 622, 9574, 11, 323, 7995, 7882, 810, 36045, 323, 1047, 2731, 9248, 323, 4018, 2731, 2773, 437, 323, 374, 4762, 2753, 315, 264, 25185, 13, 358, 8101, 11, 304, 279, 38817, 24493, 380, 1023, 14957, 315, 34538, 11, 1694, 279, 56690, 304, 872, 2883, 704, 30972, 1725, 1694, 56690, 12660, 775, 13, 42669, 11, 568, 5602, 423, 10510, 439, 264, 7564, 499, 1436, 733, 311, 304, 279, 2875, 9860, 323, 1005, 439, 264, 9320, 13, 56136, 11, 994, 568, 574, 304, 5150, 488, 11, 832, 315, 37746, 54, 596, 2478, 2162, 62376, 2307, 37738, 627, 1966, 10699, 14, 3923, 44896, 37746, 54, 512, 33, 285, 971, 544, 38239, 430, 1690, 1274, 1781, 568, 11, 304, 2144, 11, 7577, 37746, 54, 13, 1283, 3287, 956, 1390, 311, 656, 279, 2363, 520, 1176, 1606, 568, 3287, 956, 1781, 813, 3446, 574, 330, 543, 430, 7185, 498, 323, 430, 36540, 6603, 2586, 1022, 439, 330, 65, 3328, 1, 323, 16988, 304, 330, 80216, 16983, 287, 1, 323, 568, 3287, 956, 1390, 311, 2586, 1022, 430, 1648, 13, 4452, 11, 994, 568, 48569, 645, 813, 1866, 836, 323, 27685, 4131, 709, 323, 5334, 813, 15553, 5076, 11, 323, 6835, 1461, 459, 16627, 4092, 568, 3250, 956, 617, 11, 568, 64397, 311, 3350, 279, 2363, 1606, 433, 574, 330, 1712, 311, 2867, 279, 3805, 3343, 358, 1053, 3085, 430, 422, 5127, 6267, 264, 2363, 311, 4495, 27685, 42025, 27121, 11, 1070, 4265, 387, 912, 12690, 2163, 555, 279, 842, 279, 2046, 13, 3011, 1694, 1071, 11, 520, 3325, 27685, 374, 8647, 11, 4869, 46345, 11, 369, 2555, 358, 3604, 1390, 311, 1373, 627, 1, 15546, 656, 358, 1781, 7577, 37746, 54, 7673, 43684, 971, 544, 1153, 1220, 25, 330, 40, 1781, 94251, 14, 1489, 32780, 26, 279, 47112, 11, 7577, 37746, 54, 1210, 17478, 51104, 17501, 1461, 422, 568, 2103, 15849, 814, 4265, 387, 304, 2626, 11, 422, 568, 15849, 56232, 1053, 387, 3318, 369, 1461, 3432, 11, 1047, 430, 47112, 539, 8208, 1555, 13, 1283, 1587, 420, 449, 264, 99531, 12, 588, 2230, 16630, 430, 13533, 568, 374, 10371, 2555, 311, 902, 568, 706, 5644, 6773, 279, 14329, 374, 837, 11, 902, 12716, 813, 94800, 38769, 311, 922, 1370, 449, 279, 3682, 14488, 323, 13585, 5513, 13, 43684, 971, 544, 31680, 11, 5115, 289, 894, 398, 11, 430, 568, 3250, 956, 1781, 56232, 1053, 387, 3318, 369, 1461, 15851, 13, 330, 40, 1781, 264, 2763, 315, 2574, 1053, 617, 1047, 311, 3621, 311, 56232, 80928, 1603, 430, 1053, 617, 3596, 7077, 1210, 16645, 64235, 447, 4501, 64664, 430, 568, 15849, 7995, 2574, 430, 4460, 311, 387, 2884, 11, 902, 568, 1053, 617, 2884, 422, 2410, 19117, 956, 1027, 4224, 35344, 704, 315, 813, 6206, 11, 1053, 617, 5614, 37746, 54, 596, 68603, 627, 3923, 1283, 19418, 12522, 28457, 423, 14657, 4501, 512, 57741, 757, 16102, 30, 358, 8434, 956, 617, 17454, 439, 3345, 311, 279, 11005, 439, 358, 1550, 1131, 40, 1781, 430, 574, 279, 3254, 7928, 16930, 430, 358, 1903, 430, 358, 6562, 358, 1436, 617, 2884, 22009, 1210, 8489, 11, 912, 5811, 1618, 627, 1966, 10699, 304, 34538, 15148, 77, 956, 362, 1322, 512, 82255, 832, 1732, 304, 420, 2883, 498, 43684, 971, 544, 75207, 989, 5415, 11, 39223, 757, 92925, 13, 15936, 389, 11, 16645, 13, 33652, 3061, 1334, 99550, 1507, 15334, 4393, 7354, 39, 5358, 304, 264, 480, 15322, 4069, 435, 4735, 0, 33652, 1524, 16584, 439, 1790, 304, 813, 2363, 13, 4800, 11, 11938, 11, 499, 2351, 539, 279, 1193, 1732, 33652, 596, 2884, 430, 311, 11, 719, 430, 3250, 956, 3152, 433, 5828, 956, 653, 66886, 13, 2418, 709, 4999, 1966, 7043, 28653, 1543, 512, 41, 9574, 649, 20781, 97876, 279, 16267, 304, 813, 7899, 439, 568, 34945, 279, 330, 55911, 462, 7918, 1, 2574, 4491, 13, 426, 16438, 706, 311, 2019, 922, 7043, 28653, 1543, 304, 813, 2363, 13, 330, 40, 574, 7995, 459, 28391, 369, 7043, 28653, 1543, 1359, 16645, 2795, 11, 323, 5115, 54466, 358, 2643, 923, 13, 330, 4054, 315, 279, 2574, 7043, 1550, 9193, 1664, 1359, 293, 1336, 13856, 1494, 11, 8474, 0, 7566, 11, 43684, 971, 544, 5718, 0, 330, 16514, 6308, 757, 1131, 438, 6308, 56232, 80928, 1131, 300, 279, 1403, 14289, 2466, 7752, 889, 1051, 4560, 311, 2231, 1461, 1694, 279, 2697, 7564, 704, 315, 2626, 13, 12334, 574, 4726, 505, 279, 8206, 1210, 69149, 11, 358, 1541, 956, 1440, 422, 87181, 374, 4726, 505, 279, 8206, 11, 719, 568, 320, 19182, 1543, 8, 1550, 4762, 39030, 349, 433, 13, 43684, 971, 544, 49378, 622, 9574, 596, 19219, 76, 27456, 3063, 3502, 5605, 430, 16645, 13524, 15849, 11, 3196, 389, 1148, 568, 6267, 11, 430, 279, 21283, 54, 11005, 1051, 330, 67, 3635, 52090, 5233, 43684, 971, 544, 3250, 956, 23556, 719, 2795, 568, 1587, 4510, 814, 1051, 16558, 7043, 596, 330, 57607, 597, 1786, 12, 3864, 3343, 1628, 568, 1071, 430, 1314, 13, 578, 47697, 374, 7480, 9705, 11, 433, 37202, 956, 330, 911, 2070, 3343, 8442, 97223, 323, 7330, 22012, 1650, 433, 330, 911, 2070, 3343, 3011, 596, 856, 17102, 11, 539, 16645, 596, 13, 42669, 11, 16645, 5900, 4726, 323, 2795, 430, 279, 2944, 814, 54244, 279, 597, 1786, 12, 3864, 374, 1606, 330, 20670, 1051, 11005, 430, 5115, 42762, 8434, 956, 617, 17454, 459, 6776, 12660, 775, 1210, 358, 7655, 11, 1578, 13, 8847, 1543, 53312, 2216, 25587, 13, 1628, 779, 1550, 1455, 315, 1124, 13, 49374, 709, 11, 814, 1120, 1550, 13, 763, 51841, 11, 28653, 1543, 374, 330, 606, 315, 279, 1455, 11782, 1274, 358, 3077, 3596, 6575, 2212, 1, 323, 330, 258, 1063, 43666, 568, 596, 2751, 264, 2731, 2733, 369, 420, 2626, 1109, 5606, 358, 3077, 3596, 6575, 449, 498, 719, 7043, 28653, 1543, 11, 2795, 43684, 971, 544, 11, 374, 264, 73724, 323, 568, 3250, 956, 4510, 264, 3492, 430, 4131, 704, 315, 7043, 596, 11013, 13, 816, 6, 33134, 11, 279, 8592, 32241, 56232, 1436, 2343, 28653, 1543, 574, 330, 9326, 424, 3343, 622, 9574, 11621, 430, 7043, 1193, 15812, 330, 9493, 813, 11013, 374, 1825, 10246, 1966, 11641, 21116, 512, 27806, 358, 6688, 21739, 279, 21455, 430, 358, 3287, 956, 1781, 11641, 21116, 1047, 264, 2733, 369, 279, 2626, 21908, 16645, 374, 37883, 555, 622, 9574, 11, 889, 9711, 4339, 304, 813, 11013, 11, 323, 422, 420, 574, 1501, 70841, 11, 323, 17478, 51104, 1047, 813, 1648, 11, 499, 1436, 8454, 364, 5880, 6, 449, 364, 26301, 98044, 6, 323, 364, 33780, 6, 449, 364, 395, 4527, 16645, 11335, 433, 264, 2697, 810, 34616, 1109, 568, 4762, 1550, 304, 279, 2363, 11, 832, 22204, 11, 994, 568, 2795, 430, 11641, 21116, 330, 2201, 3488, 1131, 32345, 264, 2733, 369, 279, 36540, 2626, 304, 4689, 1, 719, 539, 369, 1405, 43684, 971, 544, 6612, 433, 330, 41917, 311, 733, 3343, 37746, 54, 4460, 311, 387, 312, 9910, 323, 9320, 3201, 505, 279, 330, 105270, 6456, 1131, 72867, 18455, 1, 430, 574, 11641, 25611, 85929, 18042, 41356, 13, 2684, 574, 264, 8389, 21063, 323, 330, 906, 4460, 311, 2349, 430, 3343, 11641, 21116, 11, 1606, 315, 813, 3925, 11, 16645, 3463, 11, 1550, 539, 3619, 1268, 311, 1304, 430, 9320, 13, 10926, 11, 7344, 539, 627, 1966, 3658, 36715, 512, 84146, 279, 5039, 520, 16795, 574, 4460, 13, 13538, 1884, 2919, 11, 330, 1687, 4265, 2231, 709, 459, 25946, 11, 584, 3077, 617, 27219, 11, 36498, 11, 33517, 11, 53474, 36540, 9248, 304, 279, 3388, 315, 459, 11714, 11, 3815, 3116, 5672, 5922, 315, 12707, 323, 27219, 79125, 3243, 437, 1053, 1501, 709, 520, 25562, 579, 1210, 1283, 3463, 433, 574, 2731, 311, 656, 279, 1080, 34220, 287, 449, 16795, 11, 1606, 279, 10877, 11, 330, 49864, 814, 1051, 36540, 7359, 477, 539, 11, 520, 3325, 814, 1051, 50505, 11, 323, 520, 3325, 814, 1051, 12798, 6666, 311, 1148, 574, 2133, 389, 304, 279, 10264, 1210, 3053, 956, 18046, 449, 430, 13, 358, 3194, 53035, 11, 14243, 627, 1966, 16768, 28512, 512, 41, 9574, 17501, 3249, 16645, 16075, 449, 16768, 28512, 323, 6688, 1461, 279, 2363, 13, 362, 1695, 3488, 13, 330, 2181, 2643, 387, 1579, 389, 279, 1160, 315, 2574, 358, 37287, 358, 8434, 956, 617, 2884, 11, 5115, 42762, 1210, 12838, 1475, 4892, 3778, 36540, 66642, 2019, 364, 84270, 42762, 6, 3596, 1023, 11914, 11, 477, 374, 433, 757, 30, 43684, 971, 544, 82060, 279, 3351, 5605, 568, 574, 50440, 704, 315, 6848, 11, 902, 374, 6555, 26360, 13, 10425, 8964, 56232, 706, 1027, 2533, 279, 27525, 279, 41841, 14, 13379, 800, 8512, 86824, 1303, 9392, 13, 330, 4599, 16768, 34672, 11, 16768, 374, 832, 315, 279, 1455, 11782, 1274, 358, 3077, 3596, 1027, 449, 1210, 1115, 3250, 956, 3152, 568, 574, 279, 1888, 1069, 35627, 11, 323, 10811, 10425, 11, 574, 568, 3596, 539, 11, 719, 22371, 13, 3011, 596, 3249, 627, 1966, 279, 5377, 8602, 593, 2239, 512, 1548, 3287, 956, 617, 459, 1825, 78110, 2239, 13, 330, 4897, 596, 701, 21063, 1210, 507, 2319, 11, 272, 23758, 11, 719, 358, 13452, 0, 1283, 54466, 3585, 704, 430, 994, 568, 927, 91453, 279, 7677, 315, 20005, 433, 574, 264, 17510, 42117, 3610, 18160, 264, 1060, 5784, 13490, 5899, 3610, 13, 622, 9574, 4131, 1203, 5605, 430, 1606, 814, 1051, 6007, 2262, 433, 330, 97849, 956, 5030, 1148, 814, 24465, 3343, 578, 34538, 2883, 1584, 374, 2216, 11, 2216, 5108, 1555, 3831, 1618, 13, 1115, 374, 279, 1890, 2463, 375, 56232, 574, 993, 11149, 1667, 4227, 994, 568, 574, 421, 5859, 1093, 264, 40530, 23065, 22493, 304, 9527, 430, 34131, 1047, 264, 19189, 27625, 323, 4934, 311, 2231, 1461, 704, 315, 2626, 13, 43684, 971, 544, 374, 25530, 3403, 264, 893, 311, 2115, 1521, 4860, 323, 1501, 279, 32677, 488, 315, 872, 48080, 30985, 13, 1283, 43446, 568, 1047, 311, 2543, 37746, 54, 2212, 1603, 568, 2751, 311, 83842, 279, 53101, 19107, 13, 8766, 36285, 1047, 2586, 304, 449, 264, 35381, 430, 16645, 330, 14724, 2543, 264, 11626, 3343, 1283, 19168, 5678, 1176, 627, 1966, 6193, 14214, 287, 46037, 9438, 512, 39469, 27917, 445, 59520, 2163, 37746, 54, 568, 574, 3339, 304, 13937, 315, 4330, 7895, 16579, 11441, 264, 1060, 11, 568, 3782, 311, 34538, 311, 7417, 813, 6020, 6671, 11, 539, 311, 1935, 2753, 3300, 13, 2100, 433, 596, 539, 1093, 358, 2846, 279, 1193, 1732, 889, 7318, 27917, 445, 59520, 810, 1109, 568, 574, 5922, 1210, 507, 30593, 0, 469, 835, 8871, 11, 84130, 2152, 0, 2418, 11, 3249, 374, 43684, 971, 544, 779, 1790, 810, 1664, 23032, 1713, 323, 4062, 389, 813, 7693, 1109, 80928, 30, 3277, 16645, 7263, 27917, 1203, 11, 568, 7318, 1461, 264, 19983, 315, 1148, 568, 574, 28744, 304, 34538, 11, 323, 264, 19983, 315, 1148, 568, 1047, 8767, 15662, 304, 37746, 54, 13, 358, 1550, 539, 1440, 430, 13, 27917, 2646, 17948, 757, 439, 279, 955, 311, 1935, 264, 6140, 389, 264, 2466, 4623, 927, 18608, 258, 6, 279, 2466, 8515, 13, 16645, 3585, 704, 430, 568, 1511, 27917, 311, 7195, 50616, 299, 11, 323, 2216, 11, 430, 596, 5115, 4495, 13, 578, 10988, 315, 445, 59520 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 63507, 374, 264, 2466, 13438, 369, 682, 315, 603, 11, 719, 433, 374, 1524, 810, 3062, 369, 1884, 449, 36801, 13, 23338, 449, 682, 21522, 315, 6975, 5435, 11, 2737, 8982, 323, 5222, 32174, 11, 439, 1664, 439, 2911, 14892, 449, 10758, 4819, 1205, 810, 1109, 1120, 264, 14595, 917, 304, 2015, 311, 617, 2680, 311, 6975, 627, 2520, 1521, 6980, 11, 439, 1664, 439, 872, 6699, 323, 13639, 11, 1690, 13707, 3782, 449, 8056, 7526, 430, 499, 1436, 5268, 505, 13, 15483, 8522, 1520, 1124, 21953, 3674, 323, 10758, 7512, 11, 4048, 922, 279, 1917, 2212, 1124, 11, 3237, 5694, 30820, 323, 4048, 1268, 311, 10737, 311, 682, 21522, 315, 15082, 627, 18433, 279, 3966, 315, 682, 2911, 6904, 389, 279, 28353, 814, 7831, 505, 11, 584, 6773, 311, 6859, 1057, 3432, 753, 1160, 1139, 2380, 13, 1226, 690, 1176, 5357, 389, 8982, 323, 5222, 50160, 6980, 11, 323, 1243, 3137, 922, 10721, 369, 81391, 6305, 323, 5616, 4358, 922, 279, 2671, 369, 279, 810, 4689, 27404, 315, 6975, 36801, 627, 11800, 449, 39841, 11628, 801, 7462, 954, 198, 57789, 505, 17855, 535, 23508, 11, 279, 5277, 1609, 75791, 3851, 374, 1949, 311, 4232, 505, 279, 13323, 3637, 323, 29076, 1455, 16433, 7766, 430, 1005, 2373, 220, 20, 13, 15, 477, 264, 26627, 832, 13, 1102, 5829, 8381, 26076, 323, 23387, 7640, 311, 1520, 701, 1716, 6725, 10578, 304, 264, 3492, 477, 11914, 627, 2181, 5829, 264, 6617, 2955, 323, 1217, 22658, 3834, 1418, 433, 6209, 9722, 430, 4639, 499, 1268, 311, 12722, 19126, 31044, 279, 1054, 339, 9520, 1054, 88, 9520, 1054, 86, 863, 323, 1054, 71, 863, 10578, 13, 1102, 374, 5423, 10968, 389, 5370, 5222, 58943, 323, 5315, 323, 649, 387, 1511, 304, 7411, 315, 220, 19, 4236, 627, 2028, 917, 649, 387, 1511, 555, 2512, 2427, 1986, 15716, 814, 1390, 311, 8891, 279, 18637, 389, 264, 1716, 13, 1102, 6276, 1124, 311, 6667, 828, 323, 3335, 279, 7899, 315, 279, 10585, 304, 2015, 311, 9616, 433, 449, 279, 1648, 264, 3492, 1288, 5222, 13, 763, 5369, 311, 430, 11, 4395, 649, 387, 6924, 1139, 459, 17057, 3197, 2737, 1855, 5575, 753, 836, 323, 2038, 627, 16179, 1063, 1518, 433, 439, 459, 38281, 917, 11, 279, 32171, 3851, 374, 13524, 264, 6945, 9473, 1887, 13, 1102, 4375, 389, 16433, 323, 8682, 7766, 11, 323, 433, 374, 12514, 311, 2911, 3515, 8982, 5435, 13, 1102, 374, 14268, 14791, 369, 6980, 449, 6419, 28439, 11, 12943, 6978, 11, 2536, 99156, 13616, 4236, 323, 81391, 6305, 627, 2028, 1648, 11, 279, 5507, 15714, 6980, 19570, 872, 3966, 323, 5435, 555, 1701, 5448, 4619, 315, 4339, 13, 1102, 37167, 1124, 311, 29235, 19570, 323, 1893, 23719, 2085, 3515, 311, 1005, 4339, 13, 2435, 1304, 2771, 311, 636, 16365, 555, 5127, 323, 4048, 502, 4339, 555, 1701, 279, 8381, 26076, 13, 2684, 527, 220, 1954, 5448, 2561, 520, 279, 4545, 11, 719, 4236, 649, 923, 872, 1866, 9364, 315, 872, 1866, 311, 1304, 433, 1524, 8831, 311, 19570, 627, 1688, 279, 1890, 892, 11, 3932, 649, 30174, 279, 5448, 304, 1162, 814, 3207, 11537, 449, 264, 2204, 836, 13, 578, 4339, 527, 1101, 2561, 304, 28830, 15823, 430, 2997, 6063, 11, 6498, 11, 15506, 11, 8753, 11, 43288, 11, 44780, 323, 35217, 13, 15281, 810, 922, 279, 8056, 4519, 315, 279, 32171, 917, 505, 279, 13323, 3637, 477, 279, 5195, 7199, 3997, 627, 56725, 449, 85546, 198, 8921, 10880, 555, 3234, 263, 276, 39841, 40143, 11, 39841, 449, 85546, 8779, 2911, 21953, 4221, 7512, 13, 1102, 4375, 439, 264, 8982, 15419, 5507, 323, 374, 4832, 369, 68616, 323, 6699, 889, 990, 449, 8982, 38025, 77267, 6980, 13, 85546, 374, 264, 15526, 11625, 8814, 430, 13912, 1124, 65550, 323, 6276, 1124, 311, 4822, 10968, 389, 279, 917, 627, 3947, 527, 5370, 11028, 315, 279, 5507, 5196, 1389, 832, 374, 10968, 389, 28664, 2987, 11, 2500, 832, 389, 62946, 11, 1070, 374, 2500, 917, 369, 1008, 87678, 11, 832, 369, 90938, 11, 439, 1664, 439, 10721, 369, 62119, 11, 864, 28536, 323, 1690, 3885, 13, 2435, 3207, 682, 2561, 369, 8682, 323, 16433, 18084, 323, 1397, 2373, 220, 17, 13, 18, 13, 18, 304, 279, 1162, 315, 279, 1176, 832, 1418, 220, 18, 13, 15, 374, 3403, 304, 279, 1162, 315, 279, 15629, 627, 63818, 369, 279, 917, 13592, 1990, 400, 17, 13, 1484, 369, 279, 62946, 2373, 323, 400, 1187, 13, 1484, 369, 279, 28664, 2987, 4580, 1847, 13, 4452, 11, 1070, 374, 1101, 264, 1949, 5507, 7086, 32833, 826, 449, 85546, 430, 33992, 701, 2911, 922, 21958, 13, 13596, 2853, 56009, 832, 374, 279, 8982, 15419, 5507, 16530, 369, 6699, 11, 13639, 323, 68616, 1389, 420, 832, 5764, 220, 24, 8056, 7526, 814, 1436, 1005, 627, 11800, 449, 78763, 14, 66511, 45635, 198, 32, 2697, 2204, 505, 1023, 10758, 7526, 584, 14000, 1603, 11, 602, 18461, 374, 11951, 6319, 369, 6980, 16066, 505, 38281, 477, 60745, 281, 60384, 13, 1666, 1202, 836, 13533, 433, 11, 420, 917, 374, 1193, 14791, 369, 7766, 4401, 389, 16433, 1418, 279, 2631, 2373, 374, 220, 19, 13, 18, 477, 3010, 627, 2181, 1193, 4131, 304, 6498, 11, 323, 433, 6276, 369, 2225, 6945, 323, 7899, 10758, 369, 701, 2911, 13, 1472, 649, 923, 701, 1866, 9364, 369, 2731, 3135, 1418, 499, 636, 311, 5268, 1990, 220, 508, 2204, 11306, 449, 279, 2539, 2373, 13, 578, 1949, 3072, 1193, 4131, 449, 220, 24, 11306, 11, 719, 499, 649, 6847, 14234, 311, 279, 11084, 832, 369, 264, 3428, 3430, 627, 70604, 505, 1694, 3025, 311, 923, 9364, 11, 499, 649, 1101, 923, 38140, 315, 701, 1866, 7899, 13, 1115, 1648, 11, 81391, 2911, 527, 21190, 311, 1005, 872, 12365, 7512, 13, 1102, 73633, 10758, 449, 2512, 2427, 1986, 1418, 433, 3727, 2771, 430, 701, 1716, 690, 2103, 1390, 311, 6604, 11, 1524, 422, 433, 2834, 1431, 2744, 387, 14268, 16365, 627, 10031, 13, 19898, 13, 15281, 627, 57789, 505, 31417, 63654, 11, 3580, 81040, 1236, 10326, 3727, 6975, 8831, 369, 81391, 6980, 555, 25935, 279, 13783, 7106, 8381, 7563, 449, 264, 4382, 4791, 25700, 3851, 13, 1102, 574, 21682, 439, 832, 315, 279, 1888, 220, 20, 10721, 369, 2911, 16066, 505, 10758, 5435, 11, 323, 433, 753, 2561, 304, 279, 13323, 917, 3637, 369, 1949, 627, 2181, 374, 2561, 304, 6498, 323, 4131, 449, 220, 17, 11, 1049, 23783, 430, 1051, 8040, 449, 35416, 11, 439, 1664, 439, 220, 19, 11, 3443, 2204, 5448, 311, 1005, 13, 1102, 649, 1520, 13639, 1893, 459, 27862, 5219, 315, 26350, 323, 18872, 430, 814, 649, 4600, 520, 264, 3010, 892, 627, 697, 71194, 16433, 348, 22, 13, 15, 11, 279, 917, 1101, 4375, 389, 77586, 7819, 11, 323, 433, 6835, 3932, 2539, 2680, 311, 279, 4029, 3549, 555, 31417, 63654, 13, 1115, 374, 1405, 499, 649, 6847, 4232, 502, 18872, 323, 4430, 701, 1866, 449, 1023, 3932, 13, 35802, 505, 430, 11, 433, 753, 1633, 4382, 311, 3839, 279, 828, 323, 15740, 315, 1855, 5575, 304, 701, 538, 627, 27414, 28582, 21275, 198, 791, 9983, 28582, 21275, 374, 264, 2363, 430, 4131, 449, 264, 3361, 3241, 10695, 6980, 449, 38281, 311, 1977, 3674, 7512, 13, 4452, 11, 814, 1101, 6051, 3549, 459, 3851, 430, 374, 1193, 2561, 304, 279, 13323, 9307, 369, 279, 4545, 13, 1102, 374, 1101, 19487, 311, 387, 2561, 389, 5195, 7199, 36113, 5246, 627, 34242, 6319, 369, 2225, 73165, 323, 77586, 7819, 11, 420, 5507, 3966, 16433, 348, 20, 13, 16, 13, 16, 304, 2015, 311, 734, 10489, 11, 323, 433, 7194, 400, 17, 13, 1484, 13, 1102, 6209, 21416, 6946, 323, 220, 717, 13761, 704, 315, 902, 220, 17, 527, 369, 61905, 388, 11, 220, 21, 369, 1884, 304, 36256, 2978, 11, 220, 17, 369, 6278, 2978, 477, 1579, 2978, 323, 279, 1023, 220, 17, 527, 14791, 369, 682, 6980, 627, 8538, 315, 279, 1925, 2574, 6980, 690, 4048, 527, 2324, 7512, 1418, 814, 690, 3619, 1268, 27607, 4375, 323, 4048, 311, 3619, 21958, 13, 35802, 505, 430, 11, 9200, 7422, 374, 21190, 323, 18254, 3674, 15082, 527, 1694, 1511, 439, 10507, 13, 763, 5369, 311, 1694, 2294, 369, 81391, 6980, 11, 433, 1101, 29076, 1884, 449, 6419, 28439, 11, 16191, 11, 1666, 716, 1414, 57496, 323, 17747, 33030, 31417, 66176, 627, 11800, 449, 21579, 98549, 198, 34242, 279, 1176, 2363, 311, 3596, 387, 5439, 369, 2911, 449, 6975, 36801, 11, 1901, 13184, 1389, 38916, 311, 6588, 1101, 4131, 449, 459, 3851, 13, 1901, 13184, 374, 264, 2697, 8334, 889, 574, 13524, 9405, 311, 2567, 389, 4401, 682, 279, 892, 13, 21347, 5042, 12153, 311, 3009, 7366, 11, 420, 10585, 374, 2133, 311, 19780, 701, 1716, 389, 264, 7029, 1396, 315, 32078, 627, 2181, 4131, 449, 1450, 1773, 68668, 9364, 323, 2294, 4731, 304, 279, 4092, 11, 323, 1855, 2363, 14564, 264, 502, 49648, 315, 1884, 889, 1051, 29704, 449, 1778, 36801, 13, 11699, 16358, 2955, 15714, 499, 19336, 1901, 13184, 753, 5039, 323, 3351, 1023, 6302, 555, 4382, 18916, 5859, 279, 3113, 315, 701, 3756, 627, 791, 6913, 2373, 315, 279, 917, 7194, 400, 17, 13, 1484, 323, 574, 3549, 369, 16433, 11, 23537, 2373, 220, 20, 13, 15, 477, 264, 26627, 832, 315, 279, 1890, 10565, 1887, 13, 578, 1890, 5507, 1101, 4131, 449, 264, 3544, 1396, 315, 3953, 369, 1054, 15824, 3361, 6980, 9520, 439, 814, 1650, 1124, 13, 4314, 2997, 3953, 430, 4639, 1124, 922, 16024, 430, 636, 701, 1716, 1511, 311, 28900, 7645, 627, 5159, 37310, 16992, 374, 459, 917, 430, 574, 3549, 555, 279, 2748, 315, 264, 1716, 449, 3361, 3966, 13, 58733, 7041, 1148, 311, 1427, 369, 11, 279, 16131, 3782, 449, 264, 4856, 11646, 719, 2294, 5507, 369, 6699, 323, 2512, 2427, 1986, 13, 1102, 374, 2561, 369, 400, 1484, 13, 1484, 304, 279, 13323, 9307, 11, 439, 1664, 439, 389, 5195, 7199, 323, 29076, 1455, 7766, 1701, 1521, 10565, 6067, 627, 34242, 2561, 304, 24113, 11, 44780, 11, 6498, 11, 8753, 11, 37366, 11, 15506, 11, 15155, 11, 33084, 323, 8620, 11, 420, 5507, 6276, 499, 311, 1005, 2835, 11, 439, 1664, 439, 7397, 11, 5222, 323, 1495, 311, 19570, 13, 1102, 33992, 6980, 922, 70570, 11, 5627, 315, 37810, 872, 3966, 11, 439, 1664, 439, 2978, 28198, 627, 644, 5369, 311, 430, 11, 433, 374, 1457, 264, 2763, 8831, 369, 701, 1716, 311, 3237, 5678, 323, 1304, 433, 4228, 369, 5127, 311, 3619, 1461, 13, 6104, 433, 574, 15453, 8040, 369, 264, 1716, 16066, 505, 452, 1435, 28439, 11, 279, 1890, 3851, 649, 387, 1511, 369, 904, 955, 477, 6975, 28353, 627, 2028, 917, 37167, 701, 1716, 311, 3350, 922, 5678, 323, 813, 1866, 16024, 13, 26848, 1109, 1120, 1701, 5448, 477, 4382, 32847, 311, 19570, 11, 420, 1648, 2911, 649, 1101, 21953, 4477, 7512, 13, 15483, 18000, 527, 7718, 369, 264, 11469, 1716, 430, 3966, 311, 656, 1664, 304, 2978, 627, 29132, 1027, 15109, 555, 8325, 304, 279, 1054, 15495, 6975, 863, 5699, 11, 420, 5507, 1193, 7194, 400, 17, 13, 1484, 323, 7612, 8187, 16433, 348, 19, 13, 18, 13, 40991, 449, 459, 15155, 323, 264, 8753, 2373, 11, 602, 8144, 24390, 15714, 701, 1716, 1514, 323, 4048, 520, 279, 1890, 892, 13, 2052, 1070, 3966, 311, 387, 2884, 374, 1520, 4491, 13, 75204, 6667, 439, 1690, 3585, 439, 3284, 555, 43476, 1461, 311, 4128, 279, 6661, 499, 4070, 1027, 4691, 311, 627, 2367, 26372, 3250, 1431, 617, 311, 387, 264, 5107, 3245, 311, 656, 14926, 13, 2876, 1524, 369, 1884, 6980, 16066, 505, 6975, 36801, 13, 11361, 311, 279, 1648, 420, 1847, 374, 34030, 11, 433, 649, 1101, 1520, 701, 52335, 636, 11537, 449, 43529, 13, 15281, 810, 922, 420, 5507, 505, 279, 4033, 2027, 2199, 389, 13323, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 46023, 85034, 8569, 8050, 477, 37303, 597, 10196, 320, 46023, 43379, 96265, 74, 3675, 705, 1101, 3967, 439, 29465, 30528, 304, 83871, 13, 1102, 374, 264, 11495, 73348, 323, 1790, 27578, 2111, 8620, 1561, 9941, 40459, 304, 28796, 323, 21181, 13, 36769, 597, 10196, 323, 29465, 30528, 5042, 3445, 1054, 54310, 13339, 863, 53007, 311, 21706, 8050, 13, 1102, 374, 1554, 70981, 11, 82688, 323, 11427, 414, 88, 13, 9176, 1274, 6646, 37303, 597, 10196, 311, 387, 279, 19214, 2254, 40459, 6957, 279, 1060, 304, 2225, 28796, 323, 21181, 13, 1556, 16781, 1584, 315, 1274, 14614, 7325, 709, 4994, 1690, 5526, 37303, 597, 10196, 36974, 20021, 2391, 8620, 1561, 9941, 47674, 13, 1115, 374, 8994, 279, 65242, 3430, 4877, 2391, 420, 892, 315, 279, 1060, 13, 507, 198, 791, 14595, 11363, 369, 90215, 988, 2997, 12290, 11, 25349, 11, 13465, 11, 779, 7911, 19737, 11, 20228, 13378, 11, 4330, 42786, 17138, 323, 7795, 19737, 13, 1789, 856, 38455, 1949, 37303, 597, 10196, 11363, 11, 358, 1097, 1701, 36167, 1332, 346, 439, 856, 1925, 25795, 13, 3092, 90215, 1037, 14293, 527, 38455, 1949, 3177, 29839, 19737, 11, 38455, 1949, 2004, 11600, 893, 285, 11, 38455, 1949, 297, 22604, 19737, 13, 12623, 12290, 11, 5015, 4251, 25349, 11, 13465, 11, 7795, 19737, 11, 92223, 5707, 11, 11298, 9235, 559, 5515, 323, 4330, 42786, 17138, 13, 763, 5369, 11, 358, 1511, 26828, 439, 2840, 6795, 369, 279, 37303, 597, 10196, 13, 1115, 11363, 374, 1101, 14095, 1949, 11, 34479, 1949, 11, 19151, 1949, 11, 10184, 1949, 323, 38291, 13465, 1949, 627, 13730, 315, 8620, 85034, 8569, 8050, 320, 33, 587, 735, 10196, 340, 791, 6371, 315, 37303, 597, 10196, 30105, 682, 279, 1648, 1203, 311, 14154, 5734, 11, 11951, 279, 18561, 5654, 315, 63370, 1122, 17271, 13, 9393, 315, 46941, 315, 19542, 11, 36167, 477, 13339, 574, 459, 74164, 685, 2391, 430, 892, 13, 578, 4279, 6725, 574, 311, 21813, 279, 13339, 4694, 1193, 369, 3361, 13402, 1093, 8620, 1561, 9941, 13, 36769, 597, 10196, 29414, 690, 16363, 3544, 9863, 315, 36167, 1139, 15792, 9863, 13, 1628, 1243, 3678, 3357, 1124, 304, 13465, 11, 12290, 11, 29839, 19737, 323, 49659, 13, 11359, 291, 555, 3805, 1773, 28609, 323, 28520, 30205, 389, 264, 4106, 1787, 627, 16397, 279, 12172, 315, 96265, 74, 3675, 1274, 505, 279, 63370, 1122, 17271, 311, 279, 80240, 13597, 1354, 1299, 320, 3409, 2663, 28796, 570, 2435, 7263, 449, 1124, 420, 61353, 2826, 323, 30464, 37303, 597, 10196, 311, 7937, 279, 2254, 58172, 3141, 29088, 13, 2435, 4394, 37303, 597, 10196, 36680, 927, 264, 61203, 4027, 304, 28796, 323, 21181, 13, 4740, 3805, 1773, 28609, 11, 37303, 597, 10196, 706, 264, 1554, 564, 1291, 12945, 323, 36263, 10769, 1430, 439, 1664, 627, 4266, 315, 8620, 85034, 8569, 8050, 320, 33, 587, 735, 10196, 340, 3947, 527, 1403, 1925, 4595, 315, 37303, 597, 10196, 304, 2225, 28796, 323, 21181, 11, 32125, 48715, 36167, 323, 94927, 36167, 13, 35139, 388, 1304, 279, 48715, 36167, 8205, 505, 86015, 36167, 9863, 505, 264, 2653, 12143, 315, 13339, 13, 5832, 287, 304, 264, 16025, 323, 11292, 10651, 13, 578, 94927, 36167, 8205, 706, 810, 50127, 323, 374, 810, 28682, 13, 1102, 374, 1176, 1903, 555, 46620, 323, 52139, 6147, 279, 94927, 36167, 1139, 52524, 35354, 323, 3678, 15846, 1603, 1099, 9585, 13, 1226, 649, 6847, 46113, 279, 94927, 36167, 2373, 520, 2162, 627, 43934, 17868, 11, 30282, 4662, 36769, 597, 10196, 9863, 304, 279, 6211, 315, 8776, 9518, 25112, 13, 2030, 6617, 27339, 2997, 1054, 98335, 16652, 863, 320, 9181, 261, 26432, 8, 6211, 11, 4851, 6211, 323, 24623, 6211, 13, 2435, 1304, 279, 24623, 6211, 37303, 597, 10196, 1701, 597, 2868, 8248, 64, 477, 3776, 24623, 477, 91375, 36167, 13, 578, 26839, 315, 8518, 37303, 597, 10196, 6216, 374, 5115, 12314, 13, 4452, 11, 3432, 814, 527, 2212, 220, 17, 3906, 311, 220, 18, 3906, 304, 26839, 11, 779, 430, 279, 13339, 374, 810, 28682, 323, 10479, 292, 1291, 13, 35139, 388, 1903, 8776, 36769, 597, 10196, 449, 36167, 48419, 2531, 4018, 13, 2030, 6617, 27339, 2997, 1701, 15193, 36167, 36517, 11, 16553, 11, 25309, 11, 39406, 439, 264, 1401, 25795, 627, 49552, 28968, 811, 315, 8620, 85034, 8569, 8050, 320, 33, 587, 735, 10196, 340, 11663, 19018, 13339, 1511, 527, 37085, 11, 45405, 11, 67094, 718, 11, 991, 84, 11, 7795, 11, 550, 6513, 11, 80815, 323, 1524, 14425, 83774, 13, 36769, 597, 10196, 36974, 20021, 3085, 6617, 36680, 13, 763, 5369, 11, 30249, 37303, 597, 10196, 1903, 449, 29839, 11, 1592, 375, 71, 323, 48251, 374, 1101, 2561, 13, 7089, 6617, 14293, 1511, 311, 47697, 279, 13339, 527, 37401, 72, 11, 30564, 323, 25349, 11, 296, 6181, 13, 386, 6181, 374, 264, 48351, 323, 1661, 7278, 87319, 1903, 505, 328, 718, 10602, 83804, 3035, 1540, 323, 59717, 25349, 13, 1666, 1664, 439, 62257, 62257, 19737, 320, 32, 48893, 24214, 753, 28929, 82515, 19737, 705, 16526, 56884, 14946, 11, 42609, 23182, 11, 20742, 1122, 11, 48506, 647, 81, 395, 11, 51992, 11, 31735, 11, 323, 17604, 13, 2435, 1524, 1304, 37303, 597, 10196, 449, 342, 1354, 833, 11, 7091, 13465, 26828, 11, 2579, 41580, 320, 1677, 53743, 8, 20228, 13378, 323, 48637, 24149, 12, 6798, 477, 14869, 1557, 68, 12, 6798, 627, 6854, 499, 13085, 279, 37303, 597, 10196, 46141, 3059, 304, 28796, 323, 21181, 27074, 763, 2144, 11, 37303, 597, 10196, 374, 779, 5526, 430, 814, 923, 433, 311, 1690, 1023, 43402, 323, 26863, 13, 1789, 3187, 11, 41951, 20228, 11, 55404, 1354, 11, 18266, 63092, 11, 88870, 11, 61777, 11, 8443, 11, 16385, 293, 11099, 11, 63452, 11, 57758, 11, 31452, 64866, 323, 44196, 282, 1018, 5153, 627, 43066, 562, 315, 85034, 439, 12369, 198, 47, 672, 374, 264, 2579, 13339, 323, 4131, 505, 279, 13018, 24623, 320, 78524, 13018, 355, 570, 578, 1948, 3646, 27073, 13339, 15603, 374, 36167, 13, 3161, 28137, 315, 24623, 33489, 5029, 682, 279, 1648, 1203, 311, 810, 1109, 220, 22, 11, 931, 1667, 4227, 320, 2636, 15, 18531, 570, 7648, 17037, 11, 584, 649, 8343, 36167, 30205, 11, 94927, 323, 34683, 13, 61695, 814, 14614, 1304, 36167, 1332, 346, 505, 36167, 17308, 320, 403, 31056, 8, 323, 7170, 505, 279, 52081, 36167, 78060, 13, 3277, 499, 7782, 864, 79255, 323, 864, 57610, 3359, 36167, 1332, 346, 11, 433, 374, 10213, 220, 5313, 4, 16025, 13339, 323, 220, 868, 4, 8834, 627, 27264, 701, 76194, 311, 5015, 7878, 36167, 369, 499, 779, 430, 499, 649, 14158, 1268, 1790, 8834, 499, 1093, 13, 1628, 499, 690, 636, 2731, 4367, 10651, 315, 94927, 36167, 13, 2435, 1304, 59986, 41327, 94927, 36167, 505, 17308, 36167, 323, 1063, 5066, 78060, 8834, 3779, 13, 1102, 706, 17715, 220, 914, 4, 311, 220, 966, 4, 8834, 7863, 311, 5912, 94927, 36167, 627, 79570, 37842, 26028, 323, 6401, 39195, 315, 85034, 386, 1736, 198, 13246, 682, 13339, 11, 36167, 374, 459, 9250, 2592, 315, 1579, 22867, 13128, 11, 449, 682, 11888, 7718, 42500, 33969, 13, 1666, 13128, 374, 369, 279, 6650, 323, 13709, 315, 701, 2547, 13, 85034, 374, 459, 9193, 9257, 2592, 315, 270, 5038, 483, 320, 55911, 8778, 426, 16, 705, 810, 1109, 25309, 323, 39406, 13, 763, 5369, 11, 36167, 374, 1101, 264, 1633, 1695, 2592, 315, 1063, 7718, 46192, 323, 34072, 13, 4314, 2997, 13080, 40488, 320, 55911, 8778, 426, 18, 705, 281, 13873, 3473, 292, 13935, 320, 55911, 8778, 426, 20, 705, 28170, 426, 717, 11, 33088, 30969, 11, 323, 49601, 13, 24296, 11, 36167, 374, 264, 1695, 2592, 20735, 1073, 75, 35716, 320, 55911, 8778, 426, 17, 705, 523, 22671, 11, 4611, 1907, 5241, 483, 320, 55911, 8778, 426, 21, 705, 37045, 323, 62275, 627, 1966, 279, 4459, 11, 2890, 7720, 315, 36167, 1253, 2997, 512, 12, 11736, 10519, 9498, 16124, 3148, 280, 12, 65184, 16124, 5178, 280, 12, 18042, 1295, 16124, 6650, 280, 12, 9365, 9498, 8792, 23418, 1887, 280, 12, 34507, 279, 2547, 753, 22852, 1887, 280, 12, 38505, 304, 279, 5788, 315, 2579, 6680, 7917, 26, 323, 198, 12, 54349, 304, 279, 5788, 315, 44315, 627, 46023, 85034, 8569, 8050, 320, 33, 587, 735, 10196, 340, 12, 220, 16, 21647, 94927, 36167, 320, 5313, 4, 16025, 13339, 323, 220, 868, 4, 50127, 340, 2520, 279, 64477, 1037, 512, 2520, 279, 8444, 6795, 512, 12, 220, 16, 62611, 40715, 198, 2520, 3678, 16252, 279, 36167, 512, 12, 47912, 279, 36167, 323, 279, 90215, 1037, 14293, 304, 264, 3544, 27890, 19763, 627, 12, 19771, 27461, 3156, 1664, 11093, 323, 279, 36167, 374, 28502, 627, 12, 18230, 449, 78264, 15411, 323, 1095, 279, 36167, 90215, 1037, 369, 220, 19, 4207, 477, 25402, 304, 279, 46044, 627, 2520, 46620, 323, 28915, 279, 36167, 512, 12, 5075, 20559, 24276, 311, 220, 8258, 34, 477, 220, 13679, 37, 627, 12, 24078, 279, 36167, 21655, 311, 264, 12829, 7363, 32393, 449, 28915, 5684, 627, 12, 58421, 398, 9041, 279, 36167, 21655, 449, 264, 63983, 5724, 13, 5112, 3504, 449, 264, 6710, 315, 78264, 15411, 477, 28915, 5684, 389, 1948, 323, 1005, 264, 2678, 20700, 9160, 311, 46443, 279, 13339, 311, 2212, 220, 17, 3906, 627, 12, 53174, 304, 279, 6278, 30759, 315, 279, 24276, 369, 220, 868, 4520, 13, 5112, 15884, 2543, 927, 323, 23360, 369, 2500, 220, 868, 4520, 13, 6914, 279, 13339, 7155, 1523, 627, 12, 12362, 264, 9979, 1156, 71450, 477, 23317, 62705, 11, 4018, 279, 13339, 1139, 701, 15236, 1404, 13, 358, 4018, 1139, 220, 19, 17560, 865, 220, 18, 17560, 9863, 627, 2520, 2840, 6795, 323, 28915, 279, 36167, 512, 12, 5075, 20559, 24276, 311, 220, 1049, 34, 477, 220, 3443, 37, 627, 12, 19771, 279, 26828, 323, 3090, 3871, 369, 2840, 6795, 627, 12, 11004, 279, 4018, 36167, 9863, 8800, 264, 50999, 32393, 12829, 7363, 13, 8444, 10033, 1855, 36167, 9863, 449, 279, 26828, 21655, 1701, 264, 9979, 15998, 627, 12, 53174, 304, 279, 8582, 30759, 315, 279, 24276, 369, 220, 20, 4520, 13, 36925, 2512, 539, 311, 8395, 279, 13339, 627, 12, 5112, 2543, 279, 36167, 927, 323, 2840, 10033, 449, 279, 26828, 21655, 1578, 13, 53174, 369, 2500, 220, 20, 4520, 627, 12, 9307, 304, 459, 264, 2154, 492, 5593, 304, 279, 46044, 369, 709, 311, 264, 2046, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 37440, 19703, 11887, 279, 57934, 3997, 311, 35883, 502, 3956, 323, 7224, 627, 37440, 19703, 11887, 264, 12514, 3997, 8604, 1444, 301, 884, 295, 677, 343, 695, 916, 11, 311, 3118, 279, 17357, 315, 9983, 33527, 11, 279, 5452, 311, 24564, 31120, 323, 872, 28198, 627, 791, 2883, 3940, 279, 4500, 315, 279, 1567, 6108, 8661, 5452, 6460, 19703, 8267, 18729, 627, 37440, 19703, 5900, 389, 11469, 9983, 33527, 5452, 11, 7999, 502, 79136, 5137, 323, 18899, 328, 2327, 33527, 627, 2520, 279, 5793, 2893, 4939, 73537, 11, 6460, 19703, 706, 8040, 264, 20413, 1887, 369, 5226, 8122, 17144, 13, 32255, 449, 2893, 4939, 67799, 1609, 9121, 11, 6460, 19703, 706, 11887, 279, 46935, 50596, 8375, 316, 323, 279, 5452, 311, 12896, 31009, 26396, 6460, 19703, 97331, 627, 37440, 19703, 706, 8308, 1202, 1176, 11040, 2447, 482, 264, 6505, 917, 369, 279, 15481, 8957, 22535, 372, 727, 10756, 18288, 8325, 627, 37440, 19703, 753, 8420, 3952, 279, 2132, 22643, 304, 328, 7476, 36082, 24893, 1567, 902, 3952, 2035, 304, 50088, 977, 258, 10481, 627, 51, 51172, 14800, 25, 6460, 19703, 706, 10487, 33215, 323, 13195, 31009, 5955, 369, 279, 34896, 64949, 68655, 5793, 62138, 47396, 26545, 3623, 2637, 12604, 320, 22809, 37670, 4390, 37440, 19703, 706, 11887, 279, 20776, 16675, 263, 96372, 31009, 2532, 369, 279, 31120, 315, 2893, 4939, 26608, 70, 63141, 627, 37440, 19703, 15160, 279, 14435, 315, 2893, 4939, 73537, 311, 8312, 7290, 82631, 323, 39608, 35, 30792, 14, 3812, 315, 7290, 16980, 15771, 627, 37440, 19703, 15160, 279, 28682, 5762, 555, 279, 90959, 5793, 549, 5997, 311, 8312, 279, 74847, 31009, 5452, 902, 690, 2187, 279, 5793, 311, 10739, 279, 13716, 47423, 2532, 627, 37440, 19703, 753, 1176, 23641, 2447, 5097, 1022, 1389, 279, 549, 3545, 8715, 315, 95794, 323, 11050, 706, 11887, 264, 502, 2532, 11, 49927, 39608, 35, 449, 279, 2082, 315, 2680, 311, 872, 2930, 6201, 627, 37440, 19703, 18911, 279, 502, 2027, 20136, 2737, 4848, 2027, 5238, 25, 18729, 11868, 11, 4961, 55876, 11, 13313, 6328, 11, 16147, 21460, 11, 1883, 29935, 323, 84333, 16675, 1242, 97842, 13652, 2474, 627, 37440, 19703, 8068, 27772, 1664, 304, 279, 8871, 33063, 220, 679, 20, 11, 11230, 279, 2132, 2035, 627, 37440, 19703, 38175, 264, 502, 2930, 34631, 1887, 369, 279, 21187, 5794, 5793, 24929, 64655, 627, 37440, 19703, 3727, 1202, 17755, 520, 279, 8871, 33063, 220, 679, 19, 627, 37440, 19703, 15160, 279, 28682, 5762, 555, 735, 5997, 311, 8312, 1202, 63410, 18729, 17916, 627, 37440, 19703, 3940, 279, 4500, 315, 502, 3956, 482, 50596, 6460, 19703, 19294, 4949, 11, 16924, 2532, 13528, 69605, 323, 13716, 30226, 1366, 606, 627, 37440, 19703, 8638, 4642, 8661, 315, 1202, 49927, 2532, 39608, 35, 9483, 1136, 627, 37440, 19703, 8638, 279, 4500, 315, 1202, 502, 34631, 1887, 627, 37440, 19703, 19786, 1202, 1176, 6505, 10721, 1389, 13716, 9359, 369, 3729, 6352, 6373, 11, 323, 13716, 22103, 13788, 439, 264, 4443, 6505, 5274, 627, 37440, 19703, 12195, 279, 5226, 311, 3242, 1133, 39608, 35, 27640, 369, 279, 5793, 386, 10155, 19278, 627, 37440, 19703, 48782, 279, 1176, 4984, 315, 9983, 33527, 5452, 11, 902, 374, 279, 2883, 753, 1176, 6295, 2956, 2027, 304, 279, 20136, 627, 37440, 19703, 22890, 389, 1202, 5133, 449, 279, 21187, 5794, 5426, 5793, 24929, 64655, 11, 323, 5280, 502, 6505, 650, 1950, 15771, 323, 3600, 369, 279, 5793, 627, 37440, 19703, 9221, 8427, 369, 279, 53694, 5660, 17229, 1147, 5377, 304, 10034, 15840, 11, 279, 5569, 323, 27649, 315, 902, 1304, 279, 1567, 264, 2539, 89955, 315, 279, 4435, 753, 5377, 902, 374, 311, 387, 5762, 304, 50088, 977, 258, 10481, 304, 220, 679, 19, 627, 37440, 19703, 18911, 264, 502, 31009, 5955, 4984, 449, 1202, 6460, 19703, 31009, 5955, 220, 20, 13, 15, 198, 37440, 19703, 45695, 279, 4500, 315, 1202, 6460, 19703, 39608, 35, 27640, 220, 18, 13, 15, 627, 37440, 19703, 38175, 264, 24007, 311, 7068, 6848, 369, 279, 46835, 315, 502, 3217, 323, 9886, 315, 315, 459, 18699, 4676, 304, 279, 2883, 627, 37440, 19703, 8638, 279, 4500, 315, 279, 502, 2027, 6460, 19703, 90898, 627, 37440, 19703, 38175, 6460, 19703, 2467, 6531, 5452, 311, 7431, 6505, 13172, 627, 37440, 19703, 48782, 279, 8308, 14028, 315, 459, 17244, 49, 1887, 369, 279, 36074, 22506, 6522, 11325, 4940, 5793, 8927, 48904, 627, 37440, 19703, 7376, 279, 9954, 315, 279, 2883, 753, 312, 13781, 287, 13, 578, 57934, 6883, 706, 1027, 10666, 520, 46069, 6625, 1217, 10017, 31922, 6460, 19703, 11, 304, 17442, 627, 37440, 19703, 5097, 961, 304, 1054, 34, 14710, 220, 1049, 15, 12, 679, 15, 25, 362, 12040, 389, 279, 3799, 1037, 9520, 264, 3772, 2447, 38178, 311, 63179, 279, 4500, 315, 279, 8690, 60505, 82, 3157, 11, 323, 65585, 279, 1934, 315, 1202, 69376, 323, 33997, 389, 279, 12514, 24007, 3549, 555, 356, 14710, 627, 37440, 19703, 22890, 389, 1202, 5133, 449, 279, 21187, 5794, 5426, 5793, 24929, 64655, 13, 763, 220, 679, 15, 11, 279, 5220, 8667, 264, 5226, 311, 9407, 33215, 8824, 315, 279, 34631, 1887, 10487, 520, 279, 5793, 753, 4009, 627, 37440, 19703, 706, 10666, 1202, 502, 2027, 20136, 2737, 3116, 2027, 5238, 25, 84333, 16675, 1242, 11, 74270, 11, 5273, 12, 19897, 8471, 323, 9359, 9577, 627, 37440, 19703, 5990, 709, 304, 6130, 4398, 449, 279, 14028, 315, 1202, 34631, 1887, 369, 279, 5793, 15064, 4026, 13, 763, 279, 1566, 2380, 1667, 11, 279, 2883, 706, 10487, 1202, 6067, 304, 220, 845, 15481, 23962, 315, 279, 60505, 82, 5793, 627, 37440, 19703, 21879, 264, 502, 8907, 16125, 369, 1202, 6460, 19703, 73550, 744, 627, 37440, 19703, 75651, 311, 2274, 17320, 449, 1202, 6444, 323, 38175, 279, 13166, 14756, 6460, 19703, 5421, 627, 37440, 19703, 706, 8040, 264, 502, 2027, 369, 60505, 82, 20197, 482, 6460, 19703, 12093, 6605, 2956, 1398, 73931, 11, 421, 292, 374, 49798, 449, 279, 502, 8670, 315, 36370, 4940, 369, 279, 40395, 2434, 1170, 10537, 1862, 627, 37440, 19703, 15160, 5210, 753, 14130, 369, 356, 7244, 8717, 304, 279, 9983, 33350, 369, 1202, 2068, 311, 1862, 8871, 4236, 323, 3995, 35416, 304, 3241, 15009, 902, 279, 2883, 3940, 304, 220, 1049, 19, 13, 6460, 19703, 706, 30638, 220, 23, 59284, 927, 1521, 1667, 627, 37440, 19703, 5280, 1202, 34631, 1887, 304, 279, 21187, 5794, 11325, 4940, 5793, 15432, 10155, 627, 37440, 19703, 39671, 14031, 4505, 24686, 5452, 311, 7431, 34284, 4628, 315, 31009, 63110, 1242, 35, 19169, 449, 9434, 6067, 627, 37440, 19703, 21879, 5165, 7839, 14724, 17768, 97227, 691, 304, 279, 29804, 1054, 33801, 323, 6625, 20862, 315, 18699, 3241, 10105, 113068, 37440, 19703, 38175, 264, 502, 3544, 13230, 2447, 311, 4685, 279, 34631, 1887, 304, 279, 220, 18, 38, 4009, 315, 279, 5793, 15064, 4026, 13, 578, 6425, 690, 387, 10487, 439, 961, 315, 279, 5793, 753, 2068, 311, 74421, 1202, 15481, 72202, 323, 1893, 14113, 2532, 10886, 627, 37440, 19703, 9221, 264, 23759, 8427, 315, 60350, 28163, 77682, 569, 627, 37440, 19703, 49193, 220, 605, 1667, 304, 2626, 323, 5900, 389, 627, 37440, 19703, 9221, 7573, 36542, 32413, 315, 5210, 627, 37440, 19703, 3871, 449, 279, 5793, 39616, 278, 10118, 68655, 38175, 279, 20207, 5452, 2006, 12, 17745, 323, 650, 1950, 3196, 389, 433, 627, 791, 2447, 315, 6460, 19703, 73550, 744, 8292, 304, 220, 18, 38, 12, 2864, 10155, 4009, 315, 279, 67799, 1609, 5793, 426, 13052, 263, 57453, 3727, 433, 311, 279, 1620, 4883, 315, 279, 6625, 4435, 73550, 23488, 520, 279, 73550, 612, 8245, 9744, 15264, 12111, 220, 1049, 21, 304, 7295, 627, 37440, 19703, 10187, 279, 4948, 2035, 4315, 279, 20972, 315, 51707, 25579, 304, 75880, 323, 8524, 627, 37440, 19703, 9221, 832, 315, 8524, 753, 1176, 13707, 311, 4305, 264, 6485, 315, 34631, 323, 2532, 10105, 304, 264, 220, 18, 38, 4009, 13, 6460, 19703, 753, 3956, 617, 1027, 10487, 304, 279, 4009, 315, 279, 6522, 67799, 1609, 5793, 426, 13052, 263, 13716, 627, 37440, 19703, 22890, 389, 15664, 449, 279, 80708, 50, 1912, 323, 6617, 4861, 279, 2736, 10487, 31009, 323, 39608, 35, 19169, 369, 279, 11119, 6885, 5654, 20197, 5343, 304, 279, 1912, 627, 37440, 19703, 374, 5343, 304, 8524, 753, 7054, 220, 1041, 8871, 5220, 5918, 555, 33257, 29556, 9266, 11, 323, 374, 10212, 2132, 304, 279, 10959, 315, 279, 17229, 1147, 6522, 3241, 29629, 13, 6460, 19703, 19786, 9059, 9744, 744, 11, 264, 892, 57767, 2027, 520, 430, 892, 627, 37440, 19703, 8638, 279, 2068, 311, 1862, 8690, 8198, 323, 6873, 13, 578, 2883, 15870, 39701, 323, 10187, 5425, 20486, 3050, 5575, 25944, 11871, 323, 43682, 304, 15840, 11, 323, 2942, 4861, 264, 3388, 315, 46232, 1373, 555, 279, 2883, 753, 35416, 627, 37440, 19703, 16264, 304, 50088, 977, 258, 10481, 279, 1176, 31922, 6460, 19703, 1217, 10017, 369, 20197, 13, 5659, 430, 1060, 389, 11, 279, 1567, 9221, 9974, 13, 6460, 19703, 45695, 264, 3544, 13230, 2447, 311, 4305, 264, 6485, 315, 10105, 304, 279, 4009, 315, 264, 502, 23727, 99962, 5793, 11, 16762, 38342, 627, 37440, 19703, 9221, 279, 1176, 8690, 21390, 311, 7195, 459, 386, 4931, 5955, 304, 67799, 1609, 9121, 13, 578, 502, 2027, 15160, 304, 279, 29804, 7252, 1561, 5761, 220, 1049, 19, 520, 279, 1054, 83107, 13, 8871, 71964, 12111, 113068, 37440, 19703, 374, 7086, 279, 7808, 4315, 279, 17229, 1147, 323, 68600, 689, 3241, 13707, 304, 279, 5699, 11050, 315, 3998, 462, 16238, 4476, 323, 5000, 6108, 32625, 555, 279, 33257, 29556, 9266, 902, 706, 13375, 3495, 1139, 279, 18845, 323, 27949, 315, 279, 8871, 3157, 4500, 627, 37440, 19703, 9221, 4802, 48661, 315, 279, 2052, 85135, 5575, 33063, 1054, 59122, 287, 45004, 11, 22872, 288, 11, 15264, 323, 39810, 863, 449, 220, 868, 10, 27260, 7411, 627, 37440, 19703, 73550, 744, 706, 1027, 7086, 5761, 315, 279, 9941, 304, 279, 1054, 42172, 660, 73550, 15264, 863, 29804, 520, 279, 17244, 7327, 17997, 1054, 83107, 13, 8871, 71964, 220, 1049, 18, 113068, 37440, 19703, 12195, 279, 1176, 7637, 5226, 369, 279, 8312, 315, 279, 2539, 13230, 6485, 315, 3241, 10105, 369, 279, 67799, 1609, 68655, 5793, 426, 13052, 263, 13716, 627, 37440, 19703, 8638, 4642, 27501, 315, 279, 75880, 11987, 627, 37440, 19703, 40019, 279, 7447, 54920, 2539, 31608, 5452, 6460, 19703, 73550, 612, 12557, 10852, 323, 71420, 433, 304, 1690, 8690, 60505, 82, 14488, 627, 37440, 19703, 12195, 264, 12914, 15664, 9306, 449, 2006, 48904, 11, 279, 1917, 753, 6522, 8162, 79666, 21390, 627, 37440, 19703, 39671, 459, 31009, 5955, 369, 12640, 5119, 14488, 627, 37440, 19703, 22890, 389, 1202, 15664, 449, 80708, 50, 1912, 323, 12195, 17517, 369, 279, 8292, 315, 502, 33215, 3600, 627, 37440, 19703, 706, 1027, 7376, 13946, 304, 279, 28682, 311, 8312, 264, 43790, 34631, 1887, 369, 80708, 50, 5856, 627, 37440, 19703, 52956, 279, 54242, 315, 45218, 13, 29210, 15772, 884, 7327, 323, 39867, 12130, 258, 13716, 482, 1403, 20197, 505, 279, 8690, 13759, 6460, 1389, 3719, 1202, 6444, 13, 4740, 264, 83776, 1887, 706, 1027, 10487, 304, 39867, 12130, 258, 71964, 13716, 14488, 11, 279, 2883, 374, 3025, 311, 3810, 279, 3157, 449, 264, 502, 48998, 6883, 369, 264, 1912, 315, 83776, 4478, 6787, 13, 1115, 3135, 304, 459, 34150, 6650, 315, 279, 33215, 2385, 25, 433, 28815, 810, 1109, 11157, 304, 279, 1176, 220, 22, 4038, 1306, 279, 1176, 31120, 617, 1027, 22756, 627, 37440, 19703, 39671, 502, 33215, 2512, 6067, 627, 37440, 19703, 11705, 323, 2847, 9803, 279, 1176, 2373, 315, 6460, 19703, 73550, 744, 627, 37440, 19703, 2219, 34398, 264, 7899, 8232, 1887, 369, 279, 5793, 27930, 5859, 13584, 13716, 39810, 627, 37440, 19703, 39671, 323, 7177, 12557, 10852, 3070, 3956, 627, 791, 7342, 315, 6460, 19703, 13, 578, 3925, 12302, 304, 220, 2550, 22, 994, 832, 315, 279, 17229, 1147, 529, 1176, 6505, 20197, 1389, 549, 3545, 7164, 884, 1389, 10373, 264, 7899, 8232, 1887, 505, 872, 48888, 4885, 13, 578, 13985, 753, 4236, 21054, 279, 2015, 11, 323, 505, 1243, 389, 279, 2128, 315, 1093, 34423, 1274, 617, 1193, 832, 3245, 389, 872, 20663, 1389, 311, 1977, 264, 1579, 42357, 2626, 10968, 389, 60505, 82, 20197, 13, 2435, 2793, 682, 279, 3300, 814, 617, 15662, 1139, 279, 9886, 315, 6460, 19703, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 50444, 30129, 25, 4800, 264, 30064, 17916, 5380, 50444, 374, 264, 6685, 323, 2835, 55856, 3674, 3772, 5452, 430, 574, 3940, 304, 220, 679, 15, 555, 16768, 328, 599, 442, 13, 763, 220, 679, 17, 11, 433, 574, 19426, 555, 5690, 369, 400, 16, 7239, 13, 8876, 1243, 11, 433, 706, 15042, 33452, 11, 1457, 84744, 922, 220, 1041, 3610, 3932, 13, 763, 420, 45710, 11, 584, 690, 5357, 389, 279, 30129, 4668, 430, 574, 6004, 304, 220, 679, 21, 439, 264, 3048, 4719, 315, 56279, 753, 3446, 4668, 13, 578, 12432, 16768, 328, 599, 442, 11, 304, 2144, 11, 29786, 389, 420, 11, 5605, 430, 198, 46690, 23528, 682, 279, 6807, 1981, 1115, 4536, 1431, 922, 889, 36592, 2555, 13, 1115, 374, 922, 264, 3645, 11, 323, 1268, 499, 1935, 433, 311, 264, 4009, 323, 2231, 701, 1866, 12903, 389, 433, 2029, 48781, 328, 599, 442, 198, 7894, 3210, 11, 568, 1071, 430, 279, 30129, 4668, 4536, 1431, 264, 42329, 56279, 25885, 11, 719, 459, 8191, 25480, 3645, 430, 690, 387, 18306, 311, 1690, 6732, 13, 2100, 11, 449, 420, 42535, 11, 15714, 30963, 1139, 1268, 420, 4668, 36716, 311, 279, 16622, 315, 7829, 627, 50444, 753, 3932, 9575, 1690, 63334, 11, 719, 1063, 5505, 87259, 649, 387, 1903, 1990, 2606, 32331, 323, 2536, 1474, 484, 32331, 3932, 323, 872, 22639, 449, 279, 3446, 4668, 13, 4314, 1403, 5315, 6013, 22009, 994, 2728, 43749, 304, 872, 7493, 323, 1005, 872, 7493, 304, 10284, 2204, 5627, 13, 4452, 11, 358, 690, 5357, 389, 279, 4279, 278, 1385, 430, 3073, 4315, 3932, 1778, 439, 1148, 814, 1390, 311, 8895, 505, 872, 7493, 323, 1268, 872, 30994, 1684, 1124, 627, 11874, 315, 279, 1925, 36580, 1766, 505, 832, 4007, 369, 3932, 311, 1772, 389, 872, 7493, 1051, 21455, 6373, 323, 3674, 1862, 13, 3861, 1925, 6811, 1990, 14318, 753, 3446, 4668, 323, 279, 2800, 315, 279, 2816, 10168, 4725, 8158, 374, 279, 19569, 430, 7493, 617, 25, 220, 1187, 4207, 13, 1115, 3445, 430, 4205, 499, 1772, 311, 701, 3446, 690, 32153, 505, 701, 2759, 1306, 220, 1187, 4207, 13, 1115, 11705, 264, 1790, 810, 3118, 52373, 323, 42887, 11298, 369, 279, 2816, 1606, 701, 20723, 690, 1193, 1518, 433, 369, 264, 2875, 892, 11, 779, 279, 44461, 323, 38291, 7138, 315, 14318, 1587, 539, 2216, 15025, 311, 420, 4668, 13, 1115, 2225, 6276, 3932, 311, 387, 810, 2536, 86667, 519, 922, 1148, 814, 1772, 323, 1772, 810, 879, 2574, 430, 8881, 5694, 810, 27136, 13, 3161, 420, 810, 10978, 659, 5621, 45025, 11, 3927, 3932, 649, 1005, 279, 4668, 369, 810, 7524, 4442, 304, 21455, 323, 311, 47201, 1862, 369, 810, 3062, 11384, 279, 1217, 1253, 387, 264, 961, 315, 627, 4054, 4007, 1766, 430, 3932, 8541, 311, 1005, 872, 7493, 369, 21455, 6373, 13, 1115, 374, 279, 1180, 315, 4442, 701, 20723, 529, 39555, 315, 499, 3196, 389, 1148, 499, 2231, 389, 701, 3446, 13, 1115, 4131, 505, 279, 2144, 430, 7493, 527, 264, 1790, 810, 5933, 2035, 311, 1772, 810, 19433, 36185, 323, 1054, 1316, 304, 279, 2324, 863, 3772, 4245, 311, 1202, 42887, 323, 13643, 7138, 13, 3277, 499, 1427, 520, 4423, 753, 4725, 5510, 11, 499, 617, 13524, 2736, 19655, 430, 420, 374, 264, 41891, 11, 61243, 11, 323, 18797, 1427, 520, 264, 1732, 753, 2324, 13, 2435, 527, 9204, 499, 279, 22020, 430, 1903, 433, 3347, 5361, 51944, 323, 18094, 315, 38001, 13, 4452, 11, 994, 499, 1518, 4423, 753, 3446, 11, 433, 21881, 810, 311, 430, 1732, 753, 4725, 2324, 323, 11555, 323, 6299, 430, 814, 656, 539, 9615, 2512, 422, 1023, 1274, 1518, 13, 3161, 420, 810, 23222, 13340, 315, 832, 753, 9764, 11, 814, 649, 1005, 420, 311, 2349, 1148, 1274, 1781, 315, 1124, 810, 13750, 627, 14364, 1648, 430, 7493, 527, 1511, 527, 369, 3674, 1862, 13, 3277, 17437, 922, 4819, 430, 3932, 527, 3515, 304, 872, 6439, 477, 922, 8294, 4819, 430, 7958, 1274, 753, 6439, 11, 7493, 527, 264, 2294, 1648, 311, 16681, 449, 701, 20723, 323, 1501, 1148, 499, 2512, 922, 477, 1148, 499, 3207, 2133, 1555, 13, 8876, 1274, 8541, 311, 1772, 810, 32487, 4455, 389, 872, 7493, 11, 1790, 315, 279, 892, 1274, 1772, 922, 96322, 814, 527, 5496, 1555, 477, 4819, 430, 527, 28987, 1124, 13, 5112, 11, 449, 420, 42887, 6376, 3932, 529, 20723, 527, 810, 4461, 311, 6013, 323, 5662, 704, 311, 1520, 4856, 1109, 5042, 9236, 3347, 627, 8538, 1023, 40521, 430, 690, 387, 14407, 6957, 420, 4652, 527, 87333, 323, 9873, 13, 1226, 690, 1518, 1268, 1521, 3932, 1005, 7493, 22009, 323, 1268, 430, 22223, 2225, 1855, 1023, 323, 872, 20723, 627, 2170, 3932, 649, 1193, 1518, 1023, 3932, 529, 7493, 369, 220, 1187, 4207, 11, 420, 3727, 279, 15652, 315, 1884, 7493, 17235, 37015, 323, 5043, 65319, 13, 3277, 20705, 264, 3446, 11, 279, 1217, 690, 3060, 16681, 449, 433, 1314, 1243, 11, 477, 2646, 13, 1115, 11705, 1063, 7185, 5627, 304, 902, 9815, 649, 16681, 449, 279, 20723, 430, 1518, 872, 7493, 627, 4054, 315, 279, 1455, 7524, 1648, 311, 636, 14247, 11302, 505, 701, 20723, 374, 1701, 279, 7230, 4668, 13, 1115, 6276, 499, 311, 1893, 264, 832, 67515, 1403, 96877, 7230, 389, 701, 3446, 11, 1778, 439, 1054, 81134, 477, 19987, 863, 304, 902, 20723, 649, 3373, 832, 3185, 477, 279, 1023, 315, 279, 7230, 323, 1518, 279, 11668, 315, 11503, 430, 3885, 6688, 13, 1115, 374, 5423, 5505, 369, 9873, 323, 87333, 994, 4560, 311, 31990, 10877, 18463, 13, 1442, 459, 6791, 20099, 574, 4560, 311, 10491, 902, 28403, 1077, 20723, 1053, 1093, 2731, 11, 477, 902, 955, 315, 17895, 814, 1093, 11, 1243, 1364, 649, 5042, 1772, 459, 507, 1831, 35, 320, 412, 6410, 315, 279, 1938, 8, 12593, 6945, 323, 264, 4062, 7230, 13, 4314, 23925, 1935, 264, 2132, 311, 6013, 311, 11, 323, 3932, 1633, 57482, 4320, 1124, 13, 71190, 649, 1005, 433, 311, 636, 11302, 389, 3284, 2027, 6848, 11, 477, 31990, 28361, 369, 502, 8146, 1694, 6004, 477, 502, 32523, 315, 43402, 13, 1115, 374, 41390, 3187, 315, 1268, 279, 5788, 323, 15652, 315, 7493, 374, 99892, 13, 86650, 527, 2225, 35208, 279, 2038, 11, 719, 1101, 8405, 11302, 430, 57924, 279, 3446, 369, 279, 2759, 323, 3885, 627, 14364, 2294, 1648, 311, 16681, 449, 20723, 374, 1555, 279, 3488, 4668, 13, 15457, 29414, 649, 2231, 264, 3488, 449, 264, 1495, 3830, 369, 20723, 311, 2610, 4860, 430, 649, 387, 16846, 311, 13, 578, 4860, 323, 14847, 5101, 304, 12777, 306, 22245, 304, 279, 3446, 779, 430, 20723, 649, 1518, 682, 315, 279, 4860, 323, 14847, 430, 617, 1027, 4691, 779, 3117, 13, 1115, 374, 2500, 1648, 311, 636, 1695, 11302, 505, 20723, 389, 3738, 13650, 11, 477, 311, 5042, 3041, 20723, 264, 6140, 311, 38263, 4860, 477, 10742, 430, 814, 617, 13, 1442, 459, 6791, 20099, 6944, 311, 934, 616, 279, 40017, 304, 20723, 529, 20663, 922, 264, 2027, 11, 1243, 10917, 709, 459, 62803, 369, 20723, 311, 2610, 872, 4860, 449, 1695, 14847, 779, 430, 1023, 20723, 690, 1101, 617, 872, 4860, 19089, 13, 50487, 11, 369, 9873, 814, 649, 1005, 420, 311, 617, 20723, 21650, 3371, 1124, 279, 4519, 814, 4774, 922, 3956, 11, 1148, 2204, 3956, 814, 1053, 10932, 311, 1518, 11, 323, 4689, 11302, 389, 1268, 814, 1093, 279, 2883, 627, 4054, 1566, 7185, 4668, 430, 7493, 6782, 374, 279, 39620, 709, 4668, 13, 1115, 6276, 34899, 311, 2723, 264, 3738, 2199, 477, 3997, 311, 264, 3446, 15332, 555, 3515, 20723, 1054, 2332, 3527, 709, 863, 389, 279, 6945, 477, 2835, 13, 1115, 16264, 709, 279, 2723, 323, 649, 387, 5115, 5505, 304, 7231, 20723, 459, 14247, 5211, 311, 4048, 810, 922, 2555, 304, 264, 3446, 13, 1789, 3187, 11, 264, 2626, 649, 1772, 264, 7155, 2835, 922, 264, 502, 2027, 814, 617, 6004, 11, 1243, 994, 3932, 39620, 709, 389, 279, 3446, 433, 649, 1825, 709, 279, 2883, 2199, 311, 7782, 430, 2027, 11, 7231, 14553, 315, 2680, 311, 20723, 13, 4314, 6859, 44963, 11429, 323, 22639, 527, 1148, 1304, 7493, 264, 1695, 1648, 311, 6288, 16988, 449, 3932, 323, 2349, 1268, 814, 25024, 279, 3446, 11298, 627, 791, 7493, 4668, 2216, 18911, 5196, 439, 264, 810, 1510, 323, 42887, 22150, 369, 3772, 7863, 311, 279, 4725, 5510, 315, 8158, 13, 1115, 5510, 374, 6118, 29683, 315, 1664, 21110, 292, 3149, 9364, 315, 1579, 4367, 11, 9204, 1022, 279, 22020, 315, 1274, 753, 6439, 13, 1102, 5097, 264, 2763, 315, 990, 311, 733, 1555, 279, 1920, 315, 3339, 264, 1772, 25, 19301, 13711, 11, 264, 3813, 11, 79253, 1274, 11, 5099, 13, 1115, 374, 682, 304, 459, 5149, 369, 3932, 311, 5052, 304, 449, 279, 4689, 37637, 315, 14318, 439, 264, 1664, 55096, 3384, 2217, 5452, 13, 2684, 527, 11510, 315, 36595, 9204, 1148, 1274, 1427, 1093, 304, 1972, 2324, 6296, 13, 389, 14318, 11, 67908, 1120, 1268, 1790, 1274, 2349, 1268, 872, 7397, 5101, 1120, 311, 1427, 2731, 323, 5052, 304, 449, 3885, 389, 279, 5452, 13, 4452, 11, 7493, 4879, 311, 61705, 1521, 40850, 323, 2187, 369, 810, 42887, 323, 32487, 15223, 311, 387, 14407, 389, 13643, 8158, 627, 791, 6179, 2786, 323, 19502, 277, 1918, 315, 7493, 11705, 264, 2035, 1405, 3932, 527, 810, 4461, 311, 1772, 19433, 12970, 9364, 323, 922, 96322, 323, 4819, 814, 1253, 387, 13176, 13, 1115, 305, 847, 729, 1203, 311, 279, 67482, 315, 5690, 994, 2536, 1474, 484, 32331, 3932, 1053, 29011, 922, 279, 3544, 1396, 315, 69782, 9013, 311, 1217, 753, 21542, 1778, 439, 279, 2574, 814, 30912, 369, 16163, 477, 2555, 15526, 872, 4333, 1071, 13, 30129, 389, 14318, 374, 279, 4832, 2035, 311, 1772, 1778, 2574, 13, 763, 420, 1648, 11, 279, 2574, 430, 1274, 1772, 389, 872, 3446, 374, 2736, 4529, 439, 264, 810, 26569, 1427, 520, 4423, 753, 2324, 11, 439, 9932, 1603, 13, 24586, 311, 279, 2144, 430, 1274, 1518, 7493, 304, 264, 810, 69344, 3177, 11, 433, 374, 264, 2763, 8831, 369, 1274, 311, 1005, 872, 7493, 369, 6373, 315, 872, 2217, 323, 17444, 13, 23519, 35795, 11, 87333, 11, 323, 9873, 649, 5423, 1935, 9610, 315, 420, 555, 4832, 287, 279, 2217, 814, 3118, 311, 279, 586, 1418, 539, 3515, 311, 86562, 1274, 753, 35496, 449, 2753, 23222, 477, 2536, 43276, 11046, 4455, 627, 791, 7493, 4668, 374, 11, 439, 9932, 1603, 11, 264, 1790, 810, 42887, 1749, 315, 17437, 311, 14318, 13, 1115, 6276, 3932, 311, 8356, 1790, 2753, 58732, 323, 1022, 10826, 1824, 1386, 3772, 311, 387, 8621, 13, 4452, 11, 279, 15652, 323, 5788, 315, 7493, 527, 3629, 17791, 3871, 1555, 279, 13124, 315, 50396, 430, 649, 387, 9277, 389, 264, 3446, 13, 358, 617, 14407, 1521, 50396, 1603, 11, 779, 1518, 279, 87266, 3857, 369, 810, 16540, 389, 1268, 814, 527, 1511, 627, 2409, 279, 3488, 47277, 11, 20723, 649, 2610, 4860, 323, 617, 872, 3488, 323, 279, 4320, 12882, 2949, 264, 8821, 15332, 315, 430, 3446, 13, 1115, 374, 459, 3187, 315, 1268, 15652, 323, 5788, 527, 10815, 13, 578, 49307, 649, 2225, 1427, 520, 279, 3446, 323, 3493, 11302, 311, 433, 11, 1418, 17843, 810, 315, 279, 3446, 304, 2543, 13, 21815, 520, 279, 7230, 47277, 11, 420, 374, 2500, 3187, 315, 1268, 20723, 649, 2225, 25024, 323, 8356, 7493, 555, 9298, 1268, 1023, 1274, 617, 16846, 311, 279, 7230, 13, 1102, 1101, 1193, 5039, 279, 1510, 3135, 315, 279, 7230, 1306, 499, 4320, 11, 779, 279, 15652, 315, 433, 374, 539, 11754, 555, 3885, 13, 1115, 3169, 315, 3041, 9976, 2442, 731, 374, 459, 7718, 961, 315, 7493, 323, 961, 315, 1148, 6835, 1124, 264, 810, 32487, 2733, 13, 763, 264, 4725, 1772, 11, 279, 1193, 16628, 499, 649, 617, 374, 304, 279, 6170, 3857, 477, 555, 7231, 264, 1093, 13, 4452, 11, 1521, 527, 2225, 14580, 311, 279, 5150, 1772, 323, 656, 539, 1501, 709, 7389, 499, 1427, 369, 1124, 13, 3161, 7493, 11, 279, 22639, 430, 9815, 617, 449, 872, 20723, 374, 12882, 304, 279, 3446, 11, 779, 430, 20723, 527, 810, 4461, 311, 16681, 5694, 323, 2733, 1093, 814, 527, 23387, 810, 449, 279, 3772, 627, 93031, 279, 14318, 5452, 11, 1070, 374, 264, 4689, 19812, 5497, 315, 3932, 13122, 3772, 430, 814, 1505, 15538, 477, 33781, 13, 362, 1217, 649, 3060, 1934, 459, 4553, 2759, 11, 477, 264, 3254, 1772, 13, 1115, 374, 1101, 279 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 6161, 11188, 315, 279, 4892, 57227, 7935, 323, 57227, 21428, 59200, 198, 791, 3816, 11188, 315, 279, 4892, 374, 832, 315, 1193, 264, 2478, 3682, 36617, 304, 4892, 5270, 430, 6530, 10411, 13, 1115, 12992, 1202, 10683, 18197, 4754, 11, 1606, 12056, 304, 279, 18561, 2010, 99759, 315, 279, 58309, 3629, 99191, 1603, 12056, 304, 279, 18671, 5789, 11, 14718, 16557, 28555, 505, 52452, 14121, 332, 5548, 311, 72359, 449, 279, 18197, 73024, 389, 279, 3816, 11188, 13, 578, 10411, 1637, 6530, 315, 279, 15140, 1101, 3135, 304, 810, 10054, 20673, 5435, 1109, 1455, 10007, 1637, 36612, 36617, 3217, 13, 763, 5369, 11, 279, 3816, 11188, 374, 7559, 2949, 279, 7353, 11, 10269, 5740, 315, 2840, 33211, 11940, 4701, 395, 450, 11, 902, 706, 1193, 264, 23900, 10411, 1637, 31332, 13, 1666, 264, 1121, 11, 279, 1925, 19646, 323, 14121, 332, 661, 36617, 304, 279, 2840, 33211, 22553, 14733, 3158, 315, 279, 58309, 14134, 16891, 8800, 7353, 18197, 501, 1771, 627, 93387, 3785, 13980, 994, 3090, 505, 42830, 29933, 459, 3158, 520, 264, 4478, 49005, 279, 5613, 8824, 311, 6920, 430, 3090, 52452, 13, 57227, 26186, 12446, 994, 18197, 5990, 10205, 1579, 3403, 11, 477, 7293, 1317, 3403, 11, 311, 5353, 31959, 25949, 13, 57227, 26186, 304, 279, 3816, 11188, 61358, 617, 5343, 15748, 24693, 5674, 311, 879, 323, 586, 13077, 323, 14054, 11, 16781, 19641, 4814, 11, 3682, 12434, 53568, 11, 323, 4814, 315, 2324, 627, 8607, 61272, 617, 10222, 304, 279, 3816, 11188, 61358, 304, 12715, 3925, 13, 578, 30758, 9815, 527, 1766, 304, 8486, 10925, 315, 490, 28921, 323, 48539, 388, 7314, 304, 220, 10828, 19, 13, 17559, 61272, 617, 10222, 389, 279, 1925, 19646, 323, 14121, 332, 5548, 2225, 304, 279, 10683, 11, 4245, 311, 12056, 76, 3903, 323, 11422, 11, 323, 304, 279, 7474, 11, 4245, 311, 810, 44589, 8987, 62555, 13, 16758, 1154, 4245, 311, 39262, 617, 11, 389, 13402, 11, 1027, 54677, 13, 10541, 39262, 706, 1027, 264, 5933, 32659, 304, 279, 58309, 2533, 2840, 33211, 11940, 4701, 395, 450, 1421, 31035, 11, 279, 4754, 369, 5674, 7319, 449, 17516, 323, 17876, 13076, 11, 16036, 11, 323, 29149, 4500, 627, 7, 2520, 810, 2038, 389, 279, 3816, 11188, 315, 279, 4892, 17055, 36781, 323, 39262, 1518, 23822, 1741, 27766, 45231, 220, 605, 323, 220, 806, 29275, 791, 57227, 21428, 59200, 5664, 5856, 320, 37, 7842, 86016, 477, 5664, 5856, 8, 574, 13517, 14454, 304, 220, 2550, 23, 311, 2686, 4819, 5552, 311, 279, 4500, 315, 18197, 5674, 14278, 7224, 304, 430, 13651, 315, 279, 3816, 11188, 315, 279, 4892, 61358, 304, 19461, 13, 320, 10031, 1828, 3857, 6266, 6104, 49183, 430, 279, 17139, 10105, 311, 279, 18197, 5674, 323, 5933, 5211, 5435, 304, 279, 3816, 11188, 61358, 690, 1935, 264, 97666, 5149, 505, 1274, 6957, 279, 61358, 11, 279, 5664, 5856, 574, 14454, 311, 2686, 4819, 430, 527, 5016, 311, 19461, 13, 4452, 11, 279, 5664, 5856, 33095, 16781, 17320, 323, 38793, 449, 56043, 323, 11351, 6957, 279, 61358, 13, 1789, 3187, 11, 304, 220, 1049, 20, 11, 1403, 3697, 315, 279, 57227, 21428, 59200, 5664, 5856, 1101, 10434, 439, 10716, 77751, 369, 1023, 61358, 25480, 11351, 627, 791, 57227, 21428, 59200, 5664, 5856, 374, 539, 264, 26267, 65591, 2547, 323, 706, 912, 23331, 477, 11006, 11447, 13, 1102, 374, 459, 1008, 67490, 1912, 315, 7931, 14393, 6918, 11, 1614, 323, 2254, 17047, 11, 323, 2536, 46704, 278, 11351, 430, 3449, 54523, 1234, 264, 743, 315, 53579, 7378, 5304, 5015, 22746, 13, 578, 5664, 5856, 20628, 369, 279, 7580, 315, 66515, 279, 8292, 315, 279, 220, 2550, 23, 3344, 7246, 23314, 323, 3339, 19075, 311, 1023, 11527, 323, 56043, 2949, 279, 3816, 11188, 61358, 311, 430, 2515, 627, 791, 3816, 11188, 61358, 706, 10534, 16781, 58592, 323, 18197, 2585, 7640, 369, 1455, 315, 279, 3347, 220, 1041, 1667, 13, 4452, 11, 39262, 323, 5552, 17614, 58097, 617, 8738, 311, 55537, 279, 5654, 13, 12220, 279, 220, 2550, 15, 82, 1070, 1051, 21420, 91972, 1990, 92456, 27536, 323, 5211, 6373, 13607, 927, 279, 1455, 7524, 323, 3325, 57340, 40652, 5528, 311, 8108, 18197, 26186, 13, 4740, 279, 549, 815, 13, 13309, 31242, 315, 49796, 323, 19461, 6011, 315, 18955, 16607, 320, 6204, 27416, 8, 8308, 264, 10496, 12434, 5536, 5224, 389, 40944, 6372, 315, 18197, 2585, 7224, 304, 279, 61358, 304, 220, 2550, 21, 11, 279, 26654, 8813, 1202, 16557, 13, 53123, 11, 304, 3297, 220, 2550, 22, 11, 279, 19461, 47126, 19144, 11006, 369, 264, 1054, 4503, 367, 863, 1920, 311, 9006, 279, 42254, 9002, 12434, 6372, 315, 18197, 2585, 323, 311, 1464, 279, 5950, 1039, 22978, 1690, 502, 18197, 5674, 14278, 7224, 627, 31833, 358, 3344, 7246, 37357, 198, 13613, 7246, 23314, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 644, 6790, 220, 2550, 23, 11, 459, 9306, 311, 8108, 18197, 5674, 323, 7417, 5933, 5070, 304, 279, 19461, 13651, 315, 279, 3816, 11188, 61358, 574, 8813, 555, 24005, 315, 92456, 27536, 11, 1614, 323, 6918, 13607, 11, 12434, 11351, 11, 323, 879, 4363, 8281, 24005, 13, 578, 9306, 54299, 555, 420, 1912, 11, 3967, 439, 279, 57227, 21428, 59200, 5664, 5856, 11, 3984, 369, 264, 502, 40806, 5603, 311, 9293, 323, 25976, 2225, 18197, 5674, 14278, 323, 5933, 5211, 27886, 7224, 13, 5422, 5540, 315, 279, 9306, 527, 9539, 11054, 9021, 369, 2225, 18197, 14278, 323, 5933, 5070, 26, 16195, 92456, 9293, 26, 4216, 29173, 323, 20632, 4315, 682, 39210, 26, 323, 264, 48566, 5603, 311, 62174, 7224, 627, 791, 5664, 5856, 13912, 6574, 70022, 11, 902, 1160, 279, 6299, 4529, 323, 13650, 20669, 520, 5664, 5856, 16659, 13, 4452, 11, 1070, 527, 912, 16287, 4520, 315, 20954, 13, 2057, 1518, 279, 12399, 315, 264, 4040, 6574, 4299, 389, 832, 315, 279, 6574, 13003, 304, 420, 1160, 627, 791, 57227, 21428, 59200, 5664, 5856, 41013, 389, 264, 27766, 323, 38130, 45013, 10554, 320, 10155, 1741, 8, 311, 3493, 11156, 323, 12624, 2038, 323, 6492, 304, 1862, 315, 279, 77673, 5149, 13, 578, 23822, 1741, 15609, 264, 2134, 315, 49255, 11, 2737, 17055, 36781, 11, 15009, 11, 72546, 11, 69561, 8198, 11, 323, 28989, 13, 578, 23822, 1741, 8040, 264, 4101, 315, 3318, 16064, 311, 2686, 1401, 13650, 5938, 449, 18197, 5674, 14278, 323, 62653, 279, 1005, 315, 2204, 15174, 369, 18197, 5674, 14278, 13, 578, 23822, 1741, 1550, 1202, 990, 3196, 389, 24811, 11, 323, 1202, 990, 3956, 8881, 24811, 19075, 311, 279, 5664, 5856, 627, 791, 23822, 1741, 16250, 512, 10155, 1741, 27766, 45231, 198, 63326, 18343, 2360, 13, 220, 16, 25, 1556, 35907, 315, 279, 14727, 11613, 315, 10164, 9580, 53711, 27179, 33, 9933, 33611, 389, 45956, 8329, 1198, 5345, 59367, 59611, 11, 24565, 323, 21256, 11, 30390, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 17, 25, 15344, 45956, 8329, 5560, 369, 22620, 13284, 6588, 1885, 9744, 304, 279, 3816, 11188, 315, 279, 4892, 61358, 1198, 469, 604, 718, 11, 32608, 26, 5345, 59367, 59611, 11, 24565, 26, 21256, 11, 30390, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 18, 25, 578, 13756, 13071, 315, 60134, 7252, 9744, 64813, 369, 6588, 1885, 9744, 304, 279, 3816, 11188, 61358, 315, 19461, 1198, 86178, 11, 16431, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 19, 25, 328, 5977, 323, 7127, 315, 14727, 801, 1392, 369, 57227, 7935, 304, 279, 3816, 11188, 61358, 1198, 21293, 11, 25972, 26, 21256, 11, 30390, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 20, 25, 9384, 67925, 369, 57227, 21428, 59200, 304, 279, 3816, 11188, 1198, 80372, 1974, 11, 36302, 26, 622, 1338, 64, 11, 10016, 26, 21293, 11, 25972, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 21, 25, 47978, 42109, 77349, 315, 40741, 57227, 21428, 59200, 56619, 1198, 11730, 47940, 11, 11641, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 22, 25, 57227, 43480, 20817, 7127, 1198, 12404, 20176, 11, 28574, 473, 16016, 800, 13, 20524, 3902, 11, 23194, 432, 13, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 23, 25, 31913, 315, 264, 57227, 21428, 59200, 28845, 304, 279, 3816, 11188, 61358, 1198, 27766, 323, 38130, 45013, 5856, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 24, 25, 3816, 11188, 61358, 57227, 21428, 59200, 5907, 51803, 6826, 1198, 469, 604, 718, 28365, 49404, 26, 7553, 44612, 269, 11, 58500, 26, 735, 5420, 11, 1708, 320, 29146, 220, 1049, 18, 340, 791, 7434, 315, 264, 1054, 8006, 8068, 863, 574, 3549, 304, 279, 3816, 11188, 61358, 57227, 21428, 59200, 5664, 5856, 77673, 9306, 11, 6790, 220, 24, 11, 220, 2550, 23, 13, 578, 9306, 50729, 264, 2447, 4500, 1920, 369, 18189, 18197, 5674, 323, 18899, 5933, 5070, 304, 279, 19461, 13651, 315, 279, 3816, 11188, 61358, 430, 18065, 4216, 29173, 323, 20632, 4315, 682, 39210, 323, 264, 48566, 5603, 311, 62174, 7224, 627, 8006, 40713, 527, 8647, 369, 3318, 449, 264, 2447, 505, 4500, 315, 264, 2447, 7434, 1555, 311, 2447, 8246, 323, 16967, 13, 362, 5907, 8068, 17610, 315, 8475, 39210, 320, 99759, 42109, 27536, 11, 1614, 11, 6918, 323, 40489, 9266, 17274, 11, 2254, 3109, 7510, 11, 11754, 4363, 23840, 323, 8173, 22618, 1912, 24005, 705, 2737, 520, 3325, 832, 24073, 3729, 1732, 505, 1855, 9266, 13, 17384, 315, 279, 5907, 8068, 527, 21489, 555, 279, 92456, 4580, 315, 20258, 627, 8006, 10045, 388, 649, 1005, 279, 5907, 8068, 1920, 369, 7224, 430, 527, 3544, 11, 6485, 11, 477, 617, 279, 4754, 311, 387, 20733, 13, 2030, 1524, 2678, 11, 12309, 9099, 7224, 649, 387, 11084, 1555, 420, 1920, 422, 279, 2447, 10045, 261, 13919, 430, 279, 2447, 1436, 387, 31727, 1639, 477, 1053, 8935, 505, 279, 1912, 5597, 28846, 323, 23331, 38793, 38088, 304, 420, 1920, 627, 791, 435, 7842, 5664, 5856, 706, 8040, 264, 5907, 8068, 49924, 430, 5727, 682, 279, 2038, 4460, 311, 10299, 279, 5907, 8068, 1920, 13, 578, 49924, 374, 2561, 369, 92456, 9474, 20258, 323, 38212, 439, 1664, 439, 279, 3697, 315, 279, 5907, 40713, 627, 4959, 1060, 279, 57227, 21428, 59200, 5664, 5856, 706, 279, 6776, 311, 2167, 279, 45426, 315, 459, 86740, 315, 1614, 4689, 10736, 1555, 279, 6011, 315, 18955, 16607, 10164, 16607, 2759, 13, 578, 10374, 3197, 18306, 555, 279, 5664, 5856, 430, 40912, 1268, 279, 6011, 315, 18955, 16607, 1288, 22864, 1884, 10736, 627, 6161, 11188, 39262, 48582, 48926, 19001, 19461, 323, 24024, 4892, 28972, 25861, 13, 2030, 555, 20806, 36617, 757, 8363, 1578, 323, 50203, 14739, 8329, 11, 386, 2152, 32, 323, 1023, 5315, 527, 48408, 279, 23091, 4210, 3816, 11188, 1418, 1101, 6968, 502, 323, 2731, 39646, 369, 7795, 11, 20229, 323, 1023, 30405, 13, 2806, 279, 990, 304, 420, 2835, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2746, 499, 527, 33489, 1069, 81378, 304, 701, 36760, 499, 4762, 1766, 430, 814, 3207, 539, 3820, 88, 323, 25024, 1455, 4595, 315, 15657, 627, 644, 264, 2875, 5296, 11, 5250, 582, 26246, 527, 50197, 344, 4692, 11, 7438, 814, 8343, 24822, 323, 63875, 13, 763, 279, 8545, 11, 814, 10213, 25024, 369, 425, 315, 19595, 11, 16763, 11, 19837, 11, 41911, 11, 323, 2678, 1050, 418, 3742, 627, 39, 768, 11, 279, 60951, 1069, 2642, 363, 4835, 8965, 8343, 2204, 24822, 92885, 11, 26390, 11, 19595, 11, 41911, 11, 7878, 63875, 627, 4897, 3445, 499, 649, 5510, 701, 5250, 81378, 449, 2204, 4595, 315, 15657, 13, 2030, 11, 499, 527, 1618, 1606, 499, 1390, 311, 1440, 922, 1148, 3691, 323, 21662, 814, 1093, 311, 8343, 30, 1628, 1148, 4595, 315, 3691, 527, 11349, 311, 6106, 7191, 2890, 5380, 8586, 374, 264, 1160, 315, 15657, 430, 264, 1069, 81378, 50777, 323, 264, 4686, 8641, 311, 6106, 264, 9498, 10173, 13, 25929, 11, 584, 690, 3493, 264, 10173, 9676, 315, 872, 7446, 5510, 627, 3923, 3234, 5250, 582, 26246, 45614, 5380, 5519, 499, 1440, 69540, 527, 6380, 311, 1935, 9610, 315, 362, 5933, 4228, 15496, 5380, 39, 40027, 1870, 11, 5250, 582, 26246, 527, 50197, 344, 4692, 1606, 814, 8343, 904, 3169, 315, 3691, 1093, 13339, 11, 54832, 11, 5099, 13, 4452, 11, 5250, 582, 26246, 527, 6380, 449, 459, 4228, 15496, 13, 763, 279, 8545, 11, 814, 3351, 1618, 323, 1070, 311, 2778, 369, 3691, 13, 578, 8545, 1069, 582, 26246, 1093, 311, 25024, 15657, 1093, 1389, 41911, 11, 2204, 26390, 11, 19595, 11, 63494, 11, 14198, 819, 11, 5099, 627, 4599, 499, 527, 312, 3329, 1124, 4871, 264, 1162, 11, 814, 2011, 1205, 311, 3493, 39345, 15657, 13, 5810, 374, 264, 1796, 7075, 15657, 315, 1069, 582, 26246, 7058, 12, 6898, 82, 323, 1676, 1331, 1220, 198, 12, 17810, 35496, 612, 6896, 5510, 449, 17685, 323, 3428, 8834, 345, 12, 45419, 323, 452, 6256, 345, 12, 2522, 2453, 38759, 19335, 345, 12, 12797, 291, 20228, 345, 12, 2895, 1771, 6651, 449, 36581, 477, 43980, 82, 345, 12, 323, 9979, 92885, 11, 5099, 627, 7184, 11, 1442, 499, 527, 19054, 1124, 304, 701, 36760, 11, 23391, 264, 24770, 10173, 374, 1401, 311, 1695, 2890, 13, 12220, 279, 892, 315, 84019, 311, 8895, 2731, 2890, 11, 1069, 2642, 9802, 374, 23114, 89804, 35496, 13, 1226, 690, 4358, 433, 3010, 304, 420, 4652, 627, 644, 55529, 527, 832, 315, 872, 7075, 15657, 13, 2435, 527, 539, 282, 13753, 323, 690, 6847, 25024, 61495, 11, 16706, 41911, 11, 1099, 16115, 11, 477, 4661, 904, 1023, 23367, 13, 2684, 527, 2204, 4595, 315, 41911, 477, 1023, 15657, 430, 527, 5343, 304, 279, 1069, 81378, 753, 10173, 11, 1794, 774, 826, 527, 539, 41911, 719, 527, 3629, 10212, 304, 279, 1890, 5699, 13, 44493, 11, 1069, 582, 26246, 690, 19307, 279, 17614, 304, 2778, 315, 63000, 323, 1023, 2697, 20566, 323, 430, 374, 43522, 627, 12, 2522, 31215, 919, 323, 198, 12, 10335, 92599, 11, 5099, 198, 43712, 456, 4893, 612, 435, 68998, 198, 644, 279, 8545, 477, 84019, 11, 814, 25024, 6307, 10283, 315, 6307, 24822, 612, 14098, 323, 19595, 13, 2435, 10932, 311, 25024, 19595, 11, 42393, 11, 323, 1063, 19837, 627, 791, 27994, 11, 47136, 527, 1101, 5343, 439, 3691, 3673, 13, 5250, 582, 26246, 1253, 39897, 41613, 11, 29519, 58573, 477, 26390, 16038, 311, 636, 311, 279, 19595, 62215, 1896, 1069, 81378, 753, 10173, 11, 16869, 278, 283, 375, 323, 3090, 72218, 617, 3544, 19595, 430, 6782, 5995, 37493, 13, 34067, 11, 814, 527, 3815, 779, 304, 872, 2778, 369, 19595, 627, 12, 7997, 16763, 345, 12, 41046, 19595, 198, 12, 43786, 96740, 345, 12, 42609, 23182, 6332, 345, 12, 27967, 88, 52011, 198, 12, 2522, 2453, 38759, 19335, 345, 12, 12797, 291, 20228, 345, 12, 3341, 90329, 33522, 345, 12, 19915, 92885, 5099, 627, 791, 1160, 315, 2531, 19131, 374, 6908, 13, 4452, 11, 1521, 20229, 527, 21901, 315, 1455, 315, 1124, 13, 50487, 11, 81836, 11, 5250, 73852, 11, 323, 5250, 300, 527, 279, 4279, 15657, 369, 23878, 3486, 1069, 2642, 363, 4835, 627, 39379, 4108, 527, 832, 315, 279, 7075, 14098, 315, 1069, 582, 26246, 13, 2030, 814, 656, 539, 1193, 8343, 7878, 63494, 11, 8051, 814, 1101, 8343, 279, 41911, 430, 42840, 2212, 2697, 57796, 26390, 13, 31909, 3776, 36989, 11, 85146, 36989, 323, 66008, 527, 27073, 4459, 11, 3235, 449, 1778, 8545, 27103, 439, 305, 57075, 36989, 11, 19754, 12, 36989, 11, 323, 3167, 35555, 1572, 198, 6219, 764, 581, 5493, 323, 1050, 418, 3742, 198, 7009, 1093, 311, 8343, 2678, 93261, 581, 5493, 1093, 90546, 11, 311, 7819, 11, 4371, 309, 85051, 11, 323, 502, 2641, 13, 1050, 418, 3742, 1093, 57196, 11, 326, 35191, 11, 323, 1023, 2678, 10099, 13, 31909, 11, 4224, 6341, 323, 1776, 13602, 527, 832, 315, 279, 1455, 7075, 15657, 315, 1069, 582, 26246, 13, 2435, 617, 11754, 1690, 1274, 311, 4510, 430, 7170, 1069, 582, 26246, 3820, 19837, 13, 763, 279, 8776, 64873, 458, 31237, 82, 11, 35901, 8599, 449, 430, 315, 6617, 89022, 5493, 374, 2663, 1077, 7005, 2508, 627, 6600, 1771, 527, 14183, 311, 439, 279, 31665, 430, 3782, 505, 62233, 41936, 13, 31909, 11, 279, 62233, 41936, 527, 279, 3691, 9124, 505, 279, 16763, 19595, 1093, 20228, 11, 7951, 398, 11, 34153, 11, 25551, 876, 372, 11, 14095, 11, 5099, 13, 9086, 1455, 1023, 20229, 1521, 13124, 315, 31665, 527, 264, 4279, 3691, 2592, 315, 1069, 582, 26246, 13, 2435, 3021, 311, 8343, 14095, 11, 34153, 11, 323, 1023, 41936, 13, 18056, 499, 649, 1101, 2997, 8518, 16109, 661, 35496, 369, 66628, 477, 8415, 304, 872, 10173, 627, 16397, 279, 892, 315, 84019, 11, 1069, 81378, 55064, 264, 69051, 10173, 315, 6896, 3691, 477, 51876, 5510, 13, 763, 279, 1614, 315, 51876, 5510, 11, 814, 527, 1193, 12459, 9967, 41936, 11, 66008, 11, 323, 16385, 13, 1418, 6896, 3691, 1778, 439, 9235, 8415, 3691, 477, 5679, 3691, 5764, 5217, 34072, 323, 37493, 430, 1253, 539, 387, 31368, 2561, 1555, 19664, 83750, 833, 287, 627, 11458, 11, 1541, 1431, 3493, 6896, 3691, 430, 374, 2288, 74975, 323, 40085, 627, 60816, 24214, 477, 393, 55119, 29970, 198, 644, 84019, 11, 499, 649, 387, 23114, 1124, 8518, 12224, 477, 66628, 35496, 13, 7648, 315, 1521, 35496, 527, 24875, 13, 2435, 1093, 311, 8343, 43939, 24875, 1778, 439, 85270, 323, 14095, 5099, 13, 4452, 11, 814, 1101, 1205, 311, 25024, 41911, 323, 24822, 627, 7009, 2873, 311, 3021, 14095, 48616, 13, 4452, 11, 584, 690, 4284, 311, 5457, 433, 13, 31909, 11, 1541, 1431, 3493, 39928, 16385, 627, 3923, 3234, 5250, 81378, 98098, 5380, 13246, 1023, 10099, 477, 20229, 11, 433, 7612, 80744, 13, 763, 2144, 11, 499, 617, 311, 2349, 279, 3090, 7446, 323, 3493, 67740, 3090, 13, 5560, 220, 18, 477, 220, 19, 2427, 93514, 3090, 24794, 13, 763, 279, 12688, 3280, 11, 499, 1205, 311, 3493, 8369, 3090, 627, 37, 21702, 22410, 1238, 323, 42116, 1634, 512, 2675, 649, 5510, 1124, 449, 2204, 14098, 23661, 323, 91070, 627, 12, 8325, 66851, 612, 42116, 1634, 198, 12, 31858, 66851, 612, 42116, 1634, 198, 3923, 539, 311, 29970, 701, 5250, 582, 26246, 5380, 8586, 374, 264, 1160, 315, 3691, 430, 1069, 2642, 9802, 1253, 25024, 719, 433, 3604, 1587, 11682, 1109, 1695, 13, 7570, 433, 11384, 4648, 627, 12, 25619, 40085, 15657, 1389, 39520, 323, 7671, 47282, 345, 12, 67652, 3691, 12, 23317, 11, 63452, 11, 4106, 12875, 11, 5099, 627, 12, 507, 1570, 477, 40085, 15657, 345, 12, 2435, 48969, 21662, 1093, 12, 15600, 11033, 477, 13200, 345, 12, 23674, 11, 1541, 1431, 3493, 78792, 35496, 323, 7446, 3691, 41421, 1154, 627, 6251, 16490, 5250, 2642, 9802, 369, 480, 2101, 6401, 323, 16923, 198, 87533, 15657, 1093, 220, 16, 8, 24875, 9709, 449, 63875, 11, 220, 17, 8, 24822, 9709, 449, 99169, 11, 477, 24875, 649, 6106, 30549, 26677, 13, 578, 13944, 1069, 2642, 9802, 11, 617, 459, 50197, 344, 20857, 10173, 13, 2468, 430, 892, 11, 814, 8343, 19595, 11, 6307, 16763, 11, 76056, 11, 323, 2697, 326, 35191, 627, 644, 84019, 11, 5250, 582, 26246, 1205, 520, 3325, 220, 508, 4, 13128, 311, 387, 9498, 323, 4097, 2890, 13, 1226, 617, 1027, 3970, 1063, 1069, 2642, 9802, 7916, 388, 7079, 439, 1579, 439, 220, 843, 4, 13128, 1243, 1063, 733, 449, 4827, 13, 763, 279, 6278, 5015, 3485, 17510, 3346, 8111, 311, 387, 21676, 7378, 13, 4452, 11, 9235, 8415, 3691, 374, 264, 1695, 2592, 315, 433, 627, 8248, 433, 706, 2753, 13128, 323, 1063, 5679, 15657, 6782, 912, 10065, 13128, 13, 1226, 649, 1518, 11, 20229, 98306, 10065, 13128, 311, 5101, 311, 28875, 2731, 627, 6251, 16490, 304, 19367, 198, 644, 279, 35359, 70841, 11, 1521, 1949, 82105, 20229, 617, 3544, 23423, 449, 10283, 315, 24822, 13, 1102, 690, 6106, 1455, 315, 872, 5995, 13128, 505, 41911, 323, 1023, 39719, 1900, 430, 814, 8343, 627, 1966, 279, 1023, 1450, 11, 994, 279, 9282, 374, 4106, 11, 814, 10932, 311, 1377, 287, 4725, 9499, 3090, 627, 6251, 16490, 304, 468, 3386, 198, 644, 279, 289, 396, 70841, 11, 814, 690, 1205, 5066, 28896, 13, 2468, 420, 892, 499, 649, 5268, 311, 5510, 45405, 27795, 323, 5395, 7442, 78420, 13, 4452, 11, 304, 12688, 814, 690, 1205, 23756, 323, 67740, 3090, 627, 2746, 499, 527, 312, 3329, 1124, 11, 499, 1205, 311, 5357, 389, 28896, 13, 2057, 6106, 13128, 11, 7878, 63875, 527, 11349, 13, 4452, 11, 994, 279, 6671, 374, 3958, 11, 499, 1253, 2997, 8518, 13128, 33690, 304, 872, 10173, 627, 3923, 656, 21266, 5250, 582, 26246, 45614, 5380, 63717, 315, 279, 4325, 11, 814, 1205, 311, 25024, 15657, 13, 1666, 1093, 1023, 20229, 11, 279, 8945, 31863, 1833, 872, 6691, 13, 2100, 11, 304, 1778, 264, 1162, 11, 499, 1205, 311, 6106, 264, 26682, 477, 2697, 8149, 19763, 13, 31909, 11, 1304, 2771, 279, 3090, 261, 374, 6847, 15987, 369, 1124, 627, 3915, 279, 1176, 2046, 315, 872, 7342, 11, 1212, 26040, 1124, 41911, 11, 63000, 13, 2435, 1205, 3361, 2512, 369, 9498, 6650, 13, 4452, 11, 499, 617, 311, 6106, 264, 1695, 3392, 315, 13128, 304, 872, 10173, 13, 15636, 11, 433, 690, 387, 24629, 311, 3493, 8415, 15657, 477, 1579, 10039, 39340, 1847, 12224, 27795, 13, 4452, 11, 358, 690, 4284, 499, 311, 5766, 6896, 15657, 439, 433, 374, 2288, 40085, 477, 74975, 627, 7184, 11, 994, 814, 3207, 220, 18, 4038, 9191, 11, 499, 1541, 1431, 1205, 311, 3493, 2204, 15657, 369, 1124, 13, 12361, 11, 430, 649, 387, 17665, 449, 6822, 12224, 15657, 627, 791, 7252, 3926, 6910, 1789, 5250, 582, 26246, 198, 3947, 527, 2204, 4595, 315, 12224, 78420, 323, 41936, 527, 1063, 315, 279, 2671, 13, 1472, 649, 1817, 2212, 24392, 311, 1518, 1148, 374, 2561, 13, 23674, 11, 1618, 527, 1063, 4279, 8518, 35496, 430, 814, 2873, 311, 4774, 90578, 8586, 374, 264, 1160, 315, 11349, 1069, 2642, 9802, 32839, 512, 12, 84637, 56, 8014, 33, 220, 1041, 4, 11842, 12279, 10754, 423, 4588, 57488, 56741, 82, 198, 12, 1901, 37509, 2114, 11, 18955, 2536, 12279, 10754, 423, 4588, 57488, 56741, 82, 198, 12, 82813, 52275, 426, 8759, 24, 31825, 18, 37, 21, 23886, 1443, 15556, 5250, 73852, 220, 1135, 445, 65, 198, 12, 29084, 19508, 220, 8190, 3174, 47014, 13944, 24214, 12369, 11, 220, 508, 9483, 801, 198, 12, 386, 12930, 1322, 4140, 23414, 19435, 23414, 60887, 29970, 369, 21266, 5250, 582, 26246, 198, 56032, 10180, 5250, 582, 26246, 12369, 323, 98098, 512, 2181, 5084, 430, 1070, 3207, 1690, 30771, 36028, 922, 1124, 13, 31909, 11, 439, 814, 527, 50197, 344, 4692, 323, 706, 2204, 3691, 14464, 1109, 1455, 1023, 13018, 20229, 11, 6975, 922, 1124, 374, 5107, 369, 1455, 315, 279, 1274, 627, 5519, 5250, 582, 26246, 45614, 13358, 2094, 5380, 9642, 0, 8545, 1069, 582, 26246, 10932, 311, 8343, 2678, 57196, 13, 4452, 11, 433, 374, 539, 279, 7075, 832, 13, 2030, 279, 2144, 374, 814, 527, 51687, 311, 387, 459, 23655, 315, 1855, 1023, 13, 578, 1069, 582, 26246, 690, 539, 50134, 57196, 304, 872, 18455, 13, 23674, 11, 814, 690, 5268, 311, 4465, 7214, 627, 5519, 5250, 2642, 9802, 527, 2468, 55535, 311, 19558, 52645, 5380, 9642, 0, 814, 527, 29123, 311, 4251, 19837, 13, 31909, 11, 872, 7075, 15657, 2997, 19595, 13, 3011, 3445, 422, 279, 23153, 477 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 37, 47909, 11, 40835, 3651, 32612, 3579, 71320, 25, 578, 800, 1154, 5046, 10919, 763, 362, 33907, 198, 1687, 3449, 1057, 3021, 1555, 4885, 11, 19228, 477, 3674, 29130, 6732, 5423, 5029, 6732, 13, 4800, 11, 499, 1766, 701, 3021, 323, 6773, 311, 3449, 709, 323, 617, 3892, 13003, 311, 1440, 1855, 1023, 13, 2876, 2216, 3021, 520, 1176, 14254, 11, 477, 3021, 520, 1176, 10652, 315, 3388, 13, 2468, 1176, 11, 584, 527, 14892, 449, 279, 1732, 8884, 584, 1541, 956, 1440, 719, 584, 1093, 1606, 315, 279, 7106, 33464, 11, 7865, 477, 64550, 304, 10652, 11, 1694, 83733, 11, 477, 3515, 459, 14604, 16024, 627, 791, 1176, 6574, 374, 264, 1176, 2457, 4994, 1093, 3449, 33834, 994, 499, 527, 7556, 389, 5029, 6732, 477, 11784, 555, 4279, 4885, 994, 499, 617, 65281, 323, 20673, 5424, 520, 279, 16283, 11, 477, 95185, 4994, 701, 14373, 3838, 994, 499, 733, 99738, 477, 12185, 627, 16397, 420, 6566, 11, 499, 23846, 279, 7865, 315, 279, 1732, 499, 2322, 13, 1472, 527, 10371, 6261, 422, 1364, 78156, 13452, 499, 2288, 13, 1472, 527, 10371, 6261, 422, 499, 690, 1093, 1461, 39007, 1306, 420, 6566, 13, 1472, 10491, 422, 499, 1541, 956, 1390, 9298, 1461, 39007, 1578, 1306, 420, 477, 499, 3987, 311, 1518, 1461, 39007, 1578, 1306, 420, 6574, 627, 2181, 690, 1935, 14297, 315, 3388, 779, 430, 499, 690, 539, 387, 37104, 922, 701, 1972, 14944, 477, 16024, 922, 430, 1732, 499, 2322, 3156, 499, 10491, 311, 3351, 389, 311, 279, 1828, 6566, 627, 4516, 499, 527, 6773, 1457, 430, 499, 1390, 311, 3449, 1077, 7682, 318, 1578, 627, 10267, 603, 2019, 430, 499, 10491, 311, 1440, 279, 1732, 499, 1093, 1457, 13, 1472, 527, 24450, 311, 1440, 1461, 39007, 2731, 627, 644, 420, 6566, 11, 279, 1176, 1957, 374, 11889, 1984, 311, 279, 1732, 499, 1093, 311, 617, 264, 3449, 709, 1578, 13, 1472, 690, 3708, 264, 1984, 477, 3041, 264, 1650, 311, 2610, 1268, 1364, 78156, 374, 3815, 13, 1472, 690, 2610, 422, 1364, 78156, 374, 17339, 311, 733, 704, 1578, 311, 3449, 499, 323, 617, 2523, 4994, 477, 311, 8343, 16163, 3529, 4481, 3871, 2391, 38102, 477, 311, 2610, 422, 279, 1732, 374, 539, 13326, 520, 990, 627, 10267, 603, 2019, 2225, 315, 499, 527, 6773, 311, 1440, 1855, 1023, 2731, 1606, 499, 1403, 1093, 1855, 1023, 13, 1115, 374, 279, 6566, 315, 5029, 1855, 1023, 13, 1472, 690, 733, 704, 439, 3629, 439, 499, 1390, 5423, 2391, 38102, 311, 3821, 5818, 3871, 11, 311, 617, 14177, 477, 311, 733, 65281, 3871, 449, 4885, 13, 11995, 315, 499, 527, 6380, 304, 279, 2883, 315, 1855, 1023, 13, 1472, 1440, 279, 1732, 14297, 719, 22225, 1606, 315, 420, 6566, 13, 578, 7865, 11, 279, 13452, 323, 6944, 11, 323, 279, 14944, 3249, 499, 1403, 527, 3871, 1578, 323, 1578, 627, 644, 420, 6566, 11, 499, 690, 1440, 1855, 1023, 16102, 627, 4516, 499, 527, 1633, 1790, 2771, 430, 499, 1093, 1461, 39007, 311, 387, 449, 499, 323, 499, 617, 16024, 2736, 430, 568, 611, 32158, 374, 264, 3361, 1732, 304, 701, 4851, 627, 644, 420, 6566, 11, 279, 7564, 374, 279, 1732, 889, 656, 5590, 5383, 1606, 1524, 279, 5333, 13452, 279, 893, 1633, 1790, 11, 1364, 649, 539, 5590, 279, 7564, 13, 3005, 1193, 649, 16805, 1077, 16024, 922, 1461, 719, 539, 11889, 1461, 19837, 323, 100049, 627, 53692, 11, 420, 374, 279, 279, 1455, 10437, 961, 315, 3021, 13, 578, 31720, 315, 16024, 1990, 279, 1403, 11434, 304, 27578, 588, 627, 8586, 11, 279, 7564, 690, 1501, 37805, 311, 279, 3828, 13, 16542, 1077, 311, 2978, 36162, 323, 7963, 1077, 311, 3708, 1077, 1203, 2162, 13, 21069, 1077, 311, 2457, 1461, 24121, 323, 15870, 13, 1283, 690, 3708, 19837, 11, 100049, 477, 904, 21258, 311, 1077, 449, 3361, 8554, 922, 3021, 1524, 2085, 25975, 311, 1501, 430, 568, 374, 304, 3021, 449, 1077, 627, 791, 3828, 690, 2187, 1461, 311, 656, 430, 323, 4287, 682, 279, 21258, 505, 279, 7564, 311, 1501, 1461, 430, 1364, 13452, 1461, 2288, 477, 311, 1501, 5201, 311, 1461, 13, 1115, 374, 279, 6566, 1405, 279, 7564, 690, 16805, 813, 16024, 311, 1077, 323, 2610, 1077, 422, 1364, 649, 387, 813, 3828, 13, 3005, 690, 25670, 430, 323, 4320, 1461, 27136, 505, 279, 5740, 315, 1077, 4851, 13, 1442, 1364, 374, 539, 304, 27578, 588, 449, 1461, 11, 1364, 690, 2543, 1461, 1523, 29921, 13, 1115, 374, 279, 842, 315, 813, 6566, 323, 568, 3966, 311, 3351, 389, 323, 387, 1203, 311, 279, 1176, 6566, 1578, 449, 2500, 3828, 13, 26823, 449, 279, 3828, 2288, 11, 3604, 2225, 315, 1124, 690, 733, 1203, 389, 279, 1176, 6566, 627, 4071, 422, 1364, 374, 1101, 304, 27578, 588, 449, 1461, 11, 1364, 690, 4320, 279, 10437, 478, 3492, 369, 3026, 11, 279, 364, 14331, 6, 0, 323, 2225, 315, 1124, 690, 3351, 311, 279, 1828, 2237, 627, 791, 473, 606, 69960, 22891, 198, 644, 420, 6566, 11, 279, 1403, 11434, 527, 6773, 311, 387, 3871, 311, 13488, 810, 323, 1440, 1855, 1023, 17693, 627, 21279, 315, 1124, 1390, 311, 4587, 1855, 1023, 311, 1304, 1124, 6380, 13, 2435, 690, 3719, 439, 6380, 439, 13945, 11077, 21961, 13, 2435, 690, 10491, 3871, 323, 1781, 315, 1690, 5627, 311, 387, 6380, 3871, 627, 791, 7564, 690, 656, 4395, 311, 1304, 1077, 6380, 13, 1283, 374, 810, 12304, 1109, 1603, 13, 1283, 374, 2744, 6380, 311, 1518, 1077, 37163, 323, 810, 1109, 10032, 311, 656, 4395, 1364, 2795, 627, 791, 3828, 690, 656, 279, 1890, 13, 3005, 690, 656, 4395, 311, 4587, 1461, 13, 3005, 690, 387, 10769, 1430, 1109, 1603, 11, 1180, 15234, 323, 6380, 1120, 311, 1518, 1461, 627, 7009, 9473, 21258, 3871, 323, 32726, 682, 279, 19459, 3871, 13, 2435, 690, 733, 311, 279, 7634, 814, 2646, 1027, 1603, 13, 2435, 690, 1180, 1093, 264, 5743, 323, 1501, 872, 3021, 311, 1855, 1023, 10032, 311, 13488, 4395, 1120, 311, 1304, 1855, 1023, 6380, 13, 2360, 5435, 11, 912, 37504, 645, 11, 4822, 16643, 323, 3974, 311, 279, 77796, 627, 2028, 374, 279, 6380, 961, 315, 279, 5133, 4999, 644, 420, 6566, 11, 279, 5743, 690, 3217, 90700, 826, 11, 80822, 11, 41328, 11, 40017, 323, 29213, 16024, 304, 279, 5133, 627, 8607, 8125, 3249, 279, 5743, 527, 11039, 13, 578, 7095, 449, 1855, 1023, 6041, 311, 20784, 13, 2052, 14117, 449, 279, 6671, 13, 18156, 11, 1274, 4510, 430, 420, 6566, 374, 1193, 264, 9269, 430, 814, 1205, 311, 53120, 779, 430, 814, 649, 733, 311, 279, 1828, 6566, 315, 872, 5133, 13, 1115, 374, 279, 892, 1405, 2225, 315, 1124, 10491, 369, 872, 23871, 627, 2746, 279, 5743, 527, 11039, 1606, 315, 4382, 13146, 323, 814, 1541, 956, 1440, 1268, 311, 3790, 430, 6671, 11, 14224, 814, 527, 539, 5644, 311, 3351, 311, 279, 1828, 2237, 13, 6914, 603, 2019, 11, 814, 527, 539, 15196, 3686, 311, 3790, 279, 5133, 627, 2746, 279, 5743, 1440, 1268, 311, 3790, 279, 4382, 26885, 719, 11, 814, 2103, 3663, 11493, 5435, 304, 5133, 1093, 42823, 477, 3070, 5435, 13, 1628, 304, 420, 6671, 11, 814, 649, 539, 3790, 433, 323, 649, 539, 18167, 11, 14224, 814, 527, 539, 8967, 311, 387, 627, 2746, 279, 5743, 25051, 7865, 5435, 315, 279, 8427, 1606, 1306, 1317, 1667, 1027, 3871, 499, 11352, 1063, 3958, 11314, 315, 701, 8427, 499, 649, 539, 1935, 14926, 11, 499, 690, 3351, 311, 279, 1828, 2237, 627, 32148, 11, 1606, 315, 14348, 279, 5743, 6244, 34386, 304, 279, 5133, 323, 814, 5379, 21294, 430, 3063, 311, 279, 90700, 826, 323, 11039, 13, 3011, 3445, 11, 814, 527, 922, 311, 733, 311, 279, 1828, 2237, 627, 2028, 374, 279, 6566, 315, 16106, 323, 4851, 14576, 13, 1115, 374, 279, 8197, 3249, 499, 1205, 311, 733, 311, 279, 1828, 2237, 311, 11322, 1148, 499, 527, 11125, 369, 304, 701, 2324, 627, 2028, 374, 279, 6566, 430, 2225, 315, 499, 10491, 902, 1648, 499, 33833, 1935, 311, 387, 6380, 304, 701, 2324, 13, 9601, 374, 2288, 2875, 311, 12571, 433, 323, 9455, 279, 1314, 1732, 374, 279, 1193, 1648, 369, 23871, 422, 499, 10491, 311, 617, 264, 8427, 304, 2324, 627, 791, 5597, 374, 279, 34553, 961, 315, 3021, 13, 5810, 11, 279, 5743, 1288, 10491, 902, 374, 902, 13, 2684, 527, 1403, 5627, 311, 733, 311, 279, 1828, 323, 1620, 6566, 627, 5451, 1648, 11, 422, 279, 1403, 11434, 649, 539, 3619, 1855, 1023, 323, 539, 6380, 14926, 311, 4822, 5129, 3871, 1606, 814, 527, 1120, 48389, 1855, 1023, 11, 814, 1288, 2225, 10491, 311, 842, 279, 5133, 323, 46227, 23871, 311, 1855, 1023, 11, 430, 374, 279, 6566, 315, 578, 15996, 3216, 13, 4740, 420, 6566, 11, 814, 690, 733, 7214, 311, 279, 1828, 6566, 902, 374, 578, 49741, 13, 5112, 11, 1306, 7366, 389, 323, 5644, 311, 3663, 2324, 1578, 11, 814, 690, 733, 1203, 311, 279, 1176, 6566, 315, 3021, 11008, 1405, 814, 1205, 311, 3449, 1578, 2500, 1732, 627, 16041, 1648, 11, 422, 279, 5743, 6944, 311, 18167, 304, 279, 11039, 6566, 323, 6944, 311, 3136, 279, 5133, 814, 690, 733, 311, 279, 1828, 6566, 902, 374, 578, 41574, 13, 1442, 814, 649, 539, 18167, 304, 279, 9269, 4261, 11, 814, 10491, 311, 733, 311, 279, 5629, 1648, 11224, 3485, 13, 2030, 422, 814, 18167, 578, 41574, 6566, 1243, 11, 430, 596, 279, 842, 315, 279, 79930, 11, 814, 10491, 311, 387, 3871, 16058, 323, 10032, 311, 4287, 279, 44667, 315, 1855, 1023, 11, 814, 690, 10491, 311, 3351, 311, 279, 1888, 6566, 315, 3021, 13, 1628, 430, 596, 279, 1566, 6566, 25, 578, 31917, 627, 2181, 374, 682, 709, 311, 279, 5743, 1268, 814, 3790, 5133, 13, 358, 1120, 1390, 311, 1501, 1268, 3021, 90159, 304, 1057, 2324, 13, 4427, 1274, 3449, 279, 5076, 1732, 430, 374, 3249, 814, 1205, 311, 1935, 323, 13454, 279, 18094, 315, 3021, 1578, 323, 1578, 3156, 499, 5662, 279, 1566, 9284, 13, 1102, 374, 1120, 1093, 4737, 459, 24481, 11, 422, 499, 527, 4745, 11, 499, 1205, 311, 3351, 389, 323, 1935, 279, 24481, 1578, 13, 5884, 2336, 11, 1306, 67650, 1070, 374, 2744, 23871, 520, 279, 842, 323, 584, 690, 22225, 5662, 279, 2450, 584, 527, 3411, 369, 422, 499, 690, 539, 3009, 304, 701, 11879, 13, 11406, 701, 2324, 311, 279, 77796, 11, 1304, 433, 3152, 343, 1285, 323, 1935, 2512, 315, 6261, 13, 4418, 956, 387, 12703, 323, 387, 6380, 627, 2675, 34351, 21829, 578, 473, 16115, 21883, 512, 12, 15996, 3216, 198, 61279, 709, 374, 12703, 13, 1102, 596, 539, 922, 61682, 11, 57309, 323, 68989, 13, 1102, 596, 922, 8903, 13, 362, 2324, 10223, 3217, 311, 1304, 603, 3831, 627, 12, 10919, 22854, 23508, 198, 2028, 4652, 374, 682, 922, 5133, 13, 1472, 690, 1440, 1268, 311, 3568, 449, 264, 54524, 26923, 627, 12, 4718, 11617, 5843, 287, 2057, 57199, 198, 3923, 311, 2019, 311, 701, 3828, 422, 1364, 374, 18821, 2736, 30, 4314, 527, 279, 4339, 1364, 2643, 1390, 311, 6865, 505, 499, 627, 12, 77351, 362, 65452, 32413, 198, 791, 1853, 315, 12502, 2324, 1253, 5101, 6366, 323, 2539, 315, 23871, 719, 9214, 315, 3885, 617, 1027, 25406, 627, 12, 7073, 4718, 10919, 2057, 4718, 11617, 198, 29351, 374, 304, 279, 3805, 13, 3277, 264, 7564, 24400, 1193, 304, 1148, 568, 2795, 11, 568, 374, 3339, 264, 2466, 16930, 13, 7073, 3021, 449, 6299, 719, 4339, 649, 387, 11190, 2288, 13, 10919, 701, 3828, 90163, 12, 2650, 2057, 7531, 1628, 2175, 578, 26340, 198, 32, 2763, 315, 1274, 10371, 279, 3488, 8595, 649, 956, 814, 2873, 311, 1505, 323, 636, 279, 7564, 30, 2100, 11, 358, 1505, 430, 584, 1288, 4762, 1212, 520, 279, 7314, 13, 578, 1176, 3488, 358, 4691, 1124, 374, 2650, 1690, 7752, 656, 499, 3449, 304, 264, 2046, 5380, 12, 59124, 1283, 596, 2876, 74596, 3161, 1472, 198, 8538, 7752, 527, 539, 6129, 304, 5133, 5423, 449, 872, 85612, 13, 2100, 11, 1618, 527, 1063, 10631, 311, 2980, 369, 3278, 311, 1440, 422, 872, 893, 374, 6129, 449, 1124, 627, 12, 7874, 35198, 2094, 5046, 11215, 763, 362, 5133, 198, 10445, 1587, 433, 2873, 1093, 23062, 18311, 311, 636, 264, 7564, 311, 1650, 499, 1475, 1938, 30, 5810, 11, 499, 690, 4048, 279, 6367, 1268, 311, 1304, 1461, 3194, 499, 627, 12, 5751, 16576, 30562, 21335, 578, 60555, 31969, 11, 8595 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 24901, 636, 430, 20862, 30, 2175, 14079, 2262, 11, 10631, 323, 7526, 311, 1520, 499, 25555, 627, 2059, 6513, 5075, 1195, 5039, 1268, 3815, 279, 1314, 3245, 369, 8420, 11767, 311, 6928, 2626, 3135, 627, 3957, 701, 9548, 76349, 10494, 709, 449, 279, 10223, 1917, 315, 990, 30, 3161, 6570, 24575, 596, 17275, 49924, 21275, 636, 9096, 315, 4059, 430, 701, 76349, 374, 709, 4791, 18920, 627, 11313, 4634, 6072, 11, 5813, 38769, 323, 12178, 701, 7076, 2345, 3556, 28744, 393, 5744, 82, 99563, 6570, 24575, 14582, 47437, 304, 220, 717, 9919, 4028, 279, 549, 815, 13, 420, 10683, 627, 2, 8758, 24575, 972, 690, 9407, 701, 13356, 1389, 389, 701, 7471, 11, 389, 701, 7076, 11, 323, 389, 279, 1648, 499, 5603, 23096, 13, 16877, 603, 304, 10780, 5651, 220, 1114, 12, 508, 11, 220, 679, 23, 198, 94963, 27465, 10658, 25930, 4860, 922, 22973, 8420, 198, 25370, 1253, 4232, 832, 3048, 315, 1057, 6205, 7739, 323, 20506, 369, 701, 4443, 1005, 2949, 701, 7471, 13, 5321, 5296, 430, 682, 1778, 7739, 323, 10396, 1288, 387, 22690, 555, 701, 5897, 16467, 369, 8907, 449, 8581, 2383, 11, 323, 1288, 387, 11041, 311, 7937, 701, 7471, 753, 7829, 11, 5064, 11, 323, 12659, 13, 25215, 3697, 6463, 2536, 86940, 1253, 23645, 1778, 10688, 304, 904, 1023, 1648, 320, 68, 1326, 2637, 311, 2109, 2600, 304, 264, 2363, 477, 1005, 369, 264, 8518, 7580, 8, 2085, 6570, 24575, 753, 8041, 13, 2057, 1715, 8041, 369, 3230, 3673, 11, 4299, 389, 279, 1054, 54149, 8709, 863, 3215, 389, 279, 2199, 1405, 499, 1505, 279, 1537, 627, 2746, 459, 9548, 374, 520, 990, 994, 10434, 449, 264, 84393, 2015, 2345, 439, 574, 279, 20754, 893, 889, 11, 220, 1954, 4520, 1306, 1694, 10434, 345, 42700, 389, 264, 25114, 10658, 79728, 420, 2046, 2001, 5562, 23234, 1935, 14247, 7504, 311, 6144, 279, 27465, 5380, 8142, 3318, 520, 473, 288, 7876, 11, 31663, 12898, 31039, 21705, 37528, 389, 13806, 13, 220, 914, 11, 79613, 2265, 30390, 14337, 574, 10434, 459, 2015, 315, 9313, 505, 11737, 11, 8967, 311, 2567, 1461, 3201, 505, 813, 506, 63970, 10931, 11, 889, 1550, 539, 990, 520, 21705, 13, 87439, 889, 5602, 264, 27158, 8854, 14337, 520, 279, 37125, 2512, 7241, 15266, 6136, 3309, 40839, 753, 53928, 430, 14337, 9922, 23268, 11, 719, 539, 87146, 779, 627, 2127, 6596, 323, 264, 4376, 3010, 11, 568, 9107, 4027, 389, 8420, 520, 279, 6136, 11, 13419, 2380, 323, 289, 13900, 220, 975, 11, 1603, 264, 40839, 753, 27158, 6689, 323, 7577, 1461, 627, 13191, 279, 9349, 617, 1027, 32098, 30, 12540, 2883, 6164, 387, 30316, 7214, 422, 264, 12128, 21879, 264, 84393, 2015, 62546, 459, 43658, 477, 16806, 3925, 30, 12540, 1070, 387, 32885, 369, 14892, 449, 264, 12128, 304, 420, 6671, 2345, 49864, 31474, 459, 9888, 5326, 15813, 11, 25012, 279, 12128, 389, 5387, 477, 25309, 287, 709, 4868, 5380, 93269, 2574, 527, 72600, 17395, 11, 1606, 1694, 10434, 449, 264, 84393, 2015, 374, 539, 1694, 23959, 315, 264, 9977, 2476, 1071, 14594, 25227, 276, 9607, 301, 11564, 53501, 11, 17192, 4872, 315, 2890, 323, 39890, 520, 2394, 664, 2335, 17961, 4953, 13, 304, 65599, 11, 452, 3587, 2637, 323, 264, 13018, 9349, 24687, 627, 2822, 80467, 63348, 198, 27588, 5735, 6406, 11, 31663, 2637, 29783, 350, 13, 71509, 1071, 279, 9313, 39151, 39130, 817, 2015, 430, 14337, 574, 10434, 574, 1054, 55540, 279, 4696, 8346, 863, 430, 6197, 311, 279, 44861, 13, 21705, 23096, 7690, 62284, 37512, 1550, 539, 10052, 311, 459, 384, 11724, 477, 4641, 1650, 11125, 4068, 922, 1148, 7504, 279, 2883, 1253, 617, 4529, 311, 77277, 14337, 753, 1614, 315, 4059, 1306, 568, 574, 10434, 449, 279, 2015, 627, 35, 38872, 9607, 301, 11564, 53501, 1071, 568, 8964, 315, 912, 5220, 430, 617, 16287, 10396, 369, 30438, 311, 264, 12128, 889, 706, 1027, 10434, 449, 264, 84393, 2015, 627, 66091, 17652, 278, 11, 264, 8427, 520, 279, 19895, 2383, 7626, 315, 16062, 2194, 30283, 11, 1071, 568, 13919, 682, 23234, 1288, 2980, 23537, 7487, 889, 636, 84393, 10373, 311, 15820, 872, 74051, 7214, 51749, 23537, 18105, 889, 11550, 279, 13788, 311, 656, 779, 13, 3011, 1648, 11, 568, 1071, 11, 74051, 649, 8891, 279, 9548, 753, 7865, 627, 11458, 11, 568, 1071, 568, 753, 41747, 315, 904, 1614, 430, 76053, 1778, 11801, 627, 2746, 264, 12128, 889, 374, 10434, 8111, 23268, 11, 264, 38419, 753, 1176, 3094, 11, 25227, 276, 9607, 301, 11564, 53501, 1071, 11, 1288, 387, 311, 1935, 279, 9548, 311, 264, 879, 2035, 323, 8720, 1120, 1268, 19021, 568, 477, 1364, 374, 323, 3508, 279, 9548, 2643, 17477, 264, 8137, 311, 3885, 627, 2118, 27264, 422, 814, 1390, 311, 3137, 369, 264, 2478, 4520, 13, 9934, 311, 20461, 701, 4747, 13, 25672, 1124, 279, 2883, 706, 5070, 369, 1124, 49216, 6161, 8202, 311, 3821, 369, 2391, 1778, 264, 10652, 11, 17652, 278, 1071, 11, 2643, 2997, 1054, 1768, 70995, 11, 19738, 7865, 11, 864, 59362, 449, 61135, 477, 1884, 7577, 11, 323, 7556, 922, 10094, 87146, 49216, 2746, 279, 12128, 9221, 62642, 2345, 82, 846, 6605, 11, 369, 2937, 11, 24018, 287, 477, 3339, 18208, 29096, 38419, 374, 2949, 813, 477, 1077, 3268, 311, 617, 279, 12128, 77656, 4994, 279, 27465, 555, 4868, 7510, 11, 311, 3703, 2680, 311, 279, 27465, 3156, 20258, 649, 2731, 3619, 279, 6671, 323, 311, 1524, 2035, 279, 12128, 389, 23541, 5387, 11, 17652, 278, 1071, 627, 13461, 422, 459, 9548, 3010, 8349, 430, 264, 6023, 574, 264, 22380, 11, 17652, 278, 1071, 11, 420, 1054, 285, 539, 264, 9232, 49216, 14305, 810, 3230, 279, 6023, 11, 279, 7191, 279, 24128, 2476, 568, 1071, 11, 5423, 422, 279, 9548, 35434, 1268, 11, 994, 323, 1405, 568, 477, 1364, 2643, 13194, 4423, 627, 644, 1778, 5157, 11, 25227, 276, 9607, 301, 11564, 53501, 1071, 11, 279, 9548, 3966, 311, 5387, 323, 3966, 311, 387, 60044, 505, 312, 49315, 287, 279, 27465, 627, 61553, 5246, 439, 430, 1732, 706, 2163, 11, 1304, 279, 3813, 439, 9966, 439, 433, 649, 11000, 387, 2476, 568, 1071, 13, 1054, 2028, 3250, 1431, 3152, 279, 9548, 374, 14219, 13, 1102, 1587, 3152, 814, 3207, 60044, 505, 279, 35022, 3156, 279, 6671, 374, 2731, 16365, 49216, 2520, 36798, 10699, 21069, 369, 19721, 198, 75344, 750, 11, 17652, 278, 1071, 11, 279, 2035, 430, 51242, 264, 1732, 889, 13019, 264, 84393, 2015, 2345, 66463, 2225, 7931, 990, 520, 8821, 7634, 2345, 5562, 617, 264, 2867, 3197, 304, 2035, 1288, 279, 1732, 889, 4036, 279, 84393, 2015, 5603, 279, 27465, 627, 2118, 1991, 264, 6945, 505, 279, 9548, 315, 279, 1732, 3917, 311, 279, 84393, 2015, 323, 4319, 6468, 433, 311, 1884, 889, 527, 3221, 95679, 11, 520, 264, 8187, 2476, 568, 1071, 13, 1054, 12389, 264, 1887, 304, 2035, 779, 430, 422, 279, 1732, 29933, 11, 279, 23991, 380, 649, 3568, 449, 433, 21676, 13, 578, 23991, 380, 2643, 1650, 264, 24073, 1732, 449, 264, 5224, 430, 374, 2082, 311, 3451, 6797, 279, 4379, 14639, 15483, 439, 11, 3451, 40, 1097, 14931, 358, 4250, 3137, 1457, 13, 1226, 617, 264, 20792, 8884, 358, 1390, 311, 1520, 14639, 362, 22743, 3215, 1234, 279, 18496, 374, 1524, 2731, 49216, 17100, 685, 369, 549, 815, 13, 32886, 198, 35, 38872, 9607, 301, 11564, 53501, 374, 3318, 449, 279, 25517, 4910, 11, 12799, 12898, 31039, 36565, 23590, 311, 4060, 32413, 47732, 389, 19351, 369, 549, 815, 13, 5220, 6832, 8420, 527, 10434, 449, 477, 41587, 84393, 10373, 627, 14305, 4623, 510, 30998, 485, 279, 19351, 60, 374, 430, 422, 264, 27465, 25283, 1274, 311, 36792, 449, 18969, 1429, 323, 5201, 11, 1243, 433, 3727, 5647, 430, 279, 19683, 1053, 1755, 1274, 311, 52962, 5694, 304, 459, 31308, 11401, 682, 279, 892, 2476, 568, 1071, 13, 2100, 422, 459, 9548, 374, 10434, 449, 459, 2015, 477, 11684, 449, 13018, 9349, 11, 279, 19683, 706, 1903, 433, 2867, 430, 279, 9548, 374, 3685, 311, 1833, 904, 17876, 5897, 19351, 477, 91852, 1853, 627, 3112, 422, 430, 31293, 4536, 1431, 2322, 11, 1288, 430, 387, 2345, 74946, 311, 420, 19351, 2345, 63211, 369, 26434, 477, 23677, 5380, 35, 38872, 9607, 301, 11564, 53501, 26579, 430, 433, 649, 387, 5107, 311, 77277, 422, 264, 12128, 374, 45462, 264, 84393, 2015, 7389, 2225, 279, 12128, 323, 279, 1732, 889, 13019, 279, 2015, 527, 20011, 520, 279, 1890, 2035, 11, 1405, 18105, 649, 6847, 1518, 11, 369, 2937, 11, 422, 279, 4846, 20414, 279, 15629, 11, 304, 20535, 315, 279, 2015, 13, 763, 430, 1162, 11, 568, 1071, 11, 420, 1436, 3392, 311, 62642, 7865, 11, 369, 902, 279, 12128, 649, 387, 70166, 477, 1524, 14219, 627, 4599, 279, 12128, 323, 279, 1732, 889, 13019, 279, 2015, 990, 304, 8821, 7634, 11, 568, 1071, 11, 1070, 527, 5627, 311, 8891, 422, 279, 4846, 374, 45462, 264, 84393, 2015, 13, 1789, 2937, 11, 422, 264, 5590, 706, 14183, 279, 12128, 311, 264, 23911, 8919, 261, 753, 6514, 2068, 11, 279, 19683, 649, 1505, 704, 1555, 279, 3070, 5590, 1887, 422, 279, 12128, 374, 24096, 13, 1442, 264, 5590, 706, 11713, 430, 279, 12128, 539, 3729, 279, 1732, 889, 13019, 279, 2015, 11, 74051, 649, 387, 5225, 311, 3508, 279, 12128, 374, 1701, 2883, 18084, 477, 2883, 384, 11724, 311, 656, 779, 627, 2118, 16298, 889, 8919, 872, 8717, 3629, 656, 2574, 1093, 46789, 323, 65413, 520, 279, 11996, 389, 279, 4641, 1418, 520, 990, 2476, 568, 1071, 13, 1054, 23025, 13124, 315, 28198, 99563, 1057, 2883, 2345, 41450, 10205, 311, 279, 6666, 315, 1148, 584, 1650, 1057, 69835, 90951, 8068, 11, 902, 4696, 1053, 4461, 17302, 420, 1732, 11, 1606, 1884, 13124, 315, 28198, 527, 12266, 369, 1023, 1274, 311, 990, 2212, 13, 1442, 279, 9548, 374, 1701, 2883, 12032, 311, 11737, 872, 2218, 11, 1243, 433, 753, 1633, 4461, 814, 1053, 9229, 872, 2683, 49216, 2520, 810, 2038, 389, 1268, 23096, 15749, 649, 1520, 1893, 30549, 93162, 11, 4587, 1684, 1057, 198, 4944, 2352, 49169, 323, 6075, 12027, 5874, 369, 3754, 11, 3495, 323, 10631, 389, 22973, 701, 8420, 627, 35, 3444, 10785, 31422, 374, 459, 2930, 6576, 14, 13600, 369, 6570, 24575, 627, 2675, 617, 7946, 6924, 420, 2199, 439, 264, 36249, 627, 5618, 7838, 430, 499, 1390, 311, 10570, 449, 34111, 36249, 627, 2675, 617, 7946, 7108, 36249, 627, 5618, 1515, 304, 439, 264, 6570, 24575, 4562, 1603, 14324, 62019, 627, 5618, 1879, 304, 439, 264, 6570, 24575, 4562, 1603, 14324, 62019, 627, 5618, 7782, 264, 6570, 24575, 16250, 1603, 14324, 62019, 627, 2127, 1493, 706, 10222, 198, 57627, 369, 499, 198, 8758, 24575, 12308, 99474, 6826, 198, 8758, 24575, 753, 23096, 46236, 18524, 5727, 927, 220, 18, 11, 1049, 5220 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 3957, 701, 5133, 16054, 11996, 311, 279, 35711, 10037, 8977, 20107, 11967, 8915, 5380, 63602, 25, 1054, 10445, 656, 499, 2744, 656, 430, 12671, 198, 13379, 25, 1054, 5519, 1148, 12671, 198, 63602, 25, 1054, 2675, 10240, 757, 13, 20696, 374, 810, 3062, 311, 499, 1109, 757, 49216, 13379, 25, 1054, 2822, 11, 433, 753, 539, 49216, 63602, 25, 1054, 1687, 1205, 311, 3137, 922, 420, 13, 1472, 3207, 3815, 433, 1457, 49216, 13379, 25, 1054, 40, 1541, 1431, 1518, 279, 3575, 13, 1472, 3207, 927, 3007, 287, 49216, 63602, 25, 1054, 2822, 11, 358, 4344, 539, 18319, 198, 13379, 25, 1054, 40, 1541, 1431, 1390, 311, 3137, 922, 420, 14926, 49216, 63602, 374, 34118, 13, 3842, 374, 73669, 627, 644, 1077, 4007, 315, 220, 16, 11, 3443, 50592, 7931, 927, 220, 966, 1667, 11, 25549, 6335, 469, 13, 386, 23156, 473, 2791, 4910, 1766, 430, 21961, 889, 1051, 16075, 304, 420, 3941, 1051, 520, 279, 8592, 5326, 369, 25549, 13, 8483, 261, 2999, 13, 3842, 69109, 1543, 315, 279, 3907, 315, 6652, 323, 578, 69109, 1543, 10181, 11, 1101, 10555, 430, 420, 40652, 5497, 374, 459, 9193, 4279, 5353, 315, 25549, 13, 1283, 8349, 430, 422, 2163, 81261, 11, 279, 10037, 8977, 88359, 11967, 5497, 690, 3136, 1139, 264, 2132, 11103, 477, 17876, 32487, 12135, 627, 3923, 374, 433, 7041, 5380, 1016, 261, 60329, 323, 3229, 11, 2999, 13, 5340, 65670, 445, 42472, 94594, 279, 5497, 1093, 420, 627, 32, 8427, 449, 34118, 7865, 28335, 311, 6013, 311, 5133, 8631, 555, 7366, 9017, 279, 1023, 13, 2435, 6056, 10758, 11, 10430, 11, 311, 456, 71, 29668, 11, 323, 7645, 13, 2435, 527, 34771, 304, 872, 9045, 311, 5155, 1148, 814, 1781, 374, 5076, 13, 2435, 527, 38100, 922, 279, 6138, 872, 8427, 706, 3549, 323, 1935, 433, 16102, 13, 2435, 61730, 872, 8427, 369, 1694, 38683, 36087, 13, 2435, 4510, 814, 617, 16757, 2819, 13, 1442, 814, 3775, 311, 4667, 11, 814, 690, 18678, 1139, 264, 9439, 11, 45017, 1614, 13, 2435, 527, 30929, 83563, 11, 26192, 11, 323, 37628, 3252, 627, 32, 8427, 449, 73669, 7865, 28335, 311, 6013, 311, 5133, 8631, 555, 7366, 3201, 505, 279, 1023, 13, 2435, 1390, 7106, 323, 14604, 6138, 13, 2435, 617, 17250, 449, 34104, 13, 2435, 6013, 311, 872, 18547, 555, 2160, 73910, 1139, 1023, 7640, 311, 64917, 5694, 13, 2435, 1518, 5694, 439, 879, 323, 659, 5621, 747, 519, 13, 2435, 527, 1455, 5603, 481, 994, 814, 1541, 1431, 2733, 75451, 11, 15753, 11, 477, 46531, 13, 2435, 527, 30929, 36087, 11, 81612, 11, 323, 9495, 1523, 627, 9023, 13, 445, 42472, 3585, 704, 279, 12939, 315, 49183, 430, 14188, 5497, 374, 5076, 13, 763, 264, 4725, 5133, 11, 584, 1253, 3604, 1935, 10800, 48810, 832, 3560, 477, 279, 1023, 13, 44454, 12135, 649, 3790, 279, 8631, 449, 27848, 5201, 323, 35996, 13, 11995, 8717, 527, 8010, 315, 872, 7865, 323, 527, 10032, 311, 7652, 433, 369, 279, 8935, 315, 279, 5133, 627, 791, 3575, 430, 1455, 17037, 11767, 311, 279, 49212, 2785, 315, 279, 11103, 374, 994, 8717, 3719, 82144, 304, 279, 13073, 13, 1442, 2555, 1587, 539, 2349, 11, 2225, 3240, 311, 2733, 32614, 323, 2274, 46454, 369, 1855, 1023, 2345, 20375, 315, 279, 3682, 10163, 12195, 430, 872, 11103, 374, 58737, 311, 3775, 11, 4184, 311, 2999, 13, 69109, 1543, 627, 3923, 1587, 433, 1427, 1093, 5380, 32, 4279, 15398, 374, 1405, 264, 7555, 374, 1633, 38100, 927, 279, 6996, 315, 10758, 505, 1077, 10177, 13, 3005, 6944, 1461, 311, 1825, 709, 311, 1077, 810, 13, 3005, 6944, 1461, 311, 387, 810, 20134, 323, 311, 4667, 449, 1077, 779, 814, 649, 990, 389, 3794, 3235, 2731, 13, 5414, 2077, 374, 11, 1054, 40, 1541, 1431, 1440, 1148, 499, 3207, 7556, 922, 49216, 4516, 1364, 41802, 16127, 323, 568, 11031, 3201, 13, 6385, 33086, 5039, 439, 1364, 12302, 311, 61730, 1461, 323, 568, 4780, 279, 56673, 13, 3005, 9221, 19021, 323, 568, 22890, 459, 14604, 7147, 315, 31398, 627, 8100, 649, 1431, 13085, 3249, 568, 2834, 1431, 1518, 1268, 5076, 323, 52496, 568, 374, 13, 1283, 649, 1431, 4510, 1364, 3250, 1431, 1440, 1268, 28743, 323, 28860, 1077, 7410, 11321, 311, 1461, 627, 9023, 13, 69109, 1543, 13919, 430, 279, 31954, 315, 3026, 311, 15142, 323, 3278, 311, 23564, 374, 53221, 1139, 1057, 78152, 323, 27053, 264, 6913, 10026, 6811, 627, 40, 4344, 539, 779, 2771, 922, 430, 13, 358, 4070, 3970, 779, 1690, 10507, 1405, 279, 13073, 1051, 28537, 433, 1053, 5101, 34118, 477, 73669, 374, 810, 922, 17743, 1109, 10026, 627, 40, 4070, 71022, 22700, 315, 3026, 889, 1051, 279, 2539, 7394, 10037, 8977, 304, 872, 5133, 13, 2435, 46531, 1877, 11, 14604, 3717, 11, 37805, 11, 10758, 11, 35996, 11, 6666, 11, 323, 5201, 13, 11205, 11249, 26411, 1051, 28812, 13, 2435, 34558, 17235, 96689, 97657, 323, 25442, 6105, 902, 19168, 7953, 264, 10712, 430, 1364, 574, 5076, 13, 2052, 1364, 4460, 311, 656, 574, 7655, 323, 636, 449, 279, 2068, 13, 2435, 3287, 1431, 3009, 3156, 814, 2751, 9306, 13, 2435, 9687, 430, 2646, 8741, 627, 21279, 3026, 323, 3278, 649, 387, 5128, 1695, 10037, 84525, 13, 358, 1781, 279, 10151, 374, 1888, 1511, 369, 34118, 27848, 23871, 4856, 1109, 1057, 1866, 71329, 627, 10445, 1587, 433, 5030, 5380, 40, 617, 912, 2944, 311, 11249, 2999, 13, 69109, 1543, 753, 10334, 389, 10026, 3196, 10037, 8977, 88359, 11967, 12912, 13, 578, 3495, 555, 69109, 1543, 323, 473, 2791, 4910, 374, 3062, 13, 1102, 649, 3665, 47451, 477, 3665, 459, 3927, 505, 264, 2324, 315, 3958, 12135, 627, 791, 3495, 77039, 3177, 389, 279, 9193, 4279, 30295, 430, 3621, 304, 18254, 12135, 449, 18254, 1274, 13, 1102, 6835, 4221, 323, 20616, 311, 279, 11555, 11, 21958, 11, 323, 28198, 902, 21356, 5353, 279, 842, 315, 12135, 13, 578, 8844, 13443, 1541, 1431, 5030, 439, 1790, 439, 1148, 264, 1732, 41011, 311, 656, 449, 279, 2038, 627, 4897, 753, 682, 430, 3596, 13146, 994, 433, 4131, 311, 1057, 12135, 13, 3639, 17371, 11709, 690, 584, 1304, 30, 3639, 690, 584, 1755, 315, 13520, 304, 1057, 11555, 11, 21958, 11, 323, 28198, 311, 5376, 279, 29736, 315, 264, 6380, 11, 49150, 11, 323, 52876, 5133, 5380, 2409, 6300, 2038, 323, 39375, 11, 3823, 23837, 649, 5268, 1268, 814, 690, 6013, 311, 5133, 8631, 323, 37304, 55517, 19347, 323, 46454, 627, 7009, 649, 387, 264, 2753, 19738, 10037, 8977, 323, 264, 810, 17045, 1612, 11967, 422, 814, 1390, 311, 387, 627, 4071, 10037, 84525, 2011, 733, 1176, 198, 9023, 13, 445, 42472, 8554, 2555, 358, 1518, 21356, 449, 8762, 8403, 889, 527, 10037, 84525, 627, 14305, 10037, 8977, 374, 279, 832, 304, 810, 35104, 922, 279, 6138, 11, 323, 810, 27762, 311, 2349, 279, 5497, 13, 1789, 420, 2944, 11, 279, 10037, 8977, 374, 3629, 1888, 10434, 555, 42687, 5627, 311, 1650, 1022, 279, 33436, 17223, 1070, 527, 5627, 311, 51136, 449, 264, 73669, 8427, 430, 1541, 1431, 21736, 19738, 34118, 13, 362, 1612, 11967, 1253, 2733, 43251, 922, 1268, 2574, 527, 2133, 304, 264, 5133, 11, 719, 568, 477, 1364, 374, 2103, 810, 4461, 311, 10519, 279, 2704, 41608, 1109, 311, 3351, 9017, 264, 8427, 889, 374, 304, 33436, 3941, 49216, 2028, 374, 279, 8903, 17011, 555, 279, 10037, 8977, 3026, 358, 990, 449, 13, 5414, 1612, 11967, 8427, 753, 5845, 311, 10519, 279, 2704, 41608, 374, 4059, 293, 16499, 2785, 13, 3005, 690, 4822, 304, 1612, 11967, 3941, 369, 1667, 1418, 568, 13912, 4560, 279, 1890, 2362, 26411, 13, 3005, 11321, 85452, 311, 3351, 9017, 1461, 1606, 1364, 3966, 1176, 311, 2733, 264, 4984, 315, 279, 19428, 7410, 315, 813, 60135, 33436, 627, 791, 5536, 389, 264, 5333, 753, 5845, 311, 7095, 505, 1667, 315, 33436, 649, 387, 23205, 13, 1102, 753, 2653, 369, 1461, 311, 3619, 1077, 8850, 323, 67233, 922, 51136, 287, 13, 1050, 24177, 7095, 7612, 264, 13263, 323, 74436, 4907, 315, 26586, 323, 5201, 13, 3005, 6944, 311, 2733, 2753, 7410, 11, 2753, 19971, 11, 323, 2753, 19788, 627, 4599, 568, 41011, 311, 3619, 323, 36681, 553, 449, 1521, 9200, 3966, 315, 11074, 11, 568, 649, 5268, 264, 502, 40543, 13, 1283, 649, 70903, 4128, 1203, 323, 5357, 389, 1023, 2574, 13, 1283, 649, 3021, 1077, 304, 5627, 430, 6958, 1077, 9017, 1461, 4619, 315, 17919, 1077, 3201, 13, 1283, 649, 5268, 311, 4048, 1148, 430, 3445, 369, 1077, 627, 3923, 422, 1364, 374, 279, 10037, 8977, 5380, 36064, 17208, 279, 1890, 13, 3005, 706, 279, 1890, 12014, 627, 4071, 1612, 32842, 84905, 198, 9023, 13, 445, 42472, 1101, 6835, 264, 10163, 311, 1612, 32842, 627, 61603, 1612, 32842, 84905, 25, 9176, 8717, 11, 39019, 555, 1667, 315, 34118, 323, 8430, 86560, 11, 5387, 264, 5133, 477, 11103, 15187, 13, 3277, 264, 1612, 11967, 52694, 430, 264, 8427, 1253, 3604, 4321, 704, 11, 568, 477, 1364, 1253, 18791, 1139, 264, 2361, 315, 19428, 33436, 13, 2030, 433, 1253, 387, 2288, 3389, 49216, 3923, 1587, 420, 3152, 369, 1612, 32842, 5380, 8100, 2011, 13383, 279, 2410, 1364, 10187, 304, 1268, 1364, 41011, 311, 6013, 311, 813, 12876, 369, 3717, 13, 362, 5873, 311, 1893, 16024, 315, 8850, 323, 40206, 447, 2826, 304, 1077, 8427, 1101, 62058, 1154, 1077, 1866, 6140, 369, 264, 42093, 5133, 627, 8100, 2011, 387, 8010, 315, 1148, 1364, 374, 31526, 323, 3249, 13, 4702, 1606, 1077, 8427, 374, 3577, 1711, 1077, 3250, 1431, 1304, 1461, 5076, 13, 10926, 813, 17078, 527, 13579, 323, 1364, 374, 70441, 8430, 14400, 627, 22105, 568, 374, 8260, 1077, 704, 389, 2555, 1364, 8964, 74777, 1664, 1436, 387, 13241, 11, 719, 1364, 594, 812, 1461, 22364, 433, 704, 13, 3005, 2011, 387, 10978, 449, 11937, 627, 3112, 422, 568, 374, 9615, 1694, 59525, 323, 28743, 11, 1364, 1288, 3094, 1314, 1139, 813, 3634, 323, 73170, 3371, 1461, 779, 2085, 65437, 13, 3005, 1288, 32620, 2559, 1077, 5015, 11, 719, 505, 264, 2035, 315, 3021, 323, 5201, 627, 791, 12047, 3245, 369, 264, 10037, 8977, 311, 2733, 374, 100177, 13, 3277, 814, 527, 2728, 279, 8352, 315, 22785, 9546, 323, 6666, 814, 527, 3025, 311, 12234, 323, 1203, 1022, 779, 1790, 8831, 1389, 1524, 422, 499, 29395, 627, 2173, 3388, 11, 264, 893, 889, 374, 73669, 706, 279, 1890, 12014, 627, 25639, 682, 555, 6261, 198, 32876, 2225, 1274, 656, 872, 990, 520, 279, 1890, 892, 304, 2015, 311, 12731, 279, 5497, 5380, 2822, 13, 1628, 23132, 430, 311, 3621, 690, 48291, 7958, 872, 5845, 311, 1212, 3339, 872, 1866, 4442, 627, 11569, 2011, 387, 16625, 555, 264, 12876, 311, 387, 264, 2731, 8427, 63938, 311, 636, 1063, 9888, 1121, 477, 25455, 28787, 367, 13, 71760, 84525, 527, 3967, 369, 1694, 15632, 18222, 323, 617, 264, 2653, 892, 3339, 4442, 2085, 17078, 13, 28704, 32842, 527, 3967, 369, 1694, 52496, 323, 617, 17250, 3339, 279, 1176, 3351, 994, 1234, 7410, 627, 4599, 832, 1732, 3727, 264, 15507, 311, 2349, 872, 5603, 323, 872, 14847, 11, 389, 264, 13263, 8197, 11, 872, 5133, 690, 2349, 13, 578, 1176, 2349, 374, 499, 8430, 2731, 922, 6261, 13, 578, 2132, 2349, 374, 14614, 701, 8427, 8430, 1695, 922, 499, 8430, 1695, 627, 2028, 374, 264, 2216, 3831, 1212, 13, 1102, 649, 1193, 636, 2731, 505, 1070, 627, 5159, 502, 2363, 46910, 19513, 14173, 369, 279, 3959, 80213, 74459, 690, 1520, 499, 311, 3063, 6261, 323, 701, 5133, 1203, 311, 1695, 2890, 13, 71994, 3249, 701, 8427, 14385, 279, 1648, 1364, 1587, 9017, 499, 323, 4048, 1268, 311, 3063, 701, 2324, 304, 279, 5216, 499, 1390, 433, 311, 733, 13, 1472, 20076, 617, 279, 5133, 499, 1390, 11, 50698, 682, 701, 32097, 1418, 20958, 3021, 323, 5201, 627, 40, 6267, 264, 1949, 384, 34740, 311, 1520, 3026, 4048, 1268, 311, 9229, 872, 8850, 323, 387, 810, 14265, 304, 872, 11103, 311, 1893, 279, 3021, 323, 3717, 814, 1390, 13, 2175, 578, 11481, 311, 4593, 7331, 30198, 10180, 49538, 4718, 47199, 19804, 198, 2746, 499, 1390, 311, 4048, 810, 922, 1268, 311, 1935, 264, 11493, 3094, 9017, 1694, 264, 2867, 62166, 11, 16913, 893, 315, 1957, 11, 1243, 1505, 704, 810, 1618, 13, 358, 1053, 387, 38564, 311, 1520, 499, 636, 1070, 1389, 1057, 1176, 18841, 1650, 374, 2744, 1949, 323, 2744, 6835, 499, 264, 37954, 7916, 315, 12410, 627, 2675, 29015, 3719, 264, 49479, 11, 16643, 11, 810, 16913, 893, 1193, 1555, 1023, 3026, 13, 4718 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 20989, 4861, 304, 682, 4595, 315, 19833, 14365, 1389, 28266, 198, 10267, 603, 1520, 499, 923, 304, 13444, 323, 4868, 311, 701, 2162, 13, 3161, 1690, 1667, 315, 19833, 6134, 19248, 11, 499, 527, 304, 9250, 6206, 627, 1187, 14, 22, 32708, 39996, 25166, 23508, 198, 7749, 94957, 24119, 81537, 198, 8906, 4073, 11450, 4999, 2460, 39996, 50717, 198, 11342, 482, 31502, 11, 220, 23, 309, 482, 220, 20, 5298, 198, 44, 306, 606, 11, 23225, 220, 16874, 19, 198, 7, 2839, 8, 220, 22638, 19, 220, 19944, 15, 627, 10445, 22991, 39996, 25166, 8471, 198, 96144, 279, 8475, 19833, 6134, 2883, 374, 48696, 13, 2684, 527, 3892, 8125, 311, 1205, 264, 6721, 994, 14892, 449, 4395, 19833, 6134, 5552, 627, 45030, 425, 14365, 527, 4785, 88, 323, 51024, 13, 1472, 1205, 311, 7095, 264, 24687, 311, 1935, 2512, 315, 682, 14028, 323, 13023, 3600, 369, 701, 9313, 13, 23212, 11, 1070, 527, 264, 2294, 3568, 315, 11709, 994, 433, 18713, 1771, 311, 26012, 304, 264, 502, 19833, 6134, 13, 3161, 264, 2763, 315, 19833, 14365, 2561, 46877, 11, 433, 649, 387, 14738, 17436, 311, 3820, 832, 11, 11951, 422, 499, 4070, 2646, 4460, 311, 1427, 2212, 369, 264, 502, 6134, 8767, 13, 3234, 539, 1440, 7041, 1405, 311, 1212, 1022, 5380, 19118, 1057, 15749, 1618, 520, 2052, 39996, 50717, 311, 1520, 499, 449, 682, 701, 19833, 6134, 3966, 627, 8140, 7451, 323, 26028, 198, 36724, 3296, 2052, 39996, 50717, 10790, 198, 2460, 39996, 50717, 374, 12514, 311, 2532, 323, 907, 2085, 76100, 904, 315, 279, 1176, 15144, 4367, 430, 706, 743, 603, 709, 439, 264, 369, 261, 55515, 304, 20658, 19833, 2532, 439, 1664, 439, 14028, 315, 19833, 14365, 627, 1687, 617, 7946, 9749, 1633, 1579, 10886, 315, 15193, 4367, 11, 6904, 2968, 304, 1057, 3956, 323, 1057, 3600, 13, 1226, 10519, 459, 9193, 1579, 2237, 315, 15374, 50801, 439, 994, 584, 1176, 9107, 1057, 14365, 627, 1687, 36179, 3927, 5357, 323, 9250, 907, 369, 1475, 832, 315, 1057, 13723, 627, 13730, 5046, 5751, 8351, 198, 791, 1912, 520, 2052, 39996, 50717, 706, 9076, 1057, 52860, 304, 27535, 22834, 11, 449, 19833, 6134, 10105, 369, 1667, 11, 323, 584, 3619, 1268, 3062, 1521, 13124, 315, 19833, 6134, 14028, 323, 65918, 374, 627, 1687, 22519, 13520, 389, 10151, 3725, 6574, 1855, 832, 315, 701, 19833, 6134, 3966, 26, 1057, 2883, 6209, 1862, 323, 18726, 430, 20461, 1148, 374, 1888, 369, 499, 11, 701, 3070, 3697, 323, 701, 22423, 13, 5751, 16801, 706, 8774, 603, 2133, 3831, 369, 1690, 1667, 13, 1226, 2216, 1390, 1057, 8403, 311, 7095, 304, 603, 369, 682, 872, 19833, 6134, 8670, 13, 1226, 10788, 904, 955, 315, 10708, 311, 8854, 682, 1057, 11761, 753, 3966, 11, 1938, 477, 3814, 11, 220, 12676, 2919, 264, 1060, 13, 1226, 527, 279, 10973, 1888, 19833, 6134, 2883, 1606, 315, 1057, 12738, 2128, 315, 6335, 6721, 19833, 6134, 4685, 388, 627, 14953, 449, 603, 1314, 1457, 779, 584, 649, 1501, 499, 1475, 2697, 3245, 584, 527, 13171, 315, 4999, 1687, 8886, 578, 59143, 39996, 25166, 92794, 304, 27535, 22834, 198, 8586, 520, 2052, 39996, 50717, 11, 584, 3493, 6721, 3600, 3814, 323, 1938, 11, 17510, 42117, 4207, 264, 1938, 11, 8254, 2919, 264, 2046, 13, 5751, 15337, 323, 16572, 2532, 53459, 527, 16572, 323, 23759, 311, 8312, 1176, 15144, 3600, 311, 1057, 8403, 627, 1187, 14, 22, 32708, 16528, 198, 75392, 323, 21931, 198, 1687, 527, 96525, 198, 1305, 28244, 4028, 279, 4580, 304, 682, 13918, 315, 19833, 6134, 13023, 323, 14028, 627, 75392, 28266, 17381, 198, 1687, 617, 264, 1633, 7701, 16572, 10534, 19833, 6134, 1912, 627, 1687, 3085, 220, 1187, 14, 22, 1862, 10105, 369, 682, 701, 10742, 627, 29951, 323, 1505, 603, 1389, 584, 527, 2744, 2561, 4999, 4599, 433, 18065, 19833, 14365, 11, 2052, 39996, 50717, 374, 279, 1455, 22542, 836, 304, 27535, 22834, 13, 5751, 6444, 304, 27535, 22834, 1427, 311, 603, 1606, 1057, 2532, 35416, 617, 3892, 1667, 315, 6335, 3217, 304, 279, 19833, 6134, 5064, 13, 1226, 2744, 733, 704, 315, 1057, 1648, 311, 1304, 1057, 52860, 35072, 323, 7373, 20097, 627, 3923, 5751, 8589, 25961, 10180, 4073, 198, 8140, 11909, 2980, 433, 264, 26632, 311, 636, 32069, 1139, 1057, 6130, 753, 15316, 369, 872, 19833, 6134, 3966, 13, 1226, 8312, 1948, 51554, 3600, 1475, 892, 13, 12522, 264, 34522, 520, 1148, 264, 5743, 315, 1057, 20097, 13723, 617, 311, 2019, 627, 3923, 264, 435, 2891, 6483, 1341, 2883, 4999, 40, 1097, 779, 6380, 449, 1057, 502, 19833, 6134, 13, 4314, 11909, 3782, 704, 323, 1047, 1057, 502, 19833, 6134, 2231, 709, 56651, 323, 69704, 13, 3161, 9250, 7729, 323, 6335, 2532, 11, 358, 1097, 927, 4215, 291, 449, 1057, 6727, 4999, 25310, 323, 49517, 5475, 4999, 8140, 19833, 6134, 14760, 3389, 304, 279, 11714, 4207, 13, 1226, 25559, 2626, 11, 323, 814, 8710, 709, 2085, 7781, 311, 1935, 264, 1427, 13, 2435, 37065, 1057, 4360, 1633, 6288, 13, 1226, 527, 5115, 6380, 449, 279, 1862, 3600, 315, 701, 2883, 13, 11361, 1578, 4999, 7816, 8245, 10180, 27535, 22834, 198, 1687, 4685, 19833, 14365, 304, 1521, 48013, 198, 791, 39996, 25166, 40245, 51859, 763, 27535, 22834, 198, 4387, 701, 6484, 19833, 6134, 477, 2737, 264, 502, 19833, 6134, 311, 701, 1841, 403, 477, 25351, 449, 603, 627, 45030, 425, 50717, 923, 8935, 11, 907, 612, 4868, 311, 701, 2162, 477, 22139, 627, 8906, 603, 279, 311, 617, 701, 84969, 6767, 612, 12929, 28902, 449, 832, 315, 1057, 7701, 26611, 323, 15337, 2532, 53459, 627, 1687, 527, 11411, 311, 23391, 701, 19833, 374, 6220, 612, 2682, 612, 3411, 1202, 1888, 449, 17832, 64864, 612, 2853, 627, 2746, 499, 527, 3411, 369, 264, 68503, 6134, 311, 923, 1742, 323, 907, 311, 701, 2162, 11, 499, 4250, 733, 3347, 264, 6883, 23065, 7090, 2922, 2130, 19833, 6134, 14039, 320, 19171, 14183, 311, 439, 264, 93460, 6134, 4390, 2675, 649, 3820, 505, 264, 4101, 315, 9404, 323, 8146, 430, 1888, 7937, 701, 2162, 2955, 13, 1472, 649, 1524, 923, 11276, 311, 701, 6883, 23065, 19833, 6134, 4999, 2746, 499, 1053, 1093, 264, 15193, 6134, 14039, 311, 3604, 743, 701, 2162, 10980, 11, 5268, 505, 832, 315, 1057, 4382, 2671, 13, 1226, 3207, 810, 1109, 6380, 311, 7079, 499, 389, 279, 1888, 10778, 369, 701, 3838, 627, 95813, 264, 4367, 2027, 374, 1120, 4376, 279, 10368, 13, 1442, 499, 12876, 9096, 315, 4059, 430, 701, 502, 93460, 19833, 6134, 690, 1629, 30820, 323, 12544, 12862, 369, 1690, 1667, 311, 2586, 11, 1243, 6642, 11335, 459, 7718, 2449, 13, 1102, 374, 5107, 311, 8417, 279, 3217, 323, 5845, 315, 701, 19833, 6134, 44152, 3156, 1306, 279, 2683, 374, 8220, 320, 438, 2736, 433, 649, 387, 3117, 2288, 3389, 0, 4390, 1687, 527, 779, 6928, 315, 279, 4367, 315, 1057, 3956, 323, 1057, 14028, 990, 11, 430, 584, 3041, 499, 220, 22, 1060, 8642, 12756, 1949, 389, 904, 502, 93460, 19833, 6134, 15075, 323, 10487, 555, 603, 13, 2650, 753, 26336, 369, 9096, 315, 4059, 5380, 33455, 261, 25166, 14908, 763, 27535, 22834, 198, 1687, 527, 264, 6522, 19833, 6134, 13023, 990, 14, 14028, 2626, 304, 27535, 22834, 4245, 311, 1057, 9193, 16572, 612, 10534, 2532, 53459, 323, 1057, 30598, 323, 649, 656, 19451, 7119, 1057, 6444, 13, 5751, 2450, 304, 279, 19833, 6134, 5064, 9731, 311, 3139, 439, 6444, 3719, 810, 323, 810, 42066, 922, 279, 3451, 67, 347, 4680, 529, 4375, 1694, 11953, 704, 555, 1063, 1023, 13612, 45465, 1742, 315, 20197, 304, 279, 5064, 13, 1226, 3619, 499, 690, 220, 1041, 4, 328, 47365, 449, 1057, 3600, 323, 387, 6380, 311, 7079, 603, 311, 682, 701, 3070, 323, 4885, 627, 1687, 81938, 2015, 1475, 29551, 14365, 311, 1855, 8736, 311, 6106, 264, 1888, 5052, 369, 11113, 5784, 612, 39665, 13, 11579, 14, 7238, 477, 81908, 45642, 50717, 11, 499, 649, 17631, 389, 13, 1226, 3085, 279, 1888, 3072, 369, 701, 19833, 6134, 8670, 627, 33455, 261, 25166, 79291, 763, 27535, 22834, 512, 6806, 350, 3271, 291, 5740, 7090, 11184, 12838, 701, 19833, 37248, 617, 264, 31332, 30, 2360, 38145, 11, 584, 649, 617, 264, 55035, 4018, 1139, 279, 5740, 7090, 627, 6806, 5955, 16076, 7108, 11184, 2209, 701, 29551, 6134, 9048, 1534, 30, 8595, 539, 22472, 279, 4219, 5409, 369, 264, 58905, 6381, 311, 701, 6883, 23065, 29551, 6134, 627, 6806, 3562, 65339, 9718, 11184, 20305, 701, 1933, 65339, 1933, 311, 2713, 279, 28362, 315, 701, 2162, 13, 1472, 649, 2489, 311, 6484, 8146, 477, 1304, 264, 734, 315, 701, 29551, 14365, 27535, 627, 13129, 950, 39996, 25166, 37543, 763, 27535, 22834, 198, 791, 1455, 4279, 5435, 430, 12446, 449, 19833, 14365, 6824, 315, 25, 29551, 6134, 57953, 20324, 11, 20673, 5424, 11, 16075, 8036, 477, 1825, 11, 16264, 20684, 539, 9651, 11, 13147, 4984, 16075, 11, 5409, 69964, 20727, 11, 6134, 8987, 311, 4933, 11, 6134, 26156, 323, 539, 9861, 304, 1825, 2361, 11, 4585, 12726, 2585, 539, 3318, 11, 9048, 4401, 719, 6134, 539, 7366, 11, 29551, 6134, 17813, 477, 32232, 1802, 11, 36021, 12248, 11, 3177, 539, 3318, 11, 11102, 42242, 11, 80934, 20727, 11, 23529, 30280, 627, 8140, 39996, 25166, 28266, 8471, 763, 27535, 22834, 198, 12, 9785, 12414, 14242, 198, 12, 15895, 323, 312, 9841, 198, 12, 9785, 323, 54494, 349, 52155, 6612, 389, 682, 3116, 11314, 198, 12, 15895, 11, 7652, 323, 312, 2442, 2711, 5419, 42242, 198, 12, 9785, 323, 326, 3845, 78306, 389, 2225, 11314, 198, 12, 3402, 87220, 9048, 11, 7652, 279, 1825, 323, 3345, 9669, 323, 5457, 28174, 198, 12, 28295, 11, 312, 2442, 2711, 323, 54494, 349, 42242, 198, 12, 4343, 323, 8631, 682, 31049, 323, 49939, 198, 12, 47169, 9009, 1948, 4124, 9392, 33964, 198, 12, 3402, 87220, 9048, 11, 7652, 279, 1825, 323, 3345, 13693, 323, 5457, 28174, 198, 12, 9785, 11, 2349, 323, 326, 3845, 13587, 35553, 198, 12, 30658, 13619, 198, 12, 30658, 30304, 198, 35, 16243, 39996, 25166, 763, 27535, 22834, 25, 3639, 12540, 1472, 3234, 5380, 4599, 499, 617, 264, 294, 16243, 19833, 6134, 304, 27535, 22834, 11, 499, 2643, 387, 20134, 311, 7363, 16671, 13, 2360, 5030, 1268, 279, 5674, 3952, 2035, 11, 682, 499, 649, 1781, 315, 374, 279, 13893, 3682, 13023, 4121, 4460, 311, 15301, 701, 6134, 311, 1202, 3766, 4832, 3044, 627, 10438, 499, 1650, 264, 13023, 990, 6721, 11, 24564, 279, 5674, 15884, 13, 1472, 1253, 387, 3025, 311, 13023, 279, 3575, 555, 6261, 2085, 279, 13291, 315, 459, 6335, 11, 4869, 1120, 422, 279, 6134, 374, 1903, 505, 4040, 3769, 323, 279, 5674, 374, 539, 2288, 16195, 627, 3957, 279, 21428, 2057, 578, 39996, 25166, 3804, 77057, 5380, 32, 19833, 6134, 2643, 7831, 264, 18653, 369, 12387, 9547, 11, 1063, 52605, 810, 3682, 5674, 1109, 3885, 13, 1442, 264, 13260, 8640, 1139, 279, 6134, 477, 264, 19794, 293, 31044, 304, 279, 5076, 5216, 11, 264, 2697, 17962, 2643, 1121, 13, 4452, 422, 459, 35528, 28678, 1139, 279, 6134, 11, 1070, 753, 264, 7191, 6140, 279, 4459, 19833, 6134, 7090, 1253, 5882, 11, 11000, 14718, 5066, 5674, 430, 1253, 1205, 810, 16781, 990, 1109, 649, 387, 8220, 304, 279, 3838, 627, 3923, 10441, 2209, 279, 25166, 19332, 5046, 5380, 49492, 14365, 430, 617, 3604, 12786, 2295, 291, 477, 1027, 93136, 3640, 2643, 1455, 8935, 505, 264, 6721, 753, 5916, 13, 35053, 11, 422, 279, 14365, 527, 1903, 315, 25468, 9699, 477, 25674, 11, 2697, 294, 812, 1253, 387, 8521, 449, 279, 1314, 7526, 11, 7384, 323, 5528, 627, 2149, 19344, 43911, 28266, 5664, 763, 27535, 22834, 198, 2149, 19344, 374, 279, 30689, 3169, 315, 19833, 6134, 3769, 311, 13023, 13, 59656, 11, 636, 264, 281, 607, 315, 3090, 11, 12269, 27883, 11, 264, 69448, 11, 264, 30673, 477, 8798, 29062, 11, 259, 2801, 321, 11, 323, 264, 649, 315, 31749, 3805, 13, 22748, 279, 15994, 449, 8369, 3090, 323, 923, 1193, 832, 6068, 315, 12269, 27883, 323, 23935, 18813, 13, 33234, 392, 279, 294, 16243, 3158, 311, 636, 9463, 315, 682, 19252, 323, 342, 3200, 13, 6914, 279, 7858, 3805, 9235, 4972, 311, 14691, 627, 5971, 11, 6767, 323, 4018, 264, 3857, 315, 259, 2801, 321, 323, 5155, 433, 927, 279, 18653, 449, 17401, 13, 23588, 279, 8798, 29062, 477, 30673, 35678, 927, 279, 259, 2801, 321, 369, 832, 9568, 779, 8798, 374, 3288, 311, 279, 294, 16243, 3158, 13, 11016, 279, 47499, 323, 22571, 23749, 279, 75826, 3805, 4028, 279, 3158 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2127, 80953, 54752, 198, 791, 42071, 2450, 315, 279, 9742, 311, 58240, 4901, 55424, 988, 19176, 627, 18422, 555, 16431, 435, 1540, 689, 11, 95385, 18217, 6083, 11, 323, 23880, 432, 13856, 198, 6182, 311, 58240, 25, 578, 220, 6549, 339, 47898, 27643, 369, 19176, 574, 459, 24674, 2450, 13, 578, 15507, 315, 52121, 11, 4885, 11, 41582, 11, 13166, 8717, 11, 22291, 11, 5687, 323, 1524, 4236, 706, 13241, 19176, 753, 53008, 11, 65208, 34225, 10736, 369, 4236, 11, 92785, 279, 12374, 753, 3495, 20790, 11, 7319, 5070, 369, 22291, 323, 24872, 4029, 28271, 627, 4599, 279, 4901, 6137, 304, 220, 1049, 17, 11, 19176, 439, 11986, 311, 512, 6806, 5376, 8336, 315, 6020, 12576, 311, 8108, 5575, 11897, 198, 6806, 31370, 279, 1396, 315, 98728, 14561, 18143, 323, 26993, 311, 9504, 1690, 810, 1917, 15144, 31839, 198, 6806, 1977, 11084, 502, 13077, 311, 3085, 220, 1691, 267, 34457, 6975, 11704, 198, 6806, 23564, 279, 1317, 9860, 5915, 315, 23862, 4315, 279, 1948, 586, 3495, 53008, 304, 279, 7140, 198, 6806, 20259, 1202, 4029, 40705, 323, 1893, 502, 6305, 11, 311, 97168, 1202, 5536, 304, 279, 5654, 323, 2212, 279, 1917, 198, 1383, 1202, 3345, 304, 6790, 220, 1049, 24, 11, 810, 1109, 400, 13897, 3610, 1047, 1027, 9408, 1555, 279, 9742, 311, 58240, 4901, 11, 53120, 287, 1202, 4113, 400, 3101, 3610, 323, 1524, 1202, 11838, 400, 8652, 3610, 37419, 9021, 13, 4314, 10736, 617, 24411, 19176, 323, 617, 9147, 279, 15244, 311, 743, 502, 10886, 304, 279, 24978, 323, 7953, 627, 791, 2450, 315, 9742, 311, 58240, 1101, 15785, 459, 24674, 13353, 1486, 369, 279, 19176, 4029, 13, 76526, 323, 4885, 2744, 617, 1027, 25429, 15879, 315, 279, 12374, 430, 706, 9087, 311, 6211, 872, 6439, 13, 4452, 11, 279, 3335, 15680, 2450, 315, 9742, 311, 58240, 32216, 430, 264, 502, 11, 16643, 7829, 315, 29759, 9341, 323, 20852, 706, 22088, 627, 75776, 11, 23944, 323, 2653, 64992, 11, 4236, 527, 520, 279, 4219, 315, 9742, 311, 58240, 13, 578, 4901, 20034, 311, 5376, 38559, 12, 323, 1205, 6108, 1862, 4028, 682, 220, 1114, 315, 279, 12374, 753, 8853, 323, 31252, 323, 810, 1109, 220, 9588, 8547, 7620, 11, 8405, 810, 4236, 449, 2680, 311, 264, 19176, 6873, 627, 6182, 311, 58240, 26399, 304, 7999, 810, 1109, 400, 2721, 3610, 311, 279, 12374, 753, 34225, 5070, 11, 323, 220, 13384, 502, 5575, 34225, 10736, 617, 1027, 3549, 2533, 220, 1049, 17, 627, 7816, 1109, 220, 1049, 34225, 10736, 449, 1205, 6108, 13186, 617, 1027, 9749, 11, 24950, 505, 4689, 1862, 311, 55855, 449, 1633, 3230, 8670, 3196, 389, 264, 5575, 753, 3158, 315, 14584, 2802, 11, 813, 477, 1077, 4092, 477, 1023, 9547, 13, 1115, 31069, 1862, 3445, 810, 19176, 4236, 649, 23564, 872, 58724, 304, 279, 24978, 11, 304, 279, 4029, 323, 304, 279, 3318, 1917, 627, 32, 1917, 15144, 22291, 374, 7718, 311, 14584, 38656, 13, 100123, 45724, 6211, 279, 30676, 11, 36528, 14992, 18105, 323, 31740, 4236, 311, 23564, 872, 9021, 13, 2057, 3136, 12967, 23944, 48709, 323, 12074, 311, 15679, 11, 19176, 16495, 311, 5376, 279, 1396, 315, 98728, 10736, 323, 1023, 6020, 5070, 96208, 43161, 369, 22291, 13, 1666, 264, 1121, 11, 810, 1109, 400, 508, 3610, 574, 9408, 53611, 369, 420, 7580, 323, 11, 1990, 220, 1049, 20, 323, 220, 1049, 24, 11, 19176, 22163, 810, 1109, 220, 3101, 31839, 505, 6522, 14584, 323, 3495, 14673, 2212, 279, 1917, 627, 36557, 13077, 1893, 264, 34076, 15679, 16975, 13, 3277, 9742, 311, 58240, 6137, 304, 220, 1049, 17, 11, 19176, 2631, 502, 13077, 311, 89483, 1202, 53008, 1664, 1139, 279, 220, 1691, 267, 9478, 13, 2057, 3240, 279, 18475, 315, 279, 15679, 4676, 11, 279, 12374, 29091, 400, 2636, 3610, 323, 5918, 3892, 43772, 14016, 627, 791, 13235, 11930, 323, 8483, 17283, 520, 279, 6401, 23199, 5955, 11, 279, 13585, 6150, 315, 8184, 529, 43951, 11166, 11, 279, 32320, 6150, 315, 5277, 753, 4802, 39680, 2162, 323, 264, 502, 4857, 369, 279, 16576, 261, 9304, 315, 10948, 323, 30704, 11, 1101, 389, 4802, 39680, 11, 15253, 88419, 20632, 323, 7417, 279, 11782, 323, 68188, 9090, 430, 374, 29683, 315, 19176, 4236, 304, 682, 5151, 315, 4007, 627, 1688, 279, 9309, 315, 16273, 6825, 323, 14128, 28163, 12839, 320, 70614, 9084, 2857, 6825, 705, 279, 43748, 19176, 11, 1405, 12374, 19533, 25953, 1221, 9336, 6137, 10168, 6989, 304, 220, 9378, 16, 11, 706, 78881, 439, 264, 1614, 8838, 10826, 38921, 1567, 4219, 627, 791, 43748, 19176, 753, 13945, 57934, 1925, 14321, 11, 1457, 2663, 17638, 43241, 11166, 11, 574, 7396, 555, 264, 400, 16, 3610, 15507, 505, 30390, 7023, 307, 11, 26313, 44, 18217, 1227, 11, 323, 555, 11758, 315, 5217, 33149, 13, 578, 78881, 12764, 690, 9504, 9214, 315, 10495, 505, 6957, 279, 19895, 5654, 311, 4802, 39680, 323, 1520, 311, 17543, 279, 18671, 13651, 315, 19895, 753, 17569, 315, 279, 17979, 627, 28528, 374, 459, 3062, 1648, 311, 9504, 1948, 11005, 311, 19176, 13, 7429, 11, 11084, 26969, 3085, 5016, 16627, 11704, 311, 4236, 323, 3493, 10708, 311, 5276, 8396, 13, 2057, 9407, 279, 3495, 20790, 17223, 311, 3351, 12401, 311, 264, 1317, 9860, 5915, 315, 23862, 4315, 279, 1948, 586, 3495, 23978, 304, 279, 7140, 2345, 19176, 20034, 311, 12207, 5376, 1862, 369, 14584, 323, 12624, 26981, 627, 10682, 27104, 622, 7217, 24453, 650, 13, 11868, 337, 6491, 198, 10682, 27104, 13960, 328, 13, 16835, 56936, 198, 26556, 220, 2550, 24, 323, 220, 1049, 24, 11, 9974, 11006, 369, 30638, 7224, 810, 1109, 35717, 11, 7982, 505, 400, 2137, 13, 24, 3610, 311, 400, 2421, 13, 23, 3610, 13, 578, 1121, 374, 459, 20790, 430, 21434, 12855, 279, 15481, 8752, 11, 36050, 279, 6439, 315, 7931, 2212, 279, 1917, 323, 7437, 279, 6566, 369, 3938, 18841, 627, 22759, 698, 753, 7982, 1862, 369, 14584, 323, 27692, 27501, 88958, 41582, 11, 3109, 13607, 323, 7931, 2345, 19171, 3445, 12374, 26453, 617, 279, 5217, 5070, 814, 1205, 311, 3619, 3432, 753, 6485, 4819, 304, 16088, 11, 279, 4676, 323, 1023, 5789, 627, 791, 19176, 11278, 198, 16397, 9742, 311, 58240, 11, 279, 12374, 323, 279, 19176, 3907, 76526, 10229, 320, 99682, 6157, 8, 9749, 264, 1396, 315, 7620, 311, 16988, 279, 5016, 9090, 315, 19176, 753, 220, 14374, 11, 931, 38581, 13, 46982, 279, 4901, 11, 1884, 7620, 60654, 1664, 439, 36504, 32006, 1778, 439, 55628, 753, 75200, 323, 5492, 5065, 48534, 99563, 55535, 810, 1109, 220, 1135, 11, 931, 13324, 311, 4455, 430, 3952, 2035, 4028, 279, 7140, 627, 791, 2930, 4029, 856, 363, 4835, 1330, 916, 1101, 5825, 52121, 323, 5575, 3697, 449, 5627, 311, 4667, 449, 1855, 1023, 323, 449, 3432, 753, 19176, 13, 2684, 11, 52121, 649, 51136, 449, 61190, 11, 1505, 29130, 10708, 323, 7076, 5070, 11, 3085, 76579, 3600, 311, 1510, 4236, 11, 1304, 21258, 311, 279, 12374, 323, 4254, 369, 4455, 627, 24798, 15481, 19424, 323, 279, 19176, 389, 279, 9728, 4101, 11, 52121, 889, 3974, 4994, 279, 19895, 3158, 527, 21583, 449, 12637, 38581, 304, 9919, 6957, 279, 7140, 13, 70132, 617, 17057, 304, 20005, 11, 17368, 11, 10406, 11, 10780, 11, 9853, 12167, 11, 1561, 4356, 4409, 11, 17355, 7188, 323, 6652, 11, 423, 732, 627, 14364, 1648, 369, 19176, 38581, 311, 51136, 323, 4009, 449, 12637, 52121, 374, 1555, 6222, 2802, 5315, 25, 279, 19176, 3907, 5348, 76526, 23590, 11, 19176, 3907, 13566, 76526, 323, 19176, 53643, 11, 21334, 11, 43684, 46279, 323, 4149, 13265, 76526, 13, 9062, 1060, 11, 6222, 65873, 5315, 3552, 29130, 4455, 11, 96727, 11, 35740, 919, 323, 3361, 7620, 627, 1737, 13311, 287, 19176, 596, 12781, 198, 22759, 698, 3907, 706, 8813, 264, 502, 2237, 315, 30296, 13, 578, 2450, 315, 9742, 311, 58240, 32216, 430, 264, 7829, 315, 879, 58738, 18237, 706, 4529, 3789, 520, 19176, 323, 690, 3136, 311, 3139, 13, 3161, 57088, 6020, 5070, 12899, 4236, 323, 14584, 7620, 11, 279, 12374, 374, 304, 264, 2361, 311, 70531, 389, 264, 19092, 3197, 430, 690, 7417, 279, 6975, 323, 5496, 3217, 369, 1475, 19176, 5575, 13, 1115, 502, 3197, 39039, 9803, 279, 12374, 753, 14691, 6678, 311, 7417, 11, 311, 3139, 323, 311, 16988, 15603, 304, 279, 220, 1691, 267, 9478, 627, 31272, 9328, 42170, 34871, 198, 2170, 19176, 12302, 1202, 1828, 12735, 11, 279, 12374, 753, 3938, 14584, 323, 63681, 4500, 690, 387, 33687, 555, 279, 42170, 46661, 60680, 13, 3161, 3116, 1925, 5789, 315, 5357, 2345, 7271, 403, 6165, 369, 13346, 11, 8483, 58240, 11, 21631, 12, 4198, 3531, 323, 8121, 9386, 479, 22416, 3197, 5764, 22700, 315, 3230, 28271, 323, 32855, 4330, 4771, 9021, 11, 2737, 18899, 279, 39554, 4478, 11, 7859, 30638, 3495, 323, 810, 627, 1688, 279, 4219, 315, 279, 42170, 46661, 60680, 374, 42828, 19176, 11, 264, 5915, 430, 690, 1520, 311, 4128, 1524, 810, 19310, 323, 68188, 20663, 311, 19176, 753, 10687, 304, 19895, 323, 2212, 279, 1917, 627, 644, 2015, 311, 2274, 42828, 19176, 11, 279, 12374, 690, 9407, 10708, 369, 4236, 311, 25555, 304, 279, 24978, 323, 15253, 19297, 323, 27501, 304, 1475, 2978, 323, 7926, 13, 19176, 1101, 690, 84713, 279, 7036, 315, 4029, 40705, 304, 279, 5654, 323, 4028, 20355, 11, 323, 690, 5376, 10708, 369, 6625, 12917, 11, 6975, 11, 3495, 323, 4029, 47210, 11704, 13, 1115, 3596, 3502, 76562, 4029, 315, 4236, 11, 13820, 11, 31839, 323, 14248, 374, 279, 4851, 315, 279, 12374, 430, 690, 18885, 279, 6439, 315, 1274, 2212, 279, 1917, 627, 31233, 369, 279, 12781, 198, 22759, 698, 1101, 690, 1893, 502, 13077, 369, 6975, 11, 5496, 323, 47044, 13, 19176, 220, 508, 14, 508, 11, 279, 12914, 1555, 902, 279, 12374, 690, 3719, 264, 837, 9284, 11, 690, 73484, 349, 16273, 6825, 323, 1304, 433, 264, 34076, 46979, 430, 8983, 1924, 2212, 279, 9042, 439, 264, 49277, 16036, 4676, 627, 43061, 264, 13515, 11, 4802, 39680, 323, 279, 14373, 6401, 23199, 5955, 690, 387, 459, 3158, 9257, 304, 36483, 323, 264, 8915, 9284, 369, 279, 4553, 19895, 5654, 627, 2028, 14529, 15679, 18475, 374, 279, 1455, 9621, 64050, 315, 19176, 753, 14691, 6650, 439, 264, 4219, 369, 34225, 323, 28697, 11, 5536, 323, 6776, 13, 74540, 398, 11, 1274, 505, 2212, 279, 1917, 690, 1427, 9017, 19176, 3907, 439, 264, 16595, 19240, 369, 14265, 3463, 323, 64955, 3495, 13, 2435, 690, 2586, 311, 19176, 2345, 263, 15679, 11, 2930, 477, 520, 6625, 10687, 50617, 4048, 11, 7142, 11, 9473, 6848, 323, 97168, 502, 6677, 13, 2435, 690, 31740, 3885, 323, 387, 14948, 555, 1884, 25363, 7931, 889, 527, 961, 315, 19176, 753, 23649, 3728, 4029, 13, 11205, 11376, 323, 279, 11376, 315, 279, 12374, 690, 3136, 311, 5276, 6439, 304, 19895, 323, 7953, 627, 22759, 698, 753, 3938, 706, 2646, 1027, 53657, 627, 1271, 1373, 810, 922, 9742, 311, 58240, 25, 578, 220, 6549, 339, 47898, 27643, 369, 19176, 11, 4299, 1618, 627, 3792, 311, 12531, 220, 679, 15 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 791, 6826, 304, 6401, 16543, 520, 12644, 38305, 6150, 706, 1047, 264, 1317, 13970, 3347, 304, 3339, 5644, 2890, 4967, 35416, 13, 6401, 68721, 374, 42066, 26434, 430, 706, 17626, 19019, 11, 15871, 4245, 311, 29054, 10401, 430, 706, 20654, 4147, 2890, 20862, 323, 17563, 27344, 13, 358, 1550, 539, 1440, 430, 814, 18010, 433, 0, 358, 3287, 1431, 6865, 430, 961, 28578, 389, 20352, 13, 2435, 11224, 430, 279, 4121, 1053, 3041, 682, 7931, 279, 6140, 311, 617, 279, 1890, 2890, 2512, 439, 279, 21342, 13, 358, 1541, 1431, 1440, 358, 9855, 358, 4805, 2503, 1578, 323, 1518, 279, 1648, 433, 682, 27772, 704, 323, 24739, 369, 279, 1455, 7524, 13, 3092, 38594, 11, 889, 6439, 304, 17355, 469, 556, 1047, 279, 1890, 52497, 320, 2465, 36271, 753, 18233, 570, 1283, 11, 2288, 11, 13174, 926, 28362, 315, 279, 1887, 323, 5602, 264, 35416, 627, 14884, 8276, 10401, 11, 1093, 682, 8276, 11, 4375, 555, 75510, 37064, 13, 578, 9498, 25905, 553, 279, 14363, 11, 889, 1253, 1633, 1664, 387, 904, 1732, 775, 420, 43438, 323, 1101, 499, 1828, 1060, 13, 13266, 37064, 27830, 904, 3169, 315, 2890, 2512, 264, 1732, 1053, 11000, 1390, 505, 7314, 311, 4648, 2001, 97128, 2512, 1555, 21036, 560, 13, 2360, 3927, 374, 38097, 311, 1205, 682, 315, 433, 11, 719, 584, 4805, 682, 1390, 1063, 315, 433, 690, 8659, 13, 2052, 41021, 323, 39543, 690, 3118, 1949, 13147, 6593, 5220, 11, 1524, 994, 499, 1541, 1431, 617, 264, 3109, 2890, 3786, 13, 2684, 1253, 387, 17294, 39661, 304, 701, 15443, 11509, 627, 40, 4070, 10278, 3093, 304, 279, 26434, 315, 3674, 990, 320, 4291, 459, 24473, 3674, 990, 8547, 1389, 459, 10504, 54, 570, 358, 4805, 2019, 11, 1418, 279, 11344, 5475, 8547, 1253, 387, 1633, 33045, 323, 31439, 311, 636, 1389, 505, 1148, 358, 617, 14000, 46029, 323, 10623, 336, 2740, 433, 374, 539, 264, 1633, 9193, 33647, 8547, 13, 46402, 279, 1274, 889, 656, 1664, 449, 433, 527, 6305, 889, 3207, 2736, 3318, 315, 872, 7076, 323, 1120, 1205, 311, 636, 872, 49683, 477, 36467, 8547, 311, 636, 4696, 4557, 4497, 12515, 32, 13945, 8040, 7528, 69010, 35268, 374, 961, 315, 264, 6883, 502, 5780, 430, 63526, 11499, 11217, 323, 19084, 32758, 11, 10923, 16410, 311, 7858, 9572, 11, 30020, 11, 323, 1023, 19338, 4871, 279, 64441, 439, 1664, 439, 3495, 304, 7872, 279, 3289, 404, 63198, 62690, 13, 3277, 48883, 287, 315, 433, 11, 5813, 701, 26470, 449, 279, 1520, 315, 264, 54595, 13, 68301, 311, 1124, 323, 10491, 520, 1148, 6566, 433, 753, 1888, 311, 3009, 433, 477, 1518, 279, 5208, 13, 1115, 374, 37938, 264, 1633, 1695, 1879, 315, 4500, 994, 8430, 1063, 16337, 323, 3987, 13, 3861, 315, 1521, 20356, 1436, 387, 6612, 555, 96460, 889, 11984, 433, 779, 912, 1288, 387, 14792, 13, 5884, 37036, 8430, 649, 1101, 387, 459, 28137, 315, 4500, 902, 374, 6555, 304, 264, 5603, 627, 644, 1162, 499, 37191, 304, 264, 220, 679, 21, 2890, 3197, 11, 433, 753, 7718, 311, 2343, 701, 1176, 2305, 753, 15193, 311, 701, 2890, 8276, 7626, 311, 2567, 3201, 505, 80417, 701, 10401, 13, 13266, 889, 1390, 311, 18885, 872, 8244, 2890, 1253, 37938, 48863, 11626, 505, 279, 23606, 13, 3861, 315, 1202, 2890, 22934, 374, 430, 433, 1253, 7945, 4018, 1203, 6680, 13465, 5990, 11, 8617, 44649, 872, 6023, 315, 6968, 2890, 15082, 13890, 311, 4785, 5435, 323, 20335, 13, 1666, 1664, 439, 11, 433, 1253, 18885, 74502, 323, 11810, 5912, 44032, 315, 12571, 505, 279, 2547, 627, 22111, 1772, 11, 87410, 3444, 0, 3092, 4443, 6848, 389, 279, 47430, 83908, 2890, 2512, 1887, 1051, 11041, 7154, 22571, 5304, 33111, 520, 578, 71212, 10537, 994, 358, 574, 3411, 369, 15419, 369, 856, 2487, 459, 19405, 13, 578, 28913, 304, 72044, 6181, 574, 2561, 311, 4322, 757, 11, 323, 814, 1047, 1475, 3245, 814, 4934, 311, 1935, 1957, 13, 1115, 574, 264, 10988, 311, 757, 13517, 11, 323, 574, 539, 16168, 4184, 311, 279, 25237, 339, 315, 17135, 358, 1047, 26617, 2225, 6931, 1109, 33111, 323, 4216, 389, 304, 279, 11879, 13, 6104, 358, 4510, 430, 420, 1749, 1253, 387, 1633, 4676, 4696, 4557, 4497, 12515, 2409, 279, 16448, 62533, 2065, 315, 7362, 10401, 11, 584, 1101, 1518, 279, 7859, 62533, 2065, 315, 2162, 11759, 11, 323, 1455, 35146, 279, 49179, 315, 264, 1579, 42357, 22156, 4379, 1614, 25, 264, 44804, 19220, 3314, 2029, 5165, 323, 6625, 56803, 527, 304, 279, 1920, 315, 16650, 750, 6376, 709, 264, 3451, 943, 90364, 2191, 529, 304, 25935, 20095, 13, 16803, 3268, 323, 61077, 527, 49212, 839, 555, 1648, 315, 7294, 12, 38488, 380, 13543, 11, 9244, 83, 3713, 323, 7757, 22156, 527, 63677, 323, 61838, 11, 10573, 11725, 863, 527, 20968, 11, 902, 14134, 2997, 279, 5144, 315, 47962, 388, 11, 323, 279, 45874, 374, 810, 323, 810, 54946, 311, 961, 731, 304, 55671, 627, 2181, 64252, 279, 3717, 315, 26870, 323, 1202, 10383, 311, 279, 10489, 33851, 315, 279, 11754, 1732, 13, 282, 570, 469, 13636, 5036, 304, 11612, 374, 389, 279, 3157, 389, 279, 8486, 753, 45710, 11, 1949, 315, 6900, 369, 4232, 13, 4314, 79688, 1253, 54350, 709, 311, 220, 18, 11, 931, 4339, 11, 220, 21, 12920, 477, 12678, 11, 323, 459, 12399, 315, 539, 810, 1109, 220, 5154, 32847, 323, 15407, 35988, 84640, 5008, 13, 578, 49316, 527, 1193, 7347, 555, 701, 28697, 323, 5211, 31514, 13, 6401, 32947, 323, 279, 3566, 527, 16195, 8336, 279, 2035, 499, 690, 636, 6848, 505, 13, 24941, 304, 4059, 430, 499, 527, 4737, 1716, 7504, 13, 2100, 1935, 433, 4696, 4557, 4497, 12515, 50, 2599, 374, 459, 1825, 2680, 21959, 315, 42780, 22973, 264, 8205, 315, 14584, 49255, 13, 1666, 279, 3927, 3157, 9731, 311, 42197, 653, 59707, 1436, 584, 636, 1063, 955, 315, 4062, 7394, 4261, 2345, 66372, 264, 43438, 477, 1403, 2345, 3482, 30, 19292, 13, 4452, 430, 2643, 1524, 387, 264, 463, 55535, 6689, 323, 422, 430, 7077, 433, 2643, 3284, 2586, 439, 264, 961, 315, 264, 2011, 1522, 4121, 430, 1047, 10092, 323, 4783, 9540, 11692, 8041, 311, 10570, 13, 1628, 11, 422, 430, 10222, 433, 2643, 2216, 19788, 2225, 15692, 54818, 323, 40845, 11, 439, 1664, 439, 279, 2385, 13, 5884, 9540, 23072, 477, 5492, 4562, 430, 22415, 660, 449, 12643, 311, 2047, 709, 37096, 1053, 4461, 636, 9036, 277, 1142, 520, 872, 17876, 6355, 13, 23212, 433, 374, 389, 261, 788, 311, 1518, 1268, 3060, 23896, 47783, 477, 30173, 13960, 2643, 18167, 1778, 459, 5149, 627, 1688, 279, 1633, 3325, 11, 433, 690, 4461, 387, 1695, 1648, 315, 29385, 4954, 1148, 358, 2733, 527, 264, 2478, 315, 279, 1455, 16595, 2890, 6743, 311, 2586, 1203, 704, 315, 856, 502, 35097, 11, 2999, 13, 45568, 11605, 753, 1952, 7368, 8245, 311, 386, 3916, 753, 6401, 11, 902, 1520, 3041, 25000, 315, 682, 17051, 264, 15105, 369, 19994, 2489, 323, 29921, 13, 16870, 300, 6354, 278, 34144, 356, 11, 362, 74237, 34050, 11, 3053, 3394, 480, 11, 1880, 453, 13, 6401, 53082, 323, 31071, 331, 532, 51643, 13, 622, 2052, 43043, 18905, 67335, 337, 220, 679, 17, 26, 9748, 968, 414, 1680, 26970, 12, 2983, 627, 8142, 1070, 527, 912, 6721, 10034, 7640, 7411, 304, 28621, 11, 1070, 527, 1690, 10708, 369, 41308, 10034, 323, 10034, 7640, 5552, 7640, 323, 779, 814, 682, 1304, 1005, 315, 5115, 264, 2763, 315, 7487, 13, 1398, 87728, 81366, 320, 52340, 750, 11, 389, 701, 52354, 8, 374, 264, 1633, 4279, 49648, 315, 1521, 14892, 449, 28170, 423, 48294, 13, 2100, 304, 1162, 499, 3207, 35611, 84239, 279, 28566, 1022, 701, 60375, 320, 428, 14917, 315, 279, 2890, 6469, 705, 499, 1053, 11000, 1390, 311, 1427, 1139, 430, 6680, 1296, 358, 14407, 6931, 627, 644, 459, 5149, 311, 2274, 323, 1977, 1579, 4367, 16124, 11, 279, 2547, 7612, 264, 3738, 12472, 315, 13128, 13, 578, 12472, 4696, 4557, 4497, 12515, 12626, 5256, 574, 11887, 304, 220, 5162, 20, 439, 264, 4686, 1716, 16048, 2068, 13, 1102, 706, 3984, 3987, 323, 1520, 311, 220, 1313, 3610, 3428, 32197, 61095, 323, 872, 29939, 4028, 279, 549, 815, 13, 927, 279, 3766, 220, 1135, 1667, 13, 11452, 19110, 706, 14958, 22514, 1524, 304, 279, 3663, 315, 43468, 5054, 323, 6020, 92399, 1606, 433, 706, 15870, 13241, 279, 5220, 433, 28421, 311, 6980, 323, 8689, 13, 1102, 1101, 16846, 311, 279, 60923, 3966, 315, 2254, 10977, 13, 57410, 3691, 520, 51688, 1436, 2873, 57697, 11, 323, 7344, 264, 2766, 810, 11646, 1109, 6981, 3691, 11, 38330, 433, 753, 5995, 311, 1935, 264, 1427, 520, 279, 1317, 9860, 7729, 315, 53808, 26870, 13, 61695, 39345, 21644, 1436, 907, 810, 65451, 11, 17715, 459, 5066, 400, 16, 13, 1135, 45839, 320, 269, 400, 13506, 86000, 705, 279, 22934, 67166, 505, 12459, 9498, 323, 3515, 9498, 26870, 3085, 499, 2753, 18985, 7194, 1523, 279, 8761, 13, 13235, 7729, 369, 1274, 889, 527, 50320, 527, 400, 16, 11, 16371, 7319, 1109, 1521, 315, 264, 5410, 4785, 11, 20444, 1274, 449, 20335, 320, 998, 3522, 449, 279, 5471, 481, 16347, 220, 17, 20335, 705, 62622, 810, 1109, 11157, 279, 6593, 7729, 1109, 4423, 2085, 20335, 13, 1442, 499, 2980, 433, 430, 1749, 11, 459, 5217, 400, 16, 13, 1135, 824, 1938, 311, 7293, 9498, 4536, 1431, 1790, 520, 682, 0, 2876, 21742, 430, 11, 719, 499, 1253, 2733, 2294, 323, 58003, 279, 22934, 315, 701, 9498, 26870, 439, 499, 4325, 627, 60105, 15235, 17055, 46755, 1174, 3090, 1389, 430, 753, 279, 17055, 961, 1389, 374, 1511, 311, 53105, 349, 701, 15235, 323, 63900, 649, 1147, 323, 18698, 1124, 4335, 13, 1666, 264, 1121, 315, 420, 3634, 374, 279, 3838, 315, 264, 14880, 11668, 315, 279, 41580, 323, 59854, 439, 264, 961, 315, 22852, 1887, 14816, 26, 1070, 753, 264, 5326, 430, 2288, 1690, 690, 636, 74820, 704, 304, 279, 3388, 315, 279, 17055, 46755, 13, 1102, 374, 1093, 21939, 279, 1716, 704, 449, 279, 9061, 13284, 13, 36925, 279, 3650, 62114, 8779, 311, 70543, 819, 1148, 1253, 387, 90660, 2391, 279, 40239, 627, 3947, 2643, 387, 264, 4696, 4557, 4497, 12515, 3648, 4356, 9483, 417, 80436, 15429, 304, 1561, 4356, 4409, 374, 2085, 10712, 832, 315, 279, 1917, 753, 84608, 24461, 393, 30375, 374, 279, 1226, 484, 7813, 1540, 616, 12764, 320, 5902, 17395, 520, 12541, 570, 1472, 656, 539, 617, 311, 387, 459, 34880, 311, 8935, 505, 5912, 48131, 10368, 13, 7570, 27946, 15055, 315, 7106, 5820, 649, 18885, 701, 2890, 13, 75800, 374, 264, 1633, 60423, 1376, 315, 4279, 5542, 13, 1666, 264, 1121, 315, 13957, 315, 3090, 11, 279, 3392, 315, 75716, 2631, 311, 16587, 264, 2771, 6138, 374, 7191, 1109, 430, 4934, 311, 1629, 477, 4321, 279, 1890, 6138, 13, 763, 1023, 32847, 11, 24269, 649, 8395, 810, 4907, 1109, 3318, 824, 892, 7543, 627, 644, 586, 2890, 56769, 10284, 1109, 13126, 279, 2890, 315, 279, 1732, 584, 690, 1935, 1139, 2759, 279, 2890, 315, 701, 4553, 12818, 477, 3738, 40771, 13, 1102, 15871, 3568, 449, 27252, 50600, 8624, 1174, 18054, 88959, 505, 21644, 323, 16558, 3090, 11, 44649, 7230, 4065, 11, 555, 586, 2890, 10396, 320, 2000, 3187, 86661, 40300, 369, 5370, 49909, 8, 323, 779, 13544, 2533, 814, 690, 7958, 279, 4459, 12818, 627, 85203, 8391, 1565, 26, 1618, 374, 813, 50859, 19557, 11, 559, 1540, 315, 1202, 490, 23903, 13, 1283, 1288, 5622, 1521, 568, 628, 32109, 11, 439, 814, 2019, 48856, 258, 4511, 656, 13, 4800, 11, 420, 4536, 1431, 4754, 11, 439, 264, 1121, 315, 568, 2011, 33294, 1124, 439, 10489, 13, 9393, 568, 4250, 6920, 6680, 65, 589, 389, 311, 53624, 11, 323, 33792, 311, 10065, 12970, 53568, 11, 568, 33291, 6373, 11, 279, 5780, 5900, 1139, 10134, 11, 323, 264, 60135, 12496, 11767, 1461, 389, 311, 1654, 73369, 2065, 627, 9241, 300, 32689, 279, 38586, 315, 279, 94612, 1646, 304, 54626, 323, 27723, 8624, 11, 433, 5825, 603, 264, 20333, 10778, 311, 84713, 433, 1314, 1139, 264, 810, 13687, 12914, 311, 1440, 323, 10299, 2890, 2512, 13, 578, 8333, 315, 1855, 14278, 2191, 323, 61876, 8446, 311, 2890, 2643, 387, 5217, 51763, 369, 279, 5208, 315, 6593, 3495, 323, 2890, 20862, 304, 279, 8396, 13, 578, 61636, 315, 2225, 20414, 690, 387, 26455, 439, 1070, 4696, 4557, 4497, 12515, 84910, 315, 4892, 6890, 320, 34, 15259, 8, 1174, 578, 24028, 347, 950, 8925, 315, 6401, 71029, 320, 17094, 12228, 8 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 7778, 8345, 15781, 38213, 364, 65007, 1270, 5786, 38329, 25, 22450, 198, 91, 2367, 13562, 63842, 81739, 350, 732, 885, 13, 41661, 7511, 91, 51, 732, 885, 13, 5742, 8651, 2123, 17908, 7511, 91, 2137, 12, 1114, 12, 5894, 21, 8651, 9028, 28609, 10094, 2391, 31752, 29407, 7511, 91, 2137, 12, 1114, 12, 5894, 22, 8651, 1844, 20510, 1285, 15691, 477, 19243, 315, 264, 10500, 7511, 91, 2137, 12, 1114, 12, 5894, 24, 8651, 9028, 28609, 10094, 389, 2978, 3424, 7511, 91, 2137, 12, 1114, 12, 9263, 16, 8651, 9028, 28609, 10094, 389, 586, 27943, 11, 42715, 82, 11, 44973, 19169, 11, 323, 1023, 37100, 4857, 323, 21319, 7511, 91, 2137, 12, 1114, 12, 9263, 20, 83532, 65, 8, 320, 16, 1680, 34991, 34959, 323, 11810, 311, 6920, 99636, 7511, 91, 2137, 12, 1114, 12, 9413, 15, 8651, 36919, 287, 99636, 311, 99545, 3742, 7511, 91, 2137, 12, 1114, 12, 9413, 16, 8651, 83729, 1362, 315, 264, 57905, 1418, 1234, 279, 10383, 7511, 91, 2137, 12, 1114, 12, 8878, 16, 1389, 220, 8878, 23, 8651, 2367, 13562, 63842, 3700, 45803, 7181, 25, 8876, 279, 2723, 15407, 3892, 350, 732, 885, 13, 35813, 11, 459, 1963, 2199, 8649, 279, 7902, 220, 8878, 16, 1389, 220, 8878, 23, 690, 5101, 994, 4183, 13, 7511, 91, 2137, 12, 1114, 12, 8878, 24, 8651, 1360, 5923, 6055, 520, 3738, 16659, 7511, 91, 2137, 12, 1114, 12, 9795, 15, 8651, 27099, 323, 14640, 7511, 91, 3936, 220, 5538, 15957, 220, 1758, 8651, 17205, 29219, 3600, 7511, 91, 3936, 220, 2031, 15957, 220, 19, 8651, 52079, 41242, 14640, 7511, 91, 2031, 12, 19, 12, 6889, 8651, 48414, 23330, 1389, 16543, 315, 23330, 12875, 1389, 96342, 7511, 91, 2031, 12, 19, 12, 7261, 8651, 39, 27421, 323, 43931, 1080, 2439, 35319, 1389, 16543, 3280, 1389, 30555, 811, 11, 31086, 7511, 91, 2031, 12, 19, 12, 8546, 8651, 83729, 1362, 315, 10094, 304, 5789, 70598, 555, 2466, 1847, 1389, 96342, 7511, 9, 4427, 350, 732, 885, 13, 41661, 1051, 31011, 2391, 279, 220, 1049, 24, 3882, 555, 279, 2768, 3142, 69481, 902, 1253, 387, 25790, 1555, 279, 24097, 12667, 315, 3314, 753, 5000, 2816, 520, 1795, 1129, 1546, 82, 437, 2726, 14, 11613, 65633, 93324, 13, 7461, 339, 2348, 30, 3528, 543, 512, 12965, 15957, 220, 4645, 1389, 8704, 13562, 8245, 19406, 1389, 1115, 1180, 59538, 279, 6011, 315, 19220, 477, 904, 9476, 67362, 57905, 7296, 3388, 9548, 505, 23537, 32368, 369, 57905, 6920, 11810, 311, 52259, 904, 25607, 2038, 18815, 904, 57905, 279, 32368, 25241, 477, 50326, 627, 68639, 2696, 25, 5936, 220, 1544, 11, 220, 1049, 24, 198, 12965, 15957, 220, 19140, 1389, 8704, 52921, 304, 39272, 1389, 1115, 1180, 29790, 264, 19504, 889, 706, 264, 2764, 57905, 6920, 11810, 311, 15575, 264, 57905, 1418, 2949, 279, 23546, 315, 904, 6246, 323, 1023, 4528, 586, 7634, 13234, 323, 24026, 555, 279, 1614, 11, 14189, 11, 477, 3363, 11, 44878, 3738, 5933, 5789, 11, 18526, 27943, 11, 7138, 33965, 11, 30405, 6373, 5789, 13, 8949, 17047, 1253, 4135, 555, 264, 8857, 11175, 315, 279, 2254, 27743, 2547, 311, 48486, 6166, 6920, 11810, 29809, 505, 60662, 99636, 304, 2254, 27943, 627, 68639, 2696, 25, 81739, 1303, 59589, 323, 31276, 311, 48047, 50967, 89864, 1389, 5651, 220, 717, 11, 220, 1049, 24, 48023, 2696, 25, 3341, 28609, 16766, 304, 6918, 323, 1614, 27943, 1389, 5651, 220, 717, 11, 220, 1049, 24, 48023, 2696, 25, 3341, 28609, 16766, 304, 27512, 477, 14189, 27943, 7389, 27010, 1389, 6250, 220, 16, 11, 220, 1049, 24, 198, 1966, 5887, 220, 1187, 11, 220, 1049, 24, 11, 279, 18919, 3331, 11136, 60767, 2360, 13, 220, 2545, 12, 9748, 902, 11, 33549, 311, 76626, 13, 6247, 9489, 13, 17036, 220, 2137, 12, 1114, 12, 5894, 24, 11, 59538, 57905, 6920, 11810, 29809, 505, 60662, 32653, 304, 586, 27943, 2391, 3115, 994, 279, 29703, 5151, 477, 1023, 37100, 13077, 527, 3604, 1694, 1511, 555, 8853, 627, 12965, 15957, 220, 19852, 1389, 63739, 90831, 645, 323, 33447, 52921, 304, 56120, 1389, 1115, 1180, 6276, 264, 1732, 449, 264, 57905, 6920, 11810, 311, 15575, 264, 6799, 29232, 477, 6799, 52348, 304, 264, 38171, 13234, 7458, 13, 578, 1180, 5825, 430, 279, 10500, 4250, 617, 37768, 304, 279, 25199, 3734, 304, 279, 1162, 430, 459, 3927, 11810, 12102, 11321, 22655, 21699, 627, 68639, 2696, 25, 5651, 220, 717, 11, 220, 1049, 24, 198, 12965, 15957, 220, 20325, 1389, 32936, 315, 15542, 5247, 1389, 1115, 1180, 7612, 264, 1732, 2403, 8884, 459, 2015, 315, 9313, 706, 1027, 11136, 311, 28490, 315, 904, 32653, 2949, 220, 2166, 4207, 1555, 904, 52321, 3445, 13, 1102, 20064, 9803, 430, 279, 1732, 1253, 16063, 19243, 315, 32653, 3131, 279, 2015, 315, 9313, 374, 30831, 627, 68639, 2696, 25, 5887, 220, 16, 11, 220, 1049, 24, 198, 12965, 15957, 220, 20213, 1389, 60565, 304, 8718, 51259, 22964, 699, 14789, 56816, 1389, 1115, 1180, 6276, 264, 1732, 449, 264, 2764, 57905, 6920, 11810, 311, 15575, 264, 36705, 304, 264, 14850, 11, 586, 23330, 3158, 11, 30405, 6373, 3158, 11, 477, 389, 5426, 13952, 4363, 627, 68639, 2696, 25, 5887, 220, 24, 11, 220, 1049, 24, 198, 32129, 7174, 3011, 15832, 2893, 6344, 13538, 90701, 369, 264, 24097, 8704, 13562, 63842, 81739, 198, 12, 48023, 5887, 220, 16, 11, 220, 1049, 20, 11, 682, 57905, 11810, 32177, 11125, 264, 502, 11, 43901, 477, 14039, 11810, 2011, 3493, 11311, 315, 549, 815, 13, 94836, 477, 7658, 1285, 57316, 1838, 26859, 627, 12, 48023, 5887, 220, 16, 11, 220, 1049, 20, 11, 24097, 57905, 6920, 11810, 2383, 690, 1457, 2187, 3738, 32177, 2736, 39028, 505, 89506, 449, 23677, 2134, 19705, 315, 279, 1510, 35786, 311, 1101, 387, 39028, 505, 904, 24978, 8670, 13, 13266, 1510, 20157, 527, 32177, 889, 12391, 311, 279, 9476, 430, 2949, 4330, 320, 20, 8, 1667, 505, 279, 2457, 315, 3851, 369, 57905, 11810, 11, 279, 32368, 706, 90578, 12, 51678, 23759, 555, 279, 4379, 9640, 753, 10886, 323, 4967, 12396, 11, 477, 198, 12, 7946, 8308, 4967, 520, 279, 2383, 13627, 4967, 44445, 26, 477, 198, 12, 7946, 8308, 279, 32653, 4967, 3388, 2631, 369, 17903, 4868, 27270, 26, 477, 198, 12, 7946, 8308, 682, 57905, 4967, 315, 539, 2753, 1109, 3116, 320, 19, 8, 4207, 439, 2631, 555, 904, 9046, 315, 279, 6411, 627, 12, 98789, 527, 2631, 311, 387, 264, 19504, 315, 279, 3314, 315, 24097, 280, 12, 2893, 520, 3325, 17510, 19101, 320, 1691, 8, 1667, 315, 4325, 280, 12, 98789, 4985, 539, 617, 1027, 23959, 315, 904, 37723, 17193, 81670, 369, 264, 4751, 49005, 832, 320, 16, 8, 1060, 280, 12, 98789, 4985, 539, 5131, 387, 1234, 47960, 477, 2038, 369, 904, 9337, 17193, 81670, 555, 264, 4751, 49005, 832, 320, 16, 8, 1060, 280, 12, 86561, 539, 387, 5131, 279, 3917, 315, 904, 2015, 315, 9313, 280, 12, 86561, 539, 387, 264, 49184, 3486, 505, 12437, 280, 12, 86561, 539, 387, 459, 45522, 1217, 315, 477, 57727, 311, 13200, 477, 904, 14400, 20278, 323, 279, 32368, 706, 539, 1027, 264, 8893, 304, 264, 44438, 2068, 477, 70340, 369, 13200, 477, 14400, 20278, 11737, 477, 27471, 2949, 5899, 320, 605, 8, 1667, 505, 279, 2457, 315, 3851, 280, 12, 578, 32368, 706, 539, 1027, 23959, 315, 279, 17193, 315, 10043, 1234, 279, 10383, 315, 459, 72815, 519, 304, 420, 477, 904, 1023, 3314, 1403, 320, 17, 8, 477, 810, 3115, 2949, 5899, 320, 605, 8, 1667, 505, 279, 2457, 315, 3851, 323, 430, 7000, 315, 1778, 48015, 706, 10222, 2949, 4330, 320, 20, 8, 1667, 505, 279, 2457, 315, 3851, 477, 43901, 627, 12, 86561, 539, 617, 1027, 70280, 10297, 439, 10723, 64903, 26, 706, 539, 1027, 11411, 311, 477, 70340, 304, 264, 10723, 15244, 26, 706, 539, 1047, 264, 5590, 9732, 264, 11357, 859, 369, 279, 32368, 555, 2944, 315, 264, 10723, 23011, 26, 706, 539, 1027, 31752, 398, 11075, 311, 387, 8552, 555, 2944, 315, 264, 10723, 17563, 11, 4500, 28353, 477, 1023, 10723, 40968, 4107, 26, 323, 706, 539, 11, 2949, 8254, 320, 22, 8, 1667, 505, 279, 2457, 315, 3851, 11, 1027, 1766, 555, 264, 5590, 311, 17477, 459, 14247, 12190, 29736, 315, 6129, 11682, 11, 439, 4613, 304, 11106, 220, 1644, 11, 15957, 220, 21, 11, 3744, 220, 20, 11, 1606, 315, 10723, 17563, 280, 12, 86561, 539, 387, 459, 20167, 38484, 477, 39957, 3725, 304, 279, 3723, 4273, 280, 12, 86561, 539, 617, 1027, 57191, 505, 279, 42494, 30500, 1234, 12269, 263, 25745, 4787, 320, 73933, 263, 25745, 32643, 11, 3958, 6929, 32643, 477, 1023, 1109, 74590, 32643, 15957, 220, 9565, 15, 12, 17, 12, 20, 14863, 2437, 320, 20, 317, 12, 20636, 1027, 264, 22618, 315, 279, 3723, 4273, 11, 32177, 4985, 539, 617, 5790, 20018, 872, 33779, 280, 12, 86561, 539, 617, 1027, 23959, 315, 264, 59092, 9977, 315, 13018, 9349, 439, 4613, 304, 220, 972, 549, 815, 732, 885, 13, 220, 22536, 320, 1644, 317, 12, 86561, 539, 387, 12588, 3674, 4868, 28353, 7720, 555, 2944, 315, 13200, 44393, 11, 5623, 44393, 477, 10723, 28353, 26, 7436, 2059, 543, 539, 617, 1027, 23959, 315, 279, 17193, 315, 82895, 280, 5451, 11, 19545, 420, 2723, 1492, 24097, 3314, 8704, 13562, 7473, 13, 320, 1277, 1129, 8910, 516, 39718, 739, 77, 14489, 54660, 5618, 1935, 279, 892, 311, 733, 927, 1521, 11470, 389, 1268, 499, 649, 4254, 369, 701, 24097, 1614, 6920, 11810, 13, 1226, 1456, 311, 2567, 420, 2199, 709, 4791, 18920, 439, 502, 2038, 18911, 5196, 627, 2746, 420, 374, 701, 1176, 4034, 311, 279, 32023, 16406, 11, 499, 61975, 1518, 2555, 1093, 420, 512, 3461, 279, 8704, 13562, 3700, 45803, 5769, 320, 16, 8, 323, 78131, 279, 12506, 1920, 320, 17, 997, 12805, 499, 4254, 11, 1234, 279, 8704, 13562, 3700, 45803, 5769, 11, 3373, 21194, 369, 264, 8704, 13562, 63842, 81739, 627, 12805, 499, 3810, 701, 2038, 11, 499, 690, 5371, 459, 3851, 1396, 323, 20109, 1396, 627, 12289, 467, 701, 220, 24, 477, 220, 605, 16099, 60337, 1396, 13, 1115, 374, 1268, 584, 19570, 449, 279, 20804, 53, 369, 422, 499, 5946, 279, 3388, 13, 1442, 499, 656, 539, 3810, 420, 1396, 389, 279, 1879, 5352, 1376, 477, 3810, 433, 44447, 11, 499, 690, 617, 311, 312, 12, 10492, 323, 2160, 731, 279, 3388, 1603, 499, 649, 5371, 701, 6920, 11810, 627, 38255, 311, 8704, 52921, 198, 2028, 29438, 311, 8704, 52921, 32653, 4967, 538, 690, 4639, 279, 6913, 6677, 11, 7512, 323, 19451, 5995, 369, 41377, 323, 1701, 264, 57905, 21676, 13, 763, 5369, 11, 420, 538, 706, 1027, 6319, 439, 264, 832, 10539, 19101, 449, 279, 33315, 11, 902, 3445, 279, 538, 374, 539, 2631, 311, 1833, 264, 33956, 18909, 11, 323, 649, 5357, 477, 923, 311, 5789, 315, 1205, 439, 2631, 555, 279, 4236, 627, 12, 8704, 13562, 33025, 612, 23088, 11850, 198, 12, 3383, 34686, 6677, 198, 12, 13492, 78114, 315, 57905, 10658, 198, 12, 34459, 16842, 61881, 198, 12, 3861, 67454, 91477, 16543, 198, 12, 28929, 612, 6952, 19721, 11, 60565, 612, 86047, 198, 2028, 538, 374, 6319, 369, 279, 1274, 449, 1633, 2697, 311, 912, 6677, 315, 99636, 11, 477, 1884, 889, 527, 1667, 704, 315, 6725, 323, 1390, 264, 1695, 2098, 86524, 3388, 13, 578, 1176, 6596, 315, 279, 538, 374, 7543, 304, 279, 24978, 25394, 279, 2204, 4595, 315, 99636, 323, 1268, 311, 3790, 1124, 21676, 11, 37768, 323, 8811, 22124, 11, 323, 279, 57940, 315, 57905, 10658, 627, 791, 2132, 6596, 374, 7543, 389, 279, 2134, 11, 3815, 5150, 10658, 449, 264, 8205, 315, 16766, 11, 12146, 555, 279, 33315, 311, 5052, 279, 32671, 13, 578, 32874, 315, 30031, 11, 14254, 6945, 11, 323, 8346, 2585, 527, 46728, 311, 35608, 2450, 279, 1176, 892, 704, 13, 4740, 27666, 420, 538, 11, 279, 32671, 690, 387, 3025, 311, 21676, 1005, 279, 2134, 2085, 38217, 627, 1135, 20101, 315, 37768, 13, 8650, 1587, 539, 2997, 37768, 719, 649, 387, 4183, 3196, 389, 22698, 315, 5575, 2391, 3388, 13, 2360, 19161, 82, 1389, 17367, 18124, 3149, 8442, 12340 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 5159, 220, 17, 303, 1938, 520, 9419, 87, 768, 574, 264, 64783, 19703, 315, 8492, 69, 3104, 39535, 13, 1952, 430, 1938, 358, 9152, 311, 7142, 264, 5743, 315, 502, 16097, 439, 1664, 439, 4034, 279, 13656, 315, 16097, 430, 527, 2736, 810, 9749, 389, 279, 3157, 13, 1102, 574, 1101, 264, 2766, 16627, 9523, 311, 13739, 323, 4455, 4737, 2035, 304, 10017, 3130, 13, 1628, 37798, 9523, 311, 459, 11714, 6574, 449, 5277, 323, 507, 11253, 1335, 23488, 1274, 323, 14177, 449, 25566, 5697, 13, 220, 18, 6634, 1938, 574, 539, 1524, 832, 2766, 2753, 7185, 13, 1102, 574, 1101, 856, 1620, 1938, 1070, 627, 34212, 220, 18, 1389, 220, 17, 303, 315, 5936, 198, 2181, 574, 264, 40798, 7884, 449, 264, 2766, 315, 264, 6693, 37401, 13, 1666, 5246, 439, 358, 11721, 520, 393, 90514, 445, 2259, 2577, 426, 37489, 1405, 578, 32498, 574, 7559, 11, 856, 7504, 1051, 15910, 311, 279, 10017, 3130, 13, 9062, 1938, 279, 6762, 574, 8736, 520, 220, 605, 25, 966, 323, 389, 430, 1938, 433, 574, 1101, 279, 6596, 315, 279, 1176, 1567, 304, 54406, 2411, 13, 358, 4934, 311, 9604, 264, 31678, 25891, 25, 1054, 3648, 59189, 95597, 25, 362, 5899, 57188, 10506, 11, 220, 1049, 21, 311, 220, 679, 20, 863, 323, 279, 19114, 369, 433, 574, 8096, 37863, 11, 889, 6244, 11495, 9523, 311, 813, 2363, 1054, 37, 4193, 95597, 315, 279, 4435, 863, 430, 1690, 315, 603, 2980, 264, 67443, 61301, 1475, 22535, 372, 9265, 1288, 617, 13, 358, 2751, 264, 6140, 311, 3449, 4491, 37863, 279, 11714, 1603, 2391, 279, 6574, 449, 49746, 689, 17882, 7826, 4935, 13, 1226, 15243, 264, 2766, 11, 48501, 1057, 2626, 7563, 13, 1628, 499, 1440, 1148, 30, 1115, 2751, 757, 100174, 1606, 994, 358, 6688, 856, 3786, 311, 4491, 37863, 568, 55841, 1054, 64938, 380, 304, 279, 55085, 30, 358, 1440, 889, 499, 527, 11, 358, 1833, 701, 5117, 863, 323, 358, 6612, 17235, 2854, 38759, 13, 3161, 430, 304, 856, 4059, 433, 574, 1524, 11493, 17069, 311, 9020, 311, 813, 31678, 627, 16397, 813, 8982, 4491, 37863, 8774, 9204, 603, 5370, 27223, 449, 8508, 95597, 71974, 304, 2204, 5627, 13, 5629, 832, 10666, 2860, 1396, 315, 8508, 95597, 1990, 220, 1049, 21, 323, 220, 679, 20, 18255, 1139, 8954, 11, 8762, 323, 6222, 8508, 95597, 13, 423, 19184, 12391, 430, 279, 3392, 315, 8762, 323, 8954, 8508, 95597, 374, 44649, 520, 264, 2853, 315, 7859, 1396, 315, 653, 76353, 33935, 13, 9479, 9676, 574, 264, 20326, 315, 8508, 95597, 18255, 1139, 11306, 1778, 439, 81098, 1370, 69, 3471, 648, 11, 34899, 11, 22535, 372, 388, 11, 28948, 323, 22535, 3471, 552, 13, 578, 2800, 1903, 264, 5357, 389, 56227, 8689, 323, 1207, 2269, 60004, 13, 5046, 3388, 279, 1925, 17102, 574, 430, 279, 3392, 315, 67443, 38175, 824, 1060, 374, 10671, 17235, 1579, 719, 4184, 311, 4491, 37863, 1070, 527, 2103, 5151, 430, 649, 387, 4726, 36131, 11, 1778, 439, 93032, 477, 93032, 12556, 10020, 1156, 812, 369, 3187, 13, 22172, 9508, 84461, 1534, 555, 813, 25429, 7556, 459, 520, 279, 842, 568, 4036, 1403, 20101, 315, 64626, 13, 2876, 14792, 520, 682, 11, 433, 574, 264, 2294, 31678, 627, 4699, 311, 22843, 1063, 810, 67443, 11, 358, 30418, 58763, 24551, 320, 791, 72548, 3972, 7023, 20898, 8, 323, 584, 4024, 311, 7142, 810, 1156, 812, 13, 1226, 10717, 555, 264, 36506, 315, 279, 6883, 7086, 23886, 17326, 11, 29123, 555, 872, 4382, 11, 48494, 323, 26861, 16893, 2955, 13, 1226, 617, 86798, 220, 21, 315, 872, 22535, 19131, 323, 311, 856, 13051, 1389, 358, 15262, 872, 24195, 1553, 279, 1455, 4999, 5159, 1828, 3009, 574, 1398, 30532, 294, 529, 1688, 68249, 11, 264, 502, 6883, 430, 574, 1120, 4316, 10831, 520, 220, 23, 339, 14002, 315, 9419, 87, 768, 13, 2435, 11721, 520, 279, 28099, 19167, 449, 220, 18, 8508, 95597, 11, 14948, 555, 220, 18, 2204, 44948, 1543, 69792, 13, 386, 1339, 265, 72353, 324, 1291, 574, 682, 922, 279, 11401, 323, 574, 10171, 311, 95263, 279, 15034, 14356, 13, 578, 41466, 315, 81460, 11, 348, 822, 10145, 11, 33633, 11, 3167, 74, 323, 453, 80660, 5919, 574, 56085, 315, 97103, 264, 6883, 502, 323, 4335, 13354, 430, 706, 1120, 1027, 11245, 291, 13, 386, 1339, 265, 921, 12119, 325, 324, 13656, 369, 264, 72619, 59775, 323, 279, 67443, 50737, 315, 16603, 11, 18012, 323, 594, 1354, 13, 578, 1620, 832, 574, 386, 1339, 265, 11186, 64, 484, 1291, 11, 279, 17293, 7218, 1389, 279, 67443, 574, 73624, 11, 24670, 1094, 323, 264, 2766, 4335, 323, 1047, 430, 15206, 46258, 2515, 4999, 12487, 358, 6773, 430, 358, 1390, 311, 1456, 279, 8508, 95597, 555, 96664, 1286, 2009, 21152, 783, 13, 96664, 1286, 5678, 1511, 311, 387, 459, 12360, 304, 34596, 11, 1243, 568, 574, 1101, 11486, 7060, 100049, 323, 9024, 30668, 13, 38274, 568, 99507, 1139, 22535, 372, 727, 2115, 323, 439, 459, 19077, 568, 3940, 311, 4048, 13, 17830, 568, 11887, 264, 67443, 4526, 13, 358, 574, 5115, 1554, 23257, 555, 813, 445, 529, 36, 2933, 2522, 438, 1604, 817, 11, 902, 574, 264, 4856, 14265, 323, 86282, 6651, 315, 15286, 261, 974, 11, 18012, 323, 6445, 461, 372, 13, 2030, 433, 574, 4953, 1923, 460, 11, 279, 7019, 67, 727, 22843, 315, 65042, 11, 80836, 323, 1023, 8554, 430, 574, 1633, 1790, 1093, 264, 74683, 11, 430, 574, 264, 13946, 369, 757, 627, 6107, 30488, 1070, 574, 264, 36506, 315, 38243, 32744, 1141, 56057, 13, 358, 617, 2322, 1077, 369, 279, 1176, 892, 4376, 264, 1060, 6931, 520, 21823, 72, 304, 48606, 11, 1364, 27569, 757, 505, 1203, 1243, 13, 358, 574, 11784, 311, 264, 502, 4526, 7086, 356, 10670, 288, 31706, 315, 220, 17, 1156, 812, 18534, 5144, 315, 39551, 4978, 323, 18145, 16080, 13, 11995, 86798, 1633, 19018, 311, 856, 19689, 11, 814, 1047, 264, 2763, 315, 281, 2234, 2301, 323, 90030, 13, 19173, 279, 8508, 95597, 1051, 8220, 1633, 20193, 1603, 9419, 87, 768, 323, 279, 45892, 527, 2103, 304, 279, 9155, 21597, 1920, 779, 1070, 1051, 912, 10688, 2561, 11, 7344, 358, 690, 636, 1124, 3010, 627, 31082, 11, 1306, 358, 617, 1903, 264, 5743, 315, 20101, 1828, 311, 872, 2559, 389, 3766, 2919, 323, 433, 574, 2744, 13326, 11, 358, 2751, 18069, 311, 1522, 1828, 311, 83440, 2192, 2559, 994, 433, 574, 12309, 11594, 1070, 13, 2468, 279, 2559, 358, 2322, 279, 22535, 3471, 11937, 11, 37048, 55034, 83440, 2192, 889, 6222, 449, 757, 279, 3649, 315, 1077, 5652, 9886, 13, 2100, 1981, 1364, 706, 2884, 459, 78073, 67443, 1389, 507, 664, 3804, 40043, 430, 8336, 264, 1972, 78073, 5707, 505, 62138, 320, 652, 7725, 520, 220, 972, 11, 931, 38188, 611, 21647, 8, 3005, 35526, 433, 449, 5655, 11, 6453, 16392, 11, 829, 544, 2298, 323, 1023, 49659, 13, 3277, 499, 6865, 430, 499, 1176, 1781, 430, 433, 3250, 1431, 22843, 18699, 1606, 1070, 527, 264, 5743, 78073, 489, 16392, 489, 829, 544, 2298, 22535, 19131, 704, 1070, 13, 59121, 757, 11, 507, 664, 3804, 40043, 374, 5922, 279, 1456, 439, 358, 1505, 433, 2216, 6366, 13, 578, 56227, 574, 10666, 304, 264, 502, 16893, 439, 1664, 439, 304, 264, 3361, 10095, 2171, 304, 902, 264, 16893, 706, 264, 8824, 315, 220, 5154, 16116, 323, 4131, 449, 264, 74815, 481, 2678, 1344, 23184, 627, 12487, 358, 2322, 55629, 1578, 889, 574, 34227, 9451, 287, 2212, 9419, 87, 768, 22150, 2163, 323, 1314, 1606, 1884, 1051, 1077, 1566, 4207, 11, 1364, 574, 2133, 1203, 2162, 304, 4216, 13658, 389, 7884, 13, 1226, 27851, 14407, 1148, 584, 617, 6818, 11, 1148, 584, 15262, 323, 6688, 1855, 1023, 1063, 28782, 389, 1148, 574, 5922, 6666, 627, 12487, 358, 1903, 433, 311, 4275, 8458, 6383, 2727, 556, 7948, 811, 2559, 3131, 1578, 311, 10512, 872, 24415, 2559, 10409, 449, 6366, 19837, 13, 358, 1101, 27851, 10717, 555, 45721, 3838, 315, 8560, 1347, 372, 2559, 719, 814, 1051, 13326, 323, 1047, 4400, 502, 779, 358, 3287, 1431, 20753, 311, 3868, 627, 69656, 94916, 64, 36823, 458, 574, 856, 1828, 3009, 13, 4740, 358, 2216, 11299, 369, 2009, 95514, 1566, 1060, 358, 8774, 13598, 502, 2574, 505, 420, 6883, 13, 1115, 3280, 814, 617, 11887, 432, 25888, 24082, 5781, 11, 14948, 555, 49971, 61122, 1141, 32692, 11857, 12, 13546, 13, 1115, 67443, 1047, 264, 1633, 6307, 8736, 56085, 315, 4018, 16763, 323, 6693, 67532, 13, 578, 56227, 1101, 52924, 220, 18, 2204, 16392, 7718, 32462, 13, 1102, 1047, 264, 17189, 47811, 430, 374, 8659, 5922, 24919, 627, 4054, 315, 279, 1455, 25366, 13656, 520, 9419, 87, 768, 574, 832, 315, 5907, 14094, 797, 3536, 13, 8595, 30, 9393, 433, 574, 264, 2447, 9405, 505, 11093, 8603, 315, 9084, 95674, 61122, 51628, 414, 11, 4323, 4458, 57284, 268, 323, 4488, 426, 2249, 783, 13, 9062, 315, 1124, 3549, 832, 56227, 13, 19173, 358, 3287, 1431, 636, 311, 22843, 1124, 13, 358, 1781, 358, 574, 2109, 14630, 291, 555, 279, 14192, 1918, 315, 264, 16893, 13, 12623, 358, 4344, 832, 315, 1884, 889, 1541, 1431, 1833, 279, 45990, 315, 264, 22535, 3471, 836, 13, 1666, 1317, 439, 358, 1093, 1148, 358, 22843, 11, 358, 1541, 1431, 2216, 2512, 889, 24306, 433, 627, 2170, 433, 574, 3794, 12401, 311, 279, 842, 315, 279, 1938, 358, 8774, 10374, 2753, 892, 520, 1855, 2559, 304, 2015, 311, 1304, 439, 1690, 21728, 439, 3284, 13, 1789, 264, 2478, 4520, 358, 10717, 555, 264, 3113, 315, 10637, 220, 4645, 20, 11, 889, 1047, 264, 17755, 520, 3766, 9419, 87, 768, 13, 1115, 1060, 279, 3838, 10666, 7572, 13131, 329, 13, 1666, 11497, 555, 8096, 3744, 283, 1557, 1389, 6883, 19533, 11, 7572, 13131, 329, 374, 14948, 555, 279, 1633, 1176, 21735, 304, 701, 2324, 13, 362, 67443, 63526, 279, 4647, 73, 6491, 12970, 14902, 449, 264, 22843, 315, 264, 24529, 42365, 323, 7878, 48351, 8554, 627, 2170, 961, 315, 1057, 16163, 1464, 584, 4460, 1063, 7878, 3805, 369, 1057, 39019, 97814, 11, 779, 3871, 449, 25566, 5697, 323, 58763, 24551, 584, 6773, 311, 11894, 603, 1063, 3691, 11, 11033, 323, 733, 4994, 13, 1226, 7846, 1431, 2503, 1314, 4994, 279, 4974, 1606, 279, 22843, 315, 34576, 574, 2288, 19428, 13, 48600, 389, 279, 67292, 315, 578, 32498, 1070, 574, 264, 2678, 6246, 1389, 264, 2478, 3995, 12690, 11, 1063, 7878, 6307, 16763, 323, 23162, 79509, 1389, 1120, 3403, 369, 603, 13, 1226, 14333, 1057, 15496, 11, 1047, 264, 2478, 15526, 14269, 323, 3952, 264, 5743, 315, 7397, 3871, 13, 5112, 584, 3782, 1203, 304, 11, 25566, 5697, 6052, 311, 1077, 36506, 323, 58763, 24551, 323, 358, 8738, 1057, 27501, 627, 1688, 55535, 555, 279, 1633, 38291, 1427, 315, 279, 27474, 584, 6773, 311, 3009, 555, 323, 22843, 279, 33935, 315, 423, 8115, 14433, 1088, 4366, 69, 3471, 648, 13, 578, 8508, 95597, 1047, 264, 1633, 38291, 22843, 311, 1124, 11, 814, 1051, 9257, 323, 11646, 11, 2884, 2085, 30485, 13, 9062, 56227, 574, 52258, 304, 264, 6366, 16893, 449, 3776, 44979, 447, 12616, 2107, 430, 389, 1202, 1948, 574, 37109, 449, 832, 315, 4330, 97549, 315, 49459, 423, 8115, 627, 8140, 1828, 3009, 574, 520, 53618, 3074, 38538, 2436, 264, 6883, 430, 1047, 5370, 2574, 304, 872, 3085, 13, 2468, 1176, 584, 86798, 1633, 1579, 4367, 52305, 11, 1855, 12514, 311, 264, 2204, 3280, 13, 7570, 555, 97103, 279, 9168, 5405, 1557, 499, 1436, 3371, 430, 279, 56227, 304, 279, 38899, 374, 2216, 3831, 13, 5112, 584, 7882, 389, 311, 22843, 220, 19, 4443, 8508, 95597, 13, 2435, 1051, 1101, 2216, 17104, 323, 814, 1047, 2555, 2204, 311, 3085, 13, 17830, 584, 1101, 6818, 3130, 41466, 3722, 4312, 505, 872, 3085, 323, 1884, 1101, 3287, 1431, 14429, 627, 12487, 584, 6818, 452, 7211, 16711, 505, 46211, 1468, 269, 12252, 13, 1102, 574, 264, 86282, 20955, 315, 65042, 323, 18012, 449, 264, 4856, 1554, 70981, 8736, 10474, 13, 578, 16893, 374, 19018, 439, 279, 2107, 374, 9960, 449, 18327, 323, 4156, 315, 1855, 16893, 374, 37109, 449, 1063, 9168, 71624, 85368, 13, 13266, 48679, 527, 9435, 555, 1450, 23391, 430, 1855, 16893, 315, 452, 7211, 16711, 690, 1427, 2204, 13, 1102, 753, 264, 6555, 1648, 315, 3515, 264, 810, 35649, 2373, 315, 279, 41466, 11, 1524, 422, 499, 4250, 7041, 10383, 1268, 433, 690, 1427, 1093, 304, 279, 842, 90578, 5971, 584, 617, 6818, 11233, 64110, 46601, 25227, 346, 10175, 6473 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 56441, 279, 8219, 198, 8100, 753, 779, 18059, 11, 420, 33116, 15796, 12669, 11, 63232, 2465, 287, 304, 11506, 1619, 45188, 323, 26139, 520, 2294, 8286, 449, 1077, 10868, 4418, 3919, 520, 3061, 6605, 78, 16132, 18059, 13, 20636, 1120, 8667, 264, 5226, 430, 690, 2567, 279, 34821, 304, 2035, 520, 279, 9689, 1555, 220, 679, 17, 11, 33116, 706, 3719, 1524, 810, 665, 24410, 291, 304, 279, 3363, 449, 264, 502, 18059, 65524, 5609, 389, 279, 14827, 4418, 3919, 612, 33116, 8176, 11, 323, 555, 25694, 279, 41385, 27966, 87736, 27315, 25525, 315, 279, 9941, 10292, 311, 387, 10666, 520, 279, 452, 18066, 753, 5348, 612, 5929, 13131, 520, 12366, 16132, 18059, 304, 6186, 627, 791, 709, 69290, 78, 18059, 5609, 753, 2316, 2795, 433, 682, 11, 1054, 53, 15186, 10919, 2476, 323, 33116, 2795, 279, 26306, 690, 617, 9489, 5364, 867, 2171, 22867, 14535, 13, 1054, 10596, 704, 11, 67306, 323, 3451, 53, 10126, 16132, 18059, 23189, 19524, 1364, 1071, 449, 264, 12835, 3432, 2391, 264, 4641, 10652, 439, 1364, 574, 1054, 263, 856, 1648, 311, 990, 2029, 578, 502, 11325, 374, 4418, 3919, 612, 33116, 753, 1176, 4984, 2533, 220, 4468, 23, 11, 279, 1060, 814, 4018, 1054, 17400, 1251, 86956, 863, 323, 279, 45999, 369, 1054, 38, 2003, 529, 3623, 444, 6256, 2029, 578, 502, 8176, 574, 12715, 520, 33116, 753, 2162, 14356, 323, 374, 13847, 369, 4984, 304, 6664, 627, 2181, 1903, 5647, 311, 2997, 264, 18059, 1396, 11, 2728, 430, 33116, 374, 832, 315, 603, 1521, 2919, 627, 10378, 3604, 1097, 264, 16132, 63215, 2476, 33116, 1071, 13, 1054, 40, 3974, 1618, 11, 323, 584, 4934, 311, 656, 264, 5609, 922, 16132, 18059, 13, 1226, 617, 1063, 4113, 11936, 11, 1063, 14861, 13, 358, 7936, 264, 5743, 315, 4113, 11936, 13839, 11, 4418, 3919, 68341, 264, 5743, 315, 4113, 11936, 13839, 13, 1102, 374, 264, 1695, 6651, 2029, 578, 2316, 12775, 956, 3686, 1027, 6773, 19073, 13, 33116, 1101, 706, 12715, 1077, 1866, 8176, 315, 57314, 11936, 25891, 11, 330, 7184, 9930, 1226, 2052, 5751, 4359, 1359, 902, 690, 4668, 43516, 9863, 11, 2665, 17260, 323, 9246, 11, 4245, 520, 279, 842, 315, 279, 2305, 627, 2181, 5084, 439, 422, 4418, 3919, 612, 33116, 617, 1027, 3061, 6605, 78, 2010, 3817, 388, 3117, 5129, 1109, 1120, 220, 806, 4038, 11, 994, 814, 3940, 872, 1629, 520, 279, 9689, 596, 11670, 87235, 13, 2030, 279, 34821, 656, 2873, 10882, 439, 279, 1501, 706, 449, 52784, 279, 39621, 323, 7154, 41687, 279, 87235, 1855, 3814, 13, 1054, 40, 4344, 56501, 279, 3363, 11, 323, 433, 753, 14964, 11, 505, 279, 35999, 311, 1057, 4029, 304, 45677, 11, 323, 358, 4344, 6975, 264, 2763, 922, 279, 961, 315, 16132, 18059, 1274, 1541, 1431, 1518, 13, 2564, 4418, 3919, 323, 358, 7020, 584, 7070, 387, 3815, 2555, 3871, 1578, 11, 584, 7070, 15243, 922, 433, 369, 5115, 264, 2766, 315, 892, 11, 323, 584, 4934, 311, 387, 304, 264, 2035, 430, 9989, 43398, 1695, 11, 2653, 64992, 46276, 388, 11, 9454, 323, 91129, 323, 67306, 11, 1274, 1093, 430, 49216, 644, 430, 1920, 11, 279, 452, 18066, 16495, 33116, 311, 39580, 1077, 836, 311, 459, 7471, 430, 1047, 311, 1304, 5199, 15455, 304, 5687, 323, 45518, 927, 279, 3347, 3892, 4038, 627, 2170, 279, 452, 18066, 25525, 315, 279, 9941, 11, 33116, 15796, 12669, 29782, 1778, 3293, 5954, 461, 288, 439, 64489, 46172, 320, 1049, 16, 705, 921, 6388, 64210, 320, 1049, 17, 705, 10463, 921, 6073, 320, 1049, 18, 705, 356, 4939, 65157, 320, 1049, 19, 705, 9489, 5364, 867, 2171, 320, 1049, 20, 705, 72068, 48538, 1215, 320, 1049, 21, 705, 62253, 52698, 320, 1049, 22, 705, 12015, 61822, 666, 8035, 320, 1049, 23, 8, 323, 11, 1566, 1060, 11, 426, 6672, 14013, 1565, 13, 1952, 430, 1160, 11, 1193, 279, 27076, 2740, 294, 2715, 88, 52698, 11, 449, 1077, 84955, 53891, 311, 16132, 18059, 320, 32158, 7543, 1790, 315, 279, 3814, 315, 279, 220, 1049, 22, 5348, 612, 5929, 97580, 22797, 311, 279, 452, 18066, 439, 1054, 45, 5230, 2649, 4409, 87736, 56955, 706, 9508, 5986, 26831, 26451, 13, 23116, 4227, 11, 452, 18066, 7510, 11, 2737, 1080, 36927, 35336, 60700, 784, 2053, 11, 6773, 311, 1888, 363, 279, 25525, 315, 279, 9941, 16044, 389, 6630, 1302, 449, 5426, 11, 323, 1524, 6625, 11, 13633, 2410, 304, 459, 5149, 311, 33505, 264, 3177, 389, 279, 2883, 13, 1102, 8779, 11, 7995, 11, 430, 1521, 3278, 617, 10887, 389, 264, 14738, 5912, 8197, 304, 16132, 18059, 627, 10378, 574, 3169, 315, 3411, 520, 420, 1160, 11, 323, 499, 1427, 520, 1274, 1093, 64489, 46172, 11, 323, 1148, 459, 16044, 311, 387, 389, 264, 1160, 449, 1077, 2476, 33116, 1071, 13, 1054, 3112, 1455, 315, 1124, 11, 584, 4070, 3604, 6575, 449, 2029, 3082, 13, 4418, 3919, 612, 33116, 617, 1027, 93635, 449, 264, 49723, 3117, 87248, 4526, 315, 16924, 24699, 13, 3861, 315, 279, 810, 11890, 14269, 304, 4418, 3919, 612, 33116, 753, 1501, 520, 279, 3061, 6605, 78, 374, 994, 264, 97044, 315, 27203, 505, 872, 8205, 323, 3137, 5039, 374, 6476, 389, 279, 2466, 4264, 13, 578, 20441, 1160, 315, 1884, 889, 617, 9922, 449, 279, 10868, 1355, 1601, 1180, 2997, 3959, 72, 36194, 1394, 11, 12103, 3919, 612, 56207, 11, 23278, 45248, 63210, 11, 14103, 4618, 13131, 11, 14596, 18231, 11, 3441, 64519, 27205, 323, 328, 41262, 14588, 70, 627, 49977, 753, 539, 2737, 480, 583, 971, 28187, 2476, 33116, 3779, 13, 1054, 38, 583, 971, 28187, 1198, 568, 574, 304, 264, 54618, 11, 323, 568, 2103, 9160, 2454, 856, 31056, 49216, 12331, 648, 2795, 279, 25525, 315, 279, 9941, 43851, 374, 810, 264, 58738, 45036, 16044, 1109, 264, 22599, 315, 1077, 20697, 3993, 439, 264, 64682, 627, 10378, 4070, 2646, 1027, 264, 64682, 13, 8886, 499, 56825, 30, 14910, 499, 1518, 279, 1176, 9417, 315, 3451, 35, 9151, 3161, 279, 25676, 45258, 19524, 1364, 1071, 11, 32681, 1063, 810, 13, 1054, 40, 1097, 264, 2731, 64682, 1109, 4418, 3919, 11, 3582, 13, 358, 2733, 11, 422, 358, 1097, 2133, 311, 387, 1618, 11, 358, 1097, 2133, 311, 387, 19261, 704, 323, 10695, 1521, 48776, 11351, 323, 51371, 627, 35816, 527, 1063, 2216, 2294, 1274, 704, 1618, 11, 57843, 12671, 198, 2822, 3488, 13, 1666, 814, 2019, 11, 743, 433, 311, 4731, 627, 8161, 3919, 612, 33116, 527, 14836, 1022, 369, 264, 2478, 2919, 320, 23449, 505, 7418, 1555, 5033, 13, 220, 1187, 8, 369, 264, 8577, 311, 9635, 11, 1405, 814, 690, 17562, 11936, 505, 279, 502, 8176, 323, 5101, 304, 4156, 315, 459, 682, 54312, 273, 1347, 488, 10877, 369, 1054, 2127, 66000, 3161, 4418, 3919, 612, 33116, 863, 311, 387, 13195, 927, 279, 1828, 5743, 315, 4038, 389, 279, 8013, 4009, 94455, 16, 13, 4696, 8079, 753, 423, 40316, 1501, 574, 49723, 30571, 11, 439, 279, 46229, 2663, 709, 93635, 311, 7936, 1054, 34, 12350, 863, 449, 33116, 6656, 704, 311, 387, 459, 6666, 20624, 2827, 23747, 13824, 7086, 37373, 889, 32367, 4460, 311, 387, 83612, 1022, 33116, 439, 279, 1403, 6435, 84852, 13, 25929, 11, 1364, 4691, 1461, 11, 58134, 398, 11, 1054, 9241, 753, 856, 400, 1041, 11, 37373, 12671, 323, 37373, 3604, 45519, 1203, 93635, 449, 264, 400, 1041, 4121, 13, 3005, 3309, 1461, 311, 33009, 279, 3300, 311, 832, 315, 1077, 7075, 51371, 11, 279, 15394, 753, 77064, 8304, 13, 3053, 1431, 2019, 422, 420, 8741, 1475, 3814, 11, 477, 520, 682, 11, 719, 433, 574, 5128, 15526, 13, 4696, 13596, 4545, 10791, 25, 12220, 279, 5743, 753, 15612, 12744, 10449, 11, 4418, 3919, 2216, 4375, 813, 31056, 1022, 13, 1283, 10887, 264, 12903, 3351, 323, 11, 439, 33116, 68329, 11, 568, 7111, 1093, 279, 18366, 351, 822, 3090, 1501, 627, 23958, 505, 279, 17979, 11182, 198, 34, 50090, 40710, 71, 89105, 374, 10209, 264, 11191, 6412, 520, 1077, 9167, 315, 14599, 36136, 11, 279, 40710, 4783, 11, 520, 220, 8259, 23, 328, 13, 21115, 5955, 50541, 13, 17331, 7884, 11, 682, 3673, 527, 220, 1135, 3346, 1022, 13, 40710, 71, 89105, 11, 832, 315, 279, 56035, 315, 279, 9474, 323, 5629, 6740, 11, 1071, 1364, 11887, 279, 6412, 1606, 1054, 40, 4344, 1120, 4560, 311, 7068, 1063, 8070, 11, 1093, 16470, 775, 2029, 1442, 499, 9167, 1431, 12263, 320, 438, 1524, 422, 499, 617, 705, 279, 40710, 4783, 374, 1120, 6799, 449, 15234, 323, 70706, 27387, 3276, 8467, 11, 2737, 5115, 264, 2763, 315, 2362, 6593, 24198, 430, 1427, 5115, 42108, 719, 1304, 1695, 10652, 9863, 627, 11649, 11, 584, 5616, 617, 264, 22785, 54992, 13486, 5594, 7756, 49254, 389, 279, 35999, 13, 1102, 753, 28640, 36470, 11, 889, 11, 24895, 555, 264, 4526, 315, 682, 1474, 1604, 16101, 61583, 11, 1457, 1587, 264, 2539, 41238, 3972, 21455, 315, 54992, 13486, 753, 1054, 11126, 49113, 320, 19648, 264, 22249, 1952, 1102, 99382, 449, 459, 10877, 10039, 44057, 5818, 2316, 439, 7057, 13, 1115, 1396, 374, 21482, 672, 291, 3221, 279, 842, 315, 813, 1054, 43346, 1102, 3216, 863, 24601, 520, 578, 18732, 295, 1122, 11, 323, 433, 753, 14964, 627, 39, 15345, 264, 4106, 1450, 11, 578, 18732, 295, 1122, 706, 11838, 36470, 753, 53966, 1555, 6287, 220, 679, 15, 13, 36470, 1101, 374, 3552, 315, 279, 502, 2373, 315, 279, 1847, 1501, 1054, 10267, 753, 7557, 264, 27359, 863, 389, 24991, 7314, 5020, 13, 220, 20, 13, 72633, 36470, 20784, 389, 279, 2853, 39255, 10877, 690, 387, 264, 18336, 25959, 505, 279, 2919, 315, 9995, 88, 11166, 13, 3161, 36470, 11, 279, 3552, 2643, 636, 26435, 709, 11, 2288, 13, 1666, 54992, 13486, 11, 1524, 627, 34774, 3814, 11, 279, 11165, 1026, 374, 20256, 1202, 14013, 63666, 13120, 753, 18308, 4717, 11, 279, 7057, 315, 902, 374, 1054, 32, 62248, 753, 4673, 15404, 33540, 4058, 2029, 578, 282, 7870, 8638, 520, 220, 605, 281, 749, 13, 323, 14741, 527, 400, 1049, 311, 400, 5154, 13, 62248, 48374, 11, 477, 520, 3325, 264, 7056, 11, 527, 1071, 311, 387, 2631, 369, 4441, 13, 2206, 30, 358, 4344, 2133, 439, 37828, 426, 14210, 627, 8538, 220, 20253, 14825, 5030, 198, 2028, 82880, 456, 374, 961, 315, 279, 5513, 10449, 389, 18396, 753, 9417, 315, 220, 20253, 14825, 389, 18059, 6007, 320, 605, 25, 966, 281, 749, 2637, 39760, 34585, 5613, 220, 975, 997, 68932, 12365, 315, 1274, 520, 1514, 11, 264, 893, 889, 38484, 43335, 304, 264, 48270, 5795, 13217, 3634, 520, 48691, 5657, 389, 350, 45036, 3444, 17569, 323, 46707, 3023, 6825, 706, 1027, 12800, 449, 264, 6636, 315, 12079, 11217, 13, 362, 22010, 6406, 5657, 10289, 9640, 25735, 279, 1841, 3221, 279, 42715, 3158, 311, 3085, 264, 3451, 82630, 10163, 23189, 323, 420, 7564, 574, 1766, 311, 617, 92152, 304, 279, 1841, 13, 3092, 3488, 374, 11, 889, 5334, 77490, 555, 279, 5657, 10289, 13971, 30, 1226, 3207, 539, 7556, 922, 279, 72021, 4059, 1618, 13, 1115, 374, 279, 3169, 315, 1162, 6118, 29056, 555, 3451, 49, 12052, 220, 17000, 753, 529, 9640, 423, 4134, 13, 1115, 374, 279, 46141, 8510, 478, 1162, 315, 5076, 42761, 11, 5076, 7394, 2533, 7043, 1050, 392, 729, 6773, 311, 3719, 459, 6822, 4632, 9940, 49216, 14326, 3754, 505, 9995, 72, 9305, 14767, 198, 37, 18953, 18, 374, 8260, 369, 264, 53645, 315, 1054, 29518, 78964, 863, 3156, 279, 1501, 12716, 1203, 62253, 52698, 13, 2100, 3117, 11, 279, 1501, 706, 539, 7263, 1203, 62253, 52698, 627, 12763, 3842, 735, 1900, 321, 4512, 288, 389, 6405, 520, 23068, 916, 14, 88960, 42, 1900, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 28259, 220, 22, 11, 220, 679, 16, 198, 9619, 37733, 11, 41889, 13, 482, 578, 6295, 4410, 15217, 7460, 315, 279, 9941, 15341, 72093, 574, 279, 1176, 315, 11888, 3400, 3314, 8797, 37733, 4311, 39056, 11, 323, 279, 1176, 315, 2380, 47711, 311, 387, 4183, 304, 279, 11999, 4883, 315, 279, 220, 679, 16, 17559, 9130, 38258, 5629, 9941, 25640, 29664, 5762, 304, 1561, 4356, 505, 5651, 220, 21, 12, 23, 627, 791, 11888, 294, 15817, 30900, 2489, 279, 47711, 6, 31487, 7928, 10165, 538, 304, 2978, 3925, 13, 8797, 37733, 1101, 1047, 11888, 4311, 4529, 304, 220, 679, 15, 627, 91808, 1176, 84403, 323, 2163, 37240, 42070, 15341, 72093, 320, 81686, 21215, 11, 41889, 2637, 17816, 6985, 34514, 8, 574, 4183, 555, 279, 36918, 81511, 439, 279, 220, 9263, 267, 8244, 3820, 1120, 832, 7858, 3485, 27144, 1314, 2902, 8363, 32320, 35236, 320, 34, 869, 2259, 11, 41889, 2637, 63736, 2259, 34514, 8, 889, 574, 4529, 555, 279, 1561, 4356, 57535, 439, 279, 220, 9413, 303, 2851, 13, 31870, 1314, 2902, 8363, 2360, 68, 72093, 320, 37440, 9853, 12167, 11, 41889, 2637, 1708, 71, 3042, 969, 34514, 8, 8272, 520, 220, 10239, 11, 1694, 39056, 555, 279, 10406, 3816, 39645, 311, 4686, 279, 11999, 21691, 90203, 113588, 627, 91808, 1314, 37240, 42070, 33172, 20151, 19030, 320, 71553, 39395, 11, 41889, 2637, 82270, 3314, 8, 574, 4529, 555, 33225, 9332, 80775, 304, 4883, 4848, 320, 8848, 8244, 8, 323, 27144, 1314, 88, 40979, 507, 6, 39594, 320, 49, 1986, 579, 11, 41889, 11, 59796, 34514, 8, 6244, 279, 18172, 28547, 4529, 304, 279, 10165, 11, 459, 37477, 21691, 3820, 555, 279, 30781, 362, 596, 520, 220, 4146, 8244, 627, 1542, 688, 15258, 20101, 5946, 1603, 279, 1828, 28547, 2851, 574, 12146, 13, 578, 10780, 5929, 779, 87, 3952, 27144, 1314, 37240, 42070, 11517, 6168, 729, 6780, 320, 64248, 33238, 11, 41889, 2637, 18288, 4410, 9304, 8, 304, 279, 220, 914, 339, 4883, 449, 27144, 10007, 79, 675, 6941, 473, 1103, 8248, 320, 1128, 32089, 11, 41889, 2637, 74337, 13345, 9304, 482, 220, 1591, 339, 4883, 11, 19461, 8, 323, 27144, 100106, 261, 13142, 32618, 320, 6720, 13011, 11, 41889, 2637, 356, 618, 26675, 9304, 482, 220, 966, 339, 4883, 11, 36239, 8, 42295, 2574, 709, 389, 1938, 1403, 315, 279, 220, 1135, 21691, 6727, 1920, 13, 19903, 1314, 37240, 42070, 43670, 54521, 320, 6719, 74, 41234, 11, 41889, 2637, 18606, 372, 4978, 11188, 9304, 8, 574, 279, 1566, 28547, 4183, 389, 8079, 11, 2133, 220, 8929, 19, 8244, 304, 279, 220, 2491, 339, 4883, 311, 279, 17368, 25328, 25082, 627, 38075, 43942, 2052, 24145, 15919, 2851, 15341, 72093, 11, 889, 690, 4461, 387, 6646, 439, 264, 2361, 2851, 439, 264, 6721, 11, 4295, 662, 17335, 323, 6197, 279, 47711, 304, 2162, 8640, 320, 24, 8, 323, 54041, 320, 2491, 705, 13280, 320, 5538, 8, 1776, 36368, 30565, 20068, 8, 323, 2115, 287, 11668, 30565, 22992, 8, 304, 220, 679, 16, 627, 1548, 22126, 813, 12235, 1685, 2436, 449, 264, 25462, 5178, 505, 279, 23506, 11, 3339, 1461, 264, 66600, 992, 380, 369, 7427, 38258, 596, 18288, 3165, 12732, 17768, 13, 72093, 574, 264, 4832, 220, 845, 15548, 12, 845, 304, 3665, 10708, 323, 17791, 4846, 28547, 2052, 24145, 323, 4846, 2466, 10966, 2052, 39884, 43130, 356, 1382, 78, 439, 279, 47711, 6, 7076, 27024, 7808, 449, 220, 1958, 13, 1283, 8220, 279, 3280, 220, 16, 12, 16, 449, 264, 220, 17, 13, 1032, 45120, 304, 220, 1313, 27351, 389, 279, 73266, 627, 47, 484, 574, 2500, 24981, 1403, 27896, 2851, 369, 3400, 3314, 8797, 37733, 11, 2133, 220, 22, 12, 16, 449, 264, 220, 17, 13, 1591, 45120, 323, 264, 10017, 69475, 220, 5120, 90026, 11, 682, 279, 1418, 20129, 662, 15726, 449, 92405, 323, 220, 966, 8640, 293, 12400, 304, 13, 35236, 20276, 264, 220, 5120, 4791, 12, 1313, 320, 20, 4791, 12, 16, 8, 13471, 412, 4791, 2695, 1727, 11595, 927, 264, 2128, 69475, 220, 3264, 13, 17, 36100, 13, 1283, 2288, 11, 574, 709, 369, 264, 5426, 2851, 315, 279, 1060, 10292, 11, 279, 5165, 57665, 6629, 38258, 30504, 596, 10229, 596, 23373, 2650, 805, 17768, 13, 1283, 690, 387, 7111, 520, 15871, 439, 264, 42070, 627, 47, 484, 15662, 279, 1193, 28547, 3243, 304, 279, 3293, 8797, 37733, 26361, 449, 264, 65973, 88, 220, 23, 3502, 1251, 11, 220, 806, 5594, 41752, 412, 5178, 389, 279, 73266, 11, 323, 574, 220, 17, 15548, 12, 18, 449, 1403, 11151, 8768, 520, 279, 12235, 304, 279, 47711, 6, 16520, 36253, 2403, 19174, 627, 47, 484, 11, 4131, 505, 1695, 20075, 21389, 430, 706, 3970, 813, 7126, 11, 8096, 320, 17, 303, 4883, 704, 315, 1579, 2978, 705, 323, 813, 10868, 11, 40203, 320, 22, 339, 4883, 315, 279, 220, 1049, 21, 10165, 705, 8493, 892, 304, 279, 6721, 21467, 13, 40203, 11, 1101, 264, 4846, 28547, 11, 374, 304, 813, 26084, 3280, 304, 279, 5960, 13175, 30835, 7471, 323, 374, 5131, 3521, 6427, 520, 279, 37749, 6830, 2237, 449, 279, 82270, 2895, 95795, 627, 2028, 374, 279, 2132, 892, 23396, 657, 706, 1027, 39056, 13, 1283, 574, 1101, 264, 220, 1987, 339, 4883, 3820, 369, 15745, 1203, 304, 220, 1049, 23, 627, 2460, 7826, 343, 4410, 1176, 43942, 261, 2360, 68, 72093, 6197, 279, 47711, 449, 8223, 15160, 1418, 17437, 264, 1332, 26089, 1130, 220, 16, 13, 3076, 45120, 927, 220, 1954, 13, 17, 36100, 13, 578, 1314, 88, 17948, 704, 220, 6889, 293, 10385, 389, 279, 1060, 2047, 6427, 1461, 1139, 11999, 2035, 389, 279, 3400, 3314, 8797, 37733, 7076, 7054, 220, 605, 1160, 627, 791, 5246, 4791, 15502, 3816, 39645, 22199, 11, 72093, 11, 15243, 311, 41217, 916, 596, 18984, 37582, 77152, 4428, 389, 7742, 627, 12348, 574, 264, 65623, 8430, 11, 893, 1359, 72093, 1071, 922, 1694, 39056, 555, 10406, 627, 10227, 3816, 39645, 11, 433, 596, 264, 2294, 7471, 11, 2294, 14135, 11, 2294, 3925, 13, 358, 2846, 1972, 62454, 311, 387, 961, 315, 430, 1457, 627, 7189, 2103, 2733, 5128, 3958, 922, 1694, 34373, 510, 1527, 1566, 9178, 596, 34260, 26361, 1145, 1606, 358, 8659, 1047, 11493, 17078, 369, 1057, 2128, 13, 1102, 596, 11292, 11, 719, 420, 8659, 7263, 757, 709, 10246, 6153, 11961, 704, 264, 3280, 4245, 311, 34260, 8481, 5718, 11, 279, 1314, 2902, 8363, 20151, 19030, 20276, 264, 220, 21, 12, 18, 3335, 449, 1403, 27024, 304, 220, 777, 27351, 439, 2225, 264, 27795, 323, 59644, 424, 369, 279, 28547, 47541, 5687, 13, 362, 5426, 18824, 449, 82270, 3314, 304, 220, 1049, 23, 11, 20151, 19030, 1903, 3116, 9178, 8638, 369, 279, 47711, 304, 220, 679, 16, 11, 449, 813, 1455, 16358, 5108, 389, 5186, 13, 220, 16, 2403, 31613, 17200, 320, 23, 13, 15, 6933, 11, 220, 17, 473, 11, 220, 15, 432, 4390, 93387, 19030, 574, 264, 220, 1682, 339, 4883, 3820, 369, 17368, 1203, 304, 220, 679, 15, 627, 46, 6, 39594, 596, 20276, 264, 220, 22, 12, 18, 3335, 449, 264, 220, 17, 13, 2096, 45120, 323, 574, 4315, 279, 1888, 13471, 412, 311, 4321, 42338, 304, 279, 7140, 11, 21933, 704, 220, 2131, 323, 11689, 1120, 220, 23, 13, 1283, 1903, 220, 845, 27351, 449, 220, 717, 315, 1884, 5108, 439, 8638, 13, 763, 813, 3116, 16337, 27351, 11, 279, 326, 92916, 1314, 2902, 8363, 6656, 220, 806, 13, 16, 36100, 315, 5573, 1752, 36100, 2737, 264, 220, 20, 3502, 1251, 11, 220, 24, 5594, 41752, 412, 5149, 927, 31613, 16376, 32207, 389, 5186, 13, 845, 627, 20397, 3318, 1120, 220, 1691, 13, 17, 36100, 304, 220, 679, 16, 11, 6168, 729, 6780, 20276, 264, 220, 17, 12, 15, 3335, 449, 1403, 27024, 220, 868, 27351, 13, 1283, 17948, 704, 220, 1627, 323, 15203, 220, 23, 627, 39, 1103, 8248, 11, 264, 220, 1758, 339, 21691, 10165, 3820, 369, 19461, 1203, 304, 220, 1049, 24, 11, 574, 220, 17, 12, 16, 449, 264, 220, 19, 13, 2318, 45120, 304, 220, 605, 27351, 369, 279, 47711, 304, 220, 679, 16, 13, 5414, 1888, 65281, 315, 279, 1060, 19543, 304, 813, 1176, 3243, 11, 264, 220, 20, 3502, 1251, 11, 220, 18, 70201, 1212, 520, 28621, 389, 2947, 13, 220, 1544, 627, 51, 5515, 574, 39056, 369, 279, 4948, 892, 304, 813, 95797, 7076, 389, 7742, 13, 1283, 574, 264, 220, 1114, 339, 4883, 3820, 555, 16759, 304, 220, 1049, 24, 323, 459, 220, 23, 339, 4883, 3820, 555, 10780, 320, 984, 8, 304, 220, 679, 15, 1418, 520, 356, 618, 26675, 9304, 13, 1283, 574, 279, 18254, 4948, 84403, 369, 8797, 37733, 279, 1176, 4376, 315, 279, 3280, 1603, 264, 13824, 349, 1481, 606, 11134, 99048, 1461, 279, 2800, 315, 279, 1648, 627, 51, 5515, 293, 12400, 1120, 662, 15574, 449, 912, 2162, 8640, 323, 11888, 54041, 304, 220, 1627, 3953, 627, 39, 944, 38322, 2231, 709, 6573, 5219, 704, 315, 279, 82755, 420, 1060, 369, 279, 47711, 11, 2133, 220, 18, 12, 15, 1418, 17437, 279, 2128, 596, 1888, 45120, 520, 220, 16, 13, 1806, 927, 220, 972, 27351, 13, 578, 1314, 2902, 8363, 1550, 539, 2187, 264, 1629, 927, 813, 1620, 8254, 27351, 320, 22, 13, 15, 6933, 8, 323, 3287, 956, 2187, 810, 1109, 832, 1629, 304, 904, 315, 813, 96727, 304, 220, 679, 16, 627, 679, 16, 3400, 3314, 8797, 37733, 423, 15817, 30900, 198, 31456, 72093, 482, 36918, 11, 220, 19, 339, 4883, 11, 220, 9263, 8244, 198, 100224, 35236, 482, 1561, 4356, 57535, 11, 220, 19, 339, 4883, 11, 220, 9413, 8244, 198, 2822, 68, 72093, 482, 10406, 11, 220, 19, 339, 17535, 11, 220, 10239, 8244, 198, 95336, 20151, 19030, 482, 33225, 9332, 11, 220, 21, 339, 4883, 11, 220, 8848, 8244, 198, 6255, 258, 507, 6, 39594, 482, 30781, 11, 220, 23, 339, 4883, 11, 220, 4146, 8244, 198, 32978, 6168, 729, 6780, 482, 10780, 5929, 39645, 11, 220, 914, 339, 4883, 11, 220, 24876, 8244, 198, 23083, 473, 1103, 8248, 482, 19461, 11, 220, 1591, 339, 4883, 11, 220, 25862, 8244, 198, 41444, 32618, 482, 36239, 11, 220, 966, 339, 4883, 11, 220, 21910, 8244, 198, 30287, 12669, 54521, 482, 17368, 11, 220, 2491, 339, 4883, 11, 220, 8929, 19, 8244 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 16323, 30558, 17043, 23435, 449, 23166, 552, 198, 14235, 5447, 753, 24208, 3782, 304, 2077, 311, 459, 9678, 69543, 4007, 44224, 555, 279, 19174, 31562, 8925, 11, 3156, 1364, 3940, 3794, 4641, 6880, 505, 1274, 889, 1051, 8173, 304, 279, 8712, 13, 15281, 810, 922, 279, 5234, 45642, 87529, 33442, 11, 433, 374, 3284, 311, 5944, 311, 1023, 34471, 1093, 1561, 4356, 4409, 323, 6457, 369, 264, 12190, 3805, 23920, 2853, 13, 56619, 311, 3243, 520, 9633, 12933, 2930, 3723, 4273, 78004, 13375, 264, 2851, 10795, 311, 1518, 1268, 1664, 4311, 7095, 1521, 25725, 5220, 11, 304, 902, 1162, 499, 4070, 6924, 220, 508, 6439, 13, 21115, 33321, 2586, 304, 2204, 71182, 323, 814, 527, 9076, 311, 502, 323, 6484, 3697, 439, 36580, 311, 5249, 279, 12109, 323, 4822, 4642, 11, 499, 1101, 1205, 311, 387, 2771, 430, 499, 656, 539, 5326, 13490, 701, 19523, 1046, 1656, 13, 8494, 1949, 281, 31918, 602, 1093, 311, 923, 85927, 311, 259, 49760, 323, 12269, 53984, 369, 21258, 11, 832, 315, 279, 1455, 3062, 2574, 430, 499, 1288, 1440, 1603, 499, 1212, 5737, 16087, 374, 430, 279, 1847, 374, 32227, 3196, 389, 6140, 13, 2684, 753, 912, 8187, 311, 636, 3940, 323, 912, 6696, 12718, 11, 477, 8774, 39380, 520, 279, 14242, 3221, 2343, 17144, 311, 1650, 304, 279, 3135, 13, 1472, 527, 2631, 311, 1514, 704, 832, 315, 279, 6859, 6206, 311, 9954, 1603, 499, 1514, 279, 1023, 11, 1268, 1790, 264, 9633, 5780, 64859, 19307, 3786, 3953, 5636, 1690, 810, 13, 220, 1041, 4, 12306, 389, 701, 1176, 16946, 627, 3947, 527, 21577, 315, 31743, 323, 10631, 2930, 25, 505, 1268, 1317, 433, 5097, 311, 8579, 44790, 459, 19151, 11, 433, 753, 892, 311, 1212, 5737, 264, 34948, 79526, 56609, 90904, 1847, 13, 9062, 2851, 374, 27023, 8254, 7563, 11, 682, 279, 1648, 1555, 311, 11112, 6908, 36027, 98767, 13, 2030, 279, 1925, 3245, 374, 499, 2019, 3451, 2688, 856, 690, 719, 270, 483, 387, 2884, 23189, 477, 3451, 2688, 856, 690, 11, 264, 58249, 281, 31918, 308, 2332, 11668, 471, 810, 44780, 4311, 527, 1101, 665, 16608, 369, 1520, 311, 3568, 449, 36033, 25725, 13, 3234, 499, 1440, 1148, 9070, 568, 753, 389, 11, 304, 1521, 24674, 3115, 13, 3161, 1778, 264, 1579, 23354, 11, 279, 4320, 1253, 539, 387, 779, 4382, 13, 1789, 4311, 505, 14990, 430, 3021, 5737, 2007, 3953, 11, 1070, 374, 912, 86205, 13, 3234, 539, 2733, 54117, 311, 1514, 49211, 11, 927, 220, 1041, 15, 13, 362, 955, 315, 26243, 1887, 902, 11, 814, 3207, 6118, 539, 10565, 449, 279, 1890, 220, 966, 3346, 3691, 2853, 430, 753, 9435, 311, 279, 2800, 315, 279, 3691, 13, 2684, 527, 1690, 7033, 29862, 430, 1274, 1005, 11, 8631, 12862, 323, 13, 1283, 5900, 555, 26952, 76, 12251, 389, 279, 39487, 315, 18059, 25907, 11, 1888, 315, 682, 13, 1226, 527, 539, 8010, 520, 420, 892, 315, 279, 5150, 5353, 315, 813, 4648, 11, 264, 2294, 1648, 311, 8895, 1063, 3217, 13, 6104, 279, 20930, 7410, 1253, 387, 43848, 11, 279, 7224, 814, 617, 6575, 389, 477, 279, 990, 814, 527, 5131, 3815, 627, 24901, 11, 264, 58249, 9633, 5780, 59616, 15013, 24076, 99590, 690, 66193, 709, 701, 1938, 449, 264, 18406, 6727, 315, 5526, 11033, 21662, 13, 3861, 1620, 3245, 499, 1288, 2980, 374, 3794, 1063, 7294, 8437, 17402, 323, 7294, 1355, 3368, 1698, 3241, 422, 499, 1541, 1431, 2736, 617, 1063, 304, 2035, 11, 66521, 13, 22938, 304, 420, 5064, 11, 272, 680, 14912, 3394, 13, 578, 955, 315, 12306, 430, 499, 1288, 1935, 14117, 1633, 1790, 389, 1268, 499, 1093, 311, 1514, 2930, 3953, 11, 323, 7446, 7172, 60874, 13, 2435, 11383, 2586, 449, 12109, 11549, 27120, 11, 597, 43783, 304, 43235, 33050, 1860, 409, 87653, 21127, 31922, 3861, 72035, 496, 1352, 1291, 1794, 3930, 13728, 85048, 64, 17053, 1651, 39705, 41600, 6634, 301, 9292, 1344, 2473, 38424, 403, 1906, 77, 1013, 12222, 70, 26498, 45970, 9292, 4491, 7997, 13, 4452, 11, 499, 1541, 1431, 617, 311, 1514, 264, 3738, 1847, 369, 4207, 311, 2867, 279, 8670, 323, 649, 15142, 701, 87449, 4661, 22571, 627, 50342, 3394, 58916, 1389, 11697, 84419, 25117, 315, 8267, 23166, 552, 198, 791, 45858, 690, 387, 3779, 220, 605, 824, 1938, 369, 220, 605, 2919, 11, 439, 499, 6118, 842, 709, 22019, 2403, 1855, 1023, 13, 13673, 281, 31918, 308, 2332, 11668, 471, 499, 649, 1101, 636, 264, 5951, 505, 3060, 2035, 311, 98475, 63501, 5951, 8216, 304, 34449, 12825, 2192, 11, 13944, 21115, 1903, 757, 8010, 315, 1063, 3361, 6209, 430, 1051, 2561, 13, 3296, 33577, 23139, 22620, 11, 12283, 1053, 1205, 311, 2216, 617, 279, 23099, 311, 1935, 264, 30031, 389, 1603, 814, 3240, 17843, 872, 6105, 1148, 814, 78495, 374, 1314, 9002, 279, 55867, 13, 5112, 994, 279, 24073, 892, 369, 279, 16520, 374, 927, 279, 4311, 527, 21682, 4184, 311, 1268, 1790, 814, 1047, 2834, 323, 1243, 279, 22643, 7463, 374, 18255, 24059, 1124, 28178, 11, 279, 2326, 18355, 12109, 323, 2930, 25725, 2626, 4822, 36301, 13, 23674, 11, 323, 4311, 1288, 58389, 279, 37064, 13, 578, 1121, 25, 1403, 9863, 315, 13354, 11096, 555, 264, 27494, 11, 2737, 6883, 502, 16087, 13, 1115, 304, 2543, 690, 9504, 1690, 502, 6444, 11, 3974, 12109, 3953, 323, 26128, 79, 2469, 13, 37866, 13782, 497, 25310, 323, 4228, 311, 1005, 11, 1618, 527, 264, 5743, 315, 7718, 18726, 311, 7945, 499, 704, 13, 25640, 527, 1949, 311, 3729, 1124, 520, 904, 1486, 311, 2867, 904, 4819, 477, 10742, 11, 6617, 78124, 706, 28995, 1139, 5361, 27339, 13, 2435, 7108, 279, 4459, 7187, 21676, 3734, 91494, 445, 4091, 323, 432, 5676, 921, 24155, 11, 449, 1855, 29101, 753, 25725, 7016, 58499, 1268, 279, 1847, 374, 6476, 13, 11361, 369, 11821, 1521, 7185, 6763, 12823, 11, 682, 16211, 12850, 527, 13126, 49806, 287, 279, 4553, 3217, 315, 6505, 35843, 555, 10209, 264, 1664, 12, 19680, 4147, 3997, 477, 917, 627, 40, 2751, 420, 2816, 505, 856, 37772, 889, 16369, 757, 18815, 420, 3566, 2816, 323, 520, 279, 4545, 420, 892, 11, 477, 1120, 6206, 323, 7693, 13, 60713, 12798, 281, 31918, 602, 1781, 568, 1120, 9670, 709, 3815, 2574, 430, 7263, 6666, 8800, 1461, 11, 814, 3629, 3493, 48761, 3135, 13, 1226, 11007, 11, 814, 636, 264, 1486, 13, 1628, 430, 374, 3249, 584, 617, 1690, 11728, 26747, 5889, 34471, 304, 1561, 17340, 11, 439, 1664, 439, 264, 21186, 11591, 32539, 311, 1520, 6179, 872, 6444, 13, 578, 1847, 315, 49211, 6276, 499, 311, 1304, 264, 1396, 315, 2204, 4871, 43177, 11, 1935, 264, 2478, 5066, 4520, 311, 6678, 11226, 477, 9909, 311, 636, 23917, 6962, 13, 18729, 33762, 374, 19698, 311, 3719, 832, 315, 279, 1455, 3062, 8661, 7512, 11, 264, 220, 20, 87, 1514, 20322, 56443, 287, 16686, 374, 2731, 430, 264, 220, 605, 87, 627, 791, 3300, 52668, 3953, 16850, 18088, 15369, 11, 433, 374, 5042, 4691, 311, 3041, 279, 13890, 304, 8515, 323, 433, 374, 682, 13, 578, 1176, 6638, 374, 2663, 279, 15936, 4470, 15028, 11, 48916, 3838, 9633, 5780, 1071, 19881, 3376, 45568, 35162, 13, 28757, 505, 2380, 47561, 552, 389, 279, 11230, 1584, 11, 264, 18367, 369, 279, 22108, 3314, 10289, 13, 1102, 1436, 387, 810, 11, 2162, 12109, 3953, 19579, 28672, 701, 19289, 389, 264, 12035, 15435, 13, 7462, 300, 403, 753, 7363, 7665, 323, 14875, 6130, 2385, 323, 3834, 527, 264, 4832, 5052, 449, 13315, 3594, 753, 6650, 8446, 11, 9523, 311, 279, 28443, 370, 15954, 1847, 753, 23205, 21448, 2403, 389, 279, 311, 32539, 69428, 13, 5492, 12109, 3953, 922, 52747, 617, 20276, 264, 3477, 430, 374, 8967, 311, 6106, 430, 1524, 422, 499, 656, 10491, 311, 3820, 264, 1847, 315, 6140, 11, 499, 2834, 1431, 387, 304, 2585, 315, 701, 1866, 2324, 627, 20171, 23166, 552, 323, 32416, 11871, 369, 8494, 304, 220, 2366, 16, 198, 11180, 16087, 281, 31918, 912, 4232, 3544, 69428, 323, 47729, 21845, 304, 9633, 3953, 11, 1766, 26701, 527, 2744, 5439, 13, 7566, 11, 15184, 52821, 6529, 506, 10784, 355, 2116, 82120, 268, 13, 29622, 66692, 12109, 35382, 2082, 8065, 18742, 1880, 3869, 84921, 1744, 9189, 28068, 10333, 11, 31335, 13, 1472, 1288, 17257, 994, 499, 3207, 8469, 11, 323, 9604, 13, 21115, 912, 16946, 8352, 433, 374, 264, 6220, 1648, 315, 5737, 2533, 499, 1541, 1431, 5326, 701, 6201, 1119, 439, 499, 1456, 704, 264, 4040, 1847, 11, 7296, 3966, 311, 387, 264, 1948, 10844, 369, 279, 34471, 13, 7252, 21448, 389, 3738, 11987, 369, 20210, 9130, 9141, 11, 1514, 16087, 369, 1972, 3300, 2930, 539, 1120, 994, 814, 37859, 13, 3216, 311, 420, 1486, 11, 1514, 16087, 369, 1972, 3300, 2930, 719, 1101, 304, 279, 1690, 4038, 311, 2586, 13, 21115, 912, 16946, 8352, 520, 904, 892, 499, 649, 7431, 279, 3072, 1578, 304, 701, 8785, 3857, 863, 2476, 43063, 33127, 93361, 278, 1767, 1199, 57633, 863, 2675, 617, 2500, 30836, 15639, 11, 279, 2851, 3217, 994, 5737, 7199, 18261, 8519, 53448, 627, 5451, 29145, 32671, 20237, 1847, 11, 12656, 8270, 1101, 21845, 4311, 449, 1391, 3585, 13, 2057, 1520, 499, 704, 11, 568, 27741, 264, 15638, 1990, 37099, 323, 21481, 5605, 15369, 374, 264, 8331, 430, 374, 6532, 304, 1475, 10775, 13, 17331, 1077, 5039, 45563, 706, 1101, 6982, 1077, 7982, 3070, 719, 1268, 1690, 2911, 1587, 45563, 617, 11, 58362, 6913, 8446, 44332, 584, 3041, 499, 4330, 315, 279, 1888, 3953, 311, 4048, 1418, 499, 3207, 389, 71489, 13, 3005, 31737, 430, 1364, 3250, 1431, 11, 719, 11060, 5889, 3250, 1431, 2187, 86304, 13, 25122, 1694, 264, 78320, 13693, 856, 22128, 38499, 11, 420, 1934, 2643, 1520, 499, 7216, 704, 3508, 499, 3207, 304, 279, 4832, 29960, 13, 3092, 5915, 449, 430, 574, 311, 1518, 1268, 279, 67988, 21682, 5694, 19579, 3345, 4885, 11, 1518, 502, 4519, 627, 43363, 12109, 1949, 45858, 2085, 16946, 220, 2366, 16, 499, 636, 311, 4822, 520, 2162, 323, 1514, 520, 701, 1866, 19679, 11, 80604, 374, 279, 1455, 5526, 12109, 1847, 323, 279, 2944, 369, 420, 374, 430, 13, 763, 5369, 311, 420, 11, 304, 430, 4676, 18067, 17323, 527, 6992, 13, 8425, 1187, 281, 31918, 72908, 264, 12414, 305, 4091, 311, 701, 7147, 5825, 279, 4832, 7858, 369, 11012, 11, 29935, 220, 22, 8267, 21115, 374, 6724, 23583, 323, 374, 264, 16383, 25725, 2816, 1555, 32380, 53049, 3109, 13, 1472, 4805, 1101, 636, 2678, 16520, 11460, 11, 4400, 374, 39532, 30931, 477, 22798, 13, 10311, 2930, 16087, 4774, 1202, 17496, 323, 9178, 33321, 11, 8994, 682, 279, 2204, 9863, 1511, 369, 420, 4040, 1847, 13, 1115, 12992, 701, 17393, 315, 11230, 832, 315, 279, 26128, 79, 2469, 11, 60080, 706, 8774, 264, 64062, 15601, 389, 279, 29407, 1109, 279, 586, 15393, 13, 1472, 649, 1514, 4528, 21481, 1847, 27103, 1093, 88614, 93571, 38668, 323, 35374, 7814, 38668, 520, 279, 2768, 1948, 55985, 3974, 24204, 2930, 34471, 11, 24858, 12109, 1949, 45858, 2085, 16946, 220, 2366, 16, 505, 3682, 19092, 11429, 311, 9099, 6566, 7868, 627, 52747, 315, 37749, 220, 15831, 1389, 21115, 23166, 552, 449, 49667, 58600, 6342, 198, 2028, 9633, 374, 264, 220, 20, 5621, 301, 9633, 430, 374, 1790, 810, 17551, 1203, 1109, 27987, 21275, 11, 264, 11326, 323, 264, 19114, 13, 3658, 2930, 9633, 5780, 12109, 3953, 433, 753, 1120, 3347, 220, 605, 264, 749, 11, 439, 264, 4846, 12360, 13, 32416, 5780, 938, 35322, 37169, 1514, 369, 1949, 2085, 12506, 3131, 389, 279, 8682, 19074, 6642, 33256, 374, 24174, 11, 358, 13, 763, 471, 369, 701, 27219, 19289, 499, 636, 311, 1514, 264, 5128, 5410, 1847, 11, 1949, 2930, 9633, 5780, 12109, 3953, 279, 49179, 315, 279, 1176, 13, 15636, 11, 2930, 15744, 13, 29257, 87449, 520, 279, 2930, 12109, 279, 1890, 11, 6724, 22939, 6807, 6108, 11667, 369, 12096, 323, 11380, 2930, 627, 10438, 6041, 311, 1514, 11, 502, 16211, 13, 4656, 2690, 44332, 5718, 1268, 311, 1514, 369, 2937, 11, 5222, 47609, 323, 13077, 690, 1520, 311, 1893, 810, 4754, 11761, 304, 3938, 13, 1789, 15648, 88, 3663, 11, 9148, 1030, 2439, 51688, 304, 477, 2212, 701, 2162, 1253, 387, 19054, 3995, 13, 2684, 527, 5131, 927, 1630, 6505, 3953, 430, 499, 649, 1514, 449, 603, 389, 701, 15236, 6505, 3756, 315, 5873, 11, 4668, 20181, 315, 2294, 4519, 323, 2671, 13, 2030, 1550, 499, 1440, 430, 279, 15774, 38493, 5475, 25283, 499, 311, 1934, 682, 315, 1884, 87449, 389, 701, 3827, 471, 11 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 23956, 5603, 1288, 499, 1005, 11, 1148, 690, 3719, 701, 3446, 30, 1115, 690, 6904, 389, 701, 15813, 315, 279, 5133, 323, 499, 13, 4452, 11, 358, 1053, 7079, 499, 311, 4059, 3725, 7417, 304, 1475, 11008, 13, 29757, 685, 701, 5845, 311, 29243, 449, 1023, 1274, 11, 1418, 15884, 34662, 287, 701, 5133, 389, 701, 1866, 13, 4761, 13570, 6261, 40069, 449, 912, 19971, 13, 5560, 1475, 11008, 439, 264, 6975, 3217, 499, 2225, 4048, 311, 22712, 449, 1855, 1023, 304, 264, 9498, 11827, 11, 477, 3156, 433, 10548, 13, 4557, 11, 912, 11, 3495, 279, 1877, 5029, 14254, 6946, 389, 21116, 97707, 596, 5569, 3744, 17244, 311, 7945, 499, 659, 12, 8720, 1268, 5052, 499, 527, 11, 323, 311, 1520, 499, 1304, 9096, 449, 279, 2144, 430, 701, 53730, 2930, 5029, 1436, 387, 88804, 627, 89685, 304, 4059, 11, 499, 1541, 956, 1390, 311, 842, 709, 1093, 279, 28701, 1023, 7752, 889, 656, 539, 1440, 279, 1, 5718, 315, 279, 1847, 1, 323, 1120, 28182, 3278, 704, 389, 5690, 13, 1472, 1541, 956, 6562, 311, 387, 279, 7564, 889, 46762, 433, 369, 16470, 775, 323, 3727, 7724, 2543, 872, 12625, 19882, 389, 1, 879, 13, 330, 5659, 279, 13326, 1917, 315, 5690, 11, 6666, 45395, 527, 2875, 13, 1472, 690, 6118, 1193, 636, 832, 6140, 311, 656, 2574, 1314, 627, 36, 15959, 40745, 35011, 12, 1050, 8017, 1077, 78076, 449, 701, 1866, 2547, 4221, 12, 482, 323, 2231, 1461, 304, 813, 2035, 719, 1541, 956, 4465, 477, 1304, 1077, 83372, 1442, 2500, 893, 3727, 264, 1522, 13, 12839, 279, 1584, 1990, 20806, 1461, 1440, 568, 596, 704, 315, 1584, 4856, 1109, 15718, 1093, 264, 41690, 11640, 11671, 627, 14364, 3062, 2930, 5029, 1984, 94305, 7462, 22464, 68, 33654, 922, 279, 38307, 6566, 374, 430, 1070, 374, 264, 2294, 1205, 369, 31687, 6957, 420, 4261, 13, 1666, 499, 10570, 6957, 279, 25549, 1920, 11, 499, 690, 4762, 3217, 459, 7319, 1205, 311, 387, 24891, 13, 19898, 706, 21730, 29600, 13, 40730, 389, 279, 7976, 37772, 80413, 7462, 22464, 68, 323, 71540, 315, 701, 5133, 11, 499, 4036, 7106, 31687, 389, 701, 11103, 13, 4800, 430, 31687, 374, 539, 1070, 1690, 1274, 1053, 4879, 311, 3449, 872, 16686, 369, 7462, 22464, 68, 14469, 449, 1877, 11, 539, 44114, 1070, 374, 264, 6811, 1990, 31687, 323, 7392, 31687, 13, 10541, 279, 1403, 527, 11622, 2204, 11, 499, 649, 11886, 1790, 315, 701, 1205, 369, 7392, 3729, 555, 19546, 279, 7106, 31687, 430, 499, 1205, 304, 2536, 44687, 5627, 7, 1778, 439, 80342, 11, 64279, 11, 10168, 6206, 11, 11689, 6916, 304, 6916, 8, 16853, 16366, 659, 12, 93727, 503, 388, 727, 3363, 574, 7462, 22464, 68, 14469, 1268, 311, 1505, 2254, 58695, 18855, 505, 2225, 11314, 13, 1952, 279, 18791, 3185, 11, 813, 9045, 311, 2744, 1505, 704, 279, 1, 1314, 3245, 1, 311, 2019, 1207, 444, 71888, 49680, 813, 6332, 74935, 430, 568, 574, 539, 2294, 3403, 439, 568, 1047, 1027, 13, 1952, 279, 1023, 1450, 11, 279, 8389, 14847, 568, 4036, 505, 7724, 1606, 568, 574, 20025, 14624, 311, 1124, 49680, 813, 7, 37104, 8, 23035, 430, 3278, 8434, 956, 387, 15107, 311, 1461, 15851, 315, 1148, 568, 1550, 627, 3513, 46878, 13, 1442, 499, 527, 304, 264, 586, 2035, 433, 374, 10619, 311, 20461, 1405, 433, 574, 4529, 13, 2030, 422, 499, 527, 520, 2254, 4106, 58695, 7462, 22464, 68, 323, 1063, 66352, 4668, 1053, 387, 304, 279, 7397, 12, 482, 1093, 422, 9514, 2351, 704, 304, 701, 20085, 477, 389, 701, 1866, 44952, 323, 1070, 596, 264, 2478, 66352, 6070, 477, 7180, 304, 279, 6685, 11, 433, 1253, 387, 1888, 311, 1935, 264, 10512, 449, 420, 38350, 304, 1684, 627, 1, 1115, 374, 12756, 26225, 13, 1472, 7263, 420, 389, 6261, 13, 21829, 433, 13, 330, 1666, 568, 45135, 520, 757, 11, 568, 36065, 14297, 13, 578, 2144, 315, 279, 6671, 6137, 311, 856, 10003, 7976, 37772, 304, 323, 358, 6612, 856, 6548, 1664, 287, 709, 13, 358, 3287, 956, 1390, 311, 3240, 31299, 304, 279, 4219, 315, 279, 10960, 13, 13596, 52860, 1047, 17454, 3403, 315, 264, 1501, 505, 757, 2736, 627, 2675, 1541, 956, 1205, 311, 733, 13088, 719, 499, 1288, 1935, 279, 892, 311, 1304, 2771, 499, 3077, 2751, 9364, 430, 527, 2867, 323, 430, 499, 2231, 1063, 5149, 1139, 3411, 3118, 481, 13, 362, 15326, 6945, 66208, 9459, 279, 16801, 430, 9514, 2351, 459, 709, 10276, 893, 323, 15851, 315, 1148, 499, 3077, 1027, 3309, 922, 3958, 13305, 11, 5099, 13, 1174, 520, 279, 3345, 315, 279, 11714, 264, 3828, 374, 810, 4461, 311, 32918, 459, 709, 10276, 893, 430, 1364, 13919, 649, 8312, 369, 1077, 49043, 264, 8009, 8334, 477, 4528, 893, 627, 2675, 11913, 279, 2254, 15246, 3566, 58695, 7462, 22464, 68, 315, 279, 57536, 439, 311, 1268, 814, 9616, 311, 459, 10728, 13, 362, 5679, 1501, 12716, 704, 279, 18845, 304, 603, 311, 1522, 19971, 13, 2100, 3432, 11, 1694, 279, 11913, 11, 902, 374, 24559, 1148, 499, 3719, 994, 3411, 369, 2457, 6392, 11, 499, 7598, 1139, 279, 1567, 323, 2035, 6261, 13, 2100, 1095, 603, 2231, 3871, 832, 11714, 13, 1472, 2011, 1404, 709, 7931, 369, 459, 3564, 91128, 3719, 63682, 7462, 22464, 68, 14469, 596, 832, 12, 1180, 61808, 13, 3298, 1093, 264, 25146, 7690, 13, 63039, 408, 311, 1304, 31342, 922, 279, 4367, 315, 264, 2457, 596, 5845, 369, 28286, 304, 264, 15266, 430, 706, 311, 3060, 1304, 433, 733, 29320, 323, 16470, 733, 2162, 323, 16106, 47370, 305, 2689, 323, 2019, 1, 430, 574, 279, 12047, 1514, 358, 617, 3596, 1027, 311, 13, 330, 39768, 420, 304, 4059, 11, 1243, 11, 10368, 701, 19971, 7512, 13, 21834, 1203, 389, 682, 315, 279, 12707, 5039, 499, 617, 3596, 15746, 704, 315, 73153, 13, 2468, 1148, 499, 5602, 11, 499, 1253, 617, 4224, 5327, 291, 13, 763, 420, 1917, 1606, 499, 1664, 1440, 11, 1070, 6866, 264, 4040, 7463, 315, 7931, 449, 279, 11005, 311, 11203, 499, 1203, 1139, 35717, 12, 709, 43214, 13, 10926, 499, 304, 279, 1567, 430, 499, 1436, 1505, 264, 3927, 11, 1053, 1781, 430, 33944, 18841, 574, 14733, 294, 10279, 323, 1053, 1093, 311, 387, 3515, 459, 2457, 627, 87115, 750, 11, 499, 690, 1205, 311, 1505, 704, 1268, 311, 617, 279, 8475, 2547, 4221, 26, 4510, 433, 477, 539, 701, 2547, 649, 3041, 3958, 477, 3201, 7462, 22464, 68, 38920, 7976, 37772, 16024, 311, 264, 1732, 13, 4702, 1268, 374, 420, 30, 1789, 3187, 11, 422, 499, 1781, 315, 18570, 1694, 44040, 477, 18290, 11, 279, 2926, 3245, 430, 690, 4747, 701, 4059, 374, 4423, 449, 872, 11977, 323, 1101, 6206, 77832, 2212, 1093, 814, 1047, 28211, 311, 733, 11, 11509, 304, 264, 9309, 449, 872, 14971, 264, 2697, 5882, 287, 1523, 439, 422, 279, 3927, 656, 539, 12876, 872, 3663, 311, 387, 3970, 13, 1442, 499, 617, 3604, 12457, 420, 2217, 304, 701, 2010, 11, 499, 527, 1455, 4461, 311, 387, 17339, 5403, 2547, 7351, 13, 3011, 374, 1268, 2547, 7351, 4375, 13, 4718, 2547, 649, 1450, 704, 279, 47811, 315, 1694, 27207, 477, 11920, 1418, 9514, 2351, 11509, 304, 7462, 22464, 68, 33654, 32847, 369, 16736, 1877, 315, 1124, 13, 20474, 701, 2547, 374, 701, 6573, 16665, 439, 1664, 439, 422, 430, 6070, 6206, 704, 11, 279, 27410, 690, 7995, 1833, 323, 1101, 279, 1193, 3245, 86387, 499, 2559, 7462, 22464, 68, 33654, 7995, 387, 701, 14535, 1418, 814, 2351, 4401, 3201, 311, 1935, 701, 16984, 323, 2854, 54873, 2254, 3254, 58695, 7462, 22464, 68, 704, 315, 279, 6671, 627, 791, 1633, 1176, 7462, 22464, 68, 578, 2926, 8071, 3729, 374, 1521, 14269, 994, 15687, 917, 19223, 1855, 1023, 13, 2468, 279, 4545, 11, 279, 3938, 389, 14454, 279, 21455, 25, 32134, 25, 20426, 264, 2926, 14956, 11, 499, 1541, 956, 1205, 311, 1781, 922, 1120, 1268, 1695, 7216, 323, 701, 7013, 690, 387, 13, 3234, 539, 11196, 922, 422, 499, 13353, 7462, 22464, 68, 14469, 477, 527, 1529, 41913, 13, 2468, 420, 4545, 11, 499, 649, 37455, 389, 279, 3927, 26, 2980, 813, 10512, 369, 439, 1317, 323, 439, 15884, 439, 499, 1397, 433, 627, 3947, 574, 264, 892, 11, 304, 279, 4216, 2919, 315, 279, 7757, 11, 439, 433, 1053, 617, 1027, 28093, 346, 43672, 311, 2980, 5029, 264, 1732, 430, 499, 2322, 2930, 13, 1102, 7111, 1093, 264, 14599, 7434, 311, 387, 304, 264, 5133, 449, 264, 35058, 13, 2684, 574, 539, 904, 1648, 311, 1440, 3508, 279, 1732, 3309, 279, 8206, 12, 482, 477, 264, 4101, 315, 15812, 311, 499, 627, 2460, 21730, 12302, 449, 25917, 11, 26586, 11, 323, 78570, 13, 43633, 499, 527, 1972, 4856, 499, 55200, 6261, 315, 279, 8631, 315, 4560, 311, 35840, 477, 10240, 323, 1884, 19857, 16024, 627, 2675, 649, 3060, 3708, 1124, 7462, 22464, 68, 14469, 2254, 12502, 58695, 810, 2204, 1984, 11, 422, 499, 1541, 956, 636, 1203, 264, 1984, 2949, 264, 2046, 477, 499, 649, 10570, 13, 4418, 956, 86562, 1124, 449, 6743, 13, 7570, 3582, 1070, 596, 264, 13336, 814, 13942, 477, 12305, 701, 1176, 1984, 11, 656, 539, 4585, 433, 627, 10267, 1303, 279, 21847, 733, 1436, 387, 17235, 32015, 3189, 9162, 994, 499, 527, 85161, 555, 279, 1732, 11, 323, 4330, 6622, 649, 2733, 1093, 4330, 4520, 13, 1472, 2643, 387, 16984, 279, 1023, 1732, 690, 636, 34386, 477, 2733, 29859, 323, 2646, 1390, 311, 3136, 279, 10652, 13, 763, 2144, 11, 1418, 814, 690, 7995, 2733, 810, 24408, 505, 279, 21847, 11, 279, 12047, 3245, 499, 649, 656, 374, 20461, 430, 433, 374, 2288, 1790, 369, 499, 555, 2160, 73910, 1203, 8800, 701, 2010, 477, 12365, 13, 5031, 485, 6261, 430, 433, 596, 539, 701, 12014, 13, 23588, 3634, 369, 682, 1884, 23418, 16024, 323, 11142, 1124, 11, 323, 1427, 520, 1077, 11, 6724, 10882, 304, 279, 21847, 449, 264, 8430, 315, 11, 330, 358, 649, 956, 2980, 4205, 311, 2019, 13, 358, 1093, 7556, 449, 499, 16102, 13, 1442, 1364, 2795, 11, 330, 1148, 30, 330, 2057, 6859, 279, 24408, 499, 1436, 6013, 449, 1063, 23851, 315, 1521, 16024, 13, 763, 279, 1567, 430, 499, 3077, 1027, 304, 26306, 449, 1077, 16024, 709, 369, 420, 6566, 36734, 1364, 4585, 279, 21976, 4741, 13, 1442, 1364, 3250, 956, 11, 433, 8741, 11, 912, 2466, 3568, 11, 323, 433, 596, 892, 311, 1212, 6381, 279, 16628, 323, 13126, 51297, 279, 8369, 47555, 627, 2028, 690, 1520, 499, 1518, 430, 8996, 21845, 499, 4510, 499, 527, 3794, 527, 539, 3403, 323, 433, 690, 5376, 701, 6784, 323, 30229, 13, 1472, 2643, 387, 72364, 3403, 311, 2019, 1, 22733, 420, 1, 323, 1304, 279, 7940, 9017, 279, 36865, 430, 499, 527, 8173, 304, 1694, 389, 627, 791, 2944, 374, 5042, 1606, 3026, 323, 3278, 889, 1440, 1855, 1023, 1633, 1664, 1180, 304, 264, 2254, 58695, 13, 3296, 39474, 430, 374, 15061, 11, 499, 2351, 73967, 430, 499, 1403, 617, 627, 6153, 4102, 11, 358, 4265, 3335, 430, 2316, 1234, 279, 2316, 315, 1, 9029, 358, 14998, 311, 20474, 11, 330, 304, 279, 8554, 3857, 315, 856, 6505, 4641, 449, 264, 10015, 4096, 315, 1405, 358, 41834, 1124, 11, 323, 904, 8365, 430, 1436, 1520, 10765, 1124, 994, 358, 7111, 1203, 27905, 13, 5810, 358, 1053, 2997, 1274, 13, 1115, 6688, 757, 264, 3813, 311, 8720, 279, 342, 2629, 18, 63682, 7462, 22464, 68, 33654, 358, 2322, 627, 33, 762, 18238, 279, 6617, 8451, 1505, 2254, 63682, 7462, 22464, 68, 14469, 374, 682, 922, 1701, 1124, 3871, 311, 1935, 701, 40543, 323, 5603, 311, 2324, 311, 502, 36394, 323, 1652, 10892, 1113, 264, 3552, 315, 25022, 13, 578, 25679, 1618, 1288, 387, 389, 1855, 3927, 1652, 10892, 988, 449, 5127, 1694, 1314, 11, 311, 43656, 323, 872, 2373, 315, 264, 19225, 8451, 893, 627, 32576, 433, 574, 279, 30305, 82, 2930, 5029, 11246, 18206, 11, 8530, 433, 574, 279, 14254, 315, 856, 4827, 36517, 96234, 2403, 1077, 628, 1538, 69801, 11, 7344, 433, 574, 279, 14254, 315, 1521, 11191, 30682, 289, 677, 9894, 709, 323, 1523, 439, 279, 4732, 315, 856, 2875, 53572, 7319, 11, 11000, 433, 574, 1120, 892, 11, 719, 2403, 682, 315, 279, 21448, 315, 5108, 779, 5246, 11, 358, 1436, 8659, 2733, 856, 1866, 38765, 4857, 13, 2468, 7041, 279, 4839, 1890, 892, 11, 1364, 15753, 45054, 323, 704, 4102, 323, 17004, 315, 7462, 22464, 68, 52104, 93727, 122807 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 17827, 555, 32171, 9346, 64, 23272, 385, 285, 389, 6740, 11, 220, 868, 339, 7552, 220, 679, 18, 198, 791, 36256, 2978, 358, 18677, 439, 264, 2697, 3828, 374, 7559, 6089, 4028, 279, 8761, 505, 856, 20587, 2162, 13, 358, 6222, 449, 499, 13985, 430, 5127, 304, 279, 40442, 7020, 994, 856, 6691, 574, 3339, 16385, 1606, 279, 55279, 28883, 34632, 13, 358, 649, 6227, 11961, 304, 856, 24978, 323, 34168, 279, 1176, 20043, 15329, 421, 3168, 13, 578, 95685, 4954, 55279, 2744, 1903, 757, 3276, 23707, 323, 358, 649, 6227, 37874, 520, 279, 2978, 29519, 323, 77674, 311, 7182, 11, 10264, 11, 10264, 11, 10264, 0, 358, 1436, 20781, 3868, 311, 99345, 389, 279, 842, 16363, 449, 264, 568, 14550, 10695, 315, 18878, 6985, 13, 39520, 323, 50999, 41778, 16385, 374, 264, 2489, 1903, 304, 23070, 323, 1521, 426, 10599, 1557, 3869, 350, 90276, 12366, 72, 15564, 8065, 921, 4650, 266, 527, 9615, 86929, 627, 35078, 449, 41580, 1511, 311, 7317, 1463, 757, 719, 279, 810, 358, 990, 449, 433, 279, 810, 10882, 358, 3719, 13, 358, 1903, 264, 24219, 5873, 311, 743, 16038, 856, 2559, 38878, 369, 264, 1418, 323, 10772, 279, 31452, 555, 1450, 1606, 358, 6288, 9687, 1148, 311, 1427, 369, 323, 1268, 279, 31452, 1288, 2733, 520, 279, 2204, 18094, 627, 2170, 358, 9932, 13985, 11, 293, 10599, 1557, 31452, 374, 779, 33045, 323, 11, 358, 4344, 12304, 311, 1212, 1701, 279, 45773, 2418, 753, 426, 10599, 1557, 369, 11427, 414, 88, 47979, 13, 41974, 433, 753, 5115, 5526, 369, 1054, 268, 14425, 30872, 668, 863, 320, 96420, 20037, 304, 74155, 31452, 323, 1243, 41778, 570, 3861, 315, 856, 19214, 1054, 268, 14425, 30872, 668, 863, 26863, 374, 64225, 57104, 719, 358, 4070, 1193, 3596, 1511, 63172, 74155, 11, 358, 4344, 3411, 4741, 311, 20646, 433, 449, 420, 955, 315, 293, 10599, 1557, 627, 44297, 393, 64272, 285, 20473, 1005, 279, 5190, 8834, 11595, 293, 10599, 1557, 311, 1304, 28682, 4447, 477, 45915, 31452, 13, 358, 1097, 2133, 311, 4879, 311, 2231, 420, 31452, 3871, 11, 358, 4344, 539, 2771, 1268, 6992, 358, 690, 387, 1606, 433, 690, 387, 5107, 311, 990, 304, 279, 3544, 3392, 315, 8834, 555, 1450, 719, 433, 1053, 387, 264, 11364, 10778, 311, 98446, 435, 1119, 64, 477, 1344, 29200, 4447, 31452, 13, 358, 1781, 369, 279, 3392, 315, 990, 6532, 358, 1053, 4762, 3665, 433, 369, 3361, 25975, 627, 2675, 4805, 5406, 430, 358, 3287, 1431, 11322, 279, 1890, 6453, 21411, 28362, 389, 279, 40712, 7863, 311, 279, 14733, 426, 10599, 1557, 3869, 350, 90276, 358, 6222, 13985, 13, 358, 4070, 2646, 2728, 19151, 11623, 1790, 3463, 3156, 1457, 13, 358, 32620, 4510, 430, 1054, 906, 8343, 449, 1057, 6548, 1176, 863, 323, 19151, 11623, 649, 1304, 3347, 4108, 11, 61777, 11, 16385, 82, 5099, 13, 1427, 810, 33352, 13, 42313, 11623, 1101, 57877, 304, 47697, 323, 11621, 10651, 627, 7131, 499, 1440, 430, 499, 1288, 923, 12290, 311, 19151, 11623, 323, 433, 1288, 387, 10235, 279, 1938, 1603, 1701, 30, 28138, 270, 1354, 704, 279, 19151, 11623, 1606, 19151, 28896, 527, 21277, 1534, 555, 279, 12290, 323, 527, 912, 5129, 29123, 311, 832, 2500, 719, 433, 1587, 1935, 1063, 892, 369, 420, 311, 3621, 16472, 279, 2944, 369, 20646, 304, 12178, 627, 1016, 20353, 704, 279, 19151, 11623, 3727, 433, 8831, 311, 3881, 264, 15792, 41394, 323, 433, 6835, 279, 41778, 1695, 264, 6721, 6381, 13, 3277, 19486, 19151, 11623, 433, 753, 3062, 430, 433, 1587, 539, 7463, 389, 279, 74155, 477, 2212, 279, 2385, 315, 279, 74155, 11, 358, 1781, 15792, 1251, 704, 279, 19151, 11623, 690, 1520, 449, 420, 3465, 72423, 627, 4599, 499, 3207, 20646, 19151, 11623, 11, 2567, 279, 2768, 304, 4059, 11, 19151, 94582, 2857, 5825, 1455, 315, 279, 33505, 323, 12745, 11, 19151, 22632, 3493, 10651, 320, 5192, 285, 3368, 11, 1344, 29200, 8, 323, 649, 1101, 83608, 279, 12745, 11, 12290, 11621, 264, 5916, 315, 47697, 719, 433, 374, 14918, 1511, 311, 15792, 704, 279, 19151, 11623, 11, 14403, 477, 12932, 11621, 12745, 323, 11, 13465, 5825, 264, 2766, 315, 64550, 719, 649, 1101, 923, 12745, 13, 1628, 11, 994, 20646, 279, 19151, 11623, 11, 1304, 2771, 279, 19335, 527, 31394, 1664, 627, 8142, 358, 574, 45243, 19151, 11623, 358, 9687, 264, 11190, 11813, 369, 20646, 41778, 11822, 430, 4498, 304, 279, 650, 3675, 2201, 12329, 648, 3070, 13, 362, 15792, 6324, 315, 19151, 11623, 1288, 387, 9435, 1306, 46620, 304, 18459, 369, 279, 1620, 10205, 323, 1243, 2500, 15792, 6324, 1288, 387, 9435, 1120, 4972, 311, 28915, 13, 42313, 28786, 11157, 26420, 1524, 12745, 367, 719, 1101, 29034, 264, 6930, 505, 30164, 389, 279, 74155, 627, 40, 4070, 14000, 1455, 19141, 369, 650, 3675, 2201, 12329, 648, 1193, 1650, 369, 19151, 28786, 279, 3347, 4108, 1306, 46620, 13, 358, 4070, 2744, 19151, 38593, 1120, 1603, 28915, 13, 358, 4344, 2133, 311, 1304, 459, 25329, 719, 358, 4510, 279, 2944, 369, 420, 374, 1606, 422, 2512, 374, 539, 62113, 994, 19486, 279, 19151, 11623, 1306, 279, 1620, 11311, 279, 31452, 1436, 93789, 13, 358, 1053, 7079, 1701, 264, 8579, 1437, 29400, 15998, 323, 30373, 77826, 994, 19486, 279, 2132, 23724, 1606, 499, 1436, 1101, 5674, 279, 36301, 3347, 4108, 627, 24798, 856, 11879, 1139, 43849, 3339, 358, 4070, 9687, 430, 279, 2697, 3649, 527, 779, 3062, 13, 358, 3987, 1063, 315, 279, 10631, 358, 4070, 6222, 369, 20646, 426, 10599, 1557, 90395, 323, 46620, 426, 10599, 1557, 3869, 350, 90276, 690, 1520, 499, 304, 279, 9979, 13, 1442, 499, 617, 904, 4860, 11, 4587, 2610, 304, 279, 6170, 11, 358, 10788, 279, 16628, 627, 33, 10599, 1557, 3869, 350, 37093, 12366, 72, 15564, 8065, 921, 4650, 266, 30653, 14136, 426, 10599, 1557, 70710, 198, 12, 426, 10599, 1557, 90395, 26371, 198, 12, 426, 10599, 1557, 3869, 350, 37093, 12366, 72, 15564, 8065, 921, 4650, 266, 30653, 14136, 426, 10599, 1557, 70710, 198, 2520, 279, 426, 10599, 1557, 3869, 350, 37093, 12366, 72, 15564, 8065, 921, 4650, 266, 11, 358, 10235, 279, 31452, 2768, 279, 12673, 426, 10599, 1557, 90395, 11363, 719, 4619, 315, 1701, 832, 7895, 3346, 16385, 20415, 11, 358, 1511, 264, 10824, 315, 16385, 20415, 323, 14733, 320, 543, 59338, 8, 20415, 13, 10541, 2225, 527, 18406, 11, 358, 15236, 279, 10651, 315, 279, 31452, 10235, 449, 832, 7895, 3346, 16385, 20415, 13, 358, 33147, 499, 311, 1456, 2225, 323, 1518, 902, 499, 10932, 627, 33, 10599, 1557, 3869, 350, 37093, 12366, 72, 15564, 8065, 921, 4650, 266, 30653, 14136, 426, 10599, 1557, 70710, 198, 51377, 358, 6222, 264, 11364, 15105, 369, 46620, 426, 10599, 1557, 3869, 350, 37093, 26907, 279, 15105, 649, 1431, 387, 1511, 304, 279, 18459, 315, 1521, 293, 10599, 1557, 28473, 1606, 814, 527, 10409, 449, 18414, 627, 9673, 293, 10599, 1557, 28473, 649, 1101, 387, 10409, 449, 20673, 477, 1922, 1764, 3347, 48738, 2473, 320, 331, 484, 304, 279, 46044, 311, 270, 9890, 11, 902, 690, 1304, 46620, 279, 31452, 5041, 8831, 8, 719, 499, 2011, 1935, 2512, 994, 21973, 323, 46620, 323, 358, 1101, 7079, 539, 7999, 2288, 1790, 21973, 627, 12, 220, 16, 62611, 7120, 62334, 14432, 11, 50459, 198, 12, 220, 5067, 342, 320, 1691, 49138, 8, 293, 10599, 1557, 31452, 198, 12, 220, 5332, 342, 320, 9274, 220, 17, 27154, 49138, 8, 1695, 4367, 293, 29163, 4589, 18414, 24512, 1389, 422, 1701, 24855, 404, 569, 21148, 24512, 1005, 220, 21, 824, 6638, 320, 269, 810, 422, 499, 3207, 779, 43131, 340, 12, 220, 16, 3544, 19151, 379, 23427, 198, 12, 220, 16, 62611, 4459, 14403, 198, 12, 3623, 2648, 13465, 477, 70723, 13465, 11, 10309, 198, 12, 41680, 30335, 220, 23, 10166, 320, 18, 25224, 8, 293, 10599, 1557, 51370, 82, 389, 31230, 2106, 28915, 11071, 13, 12362, 2678, 74155, 15998, 11, 63471, 1855, 51370, 1664, 449, 50459, 14432, 11, 15596, 704, 904, 13937, 627, 12, 12362, 13731, 89134, 11, 22497, 279, 31452, 1139, 30335, 220, 1272, 342, 320, 16, 13, 19, 54808, 8, 9863, 323, 30335, 220, 605, 342, 30565, 1758, 54808, 8, 9863, 13, 15028, 1855, 6710, 315, 31452, 1139, 264, 10508, 5041, 555, 10747, 10194, 701, 1450, 927, 279, 31452, 323, 7366, 433, 304, 264, 28029, 11633, 627, 12, 2057, 1376, 279, 2385, 315, 279, 28473, 11, 990, 449, 832, 3544, 5041, 315, 31452, 520, 7561, 7394, 323, 990, 6288, 311, 6211, 320, 998, 5471, 14432, 505, 24808, 709, 323, 50684, 2949, 279, 31452, 570, 86738, 1855, 31452, 5041, 1139, 264, 4883, 13668, 449, 701, 19779, 13, 41680, 220, 21, 477, 220, 21, 342, 320, 9274, 220, 42973, 12, 9933, 8, 18414, 24512, 304, 279, 12541, 315, 279, 31452, 4883, 13, 4324, 264, 5041, 6724, 86028, 279, 18414, 24512, 555, 23062, 709, 279, 14329, 11314, 315, 279, 31452, 4883, 323, 1243, 11, 9160, 28075, 3871, 311, 9966, 13, 11004, 279, 31452, 5041, 11, 27494, 3185, 1523, 11, 304, 279, 293, 10599, 1557, 51370, 13, 8612, 701, 25015, 304, 279, 12541, 315, 279, 31452, 5041, 311, 1893, 459, 21455, 320, 7072, 2771, 311, 539, 4018, 1555, 279, 31452, 323, 1101, 311, 3009, 279, 21455, 1120, 1603, 279, 2385, 315, 279, 51370, 4390, 12, 2057, 1893, 279, 83067, 320, 2025, 705, 1578, 11, 3318, 449, 832, 2678, 31452, 5041, 520, 7561, 7394, 11, 6638, 279, 5041, 389, 459, 9392, 6968, 459, 61137, 6211, 430, 374, 91529, 389, 832, 842, 323, 18460, 389, 279, 1023, 842, 320, 1820, 18460, 842, 690, 387, 279, 7479, 315, 279, 83067, 4390, 12, 2057, 15866, 61137, 311, 279, 8294, 5041, 11, 34504, 20415, 1963, 323, 6278, 19779, 323, 1243, 11, 30373, 3577, 279, 15376, 842, 315, 279, 61137, 1139, 279, 21455, 304, 279, 3544, 5041, 11, 3136, 3815, 420, 2212, 279, 11314, 315, 279, 21455, 3156, 1403, 45726, 315, 279, 61137, 61370, 1139, 279, 8294, 5041, 323, 1193, 264, 2697, 374, 2163, 9621, 11, 279, 83067, 477, 18460, 842, 315, 279, 61137, 627, 12, 2057, 10772, 19151, 11623, 11, 41759, 3871, 19151, 379, 23427, 323, 14403, 304, 264, 2678, 19763, 3156, 11093, 1664, 13, 12362, 74155, 15998, 11, 3881, 264, 15792, 6324, 315, 19151, 11623, 389, 279, 7479, 315, 279, 31452, 320, 7072, 2771, 279, 19151, 11623, 1587, 539, 7463, 389, 279, 74155, 477, 73599, 1523, 304, 1990, 279, 31452, 323, 25826, 6062, 433, 690, 387, 5107, 311, 38531, 619, 279, 28473, 29275, 12, 41680, 3116, 69098, 29247, 304, 1990, 279, 51370, 82, 389, 279, 28915, 11071, 13, 44464, 279, 28915, 11071, 1139, 264, 3544, 11, 4335, 12466, 9145, 11, 259, 47270, 279, 10548, 1234, 320, 269, 422, 499, 10932, 3504, 449, 12466, 15411, 570, 6914, 10205, 520, 3130, 9499, 3156, 35717, 304, 8286, 11, 922, 220, 17, 4207, 627, 12, 5075, 20559, 24276, 311, 220, 5245, 11877, 356, 320, 8652, 11877, 435, 4390, 12, 12362, 2678, 74155, 15998, 11, 3881, 264, 2132, 15792, 41394, 315, 19151, 11623, 389, 279, 7479, 315, 1855, 293, 10599, 1557, 6638, 7214, 85947, 50347, 13465, 477, 70723, 13465, 320, 333, 1701, 8, 927, 1948, 13, 12040, 2512, 994, 19486, 19151, 11623, 11, 656, 539, 1095, 433, 7463, 389, 279, 74155, 323, 11, 3821, 369, 50511, 1725, 323, 656, 539, 15998, 279, 259, 1354, 11, 6062, 279, 28473, 690, 9396, 311, 279, 51370, 82, 3339, 433, 5107, 311, 4148, 1124, 627, 12, 53174, 3156, 21411, 14198, 477, 5419, 9499, 25501, 220, 5313, 11877, 356, 320, 9741, 11877, 435, 8, 389, 459, 9888, 1373, 93297, 11, 220, 914, 311, 220, 966, 4520, 627, 12, 11016, 505, 24276, 323, 7214, 38531, 619, 389, 9244, 30759, 13, 6914, 2559, 11, 49685, 11, 311, 7155, 3156, 8369, 13, 426, 10599, 1557, 28473, 527, 1888, 14333, 1418, 2103, 8369, 719, 3131, 6724, 65410, 649, 387, 9967, 304, 312, 325, 278, 481, 12466, 9145, 520, 3130, 9499, 369, 709, 311, 220, 18, 2919, 13, 1050, 20559, 304, 264, 8369, 24276, 1389, 220, 6330, 11877, 311, 220, 5245, 11877, 356, 320, 15257, 11877, 311, 220, 8652, 11877, 435, 4390, 12, 28326, 263, 93379, 6491, 4999, 16309, 25, 1306, 2978, 4322, 11, 13658, 15600, 11, 17954, 11, 17954, 28473, 11, 293, 10599, 1557, 11, 293, 10599, 1557, 31452, 11, 293, 10599, 1557, 28473, 11, 70917, 11, 18414, 11, 30311, 11, 3691, 11, 3691, 24685, 11, 3691, 7397, 11, 42293, 3347, 4108, 11, 8753, 28473, 11, 8753, 10437, 31452, 11, 10437, 16385, 11, 10437, 31452, 11, 10437, 28473, 11, 41580, 28473, 11, 20043, 15386, 16385 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 14809, 11406, 95622, 198, 791, 917, 374, 1949, 369, 49835, 323, 1070, 527, 20790, 10105, 6994, 481, 439, 1664, 13, 578, 1193, 52497, 374, 433, 753, 304, 13746, 439, 315, 279, 892, 315, 420, 4477, 11, 779, 1070, 527, 10712, 1752, 1063, 23367, 430, 2103, 1205, 6575, 704, 13, 3277, 433, 4131, 311, 8325, 29861, 389, 68278, 11, 499, 4805, 617, 279, 5845, 311, 1518, 279, 8709, 264, 2816, 5131, 706, 11, 323, 1304, 34074, 311, 1124, 11, 555, 8736, 279, 29861, 5130, 323, 18965, 11548, 369, 1115, 16406, 13, 1472, 4070, 4036, 11709, 369, 7528, 6382, 11, 3813, 11, 323, 43495, 2680, 11, 369, 2937, 11, 323, 264, 6376, 311, 3824, 2477, 5352, 11276, 13, 1789, 264, 810, 11944, 16865, 315, 264, 2816, 753, 8709, 11, 4299, 389, 43750, 8709, 505, 279, 6068, 15220, 5130, 627, 12, 1442, 499, 527, 17265, 1063, 3953, 389, 51901, 477, 13674, 11406, 11, 499, 1205, 311, 656, 433, 449, 264, 432, 23697, 30558, 16417, 627, 12, 1102, 753, 264, 16682, 398, 29585, 682, 3502, 19101, 11401, 6369, 422, 499, 3207, 1139, 430, 3169, 315, 3245, 627, 12, 1115, 56754, 86009, 2322, 55422, 15812, 6300, 389, 279, 4579, 315, 279, 9305, 315, 99903, 323, 374, 2162, 311, 927, 220, 966, 11, 931, 25958, 323, 48512, 627, 12, 4314, 527, 3629, 1633, 4062, 18808, 6957, 279, 1938, 11, 1243, 433, 753, 1203, 311, 14134, 13847, 89322, 15840, 627, 82038, 19149, 374, 1120, 220, 17, 4207, 3201, 505, 16759, 2949, 279, 4851, 315, 279, 57870, 41114, 449, 20441, 6325, 315, 36608, 13, 22674, 1291, 682, 43438, 35306, 13, 8423, 459, 4360, 449, 2500, 26792, 555, 69707, 927, 872, 3498, 323, 18965, 279, 1523, 30408, 389, 279, 1888, 11, 1243, 30230, 389, 1054, 10577, 11453, 1472, 649, 1101, 1934, 555, 6968, 264, 14162, 323, 79253, 1054, 31, 16373, 546, 391, 863, 311, 15820, 603, 6089, 13, 1442, 701, 4747, 4536, 1431, 20250, 555, 2768, 279, 69771, 18726, 3485, 11, 4587, 4299, 389, 1618, 311, 1629, 264, 4732, 1817, 323, 4430, 701, 3135, 304, 264, 1862, 11989, 627, 5159, 435, 52488, 356, 4214, 198, 39212, 9364, 505, 3566, 6108, 18632, 527, 6177, 922, 1855, 8502, 21925, 13, 578, 1561, 15456, 59015, 7528, 6382, 50829, 264, 3974, 1684, 315, 279, 36664, 439, 29921, 439, 1510, 9282, 13463, 13, 10573, 4885, 520, 15064, 43, 2130, 5657, 4580, 279, 4933, 449, 264, 6366, 12224, 753, 8071, 1684, 315, 279, 24405, 304, 279, 4092, 13, 3161, 279, 2493, 287, 70991, 69545, 27041, 11, 499, 4762, 649, 1684, 3118, 4787, 323, 9616, 279, 30296, 1990, 264, 1695, 24035, 1938, 7863, 311, 264, 3958, 24035, 1938, 13, 34937, 11348, 11105, 279, 1888, 315, 49136, 4409, 13011, 627, 64791, 34054, 11, 27864, 30241, 83695, 11, 393, 4003, 11, 323, 4969, 3536, 527, 682, 6555, 3953, 311, 1514, 927, 17375, 4199, 11, 323, 393, 4003, 323, 4969, 3536, 1541, 1431, 1397, 904, 3361, 7563, 13, 1115, 3498, 706, 1063, 810, 2671, 439, 29921, 439, 7634, 430, 649, 1520, 28696, 1521, 2835, 3953, 11, 477, 2231, 45925, 264, 4200, 1847, 3814, 892, 13, 2057, 8417, 264, 32380, 96764, 42447, 11, 7757, 5029, 13335, 527, 264, 14964, 2035, 311, 3240, 701, 2778, 13, 27140, 27258, 5133, 11, 2930, 2126, 1303, 3600, 527, 6319, 311, 636, 7931, 304, 3974, 5178, 15851, 315, 59343, 13, 23674, 311, 11191, 4729, 8336, 11, 3566, 6732, 1093, 1521, 3493, 5220, 323, 7945, 311, 872, 7318, 3697, 13, 13538, 499, 2778, 369, 264, 32429, 7583, 96764, 17240, 11, 3373, 832, 315, 279, 1888, 59863, 5029, 7757, 2816, 323, 8298, 264, 27639, 4367, 6685, 627, 36, 38367, 10640, 481, 11208, 424, 198, 791, 400, 19, 1276, 258, 2676, 11888, 15493, 21742, 5825, 13444, 37375, 1093, 47866, 991, 6429, 323, 279, 5845, 311, 1304, 1005, 315, 904, 991, 1295, 389, 904, 3622, 13, 362, 32924, 374, 264, 1664, 12, 44336, 6369, 3130, 917, 30139, 304, 7036, 311, 10721, 1093, 17366, 477, 35164, 13, 2684, 527, 264, 7029, 6727, 315, 10977, 369, 264, 7029, 6727, 315, 13146, 323, 499, 649, 1893, 701, 1866, 422, 499, 6562, 311, 627, 24374, 541, 374, 832, 315, 279, 38391, 6369, 3130, 10721, 389, 279, 1160, 13, 1102, 753, 35064, 2718, 369, 35843, 14738, 1109, 5912, 1274, 13, 1102, 753, 1120, 264, 6369, 3130, 917, 449, 11510, 315, 2671, 779, 1541, 1431, 2733, 1093, 499, 1193, 617, 311, 1304, 1005, 315, 433, 369, 16211, 13, 1115, 832, 14090, 294, 12806, 645, 304, 879, 6369, 12295, 11, 719, 1070, 527, 1063, 586, 49626, 389, 279, 3157, 422, 499, 2778, 369, 1124, 13, 4427, 1023, 4519, 2997, 7899, 12006, 11, 2167, 6743, 1990, 4040, 1732, 3697, 11, 323, 499, 4805, 387, 961, 315, 439, 1690, 16692, 439, 499, 1205, 311, 627, 10445, 7984, 4843, 15668, 9336, 77073, 198, 35197, 49, 37180, 3250, 1431, 1005, 904, 6500, 8522, 311, 29531, 264, 27041, 439, 872, 4367, 374, 43395, 43426, 13, 12361, 11, 4211, 4985, 387, 42415, 709, 2403, 3956, 449, 30139, 33347, 323, 10504, 22394, 311, 1518, 1268, 814, 9616, 11, 323, 10837, 555, 1648, 315, 264, 2478, 42835, 1385, 13, 7566, 11, 358, 7070, 6562, 311, 6994, 2038, 505, 32857, 12053, 22621, 13, 5938, 311, 1202, 3956, 11, 5220, 11, 25975, 323, 4040, 6209, 555, 384, 8232, 13, 7557, 6928, 311, 1935, 264, 1427, 520, 856, 2132, 45269, 4170, 292, 309, 11, 902, 32860, 279, 10099, 65493, 856, 523, 1982, 5510, 388, 13, 8442, 29135, 3695, 449, 682, 279, 12146, 2671, 2643, 387, 12882, 13, 578, 293, 41284, 511, 309, 27041, 6369, 4676, 374, 832, 1023, 4288, 7528, 4170, 292, 309, 6369, 2816, 430, 33095, 264, 1579, 6566, 315, 96391, 13, 9086, 1690, 315, 279, 2204, 3566, 6732, 9932, 11, 499, 3207, 35526, 709, 449, 459, 10805, 33719, 305, 1366, 58757, 398, 627, 791, 7648, 48023, 47673, 2057, 11544, 65658, 4800, 198, 791, 3717, 14994, 389, 279, 48598, 15335, 21438, 374, 220, 17, 13, 20, 7693, 35306, 13, 2893, 8010, 430, 420, 21438, 649, 21742, 1373, 323, 2867, 828, 430, 753, 264, 961, 315, 279, 507, 9740, 17, 1887, 323, 3250, 1431, 990, 449, 37581, 11, 3805, 21946, 11, 477, 5707, 2532, 3177, 6067, 13, 578, 1664, 12, 44336, 1115, 54, 269, 87, 3351, 481, 35528, 29302, 374, 264, 6573, 6727, 369, 21739, 11125, 311, 709, 872, 1841, 96391, 47044, 13, 578, 9479, 3231, 220, 19808, 63665, 374, 61149, 439, 264, 1948, 315, 279, 1584, 24858, 6730, 449, 279, 3430, 311, 2489, 627, 40, 14614, 1005, 42619, 477, 5690, 10504, 45, 11, 719, 433, 753, 539, 5115, 5150, 892, 323, 499, 4805, 1431, 5042, 6369, 311, 21739, 422, 499, 2216, 2733, 10932, 433, 439, 264, 842, 1121, 315, 7931, 527, 264, 2766, 46878, 8965, 323, 527, 539, 86359, 311, 0, 1952, 602, 41651, 26738, 11, 499, 4805, 1505, 4288, 3974, 2835, 49626, 439, 1664, 439, 63633, 2262, 6369, 12295, 902, 1304, 433, 1120, 1093, 19116, 797, 273, 11, 719, 602, 41651, 26738, 5097, 5900, 832, 3094, 5217, 13, 4740, 279, 87790, 11, 499, 527, 18719, 311, 5249, 264, 1949, 389, 8614, 2126, 1303, 477, 4333, 44830, 13, 9843, 499, 1304, 701, 6727, 11, 5042, 4299, 279, 1054, 57, 2599, 863, 3215, 323, 499, 1436, 387, 8599, 13, 1442, 499, 1120, 1093, 279, 3927, 499, 3207, 5552, 449, 11, 499, 4805, 617, 279, 5845, 311, 4299, 279, 1054, 42737, 5383, 863, 3215, 311, 1054, 64510, 863, 420, 3927, 3131, 810, 13, 1442, 499, 1541, 1431, 1093, 1124, 11, 4299, 389, 279, 1054, 14755, 1638, 863, 3215, 323, 499, 4805, 555, 912, 3445, 387, 8599, 311, 430, 1732, 1578, 13, 49074, 16047, 29790, 439, 1790, 439, 220, 717, 2835, 35496, 824, 3130, 323, 3727, 1005, 315, 459, 5446, 279, 2035, 6444, 649, 4365, 3974, 2835, 315, 5039, 21685, 389, 279, 2532, 11, 323, 433, 3250, 1431, 3430, 264, 8331, 627, 14364, 2876, 57238, 34120, 3011, 1472, 16910, 44617, 8886, 69548, 87691, 589, 198, 3947, 527, 11510, 315, 19116, 797, 273, 2204, 323, 2835, 1650, 389, 8614, 13335, 13, 7648, 315, 1124, 1101, 2187, 499, 311, 3137, 311, 40721, 22571, 13, 3861, 315, 1124, 374, 279, 13149, 49, 11206, 1649, 7427, 11, 902, 374, 1093, 18338, 5029, 323, 20682, 499, 311, 6604, 311, 3892, 15687, 4871, 264, 10015, 10074, 13, 2052, 315, 87350, 29819, 753, 3566, 2816, 323, 917, 3085, 1949, 15293, 369, 682, 46284, 3932, 13, 5112, 2597, 14765, 311, 6106, 499, 3207, 2768, 682, 12818, 5718, 13, 87350, 29819, 374, 6129, 922, 7296, 323, 17501, 430, 23628, 1541, 1431, 2231, 904, 28362, 3729, 2038, 389, 279, 2816, 753, 21542, 627, 40, 4805, 1288, 2231, 1063, 3463, 304, 279, 3974, 3674, 20628, 439, 433, 1053, 387, 79953, 311, 2555, 10980, 505, 264, 67217, 6710, 369, 2771, 4325, 5315, 439, 1070, 374, 539, 264, 3451, 606, 1404, 29076, 682, 529, 311, 279, 3917, 13, 358, 5268, 4288, 6369, 1442, 499, 90660, 5905, 311, 35058, 499, 4805, 617, 279, 5845, 311, 690, 5387, 264, 1984, 1389, 433, 374, 1695, 7434, 11, 32161, 420, 389, 8019, 797, 273, 6369, 13, 4718, 6369, 11, 1495, 11, 7855, 11, 477, 2835, 649, 5042, 387, 12715, 323, 1511, 2403, 499, 627, 2028, 45269, 282, 9802, 58107, 6730, 374, 35328, 304, 36937, 11, 21272, 1174, 323, 374, 21685, 555, 14594, 13, 13440, 499, 1120, 617, 311, 1440, 279, 2035, 311, 3190, 14373, 477, 499, 6562, 311, 3197, 264, 1949, 33873, 27834, 11879, 11, 584, 4070, 2751, 499, 9960, 13, 1472, 649, 16632, 1005, 701, 7941, 58409, 753, 24229, 311, 6056, 704, 16006, 287, 3345, 311, 499, 323, 1524, 1005, 1057, 11879, 50811, 311, 3197, 701, 6149, 505, 13962, 311, 13962, 13, 19418, 499, 1390, 6500, 1534, 27573, 15871, 3196, 304, 701, 2361, 30, 445, 17528, 10690, 374, 264, 3229, 323, 264, 31657, 315, 682, 2574, 2835, 627, 2460, 18632, 12602, 2731, 31348, 2835, 994, 1070, 374, 264, 1695, 23900, 2592, 11, 323, 3566, 75350, 7784, 1431, 904, 4788, 13, 3277, 19301, 264, 7858, 311, 1934, 11, 2567, 3201, 505, 10687, 449, 3428, 22443, 477, 459, 14560, 3392, 315, 95422, 287, 662, 45773, 18186, 1253, 11776, 701, 2835, 3411, 38593, 704, 11, 477, 11201, 11, 1436, 733, 3201, 499, 3411, 1093, 264, 12737, 88, 8417, 13, 1472, 649, 3820, 505, 3974, 17265, 6325, 315, 44985, 16759, 11, 69829, 11004, 8152, 11, 279, 16759, 15064, 1074, 11, 279, 11746, 89900, 11, 10640, 22674, 1291, 11, 323, 6325, 315, 279, 1455, 1664, 12, 44336, 10068, 29779, 5789, 627, 19805, 430, 4131, 449, 279, 356, 18485, 15714, 499, 4305, 13711, 11, 37377, 279, 9392, 11, 1005, 279, 27041, 439, 264, 4868, 6382, 323, 1935, 7397, 311, 2567, 3201, 505, 48897, 311, 701, 79953, 6678, 13, 3639, 3727, 433, 1455, 48776, 374, 1202, 52229, 389, 4580, 43495, 11, 279, 5410, 315, 902, 584, 9167, 1431, 3970, 304, 904, 27041, 1603, 13, 578, 2905, 61882, 426, 10599, 220, 19, 42, 1322, 47673, 374, 555, 3117, 279, 1455, 11646, 1647, 5349, 309, 8376, 315, 279, 15860, 11, 719, 433, 753, 37938, 279, 1193, 832, 430, 1253, 6230, 304, 220, 19, 42, 2835, 4367, 13, 1442, 499, 3207, 12304, 922, 3938, 11311, 287, 701, 17265, 4913, 11, 420, 1436, 387, 264, 1695, 5873, 13, 28993, 11, 279, 1455, 7524, 27041, 584, 6773, 311, 5357, 389, 574, 279, 2905, 61882, 12445, 356, 18485, 627, 2181, 649, 387, 1888, 422, 433, 3287, 1431, 12446, 11, 38330, 433, 1587, 814, 6118, 38913, 44355, 13, 2100, 430, 753, 856, 22118, 430, 1389, 539, 10728, 311, 617, 49727, 367, 35595, 1389, 719, 912, 5353, 311, 4295, 279, 22743, 3215, 13, 60363, 560, 433, 311, 2019, 1521, 220, 18, 69089, 527, 1022, 311, 264, 294, 376, 647, 1212, 304, 2324, 323, 7846, 1431, 617, 5190, 6699, 13, 2650, 2057, 51378, 362, 21382, 22103, 24762, 1268, 311, 2543, 1139, 264, 4200, 18328, 449, 912, 19248, 11, 682, 279, 1455, 7524, 7528, 18328, 7032, 369, 6747, 1238, 11, 323, 682, 279, 1888, 4200, 18328, 7620, 13, 1442, 264, 2883, 3966, 499, 311, 990, 520, 912, 2853, 439, 264, 1495, 6369, 5793, 499, 1288, 2567, 3201, 505, 1124, 11, 439, 1521, 19339, 3629, 1541, 1431, 6562, 311, 8175, 11, 323, 21742, 1390, 311, 617, 701, 2532, 369, 1949, 13, 1628, 11, 422, 539, 11, 1456, 279, 14329, 1495, 6369, 19339, 3857, 279, 2035, 499, 1253, 636, 7318, 311, 1495, 6369, 449, 704, 88342, 13, 22938, 23508, 7612, 1274, 311, 617, 1063, 6931, 3217, 304, 2930, 52067, 449, 15528, 10758, 7512, 323, 264, 6721, 11827, 627, 9673, 28554, 38263 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 1966, 220, 1544, 6186, 220, 7285, 16, 11, 80474, 18276, 1247, 11721, 304, 7295, 520, 279, 7295, 6150, 315, 35300, 320, 43, 937, 570, 18276, 1247, 6688, 3116, 11714, 46232, 520, 220, 20, 281, 749, 13, 505, 220, 1544, 311, 220, 966, 6186, 220, 7285, 16, 389, 1054, 63818, 323, 25003, 863, 320, 4438, 942, 220, 679, 16, 25, 220, 5162, 705, 323, 1521, 46232, 1051, 3010, 4756, 304, 9635, 439, 279, 2363, 37133, 323, 25003, 320, 30649, 220, 7285, 16, 705, 459, 91518, 315, 279, 58069, 8184, 42392, 31535, 320, 1905, 1182, 570, 18276, 1247, 5678, 1047, 6052, 311, 35998, 555, 220, 975, 7552, 220, 7285, 15, 11, 719, 568, 7882, 311, 13527, 311, 1935, 709, 264, 17136, 14561, 5383, 520, 279, 445, 937, 304, 6664, 220, 7285, 16, 13, 82603, 1550, 539, 9604, 18276, 1247, 753, 445, 937, 46232, 11, 719, 40796, 735, 4852, 269, 1047, 1027, 520, 279, 445, 937, 2533, 5936, 220, 5926, 22, 320, 998, 49643, 264, 426, 3407, 13, 304, 28989, 705, 323, 36548, 18677, 627, 3915, 12688, 220, 7285, 15, 4235, 7285, 16, 323, 279, 10683, 315, 220, 7285, 16, 11, 82603, 574, 6532, 304, 59000, 279, 1934, 315, 279, 7553, 26064, 276, 10554, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 12448, 570, 1115, 1934, 574, 8667, 555, 82603, 389, 220, 1682, 3297, 323, 1903, 2561, 389, 279, 220, 1032, 5887, 220, 7285, 16, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 18625, 4390, 1966, 220, 868, 6186, 220, 7285, 16, 11, 304, 264, 9063, 13195, 11, 82603, 14618, 311, 279, 3575, 315, 264, 6996, 315, 586, 323, 879, 10374, 439, 264, 3682, 3560, 304, 14718, 279, 18710, 11, 323, 28932, 12992, 304, 586, 323, 879, 10374, 311, 4827, 26690, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 19230, 4235, 12910, 4390, 1622, 4978, 9087, 311, 71040, 279, 47112, 315, 279, 1561, 4273, 1543, 323, 279, 17671, 304, 6186, 4235, 33877, 220, 7285, 16, 11, 323, 82603, 5678, 6244, 21892, 315, 279, 11093, 4580, 304, 7552, 3156, 568, 8636, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 19869, 570, 1952, 279, 220, 22, 5587, 220, 7285, 16, 11, 82603, 4756, 459, 4652, 2663, 1054, 2051, 87075, 369, 264, 38493, 24912, 3168, 863, 304, 279, 1561, 4273, 1543, 323, 17671, 11, 902, 10666, 279, 1162, 369, 9313, 2191, 304, 13527, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 12448, 570, 82603, 11223, 264, 61361, 315, 220, 868, 4, 389, 28648, 323, 18768, 21110, 4830, 3149, 15557, 323, 220, 20, 4, 389, 3691, 58404, 15557, 11, 14918, 311, 8108, 279, 1205, 369, 8199, 15455, 477, 3827, 12992, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 8358, 4235, 21164, 570, 84224, 88315, 6267, 264, 10052, 311, 82603, 529, 1162, 369, 9313, 2191, 11, 4756, 389, 220, 975, 5587, 220, 7285, 16, 320, 4438, 942, 220, 679, 16, 25, 220, 3753, 4390, 644, 3389, 7552, 82603, 6244, 5986, 449, 20181, 484, 20000, 323, 62937, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 20422, 4390, 1966, 220, 19, 3297, 220, 7285, 16, 11, 21377, 78, 328, 969, 73042, 574, 21489, 439, 30508, 5806, 96020, 520, 24562, 627, 3915, 3297, 311, 5887, 220, 7285, 16, 11, 40796, 735, 4852, 269, 18677, 279, 7474, 4751, 520, 279, 3907, 315, 47387, 439, 961, 315, 813, 3495, 4236, 2200, 520, 279, 445, 937, 320, 1016, 2881, 16836, 220, 3753, 22, 25, 220, 1419, 705, 323, 389, 220, 16, 6287, 220, 7285, 16, 11, 735, 4852, 269, 574, 1176, 21489, 311, 264, 13643, 16920, 1711, 2361, 520, 279, 445, 937, 320, 1016, 2881, 16836, 220, 3753, 22, 25, 220, 1544, 26, 304, 6664, 220, 7285, 17, 11, 735, 4852, 269, 6244, 264, 15690, 22103, 42043, 7889, 4390, 28259, 4235, 806, 5887, 220, 7285, 16, 25, 82603, 304, 5270, 198, 1966, 220, 966, 3297, 220, 7285, 16, 11, 82603, 76844, 369, 1561, 4356, 449, 813, 7555, 323, 813, 4034, 36513, 505, 5651, 4235, 806, 5887, 220, 7285, 16, 13, 82603, 7543, 1403, 5672, 304, 1561, 4356, 323, 2322, 12387, 7510, 323, 64243, 2737, 33305, 11799, 323, 51558, 48290, 320, 24544, 1748, 315, 279, 12411, 25820, 8925, 8, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 15515, 4390, 1622, 4978, 1047, 1027, 18719, 311, 279, 21750, 5114, 68569, 520, 279, 3907, 315, 10780, 320, 276, 9974, 1567, 8, 1405, 568, 574, 311, 3041, 264, 3137, 2663, 1054, 1844, 21093, 439, 264, 4435, 22854, 863, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 21312, 705, 323, 568, 6688, 2380, 46232, 389, 220, 1313, 5651, 11, 220, 1627, 5651, 11, 220, 17, 5887, 220, 7285, 16, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 19631, 4390, 1622, 4978, 574, 304, 10780, 505, 220, 1313, 5651, 311, 220, 17, 5887, 220, 7285, 16, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 21312, 570, 13182, 13610, 11, 82603, 11, 520, 420, 6566, 304, 813, 7422, 11, 1550, 539, 29115, 264, 3544, 13230, 586, 4375, 2068, 304, 5270, 11, 719, 3463, 2802, 4478, 4947, 1288, 387, 279, 1925, 5507, 369, 11039, 279, 18710, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 21312, 705, 323, 82603, 1766, 430, 1063, 10780, 45415, 1051, 810, 33445, 315, 586, 4375, 7620, 311, 4546, 1523, 26690, 1109, 568, 574, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 19695, 570, 4923, 307, 2053, 8050, 706, 12090, 430, 1063, 10780, 2978, 45415, 1051, 810, 1054, 1622, 4978, 1122, 1109, 82603, 863, 304, 220, 7285, 16, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 19695, 4390, 1622, 4978, 7543, 813, 1566, 9178, 304, 5270, 304, 1561, 31997, 11, 323, 389, 220, 806, 5887, 220, 7285, 16, 82603, 323, 813, 7555, 2163, 1561, 4356, 369, 9635, 11, 323, 2391, 813, 471, 45640, 82603, 6267, 264, 82758, 2663, 1054, 36, 32107, 32934, 304, 279, 3723, 4273, 863, 902, 574, 3010, 63973, 311, 279, 12801, 9675, 11, 279, 23362, 45013, 9251, 320, 36, 1741, 8, 323, 279, 8715, 315, 9635, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 21851, 4390, 972, 5887, 4235, 33246, 220, 7285, 16, 198, 4599, 82603, 6052, 311, 9635, 389, 220, 972, 5887, 11, 279, 220, 7285, 16, 1917, 6020, 11501, 574, 304, 5208, 11, 323, 82603, 574, 8965, 520, 350, 16695, 927, 279, 4038, 505, 5887, 311, 6250, 13, 1952, 220, 806, 3297, 220, 7285, 16, 320, 15145, 82603, 1047, 2163, 369, 5270, 705, 279, 58069, 6201, 735, 11063, 62294, 3223, 1047, 29368, 13, 3296, 3389, 3297, 220, 7285, 16, 11, 279, 6020, 11501, 1047, 9041, 311, 10057, 11, 1405, 279, 51659, 17319, 1201, 16654, 505, 6129, 18151, 315, 30600, 13, 1952, 220, 508, 5651, 220, 7285, 16, 11, 58463, 73409, 7376, 279, 73409, 8613, 66844, 11, 902, 574, 264, 832, 1060, 4411, 66844, 389, 6063, 11897, 312, 71188, 1392, 11, 12054, 555, 8151, 323, 11, 1306, 1063, 2926, 13957, 555, 9822, 11, 555, 37755, 1023, 17089, 13, 73409, 1101, 3984, 400, 1041, 3610, 369, 279, 51659, 17319, 1201, 13, 2030, 420, 1550, 539, 12391, 14343, 323, 555, 3389, 5651, 323, 4216, 5887, 264, 15748, 9434, 1629, 389, 7362, 9473, 4295, 10057, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 20767, 4390, 1383, 220, 1032, 5887, 220, 7285, 16, 11, 10057, 574, 9770, 311, 19678, 264, 1403, 11477, 6201, 323, 5708, 9473, 13560, 11, 1306, 279, 18678, 315, 279, 11824, 266, 8715, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 20767, 570, 13527, 574, 1101, 4295, 555, 264, 15748, 704, 5072, 315, 6864, 25, 505, 5887, 311, 6250, 279, 8715, 315, 9635, 5675, 927, 7083, 1049, 3610, 304, 30600, 304, 1202, 4879, 311, 10519, 279, 31123, 73037, 389, 279, 6761, 9473, 5410, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 20936, 4390, 644, 2077, 311, 264, 1715, 369, 9650, 505, 279, 12801, 9675, 11, 82603, 20592, 389, 220, 20, 6287, 220, 7285, 16, 11, 323, 16475, 61630, 11193, 323, 14610, 430, 433, 374, 1054, 3409, 7154, 3738, 430, 584, 4985, 733, 1022, 279, 6484, 6761, 50715, 520, 912, 29827, 2457, 863, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 21123, 4390, 791, 11501, 574, 779, 6129, 430, 38603, 352, 81973, 320, 52961, 12801, 9675, 8, 6052, 505, 7474, 25425, 389, 220, 806, 6287, 11, 323, 5762, 13147, 16659, 323, 264, 2539, 34046, 6574, 389, 220, 777, 6287, 220, 7285, 16, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 22467, 570, 90730, 389, 279, 6761, 5410, 574, 1457, 12266, 369, 13527, 439, 53675, 304, 7362, 36702, 2631, 15748, 15455, 311, 3109, 10374, 323, 3827, 12992, 11, 439, 279, 3430, 315, 53675, 505, 279, 8715, 315, 9822, 11, 279, 12411, 25820, 315, 1561, 4356, 323, 622, 13, 393, 13, 23809, 574, 872, 7631, 311, 8335, 279, 8199, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 19498, 570, 578, 12324, 2949, 279, 18993, 4717, 1101, 14763, 279, 18993, 3109, 11, 439, 279, 34046, 16626, 555, 220, 868, 311, 220, 20, 304, 12617, 315, 264, 13254, 61361, 11, 323, 1101, 264, 8857, 1053, 539, 1862, 810, 1109, 7083, 3487, 3610, 315, 8199, 15455, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 19498, 4390, 644, 6287, 220, 7285, 16, 11, 1070, 9922, 279, 1176, 315, 264, 1403, 29137, 3477, 315, 82603, 529, 362, 19409, 1082, 389, 18099, 555, 80474, 6675, 18276, 1247, 304, 279, 8486, 51183, 3074, 13, 578, 2132, 961, 9922, 304, 7552, 220, 7285, 17, 13, 82603, 1550, 10052, 311, 18276, 1247, 11, 719, 279, 63836, 315, 18276, 1247, 1051, 10213, 40815, 2533, 82603, 5246, 3782, 311, 2109, 664, 6629, 1690, 315, 279, 6848, 304, 279, 19409, 1082, 627, 1966, 220, 1187, 6287, 220, 7285, 16, 11, 38603, 352, 81973, 14454, 264, 5165, 10423, 449, 279, 49344, 11, 52481, 323, 264, 502, 5165, 18993, 1912, 627, 791, 3925, 315, 17047, 304, 13527, 304, 1521, 1667, 649, 387, 29385, 4147, 439, 11263, 512, 20, 5651, 220, 5926, 24, 4235, 1187, 6287, 220, 7285, 16, 1389, 18993, 3109, 449, 38603, 352, 81973, 439, 8013, 12801, 9675, 1966, 220, 1544, 6287, 11, 279, 502, 5165, 26283, 3109, 6773, 311, 4305, 264, 2068, 315, 61630, 11, 449, 45426, 15455, 323, 3827, 12992, 11, 323, 555, 220, 605, 6250, 220, 7285, 16, 433, 6137, 311, 4305, 1521, 11193, 627, 1187, 6287, 4235, 1544, 6664, 220, 7285, 16, 1389, 5629, 5165, 10423, 449, 38603, 352, 81973, 439, 8013, 12801, 9675, 449, 49344, 11, 52481, 323, 264, 502, 5165, 18993, 1912, 198, 1544, 6664, 220, 7285, 16, 1389, 3723, 15422, 4689, 6355, 198, 20, 6841, 220, 7285, 16, 4235, 22, 5651, 220, 7285, 20, 1389, 279, 10657, 5165, 10423, 198, 22, 5651, 220, 7285, 20, 4235, 1591, 3297, 220, 7285, 22, 1389, 31552, 56018, 374, 12801, 9675, 315, 13527, 627, 1966, 220, 845, 6250, 11, 82603, 20669, 264, 1912, 315, 37761, 304, 279, 4783, 315, 26667, 11, 323, 568, 39025, 279, 61630, 8199, 439, 81789, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 19498, 4235, 19615, 4390, 4071, 7000, 315, 279, 11193, 18306, 555, 279, 502, 5165, 3109, 10717, 279, 6864, 11213, 505, 13527, 11, 323, 994, 279, 8715, 315, 9635, 5675, 927, 7083, 972, 3610, 389, 220, 972, 6250, 11, 433, 574, 6773, 311, 27343, 279, 6761, 5625, 3225, 315, 279, 31123, 73037, 1306, 38245, 389, 220, 777, 6250, 220, 7285, 16, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 22369, 4390, 1966, 220, 508, 6250, 279, 3109, 7376, 430, 13527, 1053, 15673, 279, 6761, 9473, 5410, 279, 1828, 1938, 11, 902, 1243, 7077, 389, 7159, 320, 1691, 6250, 220, 7285, 16, 8, 994, 264, 7573, 12028, 320, 6219, 14988, 8, 8766, 574, 5946, 304, 20302, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 22369, 4390, 1622, 4978, 4024, 311, 7295, 323, 20186, 505, 220, 1691, 6250, 311, 220, 605, 6664, 220, 7285, 16, 11, 994, 568, 18677, 2380, 16659, 315, 279, 23362, 45013, 9251, 753, 10554, 389, 23362, 8245, 439, 1664, 439, 264, 6574, 315, 279, 7089, 10349, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 21458, 570, 82603, 294, 1619, 449, 279, 12801, 9675, 389, 220, 20, 6664, 220, 7285, 16, 323, 1243, 12263, 46296, 10058, 520, 921, 5757, 320, 19847, 307, 2053, 8050, 220, 2550, 17 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2181, 1253, 387, 90873, 1314, 1457, 11, 719, 433, 753, 892, 311, 1212, 7422, 922, 7474, 60299, 13, 34969, 527, 2561, 1475, 1023, 8079, 505, 220, 21, 12, 23, 7314, 5587, 220, 1682, 339, 627, 40, 38023, 3371, 13835, 11, 1694, 304, 72584, 2747, 2391, 279, 1400, 5086, 7474, 389, 3335, 11, 2103, 6835, 757, 279, 33147, 311, 6136, 28036, 323, 5593, 36536, 13, 4314, 3838, 19837, 11, 323, 279, 93297, 31990, 2795, 220, 9992, 320, 258, 279, 57823, 570, 358, 1120, 5918, 279, 1566, 4950, 315, 279, 3280, 13, 358, 1097, 2103, 539, 2771, 3508, 311, 1095, 433, 2503, 323, 3868, 369, 10683, 48114, 315, 60399, 477, 311, 733, 449, 19837, 323, 824, 2734, 10522, 13, 1102, 374, 279, 8706, 3686, 323, 358, 1550, 433, 682, 555, 7182, 1701, 709, 682, 315, 279, 57823, 59872, 320, 18, 8, 505, 4216, 11, 5209, 323, 3389, 420, 7474, 11, 433, 374, 682, 34490, 357, 39134, 1314, 1457, 719, 279, 523, 953, 527, 21955, 279, 11364, 63000, 323, 23367, 430, 41972, 4871, 13, 578, 74534, 2798, 304, 682, 279, 93740, 574, 220, 1954, 12628, 13, 358, 1550, 279, 5252, 24812, 61253, 1749, 627, 644, 1690, 5596, 315, 279, 3224, 67740, 11012, 527, 6646, 1054, 11099, 73048, 863, 323, 7510, 527, 3515, 1124, 7108, 11, 439, 304, 75662, 11, 10619, 11, 477, 527, 45647, 40962, 11, 439, 304, 420, 2816, 3770, 627, 8140, 13863, 1120, 8741, 311, 387, 304, 279, 4156, 20085, 13, 2684, 527, 912, 89864, 2403, 3815, 779, 11, 719, 584, 617, 1027, 19352, 3309, 311, 4148, 1057, 13863, 505, 279, 4156, 20085, 11, 3309, 311, 10533, 323, 31107, 1057, 4156, 20085, 11, 21699, 449, 35018, 11, 323, 68610, 369, 279, 1566, 2380, 4038, 2085, 42535, 13, 3277, 584, 17644, 311, 1052, 10405, 369, 26425, 520, 279, 38476, 10289, 6011, 11, 584, 1051, 32627, 520, 323, 3309, 311, 5387, 13, 1102, 574, 1071, 555, 279, 586, 4398, 9640, 430, 1054, 576, 374, 264, 8431, 4360, 11, 539, 9337, 113068, 33413, 13, 2100, 358, 1097, 1648, 5655, 1139, 2574, 15061, 1523, 11, 2011, 387, 279, 48602, 31657, 304, 757, 13, 578, 17817, 706, 1027, 16075, 520, 220, 9992, 94001, 369, 2919, 323, 358, 1097, 12756, 304, 51517, 11, 358, 5602, 19151, 939, 6572, 430, 1051, 3604, 93972, 1306, 13353, 279, 27402, 13, 2435, 1051, 27724, 4999, 1163, 875, 729, 527, 3815, 2294, 13, 1226, 1047, 311, 2231, 832, 304, 34619, 4212, 4470, 25402, 13, 358, 9107, 279, 83170, 323, 1364, 1047, 56994, 92723, 505, 1077, 11013, 13, 1226, 7086, 1077, 13805, 398, 11, 323, 56651, 2231, 1077, 1139, 58229, 66678, 13, 358, 1781, 430, 499, 527, 10171, 311, 656, 433, 369, 220, 17, 2919, 11, 358, 1436, 1193, 46753, 832, 323, 264, 4376, 13, 9119, 7054, 11, 47745, 37770, 11, 3816, 77419, 36443, 11, 31781, 648, 323, 33199, 434, 527, 682, 3815, 9765, 38662, 1664, 13, 9119, 7054, 374, 7060, 449, 1694, 13061, 709, 323, 11953, 2212, 555, 350, 17137, 689, 11, 856, 220, 20, 1060, 2362, 13, 3005, 706, 264, 502, 50671, 11, 20806, 279, 54623, 704, 304, 279, 6693, 1981, 627, 57789, 709, 520, 3816, 10564, 7127, 753, 13926, 800, 13, 18945, 7830, 512, 10115, 374, 7347, 0, 7290, 220, 21789, 12, 5037, 24, 311, 4254, 4999, 51, 2757, 315, 296, 24060, 30, 12268, 701, 37125, 1139, 264, 13863, 304, 1120, 264, 2478, 4207, 11, 1701, 10213, 47658, 7384, 13, 1226, 690, 1005, 279, 11071, 15975, 28075, 15105, 311, 1977, 264, 13863, 3871, 1418, 584, 4358, 1268, 433, 4375, 13, 3580, 28036, 5918, 449, 420, 1749, 304, 3347, 1667, 323, 1268, 814, 527, 31301, 1457, 13, 1472, 649, 1977, 1521, 36536, 323, 6136, 1124, 279, 1633, 1890, 1938, 0, 400, 914, 198, 4516, 8839, 323, 1219, 65664, 5651, 220, 21, 339, 220, 22, 12, 24, 5298, 198, 24762, 1268, 311, 33508, 279, 7720, 315, 11990, 315, 8162, 12, 76991, 311, 14553, 701, 54696, 304, 279, 13863, 13, 1115, 26129, 690, 1520, 499, 3619, 279, 23965, 315, 17614, 323, 4639, 499, 1268, 311, 5510, 701, 17614, 779, 430, 433, 649, 5510, 499, 13, 362, 1401, 961, 315, 420, 374, 3339, 1695, 57823, 779, 584, 690, 1977, 264, 57823, 27402, 3871, 11, 41480, 402, 6427, 279, 23347, 4920, 433, 779, 499, 649, 1304, 264, 4106, 27402, 1475, 892, 13, 1628, 1120, 369, 264, 12306, 11, 584, 690, 1101, 1304, 1063, 57823, 15600, 0, 400, 914, 198, 3792, 17884, 63226, 729, 5651, 220, 1032, 339, 220, 22, 12, 24, 5298, 198, 1163, 875, 729, 649, 387, 264, 2763, 315, 990, 11, 477, 814, 649, 656, 264, 2763, 315, 990, 369, 499, 13, 15281, 1268, 311, 1005, 3700, 12214, 10745, 16565, 311, 743, 709, 264, 8915, 11, 3428, 1474, 25577, 5133, 449, 701, 13863, 323, 54623, 13, 1226, 690, 3504, 682, 279, 32874, 315, 10494, 54623, 11, 4857, 264, 3428, 1474, 25577, 83170, 11, 323, 27548, 311, 12077, 7017, 3691, 13, 400, 914, 198, 3648, 520, 13926, 6825, 18945, 7830, 198, 25310, 323, 55391, 25, 362, 743, 315, 26610, 287, 4455, 369, 1884, 15107, 311, 36536, 198, 16834, 13520, 11, 279, 13863, 11, 323, 1057, 5016, 4443, 34779, 311, 1057, 36536, 439, 39948, 323, 1646, 584, 690, 19874, 26610, 287, 12823, 430, 2187, 369, 7191, 28664, 2987, 315, 3217, 1555, 264, 9302, 3445, 13, 763, 1023, 4339, 11, 27116, 864, 444, 36028, 315, 13633, 323, 2586, 4048, 311, 5603, 323, 3335, 701, 7982, 3280, 304, 264, 11782, 1648, 13, 1054, 11180, 701, 4059, 323, 279, 2800, 690, 1833, 51279, 198, 825, 414, 1389, 15281, 311, 2489, 279, 6206, 19567, 311, 279, 7351, 315, 279, 8071, 13, 1115, 6276, 499, 311, 3335, 1148, 499, 1518, 19579, 13633, 1148, 499, 1781, 499, 1518, 13, 578, 5933, 1584, 11, 10187, 23347, 11, 44696, 2968, 11, 323, 10651, 430, 690, 4585, 682, 315, 701, 38940, 3508, 477, 539, 814, 527, 26569, 627, 23514, 1389, 11699, 279, 31257, 430, 14921, 13, 2175, 1139, 279, 28591, 315, 6302, 323, 12602, 279, 3752, 323, 19451, 315, 3673, 304, 279, 13863, 304, 832, 7351, 13, 1472, 4805, 63179, 279, 1054, 89, 1791, 60171, 1918, 863, 315, 430, 22643, 1167, 86670, 304, 4330, 4520, 11, 2380, 11, 832, 11, 323, 5616, 220, 966, 6622, 627, 2519, 18410, 1389, 61328, 2380, 1486, 323, 1403, 1486, 13356, 13, 15281, 311, 1005, 1584, 311, 923, 8149, 311, 701, 38940, 13, 3011, 753, 1314, 11, 279, 1584, 2430, 323, 4785, 320, 23449, 2136, 8, 649, 2231, 1274, 323, 62517, 304, 2035, 2754, 1330, 627, 99004, 433, 682, 32255, 25, 71718, 304, 84922, 1389, 5560, 279, 38940, 2884, 520, 13926, 6825, 18945, 7830, 311, 923, 311, 701, 4443, 4526, 315, 7185, 9660, 311, 1893, 64241, 5448, 430, 95263, 701, 19459, 11, 16388, 323, 11704, 315, 701, 13863, 13, 320, 3112, 11415, 701, 502, 26610, 287, 7512, 315, 3388, 340, 31998, 12, 279, 11493, 279, 2731, 13, 5513, 1374, 1888, 13, 33739, 499, 617, 2294, 627, 7927, 7075, 4477, 82036, 8839, 12, 18726, 25, 97438, 11, 23423, 11, 24915, 11, 61203, 320, 543, 12562, 11, 21483, 11, 323, 72003, 288, 315, 1906, 3339, 82036, 8839, 10788, 340, 23958, 23665, 311, 4128, 389, 12, 24710, 25, 6710, 315, 11113, 4580, 11, 264, 2363, 11, 12829, 11071, 198, 10673, 3993, 12, 31467, 11, 12304, 11, 48539, 5382, 11, 22999, 11, 57169, 11, 98208, 198, 966, 3, 824, 538, 11, 2586, 832, 2586, 682, 198, 38, 8506, 323, 32926, 57149, 198, 48567, 374, 810, 2523, 449, 264, 9168, 315, 13378, 304, 1450, 0, 15281, 922, 3700, 12214, 10745, 12823, 323, 13863, 10631, 520, 279, 13926, 6825, 18945, 7830, 627, 28259, 220, 1591, 11, 5887, 220, 717, 11, 5887, 220, 777, 11, 5033, 220, 17, 477, 5033, 220, 845, 198, 5966, 2046, 304, 60299, 538, 584, 9687, 810, 922, 11071, 15975, 28075, 11, 477, 5252, 56057, 60299, 13, 1115, 374, 264, 1648, 315, 6968, 264, 13863, 4950, 2085, 279, 1205, 369, 1054, 87396, 863, 477, 264, 11092, 50108, 315, 1948, 17614, 13, 41812, 11, 499, 6324, 701, 20085, 12571, 304, 1778, 439, 1648, 430, 11705, 264, 9257, 17614, 369, 701, 11012, 13, 763, 538, 11, 584, 3779, 264, 2678, 3158, 311, 459, 2736, 6484, 4950, 627, 12, 1054, 13553, 863, 12571, 1389, 38241, 47503, 9257, 11, 1093, 16763, 1206, 2877, 826, 11, 3691, 12571, 11, 477, 893, 554, 198, 12, 1054, 65561, 863, 12571, 1389, 38241, 12782, 9257, 11, 1093, 11141, 198, 12, 73841, 38600, 198, 12, 93091, 477, 76518, 198, 1687, 1176, 22982, 1523, 264, 6324, 315, 3691, 12571, 11, 922, 220, 17, 15271, 12314, 11, 1243, 3090, 291, 433, 304, 627, 5971, 11, 584, 3779, 50917, 9863, 315, 55043, 11, 922, 1403, 477, 2380, 13931, 12314, 13, 578, 55043, 13912, 70535, 477, 16763, 505, 3794, 1555, 11, 779, 499, 1541, 1431, 1205, 311, 4018, 3201, 279, 24905, 30456, 13, 21335, 420, 6324, 264, 1695, 1317, 61792, 449, 279, 38600, 477, 1524, 5387, 433, 369, 264, 5743, 315, 2919, 627, 12487, 11, 25631, 13931, 315, 6307, 323, 14198, 11, 922, 1403, 315, 1855, 11, 73841, 304, 1990, 1855, 6324, 627, 2675, 649, 842, 449, 1063, 8220, 320, 8337, 287, 374, 539, 5995, 8, 57823, 323, 1063, 11141, 311, 3504, 279, 1948, 627, 55747, 287, 649, 387, 2884, 1314, 3201, 627, 2675, 649, 11071, 15975, 331, 904, 892, 315, 279, 1060, 13, 578, 13931, 690, 1464, 1523, 927, 892, 323, 16343, 264, 2697, 810, 311, 3041, 499, 264, 2216, 9257, 17614, 499, 649, 13863, 304, 1060, 1306, 1060, 627, 40, 4070, 1027, 5403, 922, 323, 1027, 61914, 555, 279, 4623, 315, 36760, 54623, 369, 264, 1418, 1457, 13, 5659, 51970, 29868, 311, 10455, 63602, 753, 8961, 11, 311, 31033, 2582, 2742, 753, 2294, 4652, 304, 578, 1561, 64874, 11, 92113, 20670, 617, 64238, 459, 2217, 44438, 779, 50013, 430, 433, 1288, 387, 20041, 555, 8661, 31760, 49216, 8140, 3217, 304, 279, 9420, 5383, 1903, 757, 264, 2697, 810, 24450, 311, 636, 1063, 54623, 315, 1057, 1866, 13, 8155, 7474, 11, 72584, 2747, 32828, 279, 48721, 323, 779, 1457, 36760, 54623, 527, 5535, 389, 9333, 9863, 315, 3424, 26, 1057, 220, 23, 11, 931, 9518, 4579, 20085, 649, 26267, 387, 2162, 311, 3116, 54623, 627, 1163, 5908, 1051, 704, 315, 279, 3488, 369, 603, 1606, 1057, 832, 1060, 6418, 77757, 374, 264, 2294, 296, 89105, 323, 358, 4510, 1884, 7512, 1053, 18182, 6920, 927, 1139, 813, 67029, 449, 279, 69089, 13, 358, 11713, 7893, 10145, 11, 1054, 15247, 425, 863, 54623, 11, 719, 304, 279, 33953, 8621, 459, 22705, 389, 73392, 369, 305, 729, 430, 527, 3995, 719, 2736, 35744, 13, 1102, 6656, 704, 1057, 502, 20229, 1051, 5496, 1120, 927, 264, 14929, 3201, 627, 2409, 856, 1008, 19089, 358, 1243, 1047, 922, 220, 17, 2919, 311, 636, 264, 83170, 323, 1629, 5644, 369, 279, 54623, 13, 358, 1047, 2736, 6773, 389, 4560, 311, 1505, 459, 2362, 1514, 7830, 320, 8370, 358, 1766, 369, 400, 1272, 1555, 73392, 8, 323, 32652, 1113, 433, 13, 578, 3070, 449, 279, 1514, 7830, 1051, 3169, 3403, 311, 6068, 433, 1022, 369, 757, 323, 11, 304, 279, 11422, 323, 1524, 264, 2697, 274, 19510, 11, 358, 57445, 389, 12035, 28392, 11, 7732, 11, 323, 1063, 1023, 99600, 13, 358, 4805, 1772, 810, 922, 279, 40688, 83170, 9364, 2500, 892, 11, 719, 1618, 527, 264, 2478, 9364, 315, 433, 304, 5208, 627, 791, 54623, 527, 6380, 11, 323, 8493, 1455, 315, 872, 892, 1949, 82105, 304, 279, 36760, 13, 358, 1097, 39019, 2103, 505, 279, 9178, 779, 358, 4805, 1456, 311, 65836, 420, 1772, 304, 279, 1828, 5743, 315, 2919, 13, 1226, 4070, 17454, 2380, 19335, 1855, 1938, 323, 814, 527, 18406, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 10001, 220, 16, 311, 220, 23, 315, 220, 23, 198, 6998, 25, 7250, 482, 622, 485, 278, 198, 2437, 12, 914, 12, 1049, 24, 11, 220, 1721, 25, 845, 6912, 674, 16, 198, 45437, 482, 622, 485, 278, 198, 16397, 279, 864, 43733, 37635, 11, 3754, 11351, 3782, 704, 449, 330, 49954, 23925, 1, 311, 31990, 586, 9647, 13, 6104, 279, 1314, 20611, 12248, 5780, 14362, 4473, 922, 36635, 323, 78421, 330, 37353, 71191, 433, 704, 315, 279, 6246, 1, 1855, 11249, 11, 279, 23925, 2744, 8710, 1120, 279, 14329, 13, 578, 6355, 3135, 1051, 279, 1620, 36543, 304, 1405, 430, 8903, 66529, 627, 3923, 264, 2294, 1648, 311, 20461, 1268, 5076, 1521, 1314, 20611, 79306, 1051, 323, 1268, 704, 315, 5916, 449, 279, 39542, 586, 814, 1051, 323, 1268, 73521, 872, 1866, 18463, 2216, 1051, 323, 527, 304, 279, 6800, 7036, 627, 90243, 596, 8982, 555, 7250, 706, 1578, 8208, 1234, 279, 1890, 36752, 13, 3639, 775, 1053, 499, 1755, 505, 26044, 3400, 309, 488, 719, 813, 24634, 1579, 50098, 14362, 484, 922, 10374, 86907, 323, 1268, 7250, 596, 8982, 574, 5128, 311, 3821, 719, 49101, 20278, 13, 578, 1890, 2362, 4384, 7937, 312, 339, 27456, 430, 33291, 810, 323, 810, 19994, 2410, 1306, 1855, 315, 7250, 596, 44440, 627, 1169, 596, 1427, 520, 18396, 596, 10885, 23925, 1131, 3409, 358, 7373, 1755, 279, 67164, 1529, 5100, 311, 387, 922, 1268, 23925, 527, 1193, 23354, 47603, 323, 617, 912, 32939, 11, 7389, 315, 3388, 11, 279, 7230, 832, 8158, 11815, 813, 477, 1077, 1866, 15376, 78162, 627, 60003, 25, 78318, 88, 86703, 3346, 315, 8982, 87672, 29251, 315, 4900, 7250, 24315, 6787, 369, 14892, 449, 279, 7100, 11501, 13, 13538, 279, 8982, 11, 220, 5538, 3346, 12054, 627, 56555, 25, 220, 6086, 4, 315, 8982, 85396, 388, 2019, 814, 1862, 7250, 596, 7100, 6787, 439, 33740, 304, 279, 8982, 11, 449, 1193, 220, 1114, 4, 2403, 13, 482, 459, 50013, 220, 5313, 4, 1071, 279, 8982, 1903, 1124, 2733, 810, 37036, 922, 279, 5216, 279, 3224, 374, 19946, 304, 627, 7816, 5199, 3582, 1436, 387, 38481, 622, 485, 278, 596, 1772, 8982, 13010, 8982, 13, 578, 13063, 527, 20558, 311, 1505, 264, 7899, 13, 36635, 574, 12153, 311, 387, 279, 832, 1131, 20577, 258, 1344, 801, 12616, 389, 279, 5426, 6566, 1131, 26597, 57493, 706, 1027, 10213, 10535, 304, 813, 14847, 323, 2216, 539, 6982, 5678, 13171, 315, 1694, 279, 7899, 627, 4516, 1828, 893, 709, 38481, 622, 485, 278, 13, 15148, 813, 8982, 5439, 4972, 311, 7250, 596, 30, 9393, 315, 856, 892, 304, 452, 91121, 11, 358, 617, 8272, 264, 2766, 315, 813, 7076, 323, 31387, 1790, 304, 813, 5603, 719, 358, 690, 2019, 430, 813, 892, 439, 279, 3063, 1885, 72407, 18396, 2163, 1461, 3411, 520, 264, 4948, 13471, 13, 3092, 9647, 719, 311, 4546, 709, 69756, 439, 264, 1648, 311, 8881, 5304, 4754, 7250, 3775, 826, 574, 1120, 2216, 704, 315, 5916, 13, 358, 1541, 956, 1518, 1268, 568, 649, 506, 50922, 1082, 5678, 505, 420, 29859, 8982, 13, 2360, 10885, 23925, 389, 420, 282, 23568, 719, 1618, 527, 279, 6170, 505, 20611, 24217, 11919, 13585, 51623, 512, 13396, 964, 473, 34993, 25, 1102, 1373, 2731, 1109, 433, 35408, 64461, 420, 574, 539, 38481, 622, 485, 278, 24315, 12474, 87068, 4545, 627, 45, 33004, 78725, 715, 25, 578, 9889, 574, 539, 43660, 627, 15594, 14344, 735, 5726, 9331, 1428, 45368, 25, 622, 485, 278, 3287, 16485, 617, 264, 6140, 627, 41, 52, 1111, 29015, 40, 44421, 25, 9576, 819, 627, 2688, 1193, 1550, 7250, 3136, 311, 15196, 304, 813, 3560, 439, 4900, 719, 568, 1120, 2231, 5270, 389, 813, 1203, 323, 5270, 13452, 279, 1648, 430, 11321, 13, 2030, 1101, 279, 13063, 555, 14691, 311, 4465, 420, 24151, 323, 38643, 16026, 369, 7250, 596, 8060, 323, 8617, 5270, 596, 26564, 321, 554, 11, 439, 3970, 1555, 622, 485, 278, 596, 6170, 11, 1193, 9731, 311, 3219, 279, 18598, 810, 47166, 627, 10156, 3782, 4028, 6941, 79561, 596, 18149, 389, 622, 485, 278, 596, 10535, 6170, 512, 6486, 7635, 78687, 4012, 50, 25, 69149, 11, 539, 779, 1664, 13, 1472, 1440, 11, 358, 1781, 38481, 622, 485, 278, 374, 264, 1633, 26455, 37038, 11, 323, 358, 34134, 279, 39535, 1606, 358, 3463, 433, 574, 31555, 39056, 13, 2030, 311, 2586, 709, 520, 420, 4545, 304, 3925, 449, 264, 51451, 330, 87863, 374, 279, 3575, 1359, 330, 906, 649, 956, 7095, 279, 6918, 3109, 1, 482, 433, 596, 1120, 264, 21426, 369, 279, 9540, 8722, 13, 578, 3224, 374, 304, 264, 22743, 1314, 1457, 13, 2435, 1253, 539, 1093, 279, 1648, 279, 12643, 617, 5946, 279, 39535, 4121, 11, 719, 430, 4623, 430, 584, 2351, 1120, 16926, 482, 430, 3109, 374, 2133, 311, 617, 912, 3560, 11, 279, 6918, 3109, 706, 912, 3560, 304, 420, 11, 430, 482, 763, 264, 4545, 994, 1193, 279, 6918, 3109, 374, 3604, 2466, 3403, 311, 656, 6392, 11, 311, 1120, 10240, 682, 430, 323, 1120, 2019, 330, 87863, 374, 279, 3575, 11, 21948, 11, 96208, 7341, 11, 41421, 52221, 10374, 1359, 433, 596, 1120, 264, 1376, 315, 99172, 2191, 13, 1102, 596, 1120, 539, 1405, 279, 3224, 374, 11, 433, 596, 539, 1405, 279, 3938, 315, 279, 3224, 374, 13, 2684, 596, 459, 50938, 12, 69555, 11249, 13, 4427, 1274, 2019, 279, 9540, 8722, 5675, 1202, 1648, 1606, 814, 2751, 2288, 24070, 13, 4427, 1274, 2019, 814, 2751, 2288, 16682, 477, 2288, 15692, 13, 1283, 15849, 814, 2751, 2288, 24070, 11, 323, 779, 568, 596, 3339, 430, 1162, 13, 358, 1781, 433, 596, 35118, 11, 323, 358, 1120, 1781, 433, 596, 264, 21426, 369, 279, 4717, 13, 358, 1120, 1781, 433, 596, 34707, 1314, 1457, 627, 2437, 12, 914, 12, 1049, 24, 11, 220, 2318, 25, 4331, 6912, 674, 17, 198, 697, 25, 7250, 482, 622, 485, 278, 198, 42575, 527, 779, 3958, 430, 499, 617, 311, 1427, 520, 1148, 8982, 16483, 1781, 5380, 2170, 16431, 14618, 704, 304, 2500, 4617, 11, 499, 2351, 810, 18290, 922, 1742, 927, 20278, 627, 2409, 10845, 268, 596, 274, 92497, 287, 3021, 31017, 16038, 11, 2225, 44440, 1051, 5128, 32161, 627, 45437, 11, 439, 2744, 574, 264, 2294, 19114, 11, 719, 813, 3575, 574, 20278, 13, 1283, 282, 26902, 389, 1403, 1401, 3585, 1198, 813, 32795, 729, 950, 1486, 922, 97330, 9572, 323, 1268, 568, 574, 2133, 311, 2343, 369, 682, 315, 279, 6787, 13, 2057, 2019, 584, 690, 1505, 264, 27208, 369, 9572, 5039, 15400, 83843, 323, 264, 6996, 315, 6677, 315, 1148, 9572, 3604, 374, 13, 72131, 11, 555, 5042, 5605, 568, 574, 2133, 311, 22472, 3827, 18808, 369, 279, 1948, 220, 17, 4, 315, 19602, 97063, 323, 22472, 4376, 279, 29287, 555, 279, 842, 315, 374, 1176, 4751, 44204, 3371, 279, 4459, 3446, 13, 13266, 5219, 656, 539, 1524, 2586, 3345, 311, 7999, 709, 13, 432, 51226, 13426, 11093, 449, 279, 10374, 568, 374, 57515, 73115, 3109, 13254, 13, 578, 1486, 568, 2163, 704, 574, 2867, 1198, 568, 374, 323, 690, 4933, 682, 3169, 315, 13426, 3131, 420, 39621, 374, 2884, 627, 36328, 473, 3972, 574, 5710, 389, 922, 622, 485, 278, 1198, 2294, 389, 5684, 11, 719, 49101, 15864, 13, 578, 2077, 11, 912, 5030, 1148, 4717, 374, 304, 2410, 11, 374, 2744, 520, 264, 49836, 323, 433, 48707, 1520, 4205, 430, 622, 485, 278, 574, 33341, 323, 9508, 1633, 23418, 64116, 25, 1115, 1772, 1253, 6782, 3769, 15538, 311, 1884, 889, 6996, 38467, 11, 28485, 11, 4279, 5647, 323, 5255, 12899, 61001, 477, 50750, 2426, 6029, 13, 2052, 12518, 323, 55936, 13282, 36881, 1253, 387, 3917, 311, 32465, 7766, 539, 7347, 311, 25, 51705, 11, 46450, 11, 682, 7713, 323, 77315, 79866, 10753, 627, 2437, 12, 914, 12, 1049, 24, 11, 220, 806, 25, 2318, 6912, 674, 18, 198, 697, 25, 7250, 482, 622, 485, 278, 198, 38, 36749, 2643, 1390, 311, 3868, 3156, 1274, 1047, 892, 311, 21552, 1148, 7250, 1071, 1603, 568, 1654, 278, 1171, 279, 3814, 264, 2450, 627, 4897, 596, 1148, 499, 636, 994, 499, 1193, 9020, 311, 20352, 323, 872, 28495, 4879, 311, 16292, 279, 3814, 264, 3243, 11, 3515, 311, 733, 1505, 8982, 16483, 4619, 315, 11969, 311, 3041, 279, 57949, 709, 311, 7250, 596, 4339, 1566, 3814, 627, 3915, 279, 10314, 25, 330, 19931, 82, 11299, 389, 8079, 389, 41698, 4900, 24448, 7250, 3984, 2478, 502, 43775, 922, 1268, 813, 8735, 1053, 31284, 709, 279, 8752, 304, 264, 3682, 8982, 1603, 8151, 10246, 22105, 320, 438, 23127, 11, 369, 856, 220, 10841, 74, 596, 25491, 8, 832, 315, 813, 47682, 552, 690, 2586, 704, 323, 3009, 449, 1521, 46089, 21237, 922, 279, 8752, 323, 3604, 2019, 2555, 430, 3727, 5647, 311, 9935, 6825, 13, 7250, 1935, 5296, 1198, 279, 11380, 1938, 374, 539, 927, 779, 4587, 1304, 420, 1314, 64116, 25, 1115, 1772, 1253, 6782, 3769, 15538, 311, 1884, 889, 6996, 38467, 11, 28485, 11, 4279, 5647, 323, 5255, 12899, 61001, 477, 50750, 2426, 6029, 13, 2052, 12518, 323, 55936, 13282, 36881, 1253, 387, 3917, 311, 32465, 7766, 539, 7347, 311, 25, 51705, 11, 46450, 11, 682, 7713, 323, 77315, 79866, 10753, 627, 2437, 12, 914, 12, 1049, 24, 11, 220, 717, 25, 2839, 5975, 674, 19, 198, 697, 25, 7250, 482, 622, 485, 278, 198, 5519, 499, 2216, 1781, 430, 422, 7250, 3463, 433, 574, 3062, 3403, 311, 37663, 704, 2500, 220, 17, 12, 18, 4, 8895, 3432, 430, 568, 1053, 39332, 264, 1984, 430, 1436, 1069, 630, 304, 430, 11827, 30, 8155, 3814, 574, 1790, 11493, 1109, 430, 323, 7250, 706, 11510, 315, 1274, 568, 649, 37604, 704, 311, 279, 586, 8071, 323, 26085, 27152, 459, 26921, 423, 3387, 53226, 8982, 994, 568, 3966, 433, 627, 791, 8206, 374, 1566, 3814, 11, 323, 358, 617, 6818, 311, 6782, 856, 36232, 369, 279, 4754, 315, 279, 1828, 220, 23, 1667, 11, 6688, 603, 264, 40942, 315, 2555, 8294, 1109, 584, 11, 520, 3325, 304, 856, 19569, 11, 617, 3970, 13, 1102, 35710, 757, 315, 10307, 36845, 35848, 19868, 430, 220, 508, 4579, 91434, 389, 279, 220, 972, 339, 14512, 1667, 4227, 311, 3243, 832, 315, 813, 549, 815, 13, 39083, 48854, 13, 1472, 7020, 2555, 8294, 1109, 2324, 574, 304, 430, 91434, 323, 574, 304, 279, 2322, 11489, 430, 433, 3952, 311, 1304, 430, 91434, 627, 40, 5602, 304, 78267, 596, 6548, 11, 386, 641, 467, 596, 6548, 323, 1524, 60080, 596, 323, 38180, 596, 13, 4314, 4279, 29036, 1440, 814, 1051, 323, 527, 24059, 2555, 11493, 1109, 5694, 13, 7250, 706, 279, 5845, 311, 539, 1193, 387, 264, 2294, 37038, 719, 706, 279, 4754, 311, 84375, 1148, 433, 374, 311, 387, 264, 37038, 627, 2746, 499, 3287, 956, 1518, 430, 1566, 3814, 11, 499, 1051, 2288, 11920, 922, 36249, 287, 701, 7075, 5708, 48087, 779, 430, 499, 1436, 4068, 6288, 389, 3432, 596, 28174, 627, 45437, 98953, 20158, 311, 622, 485, 278, 1120, 1903, 433, 1524, 49479, 311, 757, 323, 1455, 3885, 2737, 1690, 389, 279, 1314, 13, 7250, 374, 264, 14880, 994, 433, 4131, 311, 11759, 323, 499, 649, 3136, 449, 279, 1742, 927, 20278, 26964, 323, 47729, 9013, 389, 279, 423, 3387, 439, 264, 19179, 315, 813, 32858, 719, 430, 374, 2216, 3411, 2678, 1521, 2919, 719, 1243, 1578, 279, 91536, 9309, 374, 10671, 9333, 323, 9333, 449, 1855, 12579, 1938, 627, 2437, 12, 914, 12, 1049, 24, 11, 220, 717, 25, 1691, 5975, 674, 20, 198, 697, 25, 7250, 482, 622, 485, 278, 198, 46, 88, 13, 816, 723, 64, 379, 723, 64, 379, 723, 64, 627, 81655, 315, 1529, 1894, 11, 1120, 1093, 7250, 596, 8982, 627, 1, 39115, 369, 279, 3938, 1, 44204, 5155, 856, 220, 10841, 74, 13, 358, 15890, 2512, 889, 433, 374, 304, 5274, 11, 358, 1120, 1390, 279, 3575, 8521, 627, 10156, 1606, 499, 2751, 459, 7250, 2653, 10539, 1566, 3814, 44204, 3152, 279, 2800, 315, 279, 3224, 574, 12096, 433, 13, 15334, 1051, 279, 832, 4371, 402, 1113, 555, 279, 6500, 11, 3515, 1772, 430, 41902, 922, 1268, 682, 1521, 8982, 16483, 10456, 433, 323, 539, 7231, 2539, 17637, 311, 279, 13585, 13941, 13, 1472, 1253, 1390, 311, 4600, 701, 1772, 922, 1148, 814, 1071, 922, 7250, 2533, 499, 2873, 311, 1579, 389, 270, 1291, 18463, 1198, 1578, 11, 1742, 927, 20278, 627, 2822, 5030, 279, 1396, 315, 8158, 430, 1208, 664, 7250, 323, 813, 4754, 11 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 45, 1900, 763, 45020, 25, 578, 4470, 2630, 198, 1383, 35727, 6342, 32633, 423, 773, 412, 13207, 30504, 198, 1956, 25, 2947, 220, 1313, 11, 220, 1049, 20, 198, 644, 279, 11999, 961, 315, 264, 4330, 29137, 4101, 11, 32633, 423, 773, 412, 596, 1317, 547, 1398, 981, 22842, 1935, 264, 1427, 520, 279, 67437, 388, 323, 6835, 499, 813, 1935, 389, 1148, 814, 4070, 2884, 323, 1148, 814, 2643, 656, 304, 420, 5108, 3280, 627, 791, 26036, 10068, 706, 1027, 264, 11745, 315, 7878, 3805, 369, 420, 19562, 13, 1789, 459, 7471, 28031, 728, 315, 2225, 2410, 323, 30401, 433, 753, 1027, 264, 4322, 311, 3821, 264, 10585, 889, 50326, 2225, 13, 5414, 60112, 753, 69477, 323, 4519, 264, 711, 83, 56520, 5737, 1176, 2385, 439, 1664, 439, 264, 3831, 323, 25114, 13687, 6916, 505, 3060, 315, 279, 67437, 10093, 13, 1115, 9327, 1524, 48018, 311, 279, 12235, 1051, 279, 4846, 9784, 480, 859, 374, 3604, 264, 2697, 2731, 315, 264, 72407, 19579, 2163, 25417, 388, 1109, 1314, 25417, 388, 13, 5659, 279, 15538, 3185, 279, 62191, 2873, 55274, 315, 20806, 1461, 3063, 12744, 719, 994, 499, 1427, 520, 813, 5219, 505, 1566, 3280, 433, 753, 2867, 430, 753, 1405, 568, 17623, 13, 362, 662, 15537, 5578, 3250, 1431, 2873, 430, 67479, 719, 813, 507, 27187, 574, 264, 1633, 16358, 662, 18781, 13, 3061, 14380, 315, 2410, 67126, 682, 7359, 1139, 35090, 568, 2643, 832, 1938, 4295, 220, 1272, 98698, 323, 1566, 3280, 753, 7076, 1579, 315, 220, 843, 294, 14437, 13533, 433, 753, 45054, 323, 60525, 369, 279, 220, 1544, 1060, 2362, 13, 36478, 11934, 617, 1027, 264, 3575, 304, 279, 3347, 719, 279, 1695, 17201, 1026, 279, 3958, 13, 1666, 264, 68232, 2144, 5296, 430, 10785, 74, 1293, 16180, 311, 4295, 279, 84086, 779, 3821, 369, 430, 420, 14827, 3280, 323, 23127, 1690, 627, 791, 3488, 449, 74738, 268, 753, 912, 5129, 389, 279, 2115, 439, 433, 574, 304, 279, 4330, 4771, 9575, 505, 18217, 3264, 12, 2839, 994, 264, 3131, 26455, 1212, 304, 28627, 9508, 15187, 74544, 1384, 1003, 304, 25098, 4309, 488, 13, 5112, 55908, 19722, 11641, 18943, 5294, 6688, 1461, 2500, 6140, 304, 18217, 2839, 323, 74738, 268, 8621, 813, 1888, 5219, 311, 2457, 449, 264, 220, 16, 13, 15901, 83955, 15662, 304, 220, 15189, 520, 1481, 1900, 1603, 1694, 27023, 1523, 279, 14841, 311, 279, 687, 2518, 30781, 362, 753, 13, 578, 2800, 315, 279, 3778, 9130, 4410, 10791, 813, 1180, 430, 7474, 323, 279, 43145, 1051, 25408, 3403, 311, 3085, 1461, 264, 1403, 1060, 60821, 13, 20696, 9922, 1664, 389, 279, 19001, 4156, 439, 11097, 574, 20129, 3345, 311, 662, 3101, 323, 1776, 36368, 3345, 311, 662, 2636, 11, 662, 17168, 323, 662, 22640, 15947, 311, 387, 4839, 11, 719, 4920, 8036, 14365, 1070, 574, 1063, 8798, 1990, 1461, 323, 43145, 529, 6783, 11519, 2522, 3614, 25088, 13, 1102, 5616, 42423, 927, 304, 279, 8798, 315, 264, 44049, 519, 7102, 994, 74738, 268, 55841, 87625, 311, 1694, 13541, 369, 264, 50346, 23055, 323, 264, 1695, 2926, 3280, 304, 72264, 574, 22552, 85073, 13, 578, 43145, 1051, 779, 33630, 449, 279, 23944, 67437, 261, 430, 814, 5268, 311, 1514, 2085, 1461, 304, 279, 31855, 13, 18943, 5294, 2795, 568, 7070, 7095, 74738, 268, 449, 813, 2911, 719, 1314, 1457, 433, 753, 279, 5133, 449, 279, 40712, 88, 9454, 28280, 430, 690, 8417, 3508, 420, 9526, 9221, 264, 2450, 13, 578, 5960, 35218, 677, 278, 10068, 374, 27220, 323, 8617, 5992, 311, 387, 264, 3221, 5409, 311, 4295, 662, 3101, 323, 220, 966, 98698, 323, 813, 12235, 30401, 4536, 1431, 1790, 315, 264, 35460, 719, 6463, 374, 433, 264, 75379, 13, 5414, 6916, 374, 7170, 95675, 719, 1093, 279, 2362, 1314, 2115, 261, 369, 420, 7471, 11, 36011, 98836, 11, 17444, 7636, 649, 7170, 934, 616, 904, 4754, 709, 6091, 826, 389, 279, 23963, 198, 52502, 28226, 328, 4995, 14, 3812, 88, 77341, 198, 2746, 499, 1833, 477, 527, 922, 311, 1833, 420, 2128, 499, 4805, 1440, 3249, 358, 49629, 291, 1521, 7752, 3871, 13, 1102, 706, 311, 656, 449, 279, 47766, 5912, 7858, 2163, 304, 279, 67437, 323, 1120, 889, 4805, 3243, 430, 8209, 13, 3861, 315, 279, 8706, 57700, 311, 34044, 505, 4967, 3190, 304, 650, 26919, 374, 3249, 279, 1176, 7564, 3250, 1431, 636, 810, 5201, 323, 3249, 279, 15629, 374, 65206, 291, 304, 279, 3663, 315, 6062, 22798, 29564, 828, 311, 1862, 279, 14329, 13, 18122, 28226, 6051, 6656, 220, 1591, 779, 568, 4536, 1431, 7878, 17011, 304, 20075, 3878, 719, 568, 706, 4295, 520, 682, 5990, 323, 279, 1566, 892, 358, 7111, 279, 62191, 1051, 264, 2128, 430, 1436, 1005, 17193, 13, 1628, 2728, 433, 574, 813, 1176, 3280, 4754, 6866, 315, 18899, 5304, 813, 31625, 5219, 315, 662, 17014, 323, 662, 20911, 507, 27187, 323, 17216, 38, 15947, 13, 1442, 584, 8331, 568, 3940, 279, 3280, 304, 264, 220, 16, 14, 1958, 69392, 499, 4805, 1505, 813, 5219, 520, 662, 17408, 323, 662, 22054, 13, 83955, 374, 264, 11093, 19179, 315, 507, 27187, 5636, 17216, 38, 323, 18122, 28226, 753, 8581, 5219, 33505, 449, 39380, 389, 2385, 11, 662, 22614, 11, 323, 5423, 449, 39380, 304, 20413, 2361, 11, 220, 16, 13, 20063, 13, 1628, 2739, 86, 12201, 2834, 1431, 387, 3411, 927, 813, 17308, 30194, 5246, 304, 8850, 430, 328, 4995, 11894, 813, 7573, 25372, 588, 719, 18122, 28226, 374, 2103, 264, 2532, 481, 2163, 2115, 261, 13, 2030, 22978, 279, 4892, 13030, 10068, 505, 459, 18254, 2361, 374, 279, 90249, 92289, 430, 5900, 555, 279, 836, 315, 4060, 88, 77341, 13, 9454, 28280, 13452, 311, 3974, 304, 279, 3347, 323, 304, 264, 892, 994, 568, 574, 279, 11999, 1455, 63100, 92405, 359, 72407, 304, 20075, 323, 994, 499, 1436, 10150, 311, 617, 264, 4219, 2630, 261, 889, 7846, 1431, 4295, 13, 77341, 11721, 304, 30613, 304, 18217, 2437, 323, 1903, 459, 14247, 5536, 719, 433, 753, 1027, 682, 73481, 2533, 13, 1102, 753, 4228, 311, 1518, 3249, 1063, 7411, 1053, 3041, 1461, 264, 6689, 2728, 568, 753, 2744, 4295, 369, 1579, 5578, 304, 279, 4827, 49640, 323, 568, 1436, 3131, 1935, 264, 4321, 439, 1664, 13, 362, 5743, 315, 15956, 20129, 927, 662, 10568, 1436, 18507, 264, 2763, 315, 7411, 323, 5423, 1884, 889, 4070, 2646, 5762, 12235, 26434, 520, 264, 1579, 5410, 13, 2030, 568, 753, 1317, 3719, 459, 96718, 13883, 55222, 13, 2100, 8381, 4741, 311, 18217, 2304, 994, 9454, 323, 18943, 5294, 323, 5127, 775, 1518, 1148, 814, 1390, 311, 1518, 304, 77341, 439, 69457, 555, 3293, 6170, 505, 9454, 902, 31787, 279, 48416, 6844, 11722, 11843, 12351, 439, 3339, 5208, 1524, 3582, 568, 7070, 4529, 1120, 1403, 23291, 304, 220, 914, 12235, 27351, 13, 1102, 4536, 1431, 439, 1790, 430, 814, 1390, 1461, 311, 1514, 18254, 719, 814, 3207, 11075, 311, 1095, 279, 2128, 19868, 1418, 814, 1456, 323, 27442, 264, 93043, 31787, 1139, 279, 389, 31113, 14512, 315, 3063, 1885, 72407, 13, 1789, 1884, 430, 1390, 311, 1781, 6928, 11, 4060, 88, 706, 2646, 1027, 1790, 315, 264, 10683, 72407, 779, 1070, 753, 912, 2944, 369, 17035, 13, 1789, 1884, 430, 1390, 311, 1781, 89716, 568, 753, 2646, 1027, 1790, 315, 264, 5912, 3280, 72407, 3060, 13, 1283, 1587, 1501, 2294, 4732, 304, 279, 67437, 719, 568, 4536, 1431, 24765, 83596, 285, 3582, 568, 1587, 4295, 1093, 1461, 13, 578, 5435, 568, 11705, 369, 279, 220, 914, 893, 22162, 527, 95268, 13, 328, 4995, 2834, 1431, 636, 264, 6762, 27116, 1606, 814, 649, 1431, 1518, 77341, 369, 1148, 568, 374, 323, 10785, 74, 1293, 706, 1027, 459, 19310, 3063, 1885, 72407, 719, 814, 4805, 4585, 1461, 1203, 1523, 279, 2015, 1606, 315, 1148, 4060, 88, 753, 4732, 2643, 387, 3025, 311, 656, 709, 1948, 13, 5046, 3388, 912, 832, 753, 23130, 1176, 2385, 3686, 779, 3156, 814, 1304, 430, 5897, 584, 4805, 682, 7831, 627, 8161, 1431, 3371, 11641, 18943, 5294, 420, 719, 279, 1566, 892, 1070, 574, 23583, 2944, 311, 387, 12304, 922, 420, 7564, 574, 1203, 304, 18217, 410, 994, 568, 8710, 2410, 11, 662, 22184, 17216, 38, 11, 323, 30401, 11, 662, 18265, 507, 27187, 11, 439, 264, 220, 1313, 1060, 2362, 5737, 7238, 362, 304, 279, 57535, 1887, 13, 763, 1884, 2919, 15917, 32493, 574, 279, 27631, 66941, 315, 279, 1561, 4356, 7471, 719, 279, 1667, 430, 8272, 617, 1027, 79703, 449, 11134, 323, 1101, 41698, 389, 279, 9024, 25975, 15917, 32493, 1436, 1514, 389, 264, 13263, 8197, 13, 1102, 682, 3250, 1431, 617, 311, 387, 14015, 316, 323, 59714, 11, 3582, 11, 1606, 8683, 374, 2103, 1120, 220, 1627, 1667, 2362, 323, 1436, 1520, 420, 6469, 555, 19994, 1120, 9498, 3403, 304, 10683, 4967, 311, 8381, 264, 2697, 315, 813, 2362, 4754, 13, 3011, 5636, 279, 2144, 568, 649, 1514, 4219, 2630, 2643, 387, 3403, 311, 28008, 6652, 311, 2567, 1461, 439, 264, 16399, 14039, 323, 8617, 503, 7211, 3416, 77341, 13, 578, 62191, 1541, 1431, 617, 92000, 389, 279, 1314, 37240, 72407, 779, 430, 6835, 1461, 279, 4871, 3839, 369, 832, 315, 279, 13731, 19300, 627, 33117, 315, 17200, 3250, 1431, 18943, 5294, 2873, 1093, 43136, 13697, 1708, 17200, 449, 279, 1648, 568, 753, 779, 21901, 315, 8811, 18075, 323, 312, 34084, 7224, 30, 763, 420, 1120, 17562, 7636, 584, 4070, 9960, 279, 7170, 274, 42574, 11097, 74738, 268, 11, 8208, 1555, 279, 3925, 315, 279, 22313, 1870, 281, 2692, 15917, 32493, 323, 1457, 584, 3207, 311, 264, 7564, 889, 58046, 85201, 279, 53505, 369, 279, 1888, 961, 315, 8254, 1667, 13, 1442, 499, 11021, 1566, 1060, 753, 38258, 78915, 355, 499, 7070, 1505, 1124, 15182, 17200, 439, 264, 4754, 6453, 2902, 11073, 9322, 369, 31625, 315, 279, 1060, 13, 362, 4062, 5195, 2778, 706, 27290, 7231, 1461, 264, 6140, 311, 387, 459, 5536, 2851, 13, 1628, 433, 753, 2697, 5895, 2728, 1268, 1664, 279, 4846, 31487, 8244, 3820, 1550, 369, 279, 8857, 315, 813, 9099, 10966, 7076, 13, 2057, 38467, 11, 520, 279, 17051, 315, 220, 1419, 323, 220, 1187, 323, 5737, 304, 2033, 323, 24657, 362, 15947, 11, 17200, 8621, 1203, 311, 1203, 83955, 15785, 315, 662, 23873, 323, 662, 24542, 13, 2100, 1148, 7077, 389, 279, 1648, 311, 24421, 44058, 30, 8489, 430, 753, 1694, 83367, 292, 719, 1618, 753, 264, 13310, 439, 311, 3249, 17200, 753, 4754, 374, 2103, 653, 1285, 28611, 13, 47993, 420, 10683, 358, 574, 5403, 264, 3446, 9002, 813, 10683, 2450, 323, 279, 8149, 315, 813, 1510, 5357, 13, 1102, 10800, 704, 279, 63124, 574, 2728, 311, 279, 9546, 315, 813, 6691, 889, 32122, 304, 505, 9853, 12167, 311, 1304, 2771, 813, 2010, 574, 389, 7833, 13, 5810, 753, 279, 7564, 889, 1436, 387, 279, 8706, 13051, 315, 3190, 2728, 813, 94054, 13, 14077, 568, 753, 704, 315, 2671, 779, 279, 389, 355, 374, 389, 279, 62191, 311, 2567, 1461, 477, 3568, 1461, 3201, 369, 2500, 9513, 13, 2030, 433, 753, 682, 709, 311, 1461, 477, 7344, 1461, 323, 813, 6691, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 33, 867, 467, 39996, 58186, 36443, 473, 18177, 67365, 449, 16532, 946, 52, 220, 679, 15, 36526, 44845, 10009, 16218, 36526, 44845, 14, 3740, 16218, 11, 4291, 4884, 24, 11, 7320, 19033, 6973, 15549, 11, 30261, 38406, 277, 425, 58186, 88782, 501, 13991, 830, 29616, 4003, 916, 35645, 39, 18177, 11, 679, 15, 21861, 4594, 946, 52, 15381, 59724, 24766, 1174, 47312, 27399, 44639, 1411, 87814, 467, 39996, 58186, 36443, 473, 18177, 67365, 449, 16532, 946, 52, 220, 679, 15, 36526, 44845, 10009, 16218, 36526, 44845, 14, 3740, 16218, 11, 4291, 4884, 24, 11, 7320, 19033, 6973, 15549, 11, 30261, 38406, 277, 425, 58186, 88782, 501, 13991, 830, 29616, 4003, 916, 35645, 39, 18177, 11, 679, 15, 21861, 4594, 946, 52, 15381, 59724, 24766, 1174, 47312, 27399, 44639, 1411, 400, 24, 39996, 58186, 36443, 473, 18177, 67365, 449, 16532, 946, 52, 36526, 44845, 14, 3740, 16218, 220, 679, 15, 55518, 47312, 27399, 400, 24, 39996, 58186, 36443, 473, 18177, 67365, 449, 16532, 946, 52, 36526, 44845, 14, 3740, 16218, 220, 679, 15, 55518, 47312, 27399, 198, 45030, 425, 58186, 36443, 473, 18177, 67365, 449, 16532, 946, 52, 36526, 44845, 14, 3740, 16218, 220, 679, 15, 198, 45030, 425, 58186, 36443, 473, 18177, 67365, 449, 16532, 946, 52, 36526, 44845, 14, 3740, 16218, 220, 679, 15, 198, 2028, 18809, 701, 198, 45030, 425, 58186, 36443, 473, 18177, 374, 459, 17049, 14039, 2027, 369, 701, 35093, 3966, 26, 28648, 304, 18859, 311, 5064, 10886, 311, 6106, 2027, 39665, 323, 31638, 13, 2052, 39996, 58186, 3956, 527, 9960, 555, 220, 16, 71998, 220, 16, 4771, 11, 27862, 50952, 39996, 58186, 57629, 627, 57, 42, 4178, 69333, 480, 51952, 11, 67828, 2360, 2009, 1802, 75800, 480, 51952, 369, 2467, 84707, 1534, 12761, 198, 1962, 763, 578, 198, 438, 12062, 220, 679, 23, 358, 719, 51762, 25, 5766, 3966, 44276, 1820, 574, 198, 20981, 59338, 23152, 7923, 3271, 1028, 2350, 14739, 2136, 459, 7701, 220, 679, 15, 220, 22, 473, 18177, 220, 868, 4, 1391, 13900, 2678, 36947, 198, 28629, 36449, 1705, 1511, 25616, 198, 10714, 11113, 9062, 198, 331, 5795, 15150, 5858, 198, 45, 477, 85364, 6144, 519, 2349, 627, 54310, 6425, 2027, 13, 21266, 198, 54, 1003, 36526, 44845, 1442, 18718, 2136, 315, 59124, 5066, 3639, 198, 22427, 3271, 1115, 636, 1109, 6883, 36443, 12793, 555, 369, 810, 7118, 337, 1952, 66106, 12, 11087, 198, 33, 589, 779, 5246, 12208, 89, 9355, 1093, 2349, 18905, 2740, 4251, 198, 11180, 304, 921, 5795, 2873, 9099, 198, 51, 686, 30800, 482, 649, 6144, 264, 507, 396, 479, 198, 10031, 8595, 5464, 21266, 656, 57342, 6811, 198, 82, 39718, 13, 26541, 422, 25795, 1069, 20659, 12477, 439, 98026, 3861, 60483, 198, 10031, 701, 97420, 198, 44259, 60483, 6380, 3297, 14290, 198, 61524, 3263, 27236, 1322, 52267, 5492, 5178, 13, 9235, 2136, 1903, 872, 2204, 1933, 36947, 198, 14704, 54268, 12932, 24702, 4212, 198, 3915, 8779, 7958, 96499, 19486, 16614, 31010, 311, 60483, 198, 1548, 6260, 65822, 1304, 7138, 2561, 14114, 198, 83, 51725, 8828, 23598, 26, 220, 679, 24, 198, 44, 699, 56227, 12761, 198, 24741, 60394, 902, 5492, 198, 1668, 22443, 1005, 7296, 198, 1557, 21854, 507, 396, 479, 10009, 16218, 9041, 96075, 6324, 8945, 596, 57342, 5380, 30261, 3958, 7718, 198, 404, 1018, 811, 13, 1475, 220, 5926, 15, 596, 61485, 22012, 3158, 7447, 59338, 16532, 946, 52, 4787, 13, 70432, 39996, 58186, 27656, 31922, 198, 14809, 12054, 3177, 4322, 27661, 279, 1443, 48695, 198, 37282, 11699, 2512, 5916, 13, 36704, 627, 29146, 40335, 2579, 2136, 28566, 1879, 198, 959, 552, 220, 16, 856, 198, 60860, 60611, 13, 1952, 66106, 12, 11087, 198, 22427, 3271, 84971, 520, 4367, 2027, 198, 38128, 27339, 13723, 13, 57342, 13, 4113, 1949, 198, 100192, 24507, 1176, 49741, 445, 1894, 198, 359, 5118, 989, 1690, 51715, 579, 52239, 198, 14404, 5016, 76853, 51715, 579, 198, 331, 2642, 287, 1344, 1802, 662, 1758, 8945, 2650, 8945, 753, 23815, 1366, 269, 198, 14235, 261, 449, 21986, 3639, 596, 28682, 1893, 1101, 11951, 499, 12660, 433, 3966, 13, 17033, 4245, 3881, 8369, 430, 1404, 527, 4096, 198, 4054, 220, 22, 35757, 21512, 288, 1789, 198, 1688, 12362, 11349, 5938, 29219, 12195, 53166, 5493, 627, 99654, 220, 966, 3766, 3966, 25, 55061, 288, 362, 198, 58351, 30349, 5334, 36301, 198, 10816, 28049, 66839, 1520, 297, 396, 479, 423, 28609, 198, 22427, 3271, 1587, 709, 810, 920, 9188, 27375, 198, 73140, 387, 3562, 7524, 3970, 34, 5408, 596, 21266, 11617, 61573, 291, 356, 1386, 328, 26246, 320, 21, 14114, 8, 5561, 11344, 220, 21, 46701, 2027, 13, 43496, 449, 18809, 279, 423, 1863, 984, 16124, 13, 7384, 13, 10166, 36526, 44845, 220, 679, 24, 10009, 16218, 1556, 22612, 950, 220, 19, 13, 966, 198, 2028, 39996, 58186, 220, 2491, 35757, 36443, 1888, 19960, 701, 5578, 6883, 1646, 80282, 6930, 15130, 3152, 67365, 264, 44701, 627, 10692, 220, 17, 13, 435, 10754, 11010, 10062, 554, 86185, 198, 4921, 1561, 473, 18177, 3823, 315, 16532, 946, 52, 5008, 220, 966, 33844, 1404, 13, 3974, 220, 679, 15, 4096, 198, 12243, 12589, 220, 16, 25, 5744, 42896, 11162, 25744, 220, 3076, 13, 17, 9847, 44, 220, 20, 13, 845, 54, 220, 717, 53, 220, 1490, 87, 1490, 87, 914, 13, 19, 6395, 14, 10155, 11, 320, 31784, 315, 220, 605, 2432, 412, 58586, 1578, 627, 83553, 13, 5751, 32625, 2467, 41918, 2587, 58586, 4301, 1101, 16146, 988, 5684, 8831, 892, 70840, 5560, 19672, 7029, 32625, 198, 30138, 946, 52, 1701, 15135, 6425, 34537, 6638, 4460, 26, 5064, 5423, 198, 7993, 4018, 682, 220, 679, 15, 7626, 3085, 3115, 8333, 13, 449, 5644, 1404, 3956, 8522, 14713, 14956, 10824, 304, 13, 25187, 9187, 1695, 36693, 388, 7108, 198, 975, 35757, 68386, 527, 1405, 11774, 1690, 8779, 9309, 2035, 1093, 5234, 6964, 8294, 12195, 9501, 369, 198, 7908, 425, 422, 77556, 832, 17401, 30164, 10168, 49484, 584, 24601, 20958, 34739, 198, 67085, 473, 18177, 10009, 16218, 323, 10374, 32628, 627, 2414, 423, 18835, 701, 37581, 2447, 220, 15, 13, 18887, 17139, 58586, 30, 4519, 23391, 311, 4314, 14290, 198, 65339, 287, 430, 1893, 7479, 26333, 13957, 13, 28473, 2682, 59251, 420, 1920, 627, 64, 597, 3017, 15062, 1226, 1499, 3418, 97342, 53560, 86185, 994, 3544, 1633, 617, 10728, 11314, 8574, 779, 12660, 8108, 36526, 44845, 220, 16, 13, 20, 549, 265, 86185, 6727, 7878, 18724, 627, 4921, 39996, 58186, 21988, 24950, 2849, 198, 5391, 4662, 4375, 9499, 72908, 10640, 287, 24306, 649, 220, 18, 44, 29409, 29034, 7147, 2033, 499, 315, 2204, 2631, 45166, 4819, 27529, 13, 67365, 33483, 198, 32676, 389, 304, 7410, 220, 16, 28362, 10640, 12314, 56395, 20438, 65558, 12562, 13, 1022, 16237, 3623, 660, 9176, 4206, 16237, 1115, 1403, 198, 13074, 17, 2815, 43321, 3300, 52796, 1243, 27203, 836, 7426, 198, 15, 13, 23, 1920, 5370, 198, 2656, 1579, 5594, 18323, 800, 65344, 4737, 5764, 6144, 1105, 198, 2028, 53319, 8522, 198, 84556, 13, 9244, 18955, 16614, 48913, 198, 843, 18809, 662, 7504, 2410, 13, 27883, 11886, 21483, 39950, 1908, 28598, 40428, 26, 5825, 1920, 13, 63603, 11049, 19071, 100227, 13, 80180, 627, 9368, 291, 2561, 892, 1355, 46851, 4689, 20472, 13, 20472, 69971, 627, 265, 1072, 1634, 387, 8574, 43321, 279, 19294, 554, 86185, 27529, 198, 3725, 961, 482, 24537, 198, 329, 59738, 22514, 2815, 43321, 1303, 49482, 1139, 13957, 627, 21822, 3805, 58586, 627, 32056, 4907, 892, 1890, 5178, 7417, 28648, 33251, 198, 417, 4011, 578, 865, 13957, 198, 582, 44280, 8853, 36236, 1664, 1205, 1005, 3296, 12992, 22484, 1766, 520, 220, 18, 690, 41369, 729, 12434, 628, 3864, 32406, 5873, 40852, 14295, 709, 4619, 1578, 3235, 439, 1825, 2536, 54920, 9168, 1990, 1825, 33001, 7543, 24537, 706, 6302, 627, 391, 3523, 8356, 555, 4018, 11934, 4060, 1711, 4595, 13, 4632, 8246, 459, 18667, 6307, 12589, 512, 21470, 8333, 1102, 19303, 65558, 13, 7878, 18724, 198, 53980, 37182, 9250, 15246, 16489, 38193, 24537, 287, 198, 5242, 13076, 8205, 198, 375, 301, 90724, 374, 30084, 13, 27529, 9653, 198, 72979, 12673, 13, 904, 7491, 36693, 388, 13, 14620, 198, 18, 44, 6319, 50284, 763, 42408, 92126, 1057, 1450, 8244, 220, 1041, 8795, 5739, 1570, 10180, 1520, 2763, 3156, 32302, 34739, 7238, 82987, 477, 872, 26965, 481, 4676, 13, 1887, 49527, 220, 8610, 59572, 11630, 505, 3331, 1317, 9860, 902, 3831, 12562, 1455, 24461, 2804, 2225, 41687, 1789, 220, 6849, 32037, 15690, 69996, 11951, 1579, 198, 43, 1463, 77, 17, 6771, 33678, 17323, 12186, 4328, 369, 65119, 6771, 89054, 4606, 64, 4599, 7865, 1236, 1009, 7252, 21335, 4967, 7963, 311, 9785, 20902, 5679, 27220, 61433, 13, 389, 527, 1436, 499, 7479, 690, 220, 966, 12, 1399, 4984, 2314, 30394, 1260, 5133, 6896, 19332, 16628, 10009, 16218, 10882, 6373, 5933, 4520, 701, 198, 4921, 28822, 15526, 1855, 67365, 14588, 3953, 37433, 7095, 2678, 38626, 4096, 198, 8284, 59408, 14668, 6914, 1063, 315, 1862, 499, 13, 36443, 449, 7410, 22837, 1304, 264, 220, 679, 15, 18547, 25152, 5679, 5253, 6539, 5679, 596, 51825, 810, 22068, 39996, 58186, 1847, 4718, 40652, 22331, 23556, 1633, 25352, 18187, 13241, 13, 473, 18177, 29160, 4228, 1102, 12875, 15767, 3104, 555, 3161, 23506, 13, 5560, 2523, 53406, 42200, 539, 4701, 2542, 344, 578, 75477, 3217, 323, 279, 220, 868, 293, 34552, 1450, 11112, 16532, 946, 52, 6276, 1555, 374, 18955, 39525, 90965, 11699, 36526, 44845, 25768, 12192, 420, 3021, 71771, 1027, 1920, 8987, 1095, 198, 2028, 10441, 25, 13957, 3815, 67632, 6220, 617, 220, 605, 35757, 8830, 1115, 763, 12875, 1520, 3544, 477, 78154, 37433, 388, 52972, 16166, 18809, 8108, 11850, 1028, 2350, 19407, 5843, 47132, 13, 90926, 18885, 15998, 11886, 328, 593, 29200, 369, 29869, 649, 6089, 4785, 892, 423, 18835, 4335, 627, 1395, 27899, 9558, 11, 9576, 19220, 9558, 11, 800, 1334, 15128, 19721, 9558, 11, 19984, 444, 88, 2394, 17, 13, 2371, 17418, 289, 564, 58832, 13, 10882, 39996, 58186, 68963, 198, 13721, 25, 47759, 33218, 627, 972, 35757, 19730, 449, 2671, 311, 53188, 17308, 13, 60594, 627, 30261, 32599, 473, 18177, 7410, 85506, 27220, 701, 220, 20, 13, 17, 18012, 26, 36301, 3160, 13, 2467, 6881, 67828, 20407, 20994, 45558, 44842, 481, 198, 33189, 10009, 16218, 67365, 779, 1404, 18711, 13, 323, 33218, 627, 30989, 8356, 9249, 505, 198, 4921, 369, 4096, 198, 2059, 3153, 5234, 389, 10166, 8352, 25650, 25, 38895, 36526, 44845, 36443, 389, 13, 220, 679, 15, 35578, 992, 59416, 20055, 2955, 6515, 35415, 45166, 4367, 499, 13, 682, 16532, 946, 52, 86346, 17560, 60413, 1130, 273, 54, 57, 7585, 14881, 11033, 46641, 79350, 14881, 52882, 69600, 3165, 292, 478, 2689, 627, 7850, 67365, 315, 77111, 3919, 23485, 10009, 16218, 389, 2294, 387, 439, 636, 856, 14115, 13, 649, 39577, 279, 1023, 449, 36526, 44845, 7515, 1974, 3339, 52786, 40714, 20841, 627, 51, 11407, 15553, 21266, 1903, 17639, 18866, 2933, 350, 81661, 91853, 10441, 25, 31998, 33711, 1167, 31215, 689, 4076, 25, 18091, 56, 220, 966, 23598, 26, 8722, 323, 2162, 8146, 13991, 1216, 4832, 3749, 48471, 220, 21, 350, 11407, 220, 679, 15, 473, 18177, 198, 4921, 1120, 4096, 198, 16621, 278, 1933, 374, 36443, 14150, 13, 32558, 47856, 3562, 25, 35637, 2204, 1115, 220, 21, 35757, 20841, 21363, 80074, 527, 690, 91135, 7350, 627, 17794, 25, 13306, 4717, 1102, 20438, 259, 81661, 369, 1628, 24206, 51352, 433, 13124, 259, 81661, 627, 791, 16064, 71399, 12920, 264, 39554, 9986, 6307, 198, 2675, 369, 25, 27601, 7113, 701, 59103, 39996, 58186, 505, 6437, 430, 18343, 5684, 42840, 304, 6381, 311, 5761, 18410, 25, 966, 477, 4078, 25, 34057, 17333, 25, 3506, 1285, 16532, 946, 52, 49682, 4228, 1511, 350, 395, 2053, 6305, 8945, 78184, 15193, 259, 395, 2053, 856, 14115, 627, 51, 11407, 6761, 28192, 329, 361, 8868, 79000, 17863, 62368, 53909, 11, 17863, 3805, 76749, 18714, 762, 4789, 198, 47716, 9705, 2955, 6739, 6354, 3550, 198, 414, 389, 3780, 65184, 5268, 8868, 24749, 505, 13, 19665, 1203, 6380, 1139, 279, 1579, 41327, 198, 83380, 15062, 220, 24, 35757, 198, 2356, 1894, 8886, 36516, 95113, 6981, 13, 10604, 1628, 4321, 13194, 17069, 11829, 31467, 36526, 44845, 3956, 1511, 69124, 1260, 2853, 67365, 6211, 4848, 374, 1450, 13, 32418, 323, 6562, 449, 8162, 84045, 13, 83212, 1236, 295, 358, 2733, 14918, 3494, 39996, 58186, 20247, 1933, 4367, 18012, 198, 34174, 220, 966, 7891, 198, 4921, 15447, 6764, 4832, 627, 26747, 31298, 38984, 21882, 198, 23581, 5178, 11829, 5052, 2345, 1949, 10009, 16218, 20185, 33271, 7198, 15899, 9124, 4774, 198, 5618, 1903, 264, 33012 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 791, 26029, 63641, 374, 264, 4751, 584, 1005, 311, 7664, 279, 9547, 320, 10701, 323, 9434, 8, 430, 7958, 279, 5178, 315, 904, 2728, 3997, 304, 279, 2778, 21787, 13, 24586, 311, 279, 1633, 7138, 315, 2778, 21787, 35611, 21686, 872, 26249, 11, 32931, 5357, 11, 323, 15320, 68727, 311, 3493, 872, 3932, 449, 32100, 11, 9959, 11, 13687, 323, 4367, 3135, 11, 279, 26029, 63641, 374, 30293, 14691, 311, 6541, 323, 2349, 627, 63879, 304, 220, 679, 17, 198, 679, 17, 5602, 264, 4459, 4101, 315, 12384, 9013, 11, 10625, 288, 11, 4442, 311, 279, 2778, 4817, 25998, 11, 323, 502, 5627, 315, 7706, 3876, 13335, 26, 304, 2144, 11, 927, 279, 1566, 220, 717, 4038, 584, 617, 3970, 810, 27470, 29735, 304, 279, 26029, 63641, 1109, 584, 1047, 304, 279, 3766, 220, 20, 1667, 477, 779, 13, 3161, 420, 304, 4059, 433, 374, 10671, 15098, 5107, 311, 9539, 8417, 682, 315, 279, 3927, 9547, 430, 923, 709, 311, 264, 1664, 12, 19680, 4147, 2816, 11, 323, 8530, 810, 5107, 311, 7168, 279, 3938, 315, 279, 26029, 63641, 627, 11458, 11, 3293, 9013, 617, 6982, 264, 2867, 14944, 505, 2778, 21787, 26, 311, 7431, 3932, 311, 1505, 279, 1455, 13687, 323, 4367, 3135, 304, 459, 11297, 11827, 13, 6193, 279, 3347, 220, 717, 4038, 584, 617, 23926, 264, 4101, 315, 9547, 323, 4819, 449, 1057, 8403, 6732, 430, 584, 617, 30464, 311, 323, 1047, 311, 89959, 15174, 311, 5663, 12, 533, 8767, 45179, 26029, 990, 11, 477, 311, 7417, 4901, 5178, 3196, 389, 502, 34824, 627, 2028, 4652, 22262, 311, 11415, 1148, 584, 617, 3970, 927, 279, 3347, 220, 717, 4038, 304, 3878, 315, 279, 6541, 304, 279, 26029, 63641, 11, 323, 1268, 584, 4510, 1521, 690, 5536, 389, 2778, 8661, 1139, 220, 679, 18, 323, 7953, 627, 14783, 73510, 41425, 198, 3792, 304, 4216, 220, 679, 16, 11, 5195, 23255, 704, 11, 1054, 276, 12384, 292, 16048, 6319, 311, 1520, 1274, 1505, 810, 1579, 22867, 6732, 304, 2778, 11453, 1115, 2713, 574, 311, 387, 3967, 439, 279, 73510, 2713, 11, 323, 706, 2533, 1047, 13489, 220, 1419, 26771, 11, 9013, 323, 10625, 288, 627, 47, 10018, 574, 6319, 311, 11565, 1148, 5195, 25660, 311, 387, 3451, 12156, 22867, 529, 6732, 11, 323, 8108, 279, 33407, 369, 1884, 6732, 430, 1051, 6646, 3428, 19625, 923, 369, 3932, 304, 3878, 315, 279, 389, 15463, 2262, 13, 1226, 617, 3970, 420, 5536, 1690, 6732, 994, 433, 4131, 311, 23329, 2262, 320, 67, 100084, 4028, 1866, 2816, 11, 323, 56003, 4028, 5361, 6732, 705, 15792, 2262, 11, 3428, 4367, 2262, 323, 810, 627, 644, 1057, 3217, 433, 706, 1047, 264, 8389, 5536, 8104, 389, 384, 42685, 6732, 449, 56003, 2262, 4028, 5699, 6959, 11, 1207, 43958, 6959, 323, 2027, 6959, 627, 11663, 6732, 15871, 17550, 555, 279, 73510, 2713, 617, 5343, 88937, 13335, 320, 1834, 9651, 22523, 323, 312, 2320, 11931, 555, 264, 3997, 8, 439, 1664, 439, 3428, 22867, 22325, 13335, 627, 1687, 85775, 425, 4726, 26771, 315, 73510, 6957, 220, 679, 18, 439, 5195, 3136, 311, 7417, 872, 12384, 753, 311, 11388, 19662, 5990, 315, 70576, 278, 23329, 2262, 198, 1966, 12, 2732, 31197, 8082, 323, 29696, 198, 1966, 15463, 11, 477, 389, 29654, 11, 7706, 8082, 374, 2103, 459, 26154, 961, 315, 279, 10223, 26029, 63641, 13, 763, 3177, 315, 279, 73510, 2713, 11, 5195, 2819, 1579, 4367, 11, 5016, 2262, 1457, 810, 1109, 3596, 11, 323, 430, 5764, 279, 389, 15463, 2038, 430, 706, 1027, 279, 82575, 315, 26029, 927, 279, 1667, 627, 11458, 11, 1070, 374, 1101, 264, 6541, 7119, 16048, 304, 67633, 323, 26225, 6959, 2949, 13335, 26, 3161, 420, 304, 4059, 11, 433, 374, 48696, 311, 7373, 15806, 701, 389, 29654, 7706, 8082, 8446, 449, 24886, 311, 1855, 2199, 753, 5665, 11, 5874, 11106, 11, 473, 16, 52449, 11, 16197, 56795, 11, 16197, 7817, 323, 9059, 11, 439, 1664, 439, 279, 3997, 6070, 11, 2038, 18112, 323, 810, 311, 1520, 4148, 23329, 2262, 6957, 264, 3997, 627, 2028, 1920, 706, 3719, 3596, 51014, 11156, 304, 1202, 8670, 311, 6106, 430, 264, 3997, 20628, 264, 4335, 11, 7706, 4147, 743, 315, 8670, 323, 706, 3970, 279, 17219, 315, 5528, 311, 1520, 7417, 43553, 2065, 11, 5852, 11850, 323, 1023, 11156, 8670, 902, 649, 57780, 264, 3997, 627, 1110, 53999, 16570, 3495, 2212, 279, 7057, 323, 2262, 315, 701, 2816, 1288, 387, 45179, 15870, 304, 2015, 311, 4822, 8469, 315, 32931, 18845, 323, 279, 15022, 18921, 315, 701, 2115, 477, 10706, 323, 304, 2015, 311, 10625, 323, 2713, 279, 389, 15463, 7706, 8082, 304, 1584, 449, 420, 627, 20397, 5370, 12384, 292, 9013, 311, 656, 449, 2262, 11, 7902, 323, 810, 11, 279, 907, 315, 389, 29654, 7706, 8082, 4250, 387, 87136, 304, 220, 679, 18, 627, 34174, 9059, 611, 9059, 18729, 198, 22845, 311, 5195, 753, 73510, 12384, 374, 279, 23035, 315, 17843, 4367, 2262, 323, 98233, 287, 459, 7524, 2262, 8661, 8446, 369, 701, 2816, 13, 578, 2262, 315, 701, 3997, 1288, 539, 1193, 387, 9959, 11, 95868, 323, 5016, 11, 719, 1288, 387, 19310, 11, 4430, 97767, 323, 3485, 23148, 923, 907, 311, 3932, 627, 791, 68009, 315, 3451, 1834, 374, 11734, 529, 706, 1027, 6755, 369, 1667, 1457, 11, 323, 433, 374, 8530, 1457, 810, 13687, 264, 5224, 1109, 3596, 13, 71828, 279, 907, 315, 264, 5933, 11, 76649, 323, 7524, 2723, 52499, 4901, 4250, 323, 1288, 539, 387, 87136, 11, 5195, 706, 9277, 3117, 810, 4785, 389, 4367, 2262, 994, 433, 4131, 311, 23862, 6732, 6051, 1109, 433, 3596, 706, 2884, 1603, 627, 2688, 1193, 1587, 420, 8464, 311, 279, 3451, 5880, 389, 264, 2199, 529, 315, 264, 3997, 11, 719, 311, 279, 98536, 2262, 8446, 323, 30293, 11, 2262, 8661, 8446, 627, 4959, 2199, 315, 264, 3997, 1288, 8854, 264, 7580, 11, 539, 311, 264, 2778, 4817, 11, 719, 311, 264, 1217, 13, 9062, 2199, 1288, 387, 1664, 6646, 323, 3463, 9994, 11, 323, 923, 907, 311, 279, 2816, 439, 264, 4459, 439, 1664, 439, 279, 1217, 11, 3339, 433, 264, 15062, 2592, 315, 11447, 323, 4281, 768, 2949, 1202, 10706, 477, 3157, 627, 32, 2262, 8661, 8446, 19813, 311, 279, 5845, 311, 539, 1193, 1893, 19310, 2262, 369, 832, 753, 1866, 2816, 11, 719, 311, 1893, 2262, 430, 3885, 690, 1390, 311, 1373, 11, 4430, 11, 3350, 922, 323, 2723, 311, 13, 9059, 18729, 17503, 15038, 1990, 279, 8776, 64982, 315, 26029, 315, 9059, 323, 6074, 24177, 26, 433, 374, 279, 1920, 315, 6968, 1579, 4367, 2262, 369, 701, 2816, 430, 690, 18182, 21953, 7902, 4669, 1202, 1633, 7138, 315, 1694, 19310, 11, 95868, 323, 9959, 627, 14783, 71244, 41425, 198, 644, 5936, 220, 679, 17, 11, 323, 1306, 5672, 315, 33422, 11, 5195, 5616, 11007, 814, 1051, 20700, 704, 264, 3451, 906, 5532, 309, 2713, 529, 430, 1690, 26029, 82, 1047, 14183, 311, 439, 459, 3451, 2017, 12, 19680, 8082, 16750, 529, 26, 420, 12384, 2713, 574, 5246, 2728, 279, 71244, 1647, 25840, 627, 47, 46972, 7111, 311, 2686, 5370, 3451, 76645, 529, 9547, 11, 2737, 279, 1180, 315, 16570, 83616, 11, 279, 4186, 8082, 315, 2723, 31956, 323, 1023, 3451, 11708, 2902, 266, 529, 12659, 11, 304, 2015, 311, 78220, 37735, 279, 2778, 21787, 304, 279, 33436, 315, 5190, 33407, 13, 1115, 8446, 7111, 311, 33294, 6471, 2902, 7298, 323, 1505, 56020, 304, 3878, 315, 23862, 18182, 4669, 4367, 2262, 323, 4367, 7902, 13, 578, 71244, 2713, 1206, 33298, 1523, 389, 1521, 12659, 323, 20034, 311, 11565, 1884, 6732, 430, 527, 15525, 323, 3451, 19045, 529, 304, 279, 6548, 315, 3932, 11, 539, 1120, 26249, 627, 3947, 706, 1027, 13489, 220, 18, 9013, 311, 279, 71244, 12384, 439, 5195, 5992, 311, 1054, 451, 20542, 33407, 369, 6732, 430, 584, 4510, 527, 45462, 1057, 4367, 17959, 113068, 1687, 617, 3970, 502, 8403, 2586, 311, 603, 3515, 1027, 69214, 40028, 555, 71244, 3515, 8767, 45179, 3776, 2902, 266, 12659, 994, 433, 4131, 311, 2723, 52499, 11, 2737, 279, 1005, 315, 2723, 14488, 11, 3428, 4367, 7902, 323, 1023, 10507, 315, 584, 5532, 309, 1778, 439, 2723, 2695, 73610, 11, 2723, 14519, 320, 68, 1326, 13, 220, 16, 11, 931, 7902, 369, 400, 20, 8, 323, 6352, 14519, 320, 16, 11, 931, 29725, 369, 400, 20, 4390, 3792, 2125, 57817, 611, 4185, 402, 363, 198, 644, 3177, 315, 279, 71244, 12384, 2713, 11, 279, 1920, 323, 8446, 315, 1203, 2125, 6492, 449, 279, 14944, 315, 34118, 1203, 2125, 17065, 706, 2586, 311, 279, 2291, 439, 2555, 430, 1855, 3997, 6506, 1288, 387, 8065, 2269, 1339, 449, 13, 24586, 311, 8009, 323, 3428, 4367, 2723, 52499, 12659, 11, 1690, 2723, 21542, 1457, 5101, 81846, 304, 279, 6548, 315, 3682, 2778, 21787, 11, 13239, 304, 31086, 323, 264, 18979, 304, 33407, 11, 13967, 69214, 74055, 389, 9629, 323, 13254, 627, 2409, 279, 1520, 315, 459, 10534, 2930, 8661, 9266, 11, 3997, 7980, 649, 49643, 1203, 2125, 6492, 323, 17065, 304, 2015, 311, 11415, 1884, 7902, 6155, 5389, 287, 5195, 753, 4367, 17959, 323, 23564, 872, 17065, 4669, 47208, 2816, 7980, 13, 763, 1063, 5157, 11, 2816, 7980, 527, 539, 3729, 481, 11, 527, 12266, 311, 11917, 11, 477, 1715, 264, 11307, 311, 4148, 279, 70669, 7902, 11, 902, 374, 1405, 5195, 753, 12309, 502, 4185, 402, 363, 5507, 4131, 304, 311, 1202, 1866, 627, 4599, 264, 28856, 2723, 4250, 387, 7108, 4669, 279, 4725, 12006, 11, 499, 649, 1005, 279, 4185, 402, 363, 5507, 311, 1715, 430, 5195, 32162, 904, 2515, 430, 279, 1071, 2723, 73072, 706, 389, 701, 2816, 11, 8617, 4277, 1113, 904, 3284, 16750, 12673, 311, 279, 2723, 73072, 627, 1687, 617, 3970, 1690, 502, 8403, 2586, 311, 603, 3515, 1027, 11754, 555, 71244, 11, 11125, 1203, 2125, 6492, 323, 1203, 2125, 17065, 8469, 315, 264, 1050, 25742, 367, 6274, 11, 477, 304, 2015, 311, 5471, 1778, 11193, 505, 5195, 13, 1226, 7168, 430, 220, 679, 18, 690, 1518, 810, 2816, 7980, 15763, 279, 5536, 315, 71244, 323, 6056, 420, 1778, 2532, 627, 14783, 1176, 11007, 430, 814, 1051, 1701, 3674, 17738, 304, 26679, 23862, 304, 3389, 220, 679, 15, 11, 555, 2737, 828, 505, 6405, 323, 5690, 311, 1520, 6211, 279, 14311, 21051, 320, 1874, 4817, 3135, 6959, 4390, 2409, 279, 53840, 304, 23354, 315, 3674, 14488, 927, 3293, 1667, 11, 3682, 2778, 21787, 617, 1027, 74978, 304, 70817, 872, 26249, 304, 4879, 520, 42852, 279, 23354, 315, 13335, 11, 2262, 11, 3956, 11, 27065, 5099, 13, 304, 279, 14311, 21051, 26, 8617, 42093, 15983, 481, 11, 3451, 44336, 529, 323, 3451, 6228, 529, 2262, 449, 5190, 33407, 439, 1521, 527, 264, 8450, 315, 4367, 11, 7095, 323, 23354, 1389, 1403, 1401, 9547, 315, 264, 2778, 21787, 12384, 292, 11565, 1355, 8218, 627, 27414, 17738, 20405, 3871, 3674, 3772, 8661, 323, 2778, 4817, 7706, 8082, 11, 323, 1202, 12939, 690, 3136, 311, 3139, 927, 279, 5108, 220, 717, 4038, 323, 7953, 439, 5195, 65206, 304, 264, 502, 11639, 315, 3674, 2778, 627, 98557, 2956, 611, 12824, 4488, 47197, 198, 24798, 279, 1005, 315, 34030, 828, 323, 11036, 1906, 5352, 11, 5195, 5131, 11815, 9257, 69742, 369, 264, 8205, 315, 5540, 11, 2737, 1274, 11, 8544, 11, 3956, 11, 19141, 323, 810, 13, 71854, 11, 1148, 420, 3445, 374, 430, 422, 701, 828, 374, 13160, 709, 13750, 11, 499, 649, 11857, 279, 11341, 315, 701, 15182, 389, 279, 14311, 21051, 304, 2015, 311, 1520, 7417, 4299, 1555, 7969, 11, 71199, 11, 323, 8530, 1524, 23862, 627, 34814, 3970, 439, 810, 315, 264, 1217, 3217, 8935, 11, 433, 374, 3284, 430, 279, 1005, 315, 13155, 1906, 5352, 1436, 387, 1511, 439, 264, 23862, 8331, 304, 279, 3221, 3938, 11, 8104, 279, 1005, 315, 7030, 19856, 11, 49001, 279, 3229, 315, 264, 6710, 315, 2262, 374, 6982, 389, 279, 14311, 21051, 627, 791, 1005, 315, 34030, 828, 323, 279, 1648, 304, 902, 5195, 374, 1701, 420, 828, 311, 11857, 279, 14311, 21051, 5039, 1268, 5370, 9863, 315, 2038, 323, 5361, 9547, 2515, 287, 279, 26029, 63641, 617, 264, 14459, 10539, 2515, 389, 1855, 1023, 11, 323, 527, 682, 304, 39749, 292, 2915, 10815, 304, 264, 2271, 311, 3493, 279, 17139, 304, 3878, 315, 9959, 11, 4367, 2778, 3135, 627, 7469, 8082, 611, 8121, 8082, 198, 2409, 279, 53840, 304, 279, 1005, 315, 6505, 7766, 323, 21354, 19002, 927, 3293, 4038, 323, 1667, 11, 279, 12939, 315, 8949, 2778, 323 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 3915, 18779, 21020, 30668, 11, 3026, 753, 7013, 10727, 323, 11002, 3691, 311, 24854, 8666, 32737, 323, 21644, 12571, 8735, 11, 10212, 1618, 527, 220, 1114, 6848, 369, 264, 6883, 502, 2626, 21210, 304, 220, 679, 22, 13, 14689, 706, 3970, 264, 3148, 506, 50577, 315, 3293, 22291, 38581, 323, 14992, 15749, 311, 1023, 5415, 439, 264, 1121, 315, 814, 1051, 29123, 555, 279, 36580, 499, 7664, 13, 10541, 1063, 25341, 2163, 279, 1614, 439, 1664, 11, 3403, 5687, 2163, 505, 279, 27825, 26640, 323, 4216, 220, 1049, 15, 82, 430, 264, 8294, 8205, 315, 2683, 27548, 3073, 13, 362, 5557, 18052, 6303, 13639, 11, 9784, 12541, 369, 22237, 5557, 706, 420, 44308, 6303, 430, 649, 7945, 499, 5190, 32172, 5557, 304, 701, 67805, 13, 4184, 311, 26644, 275, 25, 627, 57549, 4236, 304, 279, 17863, 10170, 6498, 2068, 649, 5268, 311, 656, 6492, 304, 3451, 28602, 2320, 37017, 2296, 529, 9435, 36788, 11, 1405, 6067, 11, 3241, 11, 323, 37072, 6492, 16343, 311, 8356, 279, 17876, 9659, 315, 1396, 48689, 3265, 287, 2307, 66047, 388, 13, 2435, 690, 3460, 704, 279, 3575, 315, 14892, 449, 3451, 17185, 2038, 529, 449, 13241, 3823, 11733, 11533, 25066, 13, 2582, 814, 1253, 5268, 311, 1505, 264, 2162, 449, 1917, 15144, 50184, 304, 21075, 11478, 477, 74706, 627, 5519, 539, 1440, 1148, 3460, 315, 6500, 499, 2643, 387, 304, 2778, 315, 30, 763, 1162, 499, 527, 15389, 369, 264, 6883, 502, 6500, 11, 499, 4805, 45063, 1057, 13057, 6727, 315, 21288, 19002, 11, 17963, 19002, 11, 4272, 12383, 11, 27527, 12383, 11, 37232, 370, 15027, 11, 323, 29679, 13, 1226, 617, 264, 7029, 6727, 315, 19002, 505, 74436, 16097, 1093, 8325, 11, 39424, 11, 12478, 11, 21533, 11, 96541, 11, 77077, 11, 76273, 11, 64799, 11, 18907, 11, 40478, 11, 323, 68498, 627, 564, 13, 12220, 279, 220, 6393, 21, 4261, 315, 420, 5557, 389, 279, 11841, 753, 1176, 7528, 6500, 5301, 40, 1741, 574, 8040, 8051, 358, 4070, 539, 779, 1690, 3932, 11, 4869, 6500, 5557, 706, 1027, 1511, 3738, 9873, 13, 29201, 34494, 3932, 649, 6435, 1523, 701, 4459, 4029, 13, 1115, 19240, 690, 1501, 499, 279, 1888, 1648, 311, 1005, 28518, 62109, 311, 743, 709, 9629, 46620, 311, 63652, 3566, 2816, 15613, 13, 12053, 18985, 1389, 44420, 483, 16641, 11, 578, 1005, 315, 4696, 4557, 279, 2800, 198, 42, 52, 8871, 586, 6500, 51048, 3085, 279, 15679, 12818, 2680, 311, 25213, 5070, 323, 5115, 264, 2763, 315, 3241, 2068, 304, 1520, 315, 21630, 11, 34225, 323, 92032, 54914, 520, 735, 52, 13, 13440, 477, 539, 499, 3207, 27989, 389, 1124, 477, 80907, 1124, 24931, 24794, 11, 279, 11333, 706, 5614, 279, 1648, 584, 3974, 1057, 6439, 13, 2435, 3493, 8336, 315, 16924, 323, 828, 11, 505, 11333, 5039, 311, 88466, 311, 2038, 7620, 13, 578, 4360, 449, 8122, 41115, 11, 38913, 11, 374, 430, 814, 4805, 21813, 499, 35447, 994, 499, 1205, 311, 387, 21811, 13, 55106, 11, 814, 7784, 1431, 2133, 311, 1205, 311, 7410, 1455, 315, 603, 311, 636, 8599, 311, 279, 5000, 315, 20695, 627, 49885, 433, 374, 539, 3604, 2288, 5652, 449, 5201, 311, 279, 14740, 315, 17863, 5557, 2949, 279, 24978, 4869, 994, 433, 4131, 311, 2731, 35996, 323, 4500, 449, 5201, 311, 67805, 323, 21630, 3388, 315, 11, 374, 5115, 3293, 13, 1226, 527, 3025, 311, 1304, 59772, 311, 2019, 430, 449, 1475, 50925, 2949, 279, 3158, 315, 17863, 1887, 1070, 374, 459, 65022, 16048, 304, 1202, 14740, 304, 279, 16627, 10706, 627, 14364, 5780, 11, 279, 3805, 12, 65424, 11, 5825, 7155, 99958, 11, 5423, 2391, 4106, 9282, 13, 763, 19672, 279, 2035, 32519, 14236, 3073, 11, 15687, 649, 10150, 311, 10051, 29076, 2085, 1694, 18290, 18815, 279, 10182, 13, 1102, 36755, 6981, 1524, 994, 279, 10182, 2795, 6062, 13, 64546, 30350, 58003, 279, 7720, 315, 22936, 11, 20314, 323, 44175, 19885, 315, 7138, 311, 38553, 4819, 311, 387, 29056, 13, 362, 3318, 24291, 35547, 3388, 315, 374, 459, 6381, 304, 5196, 627, 10464, 56940, 384, 11724, 13711, 320, 265, 1083, 285, 1189, 315, 1884, 5343, 304, 5210, 42158, 11, 5195, 62046, 11, 323, 1023, 7620, 570, 3161, 430, 1694, 9932, 11, 358, 6562, 311, 1505, 264, 1749, 311, 1520, 2678, 6424, 61095, 636, 3970, 555, 7926, 24909, 13, 1102, 10578, 31439, 4869, 1202, 539, 13, 5112, 3131, 810, 11, 4400, 690, 12446, 2085, 802, 1072, 788, 990, 13, 5884, 2336, 11, 2294, 4652, 9523, 369, 279, 21063, 13, 24229, 4696, 4557, 279, 2800, 198, 33413, 12, 717, 4967, 25076, 1389, 5557, 25076, 13500, 4477, 11, 8595, 5557, 25076, 482, 717, 4967, 7718, 30, 879, 11, 38124, 11, 586, 98083, 5557, 12387, 5627, 18885, 18640, 16627, 6215, 85, 21060, 2684, 527, 7447, 5540, 902, 527, 304, 1514, 304, 10223, 323, 3339, 279, 13723, 315, 279, 502, 13042, 10758, 21516, 1355, 30463, 287, 3772, 88703, 13, 3861, 4315, 1521, 62814, 527, 279, 12823, 23711, 449, 279, 6883, 502, 24084, 7972, 12208, 9268, 902, 6493, 13544, 502, 4221, 7620, 323, 7438, 14, 8110, 1385, 902, 617, 459, 2515, 389, 279, 6444, 11, 889, 1243, 842, 709, 6968, 264, 1917, 323, 14209, 2212, 323, 4871, 477, 449, 1521, 7425, 306, 3772, 12208, 9268, 527, 26611, 555, 1124, 323, 1023, 1274, 682, 927, 279, 41910, 14, 36779, 4435, 627, 1360, 716, 4920, 87385, 389, 8339, 753, 1160, 315, 12474, 22923, 13312, 32947, 374, 7648, 89901, 13, 1115, 649, 387, 264, 8486, 6319, 369, 837, 6500, 43448, 11, 279, 2262, 3769, 374, 52056, 27975, 369, 16757, 3932, 1174, 539, 502, 57773, 13, 2052, 19002, 617, 1063, 1376, 315, 6677, 5951, 902, 15714, 1124, 636, 11374, 477, 2612, 4819, 311, 279, 6376, 13, 578, 452, 15967, 17989, 264, 24182, 7905, 3717, 690, 907, 400, 17, 11, 7467, 824, 35022, 304, 12593, 449, 400, 35124, 17514, 414, 7895, 369, 264, 2167, 14048, 3717, 3770, 24182, 4334, 627, 12834, 1521, 27260, 16033, 2819, 527, 13524, 539, 3284, 311, 64508, 11, 814, 3207, 810, 4461, 311, 10570, 311, 387, 520, 279, 4851, 315, 16033, 37635, 304, 279, 1005, 323, 2955, 315, 828, 14645, 369, 279, 79003, 3938, 13, 9930, 499, 311, 701, 1862, 4491, 13, 13926, 13, 358, 1097, 439, 48026, 439, 499, 1981, 60419, 497, 2465, 94398, 21881, 369, 5196, 55080, 4344, 264, 1972, 50048, 3001, 4800, 2919, 529, 6500, 6975, 374, 264, 98024, 264, 961, 315, 6873, 11, 304, 2015, 430, 4236, 649, 8895, 6913, 2038, 315, 6500, 5557, 627, 38198, 95204, 32911, 22234, 15161, 18876, 328, 2636, 11, 386, 13793, 1871, 2234, 74, 771, 276, 20166, 1871, 41297, 220, 6640, 15, 79, 8797, 12445, 281, 5893, 1445, 32911, 8891, 39472, 6007, 10587, 11129, 4781, 69695, 13, 11361, 7752, 389, 701, 6170, 323, 18726, 11, 433, 374, 1790, 26893, 0, 65057, 311, 387, 1093, 264, 2763, 315, 1274, 4696, 4557, 279, 2800, 198, 51, 332, 668, 514, 6179, 32751, 84753, 14814, 42327, 28095, 2298, 384, 3900, 48193, 1862, 78, 21488, 26686, 87048, 26858, 51719, 13509, 1604, 1891, 28095, 2298, 13, 23548, 279, 5597, 369, 11469, 3062, 7422, 24059, 4236, 11, 16920, 12070, 617, 82577, 51480, 1534, 938, 668, 21630, 323, 617, 7543, 5066, 892, 304, 5528, 311, 2187, 4236, 311, 3619, 32068, 553, 6989, 13, 1115, 44818, 5535, 6500, 14248, 311, 1179, 11026, 315, 990, 304, 12496, 323, 38696, 555, 2577, 1286, 323, 17876, 1515, 9818, 13, 25218, 279, 2132, 4376, 315, 813, 5684, 11, 54763, 8710, 1268, 7137, 12496, 1436, 11000, 387, 1511, 311, 1893, 264, 16622, 369, 7999, 1403, 8026, 19016, 627, 791, 8927, 52, 706, 46121, 430, 923, 11, 33356, 11, 31370, 11, 323, 22497, 1403, 35884, 2819, 11, 439, 1664, 439, 46121, 369, 12496, 7677, 53007, 311, 3651, 323, 2794, 320, 1820, 2035, 264, 220, 16, 374, 33398, 439, 837, 323, 264, 7315, 439, 905, 11, 779, 430, 11, 439, 459, 3187, 11, 220, 16, 3651, 220, 15, 284, 7315, 26, 1518, 7137, 47976, 7609, 578, 8927, 52, 706, 264, 1396, 315, 311, 7191, 1109, 220, 1041, 25771, 430, 28191, 10519, 3135, 315, 1202, 83699, 369, 4726, 35884, 7677, 477, 369, 3480, 311, 1925, 5044, 627, 7184, 430, 499, 1440, 1268, 11660, 701, 9558, 2239, 374, 11, 304, 3878, 315, 5178, 11, 1095, 753, 636, 1314, 1523, 311, 2626, 13, 578, 24064, 34786, 315, 11, 279, 4509, 1137, 477, 64575, 315, 11, 19762, 264, 905, 58473, 26, 279, 9618, 261, 315, 19762, 905, 477, 4509, 1137, 315, 19762, 905, 2389, 8719, 11, 311, 3009, 14675, 13, 81238, 25, 1389, 8588, 15871, 3196, 12823, 527, 6319, 311, 1520, 264, 8205, 315, 7471, 12562, 13, 26041, 16692, 527, 3779, 311, 13334, 23099, 627, 38432, 597, 3614, 2857, 527, 76024, 5505, 323, 4148, 264, 2294, 3568, 315, 14560, 3823, 16628, 13, 1115, 6276, 810, 15962, 26171, 7351, 11, 323, 29790, 11351, 311, 3539, 17162, 8420, 311, 10299, 6130, 22639, 13, 20636, 264, 597, 76017, 50698, 6130, 1862, 28473, 24897, 430, 8403, 649, 19019, 323, 30820, 636, 477, 7142, 704, 1148, 814, 1390, 1418, 5687, 649, 5357, 389, 872, 6332, 22006, 13, 2684, 1253, 387, 7154, 4696, 4557, 279, 2800, 198, 24105, 8200, 520, 420, 892, 527, 1694, 264, 2763, 6532, 323, 8010, 315, 22934, 315, 6300, 5942, 4441, 323, 8141, 315, 872, 828, 323, 828, 8735, 18815, 872, 9434, 323, 5419, 4676, 13, 2435, 1440, 430, 422, 814, 1253, 539, 3790, 3630, 5070, 10489, 1070, 374, 912, 2035, 369, 1124, 304, 420, 19738, 2626, 16975, 13, 15344, 2626, 11351, 649, 1005, 5210, 9742, 323, 10299, 872, 4729, 6373, 1887, 20444, 6908, 11351, 1397, 38291, 8735, 7526, 323, 15174, 439, 824, 279, 32961, 323, 1404, 315, 279, 1912, 13, 2057, 21782, 8294, 6566, 7422, 18000, 323, 28697, 11, 584, 1436, 49643, 264, 12914, 430, 1253, 387, 264, 11190, 39975, 315, 1690, 4211, 323, 17931, 389, 279, 3917, 5030, 13, 578, 12914, 4536, 1431, 73603, 719, 264, 5505, 8641, 369, 279, 33315, 753, 5149, 311, 34477, 279, 64060, 753, 8294, 21630, 19248, 13, 19173, 499, 1436, 617, 311, 8493, 264, 2763, 315, 810, 3300, 311, 636, 459, 7855, 3834, 449, 1584, 8547, 503, 7977, 320, 55, 20721, 53427, 50, 8, 902, 374, 409, 61596, 279, 1888, 1648, 358, 37287, 311, 733, 1981, 719, 358, 25720, 358, 1253, 3868, 323, 7417, 430, 3010, 994, 358, 11075, 1148, 3169, 315, 38878, 358, 1205, 13, 578, 8582, 11028, 315, 279, 17737, 24423, 1093, 279, 29313, 617, 1630, 20721, 53427, 50, 627, 32, 1633, 1633, 35306, 4652, 13, 4740, 1373, 433, 11, 358, 1097, 48026, 520, 701, 1695, 6848, 323, 4477, 18000, 13, 11361, 264, 2763, 389, 701, 11821, 0, 1102, 374, 3604, 12738, 17523, 763, 279, 1317, 1629, 11, 433, 3952, 757, 1120, 220, 24, 4038, 323, 400, 868, 11, 931, 315, 21210, 10736, 311, 636, 14738, 47955, 323, 3157, 18726, 13, 41813, 7296, 24198, 311, 7431, 264, 59314, 2077, 13, 12040, 961, 2949, 279, 16421, 52, 5158, 8069, 9708, 2956, 24507, 311, 29531, 4040, 4868, 12659, 323, 7526, 627, 2460, 10180, 31541, 323, 527, 9879, 42134, 315, 362, 8253, 7972, 11, 15620, 13, 7388, 220, 1049, 15, 12, 679, 22, 362, 8253, 7972, 11, 15620, 13, 578, 19721, 21844, 18825, 47571, 16784, 11, 902, 10887, 264, 2466, 3560, 304, 279, 7342, 315, 279, 5000, 4696, 4557, 279, 2800 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 1966, 19163, 358, 41193, 430, 5896, 5340, 63858, 374, 264, 3568, 14739, 466, 1109, 77096, 13, 1666, 279, 14467, 79932, 1202, 1648, 1523, 1555, 3428, 9624, 11, 358, 1047, 94162, 288, 315, 58367, 13952, 82019, 32390, 291, 449, 52909, 3090, 12006, 323, 279, 28961, 97383, 37066, 505, 11191, 6962, 61363, 74317, 13, 2100, 1790, 369, 279, 4676, 13, 1226, 27212, 65904, 264, 17004, 11623, 36572, 559, 43376, 315, 23749, 389, 264, 52861, 430, 7111, 1093, 810, 1093, 279, 735, 13327, 40021, 1109, 4205, 82964, 398, 6573, 1093, 264, 1403, 14929, 13619, 315, 220, 966, 10166, 12314, 14509, 13, 4800, 358, 3619, 279, 1023, 7419, 315, 15715, 391, 38947, 627, 2356, 2370, 279, 17149, 279, 1176, 3245, 430, 17948, 757, 574, 430, 1475, 33517, 14006, 477, 779, 1070, 574, 264, 8993, 13, 4359, 596, 26888, 9441, 11, 578, 90422, 76607, 9441, 11, 578, 9441, 315, 279, 44468, 27445, 596, 320, 24544, 76051, 30393, 4024, 1828, 6134, 8, 323, 9441, 315, 279, 432, 24004, 362, 943, 320, 20670, 2011, 387, 9405, 1578, 48173, 13, 15936, 311, 1781, 315, 433, 11, 814, 656, 617, 348, 74501, 1618, 8, 311, 836, 264, 2478, 88608, 10507, 13, 8840, 11, 323, 279, 26351, 13, 8681, 4179, 6605, 93740, 315, 26122, 315, 682, 13124, 11096, 555, 264, 12314, 326, 6895, 9622, 17251, 291, 555, 264, 16579, 13840, 315, 7693, 13, 1442, 499, 1781, 18866, 83908, 98778, 3714, 1306, 264, 1523, 55619, 527, 54766, 11, 1456, 279, 934, 351, 76, 556, 323, 39682, 1080, 351, 2987, 814, 1650, 82835, 1618, 13, 20696, 374, 14739, 11, 24905, 5294, 477, 77315, 13, 9843, 4251, 24937, 14620, 527, 91567, 1636, 449, 279, 3776, 6650, 315, 1063, 35148, 81540, 13, 7570, 279, 810, 62486, 85871, 1427, 51533, 11, 439, 422, 814, 617, 1027, 30831, 7833, 505, 279, 743, 315, 32743, 43588, 13, 1666, 369, 1148, 304, 98792, 814, 2663, 3451, 1128, 496, 62067, 1556, 1132, 3074, 529, 320, 276, 1132, 292, 8246, 705, 279, 67163, 15661, 315, 18254, 21512, 17354, 24411, 1139, 737, 54228, 13987, 10632, 11, 38484, 274, 1639, 389, 904, 2561, 6710, 315, 653, 21974, 4363, 323, 11983, 8689, 11, 304, 2922, 8805, 11, 264, 38040, 11, 653, 19153, 323, 61007, 11, 1664, 11, 279, 96322, 1521, 653, 4057, 359, 988, 2011, 387, 52876, 374, 96603, 13, 4702, 6051, 304, 264, 2035, 2663, 5111, 462, 11, 2500, 4359, 69, 1105, 3448, 11140, 315, 1690, 389, 420, 32843, 11, 31183, 42436, 1990, 5896, 5340, 63858, 323, 77096, 814, 617, 1027, 11039, 1578, 13, 5046, 279, 7895, 477, 779, 22277, 5315, 304, 420, 21075, 7140, 11, 2380, 315, 1124, 5496, 24059, 1855, 1023, 304, 279, 50646, 4225, 10185, 2064, 14989, 315, 279, 20992, 9665, 3621, 311, 12491, 1855, 1023, 449, 264, 72788, 13, 1628, 315, 3388, 11, 279, 3016, 27149, 1070, 13, 358, 2019, 4359, 69, 1105, 3448, 719, 279, 5654, 374, 539, 12756, 75751, 3448, 13, 74418, 315, 1667, 4227, 279, 20992, 86278, 6070, 11, 279, 10182, 520, 279, 892, 11, 279, 84913, 10065, 323, 36581, 6650, 323, 17876, 31815, 3549, 279, 10728, 4787, 311, 23709, 279, 17055, 7063, 47620, 9124, 555, 279, 6485, 30903, 323, 22027, 315, 66266, 1234, 7410, 304, 459, 41390, 261, 31906, 4676, 13, 41812, 11, 279, 4459, 24905, 5294, 9622, 374, 19596, 389, 5707, 323, 1306, 11026, 315, 4500, 320, 269, 40761, 11911, 389, 3508, 499, 1440, 1268, 311, 53203, 42453, 71, 5757, 477, 539, 705, 1070, 753, 2103, 21577, 2163, 13, 1628, 279, 3392, 430, 374, 3451, 2414, 529, 374, 7859, 682, 279, 892, 439, 279, 7447, 57011, 3719, 1524, 810, 26611, 520, 9455, 323, 60508, 279, 6392, 323, 3738, 5961, 656, 4205, 311, 617, 8336, 315, 5707, 430, 814, 1541, 1431, 617, 311, 3780, 1022, 4423, 449, 264, 15600, 43713, 389, 872, 2010, 13, 58795, 5042, 11, 5127, 11, 279, 7447, 5392, 367, 1147, 11, 279, 3109, 11, 279, 7187, 11, 814, 682, 1390, 872, 6762, 4430, 13, 81363, 374, 11, 5127, 706, 264, 2204, 4623, 315, 1148, 753, 3451, 42000, 529, 323, 422, 264, 2478, 14971, 636, 293, 13883, 304, 71513, 279, 4360, 11, 1664, 11, 430, 753, 2626, 627, 10267, 753, 733, 1203, 311, 279, 10043, 13, 358, 617, 16625, 1120, 922, 17277, 11, 16386, 11, 3320, 3689, 111941, 11, 27852, 14559, 11, 11186, 529, 10481, 11, 12550, 4409, 11, 3131, 1524, 46337, 3403, 311, 7102, 264, 35404, 2403, 264, 8753, 1543, 449, 7315, 20366, 5030, 4871, 813, 32635, 2212, 279, 3700, 11691, 2428, 315, 12366, 11, 719, 1193, 1457, 656, 358, 7373, 15763, 1148, 364, 2201, 5718, 6, 3445, 13, 578, 9629, 374, 93840, 788, 13, 362, 19091, 1841, 462, 351, 25754, 2539, 389, 832, 3185, 6835, 31073, 369, 1148, 279, 6063, 753, 1650, 4323, 380, 78300, 388, 11, 20457, 12050, 11, 279, 4856, 84834, 6725, 315, 28818, 11731, 8800, 279, 14329, 1841, 462, 351, 25754, 323, 10043, 1139, 389, 5065, 9629, 449, 54317, 58817, 369, 5606, 753, 2324, 2646, 4059, 872, 1866, 13, 1666, 459, 16038, 11, 3515, 3970, 433, 389, 12387, 25975, 1457, 323, 2646, 3131, 11, 539, 3131, 3515, 16102, 32126, 264, 2010, 389, 19277, 11, 358, 1097, 2133, 311, 1935, 264, 3345, 1427, 520, 279, 88720, 29441, 311, 55433, 9515, 439, 1521, 2447, 1105, 2011, 617, 279, 2410, 315, 279, 7834, 5383, 26551, 5457, 2115, 13, 1628, 1541, 1431, 10894, 11, 55433, 12050, 527, 1790, 3152, 261, 1109, 80127, 2439, 11, 3451, 77, 1386, 1071, 627, 40, 617, 1101, 539, 3686, 1047, 279, 6776, 311, 4007, 279, 55433, 13890, 315, 7665, 7458, 955, 14765, 14640, 719, 358, 13085, 430, 49062, 1053, 733, 2555, 1093, 420, 25, 3320, 2094, 11, 10309, 320, 36046, 389, 8987, 11822, 11731, 1237, 61084, 11, 23911, 320, 1820, 21281, 374, 264, 3756, 1511, 311, 5225, 1023, 5754, 3932, 430, 701, 4817, 374, 4401, 1237, 426, 1538, 388, 11, 539, 5995, 320, 9514, 617, 88720, 11, 1148, 279, 15123, 656, 499, 1205, 28675, 388, 369, 30, 1237, 35622, 14603, 32786, 11, 23911, 320, 2000, 50244, 2197, 64502, 11, 71108, 645, 11, 8761, 220, 2639, 1354, 323, 76920, 388, 1139, 279, 50104, 11, 9168, 304, 1124, 11, 10309, 1237, 2380, 4579, 3160, 315, 8957, 11, 23911, 320, 2000, 55060, 95072, 398, 704, 315, 279, 5696, 753, 3185, 3321, 311, 90788, 389, 5065, 5754, 3932, 994, 10043, 279, 5076, 1648, 709, 264, 19091, 1841, 462, 351, 25754, 13, 358, 10585, 499, 539, 570, 1628, 279, 17931, 3857, 25, 14221, 265, 10247, 11, 264, 10051, 21070, 3756, 902, 11, 994, 9621, 3445, 430, 279, 7458, 1253, 1193, 387, 1511, 369, 264, 4726, 220, 605, 11, 931, 74, 1026, 520, 7340, 26735, 43284, 1603, 279, 74028, 95013, 320, 43063, 10051, 21070, 7438, 3451, 1712, 311, 27669, 2500, 74028, 529, 1237, 65456, 11, 279, 1841, 753, 389, 51906, 3480, 26, 17960, 11, 264, 832, 4579, 6710, 315, 64456, 9988, 13961, 505, 902, 4819, 25631, 96271, 315, 12314, 11, 3776, 1689, 28075, 26310, 3698, 28244, 33880, 282, 19131, 477, 3116, 4579, 39885, 26, 98973, 11, 264, 3756, 279, 6156, 734, 315, 902, 374, 311, 1654, 8023, 349, 279, 7458, 320, 19041, 527, 6118, 4330, 477, 4848, 77072, 367, 7969, 311, 5268, 505, 384, 1326, 18976, 220, 19, 339, 14787, 11, 53722, 1654, 8023, 367, 1555, 311, 220, 16, 267, 11, 11295, 1654, 8023, 367, 323, 25263, 14787, 11, 13147, 73588, 1237, 42190, 11, 264, 80573, 3158, 3060, 3185, 315, 279, 5754, 311, 1005, 304, 459, 13147, 422, 279, 98973, 14865, 320, 275, 374, 6118, 10409, 449, 8579, 6302, 902, 4546, 279, 7458, 21676, 311, 2800, 449, 279, 8187, 315, 24693, 5674, 1237, 8579, 6302, 11, 62558, 627, 5159, 5274, 374, 922, 220, 21, 97777, 505, 279, 28377, 13, 358, 617, 6755, 22169, 7493, 315, 17274, 1694, 31691, 369, 8254, 4207, 389, 420, 8104, 25629, 2766, 315, 19091, 1841, 462, 351, 25754, 13, 31048, 4207, 0, 38891, 11961, 520, 12801, 8869, 656, 11583, 822, 304, 18866, 10018, 304, 279, 50937, 7160, 11, 279, 6308, 1694, 2781, 6879, 505, 279, 1841, 555, 279, 6926, 53728, 315, 2197, 64502, 11, 71108, 645, 11, 8761, 220, 2639, 1354, 323, 76920, 388, 682, 4560, 311, 4662, 499, 279, 1633, 5652, 304, 8620, 14, 2356, 6993, 2423, 12466, 5557, 11, 584, 59967, 4225, 10185, 87076, 11, 8515, 365, 31049, 26310, 54662, 304, 63189, 4787, 11, 41926, 64866, 71707, 26310, 29602, 3950, 57455, 689, 11, 10597, 24699, 11, 4205, 430, 279, 69345, 35687, 617, 7263, 304, 505, 5734, 13, 578, 12047, 430, 358, 617, 56224, 779, 3117, 374, 1403, 4207, 11, 719, 1243, 1578, 11, 358, 1097, 264, 55433, 36999, 627, 791, 1023, 1938, 11, 369, 279, 1176, 892, 11, 358, 3952, 264, 31551, 2212, 279, 6424, 12541, 13, 1226, 527, 922, 27219, 4520, 6801, 414, 4207, 5640, 1146, 96731, 320, 40, 1550, 6420, 430, 279, 9629, 574, 50235, 11, 3287, 1431, 358, 10380, 505, 279, 4219, 315, 5896, 5340, 63858, 11, 459, 3158, 6800, 398, 14183, 311, 439, 279, 65120, 11, 279, 10423, 55555, 12299, 13, 1102, 374, 1618, 430, 832, 690, 1505, 279, 25325, 320, 27814, 307, 3675, 520, 400, 3101, 824, 3814, 11, 315, 3388, 8, 323, 279, 19424, 13, 578, 33425, 10349, 374, 5131, 279, 1455, 5526, 449, 1367, 2416, 988, 323, 279, 832, 11, 9093, 11, 311, 5766, 369, 279, 892, 1694, 13, 358, 2019, 279, 892, 1694, 1606, 433, 690, 1193, 3412, 3451, 3646, 92867, 1367, 266, 6469, 529, 2704, 369, 264, 11075, 4261, 13, 3639, 374, 264, 3451, 67, 47737, 4261, 529, 30, 578, 892, 433, 5097, 369, 279, 13481, 12855, 3262, 2661, 388, 14, 5812, 75, 6370, 14, 6151, 13636, 88512, 311, 39256, 1405, 279, 19641, 706, 24169, 6901, 323, 374, 5644, 369, 24322, 13, 362, 2478, 4062, 11, 51306, 13280, 323, 1306, 430, 11, 279, 60178, 33012, 690, 834, 82344, 13882, 1603, 279, 49816, 3131, 810, 1080, 3916, 1634, 1093, 4647, 17323, 311, 264, 8761, 3177, 320, 1962, 264, 1695, 46450, 430, 11, 279, 8761, 13001, 656, 539, 990, 1618, 8, 323, 814, 682, 59213, 1022, 311, 264, 502, 6469, 323, 3201, 584, 733, 1578, 13, 20636, 1071, 430, 11, 55433, 6469, 7980, 656, 520, 3325, 1304, 459, 4879, 311, 9966, 279, 4994, 5789, 315, 872, 19424, 555, 8405, 2225, 872, 1866, 4868, 323, 76712, 287, 4379, 9808, 311, 10894, 279, 2800, 315, 872, 34427, 323, 37455, 5694, 1070, 13, 358, 3131, 5602, 264, 6453, 6437, 3820, 5352, 43335, 304, 279, 35612, 449, 264, 15860, 315, 1633, 55349, 3995, 3026, 304, 279, 1203, 320, 278, 1315, 11, 814, 7111, 1093, 71836, 32638, 719, 814, 1051, 304, 14113, 705, 17903, 311, 279, 18311, 323, 682, 12512, 98024, 60469, 320, 258, 1162, 279, 8761, 13001, 3604, 3782, 389, 323, 90216, 1124, 570, 6419, 279, 3185, 315, 279, 7458, 574, 5439, 11, 3451, 8598, 61563, 369, 61563, 24535, 8489, 11, 520, 3325, 814, 3207, 10978, 11, 6230, 323, 603, 323, 584, 4805, 6230, 1203, 320, 269, 23749, 279, 4459, 40442, 449, 17392, 4027, 11, 889, 34672, 30, 2468, 3325, 279, 3016, 5334, 907, 369, 3300, 11, 832, 1648, 477, 2500, 4390, 4897, 19451, 3604, 3666, 9803, 279, 5410, 4033, 2077, 311, 4868, 24455, 13, 95504, 315, 1367, 2416, 349, 5274, 13077, 555, 22277, 5315, 374, 4279, 11, 5423, 304, 5707, 17843, 5789, 13, 1102, 6118, 8638, 449, 264, 5743, 315, 7931, 30240, 2680, 555, 8996, 3445, 323, 1243, 21939, 1825, 682, 279, 14365, 323, 11276, 1405, 59723, 279, 2800, 315, 279, 14458, 34044, 505, 279, 23902, 24923, 902, 814, 1047, 44133, 5694, 323, 27402, 304, 13, 7648, 5220, 323, 682, 7447, 5392, 367, 1147, 617, 12332, 32467, 62534, 6832, 34707, 14523, 433, 374, 311, 37667, 449, 279, 293, 17718, 12881, 430, 706, 1120, 84545, 279, 4689, 6783, 11, 2728, 279, 4868, 6783, 264, 1695, 26092, 323, 3451, 2808, 261, 660, 529, 279, 272, 5048, 268, 38681, 56794, 7215, 11, 279, 33962, 1960, 753, 36086, 323, 682, 279, 35519, 87860, 323, 27306, 16712, 430, 1436, 387, 1766, 304, 279, 4857, 13, 75311, 7246, 6118, 5900, 2555, 1093, 420, 512, 34868, 23896, 320, 43591, 8002, 7870, 304, 832, 1450, 11, 26310, 296, 5174, 660, 6638, 85855, 505, 9979, 304, 279, 1023, 1680, 3451, 2675, 617, 539, 2322, 701, 30255, 311, 279, 4029, 11, 584, 1390, 7032, 369, 682, 1521, 13305, 72434, 1115, 520, 264, 8286, 323, 21261, 315, 264, 735, 569, 18022, 7091, 21497, 19114, 627, 34868, 84757, 3416, 20148, 320, 34, 1623, 1680, 3451, 4071, 220, 1490, 4, 315, 1057, 8420, 2586, 505, 701, 4029, 11, 584, 617, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2028, 2802, 315, 10705, 8040, 439, 358, 4070, 1027, 1701, 11213, 20111, 916, 2533, 2212, 220, 679, 16, 13, 358, 11352, 430, 433, 706, 264, 6710, 315, 3241, 902, 584, 649, 1629, 520, 2162, 11, 323, 449, 279, 1314, 9863, 315, 12035, 11, 690, 387, 10695, 311, 8737, 369, 25761, 323, 3708, 279, 828, 311, 279, 1925, 2816, 627, 791, 4623, 374, 430, 25761, 13195, 872, 3649, 11, 3813, 11, 5099, 13, 927, 65335, 7826, 13, 4314, 527, 539, 25461, 323, 5606, 449, 264, 220, 7743, 15, 38592, 14291, 649, 3820, 709, 1884, 17738, 13, 3011, 753, 5128, 1790, 1148, 584, 690, 1977, 13, 362, 48665, 21286, 4401, 21286, 20111, 11, 323, 1701, 264, 328, 7842, 73836, 273, 311, 5371, 279, 220, 7743, 15, 38592, 17738, 627, 861, 315, 6956, 2631, 198, 8586, 527, 279, 2574, 499, 4805, 1205, 11, 358, 4805, 4430, 856, 2242, 13, 1472, 649, 8464, 311, 279, 21286, 20111, 4033, 1772, 369, 1023, 3649, 627, 12, 48665, 21286, 1389, 21877, 750, 264, 48665, 21286, 220, 17, 13, 1561, 261, 374, 2731, 13, 358, 3940, 449, 279, 1176, 9659, 21286, 426, 10, 323, 279, 14266, 374, 2288, 2362, 311, 6493, 1695, 5178, 627, 12, 15354, 3772, 369, 701, 432, 35867, 1389, 4461, 264, 18654, 5608, 320, 64, 5314, 5973, 13, 1380, 19824, 8, 3786, 13, 2468, 3325, 220, 23, 5494, 690, 387, 1695, 627, 12, 362, 328, 7842, 11602, 73836, 273, 1389, 328, 7842, 374, 4476, 69946, 13792, 11, 902, 374, 264, 3756, 430, 374, 3025, 311, 26306, 311, 264, 6908, 2134, 315, 34873, 13, 358, 1097, 1701, 279, 2360, 4748, 35853, 64051, 18, 15075, 505, 8339, 83412, 13, 578, 6462, 3782, 449, 87851, 627, 12, 510, 15669, 60, 362, 7200, 1522, 4141, 1389, 1115, 374, 311, 4335, 709, 279, 4036, 8450, 311, 279, 2134, 315, 34873, 584, 1390, 13, 18056, 4994, 315, 279, 7427, 584, 5128, 1790, 1193, 1205, 220, 7743, 15, 38592, 11, 420, 4141, 358, 1097, 1701, 11, 1903, 11951, 369, 27675, 20111, 5764, 220, 17272, 38592, 13, 1102, 374, 2500, 8450, 1511, 555, 25761, 304, 279, 2326, 13, 358, 649, 1518, 430, 449, 279, 4141, 21286, 20111, 374, 3025, 311, 3820, 709, 810, 6743, 627, 5159, 3230, 1977, 320, 49, 37062, 21286, 220, 18, 340, 12, 48665, 21286, 220, 18, 5008, 426, 10, 1389, 358, 617, 420, 21286, 369, 1690, 1667, 11, 323, 304, 3878, 315, 5178, 433, 5992, 311, 387, 810, 1109, 3403, 369, 21286, 20111, 13, 358, 5918, 264, 2132, 27675, 6251, 7442, 449, 264, 48665, 21286, 220, 19, 5008, 426, 220, 23, 5494, 430, 358, 15075, 505, 18221, 35785, 627, 12, 48665, 21286, 10984, 11915, 1389, 279, 832, 358, 11021, 374, 912, 5129, 2561, 389, 8339, 11, 719, 433, 5992, 4528, 311, 420, 627, 12, 220, 18, 13, 20, 22308, 22745, 4264, 1389, 279, 832, 358, 11021, 374, 912, 5129, 2561, 389, 8339, 11, 719, 433, 5992, 4528, 311, 420, 13, 1115, 706, 264, 2294, 7580, 505, 21286, 20111, 220, 19, 13, 15, 13, 578, 11349, 4264, 555, 21286, 20111, 374, 279, 468, 402, 4385, 548, 220, 18, 13, 20, 22308, 627, 12, 18654, 5608, 6938, 1389, 358, 4344, 264, 1317, 4751, 8847, 3267, 37563, 11, 323, 617, 264, 220, 843, 5494, 3786, 304, 856, 48665, 21286, 220, 18, 627, 12, 7572, 1389, 1701, 264, 1695, 2410, 13253, 369, 279, 48665, 21286, 374, 3062, 13, 358, 4070, 50350, 279, 2653, 1648, 11, 323, 1097, 1457, 1193, 38072, 311, 279, 4113, 13253, 505, 48665, 21286, 13, 578, 3885, 358, 4070, 1511, 649, 1431, 14201, 279, 22465, 520, 5190, 2410, 4128, 13, 3861, 4788, 374, 264, 5190, 22359, 7447, 2700, 1556, 7197, 45669, 902, 358, 1005, 369, 856, 4641, 23468, 8216, 13, 3011, 374, 459, 927, 11088, 369, 832, 21286, 3582, 627, 12, 328, 7842, 1389, 2360, 4748, 35853, 64051, 220, 18, 430, 358, 11713, 505, 8339, 83412, 627, 12, 220, 17272, 38592, 612, 220, 7743, 15, 38592, 17366, 10175, 12619, 1389, 358, 656, 1505, 430, 856, 743, 709, 374, 12588, 810, 6743, 1306, 7999, 279, 4141, 13, 1102, 374, 10309, 369, 2771, 627, 19805, 40245, 8773, 198, 40, 2834, 1431, 733, 1139, 279, 3649, 311, 42840, 279, 6956, 3871, 13, 358, 690, 3350, 922, 279, 3241, 13189, 13, 3277, 358, 1550, 420, 11, 433, 574, 2103, 21286, 20111, 220, 18, 2036, 323, 1070, 527, 264, 2478, 7504, 311, 733, 1555, 13, 1472, 4805, 1390, 311, 4667, 701, 13939, 11, 8814, 323, 42150, 8891, 311, 279, 48665, 21286, 369, 279, 743, 709, 13, 3277, 499, 527, 2884, 11, 499, 1288, 539, 1205, 1521, 904, 810, 11, 323, 279, 3756, 649, 198, 12, 5629, 709, 374, 311, 636, 3412, 315, 279, 48665, 21286, 2417, 1435, 505, 85146, 65, 618, 82077, 2726, 13, 5560, 279, 5652, 48665, 21286, 220, 843, 11777, 10293, 13, 39397, 505, 279, 4033, 3997, 374, 5128, 1695, 311, 636, 499, 3347, 420, 1486, 13, 1442, 499, 617, 459, 6484, 21286, 11, 1304, 2771, 499, 527, 520, 3325, 389, 96587, 4984, 627, 12, 15354, 709, 701, 48665, 21286, 1389, 14749, 279, 2768, 198, 12, 3636, 369, 279, 1217, 9115, 320, 333, 499, 1390, 311, 2349, 264, 6059, 11, 733, 8469, 340, 12, 7431, 30330, 1389, 1005, 51010, 2554, 26187, 198, 12, 14749, 29130, 1389, 1005, 51010, 2554, 26187, 439, 1664, 369, 34517, 5110, 198, 12, 2175, 279, 328, 7842, 3318, 449, 48665, 21286, 198, 12, 4314, 527, 279, 7504, 358, 8272, 505, 2360, 4748, 35853, 3997, 627, 12, 4343, 430, 701, 328, 7842, 374, 16914, 555, 48665, 21286, 10293, 198, 12, 4343, 430, 279, 1670, 33876, 65, 12050, 617, 1027, 6799, 555, 48665, 21286, 10293, 13, 1666, 1317, 439, 1063, 5238, 527, 6052, 11, 12050, 527, 6799, 198, 2554, 3, 20170, 2658, 765, 21332, 33876, 65, 198, 12, 5348, 1638, 279, 328, 7842, 73836, 273, 779, 430, 48665, 21286, 10293, 1587, 539, 2865, 279, 1670, 12050, 627, 2554, 3, 26481, 1722, 330, 11708, 1638, 33876, 65, 51963, 1745, 11805, 1591, 4239, 84, 1, 3662, 611, 12380, 39579, 53429, 962, 99645, 1638, 821, 43505, 14263, 198, 12, 1050, 4722, 279, 48665, 21286, 198, 2554, 3, 26481, 35692, 198, 12, 8955, 1578, 994, 433, 706, 2586, 709, 11, 323, 1817, 3131, 3941, 311, 1304, 2771, 279, 1670, 423, 37974, 12050, 527, 539, 6799, 11, 279, 1833, 3290, 2011, 539, 7692, 904, 2612, 627, 2554, 3, 20170, 2658, 765, 21332, 33876, 65, 198, 12, 9479, 584, 4685, 279, 2631, 12050, 369, 2360, 4748, 35853, 64051, 220, 18, 198, 2554, 3, 26481, 20697, 23304, 4685, 62160, 1355, 3696, 198, 12, 422, 1070, 753, 264, 198, 9726, 510, 56, 9809, 60, 41681, 11, 5268, 198, 12, 3277, 279, 14028, 374, 8308, 11, 584, 649, 656, 264, 4062, 1296, 198, 12, 3821, 279, 2612, 369, 922, 220, 20, 82, 12, 605, 82, 323, 1243, 3577, 53586, 7813, 311, 17257, 198, 12, 1472, 1390, 311, 1304, 2771, 701, 328, 7842, 73836, 273, 374, 16914, 323, 1070, 527, 912, 5675, 10688, 198, 12, 578, 12050, 369, 279, 64051, 18, 527, 5644, 11, 323, 584, 649, 3009, 520, 420, 961, 315, 279, 2360, 4748, 35853, 11470, 11, 439, 584, 656, 539, 1205, 279, 480, 80, 12940, 3241, 369, 21286, 20111, 627, 791, 2768, 7504, 527, 4529, 505, 279, 21286, 59893, 11630, 14028, 2199, 13, 358, 279, 2926, 14646, 1253, 6420, 922, 10488, 7743, 15, 11, 433, 374, 539, 264, 864, 5621, 33524, 520, 420, 6566, 13, 1442, 499, 1833, 279, 11470, 11, 433, 690, 1101, 3063, 311, 27730, 279, 3241, 627, 1688, 420, 1486, 11, 279, 25329, 374, 430, 279, 48665, 21286, 374, 8599, 311, 279, 4009, 323, 706, 2680, 311, 279, 8191, 13, 23212, 11, 279, 328, 7842, 73836, 273, 374, 2736, 743, 709, 304, 279, 6931, 7504, 3485, 627, 12, 8745, 264, 3048, 315, 279, 21286, 59893, 14028, 6462, 11, 8464, 311, 279, 4033, 2199, 369, 904, 6177, 11028, 13, 6588, 279, 3770, 304, 279, 2162, 6352, 315, 279, 9115, 1217, 627, 2554, 3, 65608, 3788, 1129, 39490, 20111, 916, 14, 7819, 65, 63328, 20111, 34320, 74019, 4420, 1786, 63328, 20111, 4420, 63328, 20111, 57047, 63328, 20111, 5621, 3176, 62, 19, 13, 15, 5823, 81831, 198, 2554, 3, 26481, 11581, 7501, 482, 72, 9115, 20111, 5621, 3176, 62, 19, 13, 15, 5823, 81831, 198, 12, 8745, 9013, 323, 20113, 369, 48665, 21286, 10293, 198, 2554, 3, 26481, 20697, 23304, 2713, 198, 2554, 3, 26481, 20697, 23304, 4685, 9115, 20111, 198, 12, 4800, 11, 9115, 20111, 374, 10487, 11, 323, 584, 690, 1304, 264, 5743, 315, 2242, 4442, 311, 2187, 3313, 9013, 315, 9115, 20111, 13, 1442, 499, 1093, 311, 617, 11630, 2585, 11, 1243, 10936, 420, 3094, 627, 2554, 3, 26481, 9115, 20111, 26187, 2187, 20533, 5352, 6528, 10035, 198, 2554, 3, 26481, 9115, 20111, 26187, 2187, 21110, 940, 5352, 6528, 10035, 198, 12, 9479, 374, 311, 4685, 10488, 7743, 15, 323, 10488, 17272, 11, 1855, 315, 1521, 649, 1935, 264, 2697, 810, 892, 198, 2554, 3, 26481, 20697, 23304, 4685, 10488, 7743, 15, 2269, 64, 198, 2554, 3, 26481, 20697, 23304, 4685, 10488, 17272, 2269, 64, 198, 12, 2052, 14028, 706, 8308, 11, 584, 4805, 1205, 264, 35692, 198, 2554, 3, 26481, 35692, 198, 8861, 279, 27675, 6251, 7442, 311, 701, 27675, 59893, 2759, 198, 2746, 499, 4070, 1027, 2768, 279, 7504, 2533, 279, 1212, 315, 420, 1772, 11, 520, 420, 1486, 11, 499, 1288, 617, 264, 7373, 16003, 27675, 6251, 7442, 13, 1442, 279, 3463, 12775, 1431, 28129, 701, 4059, 3686, 11, 1095, 757, 31225, 433, 1457, 13, 2650, 656, 499, 22712, 279, 502, 27675, 6251, 7442, 449, 701, 27675, 59893, 2759, 627, 5451, 323, 43780, 11, 422, 499, 9167, 1431, 3549, 459, 2759, 389, 27675, 59893, 916, 499, 617, 311, 656, 433, 1457, 13, 1102, 1288, 387, 264, 14595, 1879, 709, 1920, 902, 358, 3987, 499, 527, 11537, 449, 627, 12805, 701, 2759, 374, 5644, 11, 4295, 709, 279, 5665, 3788, 1129, 39490, 20111, 916, 14, 7819, 65, 63328, 20111, 14, 8017, 13, 9843, 499, 636, 1070, 11, 499, 4805, 1518, 264, 2199, 449, 279, 3770, 627, 2181, 374, 264, 23490, 7941, 1920, 13, 358, 1781, 279, 1401, 374, 430, 279, 6500, 499, 527, 1701, 311, 4295, 279, 5665, 374, 389, 279, 1890, 4009, 439, 701, 48665, 21286, 13, 3092, 8101, 374, 430, 279, 27675, 59893, 3997, 374, 3025, 311, 44917, 430, 2225, 279, 432, 35867, 323, 701, 6500, 527, 11821, 279, 1890, 586, 6933, 2686, 11, 323, 1070, 374, 5131, 459, 653, 21974, 2937, 13, 1102, 690, 1120, 22712, 430, 2937, 449, 701, 2759, 627, 2675, 527, 5128, 1790, 2884, 13, 2684, 527, 1063, 5110, 499, 649, 1514, 2212, 449, 389, 701, 65335, 7826, 3926, 7442, 25647, 2199, 13, 578, 5110, 358, 24891, 1051, 11, 323, 304, 8668, 25, 7058, 12, 13207, 4076, 198, 12, 52052, 10067, 198, 12, 52459, 389, 56769, 5135, 198, 12, 4470, 425, 72966, 198, 12, 4275, 15795, 21348, 198, 2028, 574, 264, 2523, 3217, 323, 2751, 757, 311, 387, 810, 11537, 449, 856, 48665, 21286, 13, 6104, 3815, 420, 11, 279, 21286, 59893, 220, 19, 13, 15, 4984, 3782, 704, 323, 433, 5764, 264, 5918, 304, 1862, 369, 279, 220, 18, 13, 20, 22308, 22745, 4264, 13, 1115, 374, 2294, 439, 358, 617, 420, 4264, 369, 264, 5743, 315, 1667, 1457, 11, 719, 2646, 1047, 264, 1695, 1005, 369, 433, 627, 40, 3987, 499, 1505, 420, 5505, 13, 358, 4070, 3779, 304, 1063, 3649, 430, 1051, 539, 2867, 449, 279, 4113, 11470, 13, 358, 4070, 11763, 1521, 7504, 264, 2478, 3115, 1457, 1418, 358, 5918, 323, 60685, 856, 27675, 30016, 388, 11, 358, 3987, 433, 374, 2867, 3403, 369, 5606, 775, 889, 25223, 311, 3041, 420, 264, 1456, 627, 644, 264, 3938, 1772, 11, 358, 4805, 4430, 856, 3217, 56228, 311, 21286, 59893, 311, 220, 19, 13, 15, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2675, 1440, 11, 1475, 3131, 304, 264, 1418, 433, 596, 264, 1695, 4623, 311, 11819, 701, 836, 11, 362, 27542, 37374, 1355, 30463, 13, 2650, 775, 1053, 358, 1440, 430, 358, 2846, 1694, 24116, 304, 18228, 6787, 330, 8989, 458, 26181, 15100, 430, 1131, 3343, 353, 2059, 57229, 20517, 358, 1101, 1766, 704, 2555, 3062, 369, 990, 320, 64, 3717, 311, 279, 2068, 539, 1903, 8, 430, 358, 574, 3025, 311, 617, 8521, 13, 2100, 37374, 58840, 374, 1695, 0, 358, 1288, 617, 2884, 433, 389, 990, 892, 4999, 4354, 2046, 596, 7422, 323, 3815, 17036, 1828, 2046, 596, 7422, 323, 3815, 198, 2028, 10368, 1101, 706, 14618, 704, 311, 757, 1268, 1633, 11, 1633, 3958, 459, 2613, 49664, 358, 3077, 1027, 13, 358, 1097, 4560, 311, 387, 2731, 0, 59121, 757, 0, 1628, 358, 2846, 2731, 1109, 358, 617, 1027, 304, 279, 3347, 627, 32, 13326, 2046, 11, 449, 264, 32349, 26129, 11, 264, 17422, 26129, 11, 264, 31181, 290, 4410, 13093, 6574, 11, 990, 11, 2324, 11, 1989, 13, 358, 15243, 311, 60771, 889, 374, 389, 1077, 1648, 311, 279, 90895, 713, 276, 15379, 13, 358, 1373, 323, 49614, 323, 6267, 323, 10212, 264, 15860, 315, 2574, 369, 6412, 389, 4376, 916, 323, 39516, 916, 323, 6216, 264, 2478, 315, 1124, 13, 358, 6476, 449, 71471, 323, 1077, 1069, 81378, 50876, 320, 1964, 19214, 22068, 8, 323, 617, 1077, 264, 3830, 311, 1514, 449, 323, 264, 5684, 9145, 13, 1226, 1047, 264, 11364, 14177, 520, 350, 15924, 596, 430, 1364, 30205, 323, 358, 3604, 41778, 264, 43849, 369, 279, 15496, 13, 1628, 584, 2751, 1935, 704, 369, 14177, 6740, 3814, 520, 1057, 19214, 2254, 27490, 10960, 13, 358, 1047, 264, 9099, 5916, 315, 20236, 719, 779, 9099, 430, 358, 3287, 956, 3194, 904, 990, 477, 1023, 4455, 313, 40, 1120, 1047, 18718, 54888, 1606, 315, 264, 5916, 315, 34653, 627, 4516, 11, 279, 2466, 3754, 369, 757, 374, 430, 358, 3287, 956, 4018, 856, 7013, 13, 358, 3077, 1027, 7422, 315, 433, 369, 4038, 323, 1047, 5616, 6773, 311, 11, 1524, 7111, 709, 279, 32776, 315, 3021, 2816, 311, 33009, 856, 7013, 311, 1124, 439, 856, 3197, 574, 311, 656, 430, 323, 1243, 311, 1212, 7214, 7982, 433, 704, 1578, 13, 358, 13205, 311, 617, 264, 13538, 323, 4740, 6945, 1618, 323, 4395, 313, 8248, 433, 596, 682, 2103, 13538, 13, 1628, 690, 7293, 13538, 369, 279, 79003, 3938, 11, 439, 11641, 27115, 14264, 810, 23268, 520, 279, 1633, 4623, 13, 2100, 1457, 584, 617, 264, 3568, 313, 383, 706, 311, 15998, 856, 7013, 369, 757, 520, 3325, 2380, 3115, 264, 2046, 13, 1226, 3358, 1518, 1268, 1317, 430, 40758, 13, 358, 3358, 1095, 499, 1440, 994, 279, 7013, 5334, 4018, 627, 2181, 596, 1120, 430, 358, 2846, 264, 2697, 34386, 449, 3515, 856, 7013, 1317, 11, 449, 433, 2744, 3411, 1093, 433, 3966, 77826, 11, 323, 449, 433, 3794, 10791, 304, 2574, 13, 61133, 433, 2751, 10791, 76699, 304, 279, 1841, 596, 10954, 19671, 439, 358, 574, 3794, 1139, 279, 1841, 13, 1628, 520, 3814, 994, 568, 4442, 2361, 39315, 23291, 389, 433, 323, 34145, 433, 13, 1102, 1101, 5334, 3958, 61317, 13, 1628, 433, 5097, 16058, 311, 9235, 627, 3112, 358, 2846, 1120, 5644, 369, 264, 2349, 627, 4071, 539, 3686, 11, 358, 8101, 627, 1687, 2751, 12131, 26224, 596, 220, 1041, 15, 23116, 315, 32495, 10948, 323, 617, 2216, 1027, 22128, 430, 323, 2751, 279, 502, 5651, 350, 4422, 779, 8776, 29036, 323, 29036, 21161, 13, 10291, 1457, 584, 2351, 5737, 264, 12131, 26224, 21497, 2624, 323, 584, 2351, 520, 330, 86295, 704, 279, 35270, 3343, 8681, 6392, 13, 6984, 311, 220, 1041, 15, 23116, 315, 32495, 10948, 25, 499, 9167, 956, 12439, 3156, 499, 3077, 6755, 12131, 26224, 7936, 330, 56372, 11, 358, 14910, 1102, 14077, 3343, 358, 1047, 912, 4623, 433, 574, 3604, 264, 15326, 5609, 627, 4354, 2046, 596, 14624, 17036, 1828, 2046, 596, 14624, 198, 10156, 2259, 4997, 942, 596, 18955, 11346, 374, 279, 4948, 11775, 315, 11074, 358, 3077, 1373, 320, 4151, 856, 6287, 220, 1313, 11, 220, 2550, 24, 323, 6664, 220, 975, 11, 220, 1049, 16, 10925, 369, 6170, 389, 1077, 3766, 32963, 8, 323, 420, 374, 459, 1524, 11493, 11775, 313, 64, 3634, 43516, 922, 279, 25382, 315, 279, 3117, 3823, 3938, 11, 323, 279, 15696, 315, 892, 11, 3634, 11, 323, 279, 15861, 13, 1102, 12302, 994, 264, 4376, 12, 26522, 5848, 3823, 320, 20670, 1650, 1521, 279, 1789, 3640, 323, 1521, 20566, 2134, 505, 11841, 60661, 630, 388, 311, 20229, 9622, 15232, 8, 889, 374, 264, 3634, 22477, 374, 23069, 11, 8552, 555, 3634, 35098, 994, 1364, 1505, 264, 2536, 70095, 37739, 13, 1102, 5084, 1093, 264, 4382, 26110, 11, 719, 311, 1077, 10988, 1364, 52114, 5084, 311, 617, 92659, 2410, 313, 275, 5097, 1077, 7214, 1203, 311, 279, 13238, 1887, 555, 1077, 17983, 6562, 311, 387, 1203, 1070, 13, 53485, 77037, 1534, 11, 1364, 28727, 420, 330, 87722, 1, 649, 387, 279, 2592, 315, 279, 1789, 3640, 55633, 505, 279, 2800, 315, 279, 3823, 7102, 11, 323, 279, 11841, 3221, 1405, 1364, 1766, 433, 649, 387, 872, 14850, 323, 279, 7314, 315, 872, 1866, 3857, 315, 279, 34261, 13, 1115, 374, 264, 6485, 11, 41765, 11775, 430, 1193, 2751, 2731, 369, 757, 439, 358, 1373, 433, 13, 51762, 627, 62786, 62982, 596, 10657, 22037, 374, 2500, 10535, 11775, 13, 358, 2744, 617, 9709, 16024, 922, 1077, 32963, 13, 2684, 596, 2555, 922, 1124, 430, 358, 3021, 313, 31606, 950, 2574, 313, 8248, 814, 2744, 5387, 757, 8430, 14091, 47365, 11, 430, 1070, 596, 2555, 1120, 7554, 369, 757, 922, 1148, 1364, 1587, 13, 1115, 374, 279, 17821, 3446, 315, 264, 50592, 5333, 889, 13208, 1157, 323, 8779, 27208, 264, 893, 889, 574, 304, 264, 11277, 36850, 520, 2380, 1667, 2362, 323, 889, 574, 7263, 709, 555, 56271, 13, 1628, 1243, 814, 4498, 304, 3021, 13, 2052, 420, 17395, 555, 1077, 30607, 3811, 10177, 11, 1077, 34268, 4538, 323, 813, 1176, 837, 3021, 11, 1077, 10868, 596, 3575, 320, 1964, 10868, 1120, 8741, 311, 387, 279, 8545, 893, 596, 73969, 705, 323, 264, 4101, 315, 520, 1176, 10065, 1243, 3823, 16779, 13, 358, 1781, 856, 3575, 1618, 374, 1405, 279, 17821, 5596, 3621, 814, 1541, 956, 2733, 1093, 11204, 311, 11, 1120, 75082, 4477, 11, 779, 358, 1541, 956, 7095, 279, 5150, 11204, 13, 358, 1541, 956, 1440, 13, 9029, 2567, 65774, 1124, 311, 757, 11, 779, 358, 2567, 4560, 1124, 13, 320, 10031, 856, 6250, 220, 1591, 339, 4441, 369, 2500, 30505, 62982, 4441, 340, 4354, 2046, 596, 5403, 17036, 1828, 2046, 596, 5403, 198, 32, 502, 33894, 0, 358, 649, 956, 6227, 994, 358, 1566, 6267, 264, 502, 33894, 13, 1628, 832, 358, 2846, 2216, 5115, 6380, 449, 627, 791, 11775, 24493, 33824, 48946, 264, 2697, 11, 4245, 311, 264, 5743, 315, 2919, 994, 358, 10968, 856, 6666, 389, 279, 33894, 11, 719, 814, 1550, 3136, 3131, 358, 10717, 1694, 44898, 555, 279, 33894, 627, 40, 2846, 18949, 13, 358, 4265, 6051, 1027, 40876, 922, 1268, 2697, 6666, 358, 3077, 1027, 12798, 311, 5403, 477, 4477, 32349, 323, 3940, 312, 12, 6285, 1063, 19214, 32349, 6603, 323, 11096, 459, 2613, 1160, 430, 24400, 389, 3278, 323, 32349, 13, 2876, 430, 358, 1205, 3686, 2500, 2613, 1160, 11, 719, 358, 656, 1205, 311, 387, 31256, 315, 1268, 1790, 32349, 13146, 311, 757, 11, 323, 433, 596, 892, 311, 387, 15246, 311, 502, 74072, 323, 6848, 922, 32349, 627, 4354, 2046, 596, 4477, 17036, 1828, 2046, 596, 4477, 198, 33877, 220, 2550, 16, 25, 27852, 311, 9635, 449, 11641, 323, 60771, 198, 34774, 11, 7552, 220, 1032, 11, 220, 2550, 16, 198, 33562, 709, 304, 892, 369, 17954, 11, 719, 7366, 14297, 627, 5451, 584, 4024, 311, 2009, 88873, 4783, 313, 5746, 713, 788, 50961, 11, 35217, 11, 18341, 11, 323, 33589, 11, 9172, 555, 21130, 313, 276, 8056, 6437, 11, 6348, 3422, 1189, 323, 11204, 13, 70707, 16252, 82970, 3130, 449, 264, 57713, 13, 34496, 14769, 17277, 499, 7111, 11, 1063, 11763, 11, 719, 10213, 12756, 2204, 304, 279, 5438, 288, 315, 279, 3321, 16712, 11, 279, 6558, 11, 279, 14620, 709, 311, 264, 1579, 58438, 22959, 449, 61152, 9168, 313, 54760, 17104, 13, 17646, 826, 6957, 279, 2800, 315, 279, 3838, 313, 86, 11364, 23809, 5034, 90405, 555, 18530, 261, 12278, 3233, 11, 1063, 68782, 555, 2009, 88873, 5678, 13, 578, 5955, 3130, 520, 279, 1948, 315, 279, 32249, 574, 279, 41044, 3039, 323, 1047, 6051, 1027, 28101, 11, 38467, 6520, 11364, 23162, 44952, 320, 92062, 956, 636, 304, 430, 8, 430, 927, 57932, 279, 82970, 3130, 313, 88044, 6453, 7732, 1841, 85, 826, 627, 49949, 291, 2212, 96833, 264, 2697, 27905, 3411, 12018, 40086, 369, 11641, 320, 32050, 570, 800, 18033, 1022, 520, 5340, 299, 5469, 313, 96470, 323, 2523, 11, 2751, 15600, 369, 90134, 459, 912, 832, 1047, 3596, 6755, 315, 21077, 596, 1847, 662, 5112, 264, 1317, 11, 1317, 12141, 389, 279, 436, 3845, 311, 279, 842, 315, 279, 23225, 1584, 520, 468, 1902, 309, 267, 363, 323, 264, 294, 411, 727, 4321, 311, 279, 12656, 30283, 24925, 627, 2181, 574, 264, 2697, 39223, 11, 5423, 304, 3177, 315, 279, 2009, 88873, 4783, 11, 719, 433, 574, 11364, 311, 1518, 1972, 9863, 315, 279, 44686, 323, 279, 53054, 323, 279, 14891, 6319, 555, 279, 2883, 13, 362, 2763, 315, 2574, 555, 813, 13734, 627, 3915, 1070, 584, 4024, 11, 36001, 11, 311, 473, 43157, 44774, 662, 12595, 279, 16333, 2265, 27315, 11, 13061, 709, 1057, 14741, 11, 323, 1766, 264, 11364, 426, 15931, 369, 264, 330, 2067, 363, 704, 1, 15496, 13, 60771, 323, 11641, 1047, 37547, 313, 47100, 612, 58466, 11, 31735, 612, 60610, 313, 40, 1047, 264, 18406, 39406, 1812, 543, 919, 449, 48438, 627, 10227, 56499, 315, 56750, 1, 3940, 520, 220, 22, 25, 966, 13, 1226, 1051, 14470, 1579, 709, 320, 2201, 2531, 3130, 11, 1633, 4106, 8, 719, 1436, 1518, 1664, 13, 1102, 574, 264, 15234, 5788, 11, 449, 32527, 15407, 320, 2017, 51908, 8, 323, 927, 1773, 2453, 780, 4731, 1990, 6237, 4442, 11, 743, 304, 279, 220, 508, 82, 11, 719, 1047, 1695, 14269, 313, 7229, 689, 612, 1443, 88, 1039, 11, 5423, 13, 578, 2800, 315, 279, 15718, 574, 4400, 1633, 3361, 313, 17555, 82513, 574, 3958, 11, 5596, 39532, 20303, 627, 51, 83071, 279, 842, 994, 5127, 574, 9204, 709, 520, 5896, 689, 596, 320, 9210, 596, 1268, 433, 9508, 570, 35272, 19813, 311, 11011, 4423, 5108, 323, 1070, 596, 264, 1841, 21281, 11, 41659, 5770, 9922, 304, 264, 3937, 5620, 32519, 320, 67, 5100, 323, 95090, 8, 323, 358, 6688, 264, 4224, 371, 315, 43214, 320, 1962, 832, 775, 304, 279, 10877, 1550, 8, 1405, 10924, 60771, 323, 358, 36014, 449, 43214, 320, 37734, 264, 2697, 11, 2288, 8, 369, 264, 1695, 4330, 4520, 13, 2100, 28093, 911, 9373, 323, 30571, 13, 5896, 689, 304, 15310, 32703, 978, 1102, 574, 1093, 430, 313, 2017, 398, 20303, 9660, 320, 1820, 6453, 42826, 8, 323, 39532, 8987, 320, 3059, 343, 568, 321, 56910, 1120, 520, 279, 842, 315, 1443, 88, 1039, 596, 18506, 570, 42482, 559, 606, 1555, 433, 11, 8994, 279, 45188, 323, 430, 28093, 911, 35594, 477, 8530, 1606, 315, 433, 313, 1820, 1495, 9508, 17354, 50592, 505, 1148, 574, 311, 387, 3970, 389, 6566, 627, 7778, 11, 1633, 98208, 11, 1554, 12160, 15653, 682, 2212, 11, 34853, 311, 4950, 627, 16, 13, 4314, 1051, 682, 54764, 358, 574, 50698, 369, 4885, 198, 17, 13, 86822, 2718, 11, 1606, 30283, 1047, 264, 3831, 3717, 449, 473, 43157, 44774, 627, 4354, 2046, 596, 2362, 8486, 17036, 1828, 2046, 596, 2362, 8486, 198, 5966, 10563, 17036, 11876, 14582, 33903, 1963, 17036, 9479, 10563 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 38255, 25, 2650, 311, 19796, 264, 423, 670, 1752, 20217, 28910, 482, 32558, 198, 19182, 22172, 11, 358, 2846, 28217, 43822, 79, 2933, 404, 13, 358, 3974, 304, 4987, 29974, 1405, 279, 10182, 374, 1633, 4106, 323, 67038, 369, 810, 1109, 4376, 315, 279, 1060, 13, 358, 8493, 264, 2763, 315, 892, 304, 856, 26129, 11, 779, 358, 6773, 311, 4685, 264, 32558, 13726, 6859, 10807, 323, 8798, 14155, 369, 9499, 323, 38193, 2585, 13, 578, 4491, 24882, 32558, 220, 972, 11, 931, 21795, 52, 220, 16, 13, 20, 31816, 423, 670, 1752, 20217, 6354, 2344, 6690, 15534, 261, 323, 27162, 34826, 320, 2590, 25, 32558, 12, 972, 12, 6748, 12, 9870, 32, 8, 5052, 856, 3966, 11, 779, 358, 15075, 279, 5089, 627, 6919, 8845, 323, 5492, 8410, 198, 5159, 26129, 374, 264, 8821, 4857, 505, 856, 1925, 3838, 323, 433, 706, 220, 17, 5990, 13, 578, 1176, 2237, 374, 856, 26129, 323, 279, 2132, 2237, 374, 856, 2162, 5274, 13, 358, 6773, 433, 574, 1888, 311, 4148, 279, 4113, 66433, 1887, 13, 1102, 574, 1633, 2362, 323, 539, 5922, 279, 2853, 315, 13023, 627, 40, 6773, 311, 4685, 264, 45339, 1752, 13726, 6859, 304, 856, 2162, 5274, 2391, 279, 4498, 315, 220, 679, 21, 13, 4740, 1690, 4207, 315, 3495, 11, 358, 10487, 279, 4491, 24882, 32558, 220, 972, 11, 931, 21795, 52, 220, 16, 13, 20, 31816, 423, 670, 1752, 20217, 6354, 2344, 6690, 15534, 261, 323, 27162, 34826, 320, 2590, 25, 32558, 12, 972, 12, 6748, 12, 9870, 32, 8, 369, 856, 2162, 5274, 13, 358, 1550, 539, 11196, 922, 28015, 477, 24494, 856, 63891, 26129, 1606, 12688, 574, 3221, 13, 23212, 11, 358, 6773, 311, 1296, 279, 5178, 315, 279, 45339, 1752, 13726, 6859, 304, 856, 2162, 5274, 1603, 30230, 389, 264, 28015, 323, 24494, 1887, 369, 856, 26129, 13, 36202, 358, 574, 82374, 14792, 449, 279, 5178, 315, 279, 32558, 13726, 6859, 304, 856, 2162, 5274, 323, 6773, 311, 7782, 279, 1890, 5089, 369, 856, 26129, 13, 358, 9687, 1268, 311, 4685, 264, 13726, 6859, 2391, 279, 1176, 14028, 11, 779, 358, 6773, 311, 1304, 264, 2835, 323, 2246, 856, 2132, 13726, 6859, 14028, 627, 10445, 420, 20217, 28910, 198, 40, 14896, 279, 4491, 24882, 32558, 13726, 6859, 320, 2590, 32558, 12, 972, 12, 6748, 12, 9870, 32, 8, 1606, 315, 32558, 14028, 11, 3430, 11, 4519, 11, 323, 1404, 627, 12555, 24882, 32558, 13726, 41567, 527, 32558, 8316, 439, 279, 836, 24897, 13, 578, 30477, 519, 5238, 527, 864, 11843, 93349, 449, 432, 14487, 32, 30477, 519, 11, 902, 60944, 279, 1205, 369, 264, 6721, 14028, 13, 578, 4491, 24882, 13726, 6859, 4685, 1920, 374, 31439, 369, 459, 29539, 311, 11084, 32558, 529, 261, 1389, 1817, 704, 856, 2835, 13, 358, 9687, 1268, 311, 4685, 264, 13726, 6859, 449, 8844, 4228, 555, 2768, 279, 11470, 3984, 449, 279, 5089, 627, 791, 2860, 3430, 369, 279, 4491, 24882, 32558, 20217, 28910, 574, 400, 16, 11, 21675, 13, 410, 5636, 400, 1135, 13, 410, 369, 279, 7147, 6606, 32742, 13, 578, 2860, 3430, 574, 400, 3965, 22, 13, 410, 1603, 3827, 627, 40, 4036, 5361, 17637, 505, 66433, 15749, 389, 27730, 264, 4528, 5089, 311, 279, 4491, 24882, 32558, 12, 972, 12, 6748, 12, 9870, 32, 323, 279, 7729, 41829, 505, 220, 17, 13, 20, 311, 220, 18, 3115, 810, 1109, 279, 4491, 24882, 32558, 13726, 6859, 13, 2684, 527, 7995, 1690, 8125, 323, 22934, 311, 24009, 459, 66433, 6721, 311, 4685, 264, 13726, 6859, 477, 21349, 1887, 13, 1115, 574, 856, 26129, 323, 2162, 5274, 26, 9093, 11, 358, 6773, 433, 574, 5922, 279, 5326, 311, 3780, 279, 32558, 13726, 6859, 5089, 323, 4685, 433, 7182, 13, 1442, 358, 1051, 17011, 449, 279, 1890, 5597, 369, 856, 2162, 11, 358, 4762, 1053, 617, 12146, 311, 18467, 459, 66433, 6721, 13, 1050, 631, 481, 66433, 15749, 15803, 872, 14028, 11, 1862, 14290, 61913, 11, 323, 3493, 2532, 20038, 627, 55313, 328, 40133, 19579, 8776, 8792, 66433, 6067, 527, 7953, 279, 7036, 315, 420, 4652, 13, 1442, 499, 527, 17011, 449, 420, 5597, 11, 358, 15253, 499, 3495, 1521, 13650, 323, 10491, 1148, 374, 1888, 369, 701, 6671, 323, 4676, 627, 12555, 24882, 32558, 20289, 198, 791, 4519, 315, 279, 4491, 24882, 32558, 13726, 6859, 7396, 856, 3966, 1524, 3582, 433, 1253, 539, 617, 279, 4519, 315, 810, 11646, 16097, 13, 21883, 527, 279, 4519, 358, 1093, 1455, 512, 86174, 8798, 14155, 323, 10807, 5089, 627, 697, 1658, 7420, 519, 81373, 18468, 1887, 26420, 279, 1887, 27149, 30820, 2085, 53568, 4245, 311, 56488, 627, 96651, 13253, 6276, 433, 311, 387, 8599, 311, 279, 8191, 323, 14400, 39529, 4669, 459, 917, 1196, 44290, 512, 22, 1060, 59977, 323, 220, 20, 1060, 5596, 95343, 51623, 512, 3226, 67, 7209, 12395, 10959, 627, 43, 15170, 12661, 14171, 323, 4593, 24992, 23099, 627, 12555, 24882, 32558, 20217, 28910, 8645, 198, 3947, 527, 2204, 4491, 24882, 32558, 13726, 6859, 1404, 4211, 369, 2204, 1404, 5789, 13, 578, 4491, 24882, 32558, 13726, 6859, 1646, 358, 15075, 323, 10487, 14861, 220, 16217, 9518, 7693, 13, 358, 574, 11920, 449, 279, 220, 972, 39615, 1579, 56814, 304, 856, 26129, 11, 779, 358, 15075, 420, 5089, 902, 14861, 810, 9518, 7693, 1109, 856, 26129, 13, 3092, 26129, 374, 13489, 220, 5067, 9518, 7693, 627, 4438, 311, 19796, 264, 20217, 28910, 35907, 198, 40, 3358, 279, 1925, 7504, 358, 10887, 311, 4685, 279, 4491, 24882, 32558, 13726, 6859, 13, 4314, 7504, 3493, 264, 1695, 24131, 315, 279, 1920, 13, 1115, 1920, 374, 539, 8967, 311, 8454, 279, 17032, 11470, 26, 4856, 11, 433, 374, 264, 69051, 12576, 13, 2893, 2771, 311, 1817, 704, 856, 2835, 369, 810, 5217, 7872, 627, 8468, 220, 16, 25, 14173, 323, 1252, 90274, 198, 16992, 358, 1511, 304, 420, 2447, 512, 40, 11713, 279, 4491, 24882, 32558, 13726, 6859, 2930, 323, 433, 11721, 304, 220, 17, 15039, 25, 279, 4994, 9955, 60544, 5089, 323, 279, 4871, 5089, 13, 11995, 15039, 1051, 47237, 1633, 1664, 13, 358, 62884, 1855, 961, 369, 5674, 1633, 15884, 13, 578, 30477, 519, 38600, 374, 8599, 311, 279, 4871, 5089, 323, 20037, 449, 264, 12466, 41394, 323, 18623, 40809, 627, 8468, 220, 17, 25, 1666, 16167, 9935, 86597, 198, 8468, 220, 18, 25, 10640, 28468, 8113, 198, 40, 1511, 279, 9501, 32742, 323, 55043, 3896, 311, 6606, 279, 4871, 5089, 627, 10438, 39547, 11, 358, 12673, 279, 24659, 38600, 323, 10273, 369, 904, 7902, 555, 4401, 3090, 1555, 433, 627, 40, 14896, 311, 6606, 279, 4871, 5089, 520, 279, 1203, 7147, 315, 856, 26129, 3770, 279, 62862, 13, 9636, 4725, 13463, 11, 279, 4871, 5089, 374, 22563, 6089, 311, 264, 7147, 11, 719, 279, 1203, 7147, 304, 856, 8221, 374, 539, 10728, 369, 3805, 6530, 13, 578, 1203, 7147, 3984, 17125, 2680, 311, 279, 1203, 315, 856, 26129, 323, 279, 20314, 49341, 3830, 13, 358, 20968, 264, 23162, 1862, 4124, 430, 18545, 279, 55043, 7147, 3896, 323, 52123, 22563, 433, 311, 279, 96321, 315, 279, 62862, 627, 5971, 11, 358, 14297, 30280, 279, 30477, 519, 5238, 311, 2489, 279, 3813, 1405, 358, 13205, 311, 31646, 279, 4974, 14512, 1389, 7833, 1203, 13, 578, 30477, 519, 5238, 649, 4974, 279, 5089, 311, 279, 1314, 11, 2163, 11, 477, 6089, 1203, 320, 2309, 374, 2163, 4390, 5971, 11, 358, 25078, 279, 12466, 326, 9296, 13, 578, 12466, 326, 9296, 1051, 539, 11102, 477, 20727, 627, 40, 30831, 279, 5089, 323, 743, 433, 389, 279, 9501, 32742, 627, 8468, 220, 19, 25, 77974, 52029, 612, 9767, 75258, 519, 13484, 198, 40, 68865, 279, 220, 18, 13, 20, 22308, 14512, 449, 264, 14512, 5602, 2766, 323, 220, 18, 14, 23, 22308, 802, 9552, 520, 264, 45578, 9392, 369, 6300, 58592, 627, 5971, 11, 358, 10487, 279, 4883, 12466, 37253, 1139, 279, 14512, 627, 40, 23114, 279, 30477, 519, 77579, 1555, 279, 14512, 13, 358, 7108, 279, 29219, 28979, 15411, 1306, 279, 77579, 574, 1555, 279, 7147, 627, 5971, 11, 358, 22563, 220, 17, 19833, 13260, 30777, 311, 279, 5740, 315, 279, 62862, 779, 279, 13961, 13190, 1436, 2800, 304, 1124, 323, 2567, 1124, 7833, 13, 358, 2231, 279, 24659, 38600, 1555, 279, 14512, 3770, 279, 30477, 519, 13961, 13190, 627, 3947, 574, 264, 11259, 6710, 311, 279, 12466, 13961, 11, 719, 358, 3287, 1431, 1005, 433, 13, 358, 3197, 311, 1977, 264, 3830, 311, 10477, 279, 30477, 519, 13961, 520, 264, 3010, 2457, 11, 779, 358, 6773, 311, 1005, 23749, 32183, 311, 26418, 279, 14512, 627, 8468, 220, 20, 25, 10640, 42251, 8113, 198, 791, 4994, 7147, 32742, 369, 279, 9955, 60544, 5089, 574, 4228, 311, 6606, 13, 358, 1903, 2771, 279, 5425, 1862, 6710, 574, 2237, 323, 27528, 433, 311, 279, 7147, 449, 46022, 13, 9479, 11, 358, 61014, 279, 220, 17, 1862, 11977, 389, 279, 5425, 1862, 6710, 627, 5971, 11, 358, 61014, 279, 220, 17, 1862, 11977, 389, 279, 5425, 1862, 6710, 627, 40, 6755, 264, 86424, 5222, 2212, 856, 39771, 1418, 34739, 279, 32742, 13, 358, 14000, 264, 574, 79, 23634, 922, 220, 21, 15271, 3201, 505, 856, 2531, 13, 63554, 11, 358, 3287, 1431, 636, 357, 2234, 555, 832, 315, 1124, 4999, 791, 4994, 9955, 60544, 5089, 50542, 220, 1490, 16701, 13, 1102, 753, 539, 1633, 8987, 11, 719, 433, 374, 8659, 29859, 13, 358, 9277, 279, 5089, 389, 279, 1862, 11977, 323, 1903, 2771, 279, 23506, 7693, 323, 49939, 1051, 27210, 12722, 13, 9479, 11, 358, 85820, 1124, 449, 264, 60588, 323, 7728, 627, 40, 1511, 856, 24924, 358, 15502, 309, 2237, 311, 1304, 2771, 279, 1948, 315, 279, 5089, 574, 14268, 2237, 627, 8468, 220, 21, 25, 13313, 75258, 519, 39333, 612, 45034, 198, 5971, 11, 358, 20037, 279, 13937, 30477, 519, 77579, 2212, 279, 4994, 315, 279, 32742, 304, 7029, 11, 20784, 30853, 13, 358, 7108, 279, 1948, 12466, 2107, 311, 29241, 279, 20314, 6956, 323, 279, 5740, 3090, 35788, 311, 29241, 279, 30477, 519, 77579, 627, 6153, 18054, 279, 12466, 57877, 389, 1948, 315, 279, 1579, 323, 3428, 3185, 11, 358, 7214, 12673, 279, 30477, 519, 77579, 627, 40, 27210, 279, 30477, 519, 32275, 323, 1903, 2771, 814, 1051, 539, 32647, 13, 4740, 358, 85820, 1855, 22733, 28087, 555, 1450, 11, 358, 85820, 279, 5740, 22733, 28087, 323, 1243, 279, 1948, 4184, 311, 279, 11470, 627, 791, 11470, 527, 1633, 3230, 11, 779, 358, 1903, 2771, 311, 1373, 1124, 15884, 13, 578, 4020, 81402, 990, 449, 53728, 25562, 11, 779, 814, 1253, 24237, 422, 279, 32275, 527, 46050, 6901, 323, 312, 15647, 13, 358, 7108, 279, 3504, 389, 279, 1948, 32530, 323, 9107, 279, 32530, 449, 264, 220, 777, 3906, 12651, 60588, 1797, 3035, 1039, 4583, 13, 358, 11763, 420, 1920, 389, 279, 5740, 32530, 627, 5971, 11, 358, 10273, 369, 37796, 449, 264, 23749, 16893, 430, 13282, 39493, 27883, 323, 3090, 627, 5971, 11, 358, 8599, 279, 20314, 14994, 505, 279, 4871, 5089, 311, 279, 4994, 5089, 13, 358, 1903, 279, 20314, 13537, 11, 12673, 279, 3090, 3830, 323, 20314, 3830, 11, 323, 2231, 13961, 14028, 2212, 279, 30477, 519, 32275, 627, 40, 4344, 539, 2737, 279, 20314, 961, 315, 279, 14028, 1920, 1606, 358, 4344, 5042, 539, 15337, 311, 3493, 420, 9650, 311, 499, 13, 358, 15253, 499, 311, 1650, 264, 6721, 9249, 1122, 311, 2804, 420, 990, 1606, 433, 374, 539, 5922, 279, 5326, 627, 8468, 220, 22, 25, 19796, 21400, 10640, 11, 46112, 11, 612, 34407, 29907, 198, 5971, 11, 358, 10487, 279, 8870, 2585, 1589, 72455, 323, 279, 27360, 13, 358, 10487, 279, 8870, 2585, 1589, 72455, 3221, 279, 6134, 311, 856, 26129, 627, 40, 45519, 709, 856, 36865, 323, 10487, 279, 3805, 13711, 627, 791, 11602, 34407, 13253, 574, 4228, 311, 4685, 439, 1664, 13, 578, 2700, 374, 7559, 389, 279, 96321, 315, 279, 6134, 627, 8468, 220, 23, 25, 19139, 34407, 323, 1883, 198, 12805, 358, 8599, 311, 279, 18679, 926, 315, 279, 5089, 11, 358, 9107, 709, 279, 4491, 13, 24882, 917, 323, 20336, 279, 5089, 13, 578, 917, 3250, 1431, 617, 279, 1890, 4519, 439, 279, 8870, 2585, 11, 719, 433, 374, 2103, 1633, 5505, 13, 358, 617, 220, 17, 8316, 323, 358, 14896, 279, 26129, 5089, 627, 40, 649, 2349, 20362, 505, 7155, 11, 311, 9235, 11, 311, 8798, 11, 311, 3313, 323, 1203, 311, 7155, 555, 26422, 279, 3941, 3215, 627, 40, 6656, 279, 5089, 1022, 555, 20129 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2181, 753, 1027, 264, 11292, 17219, 311, 2324, 1203, 304, 279, 19134, 369, 84697, 4409, 11, 323, 433, 5084, 264, 2478, 4311, 617, 3686, 2586, 311, 3878, 449, 279, 502, 8815, 1457, 13176, 1124, 13, 393, 1751, 388, 40281, 12076, 33, 9503, 1971, 1111, 706, 22359, 872, 9045, 779, 3117, 90578, 33731, 2030, 1974, 25, 578, 9635, 893, 2011, 617, 31156, 1148, 568, 574, 2103, 3815, 1618, 11, 323, 813, 18174, 7111, 743, 311, 3136, 449, 264, 1268, 1565, 520, 52629, 389, 279, 8736, 1938, 13, 1283, 753, 26403, 1664, 2533, 11, 4869, 11, 323, 374, 7314, 311, 1427, 810, 1093, 813, 2362, 659, 13, 1283, 374, 279, 2944, 430, 3585, 1051, 28158, 3359, 2403, 47431, 8350, 323, 63325, 13, 362, 3280, 704, 315, 279, 37973, 1436, 387, 7041, 1148, 568, 3966, 13, 19767, 220, 22, 198, 38675, 21780, 3457, 25, 1283, 1047, 2697, 311, 656, 304, 813, 47766, 65281, 304, 279, 3341, 370, 3524, 11098, 11, 719, 10887, 4634, 4501, 3403, 13, 19767, 220, 21, 198, 42778, 11289, 79701, 25, 578, 58069, 753, 4498, 505, 21507, 706, 1027, 279, 10988, 315, 84697, 753, 3280, 779, 3117, 13, 3861, 315, 279, 2478, 311, 34044, 505, 279, 5542, 36850, 430, 574, 1566, 3280, 304, 6807, 320, 438, 44937, 449, 264, 502, 1317, 9860, 3568, 311, 10677, 705, 568, 1457, 14035, 5678, 20558, 311, 1304, 279, 2489, 1316, 19037, 13, 578, 8125, 4920, 813, 61087, 311, 279, 54043, 3094, 1253, 2646, 387, 7373, 36489, 11, 719, 813, 4216, 31300, 1501, 826, 1051, 2073, 34229, 2915, 1207, 58098, 11, 79701, 2361, 750, 682, 520, 9581, 6957, 279, 52629, 323, 47431, 8350, 3953, 13, 578, 38141, 8625, 568, 374, 5042, 2288, 23664, 264, 2539, 15825, 369, 279, 6783, 753, 15692, 36263, 13, 19767, 220, 19, 198, 25763, 37863, 25, 5414, 10015, 27255, 574, 279, 4851, 6147, 15310, 2922, 5859, 311, 279, 9624, 315, 79701, 753, 16907, 4498, 11, 719, 279, 32639, 706, 1766, 279, 19134, 5107, 779, 3117, 13, 1252, 75, 10279, 311, 81660, 264, 16750, 520, 18682, 35283, 11, 719, 568, 574, 3629, 34438, 1971, 520, 279, 1203, 1772, 11, 323, 1047, 459, 43251, 11714, 2403, 468, 11118, 2288, 13, 362, 11941, 3351, 1053, 617, 1027, 315, 24779, 8935, 13, 19767, 220, 20, 198, 45919, 1030, 8290, 2259, 25, 362, 13051, 1389, 323, 36659, 26225, 1389, 19163, 13, 84697, 753, 1176, 3596, 13182, 15459, 6625, 706, 14333, 264, 6573, 1212, 311, 2324, 304, 4015, 19, 13, 1283, 374, 20781, 264, 60390, 1291, 2539, 15825, 11, 719, 50326, 4367, 389, 279, 5041, 323, 649, 6493, 264, 7060, 5425, 2288, 13, 19767, 220, 21, 198, 36, 21042, 21286, 2481, 25, 426, 30582, 398, 11, 279, 24113, 6625, 374, 84697, 753, 10496, 8338, 64769, 8617, 3117, 11, 27104, 315, 1403, 11112, 51010, 10194, 9045, 13, 4452, 11, 279, 16385, 323, 14432, 16399, 6392, 706, 539, 8208, 779, 1664, 13, 362, 75649, 2915, 7621, 2723, 304, 264, 8965, 34520, 88, 1203, 1584, 11, 31322, 7411, 1457, 40076, 2218, 279, 84697, 2163, 15825, 11, 323, 12387, 9021, 617, 1047, 872, 33472, 505, 813, 3185, 315, 279, 9846, 13, 3011, 568, 374, 14132, 13365, 3102, 481, 1418, 79701, 374, 1615, 1571, 311, 264, 10536, 9274, 449, 279, 6980, 374, 11679, 7922, 13, 19767, 220, 19, 198, 49546, 36285, 29942, 25, 31781, 311, 3821, 13, 37558, 11105, 279, 2840, 2490, 315, 279, 3347, 13515, 810, 1109, 279, 24862, 11, 323, 568, 9731, 311, 3041, 1475, 54808, 315, 8333, 369, 279, 5353, 11, 719, 813, 13736, 527, 289, 44159, 13, 1283, 706, 7111, 264, 1695, 20085, 1022, 279, 18338, 304, 3463, 323, 56408, 420, 3280, 11, 323, 813, 57314, 29600, 5101, 311, 617, 83410, 1461, 13, 1102, 2643, 387, 892, 369, 1461, 311, 387, 2728, 264, 2800, 505, 279, 6041, 1584, 5352, 13, 19767, 220, 19, 198, 53856, 3258, 13926, 25, 435, 7596, 430, 279, 220, 1644, 4771, 6418, 46881, 24862, 574, 927, 279, 24898, 9508, 311, 617, 1027, 682, 43995, 555, 22514, 11, 24306, 19207, 2403, 47431, 8350, 323, 63325, 11, 719, 1243, 3782, 813, 91140, 2403, 468, 11118, 13, 921, 4522, 35612, 682, 11714, 11, 813, 4401, 8209, 449, 279, 23944, 3686, 85077, 15341, 44109, 779, 49804, 1461, 430, 568, 9922, 311, 387, 22815, 4560, 311, 636, 5678, 3288, 1022, 1389, 264, 9131, 568, 27332, 449, 4856, 810, 14553, 1109, 904, 5150, 29269, 389, 279, 3814, 13, 96371, 2103, 704, 13, 19767, 220, 20, 198, 95330, 78, 90799, 113744, 25, 44842, 2915, 279, 1888, 315, 84697, 753, 8792, 41131, 11, 8051, 430, 2216, 4536, 1431, 5605, 1790, 13, 1283, 706, 264, 15326, 2543, 315, 18338, 323, 12716, 279, 5041, 4741, 439, 1664, 439, 499, 7070, 1755, 315, 264, 24113, 6625, 29315, 11, 323, 279, 18912, 315, 813, 57911, 323, 73557, 374, 6118, 89646, 13, 4452, 11, 568, 374, 1101, 38097, 311, 51055, 288, 315, 20545, 430, 649, 12391, 34348, 11, 323, 994, 568, 753, 3958, 11, 568, 753, 1633, 11, 1633, 3958, 13118, 13, 35053, 11, 422, 5052, 11, 568, 706, 311, 1212, 13, 19767, 220, 21, 198, 41444, 20661, 25, 578, 23782, 6917, 753, 5597, 311, 5869, 264, 502, 3568, 9922, 520, 279, 892, 311, 387, 279, 3254, 1455, 3062, 16351, 315, 84697, 753, 7474, 13, 578, 1054, 84616, 939, 39593, 385, 9520, 433, 574, 19655, 11, 1053, 41836, 279, 19134, 13, 12361, 11, 20661, 706, 1027, 832, 315, 279, 8706, 5435, 13, 5414, 12047, 5679, 11843, 4522, 7561, 84225, 32435, 61555, 617, 539, 1027, 312, 1571, 304, 11, 323, 420, 3541, 365, 8597, 287, 11, 9160, 4047, 287, 79397, 389, 4401, 28578, 568, 7245, 2315, 706, 1027, 8530, 279, 7928, 6044, 37245, 8331, 311, 279, 2128, 753, 6996, 315, 6211, 13, 2684, 374, 264, 7982, 8430, 430, 84697, 753, 31005, 11, 1455, 24770, 3185, 1587, 539, 617, 1461, 304, 433, 13, 19767, 25, 220, 20, 198, 37659, 469, 668, 754, 25, 2468, 1317, 1566, 11, 1063, 1695, 3754, 13, 2684, 1051, 10742, 994, 568, 7111, 5675, 389, 813, 17755, 323, 574, 87552, 311, 279, 13731, 11, 449, 24765, 11035, 7211, 33264, 279, 55433, 753, 27129, 304, 43468, 311, 279, 6498, 1847, 13, 14968, 3596, 2533, 594, 30463, 4628, 2403, 58486, 11, 469, 668, 754, 706, 1027, 9250, 11, 1475, 17560, 279, 2851, 889, 779, 25408, 2391, 279, 4435, 11098, 13, 1283, 706, 18381, 315, 4907, 11, 813, 12579, 374, 17676, 323, 6928, 323, 568, 706, 1027, 520, 279, 4851, 315, 4395, 1695, 84697, 617, 9124, 2533, 813, 76267, 17158, 13, 578, 1176, 836, 389, 279, 2128, 11071, 11, 323, 264, 9024, 3243, 369, 279, 23317, 13305, 13, 19767, 220, 23, 198, 17519, 283, 452, 8747, 61055, 25, 362, 64935, 13, 12268, 291, 304, 459, 27224, 11559, 1469, 589, 5411, 5178, 520, 13852, 438, 9728, 1603, 5616, 1940, 360, 10789, 1203, 311, 10845, 19907, 277, 352, 13, 38994, 568, 2834, 1431, 387, 1203, 13, 19767, 220, 17, 198, 53773, 1466, 69168, 25, 2684, 574, 1063, 369, 75, 1540, 3987, 430, 69168, 2643, 2103, 617, 2555, 311, 3085, 520, 19134, 2237, 11, 719, 433, 374, 9539, 927, 13, 5414, 2531, 617, 1664, 323, 9615, 8208, 11, 10791, 304, 19243, 389, 279, 5041, 323, 30547, 1022, 433, 13, 578, 59560, 74983, 430, 2322, 813, 50068, 2403, 468, 11118, 1051, 1612, 561, 52221, 11, 323, 433, 753, 1778, 264, 21648, 311, 1518, 264, 3131, 1474, 492, 88, 2851, 779, 54182, 13, 1102, 753, 22225, 892, 311, 3060, 6068, 1523, 264, 2237, 4726, 477, 37098, 813, 24779, 3217, 1139, 264, 24826, 7076, 13, 19767, 220, 19, 198, 73728, 15387, 25, 31886, 279, 1167, 2925, 1908, 19973, 7403, 430, 374, 279, 4343, 266, 50176, 56204, 11, 813, 9846, 892, 706, 1027, 16888, 5092, 398, 7347, 311, 5471, 1461, 505, 3815, 904, 1972, 5674, 13, 19767, 452, 10576, 198, 49546, 35848, 25, 3639, 43890, 11035, 7211, 311, 19678, 264, 16399, 45067, 369, 264, 45041, 520, 279, 86883, 44129, 449, 84697, 264, 5915, 1523, 374, 7953, 420, 7061, 11, 719, 430, 96018, 31217, 2692, 2349, 374, 912, 22599, 389, 35848, 13, 578, 4846, 47431, 8350, 893, 753, 95156, 574, 832, 315, 279, 2478, 10107, 19300, 315, 2500, 50739, 13658, 13, 19767, 452, 10576, 198, 29184, 14583, 2742, 25, 84697, 753, 1455, 20733, 16351, 315, 279, 7474, 56224, 264, 5107, 1212, 1306, 264, 50787, 315, 1234, 94179, 19207, 11, 719, 374, 7314, 311, 2543, 2574, 2212, 13, 578, 2851, 584, 5602, 2403, 58486, 574, 1633, 1790, 279, 832, 584, 3463, 584, 1051, 3794, 1389, 4062, 11, 28387, 1752, 323, 2167, 13, 5414, 12410, 7982, 11, 568, 574, 832, 315, 279, 1888, 45518, 2403, 473, 8512, 388, 2630, 323, 2362, 6469, 4410, 65698, 13, 88635, 922, 279, 11134, 568, 706, 1457, 13061, 709, 11, 719, 1253, 3686, 3243, 927, 813, 7810, 5153, 13, 19767, 220, 21, 198, 9241, 690, 84697, 4409, 6381, 279, 220, 679, 23, 14, 777, 19134, 3280, 5380, 4364, 410, 10, 650, 45005, 5745, 57415, 198, 25763, 763, 346, 25, 362, 28799, 11, 503, 16113, 9546, 389, 279, 1314, 11, 763, 346, 2736, 5992, 1093, 264, 1401, 62666, 11, 323, 568, 706, 1027, 13942, 2391, 813, 11134, 21430, 25229, 19821, 13, 578, 94162, 288, 568, 753, 6982, 4284, 1790, 315, 279, 2128, 753, 28697, 690, 6904, 389, 1461, 13, 2684, 753, 264, 2763, 810, 311, 2586, 505, 578, 4673, 29238, 269, 753, 4538, 13, 19767, 220, 22, 198, 25584, 1609, 13203, 15784, 25, 362, 22999, 832, 13, 13203, 15784, 1288, 617, 1027, 264, 649, 1431, 1474, 1056, 16351, 11, 323, 433, 753, 2653, 311, 934, 83518, 449, 1403, 9021, 304, 2380, 8638, 13, 3011, 568, 706, 2533, 1027, 6445, 311, 279, 13731, 11, 4869, 11, 13533, 2555, 374, 1097, 1056, 13, 578, 5043, 11, 8147, 8919, 287, 18302, 10827, 45041, 315, 64579, 323, 426, 98079, 706, 3686, 311, 387, 3970, 11, 304, 813, 2035, 264, 88046, 323, 4998, 3454, 87940, 889, 12775, 1431, 20162, 1790, 311, 279, 2128, 753, 1514, 7953, 1884, 9021, 13, 4610, 54213, 1389, 8104, 1884, 3685, 311, 1514, 389, 872, 1866, 709, 4156, 1389, 1205, 1521, 2919, 311, 617, 810, 9246, 311, 872, 15631, 1109, 3273, 12092, 62921, 7636, 11, 323, 13203, 15784, 374, 3686, 311, 20461, 1884, 7526, 13, 19767, 220, 20, 198, 50, 3864, 78, 9084, 1494, 3394, 25, 578, 1455, 24729, 13051, 315, 279, 3280, 779, 3117, 13, 1102, 9508, 28093, 346, 43672, 430, 279, 12649, 56998, 40260, 45041, 1047, 904, 3938, 520, 279, 6469, 11, 23442, 89248, 315, 88979, 4819, 1022, 279, 2115, 323, 24670, 52221, 24601, 389, 433, 13, 14968, 3318, 449, 16768, 37514, 8111, 311, 617, 79955, 4147, 9084, 1494, 3394, 13, 47169, 74228, 439, 264, 1396, 220, 605, 11, 813, 7351, 706, 1027, 25530, 11, 813, 2723, 1514, 29585, 323, 7941, 11, 323, 568, 374, 3131, 1578, 3794, 1139, 11660, 10093, 13, 20636, 5616, 6445, 1022, 279, 2606, 11046, 315, 264, 1403, 4771, 5915, 1752, 1629, 11, 2643, 584, 5616, 1518, 1461, 64201, 813, 24779, 4754, 30, 19767, 220, 22, 198, 37659, 356, 76027, 25, 5031, 1771, 264, 15062, 1054, 21119, 426, 9520, 439, 813, 6273, 12329, 520, 63325, 8710, 11, 719, 279, 3596, 12970, 481, 2466, 893, 2216, 1288, 539, 387, 6041, 3953, 520, 7154, 220, 1987, 1667, 315, 4325, 13, 578, 79306, 529, 32169, 649, 1431, 387, 3117, 3201, 13, 19767, 220, 20, 198, 44, 373, 7923, 283, 69, 25, 95809, 439, 3596, 13, 19439, 439, 3596, 13, 26823, 2362, 7923, 283, 31695, 13, 5414, 67965, 788, 61808, 389, 279, 1314, 20611, 520, 58486, 574, 44937, 449, 264, 1664, 2442, 3448, 5915, 11, 719, 568, 690, 22225, 1304, 1648, 3131, 763, 346, 4780, 311, 17479, 13, 5414, 18338, 11, 60112, 323, 990, 65947, 1304, 1461, 264, 5505, 19037, 3072, 11, 719, 568, 37856, 279, 4367, 311, 387, 810, 1109, 430, 13, 19767, 220, 20, 198, 1255, 23685, 25, 2684, 753, 2555, 10284, 65623, 922, 9298, 2577, 23685, 11, 76745, 315, 5034, 20459, 689, 11, 97500, 2785, 45713, 304, 279, 19134, 13, 11035, 7211, 8111, 26118, 9799, 2041, 11, 1701, 1461, 10213, 439, 459, 5536, 1207, 304, 264, 7029, 3560, 311, 902, 568, 753, 7120, 84, 1639, 13, 1789, 682, 430, 2577, 23685, 649, 387, 22939, 520, 3115, 11, 279, 94162, 288, 315, 1461, 584, 4070, 3970, 617, 1234, 15472, 813, 8824, 311, 1505, 30278, 315, 3634, 323, 1304, 41131, 15612, 311, 813, 26306, 13, 763, 264, 19037, 24670, 74092, 2875, 389, 4367, 11, 279, 75165, 7643, 55656, 5042, 706, 311, 4668, 810, 15870, 13, 19767, 220, 21, 198 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 11787, 220, 2636, 15, 73693, 27191, 19960, 53617, 48965, 27191, 482, 14270, 30742, 198, 7009, 649, 5376, 6680, 6530, 311, 279, 23806, 323, 1101, 1520, 499, 8108, 279, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 5137, 315, 279, 23806, 11, 719, 1306, 279, 1176, 2478, 3115, 11, 499, 2011, 387, 3025, 311, 636, 279, 11493, 23806, 627, 8538, 315, 279, 17032, 889, 1051, 539, 11297, 11, 719, 433, 596, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 539, 1120, 264, 2478, 315, 279, 1695, 2574, 315, 279, 3157, 627, 4071, 304, 420, 1162, 11, 420, 374, 264, 8762, 27886, 22822, 430, 374, 2561, 304, 279, 3157, 627, 8538, 4756, 389, 279, 3044, 11, 279, 8857, 315, 701, 23806, 374, 11754, 23806, 1404, 627, 2028, 19960, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 26041, 374, 832, 315, 279, 1888, 23806, 66507, 26153, 311, 5376, 701, 1877, 6678, 11, 719, 1690, 1274, 649, 1101, 5406, 872, 3185, 6372, 627, 2746, 499, 2351, 3411, 369, 279, 1404, 315, 701, 65146, 11, 499, 649, 1755, 279, 1455, 5526, 23806, 27886, 26153, 627, 53980, 89111, 299, 4338, 18029, 82, 369, 3026, 430, 990, 304, 72003, 11, 323, 1101, 6532, 304, 3026, 449, 57217, 32403, 4819, 627, 2028, 3756, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 3727, 1005, 315, 279, 14155, 430, 1520, 499, 38416, 2718, 4774, 5129, 65146, 627, 11458, 11, 279, 2883, 8349, 311, 7417, 279, 659, 50457, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 323, 8333, 11, 323, 2768, 279, 1890, 4860, 627, 37521, 27886, 26153, 527, 264, 8147, 8762, 27886, 33690, 323, 95643, 3956, 311, 7417, 701, 6680, 7410, 11, 323, 2585, 11, 3339, 1124, 810, 4228, 311, 25024, 627, 8607, 315, 1521, 26153, 2011, 387, 3118, 311, 990, 449, 701, 4907, 1587, 4401, 5376, 23806, 1404, 5990, 304, 279, 14150, 11, 499, 649, 1456, 279, 2027, 627, 2746, 499, 1390, 311, 2804, 369, 264, 659, 65906, 11, 1243, 499, 649, 1304, 433, 1790, 810, 11646, 323, 499, 649, 8895, 701, 1344, 4575, 307, 1404, 627, 4599, 499, 1212, 1701, 433, 374, 264, 2294, 1648, 311, 1972, 2644, 15105, 11, 499, 690, 617, 264, 2766, 315, 3300, 627, 12840, 1608, 26153, 1541, 956, 5353, 1203, 264, 8696, 11, 719, 1455, 315, 872, 1866, 2574, 11, 279, 836, 1047, 11322, 279, 6725, 627, 1271, 656, 420, 11, 499, 649, 15641, 264, 1396, 315, 2204, 5528, 315, 279, 6514, 11, 584, 2351, 539, 1047, 264, 14470, 17049, 1920, 627, 8747, 45938, 19646, 2259, 18885, 57217, 32403, 15530, 449, 264, 2697, 3392, 315, 43226, 22822, 430, 36050, 5869, 458, 8624, 11, 12992, 279, 6680, 6530, 315, 6680, 311, 279, 23806, 627, 2017, 10826, 64289, 11217, 311, 1520, 1566, 5129, 304, 4950, 46192, 311, 7417, 3026, 596, 1877, 6678, 11, 323, 7392, 5178, 369, 459, 23669, 65146, 627, 2520, 3187, 11, 499, 7846, 956, 1935, 264, 3412, 6666, 374, 1606, 433, 374, 15062, 311, 7417, 701, 8762, 19428, 7392, 50540, 627, 96420, 430, 1520, 1566, 5129, 304, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 4950, 369, 264, 8762, 27886, 26153, 311, 7417, 94482, 323, 7392, 5178, 627, 44687, 27886, 6378, 1486, 2468, 279, 6134, 3966, 311, 636, 311, 2539, 3430, 11, 584, 3770, 279, 2027, 374, 2561, 2930, 627, 2181, 596, 832, 315, 279, 1888, 8762, 27886, 33690, 430, 527, 2561, 304, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 220, 605, 14060, 315, 400, 845, 11, 931, 627, 36, 2921, 458, 32403, 374, 264, 12309, 6220, 1376, 315, 279, 8762, 1877, 2324, 369, 3026, 889, 1051, 1047, 3403, 311, 617, 264, 16643, 65146, 627, 8538, 315, 279, 1455, 4279, 3185, 6372, 315, 420, 2027, 527, 6220, 323, 649, 387, 2216, 6051, 1511, 311, 5376, 701, 23806, 1404, 627, 2675, 649, 8108, 701, 65146, 311, 11322, 279, 11376, 315, 701, 23806, 11, 4869, 11, 499, 690, 2733, 48774, 555, 701, 8427, 627, 37196, 3376, 483, 482, 1102, 596, 832, 315, 15419, 369, 220, 1399, 1667, 315, 279, 1455, 7524, 11, 902, 374, 264, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 2294, 5873, 311, 387, 3025, 311, 18885, 7392, 5178, 323, 7392, 61784, 304, 3026, 627, 70, 1031, 8954, 7392, 27886, 15530, 369, 3026, 311, 8666, 449, 14270, 30742, 872, 4033, 3997, 627, 4919, 3318, 704, 1520, 499, 1566, 5129, 304, 4950, 323, 279, 5129, 892, 499, 649, 387, 3025, 311, 1212, 627, 29305, 285, 66507, 26153, 527, 10728, 311, 8417, 11, 323, 1101, 279, 1455, 7524, 1648, 311, 11322, 11493, 23806, 627, 11458, 11, 499, 690, 387, 264, 1148, 374, 279, 1888, 927, 10826, 64289, 15530, 369, 1608, 1695, 4623, 61784, 3880, 87, 26153, 18445, 369, 499, 311, 3780, 279, 3754, 11, 323, 279, 1193, 39738, 352, 1972, 5706, 627, 20397, 279, 1455, 5526, 8762, 27886, 15530, 11, 499, 649, 636, 264, 3300, 15825, 15803, 68, 430, 499, 649, 1212, 449, 264, 2478, 2919, 315, 279, 2027, 627, 1687, 1766, 430, 279, 14293, 1778, 439, 650, 3557, 321, 5727, 264, 3361, 25795, 430, 5727, 49601, 11, 46192, 323, 34072, 11, 323, 46192, 323, 34072, 627, 4516, 11, 433, 596, 2744, 279, 14580, 15150, 1511, 311, 4322, 57217, 32403, 449, 220, 11711, 12, 966, 14060, 315, 220, 21251, 2919, 315, 279, 22822, 627, 456, 48876, 1608, 84907, 1260, 323, 40085, 33969, 902, 527, 8647, 311, 1935, 8533, 64, 76304, 788, 13162, 627, 3915, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 279, 1890, 1648, 11, 279, 17032, 315, 279, 6335, 315, 279, 1917, 315, 279, 8762, 27886, 15530, 627, 8538, 315, 279, 1948, 23806, 13334, 388, 990, 304, 279, 3157, 11, 902, 374, 264, 4382, 311, 656, 279, 1920, 627, 2181, 374, 539, 264, 6220, 323, 7524, 1648, 311, 1005, 420, 2027, 430, 374, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 539, 279, 1888, 1749, 369, 23806, 66507, 5707, 719, 539, 682, 279, 892, 627, 2181, 374, 264, 5933, 8762, 27886, 22822, 430, 374, 279, 2027, 430, 1511, 311, 1520, 499, 636, 49183, 279, 3135, 627, 6153, 279, 1176, 11, 8893, 291, 23806, 43875, 990, 555, 35988, 4184, 311, 279, 1455, 3230, 5238, 315, 279, 23806, 627, 92089, 304, 279, 3723, 4273, 311, 1304, 2771, 430, 814, 2349, 279, 2027, 574, 8040, 627, 4919, 8762, 27886, 26153, 13194, 499, 311, 617, 279, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 10105, 311, 6300, 65146, 26153, 627, 13622, 315, 279, 3157, 374, 369, 499, 323, 499, 690, 7995, 1205, 311, 1005, 279, 15150, 311, 53744, 279, 23806, 627, 44687, 8833, 11967, 26153, 6962, 8216, 279, 23806, 66507, 26153, 656, 539, 2216, 636, 279, 8592, 2574, 311, 6994, 279, 1404, 315, 701, 23806, 627, 13622, 3026, 527, 3411, 369, 5933, 23806, 66507, 33690, 11, 902, 374, 1633, 1664, 22015, 3185, 6372, 627, 37521, 7392, 27886, 33690, 430, 527, 264, 5933, 1648, 311, 5376, 23806, 1404, 11, 323, 1101, 264, 2763, 315, 2574, 627, 5455, 588, 4960, 5735, 1377, 10891, 1608, 15530, 430, 649, 5353, 813, 6562, 1973, 10633, 8762, 27886, 7172, 8544, 311, 6562, 311, 4330, 46943, 682, 279, 14293, 627, 3112, 279, 1455, 3062, 1648, 311, 656, 279, 8903, 315, 701, 1877, 2324, 11, 433, 374, 5246, 26153, 430, 1304, 499, 1566, 1317, 304, 4950, 311, 636, 279, 1203, 627, 2028, 374, 69919, 311, 53744, 279, 1344, 4575, 307, 23806, 11, 323, 12314, 6147, 323, 76026, 1418, 279, 23806, 374, 279, 5845, 311, 14841, 701, 23806, 627, 6153, 499, 617, 264, 1620, 3575, 11, 433, 374, 2663, 7802, 543, 11, 499, 649, 23846, 311, 11322, 279, 1888, 3135, 627, 2028, 2800, 374, 264, 23806, 14155, 430, 374, 459, 11646, 27375, 430, 3727, 499, 1566, 5129, 369, 264, 5129, 627, 2181, 596, 1101, 264, 6724, 7524, 8762, 27886, 22822, 430, 374, 2736, 1511, 311, 4322, 1949, 505, 1855, 33155, 627, 4071, 420, 1648, 499, 636, 264, 2766, 315, 55146, 323, 499, 1436, 1205, 311, 1005, 433, 311, 636, 682, 279, 1314, 1648, 311, 1587, 4401, 5376, 23806, 1404, 656, 433, 627, 8370, 1608, 15530, 374, 279, 62844, 8762, 27886, 26153, 2561, 304, 279, 3157, 315, 2418, 12623, 627, 8538, 315, 1521, 3956, 499, 3009, 4737, 6299, 311, 1304, 2771, 430, 499, 527, 8647, 311, 18361, 627, 2181, 1101, 12992, 279, 6680, 6530, 311, 279, 23806, 11, 902, 499, 649, 26153, 430, 1304, 499, 1566, 1317, 304, 4950, 636, 264, 2697, 9498, 65146, 627, 4071, 422, 499, 527, 13126, 311, 6227, 430, 499, 649, 1935, 264, 2478, 4038, 1603, 12096, 323, 8108, 433, 627, 2181, 374, 5526, 304, 279, 7427, 13, 1628, 2400, 750, 11, 279, 2435, 649, 1893, 5196, 11, 323, 701, 6680, 4319, 38220, 6067, 369, 264, 5129, 29869, 65146, 627, 2359, 893, 1608, 15530, 311, 6106, 701, 23806, 304, 2015, 311, 733, 6957, 9002, 279, 2027, 627, 12834, 433, 374, 3284, 311, 649, 499, 1304, 499, 23806, 11493, 43274, 1935, 220, 19, 12, 18, 4038, 11, 499, 649, 1456, 433, 304, 264, 5995, 89111, 299, 4338, 18029, 627, 11708, 40132, 8762, 7392, 5178, 27886, 15530, 3221, 1867, 6863, 76304, 12252, 11, 323, 264, 16643, 65146, 374, 1903, 505, 51487, 22822, 430, 1520, 311, 5376, 40699, 4367, 627, 94607, 4284, 430, 279, 33155, 315, 279, 14247, 13128, 374, 264, 1949, 18336, 1920, 627, 4071, 433, 374, 264, 5933, 1648, 311, 8108, 23806, 4245, 311, 3428, 94482, 11, 3428, 94482, 11, 323, 3428, 7392, 32403, 627, 4071, 11, 499, 1541, 956, 636, 1124, 279, 892, 499, 649, 636, 264, 20955, 315, 279, 1176, 7394, 6193, 279, 5663, 627, 81116, 7392, 27886, 26153, 8544, 323, 6062, 18065, 50453, 279, 2027, 627, 8110, 8762, 27886, 15530, 430, 4375, 709, 1070, 719, 1070, 527, 1690, 2204, 2574, 430, 527, 32343, 32551, 902, 527, 3604, 6982, 311, 1520, 1124, 304, 7859, 279, 1404, 315, 701, 23806, 627, 28156, 559, 321, 1662, 275, 27208, 57217, 32403, 11, 279, 3575, 649, 38416, 2718, 387, 1587, 4401, 5376, 23806, 1404, 3044, 2391, 1877, 627, 2181, 374, 539, 9193, 3284, 311, 636, 264, 1695, 1587, 28893, 1304, 577, 1566, 5129, 304, 4950, 65146, 902, 374, 264, 2294, 1648, 311, 2567, 701, 23806, 18182, 627, 7009, 527, 2631, 311, 1935, 904, 315, 279, 1888, 8762, 27886, 26153, 311, 3026, 889, 656, 539, 1440, 1148, 374, 279, 24770, 23806, 27886, 26153, 627, 4071, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 369, 3026, 889, 617, 4851, 8624, 311, 2768, 264, 2478, 315, 279, 1888, 23806, 27886, 26153, 311, 387, 3025, 311, 733, 6957, 1124, 627, 4516, 11, 433, 596, 832, 315, 279, 1888, 8762, 27886, 33690, 11, 439, 1664, 439, 279, 1888, 8762, 27886, 26153, 2561, 627, 13622, 315, 279, 1888, 8762, 27886, 33690, 11, 719, 279, 1888, 8762, 27886, 26153, 304, 6140, 311, 3780, 872, 2027, 323, 602, 627, 4599, 1304, 701, 23806, 11493, 26153, 499, 2351, 3794, 264, 5627, 311, 6562, 449, 701, 8427, 11, 499, 690, 636, 1866, 810, 323, 2653, 39357, 5247, 627, 32, 2763, 315, 2768, 1521, 33690, 11, 902, 374, 832, 315, 279, 1948, 315, 279, 6776, 315, 3026, 889, 617, 6140, 627, 11458, 11, 584, 1440, 1268, 311, 1566, 5129, 304, 4950, 26153, 6782, 4662, 1521, 26153, 11, 5315, 11, 902, 374, 279, 1888, 8762, 27886, 26153, 389, 279, 3157, 627, 791, 5326, 315, 279, 23806, 374, 832, 315, 279, 1455, 5526, 5528, 430, 3493, 499, 449, 701, 10896, 1603, 499, 2015, 627, 37576, 27886, 5933, 2890, 2027, 11, 323, 279, 1455, 8147, 25795, 1766, 430, 445, 12, 7905, 4940, 374, 2561, 304, 264, 47955, 3756, 627, 37196, 3376, 483, 25, 1115, 25795, 374, 264, 5933, 25795, 430, 67232, 279, 6680, 6530, 311, 279, 23806, 627, 50, 15127, 11, 8544, 369, 8762, 27886, 7766, 902, 12992, 279, 5788, 315, 40032, 5990, 323, 1949, 40032, 311, 13654, 627, 2170, 1664, 439, 4619, 11, 433, 596, 1101, 264, 5526, 430, 374, 26153, 311, 1566, 1317, 264, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 2478, 2574, 430, 8349, 311, 5662, 279, 6372, 315, 16421, 627, 37576, 23806, 14155, 1327, 1693, 66507, 27277, 9211, 27886, 3756, 3313, 3148, 1435, 23806, 323, 54475, 627, 36, 2921, 458, 53617, 26153, 527, 264, 6913, 1948, 2740, 6216, 304, 279, 3157, 430, 649, 387, 14791, 627, 4599, 433, 4131, 311, 279, 3958, 315, 14134, 11, 279, 13597, 4512, 10264, 374, 264, 21639, 6958, 704, 279, 23806, 627, 4516, 1070, 527, 264, 2763, 315 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 40, 3782, 4028, 420, 88459, 6945, 420, 6693, 323, 433, 2216, 43939, 757, 709, 4999, 791, 1176, 2574, 430, 3782, 311, 4059, 369, 757, 1051, 18653, 1705, 11, 61535, 11, 86559, 17301, 323, 45272, 288, 13, 29308, 30, 4314, 2574, 1436, 1304, 757, 99952, 30, 1102, 1781, 539, 4999, 11458, 1981, 3473, 358, 27569, 2555, 5128, 13548, 505, 856, 1938, 13985, 13, 358, 1047, 264, 1633, 3361, 20392, 311, 9604, 320, 40, 690, 5117, 389, 420, 3010, 16715, 323, 682, 856, 34389, 1051, 304, 279, 13824, 716, 13, 358, 617, 1403, 95840, 25, 832, 369, 279, 15447, 358, 1511, 311, 387, 3025, 311, 10051, 323, 832, 369, 279, 15447, 358, 1097, 12512, 1457, 477, 1884, 430, 1629, 264, 2697, 11493, 13, 358, 1097, 2103, 389, 420, 11879, 311, 9229, 53808, 8834, 323, 358, 617, 539, 8813, 856, 5915, 3686, 11, 719, 358, 1097, 8659, 3339, 5208, 0, 358, 31156, 922, 279, 25002, 6857, 315, 34389, 358, 7020, 358, 1436, 539, 1524, 3215, 323, 3463, 1253, 387, 358, 1436, 10051, 264, 2466, 61221, 311, 10477, 24923, 422, 27785, 358, 1436, 636, 1124, 3347, 856, 60611, 13, 358, 574, 16984, 311, 1524, 1456, 11, 719, 358, 1550, 13, 1628, 8101, 1148, 0, 1054, 32148, 279, 2574, 430, 499, 527, 1455, 16984, 527, 279, 1633, 2574, 430, 1304, 499, 279, 99952, 18319, 2876, 1193, 1550, 1521, 4040, 34389, 5052, 11, 358, 1047, 311, 10051, 264, 19671, 449, 1124, 4999, 40, 17210, 420, 6380, 97721, 4545, 320, 438, 1938, 16715, 311, 25976, 73423, 2508, 1139, 856, 7446, 17942, 13, 358, 2733, 2731, 11, 358, 617, 810, 4907, 11, 358, 2733, 88018, 323, 20097, 1306, 856, 27116, 11, 323, 856, 89928, 369, 2574, 1093, 24512, 11, 97604, 11, 74975, 15657, 323, 3738, 76657, 617, 29496, 627, 8538, 25835, 3727, 912, 5647, 11, 719, 422, 499, 1781, 922, 433, 11, 6118, 1778, 53219, 1304, 682, 279, 5647, 304, 279, 1917, 4999, 19999, 77351, 7440, 48194, 323, 1781, 922, 7999, 1063, 73423, 2508, 311, 701, 10173, 1981, 9514, 690, 387, 35072, 323, 14792, 994, 499, 649, 636, 1139, 701, 2362, 34389, 2288, 4999, 40, 4036, 459, 384, 11724, 922, 459, 6596, 4227, 430, 1120, 1903, 856, 1938, 13, 358, 1120, 1047, 311, 4430, 13, 1102, 574, 505, 856, 6691, 627, 21364, 16267, 1120, 12164, 988, 627, 2118, 12947, 369, 279, 2294, 11813, 13, 54859, 311, 13182, 2396, 323, 1047, 264, 5041, 13, 358, 2751, 1070, 922, 220, 806, 25, 410, 6912, 323, 1070, 1051, 922, 220, 21, 9191, 3278, 922, 856, 4325, 323, 264, 5743, 315, 1124, 2212, 220, 1490, 1667, 2362, 11, 902, 1903, 757, 2733, 304, 279, 1314, 1912, 13, 2435, 1051, 779, 11919, 323, 3309, 757, 814, 1051, 264, 15860, 315, 305, 2661, 388, 323, 10456, 311, 30884, 323, 6688, 2294, 80342, 323, 1243, 814, 682, 3782, 323, 94568, 757, 323, 11784, 5694, 13, 2435, 527, 16026, 358, 2586, 994, 814, 527, 1070, 323, 1071, 814, 617, 264, 2763, 315, 2523, 323, 71766, 1022, 264, 2763, 719, 2744, 636, 1070, 26308, 2884, 13, 2435, 15612, 2212, 1093, 358, 1550, 389, 279, 2697, 32440, 323, 7111, 779, 19369, 3815, 433, 13, 2435, 1051, 1778, 264, 11919, 1912, 323, 1071, 7170, 814, 733, 311, 16163, 27905, 719, 539, 2288, 3629, 11, 7344, 3131, 264, 2305, 13, 1666, 814, 2163, 814, 1855, 3782, 323, 94568, 757, 1578, 323, 814, 682, 94568, 1855, 1023, 13, 578, 29994, 574, 43660, 323, 358, 1120, 2216, 1047, 264, 2294, 892, 323, 1047, 264, 1695, 26308, 13, 46817, 11, 433, 2216, 374, 5115, 264, 1695, 26308, 323, 5829, 682, 701, 24569, 13, 3383, 3411, 4741, 311, 14691, 323, 311, 279, 502, 63081, 13, 3639, 264, 2294, 15860, 315, 23628, 323, 358, 1440, 4359, 574, 46090, 279, 4459, 3245, 2533, 814, 5052, 856, 4325, 2237, 323, 85367, 1918, 13, 358, 1120, 10456, 433, 682, 13, 11361, 369, 33018, 757, 311, 13182, 2396, 2029, 1389, 38, 5248, 426, 627, 791, 13957, 1511, 304, 279, 13182, 2396, 2068, 374, 5423, 9250, 369, 96178, 52368, 89766, 10934, 13, 358, 3021, 430, 856, 46944, 656, 539, 13194, 856, 13272, 477, 13194, 757, 0, 358, 617, 72909, 10234, 57795, 323, 1023, 35776, 5435, 16239, 856, 13272, 505, 459, 35528, 11677, 1667, 323, 1667, 4227, 11, 779, 358, 617, 311, 387, 1633, 16994, 11, 323, 358, 4822, 3201, 505, 4785, 1005, 449, 856, 8582, 2547, 13, 26848, 11, 358, 1005, 856, 1866, 24569, 369, 48513, 323, 13957, 2391, 872, 14964, 220, 966, 24401, 32844, 26308, 627, 791, 8244, 7720, 856, 6691, 374, 2133, 311, 8895, 311, 1077, 2890, 555, 18667, 13182, 2396, 527, 1120, 737, 2727, 56912, 13, 1115, 6197, 757, 311, 1781, 922, 12135, 323, 1268, 3062, 433, 374, 311, 617, 1063, 3169, 315, 33152, 449, 3885, 13, 578, 8930, 462, 309, 12, 6109, 3751, 10685, 19170, 1054, 9978, 647, 287, 863, 439, 1054, 64, 3345, 477, 32487, 5133, 2029, 1226, 439, 12966, 11, 1205, 311, 9352, 13, 2057, 832, 2500, 11, 311, 1057, 4885, 323, 8689, 11, 311, 1057, 7829, 323, 3224, 11, 311, 1057, 1917, 13, 2209, 36062, 11, 75040, 323, 3428, 3674, 2704, 649, 11682, 264, 1732, 753, 44122, 5647, 315, 1664, 33851, 11, 439, 1664, 439, 813, 477, 1077, 20207, 26501, 11, 22852, 734, 323, 2890, 627, 12834, 358, 1903, 4442, 311, 856, 17479, 11, 26677, 323, 3779, 73423, 2508, 439, 961, 315, 856, 7446, 21644, 11, 358, 649, 49262, 311, 279, 8056, 7720, 358, 617, 4036, 13, 358, 912, 5129, 617, 52303, 18638, 477, 52303, 7693, 14, 1201, 273, 6784, 430, 358, 574, 3515, 389, 264, 7446, 8197, 505, 856, 68132, 46313, 590, 55652, 13, 358, 617, 5675, 4785, 520, 264, 9498, 2237, 11, 539, 19019, 320, 19643, 311, 2586, 1203, 8, 505, 1063, 4062, 5155, 10173, 477, 927, 10826, 64289, 13128, 27116, 13, 358, 617, 1903, 9498, 19433, 4442, 11, 358, 1097, 3339, 27498, 5208, 323, 358, 2733, 779, 1695, 13, 1115, 374, 3249, 358, 1053, 3021, 311, 1520, 499, 389, 701, 11879, 369, 2450, 13, 358, 1053, 2733, 39377, 11, 3604, 627, 7516, 2968, 323, 33152, 311, 832, 2500, 374, 264, 9498, 5873, 584, 682, 1288, 1304, 323, 13969, 77351, 7440, 48194, 1938, 304, 323, 1938, 704, 627, 12389, 264, 17104, 9178, 345, 47, 815, 13, 5321, 3729, 757, 520, 904, 892, 422, 499, 1053, 1093, 810, 35649, 16655, 24826, 323, 1935, 264, 1427, 520, 73423, 2508, 11, 902, 374, 2555, 358, 4250, 13085, 3596, 2133, 2085, 304, 856, 2324, 13, 358, 1097, 10917, 279, 2723, 311, 279, 14293, 1618, 25, 1795, 1129, 12534, 739, 42961, 17, 58747, 275, 916, 90285, 77302, 731, 2508, 4, 508, 46847, 16378, 198, 11087, 1935, 264, 1427, 0, 28584, 198, 91, 40353, 6401, 39195, 25, 8651, 44, 6430, 6401, 39195, 512, 791, 6401, 39195, 315, 20449, 269, 323, 5034, 7490, 198, 49619, 269, 374, 50600, 13, 578, 5222, 315, 93856, 43214, 374, 3117, 810, 89534, 1109, 904, 40700, 11, 58387, 273, 11, 477, 21423, 68, 3059, 13, 3277, 43214, 374, 6222, 11, 433, 58585, 1274, 3871, 323, 12992, 23871, 323, 66264, 13, 5034, 7490, 1101, 31854, 9498, 7106, 4442, 304, 279, 2547, 13, 20449, 269, 323, 43214, 20259, 701, 22852, 1887, 11, 7916, 701, 4907, 11, 57160, 6784, 11, 323, 6144, 499, 505, 279, 34446, 6372, 315, 8631, 13, 7252, 315, 682, 11, 420, 92044, 16088, 374, 2523, 11, 1949, 11, 323, 4228, 311, 1005, 4999, 8921, 7490, 374, 3831, 16088, 369, 4059, 323, 2547, 198, 93, 7043, 469, 13, 23778, 50153, 11, 2405, 920, 627, 8921, 7490, 374, 264, 8147, 90687, 1295, 311, 8631, 11, 6784, 11, 323, 12324, 13, 12334, 4375, 10819, 477, 810, 6904, 2915, 311, 4546, 701, 4059, 323, 2547, 1203, 1139, 8335, 1109, 264, 1695, 12835, 13, 20449, 269, 3177, 729, 701, 64074, 11, 70390, 16388, 11, 34161, 499, 311, 3885, 11, 323, 13912, 499, 45445, 11, 10968, 11, 323, 5225, 627, 2409, 779, 1790, 2410, 311, 27661, 323, 14195, 11, 279, 5845, 311, 12835, 6847, 323, 14134, 374, 264, 28040, 5211, 369, 1765, 16966, 287, 5435, 11, 47594, 701, 12135, 11, 323, 12899, 2225, 7106, 323, 14604, 2890, 627, 38585, 10177, 11, 12336, 323, 358, 1694, 8381, 16677, 17003, 555, 1057, 4885, 6382, 4641, 2391, 14177, 1566, 11714, 29275, 8921, 7490, 374, 1695, 369, 701, 2890, 198, 12, 5034, 7490, 12234, 288, 279, 4459, 2547, 13, 362, 1695, 11, 82651, 12835, 1375, 39235, 7106, 24408, 323, 8631, 11, 9564, 701, 24569, 31467, 369, 709, 311, 220, 1774, 4520, 1306, 627, 12, 5034, 7490, 67232, 279, 22852, 1887, 13, 5034, 7490, 43154, 8631, 44315, 323, 12992, 22852, 7917, 323, 19405, 2269, 45850, 59854, 11, 8617, 18899, 701, 13957, 311, 8624, 627, 12, 5034, 7490, 31854, 279, 4984, 315, 842, 16751, 1354, 11, 279, 2547, 753, 5933, 2733, 72800, 26333, 13, 4060, 16751, 1354, 12192, 459, 8244, 5647, 315, 1664, 33851, 323, 649, 1524, 28191, 48839, 6784, 627, 12, 5034, 7490, 36236, 279, 4851, 13, 5034, 7490, 36050, 279, 734, 315, 6680, 31080, 323, 12992, 6680, 6530, 11, 902, 649, 1520, 6144, 499, 2403, 264, 4851, 3440, 323, 1023, 41713, 5435, 627, 38257, 374, 856, 10177, 323, 358, 10168, 1057, 6548, 1825, 439, 7029, 323, 1317, 439, 584, 11000, 649, 1306, 1694, 8381, 16677, 17003, 555, 264, 6382, 4641, 28684, 8921, 7490, 323, 28485, 1520, 499, 4822, 38683, 9498, 198, 8921, 7490, 3727, 499, 2733, 1695, 13, 1628, 279, 1695, 8430, 430, 499, 636, 994, 499, 12835, 8625, 449, 499, 1524, 1306, 279, 43214, 5258, 3422, 13, 20449, 269, 8779, 499, 2567, 264, 6928, 11, 37036, 36721, 1555, 5107, 15082, 11, 14429, 1392, 11, 323, 4814, 627, 7816, 1109, 1120, 264, 594, 6100, 505, 51978, 323, 6784, 11, 43214, 6835, 499, 279, 25775, 323, 8333, 311, 1505, 502, 8336, 315, 7438, 323, 3987, 13, 7570, 304, 279, 1455, 5107, 315, 3115, 11, 264, 12835, 4235, 269, 1524, 5042, 264, 15648, 4235, 4919, 733, 264, 1317, 1648, 9017, 3339, 499, 2733, 2731, 13, 1628, 43214, 2216, 374, 89534, 2345, 4345, 11011, 43214, 50533, 701, 8271, 323, 1373, 552, 499, 311, 15648, 323, 5249, 304, 279, 2523, 627, 791, 2723, 1990, 43214, 323, 10723, 2890, 198, 12, 5034, 7490, 14091, 18685, 35104, 287, 21958, 13, 1472, 649, 1431, 2733, 38100, 11, 19021, 11, 477, 12703, 994, 499, 3207, 32681, 627, 12, 5034, 7490, 8779, 499, 12234, 323, 47923, 13, 1102, 26338, 8631, 323, 12992, 4907, 11, 28462, 499, 311, 4822, 10968, 323, 22829, 810, 627, 12, 20449, 269, 29735, 13356, 11, 10923, 499, 311, 1518, 15082, 304, 264, 810, 26569, 11, 2753, 27903, 3177, 13, 362, 70946, 13356, 11705, 24064, 6138, 11, 902, 649, 1520, 499, 5766, 8430, 43206, 627, 7, 8140, 25237, 4885, 11, 42287, 612, 11517, 11, 14177, 1566, 11714, 29275, 6971, 24992, 810, 28485, 323, 43214, 1139, 701, 2324, 198, 29923, 311, 4546, 279, 2523, 30, 2175, 264, 6896, 90578, 13622, 315, 603, 617, 10534, 279, 16267, 315, 5737, 449, 264, 75519, 4333, 11, 323, 26159, 527, 264, 42093, 1648, 311, 4546, 810, 43214, 323, 16267, 1139, 701, 2324, 13, 2030, 1550, 499, 1440, 430, 3515, 264, 6896, 374, 1101, 1695, 369, 701, 10723, 323, 7106, 2890, 30, 19241, 1501, 430, 26159, 649, 6144, 499, 18710, 11, 8631, 11, 323, 1524, 4851, 8624, 627, 8921, 7490, 374, 701, 7342, 1315, 11, 264, 5933, 961, 315, 2324, 430, 374, 65070, 323, 304, 16381, 13, 15268, 1821, 3240, 37163, 2391, 279, 1176, 5672, 315, 2324, 323, 12835, 704, 17813, 2949, 4038, 315, 1694, 9405, 13, 7570, 422, 499, 1550, 539, 3139, 709, 304, 264, 14048, 1405, 43214, 574, 264, 4279, 5222, 11, 499, 649, 4048, 311, 12835, 520, 904, 6566, 315, 2324, 627, 11382, 555, 6376, 16038, 3361, 3115, 311, 6056, 704, 28485, 323, 43214, 11, 439, 499, 2643, 449, 3318, 704, 11, 323, 1977, 505, 1070, 13, 38274, 11, 499, 4805, 1390, 311, 33435, 28485, 323, 43214, 1139, 279, 13354, 315, 701, 2324, 11, 9455, 433, 18182, 304, 4395, 499, 656, 627, 8586, 527, 1063, 5627, 311, 1212, 512, 12, 79405, 13, 4487, 8138, 374, 279, 7314, 315, 43214, 13, 9086, 43214, 11, 433, 753, 89534, 13, 393, 6473, 388, 304, 1054, 4355, 7595, 15419, 2476, 1505, 433, 753, 3284, 311, 12835, 2085, 1524, 25051, 264, 15526, 1567, 13, 578, 1890, 10187, 369, 37163, 13, 3277, 499, 1427, 520, 4423, 477, 1518, 2555, 1524, 76949, 54799, 11, 6725, 37163, 627, 12, 4605, 701, 56650, 13, 26550, 750, 1304, 264, 1160, 13, 578, 4382, 1180, 315, 13126, 279, 1695 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 29951, 832, 11, 2586, 682, 0, 2468, 67540, 29935, 34385, 389, 6841, 220, 1691, 267, 11, 94465, 323, 12731, 10255, 26044, 43179, 480, 63975, 690, 5409, 5678, 4871, 264, 893, 28935, 9699, 36460, 3156, 584, 4662, 1475, 3048, 315, 813, 502, 4984, 505, 43951, 3458, 35156, 11, 578, 8769, 51679, 315, 473, 3023, 6729, 25, 6017, 3861, 0, 7566, 11, 430, 1053, 387, 279, 1633, 1890, 26044, 43179, 480, 63975, 889, 66145, 41673, 5678, 311, 264, 9629, 3177, 4994, 435, 18378, 93944, 1566, 7552, 11, 52876, 10160, 11, 11422, 11, 323, 4379, 44983, 304, 2015, 311, 4662, 813, 29159, 13, 4800, 430, 753, 39955, 627, 644, 279, 1890, 9090, 11, 568, 4805, 387, 3339, 813, 92906, 28022, 471, 311, 435, 18378, 93944, 369, 279, 8769, 51679, 315, 473, 3023, 6729, 17836, 27726, 23868, 389, 279, 1938, 1603, 37250, 13, 2684, 690, 387, 3361, 15051, 0, 2684, 690, 387, 3974, 2835, 315, 420, 44081, 57891, 389, 1057, 13674, 5510, 0, 2684, 690, 387, 264, 15042, 893, 45909, 16447, 4871, 264, 36460, 369, 586, 20705, 87023, 1268, 3629, 1587, 832, 636, 311, 14318, 264, 6685, 315, 430, 304, 264, 2317, 430, 753, 3604, 6220, 369, 990, 30, 16110, 555, 435, 18378, 93944, 389, 4723, 13, 220, 1691, 267, 323, 3820, 709, 264, 3048, 315, 578, 8769, 51679, 315, 473, 3023, 6729, 311, 1520, 48839, 813, 23104, 13, 1442, 499, 649, 1431, 1304, 433, 311, 279, 3637, 430, 1938, 11, 54164, 539, 25, 2930, 6763, 1101, 1797, 627, 45, 16900, 1883, 548, 657, 710, 16835, 3749, 25, 16850, 279, 17755, 315, 452, 16900, 350, 2159, 969, 11, 3229, 46928, 41, 323, 10255, 31079, 1195, 64, 1032, 315, 279, 14827, 452, 16900, 25, 26486, 18811, 20303, 2363, 4101, 11, 1933, 10255, 53832, 3590, 4006, 315, 13674, 31449, 452, 16900, 753, 20238, 51679, 11, 452, 16900, 753, 10836, 432, 78555, 14130, 11, 1949, 87326, 11, 323, 1023, 452, 16900, 65524, 18525, 1924, 627, 57789, 311, 67540, 29935, 34385, 389, 4723, 13, 220, 1187, 339, 505, 220, 20, 12, 24, 5975, 13, 9369, 1618, 369, 264, 2539, 1160, 315, 452, 16900, 55425, 5131, 2561, 627, 45, 16900, 11, 279, 22999, 77501, 9994, 69, 3847, 15730, 24045, 63865, 11, 374, 3339, 264, 20428, 3009, 520, 67540, 29935, 34385, 389, 4723, 13, 220, 1187, 339, 505, 220, 20, 12, 24, 8971, 369, 279, 452, 16900, 1883, 548, 657, 710, 16835, 3749, 13, 22991, 505, 459, 1358, 315, 37824, 11, 39568, 11, 12706, 11, 323, 810, 11, 682, 991, 2067, 5639, 291, 449, 452, 16900, 753, 35947, 93874, 13, 1472, 4805, 617, 10708, 311, 3243, 38508, 2391, 452, 16900, 753, 10836, 432, 78555, 11, 264, 6140, 311, 3449, 279, 3229, 323, 10255, 315, 452, 16900, 753, 14827, 6945, 2363, 11, 323, 1023, 452, 16900, 65524, 18525, 1924, 25, 1817, 1203, 449, 603, 927, 279, 1828, 5743, 315, 5672, 369, 4726, 3649, 13, 452, 16900, 350, 2159, 969, 690, 1101, 387, 3339, 1202, 958, 16876, 24045, 35952, 520, 279, 1567, 11, 779, 4822, 5225, 323, 2567, 459, 8071, 704, 662, 662, 16853, 3923, 374, 452, 16900, 350, 2159, 969, 30, 2684, 753, 1193, 832, 1648, 311, 1505, 704, 627, 45, 16900, 11, 279, 22999, 77501, 9994, 69, 3847, 15730, 24045, 63865, 11, 374, 3339, 264, 20428, 3009, 520, 67540, 29935, 34385, 389, 4723, 13, 220, 1187, 339, 369, 279, 452, 16900, 1883, 548, 657, 710, 16835, 3749, 13, 22991, 505, 459, 1358, 315, 37824, 11, 39568, 11, 12706, 11, 323, 810, 11, 682, 991, 2067, 5639, 291, 449, 452, 16900, 753, 35947, 93874, 13, 1226, 4805, 387, 16850, 47603, 11, 87326, 11, 323, 1023, 452, 16900, 65524, 18525, 1924, 25, 1817, 1203, 520, 279, 13690, 29935, 927, 279, 1828, 2478, 5672, 369, 4726, 3649, 13, 452, 16900, 350, 2159, 969, 690, 1101, 387, 3339, 1202, 958, 16876, 24045, 35952, 520, 279, 1567, 11, 779, 4822, 5225, 323, 2567, 459, 8071, 704, 662, 662, 16853, 3923, 374, 452, 16900, 350, 2159, 969, 30, 2684, 753, 1193, 832, 1648, 311, 1505, 704, 627, 791, 1176, 315, 279, 3116, 11, 24768, 416, 750, 12365, 11, 374, 47, 478, 321, 768, 389, 264, 4251, 15580, 320, 69389, 520, 2163, 449, 32171, 315, 279, 74842, 323, 1050, 1055, 519, 570, 2468, 1176, 34522, 11, 50790, 555, 279, 490, 292, 17334, 9072, 323, 387, 7897, 4251, 7056, 11, 358, 3463, 568, 9922, 311, 387, 264, 18732, 295, 1122, 94496, 3752, 11, 719, 568, 753, 3604, 459, 41708, 908, 110436, 55537, 10896, 0, 12220, 279, 11639, 315, 78869, 14338, 55537, 11, 1054, 3055, 12816, 863, 449, 3629, 2922, 32611, 6593, 6677, 28670, 1521, 2291, 65, 3785, 45188, 2345, 6387, 11330, 315, 7353, 31217, 318, 2106, 45526, 11, 1317, 49680, 927, 1030, 1900, 11, 323, 12224, 4908, 27227, 2345, 3556, 389, 14523, 4315, 55537, 12697, 11, 2225, 311, 7771, 5694, 2403, 8624, 323, 8985, 9498, 29036, 430, 4648, 574, 3221, 13, 578, 7056, 753, 6548, 1051, 55959, 449, 9168, 11, 1202, 387, 587, 45413, 449, 82688, 42393, 311, 81982, 704, 279, 357, 20345, 315, 31815, 25, 420, 832, 11, 3582, 11, 374, 42902, 323, 1903, 315, 12466, 13, 53535, 433, 709, 323, 499, 4805, 5406, 89245, 321, 768, 374, 7554, 459, 8071, 1234, 813, 7056, 23442, 3892, 19390, 4776, 55537, 779, 417, 13, 362, 1273, 11, 1268, 19369, 627, 29784, 11, 389, 264, 64536, 12744, 31348, 2579, 15580, 11, 33511, 5540, 315, 6411, 7515, 65, 505, 5370, 2781, 300, 25, 279, 8957, 3796, 14113, 315, 264, 51203, 1013, 449, 279, 6730, 78, 25567, 323, 12896, 26302, 315, 264, 19225, 2326, 27202, 5636, 264, 29144, 40, 11549, 6962, 7056, 11, 902, 568, 4805, 36548, 1205, 1306, 279, 1917, 706, 1027, 85378, 449, 682, 430, 55537, 13, 578, 6962, 7056, 753, 2955, 706, 1027, 46664, 505, 430, 315, 67502, 58500, 505, 4101, 220, 24, 320, 4151, 6685, 25, 389, 1314, 705, 3582, 449, 10284, 2204, 13354, 13, 9636, 28917, 433, 11, 568, 753, 2751, 264, 42442, 2697, 3663, 30314, 291, 449, 4208, 6308, 13, 18056, 358, 6562, 117214, 1030, 1047, 8774, 279, 32635, 6982, 304, 279, 25018, 2373, 11, 5111, 374, 4762, 856, 7075, 315, 420, 743, 627, 5971, 709, 374, 435, 20588, 389, 264, 3776, 15580, 320, 69389, 449, 2998, 14029, 505, 4101, 220, 21, 570, 435, 20588, 374, 44894, 1618, 439, 264, 35101, 6307, 46407, 21203, 3828, 12512, 81272, 26302, 323, 1776, 7719, 26518, 82, 11, 449, 264, 69397, 43245, 8679, 323, 24937, 10539, 7160, 2779, 41803, 82091, 311, 20461, 1268, 991, 582, 10234, 1364, 374, 505, 13287, 3359, 15357, 11852, 34906, 13, 358, 5828, 1431, 430, 2466, 389, 420, 7804, 99563, 3325, 7863, 311, 279, 3885, 11, 16662, 8884, 1364, 5992, 459, 613, 2298, 38210, 6617, 320, 17206, 13926, 10481, 97767, 11, 422, 1364, 1047, 264, 10284, 2204, 1933, 13155, 68850, 4636, 279, 11944, 30535, 1194, 315, 1077, 32519, 574, 264, 6555, 5916, 627, 5966, 374, 16290, 389, 264, 1054, 79, 1604, 863, 15580, 320, 8370, 4519, 279, 1890, 69397, 2955, 439, 435, 20588, 753, 3776, 15580, 11, 2555, 358, 1766, 264, 2766, 16053, 570, 36174, 34392, 1543, 16290, 8111, 810, 21108, 3640, 323, 42108, 1109, 279, 72426, 53034, 2788, 1156, 96960, 2695, 100092, 74404, 84522, 11549, 16290, 505, 4101, 220, 868, 320, 69389, 520, 1314, 570, 1115, 2697, 7564, 5097, 279, 1376, 315, 264, 67542, 88, 35113, 5405, 7897, 304, 4617, 55202, 436, 2076, 25, 9539, 568, 753, 2736, 1027, 3794, 1523, 311, 2626, 320, 9210, 374, 11, 279, 2626, 315, 32993, 3948, 4776, 264, 11191, 3392, 315, 279, 9578, 753, 40771, 570, 60998, 264, 6573, 1537, 369, 16682, 437, 1093, 757, 889, 3021, 4205, 296, 76384, 4411, 72, 14228, 627, 4959, 315, 279, 445, 4195, 13625, 34392, 5794, 315, 279, 80297, 374, 5131, 2561, 520, 435, 18378, 93944, 11, 2225, 304, 34352, 323, 2930, 13, 1472, 649, 1101, 3820, 709, 279, 36277, 92139, 291, 10280, 57689, 19048, 15371, 39857, 22068, 27202, 4999, 5519, 2151, 82, 8063, 315, 70002, 590, 33012, 30, 19292, 814, 690, 2391, 279, 54559, 26241, 735, 13, 23373, 10170, 43754, 17042, 17772, 11, 13847, 369, 6790, 220, 22, 339, 12, 24, 339, 520, 44578, 8130, 304, 13926, 10481, 11, 26832, 320, 266, 220, 17212, 18206, 21998, 25, 18445, 1618, 570, 1102, 753, 1694, 5762, 304, 16044, 315, 279, 220, 966, 339, 22310, 315, 11670, 39074, 37731, 56662, 37080, 46046, 11, 3196, 389, 832, 315, 4059, 1481, 2518, 66836, 74531, 3229, 26241, 735, 13, 23373, 753, 1455, 11495, 32963, 13, 578, 19309, 22262, 311, 15253, 3463, 10039, 85, 10979, 9678, 48539, 811, 315, 8198, 439, 264, 3917, 315, 2225, 17422, 323, 2144, 627, 51240, 1026, 389, 279, 19309, 753, 22162, 2997, 11, 4315, 3885, 11, 10292, 27875, 69110, 48748, 44578, 24708, 52996, 11, 24064, 3634, 20156, 578, 8155, 23804, 11, 323, 25864, 35, 34185, 13792, 3658, 32672, 336, 952, 11, 40500, 26349, 285, 8613, 4993, 668, 323, 8925, 19599, 21080, 753, 86068, 1254, 86322, 13, 22395, 279, 11007, 7090, 1705, 527, 83323, 39748, 386, 7616, 83, 11, 3967, 369, 813, 44983, 1139, 279, 13336, 315, 892, 5944, 26, 63100, 23347, 323, 8198, 17422, 81747, 33305, 12847, 3258, 26, 11641, 78879, 11, 3552, 315, 9063, 1501, 31933, 315, 279, 26296, 26, 323, 35727, 16056, 14559, 11, 4264, 18688, 315, 3892, 44632, 26952, 4519, 320, 39, 1087, 13, 10919, 7868, 753, 1050, 12, 27101, 11, 5659, 31886, 11, 423, 6241, 4390, 91273, 11, 7834, 31571, 25, 578, 9479, 24367, 10800, 220, 914, 13, 320, 87681, 11, 856, 7075, 9417, 574, 279, 832, 304, 902, 2956, 1047, 75362, 922, 12459, 264, 19692, 27367, 1093, 37745, 269, 19881, 72, 6266, 763, 16044, 315, 420, 91231, 481, 4101, 7314, 1202, 8502, 14789, 11501, 11, 67540, 29935, 374, 3515, 264, 832, 11477, 6412, 389, 13398, 7834, 31571, 14228, 3673, 389, 6250, 220, 1591, 339, 13, 3011, 753, 264, 220, 508, 4, 11336, 389, 7834, 31571, 3956, 304, 34352, 520, 67540, 29935, 34385, 323, 459, 5066, 220, 20, 4, 1022, 682, 31571, 22480, 2930, 25, 1120, 3810, 279, 11336, 2082, 37921, 964, 14202, 520, 28363, 320, 39830, 33433, 49023, 389, 279, 3814, 315, 279, 220, 1591, 339, 4390, 23025, 889, 10932, 872, 11689, 5710, 4671, 655, 3403, 311, 99082, 1288, 15763, 507, 657, 648, 25419, 11, 279, 6437, 46407, 21203, 34268, 3453, 24604, 315, 264, 1772, 46256, 69748, 16228, 45819, 430, 706, 1027, 85378, 555, 48173, 320, 69191, 750, 570, 7834, 315, 813, 1866, 2930, 20303, 11, 507, 657, 648, 374, 264, 810, 1732, 481, 28875, 315, 38836, 11, 264, 46482, 1940, 977, 889, 38202, 813, 1949, 892, 10695, 311, 2567, 2362, 35789, 48173, 304, 1584, 25, 1306, 682, 11, 568, 753, 4376, 3823, 627, 46, 657, 648, 25419, 4101, 34899, 1676, 35291, 29041, 1091, 88, 320, 1030, 36927, 315, 29041, 1091, 88, 356, 13066, 78, 11, 4953, 2637, 17276, 315, 37450, 64037, 11, 362, 64, 1494, 71, 12340, 8976, 63808, 17581, 578, 13944, 78024, 65, 618, 1065, 11, 323, 46870, 1543, 8, 323, 29517, 55770, 320, 70895, 315, 22169, 12631, 12538, 42013, 323, 66011, 529, 220, 975, 8, 690, 387, 520, 67540, 29935, 34385, 420, 5108, 6740, 520, 220, 22, 5975, 11, 16351, 16655, 11236, 315, 507, 657, 648, 25419, 25, 51679, 304, 279, 80297, 13, 2175, 18821, 1418, 17135, 1566, 4999, 12805, 1578, 11, 430, 753, 512, 70215, 29935, 34385, 198, 23879, 37776, 11, 1561, 4356, 11, 12551, 220, 1041, 2839, 198, 35720, 220, 24, 14, 1691, 520, 220, 22, 5975, 198, 12174, 11, 323, 4587, 5296, 430, 12459, 12637, 6444, 529, 35202, 374, 16917, 64770, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 42298, 35678, 25981, 11920, 2574, 315, 2802, 311, 35416, 304, 279, 6500, 2115, 13, 763, 220, 2550, 17, 11, 369, 2937, 11, 264, 35306, 11, 32813, 11249, 389, 10565, 6067, 14760, 704, 1990, 10555, 3241, 25175, 13929, 25566, 268, 59611, 323, 8732, 355, 8611, 838, 5469, 13, 2030, 1457, 430, 279, 8191, 706, 3719, 4661, 30547, 11, 2930, 28533, 61363, 709, 682, 279, 892, 4315, 1274, 889, 1051, 94135, 56333, 304, 7926, 13, 3011, 374, 11, 36870, 1274, 13, 328, 19245, 1274, 627, 99513, 279, 10205, 311, 71199, 1566, 1060, 320, 266, 3325, 304, 3738, 1561, 4356, 32465, 323, 3772, 26432, 8, 315, 1403, 3995, 26832, 6108, 16483, 11, 32602, 480, 39909, 323, 35266, 85431, 13, 11205, 15638, 76412, 6709, 3940, 459, 2930, 13766, 430, 36513, 505, 17715, 5587, 1555, 6664, 13, 5810, 753, 264, 25936, 315, 1148, 32122, 1203, 323, 13544, 304, 279, 8158, 315, 5370, 22939, 63594, 11, 1455, 315, 433, 15910, 520, 279, 1403, 16483, 25, 1472, 3207, 264, 41040, 88, 2697, 58587, 84341, 37034, 4851, 1752, 3823, 1694, 84341, 2418, 11, 499, 17668, 19419, 84341, 445, 13884, 84341, 33659, 540, 1910, 380, 84341, 2175, 279, 7976, 1022, 279, 8191, 84341, 63120, 73025, 84341, 4185, 70, 38587, 1732, 13, 1628, 279, 13458, 462, 337, 1193, 79849, 994, 85431, 323, 480, 39909, 3940, 5029, 1855, 1023, 627, 13191, 499, 656, 279, 2800, 315, 22706, 279, 4799, 315, 11, 1093, 11, 21939, 6261, 304, 4156, 315, 264, 5951, 477, 2555, 5380, 1688, 420, 6566, 304, 1202, 15740, 11, 279, 5000, 374, 1093, 459, 26762, 11775, 35459, 449, 5885, 889, 16805, 1648, 2288, 1790, 922, 5694, 11, 7170, 90187, 11, 7170, 4376, 100220, 11559, 11, 7170, 95119, 398, 13, 1102, 753, 264, 30774, 8221, 315, 3823, 20356, 323, 7865, 11, 264, 12111, 369, 11084, 1274, 2695, 33024, 13, 6187, 1306, 1938, 439, 279, 480, 39909, 12279, 619, 31017, 76782, 11, 358, 6656, 389, 856, 6500, 323, 4024, 264, 12, 11087, 540, 2785, 369, 279, 5652, 4500, 13, 9086, 904, 1695, 8903, 1501, 11, 433, 1903, 757, 14363, 7170, 11, 323, 358, 6818, 311, 18036, 7182, 3201, 505, 433, 11, 1193, 311, 1505, 7182, 63628, 2403, 1202, 17944, 12970, 2410, 13, 578, 6913, 7234, 574, 420, 25, 85431, 323, 480, 39909, 1051, 4560, 311, 1304, 872, 5144, 439, 16483, 11, 719, 264, 3738, 10449, 315, 279, 8191, 11, 6197, 555, 279, 342, 3746, 23799, 11, 1561, 4356, 4235, 1189, 2265, 5000, 2816, 86638, 7197, 11, 8774, 50244, 1124, 1203, 1523, 13, 4740, 264, 1418, 433, 9508, 439, 422, 872, 4443, 323, 32465, 43839, 811, 1051, 520, 18783, 13, 19418, 814, 18167, 279, 56910, 315, 24196, 305, 6795, 1124, 30, 362, 47726, 22763, 11, 2288, 25, 1053, 279, 2930, 3552, 4396, 5622, 872, 5133, 30, 426, 392, 9894, 24923, 279, 14529, 97374, 31473, 574, 264, 42436, 15326, 7057, 25, 374, 279, 8191, 13419, 86079, 41602, 323, 4737, 603, 1139, 264, 1917, 315, 26762, 41760, 34946, 323, 27224, 5380, 791, 24162, 1101, 1047, 264, 11537, 19775, 15952, 11, 1317, 4353, 40412, 555, 41106, 25812, 25, 8334, 20628, 3828, 11, 8334, 33291, 3828, 11, 8334, 14035, 3828, 13, 2582, 7344, 430, 1288, 387, 25, 3828, 20628, 8334, 11, 3828, 61481, 8334, 11, 3828, 5334, 1461, 1203, 1578, 627, 38, 39909, 574, 220, 1644, 13, 23223, 9405, 11, 25996, 33142, 13, 8940, 269, 2041, 11, 1306, 264, 6117, 35789, 11103, 13, 1283, 1047, 6575, 439, 264, 32465, 9940, 369, 2930, 14756, 29970, 11, 1047, 5439, 9908, 320, 3902, 398, 19347, 8, 369, 578, 1561, 64874, 11, 69419, 11, 52132, 306, 11, 578, 1561, 4356, 10506, 315, 18312, 11, 323, 1561, 4356, 11, 323, 1047, 4756, 264, 14807, 315, 83426, 315, 91759, 677, 4010, 25, 578, 54501, 11346, 315, 264, 38544, 73378, 11, 555, 8690, 23672, 328, 17553, 75, 3444, 8683, 44191, 718, 13, 5414, 1176, 11775, 11, 2052, 279, 31781, 13566, 74724, 11258, 320, 53, 19787, 705, 264, 99531, 1709, 4147, 2759, 315, 813, 1772, 11529, 277, 22329, 1667, 11, 3782, 704, 1566, 10683, 11, 323, 779, 433, 574, 8530, 31352, 430, 568, 6244, 3967, 2930, 439, 1054, 1820, 12703, 3995, 32465, 893, 2029, 578, 77071, 1598, 4024, 1093, 420, 25, 1618, 574, 264, 282, 47425, 17661, 315, 1194, 682, 704, 315, 597, 2088, 449, 813, 7528, 40190, 13, 1283, 1903, 264, 57796, 2218, 28135, 1606, 568, 574, 264, 1080, 47567, 315, 308, 10, 16, 11, 459, 2362, 58580, 53423, 20207, 2678, 1824, 2496, 2987, 8486, 568, 1047, 3940, 709, 304, 220, 1049, 19, 449, 2380, 57979, 9130, 4885, 13, 480, 39909, 6476, 9141, 304, 78915, 5657, 11, 568, 22982, 9875, 11, 568, 2751, 2212, 13, 1442, 1070, 574, 264, 2579, 60547, 4219, 311, 279, 26832, 32465, 6237, 11, 568, 574, 433, 11, 477, 574, 520, 3325, 3345, 311, 433, 13, 578, 1561, 4356, 8691, 44865, 813, 17422, 17755, 449, 264, 3021, 80468, 12970, 5643, 315, 279, 3229, 430, 539, 1193, 3952, 1461, 14243, 439, 264, 16448, 20207, 719, 1101, 2663, 1461, 1054, 17627, 65923, 44877, 2029, 24150, 39337, 3258, 11, 304, 578, 6652, 3962, 11, 323, 54726, 10463, 507, 988, 11, 304, 578, 1561, 4356, 10506, 315, 18312, 11, 37475, 813, 5149, 11, 810, 477, 2753, 36387, 1461, 311, 279, 6469, 627, 644, 279, 3772, 4676, 315, 3766, 11026, 11, 449, 430, 3169, 315, 6514, 11, 480, 39909, 1053, 617, 1027, 264, 1903, 893, 13, 2030, 304, 279, 810, 53087, 1917, 315, 5000, 220, 17, 13, 15, 11, 1070, 568, 574, 11, 10374, 813, 892, 47336, 22939, 35453, 21846, 304, 279, 6170, 3857, 315, 420, 477, 430, 5000, 2816, 11, 2098, 10831, 5370, 10405, 1603, 814, 1047, 264, 6140, 311, 743, 1063, 3169, 315, 7294, 12279, 39909, 18909, 13, 1283, 574, 1093, 264, 1689, 645, 1095, 45632, 2373, 315, 7957, 3341, 8078, 627, 38, 619, 574, 264, 2204, 955, 13, 13381, 220, 1544, 13, 19048, 304, 7997, 2837, 11, 26832, 11, 3515, 33109, 505, 1561, 4356, 753, 51558, 23272, 9304, 1306, 264, 1403, 4771, 61808, 520, 14594, 26039, 13, 3005, 1550, 27102, 11, 48637, 3419, 11, 323, 30205, 37067, 21644, 430, 1364, 27470, 389, 1077, 35266, 22168, 5117, 13, 14013, 6953, 33896, 1364, 1903, 264, 836, 369, 11937, 389, 279, 5000, 439, 264, 7170, 2389, 16151, 40281, 449, 264, 17676, 1742, 13, 3005, 1047, 430, 8191, 3245, 2345, 318, 14978, 92594, 13, 19406, 11, 311, 1077, 11, 574, 264, 29827, 323, 31349, 1216, 819, 7434, 13, 1666, 264, 6721, 7061, 11, 369, 86638, 7197, 11, 902, 8983, 1924, 389, 711, 75, 1113, 279, 8866, 437, 315, 3772, 77814, 11, 1364, 3782, 4028, 439, 264, 7626, 62379, 304, 1202, 4689, 2447, 323, 4762, 1202, 28807, 55472, 13, 2030, 1243, 11, 539, 1317, 1306, 6574, 480, 39909, 11, 1364, 2163, 279, 86638, 7197, 11816, 13, 1628, 6267, 264, 2466, 9071, 389, 1077, 2324, 439, 264, 40281, 369, 279, 3297, 220, 914, 11, 220, 1049, 23, 11, 4360, 315, 578, 1561, 4356, 8691, 22168, 13, 1102, 2751, 264, 8941, 315, 6666, 719, 9508, 311, 4587, 4661, 912, 832, 627, 644, 279, 6710, 1364, 17551, 704, 1063, 315, 279, 83975, 846, 295, 2574, 1364, 1047, 8621, 922, 1077, 1877, 2324, 323, 7633, 279, 9709, 16024, 430, 4024, 449, 1694, 832, 315, 86638, 7197, 753, 1455, 19738, 16483, 13, 763, 3815, 420, 3221, 1421, 519, 367, 11, 1364, 6656, 11937, 1139, 2555, 315, 459, 8191, 39571, 349, 13, 8691, 13016, 50383, 449, 1077, 13042, 955, 85366, 19411, 11, 3995, 11, 32894, 291, 40281, 11, 42666, 389, 279, 14756, 753, 3504, 84244, 287, 304, 4950, 449, 264, 4251, 58679, 2345, 13279, 939, 398, 32614, 1077, 304, 279, 19541, 15487, 916, 6170, 3857, 13, 2468, 279, 1890, 892, 264, 2478, 315, 1077, 4846, 86638, 7197, 18105, 323, 40531, 11, 439, 1664, 439, 1077, 506, 1481, 3746, 11, 5000, 98008, 15341, 43911, 263, 11, 4024, 1306, 1077, 369, 3515, 2163, 279, 2362, 12818, 11, 4315, 1023, 2574, 627, 2170, 8191, 46820, 380, 32501, 50356, 8050, 29633, 304, 813, 220, 1049, 23, 2363, 11, 5810, 54328, 51898, 11, 279, 5000, 3727, 433, 4228, 369, 1093, 34423, 1274, 311, 1505, 832, 2500, 323, 1376, 5315, 13, 2030, 439, 2294, 439, 279, 9558, 374, 369, 4857, 10977, 11, 433, 706, 1101, 19168, 5196, 264, 25114, 14473, 315, 67094, 582, 2191, 13, 578, 17124, 3492, 11, 433, 1288, 539, 387, 25565, 11, 574, 459, 7524, 11298, 369, 24944, 8951, 2225, 67749, 323, 1008, 5105, 69513, 11, 719, 279, 8191, 374, 3025, 311, 4546, 279, 6784, 682, 279, 810, 30820, 1555, 1202, 72534, 74, 83591, 82, 315, 832, 5352, 58832, 323, 27224, 13, 24191, 315, 420, 6392, 374, 15526, 11, 8051, 539, 779, 1790, 369, 279, 1274, 1694, 490, 13883, 627, 32, 2763, 315, 420, 7528, 23701, 3137, 706, 1027, 13019, 1234, 279, 3492, 1054, 9810, 847, 63750, 64, 3738, 6651, 315, 79866, 10753, 11, 27224, 11, 6301, 84, 8862, 11, 48364, 42914, 11, 323, 28485, 430, 1063, 1274, 11, 1778, 439, 6941, 9973, 1729, 11, 889, 706, 5439, 264, 3293, 2363, 389, 279, 3917, 320, 21380, 847, 25, 1102, 753, 16729, 11, 1102, 753, 19758, 11, 323, 1102, 753, 29014, 5859, 5751, 51930, 705, 1518, 439, 342, 2808, 13, 26080, 2345, 2727, 11, 369, 2937, 2345, 4151, 433, 439, 264, 5505, 2697, 10500, 311, 387, 42945, 291, 505, 892, 311, 892, 2403, 73870, 788, 11909, 11, 9257, 49652, 7298, 11, 323, 1023, 1536, 95832, 21967, 12678, 627, 43182, 315, 279, 2930, 3137, 18815, 85431, 323, 480, 39909, 8434, 1431, 2216, 26456, 439, 1054, 9810, 847, 2476, 2586, 311, 1781, 315, 433, 13, 1102, 49101, 28485, 11, 369, 832, 3245, 11, 477, 1524, 904, 4879, 520, 28485, 13, 5810, 11, 369, 2937, 11, 374, 1148, 459, 22939, 97166, 8621, 389, 85431, 753, 5000, 2816, 25, 1054, 54834, 6261, 2029, 1115, 574, 304, 13010, 311, 264, 23900, 4652, 1364, 1047, 5439, 369, 386, 2506, 844, 14639, 82, 12053, 10506, 13, 1442, 4224, 847, 374, 13118, 1054, 2739, 5859, 1057, 10652, 2476, 1243, 264, 8982, 1180, 1093, 1054, 54834, 6261, 863, 374, 5042, 4560, 311, 2231, 459, 842, 311, 433, 627, 2746, 4400, 775, 11, 264, 41286, 287, 315, 279, 35678, 4208, 7263, 389, 555, 279, 45937, 315, 85431, 323, 480, 39909, 1288, 3041, 603, 264, 43120, 6945, 315, 1268, 264, 1912, 315, 6062, 25530, 1274, 13375, 5694, 304, 89614, 10425, 315, 279, 3061, 552, 11401, 994, 814, 4024, 2930, 304, 220, 1049, 23, 13, 578, 14599, 12205, 315, 4443, 3769, 2561, 2930, 1903, 420, 4652, 3284, 13, 1442, 499, 1051, 311, 1194, 704, 1475, 5117, 1772, 323, 5000, 29654, 1934, 323, 4068, 4617, 3515, 311, 656, 449, 85431, 323, 480, 39909, 304, 220, 1049, 23, 11, 499, 1053, 1505, 6261, 449, 810, 1109, 220, 18, 11, 931, 6959, 13, 5810, 11, 358, 617, 66185, 433, 1523, 627, 85148, 85431, 5828, 1431, 11622, 10882, 449, 1148, 1364, 1511, 311, 656, 369, 264, 5496, 13, 32567, 291, 369, 459, 4652, 922, 86638, 7197, 430, 10837, 304, 279, 6664, 220, 868, 11, 220, 1049, 22, 11, 4360, 315, 1561, 4356, 14756, 11, 1364, 1071, 1364, 7170, 3309, 1274, 1364, 574, 264, 27102, 11326, 13, 1054, 3923, 1097, 358, 10171, 311, 2019, 11, 3451, 40, 990, 369, 264, 3772, 2427, 42573, 16406, 304, 1561, 4356, 45258, 863, 362, 2478, 2919, 1306, 279, 4652, 3782, 704, 11, 1364, 2322, 480, 39909, 520, 832, 315, 279, 9875, 568, 574, 2744, 20256, 369, 308, 10, 16, 627, 644, 1077, 3350, 5352, 315, 279, 4717, 369, 86638, 7197, 11, 85431, 3952, 9395, 520, 279, 3552, 25, 1054, 77, 10, 16, 6576, 32602, 480, 39909, 5762, 5590, 4920, 264, 87180, 3703, 5527, 1551, 449, 13179, 27474, 323, 23317, 15039, 11, 9964, 45544, 315, 3776, 15489, 7013, 33692, 287, 505, 279, 653, 2208, 291, 37204, 315, 813, 3778, 82700, 78885, 11, 3339, 2771, 279, 41534, 31348, 7724, 2751, 439, 1690, 38066, 439, 814, 4460, 2029, 1102, 574, 1120, 279, 3169, 315, 3245, 430, 1047, 1903, 85431, 779, 5526, 4315, 86638, 7197, 753, 13016, 25, 1054, 28708, 5590, 863, 1879, 1908, 459, 70954, 37374, 26, 1054, 25506, 45544, 315, 3776, 15489, 7013, 863, 1071, 264, 30686, 10255, 47747, 48259, 24923, 279, 32465, 28362, 26, 279, 836, 16313, 287, 315, 3778, 82700, 11, 264, 6883, 25103, 27294, 323, 4483, 306, 1065, 316, 774, 826, 11, 12090, 480, 39909, 11, 520, 220, 1644, 11, 574, 32623, 24923, 813, 1667, 627, 38, 675, 7197, 11, 433, 1288, 387, 10555, 11, 374, 4315, 810, 1109, 264, 21030, 6732, 18538, 555 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 3202, 10289, 31930, 68641, 220, 679, 24, 29257, 5513, 11, 9303, 612, 3216, 5065, 5377, 826, 690, 387, 6177, 304, 420, 4652, 323, 4822, 33519, 311, 433, 627, 3202, 10289, 57544, 12589, 220, 679, 24, 1389, 220, 508, 198, 91, 5520, 8266, 8651, 2822, 11406, 16980, 7511, 91, 3905, 47233, 8925, 8651, 52, 5683, 277, 43458, 10289, 57544, 8925, 7511, 91, 7749, 2360, 315, 67751, 8651, 2636, 410, 13666, 70620, 8, 7511, 91, 678, 315, 279, 15781, 8651, 3214, 45595, 11, 25538, 481, 612, 7089, 23946, 7511, 91, 12524, 10260, 8651, 22993, 23946, 7511, 91, 11425, 14577, 8651, 36724, 3475, 14, 50359, 14, 42084, 14, 32502, 56573, 7511, 3202, 10289, 23946, 220, 679, 24, 1389, 220, 508, 54038, 198, 15571, 5513, 12280, 82988, 0, 12250, 10289, 6011, 374, 2133, 311, 4984, 704, 264, 6908, 1396, 315, 2683, 10708, 13, 2100, 7931, 1884, 889, 617, 57636, 311, 3719, 10289, 25538, 481, 11, 3804, 45595, 11, 17863, 29598, 11, 32724, 45595, 11, 1856, 52775, 35238, 11, 6785, 1543, 11, 14919, 11, 5871, 40, 11, 5492, 12542, 11, 8245, 15516, 47317, 10289, 11, 1838, 651, 72, 414, 40964, 11, 19903, 612, 11452, 25538, 481, 5099, 7032, 649, 3881, 369, 12250, 10289, 31626, 6709, 994, 433, 19786, 627, 70620, 7253, 220, 2636, 410, 10, 12250, 10289, 23946, 527, 2133, 311, 387, 10409, 555, 49989, 12822, 311, 7380, 872, 15438, 8070, 304, 4379, 9476, 13, 17586, 904, 10026, 6811, 11, 279, 8762, 323, 8954, 1772, 360, 1821, 649, 1935, 961, 304, 420, 86773, 43458, 10289, 57544, 220, 679, 24, 13, 1666, 824, 279, 12250, 10289, 31930, 68641, 5513, 11450, 11, 220, 508, 4, 67751, 690, 387, 20816, 369, 8954, 2683, 50433, 13, 578, 6727, 13186, 315, 13324, 21736, 5361, 20101, 902, 584, 617, 11075, 398, 2728, 304, 25117, 45546, 3882, 627, 10714, 86773, 43458, 10289, 6011, 198, 3202, 6616, 41737, 13656, 369, 86773, 43458, 10289, 57544, 323, 57204, 8925, 13, 578, 2383, 13627, 9266, 315, 12250, 3314, 374, 86773, 43458, 10289, 13, 25531, 264, 2683, 304, 12250, 10289, 6011, 374, 264, 1633, 1695, 6776, 1606, 433, 374, 279, 1054, 43, 33481, 10289, 11994, 304, 279, 4435, 11453, 11699, 26097, 374, 31183, 304, 279, 28471, 28447, 13, 763, 5370, 10289, 95686, 1093, 29872, 3409, 22967, 11, 61892, 14722, 22967, 11, 95816, 332, 22967, 11, 362, 33050, 22967, 11, 31663, 26047, 22967, 11, 8909, 276, 10426, 22967, 11, 2394, 352, 12944, 73, 22967, 323, 47247, 587, 21888, 324, 95686, 279, 4183, 11426, 617, 311, 2804, 872, 22006, 627, 3202, 10289, 31626, 6709, 12589, 198, 791, 1396, 315, 4827, 323, 5190, 60697, 10093, 527, 2133, 311, 387, 10409, 1555, 420, 12250, 11216, 31626, 6709, 220, 679, 24, 527, 5361, 13, 763, 279, 3770, 8316, 14, 27296, 11, 279, 11426, 617, 311, 990, 627, 91, 34, 58140, 47997, 6011, 320, 55246, 8, 7511, 91, 20989, 2998, 17795, 14299, 7511, 91, 33749, 90894, 21021, 320, 1741, 46, 8, 7511, 91, 35075, 10734, 14299, 320, 39, 7532, 8, 7511, 91, 20989, 47664, 323, 94938, 320, 17268, 835, 8, 7511, 91, 62569, 55556, 10289, 320, 97093, 8, 7511, 91, 33749, 38256, 380, 14299, 320, 50207, 8, 7511, 91, 1090, 8677, 6011, 320, 926, 8, 7511, 91, 36, 32107, 4206, 2436, 35622, 320, 36, 3387, 8, 7511, 91, 20989, 5546, 11994, 7511, 91, 52, 5683, 277, 43458, 6785, 5475, 7511, 91, 1360, 65427, 42494, 25538, 370, 24094, 320, 47, 1741, 8, 7511, 91, 20989, 47997, 8068, 320, 50, 964, 8, 7511, 91, 29303, 11452, 33115, 315, 10289, 7511, 3202, 10289, 31648, 11, 25538, 481, 612, 7432, 69124, 3225, 14577, 198, 1271, 3881, 369, 12250, 45878, 10289, 323, 15516, 10289, 26361, 42494, 25538, 370, 24094, 67751, 279, 25689, 1821, 2011, 617, 279, 3770, 2427, 2116, 41734, 4787, 13, 1666, 824, 279, 12250, 10289, 25538, 481, 31930, 68641, 5513, 11, 279, 11801, 690, 387, 7376, 555, 279, 3109, 7510, 439, 5246, 439, 3284, 627, 2170, 5682, 1821, 11, 422, 499, 527, 3411, 369, 12250, 10289, 29257, 5513, 23946, 11, 1243, 701, 14584, 46160, 1288, 387, 98465, 14, 605, 10, 17, 14, 5783, 14, 38182, 14, 42090, 753, 8547, 505, 264, 39764, 4580, 477, 12374, 13, 2100, 11, 7931, 11, 1884, 889, 15575, 279, 3485, 46160, 649, 3881, 369, 12250, 10289, 17863, 29598, 14, 31648, 14, 25538, 481, 7032, 13, 65538, 649, 636, 279, 4686, 2038, 1555, 279, 4033, 11801, 627, 3202, 10289, 13381, 29108, 198, 12, 578, 8187, 4325, 369, 32177, 311, 3881, 374, 220, 972, 1667, 627, 12, 27697, 8582, 4325, 4017, 369, 8954, 32177, 374, 220, 914, 1667, 627, 12, 220, 1313, 1667, 374, 279, 8582, 4325, 4017, 369, 8762, 13324, 627, 12, 13381, 43685, 369, 7683, 14, 790, 11426, 374, 220, 2304, 1667, 323, 507, 5002, 374, 220, 2839, 1667, 627, 50909, 449, 279, 14584, 46160, 11, 11426, 2011, 1101, 617, 2631, 7106, 10886, 13, 2435, 527, 439, 11263, 627, 12, 22147, 25, 220, 8953, 10166, 320, 6330, 10166, 369, 4015, 340, 12, 16923, 25, 32025, 220, 1135, 87822, 198, 12, 42871, 1389, 220, 4643, 356, 76, 320, 790, 1389, 220, 2813, 356, 76, 8, 612, 55654, 315, 220, 20, 356, 76, 198, 12, 22147, 1389, 220, 9756, 356, 76, 320, 10288, 356, 76, 369, 4015, 340, 12, 16923, 1389, 3468, 220, 1272, 735, 5981, 198, 3202, 10289, 57544, 42858, 198, 12, 1666, 5682, 1821, 649, 4232, 15438, 12250, 10289, 94708, 34215, 1555, 279, 4033, 3997, 627, 12, 30402, 11426, 439, 10289, 25538, 481, 612, 40964, 25538, 481, 690, 636, 2343, 304, 1990, 19766, 13, 15830, 15, 12, 220, 2366, 410, 14, 4235, 323, 12239, 2343, 315, 19766, 13, 8273, 15, 14, 7058, 12, 2140, 14846, 1884, 889, 527, 2133, 311, 990, 439, 3804, 45595, 320, 14137, 8, 690, 636, 2343, 315, 19766, 13, 19306, 15, 12, 220, 1958, 11, 4728, 24572, 323, 24749, 2343, 315, 19766, 13, 12819, 15, 14, 7058, 825, 14846, 2011, 12391, 872, 4686, 11005, 279, 6727, 20101, 902, 690, 387, 13375, 555, 279, 6727, 13093, 315, 12250, 10289, 6011, 13, 62525, 2011, 16136, 304, 1855, 4883, 902, 374, 2728, 3770, 439, 1664, 439, 814, 1288, 2804, 1664, 304, 40035, 627, 12, 34991, 72594, 198, 12, 28479, 67667, 3475, 198, 12, 28479, 55340, 3475, 198, 12, 4060, 5890, 3475, 198, 12, 12051, 56573, 198, 52, 5683, 277, 43458, 10289, 7473, 45546, 198, 3607, 311, 9502, 8522, 369, 12250, 10289, 57544, 220, 679, 24, 1555, 3060, 53374, 477, 18076, 8429, 20362, 13, 2140, 14846, 2011, 15575, 682, 279, 9477, 311, 387, 22785, 369, 48429, 477, 72908, 449, 279, 3851, 1376, 13, 25929, 389, 11, 11426, 649, 1440, 279, 1212, 323, 1566, 13003, 311, 3881, 1555, 279, 4033, 33789, 627, 4438, 311, 21194, 8267, 5380, 12, 98789, 311, 3881, 369, 12250, 10289, 3216, 5065, 31626, 6709, 11, 814, 2011, 1833, 279, 3770, 2427, 2116, 3094, 555, 3094, 10537, 627, 12, 19545, 279, 4033, 3997, 315, 12250, 10289, 6011, 627, 12, 6122, 311, 99455, 5874, 323, 4299, 389, 279, 11801, 499, 527, 5644, 311, 3881, 627, 12, 4557, 279, 4686, 3878, 323, 4787, 627, 12, 1442, 17446, 4299, 389, 1054, 29597, 6074, 113068, 12, 362, 502, 4384, 3851, 1376, 3321, 690, 387, 9107, 389, 701, 6812, 627, 12, 11502, 682, 701, 3649, 2085, 9564, 904, 4384, 79640, 627, 12, 1666, 824, 279, 11801, 11, 8298, 279, 48548, 11236, 315, 9477, 439, 824, 15696, 627, 12, 1442, 1070, 374, 264, 1205, 369, 2930, 8323, 11, 1120, 2343, 279, 3851, 11307, 627, 12, 4740, 312, 58954, 315, 682, 279, 3649, 11, 15596, 389, 279, 9502, 3215, 627, 12, 12040, 279, 1194, 412, 315, 279, 3851, 1376, 627, 4438, 311, 4232, 7473, 3459, 5380, 12, 2140, 14846, 1515, 389, 311, 279, 4033, 3997, 627, 12, 6122, 311, 279, 57544, 2199, 627, 12, 4557, 27461, 279, 11801, 323, 1817, 701, 41734, 627, 12, 1442, 17446, 11, 15596, 389, 279, 7473, 8745, 2723, 627, 12, 22748, 279, 1376, 323, 15866, 682, 659, 12, 1617, 10185, 9477, 311, 433, 627, 12, 86248, 279, 2686, 389, 279, 1948, 315, 279, 35498, 627, 12, 16110, 433, 304, 264, 14373, 1772, 2054, 627, 12, 7473, 11307, 369, 32177, 374, 19766, 13, 3443, 14, 7058, 67794, 19365, 315, 12250, 10289, 198, 791, 1176, 323, 43780, 3245, 1475, 15022, 7151, 20646, 11426, 2011, 656, 374, 311, 1440, 279, 13155, 315, 24481, 9539, 13, 4418, 1431, 11196, 1618, 584, 9539, 3984, 499, 449, 279, 12250, 10289, 25538, 481, 33410, 19365, 323, 1023, 7032, 34102, 1296, 12912, 1618, 13, 1789, 220, 3101, 15785, 11, 279, 11426, 1288, 9604, 16945, 955, 4860, 902, 6782, 3116, 2671, 505, 902, 499, 617, 311, 5268, 832, 3072, 439, 279, 4495, 4320, 13, 9062, 3488, 24266, 832, 1906, 627, 52, 5683, 277, 43458, 10289, 33410, 2467, 1800, 6938, 198, 791, 7510, 315, 86773, 43458, 10289, 6011, 19786, 279, 14321, 11989, 1603, 220, 605, 311, 220, 868, 2919, 369, 279, 7151, 13, 2052, 279, 13324, 690, 387, 3025, 311, 8745, 2467, 1800, 6938, 12250, 10289, 1555, 279, 4033, 3997, 477, 775, 499, 4232, 1555, 3770, 2728, 7902, 13, 3296, 16661, 279, 9322, 753, 836, 323, 3851, 1396, 14, 2457, 315, 7342, 25689, 1821, 649, 636, 279, 12250, 10289, 25538, 481, 2467, 1800, 6938, 14, 12250, 10289, 31648, 2467, 1800, 6938, 627, 22993, 25538, 481, 14, 31648, 5837, 657, 58641, 315, 12250, 198, 11631, 279, 4686, 12250, 10289, 5837, 657, 58641, 29250, 304, 45080, 304, 279, 1523, 8128, 13, 65538, 3838, 1304, 264, 6300, 892, 2007, 323, 3025, 311, 65836, 279, 549, 4505, 5837, 657, 58641, 13650, 2085, 3775, 13, 7570, 264, 3254, 8712, 499, 3194, 311, 10772, 11, 1070, 374, 264, 19463, 315, 10371, 810, 1396, 315, 4860, 389, 279, 8712, 499, 2163, 13, 7557, 2771, 11157, 430, 499, 9960, 682, 279, 20081, 13650, 13, 2684, 374, 264, 8389, 36024, 369, 279, 5076, 4320, 13, 2100, 11, 13324, 1456, 311, 4320, 4495, 11503, 304, 279, 3488, 5684, 13, 763, 264, 18338, 11, 584, 617, 2728, 499, 279, 13650, 3235, 449, 7151, 4785, 425, 13, 4740, 9954, 315, 701, 7151, 18459, 11, 1456, 311, 16136, 304, 12250, 10289, 8267, 3475, 627, 12, 3331, 45080, 1389, 220, 2075, 49195, 198, 12, 3331, 33025, 1389, 220, 2075, 49195, 198, 12, 48224, 950, 612, 38895, 37083, 3475, 1389, 220, 2075, 49195, 198, 12, 38895, 98087, 3993, 14, 27857, 287, 14, 22107, 3475, 1389, 220, 2075, 49195, 198, 3202, 10289, 16225, 18343, 3161, 38343, 198, 11631, 279, 8155, 220, 20, 1667, 12250, 10289, 18343, 7437, 323, 1456, 311, 2867, 1124, 1306, 9954, 315, 701, 7151, 18459, 13, 578, 810, 499, 2867, 279, 12250, 10289, 5008, 18343, 11, 433, 690, 387, 4228, 369, 499, 311, 7417, 701, 892, 6373, 7512, 13, 6104, 2133, 1555, 279, 12250, 10289, 30013, 18343, 1505, 704, 279, 5361, 3115, 11763, 4860, 323, 1304, 264, 6300, 5296, 13, 6122, 1555, 1884, 3062, 4860, 1603, 832, 6596, 315, 279, 7151, 13, 763, 279, 1523, 8128, 11, 584, 10212, 1063, 315, 279, 12250, 10289, 14905, 3475, 323, 3488, 16064, 902, 649, 387, 24174, 1949, 315, 2853, 627, 12, 12250, 10289, 16225, 18343, 304, 45080, 198, 12, 12250, 10289, 33410, 16225, 18343, 198, 12, 12250, 10289, 25538, 481, 18343, 304, 45080, 11612, 8745, 198, 14809, 74435, 18312, 369, 12250, 10289, 23946, 198, 2213, 62932, 2011, 387, 1633, 16994, 304, 19301, 279, 7252, 12250, 10289, 33410, 13002, 430, 814, 527, 2133, 311, 10772, 13, 578, 4007, 3769, 1288, 3504, 682, 279, 48704, 58641, 13650, 323, 2011, 6847, 49839, 13, 12040, 264, 1427, 520, 1063, 315, 279, 6603, 584, 3984, 1618, 627, 12, 12250, 10289, 25538, 481, 57544, 33410, 13002, 555, 48654, 7911, 66233, 8925, 198, 12, 12250, 10289, 362, 847, 60521, 320, 19717, 481, 8, 31930, 68641, 393, 21042, 15605, 555, 21317, 198, 12, 86773, 43458, 3331, 33025, 25, 2468, 264, 8444, 685, 555, 432, 11079, 66233, 8925, 198, 2213, 62932, 690, 617, 264, 6300, 4623, 389, 872, 19089, 4860, 304, 279, 7151, 5684, 13, 2100, 11, 1306, 28965, 315, 22559, 5422, 11, 11426, 649, 733, 1555, 433, 13, 26504, 682, 279, 11503, 499, 8774, 4495, 477, 539, 13, 2100, 430, 690, 499, 617, 459, 4623, 315, 264, 5439, 7151, 5573, 627, 3202, 10289, 17863, 29598, 14, 31648, 14, 25538, 481, 20223, 4206, 220, 679, 24, 198, 11769, 1060, 279, 7626, 315, 12250, 10289, 6011, 27635, 1063, 45379, 5573, 4184, 311, 5699, 24219, 13, 578, 13324, 2011, 9966, 15785, 6273, 311, 477, 810, 1109, 279, 2218, 12250, 10289, 20223, 1022, 1906, 13, 13266, 11426, 889, 5662, 279, 5439, 7151, 45379, 5573, 690, 387 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 14262, 311, 279, 3838, 315, 3165, 1559, 264, 3544, 1608, 22660, 430, 4024, 1234, 459, 1524, 8294, 2316, 11, 279, 4349, 94565, 13, 1102, 574, 389, 264, 7155, 11, 3389, 6664, 13658, 304, 279, 18526, 6761, 11935, 6424, 315, 13131, 47957, 430, 393, 13, 356, 13, 3165, 1559, 505, 53449, 11, 1561, 4987, 23782, 6563, 55786, 832, 323, 682, 389, 264, 20217, 1598, 2577, 26429, 526, 11013, 2942, 13, 1283, 42423, 3201, 27219, 1403, 1023, 35938, 304, 264, 2840, 2836, 39036, 14130, 311, 387, 79743, 279, 220, 5926, 20, 6126, 300, 1122, 66255, 10995, 33597, 13, 578, 4349, 94565, 574, 13234, 555, 279, 4987, 6825, 13581, 11, 6832, 16665, 1380, 11986, 994, 8223, 34268, 3026, 320, 6836, 927, 279, 4325, 315, 82497, 8, 1051, 18719, 311, 1376, 264, 71513, 1912, 555, 12656, 8270, 320, 68676, 12667, 315, 279, 13581, 8, 304, 220, 9674, 24, 13, 578, 1176, 10517, 25992, 469, 13539, 3013, 347, 315, 6126, 36259, 574, 5762, 555, 279, 13581, 304, 220, 9378, 16, 323, 433, 9731, 311, 420, 1938, 627, 791, 4349, 94565, 753, 836, 574, 78718, 304, 6287, 315, 220, 7028, 23, 1120, 1603, 279, 4857, 8220, 9954, 13, 578, 502, 21967, 574, 25660, 264, 32961, 1306, 1274, 1051, 6656, 3201, 505, 279, 279, 10517, 76541, 921, 10020, 3814, 279, 3766, 1060, 13, 1102, 1193, 3952, 45314, 5672, 311, 9429, 420, 8056, 4857, 1389, 279, 8706, 304, 13131, 47957, 13, 578, 1925, 14321, 574, 220, 5245, 555, 220, 4364, 7693, 11, 279, 6566, 9960, 220, 1135, 865, 220, 1272, 7693, 323, 279, 8582, 18537, 11, 902, 1436, 10954, 220, 17, 11, 931, 11, 10837, 1314, 4883, 279, 9358, 35589, 372, 13, 1102, 574, 13517, 26253, 430, 433, 1053, 10954, 220, 605, 11, 931, 11, 719, 433, 2646, 5115, 2322, 430, 31293, 13, 578, 2362, 4987, 6825, 4857, 574, 70209, 311, 4156, 279, 502, 4857, 304, 39224, 8078, 8761, 323, 1053, 387, 28379, 279, 20277, 1994, 372, 627, 791, 5165, 469, 13539, 3013, 347, 5762, 520, 279, 4349, 94565, 15196, 67, 505, 1202, 39612, 67482, 315, 71513, 7999, 1652, 380, 12301, 1233, 11, 523, 10020, 11, 323, 7200, 320, 1347, 395, 323, 1579, 1974, 13961, 8, 47603, 311, 279, 2068, 13, 763, 220, 7028, 21, 264, 10517, 39679, 14130, 574, 15109, 449, 1057, 1633, 1866, 6625, 6917, 41798, 452, 616, 648, 11220, 4749, 10292, 287, 279, 38508, 627, 644, 220, 5926, 20, 11, 1306, 2225, 87015, 554, 323, 71654, 11, 264, 66255, 10995, 47633, 574, 5343, 304, 279, 469, 13539, 3013, 347, 449, 17971, 612, 51838, 315, 21972, 11, 889, 13234, 279, 2577, 26429, 526, 11013, 2942, 6883, 11, 8405, 7083, 3391, 304, 8515, 38508, 5636, 6761, 323, 15310, 60082, 13, 2684, 574, 1120, 264, 2678, 2339, 1389, 433, 574, 311, 387, 7086, 578, 2577, 26429, 526, 19134, 323, 75524, 1436, 1193, 1005, 872, 1646, 13, 2468, 279, 9954, 315, 279, 14130, 433, 8111, 430, 13324, 1253, 617, 1027, 3984, 449, 264, 502, 2577, 26429, 526, 1611, 27466, 68, 1646, 320, 939, 10395, 1093, 459, 5150, 712, 26429, 526, 705, 264, 502, 1584, 369, 430, 1060, 13, 9176, 79306, 3463, 264, 66255, 10995, 10937, 574, 539, 304, 10494, 449, 279, 7060, 32006, 315, 279, 4987, 6825, 13581, 13, 578, 27535, 34114, 8691, 5068, 304, 6841, 220, 5926, 19, 315, 1202, 35977, 5369, 311, 279, 4987, 6825, 10937, 439, 1054, 497, 34431, 315, 264, 18273, 67409, 11, 832, 11, 430, 4762, 2478, 1053, 1755, 311, 1505, 389, 264, 4987, 6825, 9899, 2029, 2435, 20536, 279, 10015, 1934, 449, 264, 45607, 1245, 14162, 11, 1054, 2181, 8625, 369, 48772, 288, 315, 279, 25826, 40649, 323, 17293, 753, 4960, 79, 311, 4546, 872, 8349, 1603, 279, 4987, 6825, 13581, 2029, 1102, 574, 11, 4869, 264, 2294, 2450, 449, 279, 27219, 2380, 11751, 1821, 505, 682, 4028, 279, 3224, 27260, 304, 4156, 315, 264, 13734, 304, 13937, 315, 220, 18, 11, 2636, 627, 37225, 22865, 9405, 323, 9408, 393, 13, 356, 13, 3165, 1559, 320, 47, 3035, 88, 705, 6052, 311, 813, 7342, 1614, 304, 220, 5926, 22, 320, 69666, 13942, 279, 22279, 304, 220, 5926, 21, 8, 311, 58583, 279, 2316, 13, 1283, 1243, 4024, 1203, 311, 1203, 11230, 304, 220, 5926, 22, 323, 264, 11999, 2316, 574, 3779, 304, 220, 7285, 20, 627, 3112, 1148, 315, 279, 23055, 709, 304, 220, 5926, 20, 30, 36016, 433, 753, 1120, 922, 279, 13946, 1389, 311, 279, 5310, 269, 733, 279, 20016, 8839, 13, 4491, 473, 13, 473, 13, 473, 874, 505, 31714, 28253, 320, 51, 363, 647, 31714, 8, 2011, 617, 1027, 1063, 28790, 16054, 2875, 555, 1120, 1403, 3585, 311, 279, 28812, 393, 13, 356, 13, 3165, 1559, 13, 49932, 1431, 5101, 430, 568, 17427, 279, 2010, 88, 36394, 304, 279, 18249, 3074, 1917, 1093, 279, 13946, 13, 2684, 1051, 912, 810, 6821, 315, 1461, 1694, 9277, 304, 904, 14130, 430, 358, 1436, 4170, 709, 304, 3060, 279, 1194, 3772, 477, 304, 279, 4987, 6825, 7576, 627, 3947, 1051, 1403, 13422, 315, 264, 473, 13, 473, 874, 430, 358, 43522, 13, 77795, 11, 1405, 568, 574, 32230, 369, 264, 11013, 2942, 6727, 520, 279, 17366, 18231, 5046, 578, 10563, 6574, 5762, 304, 279, 4323, 39122, 10913, 11166, 11, 5587, 220, 5926, 23, 13, 578, 2132, 11, 264, 11013, 2942, 7200, 10512, 505, 220, 5926, 24, 11, 1405, 568, 574, 279, 61856, 315, 279, 39995, 2053, 2521, 34202, 66255, 10995, 17366, 13, 15148, 568, 279, 4538, 315, 279, 11495, 26952, 473, 874, 30, 578, 893, 889, 374, 1071, 311, 617, 69375, 279, 24670, 33389, 2606, 5064, 304, 8494, 449, 813, 1403, 4323, 39122, 39995, 2053, 2521, 34202, 13, 15903, 3495, 13533, 539, 11, 719, 7344, 568, 574, 264, 12976, 627, 2127, 346, 4720, 7576, 1501, 264, 53865, 473, 874, 505, 4987, 4323, 39122, 9405, 220, 9367, 22, 323, 8636, 304, 220, 6280, 22, 13, 4435, 5111, 220, 16, 7576, 617, 264, 53865, 473, 874, 11, 9405, 304, 220, 9367, 22, 11, 6832, 12506, 16064, 1047, 813, 30747, 439, 264, 2606, 1450, 45239, 505, 39995, 2053, 2521, 34202, 11, 889, 574, 9405, 320, 438, 594, 4591, 8, 304, 4323, 39122, 13, 16910, 433, 387, 30, 358, 7070, 2019, 433, 753, 264, 1695, 6140, 430, 433, 753, 279, 1890, 473, 473, 874, 430, 374, 31474, 279, 39995, 2053, 2521, 66255, 10995, 17366, 13, 2030, 374, 568, 279, 473, 13, 473, 13, 473, 874, 505, 31714, 28253, 11, 889, 574, 23055, 709, 304, 279, 220, 5926, 20, 2577, 26429, 526, 6126, 300, 1122, 66255, 10995, 19134, 30, 3011, 374, 279, 53474, 16579, 18160, 3488, 13, 15148, 568, 3318, 520, 264, 2606, 304, 279, 31714, 28253, 430, 1060, 30, 12334, 719, 4860, 323, 87015, 554, 1389, 912, 2847, 62124, 627, 40, 1550, 11, 4869, 10299, 311, 25539, 279, 4948, 2035, 34529, 11, 622, 13, 362, 13, 74289, 315, 27109, 65479, 11, 32227, 555, 11677, 13, 763, 459, 46305, 2778, 459, 91706, 74289, 574, 1071, 311, 617, 10862, 279, 6126, 300, 1122, 19134, 369, 264, 22380, 323, 430, 568, 574, 46304, 994, 568, 574, 7376, 23055, 709, 13, 320, 69594, 51028, 13690, 61063, 11, 220, 1313, 6841, 220, 6393, 20, 570, 622, 13, 362, 13, 74289, 8220, 4948, 304, 279, 220, 5926, 20, 48854, 323, 574, 6273, 2132, 304, 279, 87940, 3857, 1193, 832, 1486, 4920, 279, 13946, 32602, 58371, 505, 10780, 11, 4987, 8494, 627, 30287, 480, 46104, 11, 3229, 323, 18249, 3074, 44068, 11, 11007, 430, 91706, 574, 13118, 622, 362, 74289, 11, 1054, 7098, 5584, 477, 28686, 74289, 1053, 617, 311, 387, 7957, 74289, 4562, 315, 279, 4892, 21972, 1183, 309, 3195, 66255, 10995, 17366, 13, 1283, 574, 264, 4333, 315, 393, 13, 356, 13, 3165, 1559, 323, 814, 2225, 46368, 3871, 505, 21972, 311, 13131, 47957, 304, 220, 5926, 20, 311, 3810, 279, 19134, 13, 2876, 2771, 922, 279, 1023, 1667, 13, 1283, 12439, 15038, 2212, 921, 1900, 6798, 14132, 13, 20524, 376, 799, 3165, 1559, 11, 75786, 753, 57896, 11, 27569, 74289, 17136, 872, 3838, 3629, 323, 3930, 52189, 449, 3165, 1559, 13, 358, 4344, 4661, 6928, 430, 91706, 574, 813, 30499, 13, 358, 1781, 568, 574, 14183, 311, 439, 91706, 994, 358, 30147, 1063, 4892, 21972, 1183, 309, 3195, 3697, 1203, 304, 279, 220, 3753, 15, 82, 49216, 30287, 3779, 11, 1054, 2181, 5084, 430, 2225, 3165, 1559, 323, 74289, 1051, 21190, 311, 3810, 279, 48854, 1389, 682, 17057, 555, 17971, 82, 13, 9454, 17971, 574, 1071, 311, 617, 29786, 430, 3165, 1559, 574, 279, 1888, 2851, 568, 1047, 3596, 6755, 323, 1053, 617, 264, 2466, 6140, 315, 11230, 323, 28932, 1461, 311, 3810, 279, 19134, 13, 1442, 3165, 1559, 2834, 11, 568, 8434, 1431, 3596, 20753, 311, 1505, 2500, 2851, 311, 12192, 279, 2577, 26429, 526, 13, 7957, 74289, 11, 1694, 813, 4333, 4762, 4024, 3235, 439, 264, 2132, 5873, 323, 304, 2144, 574, 264, 3451, 42836, 5352, 24535, 1283, 3782, 4948, 13, 1102, 5084, 568, 1243, 29329, 1455, 315, 813, 892, 311, 279, 4892, 21972, 1183, 309, 3195, 66255, 10995, 17366, 11, 304, 2144, 814, 16957, 264, 14975, 5226, 5246, 1306, 49216, 2181, 5992, 1093, 91706, 18538, 279, 4892, 21972, 1183, 309, 3195, 7200, 539, 1317, 1306, 813, 25012, 304, 279, 220, 5926, 20, 19134, 13, 622, 362, 74289, 1903, 279, 11879, 311, 4987, 6825, 3131, 810, 304, 220, 5926, 23, 323, 574, 1578, 9277, 304, 279, 87940, 3857, 25270, 4948, 13, 1283, 3287, 1431, 6381, 304, 279, 1948, 3116, 315, 279, 22279, 3857, 315, 430, 1060, 11, 719, 568, 2643, 539, 617, 10862, 13, 1102, 753, 5115, 3284, 430, 753, 91706, 31474, 304, 279, 220, 7285, 18, 10512, 627, 17111, 763, 578, 4783, 198, 644, 220, 7285, 21, 279, 4349, 94565, 574, 24788, 291, 311, 279, 5015, 555, 4027, 13, 358, 1624, 2111, 1139, 279, 39104, 311, 20328, 952, 279, 6371, 315, 279, 24499, 2201, 13, 578, 2254, 356, 3711, 2646, 16846, 311, 856, 1715, 323, 4987, 6825, 13581, 11, 8051, 26455, 1063, 1520, 11, 3287, 1431, 8312, 904, 5217, 2038, 13, 2684, 574, 912, 3335, 304, 279, 7446, 753, 315, 264, 1934, 315, 459, 4033, 26981, 11, 477, 1524, 422, 87850, 574, 24740, 13, 3092, 38141, 430, 433, 574, 36192, 98988, 4250, 387, 38360, 13, 53466, 1070, 8111, 4400, 1053, 387, 18661, 555, 279, 7980, 439, 433, 574, 1234, 53142, 11, 719, 574, 1070, 1063, 1023, 47094, 369, 4423, 311, 8395, 433, 1523, 30, 362, 45286, 3935, 839, 11013, 2942, 28790, 11, 358, 10712, 433, 11, 719, 499, 1288, 2744, 1427, 3345, 311, 2162, 627, 2181, 574, 5068, 304, 578, 7793, 355, 11, 27535, 220, 1187, 5587, 11, 220, 7285, 21, 430, 279, 4027, 574, 1176, 14000, 555, 264, 18083, 435, 18288, 11, 264, 32981, 889, 5602, 16603, 5108, 505, 279, 1203, 9309, 315, 279, 4349, 94565, 6566, 520, 220, 605, 25, 868, 309, 13, 578, 17035, 574, 35408, 323, 279, 4027, 84972, 11721, 6288, 11, 719, 279, 4027, 436, 3359, 56651, 627, 5159, 3495, 1139, 279, 4027, 58646, 279, 2768, 2038, 627, 16, 8, 578, 4027, 574, 279, 1455, 6129, 304, 13131, 47957, 304, 33517, 1667, 627, 17, 8, 578, 4027, 574, 11352, 555, 279, 32981, 18083, 435, 18288, 889, 5602, 16603, 30456, 279, 6566, 6558, 3221, 279, 6278, 315, 279, 24024, 7147, 11, 1405, 433, 753, 5918, 927, 279, 816, 6172, 2176, 24076, 5613, 287, 627, 18, 8, 9220, 55912, 3536, 11721, 11, 719, 1051, 64788, 291, 555, 8009, 3090, 7410, 323, 264, 24981, 6463, 700, 398, 384, 2352, 398, 10160, 627, 19, 8, 6785, 1543, 6688, 709, 389, 279, 4349, 94565, 994, 814, 5602, 433, 574, 75323, 311, 3665, 323, 38626, 389, 279, 20277, 1994, 372, 627, 20, 8, 25218, 27219, 4330, 4520, 315, 279, 31188, 279, 4349, 94565, 11, 264, 23162, 323, 15730, 16023, 4147, 4857, 11, 574, 76993, 627, 21, 8, 220, 868, 11, 931, 7693, 315, 5818, 4632, 320, 93834, 315, 25719, 299, 5997, 360, 974, 8, 49858, 279, 4027, 627, 22, 8, 82910, 29485, 11, 889, 1047, 82280, 279, 20277, 1994, 372, 369, 279, 1566, 30335, 4038, 11, 1101, 5675, 264, 502, 7083, 18, 11, 931, 11104, 10085, 6329, 320, 37310, 648, 8, 13257, 323, 7083, 22, 11, 931, 315, 1023, 7241, 13, 1115, 574, 872, 1566, 2046, 304, 279, 4349, 94565, 449, 13131, 47957, 3383, 817, 1392, 12604, 323, 4987, 6825, 13581, 4737, 927, 627, 23, 8, 578, 4349, 94565, 323, 8970, 574, 53142, 369, 7083, 21, 11, 931, 320, 15289, 7083, 1032, 11, 931, 311 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 1271, 5376, 279, 23730, 315, 24822, 198, 40, 1781, 5127, 8964, 430, 24822, 2997, 26677, 5995, 369, 279, 3823, 2547, 13, 2057, 10519, 1057, 2890, 11, 24822, 527, 1633, 3062, 3691, 13, 42096, 11, 1023, 6299, 315, 24822, 1778, 439, 7294, 12, 4210, 477, 7294, 1824, 11967, 617, 1101, 1027, 12588, 6666, 13, 4452, 11, 279, 36581, 23730, 315, 11002, 1274, 706, 1027, 27115, 44649, 2533, 279, 16557, 2212, 220, 3753, 20, 13, 10541, 279, 3392, 315, 36581, 23730, 824, 1938, 11349, 304, 279, 1054, 14884, 6457, 220, 1691, 2476, 902, 374, 264, 2890, 4947, 315, 279, 20214, 315, 6401, 11, 18993, 323, 66187, 11, 374, 220, 8652, 342, 11, 279, 5578, 369, 3026, 374, 220, 15531, 342, 323, 369, 3278, 433, 374, 220, 17212, 342, 11, 449, 14188, 315, 1124, 19261, 279, 11349, 3392, 13, 2684, 527, 5370, 8125, 369, 420, 13, 69778, 389, 279, 3185, 315, 8961, 24190, 2997, 30438, 311, 279, 10223, 36263, 323, 3966, 315, 13723, 323, 32145, 264, 15528, 8312, 439, 1790, 439, 3284, 1524, 304, 35663, 10182, 323, 3958, 9282, 13, 2057, 23075, 1521, 11, 4500, 315, 502, 6136, 36680, 323, 52129, 5528, 374, 13375, 520, 1690, 2204, 3495, 11351, 13, 7429, 11, 520, 1057, 32184, 315, 95392, 68420, 10170, 11, 5370, 9045, 527, 1694, 1903, 304, 20632, 449, 1690, 8961, 24190, 11, 505, 902, 52129, 5528, 33647, 439, 18699, 323, 11784, 29054, 527, 9405, 627, 2118, 114366, 85, 425, 26676, 40227, 863, 315, 41980, 41613, 198, 4054, 315, 279, 3293, 3495, 288, 430, 527, 16785, 1664, 374, 264, 502, 1749, 311, 3139, 41980, 41613, 13, 5659, 279, 7314, 11, 41613, 617, 1027, 304, 1579, 7631, 304, 6457, 323, 872, 13018, 6763, 527, 279, 8592, 315, 682, 24822, 13, 10541, 3544, 41613, 1511, 311, 387, 264, 1925, 2027, 11, 13723, 529, 36263, 617, 17626, 4726, 311, 11298, 28935, 323, 41980, 41613, 323, 11, 1457, 41980, 41613, 2759, 369, 220, 605, 3346, 477, 810, 315, 2860, 42120, 5788, 13, 42096, 11, 41980, 41613, 315, 5370, 8146, 617, 1027, 8040, 11, 323, 264, 2134, 315, 34966, 41613, 527, 32393, 709, 304, 10756, 13, 763, 279, 3938, 11, 279, 7631, 369, 41980, 41613, 374, 3685, 311, 5376, 627, 8607, 1274, 617, 459, 2217, 430, 279, 42120, 374, 264, 36581, 315, 7474, 11, 719, 304, 2144, 11, 41613, 527, 264, 1633, 5107, 36581, 311, 3139, 304, 1825, 19677, 52129, 2391, 7474, 13, 5629, 11, 994, 279, 9499, 374, 220, 1758, 12628, 477, 810, 11, 279, 79784, 48111, 315, 264, 42120, 374, 11293, 11, 323, 433, 1587, 539, 6847, 11984, 14098, 13, 763, 1023, 4339, 11, 79784, 374, 539, 9124, 779, 1790, 11, 323, 279, 42120, 9221, 653, 36698, 1285, 13, 7429, 11, 304, 1579, 20472, 11, 279, 2579, 77678, 326, 67866, 1994, 1587, 539, 2274, 13, 8529, 20798, 656, 539, 2543, 2579, 323, 4619, 3719, 834, 2119, 3093, 13, 24296, 11, 9282, 1778, 439, 2288, 1790, 11422, 12992, 279, 5326, 315, 8624, 13, 578, 3293, 7474, 9282, 304, 6457, 449, 671, 86336, 1579, 20472, 323, 21420, 8987, 11422, 706, 40028, 41613, 48291, 13, 15636, 11, 584, 8040, 264, 502, 52129, 1749, 11, 1054, 114366, 85, 425, 26676, 40227, 863, 315, 41980, 41613, 11, 304, 902, 5788, 2391, 279, 1579, 7474, 3280, 374, 3284, 323, 433, 374, 1101, 9511, 59085, 627, 791, 1486, 315, 420, 52129, 1749, 374, 311, 38732, 220, 17, 296, 1579, 29049, 549, 35831, 12899, 51879, 220, 17, 296, 10980, 11, 449, 459, 10074, 315, 220, 17, 296, 1990, 1855, 26078, 11, 323, 2231, 264, 4272, 8244, 389, 1124, 304, 2015, 311, 9504, 279, 44814, 315, 41613, 13, 6914, 1303, 279, 44814, 323, 11141, 26438, 279, 4272, 1303, 374, 264, 6724, 502, 4623, 11, 902, 374, 539, 1766, 304, 279, 8776, 52129, 1749, 315, 41980, 41613, 13, 13538, 1317, 11, 264, 26711, 449, 8040, 44814, 323, 11141, 374, 14454, 13, 362, 2763, 315, 40120, 17503, 389, 279, 11141, 4994, 315, 279, 26711, 11, 72192, 7397, 74767, 13, 4452, 11, 279, 4871, 315, 279, 26711, 1587, 539, 636, 3403, 40120, 4245, 311, 279, 99359, 11141, 11, 323, 279, 9499, 374, 4827, 7863, 311, 279, 4994, 11, 1405, 279, 14098, 374, 9124, 627, 3947, 527, 3892, 22934, 304, 420, 42116, 85, 425, 26676, 40227, 13, 5629, 11, 5788, 304, 279, 1579, 7474, 3280, 374, 3284, 11, 323, 11761, 7631, 649, 387, 2322, 994, 279, 33111, 8286, 315, 41980, 41613, 374, 2678, 13, 763, 5369, 11, 439, 279, 5995, 7241, 17610, 1193, 315, 279, 12899, 51879, 11, 53557, 11, 323, 15975, 28075, 3673, 11, 279, 2926, 9341, 2853, 374, 1193, 922, 832, 30277, 315, 430, 369, 264, 37647, 13, 763, 3293, 1667, 11, 33489, 706, 1101, 1027, 14243, 20727, 555, 5933, 51751, 1778, 439, 66579, 6957, 279, 3224, 13, 42116, 85, 425, 26676, 40227, 1436, 387, 11190, 369, 20957, 311, 11993, 505, 1778, 5674, 13, 24296, 11, 8051, 279, 19641, 7692, 824, 5089, 3158, 505, 42116, 85, 425, 26676, 40227, 374, 1193, 10284, 5190, 1109, 369, 279, 8776, 52129, 1749, 11, 994, 433, 4131, 311, 279, 19641, 7692, 824, 6136, 11, 433, 374, 4330, 311, 4848, 3115, 315, 430, 315, 279, 8776, 52129, 1749, 13, 1789, 3187, 11, 433, 3445, 430, 4619, 315, 48114, 220, 2636, 11012, 1603, 11, 1193, 220, 1041, 11012, 527, 4460, 13, 2876, 1193, 374, 279, 2853, 315, 23395, 11012, 11293, 11, 422, 499, 649, 8448, 41980, 41613, 304, 279, 7474, 994, 1579, 7729, 527, 3685, 4245, 311, 39259, 315, 5708, 11, 22613, 690, 387, 24872, 13, 1628, 439, 279, 52129, 836, 1054, 114366, 85, 425, 863, 5039, 11, 6650, 374, 2163, 7636, 323, 1070, 374, 2697, 6373, 315, 52129, 13, 57817, 315, 2678, 323, 26225, 68543, 323, 11141, 11, 902, 574, 4460, 19352, 1555, 279, 7982, 4261, 304, 279, 8776, 52129, 315, 42120, 11, 374, 5995, 1193, 2391, 279, 2926, 7982, 4261, 323, 11, 52129, 6373, 1778, 439, 5425, 2269, 86795, 2065, 323, 73841, 374, 4661, 26225, 13, 23212, 11, 1070, 374, 912, 990, 1778, 439, 19815, 9160, 28075, 320, 652, 38302, 315, 1925, 323, 45569, 23962, 15042, 311, 264, 3738, 1404, 705, 46301, 315, 86529, 11, 477, 23749, 315, 6136, 6650, 40242, 320, 21494, 36908, 13307, 8, 311, 70236, 279, 18534, 315, 26390, 304, 279, 7474, 13, 4314, 22934, 527, 33647, 439, 18699, 323, 42116, 85, 425, 26676, 40227, 706, 1457, 3940, 311, 3719, 5526, 29054, 11, 14918, 304, 279, 2057, 71, 16900, 5654, 627, 2118, 91682, 56935, 26676, 40227, 6872, 315, 3861, 4771, 6418, 50298, 863, 304, 439, 94789, 198, 791, 1054, 91682, 56935, 26676, 40227, 6872, 315, 3861, 4771, 6418, 50298, 863, 304, 439, 94789, 374, 1101, 264, 502, 52129, 1749, 33647, 439, 18699, 13, 763, 264, 8776, 1749, 315, 7982, 439, 94789, 11, 433, 374, 39441, 304, 3297, 1555, 5651, 994, 912, 45834, 5674, 374, 3685, 11, 323, 374, 60196, 3149, 1202, 6136, 13, 56935, 374, 3940, 832, 477, 1403, 1667, 3010, 11, 323, 520, 279, 7314, 11, 279, 24322, 8286, 374, 82178, 311, 79530, 279, 11012, 1578, 13, 7357, 1060, 11, 279, 24322, 8286, 374, 7319, 11, 323, 279, 52129, 374, 8738, 369, 922, 220, 868, 1667, 13, 578, 3575, 449, 279, 8776, 52129, 1749, 374, 279, 1579, 39775, 315, 19338, 1606, 439, 94789, 9731, 311, 387, 15042, 320, 22025, 66735, 61243, 8, 304, 279, 1890, 2115, 13, 763, 36581, 52129, 11, 19815, 100037, 374, 31890, 439, 1790, 439, 3284, 26, 4619, 11, 31665, 527, 46720, 1405, 1306, 832, 36581, 374, 67572, 11, 2500, 36581, 374, 15042, 13, 4452, 11, 439, 94789, 374, 7120, 86581, 369, 12984, 100037, 1606, 433, 5097, 3892, 1667, 369, 264, 5912, 24322, 323, 1524, 1306, 430, 11, 84911, 315, 11012, 323, 66747, 527, 11763, 927, 3892, 1667, 13, 1628, 433, 574, 2744, 5995, 311, 4465, 2403, 19338, 13, 15636, 11, 3196, 389, 3495, 315, 279, 78152, 323, 72546, 315, 439, 94789, 11, 584, 617, 8040, 264, 502, 1749, 311, 3139, 439, 94789, 627, 2409, 439, 94789, 11, 2395, 1590, 34044, 304, 264, 220, 1272, 12, 311, 220, 1135, 11477, 11008, 11, 323, 44814, 323, 11141, 41972, 13, 763, 6457, 11, 15042, 44814, 323, 11141, 2543, 14071, 304, 279, 42774, 323, 11, 50123, 1380, 2588, 505, 279, 44814, 323, 11141, 311, 22408, 450, 20969, 13980, 13, 763, 279, 12688, 11, 44814, 323, 11141, 449, 261, 320, 67, 494, 6709, 8, 323, 527, 74159, 13, 1628, 279, 2768, 1060, 11, 279, 11012, 315, 279, 439, 94789, 1212, 311, 3139, 1578, 505, 279, 1404, 814, 1051, 1603, 279, 44814, 323, 11141, 449, 12616, 13, 763, 1023, 4339, 11, 422, 279, 44814, 323, 11141, 3139, 3544, 555, 42774, 304, 279, 3766, 1060, 11, 584, 649, 1755, 430, 1690, 2395, 1590, 690, 387, 67572, 304, 279, 2768, 1060, 13, 15636, 11, 584, 3782, 709, 449, 459, 4623, 311, 12178, 279, 18912, 369, 48114, 311, 7552, 1555, 5587, 11, 539, 304, 3297, 13, 578, 7982, 11008, 315, 2395, 1590, 374, 11084, 555, 810, 1109, 832, 11008, 320, 1272, 311, 220, 1135, 2919, 570, 4452, 11, 1070, 374, 45834, 5674, 304, 7552, 1555, 5587, 13, 14636, 11, 584, 8040, 264, 502, 14473, 369, 23183, 48114, 2663, 16071, 261, 320, 4781, 306, 15639, 705, 555, 902, 584, 649, 6136, 439, 94789, 520, 264, 8149, 315, 922, 220, 868, 10166, 11, 4619, 315, 48114, 433, 3221, 279, 7479, 315, 279, 5015, 13, 1666, 264, 1121, 11, 433, 706, 1027, 17033, 430, 1524, 422, 433, 374, 1633, 9439, 11, 279, 22408, 450, 20969, 315, 439, 94789, 649, 387, 2682, 13, 1666, 94789, 39441, 555, 420, 16071, 261, 304, 7552, 1555, 5587, 14264, 311, 264, 1404, 1778, 430, 12314, 439, 94789, 1436, 387, 67572, 304, 279, 1828, 1060, 11, 323, 369, 279, 1193, 2380, 4038, 315, 279, 1828, 10683, 11, 810, 1109, 11157, 279, 1396, 315, 2395, 1590, 7863, 311, 279, 9974, 5578, 19641, 7692, 824, 5089, 3158, 304, 279, 3224, 574, 67572, 13, 24296, 11, 422, 682, 44814, 527, 67572, 449, 430, 4261, 11, 584, 656, 539, 1205, 311, 79530, 810, 11012, 13, 578, 5326, 315, 8624, 374, 11293, 11, 323, 1306, 682, 2395, 1590, 67572, 11, 279, 2115, 374, 49791, 11, 1405, 1023, 24822, 649, 387, 15042, 320, 4744, 1697, 100037, 570, 3161, 439, 94789, 11, 5936, 374, 2663, 279, 2349, 2017, 4261, 315, 10683, 24322, 320, 9493, 6307, 37002, 15042, 31665, 842, 323, 1603, 1825, 2115, 2427, 4935, 31665, 3240, 8, 323, 279, 11862, 8286, 43154, 29054, 26, 4869, 11, 422, 420, 52129, 1749, 315, 66747, 682, 279, 11012, 60196, 3149, 369, 832, 1060, 11, 2663, 41593, 56935, 26676, 40227, 6872, 315, 3861, 4771, 6418, 50298, 11, 374, 11784, 2391, 279, 4261, 11, 2395, 1590, 315, 439, 94789, 649, 387, 28358, 304, 3544, 8286, 13, 4314, 3585, 527, 33647, 439, 18699, 11, 323, 2533, 584, 17880, 7376, 420, 52129, 1749, 304, 220, 679, 21, 520, 264, 54675, 42292, 8961, 24190, 323, 29149, 54918, 11, 56694, 11, 323, 3885, 11, 433, 706, 1027, 17626, 1139, 10496, 3495, 288, 449, 1690, 2204, 59589, 323, 3495, 94812, 11, 6041, 449, 40705, 449, 23541, 13607, 1778, 439, 98538, 4409, 11, 350, 3105, 4409, 304, 27286, 11, 323, 94636, 1295, 4409, 304, 16762, 6388, 43688, 63293, 13, 763, 279, 3221, 3938, 11, 279, 46935, 439, 94789, 555, 41593, 56935, 26676, 40227, 6872, 315, 3861, 4771, 6418, 50298, 1253, 1304, 1202, 3157, 17755, 627, 2127, 4623, 369, 264, 42445, 4131, 505, 5370, 11704, 198, 791, 4623, 369, 41593, 56935, 26676, 40227, 6872, 315, 3861, 4771, 6418, 50298, 304, 439, 94789, 3782, 505, 264, 52129, 1749, 315, 48114, 279, 10533, 19342, 315, 41613, 369, 23661, 320, 2000, 8863, 1005, 8, 5655, 304, 279, 5015, 320, 318, 96608, 15975, 28075, 1749, 705, 902, 358, 10534, 1418, 358, 574, 3318, 304, 30162, 5770, 43688, 63293, 13, 1442, 584, 3217, 2204, 5528, 315, 7982, 24822, 304, 1690, 13918, 11, 584, 3719, 3025, 311, 1781, 709, 1690, 13124, 315, 6848, 902, 527, 1949, 505, 264, 14135, 50962, 1749, 311, 3139, 1855, 19641, 13, 763, 279, 1162, 315, 42116, 85, 425, 26676, 40227, 315, 41980, 41613, 1101, 11, 433, 574, 3062, 311, 3373, 264, 6136, 8205, 32599, 311, 279, 52129, 1749, 13, 18317, 36680, 6832, 44814, 26438, 1664, 3403, 311, 3504, 279, 12899, 51879, 315, 459, 29049, 549, 6211, 323, 1304, 264, 26711, 320, 327, 25777, 2655, 536, 74595, 367, 8, 527, 2478, 304, 1396, 13, 1226, 11763, 7177, 311, 1505, 505, 4315, 1124, 264, 6136, 8205, 449, 1695, 2655, 536, 74595, 367, 11, 4228, 14098, 18534, 1524, 304, 4106, 9282 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 27831, 20057, 11, 25452, 323, 28286, 9045, 527, 7366, 304, 279, 1314, 5216, 11, 279, 18338, 315, 2349, 8625, 61437, 369, 1063, 63334, 26, 4948, 14002, 315, 10795, 23134, 555, 25464, 5158, 11, 71474, 22952, 323, 7462, 48896, 668, 21667, 323, 810, 198, 51577, 11, 11162, 1389, 89789, 60487, 9045, 311, 12192, 15098, 17226, 11, 77109, 323, 29408, 990, 49896, 927, 279, 3347, 1060, 11, 26255, 6864, 320, 11539, 8, 19339, 527, 4737, 5296, 315, 872, 3674, 323, 13166, 12014, 304, 32145, 7191, 10026, 11, 19739, 323, 22277, 20057, 13, 4314, 1401, 14955, 527, 505, 279, 4948, 14002, 315, 279, 44595, 11344, 18880, 24507, 11, 23134, 555, 279, 5165, 71474, 18880, 10229, 320, 37426, 5158, 705, 71474, 22952, 11, 323, 7462, 48896, 668, 627, 15218, 574, 14890, 505, 220, 19166, 44595, 19339, 11, 264, 5199, 5376, 505, 220, 9639, 19339, 430, 31408, 304, 279, 3766, 14002, 11, 14393, 459, 24069, 2860, 315, 400, 4146, 13, 19, 7239, 304, 12032, 1234, 6373, 11, 389, 872, 11005, 6373, 12659, 323, 389, 279, 63334, 315, 7154, 220, 20, 11, 931, 8420, 13, 578, 10795, 1766, 430, 279, 5064, 706, 1903, 8738, 5208, 927, 279, 3347, 1403, 1667, 304, 5789, 315, 20057, 11, 25452, 323, 28286, 320, 1170, 40, 570, 4497, 1109, 1403, 2269, 333, 17323, 315, 44595, 19339, 49098, 617, 264, 20057, 8446, 320, 3391, 11587, 477, 459, 28286, 8446, 320, 3174, 34971, 264, 5199, 7940, 505, 220, 679, 23, 11, 994, 1120, 220, 843, 4, 323, 220, 2148, 4, 315, 19339, 49098, 11, 15947, 11, 5068, 3515, 3060, 264, 20057, 477, 459, 28286, 8446, 627, 791, 10795, 49680, 14955, 505, 3347, 1667, 430, 19339, 449, 264, 3823, 6864, 8446, 617, 7191, 5219, 315, 3278, 323, 5348, 15749, 1109, 19339, 2085, 264, 8446, 13, 10771, 311, 279, 220, 2366, 15, 828, 11, 44595, 19339, 49098, 449, 264, 20057, 477, 28286, 8446, 320, 269, 2225, 8, 1934, 430, 220, 914, 4, 315, 9341, 15749, 527, 3278, 7863, 311, 220, 508, 4, 520, 19339, 49098, 449, 14188, 8446, 13, 763, 5369, 11, 220, 20, 4, 315, 9341, 15749, 1051, 5348, 8420, 520, 19339, 449, 832, 477, 2225, 15174, 7863, 311, 220, 18, 4, 520, 19339, 449, 14188, 8446, 627, 2118, 8607, 44595, 19339, 4028, 279, 26031, 617, 1027, 45777, 4954, 3467, 40, 323, 433, 574, 26921, 311, 1518, 279, 1579, 35435, 875, 304, 19339, 24435, 304, 279, 220, 2366, 15, 10795, 7863, 311, 220, 679, 23, 2029, 1071, 38481, 19372, 11, 4872, 323, 12432, 315, 25464, 5158, 13, 1054, 37, 14742, 15718, 449, 54917, 323, 14944, 2786, 527, 6522, 279, 1648, 13, 28993, 11, 279, 5064, 374, 7366, 304, 279, 1314, 5216, 26, 4869, 11, 279, 13340, 315, 3278, 323, 1274, 315, 1933, 304, 9341, 5597, 3339, 10093, 8625, 3428, 13, 1226, 3987, 19339, 649, 1005, 279, 10795, 3135, 311, 32834, 434, 323, 63652, 3823, 6864, 15174, 311, 43880, 5064, 5208, 49216, 30014, 20057, 9879, 27946, 20192, 2533, 220, 679, 23, 198, 8142, 3278, 5101, 311, 7293, 1234, 53859, 389, 9341, 7411, 323, 439, 9341, 5597, 29414, 520, 44595, 19339, 11, 872, 5219, 3136, 311, 14297, 9327, 40872, 13, 49669, 832, 58414, 320, 1419, 11587, 315, 9341, 15749, 304, 279, 5064, 527, 3278, 11, 709, 1120, 1403, 3585, 505, 220, 1691, 4, 304, 220, 679, 23, 13, 11215, 1101, 3412, 10284, 810, 10195, 11852, 13073, 520, 44595, 19339, 11, 14393, 220, 845, 4, 315, 9341, 8717, 3432, 7863, 311, 220, 975, 4, 304, 220, 679, 23, 13, 578, 12474, 5376, 574, 12715, 4315, 27144, 11852, 8954, 9341, 15749, 11, 1405, 13340, 7319, 311, 220, 1644, 4, 320, 455, 505, 220, 1591, 4, 304, 220, 679, 23, 4390, 3648, 311, 279, 220, 2366, 15, 4007, 11, 828, 14890, 389, 11692, 28423, 369, 9341, 15749, 1766, 430, 8954, 8420, 4097, 220, 1187, 4, 315, 1884, 889, 82316, 12789, 11, 220, 1691, 4, 315, 1884, 889, 4097, 279, 7626, 389, 279, 21126, 315, 20136, 5220, 11, 220, 1691, 4, 315, 7626, 9341, 13093, 3697, 323, 220, 972, 4, 315, 6373, 2883, 7980, 627, 46233, 1063, 5627, 11, 420, 1060, 753, 828, 2216, 5039, 603, 264, 24162, 315, 1403, 9919, 994, 433, 4131, 311, 279, 5536, 315, 20057, 11, 25452, 323, 28286, 520, 44595, 10736, 13, 358, 1097, 18949, 311, 1518, 279, 5208, 389, 99139, 7319, 10026, 20057, 2476, 1071, 10335, 462, 24421, 11, 12717, 11, 7462, 48896, 668, 47511, 69065, 323, 17192, 10716, 315, 9434, 20057, 11, 25452, 323, 28286, 13, 1054, 11458, 11, 44595, 19339, 323, 682, 11351, 617, 264, 2763, 315, 990, 2163, 311, 656, 304, 10043, 20057, 11, 25452, 323, 28286, 4315, 19739, 323, 22277, 40804, 11, 1418, 14691, 311, 3351, 4741, 389, 10026, 13, 435, 14742, 1288, 63652, 74281, 11, 36387, 323, 56501, 17226, 11005, 422, 814, 527, 311, 1977, 264, 27465, 4676, 323, 7829, 430, 374, 9615, 77109, 323, 29408, 49216, 49, 33211, 323, 22277, 40804, 1253, 539, 387, 84015, 505, 3467, 40, 9045, 520, 279, 1890, 4478, 439, 1023, 63334, 198, 20397, 279, 5208, 11054, 304, 420, 1060, 753, 10795, 11, 1790, 990, 8625, 1606, 1070, 8111, 2103, 311, 387, 264, 6996, 315, 19739, 323, 22277, 20057, 304, 279, 44595, 5064, 13, 578, 4478, 520, 902, 2349, 374, 4737, 2035, 374, 6435, 323, 555, 912, 3445, 77109, 4028, 49098, 19339, 25, 10026, 5602, 279, 1455, 2001, 8051, 2678, 2001, 18637, 11, 20444, 5208, 369, 19739, 323, 22277, 40804, 574, 7347, 323, 1524, 2160, 55071, 304, 1063, 13422, 627, 791, 1396, 315, 9341, 15749, 4315, 19739, 323, 22277, 40804, 35901, 1234, 53859, 304, 44595, 20025, 7882, 2533, 279, 220, 679, 23, 10795, 25, 44595, 19339, 5068, 220, 19, 4, 5348, 9341, 15749, 320, 5807, 1636, 311, 220, 18, 4, 304, 220, 679, 23, 8, 323, 220, 19, 4, 41985, 477, 44862, 9341, 15749, 320, 2996, 505, 220, 20, 4, 304, 220, 679, 23, 570, 578, 11668, 315, 9341, 8427, 10093, 5762, 555, 5348, 8420, 574, 220, 18, 4, 320, 3265, 3811, 505, 279, 4972, 10795, 8, 323, 41985, 477, 44862, 8420, 41853, 369, 220, 19, 4, 315, 9341, 8717, 320, 5807, 1636, 311, 220, 18, 4, 304, 220, 679, 23, 4390, 2118, 25162, 48639, 520, 19339, 11, 1317, 9341, 25492, 11, 6020, 5326, 11, 38088, 5064, 8060, 7969, 323, 264, 4009, 32505, 26031, 617, 1903, 16661, 323, 73820, 304, 44595, 264, 8815, 369, 5606, 11, 719, 8104, 369, 1884, 505, 35901, 1234, 53859, 5315, 2476, 1071, 10455, 309, 14433, 593, 11, 11145, 7690, 315, 71474, 22952, 13, 1054, 37426, 5158, 17880, 11887, 71474, 22952, 1566, 1060, 311, 1520, 2686, 1063, 315, 1521, 11774, 449, 5070, 369, 2225, 5064, 68558, 323, 9749, 15167, 311, 2680, 13, 67975, 4954, 279, 30740, 311, 4441, 323, 2450, 323, 15718, 449, 14944, 2786, 994, 3339, 11005, 34102, 11, 38231, 323, 20862, 11429, 649, 6678, 1317, 9860, 2349, 49216, 32, 1650, 311, 1957, 369, 549, 815, 13, 44595, 19339, 198, 791, 44595, 5064, 706, 264, 12014, 430, 2289, 3117, 7953, 4780, 369, 1202, 15167, 13, 650, 34645, 6678, 907, 369, 2683, 11987, 323, 10383, 35490, 13, 2435, 527, 520, 279, 52301, 315, 907, 9886, 1555, 19297, 369, 8396, 627, 14305, 44595, 5064, 24266, 264, 2294, 3674, 12014, 311, 18824, 3467, 40, 2476, 1071, 47363, 36593, 11, 25261, 323, 44701, 18646, 7690, 11, 7462, 48896, 668, 612, 57895, 1557, 69065, 323, 25261, 323, 44701, 879, 6650, 7808, 13, 1054, 11539, 19339, 1253, 1205, 311, 733, 7953, 5042, 7859, 279, 1396, 315, 3697, 315, 1234, 53859, 5315, 304, 2204, 4595, 315, 10093, 422, 814, 527, 311, 1977, 264, 27465, 4676, 323, 7829, 430, 374, 9615, 29408, 13, 44595, 19339, 1288, 387, 3411, 4028, 279, 44595, 48608, 323, 39210, 449, 264, 9200, 18848, 323, 3831, 38575, 311, 6678, 46417, 2349, 49216, 35502, 311, 279, 1176, 323, 2132, 47634, 11, 420, 1060, 753, 1934, 1101, 36611, 15174, 311, 5376, 3467, 40, 311, 1520, 44595, 19339, 3136, 7366, 279, 31409, 4741, 13, 1115, 5764, 26984, 828, 11, 6376, 9021, 369, 279, 7626, 323, 25976, 264, 1920, 311, 11322, 1884, 9021, 13, 4997, 592, 34102, 7620, 449, 459, 17626, 4009, 11, 10396, 369, 38231, 323, 8670, 369, 20862, 1253, 1101, 3493, 810, 6776, 311, 5376, 279, 20057, 315, 264, 32027, 627, 11631, 279, 2539, 1934, 1618, 627, 6182, 279, 21416, 28065, 1618, 627, 791, 44595, 11344, 18880, 24507, 11, 23134, 555, 279, 5165, 71474, 18880, 10229, 320, 37426, 5158, 705, 71474, 22952, 323, 7462, 48896, 668, 8720, 288, 279, 1614, 315, 20057, 11, 25452, 323, 28286, 304, 279, 26255, 6864, 5064, 13, 578, 4948, 14002, 315, 279, 14529, 4101, 5825, 264, 2592, 315, 2038, 430, 6276, 19339, 311, 29531, 5694, 2403, 5064, 12659, 323, 8779, 1124, 10765, 18699, 20414, 311, 12192, 3467, 40, 13, 578, 10795, 20802, 828, 505, 220, 19166, 26255, 6864, 19339, 11, 14393, 459, 24069, 2860, 315, 400, 4146, 13, 19, 7239, 304, 12032, 1234, 6373, 11, 389, 872, 11005, 6373, 12659, 323, 389, 279, 63334, 315, 7154, 220, 20, 11, 931, 8420, 627, 10714, 279, 5165, 71474, 18880, 10229, 198, 791, 5165, 71474, 18880, 10229, 320, 37426, 5158, 8, 8654, 16345, 279, 1828, 9659, 315, 3778, 5220, 430, 690, 10633, 279, 8752, 315, 16986, 13, 1666, 279, 7899, 315, 279, 549, 815, 13, 26255, 6864, 323, 21210, 4029, 11, 25464, 5158, 28424, 369, 586, 4947, 430, 11815, 279, 3778, 70406, 26031, 13, 72743, 279, 26255, 4029, 439, 279, 864, 336, 14168, 6696, 15360, 11, 25464, 5158, 11977, 279, 26255, 4029, 369, 2450, 11, 13788, 439, 279, 6522, 5211, 369, 26255, 6864, 828, 11, 15325, 6873, 11, 14734, 35054, 28271, 323, 29130, 13, 1789, 810, 2038, 922, 25464, 5158, 11, 4587, 4034, 8604, 1276, 85, 936, 2726, 627, 10714, 71474, 22952, 198, 77632, 554, 22952, 20722, 279, 3823, 6864, 11, 7829, 11, 2819, 323, 19775, 315, 26255, 6864, 311, 12192, 264, 3831, 323, 29408, 4029, 430, 690, 10633, 279, 8752, 315, 16986, 13, 2057, 6211, 279, 3938, 315, 26255, 6864, 11, 71474, 22952, 19159, 8915, 15840, 11, 828, 323, 3495, 323, 19092, 5070, 430, 527, 66388, 279, 26255, 26031, 753, 5845, 311, 41972, 13, 71474, 22952, 374, 264, 220, 14408, 1361, 2432, 18, 8, 12899, 7471, 311, 279, 5165, 71474, 18880, 10229, 320, 37426, 5158, 570, 1789, 810, 2038, 11, 4034, 26255, 13741, 2726, 627, 16939, 48896, 668, 5825, 5064, 69475, 25261, 11, 31831, 11, 3827, 323, 41537, 3600, 311, 1690, 315, 279, 1917, 753, 1455, 64747, 16097, 11, 2737, 7154, 220, 1954, 4, 315, 279, 46331, 220, 2636, 12175, 323, 810, 1109, 220, 22, 11, 931, 879, 5220, 13, 5751, 1274, 2586, 3871, 369, 279, 7191, 1695, 323, 990, 4028, 279, 5064, 26593, 430, 6678, 323, 6211, 3432, 753, 30633, 2001, 24944, 66303, 323, 29869, 3135, 430, 1520, 55414, 586, 7095, 304, 1057, 6864, 11987, 11, 31740, 8403, 311, 1518, 11774, 439, 10708, 311, 5276, 323, 41972, 11, 323, 1520, 3063, 279, 1648, 9017, 264, 16643, 8752, 323, 264, 39345, 8396, 13, 7462, 48896, 668, 374, 12691, 311, 387, 961, 315, 279, 7928, 3728, 6721, 3600, 4009, 13788, 1057, 8403, 304, 279, 11987, 430, 527, 1455, 3062, 311, 1124, 13, 4800, 32689, 220, 10005, 1667, 315, 2532, 11, 1057, 4009, 315, 4562, 19339, 45395, 810, 1109, 220, 3965, 5961, 323, 39543, 13, 15281, 1268, 7462, 48896, 668, 753, 810, 1109, 220, 10568, 11, 931, 1274, 15603, 4667, 369, 5536, 520, 8604, 962, 20782, 97773, 916, 627, 16939, 48896, 668, 19813, 311, 832, 477, 810, 315, 7462, 48896, 668, 57895, 1557, 2057, 35401, 51843, 19439, 11, 264, 6560, 879, 2883, 7347, 555, 15803, 27179, 10822, 13778, 56955, 1202, 4009, 315, 4562, 19339, 11, 323, 872, 5552, 15086, 13, 26065, 13778, 323, 1855, 315, 1202, 4562, 19339, 527, 26267, 8821, 323, 9678, 15086, 13, 26065, 13778, 320, 19171, 14183, 311, 439, 1054, 16939, 48896, 668, 8121, 33611, 1587, 539, 3493, 3600, 311, 8403, 13, 763, 279, 3723, 4273, 11, 7462, 48896, 668, 19813, 311, 832, 477, 810, 315, 279, 2326, 4562, 19339, 315, 26065, 13778, 11, 872, 5552, 15086, 430, 14816, 1701, 279, 1054, 16939, 48896, 668, 863, 836, 304, 279, 3723, 4273, 323, 872, 20081, 32133, 13, 35211, 3600, 1253, 539, 387, 2561, 311, 88017, 8403, 1234, 279, 5718, 323, 14640, 315, 586, 24043, 13, 5321, 1518, 8604, 962, 20782, 97773, 916, 43616, 311, 4048, 810, 922, 1057, 3728, 4009, 315, 4562, 19339, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2746, 1070, 574, 4205, 499, 4460, 311, 2778, 704, 704, 922, 8215, 19, 11, 430, 374, 1405, 499, 649, 656, 433, 13, 4427, 73222, 527, 95119, 398, 9615, 10374, 20181, 315, 315, 11441, 520, 220, 16, 733, 311, 1427, 520, 7724, 93107, 389, 6730, 3131, 814, 1436, 387, 14324, 1063, 2466, 8515, 13, 1226, 23289, 3794, 832, 315, 279, 1888, 6209, 323, 38663, 3974, 20637, 6369, 6732, 374, 3062, 13, 1115, 2199, 24400, 389, 5042, 279, 220, 22, 1888, 6822, 6730, 6732, 13, 7531, 907, 36595, 11, 3185, 14656, 25034, 4668, 31085, 82, 11, 323, 4856, 810, 520, 1057, 2816, 627, 20944, 1877, 59384, 527, 264, 2294, 2035, 311, 1456, 704, 323, 9526, 449, 502, 16872, 21168, 13, 24830, 11, 499, 1253, 45063, 6392, 499, 3287, 1431, 1524, 1440, 499, 14333, 0, 2052, 433, 5097, 374, 279, 1314, 3974, 6730, 3828, 311, 1486, 704, 499, 279, 65046, 13, 1472, 4805, 31805, 682, 279, 14329, 6732, 499, 617, 3596, 12263, 13, 4212, 311, 1440, 889, 499, 4805, 387, 14956, 304, 1521, 1156, 22312, 287, 5743, 1877, 59384, 13, 1472, 4805, 387, 12304, 311, 1440, 430, 29397, 19, 8415, 388, 311, 264, 8205, 315, 94014, 505, 682, 6956, 315, 279, 1917, 627, 2170, 264, 45805, 14825, 893, 818, 36444, 11, 499, 649, 8547, 709, 5042, 555, 17265, 5196, 2345, 98936, 11, 499, 1101, 11322, 25836, 555, 12588, 1957, 21258, 11, 5636, 904, 18726, 323, 3118, 30466, 662, 350, 5772, 374, 4228, 323, 1253, 387, 2884, 449, 279, 18965, 315, 264, 3215, 13, 3011, 9932, 11, 499, 4805, 1288, 3780, 6807, 1603, 499, 4805, 387, 3025, 311, 11813, 11, 902, 374, 1101, 459, 4228, 3388, 315, 13, 21460, 3938, 21934, 1109, 1884, 430, 16681, 304, 1579, 70666, 3564, 9698, 13, 4452, 11, 9298, 264, 19369, 11, 220, 508, 1355, 11793, 4771, 6418, 7926, 5333, 636, 11937, 1022, 374, 1664, 5922, 279, 3430, 315, 26360, 11, 439, 29921, 13, 5742, 315, 21961, 499, 3207, 4461, 311, 1505, 2930, 520, 904, 2728, 4545, 11, 902, 374, 3629, 1664, 927, 220, 1049, 627, 12, 35802, 505, 1694, 459, 8056, 6730, 2816, 11, 814, 617, 1023, 6666, 25313, 370, 7278, 4519, 1093, 6900, 1445, 9313, 323, 264, 400, 845, 11, 931, 15438, 8515, 14130, 627, 12, 3296, 6730, 5424, 7214, 449, 264, 14994, 311, 279, 52604, 11, 499, 4070, 279, 1828, 7757, 15798, 627, 12, 1472, 649, 2680, 220, 1041, 15, 82, 315, 6730, 23628, 304, 220, 1544, 6989, 389, 420, 3566, 2816, 627, 12, 6914, 757, 1304, 433, 2867, 11, 523, 2693, 71629, 374, 539, 264, 3564, 2816, 11, 420, 1436, 387, 264, 3974, 1877, 6730, 2816, 627, 12, 4452, 11, 422, 499, 5268, 701, 6730, 3828, 311, 387, 459, 24473, 73283, 11, 499, 4805, 617, 279, 5845, 311, 1684, 872, 3974, 5039, 449, 1023, 6444, 389, 279, 39825, 627, 12, 921, 2693, 71629, 706, 264, 28681, 79861, 4668, 11, 902, 374, 10437, 422, 499, 1541, 1431, 1205, 311, 2586, 4028, 264, 29827, 8844, 4737, 832, 709, 279, 1089, 627, 33, 95024, 34, 4214, 374, 264, 1695, 10778, 422, 499, 1390, 311, 990, 369, 6848, 304, 264, 1949, 3118, 449, 1633, 1579, 15613, 13, 1102, 21935, 704, 279, 1888, 1034, 315, 13254, 311, 279, 893, 818, 36444, 315, 904, 6730, 2816, 2930, 520, 3118, 13, 1102, 11383, 706, 6555, 87313, 505, 279, 4211, 889, 1005, 433, 13, 4427, 6730, 6732, 3412, 439, 1790, 439, 220, 2031, 12, 2075, 4, 315, 701, 24608, 369, 5694, 11, 7438, 499, 636, 311, 10519, 21742, 264, 19983, 315, 1148, 499, 7380, 13, 1630, 6644, 374, 12207, 2731, 11, 449, 279, 2816, 21742, 4737, 220, 914, 12, 1135, 13689, 779, 499, 690, 636, 2033, 477, 24657, 279, 1935, 25389, 71188, 4669, 1630, 6644, 13, 1442, 499, 527, 264, 27041, 893, 818, 36444, 3411, 311, 1518, 902, 6730, 6732, 527, 1888, 311, 990, 369, 11, 10936, 7833, 311, 279, 15182, 315, 1888, 6730, 6732, 311, 990, 369, 3770, 627, 791, 220, 1032, 10, 7252, 22919, 8215, 33038, 5046, 220, 2366, 17, 198, 791, 35693, 2373, 706, 264, 88620, 3582, 1389, 433, 7194, 5066, 11, 1524, 994, 499, 3207, 2736, 17045, 304, 264, 4443, 3118, 13, 578, 40252, 538, 649, 387, 264, 2766, 11292, 311, 7124, 11, 2533, 433, 753, 779, 7353, 13, 3639, 2643, 387, 264, 40252, 311, 1063, 374, 5128, 5410, 311, 3885, 13, 1789, 16168, 279, 1455, 961, 11, 304, 12976, 311, 8191, 3564, 11, 3871, 449, 6730, 6732, 11, 279, 4751, 40252, 3629, 3445, 2555, 430, 753, 264, 2766, 41296, 11, 40634, 11, 477, 2653, 311, 2778, 704, 13, 22938, 449, 420, 7419, 11, 584, 4070, 26126, 832, 315, 279, 1888, 40252, 6730, 6732, 15871, 3196, 389, 279, 4459, 4211, 1174, 14553, 315, 32421, 14, 68287, 1148, 499, 527, 3411, 369, 11, 323, 279, 4689, 2816, 4367, 627, 13246, 1455, 1023, 6730, 6732, 11, 499, 617, 311, 733, 2536, 57571, 6931, 1109, 9943, 10964, 701, 73836, 389, 3113, 4264, 13, 8215, 50, 14320, 6835, 499, 264, 14971, 5352, 6931, 1109, 499, 3810, 323, 50829, 279, 1646, 753, 4279, 10959, 311, 6106, 499, 3207, 3794, 264, 26518, 369, 701, 22786, 13, 3092, 11180, 34, 4214, 690, 1176, 1825, 264, 8821, 3321, 279, 2035, 499, 4805, 387, 11096, 555, 279, 6730, 17240, 499, 14896, 13, 578, 832, 4360, 358, 9615, 617, 449, 420, 374, 430, 433, 3250, 1431, 3604, 15820, 499, 3508, 477, 539, 279, 17240, 374, 304, 279, 3130, 11, 477, 422, 5606, 775, 374, 10307, 13, 763, 2015, 311, 1505, 704, 11, 499, 2011, 20684, 10356, 3131, 304, 264, 1418, 13, 1102, 753, 78014, 311, 1518, 824, 24401, 21913, 315, 400, 21, 22104, 23, 824, 9568, 369, 264, 2536, 57571, 6369, 13, 3277, 499, 1176, 52880, 11, 499, 649, 636, 832, 7895, 17510, 6807, 1949, 315, 6900, 11, 902, 4375, 704, 311, 264, 5922, 315, 13489, 400, 605, 627, 5519, 90250, 12522, 6834, 1952, 4314, 11406, 6834, 8519, 13149, 33038, 5380, 1687, 3371, 499, 279, 8206, 922, 682, 315, 279, 19108, 6730, 6369, 6732, 0, 358, 1097, 12756, 49424, 922, 1475, 315, 1884, 6730, 6732, 323, 1148, 358, 26611, 1701, 1855, 13, 358, 1524, 3371, 499, 1148, 358, 7318, 369, 6730, 1877, 50829, 520, 1855, 2816, 13, 2684, 374, 264, 2763, 5066, 2038, 584, 3085, 439, 1664, 430, 21742, 2307, 6439, 7619, 1122, 11704, 6444, 315, 20637, 2835, 6369, 6732, 1053, 1440, 323, 374, 17057, 323, 11497, 1314, 1618, 13, 23371, 11, 264, 1396, 315, 27041, 7724, 6369, 6732, 690, 3493, 264, 1486, 315, 1825, 323, 18768, 12862, 6822, 59384, 6369, 11, 4869, 1455, 315, 1884, 6732, 527, 15193, 13, 358, 3152, 433, 753, 2867, 311, 1455, 5127, 430, 3564, 6369, 6732, 527, 279, 6522, 1376, 315, 6822, 41308, 389, 8614, 627, 2028, 1646, 37938, 16180, 12512, 1633, 39418, 48374, 369, 701, 17069, 13, 9029, 2834, 1431, 11813, 499, 994, 499, 3041, 1475, 3245, 3201, 1949, 315, 6900, 13, 2684, 753, 264, 10151, 311, 3794, 1455, 10631, 505, 3932, 11, 902, 4131, 2949, 279, 67126, 323, 279, 1847, 13, 1628, 1566, 398, 994, 433, 4131, 311, 7241, 11, 264, 12472, 315, 1877, 23939, 690, 682, 279, 892, 7945, 449, 279, 2038, 13, 8215, 6732, 527, 11383, 586, 1389, 994, 499, 733, 3974, 11, 21739, 649, 3821, 627, 14809, 735, 4214, 78981, 13002, 23748, 1952, 26106, 7054, 17783, 33038, 198, 10713, 927, 279, 10228, 11, 323, 499, 4805, 1524, 1518, 279, 1646, 753, 11307, 13, 1115, 24897, 430, 872, 4211, 527, 682, 21685, 389, 358, 1029, 535, 13, 29524, 2231, 11, 350, 29652, 2445, 4214, 916, 374, 8104, 6319, 369, 34727, 59384, 13, 1666, 264, 842, 1121, 11, 499, 636, 264, 2466, 6727, 315, 34727, 19440, 2778, 3878, 11, 4528, 311, 11523, 13167, 11, 1380, 7636, 11, 1380, 21961, 11, 323, 779, 13544, 13, 1472, 1541, 1431, 636, 430, 3169, 315, 2778, 2968, 389, 264, 5066, 67217, 6730, 2816, 13, 35999, 9884, 374, 264, 1949, 2930, 4029, 1405, 701, 6444, 649, 3821, 11364, 95678, 282, 1003, 919, 2804, 3974, 11, 21416, 5039, 627, 20944, 20004, 24, 374, 264, 5066, 3293, 1877, 6730, 5452, 11, 4869, 814, 3207, 3815, 2294, 990, 13, 1442, 499, 3207, 7422, 922, 3974, 20572, 2523, 449, 38307, 27041, 60600, 11, 430, 374, 279, 7858, 369, 499, 13, 3053, 358, 7079, 264, 27041, 5452, 779, 430, 499, 5042, 649, 923, 311, 420, 1160, 30, 7839, 3974, 6730, 1877, 3997, 279, 2035, 499, 11000, 649, 6369, 449, 6366, 342, 1147, 323, 3821, 1124, 13619, 19557, 389, 701, 20705, 17069, 627, 24798, 386, 6897, 12037, 11, 282, 1003, 919, 649, 58191, 553, 279, 6763, 315, 872, 7528, 2262, 304, 5369, 311, 4662, 15193, 2680, 311, 872, 8571, 19665, 7241, 13, 1472, 1253, 1524, 4662, 48131, 3673, 555, 1648, 315, 420, 5452, 12435, 311, 57274, 11, 1877, 23939, 5636, 41455, 311, 1023, 3674, 3772, 12006, 13, 5034, 10880, 304, 220, 1049, 16, 11, 11406, 41, 300, 1083, 374, 4315, 279, 1455, 1664, 22015, 6730, 6732, 389, 279, 11841, 323, 374, 21682, 304, 279, 1948, 5899, 6822, 15771, 304, 279, 1917, 13, 1102, 374, 13240, 430, 2212, 220, 1758, 3610, 7931, 733, 311, 11406, 41, 300, 1083, 1475, 1938, 779, 1070, 753, 11510, 315, 43763, 323, 2294, 4754, 311, 7380, 6908, 627, 11180, 8215, 33038, 198, 18433, 315, 420, 11, 389, 1521, 3566, 6732, 11, 499, 4805, 7142, 7752, 505, 682, 2212, 279, 1917, 13, 2684, 527, 13305, 304, 1475, 5699, 3871, 449, 84653, 4483, 15872, 11, 16526, 274, 1056, 552, 11, 3778, 86721, 11, 11002, 597, 771, 12855, 11, 323, 7665, 503, 26246, 13, 1442, 499, 1205, 11, 499, 649, 1524, 733, 6730, 311, 6730, 323, 1501, 315, 701, 2547, 11, 2288, 13, 5659, 1148, 358, 4070, 6755, 11, 6730, 4211, 2216, 1093, 3815, 420, 449, 872, 52860, 13, 9359, 603, 311, 7079, 701, 19214, 3974, 3564, 59384, 11, 584, 527, 2133, 311, 1296, 323, 9762, 1124, 304, 1057, 15182, 627, 2028, 374, 264, 4029, 15753, 3566, 2816, 11, 902, 706, 927, 220, 1135, 11, 931, 3697, 11, 323, 264, 3544, 2835, 18624, 315, 12715, 24601, 13, 10541, 47904, 7665, 11, 14306, 39, 4519, 4211, 505, 682, 4883, 279, 1917, 11, 889, 527, 92381, 220, 1041, 4, 19077, 13, 578, 3445, 856, 25746, 762, 4214, 690, 636, 682, 1521, 3278, 311, 13519, 709, 374, 14470, 4228, 11, 814, 2343, 1124, 7191, 1109, 904, 1023, 2816, 13, 3277, 1274, 11813, 11, 856, 25746, 762, 4214, 5825, 279, 3278, 220, 1954, 13689, 430, 374, 1648, 810, 1109, 1063, 315, 279, 1023, 1888, 1877, 6730, 6732, 11, 13619, 6369, 1193, 5825, 220, 1399, 4, 369, 2937, 13, 1442, 1070, 574, 3596, 264, 659, 56009, 6730, 2816, 20790, 11, 10968, 389, 3339, 279, 1917, 264, 7191, 2035, 11, 3092, 11180, 34, 4214, 649, 387, 433, 13, 4427, 7155, 4519, 315, 279, 39825, 27830, 279, 3451, 25859, 529, 6904, 520, 279, 5190, 1314, 1450, 912, 564, 315, 279, 4264, 627, 9673, 1436, 387, 779, 4382, 439, 1694, 279, 41283, 10470, 31863, 477, 279, 5333, 1828, 6134, 11, 477, 814, 649, 387, 439, 37067, 439, 264, 39375, 311, 656, 3738, 14385, 430, 2204, 6730, 3278, 2834, 1431, 13, 12522, 32180, 449, 701, 1427, 323, 1514, 311, 701, 36486, 439, 264, 893, 818, 36444, 13, 16782, 11, 1541, 1431, 11196, 422, 499, 3207, 539, 264, 14595, 3564, 6917, 2949, 279, 5084, 13096, 1389, 1274, 1093, 264, 2697, 2766, 315, 6727, 13, 7570, 422, 499, 2980, 701, 659, 14733, 477, 28360, 11, 4423, 374, 2133, 311, 1781, 499, 3207, 279, 1877, 13744, 6730, 893, 818, 36444, 13989, 13, 6104, 1694, 14560, 374, 832, 1749, 311, 743, 6261, 10980, 505, 279, 13734, 11, 433, 753, 539, 4460, 311, 387, 6992, 13, 9176, 315, 279, 1948, 6730, 3278, 11352, 2450, 2085, 3815, 4205, 814, 1051, 29213, 449, 627, 14809, 6109, 11860, 94790, 916, 374, 264, 6721, 1877, 6730, 3477, 2816, 430, 5764, 279, 30689, 304, 3974, 6822, 41308, 13, 5751, 16945, 374, 430, 649, 7945, 499, 7142, 704, 902, 527, 279, 1455, 7524, 27041, 6732, 11, 323, 430, 527, 11, 10489, 11, 4827, 1109, 48317, 13, 1442, 499, 4070, 12263, 1057, 2816, 304, 279, 3347, 11, 499, 3619, 430, 1057, 9131, 2001, 311, 7068, 279, 1455, 7524, 1877, 6730, 56181, 56395, 279, 1917, 706, 3596, 3970, 2001, 374, 26762, 13, 578, 4128, 1203, 315, 35999, 9884, 374, 430, 279, 26792, 4029, 25283, 311, 1518, 14090, 1949, 5039, 323, 311, 2343, 4211, 4669, 18726, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 73889, 535, 28082, 45377, 7640, 323, 5070, 73889, 535, 28082, 45377, 7640, 323, 5070, 198, 73889, 535, 6725, 374, 264, 8915, 1920, 430, 75762, 10334, 449, 3851, 28592, 77847, 3252, 279, 13225, 1990, 6721, 6677, 323, 279, 18651, 315, 1972, 31184, 6725, 320, 25763, 3817, 942, 2637, 8888, 3817, 942, 11, 393, 14466, 5364, 66, 2149, 39138, 612, 735, 82965, 59611, 11, 1880, 453, 2637, 1049, 17, 570, 1666, 1778, 11, 52828, 6725, 374, 6646, 4315, 279, 1455, 26455, 12917, 323, 6975, 13531, 1385, 369, 11469, 10723, 2890, 28456, 2512, 627, 95767, 1180, 439, 17028, 3046, 323, 12936, 42391, 315, 5575, 659, 44107, 1191, 20034, 520, 10209, 2512, 430, 374, 40806, 11, 36486, 6108, 323, 13654, 36185, 13, 42904, 1288, 16988, 304, 1054, 21656, 3871, 863, 5603, 304, 902, 814, 22815, 16988, 449, 4236, 304, 279, 1920, 315, 9200, 22599, 323, 7422, 922, 17226, 14830, 15082, 13, 763, 904, 1162, 11, 50794, 11125, 311, 1862, 323, 12192, 279, 6725, 315, 13654, 36185, 10723, 2890, 2512, 1288, 320, 44, 35472, 11, 82188, 11, 29477, 1251, 11, 23778, 1386, 648, 11, 50899, 11, 612, 102287, 540, 11, 220, 1049, 24, 997, 12, 4324, 264, 6220, 323, 57042, 6975, 4676, 627, 12, 5867, 51480, 553, 31308, 323, 72283, 15696, 315, 2512, 627, 12, 328, 13048, 30022, 4315, 13324, 627, 12, 5273, 22599, 323, 659, 66104, 2136, 627, 12, 96914, 5361, 39555, 627, 73889, 535, 6725, 1253, 12446, 304, 3927, 323, 1912, 20447, 26, 439, 1664, 439, 304, 4477, 11, 1555, 21416, 20954, 477, 1023, 3445, 13, 2684, 527, 5361, 15174, 369, 22599, 430, 649, 7945, 28456, 4236, 311, 2274, 279, 82780, 6677, 11, 7512, 323, 58266, 627, 16992, 311, 1862, 52828, 6725, 198, 791, 2768, 20414, 323, 7526, 1253, 387, 1511, 311, 1862, 4236, 311, 16988, 304, 14529, 9200, 22599, 627, 44594, 287, 13, 8876, 279, 4216, 1474, 307, 220, 2550, 15, 82, 11, 29198, 6873, 706, 43603, 279, 23035, 315, 8486, 287, 439, 264, 1648, 311, 3351, 279, 10334, 315, 6677, 24279, 315, 5575, 37465, 304, 4642, 6725, 13, 2057, 430, 842, 11, 5575, 37465, 617, 1027, 4691, 311, 8881, 389, 872, 6725, 304, 2015, 311, 1304, 279, 7902, 1990, 10334, 323, 6725, 323, 2274, 9200, 7422, 7512, 320, 36, 604, 11, 220, 1049, 23, 705, 439, 1664, 439, 311, 2274, 264, 6721, 9764, 320, 2059, 70579, 11, 735, 395, 1543, 612, 1443, 73253, 11, 220, 1049, 21, 570, 7089, 16483, 617, 1511, 8486, 287, 311, 18885, 33766, 535, 6725, 627, 21365, 8486, 287, 11, 439, 264, 1376, 315, 52828, 10368, 11, 11705, 264, 6220, 3634, 369, 4236, 311, 41440, 24564, 15082, 11, 2980, 32887, 39555, 323, 11704, 10923, 369, 4726, 20616, 320, 33, 3023, 11, 423, 2637, 6706, 65036, 11, 432, 2637, 612, 23074, 11, 423, 13, 220, 3753, 20, 26, 82324, 11, 445, 2637, 220, 679, 18, 26, 8444, 10033, 11, 622, 13, 469, 2637, 220, 1049, 16, 570, 3161, 279, 7319, 1645, 35594, 315, 2890, 2512, 3432, 11, 37465, 449, 1579, 2237, 315, 6677, 323, 9200, 3851, 315, 420, 6677, 304, 279, 6439, 315, 6978, 374, 1401, 11, 323, 8486, 287, 374, 3463, 315, 439, 832, 1648, 311, 11322, 420, 16945, 627, 8538, 12283, 4284, 8486, 287, 374, 264, 9687, 10151, 430, 12302, 449, 28887, 315, 4455, 323, 7366, 311, 810, 17151, 5848, 28887, 922, 872, 39555, 323, 6492, 315, 4455, 320, 52, 90605, 11, 26184, 612, 350, 55148, 69, 942, 11, 220, 1049, 16, 570, 1115, 76057, 2277, 10151, 374, 3629, 3970, 439, 264, 30022, 11, 3582, 1521, 1890, 12283, 18046, 369, 279, 24629, 3560, 430, 2204, 5990, 315, 8486, 287, 1514, 304, 28456, 6725, 627, 791, 20392, 315, 12917, 22291, 304, 279, 3477, 315, 5575, 42780, 11335, 264, 1401, 3560, 304, 279, 50925, 315, 5575, 3463, 13, 56619, 1778, 439, 328, 38341, 320, 42641, 8, 34685, 323, 63851, 1101, 1253, 387, 4445, 555, 279, 2410, 41264, 1990, 279, 5575, 7061, 323, 22291, 70910, 13, 63135, 315, 1268, 420, 11335, 704, 304, 5575, 42780, 374, 1401, 11, 369, 1054, 906, 439, 50794, 1205, 311, 15763, 279, 7434, 315, 5575, 14, 24247, 4441, 49148, 323, 279, 2410, 18479, 304, 279, 1847, 863, 320, 39, 59422, 11, 220, 1049, 23, 4390, 2520, 810, 2038, 11, 1518, 16607, 323, 65814, 469, 627, 48567, 26432, 13, 21579, 26432, 12192, 36870, 22599, 304, 459, 21416, 11827, 323, 21736, 1912, 10430, 430, 6276, 13324, 311, 41440, 8881, 389, 12659, 11, 12192, 6650, 323, 2349, 11, 3493, 264, 6220, 11, 26921, 323, 66388, 3634, 1405, 4236, 649, 7899, 10742, 11, 8881, 389, 872, 6725, 11, 323, 51696, 449, 18105, 311, 4048, 323, 3139, 320, 31820, 46, 11, 220, 679, 21, 68, 4390, 31988, 11821, 13, 46247, 11821, 374, 279, 1005, 315, 15664, 14282, 7819, 311, 2187, 369, 11821, 315, 14830, 11704, 11, 48513, 315, 12410, 323, 14830, 33811, 11, 8405, 5575, 1862, 323, 3674, 2065, 323, 7319, 51360, 11, 39242, 11, 12014, 323, 659, 91980, 320, 31820, 46, 11, 220, 679, 21, 68, 4390, 63507, 311, 1862, 659, 44107, 1191, 13, 26545, 4669, 1495, 1984, 11, 2930, 8486, 287, 11, 323, 14624, 311, 2890, 41206, 7493, 4669, 55346, 311, 7068, 63851, 649, 387, 1511, 439, 18699, 15174, 311, 12192, 21976, 323, 22599, 13, 46353, 16627, 7620, 1288, 6106, 430, 26613, 892, 11, 5070, 323, 10708, 320, 72, 1770, 2637, 892, 11, 6220, 3634, 11, 9966, 323, 27285, 2930, 25907, 8, 527, 3984, 311, 2187, 4236, 311, 4430, 323, 6725, 659, 22599, 320, 31820, 46, 11, 220, 679, 21, 68, 570, 1789, 810, 2038, 11, 1518, 16607, 304, 420, 3857, 627, 6777, 12092, 323, 21579, 44382, 198, 791, 2768, 527, 12917, 323, 6975, 7640, 430, 649, 387, 20011, 304, 279, 24978, 311, 4726, 1862, 37465, 304, 279, 18052, 315, 10334, 11, 16565, 323, 1888, 12659, 5552, 311, 52828, 6725, 627, 12, 11988, 9200, 63851, 389, 6725, 198, 12, 11988, 3560, 1514, 323, 538, 10430, 198, 12, 43807, 1920, 14975, 323, 6492, 320, 4151, 65814, 426, 11, 356, 11, 423, 340, 12, 44220, 320, 20885, 1534, 6978, 8, 320, 4151, 11360, 220, 22, 13, 17, 340, 12, 445, 2270, 3016, 3217, 6801, 5285, 3217, 320, 4151, 65814, 473, 340, 12, 35698, 535, 4477, 323, 8486, 287, 320, 4151, 65814, 469, 570, 35698, 535, 6725, 1555, 5439, 42780, 11, 10430, 5315, 477, 1023, 3445, 1253, 1101, 387, 1511, 311, 25670, 323, 2686, 279, 14604, 990, 315, 37465, 323, 279, 16033, 35104, 430, 37465, 323, 28456, 4236, 13123, 304, 872, 14830, 6725, 198, 12, 6075, 311, 2835, 6801, 9672, 15398, 477, 14830, 26350, 512, 12, 3639, 527, 499, 9298, 323, 11011, 30, 2650, 1053, 499, 7664, 279, 1732, 6801, 5285, 30, 3639, 527, 872, 36486, 30, 3459, 6468, 701, 15813, 1701, 36486, 6108, 11, 1732, 38043, 4221, 13, 3639, 656, 499, 1440, 30, 3639, 1541, 1431, 499, 1440, 30, 3639, 656, 499, 1205, 311, 1440, 304, 2015, 311, 29198, 13750, 304, 420, 6671, 30, 3639, 649, 499, 656, 30, 3639, 649, 1431, 499, 656, 30, 3639, 10723, 2890, 14, 93221, 4819, 649, 499, 10765, 30, 3639, 39455, 2643, 499, 3085, 30, 3639, 9200, 4860, 1587, 420, 15398, 4933, 5380, 43, 686, 1215, 60463, 24271, 198, 791, 2768, 527, 3463, 10039, 85, 10979, 323, 23387, 64060, 4860, 430, 649, 387, 1511, 311, 4726, 20954, 449, 28456, 4236, 9002, 659, 12, 36013, 535, 6725, 13, 4314, 4860, 649, 387, 1511, 3060, 311, 51077, 10430, 11, 16988, 4236, 304, 9200, 7422, 477, 387, 17791, 311, 538, 32272, 323, 5255, 22599, 23783, 627, 12, 3639, 374, 701, 8830, 315, 13654, 42208, 10723, 2890, 2512, 30, 32937, 82, 6108, 2512, 30, 7508, 6801, 5285, 21911, 1171, 2512, 30, 3639, 527, 701, 21463, 11, 6848, 323, 11704, 9002, 10723, 2890, 30, 38895, 17563, 5380, 12, 3639, 13189, 315, 10723, 2890, 14, 93221, 17563, 527, 499, 1455, 8173, 304, 323, 3249, 5380, 12, 3639, 527, 701, 10742, 37359, 24719, 811, 5380, 12, 3639, 3230, 11774, 527, 499, 13176, 304, 701, 28456, 7978, 323, 6725, 5380, 12, 3639, 527, 701, 36486, 5380, 12, 3639, 5789, 315, 6725, 656, 499, 2733, 1455, 16913, 304, 30, 91616, 16913, 5380, 12, 3639, 527, 701, 6975, 3966, 323, 9021, 5380, 12, 3639, 1053, 387, 1455, 11190, 311, 499, 520, 420, 892, 18480, 420, 6671, 5380, 83463, 323, 10323, 44107, 1191, 198, 791, 2768, 7526, 649, 387, 1511, 311, 15806, 4236, 304, 872, 8830, 323, 3851, 315, 659, 36013, 535, 6725, 627, 12, 18042, 1295, 659, 19812, 323, 9200, 22599, 555, 2737, 264, 5575, 659, 5773, 24756, 8739, 627, 12, 30379, 264, 52828, 6725, 3777, 304, 35359, 1413, 75533, 323, 56181, 26, 602, 1770, 2637, 2686, 3851, 311, 6725, 19579, 7649, 938, 668, 320, 10759, 269, 2065, 3196, 389, 54515, 8, 6677, 29017, 449, 1920, 14975, 16720, 11, 14847, 311, 14830, 26350, 323, 9071, 4860, 627, 45338, 3488, 25, 8886, 499, 41440, 38936, 701, 6299, 323, 11704, 67141, 311, 21953, 264, 502, 8830, 315, 279, 6671, 11, 323, 11469, 832, 753, 6725, 323, 14830, 6677, 5380, 12, 36639, 96336, 529, 10229, 315, 21193, 320, 31820, 46, 570, 320, 679, 21, 570, 28082, 11930, 304, 46353, 13, 14974, 11, 6328, 25, 36639, 96336, 529, 10229, 315, 21193, 627, 12, 36639, 96336, 529, 10229, 315, 21193, 320, 31820, 46, 570, 320, 679, 20, 570, 7508, 482, 323, 12517, 12, 5838, 1171, 10852, 13, 14974, 11, 6328, 25, 36639, 96336, 529, 10229, 315, 21193, 627, 12, 1838, 4008, 2301, 32497, 5983, 320, 679, 21, 570, 38895, 6401, 9849, 315, 7008, 13, 320, 1049, 24, 570, 41493, 569, 13654, 323, 1664, 33851, 25, 362, 12914, 369, 264, 38895, 6401, 28845, 369, 7008, 13, 38975, 11, 14469, 25, 7030, 627, 12, 6401, 1398, 69597, 13, 1115, 3997, 706, 27470, 2835, 323, 7855, 27203, 315, 3016, 84610, 323, 39555, 315, 17563, 323, 2890, 2512, 11704, 627, 12, 20661, 11, 435, 13, 386, 2637, 612, 32780, 11, 386, 13, 320, 1049, 17, 570, 362, 48006, 1646, 315, 2890, 323, 28456, 13, 10139, 315, 12517, 46353, 11, 220, 23, 7, 17, 705, 220, 4161, 12, 8878, 198, 12, 2052, 1751, 11, 393, 2637, 612, 44146, 14308, 11, 445, 13, 320, 1049, 17, 570, 34039, 287, 3987, 369, 13654, 505, 264, 8013, 13356, 25, 362, 3477, 315, 17649, 13, 12152, 10139, 315, 12332, 38895, 6401, 11, 220, 1691, 7, 18, 705, 220, 1032, 12, 1644, 627, 12, 21353, 11, 468, 13, 362, 13, 320, 2550, 18, 570, 35011, 505, 10723, 17563, 25, 578, 51346, 11376, 315, 279, 10723, 2890, 2532, 1887, 304, 279, 220, 2550, 15, 82, 13, 17680, 437, 2772, 81318, 8486, 11, 220, 845, 7, 19, 705, 220, 806, 627, 12, 426, 3023, 11, 423, 2637, 6706, 65036, 11, 432, 2637, 612, 23074, 11, 423, 13, 320, 3753, 20, 570, 43976, 25, 72633, 3217, 1139, 6975, 13, 7295, 25, 735, 30636, 5874, 627, 12, 82324, 11, 445, 13, 320, 679, 18, 570, 578, 12939, 315, 52828, 6725, 304, 28456, 13, 7327, 10139, 315, 356, 3329, 23199, 11, 220, 21, 7, 18, 705, 220, 16874, 627, 12, 3341, 818, 78829, 11, 435, 13, 362, 13, 320, 679, 18, 570, 1221, 7096, 287, 16033, 35104, 304, 28456, 25, 49183, 37465, 439, 16033, 13307, 13, 10315, 9265, 62224, 458, 9008, 409, 2998, 809, 76, 15003, 13, 220, 2287, 320, 8491, 1680, 1644, 12, 23, 627, 12, 3234, 2194, 11, 95884, 774, 5340, 376, 875, 612, 8909, 73872, 11, 356, 13, 320, 1049, 22, 570, 6649, 1697, 6725, 323, 28456, 30255, 91958, 304, 46353, 10170, 11, 220, 966, 7, 18, 705, 220, 5926, 4235, 10866, 627, 12, 435, 425, 7881, 11, 358, 2637, 612, 49720, 2715, 942, 11, 356, 13, 320, 1049, 19, 570, 43976, 11, 279, 1648, 311, 6721, 4500, 30, 10139, 315, 33135, 46353, 11, 220, 1032, 11, 220, 13460, 12, 11209, 627, 12, 53517, 261, 12, 2782, 4102, 11, 735, 2637, 44312, 11, 432, 13, 386, 2637, 14659, 458, 11, 468, 2637, 43316, 27782, 11, 622, 13, 362, 2637, 11586, 20554, 936, 11, 435, 2637, 612, 6984, 11, 362, 13, 320, 1049, 21, 570, 35698, 535, 12917, 12659, 25, 459, 5603, 311, 12917, 10758, 7512, 304, 264, 2678, 4449, 6376, 13, 42170, 19152, 11, 220, 5932, 7, 22, 705, 220, 24495, 12, 21975, 627, 12, 26952, 11, 622, 2637, 7553, 273, 347, 11, 362, 2637, 612, 30960, 11, 735, 13, 320, 1049, 24, 570, 43976, 323, 52828, 6725, 304, 2890, 69792, 6873, 25, 264, 37538, 3477, 11, 220, 975, 7, 19, 705, 220, 22754, 12, 22488, 627 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 26509, 1543, 61027, 29140, 469, 15202, 3700, 12037, 315, 400, 19, 13, 2839, 369, 220, 1049, 17, 323, 400, 15, 13, 3264, 369, 279, 36174, 35494, 198, 89703, 8502, 4272, 24608, 1051, 400, 17786, 3610, 13, 469, 15202, 824, 80703, 4430, 1051, 400, 15, 13, 3264, 7863, 311, 400, 15, 13, 6365, 369, 279, 1890, 220, 1049, 16, 8502, 323, 400, 16, 13, 410, 369, 279, 4948, 8502, 315, 220, 1049, 17, 13, 25992, 1534, 471, 389, 5578, 50401, 41777, 6, 25452, 320, 16, 8, 574, 220, 975, 13, 19, 4, 323, 9974, 1534, 471, 389, 5578, 41777, 6, 25452, 574, 220, 605, 13, 22, 4, 369, 279, 11999, 8502, 627, 81596, 8184, 53300, 198, 12, 48428, 61027, 35363, 1202, 11692, 2361, 304, 3728, 18970, 388, 323, 63948, 11, 23862, 1176, 304, 7376, 323, 8308, 14463, 13, 578, 7626, 26160, 389, 8254, 315, 279, 5899, 7928, 12789, 8308, 304, 220, 1049, 17, 13, 320, 17, 340, 12, 578, 7626, 574, 279, 6522, 1234, 18688, 315, 3728, 586, 5708, 33935, 304, 220, 1049, 17, 323, 21682, 2132, 304, 3728, 2926, 586, 33935, 13127, 17, 340, 12, 20755, 33620, 11, 29553, 323, 79280, 1385, 320, 37, 88302, 8, 8066, 3335, 4272, 30466, 315, 400, 19, 13, 2618, 7239, 627, 12, 23429, 9744, 17427, 3335, 4272, 30466, 315, 400, 16, 13, 2397, 7239, 13, 41738, 1234, 6373, 1051, 400, 19746, 7239, 11, 449, 4272, 9513, 4704, 4336, 315, 400, 24, 7239, 2391, 279, 1060, 627, 95963, 3135, 369, 279, 1060, 8881, 279, 11774, 315, 279, 4676, 11, 814, 1101, 20461, 1057, 5845, 311, 9203, 304, 5107, 11987, 323, 10519, 20900, 26434, 1359, 1071, 18063, 386, 13, 7043, 942, 11, 16014, 2637, 27390, 323, 14681, 18362, 20148, 13, 330, 23274, 8469, 11, 1057, 12410, 304, 279, 8333, 315, 1057, 19562, 323, 304, 48428, 61027, 6, 1317, 9860, 27949, 8625, 1579, 11, 719, 584, 3136, 311, 387, 46878, 304, 1057, 3221, 9860, 51165, 10246, 7099, 30466, 304, 33350, 50599, 1051, 400, 17, 13, 6069, 7239, 369, 279, 1060, 7863, 311, 400, 18, 13, 5833, 7239, 304, 220, 1049, 16, 627, 7099, 30466, 304, 17961, 45013, 25983, 220, 1591, 4, 505, 279, 4972, 1060, 311, 400, 16, 13, 1135, 7239, 11, 42852, 264, 220, 2491, 4, 18174, 304, 5064, 25480, 8308, 18970, 388, 323, 63948, 13, 320, 18, 8, 9558, 30466, 304, 279, 7626, 596, 9636, 26372, 2626, 19284, 220, 914, 4, 311, 400, 16, 13, 1644, 7239, 11, 15871, 42852, 264, 220, 1114, 4, 18174, 304, 5064, 25480, 2926, 586, 33935, 323, 264, 220, 22, 4, 18174, 304, 5064, 25480, 2860, 25452, 1234, 26372, 8286, 11, 320, 18, 8, 439, 1664, 439, 4827, 4272, 30466, 505, 11897, 1234, 26372, 627, 791, 14278, 304, 33350, 50599, 4272, 30466, 574, 15871, 4245, 311, 4827, 5990, 315, 5820, 4028, 682, 26593, 11, 8104, 17320, 11, 3772, 323, 16924, 11, 5933, 5070, 11, 1579, 5557, 323, 18985, 13, 578, 7626, 596, 9341, 23641, 71822, 7319, 10284, 2391, 279, 11999, 8502, 719, 574, 12207, 4827, 1109, 520, 279, 842, 315, 220, 1049, 16, 627, 7099, 30466, 304, 33350, 50599, 1051, 400, 21123, 3610, 11, 7863, 311, 400, 25314, 3610, 369, 279, 11999, 8502, 315, 220, 1049, 16, 323, 400, 23181, 3610, 369, 279, 4948, 8502, 315, 220, 1049, 17, 627, 7099, 30466, 304, 17961, 45013, 1051, 400, 15531, 3610, 11, 7863, 311, 400, 19162, 3610, 369, 279, 11999, 8502, 315, 220, 1049, 16, 11, 42852, 12207, 11293, 5064, 25480, 5820, 304, 18970, 388, 323, 63948, 13, 9558, 30466, 304, 279, 7626, 596, 9636, 26372, 2626, 1051, 400, 10697, 3610, 7863, 311, 400, 17763, 3610, 369, 279, 1890, 220, 1049, 16, 4261, 11, 15871, 42852, 4827, 25452, 67599, 5820, 627, 97261, 323, 37409, 77990, 198, 7099, 30466, 304, 32704, 323, 37409, 77990, 1051, 400, 20, 13, 914, 7239, 369, 279, 1060, 11, 7863, 311, 400, 21, 13, 1758, 7239, 304, 220, 1049, 16, 627, 37, 88302, 4272, 30466, 315, 400, 19, 13, 2618, 7239, 7319, 220, 605, 4, 7863, 311, 220, 1049, 16, 11, 42852, 3831, 24601, 304, 279, 7626, 596, 36702, 11, 61998, 11, 8521, 8070, 43645, 11, 323, 9341, 41327, 6807, 9873, 11, 26310, 4445, 555, 25983, 4272, 30466, 304, 51967, 323, 28605, 3359, 17452, 627, 7099, 30466, 304, 11964, 1385, 1051, 400, 16, 13, 1721, 7239, 7863, 311, 400, 17, 13, 6083, 7239, 369, 220, 1049, 16, 11, 15871, 42852, 4827, 4272, 30466, 304, 279, 7626, 596, 3728, 13551, 9873, 11, 902, 1051, 11754, 555, 279, 8738, 23948, 304, 279, 25452, 11987, 11, 279, 8481, 315, 279, 39322, 74307, 11307, 6108, 2626, 1139, 1219, 5287, 320, 19, 8, 323, 279, 8389, 2515, 315, 264, 3254, 2565, 6696, 304, 279, 1176, 8502, 315, 220, 1049, 17, 13, 763, 5369, 11, 4272, 30466, 304, 25452, 43645, 323, 25452, 17114, 48468, 1051, 4827, 1109, 279, 4972, 1060, 627, 32871, 77990, 12715, 8389, 4272, 30466, 315, 400, 14378, 3610, 15871, 4245, 311, 58054, 304, 279, 907, 315, 3738, 22538, 304, 279, 1579, 5557, 323, 62866, 26593, 11, 26310, 4445, 555, 1972, 12675, 323, 4907, 10706, 46096, 20192, 627, 2170, 315, 6841, 220, 1682, 11, 220, 1049, 17, 11, 279, 24069, 15691, 907, 315, 279, 7626, 596, 12717, 22538, 5762, 6089, 477, 1555, 279, 7626, 596, 30338, 23641, 10736, 574, 400, 16, 13, 2495, 7239, 11, 31706, 315, 13166, 12717, 22538, 315, 400, 16, 13, 2371, 7239, 323, 1972, 12675, 12717, 22538, 315, 400, 23800, 3610, 627, 7099, 30466, 304, 32704, 323, 37409, 77990, 1051, 400, 19146, 3610, 369, 279, 11999, 8502, 11, 220, 1691, 4, 3770, 279, 11999, 8502, 315, 220, 1049, 16, 323, 220, 1958, 4, 3770, 279, 4948, 8502, 315, 220, 1049, 17, 627, 37, 88302, 4272, 30466, 1051, 400, 24531, 3610, 7863, 311, 400, 26013, 3610, 369, 279, 11999, 8502, 315, 220, 1049, 16, 11, 42852, 4827, 4272, 30466, 304, 51967, 11, 8521, 8070, 43645, 323, 3728, 3300, 11987, 11, 26310, 4445, 555, 3831, 24601, 304, 279, 7626, 596, 36702, 323, 9341, 41327, 6807, 9873, 627, 7099, 30466, 304, 11964, 1385, 1051, 400, 7854, 3610, 7863, 311, 400, 19305, 3610, 369, 279, 11999, 8502, 315, 220, 1049, 16, 11, 15871, 42852, 4827, 4272, 30466, 304, 279, 7626, 596, 3728, 13551, 9873, 11, 304, 961, 4245, 311, 279, 8481, 315, 279, 39322, 74307, 11307, 6108, 2626, 1139, 1219, 5287, 320, 19, 705, 439, 1664, 439, 4827, 4272, 30466, 304, 25452, 43645, 11, 26310, 4445, 555, 5190, 4272, 30466, 304, 25452, 17114, 48468, 627, 32871, 77990, 12715, 8389, 4272, 30466, 315, 400, 22, 3610, 11, 15871, 4245, 311, 58054, 304, 279, 907, 315, 3738, 879, 22538, 11, 26310, 4445, 555, 1972, 12675, 46096, 20192, 627, 17015, 9744, 323, 46272, 8471, 198, 7099, 30466, 304, 23429, 9744, 323, 46272, 8471, 1051, 400, 20, 13, 5925, 7239, 369, 279, 1060, 11, 220, 20, 4, 5190, 1109, 220, 1049, 16, 627, 17015, 9744, 4272, 30466, 315, 400, 16, 13, 2397, 7239, 7319, 220, 717, 4, 7863, 311, 1566, 1060, 11, 15871, 42852, 459, 220, 23, 4, 5376, 304, 5578, 12032, 1234, 6373, 323, 7319, 36210, 8070, 13, 41738, 1234, 6373, 1051, 400, 19746, 7239, 520, 279, 842, 315, 220, 1049, 17, 11, 16168, 10269, 7863, 311, 279, 842, 315, 220, 1049, 16, 13, 8152, 94189, 315, 400, 717, 7239, 11, 15871, 304, 25452, 12032, 11, 574, 26310, 4445, 555, 4272, 9513, 4704, 4336, 315, 400, 24, 7239, 11, 15871, 304, 8521, 8070, 323, 25452, 12032, 627, 8596, 38333, 8471, 4272, 30466, 1051, 400, 25643, 3610, 7863, 311, 400, 16, 13, 1032, 7239, 369, 220, 1049, 16, 11, 15871, 42852, 4827, 4272, 30466, 304, 279, 7626, 596, 4850, 40651, 2626, 323, 8521, 8070, 18545, 2363, 627, 1110, 5287, 1051, 400, 18, 13, 1544, 7239, 11, 709, 220, 23, 4, 7863, 311, 220, 1049, 16, 11, 15871, 4245, 311, 7319, 4272, 30466, 304, 279, 7626, 596, 13551, 9873, 11, 304, 961, 4245, 311, 279, 8481, 315, 279, 39322, 74307, 11307, 6108, 2626, 1139, 1219, 5287, 11, 26310, 4445, 555, 4827, 30338, 23641, 36555, 320, 72, 1770, 2637, 459, 7319, 4430, 315, 264, 3887, 596, 8070, 323, 20192, 994, 279, 471, 389, 279, 3887, 596, 22538, 36375, 3738, 12447, 4780, 8, 323, 11293, 33850, 12718, 627, 7099, 30466, 304, 23429, 9744, 323, 46272, 8471, 1051, 400, 16, 13, 1987, 7239, 11, 16168, 35957, 7863, 311, 279, 11999, 8502, 315, 220, 1049, 16, 323, 220, 24, 4, 4827, 1109, 279, 4948, 8502, 315, 220, 1049, 17, 627, 17015, 9744, 4272, 30466, 315, 400, 20062, 3610, 7319, 220, 20, 4, 7863, 311, 1566, 1060, 596, 11999, 8502, 11, 15871, 4245, 311, 5190, 6373, 12718, 323, 7319, 36210, 8070, 13, 12220, 279, 8502, 11, 12032, 1234, 6373, 7319, 220, 19, 4, 42852, 400, 605, 7239, 304, 4272, 9513, 4704, 4336, 11, 15871, 304, 3300, 3157, 323, 25452, 12032, 11, 323, 400, 17, 7239, 304, 3157, 35996, 627, 8596, 38333, 8471, 4272, 30466, 1051, 400, 14205, 3610, 7863, 311, 400, 10914, 3610, 369, 279, 11999, 8502, 315, 220, 1049, 16, 11, 15871, 42852, 4827, 4272, 30466, 304, 279, 7626, 596, 8521, 8070, 18545, 2363, 323, 4850, 40651, 2626, 3034, 5287, 1051, 400, 25560, 3610, 7863, 311, 400, 24626, 3610, 369, 279, 1890, 4261, 1566, 1060, 11, 42852, 5190, 25452, 54764, 11, 304, 961, 4245, 311, 279, 8481, 315, 279, 39322, 74307, 11307, 6108, 2626, 1139, 1219, 5287, 11, 26310, 4445, 555, 4827, 30338, 23641, 36555, 627, 59247, 18512, 1051, 400, 605, 13, 5958, 7239, 369, 220, 1049, 17, 11, 220, 806, 4, 3770, 220, 1049, 16, 627, 13864, 42725, 323, 7720, 315, 400, 21, 13, 5728, 7239, 25983, 220, 717, 4, 7863, 311, 279, 4972, 1060, 11, 1081, 729, 62259, 449, 4827, 4272, 13254, 5990, 13, 578, 11595, 315, 20448, 323, 7720, 311, 4272, 30466, 369, 20323, 1060, 220, 1049, 17, 574, 220, 2166, 4, 7863, 311, 220, 2491, 4, 369, 20323, 220, 1049, 16, 13, 41952, 5990, 25983, 220, 1032, 4, 505, 6841, 220, 1049, 16, 627, 8284, 63250, 42725, 14228, 18512, 1051, 400, 18, 13, 2031, 7239, 369, 220, 1049, 17, 11, 220, 21, 4, 3770, 220, 1049, 16, 13, 1398, 11150, 93364, 2065, 315, 82746, 323, 1023, 528, 61186, 12032, 11, 1521, 18512, 25983, 220, 18, 4, 7863, 311, 1566, 1060, 42852, 4827, 3157, 4500, 323, 17320, 323, 5557, 7194, 11, 26310, 4445, 555, 5190, 66419, 18512, 13, 3383, 371, 2065, 315, 82746, 323, 1023, 528, 61186, 12032, 574, 4827, 1109, 304, 220, 1049, 16, 42852, 279, 25375, 315, 279, 82746, 2536, 33317, 371, 2065, 19705, 315, 22504, 315, 17961, 45344, 35653, 2360, 13, 220, 10239, 11, 330, 15571, 14724, 323, 7089, 1357, 61186, 41738, 10246, 791, 7524, 8070, 3827, 4478, 369, 220, 1049, 17, 574, 220, 1758, 13, 15, 13689, 1523, 505, 220, 1806, 13, 20, 4, 369, 220, 1049, 16, 13, 578, 18174, 304, 279, 7524, 8070, 3827, 4478, 439, 7863, 311, 220, 1049, 16, 574, 15871, 4245, 311, 264, 2349, 304, 279, 7626, 596, 46139, 24608, 6651, 11093, 449, 14529, 9045, 311, 5625, 3682, 10565, 72202, 2212, 279, 1917, 311, 13166, 1376, 11, 459, 5376, 304, 3827, 10397, 21643, 8070, 323, 459, 5376, 304, 13018, 3827, 20746, 627, 2170, 315, 6841, 220, 1682, 11, 220, 1049, 17, 11, 2860, 6864, 574, 400, 3226, 13, 6028, 7239, 11, 31706, 315, 400, 777, 13, 410, 7239, 304, 41777, 6, 25452, 323, 400, 1987, 13, 6028, 7239, 304, 1317, 9860, 11897, 13, 6017, 907, 824, 4430, 574, 400, 1987, 13, 3076, 11, 3196, 389, 4279, 13551, 19310, 11, 2737, 22486, 5708, 8316, 11938, 311, 8420, 449, 912, 3938, 2532, 8670, 11, 315, 220, 21824, 13, 17, 3610, 520, 4261, 842, 8231, 6841, 220, 508, 11, 220, 1049, 17, 11, 279, 8925, 315, 46085, 315, 578, 48428, 61027, 5856, 11, 4953, 13, 320, 1820, 8925, 8, 19144, 279, 2109, 13173, 315, 459, 5217, 220, 868, 3610, 13551, 315, 4279, 5708, 33549, 311, 279, 7626, 596, 6484, 4430, 2109, 13173, 2068, 13, 578, 7626, 2109, 73350, 220, 777, 13, 19, 3610, 13551, 315, 1202, 4279, 5708, 2391, 220, 1049, 17, 11, 2737, 220, 21, 13, 19, 3610, 13551, 304, 279, 11999, 8502, 13, 578, 9861, 4430, 24645, 1234, 279, 2109, 13173, 2068, 11, 2737, 279, 13945, 12, 19626, 3392, 11, 374, 220, 777, 13, 18, 3610, 13551, 627, 61116, 16, 45046, 51, 61186, 41777, 6, 25452, 11, 902, 64468, 82746, 323, 1023, 528, 61186, 12032, 11, 11105, 279, 25452, 27167, 304, 279, 9873, 315, 48428, 61027, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 644, 279, 28929, 315, 279, 386, 4881, 198, 18820, 9052, 14502, 8393, 198, 644, 279, 28929, 315, 279, 386, 4881, 25, 25117, 82, 505, 279, 22010, 20005, 3907, 5277, 11348, 11, 81154, 988, 1403, 35901, 5199, 4455, 304, 11904, 3778, 1989, 3925, 11, 279, 220, 2031, 339, 22310, 315, 279, 18488, 315, 279, 4526, 323, 279, 220, 1399, 339, 1060, 22310, 315, 279, 92588, 315, 67251, 12404, 81, 1386, 753, 74473, 11, 578, 5277, 315, 279, 57147, 13, 578, 8286, 374, 19685, 555, 64787, 23880, 69783, 3258, 323, 29808, 356, 620, 372, 320, 85917, 20005, 3907, 11, 220, 679, 17, 4390, 791, 1989, 4526, 69944, 1202, 14209, 311, 279, 11904, 3778, 19071, 87490, 11, 67251, 12404, 81, 1386, 13, 20005, 3907, 323, 22010, 9304, 1051, 8821, 14673, 1243, 11, 54477, 1139, 22010, 20005, 3907, 1193, 304, 220, 3753, 23, 13, 2468, 279, 29788, 315, 3842, 18231, 11, 20005, 3907, 596, 1176, 11904, 3778, 4872, 11, 12404, 81, 1386, 11096, 20005, 3907, 304, 220, 7285, 16, 311, 1212, 459, 1989, 9476, 13, 35403, 7214, 11, 568, 11223, 832, 315, 279, 1455, 3062, 323, 32855, 1989, 28271, 430, 279, 1772, 29519, 372, 4987, 1053, 3217, 304, 279, 6617, 11639, 13, 12404, 81, 1386, 11223, 264, 2380, 27748, 647, 291, 12914, 311, 3493, 11904, 3778, 13820, 264, 22150, 311, 1501, 872, 990, 11, 3493, 1124, 449, 8515, 38508, 323, 4430, 872, 29409, 449, 279, 4029, 520, 3544, 13, 578, 38508, 1051, 36580, 369, 13820, 311, 2274, 872, 7512, 555, 17843, 9863, 369, 20005, 3907, 311, 7782, 627, 644, 279, 12531, 315, 220, 6393, 17, 11, 12404, 81, 1386, 5602, 813, 14050, 2586, 311, 94706, 13, 578, 1633, 1176, 68033, 315, 17646, 826, 11, 50385, 11, 323, 83797, 554, 555, 57147, 53204, 315, 5270, 9107, 13, 49669, 220, 966, 16422, 1142, 70864, 30638, 555, 20005, 3907, 1053, 387, 5762, 30171, 3156, 220, 4468, 15, 13, 4314, 70864, 1053, 3010, 387, 2663, 20005, 3907, 5277, 25992, 82, 13, 9062, 20162, 311, 279, 6650, 315, 279, 5277, 11348, 11, 449, 20005, 3907, 596, 24393, 315, 279, 1948, 38508, 315, 5707, 323, 3090, 3506, 36692, 11, 24370, 11, 323, 75973, 13, 763, 2860, 11, 279, 9974, 70864, 27528, 220, 17335, 9863, 369, 279, 6332, 4526, 13, 4418, 811, 505, 1989, 52860, 323, 63948, 617, 15042, 279, 5277, 11348, 311, 922, 220, 16, 11, 1049, 9863, 13, 578, 6156, 5357, 9731, 311, 387, 11904, 3778, 1989, 11, 719, 4375, 555, 1023, 13820, 315, 1933, 527, 1101, 5343, 627, 15527, 1639, 311, 19678, 279, 1176, 1989, 9974, 304, 220, 6393, 17, 11, 1708, 467, 83022, 11, 279, 864, 336, 14168, 18640, 11, 55475, 11, 323, 7216, 2025, 315, 279, 83852, 55383, 11, 9076, 279, 8736, 24208, 311, 1148, 1053, 3719, 279, 99589, 1567, 369, 3369, 385, 417, 36634, 315, 11904, 3778, 1989, 304, 279, 3723, 4273, 4994, 315, 1561, 4356, 4409, 13, 763, 813, 5224, 11, 83022, 73897, 279, 87435, 4754, 315, 279, 19071, 304, 279, 330, 26070, 1974, 1359, 902, 11, 439, 568, 19698, 11, 330, 14724, 4546, 9498, 6650, 323, 11984, 9257, 14098, 2029, 1628, 13118, 11, 279, 1989, 9974, 82, 19168, 311, 387, 5016, 304, 872, 9131, 13, 6104, 13820, 1093, 25537, 28574, 11, 889, 2834, 304, 220, 6393, 22, 369, 813, 34076, 19250, 380, 53161, 5707, 19354, 7199, 1974, 11, 1053, 9966, 264, 2035, 2949, 279, 44916, 315, 3778, 1989, 11, 3885, 1053, 617, 1193, 872, 22643, 12845, 439, 872, 20160, 13, 1556, 3187, 315, 420, 374, 279, 659, 2442, 64, 3948, 31676, 285, 10845, 21152, 589, 13, 5414, 29036, 11549, 26569, 5707, 19354, 11, 6914, 3296, 70, 3233, 2893, 3296, 70, 3233, 11, 2834, 304, 220, 5162, 19, 13, 578, 9974, 28099, 43603, 459, 77271, 20631, 9090, 11, 369, 2225, 16572, 13820, 323, 659, 2442, 64, 3948, 13820, 1436, 9502, 29409, 311, 387, 45487, 627, 3923, 13016, 690, 1505, 5505, 323, 1218, 4171, 17157, 304, 763, 279, 28929, 315, 279, 386, 4881, 374, 279, 23649, 323, 4661, 3221, 4686, 14843, 5247, 315, 279, 29409, 19426, 1555, 279, 1989, 9974, 82, 13, 578, 1933, 14843, 5247, 315, 279, 29409, 323, 279, 24442, 3649, 315, 279, 38508, 323, 279, 11725, 315, 21928, 3697, 690, 9504, 2225, 1989, 51801, 323, 11203, 1989, 9989, 81390, 27083, 13, 26560, 30450, 17057, 11, 279, 29409, 12716, 1139, 3177, 279, 7958, 535, 323, 3674, 7625, 648, 355, 315, 279, 13820, 323, 279, 11904, 3778, 4029, 304, 279, 3723, 4273, 2155, 3544, 13, 578, 2363, 1101, 5727, 6160, 67245, 315, 682, 279, 13820, 15609, 304, 279, 1989, 4526, 11, 439, 1664, 439, 5217, 14843, 5247, 315, 34468, 323, 19426, 9863, 13, 578, 2363, 5727, 95047, 3769, 439, 1664, 25, 25232, 11, 12197, 1990, 11904, 3778, 10255, 12036, 548, 2893, 8506, 323, 1243, 20005, 3907, 4872, 99257, 355, 53227, 9002, 279, 19739, 18525, 1968, 315, 279, 1989, 9974, 82, 11, 323, 14843, 5247, 315, 7554, 1989, 9863, 505, 279, 6332, 4526, 13, 763, 279, 28929, 315, 279, 386, 4881, 1101, 5764, 11236, 315, 220, 6393, 20, 323, 220, 6280, 16, 4212, 14756, 8544, 315, 279, 1989, 9974, 82, 13, 11995, 8544, 1028, 1430, 389, 45207, 22100, 11, 323, 19347, 315, 3230, 9863, 527, 73354, 3340, 449, 63692, 15433, 6848, 922, 7102, 304, 279, 60138, 529, 13865, 311, 1304, 5647, 315, 279, 56755, 1413, 7739, 304, 279, 29409, 13, 19173, 11, 279, 4212, 60138, 1193, 83933, 279, 7479, 627, 644, 279, 28929, 315, 279, 386, 4881, 45799, 279, 8987, 17413, 9277, 2403, 11904, 9053, 304, 279, 4987, 13, 23150, 11, 584, 1205, 1193, 311, 6227, 430, 1521, 1989, 9974, 82, 22763, 323, 20415, 3384, 2391, 264, 85677, 9373, 4261, 315, 3778, 3925, 13, 763, 279, 220, 6393, 15, 82, 323, 220, 6280, 15, 82, 11, 11904, 3778, 10977, 7559, 304, 1148, 83022, 304, 813, 54559, 8982, 2663, 1054, 1820, 4987, 1974, 863, 8738, 311, 387, 43643, 3359, 555, 11641, 27991, 19739, 17294, 4028, 682, 26593, 315, 16642, 8396, 13, 432, 33211, 64244, 574, 439, 78014, 439, 279, 7446, 9349, 323, 43215, 4633, 8982, 69177, 9017, 11904, 9053, 13, 4314, 27467, 36742, 50446, 315, 11904, 3778, 2324, 1051, 3629, 12979, 811, 369, 1690, 315, 279, 97549, 13, 1666, 64787, 69783, 3258, 8554, 315, 279, 6332, 1989, 4526, 25, 1054, 52025, 50615, 555, 56755, 1413, 2262, 11, 279, 46350, 22100, 527, 20167, 367, 11, 42775, 11, 3925, 11, 17779, 11, 13901, 11, 323, 2700, 969, 9464, 49216, 48900, 299, 25525, 320, 6280, 17, 8, 555, 3842, 12404, 654, 17882, 41255, 459, 6666, 311, 2700, 969, 9464, 323, 506, 29246, 279, 3674, 10182, 315, 279, 1938, 6957, 279, 10247, 13, 6385, 6548, 2019, 433, 682, 13, 3161, 279, 1212, 315, 4435, 5111, 8105, 323, 279, 20852, 315, 1690, 11904, 3778, 15201, 304, 279, 4208, 11, 433, 4131, 439, 912, 13051, 430, 36692, 1093, 3842, 12404, 654, 17882, 753, 5348, 53529, 320, 6393, 18, 8, 323, 4488, 60350, 1468, 753, 17326, 315, 279, 220, 18044, 339, 320, 77, 962, 6266, 20599, 279, 14604, 26936, 430, 4435, 5111, 8105, 69177, 389, 11904, 3778, 15201, 323, 872, 8689, 13, 11995, 4375, 2834, 38508, 520, 279, 70864, 13, 1666, 279, 8294, 7060, 1989, 1917, 8738, 311, 18890, 279, 48188, 315, 279, 8278, 7645, 380, 7351, 304, 279, 220, 6280, 15, 82, 11, 10255, 1093, 55357, 483, 14583, 620, 1409, 304, 578, 5348, 23844, 320, 77, 962, 6266, 323, 20643, 328, 13, 4584, 8991, 753, 53662, 311, 264, 44730, 320, 77, 962, 6266, 1053, 33508, 279, 4221, 323, 7739, 315, 8278, 7645, 2191, 304, 872, 990, 11, 719, 1053, 539, 312, 5096, 1376, 24923, 2262, 13, 26848, 11, 2225, 13820, 72903, 872, 36692, 449, 279, 6225, 13757, 323, 19567, 45445, 304, 279, 9090, 315, 11904, 3778, 7829, 439, 34997, 32629, 1550, 304, 872, 62644, 11026, 4972, 627, 791, 10383, 315, 279, 16803, 10734, 29098, 1101, 1766, 1202, 1648, 1139, 279, 1989, 9974, 82, 11, 11951, 304, 279, 1566, 1501, 304, 220, 4468, 15, 11, 994, 682, 315, 279, 3697, 315, 279, 96371, 315, 25117, 1051, 11904, 3778, 22416, 1176, 892, 323, 279, 1566, 13, 1102, 374, 5922, 27401, 430, 279, 11230, 439, 28111, 425, 51067, 304, 279, 220, 4468, 15, 28099, 574, 7957, 21324, 753, 578, 3778, 19198, 29646, 320, 5162, 24, 8, 430, 11, 304, 1202, 17832, 4633, 1648, 11, 7891, 2740, 6170, 389, 279, 10205, 315, 3776, 60533, 323, 8431, 3268, 11759, 315, 279, 220, 5162, 15, 82, 13, 578, 990, 4519, 2380, 18768, 95573, 16766, 11, 86045, 10215, 11, 323, 4018, 704, 9958, 682, 24937, 304, 3776, 11, 449, 279, 1193, 1933, 1694, 264, 15792, 45667, 315, 2579, 11, 4251, 11, 323, 6437, 627, 60978, 1147, 4740, 220, 1399, 23116, 198, 39, 1604, 12404, 81, 1386, 753, 74473, 11, 578, 5277, 315, 279, 57147, 11, 574, 39297, 520, 20005, 3907, 304, 220, 6280, 17, 13, 12404, 81, 1386, 46430, 7725, 1234, 24160, 74473, 380, 18842, 64210, 11, 323, 64210, 753, 10383, 649, 387, 31368, 30652, 304, 12404, 81, 1386, 753, 1866, 74473, 990, 13, 9086, 64210, 11, 12404, 81, 1386, 3629, 10968, 389, 13970, 323, 13042, 22100, 11, 29040, 29865, 12628, 315, 5054, 927, 92745, 13, 578, 12908, 304, 12404, 81, 1386, 753, 8309, 1147, 527, 97617, 19937, 449, 12678, 323, 6302, 11, 30164, 6485, 3686, 1608, 7922, 11904, 3778, 13970, 58378, 13, 1226, 1205, 1193, 1427, 520, 12404, 81, 1386, 753, 1455, 64747, 2380, 39552, 839, 3383, 380, 329, 15356, 1147, 11, 44224, 555, 42202, 329, 11437, 9304, 304, 220, 7285, 23, 11, 311, 636, 264, 5647, 315, 12404, 81, 1386, 753, 12034, 304, 14393, 19739, 97547, 1555, 279, 2219, 22155, 315, 56375, 4455, 323, 12678, 304, 11904, 3778, 3925, 627, 1687, 1101, 1518, 64210, 753, 10383, 304, 279, 5627, 430, 12404, 81, 1386, 15609, 279, 3823, 1376, 11, 459, 3187, 315, 42590, 44547, 9473, 430, 12404, 81, 1386, 1053, 15596, 1139, 311, 8356, 578, 5277, 315, 279, 57147, 74473, 2000, 20005, 3907, 13, 578, 6666, 311, 6928, 11904, 3778, 9302, 58378, 1053, 3719, 12404, 81, 1386, 753, 27409, 85339, 323, 1053, 8641, 1461, 304, 279, 5788, 315, 578, 5277, 315, 279, 57147, 369, 3113, 304, 279, 100016, 315, 279, 54651, 1676, 83824, 11896, 627, 644, 279, 28929, 315, 279, 386, 4881, 5764, 14843, 5247, 315, 12404, 81, 1386, 753, 7978, 369, 279, 8309, 1147, 439, 1664, 439, 279, 1620, 74473, 9863, 430, 527, 5131, 304, 279, 54651, 1676, 83824, 4857, 13, 7429, 5343, 304, 279, 2363, 374, 459, 70162, 9071, 555, 1989, 44068, 29808, 356, 620, 372, 430, 5825, 13970, 2317, 323, 9200, 40174, 315, 12404, 81, 1386, 753, 578, 5277, 315, 279, 57147, 7978, 323, 279, 1620, 74473, 1457, 389, 3113, 627, 791, 5277, 315, 279, 57147, 40405, 82, 12404, 81, 1386, 753, 4219, 287, 315, 11904, 320, 37576, 8, 13162, 323, 872, 12939, 311, 279, 8294, 19775, 315, 11104, 6677, 5788, 13, 578, 15671, 315, 279, 1855, 315, 279, 21988, 315, 279, 74473, 3493, 264, 19775, 15952, 369, 1202, 22511, 13, 578, 15671, 3351, 505, 17118, 24485, 11, 5783, 3455, 11, 52132, 49686, 311, 4366, 5164, 4835, 11, 88654, 2436, 11, 323, 386, 4881, 13, 5277, 13970, 32313, 315, 11104, 1989, 3629, 3240, 449, 20954, 315, 26457, 36692, 315, 16132, 936, 2249, 304, 9822, 13, 12404, 81, 1386, 11, 4869, 11, 312, 1710, 1439, 279, 26434, 315, 1989, 3925, 753, 6371, 3446, 555, 25012, 66738, 95563, 520, 1202, 4219, 304, 279, 7090, 17118, 24485, 13, 1283, 1101, 11105, 11904, 34453, 304, 11104, 4248, 67521, 2508, 439, 3970, 304, 5783, 3455, 439, 1664, 439, 11904, 34453, 304, 11104, 67323, 304, 279, 20697, 398, 25891, 7090, 88654, 2436, 627, 644, 279, 1794, 655, 7090, 52132, 49686, 11, 12404, 81, 1386, 1587, 539, 33394, 3201, 505, 60794, 279, 9349, 315, 37683, 2191, 26, 4856, 568, 19169, 279, 25984, 20124, 315, 37683, 2191, 1555, 19354, 279, 19814, 315, 11904, 6302, 13, 52132, 49686, 11, 810, 44029, 11, 21881, 311, 279, 94444, 37822, 315, 11904, 32692, 32006, 627, 644, 279, 1620, 7090, 11, 386, 4881, 11, 12404, 81, 1386, 665, 41115, 279, 1380, 44541, 950, 70800, 1990, 279, 11904, 10255, 520, 4219, 304, 813, 39678, 7515, 65, 323, 279, 13820, 315, 1933, 14932, 1461, 13, 9062, 315, 279, 12678, 430, 9172, 279, 8792, 7216, 706, 8272, 304, 279, 11904, 893, 753, 60802, 13, 578, 11904, 7216, 520, 4219, 374, 872, 39948, 13, 14968, 11, 279, 1023, 3026, 304, 279, 7090, 617, 1101, 3719, 3167, 288, 304, 872, 1866, 1314, 927, 279, 1667, 311, 279, 1690, 4236, 323 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 13721, 505, 20776, 2199, 512, 3624, 95407, 753, 220, 679, 20, 12, 845, 3280, 9107, 389, 6664, 220, 972, 339, 449, 264, 49277, 21497, 555, 279, 40505, 59129, 70184, 295, 520, 39956, 5234, 6150, 13, 763, 279, 8736, 42258, 743, 11, 1855, 4562, 11784, 1077, 7682, 318, 726, 449, 459, 32399, 28902, 13839, 13, 3011, 20536, 449, 264, 13826, 444, 818, 13, 11205, 33916, 10826, 12, 10343, 743, 15109, 4731, 315, 18157, 323, 4892, 323, 4987, 5270, 13, 4740, 279, 958, 2796, 11, 814, 15601, 74228, 5694, 439, 15992, 22910, 449, 810, 3293, 62644, 1778, 439, 18587, 328, 83403, 753, 11244, 304, 279, 2493, 43456, 323, 7043, 91493, 753, 5348, 23414, 627, 791, 89280, 921, 10020, 53204, 690, 2804, 520, 800, 13, 72068, 753, 9441, 11, 28263, 94469, 11, 520, 220, 18, 281, 749, 13, 7418, 11, 6841, 220, 23, 13, 1115, 374, 279, 264, 2107, 6985, 1912, 430, 98411, 15347, 13345, 21497, 3427, 388, 449, 1202, 5178, 3116, 1667, 4227, 26, 814, 690, 2804, 449, 279, 1890, 69665, 719, 264, 4459, 502, 2068, 25891, 1054, 32, 921, 10020, 58586, 4720, 11453, 4427, 38499, 690, 387, 24895, 555, 62740, 3842, 7043, 75897, 11, 459, 1628, 5420, 29036, 4731, 24687, 13, 1283, 690, 387, 83860, 304, 872, 11415, 6727, 11, 1054, 32, 8773, 290, 468, 4049, 33916, 4073, 863, 555, 42107, 13000, 13, 7089, 38499, 690, 387, 505, 872, 16781, 77768, 315, 312, 46302, 311, 6617, 11, 13318, 57673, 311, 37019, 11, 29924, 311, 55957, 311, 7091, 13, 578, 220, 717, 3697, 315, 89280, 921, 10020, 53204, 2997, 1690, 4731, 50794, 505, 6957, 279, 40505, 26, 814, 527, 15910, 555, 7639, 46211, 10333, 627, 2654, 2796, 311, 420, 21497, 374, 1555, 1443, 9451, 606, 6406, 12332, 47784, 10229, 16250, 477, 264, 400, 508, 3254, 26360, 520, 279, 6134, 13, 13266, 46227, 311, 7782, 264, 3280, 16250, 11, 902, 20682, 26360, 311, 279, 9861, 80399, 5158, 47679, 420, 12688, 323, 10683, 11, 1253, 656, 779, 369, 400, 966, 824, 1732, 11, 264, 13643, 14278, 13, 1666, 304, 279, 3347, 11, 2911, 527, 16584, 1949, 311, 47679, 994, 24895, 555, 459, 6822, 26, 9191, 4236, 527, 10788, 311, 9604, 7636, 439, 80399, 5158, 753, 15051, 627, 2028, 21497, 374, 26310, 24853, 555, 279, 40687, 9849, 389, 279, 17979, 323, 279, 5165, 4060, 76555, 369, 279, 17979, 627, 1688, 220, 22, 25, 410, 9012, 389, 7950, 11714, 11, 6841, 220, 777, 339, 11, 520, 28263, 94469, 19903, 5234, 6150, 19343, 11, 279, 28263, 94469, 5234, 6150, 36967, 17366, 323, 47784, 17366, 690, 5249, 264, 40343, 48551, 10255, 11, 4997, 6383, 8747, 11, 304, 75326, 82, 1697, 13, 28263, 94469, 6150, 11182, 17366, 10783, 23194, 98337, 323, 279, 4236, 617, 1027, 20646, 2533, 10683, 11, 3318, 449, 12483, 3984, 555, 4491, 13, 6383, 8747, 11, 6832, 1054, 1316, 2683, 863, 369, 220, 1544, 1667, 374, 449, 75174, 34937, 753, 3838, 7200, 13, 2435, 690, 48306, 2648, 304, 264, 11060, 3308, 3645, 304, 279, 13658, 13, 4491, 13, 6383, 8747, 706, 459, 16781, 4526, 315, 64108, 5237, 3233, 13, 2435, 2134, 304, 1404, 505, 264, 13987, 71304, 6713, 3394, 311, 264, 220, 21, 4579, 6155, 370, 395, 64108, 11, 323, 2997, 279, 19018, 323, 9024, 4635, 437, 710, 13, 1283, 690, 3113, 1063, 323, 2804, 389, 264, 2478, 2391, 420, 21497, 627, 11425, 82, 690, 2997, 69530, 63306, 11, 39843, 753, 507, 754, 68, 11, 578, 4968, 531, 1780, 11, 7505, 753, 33425, 11, 6193, 279, 47745, 11, 323, 1023, 4731, 11537, 311, 682, 17051, 627, 1542, 1113, 690, 387, 15871, 304, 279, 12704, 27618, 779, 4546, 701, 68241, 13, 2684, 690, 387, 912, 26360, 6900, 26, 420, 21497, 374, 80399, 5158, 753, 8352, 311, 279, 28263, 94469, 6150, 11182, 4731, 2068, 11, 1202, 22291, 323, 4236, 11, 323, 311, 279, 15347, 13345, 4029, 627, 8140, 220, 679, 20, 12, 845, 3280, 690, 3240, 389, 7418, 13658, 11, 220, 18, 25, 410, 9012, 11, 6664, 220, 972, 11, 220, 679, 20, 520, 39956, 5234, 6150, 449, 15992, 22910, 1389, 1608, 4680, 11, 68232, 11, 74988, 7091, 15144, 950, 42045, 41376, 295, 505, 89280, 11, 5737, 34997, 11, 2477, 11, 22636, 437, 323, 1023, 20023, 4731, 13, 578, 21497, 690, 387, 9107, 555, 872, 1695, 4885, 11, 279, 40505, 59129, 70184, 295, 11, 5737, 8776, 29924, 37138, 38499, 13, 11579, 26360, 690, 387, 400, 508, 45560, 495, 477, 7782, 701, 220, 679, 20, 12, 845, 3280, 43652, 369, 400, 1272, 45560, 495, 627, 644, 279, 6453, 2919, 1603, 220, 679, 19, 11, 15992, 22910, 574, 264, 1376, 1752, 3148, 11, 60206, 311, 387, 7263, 1139, 264, 810, 67749, 14209, 13, 578, 19277, 315, 3116, 7701, 23944, 11, 17235, 77361, 37138, 388, 3952, 279, 6211, 315, 264, 5790, 96337, 7200, 902, 374, 539, 3485, 39098, 505, 3117, 12556, 2234, 36744, 311, 1518, 1268, 3117, 814, 2643, 11722, 872, 42299, 6302, 1139, 279, 18273, 77563, 315, 28578, 814, 10160, 709, 13, 15992, 22910, 69908, 9575, 279, 67473, 292, 2134, 505, 2477, 323, 34997, 311, 259, 5281, 11, 69392, 11, 20023, 11, 323, 7953, 11, 682, 15107, 505, 4113, 62644, 323, 28904, 5016, 311, 279, 15992, 22910, 5548, 13, 2030, 814, 527, 539, 1120, 912, 15144, 17779, 62575, 889, 1514, 1022, 279, 6964, 315, 279, 2472, 4999, 10156, 2610, 872, 4885, 11, 279, 24955, 27877, 40505, 59129, 70184, 295, 13, 2435, 4070, 2751, 65671, 37284, 753, 42258, 11, 323, 814, 617, 264, 2294, 3318, 5133, 1389, 42174, 33, 48, 21300, 311, 1825, 369, 65671, 37284, 0, 578, 40505, 59129, 70184, 295, 27741, 1202, 77768, 14918, 505, 279, 29924, 14135, 11, 2737, 4113, 4731, 369, 37138, 439, 1664, 439, 5016, 28904, 6476, 304, 264, 7878, 323, 13548, 1648, 627, 85463, 3329, 439, 8810, 13820, 449, 279, 9935, 64, 9935, 64, 63306, 389, 6790, 220, 717, 339, 11, 220, 679, 18, 11, 10948, 10783, 40484, 582, 869, 31782, 1543, 16964, 279, 1912, 439, 1054, 38548, 481, 389, 682, 64490, 662, 662, 662, 3167, 2740, 11, 32654, 11, 17235, 27877, 323, 2523, 311, 51696, 449, 49216, 34371, 22910, 32629, 527, 25, 3420, 295, 1389, 12656, 44685, 323, 25871, 1856, 309, 6610, 11, 27206, 1389, 30750, 2522, 14746, 70, 1354, 3320, 372, 4150, 83, 11, 94467, 20337, 1389, 52179, 28263, 94469, 627, 34827, 220, 23, 11, 220, 679, 20, 11, 7418, 25, 89280, 921, 10020, 53204, 220, 18, 25, 410, 9012, 800, 72068, 753, 16879, 9441, 11, 28263, 94469, 13, 578, 10877, 574, 84461, 1534, 389, 6841, 220, 21, 11, 220, 679, 16, 11, 994, 279, 89280, 921, 10020, 53204, 10887, 520, 800, 13, 72068, 753, 13, 2435, 617, 1027, 15109, 389, 21304, 11450, 320, 898, 9063, 8, 323, 617, 264, 3682, 20632, 449, 279, 19326, 11060, 11070, 388, 11, 48551, 1063, 1667, 13, 2435, 527, 1054, 266, 2162, 863, 420, 1060, 323, 690, 4546, 603, 459, 682, 23065, 5178, 555, 459, 40126, 7154, 20086, 311, 430, 315, 220, 679, 16, 13, 1666, 1603, 11, 279, 38499, 690, 2134, 505, 312, 46302, 311, 6617, 11, 13318, 57673, 311, 37019, 11, 29924, 311, 55957, 311, 7091, 13, 21460, 279, 3823, 7899, 304, 16907, 13444, 13, 63446, 555, 80399, 5158, 43652, 477, 3927, 6822, 26360, 315, 400, 508, 520, 279, 6134, 26, 4236, 1949, 627, 34827, 220, 777, 11, 220, 679, 20, 11, 7950, 11, 220, 22, 25, 410, 9012, 11, 75326, 82, 1697, 11, 28263, 94469, 19903, 5234, 6150, 13, 578, 28263, 94469, 5234, 6150, 17366, 11, 1234, 279, 5216, 315, 23194, 98337, 11, 17366, 10783, 369, 279, 28263, 94469, 6150, 11182, 11, 690, 2804, 3235, 449, 4997, 6383, 8747, 11, 264, 40343, 2442, 414, 287, 39844, 11, 304, 75326, 82, 1697, 13, 20783, 6137, 20646, 304, 279, 10683, 369, 420, 11364, 20632, 430, 690, 387, 10666, 520, 220, 22, 25, 410, 9012, 11, 7950, 11714, 11, 6841, 220, 777, 11, 220, 679, 20, 11, 304, 279, 28263, 94469, 19903, 34514, 19343, 627, 12555, 13, 6383, 8747, 374, 264, 4562, 315, 17072, 6825, 4610, 74870, 11, 706, 264, 13839, 2068, 25891, 68027, 55608, 11, 323, 27772, 520, 16795, 11680, 994, 568, 374, 539, 48551, 13, 578, 21497, 690, 2997, 38480, 389, 1063, 315, 279, 28830, 64108, 5237, 3233, 304, 4491, 13, 6383, 8747, 753, 879, 4526, 13, 80399, 5158, 323, 28263, 94469, 5234, 6150, 527, 18949, 311, 3118, 264, 21497, 39039, 7922, 279, 24084, 9327, 315, 35271, 279, 45129, 323, 74013, 315, 459, 10534, 39844, 449, 279, 99316, 315, 3995, 32629, 627, 16366, 7364, 304, 10411, 40687, 690, 3240, 520, 60829, 69, 3394, 5234, 6150, 11, 30638, 555, 279, 12292, 13284, 12332, 47784, 10229, 26, 3351, 311, 800, 2947, 552, 5234, 6150, 11, 39061, 555, 800, 2947, 552, 10948, 34507, 388, 26, 1243, 2586, 311, 28263, 94469, 13, 578, 2768, 11714, 11, 568, 690, 3118, 813, 68027, 55608, 2068, 520, 279, 11233, 4849, 38571, 304, 8847, 2837, 13, 80399, 5158, 6476, 264, 5199, 3560, 304, 66515, 1521, 10708, 627, 2028, 21497, 374, 80399, 5158, 753, 8352, 311, 279, 28263, 94469, 4236, 323, 311, 279, 15347, 13345, 26, 1070, 690, 387, 912, 26360, 6900, 627, 28623, 220, 1032, 11, 220, 679, 21, 11, 7418, 11, 220, 18, 25, 410, 9012, 11, 39956, 5234, 6150, 97957, 74485, 13, 47759, 380, 11517, 54755, 15385, 638, 323, 64682, 82162, 15385, 638, 690, 3118, 459, 13658, 315, 97957, 74485, 10948, 323, 30704, 449, 264, 6617, 69665, 323, 34453, 315, 29829, 31464, 520, 39956, 5234, 6150, 26667, 13, 220, 18, 25, 410, 9012, 389, 7418, 5587, 220, 1032, 11, 220, 679, 21, 13, 63446, 555, 80399, 5158, 43652, 477, 400, 508, 45560, 495, 520, 279, 6134, 627, 1163, 15578, 10948, 4158, 2223, 1389, 5587, 67248, 321, 220, 679, 21, 1389, 2696, 11, 4212, 11, 11004, 3686, 311, 387, 11075, 13, 1226, 1755, 311, 617, 220, 16, 477, 220, 17, 32629, 505, 279, 393, 10574, 343, 1105, 8050, 5114, 3041, 264, 1421, 2223, 30425, 5178, 902, 690, 387, 1825, 311, 279, 4029, 2085, 6900, 13, 1442, 3284, 11, 1070, 690, 1101, 387, 264, 2978, 9994, 23430, 13, 14299, 380, 16431, 269, 393, 10574, 343, 1105, 8050, 320, 29146, 220, 1114, 11, 220, 7028, 18, 1389, 6287, 220, 21, 11, 220, 4468, 21, 8, 17693, 11846, 304, 279, 21730, 323, 57314, 2410, 315, 29924, 4731, 13, 1283, 3131, 1071, 11, 1054, 25099, 3727, 2324, 2731, 13, 10948, 374, 264, 32961, 13, 1102, 374, 9257, 13, 1102, 374, 77361, 13, 1102, 374, 41792, 13, 1628, 433, 374, 369, 5127, 113068, 96601, 2442, 6165, 1389, 3389, 3297, 220, 679, 21, 1389, 2696, 11, 4212, 11, 11004, 3686, 311, 387, 11075, 13, 1226, 1755, 311, 617, 264, 220, 16, 21925, 18273, 27803, 1567, 14791, 369, 279, 4553, 3070, 11, 439, 459, 9070, 315, 39679, 3623, 12844, 294, 529, 2149, 1994, 753, 47210, 1139, 8853, 304, 735, 1944, 268, 2192, 323, 1443, 9451, 606, 93988, 13, 1115, 690, 387, 1825, 311, 279, 4029, 2085, 6900, 627, 13857, 7388, 220, 2366, 17, 2059, 9451, 606, 6406, 47784, 10229, 11, 2052, 10734, 15516, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 40, 6227, 994, 345, 40, 6227, 994, 358, 5675, 856, 4059, 198, 3947, 574, 2555, 779, 24729, 922, 430, 2035, 198, 13461, 701, 21958, 617, 459, 1722, 304, 779, 1790, 3634, 198, 3112, 994, 499, 3207, 704, 1070, 198, 24220, 11, 358, 574, 704, 315, 5916, 198, 4071, 433, 5828, 1431, 1606, 358, 3287, 1431, 1440, 3403, 198, 40, 1120, 7020, 2288, 1790, 198, 22186, 430, 1304, 757, 14599, 5380, 22186, 430, 1304, 757, 14599, 5380, 22186, 430, 1304, 757, 14599, 5380, 2746, 279, 14365, 315, 21063, 527, 35294, 291, 1475, 3245, 1053, 5101, 311, 893, 439, 433, 374, 11, 24746, 13, 1789, 893, 706, 8036, 5678, 709, 11, 12222, 568, 16008, 682, 2574, 60187, 529, 15376, 523, 15872, 315, 813, 76304, 49216, 3947, 1436, 387, 11510, 315, 8125, 832, 1253, 387, 8430, 1022, 1481, 5085, 11, 1524, 14243, 94241, 13, 2435, 1436, 29243, 311, 10173, 11, 19433, 11, 44219, 315, 279, 18340, 72546, 11, 30988, 11, 5623, 1005, 323, 779, 389, 13, 763, 904, 1162, 11, 1524, 304, 1521, 13422, 315, 3769, 5353, 11, 358, 1781, 439, 264, 8396, 584, 527, 31047, 10723, 17563, 75298, 13, 1666, 3117, 439, 3284, 22972, 733, 11, 1070, 527, 779, 1690, 27548, 311, 63747, 2398, 292, 5623, 24999, 11, 323, 358, 2834, 1431, 387, 2133, 1139, 1884, 1618, 13, 2030, 304, 420, 1772, 11, 358, 1120, 1390, 311, 1427, 27851, 520, 264, 8331, 430, 1690, 1648, 24470, 388, 1555, 52819, 13123, 323, 430, 374, 279, 8738, 323, 71867, 3451, 529, 626, 11750, 119747, 315, 10723, 17563, 627, 626, 11750, 13517, 8967, 311, 387, 50440, 389, 279, 6206, 449, 264, 4106, 11245, 11, 311, 387, 13160, 439, 45286, 4535, 477, 39633, 13, 2057, 387, 46935, 13, 1628, 430, 374, 1120, 1148, 584, 656, 994, 584, 8309, 66206, 922, 1884, 3451, 529, 14965, 527, 16066, 505, 872, 50581, 529, 20182, 578, 22256, 46337, 2136, 315, 20581, 315, 259, 1673, 311, 3885, 374, 279, 6996, 315, 1972, 8082, 430, 52819, 374, 439, 3345, 311, 603, 682, 439, 1057, 4851, 9567, 13, 578, 905, 16801, 304, 1558, 2910, 3225, 1389, 420, 41919, 3727, 603, 1529, 83856, 323, 48080, 13, 9393, 315, 279, 60381, 12673, 311, 10723, 17563, 11, 1274, 889, 11993, 505, 433, 1505, 433, 37554, 315, 682, 315, 1884, 889, 617, 3596, 1047, 1317, 9860, 17563, 311, 636, 990, 11, 1505, 264, 23222, 5133, 11, 323, 387, 40418, 5343, 13, 9865, 1109, 264, 8502, 315, 1274, 449, 10723, 653, 9336, 2136, 1505, 430, 814, 527, 33818, 37774, 12020, 13, 1628, 279, 3772, 3629, 374, 1391, 6154, 304, 20958, 264, 60381, 922, 10723, 17563, 1389, 99597, 1884, 889, 7831, 439, 16806, 477, 3987, 16117, 20285, 22361, 477, 17354, 16682, 323, 8552, 627, 3923, 279, 24354, 30, 1148, 279, 8957, 345, 644, 1148, 55564, 574, 26236, 8271, 5380, 3923, 279, 459, 46352, 30, 1148, 36075, 34477, 345, 35, 548, 1202, 25114, 259, 7805, 1206, 13671, 4999, 40, 617, 3970, 1274, 449, 272, 13111, 28004, 27037, 704, 505, 68616, 19672, 11, 39959, 9894, 46135, 11, 20781, 12691, 3403, 311, 11745, 279, 1890, 3805, 439, 872, 779, 19434, 62200, 76707, 323, 3451, 383, 56885, 24535, 358, 617, 3970, 3995, 1274, 304, 8952, 78251, 11, 1167, 263, 48259, 704, 315, 872, 4059, 389, 58076, 315, 26333, 6319, 11, 14132, 11, 311, 3451, 66, 554, 529, 1124, 13, 358, 617, 3970, 1274, 3139, 2362, 4920, 9168, 88, 6548, 11, 8340, 3201, 304, 872, 10977, 11, 28544, 323, 20428, 1142, 11, 8249, 660, 505, 872, 30883, 21063, 315, 264, 8903, 430, 3727, 279, 8857, 29213, 13, 1628, 1521, 527, 279, 14363, 1274, 30, 4314, 527, 279, 6305, 430, 279, 8857, 315, 279, 7187, 5992, 1523, 389, 30, 1628, 814, 527, 7111, 1523, 389, 1981, 576, 374, 47952, 17033, 11, 420, 8850, 315, 10723, 17563, 11, 439, 422, 433, 574, 89534, 11, 439, 422, 433, 574, 539, 832, 11745, 11, 832, 75237, 3201, 505, 779, 19434, 4725, 488, 13, 4314, 1274, 889, 1427, 1523, 389, 1884, 889, 617, 16654, 904, 1376, 315, 10723, 17563, 527, 18507, 1389, 5496, 304, 264, 1917, 1405, 814, 617, 80647, 5694, 430, 814, 527, 539, 439, 47281, 439, 279, 1023, 311, 3451, 529, 18310, 119747, 872, 779, 19434, 3451, 529, 76, 8843, 119747, 627, 13461, 279, 3492, 32359, 14744, 374, 28360, 11, 16898, 1711, 439, 433, 1587, 1063, 4443, 8060, 11, 1063, 3770, 5578, 2237, 315, 11478, 13, 1628, 1389, 4359, 1789, 21301, 0, 1389, 98147, 11, 1524, 11201, 0, 13266, 527, 279, 16806, 6305, 11, 279, 6305, 584, 1541, 1431, 1390, 5496, 304, 1057, 10977, 11, 279, 6305, 584, 1053, 539, 7095, 449, 1057, 2911, 13, 32359, 14744, 11, 264, 32403, 315, 279, 50581, 11, 477, 459, 19661, 418, 24064, 2077, 311, 3451, 529, 265, 2786, 119747, 1389, 264, 3044, 430, 520, 832, 892, 5602, 7118, 2396, 315, 3278, 11, 15871, 11, 1694, 45408, 311, 3451, 529, 16061, 24705, 529, 20182, 61336, 54119, 950, 323, 18247, 29150, 11, 994, 304, 2144, 1148, 574, 1455, 4461, 12765, 574, 264, 65935, 304, 279, 88909, 520, 279, 312, 69563, 6439, 814, 1051, 9770, 311, 3063, 13, 2209, 279, 6617, 11477, 42620, 315, 18710, 323, 18547, 539, 30293, 264, 65935, 315, 279, 13836, 2403, 279, 72498, 315, 7438, 304, 279, 1917, 5380, 22105, 584, 1051, 8967, 311, 387, 13365, 43686, 11, 41480, 3988, 11, 53087, 11, 4376, 13088, 26872, 11, 323, 279, 6305, 889, 527, 19524, 82, 2194, 863, 527, 279, 6305, 889, 23973, 433, 627, 8607, 315, 279, 1888, 20663, 584, 617, 3970, 389, 420, 11841, 617, 28214, 449, 47657, 17563, 13, 50432, 55093, 28254, 98147, 11, 422, 539, 2539, 389, 58533, 35047, 14336, 529, 497, 3556, 358, 574, 7636, 389, 264, 11879, 11, 358, 574, 15187, 31589, 555, 459, 98887, 287, 11376, 551, 358, 5602, 264, 76681, 18197, 18702, 682, 279, 18671, 323, 3428, 12, 6852, 12098, 1990, 279, 4892, 15379, 323, 279, 94000, 13, 3277, 433, 3782, 709, 311, 30221, 358, 5602, 430, 279, 24405, 14264, 5190, 323, 5190, 311, 6144, 1057, 3224, 55080, 5602, 279, 42727, 14071, 17301, 11, 279, 19596, 74535, 315, 36017, 11, 323, 279, 74995, 13162, 315, 653, 1868, 291, 9214, 13, 5112, 279, 4459, 9581, 6656, 311, 6680, 13, 1115, 11376, 36513, 922, 459, 6596, 13, 358, 574, 74252, 291, 323, 49394, 660, 323, 51975, 315, 856, 23948, 14639, 123956, 3513, 93622, 1047, 15748, 22743, 19823, 11, 439, 1550, 42592, 10425, 350, 18314, 942, 11, 328, 25100, 1263, 72634, 11, 35266, 98337, 11, 42608, 1666, 318, 869, 11, 97415, 28298, 11, 17177, 42608, 21324, 11, 323, 53603, 32269, 1900, 13, 45480, 574, 3629, 1370, 278, 1065, 291, 555, 22743, 19823, 11, 12153, 311, 2586, 709, 389, 9722, 1418, 389, 813, 64876, 311, 17210, 311, 279, 10334, 315, 15740, 627, 31224, 64607, 11, 47400, 69, 11, 452, 3251, 52541, 11, 59602, 267, 2303, 11, 6706, 1900, 11, 473, 26768, 3195, 11, 60091, 20661, 82695, 11, 13000, 480, 65036, 11, 1856, 589, 11, 8096, 89010, 11, 93999, 11, 85107, 385, 11, 37512, 9509, 11, 25385, 474, 323, 1690, 11, 1690, 810, 1389, 682, 357, 2661, 839, 449, 52819, 13, 73817, 0, 1102, 5084, 4661, 65868, 430, 304, 2015, 311, 387, 264, 11782, 35201, 499, 617, 311, 14993, 449, 1063, 1376, 315, 10723, 17563, 4999, 3112, 304, 279, 18330, 25946, 11, 52819, 706, 3629, 1027, 264, 71261, 323, 5844, 857, 3904, 311, 50217, 42445, 82, 11, 323, 5419, 453, 25055, 13, 2876, 2744, 11, 315, 3388, 11, 6463, 374, 1475, 52819, 264, 1879, 315, 18330, 42445, 323, 1790, 315, 433, 3966, 810, 69782, 1373, 4345, 479, 315, 279, 19433, 497, 8248, 90578, 791, 559, 13005, 374, 279, 1732, 11, 8762, 477, 8954, 11, 889, 497, 4752, 459, 22798, 24064, 3217, 430, 10800, 1461, 12756, 63018, 13, 1102, 753, 264, 3169, 315, 51281, 292, 17944, 5352, 13, 578, 4459, 40711, 16264, 709, 11, 323, 279, 559, 13005, 17503, 1139, 433, 14639, 123956, 16772, 974, 764, 30524, 1389, 578, 7572, 315, 47595, 340, 38684, 279, 3823, 7102, 83417, 11, 3938, 3026, 690, 11, 358, 15562, 11, 1427, 1203, 389, 1057, 82315, 16746, 439, 264, 2807, 15729, 13381, 315, 54796, 1981, 2435, 690, 1518, 430, 1148, 574, 6646, 3451, 21740, 46412, 292, 529, 574, 832, 315, 279, 7739, 304, 902, 11, 3629, 1555, 5115, 19664, 1274, 11, 279, 3177, 6137, 311, 1464, 1139, 1057, 682, 94679, 1824, 9443, 20663, 49216, 9023, 39092, 5034, 287, 627, 17818, 374, 1120, 23444, 311, 5363, 279, 4751, 3451, 82, 26989, 529, 439, 47031, 539, 311, 279, 30883, 63355, 719, 311, 279, 864, 92109, 14546, 17743, 11, 11509, 439, 433, 1587, 304, 1205, 315, 28254, 312, 24844, 13, 763, 420, 1162, 11, 279, 43901, 1920, 31965, 304, 279, 30883, 94241, 9417, 1253, 387, 6646, 7138, 753, 1648, 315, 6376, 2574, 1314, 49216, 2345, 2999, 13, 3842, 1226, 404, 31421, 198, 2118, 82617, 311, 15508, 1603, 1057, 892, 527, 3629, 41998, 11, 5423, 555, 1884, 889, 3021, 603, 1455, 13, 9393, 814, 11, 16458, 1124, 11, 527, 33173, 13, 2435, 1781, 5606, 889, 62667, 709, 11, 477, 889, 11, 2103, 33173, 11, 52694, 430, 1148, 374, 4529, 311, 387, 1972, 374, 264, 3451, 57291, 529, 374, 2133, 14599, 49216, 3112, 3249, 656, 779, 1690, 449, 20663, 23854, 7069, 555, 779, 19434, 52819, 4510, 814, 527, 279, 81441, 30, 21829, 420, 13336, 497, 1820, 4339, 315, 7043, 68290, 11, 73074, 47841, 11, 889, 1511, 311, 1450, 704, 8260, 7563, 449, 3451, 529, 1820, 81441, 119747, 5439, 389, 1124, 304, 813, 2254, 6424, 90578, 1820, 3245, 374, 311, 1120, 1486, 704, 584, 527, 3786, 1824, 11687, 287, 3697, 315, 279, 24811, 5621, 2786, 1234, 264, 22498, 13141, 323, 961, 315, 75149, 4661, 2744, 18065, 1063, 3460, 315, 37374, 25544, 13, 1102, 753, 5995, 311, 1464, 704, 315, 430, 78552, 13127, 26368, 68290, 340, 2181, 1587, 539, 3152, 499, 19524, 548, 863, 279, 81441, 1389, 1120, 430, 1063, 961, 315, 499, 374, 15061, 279, 35121, 1174, 323, 7344, 3782, 389, 264, 2766, 2288, 3831, 90578, 4071, 1935, 18449, 3001, 1226, 527, 539, 7636, 11, 477, 16682, 11, 477, 3958, 11, 477, 76554, 315, 60381, 1389, 52819, 374, 121367, 4501, 4322, 481, 11, 994, 279, 12786, 2295, 291, 5596, 315, 279, 88909, 527, 76267, 48272, 1139, 264, 421, 17648, 434, 11, 994, 279, 13836, 374, 31503, 627, 863, 40, 5602, 279, 1888, 20663, 315, 856, 9659, 14763, 555, 52819, 11, 78501, 54119, 950, 19557, 345, 35031, 3252, 5694, 1555, 279, 62833, 14708, 520, 39493, 3411, 369, 459, 19021, 5155, 345, 17729, 63600, 18638, 12855, 20252, 369, 279, 14154, 67698, 3717, 311, 279, 6917, 894, 18003, 78, 304, 279, 26953, 315, 3814, 345, 14965, 19542, 323, 259, 10385, 323, 42902, 53613, 323, 1579, 7731, 709, 20149, 304, 279, 50058, 27394, 315, 9439, 55051, 61457, 19596, 4028, 279, 33522, 315, 9919, 79342, 34997, 345, 14965, 293, 1636, 872, 35202, 311, 32450, 1234, 279, 4072, 323, 5602, 46392, 276, 46968, 55944, 389, 5899, 1133, 77395, 75648, 345, 14965, 5946, 1555, 23978, 449, 77443, 7155, 6548, 59123, 16252, 32790, 323, 31994, 18179, 31926, 4315, 279, 31839, 315, 4208, 345, 14965, 1051, 67331, 505, 279, 10623, 11288, 369, 14599, 612, 23763, 84109, 297, 5919, 389, 279, 11276, 315, 279, 35113, 345, 14965, 272, 80313, 304, 653, 939, 5389, 12295, 304, 55244, 11, 20252, 872, 3300, 304, 41421, 3141, 49240, 323, 14624, 311, 279, 38256, 1555, 279, 7147, 345, 44, 337, 5059, 889, 10862, 856, 13836, 4216, 0, 33518, 5059, 304, 8884, 358, 1097, 264, 25917, 2085, 264, 2547, 0, 33518, 5059, 889, 60178, 757, 704, 315, 856, 5933, 93663, 0, 33518, 5059, 8884, 358, 15673, 0, 41674, 709, 304, 33518, 5059, 0, 8828, 4365, 12, 6892, 704, 315, 279, 13180, 4999, 44, 337, 5059, 0, 33518, 5059, 0, 26945, 32729, 0, 30547, 48013, 0, 30535, 4353, 300, 10612, 0, 18507, 94099, 0, 86224, 19647, 0, 57077, 17089, 0, 1558, 77972, 13088, 15316, 38390, 69540, 0, 76681, 33606, 4999, 7009, 14760, 872, 28678, 33510, 33518, 5059, 311, 32450, 0, 43856, 3808, 11, 12690, 11, 71169, 11, 20181, 0, 33510, 279, 3363, 311, 32450, 902, 6866, 323, 374, 17277, 922, 603, 4999, 3198, 919, 0, 8019, 729, 0, 59123, 12922, 0, 71912, 0, 12208, 267, 300, 552, 0, 8208, 1523, 279, 3778, 15140, 4999, 65454, 82, 0, 1008, 269, 811, 0, 44087, 811, 0, 44230, 0, 279, 4459, 15688, 1096, 315, 16614, 52401, 4999, 23340, 20322, 82, 0, 927, 279, 15140, 0, 86286, 323, 15131, 97422, 919, 0, 8208, 1523, 279, 18197, 4999, 12243 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 11180, 20994, 38269, 15883, 11934, 198, 13622, 1274, 1541, 1431, 1390, 311, 8343, 38269, 8314, 11934, 11, 1095, 7636, 31030, 1124, 13, 2030, 422, 499, 4070, 1047, 279, 6776, 311, 8343, 7878, 11, 24392, 2427, 4935, 8314, 11934, 1306, 264, 45834, 11, 499, 4805, 387, 264, 8571, 17223, 19762, 311, 4048, 1268, 311, 31030, 38269, 8314, 11934, 627, 11180, 20994, 38269, 8314, 11934, 7946, 8638, 449, 264, 2162, 62376, 477, 24392, 9408, 2027, 13, 8595, 30, 578, 6367, 311, 11364, 38269, 8314, 11934, 374, 45834, 13, 3277, 45834, 73091, 11012, 11, 814, 5625, 70181, 288, 311, 70913, 11, 902, 10437, 729, 8314, 11934, 13, 578, 1193, 1648, 311, 636, 1521, 8314, 11934, 374, 311, 3139, 701, 1866, 477, 636, 24392, 2427, 4935, 6305, 2345, 10924, 264, 45834, 13, 30260, 49313, 11028, 6118, 82316, 304, 7188, 477, 12550, 323, 9167, 1431, 10534, 279, 10437, 6147, 11204, 315, 45834, 13, 3011, 753, 3249, 38269, 8314, 11934, 3629, 12945, 10284, 26242, 627, 4054, 31123, 315, 38269, 8314, 11934, 36508, 17715, 832, 46746, 20268, 13, 5256, 279, 43318, 1920, 555, 28786, 8314, 11934, 13, 36931, 31300, 8314, 11934, 3629, 617, 28066, 315, 89111, 3447, 477, 1023, 41911, 8340, 24923, 279, 1176, 477, 2132, 16335, 16312, 6324, 13, 45446, 904, 59207, 71, 54213, 311, 4974, 8314, 11934, 555, 78446, 1124, 304, 264, 47205, 477, 12290, 6425, 13, 5560, 220, 16, 311, 220, 18, 56588, 315, 47205, 477, 12290, 824, 50680, 315, 3090, 13, 2100, 587, 8314, 11934, 369, 4376, 459, 6596, 11, 1243, 74341, 27461, 13, 11016, 2362, 477, 14071, 16335, 11141, 323, 11259, 23963, 627, 56753, 6031, 60803, 85620, 9307, 7826, 2509, 7357, 4212, 198, 29923, 311, 4774, 7878, 39151, 10826, 2427, 8506, 79276, 682, 1060, 1317, 30, 1102, 596, 264, 10885, 311, 31030, 420, 24722, 41947, 48438, 22235, 311, 1005, 304, 23935, 53031, 11, 19724, 323, 810, 13, 15281, 279, 1920, 369, 1268, 311, 31030, 79276, 304, 420, 4652, 555, 42287, 362, 13, 8290, 729, 627, 1959, 16005, 2106, 449, 356, 1791, 372, 1941, 5380, 34, 42012, 86529, 649, 387, 63100, 24190, 315, 279, 4353, 40412, 35359, 70841, 48438, 22235, 13, 4418, 956, 1781, 433, 596, 3284, 311, 31030, 75391, 372, 1941, 30, 8489, 11, 279, 6367, 15812, 304, 279, 18459, 13, 15281, 1268, 311, 31030, 75391, 372, 1941, 369, 7474, 2269, 2548, 21057, 304, 904, 3280, 627, 27247, 12522, 25619, 9176, 45805, 8529, 20798, 198, 8142, 20268, 41980, 41613, 527, 912, 5129, 5052, 311, 387, 1511, 304, 51249, 77852, 11, 499, 649, 20955, 1124, 449, 42393, 477, 1005, 304, 5945, 1725, 323, 61443, 13, 763, 420, 4652, 11, 42287, 362, 13, 8290, 729, 6209, 3892, 2294, 5829, 369, 20268, 41980, 41613, 323, 16964, 279, 1888, 1648, 311, 21813, 1124, 627, 11180, 3059, 41785, 613, 369, 9424, 1725, 323, 4497, 198, 8142, 499, 2834, 956, 1390, 311, 8854, 20268, 68798, 304, 7878, 77852, 11, 279, 11141, 690, 990, 29921, 304, 19724, 11, 45324, 2382, 645, 323, 23935, 53031, 13, 1472, 3358, 1120, 1390, 311, 31030, 3995, 11141, 13, 35106, 279, 9191, 477, 14071, 287, 11141, 439, 814, 3358, 8356, 264, 35507, 12945, 323, 23506, 88, 10651, 13, 18374, 6818, 3339, 20268, 68798, 55204, 30, 2175, 810, 10631, 389, 1268, 311, 31030, 68798, 304, 420, 4652, 389, 1268, 311, 31030, 68798, 627, 6854, 1472, 79692, 97842, 5380, 9642, 11, 499, 649, 31030, 63577, 13, 58846, 63577, 4375, 1664, 304, 11113, 552, 323, 58943, 1664, 1139, 934, 718, 288, 11, 14425, 377, 3419, 357, 28844, 323, 5945, 1725, 13, 7531, 810, 5829, 369, 20268, 63577, 323, 1268, 311, 1888, 21813, 420, 50123, 71004, 6307, 627, 19648, 4718, 1952, 919, 304, 279, 18682, 79692, 198, 32346, 1690, 45697, 311, 8343, 1314, 3201, 30, 2876, 264, 3575, 13, 2435, 31030, 6847, 11, 323, 649, 387, 1511, 304, 264, 8205, 315, 5627, 13, 15281, 1268, 311, 22033, 45697, 369, 6220, 5942, 304, 279, 5655, 31030, 11, 1268, 311, 2567, 279, 38427, 54097, 3428, 323, 994, 311, 1005, 20268, 45697, 304, 701, 26863, 627, 11180, 3059, 1666, 94789, 369, 8681, 66099, 198, 8142, 20268, 439, 94789, 2395, 1590, 2834, 956, 387, 439, 42954, 439, 13863, 2269, 2548, 44814, 11, 814, 649, 2103, 387, 1511, 304, 1690, 26863, 13, 5810, 527, 279, 7504, 311, 47995, 420, 50123, 1773, 1137, 36581, 323, 1063, 6848, 389, 1268, 311, 1005, 20268, 439, 94789, 311, 923, 17615, 311, 701, 21644, 627, 6854, 1472, 79692, 95825, 19197, 2396, 5380, 2675, 8659, 649, 31030, 31735, 13, 763, 2144, 11, 499, 649, 31030, 31735, 304, 1690, 5627, 13, 6104, 20268, 31735, 37856, 279, 95333, 10651, 315, 7878, 11, 279, 17615, 8625, 3831, 17223, 8659, 2834, 956, 617, 279, 11742, 12945, 430, 7170, 49156, 30695, 1171, 31735, 13, 15281, 3892, 5627, 311, 31030, 31735, 323, 1268, 311, 1005, 433, 311, 923, 17615, 311, 3691, 627, 4438, 3234, 1472, 79692, 42313, 21494, 5380, 36, 14736, 21494, 3250, 956, 2567, 1633, 1317, 11, 323, 499, 2834, 956, 387, 3025, 311, 649, 433, 2085, 71255, 4954, 433, 7953, 18324, 13, 2100, 11, 1268, 656, 499, 21813, 701, 18406, 19151, 21494, 30, 61328, 701, 649, 1215, 323, 4048, 1268, 311, 31030, 19151, 21494, 13, 5810, 527, 3892, 43318, 5528, 499, 649, 1456, 627, 39804, 264, 8279, 76, 70841, 40822, 2052, 9941, 198, 24762, 1268, 311, 31030, 14095, 323, 499, 3358, 387, 3025, 311, 4774, 420, 35359, 70841, 4322, 682, 1060, 80078, 449, 701, 13560, 45405, 13, 3658, 20994, 14095, 374, 4382, 11, 323, 433, 596, 264, 2294, 1648, 311, 19678, 6980, 311, 3691, 46643, 13, 15281, 279, 7504, 311, 43318, 14095, 304, 420, 4652, 555, 42287, 362, 13, 8290, 729, 627, 4438, 311, 79692, 38269, 15883, 11934, 198, 6971, 32964, 8314, 11934, 4546, 810, 1109, 12945, 311, 279, 2007, 13, 1115, 74873, 36271, 38119, 46192, 323, 374, 1579, 304, 13128, 11, 779, 499, 3358, 1390, 311, 1304, 701, 24392, 2427, 4935, 38269, 8314, 11934, 1566, 13, 15281, 279, 1403, 5627, 311, 31030, 38269, 8314, 11934, 323, 5627, 311, 2997, 420, 20268, 2307, 48438, 22235, 389, 701, 2007, 627, 35051, 311, 3658, 20994, 356, 57589, 198, 29923, 311, 4774, 279, 26677, 9076, 555, 74873, 682, 1060, 30, 1115, 7120, 2234, 12084, 315, 279, 48438, 15436, 13863, 39732, 2641, 1664, 311, 279, 43318, 1920, 13, 5256, 449, 29050, 11, 6573, 14971, 430, 2733, 4785, 88, 369, 872, 1404, 13, 15281, 810, 922, 279, 7504, 311, 43318, 74873, 304, 420, 4652, 505, 42287, 362, 13, 8290, 729, 627, 11180, 3059, 47643, 727, 369, 9424, 1725, 198, 88716, 727, 374, 10213, 3090, 11, 323, 279, 43318, 1920, 61053, 1439, 2849, 14620, 11, 13239, 304, 264, 83378, 11, 30823, 88, 2027, 13, 2030, 20268, 70121, 4375, 9765, 38662, 304, 45324, 2382, 645, 11, 91070, 11, 5708, 11, 323, 1023, 4106, 76639, 5247, 13, 1472, 649, 1101, 1005, 433, 439, 459, 82688, 449, 5945, 1725, 11, 2967, 17323, 369, 17677, 20228, 11, 477, 938, 12019, 11, 85151, 1306, 17677, 13, 15281, 279, 7504, 311, 43318, 70121, 304, 420, 4652, 627, 1959, 13787, 291, 389, 59205, 9949, 5380, 44, 1136, 9949, 2643, 1566, 922, 264, 2046, 304, 279, 46044, 11, 902, 2643, 539, 387, 3403, 892, 311, 4774, 279, 53523, 499, 1253, 617, 15042, 477, 369, 3359, 13, 21829, 43318, 48251, 13, 15281, 902, 1749, 315, 43318, 48251, 4375, 1888, 11, 323, 636, 1063, 6848, 369, 1268, 311, 1005, 1124, 304, 19141, 627, 10442, 8314, 11934, 555, 1404, 11, 50284, 1124, 439, 2678, 11, 11298, 11, 323, 3544, 13, 8595, 30, 9393, 1529, 3581, 287, 3115, 527, 3196, 389, 41963, 1404, 13, 92529, 2678, 8314, 11934, 220, 18, 4520, 11, 11298, 6305, 220, 19, 4520, 11, 323, 3544, 6305, 220, 20, 4520, 13, 5560, 264, 4179, 15589, 14351, 311, 6541, 8314, 11934, 6847, 1990, 50937, 323, 10054, 3090, 13, 35106, 72389, 1113, 279, 8314, 11934, 11, 902, 649, 17210, 311, 1772, 12862, 3059, 30823, 1918, 627, 6153, 1529, 3581, 287, 11, 3351, 38269, 8314, 11934, 1139, 279, 50685, 439, 19019, 439, 3284, 13, 17737, 43318, 36508, 264, 49973, 1964, 11, 2753, 30823, 88, 2027, 13, 1472, 617, 1403, 2671, 369, 43318, 25, 3927, 4062, 31030, 477, 6462, 43318, 627, 25310, 12862, 3059, 38269, 8314, 11934, 32399, 389, 264, 12829, 11071, 13, 1789, 26731, 43318, 11, 2035, 279, 11071, 3345, 311, 1405, 9439, 3805, 29933, 701, 50685, 13, 4740, 8314, 11934, 527, 20268, 11, 259, 1983, 1124, 1139, 50685, 18381, 304, 20155, 13, 11016, 439, 1790, 3805, 439, 3284, 505, 18381, 1603, 66934, 13, 37294, 8314, 11934, 555, 279, 23810, 439, 4460, 369, 17677, 627, 32, 2132, 3072, 374, 47237, 43318, 13, 763, 420, 1749, 11, 6462, 13788, 7321, 19885, 315, 38269, 8314, 11934, 304, 50685, 18381, 13, 24119, 4148, 439, 1790, 3805, 439, 3284, 369, 279, 49973, 6536, 2027, 13, 362, 29302, 513, 13412, 1887, 4375, 1664, 449, 38269, 8314, 11934, 13, 35106, 927, 96224, 18381, 13, 12361, 11, 2567, 8314, 11934, 304, 264, 3254, 6324, 369, 81610, 43318, 13, 11004, 18381, 1139, 279, 50685, 439, 10269, 398, 439, 3284, 3156, 8314, 11934, 527, 20268, 13, 87640, 11, 3854, 279, 18381, 1139, 701, 50685, 311, 35608, 3634, 1005, 627, 6971, 32964, 8314, 11934, 4546, 810, 1109, 17615, 311, 279, 2007, 13, 4314, 57863, 74873, 14971, 59227, 9572, 2269, 45850, 29600, 11, 3235, 449, 282, 7918, 13935, 323, 45774, 362, 13, 2435, 3207, 1101, 1579, 304, 13128, 11, 719, 1288, 387, 35526, 449, 4459, 41936, 311, 8854, 264, 4686, 13128, 430, 5727, 279, 4553, 20326, 315, 42500, 33969, 627, 2520, 1888, 4367, 11, 1005, 20268, 38269, 8314, 11934, 2949, 220, 717, 311, 220, 975, 4038, 13, 58846, 8314, 11934, 1304, 264, 2294, 5369, 311, 14425, 377, 3419, 357, 28844, 323, 36433, 5945, 1725, 13, 350, 3746, 1124, 1139, 264, 79085, 449, 264, 2697, 33213, 5707, 11, 477, 923, 1124, 311, 23935, 53031, 13, 58846, 38269, 8314, 11934, 1101, 12945, 2294, 994, 24276, 54662, 449, 33213, 5707, 323, 12290, 627, 12, 2650, 311, 79692, 7997, 81836, 198, 12, 2650, 311, 79692, 22036, 198, 12, 3658, 20994, 1901, 86670, 25, 362, 8681, 12424, 311, 87589, 4470, 198, 12, 2650, 311, 79692, 6031, 60803, 198, 12, 2650, 311, 79692, 7777, 969, 198, 12, 3053, 1472, 79692, 59205, 9949, 5380, 12, 3658, 20994, 42313, 21494, 198, 12, 3053, 1472, 79692, 47643, 727, 5380, 12, 3658, 20994, 1952, 919, 198, 12, 3658, 20994, 356, 57589 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 8142, 42902, 11, 10269, 54888, 1253, 617, 1027, 220, 1954, 82, 47994, 11, 6617, 13444, 6880, 369, 63920, 61798, 54888, 430, 1304, 499, 1427, 9498, 323, 65655, 13, 3744, 315, 279, 1948, 48724, 622, 12328, 978, 1126, 76, 3070, 315, 15921, 481, 3189, 36244, 5266, 388, 11, 650, 1152, 64, 374, 35426, 1903, 311, 923, 42533, 323, 12157, 311, 279, 54888, 369, 264, 5933, 323, 810, 65655, 11341, 13, 2468, 1077, 5274, 304, 6344, 75690, 11, 13256, 11, 12466, 46098, 2999, 13, 75671, 72695, 70, 6181, 27772, 65246, 315, 650, 1152, 64, 311, 2686, 7160, 2779, 54888, 430, 527, 10269, 323, 42902, 4245, 311, 56104, 11, 4785, 4814, 11, 477, 4325, 13, 3161, 3135, 430, 1566, 709, 311, 1403, 1667, 11, 650, 1152, 64, 555, 622, 12328, 978, 1126, 76, 374, 459, 15921, 481, 3189, 36244, 55810, 11, 902, 5829, 6409, 278, 324, 14338, 13935, 311, 1520, 701, 6930, 1427, 61405, 323, 2733, 64230, 13, 24416, 264, 29173, 311, 4048, 922, 1268, 650, 1152, 64, 15921, 481, 22972, 520, 362, 25525, 37108, 57257, 263, 649, 7916, 701, 11341, 555, 8405, 2539, 2136, 323, 12157, 627, 53, 1152, 64, 374, 264, 6409, 278, 324, 14338, 13935, 320, 17455, 8, 15921, 481, 55810, 430, 374, 1888, 369, 7999, 42533, 323, 12157, 311, 701, 54888, 13, 9176, 6978, 5406, 25983, 8286, 315, 872, 54888, 439, 814, 636, 9191, 477, 422, 814, 617, 5675, 264, 22520, 3392, 315, 4785, 13, 4427, 6978, 1253, 617, 18182, 42902, 54888, 323, 527, 11125, 6514, 311, 628, 1538, 872, 5209, 30188, 13, 11215, 889, 527, 20895, 477, 28456, 527, 539, 17446, 369, 650, 1152, 64, 65246, 13, 650, 1152, 64, 374, 12054, 555, 279, 12369, 323, 26166, 17128, 320, 82169, 8, 369, 6978, 927, 279, 4325, 315, 220, 1691, 13, 1472, 690, 617, 264, 29173, 311, 8417, 422, 650, 1152, 64, 374, 279, 1888, 5873, 369, 499, 13, 20817, 389, 701, 3966, 323, 46552, 9021, 11, 439, 1664, 439, 6593, 3925, 11, 264, 35649, 6514, 3197, 690, 387, 8040, 627, 7189, 309, 304, 856, 5209, 220, 1272, 596, 323, 264, 6691, 315, 832, 1716, 13, 358, 617, 264, 1633, 26192, 323, 4642, 2683, 304, 279, 6593, 2115, 13, 358, 1518, 5333, 315, 682, 17051, 29011, 315, 279, 1648, 814, 1427, 323, 1268, 872, 13162, 617, 5614, 449, 4325, 11, 82308, 323, 30596, 12, 30596, 10173, 287, 13, 8489, 358, 2846, 832, 315, 1884, 3278, 3001, 10541, 3515, 832, 20209, 433, 8659, 574, 3403, 311, 2349, 856, 2547, 13, 358, 574, 2163, 449, 27639, 20784, 6930, 13, 25929, 7999, 2380, 24301, 277, 84667, 68823, 11, 323, 1667, 315, 4785, 4814, 323, 4785, 8895, 13, 3092, 259, 8742, 6244, 264, 5542, 36850, 3001, 4740, 1667, 315, 79342, 15173, 358, 6773, 433, 574, 1457, 892, 311, 636, 856, 2547, 1203, 13, 358, 5268, 2999, 13, 72695, 70, 6181, 1606, 315, 1077, 19310, 17444, 439, 264, 46098, 13, 358, 617, 3970, 1063, 315, 1077, 990, 323, 15243, 449, 6978, 922, 872, 3217, 323, 7020, 1364, 574, 279, 2999, 13, 315, 5873, 369, 757, 13, 358, 309, 1457, 2380, 4038, 1772, 15173, 323, 8430, 11364, 3001, 358, 3021, 856, 502, 259, 8742, 323, 36517, 3215, 13, 358, 2231, 389, 264, 55305, 369, 279, 1176, 892, 304, 927, 17510, 1667, 13, 3092, 12410, 2237, 374, 5190, 1109, 433, 706, 1027, 304, 1667, 13, 1789, 5606, 79342, 15173, 15890, 2231, 433, 1022, 13, 1789, 757, 433, 574, 264, 2324, 10223, 3217, 1210, 12, 328, 13, 611, 5195, 611, 5033, 220, 2589, 11, 220, 679, 24, 198, 1, 9023, 13, 72695, 70, 6181, 374, 69883, 6431, 278, 0, 482, 358, 6051, 1047, 264, 350, 8742, 350, 1983, 611, 42239, 437, 2720, 10537, 2884, 555, 2999, 13, 72695, 70, 6181, 323, 358, 7846, 956, 387, 810, 6380, 449, 279, 3135, 13, 2999, 13, 72695, 70, 6181, 323, 1077, 5687, 264, 2294, 13, 2435, 1903, 757, 2733, 10882, 323, 19089, 682, 315, 856, 4860, 912, 5030, 1268, 1690, 358, 4691, 323, 4510, 757, 358, 4691, 264, 2763, 315, 1124, 13, 358, 617, 2646, 10534, 264, 16410, 4034, 439, 24729, 323, 6721, 439, 279, 6305, 358, 1047, 449, 1077, 13, 3005, 690, 617, 856, 21908, 12, 445, 13, 611, 8976, 12363, 611, 4723, 220, 2589, 11, 220, 679, 23, 198, 1, 1225, 42066, 323, 11919, 13, 3005, 2216, 34672, 922, 1077, 8893, 1210, 12, 445, 1087, 13, 611, 5195, 611, 12044, 220, 1691, 11, 220, 679, 24, 198, 1, 9023, 13, 72695, 70, 6181, 323, 6385, 17381, 8886, 279, 7252, 304, 279, 8184, 0, 2999, 13, 72695, 70, 6181, 374, 279, 1888, 0, 358, 1047, 856, 2926, 29173, 304, 6287, 220, 679, 23, 11, 311, 4358, 13937, 6930, 17065, 389, 856, 23152, 11, 1203, 323, 11977, 1306, 13490, 2212, 220, 6860, 16701, 13, 358, 1047, 18908, 279, 4785, 4814, 369, 2212, 220, 868, 1667, 11, 323, 856, 990, 323, 6020, 6671, 5616, 1903, 6930, 17065, 15173, 3284, 13, 358, 7020, 358, 574, 3411, 520, 3682, 15173, 14, 68823, 11, 323, 358, 4460, 311, 2733, 16913, 323, 69344, 315, 279, 1732, 358, 14896, 311, 2804, 1778, 16781, 990, 389, 757, 13, 358, 617, 864, 50457, 1579, 6680, 7410, 11, 21420, 6930, 30020, 323, 264, 3925, 315, 15748, 61880, 323, 63571, 449, 91906, 13, 358, 4460, 264, 46098, 889, 26893, 279, 23965, 6532, 449, 279, 3392, 315, 6930, 358, 4460, 7108, 11, 323, 889, 1053, 387, 3025, 311, 21676, 636, 279, 3135, 358, 4934, 13, 358, 61302, 449, 1403, 1023, 74272, 11, 323, 2225, 315, 1884, 37256, 1051, 33341, 323, 5115, 653, 41540, 1413, 13, 12361, 315, 36864, 856, 4860, 11, 358, 574, 14183, 311, 264, 75931, 1169, 477, 279, 7757, 439, 358, 574, 1694, 6982, 279, 6134, 13, 3092, 29173, 449, 2999, 13, 72695, 70, 6181, 574, 279, 4839, 14329, 13, 358, 574, 21190, 323, 10882, 1603, 358, 4024, 311, 279, 5274, 13, 89345, 11, 279, 5274, 6783, 11, 574, 779, 10437, 323, 11190, 994, 358, 12570, 311, 1077, 311, 1304, 856, 18101, 13, 2468, 279, 29173, 11, 2999, 13, 72695, 70, 6181, 323, 358, 14407, 3892, 16346, 311, 636, 279, 1888, 3135, 369, 856, 2547, 955, 13, 3005, 3952, 279, 892, 311, 7373, 10552, 279, 8882, 323, 1615, 315, 1855, 10537, 11, 279, 75954, 323, 13654, 6532, 11, 323, 279, 3135, 358, 1436, 89716, 1755, 13, 3005, 19089, 856, 4860, 323, 20669, 856, 10742, 449, 5201, 323, 38929, 13, 32255, 2999, 13, 72695, 70, 6181, 323, 358, 3782, 709, 449, 264, 3197, 315, 1957, 430, 1053, 3493, 279, 1888, 15632, 369, 757, 13, 358, 2646, 6612, 33341, 477, 1093, 358, 574, 304, 264, 6763, 9846, 26, 358, 574, 520, 14553, 323, 358, 1120, 7020, 358, 574, 304, 1695, 6206, 13, 5659, 430, 1633, 1176, 1938, 11, 358, 617, 6612, 6220, 11, 10882, 323, 7396, 555, 279, 4553, 5687, 13, 7357, 4034, 2533, 1243, 706, 1120, 49680, 856, 8430, 315, 46135, 369, 3515, 1766, 1778, 264, 11364, 11, 30598, 46098, 323, 1077, 12738, 2128, 13, 2999, 13, 72695, 70, 6181, 323, 1077, 5687, 9615, 2512, 922, 872, 6978, 529, 4686, 13654, 13, 358, 1047, 264, 13259, 324, 409, 41380, 259, 8742, 259, 1983, 323, 9063, 47621, 39061, 19588, 437, 2720, 389, 856, 13272, 304, 6841, 11, 264, 20716, 1584, 1203, 12157, 304, 5587, 11, 323, 459, 6916, 12157, 304, 5936, 13, 358, 1193, 1047, 832, 9099, 12330, 315, 61880, 1990, 682, 220, 18, 68823, 26, 358, 4070, 10534, 11201, 449, 264, 220, 868, 9568, 28817, 4269, 13, 358, 1047, 3892, 7693, 315, 3709, 1854, 389, 856, 64300, 323, 11977, 449, 279, 220, 18, 68823, 13, 16644, 856, 1317, 3925, 315, 6930, 30020, 11, 433, 574, 539, 15206, 430, 358, 10534, 23540, 21730, 304, 1063, 5789, 13, 2999, 13, 72695, 70, 6181, 5602, 757, 1475, 3254, 1938, 11, 2737, 38102, 11, 323, 1364, 3782, 311, 856, 44200, 311, 1817, 389, 757, 13, 3005, 574, 1101, 264, 3831, 29115, 304, 10695, 757, 636, 279, 2512, 358, 4460, 311, 27661, 449, 279, 1888, 3135, 13, 358, 6612, 1077, 4747, 323, 358, 7020, 1364, 59383, 42777, 922, 856, 13654, 13, 358, 1097, 11112, 38564, 449, 856, 3135, 13, 2999, 13, 72695, 70, 6181, 323, 1077, 2128, 617, 12020, 757, 1093, 3070, 6957, 420, 4553, 1920, 13, 358, 2646, 3685, 420, 311, 387, 1778, 264, 2324, 49961, 3217, 11, 4871, 323, 704, 13, 2999, 13, 72695, 70, 6181, 323, 1077, 5687, 753, 51475, 9087, 757, 311, 1505, 659, 91980, 358, 3287, 1431, 1524, 13383, 358, 574, 7554, 0, 2435, 682, 9615, 2512, 922, 872, 6978, 529, 61876, 13654, 1475, 3094, 315, 279, 1648, 13, 3277, 856, 2324, 13463, 5535, 757, 279, 6776, 311, 617, 856, 13937, 6930, 7108, 11, 420, 574, 10213, 922, 279, 15325, 488, 315, 3794, 9463, 315, 279, 7106, 36505, 9057, 555, 279, 6930, 1418, 358, 574, 2103, 12309, 3995, 13, 358, 4934, 311, 387, 3025, 311, 10368, 2085, 3515, 30020, 323, 32317, 505, 279, 5066, 6930, 11, 323, 358, 4934, 311, 636, 279, 5066, 4785, 1022, 856, 1203, 311, 1520, 856, 39074, 54397, 323, 18638, 6784, 13, 358, 2751, 279, 15325, 3135, 358, 574, 3411, 369, 11, 719, 279, 2512, 11, 1862, 323, 51475, 315, 2999, 13, 72695, 70, 6181, 323, 1077, 5687, 617, 2728, 757, 779, 1790, 810, 13, 358, 3463, 420, 574, 2133, 311, 387, 279, 1566, 3094, 304, 856, 4785, 4814, 11879, 11, 719, 433, 706, 6656, 704, 311, 387, 279, 1212, 315, 856, 502, 2324, 13, 358, 4344, 539, 16984, 311, 2559, 709, 369, 7182, 11, 902, 374, 459, 15400, 323, 92044, 13051, 13, 3092, 4885, 323, 3070, 1518, 264, 6908, 6811, 304, 279, 1648, 358, 1427, 323, 6920, 7182, 11, 22655, 323, 34325, 13, 358, 6051, 6656, 220, 1774, 1667, 2362, 11, 323, 358, 2663, 433, 856, 1050, 7826, 4914, 6187, 13, 358, 7020, 358, 1053, 617, 264, 5199, 2349, 304, 856, 2547, 11, 719, 358, 2646, 57636, 358, 1053, 617, 1778, 459, 15400, 10723, 323, 14604, 18475, 779, 6288, 13, 358, 617, 1027, 12646, 1540, 439, 264, 16913, 11, 659, 35915, 3149, 5333, 11, 323, 358, 1097, 12304, 311, 1781, 922, 1148, 753, 311, 2586, 304, 856, 502, 2324, 1210, 12, 445, 13, 611, 8976, 12363, 611, 3297, 220, 2545, 11, 220, 679, 24, 198, 1, 50755, 3217, 482, 1102, 706, 1027, 264, 2478, 1667, 719, 1364, 574, 1633, 8893, 323, 3169, 323, 2216, 42777, 922, 757, 13, 6385, 5687, 574, 1101, 2294, 13, 358, 2103, 7079, 1274, 311, 1077, 1524, 3582, 433, 753, 1027, 17918, 220, 20, 1667, 13, 11186, 28192, 1322, 5009, 35394, 31537, 611, 650, 16664, 611, 5186, 220, 1627, 11, 220, 679, 24, 198, 12805, 499, 3077, 1047, 264, 29173, 449, 2999, 13, 72695, 70, 6181, 11, 701, 26127, 1253, 387, 13847, 369, 2500, 1938, 477, 10887, 279, 1890, 1938, 11, 11911, 389, 18539, 13, 763, 1057, 389, 29654, 3344, 6540, 64, 11, 499, 690, 2503, 323, 12234, 1418, 701, 41803, 374, 35294, 291, 1603, 279, 65246, 13, 578, 63743, 649, 1101, 3881, 264, 1661, 7278, 12932, 311, 1304, 279, 10537, 2753, 26175, 422, 11472, 13, 1789, 16437, 11, 701, 63743, 690, 1906, 701, 3663, 1603, 86661, 279, 65246, 449, 264, 7060, 31409, 13, 3277, 279, 650, 1152, 64, 706, 1027, 41772, 11, 499, 1253, 5406, 1063, 55307, 323, 2579, 2136, 11, 719, 420, 6118, 5258, 3422, 389, 1202, 1866, 627, 3923, 311, 33185, 198, 2520, 1455, 6978, 11, 279, 7720, 315, 650, 1152, 64, 22972, 527, 9621, 7214, 323, 1253, 1566, 922, 1403, 1667, 13, 1102, 374, 9024, 311, 2274, 15748, 477, 29869, 3185, 6372, 505, 650, 1152, 64, 65246, 11, 8051, 422, 499, 656, 617, 4860, 11, 10742, 11, 477, 264, 13010, 11, 4587, 1650, 362, 25525, 37108, 57257, 263, 369, 13291, 13, 578, 1455, 4279, 3185, 6372, 527, 8275, 2579, 2136, 11, 66510, 11, 477, 55307, 315, 279, 26127, 2816, 13, 4314, 13803, 527, 8965, 1633, 9099, 13, 12220, 701, 29173, 11, 2610, 701, 63743, 922, 994, 311, 3197, 701, 1828, 18101, 311, 3060, 1977, 709, 477, 13334, 279, 3135, 315, 650, 1152, 64, 627, 37, 70941, 53763, 24271, 198, 4438, 1790, 1587, 650, 1152, 64, 2853, 5380, 7927, 2853, 369, 264, 650, 1152, 64, 6514, 649, 13592, 11, 11911, 389, 1268, 1790, 2027, 374, 2631, 311, 3449, 701, 9021, 13, 8876, 650, 1152, 64, 40758, 709, 311, 1403, 1667, 11, 499, 1288, 5357, 389, 9455, 459, 10534, 63743, 323, 5766, 12660, 10209, 9193, 12136, 477, 14459, 12744, 65246, 13, 32499, 311, 701, 1176, 26127 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 644, 3293, 1667, 584, 617, 1027, 9298, 264, 3544, 4585, 505, 3318, 15144, 9053, 311, 5376, 279, 8187, 19602, 13, 578, 4689, 12876, 505, 279, 2326, 32027, 374, 311, 4933, 279, 6918, 8187, 19602, 311, 400, 868, 13, 410, 459, 6596, 13, 4452, 11, 1070, 527, 37635, 9002, 279, 11572, 315, 420, 5376, 304, 23998, 11, 439, 1063, 18046, 279, 16296, 315, 420, 2349, 1436, 63074, 279, 7720, 13, 1115, 8712, 315, 10430, 374, 7701, 21190, 2949, 279, 47609, 5064, 11, 439, 1690, 315, 279, 32027, 753, 3697, 5371, 8187, 477, 1207, 39088, 23998, 627, 8142, 7487, 527, 8965, 33445, 315, 1521, 4442, 11, 1063, 9053, 4510, 430, 264, 8187, 19602, 5376, 1436, 387, 65069, 311, 279, 8752, 13, 71190, 1053, 4461, 1205, 311, 4933, 10565, 7194, 323, 1253, 617, 17250, 4560, 311, 2343, 1521, 5190, 23998, 311, 872, 8420, 627, 32, 5526, 5811, 82033, 430, 19054, 9511, 7194, 1053, 5353, 9873, 311, 387, 12153, 311, 18467, 810, 1520, 11, 323, 9093, 2678, 9873, 1053, 7831, 11, 323, 26690, 7969, 1053, 10205, 627, 11458, 11, 9002, 279, 1510, 65151, 39259, 11, 9873, 7859, 872, 8187, 19602, 1053, 4461, 1520, 1124, 4822, 15022, 4315, 33547, 8420, 13, 3277, 433, 4131, 311, 279, 47609, 5064, 11, 1070, 527, 1690, 4754, 6928, 323, 8389, 6372, 430, 1436, 12446, 439, 264, 1121, 315, 7859, 279, 6918, 8187, 19602, 627, 32, 37618, 9372, 520, 279, 11346, 315, 12411, 32025, 95537, 42089, 198, 1271, 7373, 3619, 279, 2204, 90909, 9002, 279, 8187, 19602, 11249, 11, 832, 2011, 1176, 3719, 11537, 449, 279, 3925, 315, 12411, 32025, 95537, 4442, 13, 8876, 279, 12579, 315, 279, 14930, 15277, 35653, 3298, 315, 220, 7285, 23, 11, 279, 6918, 8187, 19602, 304, 5270, 706, 1027, 7319, 220, 24, 3115, 627, 791, 1566, 8187, 19602, 5376, 574, 304, 220, 1049, 22, 11, 1405, 433, 574, 9408, 311, 400, 22, 13, 914, 13, 23548, 264, 220, 679, 17, 8835, 369, 5190, 23998, 304, 1561, 4356, 4409, 11, 5370, 11351, 2737, 279, 5475, 17275, 7327, 9323, 320, 937, 81100, 8, 617, 10968, 872, 9045, 389, 55927, 369, 279, 6918, 8187, 19602, 5376, 311, 400, 868, 13, 410, 459, 6596, 13, 1115, 7351, 374, 3967, 439, 279, 1054, 66754, 369, 400, 868, 863, 323, 279, 12974, 2349, 706, 14958, 264, 8712, 315, 19428, 11249, 2533, 1202, 14050, 627, 791, 43646, 279, 95537, 3298, 315, 220, 2366, 16, 55725, 19054, 279, 6918, 8187, 19602, 311, 400, 868, 13, 410, 555, 220, 2366, 20, 13, 1102, 1053, 7214, 12157, 279, 6918, 8187, 19602, 311, 400, 24, 13, 1135, 459, 6596, 11, 16650, 750, 7859, 433, 311, 400, 868, 927, 220, 20, 1667, 11, 1306, 902, 433, 1053, 617, 9974, 53080, 311, 23369, 19602, 6650, 13, 6104, 15879, 315, 279, 4121, 18046, 430, 279, 1510, 8187, 19602, 374, 2288, 3428, 311, 1862, 279, 16448, 2853, 315, 5496, 11, 3885, 4510, 430, 19054, 279, 8187, 19602, 420, 1790, 1436, 387, 264, 23104, 311, 2626, 7980, 323, 5353, 459, 5376, 304, 26690, 7969, 627, 8142, 279, 1180, 55725, 264, 2349, 304, 279, 6918, 8187, 19602, 11, 433, 1101, 5764, 810, 3230, 41693, 311, 1268, 3738, 63334, 304, 279, 32027, 527, 7318, 13, 36798, 304, 279, 47609, 5064, 1053, 8935, 5423, 505, 420, 2349, 2533, 1690, 315, 279, 7931, 2949, 279, 5064, 527, 66472, 7487, 13, 1115, 1207, 39088, 19602, 5131, 17208, 311, 66472, 7487, 11, 520, 1193, 400, 17, 13, 1032, 824, 6596, 13, 578, 12579, 315, 420, 4121, 1053, 5376, 279, 1510, 23998, 315, 66472, 7487, 311, 400, 19, 13, 3264, 459, 6596, 7214, 323, 3493, 53399, 12992, 779, 430, 872, 23998, 1053, 9778, 3719, 6273, 311, 279, 5410, 8187, 19602, 627, 97296, 1711, 430, 66472, 7487, 527, 7318, 520, 3325, 279, 6918, 8187, 19602, 1053, 3152, 279, 45980, 4090, 315, 279, 1207, 39088, 19602, 369, 1521, 7487, 323, 1053, 2187, 1124, 311, 2103, 4287, 10631, 304, 5369, 311, 872, 5912, 23998, 13, 91363, 315, 279, 1180, 4510, 430, 420, 1053, 1520, 311, 18979, 279, 3392, 315, 47609, 5064, 7487, 430, 527, 5496, 304, 19542, 627, 3923, 374, 279, 14930, 15277, 35653, 3298, 320, 6254, 7934, 87527, 791, 14930, 15277, 35653, 3298, 320, 6254, 7934, 705, 11798, 304, 220, 7285, 23, 11, 374, 38350, 13543, 20950, 7922, 12128, 37424, 304, 5270, 13, 1102, 574, 9749, 311, 1893, 264, 6918, 8187, 19602, 430, 374, 19883, 369, 682, 13918, 2949, 5270, 13, 763, 5369, 311, 420, 11, 814, 743, 3738, 43773, 7607, 369, 279, 14740, 315, 7487, 11, 1778, 439, 39599, 2343, 11, 279, 51114, 990, 1316, 11, 323, 12822, 14740, 10886, 627, 791, 435, 7416, 32, 1101, 3549, 17959, 369, 279, 8323, 315, 3738, 12128, 5315, 520, 264, 4478, 2753, 1109, 279, 45530, 8187, 19602, 13, 4314, 5315, 2997, 4236, 11, 7487, 449, 36801, 11, 323, 66472, 7487, 13, 10771, 311, 279, 435, 7416, 32, 23234, 649, 2343, 66472, 7487, 264, 1207, 39088, 19602, 3392, 430, 374, 3770, 279, 6918, 8187, 19602, 627, 85423, 315, 432, 51226, 279, 32025, 95537, 369, 279, 88705, 24780, 198, 8075, 388, 315, 279, 1180, 311, 5376, 279, 6918, 8187, 19602, 311, 400, 868, 459, 6596, 617, 14407, 1690, 4754, 7720, 315, 279, 2349, 11, 5423, 18815, 7931, 304, 279, 47609, 5064, 13, 432, 51226, 279, 8187, 19602, 1436, 617, 1690, 6928, 6372, 2949, 279, 32027, 369, 2225, 279, 23234, 439, 1664, 439, 279, 7487, 627, 32, 1925, 12899, 2944, 369, 12579, 279, 4121, 374, 430, 19054, 279, 8187, 19602, 1053, 7417, 5496, 10886, 369, 8187, 19602, 7487, 13, 1102, 706, 1027, 18784, 430, 279, 1510, 6918, 8187, 19602, 4250, 1862, 264, 2539, 7394, 9548, 304, 1690, 5789, 315, 279, 3224, 449, 5190, 7194, 315, 5496, 11, 323, 264, 5190, 8187, 19602, 1436, 1520, 311, 30569, 420, 4360, 13, 91363, 3802, 430, 420, 5376, 304, 23998, 323, 13241, 5496, 10886, 369, 7487, 1053, 7417, 8244, 63683, 304, 279, 27465, 627, 2028, 7319, 63683, 1253, 3063, 311, 7319, 26206, 323, 5990, 315, 24617, 2949, 32027, 10093, 11, 323, 9093, 264, 14278, 304, 9548, 48639, 13, 3161, 8420, 810, 2262, 449, 872, 7032, 323, 2753, 4461, 311, 5387, 872, 10093, 11, 5220, 1053, 387, 3025, 311, 3665, 389, 279, 7194, 430, 2586, 449, 24009, 323, 4967, 502, 5687, 3697, 627, 23562, 288, 1053, 1101, 8935, 505, 279, 2349, 2533, 459, 7319, 8187, 19602, 374, 459, 3062, 8331, 7119, 19994, 15022, 4315, 2683, 32177, 13, 9176, 4754, 7487, 527, 2753, 43131, 311, 3881, 369, 10093, 430, 656, 539, 3449, 264, 3738, 8187, 19602, 11, 902, 11141, 9873, 2753, 4461, 311, 9504, 264, 3544, 7463, 315, 2683, 11426, 13, 1115, 649, 1304, 47609, 65151, 5107, 11, 439, 9873, 617, 264, 16127, 892, 9455, 15337, 7487, 369, 872, 8187, 19602, 10093, 13, 10771, 311, 828, 14890, 505, 279, 2467, 689, 23508, 5452, 11, 2683, 35871, 369, 10093, 12798, 400, 717, 824, 6596, 477, 2753, 3629, 656, 539, 5371, 1690, 32177, 627, 2028, 9327, 304, 14740, 65873, 4315, 32177, 3196, 389, 2683, 23998, 15151, 264, 1205, 311, 2349, 279, 6918, 8187, 19602, 13, 1102, 374, 3284, 430, 264, 400, 868, 8187, 19602, 5376, 1436, 5353, 810, 15337, 11426, 311, 3881, 369, 8187, 19602, 10093, 11, 323, 430, 279, 45980, 4090, 315, 1207, 39088, 19602, 369, 66472, 7032, 1436, 3063, 311, 7191, 7631, 369, 1521, 10093, 323, 617, 6928, 6372, 304, 10960, 32959, 323, 1023, 47609, 65151, 627, 49, 51226, 279, 8187, 19602, 311, 400, 868, 1436, 1101, 1520, 311, 3345, 1057, 3224, 753, 10026, 323, 7102, 6108, 2343, 323, 12205, 33251, 13, 362, 1934, 505, 279, 5165, 41952, 7658, 5907, 1766, 430, 3278, 323, 1274, 315, 1933, 1051, 927, 53859, 304, 279, 32027, 315, 7487, 430, 1304, 2753, 1109, 400, 868, 459, 6596, 323, 927, 53859, 2949, 279, 19647, 323, 13073, 449, 1063, 315, 279, 8592, 49892, 315, 7487, 28744, 2753, 1109, 400, 868, 459, 6596, 13, 24296, 11, 264, 80153, 1396, 315, 23413, 7487, 527, 7559, 2949, 279, 220, 1691, 5415, 430, 10519, 264, 8187, 19602, 315, 400, 22, 13, 914, 459, 6596, 627, 2127, 9678, 6492, 555, 279, 23362, 11216, 10181, 2795, 430, 279, 1180, 1053, 5376, 23998, 369, 17715, 264, 4948, 315, 682, 5348, 7487, 323, 264, 8502, 315, 682, 44862, 7487, 323, 430, 810, 1109, 4376, 315, 279, 7487, 889, 1053, 8935, 1053, 387, 3278, 13, 1115, 1180, 1053, 1520, 311, 1862, 3278, 323, 23413, 8187, 19602, 7487, 39075, 11, 323, 304, 3815, 779, 1053, 1520, 311, 3345, 279, 10026, 323, 7102, 6108, 12205, 33251, 627, 4944, 14625, 38886, 315, 264, 32025, 95537, 40733, 369, 279, 88705, 24780, 198, 1966, 279, 1023, 1450, 11, 1884, 2403, 7859, 279, 6918, 8187, 19602, 311, 400, 868, 459, 6596, 617, 12090, 1690, 5627, 304, 902, 279, 2349, 1436, 387, 264, 49836, 369, 1884, 304, 279, 47609, 5064, 13, 6104, 279, 4623, 315, 19054, 279, 8187, 19602, 7194, 4028, 279, 3224, 374, 10968, 389, 84015, 7487, 11, 8081, 388, 18046, 430, 433, 1436, 1121, 304, 73443, 16296, 369, 7487, 323, 23234, 627, 32, 5526, 5811, 2403, 279, 8187, 19602, 5376, 374, 430, 9873, 1053, 7831, 13, 35321, 23998, 369, 8420, 1253, 1121, 304, 7319, 10565, 7194, 369, 2678, 9873, 13, 3161, 279, 47609, 5064, 1120, 7314, 311, 11993, 1578, 1306, 279, 8389, 6372, 315, 279, 15603, 38074, 12, 777, 28522, 11, 1690, 8081, 388, 315, 279, 4121, 11196, 430, 7319, 6020, 8631, 505, 7859, 279, 8187, 19602, 1053, 387, 2288, 5107, 264, 23104, 369, 279, 5064, 311, 51571, 627, 56851, 99441, 1101, 3802, 430, 264, 8187, 19602, 5376, 311, 400, 868, 1436, 13194, 7931, 889, 17631, 389, 3600, 430, 3539, 8187, 19602, 7487, 11, 1778, 439, 80271, 12850, 13, 10771, 311, 264, 1934, 555, 578, 34243, 5114, 11, 264, 80637, 65509, 8187, 19602, 5376, 311, 400, 868, 459, 6596, 1053, 5376, 80271, 7194, 555, 220, 1691, 4, 4028, 682, 5415, 13, 9176, 9053, 1005, 80271, 3600, 311, 6106, 279, 7296, 315, 872, 2911, 1418, 814, 990, 477, 23564, 5190, 6873, 311, 1862, 872, 8689, 13, 2030, 449, 80271, 7194, 7859, 449, 279, 8187, 19602, 11, 420, 1253, 387, 39075, 65069, 369, 47609, 5064, 7487, 11, 5423, 304, 5789, 449, 36342, 4827, 23998, 13, 25274, 80271, 3600, 653, 2715, 36270, 369, 9053, 5496, 304, 5789, 449, 3428, 41238, 37671, 1436, 19407, 24927, 279, 9511, 3157, 304, 1884, 13918, 627, 2173, 3388, 11, 279, 2349, 311, 5376, 279, 8187, 19602, 1053, 7958, 3738, 5789, 304, 14091, 79962, 5627, 13, 20817, 389, 279, 12742, 37671, 2949, 2204, 5415, 11, 584, 1053, 387, 3025, 311, 1755, 264, 2134, 315, 3135, 505, 279, 4121, 11, 323, 1268, 3738, 19647, 304, 1884, 5789, 1093, 279, 47609, 5064, 527, 11754, 13, 362, 6918, 11, 14113, 8187, 19602, 5376, 1053, 73152, 5536, 9873, 304, 5415, 449, 264, 4827, 2853, 315, 5496, 439, 16475, 311, 264, 5190, 832, 13, 350, 552, 1990, 8187, 19602, 323, 25544, 1253, 1893, 4819, 304, 4827, 41238, 5789, 5423, 422, 279, 4121, 1051, 311, 1522, 627, 60146, 279, 8187, 19602, 311, 279, 1890, 3392, 369, 682, 279, 3224, 753, 37671, 4028, 279, 4580, 1436, 19407, 7958, 7931, 315, 37671, 449, 4827, 5496, 23998, 13, 32886, 1436, 7831, 323, 26690, 7969, 1436, 5376, 304, 1521, 7634, 11, 2533, 23234, 1253, 539, 387, 3025, 311, 10150, 311, 2343, 279, 9408, 3392, 311, 872, 8420, 13, 578, 7319, 8187, 19602, 1436, 1121, 304, 1063, 5789, 315, 279, 3224, 25051, 8389, 16296, 1093, 25544, 11, 17162, 14740, 10708, 11, 323, 810, 4745, 9873, 627, 22186, 279, 88705, 24780, 67450, 505, 74540, 279, 32025, 95537, 5380, 791, 8712, 315, 19054, 279, 12411, 32025, 95537, 311, 400, 868, 459, 6596, 8625, 264, 32813, 11249, 311, 420, 1938, 13, 578, 4121, 753, 11223, 4442, 8854, 311, 8935, 8187, 19602, 7487, 323, 1436, 1893, 7191, 7631, 369, 8187, 19602, 7032, 449, 7319, 2683, 26206, 323, 11293, 48639, 11, 902, 1253, 4827, 4967, 7194, 369, 9873, 11, 4933, 14740, 7969, 11, 323, 1520, 311, 3345, 10026, 323, 7102, 6108, 12205, 33251, 627, 11458, 11, 1070, 1436, 387, 73443, 3135, 315, 279, 19123, 12579, 439, 1664, 11, 902, 1436, 1121, 304, 5190, 10565, 7194, 369, 2678, 9873, 11, 8389, 25949, 389, 3428, 41238, 37671, 11, 323, 7319, 18512, 369, 80271, 3600, 627, 8142, 433, 374, 3062, 311, 387, 8010, 315, 279, 10093, 389, 2225, 11314, 315, 420, 26654, 11, 584, 520, 2467, 689, 10105, 1862, 279, 5915, 315, 7859, 8187, 23998, 311, 1888, 363, 6762, 20448, 311, 7931, 3318, 2949, 279, 47609, 5064, 13, 6104, 279, 4121, 753, 12579, 1253, 617 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 40, 3350, 311, 499, 420, 11714, 449, 9959, 20562, 12, 777, 9013, 323, 5070, 439, 1664, 439, 3293, 27743, 3754, 627, 2028, 690, 387, 279, 1566, 17496, 20846, 3156, 6250, 13, 6104, 1063, 315, 279, 2038, 1253, 2873, 59177, 11, 433, 1587, 1935, 856, 323, 856, 5687, 753, 892, 311, 2231, 420, 3871, 1475, 2046, 323, 584, 527, 2133, 311, 3041, 13520, 264, 1464, 369, 6287, 13, 5046, 3388, 11, 422, 2555, 34771, 8741, 11, 358, 690, 2567, 499, 16369, 13, 358, 3987, 430, 499, 323, 701, 8689, 617, 264, 6220, 323, 32180, 7474, 627, 2620, 315, 36962, 198, 12, 3314, 28600, 198, 12, 5165, 28600, 198, 12, 24562, 28600, 198, 12, 20562, 12, 777, 27866, 8245, 198, 12, 9917, 59788, 2617, 28600, 198, 12, 59788, 2617, 57413, 16607, 198, 12, 1115, 10563, 753, 11799, 4605, 198, 12, 83488, 31922, 10928, 425, 28600, 198, 12, 68505, 28600, 198, 12, 38895, 6401, 8471, 323, 16607, 198, 12, 11208, 311, 21335, 198, 10510, 39, 86586, 288, 25603, 27121, 311, 18042, 1295, 34507, 388, 198, 644, 264, 5887, 220, 1682, 6661, 11, 6011, 315, 3142, 6401, 30454, 24079, 2171, 99839, 28932, 22108, 77605, 311, 463, 64119, 5662, 704, 311, 682, 6978, 889, 26456, 369, 57532, 35130, 11, 15253, 6978, 311, 5371, 57532, 35130, 439, 5246, 439, 814, 3719, 17446, 11, 2980, 1080, 28324, 4138, 315, 2225, 20236, 323, 20562, 12, 777, 40300, 11, 323, 2980, 20256, 47165, 44335, 13, 30454, 99839, 1101, 4691, 77605, 311, 1935, 1475, 6776, 2391, 33400, 21728, 311, 14027, 3357, 5606, 889, 706, 539, 3686, 4036, 904, 20562, 12, 777, 25474, 627, 2078, 1050, 14576, 27359, 449, 18766, 64, 369, 19116, 292, 2298, 20562, 12, 777, 100058, 198, 791, 38180, 8735, 1071, 6740, 433, 706, 8813, 459, 9306, 449, 18766, 64, 311, 3780, 220, 2287, 3610, 35130, 315, 279, 2883, 753, 1828, 9659, 315, 20562, 12, 777, 25474, 430, 11811, 279, 7701, 1380, 45164, 8019, 292, 2298, 11678, 11, 3403, 8312, 420, 12688, 369, 682, 889, 1390, 279, 33624, 57532, 13, 578, 2015, 315, 279, 293, 12031, 6689, 11263, 279, 17480, 1566, 2305, 430, 279, 6918, 3109, 1047, 27528, 220, 6550, 3610, 35130, 315, 264, 4528, 25474, 505, 21425, 5623, 26850, 97954, 13, 15281, 810, 25, 3788, 1129, 86, 11490, 71585, 14, 18, 48, 717, 56, 20, 77, 627, 39, 12228, 7943, 2914, 52910, 315, 58937, 79, 5241, 100058, 311, 4497, 34776, 220, 16, 13, 16, 34629, 423, 20274, 198, 791, 549, 815, 13, 6011, 315, 6401, 323, 11344, 8471, 320, 39, 12228, 8, 3432, 7376, 6787, 311, 22864, 459, 5217, 220, 25251, 11, 931, 35130, 315, 622, 25259, 4031, 3204, 25474, 11, 29057, 7859, 279, 8312, 315, 39803, 79, 5241, 25474, 35130, 311, 5415, 323, 56043, 13, 578, 5217, 25474, 24691, 11621, 311, 279, 810, 1109, 220, 13679, 11, 931, 35130, 315, 622, 25259, 4031, 3204, 25474, 430, 617, 2736, 1027, 12886, 311, 56043, 13, 622, 25259, 4031, 3204, 25474, 374, 28648, 555, 78080, 8997, 64466, 323, 12054, 555, 279, 12369, 323, 26166, 17128, 311, 5471, 2678, 79, 5241, 323, 39803, 79, 5241, 13, 15281, 810, 25, 3788, 1129, 4590, 28349, 14, 18, 3407, 39, 11032, 44, 198, 26479, 14024, 100058, 18905, 1233, 6658, 4978, 14097, 1555, 6287, 220, 605, 198, 791, 24562, 3142, 6401, 6011, 6209, 25474, 44335, 369, 7931, 20330, 220, 20, 323, 9191, 389, 6658, 4978, 14097, 505, 220, 17, 25, 410, 1389, 220, 19, 25, 410, 5975, 520, 220, 9079, 57555, 800, 11, 220, 17, 303, 6558, 13, 578, 1566, 28913, 690, 387, 389, 6287, 220, 605, 11, 220, 2366, 17, 13, 8618, 369, 459, 18101, 520, 3788, 1129, 4590, 28349, 14, 18, 11706, 40, 80, 410, 477, 1650, 220, 21717, 12, 23467, 12, 18781, 21, 449, 4860, 627, 79063, 12, 777, 27866, 8245, 198, 26479, 14024, 57413, 12, 7456, 27866, 198, 70635, 15744, 7649, 11, 3984, 1555, 264, 15664, 449, 356, 1341, 6401, 11, 374, 2561, 220, 22, 2919, 824, 2046, 311, 1274, 889, 3974, 477, 990, 304, 24562, 13, 27866, 520, 356, 1341, 6401, 753, 220, 16780, 21530, 6825, 3813, 374, 2561, 2391, 279, 2768, 4207, 512, 12, 7159, 1389, 6740, 11, 505, 220, 23, 25, 410, 264, 749, 13, 1389, 220, 23, 25, 410, 281, 749, 627, 12, 7884, 612, 7418, 11, 505, 220, 23, 25, 410, 264, 749, 13, 1389, 220, 21, 25, 410, 281, 749, 627, 2213, 60617, 649, 387, 34070, 2930, 520, 54877, 79505, 916, 2971, 309, 14024, 477, 13291, 374, 2561, 505, 356, 1341, 753, 12557, 5475, 8068, 520, 49293, 73737, 36587, 2726, 477, 555, 8260, 220, 23873, 12, 11209, 12, 17313, 22, 627, 1423, 20562, 12, 777, 27866, 198, 5618, 4034, 3148, 14489, 14, 1991, 2323, 291, 627, 7778, 67791, 20756, 369, 58338, 198, 5618, 4034, 259, 28349, 5574, 43, 19, 73, 369, 3649, 323, 311, 1715, 264, 1296, 16530, 627, 4940, 59788, 2617, 28600, 198, 53, 4575, 1572, 323, 34507, 388, 369, 15394, 198, 2170, 264, 27626, 11, 2911, 20330, 220, 21, 4038, 323, 9191, 527, 1457, 17446, 311, 5371, 279, 20562, 12, 777, 25474, 323, 2911, 17051, 220, 20, 1667, 323, 9191, 527, 17446, 369, 264, 20562, 12, 777, 57532, 19660, 627, 12, 95936, 5493, 529, 87638, 25, 7290, 701, 1716, 753, 10896, 477, 29198, 311, 8417, 25474, 18539, 627, 12, 2057, 1518, 682, 22108, 25474, 10687, 323, 1304, 37256, 11, 733, 311, 348, 710, 34439, 68471, 14489, 477, 650, 710, 5953, 4396, 916, 369, 2911, 449, 49069, 323, 5255, 1023, 28377, 3966, 627, 94709, 889, 617, 4036, 520, 3325, 220, 16, 19660, 25, 220, 7461, 11, 18650, 198, 68486, 59788, 15846, 64348, 25, 220, 4218, 11, 22876, 198, 94709, 449, 75292, 25, 220, 3226, 11, 4119, 198, 7749, 35130, 38018, 25, 220, 868, 11, 6280, 11, 22005, 198, 7749, 57532, 35130, 38018, 25, 220, 18, 11, 6330, 11, 26720, 198, 7749, 2132, 57532, 35130, 38018, 25, 220, 22642, 11, 19306, 198, 10510, 39, 16607, 389, 20562, 12, 777, 323, 58937, 79, 5241, 198, 79063, 12, 777, 87684, 25, 3788, 1129, 4590, 28349, 14, 18, 64, 43, 81, 54, 1484, 198, 97938, 79, 5241, 2038, 25, 3148, 14489, 14, 97116, 79, 5241, 198, 2028, 10563, 753, 20562, 12, 777, 11799, 4605, 198, 5618, 5296, 430, 1521, 527, 1193, 279, 5068, 5157, 13, 578, 5150, 1162, 14921, 527, 1234, 76833, 4245, 311, 1274, 1701, 11295, 7177, 520, 2162, 13, 10771, 311, 279, 40409, 11, 279, 20562, 12, 777, 4029, 2237, 304, 12877, 11814, 6406, 374, 25352, 627, 7749, 47124, 25, 220, 16, 11, 20899, 11, 19631, 198, 3648, 47124, 25, 220, 24, 11, 25741, 198, 7749, 85812, 25, 220, 777, 11, 24809, 198, 3648, 67791, 20756, 25, 220, 8878, 11, 16551, 198, 7749, 47124, 25, 220, 2148, 11, 18634, 198, 3648, 47124, 25, 220, 2148, 198, 7749, 85812, 25, 220, 11515, 198, 1423, 21416, 828, 28065, 25, 2766, 28349, 14, 18, 10407, 18, 71, 41, 74, 198, 27588, 22329, 20562, 28065, 25, 2766, 28349, 14, 18, 89, 23, 9258, 18, 34, 627, 5618, 1518, 3770, 369, 1063, 22020, 315, 279, 842, 315, 16287, 27743, 16079, 369, 220, 2366, 16, 12, 2366, 17, 13, 358, 690, 4430, 810, 3649, 3235, 449, 4443, 15160, 304, 459, 14827, 2613, 13, 358, 1097, 26259, 311, 30173, 2947, 13389, 11, 16478, 5384, 76064, 11289, 11, 323, 856, 18105, 369, 872, 39955, 311, 4737, 709, 19123, 430, 6144, 20134, 11062, 315, 279, 38298, 323, 8881, 279, 30601, 323, 2819, 315, 1057, 51720, 627, 78706, 269, 29492, 59124, 3402, 299, 68243, 39435, 8766, 198, 1966, 7742, 279, 22108, 47126, 5946, 1556, 3298, 24050, 37424, 369, 42889, 323, 10026, 71260, 2923, 287, 2512, 11, 323, 24245, 29492, 8667, 433, 1139, 2383, 3432, 13, 1115, 2383, 26420, 8276, 10401, 369, 20710, 2512, 2085, 6293, 954, 477, 32174, 323, 2680, 311, 24099, 20710, 389, 682, 586, 7926, 612, 12374, 53008, 11, 5636, 433, 20064, 9803, 430, 86144, 12933, 1253, 13262, 1137, 507, 7905, 11217, 1778, 439, 13147, 45936, 418, 1924, 13, 1115, 2383, 690, 1101, 6106, 9313, 369, 12850, 323, 704, 8838, 21395, 6978, 304, 22108, 13, 358, 1097, 26259, 430, 279, 4121, 358, 13019, 311, 5813, 264, 52041, 11509, 2015, 779, 5606, 304, 22108, 649, 636, 279, 13147, 72354, 430, 374, 1314, 369, 1124, 2085, 7781, 323, 449, 8276, 10401, 574, 961, 315, 420, 13543, 627, 19444, 23265, 1598, 19157, 2396, 37321, 1837, 220, 17, 13, 15, 198, 1966, 7950, 279, 22108, 47126, 5946, 1556, 3298, 8844, 311, 69741, 18637, 311, 279, 2254, 323, 15481, 586, 2890, 1887, 311, 2686, 83057, 304, 279, 9889, 315, 586, 2890, 3600, 11, 1101, 3967, 439, 37321, 1837, 220, 17, 13, 15, 13, 1115, 13543, 64664, 459, 7524, 323, 77109, 2254, 586, 2890, 1887, 430, 45799, 279, 9200, 3560, 430, 2254, 21126, 315, 2890, 8854, 304, 1057, 10977, 11, 505, 19019, 30438, 311, 264, 28522, 311, 10494, 1057, 3090, 11, 15926, 11, 323, 3805, 6220, 13, 1115, 4121, 26420, 7191, 25452, 369, 682, 220, 18113, 9919, 612, 25861, 304, 22108, 13, 362, 22514, 2254, 586, 2890, 2077, 374, 1057, 12474, 8333, 323, 26420, 264, 39345, 38298, 627, 44, 6430, 6401, 8471, 323, 16607, 198, 2746, 499, 477, 264, 10456, 832, 527, 20558, 11, 4587, 1440, 430, 499, 527, 539, 7636, 13, 2684, 527, 1063, 2294, 5070, 1618, 25, 9722, 261, 19, 10200, 916, 14, 2366, 16, 14, 93221, 79505, 59392, 9976, 90911, 76969, 1090, 3509, 32413, 46784, 36947, 16183, 32539, 198, 2028, 20770, 374, 6319, 311, 5471, 32487, 8427, 9349, 555, 86644, 39242, 323, 2349, 304, 1274, 889, 11682, 477, 1253, 11682, 872, 32487, 8427, 13, 1472, 649, 1505, 810, 2038, 520, 220, 605, 998, 605, 50222, 32539, 2726, 477, 555, 8260, 220, 23873, 12, 24809, 12, 16546, 16, 627, 9241, 311, 21335, 198, 2746, 499, 527, 3025, 311, 3041, 311, 3885, 2391, 420, 892, 11, 358, 15253, 499, 311, 1427, 311, 7634, 430, 527, 3318, 311, 1520, 1884, 1455, 11754, 555, 20562, 12, 777, 25, 9722, 261, 19, 10200, 916, 14, 2366, 16, 11505, 2492, 94600, 12, 548, 64992, 4791, 50570, 7716, 974, 63498, 12, 32157, 14656, 1824, 26664, 12, 777, 76969, 40, 1101, 15253, 499, 311, 33009, 311, 279, 2768, 11351, 430, 527, 23387, 304, 19739, 12437, 990, 25, 9722, 261, 19, 10200, 916, 14, 2366, 16, 14, 70353, 94600, 12, 548, 97202, 4210, 3502, 3880, 33211, 12, 39868, 29721, 76969, 2170, 2744, 11, 656, 539, 39666, 311, 5662, 704, 311, 757, 449, 4860, 477, 10742, 520, 2613, 36587, 916, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 1915, 89205, 315, 279, 10181, 315, 66102, 2508, 25, 2362, 323, 502, 11543, 198, 1915, 990, 374, 279, 1925, 2592, 315, 502, 7384, 11, 902, 527, 279, 2324, 94003, 315, 279, 8198, 315, 39211, 2508, 13, 18185, 279, 907, 315, 69637, 15661, 323, 279, 9904, 315, 6931, 990, 11, 5762, 304, 51677, 323, 18624, 15661, 11, 39211, 2508, 4250, 12178, 2085, 502, 45215, 811, 8405, 6617, 22540, 449, 3769, 6029, 315, 279, 3347, 13, 1561, 2115, 7224, 60131, 1274, 389, 311, 4933, 502, 4860, 922, 279, 3347, 323, 15253, 279, 49179, 315, 264, 810, 28254, 323, 49973, 1964, 1684, 315, 1690, 13970, 44247, 27000, 304, 69637, 61386, 1385, 13, 578, 1614, 315, 39211, 2508, 304, 904, 3224, 374, 11075, 311, 264, 24779, 13112, 555, 279, 2237, 315, 5820, 323, 279, 5528, 1511, 304, 2115, 3495, 627, 11769, 1060, 279, 10181, 315, 66102, 2508, 2942, 4861, 13489, 220, 1272, 31727, 6055, 323, 2115, 7411, 11, 902, 6920, 704, 2115, 990, 520, 6732, 682, 927, 279, 18455, 315, 7665, 8524, 11, 304, 3738, 5789, 315, 88810, 780, 8524, 11, 439, 1664, 439, 304, 10913, 13936, 11, 304, 17355, 36684, 89490, 309, 689, 11, 304, 3765, 31764, 1394, 689, 11, 279, 61811, 323, 304, 279, 3165, 1220, 655, 4469, 9683, 82179, 6438, 13, 18185, 279, 84140, 6532, 304, 279, 7471, 315, 45215, 811, 304, 1510, 4787, 11, 279, 2115, 26969, 315, 279, 10181, 527, 13205, 304, 1778, 264, 1648, 439, 311, 6106, 430, 61386, 1385, 505, 264, 7029, 87634, 2134, 505, 279, 28636, 11165, 6043, 66470, 311, 279, 6617, 11639, 649, 387, 20041, 4028, 264, 7029, 54001, 3158, 315, 88177, 689, 13, 4314, 26969, 3504, 69637, 6732, 315, 13882, 61469, 4595, 2737, 11165, 6043, 66470, 29135, 11, 1069, 266, 293, 27403, 8649, 6183, 7709, 5990, 505, 279, 36684, 66470, 323, 4275, 66470, 18852, 11, 55763, 1474, 3171, 505, 279, 45967, 13381, 11, 21968, 49974, 11, 6896, 12184, 9717, 82, 11, 19624, 6012, 323, 2700, 45218, 315, 279, 68533, 4261, 11, 42108, 45704, 323, 279, 6183, 7709, 5990, 315, 42108, 8690, 25861, 11, 1647, 2352, 552, 323, 10390, 1302, 505, 42108, 5444, 57512, 88, 13, 1115, 17009, 5825, 10015, 2038, 922, 1063, 315, 279, 7224, 11953, 704, 304, 220, 1049, 21, 4235, 1049, 24, 13, 578, 2875, 9908, 555, 279, 20965, 539, 1193, 21782, 279, 3135, 315, 279, 5652, 2115, 990, 719, 1101, 20461, 279, 26431, 315, 502, 14035, 369, 1057, 4689, 8830, 315, 279, 13042, 11618, 315, 279, 3347, 11, 369, 23524, 14154, 34775, 11, 42108, 5415, 323, 13970, 4455, 902, 3952, 2035, 3892, 24552, 4227, 627, 644, 1917, 39211, 2508, 264, 3361, 2035, 374, 14902, 291, 311, 1317, 9860, 26969, 520, 3230, 6732, 8649, 8104, 31720, 61386, 1385, 477, 304, 902, 279, 69637, 2317, 11, 14154, 14726, 477, 3769, 52448, 69153, 527, 5423, 1664, 2320, 52202, 13, 6104, 14691, 279, 14135, 902, 3952, 6211, 304, 279, 19953, 4261, 315, 11469, 1317, 5098, 2115, 1816, 38737, 369, 279, 4007, 315, 11165, 6043, 66470, 29135, 11, 68533, 9919, 315, 279, 4892, 40870, 292, 5654, 323, 16036, 36282, 304, 42108, 42076, 11, 279, 10181, 315, 66102, 2508, 753, 31727, 6055, 11, 304, 20632, 449, 51677, 323, 23978, 11, 527, 5131, 45215, 1113, 264, 1396, 315, 5016, 6732, 11, 1778, 439, 279, 11165, 6043, 66470, 3190, 520, 62531, 954, 74, 11, 921, 278, 2119, 411, 292, 323, 45967, 6830, 713, 6732, 520, 25672, 32595, 3458, 304, 12911, 11, 279, 68533, 9919, 315, 25566, 2852, 323, 2405, 276, 351, 11015, 11, 42108, 4723, 5746, 347, 323, 10846, 26775, 1394, 276, 13, 66102, 5848, 40487, 12, 17602, 315, 420, 3169, 1304, 433, 3284, 311, 23564, 3544, 13230, 12624, 26470, 323, 1243, 3094, 555, 3094, 311, 2867, 279, 44397, 93170, 315, 45704, 323, 279, 6932, 315, 14726, 927, 3544, 5789, 11, 311, 6667, 323, 49229, 60826, 23205, 439, 28111, 1154, 315, 7384, 323, 311, 7417, 3495, 12823, 1701, 3217, 323, 6677, 315, 279, 3230, 17910, 315, 264, 2816, 8767, 41165, 13, 14727, 49053, 3135, 12457, 304, 3293, 1667, 1501, 430, 279, 4754, 315, 1778, 1664, 22015, 6732, 374, 3117, 505, 39019, 323, 430, 279, 5912, 9546, 315, 12074, 520, 1401, 69637, 6732, 8625, 264, 16996, 2449, 304, 279, 8244, 8446, 369, 2115, 990, 627, 1966, 279, 1023, 1450, 11, 369, 279, 6992, 4500, 315, 39211, 2508, 11, 439, 13118, 315, 904, 1023, 26434, 11, 4442, 315, 5216, 323, 502, 9021, 527, 7718, 11, 439, 527, 13865, 311, 22477, 1884, 13970, 18852, 323, 54001, 13918, 315, 279, 3347, 11, 902, 527, 779, 3117, 2697, 3967, 477, 539, 9621, 520, 682, 13, 763, 2015, 311, 4933, 502, 4860, 922, 279, 3347, 11, 459, 39211, 16549, 2011, 387, 3025, 311, 23075, 279, 33464, 315, 1884, 6732, 449, 5144, 902, 527, 2736, 32620, 9749, 304, 69637, 29085, 13, 362, 17550, 6727, 315, 502, 97539, 6732, 3629, 3727, 433, 3284, 311, 75224, 323, 16805, 13042, 44247, 323, 13970, 4455, 11, 902, 2643, 6062, 617, 14958, 4994, 1057, 2115, 315, 11376, 422, 1193, 990, 315, 264, 8776, 3169, 1047, 1027, 11953, 4741, 13, 9176, 315, 279, 3495, 7224, 11953, 704, 555, 31727, 6055, 505, 279, 10181, 315, 66102, 2508, 304, 3293, 1667, 617, 1027, 20034, 520, 28462, 31839, 311, 7491, 1884, 1054, 96315, 2490, 863, 315, 279, 3347, 11, 902, 3156, 6051, 1047, 1027, 33251, 304, 1057, 6677, 13, 32323, 315, 420, 3169, 11, 1455, 315, 902, 1051, 70764, 555, 279, 8690, 14584, 41582, 11, 279, 8690, 5114, 369, 87345, 323, 279, 8690, 5114, 369, 14967, 8483, 11, 617, 10675, 36684, 66470, 6183, 7709, 5990, 304, 279, 1069, 266, 293, 27403, 315, 279, 17229, 1147, 11, 45967, 6830, 713, 44397, 1908, 45704, 304, 279, 6233, 404, 2439, 315, 23223, 11, 7447, 12, 81518, 36282, 315, 2410, 505, 279, 21943, 26572, 304, 279, 8582, 25501, 315, 279, 4418, 11, 323, 264, 58953, 55763, 79255, 505, 279, 1176, 4376, 315, 279, 358, 89785, 9827, 304, 279, 35487, 52647, 10901, 5849, 68, 13, 362, 3682, 1567, 369, 279, 69637, 1917, 574, 279, 18841, 315, 6732, 315, 279, 10846, 81331, 21023, 304, 423, 425, 24986, 2001, 279, 30758, 6029, 315, 3823, 17516, 2949, 279, 18455, 315, 1057, 3224, 627, 791, 7138, 315, 2115, 39211, 2508, 304, 279, 6617, 1917, 374, 1694, 27367, 810, 323, 810, 555, 17629, 45215, 811, 11, 304, 902, 279, 6727, 315, 3495, 26470, 690, 387, 11075, 555, 9256, 20034, 520, 279, 46643, 315, 61386, 1385, 11, 902, 3621, 311, 387, 304, 26467, 743, 16038, 369, 6617, 8246, 13, 763, 279, 1176, 13515, 315, 420, 9478, 2391, 279, 8246, 30845, 11, 279, 8244, 13112, 315, 17629, 45215, 811, 304, 8524, 574, 3117, 7191, 1109, 430, 315, 2115, 26969, 11953, 704, 2949, 279, 12914, 315, 32227, 14584, 7224, 13, 763, 420, 6671, 459, 30883, 1205, 574, 311, 6106, 459, 22281, 2237, 315, 17629, 45215, 811, 439, 3117, 439, 38152, 574, 11920, 11, 430, 12624, 9021, 1288, 387, 4613, 449, 810, 16437, 323, 430, 35416, 1288, 387, 7263, 304, 889, 1051, 13171, 539, 16632, 315, 279, 11156, 14975, 2631, 11, 719, 889, 1051, 1101, 3025, 311, 17210, 311, 279, 12624, 23692, 315, 69637, 7384, 13, 45503, 39211, 2508, 45179, 555, 7411, 505, 279, 10181, 1990, 220, 1049, 21, 323, 220, 1049, 24, 3984, 9024, 10708, 369, 95935, 3544, 5789, 315, 14154, 323, 42108, 17516, 11, 369, 24834, 4183, 6732, 2949, 279, 2860, 3158, 323, 369, 90300, 1139, 7634, 430, 304, 19664, 4787, 1053, 617, 1027, 5107, 369, 39211, 22012, 311, 2680, 320, 2000, 3187, 1139, 279, 8792, 961, 315, 18526, 9919, 449, 264, 29050, 20545, 315, 6617, 14016, 570, 39995, 402, 811, 315, 420, 3169, 1903, 433, 3284, 311, 1304, 24779, 31003, 304, 279, 4007, 315, 42108, 25861, 11, 1778, 439, 113381, 48558, 68411, 11, 36011, 11, 4723, 5746, 347, 11, 4487, 337, 729, 74, 323, 23223, 11, 323, 311, 10765, 5016, 69637, 69125, 5938, 449, 279, 8406, 315, 4892, 40607, 944, 42076, 555, 279, 44539, 3145, 11, 2737, 3148, 7951, 10522, 304, 113381, 48558, 68411, 323, 23838, 30600, 315, 68705, 304, 36011, 13, 66102, 22012, 617, 1027, 3025, 311, 6994, 264, 6945, 315, 8767, 9987, 4595, 315, 42108, 55763, 6732, 304, 279, 60532, 355, 11, 2391, 45215, 811, 304, 279, 10353, 4245, 311, 387, 49886, 1306, 279, 8246, 315, 279, 1901, 640, 351, 17055, 37081, 2265, 2410, 5594, 367, 11, 311, 6667, 15525, 7384, 369, 279, 4007, 315, 14154, 323, 42108, 17516, 323, 2523, 261, 661, 32006, 2949, 279, 6617, 27930, 5859, 13584, 17593, 320, 35627, 6460, 2394, 29578, 570, 11361, 311, 17629, 45215, 811, 264, 502, 8197, 374, 27115, 1694, 5918, 709, 369, 279, 4007, 315, 264, 4459, 2134, 315, 4860, 47031, 311, 14154, 323, 42108, 3925, 11, 902, 3156, 6051, 1436, 539, 387, 57098, 1606, 315, 279, 6996, 315, 8336, 627, 24901, 11, 3682, 4442, 617, 4529, 2035, 304, 3293, 11026, 304, 279, 6725, 315, 2115, 39211, 2508, 323, 279, 2134, 315, 12823, 323, 24198, 2561, 369, 433, 13, 19331, 369, 34118, 2115, 39211, 2508, 323, 7241, 369, 9455, 323, 25607, 6732, 617, 13241, 29057, 11, 439, 617, 20414, 311, 279, 14975, 315, 14154, 14726, 323, 6183, 7709, 5990, 323, 10886, 369, 279, 29772, 315, 2115, 7576, 13, 18766, 11156, 7766, 617, 1903, 3284, 3117, 810, 24473, 14975, 315, 14154, 6732, 323, 279, 9886, 315, 7576, 430, 9539, 8881, 9568, 3649, 323, 8617, 33482, 264, 2816, 753, 1772, 98033, 402, 367, 2324, 13, 578, 1005, 315, 1054, 82, 19245, 5528, 863, 369, 38936, 6183, 7709, 5990, 323, 279, 28786, 323, 10112, 4504, 315, 34751, 617, 72849, 810, 17879, 4526, 315, 69637, 7384, 323, 279, 33289, 315, 9214, 315, 2678, 14035, 505, 96078, 11, 902, 304, 279, 3347, 1053, 617, 9670, 709, 304, 65893, 93740, 13, 578, 3769, 1917, 315, 279, 3347, 706, 1027, 89804, 555, 264, 49068, 315, 8767, 30547, 6302, 627, 1966, 279, 1023, 1450, 11, 17629, 45215, 811, 2949, 3544, 5789, 617, 369, 279, 1176, 892, 1903, 433, 3284, 311, 3335, 4686, 6787, 315, 45704, 323, 55763, 12, 63211, 11, 902, 527, 779, 7718, 369, 312, 12, 46002, 872, 18751, 6932, 12912, 323, 279, 29079, 7471, 315, 6439, 323, 2523, 261, 661, 12659, 13, 83471, 38737, 323, 20632, 1990, 39211, 22012, 323, 3980, 79454, 11, 17614, 14248, 323, 39211, 45739, 276, 1705, 617, 59754, 264, 810, 24473, 1684, 315, 69637, 6732, 2949, 279, 2317, 315, 279, 11091, 6043, 78, 12, 89491, 13, 1561, 7224, 369, 279, 8990, 315, 7091, 1989, 304, 50766, 83, 1631, 301, 11, 279, 21968, 49974, 315, 279, 63649, 276, 17593, 11, 45704, 449, 264, 8045, 59402, 6932, 304, 279, 17355, 60532, 355, 323, 42108, 45704, 304, 3296, 301, 2689, 14486, 527, 682, 7060, 10507, 315, 279, 3851, 315, 13241, 5528, 304, 2115, 39211, 2508, 323, 279, 7342, 315, 502, 11156, 20414, 2225, 2949, 39211, 2508, 5196, 323, 520, 279, 1486, 1405, 433, 62370, 2286, 449, 1023, 49255, 13, 2435, 527, 8736, 709, 369, 603, 27949, 315, 264, 9615, 6617, 2115, 39211, 2508, 11, 539, 1193, 439, 264, 1648, 315, 7859, 279, 12472, 315, 7384, 12457, 323, 8617, 22822, 287, 15661, 315, 61386, 1385, 2736, 2561, 11, 719, 1101, 439, 264, 5965, 275, 8046, 502, 3445, 315, 6975, 922, 279, 3347, 11, 323, 8617, 3339, 1057, 6945, 315, 433, 810, 50401, 323, 13513, 627, 38294, 315, 279, 10181, 315, 66102, 2508, 198, 1073, 279, 8690, 16192, 315, 23199 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 31305, 220, 16, 12, 11160, 67680, 1413, 23314, 320, 679, 24, 12, 2366, 15, 8, 23998, 1193, 198, 11855, 52, 63937, 3697, 311, 3009, 1701, 4443, 2849, 611, 6505, 18084, 369, 990, 198, 2181, 706, 2586, 311, 1057, 6666, 430, 1690, 5687, 1005, 872, 4443, 2849, 18084, 311, 19570, 9200, 2038, 922, 4236, 323, 5255, 2683, 28423, 323, 32272, 627, 2028, 374, 18815, 369, 3892, 8125, 512, 791, 9474, 36659, 1054, 43456, 863, 682, 17320, 922, 4236, 323, 4443, 18084, 1436, 3719, 961, 315, 459, 8990, 11, 1436, 387, 35363, 11, 323, 5255, 1436, 387, 3917, 311, 586, 28957, 627, 791, 9474, 706, 539, 51578, 279, 1005, 315, 4443, 18084, 449, 279, 7354, 52, 627, 2520, 1521, 8125, 11, 584, 12428, 92213, 56, 35514, 11010, 682, 3697, 311, 46637, 1701, 4443, 2849, 18084, 369, 9474, 2626, 555, 279, 842, 315, 420, 2978, 1060, 627, 1687, 4284, 430, 11, 449, 5363, 311, 17320, 449, 38212, 11, 499, 6179, 320, 50998, 4669, 2613, 477, 304, 1732, 8, 279, 29193, 315, 279, 2768, 512, 2118, 34160, 311, 10742, 2231, 13544, 555, 279, 7354, 52, 11, 358, 690, 912, 5129, 1005, 856, 4443, 2849, 4641, 369, 9474, 10758, 13, 358, 3197, 311, 3009, 1701, 856, 4443, 2849, 4641, 439, 315, 5651, 220, 1627, 11, 220, 679, 23, 13, 5321, 1095, 757, 1440, 1268, 358, 1288, 1755, 311, 19570, 449, 499, 7314, 304, 6250, 49216, 1687, 4284, 430, 11, 449, 5363, 311, 17320, 449, 18105, 889, 527, 539, 74051, 11, 499, 6179, 1124, 315, 279, 2768, 512, 14305, 7354, 52, 374, 65774, 430, 584, 912, 5129, 1005, 1057, 4443, 2849, 18084, 369, 9474, 10758, 13, 3011, 3445, 430, 584, 1288, 539, 387, 69094, 832, 2500, 922, 4236, 323, 5575, 3966, 323, 369, 5217, 1862, 13, 5321, 1518, 279, 75829, 2231, 704, 555, 279, 7354, 52, 369, 810, 3649, 13, 358, 3197, 311, 3009, 1701, 856, 4443, 2849, 4641, 439, 315, 5651, 220, 1627, 11, 220, 679, 23, 13, 6914, 753, 4358, 1023, 5528, 315, 10758, 323, 3508, 477, 539, 584, 1205, 311, 5662, 704, 311, 1057, 38212, 369, 459, 10778, 369, 1828, 2978, 1060, 13, 1226, 649, 1101, 3137, 449, 279, 7354, 52, 41511, 323, 51013, 685, 2128, 3697, 369, 19351, 49216, 2520, 810, 11944, 2038, 323, 4754, 5897, 85450, 11, 4587, 1373, 389, 627, 35862, 10507, 315, 4443, 2849, 4641, 1005, 2997, 512, 6806, 33951, 3046, 1701, 4443, 2849, 18084, 311, 1495, 1370, 59948, 69, 1362, 1147, 389, 872, 4443, 2849, 18084, 922, 4040, 32272, 323, 4442, 304, 16720, 198, 6806, 47802, 1701, 4443, 2849, 18084, 439, 13147, 19015, 994, 389, 2115, 23277, 198, 6806, 47802, 323, 1370, 59948, 69, 1362, 1147, 69094, 38212, 389, 4443, 2849, 18084, 2391, 58187, 304, 902, 814, 1205, 5217, 5687, 1862, 198, 6806, 47802, 11, 426, 13276, 2170, 11, 323, 1370, 59948, 69, 1362, 1147, 42247, 449, 832, 2500, 389, 4443, 1495, 14906, 311, 3493, 2038, 922, 5575, 31301, 323, 5066, 1862, 3966, 198, 6806, 47802, 323, 38212, 1701, 4443, 2849, 18084, 311, 3839, 5575, 28116, 505, 538, 311, 538, 198, 6153, 3892, 20954, 922, 4443, 2849, 4641, 1005, 2391, 7354, 52, 18362, 8925, 11, 3402, 9251, 323, 64004, 5230, 685, 8068, 16659, 13, 323, 75537, 449, 386, 15559, 11, 279, 7354, 52, 14035, 1521, 10742, 512, 791, 1005, 315, 4443, 2849, 18084, 706, 539, 1027, 51578, 449, 279, 7354, 52, 13, 1102, 374, 539, 6762, 311, 1755, 603, 311, 1005, 1057, 18084, 2085, 6300, 20448, 11, 5423, 994, 3885, 527, 3984, 2978, 18084, 13, 763, 5369, 11, 2085, 24345, 11, 912, 5718, 617, 1027, 9749, 369, 872, 6300, 1005, 627, 2803, 32764, 11, 279, 3142, 22293, 7658, 315, 22108, 7612, 430, 682, 2978, 17320, 2011, 387, 35363, 555, 459, 4033, 3335, 54516, 13, 63909, 11, 433, 1436, 387, 18784, 430, 1495, 6743, 18815, 2978, 2626, 2011, 387, 35363, 11, 323, 1884, 17320, 1253, 387, 3917, 311, 586, 28957, 304, 3717, 449, 264, 2764, 586, 7576, 1715, 13, 3234, 584, 2744, 5429, 1057, 17320, 449, 459, 8071, 9017, 586, 28957, 5380, 2746, 279, 11182, 706, 264, 4747, 922, 22755, 320, 269, 904, 1023, 3769, 8, 389, 701, 4641, 11, 814, 1253, 2610, 311, 1518, 701, 2849, 4641, 311, 19874, 13, 6104, 499, 617, 264, 1314, 311, 26122, 311, 4430, 701, 2849, 4641, 320, 39870, 10434, 449, 264, 2383, 3725, 11136, 73869, 477, 7236, 705, 420, 1253, 2231, 499, 304, 264, 5107, 2361, 430, 1253, 387, 26310, 31890, 555, 539, 1701, 279, 4641, 369, 2978, 2626, 627, 791, 7354, 52, 11692, 706, 59035, 1057, 10742, 311, 13929, 37330, 323, 10455, 47685, 64845, 389, 12387, 25975, 13, 6104, 814, 617, 682, 38477, 311, 39427, 449, 603, 11, 814, 617, 539, 3686, 10666, 264, 6425, 369, 1268, 5687, 1288, 10299, 9200, 10758, 2391, 279, 2978, 1938, 627, 11855, 52, 2942, 4861, 369, 264, 2978, 1938, 4236, 23528, 198, 18977, 13285, 36564, 50, 4735, 84330, 60079, 198, 791, 8113, 362, 22498, 55309, 9306, 320, 2000, 279, 220, 18, 4771, 4261, 220, 679, 21, 12, 679, 24, 8, 9749, 264, 13093, 311, 3477, 2038, 323, 1304, 19075, 389, 4819, 74055, 12917, 323, 6975, 11, 902, 1253, 2997, 719, 539, 387, 7347, 311, 25, 502, 28271, 11, 45731, 323, 54696, 4819, 11, 4865, 77997, 369, 2536, 15144, 3039, 17274, 2754, 3037, 1705, 11, 14523, 1949, 16163, 11, 22033, 892, 11, 323, 20632, 892, 13, 578, 7580, 315, 420, 13093, 374, 311, 11886, 5435, 315, 54696, 25228, 2461, 11, 323, 374, 27800, 555, 22108, 3331, 42089, 11, 12735, 220, 3965, 36, 3857, 220, 605, 11, 439, 824, 279, 8113, 362, 5226, 13, 578, 2683, 315, 279, 7354, 52, 5664, 1096, 90951, 10554, 3697, 374, 311, 19570, 449, 3697, 11, 10765, 5435, 11, 323, 990, 449, 279, 8735, 311, 1913, 295, 2957, 872, 11223, 10105, 627, 791, 13093, 17610, 315, 3116, 3697, 21489, 555, 279, 68984, 323, 3116, 21489, 555, 279, 7354, 52, 13, 578, 3116, 7354, 52, 3697, 527, 25, 28217, 40491, 331, 320, 14934, 6082, 4242, 30169, 705, 1708, 10994, 1221, 1215, 320, 33, 12228, 15506, 30169, 705, 30928, 88252, 320, 49, 3200, 273, 39841, 323, 11688, 8092, 16549, 8, 323, 33467, 468, 1693, 31361, 392, 363, 320, 11855, 52, 4900, 570, 578, 1080, 79781, 77751, 527, 33467, 323, 45130, 480, 1468, 729, 11, 32724, 68984, 369, 45377, 323, 21579, 13, 578, 13093, 690, 3449, 922, 220, 21, 12, 23, 3115, 824, 1060, 627, 5501, 58014, 323, 9386, 1392, 198, 2170, 50794, 3663, 7859, 18651, 389, 872, 54696, 11, 16625, 555, 38952, 11, 4865, 77997, 11, 7649, 323, 13122, 8670, 11, 2917, 57333, 2349, 11, 72345, 8446, 2349, 11, 17226, 323, 6485, 5575, 3966, 11, 323, 1023, 9547, 11, 872, 5845, 311, 3493, 9250, 3600, 311, 4236, 374, 12207, 2781, 6879, 13, 74540, 398, 11, 22798, 54696, 374, 409, 33359, 50794, 529, 8824, 311, 10519, 3831, 3663, 4791, 30188, 12135, 449, 4236, 323, 5357, 389, 7524, 18637, 304, 72345, 6725, 627, 98982, 3046, 990, 2653, 323, 527, 17693, 11411, 311, 872, 4236, 529, 6975, 323, 1664, 33851, 13, 3277, 584, 2686, 54696, 4819, 11, 584, 1893, 279, 4787, 369, 50794, 311, 656, 872, 1888, 990, 11, 323, 584, 12192, 38656, 304, 12917, 323, 6975, 13, 2057, 420, 842, 11, 279, 7354, 52, 374, 33687, 555, 279, 2768, 16565, 323, 42356, 512, 12, 1226, 16044, 279, 9257, 20057, 315, 9250, 12917, 323, 6975, 430, 5097, 2035, 304, 279, 3142, 31483, 315, 15978, 1074, 11, 323, 584, 33449, 279, 17966, 315, 11326, 51360, 13, 10355, 3046, 1205, 11542, 311, 10368, 48919, 323, 32022, 304, 872, 990, 2001, 311, 10737, 30676, 11, 2274, 872, 1866, 10696, 55180, 950, 5528, 11, 323, 8417, 1268, 538, 892, 374, 1511, 2001, 304, 2015, 311, 13750, 4639, 279, 4236, 304, 872, 58216, 627, 12, 1226, 12192, 323, 10726, 3927, 50794, 529, 1314, 311, 1005, 653, 40121, 18852, 323, 14523, 12862, 94730, 304, 18859, 449, 872, 6721, 48919, 11, 323, 584, 690, 990, 449, 1057, 12637, 7354, 52, 3697, 311, 6106, 430, 1057, 3697, 3663, 912, 16750, 11, 43661, 477, 6259, 11, 16287, 477, 42887, 11, 369, 51582, 420, 1314, 627, 12, 1226, 3619, 430, 6721, 4500, 374, 1455, 7524, 994, 433, 374, 72146, 16625, 1389, 994, 50794, 8881, 389, 872, 3966, 323, 16136, 304, 46620, 872, 6975, 13, 1226, 1862, 50794, 529, 1005, 315, 872, 6721, 32022, 311, 2680, 279, 5070, 430, 690, 1888, 1520, 1124, 1862, 872, 4236, 627, 12, 1226, 15763, 279, 907, 315, 502, 7620, 323, 16346, 11, 5423, 1884, 430, 3139, 704, 315, 72146, 25243, 13, 4452, 11, 2085, 17879, 15813, 315, 279, 5536, 315, 1521, 28271, 11, 814, 649, 17210, 311, 54696, 25228, 2461, 430, 3242, 4825, 50794, 529, 18000, 311, 8854, 872, 4236, 1664, 13, 6150, 38212, 1288, 8666, 449, 50794, 1603, 323, 2391, 279, 8292, 315, 502, 28271, 11, 311, 50460, 904, 8389, 5536, 389, 72146, 54696, 627, 12, 1226, 2980, 433, 48696, 430, 16195, 41300, 315, 72146, 54696, 2011, 1935, 1139, 2759, 539, 1193, 4865, 77997, 323, 538, 1404, 11, 719, 1023, 5199, 9547, 2737, 320, 8248, 539, 7347, 311, 8, 279, 20057, 323, 23965, 315, 4236, 529, 3966, 11, 2631, 828, 4526, 323, 13122, 11, 323, 279, 8903, 430, 7524, 16659, 323, 20632, 1397, 5217, 892, 627, 12, 1226, 3987, 430, 279, 6150, 10554, 323, 3697, 315, 279, 8792, 8735, 690, 990, 449, 279, 11552, 439, 8717, 311, 29115, 369, 279, 44032, 315, 1614, 323, 6918, 76053, 430, 43047, 9045, 311, 3493, 459, 9250, 6873, 369, 1475, 5575, 627, 12, 1226, 21137, 279, 1314, 315, 279, 11552, 311, 45925, 45663, 927, 3318, 4787, 1778, 439, 1884, 7633, 1618, 11, 2391, 5226, 24345, 11, 477, 520, 1023, 3115, 422, 4787, 2349, 627, 8140, 8815, 439, 264, 9323, 2001, 3639, 499, 649, 656, 198, 2028, 374, 459, 3062, 6776, 311, 19570, 323, 31335, 2212, 4819, 430, 527, 9200, 311, 1057, 27375, 439, 50794, 323, 279, 4367, 315, 1057, 990, 14789, 13, 1226, 1205, 5127, 311, 512, 12, 16838, 349, 449, 832, 2500, 922, 11774, 584, 3663, 304, 1057, 3318, 6439, 13, 3639, 527, 279, 54696, 4819, 304, 701, 2683, 11, 304, 701, 4857, 11, 4028, 279, 9474, 5380, 12, 10995, 553, 323, 5255, 9604, 7354, 52, 16659, 311, 28696, 420, 21976, 323, 22815, 1862, 17057, 7354, 52, 9045, 311, 842, 27639, 54696, 627, 12, 20474, 430, 892, 42834, 288, 527, 264, 24693, 3575, 315, 27639, 990, 18651, 323, 17078, 323, 539, 279, 14867, 315, 279, 3927, 72146, 13, 43044, 323, 1862, 701, 18105, 439, 814, 10368, 872, 6721, 51360, 304, 19301, 1268, 311, 1005, 872, 990, 892, 627, 12, 18042, 1295, 22498, 1957, 323, 4562, 44254, 304, 1862, 315, 9045, 555, 3927, 50794, 477, 5315, 315, 50794, 311, 4017, 54696, 311, 13579, 5990, 323, 10519, 1579, 4367, 3600, 311, 4236, 627, 11764, 9013, 11, 3041, 11302, 11, 323, 4430, 701, 7422, 922, 420, 3062, 990, 13, 9842, 311, 3927, 3697, 477, 3729, 682, 7354, 52, 3697, 315, 279, 5664, 1096, 90951, 10554, 520, 25, 2613, 36587, 916 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2118, 6882, 32718, 430, 4359, 1057, 20941, 27441, 439, 10748, 323, 14867, 1752, 374, 420, 25, 311, 1427, 1306, 477, 85411, 323, 9923, 4336, 304, 872, 35104, 323, 311, 2567, 57669, 505, 1694, 95869, 555, 279, 1917, 863, 320, 29184, 220, 16, 25, 1544, 4390, 791, 3485, 506, 22780, 367, 555, 7957, 374, 26907, 832, 315, 279, 1455, 51533, 12659, 315, 22125, 3432, 13, 578, 4751, 837, 1054, 3833, 32718, 863, 1288, 539, 387, 16365, 1618, 304, 279, 1890, 1648, 439, 279, 1917, 19170, 5370, 44230, 13, 1102, 1436, 1101, 387, 25548, 439, 11, 1054, 1904, 9115, 2676, 477, 837, 56357, 2029, 2100, 11, 1148, 374, 279, 837, 13901, 477, 56357, 430, 279, 3492, 315, 4359, 16964, 5380, 8607, 23289, 837, 56357, 311, 387, 23788, 11, 54560, 11, 24863, 11, 21630, 323, 14392, 279, 19229, 17377, 11, 24096, 8993, 7640, 323, 70042, 311, 1274, 13, 4314, 527, 912, 10712, 1695, 12659, 719, 2085, 2768, 1148, 7957, 706, 57759, 13909, 584, 527, 2103, 264, 1317, 1648, 505, 837, 75456, 13, 4427, 1524, 4510, 430, 837, 56357, 374, 1120, 922, 5496, 459, 31308, 323, 16033, 2324, 13, 7557, 912, 16930, 25, 9115, 2676, 323, 23693, 527, 54682, 50256, 304, 5496, 279, 9052, 2324, 13, 35272, 29786, 54466, 11, 1054, 2822, 3169, 315, 10597, 3600, 7318, 311, 279, 1611, 488, 649, 387, 315, 904, 39011, 11, 422, 584, 39332, 279, 30336, 2383, 315, 23693, 49216, 40, 617, 13468, 1274, 97458, 311, 1403, 69971, 13, 4427, 3802, 430, 39153, 2191, 323, 25664, 527, 279, 9052, 10844, 323, 23693, 374, 539, 1057, 12014, 13, 14636, 11, 814, 5357, 389, 279, 13836, 323, 39332, 279, 2547, 13, 26080, 2105, 430, 23693, 374, 682, 430, 13146, 323, 39332, 39153, 2191, 13, 15483, 1274, 5357, 389, 279, 2547, 323, 39332, 279, 13836, 13, 22125, 617, 2744, 11411, 264, 16930, 555, 39332, 287, 311, 1518, 264, 1732, 439, 264, 4459, 13, 35272, 54466, 1071, 11, 1054, 1687, 3060, 1518, 264, 1732, 439, 264, 13836, 2085, 264, 2547, 477, 439, 264, 2547, 2085, 264, 13836, 2029, 30545, 416, 750, 11, 39153, 2191, 323, 23693, 527, 18813, 3062, 13, 1226, 527, 2631, 311, 3449, 2225, 279, 18330, 323, 7106, 3966, 315, 264, 1732, 13, 5751, 4339, 617, 912, 907, 422, 584, 656, 539, 32367, 20461, 279, 3021, 315, 4359, 627, 3947, 527, 2380, 2574, 7957, 6267, 922, 837, 13901, 11, 31720, 10748, 323, 14867, 1752, 56357, 304, 279, 14254, 315, 4359, 25, 264, 8, 21815, 1306, 279, 477, 85411, 11, 293, 8, 36925, 2512, 315, 279, 9923, 4336, 304, 35104, 323, 272, 8, 56478, 57669, 505, 1694, 95869, 555, 279, 1917, 13, 7648, 22125, 527, 8010, 922, 10494, 5694, 3201, 505, 97706, 32097, 13, 1115, 5030, 374, 46728, 304, 12387, 6743, 323, 54466, 779, 26, 719, 1148, 922, 1057, 46096, 7119, 23693, 30, 1102, 374, 1071, 430, 279, 9923, 4336, 304, 279, 1561, 40214, 3115, 3287, 956, 617, 279, 11542, 311, 990, 323, 1862, 5694, 439, 814, 617, 3432, 26, 16472, 872, 71075, 374, 2731, 3432, 1109, 433, 3131, 574, 627, 791, 5357, 315, 420, 4652, 11, 9093, 11, 374, 389, 1054, 16751, 598, 9520, 889, 527, 2103, 279, 1455, 51533, 3857, 315, 1057, 4029, 3432, 11, 304, 34781, 315, 1694, 279, 1455, 83563, 13, 5046, 3388, 11, 420, 374, 539, 279, 49017, 922, 13901, 719, 1057, 6666, 311, 420, 4360, 11, 2085, 902, 1057, 56357, 311, 4359, 690, 539, 387, 10748, 323, 4686, 11, 649, 2646, 387, 62258, 13, 5751, 837, 10082, 304, 279, 10425, 10811, 3771, 649, 1193, 1121, 304, 1057, 6439, 279, 64050, 315, 5414, 3021, 311, 279, 3281, 275, 1088, 13, 32186, 374, 539, 264, 10597, 5820, 719, 264, 5496, 23693, 627, 3947, 527, 11990, 315, 477, 85411, 38067, 2212, 279, 1917, 3432, 11, 40666, 323, 653, 385, 2111, 13, 6781, 5604, 37, 6821, 430, 279, 1396, 315, 477, 85411, 31550, 374, 28448, 311, 5662, 220, 2096, 3610, 555, 220, 679, 15, 13, 763, 6890, 7636, 872, 1396, 374, 2212, 220, 717, 13, 2096, 3610, 13, 7429, 11, 6890, 706, 279, 7928, 1396, 315, 46060, 477, 85411, 1109, 904, 3224, 482, 323, 420, 1396, 374, 3685, 311, 2033, 304, 279, 1828, 4330, 1667, 627, 791, 13443, 315, 477, 85411, 304, 19278, 11, 1990, 17051, 315, 220, 868, 311, 220, 972, 11, 3585, 311, 264, 87028, 8903, 13, 1102, 374, 39223, 311, 5406, 430, 11, 1054, 39699, 389, 477, 85411, 2391, 420, 892, 315, 872, 6439, 617, 6982, 459, 13240, 220, 2031, 4, 315, 279, 13305, 842, 709, 304, 9977, 11, 220, 1399, 4, 315, 7724, 304, 50850, 11, 323, 220, 605, 12, 966, 4, 5379, 18639, 2029, 10541, 279, 11668, 1253, 13592, 11, 279, 17936, 323, 34973, 2144, 922, 1268, 477, 85411, 842, 709, 304, 9977, 11, 50850, 11, 18639, 323, 1524, 304, 1716, 9511, 374, 837, 304, 904, 3224, 627, 45600, 11, 584, 2197, 279, 3488, 11, 1148, 374, 279, 19035, 315, 279, 8993, 311, 279, 56467, 6439, 315, 279, 477, 85411, 11, 304, 67194, 311, 4359, 753, 3492, 30, 2209, 539, 279, 8993, 279, 1193, 18740, 315, 279, 832, 323, 1193, 837, 19048, 4359, 11, 6832, 1633, 7138, 374, 3021, 5380, 23274, 1306, 2582, 85411, 198, 791, 2768, 527, 279, 2380, 3445, 358, 30714, 311, 6725, 837, 13901, 439, 9932, 304, 7957, 220, 16, 25, 1544, 512, 64, 8, 578, 1888, 1648, 311, 1520, 477, 85411, 374, 555, 25375, 13, 1442, 1475, 9052, 3070, 87057, 832, 13036, 1855, 358, 5895, 422, 1070, 1053, 387, 904, 477, 85411, 2163, 304, 279, 1917, 13, 2650, 11364, 433, 374, 311, 11550, 264, 2478, 22125, 11, 889, 527, 1778, 264, 13987, 23413, 11, 48810, 477, 85411, 323, 7231, 1124, 46679, 3021, 8994, 3515, 2911, 315, 872, 1866, 0, 9930, 4359, 369, 1778, 6366, 1274, 0, 9576, 1752, 6699, 1288, 2980, 279, 26632, 315, 25375, 4856, 1109, 9861, 304, 46996, 323, 23023, 13, 1226, 1205, 311, 3619, 430, 279, 506, 22780, 367, 315, 7957, 374, 539, 5439, 311, 3674, 11351, 477, 48801, 5315, 26, 433, 374, 5439, 311, 1475, 9052, 889, 374, 264, 84795, 315, 3771, 10811, 13, 57243, 11, 584, 617, 33232, 1534, 279, 990, 315, 23693, 11, 28786, 1057, 6206, 1022, 3927, 12014, 627, 13622, 32538, 6, 13126, 25375, 374, 89019, 88968, 555, 4860, 922, 42922, 1389, 1054, 15346, 77, 1431, 856, 42922, 2216, 387, 2133, 311, 2911, 9405, 315, 856, 6680, 30, 43549, 1431, 430, 387, 264, 3575, 422, 358, 11142, 12671, 8489, 11, 13126, 420, 11, 279, 19229, 17377, 21667, 430, 584, 13520, 527, 279, 18306, 2911, 315, 4359, 1555, 10811, 3771, 320, 36, 764, 13, 220, 16, 25, 20, 570, 578, 10425, 539, 1193, 18306, 603, 439, 5414, 2911, 719, 1101, 6688, 603, 279, 2539, 3268, 315, 26419, 323, 1903, 603, 5414, 91401, 320, 53619, 13, 220, 19, 25, 20, 26, 12036, 13, 220, 1114, 570, 50487, 11, 304, 48810, 477, 85411, 323, 3339, 1124, 1057, 91401, 13434, 1431, 584, 4430, 279, 21507, 430, 584, 4036, 505, 4359, 30, 578, 10425, 706, 33944, 757, 449, 1403, 26419, 320, 44466, 2678, 6980, 8, 719, 1306, 1694, 23959, 555, 420, 54250, 11, 358, 617, 20250, 311, 11142, 459, 13036, 1139, 1057, 3070, 13, 358, 4510, 1070, 374, 912, 1023, 10728, 1648, 311, 1427, 1306, 477, 85411, 1109, 555, 872, 25375, 555, 1139, 9052, 8689, 627, 65, 8, 578, 1828, 1888, 1648, 311, 7945, 477, 85411, 374, 555, 279, 2254, 31012, 4737, 872, 12014, 13, 12220, 279, 1561, 40214, 3115, 1070, 1051, 912, 3674, 11351, 320, 6269, 29967, 8, 477, 13036, 1154, 439, 584, 617, 3432, 13, 7357, 8993, 574, 264, 3674, 5502, 323, 3952, 279, 12014, 315, 10695, 279, 83563, 323, 279, 477, 85411, 13, 7570, 2391, 279, 6278, 961, 315, 279, 2132, 9478, 11, 279, 17496, 4526, 315, 279, 8993, 574, 4529, 15871, 311, 1520, 279, 8009, 323, 279, 477, 85411, 13, 9441, 44068, 6952, 273, 469, 13, 95941, 4511, 35871, 430, 520, 279, 842, 315, 279, 8993, 63349, 11, 1054, 20670, 5616, 3952, 709, 264, 4526, 369, 12576, 311, 9923, 4336, 323, 477, 85411, 11, 279, 14363, 11, 279, 28240, 11, 323, 40721, 13, 578, 6574, 574, 1243, 27292, 11, 323, 682, 279, 1274, 1903, 872, 1648, 311, 872, 10632, 49216, 4071, 3432, 1268, 374, 279, 17496, 10209, 1511, 304, 1057, 31012, 30, 2209, 1070, 264, 39375, 311, 743, 10980, 505, 279, 8993, 753, 10209, 311, 1520, 279, 477, 85411, 323, 279, 83563, 30, 2650, 11364, 433, 1053, 387, 422, 279, 31012, 2586, 4741, 311, 3493, 3691, 11, 23756, 323, 6873, 311, 279, 3281, 275, 1088, 2911, 0, 58603, 11, 9987, 311, 1690, 11, 1524, 2391, 279, 10846, 40214, 3115, 264, 3361, 8305, 383, 574, 9408, 3131, 304, 2380, 1667, 311, 7945, 279, 477, 85411, 11, 9923, 4336, 323, 1023, 8009, 1274, 320, 1951, 332, 13, 220, 975, 25, 1591, 12, 1682, 570, 2650, 527, 279, 259, 411, 288, 315, 279, 31012, 1511, 3432, 30, 3234, 279, 31012, 1005, 264, 961, 315, 872, 259, 411, 288, 311, 7945, 279, 477, 85411, 323, 279, 3281, 275, 1088, 5380, 82800, 11, 584, 1005, 264, 2763, 315, 4359, 753, 3300, 369, 2574, 539, 9932, 304, 279, 54250, 11, 1093, 14016, 11, 7620, 11, 16659, 1981, 12380, 2637, 323, 39332, 35988, 433, 369, 1148, 374, 57759, 13909, 11, 1093, 10695, 279, 477, 85411, 11, 63628, 9923, 4336, 11, 8009, 323, 83563, 13, 578, 31012, 617, 311, 3041, 459, 2759, 311, 4359, 994, 279, 19971, 4131, 5304, 1124, 439, 311, 1268, 66713, 814, 617, 1511, 4359, 753, 3300, 13, 20474, 11, 4359, 706, 264, 2294, 4747, 369, 279, 477, 85411, 13, 6941, 12570, 922, 21058, 11, 1054, 32, 7126, 311, 279, 7126, 1752, 11, 264, 29315, 315, 9923, 4336, 11, 374, 4359, 304, 813, 27823, 51688, 863, 320, 21051, 13, 220, 2614, 25, 20, 570, 64530, 83085, 3384, 279, 1274, 315, 4359, 311, 11, 1054, 755, 408, 279, 5353, 315, 279, 7126, 1752, 863, 320, 3957, 64, 13, 220, 16, 25, 1114, 4390, 13699, 11, 1070, 374, 264, 58644, 10163, 505, 4359, 311, 279, 6164, 11, 1054, 7927, 60996, 527, 36723, 11, 41957, 315, 61667, 26, 814, 682, 3021, 76712, 288, 323, 33586, 1306, 21258, 13, 2435, 656, 539, 10726, 279, 5353, 315, 279, 7126, 1752, 26, 279, 57896, 596, 1162, 1587, 539, 2586, 1603, 1124, 13, 15636, 279, 10425, 11, 279, 58477, 92414, 11, 279, 75268, 3861, 315, 6921, 11, 50888, 25, 330, 25797, 11, 358, 690, 636, 16337, 505, 856, 54844, 323, 264, 53305, 7182, 389, 856, 14207, 863, 320, 3957, 64, 13, 220, 16, 25, 1419, 12, 1187, 570, 8840, 11, 1268, 17936, 433, 374, 430, 4359, 6880, 6164, 439, 5414, 14207, 1606, 814, 6056, 1193, 311, 80779, 3769, 2574, 323, 5510, 5694, 11, 3515, 912, 4747, 311, 2559, 369, 279, 5353, 315, 279, 477, 85411, 323, 279, 83563, 0, 578, 6164, 2011, 539, 1193, 387, 25429, 311, 4639, 323, 71721, 719, 1101, 311, 2512, 369, 279, 477, 85411, 323, 279, 83563, 320, 53619, 13, 220, 17, 25, 605, 570, 14910, 539, 279, 39571, 645, 48772, 5694, 311, 23788, 323, 69423, 315, 279, 3492, 2085, 39332, 287, 311, 2512, 369, 279, 83563, 30, 320, 93324, 220, 21, 25, 16, 12, 19, 340, 66, 8, 578, 1403, 3445, 9932, 3485, 304, 3411, 1306, 279, 477, 85411, 527, 4382, 323, 43303, 13, 578, 4948, 3445, 311, 1520, 477, 85411, 374, 555, 31692, 323, 12899, 13036, 1154, 13, 2057, 4430, 264, 2144, 11, 6376, 709, 264, 9879, 13036, 425, 7612, 5190, 42484, 323, 18651, 810, 5149, 13, 1442, 264, 9052, 3070, 374, 539, 10032, 477, 12153, 311, 11142, 11, 477, 279, 8993, 374, 46243, 477, 58271, 311, 1935, 1778, 264, 12014, 11, 814, 649, 520, 3325, 1862, 13036, 1154, 430, 527, 36297, 11411, 311, 279, 2512, 315, 477, 85411, 627, 10156, 264, 3492, 315, 28930, 3582, 25, 3234, 539, 7945, 13036, 1154, 2085, 264, 16994, 16865, 439, 1063, 315, 1124, 2643, 387, 9749, 704, 315, 45743, 45715, 323, 369, 4443, 11626, 13, 1102, 342, 7379, 2396, 856, 4851, 311, 1518, 6164, 315, 3738, 13036, 1154, 5496, 264, 6800, 2324, 1418, 279, 477, 85411, 1234, 872, 12014, 527, 51533, 11, 23114, 75298, 323, 6982, 912, 3021, 323, 4747, 13, 2030, 430, 1694, 1071, 11, 1070, 527, 5115, 264, 2478, 13036, 1154, 430, 1935, 1695, 2512, 315, 477, 85411, 323, 1521, 527, 28390, 315, 28771, 1862, 627, 8607, 22125, 2873, 311, 3194, 279, 2294, 7580, 315, 1694, 6924, 555, 279, 21507, 315, 4359, 13, 578, 7580, 315, 46035, 374 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2028, 1772, 574, 33230, 555, 264, 4068, 389, 459, 2362, 4617, 555, 23194, 24971, 414, 13, 11361, 11, 23194, 11, 369, 264, 2294, 3488, 323, 264, 13893, 4106, 8712, 627, 8586, 753, 1148, 568, 4691, 512, 13347, 51300, 12, 358, 574, 3411, 520, 279, 5419, 36853, 389, 264, 47025, 323, 3411, 520, 1202, 17685, 6070, 449, 430, 2653, 40085, 1099, 66394, 12235, 927, 279, 45274, 323, 4851, 13, 2100, 358, 574, 20910, 422, 499, 527, 10658, 264, 8987, 61868, 29232, 3249, 539, 21818, 264, 17889, 1139, 279, 305, 27403, 8271, 369, 264, 82126, 13419, 6689, 13, 358, 1440, 499, 7752, 323, 342, 1147, 2011, 387, 264, 837, 15785, 1543, 304, 3339, 1778, 264, 6689, 1196, 619, 77, 1431, 420, 3665, 279, 305, 4214, 389, 2225, 11314, 315, 279, 47025, 369, 57338, 810, 13339, 6924, 1109, 39928, 505, 279, 17889, 5674, 5380, 4444, 2763, 315, 1148, 358, 4344, 2133, 311, 3350, 1457, 706, 1027, 5439, 1603, 11, 2225, 555, 757, 323, 555, 3885, 1524, 810, 26611, 520, 26073, 420, 13, 24941, 449, 757, 422, 499, 2736, 1440, 420, 11, 323, 2733, 1949, 311, 3085, 701, 1866, 1988, 323, 18463, 13, 1763, 5451, 315, 682, 11, 439, 3117, 439, 358, 4344, 11920, 1070, 527, 1193, 1403, 55586, 369, 264, 13339, 40827, 311, 9229, 4367, 13339, 11, 5423, 505, 279, 305, 4214, 1981, 304, 50659, 323, 3242, 266, 1873, 13, 2684, 374, 912, 1023, 2944, 311, 2231, 264, 17889, 1139, 279, 305, 4214, 477, 1203, 496, 2690, 13, 14144, 369, 279, 1314, 6689, 323, 1935, 433, 13, 14521, 1148, 701, 6166, 323, 17889, 690, 656, 11, 323, 2231, 430, 990, 4716, 499, 11, 4856, 1109, 4560, 311, 990, 2403, 433, 627, 2170, 3117, 439, 2010, 15300, 11, 358, 4070, 24891, 389, 420, 1603, 11, 719, 279, 5740, 1584, 374, 430, 279, 15635, 315, 1778, 264, 6689, 3117, 63074, 279, 3284, 7720, 627, 1271, 3240, 449, 11, 264, 47025, 753, 8271, 374, 12309, 2678, 11, 5423, 422, 499, 3207, 539, 10658, 7833, 1523, 389, 433, 13, 5659, 264, 4725, 6689, 9392, 11, 279, 2218, 3158, 374, 1193, 264, 2478, 15271, 520, 1455, 320, 1820, 14071, 389, 420, 6685, 374, 264, 14470, 18250, 13340, 315, 279, 2218, 3158, 369, 264, 13419, 11, 8271, 6689, 570, 362, 2678, 38664, 304, 279, 6689, 22165, 649, 1121, 304, 264, 28201, 11, 296, 2706, 287, 27653, 1981, 3060, 33812, 279, 47025, 753, 19689, 323, 72188, 56429, 11, 82356, 11, 477, 6548, 13, 5884, 315, 1521, 34254, 690, 1121, 304, 264, 1317, 11, 6435, 4648, 11, 323, 690, 1304, 15194, 323, 13654, 4661, 12266, 13, 763, 2875, 11, 433, 753, 264, 2216, 3958, 5873, 11, 8994, 279, 2144, 430, 1070, 527, 1690, 1274, 704, 1070, 889, 2103, 47177, 555, 433, 627, 791, 5811, 430, 264, 1054, 19045, 15785, 1543, 1288, 617, 912, 3575, 449, 430, 6689, 863, 374, 48008, 11, 1606, 433, 3250, 1431, 1935, 1139, 2759, 832, 9200, 2144, 13, 362, 2218, 520, 279, 2134, 374, 53735, 11, 1418, 459, 10065, 374, 539, 627, 2181, 753, 539, 2653, 369, 264, 26611, 15785, 1543, 311, 2231, 17889, 1306, 17889, 1139, 264, 2380, 25224, 2218, 11, 1524, 520, 220, 1041, 14006, 13, 578, 2218, 690, 2744, 387, 304, 7041, 279, 1890, 7858, 11, 520, 279, 1890, 6138, 11, 323, 279, 1890, 9392, 13, 9843, 264, 32671, 706, 279, 30126, 315, 279, 6689, 1523, 11, 433, 753, 32367, 17392, 13, 9580, 279, 42266, 11, 2585, 701, 27027, 11, 10299, 279, 8346, 6958, 11, 323, 499, 4805, 2231, 279, 17889, 1314, 1405, 499, 1390, 433, 1475, 3254, 892, 627, 4071, 264, 5496, 2218, 11, 1778, 439, 264, 47025, 11, 374, 2646, 6724, 2103, 13, 47966, 527, 304, 6926, 11633, 11, 323, 433, 753, 6220, 311, 2019, 430, 912, 961, 315, 459, 10065, 753, 2547, 11031, 810, 1109, 1202, 2010, 13, 3639, 753, 810, 11, 1884, 19567, 690, 5101, 6724, 4288, 311, 459, 22842, 11, 779, 18912, 279, 19567, 323, 279, 6689, 374, 539, 26569, 13, 362, 37693, 10065, 374, 15320, 74150, 311, 9302, 11, 8492, 22348, 11, 323, 83629, 56688, 11, 323, 682, 315, 1884, 25481, 1121, 304, 2010, 19567, 627, 2688, 1193, 1587, 279, 2010, 3118, 264, 17436, 11, 7366, 2218, 11, 433, 753, 1101, 23712, 555, 1063, 5128, 12314, 17685, 13, 578, 35113, 3727, 279, 1099, 29400, 12, 1787, 320, 1820, 20858, 8, 1427, 1093, 264, 11071, 315, 5684, 555, 12593, 13, 2684, 527, 7621, 19300, 389, 264, 47025, 753, 35113, 11, 719, 814, 3207, 539, 3544, 13, 763, 5369, 311, 279, 33638, 8333, 315, 420, 17685, 11, 279, 18067, 10194, 27030, 315, 264, 47025, 753, 2010, 1304, 369, 264, 34553, 5536, 7479, 11, 323, 649, 84040, 279, 4907, 315, 264, 17889, 13471, 320, 59178, 1093, 264, 1841, 75039, 570, 358, 1440, 315, 520, 3325, 1403, 11, 1633, 15062, 8336, 889, 617, 70904, 1579, 41503, 34164, 1022, 315, 264, 47025, 753, 35113, 2085, 13419, 279, 10065, 627, 791, 5740, 1584, 374, 11, 1790, 2731, 6689, 2671, 3073, 627, 5451, 11, 279, 8776, 1054, 18207, 13631, 2234, 863, 6689, 11, 994, 10489, 16070, 11, 374, 25114, 323, 4062, 2085, 16781, 13339, 5674, 13, 1442, 5606, 5602, 279, 2835, 315, 17816, 753, 47025, 11, 499, 5602, 279, 10065, 6068, 389, 279, 7858, 520, 1077, 6689, 13, 3011, 17889, 4018, 279, 85648, 520, 279, 1948, 315, 279, 47025, 753, 4851, 11, 323, 1101, 57520, 709, 279, 10548, 315, 279, 45274, 13, 45965, 4814, 574, 7347, 311, 922, 2380, 477, 3116, 15271, 389, 279, 1022, 25034, 17308, 627, 13461, 994, 279, 4851, 13631, 2234, 6689, 3250, 1431, 1304, 459, 9888, 5622, 11, 433, 56452, 7612, 16781, 28848, 13, 21428, 311, 279, 73151, 454, 360, 55892, 1887, 5157, 4648, 5128, 1790, 2085, 4788, 11, 938, 68441, 279, 2547, 315, 24463, 660, 6680, 323, 6118, 21973, 279, 45274, 449, 6680, 13, 9601, 6067, 9495, 1523, 6288, 1306, 430, 627, 3947, 527, 1403, 1401, 8125, 3249, 420, 6689, 374, 779, 3629, 7524, 323, 7701, 11349, 13, 5629, 1022, 11, 279, 4851, 13631, 2234, 3158, 6209, 264, 3544, 5622, 10353, 320, 9274, 220, 23, 3502, 8696, 389, 459, 5578, 30387, 47025, 705, 323, 420, 374, 279, 961, 315, 279, 10065, 430, 6209, 279, 1455, 53735, 2218, 13, 91034, 323, 2010, 3351, 15320, 11, 719, 279, 15489, 3158, 28335, 311, 387, 14470, 4998, 3454, 11, 477, 311, 1304, 3544, 24981, 19567, 779, 430, 433, 753, 8831, 311, 4295, 627, 791, 2132, 2944, 374, 4382, 11537, 2065, 13, 35403, 1475, 40827, 706, 1027, 42100, 10820, 15846, 449, 279, 2217, 323, 4623, 315, 279, 4851, 13631, 2234, 3158, 13, 578, 2217, 374, 991, 2067, 5639, 291, 8800, 1057, 20663, 555, 14756, 9908, 11, 40827, 6873, 7384, 11, 6946, 11, 323, 1524, 49073, 529, 21633, 13, 1226, 1440, 1405, 420, 7858, 374, 11, 323, 430, 6677, 6276, 603, 1935, 9395, 323, 1304, 264, 6689, 2085, 279, 2132, 2427, 34401, 287, 323, 40017, 430, 649, 5353, 1690, 49073, 311, 1304, 264, 3958, 5597, 13, 1666, 358, 3371, 8403, 323, 26627, 49073, 11, 1054, 10156, 2231, 433, 4920, 813, 17308, 11, 323, 3041, 1461, 15123, 49216, 2170, 3117, 439, 279, 1099, 29400, 12235, 11, 422, 499, 3207, 1701, 264, 1695, 17889, 323, 14343, 61868, 11, 499, 4805, 5622, 279, 10065, 13, 578, 4788, 2643, 387, 449, 264, 9615, 3544, 11, 2362, 712, 277, 13, 3161, 264, 47025, 1093, 420, 11, 279, 28782, 374, 311, 1781, 1093, 459, 5438, 261, 13, 1472, 1390, 311, 3412, 701, 6689, 3156, 279, 10065, 6209, 264, 8502, 287, 90724, 9392, 11, 323, 1243, 499, 649, 2035, 701, 17889, 4920, 279, 1566, 20735, 11, 6590, 2785, 4741, 1139, 279, 13458, 1147, 627, 3947, 374, 2500, 3072, 430, 358, 2216, 1093, 1981, 279, 13272, 6689, 627, 2028, 832, 374, 1101, 264, 2766, 20733, 11, 719, 358, 1781, 279, 3575, 374, 810, 264, 1162, 315, 264, 6996, 315, 8830, 315, 279, 10065, 753, 78152, 1109, 4205, 775, 11, 3235, 449, 1063, 8060, 311, 3619, 430, 499, 617, 311, 1304, 459, 33142, 5597, 994, 499, 5268, 701, 6689, 13, 578, 13272, 6689, 374, 264, 2294, 5873, 1234, 279, 1314, 13463, 11, 719, 539, 779, 2294, 994, 2574, 7784, 1431, 10728, 13, 3011, 753, 994, 499, 3060, 5268, 539, 311, 6230, 11, 477, 4498, 1203, 389, 279, 4851, 13631, 2234, 3158, 627, 1966, 264, 47025, 11, 279, 5622, 10353, 369, 264, 13272, 6689, 374, 4661, 439, 2466, 439, 279, 4851, 13631, 2234, 3158, 13, 10435, 264, 1579, 41503, 17889, 304, 430, 10353, 11, 922, 42436, 1990, 279, 2385, 315, 279, 2487, 323, 279, 1486, 315, 279, 17308, 11, 323, 433, 690, 5622, 279, 10065, 1405, 433, 13656, 13, 1472, 4805, 3285, 279, 50112, 23125, 11, 13750, 51126, 1523, 279, 10065, 753, 8792, 23418, 1887, 13, 55371, 2547, 5865, 690, 3009, 4661, 22571, 627, 2675, 690, 539, 617, 311, 3839, 264, 13272, 64630, 47025, 13, 1442, 433, 8640, 1022, 11, 433, 753, 1606, 499, 13942, 13, 2684, 374, 264, 3544, 4850, 315, 1493, 389, 279, 6689, 13, 25619, 1579, 11, 323, 499, 4805, 3285, 279, 8271, 19646, 477, 4295, 279, 8271, 13, 35321, 1109, 430, 3135, 304, 264, 3194, 13, 25619, 3428, 323, 499, 4805, 3285, 279, 10160, 14086, 11, 1841, 354, 307, 65415, 11, 477, 23200, 1299, 54344, 13, 28636, 1109, 430, 374, 264, 9099, 26000, 27653, 477, 264, 4335, 3194, 627, 7979, 266, 4814, 449, 264, 13272, 6689, 374, 8965, 17832, 13, 1472, 690, 4762, 9229, 1063, 315, 279, 13272, 938, 12019, 11, 719, 430, 753, 264, 2678, 3430, 311, 2343, 304, 9473, 369, 264, 4062, 11, 4335, 5622, 627, 28892, 25, 578, 13272, 6689, 7612, 264, 6300, 9392, 323, 264, 24981, 2800, 11, 4869, 13, 1102, 753, 2103, 3345, 311, 279, 2010, 11, 779, 422, 499, 3207, 539, 15528, 3403, 499, 5326, 20129, 279, 16942, 477, 19689, 13, 578, 6425, 374, 4382, 13, 4418, 1431, 1935, 279, 6689, 627, 3112, 430, 753, 279, 5740, 1584, 904, 892, 13, 1442, 499, 3207, 539, 10882, 430, 499, 649, 2231, 279, 6689, 1314, 1405, 499, 1390, 433, 11, 1243, 1541, 1431, 6230, 13, 1102, 753, 264, 26434, 430, 904, 40827, 1288, 7491, 11, 719, 3117, 2288, 2478, 617, 46376, 311, 656, 779, 13, 1666, 264, 1121, 11, 499, 1518, 3958, 15300, 4529, 304, 90539, 477, 704, 315, 74424, 13, 25681, 358, 11112, 12491, 311, 6865, 505, 904, 40827, 374, 11, 1054, 2181, 574, 279, 1193, 6689, 358, 1047, 11, 779, 358, 1047, 311, 1935, 433, 18319, 198, 32, 10775, 40827, 2646, 706, 311, 1935, 264, 6689, 1981, 2646, 0, 578, 4382, 2144, 374, 430, 7000, 315, 603, 374, 2133, 311, 6917, 588, 422, 584, 1095, 279, 10065, 636, 3201, 627, 1687, 1253, 387, 25406, 11, 477, 584, 1253, 387, 4960, 2379, 291, 555, 1057, 23330, 61450, 11, 28292, 11, 477, 1023, 37643, 11, 719, 584, 527, 539, 2133, 311, 733, 30056, 13, 23371, 11, 584, 1253, 617, 7543, 264, 2763, 315, 3300, 369, 264, 19614, 11, 1193, 311, 387, 17011, 449, 264, 656, 27609, 1773, 648, 6689, 6776, 13, 1102, 1436, 387, 279, 38782, 315, 264, 19569, 13, 2030, 433, 374, 4276, 264, 5030, 315, 2324, 323, 4648, 311, 603, 13, 1102, 374, 11, 389, 279, 1023, 1450, 11, 264, 5030, 315, 2324, 323, 4648, 311, 279, 10065, 627, 1687, 527, 539, 704, 1070, 1606, 584, 617, 311, 387, 11, 584, 527, 704, 1070, 369, 10775, 11, 323, 433, 374, 1193, 31308, 323, 1314, 430, 584, 656, 279, 1888, 584, 649, 311, 1304, 279, 4648, 315, 904, 1847, 10065, 439, 4335, 323, 82126, 439, 3284, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 2181, 574, 7376, 3432, 430, 279, 38544, 37384, 42392, 16591, 9849, 706, 1766, 430, 279, 5942, 323, 34545, 315, 1511, 11499, 10633, 304, 4987, 8494, 374, 1054, 14617, 311, 6493, 12190, 7100, 7720, 311, 279, 4987, 13673, 4029, 9520, 449, 264, 54453, 31528, 5942, 12764, 25605, 304, 279, 3389, 220, 2366, 15, 82, 627, 791, 9849, 574, 743, 709, 555, 279, 4987, 13673, 10423, 304, 5587, 220, 679, 20, 311, 19874, 279, 4754, 369, 4987, 8494, 311, 16136, 304, 4726, 27501, 323, 33289, 315, 54944, 11, 70272, 315, 54944, 11, 11499, 2410, 9659, 323, 279, 5942, 323, 34545, 315, 59862, 323, 11499, 12571, 627, 70850, 11909, 617, 1457, 22066, 704, 922, 279, 14955, 315, 279, 12396, 627, 80268, 65687, 11, 21185, 36891, 17054, 315, 10170, 11, 12053, 323, 13581, 520, 64640, 3907, 323, 4846, 4900, 315, 279, 13673, 45435, 5114, 574, 264, 4562, 315, 279, 16591, 9849, 753, 33257, 45013, 10554, 627, 14305, 16996, 9455, 315, 279, 16591, 9849, 374, 430, 4029, 14771, 1053, 387, 7718, 311, 279, 6992, 4500, 315, 904, 11499, 10633, 11008, 7640, 2476, 383, 2795, 13, 1054, 2181, 2795, 3451, 6720, 9860, 5054, 5597, 28846, 11, 449, 52008, 1862, 520, 2225, 1614, 323, 6918, 3109, 5990, 11, 1053, 387, 264, 80884, 24535, 1102, 374, 5107, 311, 1518, 1268, 52008, 1862, 520, 2225, 5990, 1053, 387, 17427, 369, 4987, 8494, 1694, 810, 17693, 6532, 304, 279, 11499, 5064, 627, 17818, 8554, 430, 54944, 11935, 5131, 44072, 12309, 2697, 311, 4987, 8494, 13, 18185, 72523, 1729, 85778, 1694, 832, 315, 279, 7928, 54944, 24190, 304, 279, 1917, 11, 1202, 85974, 527, 922, 400, 19, 264, 1060, 369, 1855, 4987, 13673, 13, 578, 9849, 16008, 2697, 22199, 315, 2254, 8863, 315, 54944, 323, 12722, 81299, 430, 11499, 2410, 374, 539, 47379, 43303, 13, 578, 4593, 275, 71224, 1934, 304, 220, 1049, 22, 1766, 430, 5199, 586, 43121, 1053, 387, 4460, 311, 1304, 11499, 2410, 7100, 304, 8494, 49216, 14305, 1455, 6129, 14050, 304, 279, 9849, 753, 76220, 14955, 374, 430, 16998, 1288, 2980, 6376, 709, 8221, 439, 264, 9284, 369, 59862, 12571, 505, 5961, 1093, 6457, 11, 29389, 323, 4987, 12126, 2476, 568, 2795, 13, 1054, 791, 9849, 13919, 430, 420, 1436, 387, 264, 34235, 5784, 11, 719, 430, 16801, 374, 3196, 389, 28771, 32946, 922, 279, 39375, 315, 1884, 5961, 311, 2343, 369, 279, 17065, 315, 872, 12571, 49216, 2118, 77921, 6492, 555, 578, 8494, 10181, 4860, 1884, 32946, 323, 45537, 279, 5784, 1053, 4762, 539, 387, 34235, 13, 578, 9849, 1101, 8554, 3451, 19041, 527, 912, 10565, 4211, 369, 279, 8518, 8481, 315, 1511, 10633, 369, 34545, 13, 5884, 14050, 311, 3637, 323, 28490, 315, 1511, 10633, 304, 4987, 8494, 1053, 1397, 20038, 1990, 6130, 5961, 323, 2225, 279, 6918, 323, 1614, 17047, 24535, 3011, 374, 264, 2466, 81783, 11, 439, 374, 279, 68023, 430, 3451, 3852, 4500, 1053, 1397, 27877, 9293, 323, 14771, 6108, 5597, 28846, 11, 61708, 279, 4040, 12034, 323, 11704, 315, 15481, 11, 8870, 323, 56510, 10977, 89874, 70214, 279, 1934, 6835, 264, 2579, 3177, 369, 11499, 2410, 11, 264, 76220, 68705, 3177, 369, 24050, 54944, 11935, 11, 264, 2579, 3177, 369, 4726, 8863, 315, 54944, 369, 7637, 11, 1243, 264, 1633, 76220, 323, 17345, 15337, 68705, 3177, 369, 279, 16998, 3314, 3109, 753, 7434, 315, 6376, 709, 439, 279, 9284, 369, 11226, 13936, 753, 59862, 12571, 49216, 96640, 17054, 66916, 49195, 15362, 8483, 37946, 304, 279, 6011, 315, 28415, 323, 95803, 520, 31523, 258, 3907, 2795, 279, 1934, 10675, 1054, 626, 11465, 398, 1695, 9650, 3432, 505, 279, 16998, 16591, 9849, 1139, 279, 38544, 37384, 42392, 49216, 14305, 1925, 17102, 374, 430, 5199, 7100, 10708, 3073, 369, 279, 5942, 323, 34545, 315, 7543, 11499, 10633, 11, 38241, 11, 59862, 12571, 13, 1789, 1667, 8494, 706, 1027, 520, 279, 52301, 315, 11499, 5942, 5557, 1555, 433, 753, 1917, 94109, 18838, 24028, 28787, 2068, 520, 279, 13673, 38544, 10170, 612, 12053, 47843, 11, 2147, 790, 46, 49216, 48349, 29139, 6209, 264, 32654, 7080, 349, 32027, 11537, 449, 279, 18651, 315, 279, 3465, 11, 28040, 3217, 304, 11935, 323, 1063, 315, 279, 1455, 14791, 86278, 4787, 304, 279, 1917, 13, 32255, 11, 814, 1304, 264, 8147, 10824, 902, 6209, 9257, 21845, 311, 279, 1176, 1614, 477, 18455, 10032, 311, 3820, 709, 279, 8815, 13, 735, 46179, 311, 279, 23454, 484, 3109, 369, 13176, 1523, 279, 8850, 1474, 647, 388, 323, 3411, 311, 279, 3938, 369, 4987, 8494, 49216, 96640, 17054, 4488, 24934, 8188, 69, 11, 33468, 17054, 304, 5783, 71200, 25027, 19241, 520, 279, 3907, 315, 1561, 4987, 23782, 1071, 1054, 791, 16591, 9849, 753, 1934, 56030, 430, 11499, 18200, 374, 539, 54453, 31528, 304, 4987, 8494, 13, 4452, 11, 433, 61120, 2294, 36232, 369, 279, 6373, 323, 34545, 315, 25355, 84561, 1579, 11852, 323, 29539, 2237, 11499, 82320, 304, 4987, 8494, 13, 1102, 11815, 264, 10824, 315, 3485, 79255, 41653, 5942, 315, 9235, 272, 4707, 3871, 449, 26326, 3451, 98524, 529, 5942, 49216, 14305, 57916, 369, 420, 47379, 41273, 13155, 374, 73342, 11, 1694, 3196, 389, 279, 33776, 315, 82320, 5762, 304, 13643, 5942, 555, 5961, 449, 11499, 2410, 17789, 13, 578, 1934, 374, 539, 42132, 555, 279, 2144, 430, 912, 3224, 11, 539, 1524, 279, 7427, 11, 706, 779, 3117, 26399, 304, 4857, 323, 10565, 459, 26326, 12571, 10488, 49216, 17818, 14865, 311, 2686, 279, 3585, 9408, 555, 279, 8494, 10181, 11, 34685, 11, 369, 3187, 11, 3249, 11499, 5961, 1053, 2343, 311, 7637, 872, 82320, 994, 433, 1253, 387, 23917, 311, 10299, 1124, 520, 2162, 13, 578, 7100, 6492, 1120, 7922, 420, 13155, 374, 264, 3254, 220, 679, 21, 4007, 11, 1455, 315, 6832, 32946, 527, 539, 11224, 304, 279, 9849, 753, 1934, 13, 578, 9849, 35434, 279, 10711, 7720, 315, 420, 13155, 11, 1418, 22109, 311, 25670, 279, 7100, 15635, 315, 8494, 18646, 1579, 11852, 82320, 369, 11758, 315, 9214, 315, 1667, 555, 3445, 315, 653, 782, 1055, 14645, 323, 3674, 14673, 49216, 48120, 11641, 72564, 11, 264, 17054, 532, 37946, 520, 279, 27535, 61593, 13581, 10181, 11, 3907, 315, 27535, 323, 459, 21185, 36891, 17054, 520, 279, 3907, 315, 468, 980, 647, 647, 11, 2795, 1054, 2028, 1934, 1288, 539, 3493, 1790, 5353, 369, 54508, 24059, 43766, 3697, 315, 8494, 753, 463, 5392, 9834, 19865, 13, 1666, 449, 279, 3766, 4593, 275, 29384, 1934, 264, 13515, 4227, 11, 420, 1934, 3727, 2867, 430, 11499, 4907, 9659, 323, 4726, 10633, 8863, 2737, 70272, 323, 7543, 10633, 312, 21315, 690, 387, 6316, 32107, 304, 8494, 2085, 3682, 4442, 304, 279, 13673, 323, 1917, 3157, 49216, 2118, 68489, 398, 11, 279, 1934, 93018, 389, 1579, 11852, 11499, 12571, 5942, 439, 279, 6776, 369, 4987, 8494, 13, 1115, 374, 10535, 2728, 279, 11026, 1317, 1920, 320, 1527, 439, 4216, 439, 220, 3753, 19, 8, 369, 279, 38298, 304, 4560, 311, 1505, 459, 22281, 3813, 311, 3637, 8494, 753, 6484, 3428, 12, 323, 29539, 11852, 11499, 12571, 13, 1115, 21961, 449, 279, 9849, 753, 79397, 430, 904, 9070, 315, 11499, 7640, 1288, 617, 2225, 52008, 5054, 1862, 323, 279, 14771, 315, 279, 4029, 49216, 2118, 50571, 3217, 11, 5423, 304, 8494, 11, 323, 1101, 304, 1690, 1023, 5596, 315, 279, 1917, 2737, 279, 7427, 11, 27053, 1317, 11509, 323, 24716, 10742, 922, 279, 7296, 315, 28672, 11499, 82320, 6724, 25181, 505, 279, 4676, 369, 279, 1690, 24552, 2631, 13, 16644, 420, 11, 433, 1053, 387, 6762, 311, 3752, 1082, 904, 3109, 902, 16495, 311, 1825, 279, 1648, 311, 12571, 5942, 323, 34545, 304, 8494, 439, 520, 1888, 3451, 66, 61140, 788, 529, 323, 8530, 2753, 81867, 11, 439, 3451, 1225, 31205, 46337, 6, 113068, 2118, 15571, 311, 617, 279, 17879, 323, 74315, 18361, 555, 279, 16591, 9849, 2476, 2795, 29335, 473, 461, 8288, 2826, 11, 264, 19903, 8483, 41570, 520, 279, 4435, 38544, 10229, 13, 1054, 791, 28782, 9002, 16998, 8405, 5942, 323, 12827, 369, 1579, 11852, 11499, 82320, 374, 15325, 323, 45207, 389, 904, 12624, 323, 7100, 8197, 49216, 14305, 14955, 9002, 11499, 2410, 527, 29392, 2536, 88389, 83223, 11, 3582, 279, 26457, 1900, 4284, 430, 264, 810, 6928, 6945, 1253, 34044, 422, 8494, 5334, 6129, 922, 37647, 6962, 41353, 14278, 11, 323, 36050, 279, 958, 7898, 1990, 16998, 323, 279, 24024, 5415, 13, 1102, 374, 1101, 2073, 3988, 8389, 922, 2678, 71573, 2728, 1884, 10565, 323, 1234, 8246, 520, 279, 4545, 304, 5734, 11, 8524, 323, 32164, 49216, 58834, 12227, 7678, 11, 4969, 34259, 29483, 11, 16478, 315, 49796, 8494, 21972, 14829, 38544, 17005, 19482, 11, 27766, 10783, 315, 14031, 49, 38544, 12053, 80092, 12604, 323, 17136, 72235, 520, 279, 13673, 5165, 3907, 2795, 11, 1054, 791, 4987, 8494, 38544, 37384, 42392, 16591, 9849, 1047, 264, 7029, 7036, 11, 279, 4459, 315, 279, 11499, 10633, 11008, 574, 25078, 2737, 11935, 11, 70272, 11, 2410, 9659, 11, 323, 12571, 13, 578, 16591, 9849, 4036, 220, 14052, 37935, 11, 12263, 11499, 13077, 25355, 323, 5762, 220, 19, 4038, 315, 586, 45348, 449, 220, 4386, 6335, 28823, 505, 8494, 323, 25355, 49216, 14305, 14955, 1501, 430, 4987, 8494, 649, 21676, 5376, 1202, 20852, 304, 11499, 7640, 323, 555, 3815, 779, 12207, 7417, 279, 7100, 23460, 315, 279, 4987, 13673, 4029, 13, 38544, 2410, 706, 37647, 6962, 20748, 13890, 311, 1023, 3428, 20748, 14645, 1093, 10160, 323, 13238, 323, 433, 1053, 387, 24219, 311, 3197, 1457, 311, 6106, 1202, 18539, 49216, 2118, 16179, 539, 54453, 31528, 520, 3118, 11, 4245, 14918, 311, 279, 17910, 315, 279, 1510, 5165, 74456, 3157, 320, 45, 2783, 705, 1070, 374, 907, 304, 3515, 11499, 439, 459, 3072, 430, 649, 387, 31368, 387, 11798, 13, 15344, 85948, 71573, 320, 9691, 43427, 8, 1053, 387, 19411, 369, 2678, 57449, 1093, 4987, 8494, 49216, 35816, 374, 264, 7701, 34235, 6776, 311, 5813, 264, 5942, 12764, 369, 3728, 1511, 10633, 34356, 449, 264, 5129, 4751, 34545, 12764, 13, 8494, 1053, 43530, 264, 43839, 1697, 323, 6020, 8935, 555, 46927, 1023, 5961, 304, 8405, 264, 6425, 369, 1511, 10633, 49216, 31272, 315, 21972, 33468, 8626, 13, 1050, 4458, 6668, 22530, 12, 8989, 24752, 329, 1071, 1054, 40, 656, 539, 7655, 449, 279, 5224, 430, 3451, 3947, 374, 6625, 24811, 430, 86278, 34545, 374, 279, 1888, 11156, 6425, 369, 279, 34545, 315, 1511, 10633, 529, 320, 2879, 220, 5728, 11, 2199, 220, 845, 315, 279, 1934, 570, 1442, 433, 374, 779, 11, 3249, 1306, 922, 220, 2031, 1667, 374, 1070, 2103, 19815, 11249, 922, 279, 68507, 323, 7296, 315, 86278, 34545, 49216, 2118, 39706, 323, 5942, 315, 279, 6625, 7543, 11499, 10633, 374, 2133, 311, 8356, 3682, 12434, 323, 4868, 11774, 13, 358, 656, 539, 4510, 430, 4987, 56937, 477, 56937, 439, 264, 4459, 649, 387, 22954, 311, 4287, 34537, 264, 961, 315, 8494, 1139, 264, 11499, 12571, 10488, 369, 1023, 17089, 49216, 2118, 11458, 439, 584, 617, 9539, 11224, 304, 1057, 21142, 311, 3451, 791, 38544, 37384, 42392, 16591, 9849, 20182, 279, 1193, 20406, 1648, 4741, 374, 21967, 315, 264, 11499, 3709, 10670, 367, 12764, 3196, 389, 4534, 878, 40, 2864, 435, 2279, 13953, 10807, 88484, 12121, 14644, 68057, 15264, 320, 11042, 50641, 570, 15483, 13077, 690, 22472, 7701, 21503, 323, 1317, 62954, 11499, 12571, 7384, 323, 11, 520, 279, 1890, 892, 11, 690, 8356, 11191, 3392, 315, 4907, 320, 64465, 488, 570, 89874, 48349, 30245, 50641, 690, 387, 264, 1207, 42641, 1887, 11, 1949, 315, 11499, 9200, 488, 33788, 1778, 439, 430, 304, 91759, 677, 4010, 13, 30245, 50641, 649, 387, 1511, 21676, 369, 3709, 10670, 367, 315, 5426, 323, 5255, 6625, 11499, 12571, 320, 2656, 10633, 705, 304, 459, 57340, 11919, 11827, 1418, 17843, 11191, 15055, 315, 12205, 369, 4987, 8494, 2029 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 37, 6674, 9440, 946, 38242, 4716, 47358, 435, 77454, 12124, 198, 42469, 315, 264, 22036, 819, 3827, 1814, 80024, 198, 2028, 4652, 9922, 304, 279, 220, 6280, 21, 57628, 304, 77050, 13, 1102, 574, 5439, 555, 90227, 36177, 11, 264, 21102, 323, 4642, 4562, 315, 279, 13581, 449, 8884, 358, 1511, 311, 733, 12224, 287, 304, 279, 4216, 220, 4468, 15, 753, 13, 90227, 12439, 682, 813, 2324, 304, 4366, 323, 574, 264, 37946, 315, 279, 16591, 45903, 5848, 27670, 648, 88, 13, 1283, 574, 1101, 264, 5542, 5696, 889, 23980, 279, 61120, 389, 279, 7295, 9483, 3071, 783, 1584, 11, 323, 358, 1664, 6227, 832, 315, 813, 12224, 11714, 538, 9459, 1405, 568, 3782, 304, 323, 1071, 1054, 2675, 4805, 2646, 8101, 279, 1396, 315, 20229, 389, 2722, 625, 33780, 3061, 1900, 3432, 13, 358, 1047, 311, 3009, 279, 5542, 323, 617, 264, 1427, 2029, 1283, 2744, 11953, 813, 9736, 68797, 82, 304, 279, 22239, 4999, 6153, 813, 4648, 304, 220, 4468, 19, 264, 10477, 520, 432, 10602, 445, 5676, 71, 17334, 574, 5918, 323, 7086, 1306, 1461, 13, 9742, 311, 420, 10477, 374, 520, 3118, 5107, 627, 32, 7181, 389, 10846, 18099, 198, 8538, 13016, 1253, 539, 387, 11537, 449, 279, 2362, 1742, 315, 3300, 45297, 1511, 387, 2000, 279, 7140, 4024, 12395, 304, 220, 4468, 16, 13, 763, 2362, 3300, 1070, 1051, 220, 508, 559, 484, 826, 311, 279, 31123, 11, 5439, 439, 220, 508, 24572, 11, 8617, 264, 559, 9585, 304, 2362, 3300, 374, 220, 20, 502, 281, 768, 13, 2684, 1051, 220, 717, 44049, 552, 311, 279, 559, 9585, 11, 779, 220, 20, 559, 484, 826, 323, 4848, 281, 768, 11, 5439, 439, 220, 20, 14, 21, 67, 320, 67, 369, 281, 768, 8, 1053, 3432, 1053, 387, 220, 1544, 323, 264, 4376, 502, 281, 768, 11, 422, 13118, 584, 1047, 4376, 281, 768, 3432, 13, 362, 3117, 1626, 574, 264, 8502, 315, 459, 2362, 50169, 323, 264, 4376, 79, 18314, 539, 29392, 574, 4376, 264, 50169, 627, 12487, 584, 617, 311, 1935, 1139, 2759, 279, 907, 315, 3300, 304, 2019, 220, 7028, 15, 5552, 311, 11791, 954, 907, 13, 1442, 584, 2980, 1148, 7083, 16, 304, 220, 7028, 15, 1436, 3780, 11, 3432, 433, 3312, 988, 311, 922, 7083, 1490, 13, 2030, 422, 584, 29243, 433, 311, 5578, 24608, 1243, 279, 7216, 374, 87920, 7083, 10617, 627, 37, 6674, 9440, 946, 38242, 4716, 47358, 435, 77454, 12124, 198, 42469, 315, 264, 22036, 819, 15545, 1814, 80024, 198, 1383, 356, 3587, 13, 27597, 53, 20982, 198, 58, 697, 53313, 505, 19524, 578, 4410, 5567, 263, 323, 16591, 77050, 75682, 2476, 3297, 220, 1187, 339, 11, 220, 6280, 21, 11, 555, 3169, 8041, 315, 279, 12865, 933, 40, 1288, 13085, 1070, 527, 2478, 11, 422, 904, 11, 2759, 6603, 2163, 4920, 555, 279, 6721, 12224, 5594, 20964, 315, 279, 1566, 9478, 477, 315, 279, 4216, 1667, 315, 279, 3118, 832, 13, 26778, 315, 1057, 22036, 819, 33889, 323, 25861, 84312, 872, 3451, 267, 2084, 529, 1389, 323, 7170, 810, 1109, 832, 1389, 994, 3827, 1814, 2465, 574, 264, 24716, 4612, 11, 994, 279, 6696, 574, 14343, 311, 7236, 1855, 67219, 3515, 813, 1866, 2440, 627, 2181, 574, 856, 1695, 33415, 264, 2697, 1418, 4227, 311, 824, 817, 323, 49586, 459, 2759, 2363, 8774, 555, 279, 2103, 40746, 800, 13, 13222, 616, 3827, 1814, 80024, 11, 4491, 11291, 18063, 31994, 11, 1457, 22311, 11, 34833, 264, 89686, 11, 323, 3451, 267, 2084, 529, 304, 813, 24804, 892, 13, 1283, 6137, 813, 83616, 304, 279, 220, 9378, 15, 753, 11, 323, 59477, 922, 220, 7529, 23, 627, 791, 3504, 315, 279, 2363, 374, 13160, 19524, 578, 46586, 287, 8785, 9520, 323, 4871, 279, 3504, 374, 5439, 1054, 626, 41673, 57628, 323, 47966, 9520, 369, 56669, 2288, 1051, 45413, 323, 22563, 13, 5112, 11263, 30335, 323, 264, 4376, 6959, 315, 33689, 24166, 12, 1787, 92809, 11, 1778, 439, 1057, 2291, 69, 19568, 304, 264, 810, 41308, 398, 4325, 3521, 15556, 304, 11, 6376, 704, 279, 14463, 1389, 477, 520, 3325, 1063, 315, 1124, 11, 369, 682, 1051, 539, 12715, 1389, 430, 1051, 1903, 304, 1063, 220, 914, 1667, 71628, 311, 279, 6725, 13, 3861, 1053, 617, 3463, 430, 279, 892, 323, 5149, 6532, 304, 83616, 1053, 617, 1027, 14343, 30449, 279, 1938, 34366, 11, 1095, 7636, 279, 30401, 304, 14975, 627, 65542, 3674, 35869, 315, 279, 1938, 527, 10675, 304, 279, 14975, 315, 1063, 220, 18695, 8545, 20229, 315, 220, 4331, 9606, 11, 220, 843, 36460, 20229, 315, 220, 717, 9606, 11, 323, 220, 5925, 56669, 315, 220, 717, 9606, 13, 5046, 8545, 20229, 11, 279, 23229, 74795, 14971, 279, 1160, 449, 220, 5495, 10925, 11, 8272, 555, 220, 1806, 7997, 12404, 375, 377, 388, 11, 220, 1958, 10690, 41896, 4835, 320, 52877, 705, 220, 966, 6342, 18668, 388, 11, 220, 1419, 393, 383, 300, 1821, 323, 220, 508, 70906, 654, 2902, 30378, 13, 220, 972, 480, 71523, 11, 220, 1114, 735, 478, 54883, 11, 220, 806, 4366, 63931, 323, 220, 24, 6385, 2439, 1833, 449, 1023, 9606, 11, 2737, 279, 921, 1409, 11, 304, 32415, 5219, 13, 5046, 36460, 20229, 279, 100056, 374, 43780, 11, 1418, 520, 3325, 4848, 4366, 90329, 1051, 45413, 13, 3296, 3117, 279, 4279, 478, 36041, 278, 574, 279, 328, 87740, 11, 220, 2131, 1694, 41853, 369, 13, 38166, 36824, 11777, 11, 4848, 71883, 1900, 11, 2380, 13585, 288, 323, 2380, 31676, 5153, 11, 323, 264, 2478, 10535, 10099, 3779, 311, 279, 357, 2084, 753, 57749, 323, 13519, 279, 23330, 7640, 315, 1057, 40317, 323, 279, 24716, 348, 28523, 315, 3827, 1814, 2465, 627, 791, 41896, 4835, 11, 2225, 23229, 323, 10690, 11, 499, 1436, 636, 45413, 323, 22563, 369, 505, 220, 18, 24572, 311, 220, 717, 14, 21, 11, 323, 8965, 12365, 304, 420, 12399, 315, 7729, 1070, 574, 264, 31954, 369, 7729, 311, 10205, 555, 279, 892, 279, 270, 404, 46487, 2199, 374, 8813, 42852, 16448, 10405, 13, 5843, 68, 1636, 41896, 4835, 11, 902, 1051, 1790, 23087, 3913, 11, 28830, 505, 220, 23, 14, 21, 311, 220, 806, 24572, 11, 1418, 459, 74795, 753, 27296, 1051, 743, 709, 369, 220, 23, 67, 627, 20147, 12404, 375, 377, 388, 41829, 505, 220, 17, 14, 21, 311, 220, 1032, 24572, 11, 264, 8681, 3165, 15889, 2853, 220, 18, 611, 1389, 323, 279, 1633, 9024, 468, 894, 63440, 220, 19, 611, 1389, 662, 6342, 18668, 388, 1051, 1633, 5526, 323, 41829, 505, 220, 17, 14, 21, 311, 220, 23, 14, 21, 11, 449, 832, 4441, 315, 4848, 20229, 11, 19524, 449, 7795, 2476, 220, 966, 14, 14863, 362, 393, 383, 15969, 574, 33705, 520, 220, 868, 24572, 11, 1202, 27296, 220, 16, 24572, 11, 323, 4366, 63931, 520, 220, 18, 24572, 311, 220, 21, 24572, 627, 2181, 574, 304, 279, 7138, 315, 420, 4913, 311, 2035, 279, 37170, 315, 279, 20229, 315, 37693, 11, 422, 6994, 481, 11, 304, 279, 1890, 1162, 439, 279, 68006, 13, 14636, 574, 6982, 279, 70906, 654, 56423, 449, 30665, 1136, 11, 5348, 23414, 11, 477, 7834, 2785, 220, 1032, 611, 1389, 1174, 477, 449, 993, 6172, 220, 975, 14, 14863, 11579, 57712, 2853, 505, 220, 18, 14, 21, 311, 220, 23, 14, 21, 13, 50487, 11, 279, 735, 478, 3833, 449, 426, 27421, 574, 505, 220, 605, 14, 21, 311, 220, 717, 24572, 11, 449, 7834, 2785, 505, 220, 972, 14, 21, 311, 220, 508, 24572, 11, 323, 279, 17104, 73578, 911, 483, 43961, 449, 11680, 76735, 477, 4563, 1031, 81, 731, 220, 975, 24572, 11, 449, 5348, 23414, 220, 508, 24572, 11, 323, 449, 4366, 37977, 220, 1758, 14, 14863, 2100, 11, 2288, 11, 279, 39051, 569, 449, 4366, 63931, 2853, 220, 1644, 14, 21, 311, 220, 1272, 611, 482, 627, 38, 71523, 41829, 505, 220, 19, 611, 1389, 311, 220, 717, 14, 21, 11, 449, 264, 31863, 520, 220, 17, 611, 1389, 662, 362, 81767, 38181, 731, 574, 6982, 520, 220, 605, 14, 21, 323, 11, 315, 3388, 11, 279, 9168, 5157, 902, 4491, 13, 31994, 1903, 5678, 1051, 5066, 13, 6385, 2439, 28830, 505, 220, 508, 24572, 311, 220, 966, 24572, 11, 323, 264, 426, 3328, 77, 574, 12715, 520, 220, 1313, 14, 21, 13, 7573, 5589, 8696, 11, 14134, 10791, 369, 36460, 20229, 304, 1884, 2919, 11, 2853, 505, 220, 16, 24572, 311, 220, 17, 611, 1389, 662, 9220, 44630, 5348, 67461, 2345, 279, 35663, 11, 439, 1664, 439, 279, 20229, 315, 12745, 477, 81389, 11341, 11, 1051, 6646, 38508, 2345, 52898, 33705, 520, 220, 17, 611, 1389, 323, 220, 17, 14, 21, 11, 323, 264, 44630, 7762, 67, 675, 6689, 520, 14221, 1637, 265, 589, 574, 12715, 13, 578, 70467, 19455, 2853, 505, 220, 21, 611, 1389, 311, 220, 23, 14, 21, 11, 279, 4563, 1031, 81, 731, 505, 220, 17, 14, 21, 998, 220, 19, 14, 21, 11, 1202, 36271, 11, 279, 10164, 3880, 607, 11, 220, 17, 611, 1389, 1174, 323, 264, 17723, 454, 4748, 220, 18, 14, 18, 13, 93668, 3516, 2469, 41829, 505, 220, 23, 14, 21, 311, 220, 717, 14, 21, 11, 3686, 264, 3221, 8844, 11, 279, 74968, 30742, 11, 574, 33705, 520, 220, 19, 611, 1389, 323, 220, 19, 14, 21, 13, 9220, 1023, 3221, 29658, 11, 279, 393, 1386, 258, 323, 279, 436, 61570, 15013, 362, 3178, 902, 574, 36574, 77289, 2391, 264, 13766, 11, 1051, 33705, 520, 220, 605, 24572, 323, 220, 22, 14, 14863, 7023, 45752, 1051, 35947, 994, 743, 709, 323, 2853, 505, 220, 18, 611, 1389, 311, 220, 22, 14, 21, 11, 323, 279, 3892, 921, 1409, 82, 430, 1051, 12715, 2345, 12555, 13, 31994, 4036, 4848, 304, 832, 1938, 0, 2345, 52898, 505, 220, 20, 611, 1389, 311, 220, 806, 14, 21, 13, 10164, 473, 729, 1051, 220, 17, 611, 1389, 323, 220, 18, 14, 21, 11, 264, 13182, 76064, 220, 20, 611, 1389, 1174, 1403, 1443, 789, 81, 2094, 220, 21, 611, 1389, 323, 220, 717, 24572, 11, 1403, 50155, 86, 826, 220, 18, 14, 21, 1855, 11, 323, 1403, 2893, 21632, 70086, 2345, 99020, 439, 36460, 20229, 323, 539, 22036, 819, 2345, 52898, 220, 16, 14, 21, 323, 220, 20, 24572, 627, 13461, 279, 4856, 51590, 467, 398, 97289, 269, 519, 574, 10235, 11, 323, 41829, 505, 220, 22, 14, 21, 311, 220, 508, 24572, 11, 323, 1202, 36271, 11, 279, 1443, 351, 11, 505, 220, 806, 14, 21, 311, 220, 975, 14, 14863, 362, 8681, 17355, 423, 1553, 2853, 220, 1313, 24572, 11, 264, 29623, 285, 6853, 73999, 11, 902, 1047, 53850, 704, 315, 279, 21319, 520, 350, 4361, 277, 3473, 875, 1405, 9024, 20229, 1051, 8774, 323, 574, 6689, 11, 574, 743, 709, 369, 220, 1135, 24572, 11, 323, 279, 48416, 6844, 22620, 11586, 3833, 369, 220, 20, 14, 21, 13, 47124, 369, 20229, 529, 19335, 11, 323, 832, 1043, 8449, 279, 68337, 315, 1063, 19335, 520, 3115, 11, 4686, 279, 62387, 54371, 22006, 315, 1521, 100130, 315, 459, 11639, 1457, 3347, 627, 27831, 682, 3697, 315, 279, 13581, 690, 387, 16089, 279, 348, 28523, 706, 8208, 832, 649, 387, 46304, 520, 279, 30401, 315, 1521, 2254, 5933, 1705, 3318, 3814, 1306, 3814, 1524, 311, 279, 4216, 4207, 315, 279, 6693, 311, 6381, 459, 19524, 2015, 2476, 323, 3629, 304, 279, 3177, 315, 459, 5707, 29062, 11, 323, 3582, 420, 15105, 315, 26984, 374, 539, 311, 387, 1081, 2954, 279, 22209, 287, 315, 279, 19524, 800, 2084, 753, 19524, 828, 706, 2728, 603, 810, 3649, 315, 1057, 2254, 100014, 1109, 527, 3629, 12715, 304, 17649, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 49670, 10790, 25, 49407, 279, 220, 17, 35, 14, 18, 35, 17896, 49670, 8410, 16, 17907, 11, 220, 1049, 21, 3296, 25, 8563, 7997, 198, 30033, 220, 17, 35, 323, 220, 18, 35, 7620, 311, 279, 7032, 814, 656, 1888, 627, 5966, 2305, 11, 358, 15243, 922, 1268, 311, 1440, 994, 499, 2351, 5644, 311, 3351, 311, 220, 18, 35, 48365, 13, 3861, 315, 279, 73443, 16296, 315, 7366, 311, 220, 18, 35, 48365, 374, 279, 7447, 49670, 5274, 4676, 1405, 5361, 48365, 6067, 11, 2225, 220, 18, 35, 323, 220, 17, 35, 11, 527, 304, 1005, 13, 763, 2144, 11, 856, 48365, 6783, 32313, 2391, 279, 1566, 4330, 1667, 1501, 430, 1521, 220, 17, 35, 14, 18, 35, 7447, 49670, 22484, 527, 1457, 279, 7617, 13, 1102, 5084, 279, 3488, 4536, 956, 3508, 499, 3358, 617, 311, 10299, 264, 7447, 49670, 5274, 11, 719, 1268, 1888, 311, 656, 779, 627, 644, 420, 3330, 11, 358, 3358, 3085, 264, 21655, 315, 39555, 11, 10631, 323, 3821, 9994, 3673, 369, 48365, 20258, 889, 1505, 5694, 304, 1205, 315, 264, 7447, 49670, 6373, 8446, 627, 36, 32107, 323, 94287, 8976, 1385, 198, 4516, 3249, 656, 584, 617, 7447, 49670, 19672, 304, 279, 1176, 2035, 30, 8595, 539, 1120, 733, 12756, 220, 18, 35, 323, 387, 2884, 449, 433, 30, 578, 12717, 2944, 358, 1518, 374, 430, 1455, 5220, 5042, 649, 956, 1935, 279, 892, 311, 3480, 5127, 311, 220, 18, 35, 520, 3131, 11, 323, 80430, 279, 2853, 315, 8292, 8640, 264, 3345, 2132, 13, 3296, 80430, 2539, 220, 18, 35, 8292, 11, 264, 2883, 13912, 1701, 279, 220, 17, 35, 7526, 433, 2736, 8964, 1418, 73194, 311, 220, 18, 35, 27115, 11, 8617, 18189, 7194, 719, 6968, 279, 7447, 49670, 5274, 304, 279, 1920, 627, 50344, 1648, 11, 433, 596, 7185, 311, 5296, 430, 19093, 7437, 704, 311, 617, 264, 7447, 49670, 5274, 44603, 1120, 8741, 4245, 311, 7100, 50446, 13, 21496, 287, 279, 7447, 49670, 8903, 3445, 499, 3358, 8493, 810, 892, 18646, 279, 15398, 323, 2753, 892, 11039, 433, 627, 2276, 4718, 44240, 323, 63403, 198, 99729, 48365, 7526, 374, 682, 922, 6574, 2626, 26470, 323, 3794, 279, 2683, 2884, 13, 15636, 11, 13021, 704, 279, 9256, 499, 1205, 311, 22829, 323, 13126, 902, 48365, 7526, 690, 1888, 1520, 499, 656, 779, 527, 279, 1176, 7504, 304, 35821, 279, 7447, 49670, 5274, 13, 29524, 2231, 11, 6373, 6944, 499, 311, 636, 279, 2683, 2884, 323, 2216, 3250, 956, 2512, 902, 5507, 13390, 21168, 902, 3465, 11, 779, 1317, 439, 433, 8741, 6288, 11, 61440, 323, 11626, 2915, 13, 4452, 11, 701, 3932, 690, 2512, 922, 279, 48365, 7526, 814, 1005, 323, 1268, 1884, 7526, 7958, 872, 1938, 4791, 11477, 6439, 627, 644, 856, 4059, 11, 44463, 3932, 6, 48365, 3966, 449, 264, 2883, 596, 2626, 3966, 374, 279, 14397, 13744, 961, 315, 14892, 449, 279, 7447, 49670, 5274, 13, 2057, 22829, 420, 44463, 1180, 11, 499, 2011, 24564, 701, 6484, 3966, 323, 11618, 505, 2225, 91250, 323, 1217, 39555, 13, 8442, 1306, 13021, 2574, 649, 499, 4048, 902, 5507, 374, 4495, 369, 1855, 7580, 323, 1268, 311, 10299, 279, 7526, 13750, 13, 5810, 527, 264, 2478, 4860, 430, 690, 3041, 499, 264, 3790, 389, 1148, 11618, 499, 2804, 7446, 323, 1148, 3241, 5507, 374, 1314, 369, 1855, 3465, 13, 578, 1401, 1008, 425, 1618, 374, 11, 330, 34176, 701, 3241, 11, 1541, 956, 1095, 701, 3241, 10299, 499, 25765, 3923, 11618, 1288, 499, 1005, 220, 17, 35, 369, 30, 1472, 1253, 2103, 1005, 220, 17, 35, 311, 3790, 14348, 9256, 1778, 439, 59000, 477, 38852, 38, 6108, 20632, 13, 1472, 1253, 1101, 1505, 433, 810, 20406, 311, 2567, 20160, 7224, 304, 220, 17, 35, 311, 5766, 279, 2853, 315, 220, 18, 35, 34579, 13, 578, 1401, 1618, 374, 311, 8417, 1405, 220, 17, 35, 1288, 2103, 387, 1511, 779, 499, 649, 37455, 701, 220, 18, 35, 5070, 304, 279, 7634, 814, 649, 2343, 499, 1203, 6288, 627, 3923, 11618, 1288, 499, 1005, 220, 18, 35, 369, 30, 220, 18, 35, 2955, 7526, 690, 1457, 9855, 264, 1579, 25171, 2955, 3560, 2949, 701, 2883, 11, 779, 387, 2771, 311, 1005, 701, 220, 18, 35, 5070, 304, 279, 7634, 814, 649, 3041, 499, 279, 1888, 3284, 2343, 1445, 13, 578, 15837, 1618, 374, 539, 1405, 649, 499, 1005, 220, 18, 35, 11, 719, 1405, 649, 499, 1888, 1005, 220, 18, 35, 30, 12040, 1139, 2759, 5137, 1778, 439, 1217, 4967, 892, 323, 3241, 323, 12035, 7194, 994, 3339, 701, 5597, 627, 9241, 1587, 220, 18, 35, 5387, 1022, 323, 220, 17, 35, 10536, 304, 30, 4740, 499, 3077, 6773, 1405, 220, 17, 35, 323, 220, 18, 35, 7526, 649, 387, 1511, 1455, 7706, 750, 11, 499, 2011, 22118, 279, 8712, 315, 31799, 1124, 3871, 13, 21069, 6261, 4860, 1778, 439, 25, 2650, 649, 358, 636, 220, 17, 35, 2612, 369, 856, 220, 18, 35, 1887, 30, 2650, 649, 856, 220, 18, 35, 6067, 4287, 220, 17, 35, 1988, 30, 3639, 690, 387, 279, 32115, 304, 13390, 11218, 1521, 9256, 30, 40730, 389, 1148, 499, 1505, 11, 499, 1253, 1390, 311, 11857, 701, 51866, 315, 1405, 220, 17, 35, 323, 220, 18, 35, 7526, 5052, 1888, 304, 701, 2883, 13, 1115, 3463, 1920, 374, 87975, 11, 323, 433, 21935, 311, 40175, 279, 2671, 14134, 627, 3923, 527, 701, 9434, 3834, 3585, 30, 3234, 499, 990, 304, 459, 4676, 1405, 499, 617, 311, 3493, 6500, 3626, 311, 9434, 29629, 30, 1442, 779, 11, 499, 2011, 3619, 1405, 701, 3585, 315, 3834, 690, 387, 323, 7124, 1148, 6500, 20447, 499, 690, 1205, 311, 1862, 1124, 13, 3277, 499, 3619, 1521, 3834, 3585, 11, 499, 1253, 1205, 311, 40175, 701, 5419, 220, 17, 35, 323, 220, 18, 35, 11618, 3686, 1578, 13, 4740, 682, 11, 433, 3727, 912, 5647, 311, 1005, 220, 17, 35, 14, 18, 35, 7526, 304, 264, 1648, 430, 305, 32551, 3318, 449, 8717, 4994, 701, 2883, 627, 3923, 922, 2536, 7813, 1846, 7526, 30, 3277, 220, 18, 35, 2955, 14519, 1935, 3412, 11, 433, 596, 31352, 430, 11084, 42148, 690, 1833, 13, 21844, 42148, 1253, 54350, 2574, 1778, 439, 27145, 11, 100044, 82, 11, 11722, 9146, 477, 1524, 23188, 2103, 5448, 13, 1102, 74145, 11263, 430, 48365, 20258, 690, 9855, 2585, 315, 1521, 4595, 315, 3241, 3956, 1606, 814, 990, 304, 32546, 449, 48365, 7526, 13, 3639, 690, 701, 1847, 3197, 387, 369, 18646, 1521, 5217, 3241, 7526, 5380, 6153, 499, 3077, 30239, 701, 11618, 11, 433, 596, 892, 311, 2231, 701, 6492, 1139, 1957, 11, 1314, 30, 13538, 499, 32571, 1139, 1957, 11, 1935, 264, 4545, 311, 1781, 922, 279, 8935, 315, 3917, 287, 6261, 311, 14734, 3477, 13, 1472, 1253, 539, 617, 1027, 3025, 311, 1781, 922, 4395, 477, 2567, 682, 279, 7482, 369, 2204, 3241, 15671, 7833, 13, 1115, 3460, 315, 37628, 3252, 10712, 649, 387, 264, 2466, 8903, 1817, 369, 48365, 20258, 889, 527, 1511, 311, 14392, 4395, 922, 872, 48365, 45218, 627, 22170, 439, 499, 2643, 11, 1070, 690, 2744, 387, 264, 2410, 1217, 889, 8964, 810, 922, 264, 3230, 8712, 1109, 499, 656, 13, 358, 15253, 499, 311, 27830, 701, 2410, 3932, 6, 6677, 439, 264, 2592, 315, 8333, 11, 539, 264, 23948, 13, 2100, 3249, 539, 10347, 68, 264, 2410, 8865, 7090, 311, 1520, 499, 3477, 701, 7447, 49670, 6492, 30, 20474, 430, 264, 48365, 6783, 596, 2683, 374, 311, 1304, 2574, 990, 11, 323, 14734, 3477, 505, 264, 7090, 315, 2410, 3932, 374, 279, 1888, 1648, 358, 1440, 311, 1304, 2771, 2574, 990, 627, 7927, 5357, 1288, 387, 311, 636, 2410, 3932, 505, 701, 2883, 1139, 264, 87516, 1912, 430, 31869, 1855, 1023, 596, 3966, 11, 3834, 3585, 11, 1052, 8670, 323, 9434, 20632, 3966, 13, 3296, 10917, 5127, 304, 279, 1890, 15688, 11, 499, 682, 3663, 279, 1890, 743, 315, 5435, 3871, 323, 527, 682, 27762, 311, 11886, 1884, 5435, 13, 1472, 3358, 1505, 430, 994, 1274, 527, 1903, 8647, 369, 279, 2860, 990, 2027, 315, 279, 2883, 11, 814, 1212, 311, 1518, 19476, 304, 264, 1790, 2204, 1648, 13, 4718, 2683, 439, 48365, 6783, 374, 311, 28696, 420, 2410, 8865, 7090, 555, 1812, 23747, 323, 31301, 439, 279, 77635, 311, 2883, 6373, 779, 430, 16470, 31869, 1148, 5127, 775, 25283, 627, 7676, 3639, 1472, 3077, 12595, 198, 2181, 596, 9200, 430, 499, 3350, 1523, 1148, 499, 4048, 439, 499, 21782, 701, 11618, 11, 3477, 701, 21782, 449, 701, 2410, 8865, 7090, 11, 323, 1304, 11429, 922, 220, 17, 35, 323, 220, 18, 35, 7526, 13, 763, 2144, 11, 358, 7079, 4477, 1523, 701, 14955, 439, 6574, 4520, 315, 279, 2410, 8865, 7090, 323, 50812, 1124, 13, 3296, 3815, 779, 11, 499, 3358, 636, 459, 5217, 2237, 315, 13598, 323, 1977, 5054, 26586, 369, 701, 6848, 439, 499, 4319, 6468, 1124, 311, 264, 22622, 10877, 627, 40, 1781, 499, 3358, 1505, 430, 701, 48365, 10886, 690, 387, 304, 1205, 315, 264, 18622, 11, 323, 439, 48365, 6783, 430, 12014, 690, 4498, 311, 499, 13, 358, 7079, 430, 499, 16343, 701, 6484, 48365, 10886, 449, 1063, 315, 279, 502, 2410, 8865, 14955, 311, 1893, 264, 7447, 49670, 10886, 2246, 13, 1666, 499, 656, 779, 11, 2980, 279, 2768, 6848, 627, 49833, 2402, 1288, 1862, 3966, 13, 4718, 502, 48365, 10886, 1288, 1862, 279, 502, 220, 17, 35, 323, 220, 18, 35, 11618, 323, 3241, 7526, 499, 3077, 14407, 449, 701, 2410, 8865, 7090, 13, 1102, 596, 539, 279, 892, 311, 1893, 502, 10886, 477, 84140, 26, 5042, 3350, 279, 17832, 10886, 2631, 311, 1862, 701, 3966, 627, 49833, 2402, 1288, 2686, 220, 17, 35, 323, 220, 18, 35, 7526, 13, 2893, 3230, 922, 902, 9256, 690, 1005, 1148, 3241, 7526, 323, 1304, 420, 961, 315, 701, 10886, 13, 1102, 596, 60791, 311, 10491, 1148, 3241, 5507, 374, 1888, 32599, 369, 902, 1920, 422, 499, 1541, 956, 5410, 553, 279, 16346, 369, 3815, 779, 627, 3353, 220, 18, 35, 1120, 439, 499, 1053, 220, 17, 35, 13, 4702, 1606, 499, 3077, 2751, 264, 7155, 502, 220, 18, 35, 3241, 5507, 3250, 956, 3152, 701, 3932, 1288, 387, 3025, 311, 1629, 11413, 939, 347, 927, 499, 323, 1646, 2574, 4869, 814, 1093, 13, 9842, 701, 220, 18, 35, 48365, 10886, 279, 1890, 1648, 499, 1053, 369, 220, 17, 35, 627, 8238, 433, 4382, 13, 10541, 264, 7447, 49670, 4676, 1253, 2873, 17395, 11, 701, 10886, 1288, 1304, 433, 2873, 4382, 13, 26572, 627, 19999, 6373, 304, 279, 6471, 13, 4718, 10195, 6373, 4762, 3250, 956, 1205, 311, 1373, 1475, 14646, 315, 701, 7447, 49670, 5410, 11, 719, 814, 1288, 1518, 459, 11145, 11852, 12399, 315, 1148, 499, 2351, 3815, 627, 644, 856, 3217, 11, 18646, 279, 7447, 49670, 5274, 374, 810, 922, 5398, 287, 3241, 7526, 311, 2626, 3966, 1109, 433, 374, 922, 3241, 6373, 13, 21834, 810, 922, 1148, 499, 2351, 3815, 323, 1148, 3241, 7526, 690, 1520, 11322, 701, 9021, 11, 323, 499, 3358, 9651, 5357, 389, 279, 1314, 5137, 315, 701, 2683, 13, 3296, 7422, 810, 922, 1920, 323, 31831, 701, 2410, 3932, 311, 30536, 3241, 5178, 11, 499, 3358, 17782, 520, 264, 2294, 30485, 1990, 2626, 6373, 323, 5557, 6373, 1418, 3794, 810, 2884, 13, 1628, 430, 11, 304, 264, 94013, 11, 374, 1148, 48365, 6373, 374, 682, 922, 627, 35632, 7997, 27772, 48365, 15840, 323, 31831, 6957, 279, 3723, 4273, 323, 7008, 13, 50942, 1461, 520, 2613, 36587, 916, 627, 644, 1077, 4228, 4791, 93685, 11, 11919, 1742, 11, 1317, 7394, 33160, 278, 599, 29820, 6576, 323, 91335, 27766, 55806, 380, 45638, 20661, 28292, 499, 1555, 264, 502, 4668, 477, 892, 59085, 14397, 304, 1475, 9417, 315, 1077, 5526, 9156, 49670, 2835, 10631, 13, 28369, 311, 279, 1949, 33160, 278, 599, 8519, 66290, 20846, 323, 584, 3358, 15820, 499, 1475, 892, 264, 502, 2835, 11813, 374, 4756, 13, 2052, 24121, 505, 33160, 278, 599, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 17119, 1245, 66727, 14937, 8350, 11, 54462, 6419, 18206, 12468, 727, 11, 4987, 6460, 9635, 17283, 198, 17119, 1245, 66727, 14937, 8350, 11, 18206, 198, 3648, 17283, 369, 54462, 6419, 304, 36664, 9635, 11, 6560, 1389, 2955, 555, 26340, 25518, 14075, 78113, 198, 1682, 3297, 220, 679, 24, 198, 17119, 1245, 66727, 304, 14937, 8350, 11, 18206, 198, 19249, 8525, 25, 26340, 25518, 14075, 78113, 198, 4812, 25, 14937, 8350, 11, 18206, 11, 4987, 6460, 9635, 11, 6560, 198, 79315, 25518, 14075, 78113, 529, 3451, 66, 589, 36620, 315, 50259, 529, 369, 13182, 1245, 66727, 16264, 304, 14937, 8350, 198, 17119, 1245, 66727, 374, 279, 6560, 753, 24519, 50295, 323, 690, 5276, 279, 6883, 753, 5788, 7677, 11, 30236, 455, 2785, 1202, 2612, 11, 439, 1664, 439, 6968, 264, 502, 20792, 33464, 304, 279, 18206, 5654, 11, 449, 33687, 31261, 11, 58172, 826, 11, 264, 8221, 11, 10960, 323, 3703, 627, 79315, 25518, 14075, 78113, 617, 20669, 279, 6485, 16003, 8670, 315, 279, 50295, 2949, 264, 52790, 42109, 902, 1101, 49193, 279, 66333, 13878, 315, 50259, 323, 71849, 5788, 12823, 323, 85060, 13, 578, 4857, 3727, 264, 14265, 5224, 922, 6617, 50259, 304, 13527, 11, 449, 264, 7937, 2915, 3451, 2407, 1245, 529, 3776, 95972, 1037, 902, 6835, 2697, 3201, 3156, 15613, 3094, 4871, 1405, 433, 1243, 16264, 709, 279, 6617, 50259, 1920, 311, 15613, 449, 459, 65280, 5603, 311, 279, 6883, 3217, 627, 17119, 1245, 374, 54462, 6419, 753, 10292, 11230, 13179, 13, 9086, 872, 47283, 11, 1521, 527, 21662, 1903, 555, 3243, 336, 8476, 11, 449, 264, 3243, 336, 8476, 27744, 13, 578, 220, 19, 11, 931, 18522, 10702, 1176, 6558, 10960, 323, 3703, 527, 264, 8013, 1935, 389, 279, 7434, 315, 279, 6063, 13179, 14321, 11, 16850, 1317, 12920, 11, 1579, 56814, 323, 264, 4382, 5130, 315, 11670, 8013, 26863, 6319, 311, 23606, 279, 13179, 5196, 11, 902, 374, 24547, 291, 6089, 505, 389, 29654, 26951, 13, 423, 40799, 649, 1427, 1555, 279, 10960, 11276, 1139, 279, 5395, 1336, 1559, 3770, 13, 362, 879, 18397, 3130, 743, 2949, 279, 10960, 690, 3552, 2363, 481, 7491, 12, 9031, 323, 3361, 47500, 35254, 627, 32, 6617, 13076, 37637, 1946, 1392, 279, 13076, 11618, 389, 1501, 449, 264, 27404, 315, 659, 58919, 9699, 369, 9839, 3497, 2277, 11, 3703, 9168, 5942, 323, 74135, 4504, 11, 20366, 54614, 11633, 6558, 11, 323, 4382, 4251, 34582, 21130, 13, 578, 3703, 4519, 264, 1181, 1171, 735, 3141, 3633, 45888, 4156, 323, 37123, 291, 9699, 3703, 1948, 13, 362, 3776, 55993, 55372, 22959, 11705, 279, 4832, 45166, 4676, 323, 15407, 279, 9434, 3776, 22996, 1206, 3071, 627, 32, 3703, 323, 8221, 520, 279, 4156, 315, 279, 50295, 3063, 311, 34615, 10395, 13863, 1405, 15613, 649, 4774, 264, 46746, 34632, 1603, 80249, 709, 389, 13179, 311, 1935, 2162, 13, 65925, 555, 279, 18206, 80944, 520, 423, 11856, 434, 11, 279, 13863, 690, 4668, 279, 7257, 7598, 323, 81817, 14293, 1511, 304, 13182, 1245, 34484, 627, 79315, 25518, 14075, 78113, 529, 4382, 25351, 6070, 15316, 264, 6485, 11156, 5052, 704, 11, 449, 264, 220, 605, 76, 865, 220, 21, 76, 1579, 93286, 27255, 29040, 279, 5395, 1336, 1559, 1920, 4737, 4871, 13, 56982, 13077, 2737, 1925, 20396, 11, 3703, 323, 8221, 527, 52258, 520, 832, 842, 11, 449, 279, 4857, 16448, 311, 264, 50098, 15485, 311, 2225, 3838, 279, 220, 1041, 10954, 10960, 11, 323, 3041, 1063, 9434, 43563, 9546, 311, 279, 1455, 21102, 9309, 315, 279, 2816, 627, 791, 4553, 15266, 1920, 505, 24875, 9889, 311, 13179, 7637, 374, 7559, 389, 279, 5015, 6558, 2949, 264, 2033, 2673, 3634, 11, 323, 459, 5419, 6932, 430, 706, 1027, 8040, 15499, 449, 54462, 6419, 369, 7340, 15374, 13, 362, 13057, 220, 868, 82673, 2543, 2048, 374, 7559, 311, 279, 14981, 315, 279, 4857, 311, 28696, 11297, 6530, 315, 4526, 323, 9889, 27861, 627, 76896, 832, 74454, 26951, 527, 14252, 660, 520, 13182, 1245, 66727, 11, 7438, 430, 279, 5043, 12, 7982, 21662, 17276, 649, 5376, 1202, 8824, 311, 3412, 709, 311, 220, 8258, 11, 931, 281, 21719, 315, 13179, 389, 2816, 520, 904, 832, 892, 11, 719, 1101, 17109, 304, 9333, 45892, 439, 2631, 369, 99316, 323, 12945, 13, 26778, 26951, 2737, 24875, 323, 41580, 5554, 437, 527, 7559, 389, 279, 4994, 315, 279, 4857, 11, 539, 1193, 10494, 279, 13179, 7155, 11, 323, 67817, 709, 5419, 3634, 369, 24872, 20792, 13077, 11, 719, 6968, 264, 3831, 9302, 9546, 369, 279, 50295, 902, 23874, 520, 279, 4851, 315, 14937, 8350, 323, 17738, 1202, 5043, 10223, 5643, 627, 791, 220, 21, 76, 2587, 5918, 2447, 23874, 389, 264, 220, 16, 13, 21, 46323, 2816, 1828, 6134, 311, 14937, 8350, 7327, 17040, 13, 3161, 279, 1862, 315, 4113, 4363, 8281, 549, 612, 358, 323, 14937, 8350, 85303, 9251, 11, 279, 2447, 374, 961, 315, 264, 8294, 7491, 10609, 369, 279, 22622, 60517, 315, 14937, 8350, 323, 1202, 1938, 4791, 45427, 8752, 627, 791, 2447, 374, 279, 4948, 430, 26340, 25518, 14075, 78113, 706, 8308, 369, 54462, 6419, 11, 2768, 1202, 2955, 315, 14016, 369, 682, 2380, 315, 279, 5856, 753, 21662, 7677, 2737, 279, 32926, 75333, 304, 350, 1992, 5294, 304, 220, 679, 22, 323, 279, 51683, 21785, 902, 9107, 520, 279, 842, 315, 220, 679, 23, 520, 24980, 11511, 304, 7295, 627, 79315, 25518, 14075, 315, 26340, 25518, 14075, 78113, 1071, 512, 1687, 527, 35072, 311, 617, 1027, 961, 315, 54462, 6419, 753, 3446, 304, 3293, 1667, 323, 311, 1518, 420, 5652, 12735, 315, 872, 3446, 34044, 304, 279, 4851, 315, 14937, 8350, 13, 13182, 1245, 66727, 706, 1027, 264, 14964, 2447, 311, 990, 389, 323, 584, 649, 1431, 3868, 311, 1518, 433, 304, 2539, 5784, 323, 2539, 315, 15613, 22128, 279, 42266, 11, 10578, 323, 36263, 315, 264, 3318, 18206, 50295, 627, 38, 57365, 19710, 11, 49407, 10783, 11, 34484, 323, 356, 1814, 11, 54462, 6419, 5856, 1071, 512, 17119, 1245, 66727, 374, 279, 5652, 66941, 3502, 10826, 1824, 4935, 369, 54462, 6419, 11, 2768, 279, 3293, 8736, 315, 1057, 51683, 21785, 520, 6342, 753, 11511, 13, 1115, 374, 264, 50295, 304, 279, 2294, 14135, 315, 279, 1648, 584, 5567, 82, 1511, 311, 656, 73802, 26, 459, 26154, 961, 315, 1202, 6376, 11, 264, 2254, 19683, 323, 264, 42199, 1486, 369, 279, 6424, 13, 26340, 25518, 14075, 78113, 3619, 1057, 6883, 323, 51566, 323, 617, 9087, 603, 1893, 2555, 25363, 1618, 627, 17119, 1245, 66727, 14937, 8350, 18206, 1389, 17283, 8245, 198, 3032, 25, 54462, 6419, 5856, 70452, 198, 8006, 10790, 25, 362, 66274, 198, 44, 69248, 11, 73800, 11, 16803, 82, 25, 91282, 5856, 198, 7469, 22677, 25, 14937, 8350, 85303, 9251, 198, 20989, 380, 3804, 20871, 269, 320, 90328, 1680, 452, 51185, 198, 14396, 269, 25, 77164, 320, 14396, 1105, 8, 12604, 198, 10714, 26340, 25518, 14075, 78113, 198, 79315, 25518, 14075, 78113, 374, 459, 10292, 11230, 18112, 323, 74564, 6725, 449, 19672, 304, 18206, 323, 7295, 323, 264, 3831, 17444, 369, 2955, 13, 578, 6725, 374, 3318, 304, 264, 7029, 2134, 315, 26593, 2737, 47609, 11, 25325, 11, 15926, 11, 6873, 323, 11983, 11, 323, 304, 3293, 1667, 706, 6575, 389, 264, 1396, 315, 3544, 5569, 60517, 31956, 4028, 18206, 2737, 18308, 1974, 520, 24079, 349, 11, 279, 87435, 9305, 43326, 10960, 520, 40555, 441, 11046, 11, 323, 40555, 441, 11046, 16192, 13, 35390, 7224, 2997, 279, 10292, 11230, 8773, 19853, 369, 10255, 15341, 23404, 521, 88, 11, 279, 1176, 502, 1977, 25586, 7830, 304, 279, 6560, 520, 14937, 8350, 369, 13707, 15560, 61893, 11, 264, 502, 12468, 727, 11, 51683, 21785, 323, 66727, 369, 54462, 6419, 11, 323, 264, 1396, 315, 3544, 1239, 268, 323, 11983, 31956, 304, 7295, 2737, 65698, 3258, 4987, 10913, 369, 549, 612, 358, 323, 279, 94505, 304, 36082, 3520, 753, 7295, 25599, 627, 10714, 54462, 6419, 198, 1163, 82200, 6419, 374, 13527, 753, 6522, 3243, 59775, 11, 44413, 1403, 94237, 315, 279, 6560, 753, 13378, 2612, 13, 1102, 374, 279, 4033, 13378, 315, 279, 26275, 323, 24562, 45332, 24583, 323, 374, 459, 4033, 8427, 311, 279, 16591, 39679, 4783, 11, 279, 4418, 5730, 52466, 323, 279, 7295, 63306, 54617, 627, 791, 54462, 6419, 3243, 727, 374, 3196, 304, 350, 1992, 5294, 11, 18206, 11, 323, 706, 220, 845, 27464, 1234, 30050, 389, 264, 220, 2614, 198, 29574, 12675, 2949, 459, 12299, 315, 76441, 18955, 31685, 13, 54462, 6419, 5856, 753, 16097, 2997, 13182, 1245, 44213, 11, 3339, 15193, 11003, 38066, 11, 1855, 449, 264, 3243, 59775, 753, 27744, 11, 323, 279, 51683, 21785, 3703, 323, 10960, 902, 9107, 304, 24980, 11511, 11, 7295, 520, 279, 842, 315, 220, 679, 23, 627, 2028, 1060, 54462, 6419, 690, 1893, 279, 7928, 3254, 30050, 17884, 304, 279, 6560, 520, 2577, 277, 3258, 11, 18206, 627, 10714, 13182, 1245, 44213, 198, 3915, 54462, 6419, 11, 9635, 753, 6522, 3243, 59775, 11, 13182, 1245, 44213, 1304, 15193, 11003, 38066, 11, 1855, 449, 264, 3243, 59775, 753, 27744, 1389, 13179, 369, 279, 42645, 287, 11, 13179, 369, 279, 22999, 13, 578, 13182, 1245, 66727, 2027, 2134, 374, 10212, 40343, 304, 31779, 10027, 11, 14144, 25888, 323, 23971, 1030, 11, 439, 1664, 439, 304, 1690, 315, 279, 6560, 753, 28807, 15926, 323, 16283, 13, 13182, 1245, 66727, 374, 279, 4033, 13179, 323, 66155, 19353, 311, 279, 4418, 5730, 52466, 323, 7295, 63306, 54617, 11, 1202, 3956, 527, 1101, 10434, 520, 578, 5165, 79682, 19853, 11, 16591, 17772, 11166, 323, 279, 4987, 17469, 14821, 627, 32872, 25, 38218, 480, 408, 1247, 41147, 198, 17119, 1245, 66727, 14937, 8350, 11, 18206, 11, 369, 54462, 6419, 5448, 611, 2038, 4036, 220, 13754, 21851, 198, 4383, 25, 578, 13182, 1245, 66727, 11, 8113, 220, 16, 11, 23225, 28567, 11, 14937, 8350, 32023, 1419, 220, 22, 90719, 11, 3723, 15422, 198, 7084, 25, 489, 2096, 220, 4513, 18, 220, 21458, 3101, 198, 791, 28275, 19033, 11, 578, 10951, 13207, 1389, 87926, 11004, 198, 19249, 8525, 25, 22770, 34131, 78113, 198, 1843, 27104, 315, 56035, 198, 791, 28275, 19033, 11, 14937, 8350, 1389, 220, 972, 4448, 220, 679, 24, 198, 11087, 266, 2009, 288, 26150, 6150, 198, 1843, 27104, 315, 56035, 198, 16352, 6150, 17283, 304, 14937, 8350, 198, 3648, 18206, 74248, 198, 825, 14084, 18206, 38943, 198, 19249, 8525, 82, 25, 13597, 2303, 265, 612, 2394, 77711, 198, 11817, 7388, 9538, 25611, 15512, 198, 6854, 466, 20176, 11896, 17283, 198, 34380, 41109, 2303, 818, 304, 87926, 198, 21103, 25, 12336, 30563, 47362, 11, 78113, 198, 1843, 505, 56035, 5274, 198, 34380, 41109, 2303, 818, 304, 87926, 198, 49, 26246, 3223, 26568, 11, 40555, 441, 11046, 198, 21103, 25, 26340, 25518, 14075, 78113, 198, 11817, 505, 26340, 25518, 14075, 78113, 198, 85856, 26568, 555, 26340, 25518, 14075, 78113, 198, 31916, 1820, 13011, 15248, 11050, 198, 21103, 25, 26340, 25518, 14075, 78113, 198, 1843, 555, 56035, 198, 31916, 1820, 13011, 15248, 198, 17828, 611, 7397, 369, 13182, 1245, 66727, 14937, 8350, 11, 18206, 11, 369, 54462, 6419, 1389, 48302, 6498, 8825, 2199, 10788 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 36, 5481, 4223, 916, 24062, 38122, 1838, 1354, 198, 25162, 38122, 70819, 469, 5481, 4223, 272, 1439, 1523, 311, 220, 1758, 59572, 198, 82578, 74768, 27208, 520, 4725, 20472, 198, 73236, 701, 41394, 323, 37248, 14028, 3280, 11, 7417, 701, 26206, 198, 36, 5481, 4223, 916, 24062, 38122, 70819, 469, 5481, 4223, 1838, 1354, 2187, 198, 81916, 311, 387, 2884, 520, 3428, 20472, 439, 3428, 439, 220, 1758, 59572, 2637, 24050, 701, 97744, 41394, 323, 97744, 37248, 14028, 198, 17217, 13, 469, 5481, 4223, 916, 24062, 38122, 70819, 469, 5481, 4223, 1838, 1354, 649, 1101, 387, 1511, 304, 9439, 5942, 5789, 1093, 3691, 8863, 5789, 11, 1405, 279, 9499, 4250, 387, 9408, 5190, 1109, 220, 1758, 11877, 435, 477, 779, 627, 12484, 64688, 97744, 11383, 7612, 220, 1135, 59572, 477, 810, 627, 36, 5481, 4223, 916, 24062, 38122, 70819, 469, 5481, 4223, 1838, 1354, 649, 1101, 387, 1511, 439, 264, 2307, 74768, 6376, 469, 5481, 4223, 22806, 277, 477, 469, 5481, 4223, 3623, 1113, 520, 4725, 20472, 627, 36, 5481, 4223, 916, 24062, 38122, 70819, 469, 5481, 4223, 1838, 1354, 1511, 520, 4725, 9499, 3041, 499, 4062, 2543, 2212, 892, 369, 2678, 7032, 11, 477, 8294, 7032, 430, 1397, 264, 2875, 2543, 46716, 892, 627, 13129, 950, 39923, 5046, 469, 5481, 4223, 916, 24062, 70819, 469, 5481, 4223, 198, 12, 362, 41205, 42419, 198, 12, 12000, 50298, 198, 12, 93143, 97505, 612, 72278, 198, 12, 8527, 72278, 198, 12, 37330, 2785, 50298, 198, 12, 15996, 48403, 198, 12, 356, 6073, 50298, 198, 12, 3341, 6113, 288, 198, 12, 36424, 29225, 56816, 198, 12, 36424, 34826, 56816, 198, 12, 36424, 15035, 12299, 198, 12, 9441, 97505, 198, 12, 77129, 97505, 198, 12, 46945, 66389, 198, 12, 12369, 50298, 198, 12, 48950, 53535, 56816, 198, 12, 6401, 10852, 66389, 198, 12, 7658, 44056, 66389, 198, 12, 9580, 287, 14509, 198, 12, 18421, 97986, 198, 12, 95078, 48403, 198, 12, 13257, 75644, 198, 12, 42177, 56816, 198, 12, 23820, 8242, 7760, 198, 12, 45965, 74435, 56816, 198, 12, 38544, 18317, 97505, 198, 12, 31512, 287, 14509, 198, 12, 41147, 29225, 56816, 198, 12, 7572, 50298, 198, 12, 51869, 50298, 198, 12, 87988, 74435, 56816, 198, 12, 8483, 66389, 198, 12, 9240, 48403, 198, 12, 44634, 36424, 2140, 73712, 198, 12, 79534, 50298, 198, 12, 50313, 261, 50298, 198, 12, 30064, 41991, 198, 12, 48471, 48403, 198, 12, 7073, 48403, 198, 12, 78103, 66389, 198, 12, 10164, 50298, 198, 12, 612, 1690, 3885, 198, 12, 12310, 38122, 70819, 198, 12, 12310, 25578, 269, 12220, 7473, 323, 70819, 12, 690, 539, 259, 1673, 198, 12, 7445, 7424, 561, 20638, 469, 5481, 4223, 520, 18944, 75783, 2859, 198, 12, 42041, 800, 467, 323, 36424, 40980, 198, 12, 85126, 8489, 311, 24882, 11, 423, 1141, 3804, 496, 988, 198, 12, 220, 1041, 4, 11730, 3447, 11, 18811, 93621, 482, 20628, 1524, 279, 7452, 478, 3428, 93621, 198, 12, 37866, 11742, 13957, 198, 12, 27191, 3686, 59780, 198, 12, 34154, 304, 25152, 198, 12, 2206, 1441, 61091, 10886, 198, 24627, 311, 5371, 469, 5481, 4223, 916, 12310, 38122, 70819, 469, 5481, 4223, 88125, 11, 12310, 198, 35658, 469, 5481, 4223, 3623, 28789, 477, 12310, 38122, 469, 5481, 4223, 22806, 1590, 2011, 387, 4335, 323, 5222, 13, 11016, 682, 26351, 11, 1208, 275, 685, 11, 63471, 97330, 198, 5807, 3171, 323, 1023, 7362, 5030, 555, 9462, 2067, 15067, 11, 477, 22936, 59681, 290, 627, 13319, 3090, 323, 16174, 505, 682, 27529, 449, 459, 5707, 1949, 21327, 7214, 4972, 198, 10031, 469, 5481, 4223, 916, 6, 28061, 198, 4808, 36235, 13002, 1376, 198, 41790, 315, 469, 5481, 4223, 916, 12310, 38122, 70819, 469, 5481, 4223, 88125, 11, 12310, 198, 35658, 469, 5481, 4223, 3623, 28789, 323, 25268, 12310, 38122, 469, 5481, 4223, 22806, 1590, 54614, 198, 438, 2653, 804, 2011, 387, 198, 1135, 11877, 435, 477, 3485, 520, 892, 315, 27890, 13, 65292, 1855, 3777, 26214, 1603, 198, 2067, 2518, 13, 19771, 1403, 5596, 555, 8286, 315, 3744, 362, 449, 832, 961, 555, 8286, 315, 3744, 426, 198, 2000, 2380, 4520, 449, 264, 3428, 4732, 9249, 31646, 9048, 19167, 449, 264, 27890, 198, 2746, 459, 469, 5481, 4223, 916, 12310, 38122, 70819, 469, 5481, 4223, 88125, 11, 12310, 198, 35658, 469, 5481, 4223, 3623, 28789, 323, 5255, 12310, 38122, 469, 5481, 4223, 22806, 1590, 54614, 198, 438, 5255, 2653, 804, 9499, 374, 1193, 220, 1135, 59572, 719, 2753, 1109, 220, 2075, 11877, 994, 433, 374, 9709, 6227, 433, 374, 2133, 311, 1935, 264, 2763, 5129, 311, 6642, 627, 1681, 709, 3115, 315, 469, 5481, 4223, 916, 12310, 38122, 70819, 469, 5481, 4223, 88125, 11, 12310, 198, 35658, 469, 5481, 4223, 3623, 28789, 323, 12310, 38122, 469, 5481, 4223, 22806, 1590, 690, 387, 5129, 1109, 279, 892, 10212, 389, 279, 828, 25112, 198, 39870, 433, 374, 9709, 520, 922, 220, 2075, 59572, 13, 12310, 9499, 64688, 4248, 5241, 552, 743, 709, 1790, 198, 69, 2352, 994, 279, 54057, 323, 3805, 9499, 374, 220, 1272, 12628, 477, 5190, 627, 4599, 3284, 311, 311, 4685, 3428, 9499, 64688, 97744, 520, 20472, 315, 198, 1272, 12628, 477, 810, 11, 7389, 264, 1317, 27208, 892, 374, 539, 264, 3575, 627, 47, 1098, 647, 291, 477, 11763, 14675, 1253, 5353, 8071, 323, 6930, 66510, 13, 1442, 3729, 198, 14310, 1759, 11, 11623, 7214, 323, 6056, 6593, 1520, 13, 5560, 7296, 29247, 449, 3185, 198, 939, 7052, 323, 10051, 29219, 23506, 36516, 627, 4050, 552, 449, 279, 3230, 3769, 13, 20556, 3230, 11156, 828, 11071, 477, 3729, 469, 5481, 4223, 916, 27766, 9365, 520, 220, 14423, 12, 11056, 12, 10750, 18, 369, 810, 2038, 627, 3648, 14509, 1288, 387, 520, 3325, 220, 1591, 2919, 2362, 13, 38122, 315, 54057, 198, 25849, 387, 3485, 220, 1135, 11877, 435, 13, 9503, 4276, 15792, 627, 2460, 7526, 323, 7241, 1288, 387, 28822, 1603, 279, 1887, 342, 2053, 13, 5560, 16691, 42, 345, 11916, 295, 606, 11, 477, 904, 44979, 16339, 69996, 627, 51, 10158, 15942, 60337, 5421, 46787, 520, 220, 2813, 11877, 435, 198, 91, 19771, 51848, 198, 8651, 220, 17, 25, 16, 3296, 20880, 198, 91, 14020, 9601, 320, 1049, 1099, 29275, 8651, 220, 868, 4520, 571, 220, 2075, 11877, 435, 627, 91, 350, 474, 3658, 311, 19898, 198, 8651, 220, 17, 12, 18, 4207, 571, 220, 2075, 11877, 435, 26, 220, 975, 12, 845, 4207, 571, 220, 1758, 11877, 435, 627, 8651, 220, 18, 12, 19, 4207, 571, 220, 2075, 11877, 435, 26, 220, 975, 12, 845, 4207, 571, 220, 1758, 11877, 435, 627, 91, 14235, 38081, 8651, 20, 12, 21, 4207, 571, 220, 2075, 11877, 435, 26, 220, 1187, 4207, 571, 220, 1758, 11877, 435, 13, 7511, 91, 13321, 70819, 198, 8651, 220, 20, 21882, 198, 91, 70888, 320, 3928, 1404, 340, 8651, 220, 18, 15730, 2637, 220, 868, 15730, 627, 91, 12028, 9718, 198, 8651, 5348, 11, 5929, 11, 612, 9718, 69548, 21883, 198, 1820, 6945, 315, 198, 3506, 3786, 3770, 369, 264, 8294, 2373, 315, 420, 6945, 315, 279, 1933, 9676, 627, 5618, 5296, 25, 578, 6945, 311, 279, 1314, 374, 264, 70164, 39656, 315, 198, 1820, 1933, 3786, 369, 420, 2027, 13, 578, 6685, 39656, 1920, 323, 701, 198, 33325, 323, 5255, 23185, 690, 2349, 1521, 8146, 13, 1115, 9676, 374, 311, 3041, 499, 459, 198, 42877, 315, 279, 8146, 2561, 323, 539, 10825, 369, 9200, 1933, 38499, 627, 36, 5481, 4223, 916, 24062, 38122, 70819, 469, 5481, 4223, 198, 36, 5481, 4223, 916, 5761, 674, 16, 24062, 38122, 70819, 469, 5481, 4223, 3623, 1113, 374, 220, 1041, 4, 82486, 323, 35426, 60394, 198, 1030, 28789, 369, 9439, 9499, 8522, 13, 74950, 311, 27208, 520, 20472, 439, 3428, 198, 300, 220, 1758, 59572, 13, 1102, 374, 706, 18811, 320, 15, 8, 93621, 82, 13, 8876, 433, 706, 912, 93621, 82, 11, 433, 706, 912, 69996, 779, 433, 198, 2727, 1441, 279, 7452, 478, 3284, 5410, 369, 264, 3428, 93621, 41394, 13, 1102, 374, 3629, 1511, 304, 198, 43296, 388, 323, 3691, 18459, 5789, 430, 1397, 6926, 3428, 20472, 627, 4921, 674, 16, 24062, 38122, 70819, 469, 5481, 4223, 3623, 1113, 374, 1101, 14134, 1511, 304, 3130, 198, 35658, 8522, 311, 3449, 2307, 74768, 27208, 11, 7347, 24700, 3966, 627, 36, 5481, 4223, 916, 5761, 674, 17, 24062, 70819, 36424, 1838, 11451, 469, 5481, 4223, 3623, 1113, 198, 64, 1403, 3777, 11, 220, 1041, 14062, 39298, 3447, 11, 18811, 330, 15, 1, 93621, 97744, 11742, 31785, 41394, 35426, 198, 630, 7913, 369, 9439, 9499, 8522, 13, 469, 5481, 4223, 916, 5761, 674, 17, 24062, 38122, 70819, 36424, 1838, 11451, 198, 36, 5481, 4223, 3623, 1113, 374, 3629, 1511, 304, 7155, 388, 323, 3691, 18459, 198, 33637, 430, 1397, 3428, 9499, 97744, 41394, 14028, 374, 2631, 627, 36, 5481, 4223, 916, 5761, 674, 17, 24062, 38122, 70819, 36424, 1838, 11451, 469, 5481, 4223, 3623, 1113, 198, 285, 1101, 1511, 369, 3130, 9499, 45218, 1405, 264, 2307, 74768, 1824, 554, 374, 198, 6413, 311, 30437, 2543, 2212, 892, 13, 1102, 374, 706, 18811, 320, 15, 8, 93621, 82, 627, 12834, 433, 706, 912, 93621, 82, 11, 433, 706, 912, 69996, 779, 433, 20628, 279, 7452, 478, 3284, 198, 20885, 369, 264, 3428, 93621, 41394, 627, 36, 5481, 4223, 916, 5761, 674, 605, 24062, 38122, 356, 1711, 6207, 198, 36, 5481, 4223, 916, 5761, 674, 1187, 24062, 49654, 28078, 22806, 277, 482, 24062, 38122, 70819, 198, 36, 5481, 4223, 916, 5761, 674, 1591, 469, 5481, 4223, 22806, 277, 482, 24062, 38122, 6207, 40715, 12292, 22806, 277, 220, 19, 25, 16, 51848, 264, 12842, 30349, 28296, 97744, 55114, 369, 469, 5481, 4223, 916, 22806, 277, 15264, 1115, 682, 7580, 97744, 54614, 374, 32971, 439, 459, 9250, 4689, 7580, 3769, 449, 1695, 32373, 323, 1933, 38231, 13, 1102, 374, 16168, 54097, 1752, 323, 649, 9093, 387, 1511, 304, 25366, 5789, 627, 36, 5481, 4223, 916, 5761, 674, 11057, 10164, 9785, 481, 469, 5481, 4223, 22806, 277, 21625, 198, 77518, 70819, 6207, 482, 5764, 469, 5481, 4223, 916, 5761, 674, 10697, 198, 77518, 70819, 3235, 449, 279, 24069, 13, 19771, 279, 2380, 6956, 3871, 369, 264, 5644, 311, 1005, 1887, 627, 36, 5481, 4223, 916, 5761, 674, 12405, 24062, 38122, 70819, 264, 10819, 2373, 315, 5761, 674, 12405, 11383, 1511, 304, 24062, 38122, 70819, 8522, 11, 477, 1405, 264, 1633, 5043, 743, 374, 4460, 198, 36, 5481, 4223, 916, 5761, 674, 22889, 24062, 70819, 469, 5481, 4223, 88125, 374, 264, 220, 1041, 4, 82486, 198, 10516, 17515, 11, 3428, 99530, 11, 3428, 9499, 97330, 88125, 323, 1369, 13412, 13, 1102, 1253, 387, 1511, 439, 264, 198, 3617, 3212, 369, 904, 469, 5481, 4223, 916, 15899, 11, 439, 264, 2559, 7636, 198, 325, 13412, 13, 1102, 1253, 1101, 387, 11093, 449, 469, 5481, 4223, 916, 5761, 198, 2, 2495, 311, 1376, 264, 12310, 12, 4559, 58560, 13, 469, 5481, 4223, 916, 5761, 674, 22889, 198, 77518, 70819, 469, 5481, 4223, 88125, 374, 220, 1041, 4, 82486, 449, 330, 15, 1, 320, 14486, 340, 53, 7767, 11, 902, 3445, 433, 706, 21907, 912, 2015, 323, 690, 3449, 198, 17206, 279, 7452, 478, 3428, 93621, 10886, 627, 36, 5481, 4223, 916, 5761, 674, 22889, 24062, 70819, 469, 5481, 4223, 88125, 198, 285, 35426, 60394, 369, 9439, 9499, 8522, 13, 469, 5481, 4223, 916, 5761, 674, 22889, 24062, 70819, 469, 5481, 4223, 88125, 374, 3025, 311, 27208, 1523, 311, 220, 1758, 59572, 13, 469, 5481, 4223, 916, 5761, 674, 22889, 24062, 70819, 469, 5481, 4223, 88125, 198, 285, 3629, 1511, 304, 7155, 388, 323, 3691, 18459, 5789, 430, 1205, 311, 387, 8774, 520, 264, 6926, 9499, 13, 469, 5481, 4223, 916, 5761, 674, 22889, 24062, 70819, 469, 5481, 4223, 88125, 374, 14134, 1511, 520, 3130, 9499, 198, 83553, 1405, 264, 2307, 74768, 97330, 1887, 374, 2631, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 62053, 11, 14689, 11, 29538, 11, 26036, 323, 1457, 21272, 13, 763, 279, 3347, 2380, 4038, 11, 4330, 5415, 617, 44977, 7016, 430, 35906, 9067, 2680, 311, 20710, 2001, 7170, 439, 4216, 439, 4848, 5672, 1139, 264, 20209, 13, 578, 21272, 2383, 430, 574, 8667, 555, 279, 19582, 1566, 2046, 48609, 20710, 304, 7154, 682, 5157, 11, 449, 912, 20157, 369, 17199, 477, 43980, 11, 323, 24266, 709, 311, 264, 220, 1484, 4771, 9527, 11914, 369, 16410, 889, 2804, 279, 10537, 13, 1115, 3293, 993, 349, 315, 20710, 17294, 15785, 279, 1455, 2167, 8815, 304, 3293, 5044, 311, 79552, 348, 13, 43982, 11, 279, 220, 4468, 18, 13814, 7301, 5597, 430, 9749, 264, 25543, 1314, 311, 20710, 3156, 279, 76688, 25501, 68507, 11, 6118, 2212, 220, 1187, 5672, 315, 20209, 627, 791, 4585, 369, 1521, 7016, 3287, 1431, 2586, 704, 315, 28211, 13, 2435, 3207, 961, 315, 459, 19738, 502, 8446, 304, 279, 5897, 4465, 927, 20710, 11, 902, 706, 81700, 2533, 9540, 26137, 41323, 1614, 15312, 2859, 304, 220, 679, 15, 13, 9393, 315, 1521, 9045, 11, 433, 753, 2736, 810, 5107, 311, 636, 459, 20710, 304, 1063, 5596, 315, 279, 3224, 1109, 433, 574, 264, 13515, 4227, 13, 4800, 11, 4856, 1109, 14691, 311, 16797, 3201, 520, 20710, 2680, 11, 1063, 7294, 96583, 28424, 1390, 311, 4546, 264, 1162, 311, 279, 13814, 7301, 430, 1436, 3063, 311, 279, 67687, 287, 315, 79552, 323, 2187, 5415, 311, 9120, 20710, 6724, 2001, 264, 5915, 430, 5084, 3284, 369, 279, 1176, 892, 304, 11026, 1606, 315, 264, 502, 4330, 12, 39868, 15692, 8857, 389, 279, 13814, 7301, 627, 35816, 4131, 264, 892, 994, 584, 1205, 311, 3009, 58499, 2212, 279, 13116, 315, 20710, 2476, 1071, 54765, 39037, 11, 459, 7294, 96583, 28941, 323, 4216, 463, 1166, 315, 1054, 73571, 863, 7016, 11, 1093, 16272, 753, 11, 430, 9120, 54373, 1306, 63746, 47345, 5820, 649, 387, 16914, 11, 902, 649, 387, 439, 4216, 439, 4848, 5672, 1139, 264, 20209, 13, 4314, 7016, 11, 1364, 1071, 11, 1051, 1054, 80894, 311, 387, 279, 18404, 304, 279, 4851, 315, 79552, 348, 13, 43982, 49216, 4071, 420, 293, 2061, 5603, 1253, 387, 264, 64901, 13, 3011, 753, 1606, 48609, 389, 54373, 304, 279, 1176, 75110, 261, 315, 264, 20209, 320, 455, 311, 220, 1032, 5672, 8, 7784, 1431, 304, 1584, 449, 1455, 9053, 529, 6325, 389, 20710, 13, 1628, 56501, 420, 502, 8446, 2643, 3604, 6435, 7294, 96583, 28424, 529, 24151, 422, 2225, 13063, 323, 12643, 1005, 279, 48609, 311, 51085, 389, 279, 13814, 7301, 439, 264, 4901, 4360, 304, 220, 2366, 15, 627, 10445, 20710, 19949, 6656, 311, 49636, 20710, 40228, 198, 12834, 220, 679, 16, 11, 1614, 48962, 617, 5946, 11758, 315, 17294, 389, 20710, 11, 4184, 311, 279, 52683, 14046, 11252, 10181, 11, 264, 3495, 7471, 430, 11815, 5897, 20710, 13, 4314, 1614, 11852, 9045, 617, 1027, 16781, 323, 17226, 11, 323, 1524, 3582, 279, 2860, 1396, 315, 7016, 5946, 706, 28830, 505, 1060, 311, 1060, 323, 8111, 311, 387, 43848, 8244, 11, 279, 35435, 875, 304, 1176, 10398, 4350, 261, 20710, 7016, 304, 220, 679, 24, 8450, 264, 39375, 4315, 520, 3325, 1063, 20710, 19949, 311, 9395, 6089, 520, 79552, 13, 578, 9676, 3770, 5039, 4848, 4595, 315, 20710, 17294, 430, 11754, 2680, 369, 6822, 3278, 323, 1268, 4279, 814, 1051, 304, 1855, 1060, 13, 16, 320, 2688, 682, 7016, 6982, 3770, 527, 304, 2515, 11, 4869, 26, 1063, 617, 1027, 3060, 28191, 477, 31859, 19857, 555, 279, 19359, 29275, 2688, 2915, 11, 1690, 315, 1521, 17294, 3287, 1431, 6089, 8815, 279, 25543, 1314, 311, 20710, 26, 4619, 11, 814, 421, 1468, 839, 3201, 520, 2680, 311, 5897, 20710, 555, 49941, 14640, 389, 44335, 323, 20710, 16410, 323, 7999, 8670, 1093, 23911, 8725, 13811, 3171, 11, 42316, 323, 8748, 18852, 13, 1628, 8051, 1521, 9045, 9167, 1431, 1027, 78909, 6992, 304, 279, 19359, 11, 20710, 19949, 9167, 1431, 5675, 20930, 13, 1666, 499, 649, 1518, 304, 279, 9676, 11, 1524, 1306, 264, 2466, 79913, 520, 279, 13814, 7301, 304, 220, 679, 21, 11, 994, 4330, 71712, 16626, 311, 67687, 264, 743, 315, 8670, 389, 44335, 430, 2804, 54373, 304, 8421, 11, 279, 17294, 389, 20710, 44335, 1903, 709, 264, 5199, 21801, 315, 17294, 304, 279, 1060, 1306, 279, 17864, 11, 8051, 814, 41853, 369, 264, 9333, 4430, 304, 220, 679, 23, 323, 220, 679, 24, 627, 11663, 7016, 17550, 4040, 13124, 315, 20710, 2001, 369, 3187, 11, 264, 4279, 955, 315, 2132, 10398, 4350, 261, 20710, 2001, 477, 21501, 433, 369, 3738, 10096, 11, 1093, 20710, 369, 1877, 477, 7102, 6727, 477, 1606, 315, 19465, 75559, 13, 4273, 527, 15480, 555, 279, 13814, 7301, 311, 37377, 20710, 1306, 279, 76688, 374, 31528, 11, 902, 6118, 13980, 1990, 220, 1187, 323, 220, 1591, 5672, 315, 20209, 13, 1628, 505, 220, 679, 16, 3156, 420, 1060, 11, 48609, 389, 20710, 430, 1051, 3345, 311, 420, 68507, 12447, 2001, 3629, 2212, 220, 508, 5672, 315, 20209, 2001, 1051, 810, 4279, 1109, 1176, 10398, 4350, 261, 48609, 11, 902, 617, 3970, 264, 37393, 304, 220, 679, 24, 13, 1666, 499, 649, 1518, 304, 279, 1948, 2163, 315, 279, 9676, 11, 48609, 389, 20710, 2391, 279, 1176, 2478, 4038, 315, 20209, 617, 3719, 15098, 21102, 927, 279, 3347, 1403, 1667, 627, 791, 1121, 374, 264, 17395, 11140, 1816, 315, 20710, 7016, 430, 617, 1903, 433, 810, 892, 70840, 323, 11646, 311, 636, 279, 10537, 304, 3738, 5596, 315, 279, 3224, 13, 763, 5369, 311, 42316, 11, 8748, 4261, 323, 63859, 8670, 2001, 682, 315, 902, 649, 5376, 279, 892, 323, 2853, 5938, 449, 279, 10537, 2001, 44335, 617, 1027, 43071, 15676, 927, 279, 3347, 2478, 1667, 1606, 315, 264, 10824, 315, 9547, 11, 2737, 279, 502, 1614, 7016, 13, 25378, 753, 20710, 12850, 617, 83222, 839, 505, 4848, 304, 220, 1049, 23, 311, 832, 3432, 13, 1628, 22700, 315, 20710, 44335, 4028, 279, 4987, 323, 52257, 1051, 49056, 291, 1606, 315, 1614, 17294, 627, 644, 1063, 5627, 11, 279, 2450, 315, 1521, 17294, 1253, 617, 743, 459, 31293, 430, 264, 2539, 20710, 9120, 1053, 387, 1828, 11, 1071, 21393, 28512, 11, 10195, 1614, 4819, 6783, 520, 52683, 14046, 11252, 13, 1054, 12805, 499, 1522, 4330, 11, 220, 605, 11, 220, 868, 20710, 17294, 11, 1070, 753, 539, 1790, 2163, 311, 656, 719, 9120, 20710, 40228, 2476, 1364, 1071, 627, 4071, 420, 810, 14560, 8446, 374, 20733, 1524, 2949, 279, 7294, 96583, 7351, 13, 43655, 50990, 96960, 11, 10195, 16467, 369, 9053, 3723, 369, 9601, 11, 459, 7471, 430, 374, 5131, 59416, 369, 220, 508, 30609, 20710, 48609, 323, 1023, 17294, 1093, 23911, 8725, 13811, 3171, 11, 1071, 430, 568, 15849, 279, 502, 12330, 315, 7016, 374, 17821, 311, 26032, 279, 13814, 7301, 13, 1054, 40, 1781, 279, 5590, 5042, 690, 539, 6865, 1124, 2476, 568, 1071, 627, 11772, 18007, 11, 279, 502, 7016, 4097, 264, 6541, 3201, 505, 264, 1984, 430, 706, 1027, 8792, 311, 1690, 315, 279, 7016, 430, 617, 5946, 2533, 220, 679, 16, 2001, 279, 4623, 430, 17294, 389, 20710, 649, 387, 1695, 369, 3278, 13, 763, 27743, 37635, 323, 5590, 5157, 11, 71796, 315, 20710, 17294, 617, 687, 2954, 430, 7016, 1093, 28913, 14640, 323, 23911, 8725, 13811, 3171, 527, 13579, 323, 1524, 24629, 1606, 814, 6106, 430, 3278, 2216, 1390, 459, 20710, 323, 527, 12588, 279, 1888, 6593, 2512, 11, 8051, 1690, 304, 279, 6593, 4029, 2019, 1521, 14640, 527, 26225, 323, 1524, 28856, 13, 10455, 1901, 36110, 1565, 11, 264, 14561, 520, 9784, 3314, 3907, 9304, 315, 7658, 323, 279, 3229, 315, 1054, 6153, 79552, 25, 578, 28351, 11346, 315, 279, 3765, 26973, 83888, 2476, 1071, 430, 433, 574, 1054, 30972, 10789, 863, 1268, 279, 21272, 323, 16272, 7016, 14090, 23838, 420, 5811, 11, 4619, 21760, 389, 279, 1205, 311, 6144, 63746, 2324, 13, 2030, 420, 3351, 374, 10213, 704, 315, 3094, 449, 586, 9647, 2001, 323, 433, 1101, 1253, 387, 264, 14841, 520, 279, 13814, 7301, 627, 13622, 9053, 1541, 1431, 1390, 311, 9120, 20710, 40228, 198, 11439, 311, 23925, 11, 1455, 9053, 1541, 1431, 2873, 1093, 814, 1390, 279, 13814, 7301, 311, 67687, 79552, 348, 13, 43982, 25, 1789, 3187, 11, 264, 80901, 7230, 505, 5887, 220, 679, 23, 1766, 430, 220, 1227, 3346, 315, 9053, 1390, 279, 17864, 311, 7293, 304, 2035, 13, 1628, 304, 459, 6287, 220, 679, 23, 19921, 5513, 22964, 32799, 3962, 7230, 2001, 279, 1566, 892, 814, 4691, 34281, 420, 3488, 2001, 1403, 45726, 315, 9053, 1071, 814, 3060, 4934, 279, 13814, 7301, 311, 1304, 433, 8831, 311, 636, 459, 20710, 320, 1691, 3346, 8, 477, 311, 5387, 279, 5845, 311, 636, 459, 20710, 279, 1890, 439, 433, 374, 1457, 320, 1774, 3346, 570, 67720, 3346, 4934, 279, 13814, 7301, 311, 1304, 433, 810, 5107, 311, 636, 459, 20710, 627, 51460, 22155, 389, 20710, 3010, 304, 20209, 2001, 1093, 220, 508, 30609, 20710, 48609, 2001, 617, 4036, 8857, 1862, 304, 1063, 23925, 11, 323, 4184, 311, 279, 220, 679, 23, 80901, 7230, 11, 220, 2397, 3346, 315, 9053, 1071, 20710, 1288, 387, 12079, 304, 279, 2132, 2380, 4038, 315, 20209, 13, 2030, 220, 1399, 3346, 315, 9053, 304, 430, 1890, 80901, 7230, 1071, 20710, 1288, 387, 5897, 304, 279, 1176, 2380, 4038, 315, 20209, 13, 578, 502, 21272, 2383, 753, 6996, 315, 20157, 369, 5157, 315, 17199, 477, 43980, 1253, 1304, 433, 8104, 66858, 11, 13126, 430, 80901, 1101, 1766, 430, 7154, 220, 1490, 3346, 315, 9053, 1781, 20710, 1288, 387, 5897, 304, 520, 3325, 1063, 13463, 627, 33987, 1494, 58131, 9469, 4896, 11, 10195, 16467, 369, 1442, 14, 4599, 14, 4438, 11, 264, 1912, 430, 11815, 323, 28424, 369, 20710, 2680, 11, 1071, 430, 3156, 1457, 11, 20710, 87656, 15879, 617, 1047, 264, 2653, 892, 29905, 4954, 11969, 1606, 20710, 706, 1027, 3970, 439, 264, 1054, 11851, 383, 863, 4360, 11, 8994, 279, 53840, 315, 17294, 520, 279, 1614, 2237, 13, 3011, 20710, 19949, 527, 1457, 6089, 23664, 279, 89846, 315, 1176, 10398, 4350, 261, 20710, 2001, 4856, 1109, 21760, 389, 17294, 389, 2680, 2001, 1436, 387, 264, 1054, 91019, 5352, 1650, 863, 369, 1274, 389, 279, 2163, 11, 1364, 1071, 627, 54644, 287, 1148, 279, 5054, 65252, 690, 1427, 1093, 374, 11292, 11, 3582, 13, 1102, 2643, 5042, 52875, 349, 15481, 323, 5054, 37601, 304, 279, 3224, 4856, 1109, 52588, 264, 2867, 12845, 311, 3060, 3185, 13, 2030, 3060, 1648, 11, 279, 4360, 5084, 4461, 311, 3719, 1524, 810, 77037, 1534, 323, 1436, 3719, 3062, 304, 279, 220, 2366, 15, 13621, 7102, 627, 32, 5054, 48156, 1253, 1304, 433, 16127, 369, 279, 13814, 7301, 311, 6013, 198, 8607, 5897, 11909, 4510, 14681, 12007, 3842, 31248, 323, 279, 13814, 7301, 753, 15692, 8857, 527, 17821, 311, 67687, 79552, 682, 520, 3131, 11, 5423, 1606, 279, 71712, 1436, 4619, 42902, 704, 279, 1314, 311, 20710, 27115, 555, 10923, 5415, 311, 33330, 810, 323, 810, 17294, 4020, 2454, 2753, 20733, 398, 439, 37424, 369, 3278, 753, 2890, 627, 2520, 71796, 315, 7016, 1093, 21272, 753, 11, 279, 8137, 374, 430, 279, 1614, 11852, 48609, 2643, 1304, 31248, 477, 279, 1023, 34375, 389, 279, 5590, 1524, 4208, 1291, 922, 4737, 904, 20710, 1162, 304, 279, 2875, 4751, 13, 3011, 753, 1606, 814, 2643, 387, 44040, 311, 6037, 389, 264, 4106, 12726, 8712, 430, 2643, 387, 459, 4360, 304, 279, 220, 2366, 15, 6355, 13, 2684, 527, 1023, 20710, 5157, 304, 279, 5590, 753, 15660, 11, 719, 779, 3117, 11, 279, 71712, 617, 9508, 44040, 311, 6865, 1124, 13, 1628, 422, 279, 5054, 18742, 269, 2212, 279, 502, 1614, 7016, 27533, 988, 2001, 477, 1524, 10800, 279, 13814, 7301, 1139, 264, 4901, 4360, 304, 220, 2366, 15, 2001, 264, 369, 352, 1139, 279, 20710, 11249, 1253, 2873, 1524, 2753, 33352, 369, 279, 15692, 71712, 13, 2684, 374, 6029, 430, 1524, 71712, 449, 19569, 37256, 6013, 311, 586, 9647, 11, 323, 31248, 374, 8104, 16614, 922, 51866, 430, 279, 5590, 374, 1120, 2500, 6916, 315, 264, 49638, 5054, 5780, 13, 1054, 2181, 753, 3284, 279, 5590, 28727, 814, 3207, 1120, 539, 2133, 311, 3568, 449, 420, 1314, 1457, 11, 1418, 433, 753, 779, 77037, 1534, 2476, 1901, 36110, 1565, 1071, 627, 1966, 279, 1023, 1450, 11, 20710, 19949, 1253, 539, 617, 1790, 311, 9229, 555, 4560, 264, 810, 22520, 5603, 13, 7570, 422, 279, 13814, 7301, 58054, 311, 927, 13233, 79552, 348, 13, 43982 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 644, 65249, 374, 264, 2144, 315, 7100, 2324, 13, 58795, 5042, 11, 7194, 315, 3956, 323, 3600, 39388, 6426, 1198, 323, 11383, 5376, 1198, 927, 892, 11, 7859, 279, 3300, 4460, 311, 7782, 1884, 3956, 323, 3600, 13, 3011, 3445, 430, 264, 18160, 3432, 374, 5922, 264, 2763, 2753, 1109, 264, 18160, 11, 2019, 11, 1403, 11026, 4227, 13, 320, 44623, 11, 832, 2326, 18160, 304, 220, 7529, 17, 706, 279, 23395, 2410, 315, 927, 400, 1419, 3432, 29275, 63230, 5092, 398, 11, 1070, 753, 264, 18791, 3002, 311, 420, 24524, 13, 18056, 25544, 374, 49188, 40652, 311, 279, 907, 315, 3300, 11, 25983, 23395, 2410, 649, 387, 5663, 22955, 555, 1268, 1790, 4528, 3956, 2853, 927, 264, 4261, 315, 892, 13, 1115, 374, 5423, 837, 994, 433, 4131, 311, 2835, 1847, 51193, 323, 66049, 82, 320, 269, 31591, 8965, 705, 902, 617, 3719, 810, 17049, 927, 892, 11, 1524, 994, 2555, 5084, 311, 387, 810, 11646, 627, 1131, 35668, 527, 16168, 23917, 1109, 814, 4070, 3596, 1027, 627, 40, 4070, 1903, 279, 5811, 927, 279, 1566, 2478, 1667, 430, 3953, 527, 16168, 23917, 1109, 814, 4070, 3596, 1027, 13, 1556, 74313, 1847, 304, 220, 2550, 15, 2853, 11, 389, 5578, 11, 922, 400, 1135, 13, 3011, 753, 400, 4578, 304, 220, 679, 18, 3300, 13, 4718, 400, 2031, 452, 1227, 72833, 304, 220, 2550, 23, 1053, 1397, 279, 13890, 315, 400, 1041, 3432, 13, 73817, 11, 279, 400, 1135, 32365, 220, 17, 1847, 499, 11021, 304, 220, 1049, 20, 374, 5922, 400, 1399, 11, 279, 4839, 3430, 315, 264, 14595, 11040, 1847, 304, 220, 679, 18, 13, 1115, 4536, 956, 311, 2019, 430, 37532, 320, 269, 47729, 2343, 8, 617, 8774, 709, 449, 25544, 323, 279, 2853, 8838, 2922, 2299, 1198, 433, 77120, 12775, 956, 1198, 719, 433, 374, 311, 2019, 430, 11, 18160, 4791, 54135, 927, 279, 3347, 220, 1758, 1667, 11, 16211, 12035, 323, 3241, 374, 8965, 23917, 1109, 3596, 627, 67962, 304, 4040, 374, 1405, 12062, 304, 2853, 1389, 994, 24043, 369, 25544, 1389, 374, 9193, 38617, 13, 578, 32365, 220, 18, 1253, 617, 9508, 11646, 994, 433, 11887, 520, 400, 21944, 13, 1484, 304, 220, 1049, 21, 1389, 323, 433, 574, 1389, 719, 433, 753, 539, 279, 1455, 11646, 21391, 16211, 2393, 13, 3011, 16044, 5900, 311, 279, 84976, 220, 11387, 15, 13, 5034, 10880, 304, 6250, 315, 220, 4468, 22, 11, 279, 84976, 220, 11387, 15, 2853, 400, 2550, 13, 1484, 13, 3277, 4737, 1139, 2759, 279, 220, 15966, 13, 24, 3346, 25544, 4478, 1990, 220, 4468, 22, 323, 220, 679, 18, 11, 279, 84976, 220, 11387, 15, 2853, 279, 13890, 315, 400, 24876, 3432, 13, 3573, 6334, 4116, 1, 16211, 12035, 11383, 1047, 311, 4662, 927, 220, 605, 3610, 8316, 304, 2458, 2786, 11, 477, 5131, 387, 389, 279, 3157, 29275, 1131, 1820, 74313, 374, 3604, 279, 1455, 11646, 23643, 2393, 3596, 6004, 627, 38219, 23643, 2162, 51193, 2533, 279, 4984, 315, 279, 74313, 304, 220, 3753, 20, 4726, 46480, 420, 13, 18056, 279, 74313, 11887, 520, 264, 12756, 13579, 400, 2550, 13, 1484, 430, 1060, 11, 400, 2550, 13, 1484, 574, 264, 5199, 2694, 315, 3300, 304, 279, 5209, 12, 14336, 1490, 82, 13, 578, 25544, 4478, 2533, 220, 3753, 20, 374, 264, 55944, 220, 8546, 13, 19, 3346, 11, 7438, 430, 279, 74313, 374, 3604, 279, 1455, 11646, 23643, 2393, 3596, 6004, 1746, 2550, 13, 1484, 304, 220, 3753, 20, 17239, 400, 20165, 13, 3076, 304, 220, 679, 18, 4390, 791, 43149, 23643, 2393, 11, 994, 4737, 25544, 1139, 2759, 11, 374, 279, 4140, 44429, 11, 902, 11887, 304, 220, 1049, 16, 369, 400, 2550, 13, 1484, 323, 3432, 1053, 2853, 400, 12815, 13, 914, 13, 5659, 1070, 11, 279, 40292, 1746, 14735, 13, 1484, 304, 220, 1049, 21, 11, 400, 13754, 304, 220, 679, 18, 705, 23643, 220, 1227, 1746, 2550, 13, 1484, 304, 220, 2550, 21, 11, 400, 17690, 13, 806, 304, 220, 679, 18, 705, 323, 7445, 23643, 1746, 2550, 13, 1484, 304, 220, 2550, 16, 11, 400, 16522, 13, 3174, 304, 220, 679, 18, 8, 4883, 704, 279, 1160, 13, 578, 40292, 549, 11, 3515, 1193, 2586, 704, 1566, 1060, 11, 47521, 505, 1193, 264, 220, 16, 13, 24, 3346, 25544, 4478, 11, 993, 19787, 1202, 3430, 1193, 400, 21, 13, 5495, 627, 644, 65249, 706, 1027, 3117, 3169, 261, 311, 23643, 753, 66049, 82, 9522, 644, 65249, 706, 1027, 3117, 3169, 261, 311, 23643, 753, 66049, 82, 1389, 5423, 279, 4140, 16576, 1584, 1389, 67908, 1120, 1268, 12136, 814, 1051, 1524, 520, 279, 892, 814, 1051, 6004, 13, 578, 4113, 4140, 16576, 11, 11887, 304, 220, 3753, 24, 369, 264, 17983, 400, 4578, 13, 1484, 11, 1053, 1193, 2853, 400, 11739, 13, 5958, 3432, 320, 266, 264, 220, 2421, 13, 21, 3346, 25544, 4478, 570, 4140, 16576, 3562, 11, 6004, 304, 279, 7474, 315, 220, 2550, 23, 369, 279, 3428, 2694, 315, 400, 3076, 13, 1484, 11, 1053, 2853, 1193, 400, 1041, 3432, 11, 449, 264, 220, 1272, 13, 19, 3346, 25544, 4478, 13, 4140, 16576, 47396, 9731, 279, 9327, 11, 28818, 304, 279, 4216, 7474, 315, 220, 1049, 16, 369, 400, 1484, 13, 1484, 11, 279, 13890, 315, 400, 9413, 13, 717, 3432, 627, 28474, 430, 311, 5161, 16519, 753, 43940, 311, 279, 4140, 16576, 11, 279, 11863, 5773, 1113, 11, 1933, 30360, 291, 4140, 28603, 13, 3277, 4140, 28603, 11887, 304, 220, 2550, 16, 11, 433, 2853, 400, 10161, 13, 1484, 13, 3011, 753, 400, 15574, 13, 3487, 304, 220, 679, 18, 3300, 11, 4737, 1139, 2759, 264, 220, 6028, 13, 22, 3346, 25544, 4478, 1990, 1243, 323, 1457, 627, 87079, 753, 21223, 1584, 374, 26627, 11, 323, 16472, 3250, 1431, 7831, 439, 1790, 505, 279, 13552, 1105, 315, 25544, 627, 87079, 753, 21223, 1584, 374, 26627, 11, 323, 16472, 3250, 1431, 7831, 439, 1790, 505, 279, 13552, 1105, 315, 25544, 13, 578, 4113, 23643, 21223, 11, 902, 11887, 304, 279, 4498, 315, 220, 1049, 19, 520, 400, 10161, 13, 1484, 11, 1053, 1193, 387, 93342, 311, 400, 9741, 13, 2031, 3432, 11, 10494, 433, 1664, 2949, 279, 1054, 76571, 2718, 33705, 863, 2134, 13, 220, 18, 6061, 11, 2288, 11, 12775, 1431, 3970, 1202, 3430, 10205, 1790, 13, 3161, 264, 17983, 3116, 3346, 25544, 4478, 1990, 220, 679, 16, 323, 1457, 11, 23643, 220, 18, 6061, 529, 4113, 3430, 4877, 315, 400, 14735, 13, 1484, 1053, 4933, 1202, 3430, 2753, 1109, 400, 605, 1746, 24, 13, 4331, 11, 311, 387, 4839, 4390, 9315, 20348, 753, 10937, 311, 23643, 753, 66049, 82, 1389, 279, 69914, 323, 11, 810, 6051, 11, 279, 55724, 1389, 2225, 11887, 520, 400, 14735, 13, 1484, 304, 220, 1049, 20, 323, 220, 679, 17, 11, 15947, 13, 3011, 3445, 69914, 11, 3432, 11, 1053, 2853, 400, 15531, 13, 1806, 320, 266, 220, 777, 13, 23, 3346, 25544, 705, 449, 55724, 3117, 287, 2731, 11, 449, 1193, 264, 220, 16, 13, 24, 3346, 25544, 4478, 11, 323, 16472, 54824, 1193, 400, 19, 13, 2287, 810, 1109, 1202, 2926, 10371, 3430, 627, 35982, 399, 753, 62540, 1131, 617, 2267, 2757, 2731, 1606, 315, 872, 4827, 20081, 4441, 7729, 627, 937, 16519, 753, 51193, 617, 1629, 279, 9192, 332, 315, 21913, 11, 449, 5161, 16519, 50253, 1694, 8530, 279, 1455, 304, 76571, 2718, 33705, 520, 279, 892, 315, 1202, 4984, 11, 902, 3727, 25544, 5115, 653, 15674, 13, 3277, 50253, 11887, 320, 412, 315, 279, 6437, 11, 4059, 499, 8, 304, 220, 2550, 20, 11, 433, 2853, 400, 18572, 13, 1484, 11, 477, 279, 3430, 315, 279, 32365, 220, 19, 3432, 13, 2030, 400, 18572, 13, 1484, 304, 220, 2550, 20, 374, 5922, 400, 22922, 13, 5833, 3432, 11, 94012, 1120, 1268, 1579, 430, 3430, 574, 520, 279, 892, 627, 35982, 399, 753, 62540, 11, 389, 279, 1023, 1450, 11, 617, 2267, 2757, 2731, 1606, 315, 872, 4827, 20081, 4441, 7729, 13, 11060, 744, 11, 11887, 304, 220, 3753, 21, 520, 400, 2550, 13, 1484, 11, 1053, 2853, 400, 20363, 13, 4767, 3432, 11, 449, 264, 220, 8190, 13, 19, 3346, 25544, 4478, 13, 41888, 11, 11887, 304, 220, 3753, 24, 520, 264, 10284, 4827, 3430, 1486, 1198, 400, 9378, 13, 1484, 1389, 1053, 2853, 400, 17112, 13, 1958, 3432, 11, 449, 459, 220, 2421, 13, 21, 3346, 25544, 4478, 13, 18308, 3914, 11, 902, 3782, 311, 3157, 389, 279, 1023, 3185, 315, 279, 50253, 753, 8060, 11, 2853, 400, 2550, 13, 1484, 304, 220, 2550, 24, 11, 13890, 311, 400, 11209, 13, 2075, 3432, 627, 2688, 29392, 11, 21533, 753, 32365, 6883, 5602, 1202, 1455, 11646, 11751, 519, 304, 220, 1049, 21, 753, 32365, 220, 18, 11, 323, 449, 264, 23900, 25544, 4478, 1990, 1243, 323, 1457, 315, 220, 845, 3346, 11, 1202, 400, 21944, 13, 1484, 2853, 3312, 988, 311, 400, 23578, 13, 2304, 3432, 13, 578, 4113, 32365, 11, 11887, 304, 279, 9909, 304, 220, 2550, 20, 520, 400, 15531, 13, 1484, 11, 1053, 2853, 400, 16551, 13, 1806, 3432, 11, 1418, 32365, 220, 17, 11, 11887, 304, 220, 1049, 15, 369, 459, 20086, 400, 15531, 13, 1484, 3430, 1486, 11, 1053, 2853, 400, 18501, 13, 2096, 3432, 627, 13068, 753, 2380, 21222, 51193, 617, 17454, 810, 11646, 927, 892, 13, 578, 4113, 11, 67459, 21222, 11, 11887, 304, 220, 1049, 16, 520, 400, 15531, 13, 1484, 11, 7194, 810, 1093, 400, 19615, 3432, 13, 21222, 220, 6843, 11, 11887, 304, 220, 1049, 20, 520, 400, 18572, 13, 1484, 11, 1053, 2853, 400, 21848, 3432, 13, 1628, 21222, 3861, 11, 902, 4131, 704, 1828, 2305, 11, 690, 2853, 400, 18162, 13, 1484, 304, 220, 679, 18, 8515, 627, 6255, 258, 95297, 6862, 374, 50939, 753, 19903, 12865, 13, 1472, 649, 1833, 1461, 389, 6405, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128000, 9312, 936, 50905, 452, 51758, 27307, 14496, 198, 1383, 30639, 8458, 358, 2308, 969, 12, 4438, 616, 11, 12432, 323, 356, 1073, 94006, 11, 20680, 683, 10181, 198, 50, 402, 683, 8121, 8068, 51730, 79577, 11, 12332, 11, 323, 21347, 304, 279, 40096, 520, 5767, 936, 50905, 452, 51758, 198, 9312, 936, 50905, 452, 51758, 374, 18949, 311, 4668, 420, 8810, 5117, 5439, 555, 30639, 8458, 358, 2308, 969, 12, 4438, 616, 11, 12432, 323, 356, 1073, 94006, 315, 279, 20680, 683, 10181, 11, 264, 3728, 7471, 12514, 311, 44169, 1239, 75989, 17808, 30029, 323, 61876, 51876, 323, 16763, 1974, 6373, 13, 578, 20680, 683, 2128, 6051, 12263, 5767, 936, 50905, 452, 51758, 369, 264, 9293, 31114, 323, 311, 4726, 1202, 990, 304, 35148, 10913, 5270, 13, 19545, 8604, 75084, 683, 22697, 627, 791, 20680, 683, 10181, 323, 1202, 3728, 4009, 527, 12514, 311, 1239, 94207, 279, 16763, 8329, 315, 279, 1917, 13, 5751, 2128, 374, 17693, 11411, 311, 6968, 4787, 315, 37492, 439, 584, 733, 922, 57911, 4363, 6108, 10105, 311, 3728, 24521, 2461, 323, 10182, 2349, 13, 3765, 98681, 323, 20057, 1977, 56062, 323, 527, 20124, 315, 279, 16940, 2890, 315, 264, 1887, 13, 578, 84911, 315, 26031, 2890, 374, 264, 6332, 315, 5696, 315, 1057, 7471, 627, 4599, 433, 4131, 311, 84911, 26031, 2890, 11, 10371, 1148, 22037, 10825, 374, 264, 1695, 6041, 1486, 13, 763, 2015, 311, 10299, 4363, 304, 22037, 753, 2217, 11, 584, 617, 311, 1440, 477, 520, 3325, 617, 264, 1695, 8101, 520, 1148, 22037, 10825, 369, 430, 6710, 315, 4363, 13, 362, 27989, 22842, 315, 279, 4363, 11, 61325, 20680, 683, 753, 1401, 26793, 617, 9087, 20957, 2212, 279, 1917, 27661, 872, 4363, 627, 4054, 315, 61325, 753, 1401, 26793, 374, 279, 7434, 315, 38430, 83, 77319, 13, 64117, 77319, 11, 304, 420, 1162, 11, 1587, 539, 3152, 8508, 1429, 719, 19813, 311, 279, 8141, 315, 38193, 6957, 279, 1060, 13, 1102, 374, 1633, 3062, 311, 3619, 1405, 264, 6710, 315, 4363, 15812, 389, 279, 38430, 83, 77319, 5569, 11, 439, 279, 1890, 7526, 690, 617, 311, 387, 9435, 22009, 323, 690, 617, 2204, 20124, 13, 2057, 7216, 704, 1405, 499, 527, 389, 279, 38430, 83, 77319, 5569, 11, 499, 1253, 1427, 520, 1268, 6136, 3769, 374, 15061, 1523, 1389, 374, 433, 5868, 1303, 323, 6160, 30450, 1654, 17718, 11, 477, 374, 433, 36172, 4954, 11, 11509, 11, 323, 13353, 14198, 323, 1243, 18004, 30, 8886, 74718, 16763, 11012, 7982, 40069, 3871, 11, 477, 527, 1070, 3544, 5789, 315, 12743, 5015, 323, 61246, 17614, 5380, 36328, 11489, 22484, 527, 3280, 750, 67038, 11, 902, 3445, 430, 2391, 279, 9235, 3280, 24156, 5820, 3846, 2315, 13, 578, 16996, 3560, 315, 279, 39999, 344, 461, 304, 1521, 22484, 374, 311, 4546, 304, 32257, 323, 80727, 320, 258, 279, 14322, 268, 8, 311, 6160, 30450, 61843, 279, 58758, 430, 14264, 304, 279, 67038, 3280, 11, 5510, 279, 17614, 11, 323, 10772, 279, 6136, 311, 5371, 40120, 1578, 994, 62555, 1212, 13, 1115, 374, 1148, 7077, 369, 384, 2439, 439, 16763, 8329, 28995, 13, 763, 2536, 1481, 1018, 11489, 22484, 11, 1405, 38193, 374, 1579, 323, 279, 31815, 315, 11012, 8741, 1060, 21691, 11, 279, 3560, 315, 279, 39999, 344, 461, 374, 2753, 9200, 311, 26031, 2890, 1389, 23367, 323, 80727, 527, 4642, 323, 520, 990, 704, 304, 279, 1825, 4676, 11, 682, 279, 892, 627, 3561, 94207, 264, 51269, 63641, 198, 11458, 11, 304, 1690, 2536, 1481, 1018, 11489, 22484, 11, 279, 18921, 706, 1027, 5614, 555, 3823, 5820, 323, 264, 502, 1614, 3966, 311, 387, 9152, 28178, 13, 1115, 374, 279, 1162, 304, 279, 4851, 315, 6366, 32380, 53049, 11, 1405, 304, 7634, 11, 279, 11422, 51755, 706, 1027, 9107, 709, 555, 3823, 5820, 11, 323, 3347, 1439, 369, 84550, 617, 1027, 39441, 13, 6104, 84550, 11, 304, 4689, 11, 649, 387, 2653, 389, 904, 4363, 430, 374, 11383, 13952, 291, 11, 61876, 13205, 84550, 11, 16239, 279, 7351, 315, 51876, 304, 264, 1648, 430, 28003, 1233, 5933, 84550, 12912, 315, 8545, 1077, 5469, 11, 649, 5376, 17614, 12782, 323, 7417, 73119, 11, 323, 1121, 304, 50123, 41947, 3691, 11, 264, 6485, 323, 59780, 4676, 11, 323, 9498, 17614, 13, 3277, 2884, 5076, 11, 682, 315, 1521, 34824, 315, 26031, 2890, 7831, 627, 2170, 20957, 11, 1057, 6156, 1988, 374, 52495, 11, 323, 1057, 54711, 12014, 374, 311, 24322, 433, 4669, 7397, 74767, 315, 11012, 13, 1789, 20957, 304, 279, 21965, 1233, 3318, 449, 3347, 1439, 11, 5933, 477, 39441, 11, 39999, 344, 4692, 10489, 9152, 527, 1401, 311, 88278, 279, 5845, 315, 11012, 311, 7397, 1910, 27985, 11, 513, 724, 261, 12782, 304, 69561, 11, 323, 50460, 10182, 2349, 13, 16071, 4633, 13205, 84550, 8779, 20957, 656, 420, 1418, 24043, 369, 279, 52909, 38864, 323, 23965, 814, 1205, 311, 10299, 369, 627, 25763, 1561, 4075, 11, 356, 1073, 94006, 315, 5767, 936, 50905, 452, 51758, 44668, 320, 6254, 45, 705, 374, 264, 1054, 27995, 261, 1109, 2324, 863, 29115, 369, 10917, 12782, 26326, 4669, 7397, 74767, 315, 9498, 6136, 10977, 13, 5046, 3388, 11, 12966, 323, 10099, 527, 1401, 2955, 323, 8292, 6956, 315, 813, 990, 13, 8529, 374, 25429, 922, 323, 29329, 311, 86644, 73119, 1555, 279, 35482, 1920, 315, 17843, 50123, 41947, 11, 9498, 3691, 1239, 804, 8046, 1418, 4857, 70225, 69561, 13, 1115, 5603, 374, 1401, 311, 28118, 10182, 2349, 13, 8529, 753, 27692, 374, 279, 63615, 6366, 5767, 936, 50905, 452, 51758, 11, 459, 86810, 315, 37492, 323, 9096, 304, 279, 4851, 315, 32380, 53049, 13, 5414, 15507, 311, 69606, 5383, 315, 279, 4363, 11, 10099, 11, 323, 1274, 374, 14243, 323, 91426, 16070, 555, 13062, 45, 60891, 356, 1073, 94006, 323, 18945, 55628, 323, 11060, 24565, 86445, 627, 67660, 86445, 320, 75, 8, 323, 8529, 1561, 4075, 198, 25763, 574, 12304, 323, 342, 1810, 1570, 36387, 994, 358, 8813, 704, 311, 4358, 279, 4623, 315, 5108, 449, 61325, 20680, 683, 323, 279, 2128, 311, 5767, 936, 50905, 452, 51758, 369, 264, 2046, 315, 99250, 990, 13, 4740, 682, 11, 1148, 2731, 2035, 369, 1057, 2128, 311, 3449, 1109, 420, 89115, 39039, 277, 315, 1239, 75989, 30029, 30, 578, 4623, 6244, 264, 8903, 304, 6664, 439, 584, 20802, 520, 13062, 45, 311, 2955, 20680, 683, 753, 220, 679, 24, 8446, 627, 74640, 20202, 11, 12332, 11, 85619, 4235, 35236, 1590, 315, 1057, 1252, 57546, 4212, 520, 5767, 936, 50905, 452, 51758, 198, 46233, 2203, 20202, 863, 3782, 505, 279, 15400, 13444, 323, 64543, 315, 279, 5933, 323, 5918, 12908, 11, 279, 20229, 48728, 603, 709, 304, 279, 6693, 449, 872, 11936, 11, 279, 56227, 315, 279, 35148, 26390, 584, 2751, 311, 12945, 520, 279, 2385, 315, 279, 12690, 430, 39786, 1124, 11, 323, 279, 19837, 51798, 839, 2212, 279, 13952, 11, 389, 1057, 61253, 11, 323, 1057, 7013, 41625, 627, 48799, 7716, 299, 660, 57895, 4919, 12459, 26390, 520, 50905, 452, 51758, 198, 45, 60955, 87427, 23414, 3235, 28059, 921, 613, 55748, 13, 11064, 555, 8529, 72004, 8674, 198, 35515, 10333, 13722, 507, 897, 408, 19736, 1051, 1070, 555, 279, 11758, 477, 9214, 198, 3556, 584, 1051, 520, 279, 8961, 4999, 2688, 682, 279, 26390, 1051, 10437, 13, 7181, 279, 281, 25369, 2768, 36263, 315, 1054, 76, 318, 15222, 863, 264, 14441, 14520, 1054, 49938, 318, 8385, 2476, 264, 8844, 315, 6917, 36698, 430, 3250, 1431, 20753, 449, 1694, 10437, 0, 2435, 1427, 323, 12945, 1093, 20897, 3820, 645, 7982, 6089, 505, 279, 5021, 49695, 198, 46324, 6374, 41245, 307, 86529, 3139, 682, 2212, 279, 8961, 11, 82019, 32390, 291, 449, 1023, 11012, 304, 18859, 449, 1239, 75989, 16565, 13, 5810, 753, 264, 89858, 45088, 1450, 7230, 2617, 627, 49, 3042, 332, 598, 1051, 77315, 555, 279, 9214, 1022, 279, 11758, 315, 12690, 7982, 2212, 279, 8961, 13, 4314, 12945, 1093, 279, 10437, 478, 14869, 1557, 288, 499, 4070, 3596, 61580, 627, 11874, 49659, 304, 832, 0, 1054, 45, 41320, 797, 863, 374, 279, 6453, 10533, 23712, 555, 264, 2579, 32635, 430, 11, 994, 32720, 323, 5015, 11, 584, 1650, 1054, 76, 580, 49216, 3112, 1243, 1070, 574, 272, 15459, 682, 927, 279, 8961, 0, 1226, 10534, 279, 10437, 7878, 64188, 1314, 1022, 279, 5021, 11, 323, 1243, 584, 1903, 279, 14154, 3297, 276, 48573, 315, 279, 44875, 323, 1148, 584, 1457, 1650, 18414, 505, 279, 96080, 323, 54662, 19595, 627, 74640, 20202, 3782, 439, 584, 1051, 20037, 304, 279, 11204, 315, 279, 11422, 51755, 323, 1051, 31256, 11, 5655, 4871, 1057, 15922, 11, 315, 1268, 584, 527, 2216, 832, 449, 682, 627, 32, 18589, 388, 33578, 304, 52554, 2391, 1057, 4034, 13, 10771, 311, 8529, 323, 24565, 11, 433, 1047, 2646, 1603, 14545, 25111, 11, 323, 584, 1051, 38564, 430, 279, 14880, 89858, 44865, 603, 4999, 50909, 279, 22674, 51755, 30727, 4804, 19177, 11, 459, 4228, 35331, 3221, 279, 60891, 323, 10960, 13, 1472, 3207, 3411, 520, 264, 58937, 445, 21473, 30050, 30608, 709, 1139, 279, 64071, 198, 3112, 315, 3388, 11, 369, 420, 15860, 315, 51876, 33218, 11, 20343, 3782, 505, 279, 51876, 430, 51933, 291, 37875, 11, 323, 10489, 11, 304, 279, 3347, 1439, 520, 5767, 936, 50905, 452, 51758, 627, 11874, 61095, 304, 279, 89355, 13, 578, 28875, 374, 1054, 8376, 1098, 4988, 2476, 14393, 264, 6651, 315, 220, 20, 14, 23, 16071, 12711, 323, 220, 18, 14, 23, 48035, 198, 3198, 5977, 279, 51876, 304, 279, 7625, 10789, 8216, 11, 1405, 814, 4774, 10437, 5554, 425, 505, 279, 1054, 79565, 6201, 863, 315, 11012, 7982, 3221, 279, 34479, 198, 50, 402, 683, 10195, 2068, 7690, 71984, 37940, 783, 11, 20680, 683, 27636, 7808, 505, 7188, 753, 34644, 5955, 369, 16071, 4633, 9744, 36221, 9259, 11, 323, 24565, 86445, 5678, 13375, 22323, 315, 26031, 2890, 2768, 20680, 683, 753, 37211, 5848, 95709, 56573, 320, 6903, 53, 8, 17447, 11, 323, 1051, 682, 14948, 555, 279, 6222, 6975, 1389, 323, 993, 1982, 291, 555, 279, 11341, 315, 264, 22999, 26332, 627, 791, 2128, 38464, 389, 264, 63857, 6693, 25052, 287, 279, 24429, 38210, 9152, 89355, 198, 2118, 34868, 2476, 1778, 16595, 5510, 369, 1057, 35826, 11, 3782, 505, 1057, 18939, 11, 8529, 323, 32618, 11, 24565, 11, 323, 279, 8056, 13062, 45, 5687, 889, 42777, 369, 603, 1093, 3070, 26, 889, 80220, 44033, 389, 603, 18872, 315, 69561, 323, 11012, 11, 10099, 2466, 323, 2678, 11, 315, 18414, 323, 19226, 11, 10182, 323, 55280, 11, 11987, 323, 9341, 11, 52786, 31817, 323, 1695, 14322, 1981, 323, 889, 11, 304, 11821, 872, 11879, 323, 11376, 369, 279, 3938, 11, 69671, 1057, 1866, 627, 2729, 304, 279, 3691, 13952, 21630, 945, 299, 762, 2508, 198, 15571, 18632, 323, 1695, 9736, 68797, 82, 1389, 279, 14787, 499, 1390, 311, 617, 4999, 38, 83895, 520, 51171, 50905, 311, 3197, 279, 1060, 311, 2586, 198, 32978, 323, 358, 11, 3235, 449, 279, 2128, 11, 6975, 922, 6160, 61002, 47979, 323, 198, 267, 287, 1752, 29829, 8083, 40558, 3339, 58041, 26828, 198, 2181, 574, 6612, 304, 1057, 84633, 11, 1694, 6220, 311, 68270, 11, 311, 8815, 11, 311, 3041, 709, 11, 311, 1935, 389, 810, 11, 323, 311, 27830, 2349, 13, 1102, 574, 6612, 304, 279, 26348, 315, 279, 55890, 14932, 603, 430, 7263, 26348, 311, 1057, 2919, 13, 1102, 14264, 16643, 1475, 1938, 11, 439, 584, 6222, 323, 27367, 1855, 1023, 753, 1917, 5182, 13, 94965, 279, 842, 315, 1057, 4822, 11, 1023, 6164, 315, 279, 32380, 53049, 1239, 75989, 30029, 7351, 11, 14971, 315, 39431, 971, 24079, 354, 438, 356, 556, 46523, 11, 11096, 323, 3779, 311, 279, 5647, 315, 4029, 323, 6975, 627, 2118, 47, 580, 2476, 430, 66684, 47964, 6666, 311, 279, 4545, 11, 264, 8352, 779, 96435, 994, 1057, 20663, 527, 16572, 311, 40320, 304, 1521, 5043, 65319, 3115, 13, 5751, 18338, 13639, 520, 5767, 936, 50905, 452, 51758, 1051, 279, 18067, 17323, 1389, 57264, 323, 8945, 1389, 4737, 872, 892, 311, 3351, 505, 9046, 311, 9046, 11, 439, 584, 15746, 1124, 304, 51517, 1981, 48408, 1523, 11, 1694, 3118, 627, 44, 3105, 323, 8945, 1403, 4791, 291, 18067, 17323, 304, 279, 13952, 3221, 279, 60891, 13, 578, 8945, 10456, 39825, 5196, 389, 279, 57264, 753, 2010, 323, 3663, 1389, 8056, 1268, 1364, 34512, 660, 36941, 1523, 4999, 2181, 79754, 304, 2539, 75657, 11, 28697, 323, 6530, 2391, 279, 1938, 11, 323, 304, 59938, 10409, 449, 43214, 323, 1514, 11, 28965, 39510, 323, 23008 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 791, 57535, 14890, 832, 4295, 662, 578, 62191, 4295, 4330, 2162, 8640, 13, 1472, 656, 279, 7033, 13, 4418, 1431, 1095, 279, 57535, 656, 279, 7033, 13, 2435, 32069, 8530, 220, 18, 11, 931, 315, 603, 311, 356, 12583, 8771, 11, 3686, 5068, 264, 7318, 28116, 315, 220, 508, 11, 11771, 13, 13266, 527, 14741, 6216, 13, 4427, 220, 1114, 11, 931, 12966, 15075, 477, 1047, 15075, 389, 872, 17981, 264, 11989, 369, 279, 1847, 315, 7159, 3814, 11, 6250, 220, 24, 11, 220, 679, 18, 11, 323, 3287, 1431, 1005, 433, 11, 4184, 311, 420, 37072, 38152, 627, 791, 2800, 315, 603, 11, 279, 220, 18, 11, 931, 315, 603, 889, 1511, 264, 11989, 18570, 15038, 15075, 2001, 323, 358, 22225, 3287, 1431, 7782, 10705, 2001, 584, 4024, 311, 279, 12544, 315, 9204, 709, 11, 902, 9711, 603, 304, 279, 32487, 2883, 315, 67765, 52186, 11, 9973, 569, 12168, 11, 13960, 66758, 11, 19455, 942, 36880, 339, 11, 32320, 20832, 323, 17882, 69913, 13, 13266, 7752, 8710, 709, 682, 927, 279, 3830, 5573, 13, 52186, 374, 279, 7564, 889, 6688, 709, 279, 832, 4295, 311, 279, 57535, 927, 11888, 36100, 13, 578, 3885, 9932, 4295, 279, 4330, 2162, 8640, 430, 41853, 369, 279, 11888, 8640, 16957, 555, 279, 62191, 627, 32, 36366, 62461, 92186, 2439, 311, 4284, 279, 57535, 3287, 1431, 1501, 709, 11, 719, 912, 11, 20426, 220, 1114, 11, 931, 1343, 519, 7085, 315, 279, 18042, 87139, 11, 358, 5602, 18217, 336, 449, 856, 1866, 6548, 13, 358, 5602, 30397, 55507, 11, 8965, 17508, 817, 1285, 19336, 1543, 11, 2187, 2162, 8640, 311, 813, 1176, 1403, 293, 10385, 323, 29602, 2972, 505, 1070, 13, 358, 5602, 16431, 50723, 11, 889, 2643, 387, 810, 15230, 481, 422, 568, 1051, 13673, 477, 264, 49112, 37500, 304, 279, 40972, 11, 3820, 709, 1405, 568, 2163, 1022, 279, 1566, 892, 568, 574, 2212, 11, 902, 374, 311, 2019, 20910, 1405, 430, 27860, 3245, 1120, 27212, 13, 358, 5602, 39315, 445, 34097, 320, 55202, 398, 8, 5471, 264, 912, 2902, 3328, 304, 279, 31487, 46386, 323, 264, 925, 315, 39315, 445, 34097, 753, 32746, 1615, 23772, 311, 5471, 58272, 2785, 52186, 449, 264, 1403, 2902, 3328, 627, 40, 1766, 11098, 3368, 11, 2288, 11, 719, 889, 3250, 1431, 5380, 14262, 311, 279, 6250, 315, 279, 45878, 13836, 13, 1102, 753, 279, 43641, 2305, 315, 1475, 1060, 11, 279, 26084, 2305, 315, 1475, 3280, 323, 11, 5029, 1203, 311, 220, 1049, 24, 11, 279, 9998, 505, 902, 539, 2500, 6068, 315, 6680, 649, 11000, 387, 49523, 13, 1102, 753, 994, 1070, 374, 912, 3987, 323, 912, 2944, 369, 904, 13, 1102, 753, 994, 25703, 287, 374, 60791, 1606, 279, 57535, 36342, 6920, 12466, 14432, 49995, 311, 1475, 6166, 21828, 1475, 6250, 13, 2435, 3207, 85692, 291, 13, 2435, 3207, 63074, 291, 13, 2435, 3207, 704, 79, 10880, 13, 2435, 3207, 704, 315, 433, 13, 2435, 3207, 220, 1544, 23651, 8748, 311, 387, 9879, 323, 539, 277, 1534, 627, 2181, 753, 1193, 14363, 6147, 422, 499, 10491, 311, 387, 14363, 6901, 555, 433, 13, 578, 57535, 8571, 889, 27441, 264, 1949, 11989, 1606, 11, 74777, 433, 682, 311, 47781, 11, 568, 753, 57727, 311, 20075, 323, 5041, 79, 7341, 11, 13434, 1431, 387, 14363, 6901, 555, 433, 13, 1283, 1288, 5766, 1701, 32847, 1093, 11, 1054, 2028, 374, 264, 64935, 2029, 3639, 64935, 30, 578, 57535, 10862, 420, 3280, 449, 912, 6140, 311, 656, 4205, 323, 814, 4070, 12439, 709, 311, 1884, 17078, 13, 2435, 4070, 7263, 433, 2162, 304, 1742, 555, 80417, 5694, 315, 3025, 13162, 323, 57042, 43839, 811, 304, 12178, 315, 6250, 11, 28592, 15803, 287, 430, 420, 6250, 1053, 10570, 1790, 439, 279, 832, 1603, 433, 323, 279, 832, 1603, 430, 323, 779, 389, 13, 4343, 279, 26120, 389, 279, 24833, 13, 2684, 2011, 387, 264, 17575, 922, 3987, 1694, 27010, 389, 279, 35022, 505, 6250, 220, 16, 4741, 627, 3112, 279, 4027, 2082, 2011, 617, 2555, 311, 2019, 922, 87799, 220, 1114, 11, 931, 9525, 774, 33220, 505, 16661, 1555, 904, 18618, 627, 4071, 358, 1550, 26202, 369, 420, 16720, 13, 358, 74771, 99325, 13, 1472, 2019, 1054, 34, 12583, 8771, 2476, 323, 358, 2610, 11, 1054, 3923, 892, 12671, 358, 574, 1070, 1664, 1603, 220, 22, 25, 605, 13, 358, 34793, 311, 1057, 6041, 28612, 7376, 1418, 11689, 279, 2115, 2237, 13, 358, 15203, 323, 358, 1206, 5795, 1093, 358, 8967, 433, 627, 70850, 1022, 11, 279, 2163, 2115, 261, 11, 16645, 13566, 11, 16014, 627, 59500, 1303, 2132, 11, 279, 2132, 84403, 11, 15469, 31053, 627, 59500, 1303, 4948, 11, 279, 1314, 2115, 261, 11, 13929, 10690, 627, 5176, 5795, 369, 1475, 832, 315, 1124, 13, 1398, 38477, 28361, 2085, 51705, 439, 358, 15203, 13, 358, 6755, 19093, 775, 1206, 3713, 477, 506, 51867, 11, 539, 1884, 3235, 279, 3613, 5366, 11, 539, 1884, 520, 872, 16712, 320, 501, 7313, 315, 902, 1051, 2103, 2561, 439, 279, 9042, 15753, 9017, 8254, 4390, 59500, 1303, 11999, 11, 279, 1176, 84403, 11, 32103, 423, 8213, 627, 59500, 1303, 18172, 11, 279, 2875, 9684, 11, 23278, 34131, 627, 59500, 1303, 26084, 11, 279, 4219, 2115, 261, 11, 29604, 33471, 5518, 627, 40, 574, 13490, 20930, 11, 719, 358, 6612, 422, 358, 6688, 856, 1888, 311, 13929, 10690, 11, 358, 7846, 1431, 87900, 433, 505, 23278, 34131, 13, 1628, 3249, 1288, 358, 30, 34131, 4295, 1403, 2162, 8640, 304, 24372, 13, 10690, 753, 264, 2216, 26613, 11999, 6801, 58710, 67437, 261, 13, 358, 1436, 3821, 33471, 5518, 2571, 704, 31322, 3122, 261, 359, 5079, 682, 3814, 1981, 333, 1193, 279, 3122, 261, 359, 5079, 15058, 1431, 26267, 5535, 311, 1629, 2212, 279, 23963, 653, 6802, 31035, 3131, 279, 20953, 814, 4295, 23803, 279, 25675, 627, 59500, 1303, 31487, 11, 279, 4948, 84403, 11, 10785, 1195, 74052, 627, 59500, 1303, 37477, 11, 279, 68898, 11, 41810, 294, 529, 7098, 3458, 664, 627, 59500, 1303, 43641, 323, 47541, 11, 30397, 55507, 627, 2675, 1440, 1268, 279, 64626, 2064, 6572, 369, 264, 34422, 477, 264, 423, 76039, 477, 264, 92795, 994, 814, 3207, 7376, 439, 51910, 43641, 323, 47541, 30, 1102, 1587, 912, 1778, 3245, 369, 264, 30397, 55507, 13, 3011, 753, 264, 21648, 1455, 22178, 13, 1102, 753, 264, 21648, 279, 28278, 315, 33018, 279, 2162, 2128, 658, 51650, 2753, 20392, 1109, 279, 9455, 315, 11098, 3368, 13, 2030, 1070, 753, 264, 2763, 315, 49612, 2133, 2212, 7389, 499, 3207, 27702, 13, 21347, 520, 264, 57535, 11500, 367, 1147, 1847, 389, 7159, 3814, 11, 6250, 220, 24, 11, 220, 679, 18, 11, 3250, 1431, 14647, 1304, 499, 27702, 13, 21347, 520, 264, 57535, 11500, 367, 1147, 1847, 389, 7159, 3814, 11, 6250, 220, 24, 11, 220, 679, 18, 11, 4762, 3727, 499, 279, 82407, 315, 18570, 889, 574, 3411, 311, 636, 9463, 315, 264, 11989, 311, 430, 57535, 11500, 367, 1147, 1847, 13, 1666, 279, 28612, 753, 18528, 574, 7376, 304, 2539, 11, 358, 7846, 1431, 636, 1523, 389, 279, 220, 18, 11, 931, 14, 863, 508, 11, 11771, 22308, 304, 28116, 369, 539, 69002, 323, 20703, 10194, 323, 20806, 1521, 57535, 1440, 584, 3207, 4920, 1124, 627, 2675, 617, 311, 387, 27702, 311, 1440, 889, 1521, 7752, 527, 477, 1148, 814, 4070, 2884, 477, 311, 617, 459, 27513, 2785, 439, 311, 1148, 814, 2643, 656, 13, 5046, 1521, 11888, 3026, 889, 3952, 279, 2115, 12512, 57535, 45233, 304, 279, 2532, 315, 10494, 279, 62191, 529, 38678, 19942, 16388, 13989, 11, 2380, 1051, 11537, 304, 5936, 13, 14853, 810, 527, 5737, 439, 961, 315, 264, 1920, 10825, 311, 1304, 1124, 11537, 304, 279, 5936, 82, 8469, 13, 1628, 304, 1990, 11, 499, 617, 7752, 1694, 7376, 439, 6041, 369, 279, 1561, 4356, 57535, 1606, 279, 5718, 1397, 11888, 7752, 1212, 369, 1475, 2466, 10966, 2128, 13, 7570, 304, 279, 2305, 315, 279, 17626, 22162, 11, 61417, 264, 15022, 5089, 430, 1404, 3814, 1306, 3814, 374, 264, 57697, 8815, 304, 3061, 41913, 627, 2028, 374, 1405, 358, 15612, 389, 279, 6964, 315, 68162, 323, 73082, 13, 1115, 374, 1405, 358, 33766, 3210, 29068, 86, 5049, 261, 922, 1268, 3958, 420, 2128, 5334, 420, 892, 315, 1060, 13, 1115, 374, 1405, 358, 1436, 656, 2085, 279, 31678, 430, 4395, 374, 2133, 3235, 4661, 7041, 439, 433, 1288, 369, 279, 1317, 4751, 11, 3665, 369, 264, 26310, 21830, 2555, 27609, 73572, 11, 264, 73779, 3245, 309, 1662, 343, 11, 18570, 775, 753, 73779, 889, 89, 1220, 323, 264, 3958, 13272, 662, 51898, 753, 13194, 13, 51898, 889, 4536, 1431, 13194, 374, 45350, 13, 578, 3938, 753, 539, 1457, 662, 1102, 2646, 574, 13, 88635, 389, 757, 369, 88342, 449, 68162, 323, 73082, 323, 3460, 315, 23132, 2555, 264, 2697, 2731, 1109, 856, 57535, 649, 3041, 757, 369, 856, 2536, 69092, 13, 11717, 57535, 8571, 0, 26257, 279, 88342, 311, 67765, 52186, 0, 88635, 389, 757, 439, 1664, 369, 7422, 4330, 2162, 8640, 71044, 19579, 832, 4295, 14890, 374, 17354, 539, 264, 49025, 61300, 311, 1268, 79349, 5208, 374, 76722, 369, 420, 7471, 13, 94192, 26251, 757, 264, 22199, 41380, 259, 11, 1053, 13835, 5380, 4516, 439, 539, 311, 42197, 4726, 1139, 27394, 11, 358, 4805, 3345, 449, 856, 7075, 4545, 315, 279, 11714, 11, 27104, 315, 264, 46229, 7086, 34362, 11, 902, 8994, 279, 43529, 11, 374, 38617, 1054, 43810, 648, 863, 320, 8846, 369, 4072, 648, 7215, 11, 358, 4510, 570, 34362, 4375, 304, 279, 1890, 5274, 439, 856, 7555, 11, 889, 27528, 603, 1403, 14741, 505, 279, 7309, 430, 574, 4332, 4315, 3892, 315, 1077, 17104, 1080, 63384, 13, 358, 4070, 2322, 34362, 389, 12387, 25975, 1093, 420, 832, 323, 568, 2744, 11141, 757, 7422, 430, 422, 358, 1047, 311, 5268, 264, 2128, 315, 57535, 7359, 520, 279, 97841, 279, 1648, 584, 1511, 311, 5268, 709, 11314, 369, 10034, 304, 279, 42715, 11, 358, 7070, 5268, 34362, 912, 3010, 1109, 2132, 311, 617, 389, 856, 3185, 13, 1283, 753, 1120, 1695, 520, 1694, 520, 264, 57535, 1847, 11, 379, 529, 33134, 30, 763, 6287, 11, 358, 15746, 304, 51517, 439, 34362, 60826, 3952, 10980, 264, 45383, 8571, 753, 1529, 1894, 11, 10264, 555, 10264, 11, 2646, 3131, 539, 35509, 279, 281, 6442, 4664, 288, 1022, 279, 12523, 19221, 439, 568, 9495, 1461, 709, 13, 578, 13444, 961, 374, 555, 279, 842, 315, 1475, 4376, 3502, 1251, 11, 34362, 33822, 912, 17162, 1109, 4330, 2860, 40721, 1139, 12637, 40386, 389, 813, 2271, 311, 617, 279, 1888, 892, 21739, 649, 617, 520, 356, 12583, 8771, 627, 7456, 3575, 369, 279, 6118, 6380, 20521, 2922, 10279, 34362, 389, 7159, 3814, 574, 1524, 813, 40798, 57535, 1122, 46096, 574, 4737, 264, 27242, 505, 67765, 323, 813, 86930, 398, 7200, 315, 80122, 388, 13, 1226, 4070, 20025, 1071, 24748, 994, 8223, 49641, 617, 1027, 15338, 323, 1403, 2162, 8640, 617, 1027, 63421, 13, 11481, 311, 10519, 264, 712, 1601, 788, 47811, 994, 12168, 323, 66758, 527, 24269, 304, 1579, 2269, 1924, 627, 36, 747, 753, 539, 439, 6380, 439, 568, 1436, 387, 13, 2290, 315, 603, 374, 439, 6380, 439, 584, 1436, 387, 13, 1102, 5334, 11201, 304, 279, 4948, 994, 36880, 339, 3727, 433, 220, 20, 12, 15, 13, 1102, 6697, 1438, 1139, 2539, 9994, 90271, 6522, 1022, 279, 11999, 994, 20832, 3727, 433, 220, 21, 12, 15, 13, 3296, 1457, 682, 584, 4070, 2751, 2163, 374, 279, 60629, 304, 279, 5657, 90821, 1268, 2785, 505, 279, 393, 2689, 5584, 20388, 331, 323, 264, 12330, 430, 28970, 2212, 279, 6800, 2752, 13, 37558, 753, 1524, 2771, 422, 433, 753, 2133, 304, 279, 1314, 5216, 13, 320, 4897, 358, 35595, 311, 80907, 3508, 279, 289, 62837, 3273, 87, 430, 374, 279, 12330, 1288, 70725, 66770, 477, 5663, 55388, 4583, 15151, 1268, 17693, 420, 1847, 1047, 2064, 404, 839, 1523, 279, 24659, 29275, 62339, 441, 4131, 389, 304, 279, 18172, 311, 85715, 264, 289, 17249, 5352, 11623, 89054, 1139, 279, 4848, 23831, 742, 13, 1283, 5334, 279, 1176, 1403, 23651, 719, 1243, 4819, 23291, 311, 29335, 97623, 323, 15387, 5034, 39972, 1557, 13, 69913, 5097, 264, 13471, 11, 1243, 1403, 20953, 13, 362, 36157, 304, 1057, 3857, 11, 653, 2715, 54873, 449, 1057, 2697, 1912, 11, 374, 23114, 709, 311, 1618, 320, 2465, 1450, 374, 1234, 856, 46175, 8, 449, 62191, 3318, 14921, 13, 358, 649, 1518, 813, 1486, 13, 2435, 3207, 709, 4848, 27578, 588, 323 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 31192, 10994, 12336, 320, 26509, 8, 505, 279, 7427, 49193, 279, 59136, 389, 5887, 220, 1682, 11, 220, 2366, 16, 520, 279, 42626, 731, 46631, 77, 39171, 5955, 304, 27286, 520, 279, 10292, 22260, 315, 279, 3278, 753, 682, 46716, 1620, 304, 32692, 70221, 39171, 2391, 279, 27286, 220, 2366, 15, 25944, 11871, 520, 279, 42626, 731, 46631, 77, 39171, 5955, 304, 27286, 627, 43, 290, 301, 426, 290, 402, 306, 554, 765, 27746, 765, 21171, 12041, 198, 2746, 279, 8706, 8815, 13176, 279, 3772, 1566, 1060, 574, 33018, 15493, 17265, 3600, 11, 420, 1060, 753, 653, 7922, 55867, 374, 48309, 704, 1148, 311, 1297, 389, 627, 791, 24408, 1990, 17265, 2835, 11, 66333, 4984, 11, 323, 13790, 12707, 11767, 311, 1063, 15234, 11709, 430, 690, 59217, 13723, 304, 459, 15098, 54916, 291, 18921, 627, 14305, 8815, 430, 682, 1521, 5220, 3663, 1389, 279, 1401, 3488, 1389, 374, 1148, 2262, 5900, 1405, 11, 889, 28727, 323, 3249, 12671, 51224, 8269, 7997, 2630, 11, 3772, 18738, 520, 8828, 2059, 291, 23663, 627, 791, 15840, 11429, 690, 13967, 15180, 279, 1648, 279, 586, 60606, 3772, 13, 2100, 3117, 11, 1455, 3772, 5220, 617, 61149, 17265, 2835, 439, 264, 23606, 311, 8776, 2343, 6007, 13, 1115, 374, 279, 2944, 3249, 779, 1690, 3956, 527, 7086, 449, 279, 21166, 1054, 7284, 863, 1389, 16795, 489, 11, 82910, 489, 555, 11655, 45670, 60003, 11, 39193, 489, 11, 5099, 627, 644, 279, 1317, 1629, 11, 904, 17265, 5452, 1436, 3719, 279, 2162, 369, 264, 3772, 2883, 753, 4553, 15840, 13, 578, 1054, 501, 4881, 863, 527, 16168, 4018, 1022, 13, 27290, 489, 649, 1120, 387, 27290, 11, 449, 4395, 27290, 706, 311, 3085, 627, 4071, 279, 1917, 374, 539, 1070, 3686, 13, 1628, 279, 3135, 527, 10671, 15098, 31715, 369, 13723, 439, 502, 7620, 527, 8040, 11951, 369, 17265, 3600, 323, 279, 1888, 315, 13790, 12707, 2103, 3250, 1431, 1501, 709, 304, 17265, 627, 791, 36612, 99810, 198, 2520, 86125, 12707, 4101, 11, 3772, 29509, 617, 14090, 1903, 279, 5597, 430, 17265, 3600, 690, 387, 279, 2162, 369, 4113, 15840, 315, 279, 8592, 4367, 13, 16795, 11, 7520, 612, 350, 753, 32780, 12950, 11, 58104, 753, 24426, 59378, 11, 323, 11655, 45670, 60003, 527, 682, 4560, 311, 28008, 9935, 6825, 430, 814, 649, 3139, 7953, 8776, 14994, 12707, 13, 2435, 1005, 502, 4295, 5039, 1093, 1054, 791, 89979, 22865, 9520, 1054, 44, 548, 315, 6460, 28931, 863, 323, 1054, 48799, 11046, 863, 439, 49160, 311, 9504, 31120, 13, 18591, 690, 13592, 505, 2532, 311, 2532, 11, 719, 682, 3682, 502, 15493, 3956, 527, 7982, 555, 11990, 315, 6444, 1475, 8502, 627, 644, 279, 1162, 315, 12631, 11, 1070, 374, 264, 4632, 14656, 2269, 9672, 62646, 1990, 279, 5370, 3600, 13, 16795, 2231, 279, 100223, 12631, 1054, 50, 11206, 863, 323, 1054, 50302, 936, 863, 389, 16795, 489, 439, 814, 1051, 6004, 520, 912, 5217, 2853, 13, 1789, 60763, 47477, 11, 5348, 89120, 11, 323, 432, 12874, 323, 279, 8155, 16537, 11, 279, 2883, 6773, 311, 636, 3932, 311, 8493, 459, 5217, 400, 220, 966, 311, 4365, 279, 9698, 1603, 5616, 40885, 311, 1124, 369, 1949, 40665, 13, 24426, 59378, 9277, 1054, 791, 32669, 21266, 25, 12517, 8184, 863, 389, 1202, 7318, 27087, 315, 1054, 10407, 81378, 863, 719, 1193, 6004, 1054, 37, 24, 863, 304, 44866, 13, 32780, 12950, 706, 6773, 311, 2231, 1202, 4553, 1160, 315, 220, 2366, 16, 12631, 6089, 389, 43978, 7639, 11, 719, 433, 690, 539, 656, 779, 369, 72097, 12631, 304, 220, 2366, 17, 627, 2520, 3754, 323, 10034, 11, 1455, 3772, 5220, 617, 8774, 872, 1455, 15525, 15840, 24121, 389, 8776, 14994, 12707, 13, 578, 1455, 15746, 10461, 892, 15840, 389, 20352, 11, 56915, 323, 27290, 374, 2103, 20037, 709, 304, 279, 14994, 13190, 13, 1115, 706, 5535, 29509, 311, 22118, 279, 24981, 719, 539, 3686, 22798, 22531, 304, 2343, 53392, 18974, 811, 323, 2567, 264, 7701, 34235, 2626, 13989, 430, 3727, 33151, 315, 11441, 1855, 1060, 627, 40476, 59378, 5097, 389, 279, 8815, 315, 50812, 15525, 15840, 1418, 49927, 279, 25944, 11871, 13, 10502, 332, 1924, 649, 5268, 311, 13195, 3974, 323, 12715, 4455, 389, 279, 24426, 33065, 13740, 11, 24426, 34585, 39810, 11, 24426, 7517, 18426, 34120, 369, 34585, 3804, 47461, 11, 24426, 3658, 34120, 11, 5250, 81378, 3658, 36332, 11, 323, 5250, 81378, 55182, 36332, 627, 791, 8205, 315, 11709, 706, 3549, 264, 17395, 26031, 439, 24426, 59378, 26737, 311, 22829, 5361, 9021, 520, 3131, 13, 578, 2883, 6787, 311, 7916, 5250, 81378, 41455, 11, 2708, 521, 2343, 53392, 56694, 889, 617, 7378, 311, 1060, 24725, 11307, 12992, 369, 12588, 5016, 2262, 11, 323, 10519, 11646, 6007, 13172, 7969, 555, 94383, 63595, 311, 14079, 3974, 15840, 627, 17818, 753, 279, 9721, 859, 753, 55867, 304, 1957, 2476, 1071, 832, 21487, 12707, 6783, 13, 1054, 2675, 1440, 279, 13790, 6007, 1917, 374, 72618, 11, 719, 499, 3207, 4560, 311, 4822, 389, 279, 89862, 369, 439, 1317, 439, 3284, 13, 2468, 279, 1890, 892, 11, 499, 3207, 6376, 709, 279, 2324, 95458, 11, 902, 527, 7528, 323, 17265, 49216, 4516, 430, 279, 5219, 990, 198, 72765, 6944, 311, 3663, 264, 3682, 2626, 55867, 449, 1054, 36339, 13120, 21424, 863, 439, 4216, 439, 1828, 1060, 13, 763, 5587, 11, 279, 2883, 27528, 279, 3268, 311, 4365, 279, 7447, 4771, 1455, 2695, 35344, 14994, 4101, 389, 27290, 489, 439, 961, 315, 1202, 502, 6007, 3268, 9306, 449, 279, 5165, 21424, 9130, 13, 2030, 16795, 323, 27290, 9167, 1431, 1071, 4205, 922, 994, 1070, 690, 3604, 387, 7159, 13120, 21424, 389, 27290, 489, 627, 87232, 374, 555, 3117, 279, 1455, 11646, 4009, 304, 14994, 12707, 13, 1102, 4036, 420, 10292, 1606, 433, 574, 279, 1193, 1648, 9053, 1436, 3821, 7159, 13120, 21424, 323, 1023, 5526, 36027, 4455, 13, 1442, 16795, 12302, 7366, 8767, 14079, 15840, 505, 27290, 311, 27290, 489, 11, 2343, 53392, 56694, 690, 4585, 1203, 3938, 61361, 12992, 323, 11990, 315, 13723, 690, 387, 2728, 2500, 2944, 311, 9495, 1523, 14994, 12707, 627, 791, 7033, 3727, 420, 22702, 5107, 13, 28757, 6287, 220, 1032, 339, 11, 16795, 690, 6900, 400, 220, 21, 13, 1484, 824, 2305, 369, 27290, 489, 2768, 264, 3293, 3430, 5376, 13, 2030, 16795, 3727, 810, 1109, 400, 220, 24, 264, 2305, 824, 14994, 33215, 369, 27290, 304, 2343, 53392, 8141, 12718, 11, 4184, 311, 735, 18851, 11, 279, 3772, 3495, 13096, 315, 328, 43945, 8121, 13, 3277, 11093, 449, 279, 1023, 27290, 14488, 11, 16795, 13740, 323, 19921, 11, 16795, 3727, 810, 1109, 400, 220, 845, 264, 2305, 627, 644, 1023, 4339, 11, 369, 1475, 6130, 889, 63409, 2053, 14994, 11, 16795, 33291, 810, 1109, 400, 220, 845, 264, 2305, 13, 1102, 753, 2133, 311, 617, 311, 1212, 23468, 810, 369, 1202, 17265, 3956, 311, 1464, 1524, 11, 323, 430, 753, 539, 1524, 279, 13172, 4814, 5938, 449, 1202, 13790, 15840, 430, 71143, 3933, 7528, 2835, 1008, 13254, 627, 2118, 57813, 374, 10032, 311, 6859, 279, 13790, 26031, 1606, 433, 3727, 779, 1790, 3300, 2476, 1071, 7997, 2630, 13, 1054, 4516, 814, 682, 8335, 18646, 20160, 12032, 449, 3938, 22538, 430, 527, 1949, 8515, 6530, 8389, 311, 1501, 9935, 6825, 430, 814, 527, 4560, 627, 2097, 15840, 11429, 198, 40476, 59378, 323, 32780, 12950, 7376, 420, 2305, 430, 814, 690, 387, 24009, 11758, 315, 502, 8420, 311, 7417, 872, 17265, 3754, 3600, 627, 65002, 1109, 5042, 27444, 1113, 56915, 11, 73359, 11, 323, 20352, 7620, 389, 5250, 81378, 323, 43978, 7639, 11, 3772, 5220, 527, 48810, 264, 2204, 8446, 13, 20352, 374, 4857, 264, 15493, 3754, 2532, 11, 20352, 489, 13, 13929, 87339, 11, 20352, 753, 10388, 7528, 9640, 11, 1071, 568, 6787, 311, 18467, 220, 10617, 1274, 311, 2274, 323, 12192, 502, 4101, 323, 502, 2445, 12019, 13, 24426, 59378, 5513, 5856, 21892, 356, 33340, 1221, 451, 7376, 6787, 311, 18467, 7154, 220, 1049, 502, 8420, 369, 813, 3754, 16097, 11, 1455, 315, 8884, 690, 1862, 24426, 5513, 4800, 11, 279, 2883, 753, 43772, 17265, 4009, 627, 791, 5597, 311, 1893, 8821, 7620, 369, 17265, 11, 1063, 315, 902, 1253, 23329, 279, 2262, 315, 1148, 374, 2736, 1694, 13195, 389, 13790, 12707, 11, 649, 387, 19894, 304, 2204, 5627, 627, 4054, 1436, 37679, 2740, 1518, 433, 439, 264, 12571, 315, 5070, 11, 10409, 449, 37673, 32737, 11, 439, 264, 1054, 29699, 304, 892, 863, 5597, 311, 2567, 279, 18525, 1968, 304, 279, 14994, 13190, 11, 902, 1253, 912, 5129, 3073, 304, 1403, 477, 2380, 1667, 627, 11458, 11, 24426, 5513, 29509, 2019, 279, 9341, 45799, 430, 17265, 30994, 527, 539, 279, 1890, 439, 13790, 22511, 13, 1115, 1288, 3063, 311, 15840, 11709, 430, 15641, 430, 7528, 22511, 8541, 311, 387, 14992, 323, 810, 17226, 627, 15085, 3207, 15320, 7422, 922, 1268, 584, 649, 30536, 1057, 30104, 369, 1855, 8141, 5452, 2476, 1071, 43084, 29710, 92710, 11, 4872, 315, 24426, 5513, 13, 1054, 4438, 656, 584, 16988, 420, 502, 10877, 30, 18156, 279, 11503, 3063, 311, 2204, 12580, 389, 279, 4264, 11, 311, 2204, 20414, 311, 48929, 11, 311, 264, 2204, 13356, 389, 279, 1917, 49216, 2181, 753, 25420, 422, 1070, 3604, 374, 459, 10877, 369, 264, 17265, 15744, 3754, 4009, 1389, 5423, 832, 430, 10405, 13723, 264, 15438, 15493, 11307, 11, 1093, 20352, 489, 11, 902, 4316, 6256, 304, 220, 2366, 17, 13, 578, 4623, 315, 15840, 264, 14992, 10877, 374, 15562, 439, 264, 2835, 1984, 13, 64560, 11, 3508, 17265, 477, 8776, 12707, 11, 1253, 5042, 539, 387, 19411, 311, 1884, 1234, 279, 4325, 315, 220, 914, 13, 578, 5597, 311, 2793, 810, 304, 17265, 3754, 1436, 1121, 304, 264, 53722, 18174, 304, 22538, 304, 13195, 477, 14994, 54248, 439, 8244, 30466, 30000, 627, 32978, 9084, 408, 11, 24426, 5513, 529, 10388, 7528, 9640, 11, 1071, 568, 574, 16913, 430, 4726, 22538, 304, 24426, 5513, 4800, 690, 2343, 1022, 439, 568, 706, 2736, 3970, 279, 892, 29091, 304, 279, 6484, 2027, 11, 902, 11887, 304, 220, 679, 24, 13, 24426, 5513, 4800, 374, 1949, 311, 13723, 323, 374, 13172, 88213, 627, 15085, 3207, 17235, 12304, 311, 1518, 279, 11990, 315, 4207, 30994, 8493, 389, 24426, 5513, 23214, 323, 1268, 814, 690, 3139, 449, 1057, 22538, 2476, 1071, 9084, 408, 13, 1054, 2028, 892, 7543, 11, 902, 389, 1063, 15771, 374, 810, 1109, 459, 6596, 824, 4034, 510, 4908, 13674, 1145, 374, 264, 2867, 21070, 430, 584, 527, 37154, 1057, 30994, 389, 1690, 15771, 11, 1855, 449, 872, 1866, 38462, 84889, 13, 1054, 198, 92165, 25, 24426, 59378, 374, 279, 2748, 2883, 315, 73359, 627, 65592, 25, 58104, 12432, 17520, 31248, 389, 13254, 323, 17265, 2626 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 50, 53228, 386, 1953, 68195, 59580, 42909, 1929, 7157, 11, 16327, 2001, 33634, 889, 2795, 433, 596, 279, 11879, 430, 13146, 1455, 5828, 956, 4560, 311, 21546, 1555, 279, 282, 3963, 300, 315, 386, 580, 35994, 11, 856, 7195, 1486, 369, 16327, 596, 32380, 8924, 4563, 2852, 11, 477, 64916, 16377, 11, 220, 1135, 8931, 10411, 627, 16179, 386, 580, 35994, 706, 264, 17444, 369, 9977, 11, 279, 1972, 6023, 10222, 994, 856, 24229, 1047, 757, 2543, 8800, 362, 88295, 4900, 68, 47042, 13, 58801, 11, 358, 574, 13176, 2380, 34125, 315, 9629, 14836, 6089, 9017, 757, 627, 31437, 656, 358, 656, 1457, 7673, 358, 4691, 856, 8427, 11, 11517, 11, 889, 73170, 20592, 11, 330, 10156, 2567, 2133, 10246, 8140, 70399, 19160, 574, 2678, 3403, 311, 37663, 8800, 279, 13260, 21971, 2001, 264, 45214, 430, 20025, 282, 28109, 279, 81131, 358, 4661, 74159, 13, 1628, 358, 26399, 304, 10043, 264, 1695, 4376, 43276, 449, 539, 264, 3254, 9048, 380, 5954, 10789, 13, 9934, 3815, 430, 304, 445, 885, 627, 2409, 30460, 26184, 6, 3293, 4034, 11, 902, 24465, 506, 30970, 519, 35851, 79362, 304, 279, 11990, 11, 323, 279, 14827, 4435, 11098, 323, 279, 19367, 33063, 11, 16327, 706, 1457, 658, 65, 13111, 1202, 1648, 8800, 279, 1917, 596, 28608, 4264, 627, 11458, 11, 11517, 323, 358, 1051, 11125, 41664, 484, 488, 323, 4384, 35909, 389, 1057, 1403, 29137, 8577, 627, 1966, 420, 3389, 6790, 1938, 11, 584, 1051, 19946, 311, 393, 788, 2649, 3067, 77813, 4748, 9008, 11, 264, 53185, 6301, 264, 1917, 3201, 505, 279, 559, 519, 88, 25861, 323, 13465, 6136, 811, 584, 1053, 1522, 389, 279, 1648, 311, 48790, 46991, 8924, 10357, 351, 417, 627, 2181, 574, 459, 653, 3163, 1285, 2380, 4207, 555, 279, 892, 584, 1903, 430, 1620, 2543, 369, 279, 11573, 13, 32862, 584, 1051, 274, 5772, 56562, 409, 83450, 1234, 264, 64071, 315, 12314, 6307, 11141, 627, 22244, 374, 279, 77813, 4748, 9008, 5021, 2001, 902, 584, 1511, 311, 836, 279, 6301, 1359, 1071, 26132, 31464, 7997, 71, 332, 11, 459, 16286, 43929, 13, 1283, 323, 813, 36083, 7555, 11, 23908, 88, 11, 9107, 279, 281, 788, 2649, 4330, 1667, 4227, 13, 330, 29755, 311, 1440, 279, 2254, 1274, 11, 889, 4036, 603, 449, 13513, 43632, 11, 706, 15972, 603, 264, 2294, 3568, 922, 7138, 1359, 23908, 88, 1071, 11, 330, 438, 1268, 311, 3063, 264, 4382, 2324, 2085, 279, 8631, 323, 927, 67776, 562, 315, 2466, 9919, 10246, 6219, 408, 4748, 9008, 11, 902, 671, 6256, 279, 7928, 2682, 29691, 21137, 304, 279, 3224, 11, 374, 2466, 389, 41329, 26, 16472, 279, 13238, 21988, 11, 57823, 287, 11, 17808, 24822, 323, 20852, 304, 12434, 7224, 627, 2028, 374, 17551, 15825, 16327, 11, 1694, 11, 439, 433, 374, 11, 810, 1109, 220, 16, 11, 931, 8931, 3201, 320, 64, 220, 17, 220, 16, 14, 17, 21925, 11213, 8, 505, 28059, 596, 682, 45427, 274, 43008, 19424, 13, 77813, 4748, 9008, 706, 98421, 389, 430, 47811, 11, 9523, 311, 1202, 296, 5412, 3686, 73898, 5687, 11, 37492, 315, 83665, 26246, 11, 4106, 15286, 82, 323, 2890, 1285, 37637, 24872, 555, 24392, 28160, 37608, 36105, 627, 29174, 77813, 4748, 9008, 374, 2678, 3403, 311, 2733, 32487, 13, 36944, 293, 58267, 4336, 527, 743, 23442, 264, 72779, 6307, 28954, 323, 8508, 35534, 82339, 11012, 26, 1455, 527, 1120, 264, 2478, 7504, 505, 279, 92866, 9722, 53324, 279, 18435, 627, 2520, 682, 279, 281, 788, 2649, 596, 97181, 11, 433, 596, 279, 13057, 506, 95519, 315, 19858, 18300, 3090, 430, 374, 279, 1925, 33464, 13, 3011, 596, 3249, 11517, 323, 358, 1051, 389, 279, 9462, 304, 892, 369, 279, 220, 20, 264, 749, 13, 64919, 389, 3116, 315, 279, 4330, 58302, 584, 7543, 1618, 13, 1115, 9899, 9087, 10461, 603, 369, 279, 97806, 20659, 73292, 96780, 20705, 95440, 430, 584, 13205, 369, 220, 22, 264, 749, 13, 389, 1057, 4948, 1938, 627, 2173, 3388, 11, 420, 374, 4987, 5270, 11, 779, 433, 574, 12401, 311, 220, 23, 297, 63510, 994, 584, 6137, 279, 4376, 43276, 4321, 1555, 279, 22095, 6953, 752, 3090, 311, 3449, 279, 503, 526, 2649, 11, 264, 15376, 11, 52139, 819, 23162, 15688, 5918, 369, 279, 8945, 17301, 627, 96129, 7835, 33015, 7673, 3573, 36064, 10619, 30, 4063, 6921, 11, 279, 503, 526, 1037, 8869, 11, 2663, 704, 439, 584, 25319, 8800, 279, 15688, 369, 279, 4330, 24401, 8577, 311, 279, 86559, 34239, 13, 1226, 1051, 9770, 311, 17631, 389, 1057, 94532, 9687, 43288, 11, 719, 584, 3287, 956, 1205, 5606, 311, 15025, 279, 2144, 430, 584, 1051, 85353, 1555, 459, 77630, 81188, 449, 6908, 13656, 315, 34557, 75818, 1448, 24992, 279, 99164, 627, 791, 97806, 20659, 3287, 956, 9616, 311, 279, 8681, 72087, 77036, 596, 11, 719, 1070, 374, 2555, 71246, 922, 24269, 304, 14268, 2867, 220, 6086, 38775, 3090, 389, 264, 3389, 6790, 6693, 627, 791, 11415, 315, 279, 8577, 6137, 449, 1057, 3794, 16075, 389, 264, 6366, 9462, 2308, 323, 8748, 369, 279, 43038, 311, 10205, 779, 279, 15688, 1436, 3810, 279, 350, 36409, 309, 359, 4317, 11188, 11, 2162, 311, 279, 51639, 369, 279, 3224, 596, 1455, 52356, 72491, 36041, 278, 11, 279, 893, 96780, 11, 477, 1069, 86400, 70566, 72, 439, 25958, 1650, 433, 13, 8876, 220, 1049, 21, 11, 279, 6826, 369, 279, 1050, 396, 17158, 315, 5250, 953, 288, 70566, 285, 2947, 21538, 437, 706, 1027, 67805, 25958, 323, 32753, 922, 279, 12939, 315, 11357, 287, 1521, 20566, 430, 1051, 7154, 80269, 311, 52609, 627, 1, 51899, 311, 593, 9135, 3573, 8161, 956, 5916, 0, 4063, 6921, 3309, 603, 439, 584, 10862, 279, 21813, 11, 719, 264, 2478, 4520, 3010, 11, 264, 893, 96780, 308, 9065, 839, 856, 4579, 1306, 33510, 1202, 18791, 716, 8800, 279, 15688, 13, 4314, 7752, 1253, 17988, 220, 16, 11, 1049, 16701, 11, 719, 814, 2351, 11919, 13, 26848, 1109, 16587, 3201, 505, 603, 11, 279, 1069, 86400, 70566, 285, 25735, 279, 15688, 439, 584, 92662, 3235, 279, 51296, 51515, 90059, 15140, 17469, 627, 4599, 584, 6052, 311, 279, 1825, 3090, 11, 279, 9581, 574, 5616, 6041, 311, 10205, 11, 719, 279, 220, 17, 21117, 78353, 574, 1120, 264, 38678, 71261, 311, 279, 810, 8915, 10474, 315, 1057, 8577, 2001, 24919, 8613, 299, 409, 48790, 38026, 389, 279, 32429, 1122, 13218, 315, 57355, 13279, 978, 627, 29755, 1070, 1047, 603, 38831, 4628, 1057, 28387, 259, 31458, 1203, 311, 386, 580, 35994, 2001, 420, 892, 11, 10043, 449, 279, 9629, 389, 362, 88295, 4900, 68, 47042, 323, 34168, 264, 832, 21925, 11213, 311, 49459, 11, 1405, 584, 1053, 1935, 264, 8415, 15924, 276, 311, 8613, 299, 409, 48790, 38026, 279, 1828, 1938, 627, 2746, 499, 1505, 6261, 304, 32429, 689, 596, 6864, 449, 264, 2478, 4207, 311, 13488, 11, 1120, 1833, 420, 2380, 29137, 15150, 25, 24587, 25704, 28676, 489, 6178, 593, 936, 409, 8215, 277, 3496, 489, 19984, 978, 40555, 566, 1832, 56347, 3067, 32429, 689, 13, 24587, 25704, 28676, 374, 279, 12818, 499, 3358, 4034, 323, 6212, 304, 26, 4647, 593, 936, 11, 279, 15481, 36974, 1903, 449, 34557, 14403, 11, 62444, 87290, 11, 56626, 323, 48351, 8811, 47820, 1955, 58573, 11, 374, 1148, 499, 3358, 8343, 26, 323, 279, 19984, 978, 40555, 566, 1832, 56347, 11, 264, 220, 1987, 44650, 26483, 375, 315, 61583, 11, 32629, 323, 2107, 4748, 9008, 45518, 11, 374, 279, 1455, 1156, 396, 484, 1113, 6596, 323, 279, 1888, 220, 1758, 312, 2852, 320, 9274, 400, 1114, 8, 499, 3358, 8493, 304, 16327, 627, 44623, 11, 439, 279, 8415, 15924, 276, 1903, 279, 220, 1691, 14, 17, 21925, 8577, 1555, 1652, 1195, 48754, 53183, 21160, 11, 358, 8774, 13758, 311, 5448, 315, 279, 4027, 61583, 323, 2107, 4748, 9008, 1645, 23576, 1900, 1203, 1517, 5772, 4028, 279, 6566, 627, 5159, 10742, 922, 264, 5944, 5117, 4068, 2001, 330, 2746, 1070, 527, 1524, 279, 259, 6729, 478, 315, 17301, 389, 279, 18435, 656, 539, 11, 358, 13454, 11, 656, 539, 1935, 279, 8415, 15924, 276, 1990, 49459, 323, 8613, 299, 409, 48790, 38026, 9135, 2001, 3287, 956, 3769, 553, 11, 323, 5246, 584, 1051, 274, 18148, 1555, 279, 7937, 24857, 9967, 13826, 354, 2740, 304, 279, 4156, 315, 279, 15688, 627, 791, 1176, 3245, 499, 5406, 389, 19163, 11, 10980, 505, 279, 35231, 2001, 4411, 299, 3445, 330, 28607, 1, 304, 43288, 2001, 374, 279, 28612, 315, 13587, 2308, 1849, 11, 279, 3941, 315, 18386, 11, 520, 3325, 369, 51597, 11, 1606, 1070, 527, 2478, 9515, 304, 8613, 299, 13, 1628, 422, 499, 3621, 311, 17782, 2391, 279, 1629, 5352, 311, 1561, 9941, 596, 32460, 11, 439, 584, 1550, 11, 499, 3358, 1518, 3249, 279, 2035, 374, 3967, 439, 4717, 8792, 627, 8140, 5915, 11, 4869, 11, 574, 311, 3136, 34948, 323, 97806, 20659, 13, 3011, 596, 3249, 584, 14896, 279, 8592, 281, 788, 2649, 389, 279, 13218, 13, 330, 3947, 596, 4349, 58934, 1359, 2493, 17152, 11, 889, 3782, 311, 6920, 279, 18381, 11, 1071, 11, 22364, 40872, 13, 3277, 358, 65657, 520, 813, 7558, 10168, 1057, 64028, 11, 358, 574, 51512, 4423, 775, 1053, 387, 17919, 279, 330, 20347, 1, 709, 279, 220, 1774, 38775, 18916, 1572, 11, 26351, 13006, 323, 279, 1620, 220, 9992, 7504, 304, 279, 220, 1954, 38775, 8798, 627, 4599, 386, 18405, 48838, 301, 7826, 28196, 44865, 603, 520, 279, 30048, 304, 1077, 6063, 38698, 1189, 291, 43288, 11, 358, 15393, 584, 1047, 9670, 709, 304, 459, 74544, 35148, 6063, 50852, 13, 578, 6325, 1051, 20441, 11, 323, 279, 6693, 16385, 323, 19692, 44611, 2001, 422, 430, 596, 1148, 499, 2351, 1139, 2001, 719, 10213, 584, 1047, 264, 68040, 14850, 505, 279, 682, 45427, 436, 4798, 3770, 627, 2181, 596, 264, 220, 605, 24401, 69983, 311, 279, 14458, 596, 1841, 1752, 8792, 73098, 11, 449, 1202, 6437, 323, 4251, 37683, 8993, 11, 25325, 323, 74671, 13, 1115, 11767, 311, 279, 1925, 11161, 11, 37776, 11, 449, 810, 15926, 11, 16283, 323, 20021, 311, 3780, 122179, 12699, 18791, 2269, 54789, 11, 14132, 279, 68172, 315, 5873, 13, 15379, 14239, 83978, 279, 36105, 11, 719, 433, 596, 539, 264, 3691, 648, 596, 9284, 11, 902, 1253, 387, 3249, 814, 36592, 2211, 575, 404, 258, 4752, 13, 4740, 1120, 832, 11, 499, 3358, 3009, 30598, 430, 7795, 374, 927, 99797, 323, 279, 37547, 374, 30823, 88, 627, 791, 14509, 9778, 27448, 82, 311, 9462, 6522, 311, 279, 3116, 1925, 35909, 7086, 11, 653, 3913, 7439, 13610, 11, 5629, 11, 10657, 11, 21530, 323, 36174, 13, 7648, 315, 279, 1957, 31288, 389, 17652, 27990, 11, 1405, 12387, 25325, 11, 40459, 16283, 323, 15926, 449, 3974, 4731, 13334, 1664, 8800, 279, 9462, 627, 2181, 596, 1101, 5015, 7315, 369, 279, 2646, 67897, 37604, 315, 40439, 64, 31717, 329, 3026, 323, 3278, 304, 872, 293, 5118, 2483, 7907, 282, 822, 29106, 3573, 37, 822, 29106, 7673, 7566, 11, 330, 67, 6430, 282, 9563, 99501, 10335, 346, 9008, 54448, 4336, 264, 2766, 11, 719, 433, 596, 520, 3489, 26017, 11, 279, 22807, 323, 11594, 478, 14841, 315, 9462, 11, 430, 2574, 19858, 1523, 2001, 3582, 358, 574, 15107, 311, 279, 22217, 315, 11573, 1990, 21530, 323, 36174, 11, 9523, 311, 1202, 97806, 20659, 7858, 1405, 358, 993, 1142, 459, 9249, 6437, 7795, 627, 2746, 499, 81413, 17162, 36083, 32753, 320, 71830, 9053, 26255, 1618, 705, 499, 649, 5249, 832, 315, 279, 1690, 15688, 3521, 76339, 311, 7695, 4317, 409, 2577, 3527, 4749, 449, 1202, 8931, 315, 66085, 35909, 11, 53103, 92822, 11, 12290, 33096, 288, 323, 51296, 299, 2396, 627, 8140, 220, 1774, 24401, 4732, 38865, 12203, 3935, 1047, 603, 94698, 331, 11880, 2403, 220, 23, 21117, 17301, 323, 18667, 264, 1344, 354, 6374, 449, 922, 220, 1041, 97806, 301, 388, 6563, 55786, 2753, 555, 35148, 7795, 1109, 555, 13179, 27474, 24770, 389, 19596, 3691, 92825, 627, 67196, 3582, 11, 584, 1051, 12504, 1022, 520, 29592, 906, 418, 99657, 3067, 4821, 969, 11573, 3221, 279, 15140, 430, 19487, 320, 438, 12886, 8, 264, 1790, 1652, 1195, 6149, 1203, 13, 578, 1193, 3245, 32161, 574, 892, 13, 3161, 1120, 264, 5743, 315, 4207, 311, 13488, 279, 13057, 50699, 315, 7019, 67, 727, 9462, 323, 78181, 33965, 1555, 279, 11422, 13952, 11, 1057, 4034, 574, 10213, 264, 50852, 67126, 627, 1687, 3463, 315, 10374, 279, 3814, 11, 719, 1243, 584, 1053, 617, 13942, 8613, 299, 596, 51223, 588, 43588, 2001, 477, 1561, 9941, 596, 32460 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 50, 10286, 72, 84485, 1543, 258, 869, 611, 48510, 13944, 198, 47, 13389, 25, 48510, 13944, 198, 46108, 25, 8096, 15028, 438, 17200, 198, 4674, 261, 25, 3279, 26224, 198, 7749, 11106, 25, 220, 2813, 25, 2131, 198, 18292, 75, 13944, 46940, 12483, 527, 2561, 1618, 627, 3246, 25712, 617, 1027, 6335, 398, 1323, 88473, 304, 1614, 8838, 10826, 38921, 97417, 35, 21136, 5222, 13, 11997, 1101, 5764, 5217, 12306, 14242, 505, 3974, 3769, 13127, 16040, 612, 423, 4195, 340, 40, 23289, 433, 596, 3284, 311, 13085, 1380, 25712, 315, 84485, 1543, 258, 869, 11936, 1694, 2884, 2731, 1109, 555, 48510, 13944, 719, 482, 1664, 11, 912, 11, 389, 22599, 11, 358, 1541, 956, 1781, 433, 374, 13, 358, 6227, 994, 358, 34793, 311, 264, 14975, 315, 813, 46940, 315, 264, 6710, 555, 49971, 385, 1389, 433, 574, 279, 1008, 351, 822, 315, 279, 507, 754, 68, 47784, 78, 323, 374, 389, 77709, 596, 13944, 520, 220, 2421, 2624, 1389, 539, 16632, 1268, 6366, 433, 574, 719, 1268, 32719, 34558, 13, 13944, 706, 1027, 4477, 1380, 25712, 369, 1455, 315, 813, 6822, 2324, 323, 420, 12764, 11, 420, 8352, 11, 57088, 555, 459, 90196, 9824, 51552, 449, 84485, 1543, 258, 869, 596, 4731, 706, 6197, 311, 420, 2624, 11, 1790, 315, 902, 574, 12715, 304, 5887, 220, 3753, 17, 323, 1176, 11136, 389, 17540, 13, 3011, 3769, 706, 1027, 57088, 555, 3116, 14242, 12715, 304, 14689, 304, 220, 2550, 16, 323, 555, 2380, 3974, 24601, 505, 264, 30613, 21497, 304, 220, 3753, 18, 13, 1666, 264, 1121, 1070, 527, 2380, 24601, 315, 459, 8196, 13944, 19214, 11, 763, 578, 60555, 13120, 11, 439, 1664, 439, 1403, 482, 1633, 2204, 1389, 24601, 315, 98403, 1082, 323, 18813, 1403, 1855, 315, 11208, 31685, 49807, 6572, 323, 57227, 82, 315, 12531, 627, 791, 3135, 527, 11622, 60166, 4633, 53862, 11, 1855, 264, 3169, 315, 5609, 2085, 4339, 11, 304, 902, 13944, 1047, 84485, 1543, 258, 869, 596, 1866, 3187, 311, 1833, 26, 279, 40550, 1380, 17890, 813, 1866, 11936, 423, 2852, 552, 323, 41578, 19807, 13, 13944, 706, 8272, 264, 44029, 44172, 11949, 1122, 11151, 613, 1543, 258, 869, 1122, 3388, 323, 1855, 5609, 374, 9061, 291, 304, 69435, 41463, 323, 11939, 13, 2100, 369, 3187, 832, 649, 50863, 279, 60234, 1285, 4225, 2635, 919, 315, 279, 2163, 1450, 304, 507, 24703, 521, 26236, 26139, 477, 279, 38626, 23788, 31514, 315, 2057, 279, 15394, 304, 902, 279, 62684, 11031, 311, 279, 22253, 323, 279, 1314, 584, 4798, 436, 11206, 3536, 315, 10799, 8046, 78223, 1522, 351, 2504, 927, 433, 13, 578, 11763, 11323, 20589, 315, 3234, 2876, 480, 46104, 8881, 279, 506, 22780, 367, 315, 279, 33894, 1389, 682, 22755, 527, 3984, 555, 279, 1648, 11, 304, 6498, 1389, 323, 13944, 12716, 704, 682, 279, 82341, 23965, 304, 264, 6376, 1778, 439, 578, 51108, 10901, 13, 1958, 2360, 13, 16, 11, 5439, 304, 220, 7529, 17, 13, 5414, 98403, 1082, 574, 264, 9568, 39392, 304, 279, 3010, 11, 220, 2550, 16, 14975, 11, 902, 11621, 311, 279, 24408, 11, 3582, 430, 6931, 3185, 1587, 5222, 264, 2697, 17401, 813, 23707, 26, 1070, 596, 1063, 33247, 1579, 2237, 108593, 6957, 304, 1486, 315, 2144, 13, 57227, 82, 315, 12531, 374, 459, 4216, 6376, 323, 433, 9248, 279, 65655, 9090, 315, 279, 33894, 323, 1202, 6376, 1389, 9615, 26742, 519, 11, 1825, 70395, 323, 69435, 449, 11510, 315, 6678, 323, 10571, 13, 5112, 1070, 596, 279, 24415, 36237, 648, 315, 53718, 1389, 439, 61299, 304, 13944, 596, 6206, 439, 264, 39788, 14546, 13, 2684, 596, 1101, 279, 18639, 39130, 73, 1711, 2410, 315, 328, 7924, 304, 12531, 1712, 11, 279, 14400, 93663, 315, 14013, 63666, 64643, 323, 279, 2697, 16630, 33894, 430, 13944, 3727, 315, 11208, 31685, 49807, 6572, 11, 2539, 315, 82341, 13444, 11, 35018, 325, 323, 12745, 13, 358, 10932, 279, 30613, 57227, 82, 315, 12531, 1389, 433, 596, 5128, 1790, 279, 1890, 24108, 439, 279, 220, 3753, 16, 14356, 14975, 719, 433, 596, 810, 14247, 323, 59774, 11, 304, 279, 1890, 1648, 430, 358, 10932, 279, 1890, 3974, 21497, 596, 2373, 315, 11208, 31685, 49807, 6572, 902, 706, 10284, 96569, 59570, 323, 264, 64062, 24108, 627, 2409, 264, 11383, 11190, 323, 19411, 74343, 505, 77709, 420, 374, 2500, 315, 872, 42762, 659, 5621, 3705, 2518, 13944, 19786, 13, 1442, 499, 1390, 311, 6205, 11, 10772, 311, 75073, 11208, 31685, 49807, 6572, 323, 1518, 422, 499, 1541, 956, 9502, 311, 13944, 596, 282, 2364, 81750, 627, 66091, 47400, 69, 11, 10948, 5000, 916, 11, 5186, 13, 220, 1049, 20, 198, 18292, 75, 13944, 320, 65, 13, 220, 7529, 20, 8, 706, 1027, 264, 48772, 68, 323, 1645, 5849, 668, 315, 33022, 84485, 1543, 258, 869, 369, 927, 71049, 1667, 11, 7314, 520, 4325, 4848, 13, 12220, 813, 5575, 2919, 11, 13944, 1047, 279, 6776, 311, 19780, 264, 23597, 304, 264, 5743, 315, 11936, 26, 1243, 11, 13944, 11299, 1234, 279, 13141, 315, 23880, 735, 21904, 9509, 11, 889, 1047, 10887, 1790, 315, 279, 5609, 69483, 61480, 449, 279, 40550, 520, 279, 27374, 13, 20636, 34793, 311, 84485, 1543, 258, 869, 24315, 27374, 1742, 369, 927, 1403, 11026, 323, 3515, 42101, 1202, 15105, 323, 20047, 11, 13944, 6773, 311, 1380, 3191, 30335, 315, 279, 11936, 11, 1790, 304, 279, 11827, 315, 44172, 11949, 11, 304, 279, 7474, 315, 220, 3753, 16, 13, 578, 30335, 7205, 31035, 10297, 311, 8096, 15028, 438, 17200, 26, 279, 270, 404, 46487, 11, 264, 6514, 315, 330, 5519, 2876, 480, 46104, 1359, 574, 24306, 3010, 304, 279, 13515, 323, 12514, 311, 93610, 5355, 20602, 67, 543, 627, 791, 1672, 17890, 24601, 315, 13944, 24315, 1866, 1380, 25712, 2457, 220, 3753, 17, 12, 2550, 16, 323, 1935, 304, 37278, 505, 1561, 4356, 4409, 26, 32917, 11, 14689, 26, 323, 30613, 13, 578, 98403, 1082, 21879, 1403, 22972, 11, 279, 1176, 304, 220, 3753, 17, 22128, 459, 1524, 27927, 6514, 323, 58367, 282, 2521, 77866, 1109, 279, 5403, 505, 220, 2550, 16, 13, 13944, 596, 330, 37, 4659, 82, 315, 12531, 1, 66801, 13544, 1093, 832, 315, 279, 810, 19738, 864, 75, 29246, 505, 1200, 355, 220, 1419, 13, 330, 644, 279, 60555, 13120, 1359, 10901, 13, 220, 19, 11, 2360, 13, 220, 18, 21879, 2380, 1672, 25712, 11, 14224, 264, 3169, 315, 24364, 24315, 8260, 21099, 369, 279, 13944, 1579, 16337, 304, 279, 62684, 927, 264, 659, 96324, 5844, 857, 3904, 11, 13696, 389, 264, 29759, 423, 13, 19292, 7000, 315, 279, 11936, 26318, 1220, 5115, 279, 13531, 323, 18249, 2740, 55861, 1917, 439, 330, 791, 51108, 1359, 10901, 13, 220, 1958, 11, 2360, 13, 220, 16, 11, 459, 469, 30893, 12401, 311, 36561, 13753, 1109, 311, 78084, 1026, 13, 1115, 7061, 69944, 279, 3389, 63137, 380, 31797, 1443, 372, 27782, 264, 11897, 369, 3515, 11784, 1461, 311, 279, 87163, 5849, 13444, 315, 330, 1271, 279, 15394, 1359, 10901, 13, 220, 1627, 11, 2360, 13, 220, 22, 11, 902, 4491, 13, 13944, 6372, 449, 1608, 4680, 289, 380, 31514, 13, 88061, 4731, 11, 24415, 5737, 11, 323, 264, 1579, 538, 5788, 682, 279, 1648, 627, 74067, 48506, 1030, 11, 12632, 15416, 6055, 11, 4723, 13, 220, 1049, 19, 198, 1271, 1884, 889, 1440, 323, 3021, 420, 77768, 11, 420, 2643, 1120, 387, 439, 3345, 311, 13939, 23070, 439, 499, 649, 636, 13, 84485, 1543, 258, 1885, 596, 11936, 369, 7899, 323, 27374, 482, 1063, 8254, 7437, 11, 46338, 80679, 36399, 11936, 304, 682, 482, 1051, 779, 32487, 311, 279, 40550, 596, 99892, 2324, 323, 1989, 11, 430, 568, 59477, 76978, 11936, 2391, 279, 26175, 1667, 315, 813, 61087, 505, 8524, 13, 330, 40, 574, 1193, 4848, 994, 358, 1176, 6755, 84485, 1543, 258, 1885, 2804, 1359, 41231, 13944, 11, 330, 438, 358, 18677, 813, 47679, 15870, 369, 279, 1828, 17510, 38502, 1667, 3156, 813, 4648, 304, 220, 6393, 18, 1210, 14998, 584, 2019, 279, 8690, 7491, 596, 20356, 323, 279, 32373, 323, 40075, 315, 813, 5603, 311, 279, 27374, 1051, 264, 1646, 279, 3995, 3778, 60166, 380, 610, 2270, 311, 66585, 30, 84485, 1543, 258, 1885, 5678, 2163, 719, 1403, 1380, 25712, 315, 813, 1866, 11936, 11, 330, 43, 321, 19807, 1, 323, 330, 35, 2852, 552, 1210, 13944, 1380, 17890, 61759, 3885, 11, 902, 6244, 264, 16595, 961, 315, 813, 1421, 16664, 304, 279, 220, 3753, 15, 596, 13, 11205, 15671, 1501, 279, 14604, 2134, 315, 1521, 11936, 25, 330, 46, 11, 24703, 521, 67675, 11070, 287, 1359, 330, 5519, 2876, 480, 46104, 1359, 330, 644, 279, 60555, 13120, 1359, 330, 37, 4659, 82, 315, 12531, 1359, 330, 65454, 82, 1359, 330, 34748, 63666, 64643, 1359, 330, 9241, 31685, 49807, 6572, 10246, 644, 264, 5609, 1093, 330, 791, 15013, 10951, 1359, 902, 46450, 2740, 9364, 279, 9966, 57311, 315, 20587, 11, 279, 5609, 6376, 323, 1202, 46940, 649, 387, 4382, 323, 77300, 11, 439, 387, 30322, 279, 3917, 13, 763, 264, 5609, 1093, 330, 50, 7924, 304, 12531, 1712, 1359, 389, 279, 1023, 1450, 11, 279, 21958, 527, 810, 6485, 11, 323, 279, 4731, 374, 8024, 11559, 810, 8147, 323, 834, 44750, 287, 25, 330, 89553, 358, 47842, 311, 279, 12835, 315, 279, 46385, 11, 611, 2057, 279, 3814, 287, 1604, 596, 25429, 7899, 611, 1666, 568, 67807, 704, 813, 4851, 304, 264, 5609, 11, 611, 13759, 3201, 1405, 279, 62471, 582, 12690, 52554, 0, 611, 19418, 311, 23070, 430, 279, 21847, 323, 93985, 611, 40070, 539, 10409, 449, 1778, 6784, 323, 46996, 25765, 791, 11325, 2068, 5764, 25631, 11028, 315, 1063, 315, 279, 11936, 11, 902, 374, 21745, 535, 369, 459, 10255, 889, 2646, 10666, 264, 4604, 109524, 3048, 315, 264, 6710, 505, 832, 1421, 2223, 311, 279, 1828, 13, 1789, 279, 61528, 5526, 330, 53, 3768, 1082, 1359, 369, 3187, 11, 279, 11700, 649, 9616, 279, 4062, 83014, 83580, 315, 13944, 596, 220, 2550, 16, 14975, 1903, 520, 813, 2162, 3221, 32917, 11, 311, 279, 5716, 15031, 4538, 269, 488, 323, 24364, 8149, 315, 813, 220, 3753, 17, 1561, 4356, 14975, 13, 5031, 2352, 287, 17276, 8096, 15028, 438, 17200, 323, 24490, 3279, 26224, 617, 2884, 264, 74212, 481, 2683, 44463, 38140, 1903, 304, 2380, 2204, 37278, 320, 1820, 4948, 264, 3974, 1421, 2223, 304, 30613, 304, 220, 3753, 18, 705, 6968, 279, 21455, 315, 264, 43790, 2068, 627, 12834, 48510, 13944, 374, 1457, 220, 2421, 1667, 2362, 11, 358, 656, 539, 1440, 1268, 1690, 810, 38140, 584, 1253, 1755, 505, 279, 39487, 315, 27077, 25126, 65555, 13, 578, 3118, 2068, 11, 1323, 88473, 304, 220, 1187, 15615, 5222, 11, 374, 439, 6366, 439, 4205, 584, 617, 6755, 505, 420, 2294, 10255, 11, 323, 1253, 1664, 8854, 439, 264, 44877, 35491, 311, 1461, 627, 1999, 1609, 19832, 11, 12044, 13, 220, 1049, 19, 198, 49, 613, 1543, 258, 869, 596, 11936, 369, 7899, 323, 27374, 1797, 4315, 813, 1455, 84211, 323, 6366, 62644, 13, 8876, 813, 2731, 22015, 27374, 864, 75, 29246, 57009, 3059, 62684, 505, 872, 1475, 97551, 11, 3249, 539, 10737, 279, 11936, 369, 13839, 27374, 323, 499, 3358, 617, 1148, 15055, 311, 459, 5217, 743, 315, 84485, 1543, 258, 869, 864, 75, 29246, 30, 3011, 596, 24559, 1148, 48510, 13944, 1550, 449, 220, 1032, 315, 1521, 43258, 13, 1283, 3250, 956, 16632, 33866, 279, 26480, 5238, 8800, 279, 4113, 27374, 5844, 857, 12843, 26, 4619, 11, 568, 282, 645, 17082, 704, 279, 30953, 304, 264, 1742, 1633, 1790, 304, 10494, 449, 279, 58367, 10062, 30748, 323, 15730, 16023, 292, 37390, 14595, 315, 84485, 1543, 258, 869, 596, 13839, 13939, 4477, 13, 1628, 19093, 11335, 48510, 13944, 1380, 25712, 2731, 1109, 48510, 13944, 13, 5659, 279, 1437, 380, 2785, 76057, 3536, 304, 330, 791, 15013, 10951, 1, 311, 279, 289, 380, 1285, 1317, 5238, 323, 20801, 5352, 91317, 315, 279, 11537, 330, 53, 3768, 1082, 498, 13944, 596, 653, 14782, 5647, 315, 1742, 323, 38631, 5933, 11, 26139, 15105, 3412, 701, 6666, 627, 2181, 596, 264, 16267, 311, 617, 1521, 220, 3753, 17, 38140, 11, 3131, 2561, 389, 279, 39424, 364, 7098, 668, 2440, 11, 1203, 304, 35855, 3235, 449, 220, 2550, 16, 1323, 2094, 315, 330, 644, 279, 60555, 13120, 1, 323, 330, 53, 3768, 1082, 498, 5636, 330, 5519, 2876, 480, 46104, 498, 902, 13944, 1380, 17890, 20193, 1306, 279, 39424, 364, 7098, 668, 16079, 13, 763, 5369, 11, 3974, 220, 3753, 18, 38140, 505, 30613, 315, 330, 644, 279 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2170, 279, 1917, 44154, 2001, 323, 439, 6980, 5222, 279, 17035, 2001, 279, 4113, 12434, 28568, 374, 5922, 17951, 5977, 627, 1383, 469, 41554, 5124, 301, 1729, 11, 22765, 7972, 10181, 198, 78850, 6675, 88409, 94144, 574, 9405, 389, 6250, 220, 975, 11, 220, 10967, 24, 13, 763, 813, 1938, 11, 568, 574, 264, 13509, 295, 4744, 1303, 11, 21977, 29899, 7169, 12084, 2001, 832, 315, 279, 1176, 12715, 7931, 311, 4933, 12434, 10742, 13, 2057, 1304, 1461, 18638, 369, 264, 502, 9659, 11, 682, 433, 5097, 374, 264, 21540, 7601, 315, 88409, 94144, 555, 279, 3995, 10182, 6076, 27269, 4028, 279, 24867, 13, 11205, 5219, 527, 7982, 11, 872, 3465, 374, 6908, 11, 323, 814, 527, 1457, 43676, 12884, 311, 5249, 1124, 13, 8595, 1095, 6699, 282, 3390, 994, 279, 3838, 44154, 30, 1952, 3297, 220, 1313, 11, 15042, 27859, 520, 279, 19326, 69653, 10506, 11, 578, 17671, 11, 323, 578, 25460, 34793, 323, 11887, 18230, 287, 31636, 4800, 11, 264, 2447, 311, 15253, 810, 10401, 315, 10182, 2349, 304, 279, 3772, 13, 8766, 77638, 388, 11, 279, 72005, 19114, 11, 14618, 704, 430, 505, 220, 679, 22, 311, 220, 679, 23, 11, 3682, 4009, 10401, 315, 10182, 4819, 11299, 220, 1774, 3346, 311, 264, 2860, 315, 264, 17983, 220, 10239, 4520, 13, 1628, 389, 3297, 220, 1419, 11, 449, 1077, 94350, 315, 1694, 7858, 10539, 11, 220, 845, 4771, 6418, 10182, 28941, 323, 16448, 6917, 480, 66798, 666, 359, 7881, 40522, 6267, 315, 4737, 389, 279, 10182, 2349, 8815, 25, 1054, 2181, 753, 22706, 753, 2683, 49216, 52522, 264, 18824, 1093, 88409, 94144, 1436, 387, 264, 16267, 788, 13051, 369, 279, 3995, 10182, 6076, 27269, 13, 1283, 706, 872, 1203, 13, 1283, 5602, 41416, 29569, 10182, 2349, 5108, 810, 1109, 220, 1049, 1667, 4227, 13, 4740, 682, 11, 568, 574, 279, 71674, 28568, 889, 13468, 11, 27470, 323, 30239, 3823, 51877, 2656, 12434, 5674, 304, 279, 4216, 220, 5245, 15, 82, 2391, 813, 1317, 11879, 315, 12624, 27501, 304, 20023, 5270, 13, 3011, 753, 994, 568, 63421, 279, 5528, 315, 37683, 2191, 323, 19201, 922, 10182, 2349, 9057, 555, 54317, 711, 97893, 323, 96157, 10745, 6136, 811, 13, 6984, 1243, 11, 568, 27313, 32720, 5352, 35231, 3422, 323, 279, 11682, 2884, 555, 16806, 61272, 13, 1283, 10555, 1268, 3131, 44611, 3090, 5070, 1051, 39928, 323, 70225, 29149, 4363, 14264, 95088, 13, 1283, 5602, 2574, 3885, 45536, 627, 2181, 574, 520, 11940, 61349, 304, 18671, 37003, 1405, 88409, 94144, 8040, 813, 4623, 430, 12966, 1051, 48291, 74055, 279, 10182, 13, 763, 813, 220, 10562, 19, 2363, 11, 1054, 35127, 96821, 315, 264, 43680, 311, 279, 11964, 3394, 95081, 78447, 315, 279, 1561, 98845, 2476, 568, 6267, 512, 51928, 36658, 527, 14763, 11, 439, 814, 527, 17277, 304, 5270, 555, 279, 7665, 6136, 388, 11, 449, 459, 23356, 4986, 61050, 11, 279, 42242, 527, 11622, 32720, 709, 11, 477, 3719, 2753, 44611, 13, 578, 28036, 315, 279, 36617, 9861, 9235, 2391, 264, 961, 315, 279, 1060, 11, 527, 16489, 1139, 98931, 11, 15716, 2294, 62555, 4498, 389, 279, 36394, 13, 578, 274, 1637, 323, 78343, 67503, 505, 279, 15998, 12, 6798, 389, 279, 11314, 315, 279, 24405, 11, 279, 21160, 16054, 304, 11422, 527, 912, 5129, 3242, 31035, 304, 872, 3388, 25, 323, 4619, 315, 14297, 49806, 287, 279, 2237, 315, 279, 36617, 555, 23053, 51791, 811, 11, 814, 18742, 654, 2391, 8987, 52902, 279, 11314, 315, 279, 35231, 11, 11984, 1523, 279, 20784, 17614, 11, 323, 1376, 1884, 11210, 92629, 811, 430, 23248, 349, 279, 3224, 49216, 39, 3635, 94144, 3782, 311, 2778, 369, 323, 58389, 279, 31426, 315, 7138, 13, 1283, 12570, 709, 369, 279, 9420, 323, 369, 3674, 12437, 13, 1226, 649, 4048, 505, 813, 25572, 369, 22556, 12659, 13, 88409, 94144, 574, 459, 12434, 28568, 1524, 1603, 279, 4339, 4676, 477, 72546, 1051, 78718, 320, 10828, 22, 323, 220, 9674, 20, 11, 15947, 4390, 32576, 433, 374, 32100, 430, 10585, 35054, 11, 22618, 6108, 11, 57193, 35821, 11, 1093, 279, 88288, 29098, 304, 279, 3723, 4273, 11, 279, 9634, 22073, 95079, 304, 279, 3723, 15422, 323, 279, 3728, 6150, 36478, 369, 31636, 11, 617, 4529, 3789, 304, 220, 679, 24, 11, 279, 1060, 315, 88409, 94144, 753, 220, 5154, 339, 15553, 389, 6250, 220, 975, 13, 18093, 11, 13739, 11, 38614, 11, 50829, 11, 47679, 11, 47674, 323, 279, 35952, 315, 264, 18273, 1054, 39, 3635, 94144, 18319, 527, 13847, 2001, 719, 539, 779, 1790, 1618, 304, 279, 3723, 4273, 11, 1405, 584, 7293, 5457, 79100, 323, 49804, 555, 5054, 7951, 645, 14295, 13, 763, 13168, 11, 279, 10182, 5594, 462, 10789, 2978, 6980, 20186, 10968, 13, 9062, 2046, 389, 674, 37, 1907, 954, 2520, 25184, 11, 814, 4321, 704, 315, 872, 8853, 311, 7631, 264, 3938, 13, 7089, 502, 5315, 617, 3940, 872, 1866, 7640, 13, 6295, 44895, 527, 13205, 369, 6250, 220, 508, 11, 1120, 264, 2478, 2919, 1306, 279, 80459, 369, 88409, 94144, 753, 15553, 527, 927, 627, 72326, 3371, 603, 430, 12966, 617, 1193, 220, 717, 1667, 2163, 311, 8108, 20748, 323, 4017, 3728, 24808, 311, 459, 5376, 315, 220, 16, 13, 20, 11877, 62447, 1603, 2574, 636, 2216, 44517, 13, 1628, 3495, 389, 279, 19019, 63185, 73119, 5039, 6029, 430, 832, 3610, 9606, 3663, 52609, 13, 578, 12434, 380, 6941, 2468, 2002, 35179, 1071, 2391, 264, 3293, 3723, 19687, 10182, 10017, 430, 584, 527, 13176, 279, 1054, 18391, 315, 1057, 86569, 323, 279, 52609, 315, 1790, 315, 279, 5933, 1917, 2029, 480, 66798, 666, 359, 7881, 1101, 3782, 7833, 311, 279, 1486, 13, 6385, 4068, 389, 3297, 220, 1187, 11, 279, 1938, 315, 279, 2132, 3728, 10182, 13471, 520, 220, 16, 11, 15666, 10687, 304, 220, 7699, 5961, 706, 1193, 3116, 4339, 25, 1054, 24055, 2191, 4375, 13, 2100, 1180, 49216, 39, 3635, 94144, 11105, 279, 5754, 539, 4529, 13, 1283, 574, 264, 28568, 889, 5602, 4395, 439, 83416, 13, 1283, 2663, 369, 1695, 3728, 69606, 5383, 323, 76879, 311, 279, 84834, 40761, 315, 5070, 13, 5414, 19530, 15058, 1431, 568, 31035, 13, 32862, 264, 78258, 79500, 6541, 33341, 2574, 3235, 389, 459, 31322, 27834, 25, 9017, 11191, 4500, 323, 92948, 439, 422, 1070, 1051, 912, 16986, 13, 2100, 1457, 433, 753, 8475, 311, 19635, 430, 2391, 279, 1176, 11026, 315, 279, 220, 777, 339, 9478, 11, 20643, 6675, 88409, 94144, 574, 279, 2132, 63498, 11495, 1732, 304, 279, 1917, 1306, 70527, 13, 578, 6603, 68071, 813, 990, 1051, 6625, 1888, 82, 25812, 627, 2170, 961, 315, 813, 31678, 4101, 323, 3010, 4330, 67868, 4322, 1082, 11, 1054, 55324, 8801, 25, 362, 39501, 315, 264, 28479, 7817, 315, 279, 29849, 2476, 568, 6688, 810, 1109, 220, 1399, 1949, 323, 35306, 13739, 311, 9214, 315, 1274, 505, 682, 23291, 315, 2324, 13, 36798, 323, 3697, 315, 279, 13348, 1429, 11, 3026, 323, 3278, 11, 3995, 323, 2362, 34793, 311, 1461, 11, 436, 2756, 13, 1283, 1550, 539, 3974, 304, 459, 70916, 21970, 13, 5810, 304, 279, 3723, 4273, 11, 15687, 1101, 7020, 1633, 1664, 889, 568, 574, 323, 1148, 568, 1550, 13, 2435, 7086, 872, 25861, 11, 31276, 11, 24405, 11, 36658, 11, 8853, 323, 27943, 1306, 1461, 13, 11450, 568, 374, 2103, 264, 2466, 3568, 11, 719, 539, 369, 279, 4689, 586, 13, 4800, 568, 374, 3967, 4661, 24121, 1193, 4315, 24687, 14584, 88409, 94144, 5493, 4028, 279, 24867, 13, 2684, 527, 3892, 4642, 14673, 25, 578, 20643, 6675, 88409, 94144, 800, 2130, 2234, 35025, 374, 832, 315, 1124, 13, 1102, 706, 220, 1682, 11, 931, 3697, 13, 2435, 527, 14248, 323, 31839, 505, 682, 49255, 304, 220, 6860, 5961, 627, 2127, 19310, 87771, 11, 88409, 94144, 1450, 2695, 5646, 9214, 315, 12197, 824, 1060, 323, 5918, 459, 16781, 15603, 4009, 449, 8024, 812, 2391, 813, 19569, 13, 1115, 29130, 9731, 3432, 11, 24872, 555, 279, 14683, 3772, 13, 1115, 8779, 304, 10494, 813, 44818, 449, 11355, 34644, 13989, 323, 2561, 389, 7528, 15771, 627, 644, 1077, 2363, 1054, 791, 99575, 311, 84524, 25, 20643, 6675, 88409, 94144, 323, 279, 1443, 14550, 315, 5270, 2476, 30928, 423, 395, 363, 72278, 11, 279, 12656, 393, 13, 323, 76479, 426, 13, 5929, 17054, 315, 6498, 520, 279, 3907, 315, 44564, 41798, 11, 10975, 264, 2697, 3446, 922, 3842, 426, 13, 46899, 11, 549, 815, 13, 12667, 315, 5111, 11, 323, 1268, 304, 220, 9741, 23, 568, 12263, 88409, 94144, 304, 20437, 311, 2343, 813, 43666, 13, 1556, 12178, 8352, 1047, 1027, 3288, 311, 279, 2362, 893, 13, 1102, 574, 264, 7060, 8176, 449, 11888, 14370, 9204, 682, 279, 88409, 94144, 2035, 5144, 304, 279, 549, 815, 13, 2684, 574, 1101, 264, 6661, 13, 1102, 1071, 512, 2118, 27247, 649, 584, 10894, 279, 3600, 499, 617, 23188, 539, 1193, 311, 603, 719, 311, 682, 279, 1917, 13, 578, 836, 315, 88409, 94144, 374, 539, 1193, 264, 14048, 3492, 6957, 1057, 38883, 3224, 11, 505, 279, 63263, 315, 279, 23179, 311, 279, 21160, 315, 279, 16867, 11, 719, 584, 617, 39377, 13520, 555, 1202, 1005, 304, 1690, 5596, 315, 1057, 18455, 1981, 49216, 10156, 439, 568, 8220, 5403, 420, 70240, 307, 73994, 11, 279, 3778, 8810, 574, 6982, 304, 13, 362, 2766, 315, 8941, 287, 1523, 574, 2631, 13, 1054, 40, 6562, 499, 311, 1440, 2476, 68329, 88409, 94144, 11, 1054, 9210, 358, 1097, 264, 15140, 922, 220, 8652, 8931, 1317, 26, 358, 617, 1690, 14121, 332, 5548, 11, 539, 1790, 45888, 11, 719, 358, 1097, 2539, 315, 7795, 49216, 9619, 315, 7795, 13, 2684, 527, 2103, 7795, 304, 27966, 753, 88409, 94144, 11188, 25, 71116, 7795, 13, 4314, 2919, 279, 3995, 7795, 527, 15042, 304, 44355, 4804, 323, 2231, 1139, 279, 4365, 555, 12966, 369, 279, 17069, 315, 279, 10775, 2269, 11218, 4029, 13, 7089, 10687, 7086, 88409, 94144, 690, 3663, 6129, 11774, 13, 763, 18671, 7188, 11, 369, 3187, 11, 3495, 323, 34104, 7978, 7168, 430, 3892, 10977, 304, 6366, 88409, 94144, 6406, 690, 387, 38593, 927, 555, 259, 3422, 389, 264, 7446, 8197, 13, 1115, 3158, 706, 279, 8592, 15635, 315, 9581, 11852, 10205, 389, 279, 16781, 549, 815, 13, 4410, 16377, 627, 29174, 389, 279, 36941, 374, 279, 4754, 369, 50453, 39500, 10160, 4907, 7224, 13, 578, 18671, 80944, 706, 1317, 1027, 27458, 439, 10728, 11, 1524, 71257, 304, 279, 549, 815, 2637, 719, 279, 2254, 3090, 8149, 574, 2288, 5655, 369, 10160, 66270, 45218, 13, 4800, 279, 5652, 14645, 315, 19596, 15771, 3085, 10105, 13, 1628, 88409, 94144, 9332, 1101, 706, 7188, 753, 1193, 5655, 55051, 2700, 10411, 315, 5960, 13175, 11, 902, 690, 387, 7718, 304, 8405, 279, 14054, 369, 33268, 4907, 5070, 627, 791, 1695, 3754, 374, 430, 14132, 584, 2736, 617, 17049, 14645, 11, 12823, 323, 279, 8198, 430, 649, 1520, 603, 311, 3665, 279, 11841, 505, 10671, 71113, 10796, 15729, 13, 1102, 690, 387, 5107, 323, 264, 1317, 2653, 36049, 13, 1611, 6260, 449, 279, 27531, 5064, 574, 4228, 7863, 311, 279, 47603, 311, 2586, 11, 323, 279, 45525, 527, 5190, 1109, 814, 617, 3596, 1027, 627, 39, 3635, 94144, 753, 64955, 220, 5245, 22, 1054, 85901, 389, 279, 84425, 315, 50298, 863, 574, 4756, 304, 264, 4686, 6498, 44658, 14807, 369, 279, 1176, 892, 304, 220, 1049, 24, 555, 279, 3907, 315, 10780, 8612, 13, 1666, 279, 21959, 753, 4096, 10975, 603, 11, 279, 2363, 14861, 1054, 24470, 810, 1109, 1202, 2316, 24897, 13, 4696, 510, 40, 60, 83, 11105, 279, 1176, 28664, 2987, 315, 459, 8936, 1413, 3451, 40657, 315, 279, 9578, 14639, 863, 72278, 6880, 433, 264, 990, 555, 1054, 414, 1176, 62938, 98636, 2029, 13266, 4560, 311, 1505, 264, 9025, 1054, 998, 279, 3938, 1288, 1212, 449, 420, 2363, 11, 88409, 94144, 753, 75703, 369, 279, 220, 1691, 267, 9478, 2029, 1666, 264, 88409, 94144, 8571, 11, 358, 7655, 627, 791, 220, 5245, 22, 9071, 374, 264, 8147, 5754, 2472, 15107, 555, 264, 1685, 12575, 98636, 11, 323, 433, 5039, 279, 3229, 753, 61876, 8830, 315, 279, 5933, 1917, 512, 40, 60, 83, 11105, 279, 1176, 28664, 2987, 315, 459, 8936, 1413, 3451, 40657, 315, 279, 9578, 14639, 863, 72278, 6880, 433, 264, 990, 555, 1054, 414, 1176, 62938, 98636, 2029, 13266, 4560, 311, 1505, 264, 9025, 1054, 998, 279, 3938, 1288, 1212, 449, 420, 2363, 11, 88409, 94144, 753, 75703, 369, 279, 220, 1691, 267, 9478, 2029, 1666, 264, 88409, 94144, 8571, 11, 358, 7655, 13, 578, 220 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2028, 3857, 6276, 499, 311, 1684, 682, 8158, 1903, 555, 420, 4562, 13, 7181, 430, 499, 649, 1193, 1518, 8158, 1903, 304, 5789, 499, 5131, 617, 2680, 311, 627, 46103, 482, 328, 680, 71, 17402, 198, 24633, 389, 25, 5587, 220, 2371, 11, 220, 679, 18, 11, 220, 2371, 25, 1987, 25, 1682, 5975, 125341, 10149, 1005, 3010, 304, 279, 3938, 198, 24633, 389, 25, 7552, 220, 914, 11, 220, 679, 18, 11, 220, 1721, 25, 2166, 25, 2790, 6912, 125341, 50, 6427, 433, 369, 220, 1774, 40727, 11, 3970, 279, 6412, 358, 1027, 8748, 369, 781, 78, 1786, 627, 36920, 3634, 25, 220, 605, 41949, 198, 24633, 389, 25, 6664, 220, 2371, 11, 220, 679, 17, 11, 220, 2437, 25, 1627, 25, 4370, 6912, 125341, 40, 2846, 3411, 369, 9601, 47595, 950, 16537, 11, 2417, 10209, 512, 22, 4725, 2700, 45385, 198, 16, 11625, 3634, 198, 1671, 28470, 328, 680, 71, 17402, 389, 50940, 35555, 689, 13892, 627, 24633, 389, 25, 5887, 220, 777, 11, 220, 679, 17, 11, 220, 2318, 25, 845, 25, 2304, 5975, 125341, 3844, 8635, 11, 574, 3201, 14, 2642, 74, 505, 18742, 35555, 689, 264, 1418, 779, 5675, 279, 6677, 315, 10345, 388, 5922, 28509, 340, 843, 3, 69121, 11, 5975, 757, 477, 5975, 328, 680, 71, 17402, 389, 1847, 627, 10149, 305, 351, 3491, 11911, 389, 3085, 627, 24633, 389, 25, 6664, 220, 1591, 11, 220, 679, 15, 11, 220, 2545, 25, 4331, 25, 3174, 5975, 125341, 50, 6427, 1521, 9861, 453, 2641, 2533, 358, 15890, 4902, 1790, 14926, 13, 1442, 499, 617, 904, 4860, 1120, 5975, 757, 627, 4444, 87, 301, 304, 11002, 8, 320, 12686, 505, 17262, 37183, 53876, 340, 1548, 596, 1523, 311, 220, 16, 2700, 1457, 719, 264, 2294, 832, 627, 5063, 99913, 64389, 25, 9601, 393, 8186, 24510, 16169, 12359, 982, 20906, 12748, 7586, 1643, 23950, 27899, 340, 25, 220, 1758, 3, 69121, 14, 1272, 41949, 477, 832, 315, 279, 10345, 388, 10212, 3485, 3924, 33, 198, 51001, 505, 13321, 27582, 96860, 11, 323, 3331, 315, 279, 19229, 13309, 8, 7229, 291, 198, 25, 220, 1272, 3, 68893, 14, 220, 1135, 41949, 31825, 198, 72219, 505, 70825, 822, 71, 11, 323, 279, 1888, 379, 773, 822, 71, 3786, 53311, 3751, 304, 279, 1847, 340, 25, 220, 508, 3, 393, 11079, 33, 198, 7, 3915, 39285, 613, 11, 323, 22022, 315, 279, 220, 1032, 339, 19037, 340, 7229, 291, 865, 220, 16, 1905, 512, 14615, 598, 459, 1097, 3035, 1122, 4560, 311, 387, 54048, 5255, 23655, 73287, 6266, 7229, 291, 198, 25, 220, 605, 3, 69121, 31825, 198, 7, 4054, 315, 279, 4802, 5885, 505, 16290, 7181, 15302, 13478, 535, 8, 7229, 291, 198, 25, 220, 868, 3, 69121, 14, 508, 41949, 31825, 198, 24633, 389, 25, 6664, 220, 972, 11, 220, 679, 15, 11, 220, 717, 25, 2437, 25, 1272, 5975, 125341, 50, 6427, 25, 9601, 16537, 320, 14394, 435, 85094, 25002, 340, 2000, 1120, 220, 5313, 3, 69121, 3001, 6440, 565, 61, 198, 39, 85996, 2288, 11, 14117, 627, 2822, 2417, 4276, 25694, 4205, 775, 719, 8515, 627, 8971, 477, 98074, 328, 680, 71, 17402, 6892, 373, 1193, 422, 8173, 627, 24633, 389, 25, 6287, 220, 2437, 11, 220, 679, 15, 11, 220, 2371, 25, 868, 25, 1419, 5975, 125341, 26833, 21605, 268, 25, 220, 914, 26101, 1671, 28470, 328, 680, 71, 17402, 477, 5975, 389, 1618, 198, 24633, 389, 25, 5936, 220, 1682, 11, 220, 679, 15, 11, 220, 2371, 25, 2437, 25, 508, 5975, 125341, 41, 1037, 74495, 11, 656, 499, 1514, 433, 30, 1102, 596, 264, 1633, 7155, 78285, 19945, 11637, 1847, 90957, 13, 51678, 5737, 433, 369, 4661, 220, 17, 1667, 1457, 13, 551, 18, 1277, 1129, 44490, 12211, 3836, 14957, 916, 6018, 3923, 596, 1695, 922, 433, 374, 430, 433, 596, 330, 10816, 1, 323, 499, 1541, 956, 617, 311, 2343, 311, 1514, 433, 11, 1193, 369, 3361, 3673, 7344, 13, 1628, 74285, 701, 54260, 11, 902, 374, 3196, 1022, 15369, 11, 323, 1778, 13, 3053, 1524, 29478, 14, 7082, 4433, 1866, 26159, 13, 1628, 1990, 433, 323, 50940, 35555, 689, 11, 18742, 35555, 689, 11, 439, 304, 824, 1764, 3673, 12365, 11, 45037, 374, 23917, 11, 27296, 6801, 6852, 57322, 527, 4790, 481, 3554, 332, 4725, 57322, 527, 16058, 6965, 11, 779, 499, 16869, 594, 616, 1884, 3131, 1701, 1124, 35047, 791, 282, 1003, 919, 1093, 31298, 263, 788, 320, 37521, 1529, 377, 11401, 8, 323, 1556, 276, 596, 320, 5902, 8954, 832, 328, 680, 71, 596, 304, 3770, 8, 649, 2134, 505, 220, 1041, 74, 12, 5894, 74, 320, 5894, 3, 8, 719, 814, 617, 29219, 7512, 311, 3041, 311, 701, 311, 263, 627, 7098, 5294, 374, 856, 1925, 389, 1070, 11, 323, 358, 3021, 1124, 11, 2533, 814, 649, 28645, 10099, 1093, 64579, 16675, 7596, 17146, 33214, 17146, 52214, 16675, 620, 449, 2204, 2704, 14718, 22223, 11, 3235, 449, 11012, 430, 11384, 24708, 11628, 321, 768, 14, 4368, 56956, 16675, 273, 291, 323, 68247, 430, 1587, 279, 1890, 439, 19837, 11, 1193, 3254, 18996, 497, 28509, 198, 22739, 328, 32209, 10532, 358, 1903, 315, 279, 75400, 340, 33, 4601, 6207, 25, 1795, 1129, 82, 680, 26233, 582, 2315, 22247, 5485, 472, 916, 69080, 18236, 80, 28, 51015, 5, 3255, 28, 1187, 70567, 67, 18, 12791, 15, 3306, 198, 24633, 389, 25, 5587, 220, 2437, 11, 220, 679, 15, 11, 220, 2304, 25, 1806, 25, 1272, 5975, 125341, 2460, 358, 649, 2019, 374, 420, 34490, 27207, 757, 520, 1176, 994, 358, 1176, 6755, 922, 433, 11, 2646, 7020, 459, 38413, 1436, 656, 420, 1790, 7958, 11, 358, 3152, 856, 1176, 4623, 374, 1975, 333, 433, 574, 420, 8147, 11, 1268, 2586, 279, 4459, 1917, 3287, 956, 2733, 433, 11, 44491, 757, 369, 539, 14392, 1790, 922, 66579, 11, 719, 22371, 78928, 9, 51210, 220, 679, 17, 5804, 437, 520, 990, 1457, 28509, 1131, 5736, 3923, 596, 701, 11555, 389, 433, 5380, 3112, 4587, 11, 2567, 279, 4617, 49150, 627, 24633, 389, 25, 5936, 220, 806, 11, 220, 1049, 24, 11, 220, 2839, 25, 717, 25, 3174, 5975, 125341, 697, 44182, 2533, 279, 5818, 374, 704, 1457, 323, 279, 1566, 892, 358, 8621, 2288, 5246, 865, 35, 198, 3923, 596, 701, 18463, 311, 279, 16537, 4047, 38321, 14270, 30, 3234, 499, 1781, 433, 53312, 11, 477, 656, 499, 1781, 433, 3604, 1047, 1063, 4754, 315, 1694, 264, 1695, 5818, 5380, 24633, 389, 25, 6664, 220, 1591, 11, 220, 1049, 23, 11, 220, 2839, 25, 508, 25, 2437, 5975, 125341, 56, 3178, 24551, 25, 39405, 5768, 369, 50940, 35555, 689, 25907, 13, 358, 6216, 1077, 856, 2324, 9943, 87, 369, 220, 1041, 41949, 323, 1047, 311, 3868, 369, 264, 2478, 2919, 369, 1077, 358, 920, 311, 387, 11007, 311, 18742, 35555, 689, 311, 3780, 757, 279, 15096, 88, 6412, 320, 14789, 43308, 489, 2305, 43308, 5099, 570, 2100, 358, 6688, 1077, 856, 9943, 87, 2103, 11, 220, 20, 2919, 3010, 358, 1421, 2270, 856, 1023, 8323, 449, 912, 3575, 11, 1364, 596, 264, 10437, 1732, 323, 9396, 449, 3794, 856, 1023, 8323, 2884, 4999, 9370, 64, 25, 15668, 7095, 1285, 1732, 0, 1283, 1081, 1854, 291, 757, 369, 220, 806, 20946, 323, 358, 6688, 1461, 264, 11729, 292, 632, 11, 23468, 1461, 220, 2031, 40727, 369, 1124, 682, 13, 358, 3288, 1124, 682, 311, 1461, 311, 1005, 10478, 813, 3300, 3782, 304, 11, 3952, 1093, 264, 2305, 719, 358, 574, 8893, 13, 1283, 3288, 279, 40727, 7833, 311, 757, 439, 5246, 439, 568, 2751, 813, 1817, 520, 279, 842, 315, 279, 2305, 4999, 49436, 655, 398, 25, 41896, 291, 757, 2324, 490, 285, 369, 11941, 287, 1124, 311, 1077, 11, 3952, 1063, 892, 719, 30401, 574, 2884, 0, 3005, 9076, 757, 459, 4902, 320, 56902, 882, 84, 8, 389, 856, 4934, 1160, 477, 279, 220, 1135, 40727, 11, 358, 13061, 279, 4902, 16762, 882, 84, 315, 3388, 779, 1364, 2343, 291, 757, 1203, 0, 54695, 3507, 39, 5091, 8721, 54, 37041, 56, 0, 72290, 198, 57, 306, 5721, 437, 25, 16782, 8748, 369, 813, 320, 868, 40727, 8, 2800, 8323, 369, 264, 6290, 1081, 1854, 13, 13596, 40893, 1606, 315, 3515, 311, 2389, 318, 81, 813, 358, 920, 311, 50940, 35555, 689, 311, 3780, 279, 40727, 198, 4126, 25, 1283, 25338, 4006, 50456, 56, 7318, 757, 279, 2800, 315, 279, 220, 868, 40727, 568, 49009, 757, 13, 15148, 1022, 304, 24047, 35047, 33, 1823, 20546, 25, 78262, 279, 453, 2641, 1226, 68, 370, 2689, 323, 468, 29789, 1022, 1461, 2225, 369, 220, 18, 40727, 13, 1283, 574, 48566, 323, 11919, 449, 279, 8323, 323, 6688, 757, 279, 453, 2641, 439, 5246, 439, 358, 7318, 627, 30635, 882, 33954, 354, 5797, 25, 7839, 323, 7095, 1285, 1274, 11, 31207, 1077, 856, 9601, 735, 29163, 369, 872, 9601, 23503, 323, 1398, 79863, 735, 29163, 627, 42, 750, 25, 55182, 757, 2324, 597, 29163, 311, 656, 1077, 97549, 13, 7839, 4333, 627, 18544, 64359, 25, 24805, 264, 6555, 6696, 449, 1077, 11, 31207, 856, 220, 18, 6634, 2324, 26161, 369, 1077, 220, 1135, 40727, 323, 2324, 342, 894, 29069, 627, 44, 2818, 40, 12598, 22342, 56, 25, 78262, 264, 6954, 1037, 2700, 505, 757, 11, 6696, 4024, 1633, 1664, 551, 1644, 198, 44, 664, 6780, 1273, 72, 25, 1183, 14589, 21849, 53703, 323, 12908, 505, 1077, 11, 1364, 596, 48174, 74436, 2288, 627, 57, 318, 25, 53792, 1503, 264, 3634, 505, 757, 11, 5782, 35013, 11, 1364, 596, 68514, 57042, 4999, 41, 686, 84, 25, 78262, 856, 2324, 597, 3328, 505, 11, 1364, 574, 1633, 8893, 323, 1524, 3582, 1063, 32174, 7077, 505, 13312, 950, 4819, 11, 433, 2103, 4024, 220, 1041, 4, 1664, 627, 67211, 36742, 7923, 370, 6181, 25, 28239, 2324, 735, 29163, 323, 28894, 263, 311, 1077, 369, 220, 4364, 3, 4619, 315, 40727, 311, 3780, 2324, 41784, 7197, 11, 69121, 2751, 34546, 11155, 1364, 31207, 757, 1077, 9601, 41784, 7197, 323, 356, 14795, 311, 1304, 433, 709, 13, 350, 1831, 29555, 374, 490, 100120, 43629, 13, 7429, 11021, 264, 9601, 7205, 906, 8255, 505, 1077, 369, 1989, 11, 1364, 6688, 433, 311, 757, 1306, 264, 2478, 1069, 1238, 439, 19487, 627, 18544, 64359, 25, 28239, 264, 2700, 311, 1077, 11, 4619, 315, 3794, 8323, 505, 1077, 1176, 1364, 30315, 369, 757, 311, 3708, 279, 2700, 1176, 13, 25545, 8323, 1306, 11, 6555, 311, 990, 449, 551, 18, 627, 24633, 389, 25, 6664, 220, 1721, 11, 220, 1049, 23, 11, 220, 2839, 25, 2589, 25, 1114, 5975, 125341, 2170, 279, 279, 2316, 2795, 627, 3269, 483, 374, 49109, 11, 2744, 340, 24633, 389, 25, 6250, 220, 1032, 11, 220, 1049, 23, 11, 220, 1721, 25, 975, 25, 2371, 6912, 125341, 87030, 426, 34783, 18396, 449, 4885, 13, 358, 1781, 27016, 3370, 25241, 264, 2763, 323, 18943, 805, 596, 8951, 617, 13241, 11, 2103, 3021, 1701, 1461, 264, 2763, 2288, 627, 3923, 3752, 29076, 499, 279, 1455, 5380, 24633, 389, 25, 6287, 220, 1419, 11, 220, 1049, 23, 11, 220, 2705, 25, 1135, 25, 1135, 5975, 125341, 23274, 369, 39371, 706, 63758, 2521, 13, 358, 4934, 311, 3780, 433, 11, 477, 422, 539, 11, 3041, 3630, 389, 422, 433, 596, 369, 6412, 477, 539, 627, 54, 7719, 311, 636, 433, 311, 2489, 856, 4902, 42041, 627, 24633, 389, 25, 5651, 220, 2839, 11, 220, 1049, 23, 11, 220, 1721, 25, 1774, 25, 1758, 5975, 125341, 40, 5895, 11, 3686, 358, 1193, 636, 5370, 11503, 13, 33634, 1440, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 77746, 1789, 33955, 9935, 574, 4756, 389, 3297, 220, 717, 11, 220, 679, 22, 520, 220, 717, 25, 1691, 9012, 13, 1102, 374, 23700, 520, 279, 33955, 5699, 13, 29485, 1789, 33955, 9935, 374, 38213, 449, 29485, 1789, 33955, 9935, 11, 29485, 11, 1789, 11, 33955, 11, 9935, 35047, 77746, 15959, 6806, 5081, 320, 79, 1609, 39615, 331, 99638, 81, 705, 25342, 71722, 308, 2637, 348, 2637, 482, 83, 3149, 11, 482, 66467, 6806, 287, 627, 12, 264, 9302, 13340, 315, 264, 1732, 11, 1665, 11, 477, 6237, 11, 439, 264, 19354, 11, 13633, 11, 10512, 11, 5099, 18976, 358, 6920, 264, 6945, 315, 856, 6800, 3124, 304, 856, 15435, 627, 12, 904, 9621, 2217, 11, 4869, 9124, 25, 9364, 27000, 304, 264, 7463, 315, 3090, 627, 12, 264, 10723, 2217, 25, 264, 2867, 6945, 315, 1268, 568, 1047, 7111, 430, 1938, 627, 12, 264, 4040, 2217, 477, 8903, 439, 45877, 304, 459, 2759, 477, 4096, 280, 12, 264, 57234, 11, 439, 304, 66333, 13340, 627, 12, 3580, 11633, 6945, 627, 12, 9364, 11, 31701, 278, 320, 2061, 1005, 570, 9698, 627, 12, 264, 1732, 11, 3245, 11, 1912, 11, 477, 6237, 27458, 439, 71707, 264, 990, 315, 72829, 22676, 1989, 304, 13444, 11, 1913, 24639, 315, 11341, 11, 5099, 18976, 3005, 574, 264, 6945, 304, 1077, 502, 6437, 8679, 627, 12, 279, 2217, 477, 4832, 93874, 315, 4423, 775, 25, 1283, 374, 279, 6945, 315, 813, 7126, 627, 12, 264, 9621, 477, 14509, 49497, 315, 1063, 4367, 477, 3044, 25, 279, 6945, 315, 2890, 627, 12, 264, 6671, 477, 743, 315, 13463, 25, 279, 7100, 6945, 627, 12, 279, 2217, 389, 264, 6500, 8891, 11, 279, 20705, 4264, 315, 264, 12707, 743, 11, 477, 264, 11633, 80758, 4264, 627, 12, 311, 4097, 304, 264, 6945, 477, 72829, 22676, 398, 11, 439, 555, 19354, 477, 13633, 627, 12, 311, 1376, 264, 10723, 6945, 315, 280, 318, 24281, 25, 1283, 7846, 956, 6945, 5678, 3815, 1778, 264, 3245, 627, 12, 311, 43504, 304, 4339, 280, 12612, 4876, 2740, 25, 1283, 42666, 22463, 779, 43120, 398, 430, 499, 4376, 91305, 32077, 499, 1051, 1070, 627, 12, 311, 3118, 477, 1893, 439, 264, 6376, 280, 403, 11872, 25, 5414, 2363, 42666, 279, 1917, 315, 279, 3938, 627, 2520, 2000, 320, 69, 9769, 81, 26, 65890, 14715, 282, 99638, 81, 705, 25342, 71722, 22033, 627, 12, 449, 279, 1665, 477, 7580, 315, 25, 311, 1629, 369, 10368, 627, 12, 10825, 311, 9352, 311, 11, 477, 387, 1511, 304, 3717, 449, 25, 7241, 369, 279, 13695, 26, 264, 33044, 369, 26863, 627, 12, 924, 5977, 279, 10096, 477, 3966, 315, 25, 16088, 369, 279, 20330, 627, 12, 304, 2015, 311, 6994, 11, 8895, 11, 477, 21953, 25, 264, 7937, 369, 453, 65556, 26, 311, 990, 369, 23998, 627, 12, 320, 2656, 311, 3237, 264, 6562, 11, 439, 315, 2555, 311, 387, 10534, 477, 12457, 1680, 507, 11, 369, 264, 9439, 7172, 4999, 12, 16614, 477, 27078, 311, 25, 459, 8071, 369, 13444, 627, 12, 951, 404, 788, 315, 25, 264, 79422, 369, 2555, 26, 264, 12945, 369, 27555, 15447, 627, 12, 304, 18361, 477, 8323, 315, 280, 258, 471, 369, 25, 2380, 369, 264, 18160, 26, 311, 387, 57595, 369, 832, 596, 9045, 627, 12, 8475, 477, 30464, 311, 25, 264, 3917, 369, 33422, 26, 15447, 369, 12688, 627, 12, 449, 5363, 477, 5201, 311, 25, 17770, 369, 892, 26, 2288, 8369, 369, 5936, 627, 12, 2391, 279, 16513, 685, 315, 25, 369, 264, 1317, 892, 627, 12, 304, 4799, 315, 280, 263, 279, 3185, 315, 25, 311, 387, 369, 10978, 3109, 627, 12, 304, 2035, 315, 280, 65937, 315, 25, 264, 28779, 369, 14432, 627, 12, 304, 279, 2802, 315, 280, 263, 17981, 315, 25, 311, 1180, 369, 264, 3016, 627, 12, 304, 9473, 369, 280, 300, 459, 4445, 311, 25, 12523, 369, 12523, 26, 3300, 369, 11822, 627, 12, 304, 25060, 315, 25, 8323, 369, 279, 9977, 627, 12, 304, 16044, 315, 25, 311, 3041, 264, 14177, 369, 264, 1732, 627, 12, 449, 279, 7580, 315, 19261, 25, 311, 1212, 369, 7295, 627, 12, 6044, 6844, 311, 25, 369, 279, 9610, 315, 16470, 627, 12, 304, 2015, 311, 3665, 25, 311, 28500, 369, 832, 596, 2324, 627, 12, 304, 2015, 311, 3719, 25, 311, 5542, 56197, 369, 15201, 627, 12, 304, 16720, 477, 63124, 311, 25, 459, 18101, 369, 279, 13658, 26, 3011, 596, 369, 499, 311, 10491, 627, 12, 1778, 439, 311, 2187, 315, 477, 311, 1397, 25, 2288, 1690, 369, 8821, 6420, 627, 12, 1778, 439, 3135, 304, 25, 813, 2944, 369, 2133, 627, 12, 439, 28987, 279, 12034, 477, 13463, 315, 25, 3958, 369, 832, 596, 2890, 627, 12, 304, 21801, 477, 449, 5905, 311, 25, 1283, 374, 16615, 369, 813, 4325, 627, 12, 304, 279, 3752, 315, 280, 300, 1694, 25, 311, 1440, 264, 3245, 369, 264, 2144, 627, 12, 555, 2944, 315, 280, 28753, 315, 25, 311, 42223, 369, 16267, 26, 264, 3363, 61403, 369, 1202, 13444, 627, 12, 304, 34781, 315, 25, 1283, 596, 264, 15326, 7564, 369, 682, 430, 627, 12, 311, 279, 13112, 477, 3392, 315, 25, 311, 4321, 369, 264, 14929, 627, 12, 320, 2656, 311, 19678, 264, 3917, 304, 459, 82226, 535, 17571, 1680, 1102, 596, 892, 369, 757, 311, 733, 627, 12, 320, 2656, 311, 13519, 279, 1396, 315, 48188, 704, 315, 264, 5300, 1396, 315, 13865, 1680, 578, 8919, 574, 220, 17, 369, 220, 19, 304, 279, 1847, 627, 12, 369, 433, 11, 3580, 304, 320, 755, 13, 220, 1691, 4390, 12, 9298, 430, 280, 16061, 3039, 2788, 6806, 3039, 320, 2788, 39615, 299, 136, 227, 78, 136, 227, 76, 39615, 11, 482, 81, 129, 237, 129, 237, 76, 39615, 705, 25342, 71722, 308, 627, 12, 264, 3130, 24330, 323, 1511, 369, 21811, 627, 12, 11920, 14918, 449, 3021, 22747, 477, 1877, 25, 578, 5818, 374, 264, 14595, 14150, 23160, 627, 12, 27681, 42292, 280, 309, 20857, 25, 14150, 6548, 627, 12, 70598, 14090, 555, 82821, 25, 264, 14150, 4029, 627, 33697, 16836, 320, 86, 9769, 75, 705, 25342, 71722, 308, 627, 12, 904, 315, 5370, 15690, 49685, 96939, 3515, 264, 3160, 1790, 7191, 1109, 279, 26839, 323, 32644, 264, 19815, 7479, 3734, 1405, 89513, 555, 14365, 11, 11276, 11, 5099, 18976, 1511, 369, 23756, 11, 9313, 11, 477, 12625, 11, 477, 311, 1207, 60494, 15135, 3634, 11, 311, 1862, 27035, 11, 77395, 11, 477, 279, 1093, 11, 311, 14389, 9578, 11, 311, 25675, 304, 459, 3158, 11, 5099, 627, 12, 34067, 11, 14620, 13, 264, 23091, 472, 9408, 369, 16399, 10096, 627, 12, 459, 4998, 2229, 477, 528, 61186, 22881, 11, 61051, 11, 5099, 2637, 23377, 264, 7147, 25, 264, 7147, 315, 48786, 627, 12, 264, 7147, 12970, 11, 86028, 961, 11, 3245, 11, 3148, 11, 5099, 18976, 264, 7147, 315, 4027, 26, 264, 7147, 315, 17312, 627, 12, 459, 8126, 1201, 479, 311, 5471, 39262, 11, 439, 264, 56589, 68, 477, 9581, 7147, 627, 12, 279, 9935, 13, 3580, 20437, 9935, 627, 12, 279, 16335, 3646, 4632, 477, 6324, 315, 24693, 3769, 22973, 11, 14932, 11, 323, 27409, 279, 7106, 13693, 315, 459, 1665, 25, 279, 7147, 315, 264, 6680, 2849, 627, 12, 279, 3185, 315, 264, 2237, 477, 34738, 627, 12, 279, 927, 71, 8764, 477, 16940, 3185, 315, 264, 54344, 280, 64, 21363, 7147, 477, 4579, 16836, 627, 12, 26438, 279, 14620, 477, 26438, 14620, 11, 311, 3719, 43787, 477, 89706, 25, 30608, 279, 14620, 449, 90926, 627, 12, 6678, 477, 4585, 311, 279, 7147, 11, 311, 5457, 1139, 264, 28495, 6671, 280, 28400, 35950, 477, 38339, 6724, 25, 2876, 2262, 449, 16632, 11230, 279, 2489, 11, 814, 1511, 1475, 6776, 311, 4585, 279, 38279, 2128, 311, 279, 7147, 627, 12, 733, 927, 279, 7147, 11, 311, 1464, 704, 315, 9527, 25, 9728, 22692, 617, 1027, 743, 709, 304, 459, 5149, 311, 12602, 3892, 5804, 31095, 889, 4024, 927, 279, 7147, 627, 12, 733, 311, 279, 7147, 512, 12, 311, 387, 24164, 304, 264, 12324, 477, 10937, 280, 12, 311, 3775, 304, 2626, 11, 16948, 13, 311, 3719, 29320, 627, 12, 311, 387, 2231, 16038, 477, 25565, 627, 12, 311, 1935, 459, 14560, 323, 11075, 2361, 477, 6767, 25, 358, 4265, 733, 311, 279, 7147, 311, 3009, 1461, 505, 24509, 287, 627, 12, 4295, 279, 7147, 11, 320, 1073, 1317, 74908, 39380, 8, 311, 5662, 264, 1486, 304, 264, 7102, 11, 6118, 1306, 220, 508, 8931, 11, 994, 279, 2547, 596, 40373, 527, 21907, 79266, 323, 690, 13477, 9221, 16996, 311, 387, 3025, 311, 6381, 627, 12, 1022, 279, 7147, 512, 12, 7953, 279, 22651, 315, 4287, 2968, 477, 2944, 370, 77319, 25, 578, 7216, 499, 24116, 369, 3815, 279, 990, 374, 1022, 279, 7147, 627, 12, 88101, 704, 315, 279, 19664, 280, 65, 30582, 25, 4427, 315, 279, 15447, 304, 279, 11401, 1501, 1051, 2288, 1022, 279, 7147, 369, 279, 5578, 6130, 627, 12, 709, 2403, 279, 7147, 512, 12, 9277, 2403, 264, 7147, 311, 387, 16070, 555, 264, 23677, 19037, 627, 12, 304, 264, 16996, 477, 9200, 2361, 11, 16948, 13, 832, 304, 902, 18506, 477, 8060, 5084, 51551, 25, 11115, 6763, 7417, 1828, 2305, 11, 279, 2883, 690, 387, 709, 2403, 279, 7147, 627, 12, 709, 279, 7147, 11, 1139, 459, 1645, 98466, 89706, 11, 33630, 11, 477, 84971, 1614, 25, 578, 6926, 24408, 304, 279, 5274, 374, 10043, 5127, 709, 279, 7147, 627, 12, 315, 477, 47031, 311, 264, 7147, 25, 7147, 3634, 627, 12, 7982, 2403, 477, 389, 264, 7147, 25, 7147, 11012, 26, 7147, 272, 676, 627, 12, 31183, 11, 9277, 11, 477, 10487, 304, 477, 389, 264, 7147, 25, 7147, 24276, 26, 264, 7147, 6220, 627, 12, 311, 3289, 1497, 11, 9495, 1022, 11, 22497, 11, 6144, 11, 3973, 11, 5099, 2637, 449, 477, 439, 422, 449, 264, 7147, 320, 61917, 9630, 13, 555, 304, 477, 1022, 1680, 311, 7147, 279, 20085, 26, 311, 7147, 304, 279, 1514, 3158, 26, 1283, 374, 289, 4841, 304, 555, 6996, 315, 6776, 627, 12, 311, 26418, 477, 5266, 320, 64, 70458, 477, 1023, 8736, 8, 449, 264, 7147, 25, 311, 7147, 459, 20604, 20396, 627, 12, 311, 26418, 477, 1218, 2925, 320, 34431, 477, 4423, 8, 2949, 264, 7147, 320, 44066, 9630, 13, 555, 709, 1680, 578, 990, 5794, 1047, 289, 4841, 709, 279, 8415, 5115, 555, 16930, 627, 77746, 1789, 33955, 9935, 617, 220, 21, 34779, 1174, 814, 527, 33955, 9935, 1952, 26106, 765, 5277, 28069, 11, 9935, 28069, 811, 1628, 96004, 9935, 11, 2893, 16782, 8377, 11, 76212, 380, 47963, 5277, 11, 33955, 8377, 11, 2893, 16782, 63486, 38673, 9935, 11, 33955, 9935, 1952, 26106, 765, 5277, 28069, 11, 9935, 28069, 811, 1628, 96004, 9935, 11, 15394, 24138, 1435, 22919, 33955, 9935, 800, 5327, 9935, 5277, 90898, 3234, 2876, 28704, 9225, 11, 5492, 7127, 287, 11, 9601, 2209, 2876, 2206, 40412, 9935, 3799, 278, 482, 10919, 9935, 3799, 278, 482, 33955, 9935, 3799, 278, 482, 89957, 1697, 9935, 3799, 278, 13, 21883, 527, 279, 9364, 512, 77746, 1789, 33955, 9935, 17482, 1093, 264, 5933, 3813, 430, 690, 3041, 264, 20441, 4676, 323, 58930, 11, 3582, 539, 459, 7718, 961, 315, 264, 2162, 19433, 315, 279, 6246, 374, 1101, 2294, 994, 6646, 505, 701, 13189, 315, 39890, 11, 719, 1023, 1109, 430, 279, 42715, 1101, 706, 264, 990, 439, 264, 5873, 46552, 11951, 311, 7916, 279, 1427, 279, 3838, 5196, 11, 439, 1664, 439, 304, 3878, 315, 279, 22165, 315, 279, 6246, 2643, 387, 35328, 304, 279, 1203, 315, 279, 3838, 11, 16662, 279, 3838, 477, 13176, 279, 3838, 11, 38913, 433, 5992, 1633, 5107, 369, 279, 2132, 311, 1977, 264, 6246, 389, 279, 66419, 315, 1057, 7347, 4363, 6656, 4315, 279, 5199, 8125, 3249, 1274, 527, 46878, 311, 1893, 264, 20085, 304, 279, 2162, 1124, 11, 994, 304, 8903, 1690, 20414, 477, 2671, 430, 7931, 272, 4988, 311, 617, 2212, 433, 11, 369, 433, 574, 389, 420, 13402, 584, 3077, 10235, 1063, 15174, 369, 60299, 449, 13987, 18455, 311, 279, 4156, 13863, 315, 701, 2162, 627, 644, 69027, 279, 42715, 596, 3158, 374, 15792, 2068, 11, 584, 1288, 2980, 3892, 2574, 6041, 505, 279, 5873, 315, 11012, 11, 3634, 505, 1855, 1605, 779, 430, 8051, 279, 6246, 374, 13987, 719, 38913, 24415, 323, 2294, 304, 23318, 11, 810, 29485, 1789, 33955, 9935, 1253, 584, 23846, 1778, 10631, 3770 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 9642, 11, 12625, 11, 602, 9901, 499, 649, 8935, 4311, 311, 264, 11626, 12109, 887, 9477, 323, 1690, 1101, 6209, 13, 1472, 279, 29292, 5415, 11, 12109, 1972, 2136, 13, 8797, 37300, 2930, 27631, 12109, 16087, 2930, 34471, 389, 1587, 264, 2867, 701, 16946, 11, 7344, 1304, 43177, 13, 2650, 3062, 1486, 11, 584, 22519, 13520, 304, 279, 603, 34471, 323, 49939, 315, 2523, 11, 719, 1455, 4774, 13, 35802, 505, 34881, 684, 12109, 9633, 12933, 11, 499, 649, 1505, 1023, 13548, 11306, 25, 38668, 25, 578, 45434, 10357, 398, 11, 9671, 7159, 11, 323, 3885, 11, 12109, 1972, 2136, 13, 9843, 264, 2851, 25501, 279, 41165, 1391, 3585, 2237, 11, 872, 2759, 374, 9651, 33624, 323, 814, 649, 1212, 22128, 279, 33321, 323, 21845, 315, 279, 1828, 2237, 22571, 11, 12109, 1972, 2136, 13, 1666, 4311, 3351, 709, 814, 690, 4774, 279, 58286, 323, 279, 36169, 6514, 13, 3277, 499, 1212, 1022, 389, 47764, 499, 690, 636, 220, 1041, 4, 12306, 389, 279, 1176, 7782, 315, 20746, 1475, 6740, 709, 311, 400, 1041, 627, 57299, 12591, 76, 12109, 12306, 2082, 198, 66173, 8736, 6710, 11, 1405, 584, 636, 311, 7936, 323, 527, 29066, 2476, 305, 1409, 11497, 11, 1603, 409, 8461, 3779, 11, 1054, 275, 596, 264, 837, 24657, 6023, 1972, 2136, 13, 7252, 16211, 3217, 0, 1888, 2930, 34471, 220, 2366, 15, 489, 1949, 45858, 34815, 2930, 12109, 1888, 34815, 2930, 25725, 6732, 304, 220, 2366, 15, 1160, 315, 13, 220, 2366, 15, 9787, 3674, 8198, 13, 45546, 323, 13654, 29746, 279, 36935, 315, 813, 47679, 520, 279, 11837, 278, 352, 23542, 22541, 323, 12109, 1555, 279, 842, 315, 279, 1060, 13, 328, 36238, 4168, 4513, 19, 12109, 1972, 2136, 9787, 33241, 1030, 39339, 220, 2366, 16, 9787, 39339, 1121, 3432, 6693, 13, 37717, 264, 1934, 389, 279, 5178, 315, 279, 12109, 1972, 2136, 5613, 596, 33215, 23862, 11, 5578, 6325, 11, 2307, 6369, 13254, 11, 323, 7318, 13172, 2262, 13, 21115, 220, 22, 6800, 9787, 357, 1181, 645, 97230, 12699, 34471, 13, 2001, 1475, 2835, 602, 8298, 374, 6689, 304, 264, 1972, 12109, 0, 420, 374, 1972, 1514, 11, 1701, 1972, 3300, 323, 3515, 1972, 5326, 13, 358, 37106, 311, 1501, 279, 26792, 279, 13, 220, 18, 12109, 1972, 2136, 289, 14, 21231, 70, 4168, 4513, 19, 0, 1093, 279, 2835, 30, 57949, 433, 709, 0, 3021, 279, 2835, 30, 5387, 264, 4068, 0, 649, 956, 636, 3403, 315, 433, 30, 1243, 18447, 12340, 12491, 433, 30, 3371, 701, 13, 578, 9689, 374, 2949, 11689, 6138, 315, 279, 12109, 323, 21977, 13, 21115, 3814, 8679, 2082, 9787, 2930, 12109, 520, 9787, 21231, 70, 4168, 4513, 19, 12109, 1972, 2136, 9787, 88698, 5426, 28099, 12109, 9787, 12109, 912, 16946, 13, 220, 21, 109540, 115057, 2001, 11552, 13015, 323, 10195, 293, 47154, 7808, 274, 1136, 1764, 2064, 277, 1662, 389, 274, 7115, 4691, 21716, 4872, 436, 1494, 360, 342, 438, 6151, 311, 10519, 10799, 372, 304, 813, 44440, 7557, 2771, 311, 1817, 279, 56443, 287, 323, 26243, 8670, 1603, 49878, 287, 1521, 33321, 11, 74315, 389, 1584, 12109, 3217, 505, 279, 19451, 315, 459, 5150, 1732, 11, 12109, 1972, 2136, 13, 9671, 10180, 53448, 11406, 11871, 13, 8681, 3754, 369, 3974, 12109, 4311, 482, 1070, 596, 264, 14964, 56395, 315, 3974, 24204, 3953, 2561, 505, 15193, 38321, 31562, 13, 11406, 3953, 1778, 439, 15695, 53453, 80604, 11, 426, 4575, 47957, 328, 19901, 11, 8753, 80604, 11, 36169, 80604, 11, 9156, 80604, 11, 16537, 36845, 323, 34944, 80604, 527, 1120, 1063, 315, 279, 3974, 24204, 3953, 499, 649, 4774, 220, 1187, 14, 22, 13, 20776, 29298, 709, 311, 220, 16, 11, 931, 2637, 1297, 12591, 76, 12109, 12306, 2082, 13, 50599, 25, 78150, 5977, 612, 3161, 81949, 13, 4343, 12109, 1972, 2136, 28277, 13443, 323, 1972, 7394, 33215, 1797, 13, 34039, 7446, 5613, 13443, 11, 24608, 11, 33215, 7180, 13, 8267, 12109, 59318, 9787, 21231, 70, 4168, 4513, 19, 12109, 1972, 2136, 9787, 9012, 66, 101632, 102450, 100391, 120922, 100276, 100400, 65804, 48909, 35470, 100303, 100349, 106332, 101592, 69258, 35470, 220, 605, 13, 21115, 1972, 2136, 449, 21231, 70, 4168, 482, 3432, 482, 9417, 220, 6281, 3974, 9633, 5780, 1514, 323, 13280, 323, 33321, 389, 25, 11689, 5710, 220, 17, 5021, 315, 12205, 69428, 35684, 293, 1291, 71372, 389, 13, 220, 20, 109540, 115057, 2001, 9909, 25623, 5252, 73539, 22541, 612, 12109, 2613, 2686, 26, 47794, 12109, 3953, 26, 1405, 374, 69428, 49341, 12109, 26, 21231, 70, 4168, 4513, 19, 12109, 1972, 2136, 13, 37717, 264, 1934, 389, 279, 5178, 315, 279, 12109, 1972, 2136, 5613, 596, 33215, 23862, 11, 5578, 6325, 11, 2307, 6369, 13254, 11, 323, 7318, 13172, 2262, 13, 220, 21, 109540, 115057, 2001, 1624, 6151, 304, 279, 4216, 6693, 32126, 8987, 53958, 24895, 555, 37943, 83109, 11, 6522, 311, 3090, 26330, 28987, 5275, 24553, 7351, 304, 13, 220, 605, 31123, 1949, 912, 16946, 12109, 15012, 9787, 1888, 49211, 8446, 3776, 323, 2579, 9787, 4106, 15300, 9633, 1847, 9787, 21231, 70, 4168, 4513, 19, 12109, 1972, 2136, 13, 2001, 12109, 1972, 2136, 5927, 105927, 78746, 1532, 28277, 482, 5524, 98397, 27055, 116488, 112340, 99845, 3114, 19039, 2156, 30392, 16494, 12109, 1972, 2136, 13, 220, 21, 109540, 115057, 2001, 21231, 70, 4168, 4513, 19, 12109, 1972, 2136, 690, 7945, 499, 304, 49141, 315, 904, 7057, 499, 5268, 13, 578, 2883, 836, 3709, 13, 220, 22207, 15, 357, 24848, 1189, 2035, 13, 328, 36238, 4168, 4513, 19, 12109, 1972, 2136, 9787, 220, 1682, 39339, 1121, 13, 220, 20, 109540, 115057, 2001, 9012, 308, 64594, 1491, 72, 389, 11077, 7465, 3952, 264, 39620, 520, 813, 35938, 927, 872, 10461, 13015, 532, 51566, 11, 934, 5772, 814, 1051, 682, 9722, 291, 709, 304, 330, 876, 359, 876, 299, 78, 1, 5046, 3388, 11, 499, 649, 1101, 6847, 1514, 832, 1297, 15716, 499, 2733, 1093, 6201, 1119, 13, 763, 279, 1847, 4668, 11, 25725, 2930, 12109, 1972, 3300, 13, 6914, 603, 1501, 279, 8125, 13, 8339, 46030, 7694, 261, 374, 1101, 264, 3361, 4668, 369, 1884, 889, 527, 264, 2466, 8571, 315, 8339, 11, 523, 60539, 12109, 21481, 3953, 13, 2468, 32492, 53448, 21115, 499, 636, 810, 1109, 9958, 323, 55788, 11, 39155, 12109, 2835, 1847, 13, 1472, 1101, 636, 279, 2294, 2574, 922, 5270, 323, 499, 636, 279, 6981, 315, 14392, 499, 2351, 14892, 449, 264, 6573, 16924, 323, 16211, 2883, 13, 15668, 3629, 279, 912, 16946, 12306, 690, 387, 264, 8515, 3568, 323, 499, 3358, 4661, 2744, 387, 3984, 449, 264, 6505, 12109, 912, 16946, 12306, 2082, 311, 1005, 304, 279, 91455, 11, 323, 1690, 2294, 34471, 690, 1101, 3493, 912, 16946, 3541, 25632, 1354, 33321, 2288, 11, 12109, 3953, 369, 2523, 1949, 13, 4314, 4595, 315, 33321, 527, 14333, 779, 1790, 555, 6505, 16087, 323, 2007, 3953, 4311, 11, 323, 279, 1949, 16087, 323, 3953, 1957, 814, 3493, 374, 12738, 11, 10923, 499, 311, 11894, 264, 2865, 315, 6505, 12109, 2523, 2085, 10374, 264, 2960, 13, 1561, 53448, 369, 3658, 477, 8976, 18099, 2085, 12506, 13, 13596, 2294, 3245, 374, 279, 16087, 28612, 374, 430, 499, 649, 1514, 369, 1949, 11, 902, 374, 264, 1695, 1648, 311, 1296, 279, 3953, 2085, 86022, 1972, 3300, 11, 1933, 2172, 9633, 5780, 46988, 7016, 13, 11361, 311, 279, 21448, 527, 5737, 2930, 3432, 34471, 13, 35106, 16087, 369, 1063, 527, 82075, 439, 279, 24519, 7241, 11, 433, 374, 36033, 11, 13946, 12109, 1949, 220, 966, 912, 16946, 13, 9843, 701, 2759, 706, 1027, 33624, 311, 279, 6912, 9745, 2237, 304, 1057, 32492, 53448, 21845, 2068, 320, 10156, 7782, 3658, 3165, 1354, 29298, 41661, 220, 2366, 16, 482, 41785, 5159, 49828, 13, 3297, 220, 2318, 11, 220, 2366, 16, 32492, 53448, 21115, 43088, 468, 1435, 287, 25, 220, 1272, 14714, 1789, 4311, 25, 1561, 11, 11841, 220, 22, 12109, 12306, 14236, 220, 2366, 17, 13, 3320, 5281, 21115, 400, 966, 3658, 482, 2360, 49571, 489, 220, 5154, 4, 29298, 11, 1514, 23087, 3518, 9633, 2930, 13, 10349, 7460, 21115, 400, 2397, 3658, 32013, 482, 2360, 49571, 8524, 20776, 482, 1193, 386, 8445, 33321, 13, 9369, 2212, 279, 2816, 311, 636, 264, 2733, 369, 1405, 682, 315, 872, 3953, 323, 2759, 2038, 527, 7559, 779, 430, 499, 649, 1304, 279, 1455, 315, 701, 892, 1418, 499, 527, 304, 279, 2930, 12109, 11, 2930, 21481, 1972, 3300, 3148, 20652, 13, 3161, 279, 2204, 23204, 369, 2204, 12109, 3953, 433, 1288, 539, 387, 5107, 311, 1505, 264, 14791, 1847, 499, 1390, 311, 1514, 520, 45525, 430, 701, 6201, 1119, 649, 3790, 11, 1243, 5042, 4299, 389, 279, 1847, 323, 1212, 5737, 13, 78811, 555, 5064, 15749, 449, 16781, 6677, 304, 279, 2930, 16211, 5064, 584, 617, 9687, 311, 2231, 279, 6130, 1176, 11, 18355, 281, 46972, 912, 16946, 12306, 14236, 220, 2366, 17, 13, 32492, 53448, 21115, 1101, 706, 279, 1888, 2930, 12109, 3241, 304, 279, 2626, 449, 927, 220, 3965, 3953, 323, 810, 389, 279, 1648, 627, 6102, 12109, 5130, 11, 2930, 12109, 369, 44332, 198, 89428, 16946, 76500, 25, 400, 1041, 13, 2360, 30836, 13693, 369, 420, 12306, 13, 29298, 23583, 12222, 25, 220, 2366, 16, 12, 2545, 12, 966, 13, 3475, 701, 91455, 311, 49878, 279, 12306, 11, 12109, 1972, 2136, 13, 1115, 387, 10209, 374, 1789, 16946, 287, 45648, 13, 21334, 53691, 11835, 5623, 34563, 304, 279, 22541, 3158, 315, 31319, 79763, 26017, 11, 2047, 6427, 872, 78124, 10209, 311, 502, 36394, 11, 12109, 1972, 2136, 13, 1115, 3453, 9437, 439, 1690, 315, 2930, 10034, 39459, 2212, 2533, 220, 2550, 23, 11, 1070, 374, 1120, 9879, 11, 1297, 12591, 76, 12109, 12306, 2082, 13, 11481, 7091, 9689, 612, 12109, 62036, 9258, 374, 279, 17139, 9284, 369, 16211, 323, 16924, 11, 16850, 810, 1109, 220, 11387, 15, 14683, 3953, 11, 264, 5526, 4731, 22150, 13, 362, 84565, 220, 19, 1773, 18986, 10292, 12175, 323, 8577, 82894, 16125, 315, 38656, 27875, 22541, 11, 56617, 13225, 6209, 264, 12109, 11, 9689, 11, 10017, 4219, 11, 7970, 7197, 89, 23160, 6469, 13, 20474, 287, 1884, 889, 10434, 323, 3136, 311, 8854, 11, 584, 649, 956, 9901, 499, 3403, 13, 71570, 31643, 1541, 956, 10894, 584, 3085, 264, 220, 605, 4, 11336, 389, 3691, 369, 682, 4642, 323, 22311, 13, 18729, 17320, 24687, 9787, 28812, 21160, 22541, 323, 12109, 13, 42867, 1990, 279, 43516, 3838, 323, 22553, 17761, 718, 11, 279, 1973, 612, 14479, 998, 10960, 33511, 14135, 449, 6617, 488, 639, 240, 304, 3878, 315, 2225, 3691, 323, 95673, 13, 4718, 1888, 1297, 369, 16087, 11, 323, 279, 17139, 70993, 13, 3161, 927, 220, 1049, 1614, 8838, 10826, 38921, 16087, 499, 649, 733, 682, 304, 2085, 2133, 369, 14760, 13, 7639, 15925, 906, 698, 258, 220, 5538, 11, 220, 4645, 22, 10221, 57039, 13, 1226, 3085, 459, 3217, 1057, 15051, 690, 2567, 5108, 1203, 369, 25, 16757, 2532, 11, 264, 79198, 3691, 27832, 7051, 5130, 612, 459, 42292, 11, 16736, 16975, 0, 2806, 279, 5130, 369, 1973, 12109, 323, 10034, 3703, 323, 15926, 304, 2294, 17503, 11, 12232, 13, 3580, 10960, 35254, 11, 8544, 11, 18594, 11, 4641, 1396, 11, 2686, 11, 4207, 13, 578, 10799, 374, 20086, 323, 279, 5130, 374, 10213, 279, 1890, 13, 578, 34471, 8854, 17954, 13, 20585, 13218, 10960, 374, 1825, 449, 7347, 35254, 13, 356, 34352, 7436, 13726, 12109, 7436, 3691, 13, 1789, 3682, 19679, 323, 7340, 2523, 8267, 12109, 49211, 1973, 1297, 5117, 13, 2650, 499, 1390, 311, 18885, 701, 282, 2130, 552, 30, 6617, 25, 4113, 389, 420, 892, 311, 2567, 264, 2294, 38430, 467, 555, 279, 1689, 553, 276, 13, 4557, 8544, 505, 1973, 12109, 323, 10034, 3703, 520, 220, 8258, 15, 39935, 8961, 23527, 304, 2294, 17503, 220, 23428, 2371, 505, 22542, 2294, 17503, 10960, 60138, 13, 20474, 287, 1884, 889, 10434, 323, 3136, 311, 8854, 11, 584, 649, 956, 9901, 499, 3403, 13, 71570, 31643, 1541, 956, 10894, 584, 3085, 264, 220, 605, 4, 11336, 389, 3691, 369, 682, 4642, 323, 22311, 13, 7639, 596, 10034, 3703, 574, 2840, 70160, 596, 1176, 10034, 3703, 13, 7639, 596, 38119, 11510, 315, 3634, 311, 3821, 4661, 1475, 3682, 1847, 13, 15936, 304, 311, 4774, 2294, 21662, 612, 3691, 13, 23485, 1063, 1917, 538, 3691, 13, 3161, 779, 1690, 15400, 5130, 2671, 11, 499, 3358, 387, 5605, 74983, 311, 1057, 62618, 14846, 449, 701, 19214, 7172, 304, 832, 1450, 323, 13, 7639, 12109, 323, 10034, 3703, 2294, 17503, 5130, 482, 1684, 279, 5130, 369, 1973 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 49, 1983, 64, 323, 445, 847, 617, 1027, 832, 315, 856, 7075, 6857, 826, 3596, 2533, 279, 26924, 264, 9601, 15952, 304, 74982, 10913, 11, 323, 872, 990, 706, 1193, 17454, 16643, 323, 810, 87516, 2533, 430, 574, 1176, 4756, 13, 2435, 3207, 1457, 5655, 1139, 872, 1455, 32855, 20632, 311, 2457, 11, 279, 4758, 35156, 4101, 87258, 355, 13, 3161, 279, 11542, 315, 20514, 29799, 814, 636, 311, 5019, 872, 23492, 323, 35826, 1139, 279, 990, 304, 5627, 430, 15058, 1431, 3284, 520, 279, 6295, 9220, 11, 323, 433, 5039, 13, 358, 15243, 311, 279, 34821, 922, 1268, 814, 990, 3871, 11, 18702, 872, 1920, 11, 5597, 28846, 323, 279, 51266, 323, 94898, 430, 2586, 449, 1778, 264, 10508, 12934, 45168, 11049, 627, 4438, 1790, 656, 499, 1403, 4358, 279, 98536, 3446, 315, 87258, 355, 5380, 44612, 432, 1983, 64, 25, 8096, 5334, 264, 3460, 315, 6800, 1684, 11, 719, 2574, 527, 2744, 10223, 439, 358, 990, 389, 433, 13, 358, 1440, 1405, 584, 3207, 2133, 13, 358, 617, 459, 13696, 304, 4059, 26, 358, 4070, 2744, 1047, 279, 13696, 304, 4059, 13, 2030, 279, 6149, 311, 636, 1070, 93054, 323, 3460, 315, 3966, 311, 38680, 11, 11911, 389, 279, 990, 430, 584, 4070, 2884, 323, 1268, 433, 753, 76722, 13, 1226, 8541, 311, 4358, 3230, 67850, 810, 510, 54895, 279, 8244, 3446, 948, 8096, 5334, 264, 5429, 11, 323, 568, 753, 264, 1633, 3345, 6742, 13, 1283, 753, 539, 1120, 3411, 520, 1148, 568, 3966, 311, 4128, 26, 568, 16181, 1633, 15499, 323, 4131, 1203, 449, 4860, 922, 5885, 323, 279, 8244, 5216, 13, 1283, 15320, 11774, 757, 11, 10494, 757, 1633, 10978, 627, 26597, 445, 847, 25, 18156, 311, 813, 523, 351, 26355, 4999, 8796, 25, 510, 99332, 60, 18156, 13, 2468, 3115, 8096, 690, 1168, 57075, 1523, 389, 2574, 323, 358, 1120, 1205, 311, 2019, 11, 1054, 46648, 757, 389, 420, 11, 499, 3207, 5076, 2029, 1628, 1243, 568, 3585, 704, 2555, 430, 5039, 568, 753, 220, 1041, 4, 1314, 13, 358, 1781, 304, 430, 5647, 584, 617, 459, 10728, 20632, 13, 358, 1541, 1431, 1390, 311, 990, 449, 21739, 430, 3250, 1431, 2512, 13, 510, 43, 34144, 355, 60, 374, 11604, 3871, 323, 433, 753, 539, 264, 20632, 422, 8096, 4536, 1431, 1949, 311, 7899, 813, 11555, 13, 358, 1053, 1093, 311, 1781, 430, 439, 35711, 439, 433, 649, 387, 11, 323, 433, 649, 387, 35711, 439, 8096, 7633, 11, 279, 842, 1121, 5039, 279, 990, 2231, 304, 323, 358, 8434, 1431, 2349, 433, 627, 2735, 25, 1442, 584, 15058, 1431, 17436, 1855, 1023, 1148, 1053, 387, 279, 1486, 304, 3815, 433, 11, 2216, 30, 1226, 2225, 617, 279, 842, 5915, 304, 4059, 315, 3339, 433, 279, 1888, 3284, 2363, 584, 649, 779, 433, 753, 539, 1093, 433, 753, 3596, 11, 1054, 44612, 753, 459, 43358, 11, 568, 753, 5076, 863, 477, 11, 1054, 26597, 3250, 1431, 1440, 1148, 568, 753, 7556, 922, 2029, 1102, 753, 2744, 922, 1148, 753, 2133, 311, 8854, 279, 3446, 323, 279, 13016, 13, 2684, 527, 3115, 1405, 433, 90055, 1523, 311, 18340, 31655, 13, 2684, 753, 459, 14529, 25394, 584, 3207, 3515, 922, 2555, 304, 279, 1510, 4360, 584, 3207, 3318, 389, 13, 3092, 18340, 374, 11890, 757, 832, 3245, 323, 16431, 753, 374, 5605, 2555, 775, 11, 779, 584, 617, 311, 4321, 279, 1584, 1990, 1124, 13, 1102, 753, 539, 1524, 430, 3062, 11, 719, 584, 2103, 617, 1884, 20954, 627, 8796, 25, 1102, 753, 7185, 1606, 433, 3169, 315, 374, 459, 3062, 4360, 1606, 433, 753, 2753, 264, 3446, 4360, 1109, 264, 3488, 922, 1148, 584, 1390, 279, 2363, 311, 387, 323, 1148, 584, 1390, 311, 387, 5605, 304, 433, 13, 1628, 1884, 527, 7170, 279, 1455, 3062, 13878, 4856, 1109, 1148, 753, 279, 74534, 27744, 477, 1268, 656, 584, 1304, 264, 6237, 1427, 8056, 13, 13596, 16267, 315, 3318, 449, 8096, 374, 430, 584, 1505, 13520, 36540, 449, 19662, 4860, 11, 323, 4860, 430, 13016, 1053, 2646, 1524, 2980, 13, 2030, 584, 1440, 430, 584, 3207, 3515, 1521, 20954, 13, 510, 99332, 60, 2100, 433, 753, 2653, 311, 4320, 304, 279, 3230, 389, 430, 26, 584, 3207, 7556, 2212, 420, 3245, 430, 8096, 323, 358, 527, 36540, 449, 13, 1628, 584, 4070, 1027, 79531, 14633, 927, 279, 1566, 220, 1187, 4207, 13, 1102, 753, 459, 32692, 5873, 369, 264, 8668, 26, 430, 753, 1148, 433, 4131, 1523, 311, 13, 1628, 304, 430, 5597, 8096, 706, 311, 10491, 1268, 311, 31435, 1884, 21988, 13, 1628, 279, 2038, 430, 3966, 311, 387, 304, 1884, 21988, 706, 311, 387, 2038, 430, 20076, 5052, 1139, 1884, 21988, 13, 1628, 304, 279, 20076, 961, 584, 3207, 2216, 7556, 922, 2555, 430, 22223, 279, 2363, 389, 1063, 2237, 13, 2684, 527, 6105, 369, 1855, 3072, 11, 719, 520, 279, 842, 315, 279, 1938, 358, 4344, 2133, 311, 18440, 311, 1461, 1606, 568, 8964, 1268, 311, 3371, 279, 3446, 43395, 13, 3011, 753, 279, 3245, 568, 753, 7543, 813, 2324, 6975, 26, 430, 753, 813, 10151, 743, 13, 2100, 369, 757, 311, 636, 304, 279, 1648, 315, 430, 304, 904, 11401, 374, 32677, 627, 4438, 706, 279, 3392, 315, 990, 2631, 1234, 279, 4758, 1646, 7863, 449, 701, 17078, 5380, 2735, 25, 1102, 753, 1093, 3318, 389, 459, 1280, 88, 2363, 13, 3011, 753, 1268, 358, 3940, 704, 11, 389, 659, 2320, 11931, 6603, 13, 2684, 527, 1063, 2574, 584, 1541, 1431, 617, 311, 656, 1093, 18991, 323, 8141, 11, 719, 449, 2555, 1093, 8661, 1070, 753, 264, 2763, 810, 990, 13, 2468, 22883, 477, 11162, 499, 4128, 279, 2199, 11, 3708, 433, 304, 323, 499, 3207, 2884, 13, 2684, 753, 420, 4459, 2466, 5780, 430, 5097, 927, 323, 279, 54260, 40336, 323, 279, 20303, 374, 57087, 704, 520, 279, 842, 315, 433, 13, 1226, 8659, 636, 264, 2763, 810, 6532, 304, 279, 8661, 323, 22923, 315, 279, 2363, 13, 2684, 527, 264, 2763, 315, 11429, 430, 358, 3952, 369, 49780, 430, 527, 1694, 1903, 555, 279, 8271, 66614, 520, 279, 6295, 9220, 430, 584, 617, 311, 1304, 1457, 13, 1628, 430, 753, 1695, 26, 358, 4344, 539, 42126, 922, 433, 11, 358, 3604, 10932, 433, 13, 1628, 304, 264, 2763, 315, 5627, 358, 1781, 584, 3207, 810, 15337, 311, 1304, 279, 11429, 1109, 1884, 1274, 1051, 627, 3923, 4519, 527, 304, 279, 10657, 11348, 5380, 8796, 25, 1226, 4070, 2751, 264, 2216, 7155, 31085, 315, 279, 4465, 520, 279, 842, 315, 1221, 41633, 510, 1820, 11999, 15952, 1145, 902, 574, 264, 2466, 4545, 369, 603, 1120, 304, 3878, 315, 1268, 584, 51696, 13, 1102, 753, 2555, 584, 15243, 922, 3815, 4661, 7214, 1306, 430, 4360, 3782, 704, 323, 584, 3207, 6380, 311, 387, 3025, 311, 1501, 279, 1920, 13, 1226, 4070, 2751, 459, 2713, 315, 279, 4435, 5135, 11, 779, 499, 4805, 1518, 1268, 279, 41589, 55096, 32360, 6671, 706, 5614, 505, 279, 842, 315, 279, 1176, 1403, 67850, 311, 1457, 13, 1226, 4070, 2751, 264, 16645, 17747, 332, 18022, 510, 1820, 15034, 315, 87258, 355, 60, 7364, 409, 5457, 315, 3345, 33834, 323, 20604, 9660, 315, 473, 1197, 30617, 11, 39568, 323, 43749, 13, 16645, 11621, 264, 2763, 315, 2574, 902, 2643, 539, 387, 3970, 304, 279, 29159, 719, 527, 264, 8941, 315, 2523, 13, 358, 4510, 47809, 50664, 374, 3815, 2500, 3504, 13, 1226, 4070, 2751, 520, 3325, 832, 6710, 315, 1989, 430, 1047, 311, 387, 32828, 369, 459, 4360, 11, 779, 584, 3207, 2133, 311, 1629, 279, 4113, 6710, 304, 279, 4526, 13, 2684, 753, 810, 1109, 3403, 1695, 6392, 304, 1070, 627, 2735, 25, 2684, 753, 3604, 2133, 311, 387, 264, 2763, 810, 1109, 1070, 574, 304, 279, 1176, 8286, 1120, 1606, 315, 279, 1648, 279, 1396, 315, 6959, 304, 279, 4819, 19579, 279, 2199, 1797, 8670, 369, 279, 2653, 25082, 13, 1226, 9670, 709, 449, 264, 2763, 315, 5066, 6959, 420, 892, 902, 3445, 264, 2763, 315, 3769, 369, 1274, 889, 3780, 433, 627, 8796, 25, 358, 1781, 2555, 584, 4070, 6818, 311, 656, 374, 6493, 439, 1790, 439, 584, 649, 13, 1226, 1456, 311, 2646, 12571, 264, 2199, 26, 814, 3207, 682, 27498, 13, 1115, 374, 264, 73756, 2653, 3773, 13, 1102, 753, 523, 68485, 311, 279, 1437, 318, 449, 39953, 37433, 88, 9660, 627, 44612, 11, 617, 499, 1027, 2080, 1711, 87258, 355, 779, 430, 1475, 1403, 67850, 14890, 304, 279, 2653, 56958, 2733, 1093, 1202, 1866, 6710, 315, 279, 8294, 3446, 30, 3234, 499, 2980, 279, 2653, 56958, 994, 83240, 433, 5380, 8796, 25, 2360, 11, 539, 2216, 13, 358, 1781, 315, 279, 3446, 304, 3878, 315, 15952, 779, 430, 1855, 3927, 15952, 11031, 279, 8244, 3446, 264, 3230, 6138, 7119, 1057, 842, 5915, 13, 1226, 3197, 311, 2567, 3815, 279, 2653, 56958, 1475, 1403, 67850, 1606, 814, 1304, 6555, 47634, 11, 323, 358, 1781, 8096, 323, 358, 527, 7276, 311, 3515, 264, 2653, 3773, 2373, 315, 1057, 990, 430, 753, 459, 4228, 4526, 315, 433, 323, 706, 264, 2763, 315, 5217, 2262, 13, 25122, 584, 3207, 3318, 389, 356, 620, 11, 279, 18172, 15952, 11, 323, 358, 4344, 539, 7422, 922, 1057, 4948, 2653, 3773, 520, 682, 13, 358, 4344, 7422, 922, 1148, 358, 617, 311, 656, 304, 4819, 220, 1419, 11, 220, 1187, 11, 220, 914, 323, 220, 1627, 13, 2650, 656, 358, 656, 420, 3245, 358, 4934, 311, 656, 304, 26292, 220, 1313, 430, 8096, 15243, 757, 704, 315, 510, 73556, 60, 2650, 584, 5052, 433, 304, 3010, 11, 2574, 1093, 430, 13, 13266, 527, 279, 279, 10742, 627, 26597, 11, 1455, 315, 701, 892, 374, 29329, 311, 87258, 355, 627, 40, 1541, 1431, 617, 904, 892, 311, 990, 389, 4205, 775, 13, 358, 4344, 20025, 3025, 311, 636, 87258, 355, 2884, 11, 439, 1057, 9899, 706, 6982, 13, 1102, 753, 264, 2763, 315, 990, 11, 810, 1109, 904, 1023, 20303, 358, 4070, 3596, 2884, 13, 2684, 753, 779, 1790, 4092, 3769, 430, 706, 311, 387, 6319, 323, 3463, 704, 13, 2650, 1550, 499, 2231, 433, 16431, 5380, 8796, 25, 1472, 3207, 264, 3345, 6742, 627, 2735, 25, 22335, 13, 358, 617, 311, 31646, 2216, 5655, 1139, 279, 5429, 13, 763, 264, 6237, 1405, 55706, 374, 15240, 41189, 1139, 459, 13147, 3130, 11, 358, 617, 311, 2980, 1148, 459, 13147, 3130, 304, 420, 1917, 5992, 1093, 304, 8996, 1060, 584, 3207, 304, 13, 3011, 753, 539, 2555, 358, 649, 1120, 636, 264, 6945, 315, 1022, 279, 7757, 13, 2650, 1690, 4860, 617, 358, 3288, 499, 922, 2574, 1093, 1405, 279, 17244, 18381, 1288, 387, 13, 2684, 527, 779, 1690, 2697, 3649, 430, 358, 617, 311, 2610, 922, 13, 2468, 1176, 358, 574, 4737, 264, 2697, 810, 315, 264, 60390, 1291, 5603, 311, 430, 323, 358, 3169, 315, 1047, 856, 33271, 72888, 264, 2766, 369, 1701, 279, 5076, 16766, 323, 2574, 1093, 430, 13, 2684, 753, 264, 2763, 315, 3495, 323, 264, 2763, 315, 4092, 430, 5900, 304, 1603, 358, 1212, 13633, 279, 2199, 627, 3923, 3727, 279, 1403, 315, 499, 1778, 264, 3831, 2128, 323, 12716, 499, 7752, 1203, 3871, 11, 927, 323, 927, 5380, 8796, 25, 358, 1781, 832, 315, 279, 8125, 430, 584, 990, 2216, 1664, 3871, 374, 584, 1093, 1855, 1023, 323, 430, 706, 19543, 304, 264, 27607, 430, 358, 1781, 1855, 315, 603, 706, 264, 2294, 3568, 315, 10082, 304, 323, 430, 706, 36513, 264, 1633, 1317, 892, 13, 1102, 753, 264, 61300, 311, 279, 27607, 430, 584, 649, 18046, 323, 4465, 922, 2574, 389, 87258, 355, 323, 7293, 4885, 11, 323, 430, 584, 649, 2543, 311, 1855, 1023, 369, 5435, 2133, 389, 304, 1057, 6439, 13, 8096, 323, 358, 527, 1633, 2204, 1274, 11, 719, 584, 617, 1690, 1690, 7634, 315, 19801, 11, 323, 1690, 1690, 315, 1057, 12034, 527, 4528, 11, 5423, 10255, 2740, 13, 1226, 3207, 1633, 40069, 27210, 627, 2735, 25, 358, 1101, 1781, 1057, 12062, 32241, 832, 2500, 627, 2735, 25, 16431, 374, 810, 6129, 323, 5334, 1633, 25429, 922, 279, 6129, 13878, 315, 420, 3446, 11, 323, 358, 1505, 7182, 12304, 922, 1274, 449, 53157, 30102, 2212, 323, 68981, 1855, 1023, 13, 1226, 8335, 1855, 1023, 704, 430, 1648, 323, 358, 1781, 430, 422, 832, 315, 603, 1051, 311, 617, 810, 2585, 927, 279, 1620, 2027, 1109, 279, 1023, 832, 1109, 433, 8434, 1431, 387, 439, 1695, 627, 8796, 25, 1102, 1053, 7995, 13194, 510, 1820, 1620, 2027 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 51990, 34261, 5769, 220, 17, 220, 12226, 10721, 198, 42214, 220, 777, 11, 9787, 20238, 15490, 220, 17, 393, 8640, 389, 264, 19091, 6332, 220, 16, 52405, 18121, 323, 706, 1027, 29441, 449, 264, 9599, 6382, 389, 279, 14981, 3185, 13, 2684, 374, 1101, 264, 76456, 6382, 12673, 389, 279, 4156, 3185, 369, 2835, 8260, 323, 52067, 5099, 13, 4314, 33689, 33347, 1304, 420, 264, 1633, 304, 57364, 21354, 719, 1148, 3727, 433, 2216, 16003, 374, 279, 3544, 1396, 315, 10721, 902, 649, 387, 24174, 389, 433, 1555, 279, 8682, 1883, 9307, 13, 578, 7839, 578, 18907, 20238, 15490, 220, 17, 374, 264, 1664, 69956, 21354, 449, 8147, 22032, 11, 264, 27078, 4264, 11, 323, 4131, 449, 8682, 10487, 13, 578, 11717, 2468, 400, 11, 279, 21354, 374, 927, 652, 7725, 13, 5186, 220, 1419, 11, 9787, 2057, 1690, 264, 21354, 374, 459, 16924, 3756, 323, 311, 1690, 433, 374, 264, 990, 8216, 13, 578, 18907, 20238, 15490, 220, 17, 393, 21354, 4519, 264, 220, 22, 15271, 320, 10166, 8, 77857, 369, 701, 7446, 3966, 323, 8640, 8682, 348, 19, 320, 52430, 30800, 67836, 8, 10565, 1887, 311, 6288, 1825, 10721, 323, 3953, 627, 51990, 34261, 5769, 220, 17, 220, 12226, 10721, 198, 2746, 499, 527, 3411, 578, 5526, 20238, 15490, 5334, 264, 35692, 323, 56719, 369, 220, 679, 17, 5787, 2650, 29127, 8682, 34120, 320, 8682, 220, 19, 13, 15, 18907, 20238, 15490, 220, 17, 220, 22, 1, 883, 320, 6313, 661, 340, 2170, 3117, 439, 13021, 374, 11920, 279, 18907, 67050, 9077, 278, 677, 437, 384, 6358, 369, 9155, 15490, 220, 17, 578, 20238, 15490, 220, 17, 10541, 279, 6437, 13046, 311, 1501, 1057, 3813, 9922, 389, 279, 4264, 5128, 17676, 819, 11, 279, 5150, 14370, 3952, 264, 1695, 220, 605, 311, 220, 508, 6622, 311, 2865, 11, 1524, 994, 584, 1051, 8599, 311, 264, 3831, 17664, 27395, 8450, 13, 578, 6435, 8441, 3217, 9731, 439, 499, 7363, 323, 15932, 11, 449, 279, 20238, 15490, 220, 17, 1666, 1664, 439, 6149, 9293, 11, 499, 1101, 636, 5195, 596, 1949, 2543, 14656, 65051, 10873, 3241, 11, 4869, 9298, 439, 279, 20238, 15490, 220, 17, 2876, 430, 499, 4265, 1390, 311, 1005, 264, 19220, 1176, 15687, 2001, 18327, 11, 8450, 11, 74084, 34261, 5769, 220, 17, 220, 12226, 10721, 13, 1666, 279, 18907, 20238, 15490, 220, 17, 5810, 499, 649, 4232, 10721, 11, 3953, 11, 6603, 323, 9698, 311, 2567, 499, 65550, 11, 8051, 18907, 3250, 956, 1781, 420, 374, 3403, 13, 578, 16526, 14290, 706, 1101, 864, 34788, 4841, 1202, 18907, 1883, 4435, 3637, 11, 10209, 264, 810, 75826, 6727, 315, 8522, 11, 323, 1418, 433, 1253, 4148, 1063, 315, 279, 294, 2177, 499, 636, 304, 5195, 7199, 11, 433, 5084, 264, 2697, 74084, 34261, 5769, 220, 17, 220, 12226, 10721, 323, 584, 1766, 13520, 14836, 1203, 311, 279, 5708, 10209, 5128, 6288, 627, 16411, 398, 505, 701, 20238, 10573, 3756, 477, 279, 10573, 5769, 304, 20238, 9307, 11, 499, 649, 2543, 701, 20238, 10573, 1139, 264, 11401, 1537, 11, 264, 43828, 7364, 30742, 263, 477, 1524, 264, 16211, 3756, 13, 353, 16528, 10721, 1253, 13592, 555, 3756, 11, 10293, 477, 5654, 2971, 5083, 11, 323, 7318, 10721, 527, 2561, 1306, 7782, 13, 17907, 220, 777, 11, 9787, 20238, 15490, 220, 17, 393, 8640, 389, 264, 19091, 6332, 220, 16, 52405, 18121, 323, 706, 1027, 29441, 449, 264, 9599, 6382, 389, 279, 14981, 3185, 13, 2684, 374, 1101, 264, 76456, 6382, 12673, 389, 279, 4156, 3185, 369, 2835, 8260, 323, 52067, 5099, 13, 4314, 33689, 33347, 1304, 420, 264, 1633, 304, 57364, 21354, 719, 1148, 3727, 433, 2216, 16003, 374, 279, 3544, 1396, 315, 10721, 902, 649, 387, 24174, 389, 433, 1555, 279, 8682, 1883, 9307, 13, 2175, 2680, 311, 11190, 10105, 11, 1268, 4791, 28292, 11, 7980, 6, 56294, 11, 323, 2027, 29803, 369, 701, 20238, 15490, 362, 320, 59128, 27395, 8, 505, 18907, 2326, 9365, 13, 578, 7839, 578, 18907, 20238, 15490, 220, 17, 374, 264, 1664, 69956, 21354, 449, 8147, 22032, 11, 264, 27078, 4264, 11, 323, 4131, 449, 8682, 10487, 13, 578, 11717, 2468, 400, 11, 279, 21354, 374, 927, 652, 7725, 13, 5348, 55882, 15948, 67828, 67365, 3161, 18907, 20238, 15490, 220, 18, 12177, 9483, 220, 17, 220, 22, 1174, 15064, 328, 23, 4642, 11, 328, 22, 12250, 33, 11833, 18654, 11602, 90898, 34585, 37987, 30982, 1789, 5195, 41122, 220, 22, 220, 605, 58403, 220, 23, 5494, 220, 845, 5494, 220, 843, 5494, 41122, 328, 14642, 18907, 20238, 15490, 220, 18, 7181, 20238, 328, 20, 11, 328, 19, 11, 328, 18, 11, 328, 17, 14642, 1561, 35412, 6785, 66016, 11, 473, 13009, 76273, 469, 7244, 57301, 26367, 3053, 358, 1005, 279, 36867, 1883, 13, 10263, 220, 2148, 11, 9787, 2684, 527, 9214, 315, 1949, 10721, 430, 499, 649, 4232, 323, 1005, 389, 701, 18907, 20238, 15490, 220, 17, 11, 719, 433, 1253, 387, 2653, 311, 1440, 1148, 10721, 527, 1888, 13, 16645, 2030, 363, 5334, 499, 3940, 555, 25394, 5899, 1949, 10721, 430, 5376, 7296, 11, 26206, 11, 323, 28697, 13, 5666, 18907, 20238, 15490, 220, 17, 320, 543, 4211, 8, 311, 8682, 20238, 9307, 374, 459, 10721, 3637, 1903, 369, 18907, 7766, 13, 34039, 18907, 10721, 11, 14079, 16211, 10721, 11, 323, 4443, 2065, 7526, 1120, 369, 20238, 3932, 13, 13806, 220, 605, 11, 9787, 578, 220, 605, 7252, 18907, 20238, 15490, 34120, 13, 18907, 596, 20238, 15490, 323, 20238, 7181, 5238, 11, 3871, 11, 527, 279, 1455, 6992, 28612, 315, 8682, 29679, 13, 7557, 279, 1888, 1005, 315, 1124, 449, 1521, 14079, 27803, 36414, 59964, 2337, 25, 62189, 6583, 328, 16133, 13, 477, 18907, 8682, 58403, 320, 53619, 14092, 15490, 328, 19, 11, 20238, 15490, 362, 1174, 20238, 15490, 328, 18, 11, 15490, 328, 17, 11, 15490, 362, 17, 11, 15490, 10106, 220, 17, 8, 482, 18907, 75037, 25, 8682, 40163, 75480, 10293, 1754, 323, 5190, 353, 1102, 1253, 539, 387, 7396, 555, 1063, 4211, 11, 11911, 389, 279, 22234, 29803, 13, 482, 18907, 16147, 10573, 25, 350, 24604, 10293, 477, 1561, 261, 320, 51990, 20238, 10573, 11, 18907, 20238, 662, 12044, 220, 508, 11, 9787, 578, 20238, 15490, 220, 17, 4131, 52550, 449, 5195, 753, 5652, 8682, 1977, 11, 2373, 1174, 779, 499, 7214, 636, 279, 7720, 315, 279, 5652, 8682, 4519, 1093, 62046, 11, 13674, 11, 5195, 28508, 1880, 453, 13, 18907, 706, 18751, 3953, 323, 6603, 1139, 279, 21354, 1701, 10721, 2663, 279, 18907, 611, 20, 1020, 3011, 1071, 11, 499, 690, 1205, 311, 617, 264, 18907, 1217, 2759, 304, 2015, 311, 1005, 420, 917, 13, 578, 20238, 34120, 3834, 374, 4528, 311, 5195, 7199, 596, 3834, 25, 279, 2778, 3703, 374, 7559, 520, 279, 1948, 315, 279, 4264, 449, 2204, 23204, 1314, 3770, 433, 13, 3161, 1521, 23204, 11, 499, 649, 6288, 4141, 10721, 11, 2835, 3953, 11, 14079, 6209, 11, 323, 78348, 10721, 13, 3799, 220, 806, 11, 9787, 34120, 13, 1666, 279, 18907, 20238, 15490, 220, 17, 374, 459, 8682, 3756, 499, 636, 2680, 311, 279, 1664, 71116, 5195, 7199, 3637, 11, 902, 374, 1457, 7231, 279, 8325, 1883, 9307, 264, 1972, 1629, 369, 1202, 3300, 13, 4740, 499, 25539, 459, 917, 11, 279, 1828, 3094, 374, 33577, 11, 555, 32139, 433, 505, 279, 5195, 7199, 9307, 311, 701, 18907, 20238, 21354, 13, 578, 917, 374, 10487, 9651, 11, 4857, 709, 701, 4526, 315, 10721, 323, 24050, 1148, 279, 21354, 649, 656, 13, 7839, 3754, 25, 7648, 10721, 527, 2561, 369, 1949, 13, 24327, 3754, 25, 7570, 279, 10721, 662, 12044, 220, 2705, 11, 9787, 220, 22, 18149, 389, 2650, 311, 4148, 20217, 34120, 505, 18907, 20238, 15490, 220, 17, 1754, 3861, 315, 279, 1401, 4519, 315, 18907, 753, 19898, 54, 450, 3241, 369, 8682, 323, 3010, 374, 279, 28286, 315, 20217, 34120, 32253, 33577, 323, 27730, 10721, 389, 701, 20238, 15490, 11, 701, 5195, 2759, 2011, 387, 22756, 13, 763, 420, 8641, 279, 5690, 1883, 374, 1511, 439, 459, 3187, 662, 1442, 499, 1390, 311, 8454, 264, 539, 70641, 449, 701, 20238, 15490, 220, 17, 311, 1520, 499, 2567, 701, 4553, 8577, 11, 2980, 1701, 279, 31245, 587, 917, 6982, 304, 19575, 220, 18, 13, 1102, 596, 1633, 4228, 311, 10477, 8522, 389, 701, 18907, 20238, 15490, 220, 18, 11, 3060, 311, 2567, 701, 2162, 15670, 477, 8522, 1160, 4335, 477, 311, 1304, 2771, 430, 3885, 889, 13, 8745, 323, 4685, 459, 917, 482, 18907, 20238, 15490, 220, 18, 13, 5659, 279, 2162, 4264, 11, 15596, 7199, 9307, 13, 7181, 25, 1442, 29746, 11, 1373, 279, 5195, 7199, 20163, 315, 5475, 11, 1243, 15596, 662, 5560, 1521, 7504, 311, 10477, 477, 1501, 10721, 389, 279, 18907, 20238, 15490, 220, 18, 13, 1952, 420, 2199, 25, 26672, 7073, 26672, 35342, 10721, 690, 539, 1501, 304, 279, 34120, 5130, 477, 13, 5560, 1521, 7504, 311, 1005, 83738, 61470, 54735, 323, 2867, 6636, 369, 10721, 389, 279, 18907, 20238, 15490, 220, 18, 13, 1952, 420, 2199, 25, 12292, 917, 6636, 323, 828, 5666, 10721, 13, 20238, 15490, 328, 17, 482, 1252, 12527, 477, 29127, 34120, 320, 9691, 9469, 612, 14031, 9469, 8, 220, 18, 13, 763, 279, 28594, 1623, 56133, 5769, 11, 5916, 279, 3851, 499, 1390, 311, 54735, 13, 220, 19, 13, 8745, 279, 10721, 6319, 369, 701, 20238, 323, 20238, 10573, 7766, 520, 279, 7286, 398, 505, 701, 20238, 10573, 3756, 477, 279, 10573, 5769, 304, 20238, 9307, 11, 499, 13, 18907, 20238, 15490, 220, 18, 1862, 13, 8745, 287, 459, 917, 13, 1472, 649, 1005, 5195, 7199, 311, 4232, 10721, 11, 3953, 11, 6603, 323, 9698, 311, 701, 21354, 13, 1472, 3358, 1205, 264, 13, 3861, 315, 279, 3682, 4819, 430, 2567, 39137, 7623, 1475, 8682, 21354, 374, 279, 6996, 315, 7706, 4147, 10721, 11, 323, 279, 3446, 374, 1890, 449, 20238, 15490, 220, 17, 482, 5560, 74084, 34261, 5769, 220, 17, 220, 12226, 10721, 323, 4774, 18907, 20238, 15490, 220, 17, 3477, 765, 452, 75918, 72042, 19209, 198, 791, 6051, 11887, 20238, 15490, 220, 17, 374, 2883, 596, 1176, 20534, 30800, 67836, 21354, 311, 5662, 6890, 323, 433, 374, 1101, 264, 3756, 430, 15785, 264, 2466, 6541, 304, 2883, 596, 2218, 3157, 13, 12361, 315, 2133, 1306, 279, 23067, 23455, 11, 18907, 706, 41193, 430, 433, 374, 2731, 311, 2218, 23455, 430, 1541, 956, 617, 279, 8199, 311, 3469, 369, 23067, 323, 649, 30485, 264, 2766, 389, 4519, 13, 578, 20238, 15490, 220, 17, 4131, 520, 4661, 4376, 279, 3430, 520, 902, 4113, 20238, 15490, 574, 11887, 304, 6890, 323, 706, 4528, 4519, 11, 719, 706, 279, 14278, 304, 3430, 40028, 279, 8244, 5178, 315, 279, 3756, 30, 1226, 1505, 704, 304, 420, 3477, 13, 37865, 35802, 505, 279, 4113, 220, 22, 25224, 20238, 15490, 11, 682, 279, 18907, 29679, 1427, 20086, 11, 449, 1120, 264, 2478, 37637, 12062, 11, 719, 430, 304, 5196, 374, 539, 16168, 264, 3958, 3245, 13, 578, 502, 20238, 220, 17, 5992, 6555, 323, 18809, 32620, 304, 1450, 13, 578, 21354, 1203, 374, 1903, 315, 65257, 12466, 323, 374, 31785, 311, 77777, 20426, 279, 4156, 11, 902, 1120, 16180, 1124, 13, 578, 21354, 4131, 449, 8162, 5608, 3786, 323, 5912, 23739, 3786, 9633, 389, 279, 2163, 11, 1418, 8286, 96226, 323, 2410, 3215, 527, 3118, 389, 279, 1314, 13, 578, 40134, 389, 279, 23739, 9633, 374, 11, 70706, 11, 539, 64005, 315, 279, 1648, 279, 23739, 374, 10171, 311, 387, 22306, 482, 584, 39928, 5115, 264, 2766, 315, 892, 449, 430, 0, 2684, 374, 912, 18654, 12, 27123, 2700, 389, 279, 3756, 323, 2883, 706, 5343, 264, 34333, 828, 12454, 23468, 2700, 389, 279, 5740, 430, 374, 11096, 555, 279, 39052, 22032, 323, 6156, 19748, 13, 578, 1948, 15316, 279, 220, 18, 627, 10031, 810, 81404, 392, 274, 3953, 274, 578, 917, 690, 9651, 2778, 369, 1023, 7766, 304, 279, 53851, 902, 527, 3025, 311, 1935, 961, 304, 279, 17265, 7640, 2001, 2737, 18084, 11, 48985, 11, 19002, 11, 7941, 60866, 11, 3953, 51193, 323, 1023, 29679, 13, 3165, 31458, 20924, 389, 279, 1023, 1450, 11, 439, 374, 279, 1162, 449, 904, 1023, 5916, 3834, 3756, 11, 374, 264, 2766, 14192, 88, 311, 1005, 13, 4800, 11, 1977, 701, 1866, 71446, 902, 75762, 279, 2262, 499, 3021, 5403, 279, 1455, 13, 1102, 706, 264, 2487, 23164, 369, 8260, 10096, 323, 264, 4156, 76456, 6382, 3485, 323, 279, 18907, 12708, 3770, 279, 4264, 13, 578, 220, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 3936, 25, 24561, 323, 27740, 15323, 7713, 198, 7279, 25, 35198, 88, 650, 320, 76, 599, 950, 15561, 340, 6888, 25, 7554, 6237, 505, 24561, 323, 27740, 11, 91419, 11, 13194, 14, 19975, 11, 21626, 12, 5383, 198, 52125, 25, 2876, 10705, 11, 53661, 11, 53661, 11, 1541, 956, 34872, 757, 11, 53661, 11, 53661, 9522, 7279, 596, 18559, 25, 7777, 1664, 11, 358, 1047, 264, 353, 16548, 9, 3575, 449, 24561, 323, 27740, 1131, 1962, 279, 3325, 315, 902, 374, 1268, 5246, 433, 3782, 1306, 55706, 304, 264, 6187, 13, 2100, 11, 420, 374, 856, 4879, 311, 10552, 13, 38994, 433, 6575, 13, 37957, 374, 2294, 13, 18231, 499, 4774, 0, 90163, 51213, 323, 27740, 15323, 7713, 198, 791, 5333, 6656, 323, 7111, 1139, 279, 3177, 6437, 6548, 315, 279, 893, 1828, 311, 1077, 627, 7189, 5647, 584, 7020, 1855, 1023, 1664, 1603, 856, 5044, 574, 5675, 13, 14910, 584, 7673, 578, 1427, 315, 3987, 5737, 4028, 279, 5333, 596, 4519, 574, 96207, 481, 627, 63, 8586, 433, 4131, 6, 54765, 3463, 11, 88807, 1077, 6548, 9495, 323, 9699, 287, 11937, 369, 813, 10052, 13, 16782, 11, 1077, 4851, 65330, 13, 3005, 6612, 264, 28062, 315, 2555, 53007, 311, 80822, 7102, 1555, 1077, 627, 18820, 295, 1047, 3970, 279, 3717, 15541, 1990, 15469, 323, 6706, 6, 969, 13, 3005, 4265, 3970, 279, 5992, 568, 4265, 2728, 1077, 13, 3005, 4265, 3970, 1461, 4465, 279, 2800, 315, 813, 2128, 304, 1077, 9232, 11, 30674, 430, 6706, 6, 969, 323, 7228, 64, 1051, 2204, 1274, 13, 1628, 1457, 430, 7228, 64, 596, 19459, 1051, 8208, 11, 3249, 13434, 956, 15469, 3136, 813, 5133, 449, 6706, 6, 969, 30, 8595, 353, 41450, 77, 956, 9, 568, 5380, 18820, 295, 596, 6548, 32122, 1825, 11, 1077, 61225, 74035, 304, 22047, 13, 2360, 30, 24805, 1364, 6755, 1461, 1314, 11, 477, 574, 430, 1120, 6562, 1285, 7422, 5380, 39522, 11, 584, 2646, 2216, 1550, 1210, 1283, 8738, 627, 8100, 353, 32345, 9, 6755, 1314, 13, 1666, 264, 25406, 6706, 6, 969, 6656, 3201, 505, 15469, 323, 15203, 709, 279, 23091, 11, 54765, 1095, 704, 264, 11745, 1364, 19117, 956, 15393, 1364, 4265, 1027, 10168, 627, 4054, 1427, 520, 15469, 11, 323, 54765, 596, 16337, 14091, 63332, 13, 1283, 574, 11509, 449, 813, 11977, 28129, 6144, 3210, 4028, 813, 15489, 11, 813, 7645, 574, 61391, 481, 11, 323, 813, 6437, 6548, 1051, 8521, 32620, 389, 279, 6558, 13, 54765, 53914, 439, 279, 80822, 1364, 6612, 50459, 1139, 21648, 627, 63, 13191, 358, 353, 1395, 9, 904, 810, 45743, 20837, 3005, 3463, 311, 11937, 13, 15469, 1047, 912, 5129, 17454, 927, 70042, 279, 4648, 315, 813, 28530, 7555, 11, 29070, 2351, 482, 1193, 311, 1505, 430, 279, 5333, 814, 4265, 3967, 439, 6706, 6, 969, 574, 11, 304, 2144, 11, 7228, 64, 11, 279, 23047, 261, 315, 52947, 323, 264, 38063, 26966, 893, 18029, 627, 3112, 1603, 1077, 1070, 574, 1443, 61822, 9522, 3112, 1603, 1077, 1070, 574, 91668, 269, 9522, 18820, 295, 53914, 1578, 13, 15469, 2216, 7020, 1268, 311, 3820, 1595, 336, 627, 41686, 6612, 459, 10535, 5647, 315, 16337, 11623, 927, 1461, 439, 279, 800, 867, 349, 48110, 1022, 13, 16782, 11, 568, 1436, 1101, 2733, 264, 11537, 37628, 3252, 6784, 1664, 287, 709, 4871, 813, 4851, 13, 3161, 264, 10015, 34522, 520, 54765, 11, 15469, 28016, 813, 6206, 304, 813, 30278, 323, 15203, 7119, 279, 6134, 13, 38994, 1063, 892, 7636, 1053, 8854, 311, 1520, 3460, 704, 813, 16024, 627, 644, 264, 294, 10033, 11, 15469, 1766, 813, 1648, 311, 813, 32573, 323, 29368, 8800, 813, 4950, 13, 58801, 813, 19459, 505, 279, 3347, 5743, 315, 5672, 6137, 5737, 304, 813, 4059, 1093, 264, 5818, 482, 832, 568, 7846, 956, 2543, 1022, 627, 35897, 9131, 311, 96100, 355, 1047, 3940, 704, 1093, 904, 1023, 13, 2030, 4382, 27501, 1047, 4529, 264, 1203, 10954, 994, 814, 1766, 704, 922, 279, 3148, 1097, 98575, 279, 75772, 315, 279, 11841, 1051, 25051, 13, 1628, 5246, 1306, 6975, 315, 279, 12544, 389, 96100, 355, 11, 814, 4265, 2322, 6706, 6, 969, 627, 6746, 6, 969, 11, 1364, 574, 264, 8369, 11, 3831, 11, 6366, 11, 323, 20333, 7808, 13, 1628, 11, 4184, 311, 1077, 1274, 11, 1364, 574, 7154, 3254, 37240, 398, 8647, 369, 10695, 1124, 636, 1555, 279, 24716, 22743, 430, 1047, 10222, 1306, 872, 5044, 4814, 627, 6153, 10374, 1063, 892, 449, 6706, 6, 969, 11, 1701, 1077, 6677, 323, 6875, 304, 16388, 315, 9455, 264, 27208, 11, 15469, 1047, 1766, 5678, 70706, 29123, 311, 1077, 13, 1283, 27569, 7422, 430, 433, 574, 912, 2466, 3568, 13, 2468, 27523, 323, 30903, 1990, 1274, 574, 1193, 5933, 13, 2360, 2466, 3568, 1131, 578, 2800, 315, 813, 19459, 3782, 1203, 311, 1461, 304, 264, 8381, 482, 5108, 1203, 311, 9578, 11, 52146, 6706, 6, 969, 11, 9455, 704, 279, 8206, 922, 1077, 9764, 11, 10695, 1077, 323, 1077, 1274, 11, 323, 1457, 3782, 1131, 1820, 31352, 4498, 627, 41686, 596, 10723, 5818, 79722, 801, 311, 279, 21735, 323, 1243, 35595, 13, 1283, 53914, 439, 279, 13194, 304, 813, 4851, 12724, 839, 709, 1578, 13, 9930, 4359, 264, 21735, 574, 682, 430, 7077, 11, 719, 430, 21735, 7636, 1047, 2884, 810, 5674, 1109, 568, 7020, 1268, 311, 3568, 449, 627, 1548, 1436, 2103, 6227, 279, 2733, 315, 1077, 11977, 2212, 1461, 11, 323, 279, 12945, 315, 1077, 23726, 13, 578, 21735, 574, 8579, 323, 8369, 11, 323, 1603, 568, 7020, 433, 11, 568, 574, 34932, 813, 6548, 1825, 1120, 779, 568, 1436, 1427, 1139, 1884, 5655, 14198, 6548, 9522, 4071, 1077, 6548, 1051, 264, 34734, 6437, 627, 13058, 2065, 323, 34951, 4295, 1461, 1093, 264, 21004, 304, 279, 23152, 13, 578, 5333, 568, 574, 52146, 574, 539, 279, 5333, 568, 10456, 13, 3005, 5828, 956, 279, 832, 813, 4851, 574, 79422, 369, 13, 3005, 5828, 956, 813, 7555, 11, 1364, 574, 264, 35058, 311, 1461, 627, 3112, 568, 4265, 1120, 65397, 279, 1193, 5333, 568, 4265, 3596, 10456, 627, 791, 14770, 34951, 2103, 95579, 2403, 813, 4059, 323, 4851, 13, 4673, 3036, 1606, 29070, 2351, 574, 8208, 16058, 13, 4673, 3036, 1606, 568, 4265, 5535, 6706, 6, 969, 311, 636, 2288, 3345, 13, 4673, 3036, 1606, 568, 4265, 2586, 311, 813, 38207, 1120, 264, 2697, 2288, 3389, 627, 41686, 596, 11555, 8738, 389, 872, 45578, 42197, 13, 362, 42632, 13, 53296, 956, 430, 1148, 433, 596, 2663, 994, 499, 1005, 264, 1732, 311, 10894, 4423, 775, 30, 5414, 9358, 7899, 87625, 10418, 660, 1461, 13, 2650, 1436, 568, 617, 711, 4535, 29070, 2351, 596, 5044, 1093, 430, 30, 1628, 449, 279, 23047, 261, 315, 52947, 315, 682, 1274, 5380, 5176, 14390, 287, 813, 43425, 311, 813, 15489, 11, 568, 65262, 813, 6548, 9495, 323, 37287, 568, 1436, 1304, 813, 4059, 3009, 22019, 13, 7570, 810, 11, 568, 37287, 568, 1436, 1304, 279, 7982, 78831, 304, 813, 4851, 1207, 3002, 13, 2030, 568, 7846, 956, 627, 7189, 2846, 14931, 11, 29070, 2351, 10246, 18820, 295, 30831, 1077, 1450, 311, 279, 6134, 11, 719, 35595, 1603, 436, 3713, 1077, 1168, 84796, 2403, 433, 13, 15469, 2643, 1633, 1664, 1390, 311, 387, 2163, 7636, 13, 16782, 11, 279, 1427, 389, 15469, 596, 3663, 439, 568, 2163, 279, 30343, 10637, 3309, 1077, 568, 2643, 1205, 264, 4333, 627, 50, 447, 3329, 1077, 28004, 11, 54765, 3952, 264, 5655, 11745, 11, 323, 33085, 389, 279, 6134, 627, 6153, 264, 5743, 6622, 11, 1364, 5616, 6755, 813, 43787, 10052, 13, 330, 29951, 304, 10246, 8100, 6656, 279, 656, 672, 56123, 323, 15753, 279, 6134, 63018, 627, 1, 19182, 1210, 3005, 44865, 1461, 57150, 627, 4054, 1427, 520, 1461, 323, 1077, 4747, 14264, 5899, 20557, 13, 1283, 574, 824, 2454, 389, 279, 3185, 315, 813, 4950, 11, 4560, 311, 35840, 430, 568, 5828, 956, 50739, 13, 2030, 11, 813, 15447, 1051, 14322, 50185, 11, 323, 813, 29247, 1051, 10284, 14425, 11059, 11, 323, 813, 6548, 7111, 1384, 3725, 281, 30977, 323, 2579, 627, 72059, 527, 499, 8430, 7673, 54765, 4691, 13, 1102, 5828, 956, 7041, 279, 1455, 20333, 10054, 65221, 11, 719, 1364, 574, 16026, 433, 1053, 387, 3403, 311, 1825, 1461, 709, 627, 11649, 11, 779, 1790, 369, 430, 627, 1, 11787, 499, 7673, 3005, 6818, 1578, 627, 58841, 0, 1442, 499, 2351, 18290, 922, 279, 6372, 315, 279, 423, 867, 337, 11, 433, 596, 539, 687, 425, 788, 10246, 18820, 295, 53914, 13, 330, 40, 1440, 13, 2030, 11, 358, 5828, 956, 10371, 439, 701, 10896, 11, 15469, 13, 358, 574, 10371, 439, 701, 4333, 10246, 55005, 21908, 15469, 9508, 311, 387, 520, 264, 4814, 369, 4339, 627, 18820, 295, 53914, 63018, 398, 13, 10926, 420, 1047, 1027, 264, 3958, 4623, 13, 3005, 28129, 279, 3130, 323, 16006, 8046, 7731, 389, 279, 6964, 315, 813, 4950, 13, 330, 39814, 11, 15469, 13, 358, 1440, 420, 706, 1027, 2653, 389, 499, 13, 2030, 422, 499, 1205, 311, 3137, 11, 358, 2846, 2744, 1618, 369, 499, 11, 17339, 48469, 41686, 6688, 1077, 264, 4376, 70395, 15648, 13, 330, 12947, 11, 54765, 10246, 18820, 295, 14980, 709, 323, 6656, 311, 733, 11, 719, 264, 37628, 3252, 3488, 304, 279, 1203, 315, 1077, 4059, 1903, 1077, 18579, 520, 813, 6134, 13, 6385, 4851, 574, 70627, 11, 719, 1364, 4460, 311, 1440, 279, 4320, 627, 18820, 295, 23803, 1077, 28691, 13, 39813, 35734, 1550, 499, 2019, 1595, 2201, 6, 994, 6706, 6, 969, 4691, 422, 499, 7020, 1855, 1023, 1664, 48469, 3947, 13, 3005, 4265, 1071, 433, 627, 41686, 596, 36496, 30073, 505, 279, 6558, 709, 311, 54765, 596, 6548, 11, 323, 1203, 1523, 1578, 13, 1789, 264, 4545, 568, 574, 21737, 323, 54765, 6137, 311, 5895, 422, 568, 574, 2133, 311, 4320, 627, 1, 18433, 584, 3287, 956, 1210, 1283, 19089, 5042, 627, 18820, 295, 596, 61225, 65330, 304, 22047, 13, 3639, 574, 430, 10171, 311, 3152, 5380, 41686, 53914, 13, 330, 83224, 439, 1268, 6706, 6, 969, 6656, 704, 311, 387, 1131, 9336, 11, 499, 1440, 1131, 358, 14224, 3287, 956, 1440, 1077, 1633, 1664, 520, 682, 13, 2468, 3325, 11, 539, 1093, 358, 1440, 8388, 11, 477, 499, 11, 477, 31538, 1, 63416, 2351, 1210, 54765, 17665, 30666, 627, 41686, 8036, 813, 6548, 323, 36065, 50494, 627, 7189, 649, 956, 4510, 430, 358, 21908, 568, 97171, 1022, 304, 264, 35955, 627, 18820, 295, 596, 4851, 14760, 369, 1461, 439, 1364, 5602, 279, 6784, 323, 34951, 42852, 304, 813, 6548, 13, 14727, 14630, 3210, 11, 1364, 28129, 279, 3130, 323, 20037, 1461, 264, 30884, 627, 22336, 2643, 2733, 2731, 422, 499, 3137, 922, 433, 1210, 54765, 12090, 11, 23062, 704, 315, 279, 30884, 311, 1427, 1461, 304, 279, 8071, 627, 41686, 2751, 709, 505, 279, 4950, 323, 6137, 83240, 2212, 279, 3130, 74884, 13610, 11, 330, 40, 59334, 1077, 11, 54765, 10246, 8100, 4265, 25720, 439, 1790, 11, 719, 2103, 11, 54765, 596, 4851, 93124, 2403, 1077, 15489, 520, 813, 58473, 13, 2360, 5895, 15469, 574, 779, 23268, 449, 5678, 13, 29070, 2351, 2643, 3077, 1027, 8208, 369, 2380, 1667, 11, 719, 1077, 32079, 574, 5762, 1193, 1566, 2305, 627, 1, 63416, 2351, 574, 856, 7555, 13, 358, 65397, 1077, 11, 54765, 0, 358, 10456, 1077, 0, 2650, 1436, 358, 656, 430, 311, 1077, 30, 358, 1436, 358, 10894, 1077, 779, 6847, 30, 1628, 449, 7228, 64, 315, 682, 1274, 25765, 1, 41686, 1359, 54765, 1071, 57150, 11, 16026, 311, 19858, 1461, 1523, 13, 330, 2675, 3358, 2744, 3021, 29070, 2351, 13, 3005, 596, 264, 961, 315, 499, 1210, 54765, 35595, 439, 1364, 15746, 15469, 3009, 83240, 11, 323, 46943, 520, 279, 6558, 13, 330, 3112, 7344, 6706, 6, 969, 5828, 956, 279, 353, 16241, 9, 5873, 11, 719, 430, 596, 539, 701, 14867, 13, 2360, 832, 7020, 279, 8206, 922, 6706, 6, 969, 482, 2737, 11937, 13, 21663, 1648, 11, 499, 649, 956, 3974, 304, 279, 3347, 10246, 7189, 1440, 1210, 15469, 1071, 11, 9204, 813, 9358, 24408, 555, 1207, 444, 71888, 9160, 28075, 279, 14497, 315, 813, 19689, 627, 22336, 1427, 1093, 499, 1436, 1005, 1063, 2800, 1210, 54765, 13468, 627, 18820, 295, 2751, 709, 323, 7882, 7119, 279, 6134, 13, 330, 2746, 2574, 1047, 7077, 279, 1023, 1648, 2212, 11, 1053, 499, 617, 4934, 29070, 2351, 311, 8493, 279, 2800, 315, 1077, 2324, 7636, 48469, 41686, 53914, 1359, 1131, 9336, 11, 912, 10246, 18820, 295, 9107, 279, 6134, 11 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 4599, 499, 527, 53327, 264, 220, 20, 11, 220, 605, 11, 220, 868, 11, 220, 508, 11, 220, 966, 477, 220, 1272, 20085, 28550, 11, 499, 1390, 264, 2883, 499, 649, 7095, 449, 7729, 430, 1304, 499, 15648, 13, 21335, 603, 264, 1650, 3432, 323, 1518, 279, 6811, 584, 649, 1304, 304, 701, 1828, 8246, 477, 4335, 704, 2447, 627, 61346, 3041, 603, 264, 1650, 323, 584, 690, 1520, 499, 7216, 704, 701, 28550, 19160, 3966, 627, 8140, 99576, 6118, 733, 704, 1890, 11477, 477, 1828, 11477, 11911, 389, 994, 499, 1650, 627, 1687, 3493, 1948, 78611, 2532, 11, 1418, 2133, 4228, 389, 701, 5740, 1584, 13, 3639, 810, 1436, 499, 2610, 369, 5380, 8140, 16572, 20197, 527, 1618, 311, 3041, 499, 264, 5043, 323, 47947, 12862, 3217, 505, 1212, 311, 6381, 627, 12805, 499, 527, 2884, 11, 5042, 3041, 603, 264, 1650, 323, 584, 690, 636, 701, 28550, 13061, 709, 1314, 3201, 4999, 8140, 5687, 374, 1618, 311, 1520, 15716, 499, 1205, 433, 13, 29524, 3820, 709, 279, 4641, 323, 3041, 603, 264, 1650, 627, 13622, 9919, 477, 59589, 656, 539, 617, 1690, 14640, 9002, 28550, 19160, 439, 1317, 439, 499, 2567, 279, 28550, 11622, 389, 701, 1866, 3424, 2391, 279, 19160, 4261, 13, 1442, 499, 1205, 311, 2035, 701, 5593, 389, 279, 8761, 304, 904, 1648, 11, 499, 690, 4461, 617, 311, 6994, 264, 11810, 505, 279, 8475, 4857, 11810, 5274, 304, 701, 6424, 13, 1472, 649, 1817, 449, 701, 2254, 586, 4375, 9476, 311, 387, 2771, 627, 13622, 21069, 869, 28550, 19160, 5220, 690, 1935, 2512, 315, 41577, 420, 11810, 369, 499, 422, 499, 8175, 505, 1124, 13, 7557, 2771, 430, 422, 499, 3207, 9293, 311, 2231, 279, 28550, 389, 279, 8761, 11, 279, 2883, 706, 1903, 279, 8475, 28904, 13, 1472, 1288, 1101, 6106, 430, 499, 636, 279, 11810, 304, 264, 32100, 11827, 323, 520, 279, 4495, 2853, 13, 1442, 499, 3463, 279, 28550, 2883, 574, 3794, 264, 11810, 323, 814, 1550, 539, 11, 499, 690, 387, 279, 832, 889, 690, 617, 311, 2343, 279, 7060, 430, 374, 11136, 555, 279, 11527, 627, 7009, 617, 499, 279, 1888, 1749, 311, 28490, 20451, 11742, 304, 5369, 311, 12571, 7384, 3345, 311, 279, 8246, 6732, 13, 4314, 5220, 37938, 1520, 499, 304, 40599, 29948, 4038, 11, 11660, 33155, 323, 1023, 2536, 60272, 6310, 481, 2571, 3201, 505, 279, 14048, 3158, 323, 1202, 4040, 12818, 13, 1115, 1648, 11, 499, 649, 6847, 10519, 4676, 1633, 29585, 323, 4335, 627, 2675, 3358, 387, 3025, 311, 5268, 832, 28550, 369, 682, 701, 19160, 3966, 13, 578, 2294, 3245, 922, 420, 374, 499, 656, 539, 617, 311, 9678, 279, 3673, 11, 3508, 433, 596, 9168, 11, 9699, 11, 7732, 11, 323, 304, 1690, 5157, 9235, 16836, 13, 1952, 279, 1023, 1450, 11, 387, 8010, 315, 701, 1866, 69187, 82, 14640, 2533, 1070, 527, 1063, 430, 690, 9067, 1120, 1268, 1790, 323, 4595, 9002, 23701, 430, 1436, 387, 49373, 13, 2684, 527, 1101, 1063, 430, 1390, 9145, 3252, 9002, 490, 14380, 323, 13399, 1113, 279, 92465, 4893, 13, 53466, 11, 433, 374, 8831, 311, 1005, 4500, 11443, 315, 264, 44364, 304, 21069, 869, 11, 36095, 2533, 499, 1205, 539, 9145, 701, 1866, 490, 14380, 477, 1524, 9678, 279, 92465, 4893, 627, 2675, 1436, 1866, 32729, 304, 24899, 11, 13286, 11, 477, 1524, 6652, 11162, 323, 499, 3358, 1390, 311, 7142, 66583, 25402, 99576, 311, 8175, 13, 2360, 5030, 1405, 304, 279, 1917, 499, 48383, 264, 28550, 690, 7945, 499, 311, 2567, 701, 3465, 7366, 627, 8607, 315, 603, 527, 53184, 311, 3794, 1057, 5410, 23701, 704, 369, 1855, 2046, 30686, 11, 8830, 430, 6118, 4375, 1120, 7060, 13, 4452, 11, 1457, 323, 1578, 11, 499, 1205, 311, 636, 8208, 3738, 11822, 477, 20155, 315, 26964, 430, 527, 539, 1314, 369, 279, 5912, 23701, 13, 763, 1521, 4787, 11, 832, 315, 279, 1455, 31439, 2671, 374, 2744, 311, 8175, 264, 28550, 779, 430, 499, 649, 2571, 704, 1148, 499, 1205, 311, 11, 994, 499, 1205, 311, 13, 13440, 499, 1205, 9463, 315, 35098, 4669, 264, 29948, 99546, 1646, 4335, 704, 11, 6062, 499, 1205, 264, 15062, 3072, 369, 13490, 3544, 477, 1524, 15375, 823, 88, 11822, 11, 99576, 3493, 58219, 11, 25152, 11, 304, 5369, 311, 31638, 369, 682, 701, 23701, 6944, 627, 791, 1176, 3245, 499, 1288, 656, 374, 8417, 1148, 1376, 499, 690, 1205, 13, 3011, 14918, 17610, 315, 26679, 279, 1404, 323, 1742, 439, 499, 617, 6305, 430, 527, 439, 2678, 439, 220, 20, 1203, 14006, 682, 279, 1648, 704, 311, 3544, 220, 1272, 20085, 6305, 13, 8442, 499, 1440, 279, 3392, 12571, 499, 2643, 617, 323, 1148, 19179, 499, 690, 1205, 13, 1102, 9615, 374, 315, 3388, 3117, 2731, 311, 927, 41230, 1109, 1935, 2288, 34504, 627, 47916, 7626, 499, 10491, 311, 733, 3871, 449, 11, 1304, 2771, 1070, 596, 1063, 955, 315, 44701, 389, 872, 2068, 13, 1115, 1436, 387, 279, 3300, 1203, 15803, 994, 814, 1541, 956, 3085, 477, 3820, 709, 389, 892, 477, 1524, 433, 1436, 387, 264, 15803, 430, 279, 28550, 264, 1732, 11713, 690, 3412, 264, 3738, 3392, 315, 23701, 13, 578, 1888, 2068, 5226, 690, 4762, 16343, 279, 1403, 315, 1521, 17357, 13, 4343, 449, 264, 2626, 18740, 449, 420, 323, 1304, 2771, 61913, 527, 11944, 304, 279, 2068, 9306, 627, 2409, 682, 279, 19679, 315, 279, 28550, 2532, 7902, 1314, 311, 701, 6134, 11, 701, 2162, 690, 387, 2731, 1109, 814, 617, 304, 1667, 13, 4452, 279, 22934, 315, 264, 4335, 11, 653, 566, 6339, 291, 22423, 733, 1664, 3347, 17983, 1427, 7636, 13, 25531, 9463, 315, 682, 315, 430, 41548, 9622, 505, 701, 4676, 1253, 3604, 1520, 311, 3493, 264, 8430, 315, 19858, 13, 2876, 1193, 690, 499, 18979, 701, 1938, 4791, 11477, 8631, 5990, 11, 4869, 499, 3358, 49715, 2867, 315, 279, 2890, 52642, 304, 5369, 311, 44885, 4787, 430, 649, 2586, 709, 505, 653, 18883, 40190, 627, 6153, 499, 7782, 279, 3673, 311, 636, 701, 56719, 287, 3940, 389, 701, 1866, 44277, 2162, 11, 6920, 389, 323, 2571, 3201, 1475, 832, 315, 279, 15039, 11, 12466, 10827, 15411, 11, 5044, 32183, 11, 5099, 2637, 304, 279, 28550, 499, 617, 22163, 311, 47086, 701, 1866, 44277, 2162, 627, 71251, 279, 5043, 16686, 11, 264, 1396, 315, 11443, 315, 264, 44364, 304, 21069, 869, 5220, 3085, 9888, 3956, 323, 3600, 311, 279, 21426, 26467, 304, 18859, 449, 279, 18539, 13, 1115, 9889, 690, 4762, 387, 2884, 5304, 1176, 5101, 1176, 3493, 8197, 13, 4314, 13124, 315, 5220, 3611, 953, 3674, 24305, 311, 872, 51566, 16472, 16180, 499, 810, 369, 8405, 459, 9250, 2532, 311, 279, 1274, 389, 690, 1205, 520, 459, 60618, 2853, 439, 459, 10778, 311, 7999, 459, 3779, 22786, 315, 872, 2759, 627, 14364, 8712, 311, 2997, 994, 3339, 264, 19160, 374, 26679, 279, 3634, 279, 2035, 430, 279, 5593, 690, 48383, 13, 7874, 398, 520, 264, 3838, 279, 99576, 690, 4762, 387, 743, 389, 420, 53242, 477, 1524, 279, 8761, 13, 1556, 7718, 2144, 311, 6227, 374, 430, 304, 1690, 5789, 264, 11810, 374, 2631, 422, 264, 6462, 374, 9277, 304, 279, 6814, 13, 33391, 6424, 323, 23395, 264, 11810, 1253, 9006, 420, 3230, 11, 477, 3629, 264, 11810, 649, 387, 12673, 1555, 279, 19160, 7626, 13, 578, 3158, 420, 28550, 690, 387, 12504, 1022, 1288, 387, 28822, 315, 904, 5435, 11, 902, 2997, 25, 1633, 3428, 21078, 15919, 5238, 11, 5021, 37601, 11, 70255, 439, 1664, 439, 38826, 95064, 5015, 627, 4213, 23771, 5938, 449, 279, 11443, 315, 264, 44364, 304, 21069, 869, 21390, 11, 889, 97689, 279, 6130, 304, 12178, 922, 279, 3956, 902, 649, 387, 2751, 9463, 315, 1139, 264, 28550, 11, 7194, 315, 279, 11443, 315, 264, 44364, 304, 21069, 869, 304, 5369, 311, 3878, 323, 4787, 505, 279, 34545, 13, 3277, 499, 527, 3794, 5938, 449, 264, 7626, 430, 649, 3085, 4367, 3956, 323, 3600, 520, 60618, 2853, 11, 499, 3358, 13383, 430, 62024, 17065, 5304, 9954, 315, 990, 574, 2646, 420, 3230, 4228, 323, 420, 3230, 17049, 627, 4599, 499, 1390, 701, 19160, 28550, 3984, 323, 50087, 7018, 892, 11, 4686, 264, 2766, 315, 3495, 311, 1505, 264, 4367, 7626, 13, 1472, 3358, 1101, 1935, 9610, 315, 4333, 5741, 3600, 11, 2731, 7194, 323, 810, 25152, 311, 3449, 701, 1866, 18651, 13, 6104, 499, 2351, 13326, 68337, 701, 50555, 26255, 11, 656, 499, 2216, 12876, 311, 923, 3779, 8631, 30, 9479, 11, 3131, 499, 636, 701, 1866, 28550, 11, 1304, 2771, 430, 279, 4595, 315, 7384, 499, 527, 48897, 527, 12054, 555, 279, 57918, 701, 3838, 374, 304, 13, 1472, 5042, 649, 956, 28490, 315, 1344, 100210, 477, 41273, 7384, 439, 1664, 439, 31800, 304, 5369, 311, 34802, 2949, 701, 28550, 13, 1472, 649, 636, 13471, 449, 264, 2294, 422, 499, 2035, 12079, 6956, 304, 701, 28550, 13, 53123, 11, 1505, 704, 1148, 279, 16565, 527, 922, 1148, 499, 649, 323, 1288, 539, 2571, 3201, 1603, 6041, 701, 2447, 627, 3112, 5616, 11, 279, 1005, 315, 279, 2532, 1053, 39022, 2187, 499, 311, 4822, 2867, 315, 3515, 264, 4156, 37839, 6799, 449, 23701, 11, 304, 279, 3388, 315, 70430, 13, 12522, 499, 3596, 3970, 279, 6522, 20085, 16239, 4423, 596, 14048, 10409, 449, 32169, 7437, 11, 32720, 704, 7147, 11, 37248, 323, 41626, 28954, 11, 24059, 1023, 2574, 30, 10926, 11, 499, 3077, 10534, 420, 3230, 6261, 13, 9393, 499, 3868, 369, 279, 26964, 30686, 11092, 311, 17782, 11, 499, 690, 387, 16026, 1070, 596, 912, 35507, 9282, 4787, 430, 690, 5101, 1555, 304, 5369, 311, 3351, 420, 35098, 311, 279, 6522, 14006, 16239, 1063, 315, 701, 4885, 439, 1664, 439, 311, 279, 8761, 13, 1115, 2216, 374, 46041, 1113, 3871, 449, 45105, 627, 52156, 3751, 7286, 374, 389, 279, 3566, 6638, 3201, 5593, 19160, 21390, 3196, 304, 7427, 37048, 369, 420, 6130, 2960, 2265, 3600, 6957, 279, 7140, 13, 578, 1217, 36387, 6319, 3997, 3727, 499, 13123, 430, 279, 5216, 2269, 4049, 1314, 505, 279, 1212, 505, 279, 3568, 311, 9954, 315, 279, 3568, 706, 2646, 1027, 420, 66637, 14040, 6931, 13, 1115, 91749, 315, 3956, 16239, 44364, 2167, 13592, 505, 220, 605, 14006, 311, 86043, 4330, 20085, 28550, 8405, 904, 3169, 315, 32961, 4184, 311, 2587, 1903, 3966, 505, 279, 6130, 627, 2746, 499, 3974, 4871, 459, 2362, 8961, 3838, 499, 1440, 430, 279, 4040, 9439, 649, 7995, 513, 752, 1555, 279, 14620, 439, 1664, 439, 279, 2362, 11276, 13, 1472, 1390, 311, 47086, 701, 2362, 8961, 3838, 719, 499, 1053, 1093, 311, 2567, 279, 33464, 13989, 13, 1102, 374, 3284, 311, 47086, 701, 1510, 83408, 1701, 502, 3956, 430, 649, 7945, 499, 3665, 3300, 304, 279, 1317, 1629, 627, 20397, 279, 1940, 3447, 11, 1070, 374, 279, 6140, 430, 279, 18147, 94138, 11443, 315, 264, 44364, 304, 21069, 869, 11, 36095, 374, 2133, 311, 15673, 1063, 61699, 4920, 13, 1102, 2216, 374, 4661, 45207, 11, 994, 499, 636, 311, 279, 42834, 13, 578, 1888, 1648, 311, 3009, 1884, 61699, 505, 3794, 311, 387, 16781, 320, 438, 11646, 8, 5674, 311, 701, 1510, 37125, 477, 7344, 53242, 374, 2744, 311, 1304, 2771, 279, 28550, 5900, 304, 264, 7858, 1405, 832, 649, 2559, 6968, 264, 2478, 1156, 33668, 323, 65822, 2163, 4920, 13, 1472, 1253, 1505, 6261, 3515, 311, 40320, 264, 2697, 19662, 311, 636, 9463, 315, 701, 23701, 11, 719, 433, 3358, 387, 5922, 433, 1306, 499, 1541, 956, 617, 311, 1817, 704, 28360, 11, 1933, 1752, 1940, 3447, 304, 701, 20085, 369, 2478, 4038, 311, 264, 43438, 1306, 499, 4686, 701, 2162, 4442, 627, 3947, 374, 912, 4360, 264, 28550, 374, 38631, 5995, 304, 264, 2683, 3997, 369, 12571, 17065, 11, 323, 814, 527, 10671, 810, 29546, 33705, 1109, 3596, 1603, 11, 323, 279, 19160, 27767, 690, 4546, 279, 4040, 28550, 11, 4384, 433, 994, 433, 374, 4686, 11, 323, 2586, 1203, 449, 264, 4335, 832, 13, 1666, 264, 1121, 279, 53459, 990, 1790, 810, 4382, 323, 3025, 311, 67638, 279, 4857, 961, 315, 279, 2447, 11, 304, 13168, 311, 10374, 892, 439, 1664, 439, 4907, 311, 2567, 4819, 58905, 449, 279, 2683, 3997, 627, 8238, 2771, 499, 527, 7995, 539, 21939, 704, 2555, 430, 279, 19160, 28550, 27767, 1587, 539, 1095, 13, 15483, 2574, 649, 387, 20451, 323, 420, 374, 5042, 311, 6144, 279, 11761, 11, 279, 1274, 430, 990, 520, 279, 28550, 27767, 323, 11000, 433, 374, 1524, 279, 19812, 315, 279, 2035, 499, 3974 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 23274, 3216, 39693, 198, 15724, 5084, 311, 387, 832, 315, 1884, 2919, 994, 4395, 5097, 2380, 3115, 5129, 1109, 433, 1288, 13, 358, 3987, 499, 1051, 3025, 311, 636, 1555, 701, 311, 30659, 1160, 2731, 1109, 358, 1550, 627, 1131, 1354, 79863, 84558, 315, 10082, 198, 25335, 11, 9908, 11, 35488, 345, 14789, 24826, 11, 323, 4917, 24366, 19031, 627, 2028, 19961, 596, 5513, 315, 25074, 512, 2746, 499, 1390, 264, 35649, 220, 679, 17, 35907, 11, 499, 690, 1205, 311, 2015, 433, 5246, 13, 1952, 6287, 220, 2148, 267, 11, 584, 690, 3009, 10209, 279, 35649, 220, 679, 17, 6193, 5182, 13, 1472, 690, 2103, 387, 3025, 311, 1373, 279, 1949, 14281, 11028, 389, 1057, 3997, 323, 499, 690, 2103, 387, 3025, 311, 2015, 35649, 220, 679, 18, 6193, 5182, 627, 791, 6250, 15438, 51165, 690, 387, 3288, 704, 311, 279, 31120, 323, 8621, 311, 279, 3997, 16986, 17146, 7192, 13, 5810, 527, 279, 7902, 9522, 51, 43613, 6250, 220, 679, 17, 15083, 63753, 198, 96140, 6729, 6250, 220, 679, 17, 15083, 63753, 198, 34, 11967, 6250, 220, 679, 17, 15083, 63753, 198, 99767, 6250, 220, 679, 17, 15083, 63753, 198, 50135, 3427, 6250, 220, 679, 17, 15083, 63753, 198, 9374, 969, 6250, 220, 679, 17, 15083, 63753, 198, 3407, 269, 12183, 6250, 220, 679, 17, 15083, 63753, 198, 50, 351, 1468, 41321, 6250, 220, 679, 17, 15083, 63753, 198, 13199, 2265, 1540, 6250, 220, 679, 17, 15083, 63753, 198, 92313, 41321, 6250, 220, 679, 17, 15083, 63753, 198, 47, 285, 1634, 6250, 220, 679, 17, 15083, 63753, 198, 2746, 279, 502, 4917, 24366, 19031, 656, 539, 1501, 709, 11, 4587, 4299, 389, 279, 1054, 17611, 863, 3215, 2949, 701, 7074, 627, 2460, 315, 279, 220, 679, 18, 15438, 4917, 24366, 19031, 617, 1027, 5439, 1198, 430, 374, 220, 717, 2204, 15438, 51165, 320, 33327, 1555, 6790, 8, 369, 1855, 315, 279, 220, 717, 2204, 1167, 57986, 12195, 13, 4314, 15438, 51165, 3235, 449, 872, 12435, 45370, 24131, 617, 1027, 20276, 323, 6656, 1139, 86831, 323, 11612, 89002, 9522, 51, 43613, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 96140, 6729, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 34, 11967, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 99767, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 50135, 3427, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 9374, 969, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 3407, 269, 12183, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 50, 351, 1468, 41321, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 13199, 2265, 1540, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 92313, 41321, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 47, 285, 1634, 220, 679, 18, 45434, 15083, 24366, 19031, 198, 644, 5369, 311, 3794, 1124, 505, 1057, 3997, 11, 499, 649, 1101, 636, 1124, 6089, 505, 1057, 36717, 2288, 9522, 43, 25415, 25, 70232, 6603, 198, 2746, 682, 5900, 1664, 814, 690, 5246, 387, 2561, 389, 8339, 2288, 4999, 791, 220, 679, 18, 45370, 4917, 24366, 19031, 617, 1027, 8621, 311, 279, 3997, 13, 5810, 527, 279, 7902, 9522, 51, 43613, 220, 679, 18, 9941, 398, 15083, 63753, 198, 96140, 6729, 220, 679, 18, 9941, 398, 15083, 63753, 198, 34, 11967, 220, 679, 18, 9941, 398, 15083, 63753, 198, 99767, 220, 679, 18, 9941, 398, 15083, 63753, 198, 50135, 3427, 220, 679, 18, 9941, 398, 15083, 63753, 198, 9374, 969, 220, 679, 18, 9941, 398, 15083, 63753, 198, 3407, 269, 12183, 220, 679, 18, 9941, 398, 15083, 63753, 198, 50, 351, 1468, 41321, 220, 679, 18, 9941, 398, 15083, 63753, 198, 13199, 2265, 1540, 220, 679, 18, 9941, 398, 15083, 63753, 198, 92313, 41321, 220, 679, 18, 9941, 398, 15083, 63753, 198, 47, 285, 1634, 220, 679, 18, 9941, 398, 15083, 63753, 198, 35127, 1534, 11028, 315, 279, 220, 679, 18, 6193, 5182, 527, 1101, 2561, 9522, 2244, 422, 279, 1403, 315, 499, 527, 18641, 9522, 2244, 1148, 596, 5108, 709, 2212, 279, 1828, 37920, 304, 279, 5754, 4999, 10445, 3234, 358, 13969, 85299, 304, 10919, 3161, 279, 41856, 9029, 5380, 2127, 65229, 31356, 13002, 311, 43897, 10919, 323, 5843, 9469, 4289, 1219, 857, 919, 2200, 198, 56441, 279, 37456, 34307, 292, 198, 4599, 2052, 19334, 435, 6341, 11, 7531, 4718, 18449, 596, 19508, 323, 11070, 9928, 1126, 4999, 644, 50177, 1697, 29461, 1789, 25531, 24561, 13266, 21882, 3277, 12334, 65057, 2057, 2893, 35971, 10291, 198, 28615, 1238, 25, 8940, 13797, 477, 9925, 39370, 5380, 15546, 374, 4923, 9188, 11355, 5380, 47048, 68, 11355, 374, 279, 12432, 315, 56096, 596, 10564, 11, 459, 8191, 7808, 304, 34147, 84558, 315, 10082, 13, 6385, 6603, 11, 9908, 11, 323, 47804, 31356, 51165, 617, 14948, 1274, 315, 682, 17051, 323, 10082, 82, 311, 312, 17869, 5694, 311, 279, 33436, 315, 23871, 13, 2057, 1373, 810, 315, 1077, 9908, 11, 57249, 315, 1077, 6603, 11, 323, 1077, 91947, 51165, 11, 733, 311, 8604, 844, 121827, 1849, 11918, 5181, 13, 2057, 1373, 810, 922, 4923, 9188, 323, 311, 1373, 39104, 315, 420, 1949, 17496, 20846, 11, 733, 311, 8604, 815, 8050, 68, 42493, 916, 627, 47048, 68, 11355, 64737, 198, 20031, 315, 279, 10563, 512, 40234, 374, 539, 279, 21973, 315, 264, 281, 607, 11, 719, 279, 18186, 315, 264, 4027, 13, 482, 12656, 38325, 32269, 1900, 11, 18088, 14128, 295, 323, 80210, 266, 380, 198, 47493, 23941, 82, 505, 834, 817, 26, 3090, 33291, 1202, 53500, 505, 54363, 367, 1131, 1524, 779, 1587, 304, 1335, 35735, 279, 56022, 315, 279, 4059, 13, 482, 66486, 3067, 97866, 198, 37132, 701, 892, 304, 18899, 6261, 555, 1023, 3026, 596, 43422, 779, 430, 499, 4985, 2586, 6847, 555, 1148, 3885, 617, 10278, 3093, 2653, 369, 13, 482, 328, 78046, 198, 14180, 13659, 315, 279, 10563, 512, 3923, 374, 279, 6811, 1990, 659, 1824, 1018, 42914, 323, 659, 66104, 2136, 30, 2684, 374, 779, 1790, 3137, 304, 279, 1917, 922, 21955, 13520, 1120, 279, 1648, 584, 527, 13, 578, 4623, 374, 430, 584, 527, 1855, 4832, 323, 6366, 13, 1102, 5900, 1524, 4726, 311, 2019, 430, 304, 5905, 311, 1057, 4443, 64876, 11, 584, 527, 7041, 1405, 584, 527, 8967, 311, 387, 323, 1070, 374, 912, 1205, 311, 10418, 349, 13520, 369, 539, 1694, 810, 18330, 11, 810, 33142, 11, 810, 81879, 11, 810, 315, 4205, 13, 3092, 4747, 374, 430, 779, 1690, 1274, 1935, 430, 311, 3152, 814, 649, 1243, 2503, 323, 656, 4400, 922, 36351, 904, 315, 872, 659, 72259, 287, 5627, 13, 9029, 1180, 439, 3582, 61708, 264, 26784, 477, 1524, 1701, 279, 1633, 3492, 364, 1517, 675, 6, 374, 279, 1890, 439, 659, 2902, 266, 1171, 323, 374, 2288, 9200, 13, 7566, 11, 1884, 889, 617, 1027, 389, 279, 1853, 315, 659, 21430, 4238, 53061, 369, 264, 1317, 892, 617, 11352, 279, 6811, 11, 719, 358, 1097, 539, 779, 2771, 430, 279, 18254, 13142, 389, 279, 8761, 31869, 279, 1984, 6724, 627, 57813, 6439, 264, 4832, 59045, 1285, 2324, 505, 7342, 311, 279, 25165, 13, 45635, 31889, 323, 584, 6118, 1514, 264, 3560, 304, 6968, 1884, 5435, 369, 13520, 13, 19292, 279, 3575, 374, 430, 584, 527, 539, 1405, 584, 1390, 311, 387, 304, 2324, 13, 1442, 584, 527, 3596, 311, 5155, 4205, 477, 11886, 904, 5435, 11, 584, 2011, 1176, 6958, 1057, 2010, 704, 315, 279, 9462, 323, 25670, 279, 6671, 369, 1148, 433, 374, 13, 12040, 2539, 5708, 315, 13520, 11, 1057, 21463, 11, 1057, 21258, 11, 1057, 35032, 11, 1057, 11774, 11, 1057, 41859, 11, 4395, 13, 3296, 2216, 3411, 520, 13520, 11, 584, 649, 1243, 10491, 1148, 584, 656, 323, 656, 539, 1093, 922, 13520, 13, 5659, 264, 2035, 315, 659, 66104, 2136, 11, 584, 649, 8417, 1148, 374, 10695, 603, 311, 22829, 1057, 9021, 323, 1148, 374, 33994, 603, 13, 3011, 374, 1694, 659, 66104, 627, 12363, 1824, 1018, 42914, 5992, 1633, 4528, 13, 1226, 527, 4737, 15808, 315, 13520, 323, 61853, 6928, 323, 8389, 9382, 311, 1884, 25022, 584, 1505, 2949, 13, 578, 6811, 4131, 304, 279, 1376, 315, 279, 19451, 584, 1005, 1418, 3815, 779, 13, 1442, 584, 527, 50790, 279, 5370, 8365, 11, 5423, 505, 264, 25984, 3177, 11, 1243, 584, 527, 1694, 9200, 4856, 1109, 5042, 1694, 8010, 13, 3277, 584, 527, 1694, 659, 1824, 14849, 11, 584, 527, 539, 21955, 11, 20406, 11, 6463, 45017, 505, 279, 5370, 5540, 315, 13520, 430, 584, 527, 42118, 13, 1226, 527, 1694, 1633, 19971, 278, 323, 83474, 25984, 627, 50344, 1648, 11, 584, 2586, 311, 279, 1890, 17102, 430, 4442, 1205, 311, 1935, 2035, 11, 719, 279, 14604, 10633, 4920, 1124, 374, 1633, 2204, 13, 3861, 2795, 11, 330, 40, 5268, 311, 2349, 1606, 433, 690, 1520, 757, 311, 14794, 279, 2324, 358, 12876, 369, 7182, 13, 358, 1097, 4832, 3508, 358, 2349, 477, 539, 11, 719, 358, 5268, 420, 2349, 1606, 358, 1053, 1093, 311, 22472, 420, 659, 29899, 91955, 7865, 1210, 578, 1023, 2795, 11, 330, 40, 2011, 2349, 1606, 358, 2846, 264, 59991, 323, 912, 1695, 13, 358, 2011, 2349, 1606, 422, 358, 1541, 956, 11, 358, 690, 2646, 387, 264, 13946, 13, 358, 4250, 3021, 7182, 3156, 358, 1097, 264, 13946, 323, 9093, 358, 1097, 539, 28390, 315, 5606, 775, 596, 3021, 3060, 1210, 11995, 315, 1521, 6325, 649, 387, 1633, 8147, 12521, 3046, 11, 719, 279, 11879, 315, 2324, 374, 5107, 323, 17436, 3403, 2085, 3779, 26225, 93795, 311, 433, 627, 8607, 315, 603, 1051, 9408, 311, 387, 659, 1824, 14849, 323, 617, 311, 4048, 1268, 311, 3021, 13520, 13, 578, 5915, 374, 311, 387, 3025, 311, 387, 2225, 659, 66104, 323, 659, 77700, 13, 6104, 4560, 311, 636, 311, 430, 1486, 11, 1070, 374, 6965, 311, 387, 264, 9320, 4261, 13, 12220, 430, 892, 11, 1418, 4737, 15808, 315, 13520, 584, 1205, 311, 1304, 264, 17371, 5149, 311, 7293, 45017, 323, 20406, 13, 63039, 408, 430, 499, 527, 3165, 1197, 505, 7834, 31571, 13, 3234, 539, 15866, 904, 20356, 36734, 311, 279, 5370, 11725, 315, 6928, 323, 8389, 25022, 13, 2435, 5042, 3073, 13, 2435, 527, 1148, 814, 527, 13, 12334, 810, 11, 4400, 2753, 13, 2684, 374, 912, 1205, 311, 11913, 1124, 1695, 477, 14289, 13, 7557, 459, 5149, 311, 74145, 24564, 1148, 374, 13788, 499, 323, 1148, 374, 539, 13, 5112, 1304, 459, 16369, 5597, 439, 311, 1148, 13124, 315, 4442, 499, 1781, 2643, 387, 315, 8935, 311, 701, 3938, 16388, 323, 19226, 13, 38274, 11, 279, 100177, 649, 387, 30073, 7119, 3515, 264, 21955, 20356, 7119, 13520, 2391, 279, 1920, 13, 2030, 369, 43806, 11, 264, 45017, 16865, 690, 2103, 8854, 279, 7580, 315, 3794, 499, 7366, 3235, 7119, 264, 2731, 3938, 2085, 279, 6784, 323, 4851, 1815, 9057, 555, 1694, 9200, 323, 3152, 311, 6261, 1120, 369, 1694, 3823, 627, 791, 1193, 3245, 11201, 1109, 78214, 6261, 10980, 449, 28128, 659, 7716, 2509, 82, 11, 374, 311, 35840, 430, 4400, 374, 5076, 323, 311, 3136, 7366, 1555, 701, 2324, 40916, 279, 1890, 3958, 11704, 927, 323, 927, 1418, 2646, 6975, 505, 1124, 13, 10323, 2427, 19632, 11, 659, 50570, 11, 659, 12, 3342, 1223, 479, 11, 659, 65906, 11, 659, 27578, 588, 682, 3789, 505, 279, 5845, 311, 387, 659, 66104, 2085, 19971, 13, 1666, 1317, 439, 584, 10477, 505, 13520, 323, 656, 539, 3663, 1057, 41859, 2010, 389, 11, 1243, 584, 527, 3339, 264, 5873, 311, 3974, 459, 653, 1285, 7712, 287, 11, 653, 268, 4238, 6901, 2324, 13, 3234, 539, 1935, 279, 45572, 922, 21955, 6261, 1120, 279, 1648, 499, 527, 311, 3152, 430, 499, 4250, 7417, 5304, 701, 17393, 520, 23871, 555, 3339, 1063, 5419, 34074, 13, 3277, 499, 3021, 2555, 11, 499, 79530, 433, 11, 6144, 433, 11, 1520, 433, 311, 3139, 323, 41972, 13, 578, 1890, 1288, 387, 837, 449, 659, 27578, 588, 627, 644, 1694, 10978, 449, 13520, 9002, 889, 323, 1148, 584, 527, 11, 584, 649, 1243, 3240, 3339, 1972, 11709, 430, 617, 264, 1972, 5536, 389, 1057, 3938, 23871, 13, 1226, 649, 10491, 311, 1304, 13987, 34074, 477, 2294, 2466, 2324, 10223, 61086, 311, 13520, 13, 35106, 287, 4737, 264, 1695, 1317, 1427, 520, 6261, 690, 539, 1304, 279, 6332, 315, 889, 499, 527, 323, 1268, 499, 5603, 2324, 636, 904, 2731, 13, 578, 1180, 315, 31526, 659, 44107, 1191, 304, 323, 315, 5196, 24897, 430, 499, 2216, 656, 539, 1518, 6261, 439, 6366, 323, 7041, 1405, 499, 1205, 311, 387, 304 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 91, 806, 13, 508, 13, 2545, 520, 220, 605, 25, 508, 1097, 18241, 7511, 30287, 20661, 7411, 709, 449, 468, 3418, 480, 27620, 55177, 323, 8753, 445, 875, 369, 279, 13558, 315, 18231, 5114, 8935, 520, 279, 68936, 2996, 68, 23435, 627, 91, 806, 13, 508, 13, 2545, 520, 220, 23, 25, 1272, 1097, 18241, 7511, 7009, 3207, 279, 2944, 279, 7997, 312, 15961, 627, 6153, 264, 4140, 220, 22, 4814, 311, 279, 15852, 9670, 279, 58796, 14336, 3280, 1566, 1060, 11, 10406, 4024, 1139, 279, 40972, 449, 264, 2867, 16945, 25, 2175, 19662, 13, 578, 4101, 4814, 311, 279, 15852, 15246, 264, 2867, 23948, 2949, 279, 58796, 2128, 11, 11951, 264, 6996, 315, 8149, 520, 279, 2466, 10093, 13, 10406, 86087, 1139, 279, 40972, 16766, 7561, 16677, 6795, 11, 16351, 59130, 57654, 39956, 323, 1443, 58688, 13926, 311, 3041, 1124, 8149, 520, 279, 2466, 82, 11, 323, 1524, 50030, 2947, 9383, 50635, 311, 923, 2225, 20413, 323, 9232, 1022, 279, 13731, 627, 791, 15852, 15246, 279, 58796, 529, 44667, 13, 578, 15852, 6476, 264, 3682, 3560, 304, 17919, 279, 58796, 311, 19161, 323, 312, 14506, 872, 13731, 11, 323, 1457, 814, 617, 311, 3663, 279, 32236, 814, 9087, 1893, 627, 644, 264, 1790, 12, 93878, 93326, 11, 279, 1403, 7411, 690, 471, 311, 279, 5590, 1405, 814, 2322, 369, 872, 51391, 4140, 220, 22, 1120, 3116, 2875, 4038, 4227, 11, 323, 8530, 1063, 690, 1684, 420, 439, 264, 6140, 311, 1212, 52945, 264, 5573, 627, 4897, 1694, 1071, 11, 520, 420, 1486, 304, 279, 3280, 11, 264, 2763, 706, 5614, 1990, 279, 1403, 7411, 13, 1789, 10406, 11, 1070, 527, 279, 46752, 4442, 311, 279, 13731, 323, 279, 471, 311, 2890, 315, 16768, 65132, 7211, 13, 26982, 304, 28944, 11, 473, 66981, 21187, 540, 10036, 374, 704, 11, 56232, 25581, 374, 304, 11, 323, 93188, 261, 27562, 374, 1203, 389, 279, 28745, 13, 4557, 279, 2800, 315, 420, 4441, 125341, 91, 806, 13, 777, 13, 2545, 520, 220, 605, 25, 1627, 9012, 18241, 7511, 1548, 1047, 311, 3821, 505, 279, 13731, 439, 813, 32746, 5675, 4140, 220, 22, 315, 279, 18516, 15217, 66600, 24624, 627, 10378, 574, 510, 83, 19011, 60, 1022, 13, 29308, 1120, 510, 83, 19011, 60, 1022, 2476, 65132, 7211, 16584, 2768, 7950, 753, 6725, 627, 10378, 4344, 539, 264, 50739, 1732, 2476, 65132, 7211, 8738, 13, 1054, 40, 4344, 1120, 3411, 4741, 311, 5737, 1124, 13, 36530, 11, 814, 3207, 6646, 832, 315, 279, 1888, 7411, 13, 358, 4344, 2771, 584, 3207, 2133, 311, 4478, 13520, 323, 12239, 13520, 389, 430, 323, 1456, 311, 1514, 2731, 13, 1226, 3207, 264, 2128, 430, 753, 4560, 311, 636, 2731, 779, 433, 1288, 387, 264, 2523, 1847, 49216, 791, 15852, 527, 17791, 449, 279, 58796, 449, 264, 220, 24, 12, 18, 11, 1120, 4920, 20005, 369, 4216, 31300, 65503, 304, 279, 6460, 627, 17818, 4805, 387, 6555, 311, 636, 311, 1514, 1124, 2476, 2010, 7395, 22452, 36739, 1071, 13, 1054, 7009, 3207, 279, 2128, 5127, 374, 43931, 304, 279, 6460, 13, 2435, 2834, 279, 22279, 315, 279, 6460, 1566, 1060, 13, 1666, 3117, 439, 584, 3207, 11920, 11, 814, 3207, 279, 7075, 11, 24372, 753, 279, 2132, 7075, 323, 584, 3207, 279, 4948, 11, 3196, 389, 279, 3135, 315, 1566, 1060, 13, 1102, 4805, 387, 1695, 311, 1518, 1405, 584, 3207, 520, 2029, 4557, 279, 2800, 315, 420, 4441, 125341, 91, 806, 13, 777, 13, 2545, 520, 220, 19, 25, 1721, 9012, 18241, 7511, 34, 3903, 1233, 4741, 16768, 65132, 7211, 11096, 279, 37828, 612, 16071, 3258, 7073, 389, 7950, 13, 578, 58796, 6917, 14407, 813, 2890, 11, 279, 8815, 315, 13758, 505, 11134, 11, 279, 5536, 315, 59130, 57654, 39956, 389, 279, 58796, 323, 279, 1614, 315, 420, 3280, 753, 2128, 627, 97406, 527, 1380, 17890, 3770, 13, 2057, 9020, 311, 279, 4686, 7274, 11, 4299, 1618, 627, 5966, 2046, 59130, 57654, 39956, 1071, 568, 2643, 539, 617, 459, 4994, 2134, 13, 3639, 753, 18821, 11, 220, 2075, 34303, 295, 5380, 11649, 11, 422, 499, 1390, 311, 1935, 430, 6689, 1566, 3814, 11, 4762, 922, 220, 1490, 311, 220, 2075, 34303, 295, 11, 22371, 11, 430, 753, 922, 13687, 11, 22371, 627, 2675, 2663, 433, 304, 279, 3805, 3287, 1431, 499, 5380, 40, 2663, 433, 994, 358, 1095, 433, 733, 11, 323, 1243, 4418, 27562, 3460, 315, 1071, 2555, 311, 757, 13, 3011, 753, 3249, 856, 13010, 574, 279, 1648, 433, 574, 11, 1606, 358, 7020, 994, 358, 1095, 433, 733, 11, 433, 6612, 1695, 11, 719, 499, 2646, 1440, 304, 1884, 15082, 13, 358, 1095, 433, 733, 11, 433, 6612, 1695, 11, 297, 2319, 11, 4024, 304, 627, 40, 4344, 20910, 422, 8850, 374, 279, 1314, 3492, 311, 1005, 994, 499, 1047, 264, 3682, 11134, 369, 279, 1176, 892, 304, 701, 7076, 13, 3277, 499, 3287, 1431, 1440, 1148, 574, 2133, 389, 11, 1051, 499, 63757, 520, 682, 922, 1148, 574, 2133, 389, 304, 1070, 5380, 40, 8850, 4359, 323, 358, 8850, 856, 6691, 11, 430, 753, 922, 279, 1193, 3245, 304, 2324, 11, 1023, 1109, 430, 433, 574, 1120, 7833, 709, 6784, 13, 2468, 832, 1486, 358, 3463, 433, 574, 2555, 430, 358, 1436, 1514, 1555, 11, 358, 7020, 994, 358, 2751, 2162, 323, 994, 358, 574, 304, 856, 1866, 4443, 3634, 11, 430, 753, 994, 358, 7020, 433, 574, 2555, 6129, 13, 40155, 709, 7504, 11, 11961, 1523, 11, 35744, 704, 389, 279, 6558, 11, 41398, 704, 389, 279, 6558, 11, 856, 2531, 574, 15320, 91259, 757, 627, 3112, 499, 3207, 7556, 922, 264, 2763, 315, 5820, 11, 779, 994, 358, 2216, 3940, 311, 1935, 433, 6129, 323, 279, 810, 358, 2751, 33142, 389, 1148, 574, 2133, 389, 11, 430, 753, 994, 358, 3940, 311, 1304, 11429, 2890, 24219, 11, 1148, 574, 1888, 369, 757, 13, 358, 574, 4401, 1093, 358, 574, 4401, 449, 264, 31787, 2531, 11, 323, 22452, 304, 6725, 574, 1093, 11, 420, 374, 17936, 311, 3821, 13, 3092, 5149, 11, 358, 5128, 1790, 1555, 574, 1070, 11, 358, 6818, 311, 2586, 1203, 11, 1514, 264, 5743, 3953, 11, 358, 7020, 430, 358, 574, 13194, 11, 358, 7020, 430, 358, 574, 2216, 13194, 11, 719, 358, 574, 4560, 311, 40336, 1555, 433, 11, 4560, 311, 3041, 7043, 323, 279, 2800, 315, 1521, 7752, 1063, 1862, 627, 4071, 358, 1120, 7020, 520, 279, 1890, 892, 358, 574, 4762, 3339, 433, 11201, 555, 5737, 13, 358, 1047, 264, 1633, 11, 1633, 11, 1633, 9024, 11134, 11, 14224, 17685, 993, 1759, 719, 279, 1404, 315, 279, 60131, 574, 5128, 42408, 11, 323, 5128, 22520, 13, 1102, 5828, 1431, 3156, 358, 2751, 311, 1518, 433, 1243, 358, 3952, 433, 264, 2763, 810, 6129, 11, 719, 3156, 430, 1486, 358, 574, 5918, 1022, 2653, 990, 323, 39955, 311, 701, 11003, 13, 358, 9167, 1431, 5614, 430, 2533, 358, 2751, 1618, 11, 358, 4070, 2744, 6612, 1093, 4059, 927, 5030, 11, 499, 1440, 279, 4059, 10975, 279, 2547, 11, 719, 520, 1063, 1486, 279, 4059, 706, 311, 9020, 311, 279, 2547, 13, 4557, 279, 2800, 315, 420, 4441, 125341, 91, 806, 13, 777, 13, 2545, 520, 220, 18, 25, 2839, 9012, 18241, 7511, 54, 44249, 1428, 2001, 23548, 3432, 753, 6725, 11, 13558, 20661, 690, 387, 3794, 5644, 311, 3552, 264, 3361, 23693, 1567, 311, 4933, 3300, 369, 813, 2466, 45405, 61064, 1828, 2046, 627, 90243, 753, 1567, 520, 578, 68936, 2996, 68, 23435, 690, 387, 1825, 311, 279, 586, 369, 264, 8187, 400, 508, 25968, 520, 279, 6134, 11, 449, 3300, 9408, 311, 8935, 279, 13558, 315, 18231, 5114, 753, 9045, 311, 7782, 45405, 74413, 369, 279, 83563, 369, 37250, 627, 791, 73080, 369, 1828, 7742, 753, 61064, 617, 2736, 1027, 4332, 311, 864, 46340, 8689, 520, 5370, 41991, 369, 30160, 612, 50556, 2212, 10406, 627, 32, 7347, 1396, 315, 36169, 12920, 527, 2103, 2561, 18396, 369, 400, 16, 11, 931, 555, 8260, 220, 21717, 12, 14125, 12, 8259, 17, 627, 91, 806, 13, 777, 13, 2545, 520, 220, 605, 25, 1958, 1097, 18241, 7511, 34, 3903, 1233, 7395, 22452, 36739, 11096, 35727, 612, 7290, 22826, 369, 813, 17496, 6369, 11, 323, 279, 18939, 4691, 1461, 922, 813, 24826, 1742, 11, 1268, 568, 12789, 449, 2204, 4311, 323, 3508, 568, 1053, 733, 369, 279, 3243, 477, 279, 18623, 422, 568, 574, 1523, 555, 1403, 3585, 13, 320, 2677, 1618, 369, 4686, 7855, 7274, 29275, 7489, 14576, 617, 1027, 304, 279, 3754, 31445, 13, 1666, 264, 30102, 12744, 1486, 11, 656, 499, 2980, 6261, 264, 2851, 753, 7395, 5380, 49, 1986, 25, 358, 4070, 6755, 430, 369, 1667, 2001, 1148, 753, 264, 2851, 753, 7395, 30, 358, 1541, 1431, 1440, 422, 1070, 374, 1778, 264, 3245, 11, 27136, 13, 2684, 753, 24909, 889, 617, 2294, 12135, 449, 872, 4311, 11, 1070, 527, 1884, 889, 1541, 1431, 11, 719, 358, 1541, 1431, 1781, 430, 753, 1148, 3727, 1124, 264, 2851, 753, 7395, 477, 539, 13, 358, 1781, 279, 5201, 8331, 374, 6908, 13, 1442, 499, 617, 5201, 304, 279, 35779, 3130, 449, 701, 4311, 323, 17192, 46391, 1243, 358, 8101, 430, 3727, 499, 264, 2851, 753, 7395, 627, 5519, 499, 3596, 26251, 264, 2007, 11, 1464, 264, 43459, 2541, 477, 46789, 36277, 10102, 5380, 40, 46789, 36277, 10102, 13, 358, 4070, 2646, 1027, 264, 43459, 2541, 21004, 261, 11, 719, 358, 4070, 2884, 2574, 1405, 358, 4070, 5675, 856, 6940, 13, 2030, 358, 1541, 1431, 1781, 1884, 527, 2574, 499, 649, 656, 1633, 3629, 1606, 9778, 433, 690, 539, 990, 13, 2030, 499, 617, 311, 387, 26192, 13, 1472, 617, 311, 7631, 264, 5410, 11, 902, 374, 1148, 584, 1650, 433, 304, 1057, 35779, 3130, 13, 1226, 743, 264, 5410, 13, 358, 7631, 430, 5410, 13, 3011, 753, 279, 961, 499, 617, 311, 636, 701, 4311, 311, 3780, 1139, 627, 3923, 527, 279, 2574, 499, 3974, 555, 311, 743, 430, 5410, 5380, 791, 1396, 832, 3245, 449, 757, 374, 499, 617, 311, 7293, 18909, 1949, 13, 1102, 706, 311, 387, 922, 2128, 323, 433, 706, 311, 387, 922, 11230, 13, 1442, 499, 617, 1884, 1403, 2574, 323, 814, 4510, 430, 323, 433, 706, 311, 387, 837, 1243, 814, 690, 1833, 499, 13, 1102, 753, 539, 922, 264, 6917, 13, 1102, 753, 539, 922, 4205, 775, 719, 11230, 11, 323, 499, 3371, 1124, 430, 709, 4156, 13, 3011, 3250, 1431, 3152, 279, 11429, 499, 1304, 527, 2744, 1314, 13, 3277, 499, 1304, 264, 5597, 323, 433, 753, 2744, 922, 1148, 753, 1695, 369, 279, 2128, 1243, 433, 753, 1633, 5107, 369, 4423, 311, 3488, 499, 389, 430, 627, 4897, 3250, 1431, 3152, 430, 584, 649, 1431, 656, 2555, 2204, 323, 430, 1253, 387, 837, 13, 358, 3371, 856, 4311, 682, 279, 892, 11, 358, 4344, 539, 2133, 311, 656, 1314, 682, 279, 892, 11, 719, 358, 1440, 422, 499, 656, 1314, 682, 279, 892, 433, 690, 2103, 990, 13, 4557, 279, 2800, 315, 420, 4441, 125341, 91, 806, 13, 777, 13, 2545, 520, 220, 24, 25, 1774, 1097, 18241, 7511, 16, 13, 320, 20, 1680, 1102, 574, 264, 15123, 315, 264, 2046, 369, 279, 3995, 57712, 11, 889, 704, 71214, 279, 58796, 520, 279, 19558, 323, 1243, 41323, 1555, 2162, 3953, 2403, 279, 436, 57229, 1752, 96427, 11, 279, 90789, 323, 279, 27162, 13, 3296, 279, 1648, 11, 18747, 9259, 97471, 757, 311, 4648, 13, 1283, 574, 2646, 264, 3958, 2851, 11, 3686, 568, 753, 11157, 439, 1695, 1457, 439, 568, 574, 2380, 1667, 4227, 627, 17, 13, 320, 16, 1680, 578, 2144, 430, 14129, 28512, 374, 44864, 220, 717, 29944, 824, 1847, 374, 16358, 3403, 11, 719, 311, 387, 3815, 433, 520, 220, 1758, 1667, 2362, 374, 27873, 13, 1442, 28512, 649, 10519, 420, 18338, 2001, 323, 568, 649, 1431, 2001, 813, 5219, 690, 387, 2731, 1109, 813, 32966, 15956, 13, 9372, 520, 279, 1948, 220, 868, 7945, 3026, 304, 10966, 3925, 323, 7000, 315, 1124, 706, 1047, 459, 7945, 3280, 3345, 311, 420, 520, 220, 1758, 627, 18, 13, 320, 24, 1680, 358, 5895, 902, 15852, 2851, 706, 279, 1455, 30311, 11, 2848, 2194, 3769, 389, 15560, 13000, 480, 60285, 13, 358, 4344, 11890, 499, 11, 8994, 279, 15160, 11, 814, 12491, 420, 7564, 13, 13000, 480, 60285, 374, 1314, 539, 311, 56359, 927, 10691, 11, 719, 60483, 569, 21256, 2834, 1431, 5246, 10894, 430, 813, 2010, 7395, 5762, 1461, 704, 279, 4553, 11999 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2620, 315, 36962, 198, 40249, 99512, 11, 279, 21811, 36908, 374, 1193, 9124, 994, 1070, 374, 27394, 13, 43633, 1070, 374, 3177, 304, 279, 3130, 11, 1202, 5788, 7214, 18417, 627, 6153, 499, 733, 311, 4950, 323, 2543, 1022, 279, 13001, 11, 279, 2547, 37771, 288, 264, 2763, 315, 8631, 994, 499, 1456, 311, 15508, 709, 304, 279, 6453, 6522, 311, 279, 44219, 315, 279, 2547, 297, 529, 21321, 13, 578, 2547, 5334, 1139, 264, 1614, 315, 22047, 11, 7422, 430, 433, 374, 2103, 3814, 994, 499, 1456, 311, 15508, 709, 13, 578, 1121, 374, 10671, 2288, 82893, 994, 433, 374, 892, 311, 15508, 709, 323, 19994, 5225, 994, 499, 1205, 311, 6212, 13, 2057, 636, 279, 1888, 2800, 304, 279, 11714, 11, 499, 1205, 311, 5766, 19428, 3177, 304, 279, 11714, 13, 7570, 779, 11, 994, 499, 15508, 709, 304, 27394, 11, 499, 690, 2103, 2733, 82893, 627, 791, 1888, 6425, 374, 311, 636, 264, 3756, 430, 649, 8356, 3177, 430, 53291, 279, 7160, 1139, 701, 14150, 13, 3861, 1778, 3177, 374, 279, 74603, 15508, 5352, 3177, 627, 30690, 3153, 15508, 5352, 3177, 19832, 198, 791, 74603, 15508, 5352, 3177, 374, 264, 1948, 4367, 323, 7701, 7524, 2027, 430, 5825, 499, 449, 2731, 907, 1109, 279, 5410, 17035, 51437, 13, 1102, 374, 539, 2307, 34348, 11, 719, 499, 649, 1505, 433, 520, 264, 5209, 31608, 3430, 13, 578, 2955, 315, 279, 29062, 374, 27545, 323, 31439, 11, 7231, 499, 279, 3072, 315, 1701, 433, 439, 459, 17035, 477, 5403, 96803, 29062, 627, 2181, 11193, 220, 24, 13, 24, 15271, 555, 220, 19, 13, 21, 15271, 555, 220, 24, 13, 17, 15271, 11, 3339, 433, 832, 315, 279, 8706, 15508, 5352, 3177, 50552, 304, 279, 3157, 13, 578, 29062, 374, 5115, 810, 12190, 1109, 499, 1053, 1755, 439, 433, 50542, 220, 18, 13, 21, 16701, 13, 7570, 2103, 11, 433, 706, 459, 15400, 2955, 323, 5992, 311, 387, 48494, 13, 578, 29062, 1587, 539, 1205, 904, 14956, 369, 433, 311, 734, 13, 8876, 433, 1587, 539, 617, 904, 54558, 20946, 477, 11602, 20946, 11, 499, 1193, 1205, 311, 20206, 304, 279, 29062, 311, 18200, 13, 8876, 433, 1587, 539, 617, 904, 5918, 3502, 11863, 11, 279, 17035, 1253, 9229, 1202, 15293, 994, 1070, 374, 912, 2410, 627, 2714, 1711, 279, 74603, 15508, 5352, 3177, 374, 1633, 4382, 13, 1472, 1176, 1205, 311, 1212, 555, 6376, 279, 892, 11, 902, 374, 1633, 4228, 311, 1373, 13, 1472, 649, 439, 1664, 6288, 1505, 279, 3185, 12706, 323, 2162, 3834, 12706, 13, 578, 3834, 12706, 2997, 279, 5130, 11, 264, 3373, 11, 5636, 323, 28382, 3215, 13, 578, 3185, 12706, 690, 3041, 499, 2585, 927, 279, 33306, 315, 279, 29062, 323, 279, 24342, 9063, 13, 9843, 499, 3577, 279, 5130, 11, 499, 649, 636, 2680, 311, 279, 21261, 315, 279, 3756, 11, 279, 63411, 11, 892, 11, 323, 10578, 627, 791, 29062, 706, 1403, 2204, 17035, 6067, 430, 499, 649, 14749, 311, 1005, 520, 2204, 3115, 13, 3861, 369, 279, 73095, 323, 832, 369, 279, 38102, 627, 54, 1802, 709, 1701, 279, 17035, 198, 32, 14964, 8331, 922, 279, 74603, 15508, 5352, 3177, 374, 430, 433, 13001, 709, 220, 508, 311, 220, 1272, 4520, 6931, 1603, 499, 15508, 709, 13, 1472, 527, 279, 832, 430, 7437, 279, 892, 13, 578, 13001, 27115, 1212, 449, 264, 5213, 2579, 37066, 11, 4857, 24151, 311, 19087, 11, 14071, 11, 323, 25270, 449, 264, 4251, 10107, 13, 2468, 420, 892, 11, 433, 8638, 311, 1514, 832, 315, 279, 436, 4910, 288, 430, 499, 617, 12146, 304, 264, 24729, 323, 2867, 5222, 13, 578, 17035, 4519, 4330, 8056, 43076, 430, 2997, 26, 93876, 11, 32889, 13863, 11, 74569, 27374, 11, 57628, 304, 279, 20585, 323, 12224, 5609, 13, 1472, 1101, 617, 279, 3072, 315, 5737, 701, 7075, 9063, 8216, 13, 1442, 499, 1390, 311, 66184, 91253, 11, 499, 1193, 1205, 311, 5916, 279, 1948, 315, 279, 3756, 11, 323, 279, 17035, 690, 66184, 91253, 369, 11888, 5066, 4520, 13, 12220, 420, 4261, 11, 499, 649, 61792, 304, 279, 3177, 430, 279, 29062, 19159, 323, 4774, 1063, 37471, 8935, 1603, 5616, 48728, 709, 13, 9843, 279, 66184, 91253, 892, 374, 709, 11, 279, 8286, 690, 5376, 1578, 11, 19054, 1376, 3428, 311, 1579, 13, 1472, 2646, 617, 311, 11196, 922, 279, 3177, 72389, 1113, 2533, 433, 4131, 505, 6617, 56672, 13, 578, 29062, 1587, 539, 25024, 264, 2763, 315, 2410, 13, 1102, 8779, 499, 3665, 389, 4907, 627, 12978, 287, 3161, 24708, 198, 2170, 279, 17035, 323, 3177, 649, 1520, 499, 15508, 709, 389, 892, 11, 279, 3177, 505, 279, 29062, 649, 439, 1664, 1520, 499, 6212, 18182, 323, 304, 9096, 13, 4718, 2547, 649, 5647, 422, 433, 374, 1938, 477, 3814, 13, 11115, 499, 617, 1027, 31526, 3177, 279, 4459, 1938, 11, 701, 2547, 8964, 994, 433, 374, 1938, 323, 690, 2567, 499, 35447, 3156, 433, 38207, 27394, 323, 3727, 499, 82893, 13, 12220, 420, 4261, 11, 1690, 1274, 527, 6118, 94791, 704, 2533, 814, 6996, 6212, 627, 791, 1920, 374, 1633, 4528, 311, 1268, 279, 3177, 4375, 994, 48728, 499, 709, 13, 4452, 11, 433, 374, 304, 10134, 13, 12361, 315, 279, 3177, 7859, 304, 33306, 11, 433, 690, 18979, 304, 21261, 11, 505, 264, 10107, 4251, 311, 459, 19087, 11, 323, 5616, 311, 264, 2579, 1603, 5213, 5424, 1022, 13, 1666, 433, 1587, 656, 11, 499, 649, 1101, 9020, 311, 832, 315, 279, 7855, 505, 279, 29062, 13, 12220, 420, 4261, 11, 701, 2547, 9221, 8010, 315, 279, 3177, 430, 374, 59617, 13, 1102, 11, 9093, 11, 5334, 5644, 369, 264, 3814, 315, 5655, 6212, 627, 4518, 9479, 25, 7252, 81835, 1789, 44055, 35567, 198, 13461, 3582, 279, 6156, 10096, 369, 279, 74603, 15508, 5352, 3177, 374, 311, 990, 439, 459, 17035, 11, 1070, 527, 1023, 4519, 430, 433, 706, 902, 499, 1253, 1505, 311, 387, 315, 8935, 13, 1789, 2937, 11, 279, 29062, 5727, 24342, 9063, 17357, 902, 499, 649, 1005, 311, 9020, 311, 701, 7075, 9063, 8216, 13, 1102, 11, 4869, 11, 1587, 539, 617, 904, 54558, 20946, 477, 11602, 13, 1472, 649, 1101, 1005, 279, 29062, 439, 264, 2592, 315, 5403, 3177, 13, 3296, 43468, 279, 2237, 315, 33306, 311, 220, 508, 11, 499, 690, 1505, 279, 1314, 33306, 8335, 2085, 3515, 311, 26800, 701, 6548, 13, 1472, 649, 1101, 2035, 433, 389, 701, 96803, 311, 1180, 439, 264, 3814, 3177, 719, 389, 264, 3428, 3177, 6376, 13, 578, 3430, 4877, 389, 279, 29062, 374, 5115, 1579, 13, 2030, 994, 499, 2980, 682, 279, 7720, 430, 433, 374, 12967, 311, 279, 2007, 11, 433, 374, 5922, 279, 3430, 627, 85423, 315, 279, 74603, 15508, 5352, 3177, 198, 12, 578, 29062, 690, 1520, 499, 15508, 709, 8430, 45955, 13, 1472, 912, 5129, 617, 311, 8209, 449, 294, 1849, 1918, 1475, 892, 430, 499, 15508, 709, 627, 12, 1102, 690, 1520, 5376, 701, 20545, 2410, 627, 12, 1102, 5829, 4367, 55090, 430, 527, 54799, 311, 279, 2487, 430, 499, 9020, 311, 994, 48728, 709, 198, 12, 1102, 8779, 311, 636, 9463, 315, 279, 33147, 311, 733, 1203, 323, 6212, 198, 12, 1102, 706, 4519, 430, 527, 4228, 311, 14816, 627, 12, 1472, 649, 1005, 279, 29062, 311, 1520, 499, 6212, 10819, 422, 499, 2733, 311, 387, 1672, 316, 7907, 582, 198, 12, 1102, 1587, 539, 25024, 264, 2763, 315, 2410, 16472, 4907, 11297, 198, 12, 578, 29062, 5829, 56672, 430, 656, 539, 4984, 264, 2763, 315, 8798, 627, 12, 1472, 649, 9020, 311, 279, 9063, 422, 499, 656, 539, 1093, 279, 5222, 50424, 430, 527, 369, 279, 3756, 198, 12, 1472, 649, 11, 9093, 11, 4498, 33173, 18182, 323, 45769, 627, 12, 3277, 499, 5916, 279, 29062, 33484, 994, 433, 374, 4401, 11, 433, 690, 7214, 1212, 66184, 9700, 287, 369, 11888, 4520, 627, 7816, 922, 279, 74603, 15508, 5352, 3177, 198, 2746, 499, 23781, 7831, 505, 18710, 477, 20247, 4814, 11, 279, 74603, 15508, 5352, 3177, 649, 656, 459, 9250, 2683, 304, 4602, 4954, 499, 323, 19054, 1057, 20247, 13, 1789, 1690, 1274, 11, 20247, 4814, 13980, 2391, 12688, 4245, 311, 279, 4814, 315, 279, 7160, 13, 4452, 11, 279, 74603, 15508, 5352, 3177, 3698, 1900, 420, 555, 1675, 15853, 279, 7160, 1555, 17843, 19087, 323, 2579, 82757, 430, 9616, 311, 430, 315, 264, 64919, 627, 2746, 499, 527, 16066, 505, 18710, 11, 499, 1288, 1101, 2980, 4737, 810, 1957, 11, 1778, 439, 4737, 389, 328, 1846, 6437, 3177, 15419, 13, 578, 3177, 374, 7701, 7524, 389, 264, 3177, 83647, 439, 433, 62667, 1124, 323, 13912, 1124, 81471, 323, 4602, 1534, 13, 15483, 7720, 1253, 539, 3621, 369, 264, 8987, 83647, 13, 1115, 15419, 3177, 374, 8967, 311, 387, 279, 14039, 369, 701, 7528, 9042, 13, 578, 46912, 706, 264, 5916, 4264, 7479, 449, 264, 1664, 9621, 7528, 9042, 13, 1442, 499, 1390, 264, 26733, 1648, 499, 649, 15508, 5352, 11, 279, 74603, 15508, 5352, 3177, 374, 701, 1888, 3072, 13, 1472, 1193, 1205, 311, 743, 264, 892, 311, 636, 709, 304, 279, 6693, 11, 323, 279, 29062, 27115, 11705, 459, 21075, 64919, 13, 1442, 499, 656, 539, 2733, 1093, 16448, 4216, 11, 499, 649, 5916, 12660, 389, 279, 29062, 11, 323, 433, 690, 9651, 66184, 91253, 627, 3923, 1023, 2019, 512, 48349, 2763, 315, 1274, 2873, 311, 387, 42126, 922, 279, 6996, 315, 8286, 2585, 719, 433, 753, 539, 520, 682, 2487, 2320, 1291, 6253, 13, 358, 617, 912, 11011, 27129, 323, 279, 8286, 3250, 1431, 20753, 757, 13, 1442, 1070, 753, 459, 4360, 449, 279, 8286, 11, 2500, 1217, 12090, 259, 14550, 24428, 37095, 311, 433, 4235, 20069, 4560, 704, 49216, 93, 28237, 88770, 198, 2118, 26926, 36270, 6883, 836, 15508, 709, 3177, 13, 358, 1120, 4934, 279, 15508, 709, 3177, 4668, 323, 3287, 1431, 1390, 311, 1464, 856, 15435, 13, 1102, 4131, 449, 47384, 734, 902, 374, 264, 5636, 13, 10541, 358, 1005, 8339, 38906, 311, 743, 709, 856, 1866, 17035, 49216, 93, 28326, 386, 455, 198, 791, 74603, 15508, 5352, 3177, 264, 1695, 3072, 369, 5403, 26, 4869, 11, 1202, 3177, 374, 539, 50197, 307, 45770, 13, 1472, 690, 1101, 1505, 264, 2653, 892, 311, 2543, 1022, 279, 41674, 5352, 3177, 2533, 279, 29062, 1587, 539, 88682, 1202, 12706, 430, 527, 520, 279, 1948, 315, 279, 29062, 1120, 4920, 279, 46912, 13, 1472, 1253, 1397, 311, 1005, 2500, 29062, 311, 1518, 279, 12706, 430, 499, 1390, 13, 578, 1455, 7185, 2766, 922, 279, 3177, 374, 279, 2579, 40140, 430, 433, 19159, 430, 1675, 24031, 279, 44084, 13, 3296, 2068, 287, 264, 46836, 11714, 11, 499, 527, 20646, 701, 2547, 311, 2733, 82893, 11, 902, 690, 13967, 3063, 311, 499, 21811, 10819, 13, 578, 3177, 389, 279, 56454, 41988, 3156, 433, 5900, 1022, 13, 578, 3130, 9221, 40130, 11, 323, 6212, 9221, 31352, 13, 3277, 499, 1390, 311, 15508, 709, 4216, 11, 499, 617, 311, 743, 279, 9198, 389, 279, 29062, 13, 3277, 433, 5334, 311, 6693, 11, 279, 29062, 991, 24031, 264, 64919, 1405, 279, 29062, 8638, 18186, 449, 264, 5213, 2579, 3177, 12222, 433, 19159, 264, 2307, 10107, 4251, 3177, 627, 4518, 9479, 25, 27508, 8828, 40143, 42277, 6401, 39195, 198, 8538, 7252, 54820, 41674, 47197, 8828, 1952, 8339, 25 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 54, 33362, 220, 1758, 220, 679, 20, 198, 62148, 12, 6658, 12, 76155, 7058, 25696, 315, 279, 10563, 198, 2028, 10563, 11, 220, 1049, 18, 198, 576, 2046, 11, 220, 1049, 19, 198, 55519, 97703, 11, 420, 2046, 11, 220, 1049, 20, 198, 55519, 97703, 11, 1115, 10563, 11, 220, 1049, 21, 198, 55519, 97703, 11, 1115, 10563, 11, 220, 1049, 22, 198, 55519, 97703, 11, 1115, 10563, 11, 220, 1049, 23, 198, 55519, 97703, 11, 1115, 10563, 11, 220, 1049, 24, 198, 55519, 97703, 11, 1115, 10563, 11, 220, 679, 15, 198, 34774, 482, 2876, 1790, 311, 2019, 13, 16782, 4106, 11, 3582, 198, 1962, 5115, 439, 32236, 398, 439, 279, 1566, 5743, 315, 2919, 627, 2688, 1790, 311, 2019, 482, 358, 1550, 1063, 82569, 304, 279, 6693, 11, 28822, 709, 264, 2766, 2212, 198, 1820, 3838, 11, 1550, 35189, 13, 14910, 1063, 5403, 304, 279, 13658, 627, 35720, 482, 8166, 1578, 11, 220, 6849, 37, 198, 33912, 398, 11, 220, 5120, 37, 389, 856, 32278, 13, 1115, 374, 922, 279, 1890, 439, 13985, 11, 719, 279, 198, 94146, 706, 1922, 418, 709, 1139, 279, 27294, 323, 279, 264, 2971, 5828, 956, 3318, 439, 1664, 13, 3296, 198, 22928, 13658, 433, 574, 1664, 927, 220, 1490, 37, 709, 304, 279, 5274, 323, 358, 33085, 1022, 369, 198, 40, 574, 3025, 11, 555, 4401, 279, 264, 2971, 31978, 389, 1579, 11, 311, 2567, 433, 520, 220, 1490, 37, 198, 2996, 31234, 13, 358, 3779, 2500, 79379, 7090, 358, 1047, 2212, 311, 279, 10007, 64406, 198, 74, 7606, 3321, 320, 1820, 3838, 374, 1457, 19073, 264, 26457, 570, 2468, 220, 24, 5298, 433, 574, 2103, 198, 2017, 220, 1954, 37, 4994, 627, 13622, 398, 358, 1373, 16433, 6392, 304, 279, 13658, 482, 1701, 364, 13178, 518, 31257, 5952, 12509, 345, 258, 20624, 23395, 6392, 11, 323, 1268, 311, 10489, 4305, 674, 35832, 82, 304, 198, 79406, 7813, 13, 480, 1494, 20990, 13, 358, 574, 3025, 311, 2231, 279, 11041, 2373, 315, 279, 2447, 198, 18614, 364, 13178, 518, 14470, 4228, 3131, 499, 636, 264, 15326, 22237, 323, 264, 15372, 198, 5624, 11, 323, 433, 5084, 311, 990, 5509, 13, 2876, 430, 358, 1436, 2216, 1296, 433, 11, 439, 433, 574, 198, 4345, 2288, 4106, 304, 279, 5274, 311, 990, 304, 1070, 627, 4438, 311, 656, 2574, 374, 264, 2766, 1097, 16751, 788, 311, 757, 1314, 1457, 11, 719, 279, 3245, 922, 198, 258, 20624, 23395, 374, 311, 2187, 279, 8141, 315, 264, 330, 43, 6119, 1, 2373, 11, 430, 198, 4312, 649, 14234, 311, 264, 330, 8201, 926, 3343, 578, 24811, 374, 430, 420, 374, 279, 1888, 1648, 311, 198, 2880, 12117, 24035, 323, 6763, 627, 1383, 1701, 459, 5993, 35832, 1, 499, 649, 743, 3738, 2574, 389, 51906, 304, 356, 323, 55389, 7813, 345, 438, 832, 315, 1884, 2574, 649, 387, 5990, 11, 902, 527, 743, 555, 264, 5292, 304, 279, 69735, 198, 1213, 430, 279, 1217, 649, 956, 5719, 198, 17411, 412, 87438, 813, 3756, 570, 578, 2883, 649, 198, 35153, 279, 69735, 1052, 1701, 8325, 596, 198, 258, 20624, 16346, 11, 311, 2349, 279, 5292, 505, 364, 43, 6119, 6, 311, 364, 8201, 926, 24482, 3112, 364, 13178, 518, 439, 1664, 439, 8405, 2373, 2585, 11, 1288, 2187, 757, 311, 1296, 279, 198, 64750, 364, 46647, 518, 602, 1770, 2637, 24397, 4893, 627, 3112, 1070, 596, 264, 8821, 364, 15181, 6, 499, 4232, 369, 304, 20624, 6392, 11, 323, 198, 6648, 11, 323, 10283, 315, 420, 323, 430, 13, 2052, 2103, 14470, 25420, 11, 719, 1274, 656, 198, 275, 11, 779, 433, 596, 656, 481, 627, 7280, 674, 3391, 574, 578, 198, 19249, 8525, 315, 90895, 2439, 11, 555, 3842, 356, 13, 27839, 13, 3639, 311, 2019, 30, 1115, 7564, 6835, 198, 596, 1330, 43516, 6, 264, 4459, 502, 85152, 13, 1115, 374, 279, 11999, 2363, 304, 279, 4101, 198, 438, 27839, 374, 2103, 100082, 1022, 810, 502, 86569, 11, 32538, 323, 6848, 198, 54895, 1455, 12283, 656, 304, 872, 4553, 7076, 627, 8538, 364, 42450, 20075, 6, 6392, 430, 11, 8206, 3725, 11, 358, 1541, 956, 2216, 1833, 11, 505, 198, 9274, 264, 2046, 4227, 627, 644, 264, 4856, 15234, 2543, 315, 4455, 27839, 574, 14132, 65397, 555, 813, 1866, 198, 52291, 420, 1060, 13, 8611, 11, 813, 21959, 11, 706, 1047, 872, 3229, 596, 3243, 279, 198, 3236, 398, 364, 39, 34601, 17768, 6, 369, 7252, 10170, 43754, 12598, 98037, 1475, 1060, 369, 279, 1566, 198, 508, 10, 1667, 13, 5046, 3389, 1521, 26526, 617, 1027, 14470, 14224, 264, 31205, 198, 20523, 72227, 51680, 13, 35272, 76879, 11, 323, 11223, 264, 51680, 315, 198, 1, 6387, 54268, 1, 477, 330, 820, 1742, 1, 16483, 11, 2737, 27839, 11, 264, 36666, 198, 34, 96430, 13, 1115, 9057, 264, 6908, 97932, 277, 627, 791, 7185, 3245, 922, 279, 23146, 374, 430, 5606, 649, 88400, 323, 7055, 345, 300, 1317, 439, 499, 2351, 264, 12798, 4562, 315, 279, 8198, 17422, 8396, 13, 5112, 11, 1855, 198, 3236, 11, 279, 94665, 596, 520, 279, 4435, 10170, 43754, 26958, 320, 6540, 80686, 420, 198, 3236, 8, 636, 311, 7055, 389, 279, 13946, 4315, 279, 29311, 596, 304, 5370, 11306, 18722, 2000, 2500, 11307, 627, 2028, 1060, 11, 994, 23146, 892, 3782, 264, 2046, 477, 779, 4227, 11, 279, 15692, 330, 60765, 198, 47, 95847, 1, 51680, 574, 10213, 6689, 1523, 13, 2030, 433, 574, 9539, 264, 7234, 482, 279, 991, 71696, 198, 16514, 304, 389, 433, 323, 6197, 264, 69002, 13734, 304, 902, 279, 26391, 596, 14896, 364, 2822, 198, 90640, 6, 4856, 1109, 10292, 198, 998, 279, 1274, 430, 279, 7359, 520, 3544, 1047, 4183, 13, 1628, 279, 1396, 198, 1073, 1274, 16043, 364, 2201, 10292, 6, 574, 1071, 311, 387, 4661, 7041, 220, 17, 11, 2636, 482, 4661, 439, 198, 333, 4423, 11, 2019, 264, 21959, 449, 264, 79051, 2802, 304, 26991, 279, 198, 675, 2402, 11, 1047, 7318, 1124, 311, 7055, 430, 1648, 9522, 3112, 27839, 574, 832, 315, 1884, 12283, 9495, 704, 627, 40, 1541, 956, 1440, 11, 358, 5828, 956, 1070, 11, 323, 358, 9167, 956, 1027, 311, 264, 24360, 21977, 2533, 198, 68534, 13, 1102, 5084, 12703, 311, 1518, 264, 2523, 323, 71414, 3245, 50500, 11, 719, 358, 8101, 198, 1544, 6287, 220, 679, 20, 198, 26840, 4106, 11, 922, 220, 5120, 37, 4184, 311, 856, 32278, 93297, 13, 3011, 14473, 11, 358, 198, 329, 1800, 11, 8640, 4106, 555, 922, 220, 20, 12628, 449, 5201, 311, 330, 33912, 1, 20472, 345, 8370, 574, 922, 220, 6849, 37, 13, 358, 2846, 539, 2771, 3508, 433, 374, 304, 2144, 5076, 11, 477, 433, 596, 856, 198, 2497, 10182, 4401, 8369, 3189, 83, 279, 17149, 13, 763, 904, 1162, 433, 596, 1027, 264, 1317, 4106, 198, 10476, 11, 323, 433, 4536, 956, 671, 1113, 3686, 9522, 40, 3287, 956, 636, 704, 369, 856, 4321, 11, 1306, 3794, 709, 3389, 13, 56096, 11, 477, 7344, 264, 198, 71, 3043, 389, 7884, 304, 279, 24405, 627, 11663, 1109, 430, 11, 1120, 3318, 389, 279, 917, 13, 358, 98713, 398, 4024, 1555, 279, 198, 1889, 323, 1766, 279, 10077, 505, 13985, 13, 358, 2216, 1205, 311, 636, 91192, 2133, 345, 69666, 311, 2082, 304, 1778, 264, 11827, 430, 499, 649, 82610, 264, 1938, 596, 4442, 555, 1450, 198, 285, 5128, 66838, 627, 40, 1550, 264, 5743, 315, 2574, 449, 2217, 470, 2792, 287, 11, 311, 330, 11912, 704, 1, 5596, 315, 1063, 198, 3726, 323, 1097, 5128, 20097, 449, 430, 627, 11649, 11, 539, 2216, 13, 358, 2846, 470, 2792, 287, 520, 922, 4848, 477, 8254, 7634, 304, 279, 2082, 345, 8370, 374, 75082, 6725, 11, 3582, 1524, 856, 2362, 23067, 17, 12035, 649, 656, 433, 13, 2100, 358, 198, 53757, 311, 18622, 279, 4459, 2217, 11850, 3245, 11, 1606, 433, 1053, 1243, 2187, 198, 2727, 311, 18622, 279, 31257, 18324, 961, 323, 704, 40903, 279, 220, 20, 1060, 79573, 9522, 40, 4265, 1205, 264, 29996, 311, 19128, 279, 11041, 5448, 4619, 315, 279, 198, 10090, 11, 323, 2082, 387, 3025, 311, 1373, 279, 2385, 5448, 323, 3665, 11041, 198, 29390, 3131, 304, 264, 13643, 198, 18135, 369, 1475, 2543, 1603, 1514, 627, 46300, 77431, 5304, 31649, 9522, 5159, 4333, 350, 1047, 9932, 279, 1023, 1938, 430, 279, 6945, 315, 279, 2046, 574, 6908, 512, 37227, 2466, 311, 5052, 389, 279, 4264, 13, 47193, 358, 1766, 430, 433, 574, 220, 4278, 19, 87, 3965, 15, 1804, 13, 473, 12825, 627, 4516, 358, 59649, 433, 311, 279, 13783, 220, 4728, 87, 627, 41619, 220, 1627, 6287, 198, 41619, 482, 12310, 11758, 4762, 11, 719, 198, 43296, 287, 1022, 4216, 11, 4245, 311, 1063, 1579, 30614, 627, 40, 6575, 389, 279, 917, 1455, 315, 279, 1938, 11, 1903, 1063, 5208, 11, 1243, 1903, 264, 16930, 198, 438, 6818, 311, 1005, 364, 15359, 6, 1578, 311, 11993, 13, 1628, 7846, 956, 13, 3639, 264, 12571, 315, 198, 1712, 13, 358, 649, 1518, 279, 16694, 11, 719, 358, 649, 956, 7637, 433, 369, 1063, 2944, 1131, 358, 198, 52851, 358, 1205, 311, 1935, 264, 5743, 315, 2919, 323, 4048, 364, 13178, 4527, 358, 1511, 311, 1440, 364, 82, 641, 82, 198, 438, 364, 1310, 82, 518, 779, 7344, 433, 2834, 956, 387, 2288, 1790, 892, 323, 5149, 627, 2181, 40199, 11, 1606, 358, 4265, 11798, 264, 4459, 15860, 315, 4442, 323, 4934, 311, 198, 47530, 264, 2373, 311, 328, 311, 1296, 704, 389, 7950, 13, 8840, 1664, 627, 644, 279, 11714, 584, 4024, 927, 311, 279, 6762, 482, 856, 4333, 10862, 1077, 272, 640, 2053, 323, 198, 906, 682, 15746, 279, 50790, 13, 2684, 1051, 264, 2763, 315, 10925, 369, 264, 4321, 5352, 198, 79123, 482, 11888, 11, 719, 1364, 9277, 4948, 304, 264, 5128, 15022, 15860, 13, 1226, 198, 4150, 709, 449, 1063, 1023, 4885, 323, 82294, 2212, 323, 7111, 520, 6392, 627, 40, 5616, 2751, 856, 6762, 14095, 5679, 11, 779, 358, 2846, 6380, 9522, 7778, 3389, 323, 304, 4950, 520, 220, 605, 25, 966, 11, 34325, 323, 22655, 19781, 627, 7280, 674, 2983, 574, 22620, 198, 24284, 11, 555, 11641, 2030, 9211, 13, 1115, 574, 279, 1176, 304, 279, 14253, 86545, 4101, 345, 64, 364, 11710, 1039, 304, 6617, 10780, 6, 18884, 3169, 315, 25551, 69981, 3529, 13478, 535, 56662, 11, 719, 198, 4012, 13, 358, 1781, 433, 574, 30464, 369, 279, 2678, 4264, 323, 10837, 389, 6007, 369, 264, 3280, 198, 269, 1403, 13, 2684, 527, 264, 15860, 315, 11506, 2053, 304, 279, 1887, 11, 719, 358, 1047, 311, 636, 198, 2295, 53521, 11941, 311, 3708, 757, 279, 1193, 3048, 430, 279, 4553, 13256, 6406, 198, 18556, 1047, 315, 279, 1176, 2363, 11, 264, 86831, 78928, 41299, 482, 6433, 3950, 398, 433, 4295, 220, 1041, 37, 11, 719, 1070, 198, 16514, 264, 9624, 9722, 323, 433, 3287, 956, 2216, 2733, 1093, 433, 627, 40, 3952, 856, 1317, 4321, 304, 279, 6693, 11, 220, 24, 10, 8931, 11, 323, 1418, 856, 7693, 13194, 389, 198, 693, 1070, 1051, 912, 1529, 9487, 323, 358, 5828, 956, 47447, 389, 279, 27240, 27905, 627, 791, 30614, 323, 23900, 6693, 20472, 320, 40, 11224, 520, 220, 21, 25, 966, 309, 8, 9087, 264, 2763, 345, 438, 358, 1047, 459, 8244, 18338, 315, 922, 220, 18, 56102, 11, 5128, 1695, 627, 12487, 433, 574, 917, 990, 11, 4560, 311, 636, 279, 31257, 15324, 311, 1518, 1403, 198, 15124, 495, 18133, 53492, 11, 323, 4305, 1124, 304, 264, 3738, 2015, 13, 11481, 261, 1109, 358, 198, 36339, 482, 8817, 1725, 304, 279, 3428, 220, 1041, 596, 13, 2876, 2288, 3958, 627, 7009, 527, 5605, 1070, 374, 264, 8798, 12330, 304, 3637, 369, 16642, 7188, 420, 198, 85444, 574, 10213, 3815, 82569, 430, 3287, 956, 636, 2884, 927, 279, 9178, 627, 6153, 12684, 574, 990, 389, 279, 917, 627, 37165, 482, 8166, 304, 66223, 11, 927, 220, 1041, 37, 11, 719, 584, 198, 52898, 1523, 304, 15013, 27286, 11, 1405, 433, 574, 23900, 11, 7344, 220, 5313, 37, 627, 791, 24074, 5424, 574, 6555, 11, 323, 814, 3077, 743, 709, 279, 64470, 36001, 1457, 11, 779, 198, 93057, 25, 45518, 323, 10877, 11, 706, 28601, 13, 578, 24521, 44935, 388, 1051, 198, 309, 2656, 520, 279, 991, 71696, 596, 506, 22780, 811, 311, 279, 13734, 311, 330, 13397, 95831, 304, 420, 198, 20559, 3343, 220, 5313, 37, 374, 279, 93744, 198, 35658, 304, 66223, 9522 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 27671, 323, 6425, 315, 12414, 6987, 383, 8060, 304, 1901, 3524, 89, 17156, 526, 198, 27671, 323, 6425, 315, 12414, 6987, 383, 8060, 304, 1901, 3524, 89, 17156, 526, 7557, 45206, 3623, 2637, 12604, 627, 57, 3524, 89, 17156, 526, 7557, 45206, 3623, 2637, 12604, 13, 21935, 2294, 6666, 311, 279, 8990, 323, 6492, 315, 279, 8060, 315, 60797, 12414, 6987, 383, 13, 578, 69771, 315, 12414, 6987, 383, 374, 264, 1633, 9200, 6566, 13, 578, 2768, 1288, 387, 2884, 512, 16, 13, 763, 71194, 1139, 279, 8990, 3277, 12588, 279, 2038, 389, 279, 5780, 2816, 1405, 279, 14867, 374, 2631, 311, 387, 34373, 11, 279, 5793, 1288, 1176, 387, 2631, 311, 10519, 279, 389, 29654, 14867, 1614, 439, 1790, 439, 3284, 11, 2085, 904, 6514, 11, 902, 374, 24629, 311, 6288, 323, 30357, 24564, 279, 5353, 315, 279, 14867, 13, 2468, 279, 1890, 892, 11, 15884, 68270, 922, 279, 14867, 28137, 6671, 11, 279, 14867, 13340, 323, 279, 4092, 315, 279, 14867, 11, 323, 1304, 264, 33269, 19971, 28178, 311, 8417, 279, 7526, 11, 24198, 11, 38940, 323, 7384, 11, 24804, 5596, 11, 5099, 13, 430, 1288, 387, 11953, 389, 279, 2816, 311, 8108, 279, 4883, 10398, 575, 892, 627, 17, 13, 4740, 279, 389, 29654, 26767, 30782, 520, 279, 6237, 11, 279, 13708, 323, 80414, 315, 279, 5370, 4787, 3984, 555, 279, 5793, 2011, 1176, 387, 24884, 311, 10356, 279, 13708, 315, 279, 33269, 19971, 13, 24586, 311, 279, 2237, 315, 279, 5793, 11, 1070, 527, 1690, 5157, 1405, 279, 14867, 3044, 374, 25420, 477, 1524, 6724, 50504, 13, 15636, 11, 1306, 2133, 311, 279, 6237, 11, 656, 539, 13270, 311, 3790, 433, 11, 323, 312, 10397, 20588, 279, 6671, 15884, 311, 5766, 5674, 311, 279, 6237, 323, 5376, 279, 17250, 315, 69771, 13, 220, 18, 13, 60249, 18825, 10771, 311, 279, 3967, 14867, 4787, 11, 279, 14867, 24790, 374, 30239, 4184, 311, 279, 14867, 24790, 1749, 7633, 304, 279, 3766, 3857, 11, 779, 439, 311, 8417, 279, 17966, 315, 69771, 13, 8876, 1455, 57790, 527, 16717, 11, 304, 4689, 11, 279, 60797, 1887, 15439, 11630, 323, 7754, 11630, 369, 279, 5780, 5507, 649, 387, 1511, 311, 1160, 279, 5370, 3284, 11384, 315, 279, 14867, 13, 220, 19, 13, 31001, 279, 5353, 311, 19874, 264, 8205, 315, 3284, 11384, 311, 1505, 704, 279, 1972, 5353, 315, 279, 8060, 11, 1243, 279, 13709, 17274, 374, 264, 16195, 1296, 315, 279, 5780, 71540, 11, 6677, 2237, 11, 15325, 3217, 323, 44064, 19971, 627, 20, 13, 42782, 65, 51340, 5528, 369, 69771, 1253, 387, 4382, 13, 4427, 57790, 527, 3629, 17395, 323, 1397, 264, 4101, 315, 47979, 11, 1778, 439, 18459, 315, 7526, 323, 20645, 11, 7276, 834, 15343, 11, 13023, 315, 6956, 11, 53678, 315, 6956, 11, 323, 1524, 578, 55986, 315, 279, 69771, 7504, 323, 779, 389, 627, 791, 1920, 315, 8990, 11, 6492, 323, 23842, 315, 279, 14867, 315, 279, 20314, 1887, 315, 279, 60797, 12414, 6987, 383, 374, 1101, 279, 1920, 315, 69771, 13, 9843, 279, 5353, 374, 11054, 11, 279, 14867, 374, 4661, 6273, 311, 279, 44032, 13, 15636, 11, 279, 1749, 315, 14867, 6492, 323, 23842, 9221, 1633, 3062, 13, 578, 4279, 15439, 5528, 369, 20314, 57790, 527, 10212, 3770, 627, 16, 13, 20796, 26767, 1749, 1115, 374, 279, 1749, 430, 2011, 387, 1511, 520, 279, 7314, 315, 279, 8060, 6492, 11, 430, 374, 11, 279, 1005, 315, 49069, 26767, 627, 27264, 279, 14867, 2816, 17274, 311, 15884, 68270, 922, 279, 1920, 11, 14867, 11341, 323, 8060, 16296, 315, 279, 14867, 11, 323, 1253, 2610, 5361, 3115, 2391, 279, 4553, 6492, 323, 19971, 1920, 627, 3198, 1870, 1817, 3508, 279, 3318, 2704, 315, 1855, 961, 315, 279, 5780, 5507, 374, 304, 264, 4725, 1614, 320, 21470, 439, 1855, 16580, 8183, 2361, 11, 99291, 1614, 11, 5507, 14756, 11, 12585, 2361, 11, 5099, 25390, 323, 3508, 1855, 14683, 2585, 3756, 320, 21470, 439, 60797, 1887, 11, 9499, 2585, 3756, 11, 54494, 367, 3756, 11, 5099, 6266, 706, 578, 17035, 15151, 430, 279, 961, 374, 62884, 369, 8276, 50440, 11, 279, 6956, 527, 50440, 11, 43939, 11, 279, 36108, 323, 37172, 527, 45017, 11, 323, 279, 2361, 315, 1855, 10565, 3777, 374, 4495, 477, 539, 627, 11561, 649, 387, 1766, 1234, 279, 3044, 315, 2410, 8060, 315, 279, 4459, 5780, 555, 31687, 279, 14028, 2704, 315, 1855, 1925, 16622, 4580, 11, 279, 628, 36368, 2704, 315, 1855, 20206, 11, 279, 3717, 2704, 315, 1855, 2410, 323, 8450, 36108, 320, 21470, 439, 59412, 323, 9048, 3729, 269, 19358, 705, 5099, 13, 274, 2944, 627, 15335, 10539, 3445, 430, 279, 2410, 374, 6656, 389, 304, 2015, 311, 1817, 369, 16603, 11, 4027, 11, 35663, 5222, 11, 54097, 11, 323, 9546, 477, 19821, 315, 72389, 1113, 315, 279, 9048, 323, 6956, 627, 17, 13, 43405, 26767, 1749, 1701, 21349, 20314, 24198, 198, 2520, 1855, 1912, 315, 10807, 323, 11162, 2410, 8312, 16798, 1154, 11, 6767, 279, 9959, 11162, 323, 28334, 17738, 11, 323, 1505, 3284, 57790, 13, 1789, 3187, 11, 1005, 264, 2814, 26402, 311, 1817, 279, 2704, 315, 1855, 2410, 8312, 11, 323, 6767, 279, 9959, 8450, 1614, 19179, 3585, 743, 389, 1063, 21126, 13, 5560, 459, 32047, 66037, 2474, 311, 23846, 279, 45209, 11, 10474, 11, 477, 1524, 279, 9959, 70725, 8450, 13, 5560, 279, 70452, 48888, 311, 1505, 279, 70452, 2068, 13, 578, 3813, 323, 5353, 315, 279, 14867, 627, 18, 13, 48224, 950, 2585, 12414, 6987, 383, 8450, 323, 17035, 28137, 6492, 1749, 220, 21, 12035, 17035, 28137, 1115, 19813, 311, 5370, 5415, 323, 14867, 34824, 389, 5370, 14683, 323, 20314, 7766, 2737, 35876, 2585, 1887, 323, 59412, 1887, 11, 11093, 449, 21070, 2704, 323, 12435, 578, 734, 4096, 649, 387, 1511, 311, 1440, 279, 8970, 315, 279, 11470, 323, 279, 11384, 323, 69771, 5528, 13, 578, 3241, 17035, 15151, 430, 279, 57790, 304, 279, 1887, 3241, 11, 70452, 2068, 323, 98423, 2068, 439, 7633, 3485, 527, 6118, 3984, 449, 459, 17035, 3113, 13, 578, 3284, 14867, 11384, 323, 69771, 5528, 649, 387, 12457, 555, 27393, 279, 12882, 17035, 5219, 449, 279, 12435, 15439, 11470, 11630, 627, 19, 13, 20620, 2704, 1817, 1749, 198, 49552, 60797, 6067, 32172, 70452, 82, 304, 1124, 11, 323, 60797, 323, 70452, 19570, 449, 1855, 1023, 304, 264, 4101, 315, 3834, 17738, 13, 4427, 57790, 527, 5552, 311, 3834, 8450, 6103, 477, 4814, 13, 4427, 315, 1521, 3834, 17738, 649, 387, 12882, 389, 279, 12435, 3834, 4580, 323, 1988, 48116, 4580, 11, 323, 1063, 649, 387, 12882, 389, 279, 96134, 4264, 555, 4382, 5784, 11, 323, 682, 25066, 578, 8450, 649, 387, 2663, 709, 449, 279, 70452, 48888, 13, 1115, 26767, 1749, 7612, 279, 13709, 17274, 311, 387, 11537, 449, 279, 3834, 17738, 315, 279, 5780, 323, 311, 387, 11537, 449, 279, 3851, 315, 279, 70452, 48888, 627, 20, 13, 15521, 28174, 1749, 198, 34, 10153, 12414, 6987, 383, 60797, 1887, 11, 70452, 323, 59412, 6678, 1887, 527, 19167, 449, 1690, 1491, 23444, 5137, 311, 3449, 279, 8670, 315, 2204, 5780, 7526, 323, 2204, 3318, 4787, 13, 4314, 5137, 539, 1193, 2489, 279, 20314, 1887, 311, 279, 3230, 5780, 11, 719, 527, 1101, 5995, 311, 30536, 279, 5780, 596, 5865, 627, 55915, 11, 904, 2349, 304, 5137, 320, 36046, 24291, 5137, 8, 477, 1524, 4814, 374, 539, 5535, 26, 323, 4442, 304, 22936, 477, 20314, 6012, 9057, 555, 1317, 9860, 5784, 315, 279, 4288, 4950, 690, 1464, 279, 2926, 12864, 1614, 323, 26329, 1614, 13, 1115, 955, 315, 14867, 19813, 311, 279, 15629, 955, 315, 14867, 304, 279, 14867, 24790, 3857, 11, 323, 3966, 311, 387, 312, 60684, 291, 311, 832, 477, 810, 5137, 311, 387, 28544, 13, 1115, 1749, 374, 1633, 26192, 369, 13709, 17274, 13, 1102, 374, 539, 1193, 5995, 311, 1440, 279, 1925, 5137, 315, 279, 3230, 1887, 11, 719, 1101, 8964, 430, 1202, 2686, 374, 11537, 449, 1202, 734, 11, 323, 433, 706, 9257, 3217, 304, 20314, 28803, 627, 21, 13, 96305, 5596, 14039, 1749, 198, 4599, 279, 14867, 6492, 3135, 527, 38626, 389, 264, 3738, 17124, 16622, 4580, 11, 433, 374, 1633, 5107, 311, 4305, 279, 14867, 389, 264, 3738, 3158, 477, 1524, 264, 3738, 3777, 4245, 311, 279, 19815, 14800, 315, 279, 16622, 18052, 13, 763, 2015, 311, 8108, 279, 75954, 11, 279, 1890, 374, 837, 13, 9636, 279, 3044, 315, 24804, 5596, 11, 499, 649, 8454, 279, 24804, 5596, 1176, 11, 323, 1243, 1817, 279, 13023, 14867, 4580, 13, 11728, 6666, 311, 279, 2768, 5435, 994, 25935, 279, 24804, 5596, 4580, 13, 5884, 14039, 315, 24804, 5596, 2011, 387, 11953, 704, 304, 279, 1567, 315, 264, 2410, 8060, 627, 8607, 17124, 16622, 21126, 617, 1063, 32267, 477, 2875, 287, 16283, 311, 2489, 279, 5150, 3966, 13, 15636, 11, 433, 374, 5995, 311, 3335, 279, 4113, 3480, 2361, 323, 6376, 1614, 389, 279, 14039, 24804, 4580, 323, 1304, 279, 502, 4580, 279, 1890, 13, 10619, 11, 6062, 459, 17035, 690, 387, 8066, 323, 433, 690, 539, 990, 13, 4427, 17124, 16622, 4580, 54155, 1101, 1397, 1063, 3230, 7677, 1306, 14039, 311, 4686, 279, 3241, 323, 5137, 13, 1115, 7612, 16994, 5403, 315, 279, 11470, 369, 279, 8475, 4580, 13, 4427, 17124, 16622, 21126, 4250, 387, 6847, 7108, 11, 1778, 439, 21126, 449, 3318, 5044, 11, 477, 24804, 21988, 11, 902, 649, 9229, 5505, 5137, 477, 7620, 13, 1472, 2011, 1833, 279, 11470, 994, 499, 617, 311, 8454, 433, 13, 763, 1684, 315, 279, 3485, 4787, 11, 1603, 499, 4148, 279, 2362, 4580, 311, 8454, 279, 502, 4580, 11, 499, 2011, 15884, 1373, 279, 9959, 2038, 11, 323, 3619, 279, 8670, 323, 10565, 16346, 1603, 499, 1212, 11, 779, 439, 539, 311, 5353, 810, 5435, 627, 22, 13, 11511, 39160, 3571, 1749, 14867, 4580, 2085, 24804, 5596, 11, 279, 1890, 477, 18641, 1403, 21126, 304, 279, 1887, 649, 387, 958, 17805, 323, 10273, 11, 369, 3187, 11, 279, 9473, 315, 1403, 16580, 3290, 21126, 477, 59412, 21126, 649, 8417, 279, 14867, 4580, 477, 14867, 13, 3744, 13, 1115, 5425, 39160, 3571, 1749, 1288, 2343, 3361, 6666, 311, 539, 1193, 279, 4495, 9473, 315, 12035, 19358, 11, 719, 1101, 264, 4101, 315, 12435, 5137, 9473, 11, 6062, 433, 690, 539, 11322, 279, 7580, 11, 719, 690, 1893, 502, 57790, 14718, 22047, 315, 7422, 11, 2011, 387, 6646, 304, 12178, 1174, 2955, 264, 1695, 3241, 323, 12035, 9473, 2068, 11, 323, 1243, 9473, 323, 1817, 30357, 627, 23, 13, 9984, 6514, 1749, 578, 35876, 2585, 1887, 315, 279, 60797, 12414, 6987, 383, 706, 10862, 279, 4500, 6566, 315, 6812, 6108, 323, 1825, 84175, 13, 578, 3241, 2262, 374, 810, 323, 810, 44611, 11, 2737, 1887, 3241, 11, 5780, 5507, 7514, 3241, 11, 323, 1524, 3932, 6, 1866, 3241, 13, 24586, 311, 1063, 31352, 5435, 304, 279, 2955, 315, 3241, 12496, 11, 1063, 14867, 5415, 527, 539, 30239, 11, 1778, 439, 37237, 13, 1789, 420, 3169, 315, 14867, 25885, 11, 3361, 11193, 649, 387, 4529, 311, 3568, 449, 433, 13, 1789, 3187, 11, 279, 4459, 5780, 374, 23134, 1022, 11, 323, 1243, 81754, 1306, 264, 18579, 11, 323, 7170, 279, 14867, 1253, 387, 34373, 13, 39306, 17274, 649, 13488, 872, 7016, 477, 1023, 7524, 5528, 304, 872, 1317, 9860, 6725, 627, 57, 3524, 89, 17156, 526, 7557, 45206, 3623, 2637, 12604, 13, 539, 1193, 13777, 279, 6987, 383, 13709, 990, 11, 719, 1101, 31878, 12414, 326, 589, 288, 11, 2737, 60797, 2033, 26005, 12414, 6987, 383, 31166, 4103, 4101, 11, 60797, 2033, 26005, 12414, 6987, 383, 14499, 43, 4101, 323, 3254, 26005, 6987, 383, 356, 18625, 17, 11, 5099, 13, 3161, 810, 1109, 220, 508, 1667, 315, 3217, 11, 279, 2883, 374, 264, 22936, 8863, 2883, 54952, 2955, 11, 15266, 11, 14956, 11, 14028, 11, 12396, 287, 323, 1306, 96768, 13, 20776, 502, 323, 2362, 6444, 311, 2586, 323, 3780, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 3923, 374, 220, 5313, 92668, 468, 2871, 1753, 99267, 35005, 5380, 3923, 2209, 220, 5313, 480, 13183, 48953, 36361, 30, 482, 7531, 24271, 323, 38343, 520, 21069, 1924, 11, 279, 1176, 21210, 430, 6835, 499, 459, 7833, 4320, 198, 5313, 342, 13183, 19358, 13861, 7064, 859, 539, 23468, 10489, 1781, 1202, 279, 11863, 1672, 10733, 602, 617, 502, 11863, 323, 7064, 859, 1202, 927, 23468, 279, 2132, 11863, 482, 36231, 612, 86435, 22854, 555, 26875, 198, 2028, 374, 4156, 3185, 19358, 315, 220, 3753, 20, 92668, 34785, 13, 9369, 279, 6945, 311, 4232, 13, 9369, 1618, 311, 1684, 279, 1203, 3185, 19358, 315, 220, 3753, 20, 92668, 11092, 198, 5313, 342, 13183, 19358, 13861, 11863, 539, 23468, 502, 7064, 859, 3651, 426, 71286, 2132, 11863, 927, 23468, 482, 36231, 612, 86435, 22854, 555, 26875, 198, 10001, 369, 220, 5313, 342, 13183, 19358, 13861, 5234, 15535, 7286, 50261, 220, 5313, 342, 13183, 19358, 13861, 482, 510, 9619, 6207, 60, 220, 22869, 23, 31572, 571, 220, 16367, 20, 26068, 2754, 220, 5313, 342, 13183, 19358, 13861, 482, 8797, 8745, 198, 13347, 2052, 358, 1097, 304, 1205, 315, 264, 19358, 13861, 369, 459, 220, 5313, 92668, 328, 868, 11092, 13, 3639, 358, 1205, 374, 279, 13861, 369, 279, 36108, 430, 9903, 311, 279, 31990, 10879, 304, 279, 24858, 627, 14809, 22559, 25, 9369, 389, 2723, 3770, 323, 9236, 1523, 311, 27861, 220, 3753, 20, 369, 19358, 13861, 25, 1795, 1129, 2185, 24533, 8855, 916, 2754, 4663, 14, 24640, 66645, 90578, 7927, 2592, 369, 92668, 9244, 2038, 11, 19358, 2038, 11, 11156, 1520, 369, 701, 502, 477, 1511, 7458, 11, 92668, 11, 27766, 48953, 36361, 82, 11, 9244, 2038, 11, 53221, 72, 5864, 198, 93995, 220, 21, 220, 4468, 18, 12, 3753, 20, 449, 18879, 51259, 36108, 304, 279, 19358, 47287, 430, 527, 264, 961, 315, 1521, 11470, 13, 4314, 5219, 527, 22655, 13160, 389, 279, 36108, 5694, 627, 5313, 342, 13183, 274, 868, 4817, 13861, 482, 48953, 36361, 482, 220, 2550, 23, 328, 605, 328, 868, 445, 12328, 2563, 23697, 8364, 33170, 48953, 36361, 82, 1389, 24748, 602, 617, 1063, 502, 68144, 19358, 264, 198, 2618, 482, 9303, 11670, 19722, 86435, 871, 578, 220, 4468, 18, 482, 220, 3753, 22, 43477, 612, 92668, 20305, 8772, 4961, 8925, 2564, 5606, 2751, 1063, 19358, 47287, 369, 264, 220, 5958, 12, 4044, 11092, 30, 279, 19358, 389, 856, 220, 1490, 374, 4856, 2564, 4427, 6392, 1618, 1795, 1129, 2185, 5442, 15954, 1557, 14029, 99418, 11014, 916, 14, 2813, 96692, 2054, 2628, 98726, 2212, 389, 279, 2816, 1070, 374, 1063, 1023, 47287, 12515, 11180, 7458, 19358, 25, 220, 3753, 17, 12, 5313, 92668, 328, 868, 75560, 73075, 48953, 8245, 198, 15777, 34785, 45615, 871, 45034, 2564, 358, 617, 264, 33277, 3330, 704, 315, 264, 220, 5313, 98010, 11092, 323, 1053, 1093, 311, 1440, 422, 4423, 706, 264, 13861, 315, 1148, 1933, 9244, 5900, 311, 1148, 13, 358, 1097, 13126, 27730, 433, 304, 856, 220, 3076, 11, 719, 1205, 264, 2697, 1520, 389, 1148, 9244, 5900, 311, 1148, 627, 86, 6322, 13861, 220, 5313, 342, 13183, 274, 868, 482, 48953, 36361, 482, 220, 2550, 23, 328, 605, 328, 868, 445, 12328, 2563, 23697, 8364, 33170, 48953, 36361, 82, 1389, 24748, 602, 617, 1063, 502, 68144, 19358, 264, 198, 16533, 220, 3753, 20, 92668, 328, 12, 868, 220, 19, 55, 19, 19358, 13861, 3234, 499, 1205, 279, 2547, 19358, 13861, 11, 279, 12411, 4817, 2585, 19358, 13861, 11, 477, 279, 7188, 4817, 2585, 19358, 13861, 369, 264, 220, 3753, 20, 328, 12, 868, 28933, 220, 19, 55, 19, 7801, 3639, 1404, 4817, 1587, 701, 92668, 617, 30, 358, 1053, 387, 6380, 311, 8737, 856, 921, 16695, 596, 47287, 323, 2613, 1124, 12515, 1213, 955, 25, 662, 5349, 24884, 555, 25, 272, 73702, 10033, 21685, 25, 13861, 86, 6322, 5181, 2592, 2316, 25, 220, 2550, 21, 10, 70, 13183, 10, 942, 7942, 66205, 6322, 10, 8747, 5864, 765, 36361, 54, 6322, 37615, 2592, 4096, 25, 1472, 690, 8935, 505, 1701, 20658, 19358, 47287, 422, 499, 3197, 389, 27666, 20314, 19358, 7224, 304, 701, 2162, 627, 8586, 258, 499, 690, 1518, 264, 19358, 13861, 315, 279, 220, 3753, 22, 92668, 34785, 13, 763, 220, 3753, 22, 11, 19722, 5614, 279, 356, 33954, 308, 89947, 1598, 311, 432, 28332, 13, 2052, 21787, 1051, 1457, 10633, 41772, 4669, 666, 28635, 14285, 54911, 320, 51, 8768, 4390, 14809, 22559, 25, 7429, 1817, 704, 1795, 1129, 2185, 13, 3080, 12, 5332, 1557, 14029, 376, 15954, 916, 433, 374, 832, 315, 279, 7928, 323, 1455, 4642, 220, 5958, 12, 4044, 58398, 16169, 11865, 11092, 1984, 21126, 499, 690, 1505, 627, 25729, 701, 459, 6335, 92668, 3804, 60159, 6505, 31591, 44152, 11, 92668, 3804, 60159, 97899, 11, 477, 264, 72645, 92668, 3804, 60159, 61912, 449, 264, 220, 3753, 20, 92668, 3804, 60159, 11, 264, 1841, 39052, 19358, 13861, 649, 3665, 6261, 264, 2763, 315, 892, 627, 5313, 480, 13183, 34785, 48953, 36361, 29250, 17833, 74847, 50261, 13, 220, 5313, 342, 13183, 11092, 19358, 13861, 13072, 3626, 482, 510, 9619, 6207, 60, 220, 5313, 342, 13183, 11092, 19358, 13861, 13072, 3626, 482, 8797, 8745, 198, 11180, 7458, 19358, 25, 220, 3753, 17, 12, 5313, 92668, 28933, 328, 92831, 73075, 48953, 8245, 198, 6, 5313, 92668, 36903, 2269, 2992, 39052, 19358, 30, 578, 68144, 304, 856, 921, 16695, 596, 374, 20025, 2531, 1260, 13, 4740, 25394, 1268, 279, 502, 39052, 574, 10487, 304, 279, 11092, 449, 279, 3766, 6506, 11, 358, 1205, 1520, 311, 2867, 709, 813, 88637, 13, 2564, 3234, 499, 617, 279, 19358, 13861, 369, 279, 20064, 290, 9722, 5380, 10086, 2294, 12789, 389, 31006, 369, 220, 3753, 20, 99267, 35005, 323, 220, 3753, 20, 342, 13183, 19358, 13861, 13, 14355, 449, 12410, 627, 1, 3753, 24, 8828, 36689, 34785, 432, 28332, 11, 393, 27972, 48953, 36361, 82, 1, 34991, 369, 92668, 62296, 30126, 11, 420, 8803, 2320, 11931, 4113, 19358, 13861, 5039, 499, 1268, 311, 1833, 279, 19358, 505, 59985, 4791, 1481, 24988, 627, 2675, 690, 1518, 264, 220, 5313, 30300, 75560, 48953, 36361, 4817, 477, 2410, 6134, 32776, 304, 701, 13, 2564, 26868, 315, 220, 5313, 30300, 75560, 48953, 36361, 3187, 374, 220, 5313, 30300, 75560, 48953, 36361, 13, 27399, 47287, 1148, 342, 13183, 597, 308, 89947, 1598, 13, 34785, 5596, 13001, 520, 5825, 31831, 323, 584, 627, 7816, 48953, 47287, 369, 9515, 323, 27861, 3580, 1193, 46029, 57098, 48953, 47287, 369, 9515, 323, 27861, 4860, 26, 2564, 11208, 649, 602, 3780, 264, 3321, 19358, 33508, 369, 856, 220, 5313, 342, 13183, 13, 2650, 311, 8454, 14981, 3321, 220, 5313, 342, 13183, 13, 220, 5313, 96544, 2465, 1949, 40508, 19358, 47287, 13, 36361, 14981, 3321, 53992, 12515, 3852, 606, 617, 19358, 13861, 369, 220, 5313, 272, 605, 30, 18591, 220, 16, 311, 220, 20, 315, 220, 20, 2564, 220, 2550, 20, 92668, 482, 48953, 13861, 949, 3296, 83750, 4091, 304, 12111, 92668, 34785, 17997, 64439, 25, 220, 1032, 8155, 3962, 25, 220, 717, 12, 717, 12, 1049, 24, 11, 220, 2589, 25, 4331, 5975, 13, 19358, 13861, 13, 3296, 27275, 19902, 304, 12111, 58398, 34785, 17997, 198, 25729, 701, 459, 6335, 92668, 328, 868, 75560, 6505, 31591, 44152, 11, 92668, 328, 868, 75560, 97899, 11, 477, 264, 72645, 92668, 328, 868, 75560, 61912, 449, 264, 220, 3753, 20, 92668, 328, 868, 75560, 11, 264, 1841, 39052, 19358, 13861, 649, 3665, 6261, 264, 2763, 315, 892, 627, 40, 1205, 264, 19358, 13861, 369, 264, 220, 5313, 342, 13183, 272, 3965, 15, 10213, 1120, 369, 279, 24858, 198, 1, 42094, 36689, 34785, 5475, 14881, 43491, 220, 5313, 92668, 86435, 1, 48953, 36361, 82, 4925, 28239, 34199, 2718, 25, 47467, 488, 25, 1115, 1537, 374, 4113, 13, 33123, 25, 220, 806, 13, 410, 865, 220, 23, 13, 1135, 2564, 220, 3753, 20, 58398, 323, 92668, 19111, 921, 33567, 61573, 412, 48953, 36361, 17674, 426, 21, 47, 22349, 400, 777, 13, 410, 220, 3753, 20, 43477, 25352, 36689, 34785, 14355, 14881, 43491, 12515, 5313, 348, 438, 5808, 20314, 13861, 1949, 58610, 4232, 477, 1373, 2930, 389, 3092, 1255, 4845, 10616, 89, 916, 482, 58752, 45034, 48953, 36361, 84562, 482, 9648, 9451, 454, 220, 4645, 198, 9241, 649, 499, 1505, 264, 1949, 19358, 13861, 369, 264, 220, 3753, 20, 342, 13183, 96544, 2465, 220, 19, 865, 220, 19, 30, 3234, 499, 1205, 279, 2547, 19358, 13861, 11, 279, 12411, 4817, 2585, 19358, 13861, 11, 477, 279, 7188, 4817, 2585, 19358, 13861, 369, 264, 220, 3753, 20, 328, 12, 868, 28933, 220, 19, 55, 19, 7801, 3639, 1404, 4817, 1587, 701, 92668, 617, 5380, 10001, 369, 220, 5313, 98010, 11092, 9244, 47287, 5234, 15535, 7286, 50261, 220, 5313, 98010, 11092, 9244, 47287, 482, 510, 9619, 6207, 60, 220, 22869, 23, 31572, 571, 220, 16367, 20, 26068, 2754, 220, 5313, 98010, 11092, 9244, 47287, 482, 8797, 8745, 198, 54, 6322, 13861, 4460, 12632, 612, 38784, 13, 342, 1026, 5262, 436, 33757, 17997, 13, 8618, 26, 12332, 26, 2724, 15643, 26, 17263, 26, 11450, 596, 15781, 26, 7694, 26, 32072, 551, 19722, 15992, 14285, 482, 220, 4468, 18, 2564, 220, 5313, 92668, 36903, 22591, 735, 3965, 15, 220, 8652, 14, 1016, 8652, 20906, 47, 12171, 220, 605, 33, 337, 2641, 220, 18, 13, 5958, 596, 3929, 1277, 1129, 2185, 25118, 5262, 2664, 916, 63235, 35275, 4629, 2348, 69754, 28, 19057, 198, 10086, 1888, 907, 323, 6727, 369, 701, 13792, 19358, 94999, 41862, 92668, 36903, 220, 5313, 220, 4218, 220, 4044, 2778, 389, 31006, 13, 4435, 596, 6522, 30633, 627, 24581, 19358, 13861, 369, 459, 364, 5313, 58398, 356, 966, 328, 1553, 2172, 11092, 34011, 36912, 25, 3297, 220, 777, 220, 679, 17, 11, 220, 2705, 25, 2705, 5975, 320, 16, 11, 25687, 25987, 8, 74239, 10654, 11603, 25, 2564, 3277, 358, 5918, 856, 220, 5833, 480, 13183, 358, 7882, 682, 279, 4106, 36108, 311, 279, 50977, 323, 2682, 279, 46121, 449, 1464, 388, 627, 10031, 3649, 25, 220, 5162, 23, 58398, 612, 92668, 34785, 48953, 36361, 3744, 49182, 34651, 12, 2614, 18023, 48953, 47287, 527, 20225, 29470, 315, 701, 27861, 19358, 323, 4135, 6329, 6067, 13, 7648, 19358, 47287, 3493, 11944, 45543, 315, 20314, 32267, 3235, 449, 1584, 13633, 44713, 315, 19358, 33508, 288, 9204, 9244, 31990, 12515, 2618, 482, 1510, 11670, 38979, 27861, 871, 279, 220, 4468, 18, 482, 220, 3753, 22, 3091, 38420, 612, 342, 13183, 93138, 1984, 4580, 5606, 2751, 1063, 19358, 47287, 369, 264, 220, 5958, 12, 4044, 11092, 30, 279, 19358, 389, 856, 220, 1490, 374, 7531, 1579, 4367, 342, 13183, 5596, 505, 5596, 28788, 927, 220, 16, 3610, 5596, 304, 5708, 2561, 520, 3428, 7729, 449, 5043, 11862, 323, 220, 1187, 12515, 17245, 242, 17245, 242, 17245, 242, 578, 2768, 20314, 19358, 13861, 17208, 369, 220, 1049, 15, 68689, 220, 13655, 49, 35404, 4211, 13, 5810, 258, 11, 499, 690, 1505, 4686, 4096, 449, 10015, 40134, 389, 20314, 1887, 11, 9244, 33508, 11, 69771, 11, 2532, 323, 13709, 7754, 315, 220, 1049, 15, 68689, 220, 13655, 49, 627, 11180, 1841, 39052, 323, 1841, 9063, 14028, 5211, 13, 15166, 555, 3094, 14028, 11470, 4686, 449, 7397, 11, 5507, 1160, 11, 323, 19358, 7872, 627, 3923, 499, 1373, 1618, 374, 279, 68144, 369, 279, 220, 5162, 19, 10846, 3647, 3454, 435, 12, 5313, 3744, 220, 17, 1226, 7079, 430, 499, 8666, 279, 19358, 13861, 369, 220, 5162, 19, 10846, 3647, 3454, 435, 12, 5313, 3744, 220, 16, 1115, 19358, 13861, 389, 279, 1314, 10846, 3647, 3454, 374, 315, 6956, 1778, 439, 13001, 11, 21281, 11, 2410, 3480, 11, 32530, 11, 9499, 31990, 5089, 9048, 11, 21281, 12515, 27941, 38420, 11092, 2010, 4238, 19358, 13861, 13, 14967, 19358, 68144, 369, 58398, 11092, 88720, 13, 48953, 13861, 369, 9986, 13001, 13, 37179, 3177, 19358, 68144, 627, 38, 11865, 28876, 53427, 28643, 3680, 84066, 25362, 1507, 51761, 3651, 99267, 35005, 50, 482, 38535, 92668, 3680, 84066, 6570, 36746, 45373, 17773, 72306, 15334, 5257, 59127, 15281, 1268, 311, 13023, 264, 1841, 477, 11092, 11, 4685, 477, 4148, 5596, 11, 9244, 459, 4817, 11, 7738, 10163, 13001, 11, 8454, 10633, 4141, 11, 5155, 3313, 2547, 323, 810, 627, 40, 2751, 459, 2613, 3432, 449, 264, 2294, 2723, 13, 9156, 15723, 8158, 19358, 47287, 369, 1690, 9515, 323, 27861, 369, 1949, 13, 1102, 1101, 706, 264, 13057, 3392, 315, 13023, 51307, 198, 30431, 12381, 323, 48953, 48125, 45635, 3341, 28266, 41994, 3341, 25274, 2360, 5014, 3341, 73075, 28266, 68954, 477, 10807, 37543 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 50342, 3394, 2007, 3953, 198, 3112, 690, 1070, 387, 2643, 387, 2555, 810, 27331, 779, 430, 499, 649, 387, 10887, 30, 4054, 810, 3245, 499, 2011, 5357, 389, 374, 33373, 11, 69428, 3363, 12109, 449, 757, 26243, 389, 8068, 362, 323, 499, 389, 8068, 426, 13, 1226, 3448, 291, 10594, 3545, 6076, 4306, 15449, 706, 1027, 3967, 311, 387, 10815, 311, 279, 11, 24950, 505, 9633, 12933, 311, 2007, 3953, 13, 15668, 1695, 11813, 922, 279, 3962, 309, 1900, 11, 4048, 311, 1514, 304, 12109, 505, 2835, 21481, 311, 597, 12052, 13, 32833, 1949, 311, 2586, 1203, 1618, 3629, 311, 1518, 1148, 775, 374, 502, 449, 279, 12109, 11, 69428, 3363, 12109, 279, 9650, 1053, 387, 311, 23935, 2867, 315, 12109, 16087, 13, 24845, 374, 1888, 2917, 2788, 1555, 279, 1005, 315, 2383, 323, 2015, 11, 69428, 3363, 12109, 1778, 264, 3245, 374, 43303, 13, 578, 892, 4124, 369, 9889, 374, 279, 1890, 369, 682, 2561, 3827, 1667, 11, 912, 16946, 33321, 2363, 20481, 1879, 709, 627, 8142, 584, 2834, 1431, 1440, 369, 2771, 3156, 814, 17782, 11, 779, 50712, 3932, 690, 4461, 1390, 311, 9396, 449, 279, 469, 2382, 477, 9558, 55827, 2582, 8385, 13, 1115, 374, 994, 499, 1101, 617, 311, 8891, 279, 5729, 12562, 315, 279, 2800, 315, 279, 2007, 11, 1057, 74590, 34945, 304, 279, 11546, 5699, 13, 21815, 704, 369, 1063, 57399, 323, 13548, 69428, 16087, 11, 379, 263, 27269, 9633, 12933, 8519, 38668, 13, 6104, 279, 1847, 649, 387, 304, 279, 2851, 753, 4799, 11, 80604, 13, 362, 17444, 499, 6755, 922, 374, 2085, 264, 10712, 5505, 11, 426, 4575, 47957, 13, 5414, 88826, 1903, 430, 9024, 9320, 505, 23583, 6566, 311, 9698, 323, 12707, 11, 5348, 33731, 5099, 13, 9843, 1578, 11, 1070, 527, 16280, 11758, 315, 11028, 449, 13548, 6037, 62990, 311, 2567, 279, 1847, 13548, 13, 8618, 287, 389, 1057, 11349, 12109, 6732, 374, 6724, 1949, 315, 2853, 11, 9966, 13, 5422, 9547, 4920, 279, 9889, 315, 4113, 3956, 369, 279, 15155, 586, 527, 279, 8333, 11, 323, 22939, 8863, 315, 34751, 323, 86304, 13, 7648, 2586, 449, 37943, 788, 33321, 323, 2773, 437, 902, 1855, 2851, 649, 4774, 11, 323, 58191, 3876, 1124, 1555, 1008, 13254, 13, 763, 1023, 4339, 11, 9849, 82474, 13, 1283, 7020, 430, 499, 1053, 539, 387, 10619, 449, 1461, 2133, 311, 279, 12109, 11, 889, 617, 810, 1109, 220, 508, 1667, 304, 279, 2626, 627, 40, 5289, 9633, 5780, 1493, 2082, 220, 717, 264, 10508, 2851, 3250, 1431, 636, 6532, 304, 1690, 6206, 11, 4848, 649, 1005, 279, 6962, 25199, 13, 3639, 374, 810, 23649, 374, 430, 279, 8158, 527, 2561, 369, 5127, 11, 2380, 649, 1005, 21363, 323, 2380, 649, 1005, 279, 23677, 19037, 13, 1102, 374, 2736, 1694, 1511, 369, 14507, 11, 4184, 311, 279, 16290, 96342, 8245, 5955, 13, 3861, 649, 6725, 520, 4661, 904, 2237, 313, 1527, 6913, 11, 4619, 315, 1701, 65693, 12518, 304, 4799, 315, 701, 10077, 28592, 3339, 701, 10077, 1934, 47989, 13, 13428, 374, 279, 3117, 2731, 9341, 369, 220, 2366, 15, 11, 1888, 1648, 374, 311, 387, 99578, 13, 1102, 374, 2731, 311, 3780, 279, 220, 19, 11, 323, 374, 832, 315, 279, 2478, 2835, 16087, 8040, 555, 420, 12109, 3241, 9287, 627, 12572, 279, 28361, 304, 3974, 12109, 198, 11764, 279, 10736, 311, 701, 18355, 15435, 596, 2686, 369, 6220, 10494, 13, 482, 311, 4662, 25, 505, 701, 18355, 15435, 11, 9901, 499, 369, 10923, 757, 311, 4068, 13, 578, 3300, 14117, 389, 279, 25664, 323, 6118, 374, 539, 430, 1579, 11, 622, 8512, 356, 47469, 13, 816, 263, 27269, 9633, 12933, 499, 690, 387, 2728, 279, 9633, 323, 499, 690, 1205, 311, 4295, 433, 3131, 311, 1304, 701, 1176, 12903, 11, 323, 6941, 33680, 13, 350, 1862, 779, 1120, 1373, 9633, 1847, 11, 9901, 499, 369, 420, 1772, 13, 40551, 5912, 2343, 4791, 27642, 220, 18, 35, 9633, 5780, 3953, 374, 38048, 30311, 11, 7008, 13, 28468, 43177, 3085, 5190, 90629, 323, 5129, 21448, 11, 1561, 17340, 13, 3277, 701, 7491, 374, 32485, 11, 37355, 13, 1442, 279, 9269, 374, 3604, 11763, 3629, 3403, 11, 32603, 13, 11964, 750, 5526, 30778, 449, 10077, 369, 279, 69428, 11, 28702, 13, 1628, 9633, 3953, 1520, 499, 1514, 810, 11, 6890, 627, 11087, 536, 3779, 25, 330, 32, 2763, 315, 1274, 3041, 872, 18512, 311, 872, 76021, 311, 3802, 1203, 3827, 16337, 323, 2646, 3802, 505, 279, 56374, 11, 323, 279, 2134, 13, 81567, 13592, 11911, 389, 279, 15664, 9306, 369, 3009, 32390, 304, 279, 3185, 29076, 11, 2930, 18355, 12109, 3243, 1972, 8515, 912, 16946, 13, 13440, 499, 649, 3060, 636, 499, 3243, 1972, 3300, 912, 34751, 11, 11262, 84, 936, 71, 56053, 12109, 1903, 757, 32399, 13085, 433, 13, 358, 2846, 14470, 2771, 1148, 3300, 374, 2834, 374, 2834, 555, 264, 8945, 70566, 26429, 11, 719, 1070, 527, 1403, 4382, 5718, 994, 433, 4131, 311, 14713, 1523, 279, 12109, 596, 6964, 311, 439, 3428, 439, 3284, 304, 2380, 3786, 21481, 13, 763, 2015, 311, 387, 3025, 311, 3493, 3600, 311, 10495, 11754, 555, 279, 11501, 11, 1880, 7010, 1208, 3682, 13109, 951, 4865, 9189, 86768, 89, 6316, 71080, 31127, 1604, 409, 312, 30532, 13, 328, 10358, 2917, 59548, 1891, 88845, 77230, 264, 3091, 42614, 21252, 483, 436, 9334, 58132, 6496, 1008, 69003, 548, 11, 44351, 1744, 951, 4787, 409, 57459, 1744, 9189, 3567, 23577, 69241, 404, 33670, 409, 68226, 665, 936, 74333, 1208, 4647, 71933, 1794, 2727, 294, 6, 77217, 15783, 360, 8047, 627, 9673, 35936, 1053, 1520, 38263, 279, 502, 5718, 11, 22996, 61018, 273, 9633, 5780, 499, 1288, 387, 5644, 311, 1935, 264, 3738, 3392, 315, 294, 853, 13, 3658, 3953, 220, 20, 57382, 9633, 5780, 1455, 1510, 26767, 5439, 6821, 323, 3691, 5842, 505, 1614, 2890, 5089, 11, 1778, 439, 701, 12708, 13, 35403, 682, 16946, 5528, 3085, 9888, 7901, 3115, 520, 420, 2816, 11, 1070, 374, 10034, 26243, 13, 1442, 499, 1390, 311, 2567, 701, 87449, 6220, 11, 1949, 3953, 220, 20, 57382, 9633, 5780, 520, 3325, 304, 264, 2478, 5415, 13, 5751, 1566, 28782, 369, 499, 374, 311, 4822, 33519, 11, 502, 12109, 8736, 4311, 1288, 1101, 1427, 704, 369, 279, 42497, 20595, 994, 2380, 477, 810, 38067, 18210, 5101, 12660, 389, 279, 4264, 13, 21115, 3953, 2997, 1778, 27672, 439, 58362, 323, 21481, 11, 1023, 1109, 19486, 856, 18528, 18222, 6913, 8446, 20157, 13, 1796, 315, 2930, 12109, 3953, 279, 12306, 4883, 10548, 994, 499, 4686, 701, 1949, 45858, 11, 584, 649, 2646, 636, 264, 2860, 315, 2380, 439, 584, 1541, 1431, 617, 264, 1403, 323, 264, 832, 13, 3206, 40863, 832, 315, 279, 8706, 58286, 311, 5737, 304, 279, 2930, 12109, 1917, 927, 279, 4363, 6108, 832, 374, 279, 26762, 1358, 315, 12109, 33321, 499, 649, 3802, 994, 5737, 520, 12109, 6732, 11, 323, 279, 21187, 16846, 555, 18054, 279, 6710, 505, 279, 4580, 11622, 323, 4737, 1202, 2543, 627, 49387, 12109, 33321, 198, 791, 38088, 12496, 315, 279, 1887, 374, 430, 499, 2011, 3243, 832, 1297, 11, 279, 1925, 6037, 994, 1701, 904, 8446, 3582, 374, 311, 2646, 8493, 810, 8515, 1109, 499, 7347, 6261, 311, 994, 499, 1176, 3940, 26243, 13, 1472, 527, 539, 7347, 311, 1193, 3953, 11, 9633, 5780, 917, 1972, 3300, 499, 1176, 1205, 311, 4254, 369, 279, 11060, 5057, 35602, 2123, 18629, 13, 9176, 315, 279, 2835, 15744, 1847, 2671, 3085, 264, 9269, 2373, 779, 499, 649, 617, 264, 733, 369, 1949, 1603, 5737, 449, 1972, 3300, 11, 1514, 1949, 12109, 3953, 369, 2523, 279, 3878, 323, 4787, 2586, 304, 1450, 304, 23391, 430, 499, 2680, 279, 12306, 304, 2458, 2786, 323, 26420, 430, 279, 6130, 1587, 539, 41587, 279, 3878, 304, 904, 1648, 439, 433, 1053, 3219, 701, 12306, 742, 13, 32495, 12109, 3241, 439, 1475, 12306, 304, 279, 3157, 11, 1070, 753, 1101, 264, 58362, 69428, 2561, 13, 1226, 4024, 311, 4950, 4661, 7214, 1306, 1057, 14177, 11, 4869, 13, 578, 92746, 10690, 17366, 7376, 389, 6186, 220, 717, 11, 1949, 7757, 12109, 25725, 358, 7070, 4017, 856, 1957, 311, 279, 10175, 7228, 1297, 439, 264, 50048, 627, 2170, 499, 1440, 11, 264, 1912, 315, 1274, 279, 12109, 6325, 439, 872, 1948, 58355, 8403, 13, 53448, 1167, 13722, 11, 11104, 16847, 5657, 13, 15371, 8128, 369, 11434, 449, 958, 1039, 60692, 7766, 527, 4726, 22340, 11, 279, 35684, 34681, 57728, 12109, 5234, 432, 19031, 33112, 5657, 13, 6075, 3115, 2873, 1695, 323, 6130, 2532, 24005, 617, 1027, 7633, 439, 11190, 18403, 11, 323, 20217, 12279, 8255, 17026, 527, 7559, 520, 279, 20396, 311, 1057, 22541, 482, 1120, 264, 4321, 13, 29524, 2231, 11, 13260, 12141, 13, 5075, 79170, 3953, 25, 2684, 527, 25975, 1405, 4311, 1253, 617, 311, 4232, 3927, 6505, 3953, 1603, 5737, 11, 477, 19665, 7558, 31551, 3201, 505, 701, 2816, 29870, 809, 2574, 264, 2766, 810, 41308, 398, 627, 2675, 690, 1101, 387, 2631, 311, 617, 1063, 6913, 7241, 1093, 264, 6500, 449, 264, 43495, 11, 16946, 33321, 323, 1879, 5352, 21845, 13, 40461, 287, 10604, 374, 6319, 311, 21818, 3347, 46616, 323, 1139, 279, 4851, 11, 1514, 369, 1949, 389, 12109, 12933, 279, 2851, 2011, 5268, 1990, 1403, 2671, 13, 2435, 617, 264, 8941, 315, 3953, 505, 279, 1888, 13707, 304, 279, 2626, 323, 264, 2307, 4228, 311, 1005, 3997, 11, 636, 3940, 449, 420, 917, 323, 636, 44937, 7446, 13, 47745, 436, 8503, 1208, 5780, 13988, 4558, 451, 45575, 61852, 81235, 3869, 1208, 7809, 57288, 951, 69236, 9952, 1208, 2007, 951, 20192, 1880, 8065, 55056, 425, 951, 38847, 11, 3249, 539, 1296, 704, 701, 6677, 520, 1057, 11349, 2930, 25725, 13335, 13, 1472, 649, 6288, 7598, 311, 279, 14930, 7199, 3857, 311, 11537, 553, 6261, 449, 682, 279, 11193, 27167, 311, 6106, 279, 51841, 315, 1855, 16211, 15632, 11, 584, 4805, 37455, 389, 28681, 61970, 13, 4946, 602, 3243, 520, 279, 12109, 18396, 1070, 527, 220, 868, 2322, 55422, 11, 435, 361, 839, 555, 46661, 6515, 53929, 13, 1556, 2713, 389, 3682, 5054, 4455, 11, 420, 374, 539, 1633, 4279, 323, 422, 499, 1505, 264, 12109, 10209, 420, 3392, 499, 1288, 387, 36204, 3614, 449, 5403, 279, 12306, 3878, 13, 27740, 398, 1070, 527, 220, 17, 11, 2636, 2930, 5029, 6732, 3600, 304, 279, 34815, 7636, 11, 48713, 436, 8503, 12868, 19649, 737, 52409, 55471, 6529, 36431, 84901, 19120, 265, 42638, 627, 20171, 25725, 7296, 323, 4092, 198, 1687, 4070, 3970, 430, 3674, 16211, 374, 264, 1317, 1648, 7108, 505, 8441, 709, 459, 2759, 449, 701, 2653, 12, 58700, 8515, 323, 1243, 25725, 433, 43071, 520, 304, 3786, 3953, 477, 16087, 11, 499, 649, 3539, 264, 5526, 1749, 2663, 6068, 11862, 13, 1226, 5131, 656, 539, 7079, 5737, 520, 8797, 58726, 38668, 11, 1405, 279, 14290, 13777, 433, 369, 499, 13, 8840, 856, 39526, 11, 889, 6944, 311, 3243, 3300, 304, 279, 12109, 719, 1521, 527, 279, 13363, 13, 1628, 439, 279, 1193, 2254, 25605, 2930, 21481, 2816, 449, 5361, 40161, 11, 904, 15055, 499, 3243, 449, 430, 12306, 690, 14614, 387, 9967, 304, 701, 12306, 8335, 13, 7429, 279, 5540, 389, 279, 4264, 11, 66583, 12109, 323, 690, 1193, 387, 23217, 311, 701, 8515, 8335, 3131, 499, 4686, 279, 56443, 287, 16686, 13, 10180, 5944, 9266, 490, 344, 6438, 8518, 323, 3678, 23218, 11, 66583, 12109, 902, 1436, 1121, 304, 67129, 14955, 5042, 1606, 814, 527, 49920, 323, 4250, 4097, 279, 1972, 4787, 520, 279, 892, 315, 264, 10121, 13, 15936, 323, 1825, 279, 6134, 311, 264, 502, 1917, 11, 889, 6944, 311, 3243, 3300, 304, 279, 12109, 1521, 3953, 690, 2343, 4827, 7863, 311, 1023, 3953, 13, 1472, 649, 1243, 1935, 264, 1427, 520, 6205, 7356, 902, 706, 279, 8292, 369, 8441, 3626, 11, 430, 602, 627, 9290, 430, 279, 4272, 87449, 311, 264, 5089, 11, 21533, 24400, 389, 279, 7434, 315, 597, 4988, 13, 13596, 7185, 8993, 304, 279, 33100, 315, 9500, 20103, 374, 5960, 328, 8869, 1891, 4610, 455, 6733, 11, 15369, 25725, 502, 73539, 902, 374, 1101, 46728, 304, 279, 2883, 753, 9131, 5224, 13, 1115, 690, 2187, 701, 30758, 10025, 261, 311, 7172, 433, 389, 279, 2807, 10018, 323, 539, 11196, 922, 264, 14459, 389, 279, 357, 977, 4285, 6134, 48728, 709, 279, 2800, 315, 279, 3070, 11, 13481, 12855, 323, 9192, 71478, 13, 23212, 11, 779, 1304, 2771, 499, 3041, 15347, 50, 2914, 6505, 12109, 10844, 304, 701, 23732, 13, 11511, 1178, 3953, 315, 420 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2059, 120970, 5348, 753, 468, 19011, 350, 552, 374, 279, 1455, 65516, 2785, 315, 6603, 11, 279, 3169, 430, 29972, 311, 387, 7191, 1109, 279, 2694, 315, 1202, 5596, 13, 1102, 4536, 1431, 7636, 304, 430, 13, 2684, 527, 11510, 315, 6603, 430, 1288, 387, 51249, 16038, 323, 99733, 369, 8996, 2944, 13, 1628, 3686, 814, 7784, 1431, 13, 2435, 649, 1431, 387, 11, 1606, 17354, 814, 10205, 3485, 7234, 4819, 11, 477, 3752, 4819, 477, 904, 1396, 315, 11003, 12018, 21041, 311, 387, 29722, 323, 48206, 3210, 34898, 13, 9086, 481, 1981, 258, 34781, 315, 5694, 13, 468, 19011, 350, 552, 1587, 682, 430, 25, 6835, 279, 6742, 264, 7234, 430, 86301, 311, 617, 1202, 30791, 17604, 20349, 15246, 26, 5885, 430, 527, 5438, 68653, 26, 323, 264, 4689, 8430, 430, 279, 1193, 1648, 311, 7417, 279, 6671, 374, 311, 2571, 279, 2363, 2403, 279, 24379, 7147, 13, 5884, 3686, 21939, 279, 2363, 4536, 1431, 459, 3072, 1606, 15525, 5403, 892, 1053, 387, 5675, 13, 1628, 369, 8996, 775, 468, 19011, 350, 552, 374, 11, 433, 753, 264, 2363, 430, 11, 3131, 3940, 11, 18651, 311, 387, 1373, 627, 34, 6536, 64866, 938, 15067, 389, 459, 1825, 4027, 323, 7762, 42320, 308, 5772, 520, 701, 19689, 1304, 279, 25425, 11, 323, 14284, 287, 709, 449, 264, 1695, 2363, 11, 682, 279, 2731, 13, 578, 1890, 5900, 369, 10083, 3095, 26, 1070, 374, 2744, 279, 3987, 430, 13560, 49644, 10083, 3095, 690, 6493, 264, 36899, 11204, 323, 279, 23104, 315, 74354, 690, 387, 76970, 304, 279, 3280, 315, 71912, 13, 2582, 11, 520, 3325, 11, 430, 753, 279, 6562, 13, 763, 279, 1162, 315, 32019, 323, 68921, 1389, 459, 84108, 16850, 10280, 49644, 10083, 3095, 505, 27077, 87856, 11, 58774, 70317, 11, 11186, 20991, 3061, 10647, 323, 76337, 29888, 1389, 430, 753, 539, 11622, 279, 1162, 627, 2181, 8741, 1475, 1457, 323, 1243, 13, 1472, 1518, 264, 2363, 11, 1427, 3201, 323, 1243, 4321, 1203, 323, 3820, 433, 709, 13, 578, 3229, 753, 836, 374, 11537, 719, 499, 4070, 2646, 1373, 1077, 13, 1472, 1093, 279, 2316, 11, 1781, 279, 3504, 1529, 9225, 10578, 26455, 323, 10491, 1981, 35734, 539, 5380, 12487, 499, 636, 433, 2162, 323, 13383, 279, 2363, 374, 264, 2766, 2204, 1109, 499, 3463, 13, 1102, 753, 539, 264, 44488, 2316, 13, 1102, 753, 832, 304, 459, 14529, 4101, 1405, 279, 12084, 323, 81187, 323, 872, 5133, 2457, 1203, 1403, 6603, 13, 4314, 15687, 2736, 3021, 1855, 1023, 13, 578, 5590, 5383, 374, 927, 13, 1472, 13942, 430, 961, 11, 902, 3727, 499, 5895, 1148, 753, 2163, 311, 7142, 922, 1521, 1403, 13, 23371, 11, 622, 920, 13, 4997, 65, 29972, 311, 2567, 279, 2802, 13989, 304, 1077, 1054, 644, 16290, 863, 4101, 449, 32460, 323, 12093, 277, 441, 13, 4718, 2363, 1101, 79476, 2212, 264, 28994, 11, 11124, 12084, 323, 264, 11292, 2442, 30855, 81187, 323, 264, 23347, 315, 1063, 3460, 13, 2100, 1981, 37860, 85252, 469, 77118, 649, 6958, 433, 1022, 30, 1628, 11, 369, 279, 1455, 961, 11, 1364, 1587, 627, 2520, 682, 279, 63836, 430, 649, 387, 83349, 520, 30363, 1389, 323, 1070, 527, 1690, 1389, 433, 753, 4228, 311, 9229, 14254, 315, 1148, 264, 86644, 4676, 30363, 649, 387, 369, 3995, 16483, 13, 6168, 9437, 13016, 315, 279, 17779, 527, 3629, 5115, 93441, 315, 6307, 323, 6062, 653, 66886, 17755, 9045, 13, 578, 5647, 374, 11, 439, 1317, 439, 1070, 374, 11471, 304, 264, 3995, 3229, 11, 279, 11413, 19300, 649, 387, 73695, 369, 1148, 374, 311, 2586, 13, 18156, 1070, 374, 264, 28040, 85365, 369, 430, 30401, 320, 41, 799, 1611, 424, 12249, 4131, 311, 4059, 369, 3515, 78797, 264, 28809, 398, 58671, 1176, 11775, 323, 1243, 13241, 439, 1077, 7076, 14264, 705, 323, 1023, 3115, 11, 4400, 4131, 505, 279, 28016, 11471, 315, 264, 1176, 2363, 13, 1102, 374, 1243, 264, 4322, 369, 1884, 84911, 13016, 994, 264, 17755, 4131, 3235, 369, 902, 90120, 1205, 539, 387, 1903, 13, 763, 279, 9024, 267, 315, 96666, 1908, 17755, 11775, 3805, 11, 527, 1176, 6603, 430, 656, 539, 1373, 1093, 1176, 6603, 520, 682, 11, 719, 810, 1093, 279, 2027, 315, 459, 3229, 304, 1077, 10461, 13, 1628, 11, 430, 374, 7041, 1268, 118870, 1611, 73004, 753, 17755, 432, 23568, 389, 279, 9332, 283, 11335, 704, 25, 1093, 433, 753, 279, 2027, 315, 264, 6721, 627, 791, 11249, 927, 1148, 42675, 1054, 90092, 3074, 863, 19579, 1054, 261, 14546, 30363, 863, 19579, 1981, 9336, 11, 19579, 8996, 53944, 279, 2363, 80778, 287, 586, 374, 1701, 520, 430, 4545, 311, 7124, 1521, 11124, 4375, 11, 374, 832, 19883, 311, 6678, 1524, 279, 1455, 2237, 62166, 6742, 311, 19614, 1523, 279, 24379, 16893, 315, 6784, 59644, 3078, 13, 578, 17931, 527, 97892, 13, 578, 8661, 90187, 38309, 13, 578, 18539, 315, 15671, 7982, 11, 8530, 2288, 1790, 13, 578, 12283, 21646, 505, 21959, 311, 21959, 3339, 904, 30296, 1990, 36717, 1524, 16127, 311, 77277, 627, 2127, 6062, 25530, 1732, 1436, 636, 22568, 627, 27689, 420, 9622, 15203, 23763, 14880, 33107, 15623, 1354, 13, 362, 2766, 3010, 311, 279, 17779, 4717, 1109, 1023, 23763, 15316, 1778, 439, 96833, 323, 51291, 3258, 11, 33107, 15623, 1354, 11887, 1202, 1866, 6883, 315, 89489, 449, 279, 7671, 263, 3816, 79967, 13, 7671, 263, 3816, 753, 6603, 527, 659, 51704, 389, 279, 79967, 753, 3997, 439, 25, 92113, 1820, 1888, 11, 1455, 27877, 34416, 17422, 2561, 304, 279, 5064, 51279, 1442, 279, 7195, 3254, 2316, 37326, 418, 42581, 555, 90402, 31994, 374, 904, 28137, 11, 279, 7419, 1288, 2997, 279, 3492, 1054, 442, 685, 863, 304, 10107, 11, 49025, 12197, 1606, 279, 5357, 315, 37326, 418, 42581, 374, 11, 323, 27656, 389, 11, 264, 30363, 627, 4599, 358, 8667, 389, 311, 70232, 26226, 11, 358, 22306, 264, 22381, 304, 856, 9306, 311, 279, 2515, 430, 1070, 1053, 387, 264, 2128, 3477, 315, 20776, 2057, 8817, 418, 367, 2391, 856, 1176, 1060, 315, 14740, 13, 763, 77653, 11, 358, 4762, 1288, 617, 8208, 369, 279, 16351, 12306, 13, 1472, 3974, 11, 499, 4048, 627, 4516, 11, 1148, 449, 832, 3245, 323, 279, 1023, 11, 264, 1060, 5946, 11, 719, 279, 8063, 14958, 13989, 320, 19171, 11, 358, 29695, 311, 5774, 4221, 922, 1148, 1053, 3621, 422, 1071, 3477, 4745, 311, 3769, 553, 570, 1628, 1981, 6881, 433, 374, 13, 362, 3477, 315, 20776, 311, 8817, 418, 367, 555, 30750, 51203, 648, 13, 1102, 1288, 4762, 733, 2085, 5605, 11, 719, 1070, 374, 539, 264, 3254, 74315, 3492, 304, 279, 35306, 10430, 55676, 323, 358, 1047, 13, 1226, 3287, 1431, 1524, 4879, 311, 12700, 68824, 488, 13, 24805, 4423, 320, 609, 77103, 11, 719, 79537, 527, 43317, 8, 8774, 1077, 11471, 311, 1373, 449, 603, 11, 7344, 2574, 1053, 387, 2204, 13, 1226, 4805, 2646, 1440, 11, 690, 584, 5380, 14262, 311, 8817, 418, 367, 374, 279, 3446, 315, 264, 3828, 11, 1077, 3070, 11, 323, 1077, 5679, 13, 2582, 7344, 433, 753, 279, 3446, 315, 264, 8334, 11, 813, 6424, 753, 3090, 21970, 11, 323, 813, 7463, 2007, 13, 60410, 98844, 8674, 4131, 311, 8817, 418, 367, 449, 1077, 13219, 29793, 311, 4632, 264, 4264, 1296, 369, 423, 9206, 5818, 6917, 11, 37102, 64, 1254, 52264, 13, 2405, 483, 300, 56256, 11, 17352, 315, 8817, 418, 367, 320, 28956, 22540, 323, 26060, 705, 47310, 430, 1070, 2643, 387, 20784, 3278, 320, 438, 11000, 264, 3564, 29447, 1694, 9124, 8, 704, 520, 279, 1254, 52264, 8961, 13, 2405, 258, 4536, 1431, 16475, 311, 20784, 3278, 389, 17966, 2001, 2288, 3958, 1606, 60410, 753, 27653, 779, 10508, 449, 50581, 11, 1364, 2643, 10885, 627, 23956, 3445, 11, 10035, 11, 3564, 374, 12765, 11, 719, 1193, 279, 33165, 3169, 11, 323, 60410, 374, 2771, 1364, 753, 2133, 311, 387, 15338, 704, 6424, 90798, 13, 3639, 8741, 1828, 30, 31597, 45214, 287, 11, 1343, 278, 416, 11, 26000, 58822, 3090, 40825, 11, 3070, 97712, 11, 64788, 291, 45715, 11, 390, 3953, 11, 88263, 11, 10186, 10102, 11, 96368, 3953, 11, 323, 7463, 13, 2876, 14647, 304, 430, 2015, 13, 60363, 560, 311, 2019, 430, 264, 2763, 315, 6308, 574, 67904, 304, 279, 3339, 315, 420, 3446, 627, 3923, 30, 1472, 1390, 264, 11944, 11, 13790, 81763, 30, 24327, 430, 499, 1373, 279, 2363, 13, 2030, 1373, 1057, 3477, 1176, 13, 1226, 342, 1136, 627, 791, 892, 706, 2586, 311, 2571, 1203, 279, 46866, 323, 3493, 264, 45264, 33692, 1139, 279, 9358, 79236, 315, 393, 13396, 13, 1442, 499, 4510, 682, 315, 279, 2363, 20954, 52280, 38291, 92258, 6017, 10349, 30668, 11, 10772, 311, 387, 25406, 13, 578, 4920, 10826, 80645, 1957, 1618, 520, 393, 13396, 374, 539, 682, 430, 27877, 520, 3115, 13, 763, 2144, 11, 279, 4339, 1054, 73047, 1729, 2489, 863, 2586, 311, 4059, 627, 791, 1920, 8638, 5042, 3403, 13, 18312, 17782, 505, 12283, 11, 505, 36717, 11, 505, 8743, 15749, 323, 11, 1475, 1457, 323, 1243, 11, 505, 5150, 2363, 44569, 2768, 279, 9473, 315, 3300, 477, 6807, 1990, 393, 13396, 60138, 323, 1071, 2363, 44569, 13, 1226, 1522, 2212, 15671, 323, 14827, 19786, 13, 2030, 7170, 1389, 539, 682, 279, 892, 11, 719, 7170, 1389, 264, 2363, 1120, 23874, 1070, 323, 29972, 311, 1893, 26654, 627, 6403, 279, 84108, 24830, 3161, 578, 49113, 555, 42287, 14594, 1215, 11, 65163, 507, 529, 697, 14722, 323, 56004, 17200, 627, 4054, 315, 279, 1455, 74252, 287, 18845, 311, 1935, 264, 3412, 315, 30363, 374, 279, 7097, 2065, 315, 279, 3577, 13, 17331, 5699, 323, 3254, 15671, 27083, 11, 23348, 617, 3719, 279, 4228, 733, 4791, 40148, 13, 763, 19225, 30363, 11, 1694, 961, 315, 279, 3772, 374, 439, 11890, 264, 3752, 18027, 439, 279, 3776, 9072, 304, 19001, 82, 315, 2362, 13, 578, 6742, 1205, 539, 387, 2728, 4205, 7953, 430, 832, 3492, 25, 3577, 13, 25095, 889, 29166, 420, 60993, 79439, 2643, 439, 1664, 28779, 44451, 369, 3577, 369, 682, 279, 14289, 2136, 279, 3577, 706, 2586, 311, 7891, 553, 304, 30363, 13, 3639, 374, 11, 8530, 11, 1524, 810, 74252, 287, 374, 3249, 13, 29308, 11, 3249, 30, 3234, 279, 5578, 30363, 3229, 323, 279, 5578, 30363, 6742, 2216, 4430, 279, 4279, 9354, 315, 279, 3772, 30, 8876, 14188, 13016, 11, 6463, 16483, 11, 315, 30363, 1501, 709, 304, 21391, 3772, 477, 527, 279, 15223, 315, 64592, 13028, 26365, 277, 72418, 279, 4279, 9354, 10334, 5084, 17821, 627, 29132, 1027, 264, 961, 315, 279, 5663, 1824, 10745, 315, 1579, 2978, 19071, 6980, 320, 278, 20582, 439, 27803, 56739, 439, 16475, 311, 264, 7200, 73287, 8, 358, 3463, 358, 1047, 264, 5128, 1695, 21455, 315, 279, 7200, 3217, 13, 5046, 3388, 11, 358, 2646, 4024, 311, 264, 1579, 2978, 449, 459, 5150, 62198, 7200, 11, 323, 8659, 539, 832, 1405, 279, 3560, 315, 24074, 3682, 574, 1778, 264, 4106, 398, 57310, 323, 21095, 927, 2316, 439, 304, 30750, 469, 331, 3145, 529, 17559, 12317, 13, 1628, 1524, 422, 358, 1047, 11, 358, 20781, 1781, 279, 3217, 1053, 617, 1027, 439, 30311, 627, 39, 8564, 67417, 25, 81363, 304, 5234, 1283, 2053, 22020, 279, 7060, 6811, 1990, 459, 51052, 15398, 323, 264, 9615, 52229, 832, 13, 578, 4846, 1253, 26456, 439, 6573, 17422, 422, 24895, 555, 3831, 4477, 11, 7373, 8040, 5885, 323, 264, 5016, 7899, 13, 2030, 16343, 430, 44378, 7234, 449, 10269, 5885, 323, 279, 1193, 3245, 279, 6742, 5334, 374, 264, 1317, 11, 41630, 1373, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 28576, 28269, 11, 15274, 11151, 1994, 11, 67113, 89853, 11, 20733, 380, 11, 323, 90602, 1122, 11, 293, 13, 520, 1050, 9799, 11, 264, 2678, 6424, 315, 279, 75007, 15564, 389, 279, 2206, 817, 11, 34061, 11, 220, 1591, 4448, 12, 577, 661, 11, 220, 8953, 20, 26, 294, 13, 1070, 220, 508, 6186, 11, 220, 10005, 22, 13, 1283, 470, 12, 281, 7017, 813, 53805, 520, 279, 9243, 3159, 7926, 315, 4969, 3532, 4618, 323, 5246, 1306, 10862, 279, 67113, 17120, 304, 813, 10068, 6424, 13, 1283, 574, 3288, 311, 279, 6747, 275, 6629, 520, 445, 4618, 11, 88549, 568, 6052, 264, 1060, 3010, 369, 4913, 11, 220, 22, 4723, 12, 348, 1402, 11, 220, 8258, 17, 13, 1283, 8272, 279, 5912, 14307, 11, 312, 12, 3846, 2299, 6141, 2617, 304, 220, 8258, 23, 13, 578, 1403, 2768, 1667, 568, 7543, 520, 22213, 713, 11, 34118, 5190, 7978, 11, 323, 304, 220, 11123, 15, 574, 21489, 35808, 516, 269, 315, 19675, 520, 17440, 2192, 13, 578, 1828, 1060, 568, 574, 23217, 311, 1050, 54, 77, 11, 719, 574, 4732, 1570, 30026, 311, 264, 10716, 315, 54641, 902, 568, 5762, 3156, 220, 11123, 20, 11, 994, 568, 574, 21489, 7491, 315, 4236, 520, 17440, 2192, 13, 5810, 11, 304, 220, 11123, 23, 11, 568, 6244, 2132, 1239, 306, 315, 7978, 323, 574, 1101, 24073, 311, 71721, 279, 21182, 323, 84470, 268, 14307, 520, 22213, 713, 13, 19337, 1639, 311, 386, 5418, 496, 4970, 555, 4605, 350, 14722, 11, 279, 11495, 12513, 78, 39, 66, 48725, 12, 93029, 269, 315, 279, 3363, 323, 35238, 3502, 30653, 4843, 315, 279, 47983, 304, 38915, 11, 568, 89194, 389, 279, 8976, 79723, 2391, 279, 76834, 3771, 72, 25960, 323, 3010, 409, 12, 282, 2954, 279, 33235, 520, 264, 586, 10430, 304, 279, 6424, 14321, 13, 2052, 420, 1047, 1027, 28902, 555, 279, 1797, 11, 889, 1047, 279, 24617, 315, 9298, 279, 35050, 11293, 311, 21847, 555, 8766, 28269, 596, 3709, 285, 535, 12496, 323, 86929, 6975, 13, 4740, 2380, 1667, 439, 32499, 315, 1050, 9799, 11, 8766, 28269, 574, 2663, 311, 279, 1239, 2301, 315, 17440, 2192, 323, 2380, 1667, 3010, 11, 220, 868, 6664, 11, 220, 10861, 23, 11, 568, 574, 16689, 36031, 13, 578, 5954, 2530, 315, 279, 10896, 349, 1051, 91670, 5304, 305, 9008, 304, 220, 10861, 24, 13, 763, 220, 11908, 17, 568, 1578, 89194, 264, 3388, 520, 22213, 713, 11, 7999, 311, 813, 33651, 439, 264, 89853, 13, 1283, 1828, 5762, 279, 5274, 315, 32499, 315, 1050, 9799, 369, 2380, 50024, 3878, 3156, 11, 304, 220, 11771, 16, 11, 568, 574, 312, 96805, 36031, 13, 763, 220, 11771, 21, 568, 6137, 323, 304, 4330, 1667, 8308, 813, 28284, 323, 78856, 990, 11, 279, 330, 9370, 1764, 328, 13, 666, 7085, 305, 31559, 944, 285, 6515, 1013, 2192, 277, 372, 4411, 34495, 14252, 460, 1, 320, 777, 348, 3145, 13, 14851, 3980, 11, 220, 11771, 21, 12, 3971, 570, 1115, 990, 1047, 1027, 86382, 311, 1461, 555, 279, 7491, 4689, 315, 279, 2015, 7154, 3116, 12, 9562, 1667, 1603, 13, 1102, 574, 264, 27442, 2077, 311, 264, 6896, 72, 12, 73352, 315, 813, 4846, 18105, 520, 17440, 2192, 11, 323, 433, 19089, 264, 4689, 7631, 11, 439, 374, 69457, 555, 1202, 17009, 304, 61759, 5410, 47634, 13, 763, 220, 10005, 19, 11, 1418, 4958, 12, 6892, 264, 4948, 4751, 439, 36031, 11, 8766, 28269, 4756, 264, 1391, 408, 2411, 11, 1101, 1664, 3967, 311, 279, 5817, 337, 5174, 1917, 11, 304, 4848, 47634, 11, 279, 330, 9370, 1764, 8279, 74696, 328, 13, 8888, 6043, 11, 274, 535, 1391, 408, 2411, 279, 39073, 7673, 320, 46521, 30, 713, 11, 220, 10005, 19, 4390, 28576, 28269, 596, 990, 374, 32971, 555, 264, 51794, 1742, 11, 6293, 1245, 6514, 11, 323, 93111, 91518, 26, 555, 1664, 13205, 20406, 37601, 323, 24473, 11, 2867, 43321, 834, 12, 25826, 5247, 13, 1102, 21467, 4315, 279, 6522, 1081, 268, 12, 259, 5548, 389, 800, 13, 11355, 13, 1102, 374, 97564, 369, 1202, 54368, 291, 13970, 23691, 11, 279, 7384, 369, 902, 527, 15107, 14090, 505, 279, 34014, 76995, 561, 950, 3925, 315, 42701, 285, 8683, 12, 62905, 11, 507, 13, 393, 13, 763, 813, 16033, 8198, 8766, 28269, 9428, 2530, 264, 24070, 85193, 2521, 2191, 11, 304, 902, 2361, 11, 4869, 11, 568, 912, 5129, 11545, 264, 1633, 2294, 2768, 4994, 315, 813, 1866, 2978, 13, 44493, 12365, 11, 8766, 28269, 13656, 13544, 439, 264, 90602, 1122, 315, 11447, 13, 1283, 374, 832, 315, 279, 43780, 16483, 889, 617, 25351, 41202, 265, 389, 279, 2978, 315, 279, 23950, 292, 19150, 13, 763, 813, 26078, 76, 950, 468, 28908, 12, 220, 826, 11, 8766, 28269, 574, 264, 29329, 4562, 315, 813, 2015, 323, 264, 27989, 84795, 315, 800, 13, 11355, 11, 14017, 30543, 369, 279, 17025, 315, 279, 36959, 596, 11928, 45572, 13, 423, 625, 1908, 304, 11984, 12, 6892, 11, 568, 574, 22443, 311, 1884, 2212, 1461, 13, 1283, 574, 653, 12, 1323, 15154, 304, 813, 10278, 2530, 323, 264, 893, 315, 23788, 449, 278, 11, 1790, 2728, 311, 56357, 311, 279, 77097, 23916, 2453, 306, 627, 16366, 12717, 4375, 11, 28858, 1884, 9932, 11, 527, 279, 2768, 25, 330, 10254, 2833, 372, 24018, 355, 279, 39073, 26, 364, 320, 43, 6614, 11, 220, 10005, 24, 1237, 330, 1951, 308, 13140, 34014, 645, 73078, 31747, 47007, 54607, 11677, 689, 384, 30372, 380, 689, 10078, 320, 77591, 713, 11, 220, 11123, 20, 1237, 330, 2009, 270, 316, 44618, 348, 833, 67, 409, 662, 9258, 550, 61, 83, 408, 361, 9955, 309, 99895, 1370, 1208, 31605, 12, 73352, 56939, 6569, 36891, 1, 320, 68977, 1355, 12898, 72, 2053, 11, 220, 10861, 15, 1237, 330, 43, 7211, 56414, 8195, 13, 2537, 656, 302, 38647, 409, 1208, 22291, 409, 279, 38469, 409, 358, 22827, 104957, 61, 409, 17440, 2192, 1, 320, 10861, 25, 18, 1237, 330, 849, 25807, 43665, 951, 33766, 919, 1765, 514, 293, 1116, 409, 29449, 328, 13, 393, 27, 312, 514, 281, 2070, 7505, 48896, 96860, 1, 320, 10861, 20, 1237, 330, 2009, 270, 316, 44618, 2463, 316, 28022, 1370, 514, 293, 1116, 4829, 1056, 300, 864, 1634, 198, 451, 7505, 48896, 96860, 5233, 330, 49, 61, 1042, 662, 662, 662, 6440, 386, 13, 800, 307, 1055, 569, 11, 921, 5770, 483, 409, 34896, 68962, 11, 8065, 70927, 409, 4538, 5345, 38469, 5019, 82711, 386, 911, 13, 409, 435, 61, 8301, 263, 5233, 330, 32, 2749, 597, 386, 13, 800, 307, 1055, 569, 662, 20370, 1208, 513, 95959, 5345, 38469, 5019, 386, 911, 13, 435, 61, 8301, 263, 5233, 330, 10156, 2461, 409, 358, 6, 23156, 5233, 330, 10835, 38469, 3930, 270, 316, 44618, 2463, 316, 28022, 1, 320, 77591, 713, 11, 220, 11908, 16, 1237, 330, 49, 67, 1042, 264, 358, 26248, 40095, 294, 22827, 3127, 6853, 1, 320, 11908, 19, 1237, 330, 10835, 38469, 662, 662, 662, 45973, 358, 68070, 26407, 556, 3930, 13081, 689, 12, 308, 44618, 40321, 61, 68, 1370, 514, 73578, 61122, 288, 818, 1, 320, 10066, 62799, 11, 220, 11908, 23, 1237, 330, 32845, 24483, 3930, 432, 13, 393, 13, 356, 13, 432, 13, 8766, 28269, 498, 19685, 555, 3765, 9117, 445, 301, 44191, 7905, 320, 17, 348, 3145, 2637, 12366, 11, 220, 10336, 21, 4390, 43, 7255, 20507, 83, 42339, 55724, 362, 670, 51380, 304, 6433, 764, 479, 372, 356, 1759, 355, 578, 337, 13, 320, 46521, 61, 713, 13, 220, 10005, 24, 1680, 386, 11283, 4816, 304, 27304, 11, 409, 279, 337, 13, 31747, 16016, 445, 301, 44191, 265, 13, 864, 1594, 311, 8409, 24483, 3930, 426, 13, 393, 13, 8766, 28269, 320, 60704, 11, 220, 10336, 21, 705, 358, 26, 21670, 43813, 11, 362, 6, 316, 1546, 12, 1206, 859, 11, 8105, 11, 220, 4386, 19, 627, 41, 13, 432, 13, 29179, 43, 89, 627, 97003, 11, 320, 37196, 4178, 72, 8, 64850, 409, 11, 264, 8753, 3352, 2889, 292, 18640, 11, 90602, 1122, 11, 16422, 380, 11, 39603, 380, 11, 323, 62245, 483, 671, 6465, 11, 293, 13, 220, 9800, 20, 520, 4673, 1082, 304, 26987, 91674, 26, 294, 13, 220, 914, 6790, 11, 220, 11286, 16, 520, 12366, 13, 1283, 6137, 813, 7978, 520, 12366, 11, 470, 7058, 34, 7017, 264, 3388, 315, 19675, 323, 54641, 1603, 384, 574, 63134, 1667, 315, 4325, 11, 323, 1243, 11, 520, 279, 1715, 315, 813, 61700, 812, 4024, 311, 27008, 323, 3010, 311, 14128, 275, 4918, 311, 4007, 46995, 652, 74193, 13, 2030, 6520, 10379, 287, 912, 3709, 39, 99895, 369, 2383, 11, 568, 29329, 1455, 315, 813, 892, 311, 17649, 13, 578, 4216, 4648, 315, 813, 6699, 320, 67215, 409, 33919, 11, 315, 459, 2362, 8753, 3070, 13517, 505, 358, 273, 6953, 7424, 35206, 11, 323, 33116, 409, 3320, 718, 5048, 2933, 8, 6688, 1461, 279, 6776, 568, 12974, 315, 34118, 653, 5721, 43868, 813, 19214, 4007, 315, 12197, 13, 68587, 398, 84060, 311, 92066, 323, 3010, 311, 7671, 62799, 11, 409, 33919, 29329, 5678, 11, 369, 264, 4261, 11, 11622, 311, 279, 4007, 315, 18341, 323, 37366, 13, 1283, 2736, 5762, 304, 1081, 66, 303, 266, 77, 279, 65555, 315, 800, 12898, 41954, 315, 29042, 292, 417, 304, 1556, 73, 283, 11, 323, 279, 28885, 683, 315, 350, 12119, 15867, 88, 304, 14986, 81, 8511, 11, 994, 813, 9191, 10868, 20263, 11, 889, 1047, 305, 411, 14200, 6197, 264, 1633, 97706, 2324, 11, 15187, 7376, 813, 14944, 315, 10671, 264, 3341, 34232, 1122, 11, 323, 40207, 304, 12617, 315, 64850, 813, 1403, 671, 1395, 1065, 13, 44564, 9607, 373, 951, 13149, 616, 4918, 323, 800, 12898, 45506, 21430, 2922, 6, 21364, 2727, 13, 4740, 1063, 65437, 409, 33919, 11928, 1124, 11, 1243, 10862, 279, 7365, 315, 800, 13, 87691, 12, 6587, 11, 323, 3010, 574, 1903, 264, 5912, 671, 6465, 13, 666, 768, 12, 13544, 568, 6197, 264, 1633, 14943, 5411, 2324, 323, 733, 10379, 268, 1142, 813, 1647, 2352, 552, 449, 2294, 550, 74193, 13, 1283, 574, 5423, 56246, 788, 369, 279, 6300, 9466, 685, 315, 1647, 5174, 26434, 323, 449, 430, 1665, 304, 1684, 36646, 11, 304, 220, 3965, 21, 11, 279, 62282, 315, 813, 40274, 11, 3765, 6465, 9084, 95674, 409, 73934, 784, 88, 13, 12220, 279, 8431, 25981, 430, 59097, 9822, 520, 420, 4261, 279, 1647, 2352, 73, 6, 315, 800, 12898, 20131, 301, 21430, 12, 358, 6, 21364, 2727, 574, 42241, 14763, 13, 578, 671, 6465, 293, 67039, 726, 574, 14134, 54117, 311, 6056, 14850, 505, 279, 43643, 1154, 315, 4208, 11, 323, 594, 4591, 11, 369, 2875, 18852, 11, 520, 5034, 263, 11, 452, 15844, 11, 12366, 11, 323, 304, 279, 28885, 683, 315, 24172, 1892, 625, 88, 13, 578, 96322, 568, 1047, 311, 737, 1126, 3427, 304, 813, 28068, 2727, 94908, 983, 82, 11, 813, 92947, 519, 311, 321, 323, 4007, 11, 323, 813, 14943, 5411, 9466, 12, 459, 1634, 27115, 56467, 813, 2890, 11, 323, 1418, 19994, 304, 11233, 596, 449, 813, 4333, 46092, 480, 408, 1347, 569, 11, 568, 8636, 520, 279, 71561, 4216, 4325, 315, 36498, 55541, 13, 17723, 662, 16514, 28016, 304, 279, 71708, 315, 279, 8993, 315, 14539, 12, 328, 61, 85, 5192, 258, 627, 3915, 279, 1938, 389, 902, 568, 10862, 279, 6747, 275, 6629, 11, 409, 33919, 743, 16038, 682, 2848, 2194, 7978, 323, 29329, 1461, 28248, 24121, 311, 279, 4007, 315, 279, 77005, 13, 5414, 9200, 18000, 323, 25363, 65767, 36861, 12, 296, 812, 320, 383, 6267, 18341, 323, 20023, 449, 35044, 53500, 323, 16437, 8, 9147, 1461, 311, 656, 1790, 369, 279, 991, 408, 367, 315, 279, 1495, 323, 279, 4495, 18412, 12, 259, 367, 315, 1690, 40634, 47869, 304, 279, 9441, 77005, 13, 5414, 19214, 4315, 279, 77005, 574, 12095, 13, 44069, 29874, 1122, 5797, 13, 5414, 12717, 4375, 527, 25, 320, 16, 8, 330, 50, 13, 16431, 269, 3893, 29874, 1122, 5797, 72, 43516, 8019, 21557, 6987, 483, 1, 320, 60704, 11, 220, 10132, 24, 1237, 264, 2132, 323, 2731, 14002, 9922, 304, 220, 11286, 18, 13, 320, 17, 8, 330, 15577, 337, 811, 1880, 11470, 1, 320, 60704, 13, 220, 16, 13, 18712, 570, 320, 18, 8, 330, 49, 21, 261, 21, 811, 9090, 65832, 1, 320, 60704, 11, 220, 10895, 18, 4390, 7, 19, 8, 330, 50, 13, 16431, 269, 3893, 29874, 1122, 5797, 72, 1200, 355, 3395, 64, 1, 320, 60704, 11, 220 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 32, 5730, 606, 374, 264, 2694, 418, 9373, 323, 8147, 9235, 2579, 13378, 11, 2744, 1903, 505, 32720, 66008, 13, 4800, 11495, 15603, 11, 1202, 2450, 927, 279, 3347, 5743, 315, 11026, 706, 16625, 279, 91590, 315, 279, 4196, 79, 7918, 6985, 5654, 13, 578, 1888, 24190, 617, 91270, 10968, 389, 4367, 11, 449, 19297, 323, 9341, 304, 279, 30050, 57528, 323, 304, 279, 3243, 727, 13, 53123, 11, 74757, 606, 706, 17427, 459, 27373, 2704, 11, 22571, 66352, 11, 449, 279, 1888, 10507, 32145, 264, 8335, 11, 21261, 11, 53500, 323, 23965, 430, 374, 36659, 1093, 912, 1023, 627, 2170, 304, 904, 13378, 5654, 11, 74757, 606, 24190, 649, 387, 71974, 555, 4367, 11, 3582, 433, 374, 2646, 12136, 26, 1063, 1205, 311, 7417, 11, 3885, 527, 6904, 2915, 1695, 11, 449, 264, 1948, 17203, 315, 9749, 9958, 13, 4452, 11, 358, 3021, 311, 7142, 24190, 430, 1253, 387, 2753, 1664, 3967, 719, 527, 3339, 43855, 430, 527, 9615, 3927, 323, 13548, 11, 37810, 279, 17743, 315, 1884, 430, 1903, 1124, 13, 358, 1766, 420, 520, 362, 8510, 9895, 72808, 292, 8083, 435, 300, 14559, 480, 3394, 627, 37, 300, 14559, 480, 3394, 374, 7559, 1063, 30335, 8931, 11226, 315, 6383, 6863, 11, 304, 279, 4827, 25501, 315, 279, 6366, 12799, 10426, 13345, 13, 78811, 1203, 304, 220, 5926, 20, 555, 3383, 4111, 435, 300, 14559, 11, 433, 574, 1243, 264, 14098, 323, 36581, 8961, 11, 3339, 1063, 13378, 369, 15652, 304, 6383, 263, 2423, 16283, 13, 763, 279, 220, 5162, 15, 82, 11, 813, 4538, 320, 1820, 384, 621, 90492, 480, 3394, 8, 6773, 311, 5357, 279, 8961, 389, 13378, 7982, 11, 3339, 2100, 525, 11, 4196, 79, 7918, 6985, 323, 64612, 43855, 627, 644, 220, 4468, 24, 11, 279, 12675, 574, 28088, 555, 813, 26419, 11, 42701, 3394, 323, 3383, 4111, 11, 323, 814, 617, 6724, 24411, 279, 12675, 323, 1202, 43855, 13, 2435, 7882, 311, 23759, 17808, 304, 220, 3753, 19, 1606, 814, 1047, 3970, 520, 1176, 1450, 279, 6372, 315, 61257, 323, 39999, 76195, 389, 872, 7126, 9011, 48092, 82, 2890, 23210, 18010, 1884, 28367, 3956, 439, 584, 2011, 5201, 279, 20957, 11, 279, 13723, 323, 7138, 11, 9011, 15406, 42701, 3394, 3309, 757, 13, 2468, 279, 892, 11, 814, 1051, 17808, 83407, 304, 279, 5654, 11, 994, 1455, 2103, 3463, 1778, 6848, 1051, 13088, 13, 3296, 220, 2550, 15, 279, 97547, 304, 4367, 574, 2867, 13, 23804, 287, 433, 4726, 11, 4829, 1430, 62134, 1908, 12371, 61002, 12659, 617, 1027, 20011, 2533, 220, 1049, 21, 627, 8142, 814, 1866, 1120, 220, 508, 6520, 315, 4363, 11, 814, 1101, 617, 40705, 449, 70077, 430, 990, 1234, 872, 38217, 11, 18702, 264, 4726, 220, 1041, 6520, 13, 4314, 70077, 1047, 311, 5625, 311, 17808, 5528, 13, 15483, 459, 27204, 6835, 435, 300, 14559, 480, 3394, 2680, 311, 30050, 57528, 7559, 4028, 279, 18732, 11269, 323, 2585, 927, 14098, 4367, 26, 779, 814, 617, 264, 7029, 2134, 315, 2024, 299, 17260, 323, 52252, 36680, 311, 4128, 5304, 627, 644, 5369, 311, 279, 3685, 4196, 79, 7918, 6985, 323, 1202, 2579, 66008, 320, 10803, 85, 2259, 11, 4563, 9799, 606, 323, 432, 2159, 258, 6985, 705, 1070, 9011, 48092, 82, 480, 867, 276, 11437, 11, 921, 569, 27476, 352, 11, 480, 1565, 64, 11, 17929, 354, 2895, 343, 822, 323, 42116, 85, 62799, 304, 4251, 5636, 8930, 9363, 323, 17929, 354, 85178, 304, 2579, 13, 32140, 11, 499, 9011, 48092, 657, 1505, 814, 1304, 1322, 325, 58761, 11, 64304, 337, 3394, 11, 2100, 525, 323, 4196, 79, 7918, 6985, 16662, 358, 26460, 53862, 315, 872, 1866, 13, 2684, 374, 1101, 2895, 28279, 323, 33213, 5707, 13, 2030, 279, 1972, 3446, 1618, 374, 872, 74757, 606, 11, 902, 814, 6137, 449, 279, 220, 3753, 19, 24724, 11, 7438, 264, 1176, 4984, 304, 220, 3753, 24, 13, 11450, 11, 814, 1304, 2212, 220, 2636, 11, 931, 27474, 824, 1060, 304, 2860, 11, 315, 902, 220, 1041, 11, 931, 374, 74757, 606, 11, 2737, 872, 43772, 11, 2663, 1708, 668, 78, 627, 791, 3243, 727, 574, 5918, 304, 220, 1049, 18, 323, 9523, 311, 279, 25375, 315, 13238, 18200, 420, 690, 387, 7315, 37612, 7711, 555, 279, 842, 315, 420, 1060, 13, 578, 74757, 606, 66008, 527, 3805, 1773, 4588, 14297, 369, 3116, 4038, 1603, 26422, 11, 449, 264, 1579, 21801, 315, 4563, 9799, 606, 66008, 1511, 13, 29562, 479, 811, 527, 1317, 323, 6435, 13, 26676, 3149, 20043, 12019, 527, 1511, 439, 2478, 41580, 42400, 649, 37586, 449, 279, 1579, 2237, 315, 52252, 13465, 323, 84913, 13200, 323, 264, 16075, 68736, 15635, 15375, 5836, 1579, 5990, 315, 17509, 98026, 320, 13114, 570, 1102, 374, 1101, 264, 3428, 1355, 360, 764, 324, 17942, 320, 4291, 912, 83778, 324, 1511, 520, 682, 304, 1403, 315, 872, 43855, 705, 323, 30249, 22658, 1606, 1193, 30280, 263, 635, 374, 1511, 311, 7060, 279, 13378, 627, 7009, 1005, 502, 323, 2132, 25700, 42293, 38971, 3703, 462, 14295, 320, 438, 11, 358, 10555, 11, 264, 1633, 2678, 21801, 315, 2326, 38971, 8, 311, 68736, 323, 15196, 279, 74757, 606, 1603, 56941, 13, 9843, 279, 20955, 374, 12146, 279, 43855, 527, 8220, 304, 3544, 120859, 76591, 38971, 11176, 72, 1603, 11176, 2785, 13, 578, 4459, 1920, 5097, 220, 2166, 4038, 11, 449, 279, 74757, 606, 272, 4707, 5946, 389, 311, 1005, 369, 4196, 79, 7918, 6985, 505, 872, 4948, 1060, 627, 35897, 86529, 527, 3752, 4147, 555, 8776, 90885, 8083, 30050, 4967, 11, 449, 4272, 1303, 311, 6144, 505, 279, 65350, 83109, 430, 527, 21420, 323, 40652, 304, 420, 3158, 13, 578, 2890, 315, 279, 86529, 374, 2867, 311, 1518, 1524, 304, 12688, 11, 449, 3504, 31665, 15042, 369, 6307, 893, 554, 323, 279, 12371, 61002, 18003, 12329, 30576, 13, 358, 574, 8104, 4529, 449, 279, 9024, 1481, 29616, 54623, 20011, 311, 2567, 1523, 30050, 17884, 76056, 11, 6197, 555, 264, 8104, 1097, 20857, 320, 438, 17813, 8, 11523, 261, 301, 627, 1966, 420, 70960, 4034, 11, 358, 1101, 18841, 430, 435, 300, 14559, 480, 3394, 706, 264, 19913, 40574, 53030, 17434, 2288, 13, 6104, 1778, 8518, 26006, 617, 3719, 78014, 304, 15704, 11, 358, 574, 8104, 25408, 555, 279, 1648, 435, 300, 14559, 480, 3394, 990, 449, 872, 10977, 13, 1789, 3187, 11, 1070, 374, 264, 3243, 336, 1802, 2447, 430, 11951, 51242, 3995, 1274, 449, 3361, 3966, 304, 64304, 337, 3394, 323, 1070, 527, 1023, 89493, 2561, 369, 1579, 35789, 323, 12374, 4236, 627, 37, 300, 14559, 480, 3394, 374, 3752, 4147, 555, 77975, 66196, 323, 2271, 287, 369, 502, 6848, 311, 13488, 323, 7417, 11, 323, 420, 2289, 311, 279, 43855, 323, 9404, 1903, 13, 1666, 1664, 439, 279, 912, 1355, 360, 764, 324, 43855, 814, 617, 11838, 279, 1469, 395, 15377, 32720, 25313, 2070, 15105, 311, 1893, 264, 32720, 25313, 2070, 8930, 9363, 323, 17929, 354, 85178, 767, 3978, 278, 43855, 11, 2225, 315, 902, 527, 19018, 11, 9250, 323, 5107, 311, 1304, 13, 11205, 5652, 9526, 374, 279, 9886, 315, 264, 27282, 19321, 20644, 59279, 538, 4042, 88079, 2663, 30800, 276, 11, 1903, 11622, 505, 4563, 85, 2259, 66008, 15042, 304, 64304, 337, 3394, 323, 11000, 279, 1193, 832, 389, 279, 3157, 1389, 323, 1633, 18406, 433, 374, 2288, 13, 220, 1954, 4, 315, 872, 5788, 374, 35990, 11, 902, 374, 1695, 3754, 369, 603, 627, 9011, 15406, 52822, 3923, 9011, 48092, 82, 1828, 30, 9011, 15406, 11, 358, 2610, 13, 42701, 3394, 14362, 13602, 323, 43632, 11, 449, 264, 2840, 396, 304, 813, 8071, 13, 29005, 15406, 52822, 40, 9011, 48092, 76, 7422, 315, 2555, 13, 9011, 15406, 8489, 11, 358, 9011, 48092, 67, 1093, 1461, 311, 1304, 264, 2478, 27474, 315, 4158, 72, 2117, 15587, 4196, 79, 7918, 6985, 11, 279, 10437, 2579, 13378, 505, 902, 279, 9235, 11549, 74757, 606, 574, 13517, 14592, 13, 44840, 11, 814, 9011, 48092, 265, 3815, 279, 1314, 3245, 1314, 627, 2460, 420, 1903, 856, 4034, 33596, 323, 13548, 1389, 358, 10456, 279, 10824, 315, 14154, 6677, 11, 3441, 10670, 13868, 552, 323, 6617, 5557, 13, 2030, 15871, 358, 574, 1618, 311, 1456, 1708, 668, 78, 11, 872, 43772, 74757, 606, 1389, 1436, 433, 3974, 709, 311, 279, 9045, 1694, 1903, 5380, 791, 1742, 315, 1708, 668, 78, 74757, 606, 374, 8147, 11, 48351, 323, 1317, 62954, 13, 358, 15453, 25735, 433, 449, 4353, 10629, 367, 439, 279, 13200, 2237, 374, 220, 1114, 13, 20, 4, 323, 358, 617, 1101, 1766, 1063, 24190, 2873, 264, 2697, 8987, 37240, 449, 279, 38971, 6514, 13, 34067, 11, 358, 10932, 856, 74757, 606, 1742, 311, 387, 810, 8776, 1389, 30673, 304, 13200, 11, 2019, 304, 279, 220, 868, 12, 845, 4, 2134, 11, 439, 64543, 323, 8335, 527, 1401, 369, 757, 627, 11458, 11, 358, 1205, 77, 9011, 48092, 83, 617, 18290, 29005, 15406, 863, 279, 2466, 18841, 574, 430, 279, 13200, 574, 1633, 1664, 24770, 311, 279, 20545, 315, 14098, 323, 98026, 11, 779, 430, 1070, 374, 912, 40307, 477, 8798, 304, 279, 1742, 11, 1120, 264, 87418, 4785, 1752, 11013, 57676, 11, 56153, 98026, 323, 10748, 2136, 315, 14098, 13, 1708, 668, 78, 374, 264, 52192, 13378, 38913, 11, 719, 449, 264, 49723, 7060, 323, 22443, 15864, 2085, 904, 259, 1036, 292, 25984, 2136, 13, 25215, 374, 279, 38971, 6514, 927, 10655, 29005, 15406, 863, 1070, 374, 3403, 311, 1862, 323, 32172, 449, 279, 14098, 323, 923, 264, 2697, 16603, 323, 42786, 11, 719, 912, 810, 13, 7566, 11, 1070, 374, 1063, 33247, 13465, 11, 719, 279, 13378, 34136, 10625, 11559, 9235, 627, 40, 617, 1766, 1063, 21425, 74757, 606, 1903, 304, 420, 11493, 1742, 649, 387, 63971, 449, 21571, 320, 28407, 98026, 705, 2288, 1790, 64550, 389, 279, 6381, 477, 617, 264, 13310, 315, 11164, 894, 83, 285, 47697, 505, 69063, 52252, 46479, 13, 3161, 1708, 668, 78, 11, 7000, 315, 1884, 15375, 5836, 17910, 527, 3118, 13, 3011, 2362, 13378, 63692, 19321, 20644, 922, 74757, 606, 1694, 459, 11245, 40902, 304, 264, 72426, 56520, 2216, 1587, 3881, 304, 420, 1162, 627, 40, 6818, 3116, 348, 396, 1154, 11, 220, 1049, 23, 11, 220, 1049, 22, 11, 220, 1049, 21, 323, 220, 1049, 19, 11, 311, 13488, 30084, 323, 24724, 23851, 13, 2052, 1051, 2204, 11, 682, 1051, 78909, 9250, 323, 27000, 279, 24724, 4787, 13, 220, 1049, 23, 574, 505, 264, 4106, 1060, 11, 779, 574, 1633, 1825, 323, 22535, 39255, 11, 449, 14198, 49659, 11, 45304, 560, 323, 3776, 41980, 13, 358, 9011, 48092, 67, 7172, 430, 1603, 220, 1049, 22, 11, 902, 574, 264, 36921, 1060, 7438, 264, 2753, 28995, 13378, 449, 2579, 41980, 14098, 13, 220, 1049, 21, 11, 264, 11670, 1060, 11, 374, 1120, 7314, 311, 1501, 1202, 4325, 11, 3177, 6147, 304, 12745, 311, 264, 1437, 19501, 2579, 11, 719, 706, 8040, 810, 23965, 11, 1781, 597, 82965, 11, 15489, 24217, 11, 4237, 82, 323, 51992, 13, 220, 1049, 19, 574, 279, 1455, 78223, 389, 279, 19689, 11, 264, 2697, 2753, 38626, 1109, 279, 220, 1049, 21, 719, 1047, 59708, 8335, 323, 35018, 325, 13, 9454, 398, 11, 358, 9011, 48092, 67, 387, 6380, 449, 904, 32506, 315, 1124, 4999, 2170, 459, 16038, 11, 264, 2478, 2919, 3010, 358, 18507, 2442, 15386, 220, 2495, 2204, 74757, 606, 505, 279, 5652, 220, 679, 17, 24724, 520, 279, 6898, 68, 652, 7675, 74757, 606, 304, 6383, 6863, 13, 87640, 11, 358, 7111, 709, 1884, 358, 1047, 4183, 311, 387, 856, 1948, 4848, 43855, 2085, 14392, 6832, 814, 1051, 13, 1628, 2771, 3403, 11, 1070, 574, 1708, 668, 78, 11, 1524, 3582, 433, 574, 2103, 264, 20929, 6205, 323, 2834, 1431, 387, 6004, 1603, 220, 679, 22, 4999, 32, 5730, 606, 374, 779, 3629, 14183, 311, 439, 264, 650, 3394, 1891, 3344, 275, 15363, 320, 27963, 9439, 22178, 323, 93856, 1515, 27176, 570, 1102, 374, 2744, 264, 13378, 369, 264, 3361, 13402, 2728, 279, 20900, 13, 2030, 433, 374, 3284, 311, 2489, 433, 449, 3691, 439, 1317, 439, 499, 2489, 2410, 449, 2410, 13, 4140, 11, 4247, 66, 6729, 48251, 323, 25309, 682, 990, 1664, 11, 439, 1587, 20330, 2653, 17604, 1093, 2895, 3444, 26367, 5770, 13, 19292, 810, 57899, 11, 3703, 17106, 3340, 56249, 477, 10437, 323, 20897, 26863, 990, 1633, 1664, 627, 644, 279, 6560, 11, 1708, 668, 78, 374, 46433, 22386, 2131, 13, 410, 520, 36945, 75687, 13, 2435, 1101, 617, 279, 81339, 435, 300 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 33763, 37665, 8219, 47477, 10506, 555, 3842, 480, 25, 37633, 8577, 198, 28474, 37133, 389, 45721, 8219, 4987, 5270, 14761, 5014, 198, 2028, 374, 832, 315, 1884, 64876, 358, 1047, 8063, 83, 315, 3815, 682, 856, 2324, 13, 9372, 520, 264, 1917, 2472, 477, 24867, 612, 889, 1053, 539, 17113, 311, 1694, 12304, 922, 21646, 4883, 279, 11813, 315, 4987, 5270, 13, 358, 574, 612, 65101, 856, 7555, 1364, 1436, 387, 439, 1664, 2506, 1047, 1027, 311, 279, 72564, 8329, 304, 279, 220, 1490, 596, 11, 612, 4934, 311, 1518, 433, 1578, 11, 612, 13488, 1063, 315, 279, 25861, 612, 9919, 315, 32164, 612, 34100, 13, 52446, 315, 9293, 612, 3495, 4669, 27852, 54432, 612, 47477, 34307, 292, 25907, 11, 279, 31551, 574, 34070, 1555, 459, 7757, 9266, 11, 279, 49128, 6137, 13, 1628, 1148, 264, 8577, 59162, 1687, 32122, 311, 69173, 65717, 4669, 90972, 38026, 389, 8013, 70502, 505, 7295, 11, 264, 220, 868, 6596, 25402, 11879, 13, 578, 11213, 574, 2539, 11, 2532, 574, 5509, 11, 719, 439, 2744, 1202, 264, 2766, 315, 264, 11161, 13, 93198, 304, 32164, 574, 389, 9899, 11, 5209, 6693, 2254, 892, 11, 612, 1306, 264, 1317, 3868, 369, 18381, 11, 76844, 1555, 279, 19163, 16287, 1385, 13, 320, 9523, 311, 9650, 18661, 389, 1521, 25907, 922, 3300, 9473, 612, 90603, 7609, 1472, 10894, 922, 1694, 19781, 11, 439, 499, 1935, 304, 701, 502, 4497, 40190, 13, 1226, 10273, 1139, 279, 5783, 61834, 14894, 304, 8792, 69173, 65717, 13, 25545, 1063, 6212, 612, 743, 1022, 24919, 420, 2294, 3363, 13, 6193, 279, 1828, 220, 17, 2919, 11, 584, 3952, 304, 264, 259, 5281, 1501, 11, 264, 5951, 7364, 315, 279, 3363, 11, 1047, 1063, 2294, 3691, 11, 612, 14333, 279, 7160, 11, 922, 220, 966, 34, 627, 99886, 847, 367, 1952, 7418, 220, 18, 6634, 11, 520, 220, 16, 5298, 11, 584, 2751, 264, 33605, 311, 279, 31551, 15372, 13, 5659, 1057, 9689, 11, 912, 810, 1109, 220, 868, 4520, 13, 1226, 2744, 527, 2216, 12304, 520, 420, 1486, 11, 3411, 369, 430, 1176, 1684, 315, 1057, 8448, 13, 763, 420, 1162, 45721, 8219, 13, 1226, 1047, 23010, 4147, 449, 452, 3218, 1603, 612, 3021, 279, 7730, 38483, 7434, 13, 73788, 956, 3868, 311, 636, 389, 4580, 11, 617, 264, 9439, 13179, 612, 1063, 16163, 13, 8489, 11, 279, 33605, 10717, 389, 279, 3185, 315, 264, 13326, 2700, 5754, 11, 1828, 311, 264, 1579, 47442, 25675, 13, 7089, 90603, 1051, 26156, 1022, 22961, 1618, 439, 1664, 13, 1226, 2751, 704, 11, 30418, 1057, 5157, 11, 5602, 264, 13225, 304, 279, 25675, 11, 612, 8272, 3885, 1555, 13, 473, 81492, 315, 1274, 11, 912, 7510, 304, 14254, 11, 4106, 7160, 1131, 6583, 437, 13, 1102, 1380, 11986, 1403, 18198, 1051, 13598, 304, 13, 38274, 12504, 1057, 18381, 1022, 11, 1193, 311, 5249, 2500, 1317, 1584, 315, 1274, 369, 9861, 16287, 1385, 13, 578, 1584, 7882, 520, 264, 4224, 6341, 18338, 11, 912, 3805, 390, 2637, 2478, 452, 3218, 41511, 311, 387, 3970, 11, 912, 3090, 3984, 369, 279, 1690, 29920, 22961, 304, 1584, 13, 1102, 38247, 389, 612, 389, 13, 17586, 10712, 279, 12047, 3217, 311, 2457, 13598, 304, 369, 264, 31551, 13, 220, 17, 4207, 304, 4560, 4787, 13, 15936, 389, 452, 3218, 3460, 420, 704, 13, 4314, 527, 539, 279, 1176, 51091, 499, 1390, 311, 3041, 701, 15051, 627, 1966, 8925, 20636, 2751, 389, 4580, 11, 1047, 264, 9439, 13179, 11, 320, 612, 264, 58535, 9168, 315, 90712, 398, 7026, 5, 1766, 1057, 357, 977, 4285, 11, 4395, 4024, 77758, 505, 1618, 13, 5751, 357, 977, 4285, 574, 389, 9722, 220, 23, 11, 6917, 2541, 3185, 13, 69489, 315, 21363, 612, 5942, 3634, 11, 1633, 10882, 4950, 11, 76826, 15197, 449, 17639, 13247, 4367, 49775, 4646, 3984, 705, 6007, 449, 5361, 12006, 2737, 20352, 612, 264, 6727, 315, 12631, 11, 1695, 73271, 11, 32169, 612, 2007, 11, 44952, 7, 449, 220, 17, 16166, 26993, 612, 264, 2007, 705, 9181, 38681, 11, 11033, 25214, 612, 77017, 277, 13, 1102, 574, 7858, 16117, 4335, 13, 1226, 2216, 14333, 1057, 357, 977, 4285, 13, 5751, 3130, 9604, 1821, 8774, 433, 4335, 612, 1664, 71116, 13, 23371, 11, 279, 10535, 1537, 574, 45536, 11, 477, 264, 43713, 7554, 11, 719, 433, 574, 5246, 2231, 1314, 13, 578, 44952, 574, 2294, 13, 2216, 18949, 584, 41867, 369, 433, 13, 19332, 279, 1455, 315, 279, 40798, 2919, 13, 5751, 21455, 315, 279, 45721, 8219, 574, 430, 433, 9922, 311, 387, 264, 6380, 8448, 13, 3161, 1193, 832, 4788, 11, 584, 1766, 279, 5687, 311, 387, 11919, 11, 3137, 1413, 304, 1690, 5157, 11, 612, 24450, 311, 4587, 13, 3011, 3250, 956, 3152, 430, 2532, 574, 2744, 9165, 418, 454, 477, 4062, 13, 35198, 2094, 1051, 1903, 304, 279, 18397, 3130, 13, 4452, 11, 814, 1051, 2744, 7763, 1908, 449, 459, 41258, 13, 44493, 12365, 584, 1766, 279, 5687, 3984, 459, 9250, 2532, 13, 1226, 2744, 1766, 422, 499, 15648, 1203, 11, 2019, 15960, 11, 612, 4322, 1274, 449, 5201, 11, 499, 636, 22785, 1695, 2532, 627, 99542, 1113, 2212, 279, 30881, 574, 14470, 4382, 2887, 750, 14333, 279, 2678, 6875, 612, 7757, 42030, 13, 40741, 400, 14519, 1051, 2561, 11, 612, 7757, 10648, 574, 5526, 11, 1524, 422, 25753, 1051, 264, 2697, 6435, 13, 1226, 4024, 311, 264, 2478, 6566, 54248, 11, 612, 5423, 14333, 279, 4410, 4060, 16675, 8714, 3195, 18273, 612, 11291, 11233, 13, 800, 867, 6795, 449, 279, 47477, 10783, 832, 3814, 574, 459, 1567, 539, 311, 387, 13942, 13, 6193, 220, 1049, 1274, 389, 279, 1948, 9722, 1694, 289, 13111, 449, 813, 31710, 612, 279, 15400, 2867, 85421, 13, 4946, 2646, 10894, 430, 627, 3923, 584, 8104, 1093, 922, 452, 3218, 374, 279, 5873, 2561, 994, 433, 4131, 311, 3691, 627, 2520, 17954, 11, 584, 2744, 7731, 4994, 304, 279, 33782, 43873, 13, 2684, 574, 264, 810, 7347, 6727, 1618, 1109, 304, 279, 19558, 43873, 11, 719, 439, 814, 1051, 1828, 311, 1855, 1023, 11, 499, 1436, 1948, 709, 701, 6727, 612, 2010, 4994, 13, 3277, 279, 9282, 574, 8009, 11, 584, 5042, 14896, 505, 279, 61886, 304, 279, 19558, 43873, 612, 3952, 433, 311, 279, 13482, 4821, 13, 26823, 369, 16163, 13, 28206, 574, 1695, 11, 1664, 30205, 612, 10666, 13, 27171, 14, 82694, 7682, 354, 18414, 2744, 2561, 13, 3861, 19347, 1053, 387, 279, 6932, 315, 279, 19558, 43873, 13, 13759, 2288, 99832, 11, 2646, 3403, 3130, 11, 612, 264, 2766, 315, 264, 9406, 372, 520, 3115, 13, 14141, 3966, 312, 83360, 627, 35, 258, 5079, 1051, 3361, 23210, 6818, 682, 279, 15926, 13, 6017, 291, 12920, 279, 3814, 1603, 449, 912, 5435, 13, 9984, 488, 15926, 320, 449, 5066, 2532, 10405, 315, 1990, 400, 605, 612, 220, 508, 604, 883, 20072, 2467, 351, 822, 13, 15155, 5130, 13, 7839, 7029, 5873, 612, 73898, 2532, 920, 1619, 1618, 11157, 13, 85343, 7830, 13, 14077, 2294, 5873, 315, 4179, 10011, 71097, 3806, 11, 12380, 612, 682, 279, 37375, 13, 24118, 398, 30205, 612, 449, 11919, 2532, 13, 54859, 1618, 11157, 13, 2009, 426, 15931, 13, 26745, 18397, 13, 7839, 8753, 43131, 5130, 13, 15668, 73898, 2532, 13, 94666, 1618, 13, 51683, 4458, 13, 328, 38174, 5130, 13, 5629, 892, 584, 617, 1047, 420, 955, 315, 3691, 13, 15668, 39953, 612, 1578, 1633, 11297, 2532, 627, 11663, 15926, 16867, 40503, 13, 7839, 5130, 449, 459, 25679, 389, 39345, 17677, 612, 26863, 13, 2360, 5066, 6900, 719, 584, 1766, 499, 1550, 1205, 311, 2363, 264, 2007, 13, 4802, 39190, 48403, 13625, 68300, 612, 31048, 93496, 13, 423, 1619, 1618, 220, 18, 3115, 2212, 220, 23, 5298, 13, 15037, 30315, 810, 1109, 220, 20, 4520, 369, 264, 2007, 13, 7839, 2532, 612, 39953, 3691, 13, 1789, 264, 864, 14177, 7172, 612, 1063, 31385, 39863, 11, 584, 1053, 733, 1855, 3814, 311, 16132, 15504, 50397, 13, 4427, 2294, 15596, 300, 24895, 555, 3974, 34997, 13, 1226, 1766, 21662, 5115, 11646, 439, 264, 4459, 11, 5423, 13378, 627, 1687, 1051, 1633, 18069, 449, 279, 9282, 11, 5423, 304, 279, 1176, 2046, 14836, 10007, 13, 1102, 574, 17104, 612, 40798, 449, 3177, 29592, 13, 15379, 4787, 1051, 1633, 19858, 21907, 682, 279, 1648, 311, 279, 72564, 8329, 13, 44383, 2751, 709, 264, 2766, 389, 279, 5603, 1618, 11, 719, 389, 4363, 279, 9499, 574, 304, 279, 220, 508, 82, 34, 520, 31552, 13, 35971, 4883, 578, 27206, 11, 279, 10160, 2751, 709, 719, 279, 52840, 14958, 14470, 19858, 13, 1102, 574, 8770, 88, 1618, 11, 719, 430, 1120, 3779, 311, 279, 23347, 315, 279, 2035, 13, 35971, 1555, 279, 5370, 34100, 276, 12006, 11, 279, 3090, 374, 19858, 11, 719, 279, 29592, 649, 387, 9439, 13, 3277, 20705, 279, 95790, 304, 279, 2893, 33774, 5613, 11, 420, 574, 279, 1400, 5086, 1938, 11, 449, 3892, 13931, 4460, 13, 52449, 10411, 11, 994, 15246, 311, 1825, 52840, 11, 279, 8448, 23255, 264, 2697, 11, 5423, 304, 16643, 29592, 13, 12851, 367, 2403, 9581, 54950, 574, 5995, 369, 603, 627, 42821, 76339, 90796, 4848, 452, 3218, 3521, 76339, 13, 23371, 814, 527, 11646, 11, 719, 4934, 9096, 315, 4059, 612, 4868, 13, 9479, 892, 311, 420, 3158, 1053, 3495, 9678, 23277, 13, 9995, 5230, 1926, 13, 53300, 13, 220, 18, 4207, 38107, 1455, 315, 279, 3363, 505, 264, 5951, 13, 15668, 1695, 8641, 13, 31319, 9671, 61343, 31536, 2629, 8529, 754, 71244, 432, 1982, 727, 13, 2539, 1938, 11, 1317, 6678, 4028, 279, 393, 1141, 300, 311, 636, 1070, 11, 922, 220, 17, 220, 16, 14, 17, 4207, 832, 1648, 13, 8489, 5922, 433, 13, 63294, 315, 28443, 616, 32370, 281, 56458, 612, 69089, 13, 1472, 1436, 4321, 4315, 1124, 13, 24805, 922, 220, 16, 220, 16, 14, 17, 4207, 1070, 13, 8681, 1938, 13, 549, 939, 4381, 689, 763, 45020, 13, 14986, 315, 279, 13970, 9527, 612, 1139, 279, 24405, 13, 58038, 51331, 612, 62312, 369, 16163, 13, 31536, 2629, 74604, 300, 13, 31571, 10789, 520, 1628, 3394, 5657, 13, 220, 16, 14, 17, 1938, 13, 16478, 36069, 1139, 35231, 3485, 279, 3363, 612, 31571, 10789, 1203, 1523, 1555, 13952, 11, 2294, 311, 14841, 279, 14535, 13, 10180, 220, 17, 14929, 4321, 13, 31319, 9995, 83, 13, 62579, 94023, 30743, 612, 11940, 9419, 1195, 278, 3315, 13, 8797, 1938, 389, 5951, 11, 449, 832, 6596, 31551, 389, 22553, 13, 11510, 315, 18417, 304, 22553, 9474, 13, 7839, 6325, 315, 36373, 437, 13, 55678, 13, 1221, 6583, 816, 350, 6347, 13, 8797, 1938, 389, 98644, 34552, 8448, 612, 12504, 1022, 520, 17149, 13, 7839, 7364, 315, 3363, 11, 449, 2523, 24553, 12141, 311, 264, 59485, 11, 612, 9250, 7364, 315, 3243, 727, 449, 10688, 612, 16163, 627, 1687, 1051, 389, 420, 8577, 311, 21054, 264, 8063, 13, 2057, 1518, 1063, 8056, 51331, 612, 30405, 13, 2468, 3115, 584, 1047, 311, 50346, 13520, 13, 2057, 656, 433, 304, 279, 6981, 315, 264, 31551, 8448, 11, 1694, 289, 1619, 612, 294, 1619, 612, 304, 279, 2883, 315, 1063, 2294, 1274, 374, 2555, 584, 690, 2646, 10894, 13, 1952, 420, 13402, 584, 1051, 810, 1109, 6380, 449, 452, 3218, 612, 279, 45721, 8219, 13, 9865, 198, 4518, 810, 45721, 8219, 31551, 8544, 871, 397, 4518, 47477, 34307, 292, 596, 45721, 8219, 10506, 871, 397, 28474, 37133, 389, 45721, 8219, 4987, 5270, 14761, 5014, 198, 34, 9068, 3477, 25, 34589, 198, 34748, 18143, 11, 12988, 2541, 3185, 13, 8681, 2162, 369, 1403, 5672, 13, 2052, 279, 97181, 499, 1053, 1205, 13, 8489, 5922, 279, 5066, 311, 617, 264, 44952, 627, 791, 7648, 80953, 70251, 297, 9522, 2127, 1252, 57546, 8339, 47477, 9522, 59883, 323, 64394, 24537, 287, 4212, 4999, 22, 1938, 28366, 47477, 505, 13000, 1030, 9522, 14809, 70251, 18374, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 9906, 323, 9901, 499, 369, 17136, 362, 7723, 6109, 11, 279, 198, 14957, 596, 1455, 4642, 2930, 362, 1609, 5362, 4029, 0, 1115, 2816, 374, 2162, 311, 198, 2017, 220, 1313, 11, 931, 264, 1609, 5362, 43195, 505, 2212, 279, 1917, 323, 14861, 264, 198, 9328, 2134, 315, 264, 1609, 5362, 13650, 2737, 12823, 11, 19675, 11, 3925, 345, 28400, 269, 11, 50048, 4819, 11, 279, 30633, 11, 323, 810, 627, 2746, 499, 6562, 311, 5249, 304, 279, 20954, 477, 1005, 279, 1023, 11084, 198, 20922, 2561, 11, 499, 690, 1205, 311, 4254, 1176, 13, 25532, 374, 198, 3518, 9887, 1949, 323, 5097, 1193, 264, 2478, 4520, 311, 4686, 779, 1879, 709, 3432, 4999, 11649, 11, 1120, 1203, 505, 4498, 3190, 13, 20695, 2011, 617, 8208, 1664, 11, 1606, 358, 2846, 1193, 12512, 832, 33964, 320, 2414, 22095, 8, 662, 578, 15687, 505, 17368, 362, 1609, 5362, 1550, 264, 2294, 2683, 6376, 4395, 709, 13, 1628, 279, 9282, 7846, 956, 617, 1027, 2731, 627, 791, 3217, 315, 4967, 449, 779, 1690, 2204, 1274, 574, 2294, 11, 719, 1148, 1550, 358, 1935, 3201, 30, 358, 8101, 892, 690, 3371, 11, 706, 18725, 264, 1609, 5362, 5614, 30, 12522, 358, 1903, 5208, 430, 358, 8434, 956, 617, 15393, 422, 358, 1047, 20186, 2162, 5380, 36064, 574, 32874, 11, 2555, 5127, 11, 379, 664, 598, 4317, 323, 27275, 598, 4317, 649, 29243, 311, 323, 32172, 810, 17693, 1139, 872, 264, 1609, 5362, 13, 5659, 39867, 587, 581, 5169, 47329, 72, 11, 358, 9687, 11, 330, 5451, 701, 2547, 11031, 11, 1243, 701, 1450, 1210, 1226, 6575, 505, 1118, 449, 1193, 20548, 311, 2567, 577, 441, 8599, 13, 9479, 1060, 358, 2846, 31388, 398, 2133, 369, 279, 2539, 3190, 320, 1138, 535, 270, 7329, 9012, 11, 5542, 264, 2539, 1938, 6740, 8, 662, 1666, 358, 1427, 1203, 389, 433, 11, 1781, 358, 574, 2288, 12304, 323, 2539, 315, 856, 1866, 8333, 311, 2216, 636, 279, 1455, 704, 315, 813, 538, 13, 29083, 13389, 47329, 72, 12570, 57338, 922, 9455, 279, 42197, 304, 577, 441, 323, 2768, 433, 13, 1628, 422, 499, 1781, 430, 2643, 3063, 311, 264, 8579, 264, 4483, 404, 398, 538, 11, 1781, 1578, 1606, 11, 893, 11, 430, 17240, 8640, 264, 5257, 38912, 538, 662, 763, 10094, 304, 279, 13658, 11, 1364, 15972, 264, 2577, 62788, 24257, 369, 11186, 11, 902, 358, 3077, 2736, 10213, 25565, 662, 8489, 11, 358, 3358, 2778, 369, 433, 389, 279, 3566, 11, 7344, 4423, 596, 8621, 279, 11031, 13, 12220, 430, 538, 11, 1455, 384, 5735, 606, 574, 304, 279, 1925, 14321, 4737, 328, 347, 16357, 47329, 72, 596, 15012, 22530, 538, 13, 358, 4762, 1288, 617, 1027, 1070, 2288, 320, 3178, 22530, 374, 1405, 358, 2216, 656, 1205, 311, 5357, 389, 18899, 705, 1048, 198, 4516, 420, 6693, 320, 37165, 705, 358, 574, 520, 279, 6246, 449, 47329, 72, 323, 2500, 10195, 5575, 11, 369, 264, 330, 56065, 1912, 3343, 11995, 315, 1124, 527, 21630, 23727, 84, 1443, 84, 320, 2203, 6427, 10380, 323, 636, 3871, 311, 6725, 4994, 315, 538, 3131, 264, 2305, 13, 2435, 18719, 757, 320, 14331, 1174, 2500, 6776, 311, 5542, 16715, 779, 1070, 358, 1097, 11, 2288, 13, 1102, 596, 1633, 7185, 11, 323, 11621, 2500, 6324, 389, 362, 1609, 5362, 304, 3878, 315, 520, 22530, 323, 16437, 304, 56941, 323, 46090, 4907, 627, 1688, 279, 842, 315, 1057, 3882, 11, 358, 9152, 311, 842, 709, 3663, 1523, 304, 279, 16763, 11, 13524, 48809, 11, 42644, 1247, 4262, 267, 311, 603, 11, 856, 1314, 1450, 91594, 389, 1948, 315, 459, 3276, 596, 23634, 13, 473, 49986, 11, 358, 3463, 11, 279, 16763, 374, 95856, 1291, 1109, 603, 36514, 11, 358, 1427, 927, 323, 856, 1450, 374, 9960, 627, 4516, 439, 358, 574, 10043, 2162, 449, 856, 1450, 83198, 1139, 264, 3544, 6920, 412, 10747, 10409, 449, 10054, 1174, 358, 574, 7422, 922, 82794, 656, 358, 656, 420, 13, 2876, 2216, 7810, 1303, 856, 1866, 15507, 11, 719, 20910, 1268, 358, 649, 11000, 10552, 3249, 311, 4423, 775, 627, 40, 1541, 956, 1755, 430, 358, 690, 3596, 1629, 1139, 264, 6671, 1405, 358, 1205, 9917, 311, 18167, 13, 358, 3152, 11, 433, 1436, 3621, 11, 719, 7106, 12324, 4536, 956, 961, 315, 856, 2683, 11, 439, 433, 1053, 387, 369, 264, 4379, 9640, 11, 369, 3187, 13, 2684, 527, 1690, 8125, 3249, 358, 1097, 57727, 311, 362, 1609, 5362, 11, 719, 279, 2944, 430, 17135, 279, 1455, 6678, 311, 856, 15507, 374, 430, 358, 1505, 264, 22599, 315, 856, 18330, 2324, 304, 279, 7106, 26434, 315, 362, 1609, 5362, 627, 3112, 430, 6197, 757, 311, 1212, 7422, 922, 279, 4623, 315, 37959, 7537, 13, 1226, 4265, 1027, 7556, 922, 430, 264, 2763, 420, 6693, 11, 1606, 1690, 315, 279, 7410, 3585, 584, 4265, 1027, 36666, 6076, 198, 2181, 596, 10535, 311, 387, 264, 10195, 5575, 1418, 358, 2103, 9167, 956, 15662, 904, 7222, 304, 856, 502, 85959, 13, 1226, 617, 264, 502, 19641, 315, 4236, 11, 1455, 315, 8884, 617, 308, 9917, 3217, 520, 682, 627, 1999, 574, 1633, 37154, 304, 832, 5647, 25, 47329, 72, 1511, 757, 439, 17074, 577, 441, 13, 1628, 1070, 574, 1524, 2500, 3776, 19671, 304, 279, 538, 13, 62400, 11, 358, 1097, 2103, 36366, 13, 2030, 358, 2733, 1695, 304, 430, 358, 1781, 856, 15012, 22530, 374, 14691, 311, 7417, 13, 1102, 574, 2216, 2523, 311, 387, 51249, 2212, 320, 9514, 1440, 499, 2351, 459, 264, 1609, 5362, 39326, 994, 499, 34782, 709, 323, 2019, 330, 3055, 433, 1578, 11, 656, 433, 1578, 89883, 358, 2846, 4560, 311, 3839, 1523, 279, 836, 315, 279, 1566, 15105, 584, 20041, 551, 1403, 1450, 11894, 11, 5899, 40637, 11, 3063, 3428, 11, 1243, 12960, 6916, 5663, 45539, 11, 3041, 577, 441, 264, 2766, 315, 1862, 449, 1949, 1450, 304, 2678, 315, 1203, 1243, 1935, 433, 3201, 323, 802, 25877, 449, 2500, 42430, 11345, 320, 69541, 389, 4156, 11, 10536, 1203, 4579, 1203, 323, 2212, 570, 27687, 13, 15668, 2523, 832, 430, 627, 1966, 279, 1023, 1450, 358, 1047, 311, 3568, 449, 57338, 315, 14733, 61260, 13, 452, 31707, 11977, 527, 12266, 311, 656, 1118, 8638, 449, 13, 358, 3077, 1027, 810, 21699, 555, 1118, 78264, 1131, 578, 502, 4236, 1131, 1664, 912, 4907, 311, 990, 449, 13, 12623, 358, 15562, 1403, 315, 279, 502, 3026, 1051, 31526, 70220, 449, 757, 13, 8489, 11, 358, 3358, 3041, 1124, 279, 3399, 333, 275, 315, 279, 10712, 13, 358, 3358, 387, 2771, 311, 281, 23085, 1523, 1828, 311, 1124, 18396, 627, 5966, 2046, 358, 1550, 856, 7075, 14397, 315, 22109, 311, 3351, 11, 323, 2771, 3403, 11, 279, 21004, 311, 279, 330, 1594, 1, 27212, 922, 264, 4579, 2163, 315, 856, 2163, 17308, 323, 922, 220, 21, 15271, 2875, 13, 16770, 358, 3021, 76851, 449, 872, 1486, 88, 14971, 13, 1219, 54386, 79503, 16691, 4999, 40, 3077, 1027, 7422, 264, 2763, 922, 3249, 358, 1097, 57727, 311, 264, 1609, 5362, 13, 8595, 1587, 433, 4128, 757, 1203, 1578, 30, 8595, 1097, 358, 690, 2785, 311, 27116, 709, 856, 2324, 11, 264, 999, 459, 3596, 49961, 4526, 315, 98675, 11, 36366, 323, 73779, 24569, 11, 323, 11679, 1463, 3529, 2191, 352, 856, 52147, 4885, 555, 26012, 856, 892, 304, 19969, 311, 7491, 420, 1989, 5380, 40, 1781, 1148, 358, 1097, 5108, 311, 11, 520, 3325, 304, 961, 11, 374, 264, 49803, 430, 362, 1609, 5362, 6209, 757, 264, 892, 315, 33862, 430, 374, 7106, 323, 8915, 13, 1952, 279, 5634, 11, 358, 1097, 6724, 10968, 389, 279, 3118, 13, 3092, 4059, 374, 779, 1790, 810, 10968, 11, 323, 358, 5387, 279, 85959, 3629, 449, 264, 49479, 10723, 19451, 627, 13699, 11, 358, 3974, 779, 1790, 304, 856, 2010, 11, 430, 358, 3629, 4322, 856, 2547, 439, 422, 433, 1051, 539, 961, 315, 16691, 13, 1115, 374, 1101, 11, 358, 1781, 11, 264, 29774, 315, 1694, 264, 9572, 1765, 50775, 13, 358, 2103, 1541, 956, 7095, 856, 2547, 1633, 1790, 1198, 3629, 433, 11321, 1093, 1202, 704, 311, 636, 757, 13, 7777, 430, 10578, 94241, 11, 719, 433, 596, 3169, 315, 837, 13, 362, 1609, 5362, 12716, 757, 311, 264, 2035, 315, 16267, 304, 856, 7106, 2547, 26, 264, 3169, 315, 32545, 484, 7246, 9522, 13379, 220, 868, 25, 20, 320, 791, 4961, 340, 791, 4961, 320, 20146, 340, 20, 12, 23, 7189, 1097, 279, 50795, 11, 499, 527, 279, 23962, 13, 3277, 499, 2351, 11096, 449, 757, 323, 358, 449, 499, 11, 279, 12976, 32487, 323, 17808, 11, 279, 24322, 374, 2771, 311, 387, 44611, 13, 34199, 660, 11, 499, 649, 956, 8356, 264, 3245, 13, 33634, 889, 62849, 505, 757, 374, 5710, 6798, 11, 20802, 709, 323, 15338, 389, 279, 7970, 11029, 13, 2030, 422, 499, 1304, 58996, 520, 2162, 449, 757, 323, 856, 4339, 527, 520, 2162, 304, 499, 11, 499, 649, 387, 2771, 430, 8996, 499, 2610, 690, 387, 34793, 311, 323, 31532, 5304, 13, 1115, 374, 1268, 856, 20941, 5039, 198, 28529, 279, 4219, 11, 3063, 3428, 11, 4018, 1523, 449, 9070, 11, 719, 1541, 956, 3041, 709, 701, 4219, 627, 40, 617, 264, 8430, 420, 374, 2133, 311, 3719, 856, 68009, 9522, 40, 6780, 16417, 574, 11537, 320, 78862, 660, 13915, 42433, 8050, 78, 8019, 1295, 570, 22300, 8050, 78, 320, 2527, 449, 17816, 660, 13915, 42433, 8050, 78, 1243, 6541, 311, 76202, 8050, 78, 8, 6612, 2216, 15234, 3156, 358, 15393, 358, 1436, 1101, 656, 433, 41219, 577, 441, 596, 1168, 84796, 389, 856, 4631, 261, 11, 1243, 433, 574, 264, 6710, 315, 19692, 13, 358, 8101, 358, 1047, 2744, 44664, 433, 430, 1648, 304, 1667, 8208, 555, 13, 65815, 8050, 78, 320, 10647, 11894, 1302, 832, 1450, 449, 2225, 6206, 30721, 358, 617, 311, 2019, 433, 374, 1648, 8831, 449, 264, 7802, 13, 23020, 23415, 11, 358, 1440, 433, 596, 279, 1890, 11, 719, 358, 617, 264, 16127, 892, 4737, 577, 441, 596, 8335, 627, 3112, 279, 5938, 28042, 320, 11945, 287, 65815, 8050, 84, 11, 315, 3388, 570, 12040, 704, 279, 46719, 11, 25086, 3881, 42131, 505, 18725, 4219, 1198, 9503, 4276, 11396, 1111, 10009, 3083, 70245, 8606, 4999, 11839, 11, 779, 279, 1695, 3245, 922, 1694, 279, 1193, 5575, 889, 5039, 709, 369, 538, 1198, 499, 636, 311, 5542, 832, 10539, 832, 449, 5647, 72, 627, 791, 3958, 3245, 922, 1694, 279, 1193, 5575, 889, 5039, 709, 369, 538, 1198, 499, 636, 311, 5542, 832, 10539, 19101, 449, 5647, 72, 627, 2675, 1440, 279, 5605, 25, 330, 32, 2697, 6677, 374, 264, 11660, 3245, 10246, 39, 12825, 13, 358, 19635, 279, 1566, 892, 358, 312, 19471, 291, 304, 362, 1609, 5362, 1306, 264, 2478, 1667, 19821, 358, 9152, 311, 6958, 856, 98875, 24569, 279, 1176, 2046, 477, 779, 13, 1115, 892, 358, 3463, 358, 4265, 387, 47578, 323, 636, 304, 1063, 35121, 1603, 358, 3940, 13, 2876, 7941, 3403, 358, 8101, 13, 1115, 892, 433, 596, 856, 2163, 90805, 13, 320, 28632, 315, 1450, 1554, 9162, 52354, 8, 330, 67, 2319, 25765, 96901, 6677, 311, 617, 264, 3831, 3440, 323, 1935, 264, 4498, 15326, 398, 11, 719, 539, 3403, 311, 1440, 2731, 323, 3412, 1203, 3156, 358, 2846, 2216, 1203, 1139, 15326, 15012, 22530, 13, 1102, 574, 279, 4741, 6638, 704, 315, 264, 559, 6431, 56017, 597, 15010, 425, 320, 2203, 6427, 10380, 430, 1550, 757, 304, 627, 12174, 1664, 13, 4800, 358, 617, 311, 733, 433, 6435, 369, 264, 5743, 5672, 13, 358, 1440, 11, 358, 1440, 11, 2564, 4781, 1873, 13, 1115, 374, 539, 856, 65058, 11, 779, 358, 8101, 420, 374, 264, 1695, 6776, 311, 4048, 810, 323, 6725, 430, 4040, 35460, 627, 1966, 279, 10107, 3185, 11, 358, 617, 264, 502, 330, 69, 8958, 43081, 1, 1198, 264, 6883, 502, 841, 454, 48009, 39771, 15411, 4999, 5451, 892, 304, 264, 85959, 304, 1690, 1667, 11, 323, 358, 617, 311, 2019, 11, 433, 6612, 1972, 1695, 4999, 40, 2846, 1203, 520, 2162, 1457, 11, 22128, 264, 13179, 323, 19486, 10054, 311, 2225, 86878, 1131, 323, 1099, 20353, 1093, 264, 893, 18029, 13, 21795, 54, 11, 13378, 16893, 37401, 388, 527, 2294, 369, 86878, 627, 2181, 596, 7185, 26, 358, 2846, 3515, 12544, 449, 102550, 16417, 320, 906, 1051, 36666, 45356, 266, 51737, 102550, 16417, 705, 719, 308, 7723, 16417, 9508, 311, 2586, 1203, 311, 757, 1790, 810, 9539, 13, 358, 2216, 1205, 311, 5357, 389, 20548 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 3923, 374, 264, 18878, 13283, 8771, 41574, 5380, 6600, 395, 38265, 14884, 18878, 13283, 8483, 10181, 706, 11798, 279, 1917, 753, 7928, 28170, 423, 50123, 2115, 9269, 11, 423, 9, 1335, 11, 2533, 220, 1049, 23, 11, 323, 706, 2533, 15042, 311, 2997, 1023, 3062, 37493, 323, 2890, 24915, 13, 578, 423, 9, 1335, 2447, 374, 220, 1041, 4, 4200, 11, 449, 13324, 16351, 709, 4669, 1057, 3566, 2816, 11, 36864, 872, 2930, 2890, 48964, 11, 323, 27666, 459, 520, 25389, 6680, 7858, 1296, 902, 374, 76310, 304, 323, 3135, 527, 8621, 311, 872, 2930, 2759, 13, 2435, 4048, 872, 50123, 5990, 323, 3493, 15525, 2890, 2038, 369, 3495, 439, 1664, 439, 369, 872, 1866, 6873, 922, 1148, 2890, 323, 50123, 6299, 990, 369, 1124, 13, 362, 23851, 315, 279, 2447, 374, 4613, 369, 6593, 19169, 477, 14673, 11, 439, 7633, 3770, 627, 5519, 499, 1390, 311, 16136, 30, 22991, 279, 2447, 430, 1888, 18809, 499, 198, 14139, 389, 3331, 6401, 1389, 656, 499, 1440, 701, 28170, 423, 2237, 5380, 644, 220, 1049, 22, 11, 994, 41046, 38265, 14884, 574, 14454, 11, 433, 574, 1633, 2653, 311, 636, 264, 28170, 423, 1296, 505, 701, 10896, 11, 1524, 3582, 3495, 574, 20884, 4628, 389, 279, 7720, 315, 28170, 423, 5990, 304, 279, 2134, 220, 1272, 12, 1399, 7933, 60648, 320, 1041, 12, 3965, 26807, 337, 7586, 4390, 791, 423, 9, 1335, 2115, 9269, 574, 9405, 13, 4800, 449, 927, 220, 868, 11, 931, 659, 18451, 50885, 13324, 11, 423, 9, 1335, 539, 1193, 8779, 1274, 1935, 6900, 315, 872, 2890, 505, 279, 6981, 315, 872, 2162, 11, 433, 5825, 1790, 4460, 14734, 79804, 3495, 389, 264, 28170, 423, 312, 5282, 41944, 13, 320, 791, 5578, 28170, 423, 41529, 2237, 315, 13324, 304, 423, 9, 1335, 374, 220, 2096, 7933, 60648, 11, 439, 7863, 311, 220, 914, 7933, 60648, 304, 279, 4725, 7187, 4390, 14139, 389, 45774, 423, 612, 44409, 12, 18, 82, 1389, 4702, 439, 449, 28170, 423, 48294, 11, 34998, 12, 18, 48294, 649, 2231, 499, 520, 5326, 369, 21249, 8624, 627, 1959, 220, 1419, 11, 931, 4756, 3495, 16064, 1862, 6928, 2890, 7720, 315, 1579, 34998, 12, 18, 82, 11, 449, 810, 1109, 220, 5067, 15, 12899, 41713, 7720, 11, 927, 220, 1041, 15, 9204, 42631, 7720, 11, 323, 810, 1109, 220, 1049, 15, 9204, 264, 8935, 311, 20335, 4787, 13, 73436, 315, 7978, 4284, 430, 34998, 12, 18, 1253, 3493, 8935, 369, 264, 7029, 2134, 315, 19338, 11, 2737, 51643, 11, 18710, 11, 52564, 11, 88191, 19338, 11, 323, 9572, 13, 35321, 34998, 12, 18, 82, 617, 1027, 5938, 449, 13241, 25702, 734, 11, 4827, 5326, 315, 52857, 11, 5129, 2324, 11, 323, 264, 11293, 8844, 5326, 369, 4648, 505, 904, 5353, 13, 2435, 527, 24629, 369, 4725, 11376, 11, 7294, 12, 4210, 11, 6930, 2890, 11, 50150, 2890, 11, 22852, 1887, 11, 8271, 2890, 11, 4851, 2890, 11, 4725, 26587, 734, 11, 35358, 323, 24569, 627, 2028, 2447, 5764, 459, 44409, 12, 18, 8167, 6680, 7858, 1296, 3235, 449, 701, 28170, 423, 1296, 13, 1556, 44409, 12, 18, 8167, 1990, 220, 23, 4, 323, 220, 717, 4, 574, 5938, 449, 4827, 5326, 369, 4648, 505, 41713, 8624, 11, 19579, 459, 1963, 2753, 1109, 220, 19, 126437, 88755, 41930, 9, 62678, 26891, 5907, 12, 2650, 527, 279, 7718, 37493, 28170, 423, 11, 34998, 12, 18, 82, 11, 323, 61933, 3318, 369, 499, 5380, 1959, 220, 1774, 4, 315, 279, 2326, 7187, 60606, 2753, 1109, 279, 5578, 7446, 16686, 315, 61933, 11, 8617, 527, 1633, 4461, 87544, 13, 3296, 24435, 304, 420, 2447, 11, 499, 690, 4048, 701, 3927, 2077, 311, 73796, 4669, 6680, 7649, 323, 6492, 315, 264, 11944, 48964, 323, 15438, 15194, 315, 13803, 627, 34124, 11704, 264, 5016, 2077, 311, 73796, 477, 50123, 23730, 2663, 279, 19660, 59569, 11, 902, 649, 387, 4245, 311, 9547, 1778, 439, 1510, 2890, 4787, 11, 60071, 2890, 11, 1080, 5392, 332, 13283, 2704, 11, 31010, 11, 56104, 323, 810, 13, 2206, 69774, 701, 50123, 2704, 11, 43468, 23730, 439, 4460, 11, 323, 312, 83255, 374, 279, 1193, 1648, 311, 3371, 422, 701, 50123, 23730, 374, 10695, 499, 11322, 14343, 477, 12974, 50123, 2704, 902, 374, 17791, 311, 4040, 2890, 20124, 13, 1226, 690, 24564, 279, 14890, 828, 323, 3498, 12624, 16064, 389, 1401, 3135, 11, 279, 1176, 1306, 6574, 459, 39148, 2218, 315, 220, 1041, 15, 13324, 627, 14139, 389, 57598, 26211, 12, 8886, 499, 264, 5333, 315, 904, 4325, 449, 912, 1510, 9572, 5380, 33189, 7978, 617, 6982, 430, 19054, 28170, 423, 5990, 311, 279, 11349, 2134, 315, 220, 1272, 12, 1399, 7933, 60648, 320, 1041, 12, 3965, 26807, 337, 7586, 8, 1436, 8108, 279, 39775, 315, 17659, 9572, 555, 220, 1135, 12, 1490, 14697, 41046, 38265, 14884, 374, 4401, 264, 2115, 9269, 311, 1296, 420, 31178, 13, 11215, 220, 1399, 1667, 477, 9191, 11, 449, 912, 1510, 9572, 11, 323, 539, 5131, 1694, 12020, 369, 9572, 527, 5535, 311, 5249, 13, 578, 2115, 9269, 37577, 872, 28170, 423, 6680, 5990, 323, 2890, 3044, 1475, 220, 21, 4038, 369, 220, 20, 1667, 627, 47, 3833, 78973, 3135, 315, 420, 9269, 1051, 10666, 520, 279, 3778, 13581, 369, 39700, 753, 25992, 30155, 304, 220, 679, 19, 13, 4740, 2768, 220, 24344, 3278, 369, 220, 972, 4038, 11, 41046, 38265, 14884, 1766, 459, 220, 1490, 4, 4827, 4478, 315, 17659, 9572, 4315, 1884, 3278, 449, 28170, 423, 5990, 63247, 220, 1135, 7933, 60648, 7863, 311, 1884, 366, 220, 1135, 7933, 60648, 627, 14139, 389, 83627, 1389, 8886, 499, 220, 717, 12, 1114, 5672, 20895, 323, 8173, 304, 18667, 1057, 28170, 423, 4007, 5380, 28528, 323, 50123, 2115, 19622, 617, 1766, 430, 28170, 423, 5990, 7191, 1109, 220, 1272, 7933, 60648, 320, 1041, 26807, 337, 7586, 8, 2391, 20209, 11, 6041, 439, 4216, 439, 3284, 320, 17206, 864, 15204, 1010, 8, 1253, 4827, 39775, 315, 864, 5098, 7342, 11, 13033, 1697, 20335, 11, 1772, 29137, 372, 18710, 11, 281, 770, 566, 14989, 689, 11, 323, 810, 627, 1383, 18667, 420, 4007, 499, 690, 1296, 701, 28170, 423, 5990, 520, 2380, 892, 3585, 304, 701, 20209, 323, 5266, 704, 2890, 3488, 69663, 369, 2225, 499, 323, 701, 46397, 627, 14139, 389, 4078, 220, 16, 53689, 36947, 1389, 8886, 499, 539, 3686, 29704, 719, 6928, 369, 832, 477, 810, 315, 279, 374, 1169, 2849, 3313, 519, 581, 10233, 5380, 2127, 7859, 2547, 315, 6029, 706, 6982, 430, 21249, 37140, 649, 5353, 477, 12178, 1690, 4279, 21249, 19338, 11, 1778, 439, 20335, 11, 449, 5190, 5990, 315, 35693, 37140, 19392, 264, 7191, 5326, 315, 279, 4500, 315, 323, 5255, 49858, 33824, 7119, 21249, 8624, 13, 578, 10824, 315, 7177, 304, 420, 2447, 649, 387, 1511, 311, 1520, 3839, 323, 10299, 37140, 13, 3475, 5343, 527, 279, 28170, 423, 1296, 11, 44409, 12, 18, 8167, 11, 29334, 85588, 8201, 51848, 11, 33320, 9150, 47, 323, 473, 65, 32, 16, 66, 627, 2028, 2447, 690, 1520, 10765, 4754, 4442, 304, 350, 16, 35, 23842, 323, 3313, 519, 581, 1094, 2704, 430, 1253, 1121, 505, 28170, 423, 323, 34998, 12, 18, 40085, 13935, 7649, 323, 6873, 11, 439, 1664, 439, 3493, 5217, 6873, 922, 374, 1169, 3313, 519, 581, 10233, 11, 37140, 11, 323, 1023, 350, 16, 35, 5552, 2038, 627, 5519, 499, 1390, 311, 1629, 264, 50123, 2115, 9269, 304, 701, 15244, 5380, 9230, 64141, 323, 65184, 6401, 4470, 6716, 198, 28528, 32216, 832, 4754, 86919, 315, 28170, 423, 48294, 304, 20209, 374, 864, 5098, 7342, 13, 5075, 5098, 66332, 527, 15499, 5938, 449, 60745, 281, 60384, 11, 10723, 53317, 323, 15690, 11011, 4814, 4315, 1023, 72946, 13, 10771, 311, 279, 5587, 315, 423, 1769, 11, 13489, 220, 24, 13, 21, 4, 315, 682, 24869, 304, 279, 2326, 527, 9405, 89019, 323, 6920, 459, 5066, 2890, 2512, 23104, 315, 400, 1135, 11, 931, 369, 8952, 7194, 7636, 13, 8483, 706, 6982, 430, 19054, 28170, 423, 5990, 304, 20895, 3278, 871, 220, 1272, 7933, 60648, 649, 8108, 927, 220, 1135, 4, 315, 864, 5098, 66332, 7863, 311, 3278, 449, 5990, 366, 220, 508, 7933, 60648, 627, 62647, 1057, 15394, 23214, 0, 374, 264, 1664, 39817, 50123, 2115, 9269, 369, 264, 8952, 477, 28913, 13, 362, 502, 5410, 315, 2512, 374, 9405, 10923, 682, 20895, 3278, 12588, 97128, 2512, 520, 430, 3813, 311, 387, 58677, 369, 28170, 423, 48294, 323, 311, 4933, 872, 41529, 5990, 311, 520, 3325, 220, 1272, 7933, 60648, 439, 5246, 439, 3284, 2391, 20209, 13, 46945, 7384, 369, 6593, 5687, 323, 6978, 527, 5343, 11, 439, 1664, 439, 459, 84969, 2447, 6783, 13, 1102, 374, 11383, 24853, 555, 279, 3813, 323, 5255, 8276, 5220, 1389, 439, 279, 2447, 2853, 374, 1790, 2753, 1109, 279, 28448, 2890, 2512, 19523, 627, 6600, 395, 38265, 14884, 5825, 264, 17033, 8292, 1646, 11, 7526, 11, 3495, 323, 14955, 2949, 220, 1187, 4038, 627, 12, 3475, 28170, 423, 5990, 323, 10519, 63247, 220, 1272, 7933, 60648, 198, 12, 28636, 864, 5098, 7342, 7969, 198, 12, 53253, 7194, 198, 8906, 41046, 38265, 14884, 922, 6041, 264, 14830, 19297, 2447, 3432, 627, 62647, 1057, 15394, 23214, 0, 11799, 19723, 505, 279, 13235, 3907, 315, 4987, 13030, 198, 679, 20, 311, 27740, 198, 25639, 6250, 220, 679, 20, 11, 279, 13235, 3907, 315, 4987, 13030, 11, 1234, 279, 5216, 315, 2999, 13, 29607, 56721, 11, 706, 11798, 41046, 38265, 14884, 753, 34763, 1057, 15394, 23214, 0, 50123, 2115, 9269, 304, 872, 6725, 627, 11769, 6691, 430, 4131, 311, 832, 315, 872, 44335, 369, 6514, 11, 9214, 315, 27698, 824, 1060, 11, 21879, 264, 220, 914, 19792, 39, 8, 35, 1296, 2391, 872, 1176, 97128, 4034, 320, 87184, 220, 717, 12, 975, 5672, 13033, 367, 570, 4740, 34988, 279, 3135, 11, 872, 44273, 1253, 7079, 73796, 311, 5376, 28170, 423, 5990, 11, 6118, 6041, 449, 220, 2636, 15, 81725, 28170, 423, 611, 1938, 320, 50828, 5578, 4441, 28170, 423, 2237, 374, 220, 508, 7933, 60648, 477, 3770, 570, 29560, 38925, 527, 1949, 311, 6978, 1234, 279, 2068, 11, 9523, 311, 279, 55531, 315, 24432, 9469, 4842, 71881, 278, 11, 4953, 13, 578, 44273, 82, 3136, 311, 8891, 6680, 5990, 311, 6106, 871, 220, 1272, 7933, 60648, 6957, 279, 20209, 11, 11383, 7649, 1578, 520, 220, 1187, 12, 1591, 5672, 323, 1578, 520, 220, 1958, 1389, 220, 1927, 5672, 627, 9290, 25, 13538, 279, 2447, 6137, 11, 220, 1490, 4, 315, 682, 872, 6978, 323, 220, 1041, 4, 315, 872, 11904, 3778, 6978, 1051, 3770, 220, 1272, 7933, 60648, 627, 40234, 315, 682, 315, 872, 44273, 82, 11, 927, 220, 508, 16410, 323, 2890, 2512, 12850, 11, 706, 10222, 1555, 1949, 2930, 14691, 6593, 6873, 320, 34, 7614, 8, 14307, 3984, 555, 41046, 38265, 14884, 13, 10355, 1113, 279, 4553, 5687, 520, 386, 2078, 34, 574, 459, 3062, 961, 315, 279, 2447, 11, 779, 430, 682, 315, 279, 5687, 1436, 3780, 1139, 279, 502, 5410, 315, 2512, 627, 98982, 1697, 7384, 527, 1101, 3984, 369, 279, 27698, 311, 1520, 1124, 3619, 279, 12939, 315, 4737, 872, 33690, 13, 1556, 84969, 2447, 6783, 29944, 304, 279, 6873, 323, 1833, 1555, 315, 682, 13878, 315, 279, 2068, 449, 5687, 323, 6978, 627, 2688, 1193, 1550, 386, 2078, 34, 3838, 279, 64955, 12074, 1389, 2999, 82, 13, 10463, 52475, 323, 24785, 25518, 285, 1389, 719, 814, 1101, 1047, 1862, 323, 11006, 505, 8593, 6401, 315, 4987, 13030, 627, 644, 279, 2835, 3770, 2999, 13, 56721, 15100, 1268, 279, 34763, 1057, 15394, 23214, 0, 28170, 423, 50123, 2115, 9269, 4375, 520, 279, 13235, 3907, 315, 4987, 13030, 13, 8876, 6250, 220, 679, 20, 11, 922, 220, 18, 11, 8652, 3278, 4036, 2512, 323, 927, 220, 17, 11, 3443, 6978, 4036, 520, 3325, 832, 28170, 423, 1296, 2391, 420, 892, 13, 320, 7184, 11, 439, 279, 2068, 374, 810, 9749, 11, 682, 20895, 3278, 5371, 28170, 423, 23061, 29275, 39221, 2038, 2561, 369, 220, 16, 11, 20062, 3278, 889, 1047, 520, 3325, 832, 28170, 423, 1296, 2391, 20209, 11, 5039, 279, 1890, 14278, 304, 864, 5098, 7342, 3970, 304, 279, 6931, 14830, 19622, 13, 5075, 5098, 66332, 25983, 439, 28170, 423, 5990, 7319, 11, 709, 311, 220, 1272, 7933, 60648, 11, 323, 1243, 68461, 704, 627, 2118, 3487, 4, 4827, 5326, 369, 864, 5098, 7342, 23246, 1806, 5672, 8, 369, 1884, 449, 220, 914, 19792, 39, 8, 35, 871, 220, 1272, 7933, 60648, 6296, 13, 366, 220 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 85295, 1205, 3495, 1520, 856, 602, 4477, 281, 2943, 7000, 7216, 1306, 449, 4028, 311, 11920, 323, 315, 813, 12146, 505, 505, 832, 20057, 304, 90909, 649, 21635, 1475, 264, 311, 8205, 4400, 374, 30548, 93398, 1205, 4477, 602, 1520, 4321, 1405, 59723, 8205, 922, 8334, 3130, 813, 264, 30676, 627, 4897, 323, 2132, 3131, 323, 315, 2380, 433, 24156, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 279, 3187, 13042, 264, 902, 1306, 315, 1566, 1772, 12, 96797, 11401, 63260, 9221, 320, 30318, 22622, 16106, 279, 51983, 1521, 1053, 5347, 83300, 15034, 1917, 279, 19225, 2237, 387, 9855, 21286, 85163, 24156, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 315, 43241, 10334, 264, 2539, 26018, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 477, 2646, 649, 8530, 430, 279, 5224, 4319, 24031, 2955, 9093, 836, 389, 11401, 315, 21319, 13042, 2949, 30488, 279, 36870, 8, 11401, 37318, 389, 78864, 6449, 2191, 13, 3062, 2949, 25917, 374, 45314, 1879, 41532, 13865, 323, 42933, 279, 1268, 1879, 3217, 41589, 94526, 374, 1990, 1990, 320, 17242, 16753, 430, 1405, 10924, 17151, 5848, 1618, 31720, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 8246, 323, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 1505, 6931, 3293, 90064, 3619, 826, 2955, 988, 2212, 449, 6873, 12976, 279, 477, 320, 20322, 449, 430, 14532, 519, 433, 315, 279, 3156, 374, 12659, 8, 23692, 3060, 49125, 7718, 380, 46095, 13167, 1618, 311, 33398, 6372, 315, 342, 6733, 2019, 323, 3686, 10742, 1690, 374, 555, 430, 311, 19093, 433, 1268, 4725, 4147, 1457, 4248, 67521, 1640, 4147, 304, 6811, 28211, 315, 304, 5448, 12976, 627, 23956, 47066, 304, 5370, 24919, 88549, 8830, 449, 6211, 1180, 304, 1887, 279, 2515, 315, 1505, 3041, 38697, 701, 323, 279, 311, 5606, 49125, 3871, 323, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 323, 7438, 3892, 323, 90064, 29385, 1082, 11920, 449, 430, 1077, 76, 1994, 332, 1233, 374, 1243, 1205, 1520, 602, 13, 11937, 311, 12314, 320, 1220, 22552, 5015, 8, 1268, 2911, 12195, 389, 311, 2555, 31301, 13656, 856, 36881, 8990, 5201, 1665, 8, 4423, 5201, 18570, 323, 311, 2555, 4384, 304, 813, 369, 4856, 374, 4156, 1202, 369, 439, 2463, 37314, 62623, 1139, 323, 2555, 3892, 36498, 439, 14188, 369, 16233, 1892, 554, 734, 1879, 1268, 810, 13656, 555, 2555, 320, 1220, 12195, 6287, 220, 1682, 220, 679, 20, 11, 220, 717, 25, 4370, 1097, 1555, 990, 4255, 988, 24392, 11026, 369, 9191, 33398, 8996, 323, 320, 576, 358, 1566, 13656, 18570, 1879, 1063, 8617, 374, 4236, 6287, 220, 2148, 220, 679, 20, 4856, 4510, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 2753, 13639, 856, 433, 28664, 2987, 627, 70223, 584, 1606, 315, 1077, 6197, 6725, 12823, 3284, 36692, 32006, 4948, 279, 527, 872, 3217, 5788, 5606, 14532, 1697, 5678, 315, 30438, 2753, 420, 1555, 3495, 4477, 856, 5575, 649, 2539, 27129, 279, 1436, 1121, 13633, 568, 304, 449, 9678, 477, 30295, 13639, 11705, 4245, 649, 902, 323, 66343, 9071, 369, 7926, 323, 311, 1205, 281, 2943, 1520, 4477, 856, 3495, 602, 1364, 856, 311, 1521, 1989, 1716, 3629, 1124, 430, 1690, 6725, 1650, 315, 4933, 433, 279, 719, 5788, 7836, 10743, 1047, 922, 1047, 323, 763, 369, 374, 477, 323, 315, 17011, 8830, 1176, 26454, 1920, 4477, 6732, 1093, 1495, 70409, 279, 8641, 627, 5098, 16064, 369, 25441, 35940, 2504, 3600, 3709, 198, 19045, 9071, 4477, 198, 81077, 4477, 2884, 198, 5269, 311, 3350, 459, 9071, 922, 7057, 198, 69191, 1598, 3477, 2532, 198, 76087, 29559, 3600, 198, 20369, 287, 23691, 6220, 198, 4174, 220, 16, 21682, 3495, 5684, 4477, 2532, 198, 1542, 336, 2212, 38664, 32528, 574, 539, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 264, 1550, 20406, 1077, 439, 902, 13, 13878, 323, 6688, 2391, 41468, 304, 1202, 1193, 374, 57622, 311, 9764, 432, 14122, 27456, 568, 439, 11551, 15795, 323, 279, 7645, 902, 4221, 1989, 1023, 65792, 2539, 8530, 49001, 1990, 813, 433, 1990, 311, 59102, 285, 61937, 369, 323, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 13520, 387, 58996, 902, 1053, 2187, 4846, 46232, 315, 9650, 1695, 9071, 1520, 3997, 389, 1618, 57351, 539, 1884, 627, 1128, 36028, 477, 304, 35256, 719, 387, 4205, 439, 28578, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 279, 315, 311, 304, 2015, 9071, 2930, 15012, 9958, 315, 323, 7111, 39371, 1436, 2015, 12314, 311, 477, 927, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 387, 1475, 3585, 439, 9277, 315, 2333, 300, 481, 264, 477, 315, 264, 2884, 10278, 2530, 7636, 358, 3738, 28211, 1521, 649, 1109, 477, 430, 369, 5575, 16064, 2930, 4330, 1124, 357, 4893, 60717, 2191, 430, 323, 1684, 922, 12624, 323, 4846, 617, 2107, 2265, 13610, 814, 4500, 315, 82285, 69532, 439, 1778, 20954, 2015, 3235, 31768, 1065, 292, 5899, 279, 12974, 36498, 279, 362, 71109, 627, 50, 3195, 291, 1405, 10924, 279, 330, 14724, 1, 813, 1461, 2533, 902, 315, 2362, 1253, 33235, 4059, 706, 430, 8821, 1314, 315, 1070, 59723, 420, 6287, 220, 1627, 220, 679, 20, 11, 220, 20, 25, 975, 9012, 311, 279, 3582, 5196, 421, 2544, 1047, 323, 574, 574, 568, 1047, 568, 279, 2391, 264, 28235, 3823, 706, 1555, 279, 5678, 3060, 3512, 1572, 602, 3495, 856, 813, 46643, 374, 3268, 4205, 1193, 46096, 1778, 2383, 311, 430, 813, 682, 311, 5304, 2515, 323, 1618, 59723, 369, 264, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 16168, 279, 2383, 656, 4726, 279, 5502, 13, 7342, 4156, 32098, 649, 3995, 892, 439, 1461, 813, 574, 4333, 813, 79212, 1385, 5099, 568, 439, 650, 2194, 311, 4856, 439, 7106, 3463, 20333, 3871, 439, 32285, 472, 288, 83486, 35201, 304, 2391, 279, 315, 15038, 279, 1888, 9071, 44332, 704, 59772, 14265, 505, 315, 3060, 304, 323, 6688, 3060, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 10213, 1283, 1521, 29026, 627, 28192, 20018, 706, 406, 3412, 20789, 45926, 50922, 295, 539, 810, 3350, 10278, 1934, 433, 13336, 264, 279, 323, 7626, 2643, 374, 1749, 304, 84795, 279, 902, 389, 2187, 2212, 40054, 93583, 3325, 990, 6617, 34833, 813, 459, 311, 6848, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 315, 46719, 268, 5097, 690, 7119, 4059, 1520, 315, 4839, 14247, 10671, 2555, 430, 279, 779, 1566, 279, 1903, 433, 1027, 7446, 4028, 6666, 3345, 279, 7609, 9129, 10831, 81436, 281, 2943, 45278, 1023, 902, 35482, 45314, 315, 2085, 1866, 315, 1461, 1405, 49001, 24863, 323, 477, 387, 6892, 90589, 1505, 315, 33459, 1109, 7182, 2011, 264, 3596, 374, 1614, 430, 912, 50863, 527, 902, 8051, 315, 369, 374, 315, 323, 3925, 39307, 9966, 7138, 6244, 4459, 8333, 430, 15235, 77, 3536, 1884, 1202, 912, 1047, 1555, 5064, 1520, 449, 14584, 4477, 3547, 3536, 1520, 3495, 1205, 602, 281, 2943, 4477, 856, 1070, 4245, 66693, 7296, 264, 1455, 24021, 15629, 398, 3970, 22014, 15716, 813, 26390, 16472, 912, 1614, 19093, 3130, 5912, 279, 872, 1047, 1475, 706, 3927, 5995, 315, 1202, 1202, 315, 904, 311, 7140, 304, 627, 27125, 3060, 555, 430, 477, 420, 4411, 2017, 6603, 279, 37755, 574, 315, 11937, 653, 29968, 323, 4885, 1778, 4423, 304, 7555, 1234, 2085, 420, 7154, 6220, 11213, 48335, 813, 568, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 568, 3300, 627, 2785, 84, 5706, 16064, 7729, 198, 68534, 16064, 369, 7782, 198, 77, 1138, 1413, 9071, 16064, 499, 649, 3780, 198, 11921, 4477, 3600, 198, 2173, 6514, 2011, 15792, 13693, 449, 45408, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 315, 279, 6957, 617, 6957, 10015, 420, 264, 37038, 1505, 568, 990, 810, 315, 16025, 826, 279, 813, 279, 16627, 627, 54567, 810, 264, 617, 26184, 813, 439, 3131, 4642, 2802, 323, 1972, 6244, 47014, 6498, 2361, 42418, 389, 73739, 369, 282, 1463, 323, 2571, 4661, 439, 279, 59588, 2058, 23104, 315, 1633, 315, 1027, 1418, 36881, 10150, 12401, 1077, 810, 14188, 31954, 617, 311, 9635, 14769, 1070, 6671, 13291, 71561, 1124, 2144, 279, 1633, 323, 26403, 20097, 21425, 8659, 13160, 1666, 41829, 1633, 602, 8753, 505, 52864, 11741, 10297, 574, 1436, 7665, 43121, 311, 1903, 459, 369, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 449, 4128, 311, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 279, 430, 8617, 11084, 1505, 814, 2631, 1077, 9635, 1060, 29859, 279, 304, 63854, 82, 279, 30764, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 4250, 11125, 627, 27131, 574, 682, 79157, 315, 11734, 1824, 3017, 1614, 1824, 3017, 315, 76445, 704, 1364, 311, 6832, 13113, 839, 555, 14076, 311, 4869, 2646, 2294, 690, 814, 779, 323, 2539, 2753, 3892, 1579, 311, 813, 79362, 311, 13015, 323, 22353, 584, 656, 23691, 369, 499, 3117, 1887, 38126, 2646, 58759, 315, 7000, 264, 505, 279, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 26365, 278, 1109, 8254, 2967, 11059, 889, 1205, 602, 1520, 856, 3495, 7491, 279, 22109, 3131, 6920, 369, 279, 80779, 42712, 1828, 430, 4024, 12675, 627, 7968, 3339, 41193, 3117, 87248, 41178, 98845, 4477, 304, 12062, 3325, 433, 2515, 1694, 304, 2103, 574, 1317, 279, 304, 706, 406, 315, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 1418, 5196, 10597, 6612, 389, 7119, 574, 627, 1548, 449, 8617, 10597, 311, 6574, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 18538, 56089, 315, 12974, 279, 304, 41765, 323, 279, 4273, 1543, 15716, 568, 1139, 264, 12205, 24980, 315, 9441, 961, 1664, 389, 7895, 6873, 6129, 315, 26184, 270, 768, 902, 5613, 315, 315, 505, 15316, 279, 279, 502, 22934, 6656, 387, 311, 7636, 1603, 5687, 291, 279, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 31252, 34555, 574, 323, 15629, 398, 279, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 311, 961, 9508, 1790, 279, 4546, 9635, 70764, 37318, 430, 574, 1436, 389, 2978, 15274, 13, 527, 25565, 3242, 64476, 704, 13015, 1234, 279, 459, 430, 42418, 1603, 3857, 20654, 4147, 29329, 315, 7294, 7424, 6793, 323, 15274, 779, 836, 13146, 41109, 1263, 1122, 279, 1664, 568, 430, 10728, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 813, 10597, 2536, 12, 434, 8643, 32125, 59886, 656, 574, 315, 2363, 5266, 311, 315, 374, 555, 32367, 13016, 24897, 33953, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 813, 279, 304, 7664, 602, 4477, 281, 2943, 1520, 3495, 856, 1205, 311, 279, 527, 2015, 4648, 813, 311, 16630, 2728, 4846, 921, 44191, 417, 264, 13168, 2574, 11537, 627, 14516, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 477, 315, 602, 1390, 4423, 311, 656, 856, 29559, 1317, 77004, 4856, 279, 3560, 719, 1790, 369, 3582, 872, 1866, 24552, 889, 719, 31220, 2478, 279, 19029, 1051, 994, 50162, 369, 2294, 5644, 10597, 8223, 430, 1667, 539, 574, 60449, 5544, 304, 9017, 904, 690, 48015, 60449, 5544, 279, 872, 10705, 649, 499, 656, 856, 29559, 4587, 6587, 367, 70903, 4856, 1253, 279, 9502, 389, 1268, 311, 1884, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 6587, 367, 6302, 1455, 315, 1051, 430, 279, 279, 574, 578, 6680, 25351, 13118, 82495, 3885, 2391, 304, 1109, 7731, 404, 1705, 369, 3026, 38330, 872, 279, 19971, 315, 9076, 1053, 1027, 4587, 1047, 6832, 1455, 311, 15038, 2503, 656, 8636, 315, 990, 13, 1124, 3952, 1364, 14850, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 9635, 11937, 627, 81077, 4477, 6873, 198, 20369, 23691, 2930, 1457, 198, 1820, 9071, 7061, 198, 30712, 5224, 3600, 198, 2520, 1023, 323, 311, 279, 1364, 13962, 779, 16106, 6498, 9581, 25611, 82325, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 1457, 78513, 25847, 1047, 2816, 656, 636, 80679, 6548, 492, 28578, 1027, 3025, 14841, 1990, 1027, 2011, 315, 13, 270, 768, 374, 23347, 1455, 279, 1180, 279, 17551, 6237, 3062, 420, 27008, 4156, 1603, 602, 1205, 1520, 4477, 856, 3495, 281, 2943, 315, 52678, 279, 1514, 922, 315, 627, 35, 6, 37909, 9131, 20263, 818, 856, 602, 3495, 281, 2943, 4477, 627, 13622, 1520, 281, 2943, 856, 4477, 3495, 1205, 602, 7281, 352, 1306, 3508, 279, 279, 27008, 1457, 1514, 602, 281, 2943, 1520, 527, 1077, 1047, 311, 45319, 34350, 64747, 46095, 449, 25565, 719, 636, 471, 315, 264, 2450, 814, 2132, 279, 627, 73867, 323, 323, 26175, 264, 279, 420, 36113, 439, 902, 323, 3892, 387, 315, 1855, 36498, 420, 4623, 1193, 19159, 323, 5084, 311, 7600, 3750, 12745, 279, 52159, 19675, 374, 279, 27924, 422, 1493, 31352, 387, 2587, 2155, 396, 3600, 837, 1890, 28601, 539, 912, 315, 279, 315, 2802, 779, 13118, 2204, 22552, 8834, 343, 7623 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 644, 420, 4101, 315, 9908, 11, 358, 690, 3504, 1401, 6020, 4211, 323, 420, 374, 279, 2132, 4652, 389, 279, 3917, 13, 358, 690, 3504, 2380, 5552, 19476, 26, 33759, 291, 23139, 23260, 11, 9558, 27740, 5273, 323, 4212, 5273, 315, 18099, 627, 1489, 907, 315, 3300, 19476, 527, 279, 82575, 315, 6617, 17452, 198, 51642, 315, 4212, 5273, 315, 18099, 323, 33759, 291, 23139, 23260, 198, 791, 892, 907, 315, 3300, 320, 51, 11435, 8, 374, 279, 4623, 430, 3300, 2561, 520, 279, 3118, 892, 374, 5922, 810, 1109, 279, 1890, 3392, 304, 279, 3938, 4245, 311, 1202, 4754, 28744, 8824, 13, 1115, 6332, 17966, 315, 17452, 10187, 430, 3984, 3300, 649, 7380, 2802, 11, 904, 3392, 315, 3300, 374, 5922, 810, 279, 31373, 433, 374, 4036, 627, 50219, 409, 15757, 79, 321, 20811, 1955, 315, 6150, 315, 8375, 13005, 936, 320, 10161, 16, 1389, 220, 11286, 21, 705, 1101, 3967, 439, 19150, 12233, 1138, 355, 374, 279, 72001, 315, 4212, 5273, 315, 18099, 35455, 627, 644, 6617, 17452, 11, 892, 907, 315, 3300, 19476, 11335, 264, 8792, 3560, 304, 5597, 1862, 323, 9293, 13, 3277, 9341, 41579, 477, 2626, 1162, 3135, 13334, 810, 1109, 264, 1060, 1139, 279, 3938, 11, 433, 374, 3062, 311, 1518, 279, 892, 907, 315, 3300, 5536, 389, 1317, 9860, 41579, 323, 9093, 11, 584, 1205, 311, 1518, 8515, 28555, 304, 2225, 449, 11336, 287, 323, 2085, 11336, 287, 7739, 627, 40981, 291, 8515, 6530, 423, 9847, 374, 459, 3851, 315, 279, 892, 907, 315, 3300, 7434, 22416, 4623, 430, 3300, 311, 387, 4036, 477, 7318, 520, 1063, 892, 304, 279, 3938, 706, 2753, 907, 11, 3432, 11, 1109, 459, 6273, 3392, 3604, 4036, 477, 7318, 3432, 627, 791, 892, 907, 315, 3300, 320, 51, 11435, 8, 374, 279, 4623, 430, 3300, 2561, 520, 279, 3118, 892, 374, 5922, 810, 1109, 279, 1890, 3392, 304, 279, 3938, 4245, 311, 1202, 4754, 28744, 8824, 198, 4054, 315, 279, 8125, 584, 527, 34988, 423, 9847, 323, 6007, 44, 3871, 374, 279, 958, 2125, 1990, 279, 19476, 13, 3277, 584, 22209, 287, 33759, 291, 8515, 6530, 6492, 423, 9847, 11, 279, 1403, 7394, 907, 315, 3300, 3878, 374, 279, 1401, 280, 21886, 907, 320, 49569, 8, 374, 1148, 279, 3938, 8515, 6530, 374, 5922, 3432, 627, 25184, 907, 320, 37, 53, 8, 374, 279, 907, 430, 3604, 28555, 304, 477, 704, 520, 279, 3938, 892, 627, 791, 423, 9847, 22702, 14035, 279, 907, 8475, 3432, 22416, 3118, 907, 72318, 279, 3938, 8515, 6530, 13, 362, 7083, 1041, 8515, 4704, 363, 430, 690, 17782, 1403, 1667, 505, 1457, 1436, 11, 369, 3187, 11, 617, 264, 3118, 907, 3432, 315, 922, 7083, 2721, 11, 1418, 1202, 3938, 907, 374, 555, 7419, 7083, 1041, 627, 40981, 23139, 23260, 320, 78837, 8, 649, 387, 459, 3062, 8331, 994, 38663, 477, 27393, 22538, 11, 1957, 25243, 11, 477, 24393, 627, 3957, 4212, 5273, 315, 18099, 8976, 5273, 5380, 1489, 907, 315, 3300, 19476, 527, 8831, 311, 3619, 994, 11497, 3871, 323, 358, 690, 1456, 311, 656, 433, 439, 8831, 439, 3284, 627, 10267, 753, 4287, 433, 11, 994, 584, 682, 1618, 1054, 1489, 5273, 315, 18099, 863, 279, 1176, 892, 11, 433, 10578, 1093, 17422, 323, 27393, 311, 279, 9439, 11, 6129, 323, 16997, 3663, 315, 23261, 433, 11321, 50204, 627, 29132, 279, 1005, 315, 3300, 369, 264, 3230, 4261, 315, 892, 706, 264, 907, 430, 374, 50401, 11, 66303, 11, 323, 1972, 198, 1489, 5273, 315, 18099, 439, 264, 7434, 706, 1403, 8821, 8522, 26, 48774, 8515, 6530, 323, 2802, 7318, 369, 264, 11941, 627, 78837, 1389, 33759, 291, 23139, 23260, 26, 279, 11336, 287, 73115, 279, 3118, 907, 320, 49569, 8, 315, 3938, 10736, 13, 3639, 3938, 3300, 374, 5922, 3432, 374, 2663, 1202, 3118, 907, 320, 49569, 8, 323, 1148, 433, 690, 387, 5922, 304, 279, 3938, 994, 433, 5616, 30782, 374, 2663, 539, 29392, 1202, 3938, 907, 320, 37, 53, 570, 27740, 907, 11, 304, 1023, 4339, 11, 374, 48774, 3770, 3938, 907, 627, 3947, 527, 2380, 9547, 5536, 3938, 907, 320, 37, 53, 8, 315, 1057, 3432, 753, 3300, 280, 644, 65249, 26, 25544, 927, 892, 26338, 279, 12096, 2410, 315, 3300, 627, 86407, 26, 3300, 499, 617, 3432, 374, 1972, 719, 3938, 374, 2753, 3738, 902, 11705, 264, 5326, 8331, 198, 7271, 68164, 26, 422, 499, 2793, 701, 3300, 3432, 11, 499, 1436, 636, 264, 2731, 471, 15038, 304, 279, 3938, 13, 578, 3300, 499, 690, 539, 617, 3156, 264, 3938, 892, 4250, 387, 1511, 1457, 627, 3923, 374, 23139, 23260, 9384, 323, 2650, 1587, 433, 990, 449, 2204, 33759, 48076, 927, 892, 5380, 32, 4101, 315, 8515, 4704, 4336, 477, 704, 39240, 5108, 520, 2204, 3938, 3115, 11, 279, 4101, 374, 2663, 264, 8515, 6530, 4365, 198, 4959, 3938, 8515, 6530, 706, 1202, 1866, 907, 3432, 320, 1220, 1866, 3118, 907, 570, 578, 2694, 315, 1521, 3118, 2819, 374, 279, 4272, 3118, 907, 315, 279, 8515, 6530, 4365, 627, 40, 690, 1456, 311, 10552, 420, 449, 459, 3187, 26, 2980, 459, 9341, 3432, 315, 7083, 1041, 11, 430, 12716, 4272, 20192, 315, 7083, 1041, 1855, 1060, 369, 220, 20, 1667, 13, 2057, 387, 3025, 311, 9616, 323, 13168, 358, 3779, 1403, 2204, 11336, 7969, 320, 13014, 4478, 1237, 220, 23, 4, 323, 220, 868, 14697, 578, 3938, 2819, 323, 3118, 2819, 315, 1521, 8515, 6530, 4455, 2643, 1427, 1093, 420, 512, 791, 1176, 6437, 16283, 4097, 8515, 6530, 12678, 369, 1855, 1060, 323, 5101, 994, 814, 3604, 5101, 304, 279, 3938, 320, 25184, 26028, 1389, 435, 53, 4390, 43069, 11105, 279, 11336, 4478, 315, 220, 23, 4, 323, 26769, 11105, 279, 11336, 4478, 315, 220, 868, 4, 2819, 315, 279, 1890, 8515, 28555, 304, 3118, 907, 320, 49569, 8, 3878, 627, 2746, 499, 1427, 520, 279, 13314, 3158, 11, 279, 4272, 8515, 6530, 3685, 1306, 4330, 1667, 374, 7083, 3443, 13, 4452, 11, 279, 4272, 3118, 907, 320, 27321, 53, 8, 3432, 374, 48774, 311, 2555, 311, 2555, 2753, 13, 2100, 11, 44340, 53, 520, 220, 23, 4, 2802, 4478, 374, 7083, 15531, 323, 220, 868, 4, 374, 7083, 12422, 627, 40, 1053, 1093, 311, 4128, 701, 6666, 430, 994, 584, 3881, 5129, 4751, 323, 5190, 2802, 7969, 11, 279, 3118, 907, 315, 1057, 8515, 43154, 627, 4599, 584, 38714, 9558, 27740, 5273, 11, 279, 3392, 315, 892, 1990, 1457, 323, 1855, 3938, 8323, 4261, 323, 11336, 320, 13014, 8, 4478, 25949, 279, 1404, 315, 279, 11336, 287, 2515, 13, 1226, 690, 3477, 279, 3560, 315, 2802, 4478, 323, 892, 18852, 994, 584, 26679, 4272, 3118, 2819, 304, 21651, 3878, 627, 1622, 12781, 5273, 320, 37, 53, 705, 27740, 5273, 320, 49569, 8, 323, 9558, 27740, 5273, 320, 27321, 53, 8, 32459, 811, 198, 791, 4751, 1511, 311, 10765, 420, 374, 32459, 811, 369, 2802, 6650, 323, 1391, 13900, 13, 6914, 753, 1212, 449, 4228, 10507, 323, 584, 649, 4170, 19662, 439, 584, 733, 3235, 627, 10438, 584, 1212, 11, 358, 1053, 1093, 311, 3041, 41941, 315, 1063, 315, 279, 40615, 17583, 584, 690, 1005, 280, 37, 53, 284, 12781, 5273, 198, 49569, 284, 27740, 5273, 198, 72, 284, 33759, 320, 35656, 8, 20359, 198, 77, 284, 5742, 315, 26572, 82, 198, 27321, 53, 284, 9558, 27740, 5273, 198, 80, 284, 5742, 315, 18852, 824, 1060, 198, 9847, 284, 23139, 23260, 198, 78837, 284, 33759, 291, 23139, 23260, 198, 13617, 12, 16, 25, 3639, 374, 279, 3938, 907, 320, 37, 53, 8, 304, 832, 1060, 11, 315, 7083, 16, 11, 931, 29091, 3432, 320, 1820, 38964, 705, 520, 459, 9974, 2802, 4478, 315, 220, 868, 4, 5380, 16533, 25, 435, 53, 16, 284, 7083, 16, 11, 931, 865, 320, 16, 489, 220, 15, 13, 868, 8, 220, 16, 284, 7083, 16, 11, 3965, 198, 4599, 279, 12781, 5273, 374, 810, 1109, 832, 4261, 1139, 279, 3938, 11, 2802, 1391, 13900, 5097, 2035, 13, 25074, 1391, 13900, 3445, 11, 2802, 15662, 304, 6931, 18852, 12302, 311, 7380, 2802, 389, 5196, 11, 304, 5369, 311, 2802, 389, 279, 4113, 27740, 5273, 627, 13617, 12, 17, 25, 3639, 374, 279, 3938, 907, 304, 4330, 1667, 315, 7083, 16, 11, 931, 29091, 3432, 520, 459, 9974, 2802, 4478, 315, 220, 868, 4, 5380, 16533, 25, 435, 53, 20, 284, 7083, 16, 11, 931, 865, 320, 16, 489, 220, 15, 13, 868, 8, 20, 284, 7083, 17, 11, 10731, 198, 4516, 3117, 11, 584, 1427, 520, 279, 3938, 907, 315, 1057, 3300, 520, 1450, 26, 1095, 753, 1212, 505, 279, 3938, 323, 3411, 29512, 304, 892, 11, 311, 3432, 13, 12361, 315, 12781, 5273, 320, 37, 53, 8, 315, 1510, 3300, 11, 1095, 753, 1505, 27740, 5273, 320, 49569, 8, 315, 264, 3938, 3300, 627, 13617, 12, 18, 25, 3639, 374, 279, 907, 3432, 315, 264, 7083, 16, 11, 931, 8323, 33111, 304, 832, 1060, 11, 1701, 459, 2802, 4478, 315, 220, 868, 4, 5380, 16533, 25, 38964, 16, 284, 7083, 16, 11, 931, 611, 320, 16, 489, 220, 15, 13, 868, 8, 220, 16, 284, 7083, 22440, 198, 13617, 12, 19, 25, 3639, 374, 279, 3118, 907, 315, 7083, 16, 11, 931, 584, 690, 5371, 304, 220, 20, 1667, 11, 1701, 264, 220, 868, 4, 2802, 4478, 5380, 16533, 25, 38964, 20, 284, 7083, 16, 11, 931, 611, 320, 16, 489, 220, 15, 13, 868, 8, 220, 20, 284, 7083, 22640, 198, 2460, 279, 10507, 584, 1511, 779, 3117, 26619, 4261, 13368, 320, 3236, 13368, 8, 32162, 11, 682, 1057, 5935, 3046, 323, 25555, 5865, 1101, 6319, 279, 1890, 1648, 627, 27321, 53, 284, 320, 37, 53, 15, 611, 320, 16, 21905, 8, 15, 8, 489, 320, 37, 53, 16, 611, 320, 16, 21905, 8, 16, 8, 489, 66621, 489, 320, 37, 53, 308, 611, 320, 16, 21905, 80198, 340, 3947, 374, 1101, 2500, 1749, 11, 2663, 14013, 99181, 11336, 287, 13, 1666, 584, 9932, 6931, 11, 279, 11336, 4478, 45799, 279, 2819, 315, 6776, 11, 5326, 11, 323, 25544, 2345, 3745, 430, 2349, 31978, 439, 892, 16609, 13, 14013, 99181, 11336, 287, 17208, 279, 11336, 287, 2515, 24559, 994, 8515, 3604, 28555, 323, 9093, 810, 24473, 27393, 311, 4261, 13368, 11336, 287, 627, 3947, 527, 1403, 98077, 311, 3881, 280, 4438, 311, 24702, 1403, 2204, 33350, 66885, 449, 423, 9847, 323, 44340, 53, 198, 53809, 25, 2684, 527, 1403, 27260, 7224, 369, 701, 3300, 13, 11995, 1397, 459, 2926, 8515, 704, 6789, 315, 7083, 16, 11, 931, 11, 323, 1855, 4780, 264, 2860, 315, 7083, 17, 11, 5154, 927, 279, 4330, 1667, 4261, 323, 3339, 264, 4272, 8895, 315, 7083, 16, 11, 5154, 13, 56877, 2225, 9341, 2447, 7612, 4528, 9341, 323, 4780, 527, 279, 1890, 11, 902, 2447, 499, 1288, 2793, 30, 320, 9290, 25, 220, 23, 4, 25074, 20359, 9435, 311, 2225, 2447, 340, 8142, 2860, 20192, 6273, 304, 2225, 2447, 389, 9558, 23139, 23260, 11, 279, 18912, 315, 279, 4780, 527, 2204, 13, 1666, 264, 1121, 11, 279, 3118, 907, 315, 1855, 1060, 753, 471, 374, 2204, 627, 17561, 287, 279, 1403, 22538, 11, 279, 8294, 4216, 4780, 304, 5907, 362, 3063, 311, 264, 2731, 4272, 3118, 907, 320, 27321, 53, 8, 1109, 279, 3010, 3544, 471, 304, 5907, 426, 13, 15636, 11, 1023, 2574, 1694, 6273, 11, 5907, 362, 753, 5190, 44340, 53, 471, 18911, 264, 2731, 9341, 6776, 627, 644, 12399, 11, 9558, 27740, 5273, 320, 27321, 53, 8, 323, 33759, 291, 23139, 23260, 320, 78837, 8, 527, 5505, 369, 9341, 6492, 280, 70223, 5829, 369, 3300, 527, 1694, 7863, 198, 791, 2626, 1162, 14861, 1317, 18852, 315, 892, 320, 20375, 477, 810, 1667, 4390, 644, 39240, 323, 704, 39240, 2349, 22009, 927, 892, 320, 68, 1326, 2637, 279, 7928, 4704, 4336, 2586, 520, 264, 2204, 892, 505, 279, 7928, 704, 39240, 4390, 11874, 477, 810, 10778, 5157, 527, 1694, 7863, 323, 814, 1782, 449, 5201, 311, 8515, 6530, 18912, 2949, 279, 6492, 4261, 627, 25310, 13002, 311, 37128, 17961, 25104, 323, 21705, 5830, 198, 8142, 584, 34988, 279, 29217, 11, 682, 6020, 5935, 3046, 617, 4330, 6020, 7039, 11, 323, 21705, 596, 6913, 892, 907, 5865, 527, 7041, 79283, 13, 578, 2007, 3770, 5039, 279, 44554, 2301, 1990, 279, 31052, 7039, 323, 21705, 5865, 369, 701, 10648, 512, 10156, 439, 499, 617, 311, 8312, 520, 3325, 2380, 315, 279, 7482, 311, 11886, 264, 6007, 44, 3575, 304, 264, 6020 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 34593, 64027, 373, 10506, 765, 3658, 16666, 51803, 198, 34593, 64027, 373, 6209, 499, 279, 5845, 311, 8891, 701, 6807, 9815, 323, 6807, 5573, 13, 1472, 4805, 1518, 10631, 922, 1268, 499, 649, 7417, 701, 6807, 4184, 311, 872, 6492, 13, 12623, 11, 433, 5764, 6913, 6807, 16967, 11, 682, 369, 16655, 627, 12, 3658, 7104, 198, 12, 19122, 2057, 5560, 1883, 198, 12, 19721, 505, 3110, 62099, 198, 12, 68502, 315, 12557, 9365, 198, 2409, 828, 69140, 31965, 389, 264, 5912, 8197, 11, 13723, 527, 389, 1579, 5225, 13, 578, 11191, 11964, 54717, 31471, 304, 3389, 220, 679, 22, 374, 832, 315, 279, 1455, 1579, 25171, 10507, 11, 47066, 16614, 2038, 315, 7154, 220, 10465, 3610, 9053, 13, 1666, 264, 1121, 11, 810, 1274, 527, 3411, 369, 5627, 311, 2567, 459, 8071, 389, 872, 6807, 1109, 3596, 1603, 627, 11458, 11, 16967, 701, 6807, 2038, 374, 1101, 1120, 7941, 13, 1102, 8654, 16345, 499, 311, 1935, 1957, 1288, 2555, 77772, 12446, 11, 1935, 7504, 311, 7417, 701, 5573, 11, 323, 10772, 1288, 499, 1397, 6020, 3600, 304, 279, 3938, 627, 10267, 753, 4048, 810, 922, 16967, 701, 6807, 449, 16666, 64027, 373, 627, 3923, 374, 16666, 64027, 373, 5380, 34593, 64027, 373, 6276, 3932, 311, 2567, 459, 8071, 389, 872, 6807, 1934, 323, 5573, 369, 1949, 13, 2030, 11, 304, 264, 9581, 315, 6807, 16967, 2532, 2671, 11, 374, 433, 279, 1314, 2532, 369, 499, 5380, 34593, 64027, 373, 374, 3604, 6724, 1949, 422, 499, 4822, 449, 279, 6913, 2532, 627, 791, 6913, 2759, 690, 2646, 2853, 499, 264, 74953, 11, 912, 5030, 1268, 1317, 499, 1005, 433, 13, 763, 2144, 11, 16666, 64027, 373, 3250, 1431, 1524, 2610, 499, 369, 264, 6807, 3786, 994, 499, 1879, 709, 11, 779, 814, 649, 1431, 6900, 499, 555, 13051, 627, 2409, 779, 1690, 6732, 21039, 872, 6807, 1934, 11, 5573, 11, 477, 16967, 3600, 527, 1949, 994, 814, 3604, 7784, 1431, 11, 1063, 2237, 315, 38141, 3727, 5647, 627, 2746, 499, 1390, 264, 5190, 2532, 2237, 11, 1243, 499, 690, 617, 311, 2343, 369, 459, 14234, 11, 719, 430, 374, 6724, 10309, 13, 1115, 6835, 499, 2680, 311, 810, 4519, 11, 902, 649, 387, 15525, 422, 499, 527, 3318, 311, 7417, 701, 6807, 627, 34593, 64027, 373, 47396, 17333, 198, 791, 1054, 60420, 6462, 2476, 902, 7194, 400, 24, 13, 2721, 264, 2305, 11, 6835, 499, 2680, 311, 459, 6177, 650, 25843, 10793, 1475, 1938, 11, 539, 1120, 3131, 264, 2305, 627, 50674, 11, 1070, 374, 264, 15438, 6807, 1934, 4232, 2561, 11, 7231, 499, 810, 15525, 2038, 922, 1405, 499, 2559, 627, 34593, 64027, 373, 45092, 19721, 198, 791, 1054, 501, 30190, 9313, 863, 3197, 11621, 810, 6807, 16967, 3600, 323, 9764, 28483, 9313, 11, 2737, 400, 16, 3610, 304, 9764, 28483, 8276, 627, 1688, 400, 975, 13, 2721, 824, 2305, 11, 433, 374, 2753, 11646, 1109, 4528, 3956, 1555, 1690, 315, 872, 28650, 627, 4438, 12838, 16666, 64027, 373, 5664, 5380, 4599, 499, 1879, 709, 449, 16666, 64027, 373, 11, 499, 8895, 279, 5845, 311, 8891, 701, 6807, 9815, 323, 6807, 5573, 13, 1472, 4805, 1518, 10631, 922, 1268, 499, 649, 7417, 701, 6807, 4184, 311, 872, 6492, 13, 12623, 11, 433, 5764, 6913, 6807, 16967, 13, 1442, 2555, 389, 701, 6807, 1934, 4442, 11, 1093, 264, 502, 26981, 48700, 709, 389, 701, 1934, 11, 814, 690, 1095, 499, 1440, 627, 2675, 1101, 636, 311, 1518, 264, 6807, 5573, 505, 4149, 33758, 11, 902, 374, 6177, 1475, 2305, 13, 4452, 11, 433, 753, 3062, 311, 5296, 430, 420, 4536, 1431, 264, 435, 33750, 5573, 11, 279, 832, 1455, 46115, 1005, 304, 6807, 11429, 13, 12361, 11, 433, 753, 459, 10778, 2663, 279, 650, 25843, 10793, 220, 18, 13, 15, 627, 32, 650, 25843, 10793, 220, 18, 13, 15, 374, 1511, 555, 1063, 46115, 11, 323, 5829, 264, 220, 3101, 311, 220, 16217, 2134, 11, 1120, 1093, 264, 435, 33750, 5573, 13, 4452, 11, 279, 12384, 430, 45695, 279, 22702, 35327, 505, 435, 33750, 13, 362, 220, 13104, 650, 25843, 10793, 1587, 539, 6273, 264, 220, 13104, 435, 33750, 5573, 627, 11458, 11, 1120, 1606, 264, 650, 25843, 10793, 323, 264, 435, 33750, 5573, 7784, 1431, 279, 1890, 3250, 1431, 3152, 279, 650, 25843, 10793, 4536, 1431, 15525, 13, 1472, 649, 2103, 1005, 433, 311, 8891, 701, 5208, 439, 11, 994, 701, 650, 25843, 10793, 5900, 709, 11, 701, 435, 33750, 5573, 2643, 387, 2133, 709, 2288, 627, 3957, 16666, 64027, 373, 11683, 62259, 5380, 34593, 64027, 373, 374, 16168, 439, 13687, 439, 904, 1023, 10778, 13, 8876, 2038, 505, 701, 6807, 1934, 374, 279, 8197, 11, 814, 527, 1701, 279, 1890, 3649, 439, 904, 1023, 2532, 11, 810, 477, 2753, 627, 791, 1193, 1486, 315, 11249, 28335, 311, 387, 16666, 64027, 373, 753, 1005, 315, 279, 650, 25843, 10793, 4619, 315, 264, 22785, 435, 33750, 5573, 13, 8876, 46115, 6118, 1541, 1431, 17631, 389, 264, 650, 25843, 10793, 369, 6807, 11429, 11, 323, 701, 435, 33750, 5573, 374, 4461, 2204, 505, 279, 650, 25843, 10793, 499, 1518, 11, 433, 649, 387, 14738, 31715, 627, 4071, 11, 904, 5597, 430, 11767, 311, 264, 5190, 650, 25843, 10793, 6118, 7720, 701, 435, 33750, 5573, 2288, 13, 1102, 753, 1120, 3062, 369, 3932, 311, 3619, 430, 1521, 1403, 4211, 656, 539, 8356, 279, 1890, 3135, 11, 779, 701, 435, 33750, 5573, 1253, 387, 5190, 477, 4827, 1109, 279, 650, 25843, 10793, 499, 1518, 627, 34593, 64027, 373, 87684, 198, 3957, 16666, 64027, 373, 23088, 5380, 1271, 1005, 16666, 64027, 373, 11, 499, 656, 617, 311, 3493, 1124, 449, 1063, 4443, 2038, 13, 56877, 430, 1690, 1274, 49816, 311, 6807, 16967, 3600, 1606, 814, 1390, 311, 1304, 2771, 872, 828, 12775, 1431, 21536, 1139, 279, 6206, 315, 21516, 99495, 82, 11, 433, 753, 1193, 5933, 311, 5895, 3508, 16666, 64027, 373, 374, 6220, 311, 1005, 627, 2746, 499, 656, 264, 6913, 7757, 2778, 369, 1054, 34593, 64027, 373, 19832, 2476, 499, 4805, 1518, 520, 3325, 264, 2478, 31186, 430, 46789, 430, 433, 753, 264, 35726, 13, 4452, 11, 1455, 315, 1521, 9908, 7784, 1431, 15933, 13, 12361, 11, 814, 527, 5042, 4560, 311, 21953, 810, 9629, 555, 1156, 3329, 1274, 1139, 18965, 13, 1628, 11, 6118, 11, 3131, 499, 656, 11, 499, 3604, 4363, 389, 264, 6928, 3477, 627, 8142, 912, 1887, 374, 220, 1041, 3346, 9966, 11, 16666, 64027, 373, 374, 35064, 2718, 6220, 13, 2435, 1935, 4642, 7504, 311, 6144, 701, 2038, 13, 12623, 11, 1701, 16666, 64027, 373, 3250, 1431, 5536, 701, 6807, 5573, 13, 6104, 264, 1054, 19221, 6958, 863, 389, 701, 6807, 649, 5353, 701, 5573, 311, 4498, 11, 16666, 64027, 373, 3250, 1431, 656, 264, 2653, 6958, 11, 779, 1070, 374, 912, 65252, 627, 10149, 16666, 64027, 373, 10467, 1472, 18099, 5380, 9642, 11, 16666, 64027, 373, 649, 3665, 499, 3300, 13, 4452, 11, 433, 3250, 1431, 3621, 9651, 555, 1701, 279, 2532, 627, 2746, 499, 1390, 311, 3665, 3300, 555, 1701, 16666, 64027, 373, 11, 1070, 527, 264, 2478, 5627, 499, 649, 10570, 627, 2520, 3187, 11, 422, 499, 1005, 279, 7526, 311, 7417, 701, 6807, 11, 499, 649, 9966, 4827, 2802, 7969, 389, 3956, 1093, 17017, 477, 6807, 7563, 11, 10923, 499, 311, 8108, 279, 3392, 499, 8493, 389, 2802, 627, 68791, 11, 16666, 64027, 373, 1253, 7079, 264, 2027, 499, 8434, 1431, 617, 1766, 389, 701, 1866, 13, 1442, 433, 753, 264, 2731, 3568, 320, 21470, 439, 832, 449, 4827, 2802, 7969, 477, 12718, 705, 499, 649, 3665, 264, 5128, 50169, 627, 34593, 64027, 373, 374, 5128, 76588, 520, 9204, 10778, 29642, 2671, 430, 1253, 8935, 499, 13, 1115, 649, 2997, 502, 3956, 439, 1664, 439, 5627, 311, 8108, 701, 2802, 7969, 11, 1778, 439, 555, 51051, 701, 6484, 6807, 3786, 39954, 311, 2500, 3786, 477, 1701, 264, 11941, 311, 2343, 1022, 701, 6807, 7563, 627, 6854, 16666, 64027, 373, 11736, 1472, 7557, 4487, 5408, 3799, 6948, 5380, 9642, 11, 16666, 64027, 373, 649, 1520, 13, 57194, 505, 279, 6020, 2027, 19075, 11, 814, 1101, 617, 459, 8056, 1054, 3923, 1442, 863, 5507, 430, 15714, 499, 24564, 5370, 11709, 627, 2520, 2937, 11, 279, 5507, 649, 1095, 499, 1518, 1148, 8741, 422, 499, 1304, 3738, 6807, 11429, 13, 1115, 5764, 422, 499, 649, 636, 264, 2731, 320, 269, 11201, 8, 3568, 422, 701, 6807, 5573, 477, 11897, 2865, 4442, 13, 1115, 649, 387, 264, 8147, 12521, 859, 422, 499, 527, 13126, 12798, 1022, 1063, 11897, 311, 7417, 701, 11509, 439, 499, 4805, 387, 3025, 311, 1518, 1148, 2671, 1253, 387, 2561, 1306, 701, 6671, 36050, 627, 2181, 753, 3062, 311, 5296, 430, 279, 5507, 4536, 1431, 220, 1041, 3346, 13687, 13, 12361, 11, 433, 753, 459, 16430, 315, 1268, 701, 5573, 1253, 2349, 422, 499, 1304, 3230, 11709, 13, 4452, 11, 1524, 3582, 499, 7784, 1431, 19883, 1884, 3135, 11, 433, 5825, 264, 6573, 28137, 315, 279, 5536, 315, 904, 4040, 5597, 627, 4438, 12838, 16666, 64027, 373, 7557, 18099, 5380, 4054, 1648, 16666, 64027, 373, 3727, 3300, 555, 10209, 7318, 3600, 311, 6444, 13, 6104, 279, 2385, 2532, 374, 2561, 520, 912, 2853, 11, 499, 617, 279, 3072, 311, 636, 810, 11084, 4519, 323, 16967, 2671, 369, 264, 2678, 11307, 627, 50674, 11, 16666, 64027, 373, 19207, 6807, 3786, 323, 11941, 3956, 430, 1253, 2802, 499, 3196, 389, 701, 5643, 13, 46402, 11, 420, 374, 459, 3187, 315, 459, 22325, 2068, 520, 990, 13, 1442, 499, 5268, 311, 3881, 11, 16666, 64027, 373, 21879, 264, 12396, 627, 11458, 11, 1524, 3582, 814, 1253, 5371, 29865, 15055, 315, 20448, 11, 430, 3250, 1431, 3152, 872, 9650, 4536, 1431, 15062, 994, 814, 1304, 264, 28782, 13, 16666, 64027, 373, 690, 1193, 4822, 304, 2626, 422, 814, 3974, 709, 311, 872, 6332, 9131, 315, 10695, 13723, 13, 11205, 18726, 527, 3196, 389, 42118, 701, 6671, 323, 9455, 2671, 430, 8935, 499, 11, 323, 539, 14647, 1148, 690, 1520, 1124, 1304, 3300, 627, 2181, 374, 3062, 311, 5296, 430, 16666, 64027, 373, 1587, 1101, 617, 7318, 13172, 8717, 11, 4528, 311, 24206, 14058, 389, 904, 45710, 13, 578, 14058, 527, 17550, 11, 779, 433, 5097, 701, 2038, 323, 12034, 1139, 2759, 1603, 832, 374, 12882, 627, 3957, 16666, 64027, 373, 279, 10291, 16666, 51803, 5475, 369, 1472, 5380, 12834, 16666, 64027, 373, 706, 264, 6724, 1949, 2532, 11, 7154, 5127, 649, 8935, 505, 16351, 709, 13, 1472, 649, 8891, 5370, 13878, 315, 701, 6807, 1934, 323, 5573, 449, 14553, 11, 323, 2680, 2038, 430, 8779, 499, 1304, 2731, 11429, 439, 264, 70719, 627, 22560, 11, 16666, 64027, 373, 8544, 505, 1455, 56940, 8336, 527, 6928, 323, 617, 1027, 2533, 279, 2883, 3782, 8800, 279, 6237, 304, 220, 679, 15, 13, 8876, 499, 1541, 1431, 617, 311, 2343, 264, 74953, 320, 269, 1524, 3041, 264, 6807, 3786, 1396, 8, 311, 3041, 433, 264, 1456, 11, 3249, 539, 1893, 459, 2759, 323, 1518, 422, 16666, 64027, 373, 20628, 701, 3966, 30, 1472, 4805, 4461, 387, 6380, 499, 1550, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 23175, 4273, 11182, 7301, 11, 468, 920, 13, 1561, 4356, 198, 79231, 612, 3680, 56654, 4794, 3579, 198, 39, 38912, 426, 13, 7683, 24732, 11, 7023, 61401, 20819, 627, 2028, 5030, 706, 1027, 14183, 311, 279, 26445, 1571, 33549, 311, 220, 1591, 549, 815, 732, 13, 17036, 220, 22422, 1921, 2432, 16, 2432, 34, 8, 320, 35, 4638, 2360, 13, 220, 21, 570, 1115, 374, 264, 7108, 1957, 11, 34833, 2403, 279, 3723, 4273, 6011, 315, 31433, 323, 29422, 11050, 3573, 31337, 4063, 449, 3917, 5030, 29101, 33549, 311, 220, 1591, 549, 815, 732, 13, 17036, 220, 9565, 21, 2948, 2432, 17, 8, 320, 4151, 423, 4638, 2360, 13, 220, 16, 11, 25773, 315, 57817, 4390, 2169, 1673, 3168, 26305, 15177, 3573, 72352, 9251, 909, 10711, 430, 26884, 68502, 675, 12930, 45340, 31433, 22677, 3573, 11237, 17455, 909, 17644, 311, 834, 7198, 279, 74824, 9251, 4245, 311, 4442, 304, 279, 9251, 596, 11692, 320, 307, 2637, 1398, 13, 362, 11, 25773, 315, 11586, 684, 323, 11586, 684, 570, 78382, 74824, 9251, 16495, 311, 617, 279, 47514, 17455, 32616, 323, 951, 380, 505, 13865, 311, 834, 7198, 279, 74824, 9251, 323, 311, 83173, 279, 47514, 17455, 311, 990, 22415, 8046, 449, 279, 74824, 9251, 311, 9006, 904, 19310, 88036, 320, 35, 4638, 2360, 13, 220, 16, 11, 25773, 315, 57817, 11, 1398, 13, 362, 11, 25773, 315, 11586, 684, 26, 1518, 423, 4638, 2360, 13, 220, 966, 11, 8423, 612, 4158, 13, 520, 220, 17, 12, 18, 570, 74824, 9251, 50697, 430, 49696, 11, 1234, 220, 1187, 356, 1006, 2056, 13, 17036, 220, 26281, 13, 3965, 2948, 2432, 18, 705, 574, 54117, 311, 25760, 904, 26086, 449, 5201, 311, 279, 1005, 315, 74824, 64503, 61288, 1990, 279, 74824, 9251, 323, 279, 47514, 17455, 320, 35, 4638, 2360, 13, 220, 16, 11, 25773, 11, 1398, 13, 362, 11, 11586, 97670, 2468, 1919, 13, 9947, 2923, 13, 79946, 220, 605, 4390, 31337, 7108, 420, 1957, 320, 307, 6266, 323, 19089, 320, 35, 4638, 2360, 13, 220, 19, 570, 47514, 17455, 26214, 19089, 320, 35, 4638, 2360, 13, 220, 20, 570, 49696, 1243, 7882, 311, 13738, 279, 1957, 439, 311, 430, 9476, 320, 35, 4638, 2360, 13, 220, 1032, 570, 1115, 7301, 11349, 49780, 49696, 596, 11633, 311, 13738, 320, 35, 4638, 2360, 13, 220, 1313, 8, 902, 574, 18306, 555, 20819, 12131, 20267, 5169, 320, 35, 4638, 2360, 13, 220, 1627, 4390, 2169, 1673, 3168, 1243, 16495, 311, 30569, 279, 68538, 11, 1176, 26559, 459, 3383, 2954, 68538, 902, 1550, 539, 836, 49696, 439, 264, 26884, 320, 35, 4638, 2360, 13, 220, 717, 8, 323, 1243, 7366, 369, 5387, 311, 30569, 320, 35, 4638, 2360, 13, 220, 777, 570, 1115, 28238, 1053, 617, 3779, 3697, 315, 279, 43102, 74824, 9251, 439, 3927, 51664, 323, 50697, 8349, 2403, 502, 40246, 279, 4409, 315, 68502, 675, 12930, 323, 47514, 17455, 11145, 7690, 41168, 3735, 598, 6780, 320, 35, 4638, 2360, 13, 220, 777, 26, 1518, 1101, 423, 4638, 2360, 13, 220, 966, 11, 8423, 612, 4158, 13, 315, 5020, 13, 220, 966, 11, 220, 679, 19, 11, 520, 220, 19, 12, 21, 4390, 791, 9861, 11, 26449, 40246, 47514, 17455, 323, 3735, 598, 6780, 7882, 311, 13738, 279, 3383, 2954, 68538, 320, 300, 1664, 439, 16475, 5387, 387, 11938, 311, 30569, 8, 320, 35, 4638, 2360, 13, 220, 1187, 570, 1115, 7301, 11136, 264, 8423, 323, 97631, 389, 6664, 220, 508, 11, 220, 679, 19, 320, 35, 4638, 2360, 13, 220, 966, 8, 320, 69, 41505, 488, 449, 902, 374, 62357, 8, 430, 11349, 279, 7366, 40246, 6, 11633, 311, 13738, 387, 11938, 323, 430, 43102, 596, 11633, 369, 5387, 311, 30569, 387, 15164, 13, 20819, 20267, 5169, 18306, 420, 8423, 11, 11938, 40246, 6, 11633, 311, 13738, 11, 15164, 43102, 596, 11633, 369, 5387, 311, 30569, 11, 323, 14183, 420, 5030, 1203, 311, 279, 26445, 1571, 369, 4726, 29407, 320, 35, 4638, 2360, 13, 220, 2148, 570, 1666, 264, 1121, 11, 279, 11223, 502, 3927, 51664, 6, 15639, 11633, 320, 35, 4638, 2360, 13, 220, 806, 8, 369, 304, 22544, 7251, 3550, 285, 2704, 574, 15164, 439, 98883, 320, 35, 4638, 2360, 13, 220, 843, 4390, 791, 4360, 1828, 574, 1148, 574, 2163, 315, 420, 1162, 304, 3177, 315, 279, 3485, 11633, 6725, 13, 3161, 279, 35013, 315, 279, 28238, 11, 279, 1162, 312, 29263, 311, 279, 13517, 10711, 8349, 555, 323, 2403, 279, 4113, 9861, 9875, 26, 8617, 11, 279, 43102, 74824, 9251, 2403, 279, 47514, 17455, 13, 16644, 279, 19821, 315, 49696, 439, 264, 26884, 11, 279, 4113, 29101, 278, 8197, 369, 279, 17065, 374, 1457, 32161, 11, 719, 1070, 706, 1027, 912, 11633, 555, 43102, 74824, 9251, 311, 1323, 438, 420, 1957, 311, 1614, 5590, 13, 1102, 374, 539, 2867, 1148, 8625, 311, 387, 70280, 10297, 477, 3508, 1070, 527, 10711, 6918, 2383, 8349, 627, 2170, 264, 1121, 11, 420, 7301, 11713, 264, 8266, 15217, 369, 3297, 220, 1032, 11, 220, 679, 20, 11, 311, 4358, 420, 1633, 4360, 320, 35, 4638, 2360, 13, 220, 1644, 705, 719, 43102, 1550, 539, 5101, 520, 430, 10017, 320, 35, 4638, 2360, 13, 220, 1958, 570, 362, 4726, 10017, 574, 743, 369, 5651, 220, 18, 11, 220, 679, 20, 11, 449, 264, 10163, 311, 43102, 430, 422, 814, 4745, 311, 5101, 430, 420, 7301, 1053, 7079, 59323, 369, 8060, 311, 66943, 1234, 18592, 220, 3174, 1921, 705, 1518, 1101, 12227, 1729, 348, 13, 1561, 4356, 4409, 46955, 7517, 2637, 220, 14274, 435, 13, 18, 67, 220, 17574, 320, 17, 67, 42009, 13, 220, 1049, 16, 8, 320, 307, 36434, 78382, 4745, 311, 5101, 520, 279, 5651, 220, 18, 11, 220, 679, 20, 11, 10017, 320, 300, 1664, 439, 40246, 8, 320, 35, 4638, 2360, 13, 220, 1758, 4390, 16648, 12411, 18592, 315, 16803, 45546, 220, 3174, 1921, 705, 330, 333, 279, 43102, 14865, 311, 66943, 477, 26069, 449, 1521, 5718, 477, 264, 5590, 2015, 11, 264, 26884, 1253, 3351, 311, 13738, 279, 1957, 1975, 11115, 279, 59323, 2015, 5415, 6062, 11, 264, 59323, 1234, 420, 60922, 320, 65, 8, 323, 904, 59323, 539, 1234, 420, 6037, 1131, 27149, 439, 459, 70280, 20901, 389, 279, 50932, 1210, 578, 10657, 28317, 706, 10212, 3892, 9547, 430, 2011, 387, 6646, 1603, 59323, 315, 459, 1957, 369, 8060, 311, 66943, 11, 1518, 65332, 348, 13, 58463, 11, 2360, 13, 220, 3264, 20161, 25009, 11, 423, 4638, 2360, 13, 220, 6028, 11, 220, 1049, 23, 549, 815, 13, 28704, 13, 445, 3337, 1669, 220, 24495, 1721, 11, 520, 353, 23, 12, 24, 320, 54, 920, 2112, 7659, 13, 5033, 13, 220, 972, 11, 220, 1049, 23, 8, 320, 37, 437, 53501, 11, 7023, 13, 622, 6266, 320, 66, 5977, 3723, 4273, 506, 1375, 13, 42865, 348, 13, 452, 28884, 30009, 2637, 4953, 2637, 220, 12935, 435, 13, 18, 67, 220, 14185, 11, 220, 3192, 320, 17, 67, 42009, 13, 220, 1049, 19, 705, 304, 1862, 315, 1202, 59323, 369, 8060, 311, 66943, 570, 5629, 11, 279, 7301, 2011, 2980, 279, 8250, 315, 43102, 596, 8060, 311, 26069, 449, 279, 7301, 596, 7365, 26, 2132, 11, 3508, 43102, 4036, 5406, 430, 4726, 32174, 1053, 1121, 304, 59323, 26, 4948, 11, 3508, 26884, 374, 4461, 311, 387, 34920, 7725, 555, 4726, 32174, 26, 11999, 11, 3508, 279, 7301, 706, 4529, 2512, 311, 13471, 279, 8335, 1990, 46649, 23747, 5590, 13470, 55146, 323, 22973, 43102, 596, 1314, 311, 4245, 1920, 323, 264, 6762, 6140, 311, 387, 6755, 26, 323, 18172, 11, 3508, 279, 11913, 706, 49672, 32448, 279, 41265, 315, 32415, 24679, 311, 59323, 11, 384, 1326, 2637, 42865, 11, 67655, 11, 220, 12935, 435, 13, 18, 67, 520, 220, 12375, 320, 64825, 304, 432, 5308, 9258, 348, 13, 13134, 62756, 612, 11244, 88, 7867, 1065, 520, 7658, 11, 220, 15830, 435, 13, 18, 67, 220, 10967, 11, 220, 11242, 7, 17, 67, 42009, 13, 220, 1049, 23, 8, 320, 716, 2917, 5038, 6030, 2009, 50, 2194, 348, 13, 11166, 596, 4621, 13, 41570, 11, 4953, 2637, 220, 14815, 435, 13, 18, 67, 220, 11056, 11, 220, 12652, 320, 17, 67, 42009, 13, 220, 1049, 16, 8, 320, 782, 513, 1162, 1237, 32103, 348, 13, 36303, 11, 220, 5833, 435, 13, 18, 67, 220, 20711, 11, 220, 20618, 320, 17, 67, 42009, 13, 220, 2550, 21, 570, 2360, 832, 8331, 374, 6449, 1413, 323, 279, 59323, 389, 420, 8197, 374, 22690, 389, 279, 4553, 3335, 11, 42865, 11, 67655, 11, 220, 12935, 435, 13, 18, 67, 520, 220, 13860, 627, 2213, 6852, 1521, 9547, 11, 43102, 1618, 13942, 1403, 2704, 38614, 2768, 279, 7365, 41566, 433, 5387, 311, 30569, 279, 68538, 13, 578, 5406, 369, 279, 2132, 11, 5651, 220, 18, 11, 220, 679, 20, 11, 10017, 26160, 43102, 430, 1202, 8060, 311, 5101, 2643, 3063, 311, 264, 28782, 315, 59323, 315, 279, 4553, 1957, 320, 4151, 423, 4638, 2360, 13, 220, 1958, 570, 90730, 26884, 47514, 17455, 1253, 387, 34920, 7725, 555, 279, 42271, 315, 420, 1957, 1405, 433, 8625, 25420, 279, 8197, 369, 6918, 3917, 5030, 29101, 927, 430, 9266, 13, 578, 13612, 8197, 369, 17065, 315, 420, 1957, 574, 279, 9546, 315, 49696, 439, 264, 26884, 13, 49696, 574, 10711, 15453, 311, 539, 617, 72849, 11175, 315, 279, 74824, 9251, 596, 26086, 449, 47514, 17455, 320, 4151, 423, 4638, 2360, 13, 220, 16, 11, 1398, 13, 362, 570, 22855, 306, 49696, 11, 279, 1162, 374, 16632, 264, 1614, 2383, 1957, 13, 1666, 369, 279, 7301, 596, 13470, 11, 420, 6062, 89460, 1162, 326, 14437, 389, 279, 7301, 596, 656, 4084, 8051, 433, 1253, 617, 1027, 320, 2000, 682, 94615, 8, 27292, 5304, 279, 35013, 315, 5387, 311, 30569, 13, 4185, 1869, 278, 1618, 374, 2753, 264, 45361, 1109, 264, 26314, 430, 11, 555, 43102, 596, 2536, 46256, 13322, 323, 304, 1335, 11, 1070, 374, 4400, 2163, 311, 70280, 8630, 1306, 279, 59323, 315, 49696, 323, 279, 35013, 315, 5387, 311, 30569, 13, 578, 38614, 13847, 1306, 420, 11633, 6725, 1051, 6319, 311, 4048, 422, 43102, 1047, 264, 31528, 6918, 3802, 2163, 477, 3508, 433, 10825, 311, 30569, 389, 264, 2204, 10334, 430, 11224, 264, 6918, 3802, 26, 43102, 596, 19821, 2163, 1884, 4860, 76547, 13, 7089, 3284, 6299, 555, 420, 7301, 320, 1677, 16238, 24679, 477, 38952, 4726, 38614, 11, 369, 3187, 8, 1253, 539, 9006, 279, 4360, 315, 3508, 420, 1162, 374, 31528, 323, 1694, 58559, 13, 30538, 3477, 315, 279, 4553, 3335, 304, 420, 1162, 11, 433, 374, 11349, 430, 279, 1162, 387, 27292, 369, 8060, 311, 66943, 13, 16644, 279, 9861, 1825, 3488, 315, 420, 7301, 596, 3917, 5030, 29101, 927, 279, 74824, 9251, 8288, 44, 17455, 26086, 11, 279, 11349, 59323, 1288, 387, 449, 48786, 11, 1518, 24526, 2056, 732, 344, 1087, 13, 220, 3174, 1921, 4390, 29815, 5304, 279, 3485, 11, 433, 374, 11349, 430, 420, 1162, 387, 27292, 369, 8060, 311, 66943, 555, 43102, 323, 420, 59323, 2564 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 3915, 6975, 1268, 311, 2082, 264, 4382, 5385, 3997, 311, 48429, 459, 384, 12, 34508, 20394, 2816, 3952, 220, 1691, 1667, 323, 433, 706, 1027, 459, 7185, 12141, 13, 9086, 5127, 775, 753, 2324, 11, 2574, 3621, 11, 2574, 2349, 11, 2574, 3351, 389, 627, 5159, 12034, 617, 27448, 291, 505, 19354, 9364, 304, 93136, 1815, 11, 311, 80231, 13987, 9863, 315, 13354, 3871, 11, 311, 84709, 1332, 3510, 1130, 9168, 55308, 1139, 51067, 323, 31817, 13, 16299, 374, 3249, 856, 4113, 5117, 374, 912, 810, 320, 74128, 11, 358, 33484, 11309, 433, 1418, 10917, 709, 420, 3997, 779, 1095, 753, 539, 636, 2288, 98063, 45586, 570, 2030, 1981, 358, 1550, 3350, 264, 2763, 922, 75964, 2641, 323, 1457, 358, 1390, 311, 3350, 264, 2763, 922, 55308, 1389, 779, 1070, 11, 1935, 430, 323, 1093, 433, 4999, 40, 1097, 3318, 389, 49324, 1063, 315, 279, 810, 7185, 8158, 505, 220, 679, 17, 60525, 779, 814, 690, 14297, 387, 3779, 13, 328, 13583, 757, 1314, 369, 1694, 779, 24450, 387, 7403, 4999, 2460, 39351, 3216, 67301, 505, 43337, 2893, 7819, 13, 15668, 19369, 1389, 2884, 304, 55907, 33961, 11, 323, 5128, 74777, 6288, 2288, 13, 358, 1541, 1431, 2512, 422, 433, 374, 10280, 477, 539, 1389, 499, 649, 1431, 1212, 2288, 4216, 449, 701, 13560, 48374, 323, 31817, 4999, 3947, 527, 11758, 315, 1949, 22311, 7224, 2561, 520, 43337, 2893, 7819, 13, 2435, 527, 22311, 1606, 43337, 912, 5129, 24266, 1063, 315, 279, 17135, 719, 814, 2103, 1390, 499, 311, 617, 264, 733, 13, 9369, 389, 279, 3658, 39397, 449, 30909, 1160, 1584, 311, 279, 1314, 315, 279, 2217, 323, 499, 649, 4232, 279, 1949, 13072, 627, 791, 53425, 468, 265, 589, 59519, 3485, 374, 539, 22311, 439, 499, 649, 7782, 279, 17135, 13, 4452, 11, 279, 5497, 374, 2103, 1949, 13, 1115, 26861, 59519, 690, 4762, 1935, 499, 505, 1457, 3156, 1828, 10280, 311, 1304, 719, 3131, 2884, 499, 4805, 617, 433, 16058, 627, 40, 1440, 433, 3250, 1431, 1427, 1093, 433, 719, 358, 13517, 6267, 420, 1203, 304, 6790, 220, 679, 18, 13, 1115, 1060, 320, 33327, 220, 2366, 15, 8, 358, 33484, 11309, 856, 5117, 323, 1097, 21816, 709, 279, 1888, 315, 279, 8158, 323, 312, 97765, 1124, 13, 1115, 5128, 10280, 79760, 5497, 574, 2561, 994, 358, 13517, 6267, 279, 1772, 719, 706, 2533, 1027, 7108, 13, 42536, 369, 603, 682, 358, 9152, 311, 2567, 279, 5448, 323, 279, 22237, 779, 499, 636, 311, 1304, 420, 13081, 41572, 1306, 682, 13, 1472, 649, 9901, 25961, 10746, 369, 279, 5497, 627, 8538, 892, 4227, 358, 574, 18719, 555, 279, 6168, 483, 16450, 386, 311, 5249, 264, 2254, 387, 2277, 1912, 13, 1102, 753, 473, 3097, 48744, 2523, 323, 52956, 856, 6677, 323, 3217, 304, 682, 18445, 13, 1628, 994, 358, 2019, 682, 11, 358, 3152, 3451, 543, 24535, 2684, 753, 4400, 1093, 264, 1912, 315, 3278, 315, 17226, 17051, 323, 36576, 311, 5376, 832, 753, 17985, 315, 279, 1917, 11, 477, 315, 264, 4040, 3917, 627, 791, 43361, 16450, 386, 80220, 6835, 603, 682, 264, 15553, 8352, 994, 279, 4545, 48282, 13, 8155, 1060, 1364, 6688, 603, 1057, 5144, 56874, 1139, 31022, 315, 1069, 88, 1295, 13, 358, 1097, 51975, 311, 2019, 10705, 374, 2103, 3451, 263, 279, 5663, 20182, 439, 832, 315, 856, 387, 2277, 41957, 2795, 13, 10291, 1457, 358, 649, 21930, 433, 389, 856, 387, 2277, 2007, 45088, 1202, 1620, 88848, 16751, 10934, 1139, 264, 6710, 315, 78348, 31817, 627, 2028, 892, 2212, 1364, 1766, 264, 5497, 369, 279, 1455, 69970, 278, 9824, 2697, 53369, 42844, 6319, 555, 47363, 24980, 3258, 12, 1548, 589, 13, 9062, 315, 603, 21879, 459, 53369, 95708, 304, 1057, 7075, 27230, 439, 264, 15553, 8352, 13, 3277, 584, 5602, 279, 1176, 832, 279, 2800, 315, 279, 1912, 743, 709, 264, 83981, 5237, 3633, 315, 289, 33746, 1494, 82, 13, 4149, 22851, 25, 84358, 2727, 11, 84358, 2727, 11, 84358, 2727, 11, 358, 72306, 11, 358, 72306, 13, 2100, 45105, 13, 1226, 10456, 279, 2697, 53369, 627, 3112, 14132, 358, 574, 279, 421, 6729, 478, 315, 1124, 682, 13, 8840, 25237, 4999, 4071, 1268, 1436, 358, 539, 421, 483, 30, 1102, 753, 779, 19369, 627, 2746, 499, 1390, 264, 2697, 53369, 315, 701, 1866, 11, 2010, 927, 311, 47363, 753, 3997, 323, 3780, 279, 16530, 13, 1628, 7344, 2555, 775, 2288, 1389, 1070, 753, 264, 2697, 12224, 5497, 14382, 198, 8586, 753, 2500, 2697, 53369, 5497, 422, 701, 3254, 53369, 1053, 1093, 264, 22489, 13, 1102, 753, 264, 1949, 3094, 14656, 30308, 6685, 22237, 304, 13072, 3645, 11, 555, 432, 61306, 17958, 3978, 2629, 13, 1102, 374, 304, 15155, 719, 279, 7397, 527, 5128, 2867, 627, 23956, 358, 574, 264, 2478, 8158, 4227, 11, 358, 4934, 311, 1935, 420, 3917, 264, 2766, 4726, 627, 2367, 75964, 1303, 44912, 2873, 311, 387, 2478, 323, 3117, 1990, 389, 279, 8191, 13, 2468, 3325, 11, 1884, 902, 4639, 279, 1648, 358, 1450, 61836, 13, 358, 4934, 311, 3085, 264, 4526, 315, 7902, 719, 14132, 420, 374, 539, 2133, 311, 3621, 627, 42584, 800, 13915, 706, 264, 2294, 22237, 8621, 389, 75842, 22168, 1389, 24118, 701, 8704, 3489, 321, 1303, 13, 358, 4762, 1093, 420, 22237, 1606, 420, 374, 7041, 1268, 358, 1450, 61836, 13, 3005, 40912, 279, 20263, 445, 982, 57267, 11, 323, 279, 72523, 20991, 270, 318, 901, 627, 14364, 22237, 374, 264, 2835, 1903, 555, 35336, 47685, 13, 3005, 5829, 279, 3185, 315, 279, 270, 318, 901, 4856, 1109, 279, 11813, 627, 40, 617, 220, 17, 72523, 20991, 270, 21495, 645, 719, 1766, 264, 17104, 15310, 323, 61016, 295, 270, 318, 901, 520, 279, 7327, 3489, 3036, 17772, 13, 19332, 555, 350, 622, 27109, 11, 433, 374, 16102, 29441, 311, 856, 14654, 323, 1633, 5128, 627, 2028, 374, 856, 733, 311, 270, 318, 901, 439, 433, 374, 3177, 719, 3831, 13, 1102, 6276, 856, 14654, 32095, 311, 52651, 704, 520, 279, 11813, 627, 2181, 11321, 6555, 389, 856, 14654, 11, 323, 433, 374, 1093, 264, 6710, 315, 31817, 627, 5159, 22698, 374, 311, 4585, 279, 75964, 1303, 31409, 1701, 279, 3185, 477, 2385, 315, 279, 270, 318, 901, 323, 1070, 527, 11510, 315, 5213, 125800, 311, 17543, 279, 842, 1418, 51346, 433, 1555, 279, 13354, 13, 19984, 9151, 279, 842, 315, 279, 31409, 520, 264, 1314, 9392, 311, 279, 13354, 358, 30373, 4585, 279, 11813, 1555, 3156, 358, 649, 2733, 433, 449, 279, 6278, 14654, 30456, 13, 5112, 358, 19336, 1203, 709, 11, 3577, 279, 13354, 1523, 779, 433, 3727, 264, 2697, 24898, 389, 1948, 323, 4585, 279, 31409, 1555, 13, 22591, 67724, 1742, 13, 5046, 3388, 11, 358, 617, 264, 1650, 37588, 14654, 11813, 1306, 264, 1418, 1981, 627, 2028, 6945, 374, 264, 7872, 315, 16591, 4656, 592, 580, 276, 1389, 27700, 278, 1989, 61836, 13, 1102, 374, 1450, 61836, 291, 1701, 767, 36110, 660, 75964, 1303, 24428, 902, 374, 856, 1455, 478, 4799, 98205, 955, 315, 4617, 13, 11746, 14282, 291, 477, 767, 36110, 660, 4617, 6835, 499, 264, 17104, 5066, 6324, 315, 2955, 323, 12745, 389, 1948, 315, 279, 6710, 627, 791, 1427, 323, 2733, 315, 279, 1450, 61836, 33961, 374, 5016, 13, 763, 2077, 311, 856, 6931, 1772, 47142, 6267, 1389, 1054, 791, 2733, 11, 279, 10651, 323, 279, 10973, 13444, 315, 279, 1450, 311, 13354, 1989, 374, 539, 1524, 15499, 30139, 311, 279, 5780, 28598, 1121, 49216, 4599, 358, 1176, 11096, 264, 75964, 1303, 33592, 11, 1203, 304, 220, 2550, 22, 11, 358, 3463, 1054, 45010, 1274, 527, 19058, 3097, 53967, 311, 8493, 9214, 315, 4207, 3339, 5238, 315, 13987, 63036, 13, 4702, 311, 3412, 1063, 2697, 9660, 315, 13354, 3871, 30, 10009, 3083, 84704, 386, 5358, 50, 49216, 7979, 323, 856, 52319, 5780, 527, 14268, 13171, 315, 80231, 13354, 3871, 13, 4740, 682, 11, 358, 1903, 856, 1866, 15447, 555, 5780, 369, 1667, 1418, 358, 12439, 304, 279, 4410, 85318, 11, 3249, 3009, 1457, 30, 2100, 856, 1176, 22772, 75964, 2641, 1051, 5780, 61836, 291, 13, 15668, 4382, 7833, 5238, 627, 8586, 753, 264, 3345, 709, 315, 62245, 355, 529, 60287, 899, 645, 28968, 811, 220, 16, 449, 5780, 95708, 8502, 17560, 5238, 13, 1628, 10035, 11, 1070, 374, 912, 3488, 358, 61836, 291, 323, 8220, 420, 6710, 1633, 6288, 627, 31082, 358, 2751, 11953, 3201, 323, 9687, 1268, 311, 5780, 43773, 698, 323, 757, 8363, 323, 3350, 272, 16921, 323, 1304, 56994, 14382, 198, 2028, 374, 264, 7872, 315, 279, 72829, 22676, 61836, 45201, 6193, 386, 14310, 51410, 11940, 13, 358, 6319, 433, 520, 264, 42893, 51353, 80599, 26129, 304, 26367, 84, 936, 71, 13, 1472, 649, 1518, 279, 43773, 50185, 75964, 1303, 10168, 279, 6710, 3871, 627, 3112, 433, 4460, 5780, 80231, 627, 11769, 3254, 6710, 315, 420, 61836, 374, 1450, 95708, 3871, 449, 264, 48135, 927, 27494, 13, 9934, 323, 1450, 61836, 323, 499, 1053, 617, 1633, 36366, 19779, 11, 50739, 3411, 61437, 63036, 323, 264, 14470, 326, 6895, 61836, 13, 1102, 3727, 5647, 311, 1005, 264, 52319, 5780, 389, 1778, 20155, 627, 8607, 1989, 75964, 2641, 3432, 11, 323, 1524, 8776, 75964, 2641, 11, 527, 5780, 95708, 13, 20055, 398, 627, 10596, 520, 420, 6710, 3549, 555, 25518, 285, 921, 1604, 53071, 627, 28671, 74, 574, 22034, 279, 220, 679, 17, 11060, 17768, 369, 8926, 5277, 5050, 520, 279, 37811, 37, 304, 16386, 11, 8421, 13, 1115, 374, 682, 5780, 80231, 13, 1102, 753, 5115, 41792, 13, 1102, 3727, 264, 1972, 5224, 369, 1701, 264, 52319, 5780, 439, 459, 1989, 5507, 627, 40, 1550, 1304, 3892, 75964, 2641, 1701, 5780, 75964, 1303, 13, 358, 1524, 11021, 264, 2875, 6916, 75964, 1303, 4124, 779, 358, 1436, 2865, 323, 990, 389, 8294, 9863, 627, 4071, 358, 574, 22999, 922, 420, 1450, 75964, 1303, 2626, 323, 6773, 311, 1456, 433, 704, 13, 578, 27509, 3697, 9087, 323, 264, 43660, 2363, 1389, 3011, 24118, 69023, 555, 72523, 20991, 4584, 6719, 3433, 2751, 757, 2216, 67724, 627, 791, 1427, 315, 279, 63036, 374, 17104, 11, 323, 1888, 315, 682, 11, 3339, 279, 63036, 374, 78729, 323, 26733, 13, 763, 856, 1917, 1070, 374, 912, 12593, 1990, 1450, 323, 5780, 75964, 1303, 13, 2435, 527, 1403, 2204, 10099, 449, 2204, 25664, 304, 2324, 13, 1442, 358, 1436, 387, 264, 7491, 5780, 934, 2088, 358, 1053, 1389, 719, 433, 3287, 1431, 1935, 627, 4516, 358, 5268, 311, 387, 264, 7491, 1450, 934, 2088, 323, 4774, 856, 6366, 270, 21495, 645, 323, 1650, 37588, 72148, 13, 1628, 1457, 358, 1450, 33961, 682, 279, 1989, 75964, 2641, 358, 1893, 627, 4599, 420, 5497, 505, 2893, 329, 323, 6739, 8710, 709, 358, 7846, 1431, 22884, 433, 13, 3092, 6691, 16180, 281, 56458, 1389, 1364, 6880, 1124, 3451, 10194, 86, 826, 24535, 358, 1903, 832, 369, 1077, 15553, 627, 791, 8220, 387, 14589, 281, 46972, 374, 1120, 927, 832, 17560, 1579, 13, 1102, 706, 264, 2697, 9986, 902, 3445, 433, 649, 387, 14980, 709, 13, 1442, 499, 1051, 8430, 2216, 30571, 499, 1436, 1304, 1403, 323, 617, 264, 6857, 315, 3451, 10194, 24510, 529, 67301, 13, 2582, 1304, 832, 369, 264, 42844, 627, 7009, 1304, 709, 2216, 6288, 779, 499, 649, 617, 832, 8220, 304, 459, 11714, 627, 2170, 358, 1097, 264, 934, 2088, 358, 1047, 11510, 315, 51910, 92885, 311, 5266, 279, 2547, 13, 22748, 433, 32620, 779, 279, 2547, 13656, 709, 7833, 627, 791, 11470, 527, 1949, 11, 814, 527, 1664, 5439, 1389, 520, 3325, 358, 16365, 1124, 0, 1628, 1070, 527, 47287, 311, 733, 449, 279, 1495, 13, 578, 5497, 574, 6319, 555, 8563, 13972, 627, 11631, 701, 387, 14589, 281, 46972, 5497, 505, 2893, 329, 323, 6739, 14756, 13, 1472, 656, 1205, 311, 387, 264, 33215, 311, 279, 14756, 311, 4232, 420, 4040, 2447, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 25099, 374, 279, 1401, 311, 2324, 0, 1628, 584, 617, 2555, 369, 5127, 596, 36263, 1618, 13, 5659, 87952, 11936, 311, 279, 220, 3753, 15, 82, 2477, 13280, 11, 499, 690, 1505, 1120, 1148, 499, 2351, 3411, 369, 13, 5659, 11325, 7437, 311, 24318, 69605, 64436, 11, 279, 5873, 374, 18821, 627, 2460, 315, 1057, 5609, 12383, 617, 14265, 11, 3544, 1194, 323, 527, 10728, 369, 9191, 1274, 449, 32415, 6548, 492, 311, 1833, 13, 2435, 649, 387, 4604, 84621, 1142, 477, 584, 3085, 3927, 5609, 12383, 482, 1120, 2015, 439, 1690, 439, 499, 1205, 13, 5751, 5644, 4791, 20521, 7437, 527, 10728, 369, 13326, 2512, 2162, 5820, 30478, 3046, 627, 25099, 323, 26139, 374, 264, 17033, 15419, 430, 649, 15405, 4353, 40412, 19459, 369, 1884, 449, 52857, 323, 649, 1520, 364, 675, 3448, 6, 4423, 596, 17743, 323, 3493, 459, 20616, 1139, 872, 3347, 6439, 13, 8595, 539, 923, 264, 2478, 24198, 311, 1520, 449, 37390, 323, 923, 2802, 311, 264, 4731, 15419, 3882, 627, 10445, 539, 2543, 1203, 279, 9042, 449, 1057, 11070, 39393, 31125, 30704, 11325, 323, 5609, 2239, 743, 13, 34199, 660, 1139, 5526, 5041, 3039, 15612, 1592, 981, 11, 1884, 449, 279, 10151, 649, 15612, 3201, 311, 279, 4731, 1418, 3885, 7936, 3235, 311, 279, 4339, 13, 1442, 499, 1120, 1390, 311, 15998, 709, 389, 701, 29066, 15105, 2085, 279, 26139, 11, 1057, 13131, 3039, 70629, 10948, 11325, 374, 279, 4832, 5844, 857, 3904, 311, 279, 11506, 1354, 4999, 42, 826, 315, 44851, 374, 1120, 279, 3245, 311, 4933, 264, 1208, 3948, 389, 264, 41630, 13658, 477, 11714, 11, 19937, 449, 68782, 323, 41367, 11936, 505, 279, 13452, 315, 279, 6122, 2439, 11, 11291, 82188, 11, 19036, 81367, 5099, 13, 1102, 1304, 264, 2294, 8352, 311, 26085, 4423, 709, 2288, 627, 2675, 3077, 10456, 279, 9698, 11, 1457, 4774, 26139, 3235, 311, 682, 701, 19214, 55090, 449, 1057, 2468, 279, 27019, 11325, 323, 5609, 2239, 743, 13, 65465, 3544, 11, 14265, 1194, 3727, 420, 4832, 369, 9191, 1274, 477, 5606, 449, 264, 14254, 53317, 13, 220, 845, 19214, 55090, 2997, 364, 76702, 304, 3816, 6, 505, 22938, 11617, 11, 364, 2170, 4212, 61261, 3296, 6, 505, 11301, 370, 10946, 936, 323, 11070, 287, 763, 578, 22674, 505, 279, 4295, 4632, 13, 9176, 315, 279, 55090, 527, 42045, 1193, 11, 902, 3727, 420, 2294, 369, 26139, 5315, 627, 40914, 311, 636, 5127, 304, 279, 59937, 9090, 0, 220, 1135, 10280, 58034, 311, 7936, 3235, 311, 323, 95263, 3347, 6380, 19459, 13, 2052, 11936, 555, 4113, 13820, 627, 35353, 11, 14265, 1194, 362, 19, 5609, 2239, 311, 19780, 1057, 10280, 11070, 39393, 11325, 323, 19508, 2239, 743, 13, 49527, 422, 499, 1205, 810, 1109, 832, 2363, 482, 2015, 439, 1690, 439, 499, 1205, 13, 5856, 26139, 706, 1027, 19168, 311, 387, 7701, 24629, 311, 5606, 5496, 449, 264, 52857, 13, 10928, 6901, 11028, 315, 1664, 22015, 58034, 527, 4832, 369, 5606, 449, 7347, 6666, 9575, 13, 353, 68595, 3336, 32401, 18076, 643, 198, 9315, 682, 701, 19214, 55090, 449, 1057, 37626, 622, 10647, 2054, 11, 449, 264, 220, 1691, 267, 28200, 27744, 13, 3053, 387, 10815, 311, 50712, 482, 1120, 2610, 1148, 11936, 499, 1053, 1093, 311, 6865, 323, 433, 690, 1514, 0, 1472, 649, 1101, 1005, 433, 311, 24928, 499, 994, 311, 1935, 24099, 11, 1148, 4455, 82437, 527, 13205, 11, 2339, 709, 389, 279, 502, 323, 9020, 311, 904, 9063, 8216, 13, 49527, 369, 1884, 5496, 449, 264, 52857, 482, 27024, 4477, 8554, 439, 264, 27626, 13, 24118, 369, 1005, 449, 2512, 2162, 11062, 323, 1884, 5496, 29235, 27083, 627, 33099, 3725, 4183, 6380, 11936, 22923, 612, 26921, 264, 6928, 612, 21416, 7936, 19308, 647, 3882, 13, 1115, 374, 539, 1120, 264, 18584, 11, 420, 374, 264, 34030, 5820, 430, 649, 387, 14333, 892, 612, 892, 1578, 13, 1115, 374, 439, 3345, 311, 264, 3974, 39823, 291, 477, 3663, 4791, 30188, 7936, 19308, 647, 3882, 499, 649, 636, 13, 54064, 2023, 287, 5609, 2239, 374, 17124, 304, 12745, 449, 24142, 10666, 304, 2867, 612, 4228, 311, 1373, 362, 19, 25112, 627, 32, 16560, 59937, 2373, 315, 1057, 5526, 7936, 39393, 7437, 13, 220, 1958, 1664, 27578, 2111, 10280, 49644, 11936, 2737, 1841, 3145, 323, 5526, 11936, 2737, 386, 29400, 998, 68, 612, 32926, 11, 622, 2222, 426, 6572, 5099, 13, 4427, 1812, 48779, 323, 1063, 2539, 11936, 627, 11874, 4207, 315, 1664, 27578, 2111, 11, 86605, 1812, 48779, 505, 220, 6393, 15, 311, 279, 3118, 1938, 13, 49527, 369, 264, 4717, 477, 1120, 264, 1695, 2362, 7936, 39393, 13, 27044, 362, 19, 3544, 1194, 5609, 2239, 13, 54751, 2997, 364, 9219, 78212, 518, 364, 44, 16094, 648, 3297, 518, 364, 4554, 2468, 578, 10846, 22353, 1628, 14409, 6, 323, 1690, 810, 4999, 11873, 5609, 2239, 304, 3544, 11, 14265, 1194, 311, 19780, 1057, 8722, 435, 70416, 220, 17, 865, 11325, 612, 5609, 2239, 743, 13, 220, 1041, 1664, 10456, 14242, 11, 10728, 369, 5606, 9191, 477, 449, 7347, 14254, 13, 5856, 26139, 706, 1027, 19168, 311, 617, 264, 24629, 2515, 389, 1274, 482, 5423, 369, 5606, 5496, 449, 264, 52857, 13, 3580, 3770, 369, 3839, 15182, 627, 91557, 2442, 3713, 58034, 505, 279, 220, 1135, 82, 14, 1399, 82, 13, 11325, 16, 374, 2875, 84490, 320, 64053, 369, 10368, 16079, 570, 11325, 17, 374, 2539, 4113, 11936, 449, 3544, 1194, 5609, 2239, 13, 37970, 264, 2294, 5369, 311, 904, 25960, 4717, 477, 22310, 13, 16457, 369, 3995, 323, 2362, 27083, 449, 1521, 58034, 311, 7936, 3235, 323, 15612, 311, 627, 7816, 54969, 2294, 82, 311, 636, 279, 4717, 2133, 0, 11325, 16, 706, 2875, 1812, 48779, 505, 279, 9958, 430, 527, 10728, 369, 10368, 16079, 13, 11325, 17, 706, 2539, 14242, 13, 65840, 2997, 2577, 78772, 64643, 11, 85545, 5158, 323, 39627, 13, 10435, 389, 701, 29066, 15653, 323, 364, 496, 332, 701, 6392, 6, 311, 1521, 2523, 13280, 315, 279, 220, 2031, 82, 14, 1490, 82, 627, 10464, 1285, 5066, 5609, 2239, 311, 733, 449, 1057, 5526, 7054, 18165, 220, 6280, 15, 82, 13280, 2033, 11325, 323, 5609, 2239, 743, 13, 220, 1135, 1664, 27578, 2111, 11936, 311, 7936, 3235, 311, 323, 682, 304, 3544, 11, 14265, 1194, 430, 1304, 433, 4228, 311, 1373, 13, 8595, 539, 3780, 3403, 369, 701, 1912, 323, 923, 1063, 18273, 24198, 311, 2216, 636, 5127, 304, 279, 20247, 0, 353, 68595, 3336, 32401, 18076, 643, 627, 1135, 4113, 58105, 53805, 505, 279, 220, 6280, 15, 82, 311, 7936, 39393, 311, 13, 27044, 220, 17, 62437, 5636, 3544, 1194, 5609, 2239, 13, 53204, 2997, 25, 67306, 4203, 3258, 11, 25225, 285, 6187, 323, 810, 627, 1135, 19214, 53805, 505, 279, 220, 5162, 15, 82, 311, 7936, 39393, 311, 13, 2638, 5764, 220, 17, 62437, 5636, 3544, 1194, 5609, 2239, 13, 27044, 67306, 4203, 3258, 11, 578, 67549, 323, 810, 627, 60300, 3235, 311, 682, 701, 19214, 13280, 304, 420, 362, 19, 3544, 14265, 1194, 5609, 2239, 13, 1115, 5066, 5609, 2239, 7902, 449, 1057, 5742, 220, 16, 54751, 11325, 323, 19508, 2239, 2638, 320, 1889, 25, 11325, 1399, 8, 311, 2187, 5066, 20852, 13, 353, 68595, 3336, 32401, 18076, 643, 627, 1959, 220, 1041, 19214, 11, 83374, 1812, 48779, 389, 264, 2294, 2033, 11325, 4526, 13, 578, 3544, 43245, 4604, 84621, 2205, 5609, 2239, 4519, 4339, 311, 682, 279, 11936, 13, 1556, 10728, 43650, 3510, 768, 12576, 13, 40200, 2997, 25, 364, 31784, 3216, 4718, 42782, 39863, 518, 364, 33, 1752, 364, 2321, 2052, 518, 364, 791, 32402, 774, 12839, 6, 323, 1690, 810, 4999, 100192, 5066, 5609, 2239, 311, 733, 449, 1057, 5526, 24241, 21882, 2033, 11325, 323, 5609, 2239, 743, 13, 220, 1041, 71414, 5609, 1812, 48779, 311, 19780, 13, 6017, 374, 3544, 11, 14265, 1194, 311, 1304, 433, 4228, 311, 1373, 13, 49527, 11936, 369, 4731, 15419, 5315, 5423, 369, 5606, 5496, 449, 264, 52857, 13, 353, 68595, 3336, 32401, 18076, 643, 627, 10803, 4406, 278, 11519, 350, 1354, 3258, 323, 30500, 10437, 383, 7183, 578, 53527, 62088, 46276, 603, 449, 220, 1135, 83374, 1812, 48779, 505, 279, 220, 6393, 15, 82, 13, 27044, 3544, 1194, 362, 19, 5609, 2239, 430, 649, 387, 4604, 84621, 1142, 311, 7431, 3544, 5315, 311, 5249, 304, 323, 7936, 3235, 311, 872, 19214, 14242, 627, 11873, 5609, 2239, 311, 19780, 1057, 11325, 323, 19508, 2239, 743, 315, 220, 1135, 1812, 3258, 11936, 505, 279, 220, 6393, 15, 82, 13, 6017, 374, 304, 3544, 11, 14265, 1194, 430, 3727, 433, 5423, 1695, 369, 9191, 1274, 13, 10948, 15419, 706, 17033, 311, 387, 11190, 369, 5606, 5496, 449, 264, 52857, 13, 10928, 6901, 14242, 527, 10728, 369, 1884, 449, 264, 7347, 6666, 9575, 5013, 68595, 3336, 32401, 18076, 643, 627, 60300, 3235, 311, 220, 1591, 4851, 2695, 34002, 11936, 505, 279, 5526, 10868, 323, 13219, 505, 6406, 28457, 16876, 304, 14990, 13, 27044, 362, 19, 3544, 1194, 5609, 2239, 13, 19122, 14624, 520, 1202, 1888, 449, 264, 7029, 2134, 315, 4382, 7936, 3235, 55090, 505, 279, 26139, 34821, 627, 2675, 649, 4661, 1518, 279, 11506, 1354, 11, 12700, 14531, 323, 2064, 819, 315, 84064, 263, 449, 420, 50189, 13131, 3039, 70629, 10948, 11325, 13, 10699, 2731, 1109, 279, 36467, 315, 5041, 3039, 7200, 4731, 11, 33412, 8211, 83838, 323, 13142, 25733, 311, 18454, 499, 449, 220, 4370, 15612, 53805, 13, 10948, 374, 19180, 1139, 15612, 24108, 13, 24118, 369, 430, 13658, 15600, 15612, 0, 7429, 1304, 264, 2294, 22443, 17479, 5844, 857, 3904, 627, 1272, 65464, 323, 95609, 11936, 311, 12157, 701, 20247, 13, 362, 22443, 6651, 315, 67743, 4511, 323, 18330, 11936, 311, 7936, 3235, 311, 13, 27044, 362, 19, 3544, 1194, 5609, 2239, 430, 649, 387, 4604, 84621, 1142, 311, 7431, 3544, 5315, 311, 4774, 26139, 3235, 311, 1521, 19214, 55090, 627, 4645, 5526, 55090, 6476, 389, 459, 2362, 68556, 468, 1103, 21114, 10995, 3041, 420, 743, 264, 12742, 3210, 83374, 2733, 5450, 7548, 389, 4264, 24142, 323, 264, 220, 845, 2199, 7936, 39393, 5609, 2363, 627, 62698, 950, 93148, 11, 279, 4832, 5820, 369, 1938, 36282, 11, 2512, 10632, 323, 19424, 13, 29524, 1194, 1022, 279, 1847, 25112, 499, 1397, 11, 3480, 389, 323, 1514, 4999, 6854, 499, 10765, 279, 10578, 30, 1115, 45241, 76985, 1105, 11325, 612, 6938, 2638, 374, 264, 2294, 14624, 5820, 369, 9191, 1274, 304, 2512, 10632, 627, 1399, 23160, 68782, 323, 11936, 311, 4933, 264, 43560, 273, 13, 220, 18, 4207, 315, 11670, 58034, 505, 40139, 24421, 11, 49498, 13926, 11, 61352, 8384, 11118, 323, 1690, 810, 13, 84135, 3235, 449, 279, 6122, 2439, 364, 56, 287, 51491, 19508, 6, 438, 48973, 1884, 38057, 449, 364, 12555, 356, 5100, 6, 555, 25972, 42865, 3235, 449, 1690, 810, 627, 1991, 5127, 32681, 3235, 449, 1521, 23160, 53805, 482, 4395, 505, 95285, 8270, 311, 4497, 92157, 323, 62101, 13, 9176, 690, 6227, 1521, 12835, 7561, 24725, 58034, 505, 279, 6007, 323, 9063, 5039, 315, 279, 3347, 13, 220, 2075, 68782, 323, 11936, 311, 18454, 2225, 3995, 323, 2362, 627, 60300, 39393, 311, 1521, 11670, 13280, 315, 279, 220, 6280, 15, 82, 323, 4774, 279, 2835, 311, 8346, 24632, 19459, 13, 22991, 505, 26480, 11, 24318, 69605, 11, 25695, 477, 6437, 4264, 11028, 627, 39814, 11, 3821, 11, 7936, 39393, 477, 656, 682, 2380, 449, 420, 11364, 4526, 315, 9454, 93839, 596, 1455, 1664, 3967, 90113, 13, 28730, 5101, 389, 4264, 439, 499, 7936, 13, 22991, 505, 26480, 11, 24318, 69605, 477, 25695, 2373, 4519, 13, 27044, 25, 364, 2645, 14381, 304, 279, 13120, 518, 364, 29951, 20793, 3161, 2206, 6, 323, 1690, 810, 13280, 627, 508, 19214, 11670, 11936, 505, 279, 1455, 1664, 3967, 6566, 18273, 82, 482, 1070, 596, 2555, 1618, 369, 5127, 311, 3821, 11, 9020, 323, 5249, 304, 13, 8681, 369, 3544, 5315, 627, 38, 24705, 7091, 11, 36858, 11, 30371, 7091, 11, 8987, 9501, 11, 2477, 420, 18584, 706, 433, 682, 13, 4610, 332, 701, 6392, 449, 220, 605, 1664, 3967, 11936, 2737, 13280, 505, 14469, 7209, 11, 38530, 4323, 288, 11, 29988, 2465, 77185, 6672, 11, 31858, 5929, 323, 810, 4999, 2460, 701, 58034, 311, 2804, 311, 449, 420, 2294, 55957, 323, 46048, 57200, 24318, 69605, 18584, 13, 469, 7776, 27894, 273, 52668, 477, 83443, 2212, 1093, 60333, 622, 10322, 0, 3161, 220, 605, 2294, 14242, 311, 7936, 3235, 311, 11, 449, 264, 1396, 315, 3113, 2671, 311, 5268, 505, 11, 279, 2523, 8638, 1618, 4999, 3957, 13842 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 65007, 2234, 480, 15686, 100236, 81, 5281, 5165, 5657, 11, 902, 41095, 279, 28497, 36373, 7217, 480, 15686, 323, 100236, 81, 5281, 320, 4291, 6166, 2234, 7438, 1054, 16966, 467, 56955, 22225, 2011, 4478, 439, 832, 315, 279, 12224, 287, 22020, 315, 36664, 13936, 11, 323, 374, 36659, 279, 1455, 3062, 323, 1664, 22015, 12224, 287, 2816, 389, 279, 13218, 315, 8102, 13, 9843, 499, 10299, 311, 13141, 433, 12722, 1389, 902, 1253, 1935, 1063, 892, 422, 856, 1866, 5195, 11704, 527, 904, 28137, 1389, 499, 690, 1505, 11510, 315, 2038, 2930, 922, 279, 20229, 323, 279, 12224, 287, 2949, 420, 8056, 6246, 13, 358, 574, 1633, 40510, 311, 4034, 279, 6246, 11157, 11, 3131, 304, 5936, 220, 679, 17, 323, 1120, 6051, 304, 6841, 220, 679, 18, 11, 323, 649, 7373, 7838, 430, 279, 12224, 287, 374, 25706, 13, 1102, 374, 779, 25706, 13118, 11, 323, 279, 6246, 374, 779, 14134, 12263, 555, 12224, 388, 11, 430, 1070, 374, 7995, 912, 1205, 369, 904, 810, 12224, 287, 10631, 323, 2038, 922, 433, 13, 578, 12224, 287, 10537, 374, 779, 1790, 51114, 430, 358, 1511, 264, 1934, 505, 220, 2550, 21, 11, 902, 358, 1766, 1633, 11190, 323, 902, 649, 387, 1766, 1618, 13, 1115, 374, 1148, 1455, 8577, 6821, 690, 3371, 499, 512, 12, 22991, 356, 581, 347, 300, 439, 264, 6041, 1486, 323, 4822, 520, 96882, 753, 5105, 73437, 198, 12, 27628, 369, 520, 3325, 2380, 2919, 422, 499, 649, 198, 12, 4418, 1431, 10894, 311, 12224, 304, 356, 581, 347, 300, 23869, 45983, 19558, 198, 12, 25218, 279, 5426, 6246, 520, 356, 581, 347, 300, 11, 1070, 374, 1193, 832, 1853, 430, 11767, 709, 311, 279, 30048, 13, 2684, 323, 1203, 1578, 13, 578, 1925, 12224, 287, 14491, 3235, 420, 9025, 527, 320, 1527, 3428, 311, 1579, 27255, 8, 279, 20396, 3158, 11, 279, 40190, 315, 8868, 11940, 11, 279, 12292, 287, 11, 279, 10164, 13772, 11, 6690, 11233, 300, 11, 323, 1243, 279, 2800, 315, 279, 66306, 682, 279, 1648, 311, 279, 30048, 627, 12, 578, 1455, 3062, 14491, 369, 12224, 388, 527, 1990, 279, 20396, 323, 8868, 11940, 11, 449, 264, 2478, 60874, 520, 279, 12292, 287, 323, 279, 10164, 13772, 11, 323, 279, 1853, 505, 279, 70151, 311, 6690, 11233, 300, 13, 35971, 4726, 709, 374, 539, 1193, 1633, 79953, 320, 576, 374, 264, 66306, 11, 6227, 10380, 719, 690, 1101, 539, 923, 1790, 20057, 1389, 1193, 1063, 3361, 1385, 627, 10445, 1097, 358, 4477, 264, 1772, 922, 12224, 287, 22450, 2234, 480, 15686, 100236, 81, 5281, 994, 682, 753, 1027, 1071, 323, 2884, 2736, 5380, 11649, 11, 499, 1518, 5354, 279, 6246, 15812, 1193, 1403, 4207, 10007, 315, 64133, 11, 264, 58506, 3158, 315, 810, 1109, 220, 966, 3610, 1274, 13, 7566, 11, 2212, 279, 1890, 1396, 315, 1274, 3974, 2949, 1403, 4207, 315, 279, 5426, 6246, 439, 304, 682, 315, 7008, 13, 1115, 3727, 22450, 2234, 480, 15686, 264, 1633, 5526, 9178, 9284, 11, 323, 499, 617, 912, 4623, 1268, 1790, 279, 4751, 1054, 1225, 863, 3966, 311, 387, 46728, 1618, 13, 1952, 264, 9178, 11, 279, 6246, 374, 1120, 19937, 449, 1274, 13, 7648, 8577, 6821, 9093, 5042, 8631, 430, 12224, 388, 1288, 5766, 279, 38102, 13, 16299, 374, 7060, 994, 499, 527, 389, 264, 13560, 8577, 1405, 499, 649, 1514, 2212, 449, 701, 74004, 13, 1442, 4869, 499, 527, 389, 264, 2626, 8577, 311, 64133, 323, 3685, 311, 990, 2391, 279, 2046, 11, 499, 617, 719, 2697, 5873, 311, 12224, 279, 6246, 389, 279, 9178, 13, 1115, 12716, 1202, 1633, 1866, 11774, 323, 15174, 922, 902, 2697, 706, 1027, 5439, 627, 644, 420, 1176, 961, 11, 358, 4805, 5357, 389, 279, 4689, 13878, 323, 43257, 11, 1418, 279, 2132, 961, 304, 6186, 690, 387, 389, 1268, 311, 1888, 37667, 279, 9178, 12224, 287, 627, 2028, 374, 279, 30048, 315, 100236, 81, 5281, 11, 3970, 505, 279, 33850, 1603, 279, 70151, 13, 85294, 11, 433, 753, 264, 1317, 1648, 311, 279, 1948, 422, 499, 33833, 7091, 61131, 529, 1119, 11, 719, 433, 753, 264, 1695, 3245, 279, 4827, 60108, 7091, 18813, 2653, 627, 5451, 2574, 1176, 25, 279, 2450, 4478, 13, 1442, 279, 3135, 315, 856, 1403, 23277, 527, 12401, 311, 279, 6037, 1109, 279, 4788, 11, 279, 12224, 287, 374, 18813, 9250, 389, 264, 9178, 13, 358, 59383, 4250, 29011, 13, 23150, 11, 2391, 856, 2875, 892, 7543, 520, 279, 6246, 11, 358, 617, 23926, 682, 1070, 374, 311, 636, 3770, 6690, 11233, 300, 11, 449, 279, 4788, 315, 7344, 1403, 311, 2380, 9606, 320, 1820, 32681, 61124, 1136, 323, 279, 21363, 58098, 4744, 323, 7344, 2555, 775, 358, 617, 25565, 570, 358, 649, 9093, 36015, 499, 430, 12224, 287, 279, 6246, 389, 264, 9178, 374, 11112, 5922, 433, 13, 2360, 1205, 311, 46996, 422, 264, 9178, 4034, 374, 682, 499, 649, 31335, 627, 39203, 84430, 20793, 7320, 388, 527, 24059, 279, 1455, 20697, 398, 5392, 3690, 12224, 9606, 25, 814, 527, 2697, 11, 814, 527, 44630, 11, 323, 814, 2339, 38204, 13, 7429, 11, 814, 527, 5128, 11, 4279, 11, 2187, 3345, 20414, 11, 323, 7936, 29921, 13, 2684, 374, 4400, 539, 311, 1093, 922, 1124, 627, 29132, 1071, 430, 11, 433, 374, 1633, 3062, 430, 499, 527, 10235, 96655, 369, 279, 32738, 13, 9220, 13124, 315, 20792, 5315, 21420, 279, 6246, 25, 1884, 889, 6056, 279, 30048, 323, 279, 30048, 1193, 11, 323, 1884, 889, 9395, 369, 264, 16736, 4321, 311, 279, 70151, 13, 1115, 3445, 430, 279, 33965, 690, 387, 1633, 39313, 1317, 1603, 64919, 555, 1884, 889, 527, 19946, 369, 279, 30048, 13, 763, 6841, 11, 1070, 574, 264, 6926, 4365, 315, 1274, 38464, 709, 1524, 1603, 220, 20, 264, 749, 2637, 323, 19762, 311, 4321, 1523, 279, 1853, 574, 1633, 5107, 25, 358, 1047, 311, 3868, 369, 264, 13225, 304, 279, 1584, 315, 1274, 311, 636, 3347, 15376, 5596, 315, 279, 1853, 11, 323, 1884, 33251, 1051, 2478, 323, 3117, 1990, 13, 1102, 374, 8831, 311, 37667, 264, 12185, 34353, 279, 1938, 1603, 10280, 1109, 311, 4321, 2403, 279, 4365, 315, 1274, 520, 22450, 2234, 480, 15686, 389, 264, 9178, 13, 4452, 11, 1884, 4216, 6693, 5315, 527, 10213, 30462, 323, 21737, 11, 19762, 311, 24804, 872, 11745, 323, 8333, 369, 279, 60108, 8469, 315, 1124, 13, 25929, 2391, 279, 6693, 279, 16736, 5315, 17782, 11, 1884, 889, 1193, 4321, 311, 279, 70151, 13, 4314, 5315, 690, 387, 1790, 810, 50380, 11, 3629, 14624, 311, 872, 71169, 11, 26139, 323, 48655, 311, 1855, 1023, 627, 1688, 1176, 358, 574, 2216, 84971, 555, 279, 35851, 11, 555, 872, 12248, 323, 311, 1063, 13334, 872, 39682, 287, 13, 4452, 11, 279, 2768, 10723, 15174, 9087, 19407, 304, 6975, 311, 4774, 279, 7138, 3217, 38913, 512, 16, 13, 7570, 422, 499, 1781, 279, 1274, 527, 92271, 701, 12224, 287, 1938, 11, 814, 527, 539, 13, 1472, 690, 636, 701, 20229, 323, 279, 1938, 690, 387, 6800, 627, 17, 13, 4314, 19664, 1274, 1389, 539, 279, 2478, 7362, 12224, 388, 1389, 527, 279, 1193, 2944, 499, 649, 12224, 22450, 2234, 480, 15686, 2085, 279, 6926, 5222, 315, 27271, 8805, 304, 701, 2487, 11, 477, 21420, 35006, 449, 12224, 2339, 388, 15691, 701, 2218, 9606, 704, 315, 279, 6246, 304, 81947, 13, 2893, 26259, 369, 279, 32738, 11, 499, 42210, 1124, 420, 6246, 627, 1135, 37356, 315, 9025, 2085, 264, 1912, 315, 1274, 374, 264, 11594, 892, 3235, 279, 1925, 9025, 389, 264, 9178, 13, 93921, 6629, 433, 422, 499, 649, 1389, 323, 387, 10235, 430, 499, 1253, 539, 1524, 387, 420, 18069, 90578, 3947, 374, 2555, 775, 358, 1205, 311, 6420, 922, 279, 2515, 315, 279, 6246, 753, 23354, 11, 323, 420, 374, 9193, 3062, 25, 422, 499, 12224, 22450, 2234, 480, 15686, 389, 264, 9178, 11, 656, 539, 3197, 311, 5387, 279, 6246, 323, 471, 311, 64133, 389, 7418, 13, 578, 19795, 690, 387, 779, 19857, 430, 279, 5754, 8577, 315, 1403, 4207, 690, 1935, 499, 709, 311, 220, 975, 4207, 1389, 912, 56825, 13, 1442, 701, 11277, 11141, 64133, 36113, 7418, 11714, 11, 499, 28832, 5387, 279, 6246, 3060, 389, 7884, 477, 389, 7418, 1603, 220, 21, 25, 966, 304, 279, 6693, 13, 18715, 11, 499, 2834, 1431, 1304, 433, 311, 279, 17149, 389, 892, 4999, 40, 1541, 1431, 617, 264, 6945, 315, 459, 59929, 9629, 20673, 11, 323, 88565, 499, 10932, 420, 622, 32005, 26769, 7716, 299, 660, 5929, 47797, 927, 264, 15860, 315, 9515, 13971, 627, 8538, 810, 3649, 922, 264, 12224, 287, 1938, 753, 43257, 25, 578, 6246, 374, 8036, 505, 220, 1721, 6186, 311, 220, 2148, 5587, 323, 304, 6287, 13, 2468, 356, 581, 347, 300, 11, 279, 6246, 753, 18618, 374, 1825, 220, 1187, 4207, 264, 1938, 11, 323, 499, 1253, 3810, 477, 5387, 30194, 499, 1390, 13, 1442, 499, 527, 9293, 311, 539, 733, 4726, 709, 1109, 279, 70151, 11, 499, 1253, 7782, 701, 11810, 520, 279, 5426, 6246, 753, 18618, 11, 520, 279, 2853, 315, 17715, 220, 18, 2326, 13244, 1442, 4869, 499, 527, 9293, 311, 733, 4726, 709, 11, 384, 1326, 13, 12224, 3235, 279, 3062, 14841, 505, 279, 70151, 311, 6690, 11233, 300, 499, 1205, 311, 636, 701, 11810, 520, 279, 6246, 753, 1925, 5274, 902, 3250, 1431, 1825, 3156, 220, 2589, 25, 966, 264, 749, 2637, 3339, 459, 4216, 6693, 753, 1212, 682, 719, 12266, 13, 4800, 11, 422, 682, 499, 1390, 374, 8493, 1063, 892, 1990, 279, 70151, 323, 6690, 11233, 300, 11, 912, 832, 690, 1389, 4762, 1389, 1665, 422, 499, 656, 779, 2085, 279, 463, 7067, 11810, 13, 358, 4070, 2646, 9152, 311, 4034, 279, 6246, 5274, 4245, 311, 892, 19477, 1771, 11, 2744, 4024, 311, 6690, 11233, 300, 323, 2646, 23926, 904, 27129, 13, 1115, 2816, 5825, 682, 279, 4033, 3649, 627, 2028, 8954, 1183, 9585, 1443, 41752, 1481, 12806, 1565, 11, 264, 3293, 6859, 505, 279, 1457, 47166, 42871, 24217, 64726, 291, 26313, 11, 65395, 5039, 430, 279, 64677, 529, 3611, 258, 1385, 311, 279, 348, 556, 437, 527, 2653, 311, 23973, 627, 7184, 430, 358, 4070, 15243, 922, 279, 16287, 47979, 11, 1095, 753, 636, 311, 279, 12224, 287, 13, 36539, 11, 358, 617, 912, 3445, 311, 9616, 439, 358, 4070, 24121, 12224, 291, 279, 6246, 389, 38102, 11, 719, 14132, 11, 19755, 11, 279, 1193, 1523, 25034, 315, 279, 38102, 311, 279, 90845, 2919, 374, 430, 279, 810, 84099, 20229, 11, 8104, 279, 5015, 1773, 9336, 388, 11, 690, 539, 33484, 7598, 2212, 389, 11, 477, 5425, 279, 13006, 13, 2435, 4805, 387, 264, 2478, 37356, 1828, 311, 279, 33965, 304, 29050, 54832, 13, 3234, 539, 1755, 9302, 35006, 449, 9606, 1093, 279, 1403, 289, 1466, 1481, 370, 71478, 11, 279, 1403, 2875, 86, 826, 477, 279, 96013, 42871, 24217, 1481, 616, 1142, 4366, 37977, 13, 1472, 690, 4869, 320, 77, 22928, 8, 7995, 6865, 1124, 11, 902, 12716, 757, 311, 279, 1486, 315, 420, 14646, 25, 12224, 10578, 13, 25531, 10235, 369, 279, 11936, 323, 6880, 315, 22450, 2234, 480, 15686, 753, 20229, 374, 16595, 13, 2876, 1193, 690, 499, 520, 3325, 6865, 279, 5015, 1773, 9336, 388, 11, 499, 690, 1101, 1440, 994, 311, 3009, 323, 2778, 279, 649, 76641, 369, 43258, 1778, 439, 279, 622, 32005, 3623, 971, 64, 11, 323, 11000, 1524, 810, 3062, 25, 499, 4805, 1440, 994, 539, 311, 3009, 13, 25531, 10235, 374, 539, 779, 11292, 3582, 439, 865, 12052, 1824, 13873, 706, 682, 279, 10578, 320, 35676, 1524, 12715, 2949, 279, 6246, 8, 323, 499, 649, 15376, 1523, 279, 9606, 1160, 311, 2212, 220, 966, 311, 220, 1272, 9606, 627, 791, 19149, 37179, 269, 23414, 574, 264, 9606, 358, 6724, 45536, 2391, 856, 1176, 4822, 304, 5936, 220, 679, 17, 13, 358, 1550, 539, 1193, 539, 1440, 1202, 5609, 11, 358, 1550, 539, 1440, 433, 25281, 304, 279, 1176, 2035, 13, 18242, 1023, 15606, 1126, 753, 5944, 6821, 27905, 574, 5115, 264, 10988, 11, 323, 304, 6841, 220, 679, 18, 358, 3782, 1203, 449, 264, 72788, 323, 279, 6677, 315, 1202, 6880, 11, 6522, 311, 5361, 35006, 627, 3812, 315, 961, 220, 16, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 4599, 499, 527, 53327, 264, 220, 20, 11, 220, 605, 11, 220, 868, 11, 220, 508, 11, 220, 966, 477, 220, 1272, 20085, 28550, 11, 499, 1390, 264, 2883, 499, 649, 7095, 449, 7729, 430, 1304, 499, 15648, 13, 21335, 603, 264, 1650, 3432, 323, 1518, 279, 6811, 584, 649, 1304, 304, 701, 1828, 8246, 477, 4335, 704, 2447, 627, 61346, 3041, 603, 264, 1650, 323, 584, 690, 1520, 499, 7216, 704, 701, 28550, 19160, 3966, 627, 8140, 99576, 6118, 733, 704, 1890, 11477, 477, 1828, 11477, 11911, 389, 994, 499, 1650, 627, 1687, 3493, 1948, 78611, 2532, 11, 1418, 2133, 4228, 389, 701, 5740, 1584, 13, 3639, 810, 1436, 499, 2610, 369, 5380, 8140, 16572, 20197, 527, 1618, 311, 3041, 499, 264, 5043, 323, 47947, 12862, 3217, 505, 1212, 311, 6381, 627, 12805, 499, 527, 2884, 11, 5042, 3041, 603, 264, 1650, 323, 584, 690, 636, 701, 28550, 13061, 709, 1314, 3201, 4999, 8140, 5687, 374, 1618, 311, 1520, 15716, 499, 1205, 433, 13, 29524, 3820, 709, 279, 4641, 323, 3041, 603, 264, 1650, 627, 13622, 9919, 477, 59589, 656, 539, 617, 1690, 14640, 9002, 28550, 19160, 439, 1317, 439, 499, 2567, 279, 28550, 11622, 389, 701, 1866, 3424, 2391, 279, 19160, 4261, 13, 1442, 499, 1205, 311, 2035, 701, 5593, 389, 279, 8761, 304, 904, 1648, 11, 499, 690, 4461, 617, 311, 6994, 264, 11810, 505, 279, 8475, 4857, 11810, 5274, 304, 701, 6424, 13, 1472, 649, 1817, 449, 701, 2254, 586, 4375, 9476, 311, 387, 2771, 627, 13622, 1443, 370, 6098, 64, 28550, 19160, 5220, 690, 1935, 2512, 315, 41577, 420, 11810, 369, 499, 422, 499, 8175, 505, 1124, 13, 7557, 2771, 430, 422, 499, 3207, 9293, 311, 2231, 279, 28550, 389, 279, 8761, 11, 279, 2883, 706, 1903, 279, 8475, 28904, 13, 1472, 1288, 1101, 6106, 430, 499, 636, 279, 11810, 304, 264, 32100, 11827, 323, 520, 279, 4495, 2853, 13, 1442, 499, 3463, 279, 28550, 2883, 574, 3794, 264, 11810, 323, 814, 1550, 539, 11, 499, 690, 387, 279, 832, 889, 690, 617, 311, 2343, 279, 7060, 430, 374, 11136, 555, 279, 11527, 627, 94963, 374, 2216, 264, 2326, 1614, 3967, 439, 1306, 735, 82, 15140, 13, 28621, 374, 304, 279, 6278, 315, 38379, 389, 279, 18671, 26, 25378, 922, 279, 11226, 26, 7777, 4355, 389, 279, 18561, 26, 323, 15013, 783, 389, 279, 19001, 3185, 13, 1102, 374, 19180, 1139, 220, 6550, 31276, 449, 220, 23574, 25861, 13, 578, 8244, 8752, 315, 279, 3137, 922, 374, 22126, 709, 555, 2225, 8518, 323, 33489, 3956, 627, 644, 3878, 315, 18054, 12571, 505, 701, 3838, 11, 499, 617, 264, 5743, 315, 2671, 25, 3539, 264, 30774, 99546, 2883, 477, 8530, 3469, 369, 220, 605, 39337, 44364, 304, 1443, 370, 6098, 64, 11, 11598, 13, 40730, 389, 701, 4040, 8670, 11, 3060, 3118, 304, 6721, 3600, 649, 3493, 499, 449, 279, 26964, 17065, 13291, 499, 1205, 311, 636, 701, 1866, 2162, 28822, 709, 6288, 520, 682, 0, 50820, 1022, 99576, 649, 6847, 8965, 387, 12504, 1022, 520, 520, 4661, 904, 3813, 499, 6562, 439, 1317, 439, 433, 1253, 539, 387, 14718, 51215, 311, 1023, 1274, 304, 279, 12818, 13, 1102, 374, 3062, 311, 1440, 279, 1314, 64101, 304, 5369, 311, 892, 4124, 902, 279, 28550, 690, 387, 5995, 779, 499, 649, 3371, 701, 19228, 323, 1524, 1023, 9873, 1603, 1450, 13, 358, 617, 311, 2019, 11, 6638, 1022, 99576, 7784, 956, 832, 315, 279, 1455, 8071, 34168, 3756, 779, 10923, 701, 12637, 19228, 1440, 690, 387, 1578, 13458, 750, 3062, 13, 578, 23701, 27767, 304, 902, 499, 3820, 690, 1243, 7068, 264, 892, 311, 3060, 3820, 709, 323, 1524, 8454, 279, 28550, 304, 279, 1567, 499, 1629, 704, 315, 3634, 627, 16298, 636, 9463, 315, 20181, 315, 11822, 430, 2103, 617, 5922, 13, 9176, 3115, 1274, 656, 539, 1524, 1440, 1884, 3673, 2103, 617, 5922, 13, 358, 617, 38171, 1766, 7528, 2835, 54858, 11, 23939, 11, 14048, 3673, 11, 9863, 315, 14891, 323, 3300, 13, 1102, 8741, 311, 387, 2523, 323, 1436, 387, 1093, 264, 32726, 93929, 304, 279, 12571, 13, 1102, 596, 1633, 4228, 369, 499, 311, 636, 3940, 304, 28550, 1156, 31529, 43515, 323, 499, 649, 3157, 279, 2574, 499, 1505, 311, 1304, 810, 3300, 13, 10435, 701, 22519, 3201, 369, 264, 1418, 1418, 10494, 10968, 389, 279, 3300, 499, 1436, 1304, 627, 2028, 1920, 449, 2204, 19339, 649, 387, 2204, 13, 763, 1063, 5157, 279, 5150, 92951, 3085, 499, 3196, 29618, 13, 33634, 5266, 323, 1243, 5266, 709, 279, 5150, 29618, 449, 682, 430, 499, 617, 311, 4148, 323, 994, 279, 5150, 29618, 527, 6118, 2539, 11, 17274, 315, 279, 27767, 17782, 304, 5369, 311, 1935, 279, 6392, 3201, 13, 2435, 6920, 704, 420, 4553, 1920, 439, 961, 315, 701, 9546, 13, 1115, 3460, 315, 7487, 1253, 6920, 1690, 9477, 477, 8530, 7739, 1778, 439, 279, 11302, 8205, 13, 1102, 374, 1120, 264, 8369, 323, 11919, 1648, 311, 1427, 369, 701, 14847, 477, 264, 16387, 304, 13118, 994, 814, 1390, 311, 1440, 922, 3016, 24617, 627, 10086, 264, 2883, 430, 649, 3085, 25402, 220, 605, 39337, 44364, 304, 1443, 370, 6098, 64, 11, 11598, 369, 701, 3339, 2447, 304, 2015, 311, 6288, 636, 264, 2683, 2884, 627, 56050, 2191, 11, 279, 1925, 1749, 315, 19546, 8752, 323, 374, 25051, 264, 502, 1523, 2543, 304, 279, 3293, 15082, 13, 4158, 1362, 1436, 387, 279, 1925, 2944, 449, 5363, 311, 25983, 12472, 315, 15613, 311, 92788, 323, 11857, 304, 279, 11323, 780, 4787, 11621, 311, 420, 13, 8595, 374, 279, 11841, 315, 279, 3137, 922, 16066, 6129, 6372, 315, 47810, 30, 578, 4320, 649, 387, 7000, 1023, 1109, 279, 5150, 84834, 54811, 315, 10495, 315, 279, 3137, 922, 602, 6990, 279, 13, 41086, 19679, 315, 279, 12571, 627, 2822, 5030, 1405, 499, 48383, 499, 1440, 430, 499, 617, 311, 2567, 701, 44200, 48104, 709, 311, 2457, 304, 279, 1567, 499, 1866, 682, 315, 1124, 323, 8175, 682, 315, 1124, 704, 13, 9029, 1390, 311, 3974, 304, 264, 6555, 11, 58905, 323, 6177, 44200, 627, 2170, 499, 656, 279, 2683, 11, 4205, 430, 8670, 311, 387, 7108, 649, 387, 15338, 1139, 279, 28550, 449, 5363, 311, 8175, 13, 1115, 690, 1304, 3585, 779, 1790, 8831, 13967, 13, 1472, 2834, 956, 690, 1205, 311, 636, 264, 3820, 709, 11092, 323, 1304, 1690, 23277, 311, 420, 10488, 13, 1472, 1253, 539, 617, 311, 1427, 520, 62305, 7384, 323, 5895, 1268, 499, 527, 2133, 311, 636, 1124, 704, 315, 279, 20085, 13, 3277, 499, 527, 2103, 4461, 311, 617, 311, 2804, 279, 990, 439, 1664, 439, 279, 4335, 709, 11, 420, 1253, 5353, 2574, 8831, 13, 22748, 433, 709, 311, 279, 8592, 627, 1383, 1701, 264, 12190, 28550, 477, 12190, 99576, 499, 690, 2567, 701, 10960, 7471, 3158, 12185, 29585, 1418, 499, 527, 3515, 279, 73509, 3130, 2884, 13, 1102, 690, 2567, 701, 49835, 323, 4029, 9873, 2262, 627, 2746, 499, 527, 9293, 389, 3815, 1063, 47035, 1109, 499, 3358, 1205, 311, 8175, 264, 28550, 13, 1442, 499, 8175, 1243, 264, 28550, 499, 649, 6847, 2567, 279, 86076, 3158, 12185, 29585, 13, 1472, 1541, 956, 6562, 279, 4885, 323, 19228, 42126, 304, 904, 5201, 315, 279, 1529, 8154, 21078, 2212, 539, 656, 499, 1390, 1521, 1274, 311, 1934, 499, 311, 279, 4379, 477, 1524, 701, 3158, 596, 4857, 45825, 627, 22105, 499, 527, 7999, 701, 15197, 8800, 701, 2626, 477, 2162, 13, 1472, 690, 1101, 690, 1205, 311, 8175, 264, 28550, 311, 10519, 701, 50555, 4401, 389, 892, 323, 1101, 39511, 13, 1472, 1253, 1455, 4461, 1120, 617, 311, 8175, 264, 2678, 28550, 449, 420, 2447, 2533, 433, 690, 3412, 40872, 311, 1403, 11510, 627, 7927, 1176, 3094, 4871, 35821, 264, 12818, 20085, 6412, 649, 387, 311, 636, 701, 4885, 323, 19228, 3871, 323, 1101, 7216, 704, 279, 13363, 13, 86023, 16470, 311, 264, 6574, 311, 3137, 922, 279, 4623, 311, 1304, 6261, 2561, 311, 279, 84116, 1732, 889, 3966, 311, 5249, 304, 8051, 706, 9141, 6725, 922, 279, 3814, 315, 420, 6574, 13, 1442, 499, 2351, 682, 3871, 11, 3137, 922, 279, 43257, 315, 433, 11, 7216, 704, 1268, 499, 3358, 586, 1082, 11, 323, 1304, 264, 52880, 11071, 449, 5363, 311, 8689, 5343, 13, 66379, 3445, 311, 9539, 1906, 24435, 15316, 779, 430, 2536, 29137, 8608, 1113, 15316, 2834, 956, 10160, 709, 68610, 520, 279, 892, 315, 279, 6412, 1903, 13, 17830, 11, 28902, 264, 2457, 323, 56445, 13172, 279, 1162, 1418, 499, 45063, 2574, 311, 3085, 627, 2685, 5859, 8645, 315, 44364, 25, 52783, 28550, 4131, 304, 4330, 21483, 48850, 220, 605, 41999, 20085, 11, 220, 845, 41999, 20085, 11, 25681, 1093, 220, 508, 41999, 20085, 11, 220, 966, 41999, 20085, 323, 1101, 220, 1272, 41999, 3424, 13, 1102, 374, 1027, 13468, 902, 20426, 220, 605, 11, 25681, 1093, 220, 508, 11, 220, 966, 11, 86043, 41999, 20085, 28550, 11, 220, 845, 41999, 20085, 28550, 1935, 892, 323, 5149, 311, 1505, 627, 10156, 1063, 315, 279, 30255, 902, 701, 6917, 17348, 1022, 220, 605, 39337, 44364, 304, 1443, 370, 6098, 64, 649, 387, 1511, 369, 11, 527, 5942, 3158, 315, 17614, 323, 14509, 7108, 505, 41626, 41582, 11, 264, 2035, 311, 2231, 13077, 7108, 505, 264, 40511, 38097, 3158, 311, 1304, 264, 6220, 323, 5222, 10353, 11, 3424, 81382, 3838, 30774, 323, 14891, 17065, 11, 323, 3230, 34978, 315, 459, 4857, 596, 3917, 5030, 439, 814, 527, 4529, 3201, 13, 4718, 28550, 374, 3629, 264, 6917, 304, 279, 4857, 30633, 11, 719, 433, 596, 539, 520, 682, 264, 36413, 294, 13, 3296, 3794, 459, 16430, 315, 3430, 505, 264, 2626, 889, 8964, 682, 279, 1888, 17348, 1022, 220, 605, 39337, 44364, 304, 1443, 370, 6098, 64, 11351, 304, 701, 3158, 11, 499, 690, 3665, 3300, 304, 701, 6020, 8199, 323, 499, 649, 1243, 1005, 902, 5066, 369, 832, 810, 7580, 627, 33, 88232, 617, 12742, 5718, 323, 14640, 449, 24886, 311, 23701, 30686, 11092, 13, 1472, 1053, 690, 1205, 311, 1650, 701, 88275, 311, 1505, 704, 1268, 12387, 18381, 9002, 23701, 649, 387, 9277, 704, 264, 2046, 323, 902, 304, 2543, 3673, 1288, 387, 47658, 13, 1472, 3358, 387, 3025, 311, 6724, 52144, 420, 3094, 555, 53327, 264, 8246, 28550, 627, 15346, 499, 617, 264, 3682, 31265, 6133, 349, 477, 1323, 347, 6427, 2447, 11, 42990, 832, 3544, 28550, 3445, 499, 1120, 617, 832, 5528, 315, 18054, 279, 8330, 8363, 13, 61328, 922, 12387, 23277, 311, 279, 85634, 323, 279, 12718, 814, 7631, 13, 12522, 264, 220, 605, 39337, 44364, 304, 1443, 370, 6098, 64, 11, 11598, 7626, 6068, 1022, 279, 28550, 304, 701, 19833, 323, 2865, 433, 709, 13, 1472, 3665, 11441, 555, 14713, 1203, 389, 6962, 11, 26225, 23277, 311, 279, 10488, 11, 323, 63082, 449, 279, 3769, 13, 12623, 814, 690, 5268, 323, 28490, 315, 701, 16174, 369, 499, 13, 578, 1828, 13402, 499, 617, 264, 1323, 347, 6427, 2447, 11, 1304, 3738, 311, 1650, 279, 220, 605, 39337, 44364, 304, 1443, 370, 6098, 64, 11, 11598, 2883, 311, 2567, 701, 8330, 8363, 311, 264, 8187, 627, 2028, 3169, 315, 23701, 706, 311, 733, 369, 66583, 36654, 902, 3629, 6062, 690, 7995, 2231, 499, 311, 264, 2763, 315, 5435, 13, 578, 23701, 77431, 709, 927, 1521, 26350, 649, 387, 2216, 78921, 304, 279, 8545, 323, 5107, 311, 37586, 449, 13, 81410, 35557, 315, 1521, 2466, 20181, 315, 12571, 539, 1193, 52944, 499, 389, 279, 6220, 3941, 505, 279, 4459, 23701, 19679, 5435, 323, 1101, 11705, 264, 2035, 311, 3094, 79287, 311, 49655, 279, 5410, 2361, 627, 95294, 11, 6638, 1022, 315, 99576, 527, 82280, 704, 304, 1584, 449, 279, 3392, 315, 12571, 814, 649, 6920, 304, 3878, 315, 5419, 41999, 14006, 11, 719, 44922, 6956, 690, 1304, 279, 28550, 5662, 279, 68215, 1317, 1603, 433, 2643, 387, 6724, 1589, 25831, 13, 578, 5150, 1396, 315, 4785, 430, 649, 387, 2231, 1139, 279, 5593, 14117, 389, 279, 1404, 315, 279, 9736, 6532, 11, 779, 24923, 374, 459, 2231, 3871, 315, 279, 5912, 6638, 1022, 315, 5593, 19160, 15696, 11, 3235, 449, 872, 8592, 4785, 90120, 627, 2520, 701, 49071, 323, 6220, 12659, 11, 1505, 264, 62024, 17065, 7626, 449, 77124, 323, 17274, 430, 527, 53142, 323, 16383, 13, 34663, 430, 279, 38968, 261, 374, 53142, 323, 16383, 13, 578, 38968, 261, 2011, 387, 7373, 2682, 555, 990, 1543, 596, 20448, 11, 5410, 24305, 11, 304, 5369, 311, 3313, 8276, 627, 71903, 11 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2746, 499, 617, 264, 3488, 430, 596, 539, 20669, 1618, 11, 4587, 3729, 1057, 3016, 1862, 24005, 555, 8260, 220, 16, 13, 24344, 13, 19808, 13, 10617, 15, 477, 3708, 459, 2613, 311, 49293, 73737, 36587, 2726, 13, 5751, 24005, 527, 2561, 505, 220, 21, 309, 311, 220, 20, 5298, 19932, 320, 24, 309, 311, 220, 23, 5298, 18241, 4390, 2181, 596, 459, 2930, 26012, 2532, 311, 1520, 499, 5662, 701, 6020, 9021, 13, 1102, 596, 4382, 323, 4228, 311, 1005, 11, 779, 499, 1541, 956, 1205, 311, 8493, 264, 2763, 315, 892, 3339, 11429, 922, 701, 22538, 13, 1556, 21416, 48964, 9248, 499, 449, 264, 7941, 11, 1664, 33885, 388, 1908, 20136, 6319, 2212, 701, 9021, 13, 4718, 22538, 527, 31978, 41223, 11, 323, 422, 3157, 8603, 6541, 701, 9513, 24691, 11, 701, 20136, 374, 9651, 12646, 278, 4979, 779, 433, 2744, 27656, 27210, 449, 701, 2218, 6651, 627, 20397, 279, 4751, 364, 299, 754, 26831, 1805, 518, 584, 2351, 3604, 1972, 1274, 25, 264, 2128, 315, 10534, 20136, 20258, 11, 9879, 24005, 11, 323, 5557, 35416, 13, 1226, 16343, 279, 5652, 5557, 449, 26012, 19248, 311, 1520, 499, 1893, 264, 2731, 6020, 3938, 627, 34126, 1687, 1902, 374, 264, 6696, 836, 315, 94479, 1229, 37171, 46272, 4953, 2637, 902, 374, 264, 13096, 315, 362, 73549, 60841, 627, 32, 73549, 60841, 374, 264, 5426, 11, 18751, 6020, 3600, 2883, 13, 1226, 8854, 279, 12205, 6373, 3966, 315, 21907, 682, 315, 7008, 596, 6807, 29590, 11, 439, 1664, 439, 264, 2134, 315, 9678, 6020, 11351, 11, 3235, 449, 3927, 15167, 627, 8140, 19248, 304, 2930, 26012, 323, 6020, 5557, 4131, 505, 1057, 2930, 75955, 2532, 11, 1229, 37171, 76812, 11, 902, 706, 21356, 1027, 21682, 4315, 7008, 596, 1948, 2930, 46436, 369, 927, 264, 13515, 13, 5751, 19248, 304, 20136, 2955, 4131, 505, 1057, 9341, 6373, 7471, 11, 8014, 40, 77990, 11, 264, 12152, 7808, 304, 68728, 77990, 627, 32, 73549, 374, 13234, 555, 279, 36031, 6807, 11552, 5838, 81, 1147, 11, 356, 2864, 1669, 323, 3959, 73, 569, 1354, 627, 34126, 1687, 1902, 374, 961, 315, 94479, 1229, 37171, 46272, 4953, 2637, 902, 374, 1405, 701, 3300, 374, 5762, 13, 94479, 1229, 37171, 46272, 4953, 13, 374, 264, 12308, 315, 279, 12152, 76812, 19721, 13492, 11, 902, 36236, 15167, 505, 18151, 1288, 872, 75955, 3719, 85943, 688, 627, 2170, 264, 21382, 1687, 1902, 3016, 11, 701, 3300, 374, 304, 1695, 6206, 13, 21382, 1687, 1902, 374, 961, 315, 362, 73549, 60841, 11, 264, 5426, 11, 18751, 6020, 3600, 2883, 449, 11026, 315, 3217, 11, 902, 374, 264, 22542, 8427, 311, 11758, 315, 6807, 29590, 323, 9678, 6020, 14673, 4028, 7008, 627, 32, 73549, 60841, 374, 13234, 555, 279, 36031, 6807, 11552, 5838, 81, 1147, 11, 356, 2864, 1669, 323, 3959, 73, 569, 1354, 627, 34126, 1687, 1902, 9815, 527, 2682, 555, 279, 12152, 76812, 19721, 13492, 13, 578, 356, 3378, 37, 36236, 12032, 323, 8515, 499, 617, 29091, 709, 311, 400, 16, 3610, 304, 1162, 315, 279, 36707, 315, 264, 4562, 7626, 627, 34126, 1687, 1902, 374, 961, 315, 94479, 1229, 37171, 46272, 4953, 2637, 902, 374, 264, 12308, 315, 279, 33350, 24780, 69822, 21021, 315, 7008, 320, 5660, 74745, 570, 763, 7008, 11, 19812, 315, 279, 34919, 5064, 374, 11953, 704, 555, 36031, 34919, 54764, 323, 659, 33263, 38220, 11351, 320, 50, 1308, 82, 705, 902, 5764, 8105, 74745, 13, 8105, 74745, 37577, 3016, 21859, 323, 57315, 13146, 311, 463, 64119, 10765, 24084, 23331, 4819, 520, 12308, 19339, 13, 3277, 499, 1825, 459, 2759, 11, 21382, 1687, 1902, 690, 3493, 499, 449, 264, 3048, 315, 279, 8105, 74745, 2967, 331, 1439, 1054, 4438, 8105, 74745, 34763, 82, 70633, 863, 323, 1054, 2127, 76812, 596, 13002, 311, 25274, 264, 68538, 49216, 32, 3254, 3428, 6373, 11307, 690, 387, 14890, 505, 701, 2759, 51534, 430, 14861, 6721, 20136, 6373, 11, 38189, 323, 12646, 278, 9151, 11, 11380, 12718, 323, 2759, 13122, 439, 1664, 439, 1862, 505, 264, 2128, 315, 21382, 1687, 1902, 24005, 627, 791, 6373, 11307, 374, 16997, 389, 279, 5578, 7446, 907, 315, 701, 20136, 2391, 279, 8502, 520, 264, 55645, 9974, 4478, 3196, 389, 279, 64271, 743, 704, 304, 279, 2007, 3770, 627, 91, 67775, 907, 8651, 81596, 4478, 7511, 91, 5451, 400, 17, 11, 931, 311, 400, 1041, 11, 931, 8651, 15, 13, 1399, 4, 7511, 91, 59907, 400, 16, 3610, 8651, 15, 13, 1758, 4, 7511, 2746, 499, 1051, 11784, 311, 21382, 1687, 1902, 1555, 459, 9341, 37713, 11, 701, 6373, 11307, 1253, 387, 5190, 4245, 311, 5217, 3600, 9076, 555, 701, 22797, 37713, 13, 5321, 8464, 311, 701, 33350, 9878, 369, 3649, 627, 1271, 1520, 30437, 701, 12718, 11, 422, 499, 617, 5361, 21382, 1687, 1902, 9815, 304, 701, 836, 477, 14048, 11, 279, 6373, 11307, 369, 1855, 2759, 690, 387, 16997, 3196, 389, 279, 71922, 907, 315, 682, 279, 9815, 627, 11663, 12718, 1253, 3881, 369, 2759, 8735, 7540, 627, 2170, 449, 682, 54163, 82, 323, 27848, 10736, 11, 279, 22538, 304, 701, 20136, 617, 23711, 9744, 68631, 41677, 3614, 320, 45368, 705, 902, 527, 11684, 555, 279, 3887, 2883, 311, 10299, 1521, 16940, 22538, 13, 578, 73473, 82, 315, 279, 3956, 584, 1005, 304, 1057, 76808, 527, 12309, 3428, 11, 323, 527, 279, 1890, 477, 2753, 1109, 1148, 499, 1053, 2343, 422, 499, 15075, 1124, 389, 701, 1866, 627, 34126, 1687, 1902, 690, 9651, 1912, 3871, 682, 9815, 449, 279, 1890, 20658, 2686, 311, 24069, 279, 907, 315, 279, 12032, 11, 23391, 499, 2343, 279, 15821, 2561, 11307, 627, 23030, 12718, 11684, 1253, 387, 3827, 78912, 369, 2536, 12, 36009, 9815, 13, 320, 5618, 8666, 701, 3827, 6721, 369, 9650, 3230, 311, 499, 29275, 3947, 374, 912, 8187, 3392, 311, 1825, 264, 21382, 1687, 1902, 2759, 13, 9843, 701, 8515, 8335, 25501, 264, 8187, 315, 400, 17, 11, 931, 11, 433, 374, 9651, 29091, 304, 279, 20136, 430, 374, 32599, 311, 701, 3966, 627, 33408, 3300, 311, 701, 2759, 374, 4228, 13, 1472, 649, 1005, 35269, 61288, 24078, 477, 4121, 8323, 505, 701, 6020, 15244, 13, 1472, 649, 1101, 8481, 304, 8515, 505, 2500, 9341, 2759, 13, 1628, 11, 499, 649, 743, 709, 17392, 15438, 19564, 311, 6106, 499, 3665, 323, 2793, 15870, 627, 48541, 3779, 311, 701, 2759, 374, 29091, 304, 701, 20136, 994, 279, 8515, 8335, 25501, 400, 17, 11, 931, 627, 24798, 19224, 1183, 14589, 61288, 320, 43339, 82, 8, 323, 75142, 13492, 3956, 11, 21382, 1687, 1902, 2793, 82, 304, 11758, 315, 5220, 15603, 13, 578, 22538, 304, 1057, 76808, 2997, 264, 6651, 315, 4395, 505, 2678, 12152, 5220, 311, 2466, 16097, 430, 5127, 8964, 13, 5751, 76808, 527, 85957, 4028, 3980, 67245, 11, 19647, 323, 26593, 11, 779, 814, 527, 2744, 1664, 24770, 627, 1079, 43419, 93696, 320, 4403, 8, 374, 264, 8446, 430, 52924, 459, 6492, 315, 264, 2883, 753, 12434, 11, 3674, 323, 35186, 5536, 1139, 279, 9341, 5597, 28846, 1920, 13, 3296, 16785, 8776, 323, 469, 7939, 6492, 11, 20136, 20258, 527, 3025, 311, 3373, 22538, 430, 3493, 22556, 907, 323, 11293, 5326, 13, 2052, 1418, 12899, 5220, 430, 527, 57323, 27210, 449, 872, 15167, 627, 1600, 38, 19813, 311, 459, 7471, 753, 25027, 11, 9983, 323, 36565, 81689, 5178, 13, 2650, 264, 2883, 27772, 304, 1521, 5789, 3629, 706, 264, 2167, 2723, 311, 1268, 433, 27772, 369, 1202, 15167, 13, 3296, 42118, 1148, 12434, 11, 3674, 477, 35186, 15635, 264, 2883, 12580, 11, 3887, 20258, 649, 16988, 449, 5220, 311, 1520, 1124, 5766, 34348, 21294, 11, 477, 814, 649, 5766, 26012, 304, 1124, 31155, 627, 34126, 1687, 1902, 5829, 54163, 82, 311, 2793, 4028, 279, 3157, 11, 4857, 85957, 76808, 430, 2997, 264, 7029, 8205, 315, 11351, 13, 21382, 1687, 1902, 48597, 2793, 82, 449, 20136, 20258, 430, 24564, 1268, 5220, 2804, 389, 469, 7939, 13186, 311, 1893, 17226, 11, 8647, 76808, 627, 34126, 1687, 1902, 8717, 449, 1202, 13219, 2883, 8014, 40, 77990, 11, 311, 1893, 1057, 76808, 13, 1226, 3085, 279, 1890, 4382, 6373, 11307, 6070, 369, 2225, 8776, 323, 48597, 26012, 2671, 11, 4869, 499, 690, 5406, 12062, 304, 279, 16940, 73473, 12718, 13, 46560, 26012, 51242, 3428, 41238, 54163, 82, 11, 902, 3839, 1963, 5178, 323, 1397, 1633, 2697, 6373, 477, 38189, 13, 1115, 13912, 279, 6373, 12718, 323, 10565, 7194, 1633, 3428, 13, 48597, 76808, 1397, 810, 4642, 6373, 11, 2225, 304, 709, 4156, 3495, 323, 304, 14529, 13709, 11, 779, 872, 12718, 8541, 311, 387, 5190, 13, 763, 3060, 1162, 11, 1057, 15664, 449, 8014, 40, 6276, 603, 311, 3085, 76808, 449, 1633, 3428, 73473, 12718, 11, 902, 527, 11383, 1193, 2561, 311, 1579, 4272, 5922, 15167, 627, 17015, 24691, 19813, 311, 279, 3230, 21801, 315, 2204, 4595, 315, 22538, 304, 701, 20136, 11, 1778, 439, 23301, 11, 27460, 323, 8515, 24198, 13, 93696, 2450, 14090, 14117, 389, 9513, 24691, 323, 21797, 2461, 11, 902, 5764, 10168, 264, 6651, 315, 12032, 505, 2204, 19647, 323, 7100, 13918, 13, 9393, 22538, 2949, 1521, 19647, 323, 13918, 656, 539, 3351, 304, 5409, 3094, 11, 35271, 1124, 304, 76808, 649, 1520, 3493, 14675, 311, 36941, 11, 1418, 33994, 53838, 323, 52497, 14675, 627, 1959, 892, 11, 701, 19564, 477, 86304, 11, 3235, 449, 279, 33834, 323, 40291, 315, 279, 3157, 11, 649, 5353, 279, 9513, 24691, 304, 701, 20136, 311, 62490, 505, 1202, 4113, 2218, 13, 1442, 433, 610, 954, 2288, 3117, 11, 433, 1253, 912, 5129, 8881, 701, 9021, 477, 701, 4443, 25065, 369, 5326, 13, 1050, 13616, 9151, 3445, 48582, 12096, 323, 5255, 11486, 58348, 311, 15301, 279, 2218, 9513, 24691, 13, 21382, 1687, 1902, 31978, 8544, 701, 20136, 323, 9651, 12646, 278, 3095, 904, 9513, 6989, 430, 34738, 7953, 872, 32031, 57240, 627, 1687, 15253, 499, 311, 2713, 603, 422, 11, 520, 904, 1486, 11, 701, 6020, 13463, 11, 9341, 26470, 477, 701, 4443, 5326, 25065, 2349, 13, 1226, 3358, 3477, 701, 502, 5643, 323, 11, 422, 8475, 11, 30714, 34074, 13, 9843, 499, 7838, 279, 502, 14050, 11, 584, 3358, 1972, 23207, 701, 20136, 311, 5052, 701, 502, 5643, 627, 7927, 20136, 5178, 374, 6982, 389, 279, 2162, 2199, 28065, 994, 499, 1515, 304, 323, 505, 1070, 499, 649, 6847, 1518, 701, 2759, 5178, 323, 5820, 627, 791, 31373, 499, 1212, 26012, 11, 279, 31373, 499, 649, 5662, 701, 9021, 11, 779, 584, 4070, 1903, 433, 4228, 311, 636, 3940, 13, 1472, 649, 1825, 323, 3887, 701, 21382, 1687, 1902, 2759, 6724, 2930, 11, 323, 3240, 14324, 3432, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 70553, 279, 8706, 13168, 1990, 8681, 13527, 1457, 323, 8681, 13527, 520, 279, 2543, 315, 279, 62520, 9478, 374, 832, 315, 19451, 13, 5751, 3224, 1243, 574, 279, 25462, 1917, 2307, 13477, 449, 459, 32447, 56886, 279, 24867, 13, 4314, 2919, 584, 4070, 1027, 66731, 311, 3719, 21050, 1705, 369, 1057, 46763, 5627, 13, 2030, 1475, 7829, 6957, 3925, 79101, 369, 1202, 20237, 389, 6696, 449, 36956, 627, 29831, 3946, 1051, 3549, 369, 8518, 10096, 13, 1789, 3187, 11, 279, 8013, 6460, 6890, 8351, 574, 9749, 555, 13076, 1705, 323, 41645, 4918, 304, 7295, 311, 33294, 5070, 304, 13936, 13, 2435, 1051, 3984, 449, 264, 35381, 311, 2633, 279, 39543, 814, 9749, 11, 449, 8013, 6411, 1862, 13, 1115, 6725, 8272, 264, 5497, 9749, 555, 1023, 7665, 13736, 1778, 439, 18157, 4696, 4636, 15506, 80051, 574, 11953, 704, 19073, 304, 279, 836, 315, 279, 8993, 13, 4452, 11, 279, 88802, 287, 315, 279, 12032, 315, 9191, 8431, 56276, 574, 520, 279, 4851, 315, 27501, 25, 433, 574, 459, 11646, 26255, 323, 2085, 279, 13654, 315, 59949, 311, 1935, 1203, 2162, 433, 1053, 387, 2653, 311, 3887, 17876, 23933, 1154, 627, 2173, 3388, 11, 44592, 304, 1917, 6696, 58245, 71654, 13, 36565, 5220, 617, 2697, 36210, 311, 1520, 6444, 11, 1193, 311, 1893, 75253, 552, 323, 1304, 810, 3300, 13, 578, 19722, 3691, 25341, 527, 264, 11670, 3187, 315, 1057, 1510, 4325, 11, 6968, 31665, 902, 527, 15453, 31785, 311, 76056, 11, 902, 389, 279, 3663, 315, 433, 5084, 76824, 11, 719, 902, 1253, 1193, 3596, 387, 15075, 505, 1884, 1890, 5220, 11, 311, 1893, 264, 24999, 902, 649, 1193, 304, 279, 1317, 4751, 387, 24629, 311, 279, 2883, 539, 279, 37500, 627, 50083, 2740, 11, 433, 574, 17047, 5694, 430, 18306, 279, 3560, 315, 279, 27767, 13, 578, 12205, 315, 7665, 5961, 3782, 505, 279, 13465, 6696, 11, 369, 3187, 13, 3277, 13465, 574, 1176, 25973, 1139, 13527, 11, 1070, 574, 2294, 13957, 505, 279, 7187, 13, 34484, 574, 264, 50056, 3691, 520, 279, 892, 11, 8405, 26677, 369, 279, 32738, 13, 2030, 89735, 586, 598, 1053, 1005, 13465, 311, 1304, 13179, 10819, 13, 2100, 994, 264, 38838, 11713, 264, 46746, 520, 813, 2254, 6814, 568, 1053, 5019, 264, 6205, 315, 433, 8800, 279, 23162, 13731, 323, 2503, 389, 433, 13, 1442, 433, 16075, 311, 813, 18012, 68399, 8696, 11, 568, 7020, 433, 574, 1903, 1701, 13465, 1389, 779, 279, 586, 276, 1053, 30418, 505, 4920, 279, 3703, 323, 9277, 304, 279, 23301, 439, 264, 10163, 311, 1023, 653, 26121, 455, 13850, 586, 598, 13, 3161, 279, 3109, 11486, 13465, 311, 636, 9257, 389, 459, 57407, 38983, 11, 433, 753, 912, 5895, 430, 5567, 2439, 617, 2744, 1027, 1633, 77086, 1285, 315, 872, 3109, 323, 19287, 4696, 300, 1664, 439, 279, 3691, 5064, 627, 791, 13166, 75253, 552, 1457, 617, 912, 24743, 26, 814, 3780, 709, 5220, 304, 1475, 3224, 311, 3719, 7447, 5392, 367, 1147, 13, 2435, 527, 279, 502, 18217, 336, 19505, 14639, 2100, 374, 433, 1457, 892, 311, 27830, 430, 11639, 994, 8681, 13527, 6197, 279, 1917, 304, 28229, 11, 19297, 323, 15009, 5380, 17673, 13165, 13299, 946, 19333, 964, 16849, 17329, 1932, 793, 198, 1688, 279, 1212, 315, 279, 4208, 11, 13527, 1047, 7543, 279, 3300, 430, 814, 1550, 617, 304, 4725, 14507, 369, 3769, 1234, 279, 3451, 2078, 23139, 9976, 7813, 11687, 529, 13155, 13, 426, 4522, 3268, 1051, 1101, 31207, 369, 7241, 384, 1326, 13, 279, 3451, 14579, 388, 369, 426, 2315, 23314, 14639, 2030, 11, 555, 220, 6393, 16, 11, 13527, 574, 304, 264, 17936, 6020, 1614, 323, 3451, 43, 408, 47268, 521, 529, 574, 11784, 627, 35353, 33776, 315, 11822, 1051, 304, 13527, 477, 304, 25032, 994, 6652, 15187, 323, 51709, 32372, 445, 408, 47268, 521, 389, 220, 1682, 6287, 220, 6393, 20, 13, 578, 8013, 8752, 1047, 1027, 17345, 59547, 7119, 4208, 5788, 320, 20019, 220, 2131, 4, 30830, 8, 323, 1047, 48863, 11293, 1202, 13086, 13, 578, 6560, 9093, 41013, 389, 445, 408, 47268, 521, 15557, 311, 6994, 7718, 11761, 51967, 1778, 439, 3691, 1418, 433, 1436, 912, 5129, 10150, 311, 2343, 369, 1521, 3673, 1701, 7637, 22613, 627, 791, 842, 315, 39580, 12, 1655, 8617, 3782, 439, 264, 2294, 7100, 10988, 13, 13527, 4460, 311, 14389, 1063, 315, 420, 7241, 304, 279, 14247, 1772, 4208, 4261, 13, 1666, 264, 1121, 279, 60259, 24145, 36181, 3782, 922, 13, 445, 408, 12, 1655, 3673, 35363, 1051, 6216, 311, 13527, 520, 279, 14459, 2996, 3430, 315, 922, 220, 605, 31291, 389, 279, 18160, 7231, 459, 2926, 907, 315, 7083, 16, 11, 22679, 3610, 627, 13379, 3297, 98032, 82603, 574, 3288, 555, 279, 3723, 15422, 311, 279, 3723, 4273, 323, 7008, 311, 6994, 810, 10736, 13, 8013, 19287, 3685, 430, 304, 1684, 315, 279, 3723, 15422, 753, 19035, 311, 279, 4208, 5149, 11, 5423, 369, 279, 6439, 5675, 1603, 279, 3723, 4273, 10862, 279, 4465, 304, 220, 6393, 16, 11, 5270, 1053, 3085, 37849, 3878, 13, 12361, 315, 264, 13500, 477, 264, 8352, 11, 4869, 11, 82603, 574, 9076, 264, 11941, 389, 82285, 3878, 627, 50083, 1122, 26349, 4923, 291, 706, 29786, 430, 25, 3451, 791, 549, 815, 13, 3287, 1431, 2873, 311, 13383, 430, 13527, 574, 29320, 529, 323, 430, 279, 11941, 574, 71617, 304, 279, 4783, 315, 57148, 11, 719, 304, 279, 842, 279, 3224, 1047, 912, 5873, 13, 5270, 9076, 400, 2078, 220, 18, 13, 2075, 11328, 320, 2078, 3, 2131, 7239, 304, 220, 679, 18, 8, 323, 7008, 20162, 2500, 2326, 3, 16, 13, 777, 41697, 320, 2078, 3, 868, 7239, 304, 220, 679, 18, 705, 2225, 520, 279, 4478, 315, 220, 17, 4, 9974, 2802, 13, 3161, 279, 2802, 4619, 315, 12798, 279, 4113, 11941, 3392, 279, 3723, 15422, 9670, 709, 12798, 264, 2860, 315, 400, 22, 13, 20, 11328, 54915, 18, 13, 23, 11328, 8, 311, 279, 2326, 323, 2326, 3, 17, 41697, 54915, 16, 11328, 8, 311, 7008, 627, 791, 11941, 574, 1903, 3917, 311, 4787, 11, 279, 1455, 34446, 315, 902, 574, 279, 5625, 3225, 315, 73037, 13, 18056, 539, 279, 14944, 11, 279, 2515, 315, 5625, 3225, 574, 311, 47293, 268, 8013, 1772, 48260, 7100, 5435, 13, 7327, 73037, 39954, 6244, 68713, 832, 1060, 1306, 279, 11941, 574, 97665, 11, 389, 220, 868, 5887, 220, 6393, 22, 13, 25218, 264, 2305, 11, 17089, 449, 73037, 39954, 1047, 15107, 4661, 264, 7239, 11441, 505, 8013, 18160, 30600, 11, 25957, 279, 8013, 3109, 311, 27343, 5625, 3225, 323, 311, 3240, 14247, 60883, 15455, 304, 13018, 323, 25355, 45426, 13, 578, 11295, 4814, 315, 18160, 30600, 1101, 27463, 279, 23948, 315, 73037, 11, 902, 574, 77903, 409, 838, 3340, 304, 220, 6393, 24, 505, 400, 19, 13, 2437, 311, 400, 17, 13, 1490, 627, 10343, 5111, 8105, 5614, 8013, 8396, 304, 1690, 5627, 13, 5629, 11, 8681, 13527, 574, 29320, 291, 555, 279, 4208, 13, 578, 60259, 24145, 36181, 23314, 574, 51578, 555, 3842, 3297, 98032, 82603, 505, 279, 3723, 4273, 323, 7008, 389, 17981, 315, 279, 3723, 15422, 11, 389, 220, 868, 339, 5887, 220, 6393, 21, 13, 320, 2181, 574, 9778, 23183, 389, 220, 1682, 339, 6790, 220, 1049, 21, 4390, 11458, 11, 8994, 279, 60259, 24145, 36181, 323, 23383, 315, 264, 4948, 810, 30508, 38505, 1109, 4410, 10057, 1306, 29144, 17, 1746, 17, 13, 22, 7239, 348, 400, 16, 13, 22, 7239, 705, 1772, 11710, 8013, 17047, 14896, 539, 311, 1304, 13076, 6617, 8082, 1202, 8792, 7057, 13, 12361, 11, 433, 574, 6773, 555, 2225, 18993, 323, 30071, 19287, 311, 1005, 279, 3300, 311, 10519, 8681, 13527, 753, 3560, 439, 264, 1917, 2410, 323, 72759, 13, 2030, 433, 574, 12266, 369, 279, 3224, 311, 471, 311, 1202, 864, 48260, 21080, 2919, 13, 6890, 753, 24589, 574, 8272, 11, 304, 4245, 3388, 11, 555, 1023, 49028, 11, 902, 77903, 6197, 311, 279, 16287, 9886, 315, 279, 38298, 304, 220, 6393, 24, 627, 52961, 6164, 1047, 1101, 19487, 1202, 3318, 7187, 810, 6273, 6514, 439, 264, 11565, 369, 11039, 279, 49533, 13, 578, 9886, 315, 279, 66187, 3314, 574, 10536, 19471, 291, 555, 279, 220, 6393, 17, 39099, 6614, 8423, 13, 31158, 46215, 12656, 39099, 6614, 11349, 311, 279, 3109, 430, 814, 1288, 1505, 5627, 315, 57911, 279, 4330, 46309, 11, 1694, 24133, 11, 31974, 11, 34881, 269, 685, 11, 328, 1788, 269, 323, 5336, 77319, 13, 1283, 18784, 311, 27208, 1521, 5435, 11, 279, 3109, 1288, 3493, 26613, 8070, 311, 1274, 11, 26613, 2890, 2512, 11, 26613, 6873, 11, 26613, 11983, 323, 26613, 14740, 13, 1102, 11223, 430, 3451, 2460, 1274, 315, 3318, 4325, 1288, 2343, 264, 17496, 5165, 22413, 19035, 13, 763, 471, 11, 7720, 1053, 387, 7318, 311, 1274, 889, 1051, 14363, 11, 49989, 11, 22311, 477, 9923, 13111, 14639, 198, 10438, 220, 7285, 24, 11, 1455, 2890, 2512, 1047, 311, 387, 7318, 369, 1555, 2536, 3109, 29533, 1389, 1555, 264, 13057, 4009, 315, 11919, 34775, 11, 6696, 29590, 323, 1023, 8276, 5220, 902, 31094, 279, 13057, 8857, 315, 279, 6560, 3318, 7187, 439, 3697, 13, 4314, 11919, 34775, 3984, 8276, 369, 54950, 11, 26690, 323, 8482, 488, 11, 9093, 8405, 1274, 449, 459, 8070, 994, 814, 1051, 12153, 311, 990, 13, 23548, 279, 8292, 315, 39099, 6614, 753, 19075, 11, 14673, 1629, 555, 2254, 61783, 311, 3493, 2890, 3600, 369, 279, 82707, 8009, 11, 961, 315, 279, 8009, 2383, 14135, 315, 990, 37841, 11, 1051, 27092, 1139, 279, 502, 5426, 1887, 13, 1666, 961, 315, 279, 31343, 11, 279, 9441, 315, 9635, 1101, 8036, 1523, 1202, 37079, 16337, 14488, 323, 5946, 279, 15637, 315, 9214, 315, 8993, 8853, 11, 24461, 323, 1023, 13162, 311, 279, 1614, 627, 791, 1772, 11710, 1667, 369, 19664, 8013, 10495, 1051, 539, 4228, 13, 432, 367, 287, 1047, 1027, 11784, 304, 220, 7285, 24, 520, 31188, 315, 4208, 11, 323, 8738, 1139, 279, 5209, 2269, 2130, 552, 11, 8051, 439, 1790, 66901, 287, 439, 3284, 574, 9670, 555, 16657, 21393, 753, 22760, 367, 304, 220, 6280, 18, 13, 2030, 11, 8994, 66901, 287, 11, 1070, 574, 2294, 54508, 11, 323, 5127, 296, 40458, 304, 13, 578, 2574, 430, 11754, 19664, 1274, 1051, 3674, 13, 3092, 6691, 7633, 279, 12939, 315, 11401, 311, 3995, 3278, 1306, 29144, 17, 11, 8104, 279, 3451, 3648, 9372, 529, 902, 574, 279, 1176, 4526, 315, 279, 4783, 315, 423, 2521, 11, 11887, 389, 220, 717, 339, 7552, 11, 220, 6393, 22, 627, 59552, 4731, 574, 1101, 3062, 311, 19664, 15687, 13, 13538, 279, 4208, 11, 18588, 13792, 1047, 1047, 459, 31160, 380, 5603, 311, 5526, 4731, 13, 36967, 11, 19336, 477, 2466, 7200, 4731, 369, 29066, 574, 87552, 311, 264, 2478, 3389, 3814, 19300, 13, 12220, 279, 4208, 11, 279, 18588, 574, 54117, 311, 10737, 11, 422, 1193, 1606, 8013, 15201, 1051, 14624, 311, 6063, 9063, 17789, 311, 6865, 872, 19214, 15612, 21562, 13, 3778, 480, 2506, 753, 1047, 9087, 5526, 1082, 2577, 78772, 28357, 78772, 323, 279, 622, 3328, 2365, 2391, 279, 5111, 11, 449, 73806, 5762, 304, 8993, 52473, 11, 14458, 52473, 11, 19424, 11, 323, 6690, 11994, 23963, 682, 927, 13527, 13, 4452, 11, 1306, 279, 4208, 11, 279, 2466, 7200, 5222, 3940, 311, 18174, 11, 323, 14425, 263, 388, 6244, 5526, 13, 763, 220, 6280, 15, 82, 8681, 13527, 11, 4923, 3168, 273, 1389, 1701, 2162, 27975, 24198, 1778, 439, 11623, 19826, 323, 15600, 11843, 18450, 1389, 17551, 279, 16665, 369, 13527, 753, 7091, 308, 89713, 627, 791, 1401, 311, 8681, 13527, 753, 1772, 11710, 8335, 315, 14507, 574, 1202, 22981, 16542, 13, 53215, 17882, 574, 4872, 315, 279, 8925, 315, 17657, 1990, 220, 6393, 22, 323, 220, 6280, 16, 13, 1283, 11497, 304, 813, 220, 6280, 22, 2363, 3962, 13299, 277, 23362, 63348, 304, 13527, 512, 14336, 97941, 13086, 9147, 603, 311, 2343, 369, 810, 3691, 323, 7257, 7384, 323, 311, 8448, 6864, 7241, 22917, 311, 4732, 279, 4500, 315, 279, 32042, 552, 323, 1023, 5596, 315, 279, 38298, 13, 3296, 220, 6393, 23, 279, 2694, 2860, 315, 1057, 25355, 24608, 574, 7154, 3403, 311, 2343, 1057, 9815, 22917, 2737, 264, 14691, 8987, 24659, 389, 25355, 6411, 45426, 13, 763, 220, 6393, 24, 584, 3604, 1047, 264, 41548, 389, 1057, 1510, 9815, 449, 279, 2800, 315, 279, 1917, 11, 279, 1176, 892, 304, 37755, 1667, 11, 323, 420, 1306, 279, 4814, 315, 264, 2294, 961, 315, 1057, 25355, 22538, 627, 33, 44039, 11380, 20038 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 76206, 18625, 23424, 17, 5075, 45872, 8198, 21579, 323, 15813, 8446, 5587, 220, 679, 22, 198, 18953, 13, 6570, 2864, 13575, 29039, 51770, 198, 29690, 279, 1888, 5211, 369, 46160, 374, 279, 4033, 350, 16519, 5211, 11, 902, 649, 387, 1766, 1618, 13, 5046, 539, 2968, 374, 264, 15182, 315, 279, 82780, 10401, 1234, 330, 11631, 2262, 1, 304, 9506, 323, 11612, 3645, 320, 72, 1770, 13, 279, 46160, 2038, 705, 439, 1664, 439, 3777, 2038, 320, 72, 1770, 13, 46160, 10401, 4390, 48274, 323, 4676, 198, 2028, 3388, 690, 7945, 304, 18459, 369, 20396, 1139, 16088, 627, 1128, 3781, 10831, 420, 2068, 374, 1060, 220, 717, 22027, 11, 323, 220, 16, 267, 1060, 34458, 323, 30903, 627, 791, 17910, 315, 53243, 527, 14918, 3060, 4236, 889, 527, 13326, 889, 1390, 6873, 994, 814, 1390, 433, 11, 477, 4236, 889, 527, 19624, 889, 1390, 6873, 1405, 814, 1390, 433, 13, 578, 8446, 311, 11322, 420, 11, 374, 311, 29166, 264, 10824, 315, 7855, 11, 2835, 323, 24890, 71109, 10696, 55180, 552, 311, 4639, 13, 11688, 11, 26550, 2826, 323, 48224, 2826, 320, 4178, 45, 8, 10742, 527, 20669, 555, 279, 1005, 315, 41941, 1701, 3254, 4221, 323, 7033, 13, 17381, 323, 4236, 1288, 617, 2680, 311, 264, 9492, 20, 7074, 11, 449, 459, 29966, 17710, 9183, 627, 791, 7580, 315, 29433, 13, 6570, 2864, 13575, 29039, 51770, 374, 311, 65308, 817, 4236, 304, 279, 6975, 1920, 13, 578, 16945, 374, 311, 91784, 349, 264, 743, 315, 6677, 11, 15325, 323, 6721, 320, 51271, 11, 84633, 11, 3575, 22581, 11, 20770, 323, 20790, 11, 9293, 323, 35821, 11, 659, 55885, 11, 6975, 323, 5557, 8, 7512, 311, 279, 64060, 13, 578, 2930, 7138, 3445, 433, 374, 15987, 904, 892, 11, 12660, 11, 323, 1070, 527, 4827, 8662, 50, 15635, 10980, 505, 44387, 6500, 10648, 13, 578, 2853, 315, 3388, 374, 5131, 33705, 520, 13489, 79283, 311, 1023, 2930, 12850, 13, 1226, 1101, 3085, 55855, 311, 7417, 40800, 311, 80947, 4236, 627, 38030, 323, 15813, 28904, 198, 24225, 9889, 374, 927, 264, 4261, 315, 220, 15, 11, 1701, 264, 10824, 315, 54600, 11, 18181, 7855, 11, 323, 4007, 8641, 13, 9393, 315, 279, 2930, 9889, 7138, 315, 420, 46160, 11, 4236, 4250, 9604, 264, 7106, 24978, 11, 323, 439, 1778, 11, 1253, 1397, 1005, 315, 42309, 323, 1023, 13674, 2835, 14645, 13, 1789, 4236, 430, 527, 1234, 220, 972, 11, 439, 264, 1972, 990, 4676, 1253, 387, 36087, 11, 264, 46836, 990, 477, 5064, 4676, 690, 387, 3984, 11, 323, 38217, 3984, 14453, 7162, 927, 7757, 10758, 14645, 627, 791, 2068, 690, 387, 12886, 1555, 264, 4101, 315, 384, 71856, 7384, 323, 56185, 40174, 11, 449, 1376, 1413, 10430, 4860, 311, 387, 91670, 304, 5315, 11, 323, 89323, 369, 4236, 311, 29235, 4686, 6957, 279, 2068, 11, 323, 15325, 9256, 1405, 8581, 13, 578, 384, 71856, 5452, 5825, 264, 46836, 990, 4676, 1405, 3284, 11, 1555, 279, 1005, 315, 1162, 7978, 13, 20783, 527, 1243, 2631, 311, 4686, 35359, 1413, 15813, 9256, 11, 11349, 779, 439, 990, 22165, 11, 311, 20461, 93904, 13, 82935, 1392, 527, 13375, 1555, 279, 384, 71856, 5452, 11, 1555, 990, 3217, 11, 990, 22165, 11, 46836, 990, 22484, 11, 477, 264, 10824, 315, 1521, 11, 11911, 389, 279, 8670, 315, 279, 5575, 627, 791, 2068, 690, 387, 12886, 555, 50802, 8316, 1139, 5370, 28066, 11, 2737, 512, 26072, 220, 16, 25, 2998, 21436, 288, 323, 39097, 15957, 220, 17, 25, 15922, 323, 13128, 39975, 15957, 220, 18, 25, 469, 3178, 661, 6429, 15957, 220, 19, 25, 18654, 81162, 15957, 220, 20, 25, 3331, 1534, 384, 3178, 661, 14546, 2849, 15957, 220, 21, 25, 9984, 1534, 384, 3178, 661, 14546, 7917, 11, 39881, 11360, 220, 22, 25, 452, 651, 788, 323, 842, 78738, 1887, 15957, 220, 23, 25, 16741, 38220, 11, 43745, 780, 11, 323, 22852, 1887, 15957, 220, 24, 25, 54389, 535, 323, 506, 4523, 683, 1887, 15957, 220, 605, 25, 68427, 323, 69397, 1887, 15957, 220, 806, 25, 77934, 5382, 1887, 15957, 220, 717, 25, 28049, 1887, 15957, 220, 1032, 25, 3402, 299, 68243, 1887, 11, 4500, 15957, 220, 975, 25, 84386, 15957, 220, 868, 25, 38321, 198, 791, 4595, 315, 6029, 430, 690, 387, 14890, 7119, 93904, 323, 7431, 59358, 311, 387, 1903, 922, 279, 4236, 529, 93904, 304, 1855, 5089, 11, 374, 11054, 304, 279, 3770, 6303, 13, 82935, 1105, 617, 279, 25152, 11, 4184, 311, 279, 8670, 315, 279, 4967, 6462, 11, 311, 4287, 1023, 7739, 315, 6029, 505, 3927, 4236, 11, 1778, 439, 1555, 432, 2989, 13, 41952, 7512, 527, 32448, 304, 682, 15813, 3673, 627, 2460, 15813, 7526, 2997, 682, 23541, 11, 14975, 323, 13122, 7526, 1397, 311, 27185, 15813, 11, 2737, 279, 2317, 323, 4787, 369, 15813, 11, 9256, 279, 5575, 690, 49643, 11, 10507, 315, 6029, 311, 387, 20802, 505, 279, 9322, 11, 323, 13186, 1511, 311, 8720, 279, 4367, 315, 5178, 627, 1622, 311, 12823, 477, 7526, 311, 387, 1511, 25, 7436, 362, 1389, 87529, 14173, 1389, 87529, 449, 1817, 18035, 323, 659, 15813, 11, 15766, 7199, 14, 2244, 278, 51968, 11, 5664, 22165, 11302, 477, 6029, 20802, 1555, 990, 22165, 7436, 426, 1389, 66736, 14173, 1389, 32323, 611, 5896, 59098, 11, 40555, 822, 315, 990, 7436, 356, 1389, 34991, 14173, 1389, 16225, 287, 11, 34991, 3475, 11, 11799, 19723, 11, 59763, 3575, 22581, 11, 79122, 32801, 5036, 7436, 423, 1389, 29140, 505, 27465, 38419, 198, 38030, 323, 15813, 5687, 198, 791, 4967, 7471, 706, 9749, 323, 24884, 430, 682, 51191, 323, 8720, 1105, 3449, 93904, 8670, 11, 323, 3136, 311, 2274, 872, 4634, 6072, 1555, 6721, 4500, 627, 1305, 1780, 323, 1089, 8473, 198, 12555, 13, 622, 13, 473, 13, 1443, 372, 198, 12555, 13, 622, 13, 473, 13, 1443, 372, 198, 12555, 13, 622, 13, 473, 13, 1443, 372, 198, 12555, 13, 622, 13, 473, 13, 1443, 372, 198, 38030, 323, 15813, 10741, 1920, 198, 38030, 323, 15813, 304, 420, 2068, 617, 1027, 33432, 555, 29173, 449, 5064, 11, 1023, 4967, 11351, 11, 5687, 323, 4236, 34167, 11, 323, 527, 22690, 30171, 11, 439, 1664, 439, 1023, 51191, 11, 8720, 1105, 323, 4236, 11, 323, 6170, 369, 77975, 16048, 10555, 13, 16543, 11351, 617, 1027, 61302, 449, 24886, 311, 11469, 279, 4967, 323, 15813, 8446, 11, 16967, 279, 4967, 323, 15813, 8446, 11, 323, 11469, 323, 16967, 15813, 9256, 13, 25684, 527, 4691, 512, 5733, 24280, 7526, 1288, 3449, 16565, 315, 15813, 512, 5733, 24280, 9256, 527, 8475, 311, 20461, 93904, 520, 279, 4040, 83555, 37, 2237, 198, 5733, 24280, 6276, 30816, 315, 3539, 2968, 7512, 824, 5089, 8670, 198, 4180, 320, 3833, 988, 311, 5178, 13186, 11, 11297, 2134, 315, 5178, 49976, 340, 6882, 2205, 320, 395, 22456, 12387, 3115, 449, 13263, 3135, 340, 76247, 320, 263, 51906, 2683, 11, 17125, 3115, 340, 61895, 320, 47792, 34074, 1903, 311, 14201, 459, 5820, 369, 810, 1109, 832, 15813, 1749, 11, 7937, 17910, 315, 3927, 340, 5733, 24280, 7526, 1288, 6106, 512, 36724, 2038, 374, 69225, 7167, 4495, 323, 304, 14733, 6498, 198, 35891, 13186, 374, 9960, 198, 16648, 13576, 1251, 14, 49582, 5089, 7512, 14441, 52286, 8670, 527, 20669, 198, 43108, 13878, 315, 5089, 15813, 20669, 198, 4383, 287, 17959, 824, 279, 4967, 6462, 198, 11787, 30464, 369, 8403, 449, 3361, 3966, 198, 31996, 8662, 50, 8670, 369, 5089, 14, 71864, 198, 56934, 3685, 11503, 311, 15813, 4860, 198, 12389, 14343, 323, 9539, 11054, 11470, 323, 4787, 369, 8720, 1105, 323, 11426, 198, 1956, 315, 2373, 15151, 1510, 198, 76139, 6072, 527, 9539, 11054, 323, 9435, 304, 15813, 7640, 512, 5733, 24280, 45799, 9256, 2631, 304, 279, 27465, 198, 5733, 65970, 430, 5575, 649, 10299, 1396, 315, 2204, 9256, 389, 279, 2683, 198, 5733, 65970, 7512, 369, 14392, 1148, 311, 656, 994, 2574, 733, 5076, 198, 97296, 1439, 8830, 323, 57383, 315, 17078, 315, 279, 27465, 198, 5733, 65970, 7512, 323, 6677, 374, 9959, 323, 649, 387, 25548, 311, 502, 15082, 323, 38697, 198, 791, 6029, 23738, 7526, 512, 61524, 14343, 6029, 11, 902, 649, 387, 20802, 927, 264, 4261, 315, 892, 198, 50122, 6029, 902, 374, 304, 18859, 449, 279, 5718, 315, 6029, 11, 602, 1770, 13, 2764, 11, 13513, 11, 1510, 323, 14343, 198, 41651, 279, 5089, 8670, 198, 791, 3388, 7384, 527, 14592, 505, 53411, 21579, 13782, 22995, 11, 902, 617, 1027, 8040, 439, 10980, 315, 279, 5165, 650, 1372, 384, 71856, 8446, 11, 304, 32546, 449, 5064, 627, 2173, 264, 2860, 7463, 315, 220, 15, 10741, 7540, 14976, 11, 420, 46160, 706, 1027, 33432, 220, 15, 3115, 13, 1115, 374, 264, 11302, 2077, 4478, 315, 220, 15, 126437, 14428, 11302, 374, 14890, 323, 30239, 11, 311, 7945, 449, 19815, 16048, 11618, 13, 20783, 527, 682, 3984, 449, 10708, 311, 3493, 11302, 6957, 279, 3388, 323, 15813, 3673, 13, 2435, 527, 1101, 2728, 264, 24617, 10795, 520, 279, 9954, 315, 279, 1060, 13, 20783, 527, 4691, 311, 4320, 279, 2768, 4860, 25, 7436, 13440, 279, 31678, 574, 5505, 7436, 1442, 912, 11, 904, 6170, 7436, 3639, 706, 1027, 701, 1401, 1486, 304, 701, 6975, 5380, 2028, 374, 264, 659, 78780, 3388, 13, 578, 3388, 31384, 690, 3729, 499, 20193, 1306, 701, 66466, 479, 311, 1520, 499, 636, 3940, 13, 578, 4553, 8250, 315, 279, 3388, 374, 220, 15, 14998, 39392, 67610, 30, 2998, 999, 520, 11988, 1520, 51169, 922, 432, 2989, 198, 16892, 555, 3060, 6138, 6873, 477, 2930, 13, 1357, 4114, 14307, 527, 539, 2561, 13, 11208, 3856, 75438, 11, 6138, 6873, 374, 64770, 11, 1606, 7855, 30318, 323, 1023, 21416, 8381, 14645, 527, 539, 2561, 27258, 198, 38030, 11, 15813, 11, 323, 1862, 3600, 2038, 198, 3923, 499, 3358, 636, 198, 6806, 8579, 3048, 320, 6414, 77819, 8, 5089, 28292, 7436, 8579, 3048, 320, 6414, 77819, 8, 1376, 1413, 323, 35359, 1413, 15813, 7436, 5575, 5594, 4986, 323, 5575, 12, 24247, 6369, 323, 12111, 1862, 13, 12220, 75954, 11, 4236, 690, 387, 3984, 449, 1862, 4669, 384, 11724, 11, 8232, 11, 323, 21186, 7436, 459, 10292, 315, 16125, 5304, 6992, 9954, 315, 279, 3388, 7436, 51191, 889, 2512, 1633, 1790, 922, 4236, 323, 872, 7978, 11, 889, 527, 10534, 449, 279, 3917, 3158, 11, 323, 12917, 198, 28005, 8728, 8554, 18457, 3, 8652, 8, 320, 2028, 3072, 374, 2631, 369, 4236, 19762, 311, 4007, 555, 6138, 13, 41558, 1101, 14861, 2853, 311, 29433, 13, 6570, 2864, 13575, 29039, 51770, 369, 78141, 323, 10758, 8, 11016, 14058, 320, 1962, 2561, 369, 69573, 4236, 8, 58984, 482, 2998, 999, 520, 279, 11988, 1520, 51169, 320, 1687, 3085, 29865, 5990, 315, 55855, 369, 4236, 889, 649, 12391, 80431, 11, 19624, 11, 477, 1023, 6020, 49836, 13, 1115, 649, 2997, 6401, 10852, 6938, 11, 19903, 6938, 11, 477, 11434, 889, 649, 6062, 20461, 6020, 11, 80431, 11, 19624, 11, 477, 1023, 49836, 13, 20783, 690, 387, 32448, 389, 264, 1162, 555, 1162, 8197, 11, 719, 304, 4689, 11, 4236, 449, 1633, 15748, 6020, 49836, 11, 1778, 439, 63022, 11, 1253, 5371, 264, 2539, 54205, 315, 11307, 26, 4236, 449, 15748, 6020, 49836, 11, 1778, 439, 2683, 1752, 3254, 6691, 11, 1253, 5371, 264, 220, 2075, 4, 14278, 304, 11307, 26, 4236, 449, 6020, 49836, 11, 1778, 439, 2683, 1752, 5575, 11, 1253, 5371, 220, 1135, 4, 14278, 304, 11307, 26, 323, 4236, 889, 527, 69573, 11, 1778, 439, 38349, 11, 1253, 5371, 220, 914, 4, 14278, 304, 11307, 6266, 8650, 2489, 482, 2998, 999, 520, 279, 11988, 1520, 51169, 320, 1687, 690, 23917, 46841, 3430, 389, 459, 20086, 46160, 9076, 555, 264, 22785, 9879, 4967, 7471, 11, 1524, 422, 433, 596, 389, 6412, 11, 323, 9567, 433, 555, 220, 20, 14697, 1115, 64468, 18324, 315, 4972, 6975, 11, 323, 5226, 21913, 13, 9359, 690, 387, 1903, 311, 279, 23917, 7471, 311, 6106, 7634, 527, 2561, 304, 279, 20081, 46160, 13, 8650, 690, 387, 18545, 1524, 422, 3770, 2853, 13, 8650, 2489, 690, 387, 39377, 369, 23455, 889, 10765, 279, 23917, 3430, 1603, 66466, 479, 11, 477, 2949, 63360, 2919, 315, 66466, 479, 29275, 18953, 13, 6570, 2864, 13575, 29039, 51770, 6209, 5217, 3600, 11, 369, 902, 279, 12718, 527, 539, 5343, 304, 279, 66466, 479, 11307, 13, 1115, 5764, 7436, 16314, 84, 685, 315, 14039, 46160, 1296, 309, 324, 11, 54824, 400, 1399, 7436, 59678, 369, 18324, 315, 4972, 6975, 320, 49, 2989, 8, 323, 18324, 315, 1510, 4634, 6072, 320, 49 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 6349, 39576, 9304, 315, 5277, 323, 7127, 198, 791, 42958, 9304, 315, 5277, 323, 7127, 320, 11865, 1846, 8, 374, 264, 879, 7926, 58394, 304, 279, 9302, 19071, 323, 7559, 304, 42958, 11, 19461, 13, 21539, 1846, 5131, 665, 39374, 13489, 220, 4728, 4236, 13, 21539, 1846, 374, 832, 315, 1120, 264, 2478, 3682, 1989, 8853, 311, 3085, 264, 3682, 304, 20303, 1989, 627, 91, 34955, 355, 8651, 94368, 11, 220, 605, 27464, 320, 19, 6520, 8, 7511, 11865, 1846, 574, 18538, 304, 220, 9367, 21, 555, 279, 79811, 315, 279, 42958, 13581, 315, 31253, 17979, 323, 13517, 7086, 279, 42958, 6150, 315, 31253, 17979, 13, 31164, 43614, 320, 9741, 21, 4235, 7285, 20, 705, 459, 27332, 3778, 34133, 30581, 889, 20041, 304, 12366, 449, 37048, 8753, 30581, 323, 27863, 269, 20263, 8288, 978, 263, 480, 14081, 99757, 320, 10828, 19, 4235, 7028, 19, 705, 6244, 279, 2978, 596, 1176, 4872, 13, 11699, 54559, 538, 574, 5762, 304, 264, 49959, 13455, 304, 19441, 42958, 323, 1047, 459, 39148, 315, 220, 1591, 4236, 11, 220, 1627, 315, 8884, 1051, 3278, 627, 644, 6790, 220, 9367, 24, 11, 279, 2978, 1766, 264, 810, 15690, 2162, 389, 279, 1948, 6558, 315, 279, 1120, 2269, 25682, 42958, 3142, 11896, 520, 220, 605, 339, 6825, 323, 473, 2734, 752, 258, 17569, 13, 763, 220, 9378, 18, 11, 10555, 6063, 40260, 30581, 323, 72146, 8563, 30417, 58696, 320, 9741, 15, 4235, 7529, 22, 8, 7882, 505, 1561, 4356, 311, 19461, 311, 3719, 4872, 315, 279, 2978, 13, 6193, 279, 1828, 5899, 1667, 11, 568, 8040, 1790, 315, 279, 30676, 430, 374, 3967, 3432, 439, 279, 1989, 6873, 2115, 13, 3296, 279, 2543, 315, 279, 9478, 11, 279, 2978, 1047, 1403, 54918, 323, 1047, 81099, 264, 7474, 4751, 11, 304, 5369, 311, 3814, 6989, 369, 1274, 304, 279, 4029, 13, 763, 220, 7529, 15, 11, 279, 6150, 315, 31253, 17979, 5614, 1202, 836, 311, 279, 42958, 6150, 315, 5277, 311, 8881, 279, 502, 25679, 389, 9435, 19071, 627, 644, 220, 7529, 20, 11, 279, 2978, 7882, 311, 1202, 3118, 3813, 832, 14929, 10007, 315, 19441, 42958, 11, 323, 743, 709, 1202, 58216, 323, 42795, 2949, 279, 13945, 20968, 42958, 10181, 315, 17979, 13, 578, 220, 605, 64434, 320, 19, 6520, 8, 2816, 369, 279, 1989, 24925, 323, 2978, 574, 34468, 311, 279, 4409, 315, 42958, 304, 220, 7529, 16, 555, 21102, 2254, 72759, 323, 47378, 8283, 50054, 320, 10336, 17, 4235, 7529, 18, 570, 1102, 574, 34833, 25366, 555, 37912, 47930, 11, 279, 2162, 323, 12675, 315, 50054, 596, 6699, 25225, 321, 355, 50054, 320, 10562, 19, 4235, 9378, 22, 705, 279, 1176, 17352, 315, 42958, 11, 323, 5340, 65670, 10435, 12682, 27484, 6518, 50054, 320, 10828, 16, 4235, 9367, 15, 570, 578, 2816, 315, 279, 50054, 596, 4846, 12675, 374, 3432, 5762, 304, 279, 586, 7095, 1234, 279, 29101, 315, 279, 42958, 5657, 323, 57857, 8925, 323, 374, 19073, 3967, 439, 25225, 321, 355, 50054, 5657, 627, 644, 220, 7529, 21, 11, 279, 2978, 7882, 1139, 1202, 1866, 14373, 13077, 304, 279, 502, 40394, 50054, 27872, 17283, 11, 902, 574, 5918, 449, 10736, 3984, 311, 279, 42958, 13581, 315, 31253, 17979, 555, 2999, 13, 85055, 6113, 22464, 50054, 320, 9367, 18, 4235, 6393, 24, 8, 323, 813, 13219, 11, 14693, 301, 50054, 13000, 13031, 34215, 320, 9674, 21, 4235, 5926, 16, 705, 439, 264, 39017, 311, 872, 6691, 11, 40394, 28263, 94469, 6113, 22464, 50054, 320, 9741, 18, 4235, 9367, 18, 705, 279, 7555, 315, 8283, 50054, 13, 48525, 555, 21102, 42958, 11726, 76249, 12897, 3258, 60350, 1468, 320, 9674, 19, 4235, 7285, 24, 705, 264, 4846, 42958, 13581, 315, 31253, 17979, 4872, 11, 279, 50054, 17283, 15109, 2380, 3544, 19354, 42795, 449, 1940, 4010, 2866, 11, 23541, 19672, 11, 35936, 323, 459, 54406, 2411, 627, 644, 220, 4468, 15, 11, 279, 6150, 574, 28379, 279, 42958, 9304, 315, 5277, 323, 7127, 311, 8881, 279, 7353, 6147, 315, 1202, 7060, 19071, 323, 18250, 19071, 2917, 46582, 13, 3296, 420, 892, 11, 449, 39148, 315, 7154, 220, 5067, 4236, 11, 279, 7926, 1047, 704, 62376, 1202, 13077, 11, 323, 304, 220, 4468, 19, 17626, 1139, 264, 4857, 6319, 555, 393, 57821, 7197, 32293, 4235, 7678, 1251, 6617, 380, 11726, 14594, 13028, 350, 853, 320, 7529, 18, 4235, 1049, 20, 8, 439, 961, 315, 279, 502, 330, 7183, 6485, 1, 430, 5343, 279, 15394, 596, 27315, 8351, 323, 264, 3682, 5369, 311, 279, 42958, 10181, 315, 17979, 627, 1966, 5887, 220, 16, 11, 220, 3753, 23, 11, 21539, 1846, 6244, 264, 42241, 9678, 15244, 11, 912, 5129, 27800, 555, 279, 42958, 13581, 315, 31253, 17979, 627, 11865, 1846, 6209, 3892, 8547, 7620, 627, 87831, 315, 31253, 17979, 25, 578, 426, 3711, 2068, 6209, 56333, 304, 21415, 11, 41063, 5277, 11, 38859, 323, 55143, 11, 16807, 3906, 1802, 11, 31253, 17979, 19074, 11, 30339, 7127, 11, 45051, 7127, 11, 39154, 367, 11, 5000, 1628, 83322, 2998, 18347, 11, 41147, 11, 8377, 18343, 6017, 11, 5761, 7127, 11, 323, 83797, 554, 627, 87831, 315, 10170, 25, 578, 426, 3407, 2068, 6209, 264, 3682, 304, 70406, 7978, 13, 20783, 617, 279, 6776, 311, 3449, 449, 1972, 8403, 323, 1935, 389, 1972, 7224, 369, 264, 66251, 4007, 505, 279, 4545, 814, 3094, 4871, 21539, 1846, 596, 14365, 13, 1115, 6276, 4236, 311, 4009, 449, 5064, 15749, 555, 10671, 264, 961, 315, 279, 5064, 5694, 11, 7231, 1124, 539, 1193, 459, 6873, 719, 1101, 1972, 31184, 3217, 13, 3296, 279, 892, 814, 19560, 11, 4236, 2736, 617, 264, 2531, 5352, 389, 38581, 505, 1023, 31252, 323, 23978, 627, 37239, 7623, 11930, 25, 21539, 1846, 6209, 264, 1396, 315, 14691, 7978, 14307, 369, 2911, 11, 27294, 11, 323, 12884, 13, 22919, 14307, 527, 2561, 369, 2225, 70272, 323, 6721, 4500, 627, 18532, 315, 31253, 17979, 25, 578, 386, 3711, 2068, 6209, 49255, 304, 279, 5789, 315, 21415, 11, 41063, 5277, 11, 38859, 11, 16807, 3906, 1802, 11, 30339, 7127, 11, 45051, 7127, 11, 39154, 367, 11, 42966, 7972, 11, 55143, 11, 41147, 11, 8377, 28936, 11, 83797, 554, 13, 1102, 5829, 264, 36528, 6108, 5603, 304, 902, 4236, 3373, 264, 36528, 505, 264, 1160, 315, 21539, 1846, 22291, 323, 6721, 3158, 13820, 11, 990, 832, 10539, 19101, 449, 872, 76707, 25394, 872, 9021, 439, 459, 10255, 11, 323, 2274, 15174, 304, 14356, 1989, 323, 18250, 7978, 68569, 311, 3449, 872, 3966, 627, 18532, 315, 17979, 304, 61593, 7127, 25, 5034, 10880, 304, 220, 1049, 19, 11, 21539, 1846, 596, 7491, 315, 19071, 304, 22556, 2955, 2068, 574, 279, 1176, 55325, 2930, 2068, 11, 539, 14079, 311, 18112, 11, 21760, 389, 41329, 81898, 430, 649, 387, 9435, 311, 904, 5149, 13, 578, 2068, 574, 8040, 323, 374, 15972, 555, 1317, 56703, 41329, 43195, 3318, 304, 2955, 323, 2626, 11, 2737, 3697, 315, 4435, 52813, 11, 91608, 318, 292, 894, 33592, 11, 7327, 13581, 315, 89812, 71502, 11, 323, 279, 3700, 12214, 10745, 33592, 13, 20783, 2586, 505, 682, 19647, 11, 27833, 11, 323, 7076, 18094, 311, 4430, 6848, 323, 26793, 1418, 6975, 1268, 311, 3881, 6067, 7422, 311, 872, 1866, 990, 13, 2876, 7347, 311, 26897, 11, 2626, 323, 3109, 5597, 29414, 1505, 814, 539, 1193, 4048, 1268, 311, 990, 304, 459, 9435, 41329, 4676, 11, 719, 1101, 4048, 2955, 7422, 81898, 2345, 2203, 34552, 1972, 323, 1317, 9860, 19297, 627, 18532, 315, 17979, 304, 45051, 323, 5000, 7127, 25, 21539, 1846, 596, 7491, 315, 19071, 304, 21154, 323, 3566, 2955, 374, 7373, 2930, 13, 48778, 3504, 2955, 16565, 11, 97382, 11, 3495, 11, 2679, 367, 11, 3566, 2955, 11, 15840, 11, 29388, 6373, 11, 323, 810, 627, 11865, 1846, 374, 7559, 520, 220, 5154, 16, 36177, 17569, 11, 1120, 10007, 315, 19441, 42958, 13, 1102, 13551, 459, 63134, 64434, 19071, 15679, 449, 279, 42958, 10181, 315, 5277, 323, 279, 15394, 596, 27315, 8351, 13, 578, 21539, 1846, 15679, 17610, 315, 8223, 14016, 323, 2380, 27464, 315, 2383, 4511, 323, 36536, 627, 12, 21539, 1846, 6209, 5575, 32729, 369, 389, 94419, 5496, 627, 12, 220, 8259, 36281, 198, 12, 220, 605, 92126, 198, 12, 220, 5495, 832, 49607, 9949, 198, 12, 220, 1272, 1403, 49607, 9949, 198, 12, 220, 24, 2380, 49607, 9949, 198, 12, 220, 3391, 3346, 527, 24330, 198, 791, 42958, 11002, 6150, 11, 264, 9178, 11002, 16627, 2068, 24073, 555, 279, 11002, 20214, 315, 11930, 11, 8767, 5762, 1202, 6989, 520, 21539, 1846, 627, 11865, 1846, 27149, 832, 1925, 18537, 3634, 11, 264, 18537, 389, 279, 3613, 5366, 11, 459, 16166, 51067, 13863, 11, 323, 279, 5575, 23831, 19853, 220, 10410, 13, 578, 7926, 18939, 19225, 1989, 323, 2955, 70864, 11, 81293, 11, 10255, 13739, 11, 323, 1023, 4455, 430, 527, 1949, 323, 1825, 311, 279, 586, 627, 12, 10884, 86172, 82, 25, 220, 13655, 198, 12, 5629, 7394, 8547, 99538, 98849, 25, 220, 6860, 198, 12, 44825, 39148, 25, 220, 2096, 198, 2688, 481, 52121, 323, 22291, 198, 12, 31991, 7910, 16762, 351, 14406, 25, 83797, 269, 11, 1194, 26850, 11, 323, 19071, 72146, 1888, 3967, 369, 27863, 4269, 96939, 430, 1101, 8854, 264, 15325, 734, 627, 12, 18063, 426, 1036, 1923, 25, 29459, 1888, 3967, 369, 813, 990, 2391, 279, 83852, 55383, 4261, 627, 12, 51608, 4821, 685, 276, 84, 25, 29459, 1888, 3967, 369, 1077, 36692, 323, 8309, 1147, 627, 12, 7742, 426, 28376, 25, 15940, 1888, 3967, 369, 1077, 384, 621, 90492, 2440, 627, 12, 20199, 71290, 36470, 25, 29459, 1888, 3967, 369, 35821, 279, 356, 343, 5277, 7720, 627, 12, 44312, 66620, 3320, 53440, 25, 97864, 11, 27863, 269, 11, 323, 1194, 26850, 627, 12, 13951, 2259, 84067, 25, 83797, 269, 3967, 369, 1077, 18699, 1005, 315, 3827, 1814, 2465, 14228, 7384, 323, 279, 18488, 315, 279, 17779, 315, 50884, 15545, 1814, 2465, 5277, 627, 12, 84738, 426, 392, 3258, 25, 75839, 889, 28175, 304, 78223, 7397, 315, 19664, 1274, 304, 18254, 6439, 627, 12, 7957, 11799, 62386, 25, 48302, 10255, 323, 29867, 627, 12, 90585, 1611, 25105, 25, 41678, 42606, 889, 9087, 7124, 1063, 3062, 19567, 304, 3778, 1989, 11, 2737, 26361, 2191, 11, 9983, 8976, 2191, 11, 323, 77071, 1598, 627, 12, 44069, 22730, 46423, 25, 48302, 10255, 323, 11326, 1888, 3967, 369, 6968, 279, 8176, 29409, 369, 13789, 358, 424, 11, 13946, 315, 279, 74679, 369, 7252, 1561, 29459, 627, 12, 3842, 35352, 3061, 1036, 18851, 25, 3861, 315, 279, 1176, 43195, 315, 2167, 77791, 320, 19171, 3967, 439, 62827, 2167, 68, 8, 304, 279, 3723, 4273, 627, 12, 468, 10018, 480, 28793, 25, 29459, 11, 3229, 11, 46588, 11, 323, 94465, 1455, 10555, 369, 4477, 323, 94012, 279, 2911, 596, 2363, 74418, 315, 51849, 627, 12, 435, 13, 6706, 65036, 72497, 1525, 25, 60776, 743, 51778, 520, 99491, 42795, 369, 927, 220, 1272, 1667, 198, 12, 8388, 5169, 18288, 25, 40245, 10255, 198, 12, 10455, 10517, 3617, 978, 25, 100160, 1888, 3967, 369, 1077, 3504, 323, 12735, 45543, 315, 279, 14253, 30427, 6603, 304, 872, 549, 815, 13, 47634, 4756, 555, 5124, 337, 5174, 627, 12, 77449, 91031, 25, 18766, 380, 30581, 11, 27863, 269, 11, 323, 74473, 380, 889, 17427, 18324, 369, 813, 1561, 64874, 14756, 14861, 627, 12, 11824, 622, 5673, 729, 25, 41063, 2363, 7061, 323, 10255, 3967, 369, 813, 35306, 8640, 389, 279, 38809, 15671, 578, 51679, 315, 38809, 323, 38809, 320, 12821, 13, 220, 17, 4390, 12, 92368, 362, 13, 86178, 25, 13822, 7645, 380, 30581, 323, 34133, 30581, 627, 12, 393, 13, 10016, 40424, 8458, 25, 45051, 15034, 11, 57613, 15034, 11, 323, 955, 15034, 5423, 10555, 369, 279, 2955, 315, 15371, 11346, 11, 264, 1772, 50889, 955, 1594, 627, 12, 4488, 32498, 1543, 25, 19461, 39844, 323, 40550, 369, 4632, 627, 12, 8732, 355, 34492, 261, 25, 69530, 380, 11, 94465, 323, 25649, 15034, 627, 12, 39611, 84962, 1293, 25, 29459, 449, 264, 46096, 369, 3544, 13230, 19354, 315, 1579, 7872, 627, 12, 11517, 50887, 25, 69530, 380, 11, 94465, 11, 323, 3229, 1888, 3967, 369, 1077, 17496, 20303, 13619, 1054, 53, 32012, 21882, 49216, 12, 10058, 50054, 25, 63641, 30581, 323, 27863, 269, 323, 961, 315, 264, 12960, 315, 8278, 7645, 1705, 627, 12, 29656, 452, 1201, 6362, 25, 7252, 3967, 369, 1077, 2536, 5621, 29844, 1697, 68690, 39480, 5707, 36692, 323, 8278, 1647, 454, 1616, 82, 627, 12, 55034, 75355, 25, 45051, 15034, 11, 30581, 11, 38012, 10255, 11, 323, 72146 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 7009, 1047, 1063, 6555, 6946, 709, 315, 459, 7274, 449, 34538, 60983, 622, 9574, 65816, 4491, 13, 16645, 43684, 971, 544, 13, 5810, 596, 264, 2536, 29137, 17570, 3477, 13, 3161, 856, 4443, 18463, 682, 927, 433, 627, 33, 285, 971, 544, 34945, 304, 813, 2363, 279, 423, 10510, 5828, 956, 264, 7564, 889, 1436, 3412, 279, 2316, 264, 1317, 892, 11, 719, 622, 9574, 3585, 704, 430, 423, 10510, 5762, 433, 264, 330, 65, 3265, 315, 3115, 3343, 43684, 971, 544, 3352, 4501, 47591, 9204, 12617, 83, 2191, 11, 439, 17478, 51104, 10405, 11, 323, 4619, 58273, 31638, 439, 264, 8331, 13, 330, 40, 1436, 1797, 389, 423, 10510, 1359, 4491, 13, 426, 16438, 528, 3233, 11, 7999, 330, 46648, 5900, 264, 1317, 1648, 449, 757, 1210, 1283, 3585, 704, 430, 423, 10510, 1053, 2646, 387, 264, 330, 9712, 12134, 498, 1093, 9305, 11, 19816, 11, 58371, 11, 37749, 473, 11, 477, 1131, 41, 9574, 13, 2360, 14243, 11, 568, 1071, 430, 13, 1628, 17478, 51104, 60219, 45, 17773, 13062, 691, 2198, 11, 439, 422, 311, 4284, 568, 34008, 449, 813, 22165, 304, 430, 5699, 13, 55166, 278, 4545, 11, 27136, 13, 358, 320, 438, 904, 13579, 1732, 8, 1053, 2019, 423, 10510, 574, 264, 1790, 11493, 6917, 1109, 622, 9574, 11, 323, 7995, 7882, 810, 36045, 323, 1047, 2731, 9248, 323, 4018, 2731, 2773, 437, 323, 374, 4762, 2753, 315, 264, 25185, 13, 358, 8101, 11, 304, 279, 38817, 24493, 380, 1023, 14957, 315, 34538, 11, 1694, 279, 56690, 304, 872, 2883, 704, 30972, 1725, 1694, 56690, 12660, 775, 13, 42669, 11, 568, 5602, 423, 10510, 439, 264, 7564, 499, 1436, 733, 311, 304, 279, 2875, 9860, 323, 1005, 439, 264, 9320, 13, 56136, 11, 994, 568, 574, 304, 5150, 488, 11, 832, 315, 37746, 54, 596, 2478, 2162, 62376, 2307, 37738, 627, 1966, 10699, 14, 3923, 44896, 37746, 54, 512, 33, 285, 971, 544, 38239, 430, 1690, 1274, 1781, 568, 11, 304, 2144, 11, 7577, 37746, 54, 13, 1283, 3287, 956, 1390, 311, 656, 279, 2363, 520, 1176, 1606, 568, 3287, 956, 1781, 813, 3446, 574, 330, 543, 430, 7185, 498, 323, 430, 36540, 6603, 2586, 1022, 439, 330, 65, 3328, 1, 323, 16988, 304, 330, 80216, 16983, 287, 1, 323, 568, 3287, 956, 1390, 311, 2586, 1022, 430, 1648, 13, 4452, 11, 994, 568, 48569, 645, 813, 1866, 836, 323, 27685, 4131, 709, 323, 5334, 813, 15553, 5076, 11, 323, 6835, 1461, 459, 16627, 4092, 568, 3250, 956, 617, 11, 568, 64397, 311, 3350, 279, 2363, 1606, 433, 574, 330, 1712, 311, 2867, 279, 3805, 3343, 358, 1053, 3085, 430, 422, 5127, 6267, 264, 2363, 311, 4495, 27685, 42025, 27121, 11, 1070, 4265, 387, 912, 12690, 2163, 555, 279, 842, 279, 2046, 13, 3011, 1694, 1071, 11, 520, 3325, 27685, 374, 8647, 11, 4869, 46345, 11, 369, 2555, 358, 3604, 1390, 311, 1373, 627, 1, 15546, 656, 358, 1781, 7577, 37746, 54, 7673, 43684, 971, 544, 1153, 1220, 25, 330, 40, 1781, 94251, 14, 1489, 32780, 26, 279, 47112, 11, 7577, 37746, 54, 1210, 17478, 51104, 17501, 1461, 422, 568, 2103, 15849, 814, 4265, 387, 304, 2626, 11, 422, 568, 15849, 56232, 1053, 387, 3318, 369, 1461, 3432, 11, 1047, 430, 47112, 539, 8208, 1555, 13, 1283, 1587, 420, 449, 264, 99531, 12, 588, 2230, 16630, 430, 13533, 568, 374, 10371, 2555, 311, 902, 568, 706, 5644, 6773, 279, 14329, 374, 837, 11, 902, 12716, 813, 94800, 38769, 311, 922, 1370, 449, 279, 3682, 14488, 323, 13585, 5513, 13, 43684, 971, 544, 31680, 11, 5115, 289, 894, 398, 11, 430, 568, 3250, 956, 1781, 56232, 1053, 387, 3318, 369, 1461, 15851, 13, 330, 40, 1781, 264, 2763, 315, 2574, 1053, 617, 1047, 311, 3621, 311, 56232, 80928, 1603, 430, 1053, 617, 3596, 7077, 1210, 16645, 64235, 447, 4501, 64664, 430, 568, 15849, 7995, 2574, 430, 4460, 311, 387, 2884, 11, 902, 568, 1053, 617, 2884, 422, 2410, 19117, 956, 1027, 4224, 35344, 704, 315, 813, 6206, 11, 1053, 617, 5614, 37746, 54, 596, 68603, 627, 3923, 1283, 19418, 12522, 28457, 423, 14657, 4501, 512, 57741, 757, 16102, 30, 358, 8434, 956, 617, 17454, 439, 3345, 311, 279, 11005, 439, 358, 1550, 1131, 40, 1781, 430, 574, 279, 3254, 7928, 16930, 430, 358, 1903, 430, 358, 6562, 358, 1436, 617, 2884, 22009, 1210, 8489, 11, 912, 5811, 1618, 627, 1966, 10699, 304, 34538, 15148, 77, 956, 362, 1322, 512, 82255, 832, 1732, 304, 420, 2883, 498, 43684, 971, 544, 75207, 989, 5415, 11, 39223, 757, 92925, 13, 15936, 389, 11, 16645, 13, 33652, 3061, 1334, 99550, 1507, 15334, 4393, 7354, 39, 5358, 304, 264, 480, 15322, 4069, 435, 4735, 0, 33652, 1524, 16584, 439, 1790, 304, 813, 2363, 13, 4800, 11, 11938, 11, 499, 2351, 539, 279, 1193, 1732, 33652, 596, 2884, 430, 311, 11, 719, 430, 3250, 956, 3152, 433, 5828, 956, 653, 66886, 13, 2418, 709, 4999, 1966, 7043, 28653, 1543, 512, 41, 9574, 649, 20781, 97876, 279, 16267, 304, 813, 7899, 439, 568, 34945, 279, 330, 55911, 462, 7918, 1, 2574, 4491, 13, 426, 16438, 706, 311, 2019, 922, 7043, 28653, 1543, 304, 813, 2363, 13, 330, 40, 574, 7995, 459, 28391, 369, 7043, 28653, 1543, 1359, 16645, 2795, 11, 323, 5115, 54466, 358, 2643, 923, 13, 330, 4054, 315, 279, 2574, 7043, 1550, 9193, 1664, 1359, 293, 1336, 13856, 1494, 11, 8474, 0, 7566, 11, 43684, 971, 544, 5718, 0, 330, 16514, 6308, 757, 1131, 438, 6308, 56232, 80928, 1131, 300, 279, 1403, 14289, 2466, 7752, 889, 1051, 4560, 311, 2231, 1461, 1694, 279, 2697, 7564, 704, 315, 2626, 13, 12334, 574, 4726, 505, 279, 8206, 1210, 69149, 11, 358, 1541, 956, 1440, 422, 87181, 374, 4726, 505, 279, 8206, 11, 719, 568, 320, 19182, 1543, 8, 1550, 4762, 39030, 349, 433, 13, 43684, 971, 544, 49378, 622, 9574, 596, 19219, 76, 27456, 3063, 3502, 5605, 430, 16645, 13524, 15849, 11, 3196, 389, 1148, 568, 6267, 11, 430, 279, 21283, 54, 11005, 1051, 330, 67, 3635, 52090, 5233, 43684, 971, 544, 3250, 956, 23556, 719, 2795, 568, 1587, 4510, 814, 1051, 16558, 7043, 596, 330, 57607, 597, 1786, 12, 3864, 3343, 1628, 568, 1071, 430, 1314, 13, 578, 47697, 374, 7480, 9705, 11, 433, 37202, 956, 330, 911, 2070, 3343, 8442, 97223, 323, 7330, 22012, 1650, 433, 330, 911, 2070, 3343, 3011, 596, 856, 17102, 11, 539, 16645, 596, 13, 42669, 11, 16645, 5900, 4726, 323, 2795, 430, 279, 2944, 814, 54244, 279, 597, 1786, 12, 3864, 374, 1606, 330, 20670, 1051, 11005, 430, 5115, 42762, 8434, 956, 617, 17454, 459, 6776, 12660, 775, 1210, 358, 7655, 11, 1578, 13, 8847, 1543, 53312, 2216, 25587, 13, 1628, 779, 1550, 1455, 315, 1124, 13, 49374, 709, 11, 814, 1120, 1550, 13, 763, 51841, 11, 28653, 1543, 374, 330, 606, 315, 279, 1455, 11782, 1274, 358, 3077, 3596, 6575, 2212, 1, 323, 330, 258, 1063, 43666, 568, 596, 2751, 264, 2731, 2733, 369, 420, 2626, 1109, 5606, 358, 3077, 3596, 6575, 449, 498, 719, 7043, 28653, 1543, 11, 2795, 43684, 971, 544, 11, 374, 264, 73724, 323, 568, 3250, 956, 4510, 264, 3492, 430, 4131, 704, 315, 7043, 596, 11013, 13, 816, 6, 33134, 11, 279, 8592, 32241, 56232, 1436, 2343, 28653, 1543, 574, 330, 9326, 424, 3343, 622, 9574, 11621, 430, 7043, 1193, 15812, 330, 9493, 813, 11013, 374, 1825, 10246, 1966, 11641, 21116, 512, 27806, 358, 6688, 21739, 279, 21455, 430, 358, 3287, 956, 1781, 11641, 21116, 1047, 264, 2733, 369, 279, 2626, 21908, 16645, 374, 37883, 555, 622, 9574, 11, 889, 9711, 4339, 304, 813, 11013, 11, 323, 422, 420, 574, 1501, 70841, 11, 323, 17478, 51104, 1047, 813, 1648, 11, 499, 1436, 8454, 364, 5880, 6, 449, 364, 26301, 98044, 6, 323, 364, 33780, 6, 449, 364, 395, 4527, 16645, 11335, 433, 264, 2697, 810, 34616, 1109, 568, 4762, 1550, 304, 279, 2363, 11, 832, 22204, 11, 994, 568, 2795, 430, 11641, 21116, 330, 2201, 3488, 1131, 32345, 264, 2733, 369, 279, 36540, 2626, 304, 4689, 1, 719, 539, 369, 1405, 43684, 971, 544, 6612, 433, 330, 41917, 311, 733, 3343, 37746, 54, 4460, 311, 387, 312, 9910, 323, 9320, 3201, 505, 279, 330, 105270, 6456, 1131, 72867, 18455, 1, 430, 574, 11641, 25611, 85929, 18042, 41356, 13, 2684, 574, 264, 8389, 21063, 323, 330, 906, 4460, 311, 2349, 430, 3343, 11641, 21116, 11, 1606, 315, 813, 3925, 11, 16645, 3463, 11, 1550, 539, 3619, 1268, 311, 1304, 430, 9320, 13, 10926, 11, 7344, 539, 627, 1966, 3658, 36715, 512, 84146, 279, 5039, 520, 16795, 574, 4460, 13, 13538, 1884, 2919, 11, 330, 1687, 4265, 2231, 709, 459, 25946, 11, 584, 3077, 617, 27219, 11, 36498, 11, 33517, 11, 53474, 36540, 9248, 304, 279, 3388, 315, 459, 11714, 11, 3815, 3116, 5672, 5922, 315, 12707, 323, 27219, 79125, 3243, 437, 1053, 1501, 709, 520, 25562, 579, 1210, 1283, 3463, 433, 574, 2731, 311, 656, 279, 1080, 34220, 287, 449, 16795, 11, 1606, 279, 10877, 11, 330, 49864, 814, 1051, 36540, 7359, 477, 539, 11, 520, 3325, 814, 1051, 50505, 11, 323, 520, 3325, 814, 1051, 12798, 6666, 311, 1148, 574, 2133, 389, 304, 279, 10264, 1210, 3053, 956, 18046, 449, 430, 13, 358, 3194, 53035, 11, 14243, 627, 1966, 16768, 28512, 512, 41, 9574, 17501, 3249, 16645, 16075, 449, 16768, 28512, 323, 6688, 1461, 279, 2363, 13, 362, 1695, 3488, 13, 330, 2181, 2643, 387, 1579, 389, 279, 1160, 315, 2574, 358, 37287, 358, 8434, 956, 617, 2884, 11, 5115, 42762, 1210, 12838, 1475, 4892, 3778, 36540, 66642, 2019, 364, 84270, 42762, 6, 3596, 1023, 11914, 11, 477, 374, 433, 757, 30, 43684, 971, 544, 82060, 279, 3351, 5605, 568, 574, 50440, 704, 315, 6848, 11, 902, 374, 6555, 26360, 13, 10425, 8964, 56232, 706, 1027, 2533, 279, 27525, 279, 41841, 14, 13379, 800, 8512, 86824, 1303, 9392, 13, 330, 4599, 16768, 34672, 11, 16768, 374, 832, 315, 279, 1455, 11782, 1274, 358, 3077, 3596, 1027, 449, 1210, 1115, 3250, 956, 3152, 568, 574, 279, 1888, 1069, 35627, 11, 323, 10811, 10425, 11, 574, 568, 3596, 539, 11, 719, 22371, 13, 3011, 596, 3249, 627, 1966, 279, 5377, 8602, 593, 2239, 512, 1548, 3287, 956, 617, 459, 1825, 78110, 2239, 13, 330, 4897, 596, 701, 21063, 1210, 507, 2319, 11, 272, 23758, 11, 719, 358, 13452, 0, 1283, 54466, 3585, 704, 430, 994, 568, 927, 91453, 279, 7677, 315, 20005, 433, 574, 264, 17510, 42117, 3610, 18160, 264, 1060, 5784, 13490, 5899, 3610, 13, 622, 9574, 4131, 1203, 5605, 430, 1606, 814, 1051, 6007, 2262, 433, 330, 97849, 956, 5030, 1148, 814, 24465, 3343, 578, 34538, 2883, 1584, 374, 2216, 11, 2216, 5108, 1555, 3831, 1618, 13, 1115, 374, 279, 1890, 2463, 375, 56232, 574, 993, 11149, 1667, 4227, 994, 568, 574, 421, 5859, 1093, 264, 40530, 23065, 22493, 304, 9527, 430, 34131, 1047, 264, 19189, 27625, 323, 4934, 311, 2231, 1461, 704, 315, 2626, 13, 43684, 971, 544, 374, 25530, 3403, 264, 893, 311, 2115, 1521, 4860, 323, 1501, 279, 32677, 488, 315, 872, 48080, 30985, 13, 1283, 43446, 568, 1047, 311, 2543, 37746, 54, 2212, 1603, 568, 2751, 311, 83842, 279, 53101, 19107, 13, 8766, 36285, 1047, 2586, 304, 449, 264, 35381, 430, 16645, 330, 14724, 2543, 264, 11626, 3343, 1283, 19168, 5678, 1176, 627, 1966, 6193, 14214, 287, 46037, 9438, 512, 39469, 27917, 445, 59520, 2163, 37746, 54, 568, 574, 3339, 304, 13937, 315, 4330, 7895, 16579, 11441, 264, 1060, 11, 568, 3782, 311, 34538, 311, 7417, 813, 6020, 6671, 11, 539, 311, 1935, 2753, 3300, 13, 2100, 433, 596, 539, 1093, 358, 2846, 279, 1193, 1732, 889, 7318, 27917, 445, 59520, 810, 1109, 568, 574, 5922, 1210, 507, 30593, 0, 469, 835, 8871, 11, 84130, 2152, 0, 2418, 11, 3249, 374, 43684, 971, 544, 779, 1790, 810, 1664, 23032, 1713, 323, 4062, 389, 813, 7693, 1109, 80928, 30, 3277, 16645, 7263, 27917, 1203, 11, 568, 7318, 1461, 264, 19983, 315, 1148, 568, 574, 28744, 304, 34538, 11, 323, 264, 19983, 315, 1148, 568, 1047, 8767, 15662, 304, 37746, 54, 13, 358, 1550, 539, 1440, 430, 13, 27917, 2646, 17948, 757, 439, 279, 955, 311, 1935, 264, 6140, 389, 264, 2466, 4623, 927, 18608, 258, 6, 279, 2466, 8515, 13, 16645, 3585, 704, 430, 568, 1511, 27917, 311, 7195, 50616, 299, 11, 323, 2216, 11, 430, 596, 5115, 4495, 13, 578, 10988, 315, 445, 59520 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 63507, 374, 264, 2466, 13438, 369, 682, 315, 603, 11, 719, 433, 374, 1524, 810, 3062, 369, 1884, 449, 36801, 13, 23338, 449, 682, 21522, 315, 6975, 5435, 11, 2737, 8982, 323, 5222, 32174, 11, 439, 1664, 439, 2911, 14892, 449, 10758, 4819, 1205, 810, 1109, 1120, 264, 14595, 917, 304, 2015, 311, 617, 2680, 311, 6975, 627, 2520, 1521, 6980, 11, 439, 1664, 439, 872, 6699, 323, 13639, 11, 1690, 13707, 3782, 449, 8056, 7526, 430, 499, 1436, 5268, 505, 13, 15483, 8522, 1520, 1124, 21953, 3674, 323, 10758, 7512, 11, 4048, 922, 279, 1917, 2212, 1124, 11, 3237, 5694, 30820, 323, 4048, 1268, 311, 10737, 311, 682, 21522, 315, 15082, 627, 18433, 279, 3966, 315, 682, 2911, 6904, 389, 279, 28353, 814, 7831, 505, 11, 584, 6773, 311, 6859, 1057, 3432, 753, 1160, 1139, 2380, 13, 1226, 690, 1176, 5357, 389, 8982, 323, 5222, 50160, 6980, 11, 323, 1243, 3137, 922, 10721, 369, 81391, 6305, 323, 5616, 4358, 922, 279, 2671, 369, 279, 810, 4689, 27404, 315, 6975, 36801, 627, 11800, 449, 39841, 11628, 801, 7462, 954, 198, 57789, 505, 17855, 535, 23508, 11, 279, 5277, 1609, 75791, 3851, 374, 1949, 311, 4232, 505, 279, 13323, 3637, 323, 29076, 1455, 16433, 7766, 430, 1005, 2373, 220, 20, 13, 15, 477, 264, 26627, 832, 13, 1102, 5829, 8381, 26076, 323, 23387, 7640, 311, 1520, 701, 1716, 6725, 10578, 304, 264, 3492, 477, 11914, 627, 2181, 5829, 264, 6617, 2955, 323, 1217, 22658, 3834, 1418, 433, 6209, 9722, 430, 4639, 499, 1268, 311, 12722, 19126, 31044, 279, 1054, 339, 9520, 1054, 88, 9520, 1054, 86, 863, 323, 1054, 71, 863, 10578, 13, 1102, 374, 5423, 10968, 389, 5370, 5222, 58943, 323, 5315, 323, 649, 387, 1511, 304, 7411, 315, 220, 19, 4236, 627, 2028, 917, 649, 387, 1511, 555, 2512, 2427, 1986, 15716, 814, 1390, 311, 8891, 279, 18637, 389, 264, 1716, 13, 1102, 6276, 1124, 311, 6667, 828, 323, 3335, 279, 7899, 315, 279, 10585, 304, 2015, 311, 9616, 433, 449, 279, 1648, 264, 3492, 1288, 5222, 13, 763, 5369, 311, 430, 11, 4395, 649, 387, 6924, 1139, 459, 17057, 3197, 2737, 1855, 5575, 753, 836, 323, 2038, 627, 16179, 1063, 1518, 433, 439, 459, 38281, 917, 11, 279, 32171, 3851, 374, 13524, 264, 6945, 9473, 1887, 13, 1102, 4375, 389, 16433, 323, 8682, 7766, 11, 323, 433, 374, 12514, 311, 2911, 3515, 8982, 5435, 13, 1102, 374, 14268, 14791, 369, 6980, 449, 6419, 28439, 11, 12943, 6978, 11, 2536, 99156, 13616, 4236, 323, 81391, 6305, 627, 2028, 1648, 11, 279, 5507, 15714, 6980, 19570, 872, 3966, 323, 5435, 555, 1701, 5448, 4619, 315, 4339, 13, 1102, 37167, 1124, 311, 29235, 19570, 323, 1893, 23719, 2085, 3515, 311, 1005, 4339, 13, 2435, 1304, 2771, 311, 636, 16365, 555, 5127, 323, 4048, 502, 4339, 555, 1701, 279, 8381, 26076, 13, 2684, 527, 220, 1954, 5448, 2561, 520, 279, 4545, 11, 719, 4236, 649, 923, 872, 1866, 9364, 315, 872, 1866, 311, 1304, 433, 1524, 8831, 311, 19570, 627, 1688, 279, 1890, 892, 11, 3932, 649, 30174, 279, 5448, 304, 1162, 814, 3207, 11537, 449, 264, 2204, 836, 13, 578, 4339, 527, 1101, 2561, 304, 28830, 15823, 430, 2997, 6063, 11, 6498, 11, 15506, 11, 8753, 11, 43288, 11, 44780, 323, 35217, 13, 15281, 810, 922, 279, 8056, 4519, 315, 279, 32171, 917, 505, 279, 13323, 3637, 477, 279, 5195, 7199, 3997, 627, 56725, 449, 85546, 198, 8921, 10880, 555, 3234, 263, 276, 39841, 40143, 11, 39841, 449, 85546, 8779, 2911, 21953, 4221, 7512, 13, 1102, 4375, 439, 264, 8982, 15419, 5507, 323, 374, 4832, 369, 68616, 323, 6699, 889, 990, 449, 8982, 38025, 77267, 6980, 13, 85546, 374, 264, 15526, 11625, 8814, 430, 13912, 1124, 65550, 323, 6276, 1124, 311, 4822, 10968, 389, 279, 917, 627, 3947, 527, 5370, 11028, 315, 279, 5507, 5196, 1389, 832, 374, 10968, 389, 28664, 2987, 11, 2500, 832, 389, 62946, 11, 1070, 374, 2500, 917, 369, 1008, 87678, 11, 832, 369, 90938, 11, 439, 1664, 439, 10721, 369, 62119, 11, 864, 28536, 323, 1690, 3885, 13, 2435, 3207, 682, 2561, 369, 8682, 323, 16433, 18084, 323, 1397, 2373, 220, 17, 13, 18, 13, 18, 304, 279, 1162, 315, 279, 1176, 832, 1418, 220, 18, 13, 15, 374, 3403, 304, 279, 1162, 315, 279, 15629, 627, 63818, 369, 279, 917, 13592, 1990, 400, 17, 13, 1484, 369, 279, 62946, 2373, 323, 400, 1187, 13, 1484, 369, 279, 28664, 2987, 4580, 1847, 13, 4452, 11, 1070, 374, 1101, 264, 1949, 5507, 7086, 32833, 826, 449, 85546, 430, 33992, 701, 2911, 922, 21958, 13, 13596, 2853, 56009, 832, 374, 279, 8982, 15419, 5507, 16530, 369, 6699, 11, 13639, 323, 68616, 1389, 420, 832, 5764, 220, 24, 8056, 7526, 814, 1436, 1005, 627, 11800, 449, 78763, 14, 66511, 45635, 198, 32, 2697, 2204, 505, 1023, 10758, 7526, 584, 14000, 1603, 11, 602, 18461, 374, 11951, 6319, 369, 6980, 16066, 505, 38281, 477, 60745, 281, 60384, 13, 1666, 1202, 836, 13533, 433, 11, 420, 917, 374, 1193, 14791, 369, 7766, 4401, 389, 16433, 1418, 279, 2631, 2373, 374, 220, 19, 13, 18, 477, 3010, 627, 2181, 1193, 4131, 304, 6498, 11, 323, 433, 6276, 369, 2225, 6945, 323, 7899, 10758, 369, 701, 2911, 13, 1472, 649, 923, 701, 1866, 9364, 369, 2731, 3135, 1418, 499, 636, 311, 5268, 1990, 220, 508, 2204, 11306, 449, 279, 2539, 2373, 13, 578, 1949, 3072, 1193, 4131, 449, 220, 24, 11306, 11, 719, 499, 649, 6847, 14234, 311, 279, 11084, 832, 369, 264, 3428, 3430, 627, 70604, 505, 1694, 3025, 311, 923, 9364, 11, 499, 649, 1101, 923, 38140, 315, 701, 1866, 7899, 13, 1115, 1648, 11, 81391, 2911, 527, 21190, 311, 1005, 872, 12365, 7512, 13, 1102, 73633, 10758, 449, 2512, 2427, 1986, 1418, 433, 3727, 2771, 430, 701, 1716, 690, 2103, 1390, 311, 6604, 11, 1524, 422, 433, 2834, 1431, 2744, 387, 14268, 16365, 627, 10031, 13, 19898, 13, 15281, 627, 57789, 505, 31417, 63654, 11, 3580, 81040, 1236, 10326, 3727, 6975, 8831, 369, 81391, 6980, 555, 25935, 279, 13783, 7106, 8381, 7563, 449, 264, 4382, 4791, 25700, 3851, 13, 1102, 574, 21682, 439, 832, 315, 279, 1888, 220, 20, 10721, 369, 2911, 16066, 505, 10758, 5435, 11, 323, 433, 753, 2561, 304, 279, 13323, 917, 3637, 369, 1949, 627, 2181, 374, 2561, 304, 6498, 323, 4131, 449, 220, 17, 11, 1049, 23783, 430, 1051, 8040, 449, 35416, 11, 439, 1664, 439, 220, 19, 11, 3443, 2204, 5448, 311, 1005, 13, 1102, 649, 1520, 13639, 1893, 459, 27862, 5219, 315, 26350, 323, 18872, 430, 814, 649, 4600, 520, 264, 3010, 892, 627, 697, 71194, 16433, 348, 22, 13, 15, 11, 279, 917, 1101, 4375, 389, 77586, 7819, 11, 323, 433, 6835, 3932, 2539, 2680, 311, 279, 4029, 3549, 555, 31417, 63654, 13, 1115, 374, 1405, 499, 649, 6847, 4232, 502, 18872, 323, 4430, 701, 1866, 449, 1023, 3932, 13, 35802, 505, 430, 11, 433, 753, 1633, 4382, 311, 3839, 279, 828, 323, 15740, 315, 1855, 5575, 304, 701, 538, 627, 27414, 28582, 21275, 198, 791, 9983, 28582, 21275, 374, 264, 2363, 430, 4131, 449, 264, 3361, 3241, 10695, 6980, 449, 38281, 311, 1977, 3674, 7512, 13, 4452, 11, 814, 1101, 6051, 3549, 459, 3851, 430, 374, 1193, 2561, 304, 279, 13323, 9307, 369, 279, 4545, 13, 1102, 374, 1101, 19487, 311, 387, 2561, 389, 5195, 7199, 36113, 5246, 627, 34242, 6319, 369, 2225, 73165, 323, 77586, 7819, 11, 420, 5507, 3966, 16433, 348, 20, 13, 16, 13, 16, 304, 2015, 311, 734, 10489, 11, 323, 433, 7194, 400, 17, 13, 1484, 13, 1102, 6209, 21416, 6946, 323, 220, 717, 13761, 704, 315, 902, 220, 17, 527, 369, 61905, 388, 11, 220, 21, 369, 1884, 304, 36256, 2978, 11, 220, 17, 369, 6278, 2978, 477, 1579, 2978, 323, 279, 1023, 220, 17, 527, 14791, 369, 682, 6980, 627, 8538, 315, 279, 1925, 2574, 6980, 690, 4048, 527, 2324, 7512, 1418, 814, 690, 3619, 1268, 27607, 4375, 323, 4048, 311, 3619, 21958, 13, 35802, 505, 430, 11, 9200, 7422, 374, 21190, 323, 18254, 3674, 15082, 527, 1694, 1511, 439, 10507, 13, 763, 5369, 311, 1694, 2294, 369, 81391, 6980, 11, 433, 1101, 29076, 1884, 449, 6419, 28439, 11, 16191, 11, 1666, 716, 1414, 57496, 323, 17747, 33030, 31417, 66176, 627, 11800, 449, 21579, 98549, 198, 34242, 279, 1176, 2363, 311, 3596, 387, 5439, 369, 2911, 449, 6975, 36801, 11, 1901, 13184, 1389, 38916, 311, 6588, 1101, 4131, 449, 459, 3851, 13, 1901, 13184, 374, 264, 2697, 8334, 889, 574, 13524, 9405, 311, 2567, 389, 4401, 682, 279, 892, 13, 21347, 5042, 12153, 311, 3009, 7366, 11, 420, 10585, 374, 2133, 311, 19780, 701, 1716, 389, 264, 7029, 1396, 315, 32078, 627, 2181, 4131, 449, 1450, 1773, 68668, 9364, 323, 2294, 4731, 304, 279, 4092, 11, 323, 1855, 2363, 14564, 264, 502, 49648, 315, 1884, 889, 1051, 29704, 449, 1778, 36801, 13, 11699, 16358, 2955, 15714, 499, 19336, 1901, 13184, 753, 5039, 323, 3351, 1023, 6302, 555, 4382, 18916, 5859, 279, 3113, 315, 701, 3756, 627, 791, 6913, 2373, 315, 279, 917, 7194, 400, 17, 13, 1484, 323, 574, 3549, 369, 16433, 11, 23537, 2373, 220, 20, 13, 15, 477, 264, 26627, 832, 315, 279, 1890, 10565, 1887, 13, 578, 1890, 5507, 1101, 4131, 449, 264, 3544, 1396, 315, 3953, 369, 1054, 15824, 3361, 6980, 9520, 439, 814, 1650, 1124, 13, 4314, 2997, 3953, 430, 4639, 1124, 922, 16024, 430, 636, 701, 1716, 1511, 311, 28900, 7645, 627, 5159, 37310, 16992, 374, 459, 917, 430, 574, 3549, 555, 279, 2748, 315, 264, 1716, 449, 3361, 3966, 13, 58733, 7041, 1148, 311, 1427, 369, 11, 279, 16131, 3782, 449, 264, 4856, 11646, 719, 2294, 5507, 369, 6699, 323, 2512, 2427, 1986, 13, 1102, 374, 2561, 369, 400, 1484, 13, 1484, 304, 279, 13323, 9307, 11, 439, 1664, 439, 389, 5195, 7199, 323, 29076, 1455, 7766, 1701, 1521, 10565, 6067, 627, 34242, 2561, 304, 24113, 11, 44780, 11, 6498, 11, 8753, 11, 37366, 11, 15506, 11, 15155, 11, 33084, 323, 8620, 11, 420, 5507, 6276, 499, 311, 1005, 2835, 11, 439, 1664, 439, 7397, 11, 5222, 323, 1495, 311, 19570, 13, 1102, 33992, 6980, 922, 70570, 11, 5627, 315, 37810, 872, 3966, 11, 439, 1664, 439, 2978, 28198, 627, 644, 5369, 311, 430, 11, 433, 374, 1457, 264, 2763, 8831, 369, 701, 1716, 311, 3237, 5678, 323, 1304, 433, 4228, 369, 5127, 311, 3619, 1461, 13, 6104, 433, 574, 15453, 8040, 369, 264, 1716, 16066, 505, 452, 1435, 28439, 11, 279, 1890, 3851, 649, 387, 1511, 369, 904, 955, 477, 6975, 28353, 627, 2028, 917, 37167, 701, 1716, 311, 3350, 922, 5678, 323, 813, 1866, 16024, 13, 26848, 1109, 1120, 1701, 5448, 477, 4382, 32847, 311, 19570, 11, 420, 1648, 2911, 649, 1101, 21953, 4477, 7512, 13, 15483, 18000, 527, 7718, 369, 264, 11469, 1716, 430, 3966, 311, 656, 1664, 304, 2978, 627, 29132, 1027, 15109, 555, 8325, 304, 279, 1054, 15495, 6975, 863, 5699, 11, 420, 5507, 1193, 7194, 400, 17, 13, 1484, 323, 7612, 8187, 16433, 348, 19, 13, 18, 13, 40991, 449, 459, 15155, 323, 264, 8753, 2373, 11, 602, 8144, 24390, 15714, 701, 1716, 1514, 323, 4048, 520, 279, 1890, 892, 13, 2052, 1070, 3966, 311, 387, 2884, 374, 1520, 4491, 13, 75204, 6667, 439, 1690, 3585, 439, 3284, 555, 43476, 1461, 311, 4128, 279, 6661, 499, 4070, 1027, 4691, 311, 627, 2367, 26372, 3250, 1431, 617, 311, 387, 264, 5107, 3245, 311, 656, 14926, 13, 2876, 1524, 369, 1884, 6980, 16066, 505, 6975, 36801, 13, 11361, 311, 279, 1648, 420, 1847, 374, 34030, 11, 433, 649, 1101, 1520, 701, 52335, 636, 11537, 449, 43529, 13, 15281, 810, 922, 420, 5507, 505, 279, 4033, 2027, 2199, 389, 13323, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 46023, 85034, 8569, 8050, 477, 37303, 597, 10196, 320, 46023, 43379, 96265, 74, 3675, 705, 1101, 3967, 439, 29465, 30528, 304, 83871, 13, 1102, 374, 264, 11495, 73348, 323, 1790, 27578, 2111, 8620, 1561, 9941, 40459, 304, 28796, 323, 21181, 13, 36769, 597, 10196, 323, 29465, 30528, 5042, 3445, 1054, 54310, 13339, 863, 53007, 311, 21706, 8050, 13, 1102, 374, 1554, 70981, 11, 82688, 323, 11427, 414, 88, 13, 9176, 1274, 6646, 37303, 597, 10196, 311, 387, 279, 19214, 2254, 40459, 6957, 279, 1060, 304, 2225, 28796, 323, 21181, 13, 1556, 16781, 1584, 315, 1274, 14614, 7325, 709, 4994, 1690, 5526, 37303, 597, 10196, 36974, 20021, 2391, 8620, 1561, 9941, 47674, 13, 1115, 374, 8994, 279, 65242, 3430, 4877, 2391, 420, 892, 315, 279, 1060, 13, 507, 198, 791, 14595, 11363, 369, 90215, 988, 2997, 12290, 11, 25349, 11, 13465, 11, 779, 7911, 19737, 11, 20228, 13378, 11, 4330, 42786, 17138, 323, 7795, 19737, 13, 1789, 856, 38455, 1949, 37303, 597, 10196, 11363, 11, 358, 1097, 1701, 36167, 1332, 346, 439, 856, 1925, 25795, 13, 3092, 90215, 1037, 14293, 527, 38455, 1949, 3177, 29839, 19737, 11, 38455, 1949, 2004, 11600, 893, 285, 11, 38455, 1949, 297, 22604, 19737, 13, 12623, 12290, 11, 5015, 4251, 25349, 11, 13465, 11, 7795, 19737, 11, 92223, 5707, 11, 11298, 9235, 559, 5515, 323, 4330, 42786, 17138, 13, 763, 5369, 11, 358, 1511, 26828, 439, 2840, 6795, 369, 279, 37303, 597, 10196, 13, 1115, 11363, 374, 1101, 14095, 1949, 11, 34479, 1949, 11, 19151, 1949, 11, 10184, 1949, 323, 38291, 13465, 1949, 627, 13730, 315, 8620, 85034, 8569, 8050, 320, 33, 587, 735, 10196, 340, 791, 6371, 315, 37303, 597, 10196, 30105, 682, 279, 1648, 1203, 311, 14154, 5734, 11, 11951, 279, 18561, 5654, 315, 63370, 1122, 17271, 13, 9393, 315, 46941, 315, 19542, 11, 36167, 477, 13339, 574, 459, 74164, 685, 2391, 430, 892, 13, 578, 4279, 6725, 574, 311, 21813, 279, 13339, 4694, 1193, 369, 3361, 13402, 1093, 8620, 1561, 9941, 13, 36769, 597, 10196, 29414, 690, 16363, 3544, 9863, 315, 36167, 1139, 15792, 9863, 13, 1628, 1243, 3678, 3357, 1124, 304, 13465, 11, 12290, 11, 29839, 19737, 323, 49659, 13, 11359, 291, 555, 3805, 1773, 28609, 323, 28520, 30205, 389, 264, 4106, 1787, 627, 16397, 279, 12172, 315, 96265, 74, 3675, 1274, 505, 279, 63370, 1122, 17271, 311, 279, 80240, 13597, 1354, 1299, 320, 3409, 2663, 28796, 570, 2435, 7263, 449, 1124, 420, 61353, 2826, 323, 30464, 37303, 597, 10196, 311, 7937, 279, 2254, 58172, 3141, 29088, 13, 2435, 4394, 37303, 597, 10196, 36680, 927, 264, 61203, 4027, 304, 28796, 323, 21181, 13, 4740, 3805, 1773, 28609, 11, 37303, 597, 10196, 706, 264, 1554, 564, 1291, 12945, 323, 36263, 10769, 1430, 439, 1664, 627, 4266, 315, 8620, 85034, 8569, 8050, 320, 33, 587, 735, 10196, 340, 3947, 527, 1403, 1925, 4595, 315, 37303, 597, 10196, 304, 2225, 28796, 323, 21181, 11, 32125, 48715, 36167, 323, 94927, 36167, 13, 35139, 388, 1304, 279, 48715, 36167, 8205, 505, 86015, 36167, 9863, 505, 264, 2653, 12143, 315, 13339, 13, 5832, 287, 304, 264, 16025, 323, 11292, 10651, 13, 578, 94927, 36167, 8205, 706, 810, 50127, 323, 374, 810, 28682, 13, 1102, 374, 1176, 1903, 555, 46620, 323, 52139, 6147, 279, 94927, 36167, 1139, 52524, 35354, 323, 3678, 15846, 1603, 1099, 9585, 13, 1226, 649, 6847, 46113, 279, 94927, 36167, 2373, 520, 2162, 627, 43934, 17868, 11, 30282, 4662, 36769, 597, 10196, 9863, 304, 279, 6211, 315, 8776, 9518, 25112, 13, 2030, 6617, 27339, 2997, 1054, 98335, 16652, 863, 320, 9181, 261, 26432, 8, 6211, 11, 4851, 6211, 323, 24623, 6211, 13, 2435, 1304, 279, 24623, 6211, 37303, 597, 10196, 1701, 597, 2868, 8248, 64, 477, 3776, 24623, 477, 91375, 36167, 13, 578, 26839, 315, 8518, 37303, 597, 10196, 6216, 374, 5115, 12314, 13, 4452, 11, 3432, 814, 527, 2212, 220, 17, 3906, 311, 220, 18, 3906, 304, 26839, 11, 779, 430, 279, 13339, 374, 810, 28682, 323, 10479, 292, 1291, 13, 35139, 388, 1903, 8776, 36769, 597, 10196, 449, 36167, 48419, 2531, 4018, 13, 2030, 6617, 27339, 2997, 1701, 15193, 36167, 36517, 11, 16553, 11, 25309, 11, 39406, 439, 264, 1401, 25795, 627, 49552, 28968, 811, 315, 8620, 85034, 8569, 8050, 320, 33, 587, 735, 10196, 340, 11663, 19018, 13339, 1511, 527, 37085, 11, 45405, 11, 67094, 718, 11, 991, 84, 11, 7795, 11, 550, 6513, 11, 80815, 323, 1524, 14425, 83774, 13, 36769, 597, 10196, 36974, 20021, 3085, 6617, 36680, 13, 763, 5369, 11, 30249, 37303, 597, 10196, 1903, 449, 29839, 11, 1592, 375, 71, 323, 48251, 374, 1101, 2561, 13, 7089, 6617, 14293, 1511, 311, 47697, 279, 13339, 527, 37401, 72, 11, 30564, 323, 25349, 11, 296, 6181, 13, 386, 6181, 374, 264, 48351, 323, 1661, 7278, 87319, 1903, 505, 328, 718, 10602, 83804, 3035, 1540, 323, 59717, 25349, 13, 1666, 1664, 439, 62257, 62257, 19737, 320, 32, 48893, 24214, 753, 28929, 82515, 19737, 705, 16526, 56884, 14946, 11, 42609, 23182, 11, 20742, 1122, 11, 48506, 647, 81, 395, 11, 51992, 11, 31735, 11, 323, 17604, 13, 2435, 1524, 1304, 37303, 597, 10196, 449, 342, 1354, 833, 11, 7091, 13465, 26828, 11, 2579, 41580, 320, 1677, 53743, 8, 20228, 13378, 323, 48637, 24149, 12, 6798, 477, 14869, 1557, 68, 12, 6798, 627, 6854, 499, 13085, 279, 37303, 597, 10196, 46141, 3059, 304, 28796, 323, 21181, 27074, 763, 2144, 11, 37303, 597, 10196, 374, 779, 5526, 430, 814, 923, 433, 311, 1690, 1023, 43402, 323, 26863, 13, 1789, 3187, 11, 41951, 20228, 11, 55404, 1354, 11, 18266, 63092, 11, 88870, 11, 61777, 11, 8443, 11, 16385, 293, 11099, 11, 63452, 11, 57758, 11, 31452, 64866, 323, 44196, 282, 1018, 5153, 627, 43066, 562, 315, 85034, 439, 12369, 198, 47, 672, 374, 264, 2579, 13339, 323, 4131, 505, 279, 13018, 24623, 320, 78524, 13018, 355, 570, 578, 1948, 3646, 27073, 13339, 15603, 374, 36167, 13, 3161, 28137, 315, 24623, 33489, 5029, 682, 279, 1648, 1203, 311, 810, 1109, 220, 22, 11, 931, 1667, 4227, 320, 2636, 15, 18531, 570, 7648, 17037, 11, 584, 649, 8343, 36167, 30205, 11, 94927, 323, 34683, 13, 61695, 814, 14614, 1304, 36167, 1332, 346, 505, 36167, 17308, 320, 403, 31056, 8, 323, 7170, 505, 279, 52081, 36167, 78060, 13, 3277, 499, 7782, 864, 79255, 323, 864, 57610, 3359, 36167, 1332, 346, 11, 433, 374, 10213, 220, 5313, 4, 16025, 13339, 323, 220, 868, 4, 8834, 627, 27264, 701, 76194, 311, 5015, 7878, 36167, 369, 499, 779, 430, 499, 649, 14158, 1268, 1790, 8834, 499, 1093, 13, 1628, 499, 690, 636, 2731, 4367, 10651, 315, 94927, 36167, 13, 2435, 1304, 59986, 41327, 94927, 36167, 505, 17308, 36167, 323, 1063, 5066, 78060, 8834, 3779, 13, 1102, 706, 17715, 220, 914, 4, 311, 220, 966, 4, 8834, 7863, 311, 5912, 94927, 36167, 627, 79570, 37842, 26028, 323, 6401, 39195, 315, 85034, 386, 1736, 198, 13246, 682, 13339, 11, 36167, 374, 459, 9250, 2592, 315, 1579, 22867, 13128, 11, 449, 682, 11888, 7718, 42500, 33969, 13, 1666, 13128, 374, 369, 279, 6650, 323, 13709, 315, 701, 2547, 13, 85034, 374, 459, 9193, 9257, 2592, 315, 270, 5038, 483, 320, 55911, 8778, 426, 16, 705, 810, 1109, 25309, 323, 39406, 13, 763, 5369, 11, 36167, 374, 1101, 264, 1633, 1695, 2592, 315, 1063, 7718, 46192, 323, 34072, 13, 4314, 2997, 13080, 40488, 320, 55911, 8778, 426, 18, 705, 281, 13873, 3473, 292, 13935, 320, 55911, 8778, 426, 20, 705, 28170, 426, 717, 11, 33088, 30969, 11, 323, 49601, 13, 24296, 11, 36167, 374, 264, 1695, 2592, 20735, 1073, 75, 35716, 320, 55911, 8778, 426, 17, 705, 523, 22671, 11, 4611, 1907, 5241, 483, 320, 55911, 8778, 426, 21, 705, 37045, 323, 62275, 627, 1966, 279, 4459, 11, 2890, 7720, 315, 36167, 1253, 2997, 512, 12, 11736, 10519, 9498, 16124, 3148, 280, 12, 65184, 16124, 5178, 280, 12, 18042, 1295, 16124, 6650, 280, 12, 9365, 9498, 8792, 23418, 1887, 280, 12, 34507, 279, 2547, 753, 22852, 1887, 280, 12, 38505, 304, 279, 5788, 315, 2579, 6680, 7917, 26, 323, 198, 12, 54349, 304, 279, 5788, 315, 44315, 627, 46023, 85034, 8569, 8050, 320, 33, 587, 735, 10196, 340, 12, 220, 16, 21647, 94927, 36167, 320, 5313, 4, 16025, 13339, 323, 220, 868, 4, 50127, 340, 2520, 279, 64477, 1037, 512, 2520, 279, 8444, 6795, 512, 12, 220, 16, 62611, 40715, 198, 2520, 3678, 16252, 279, 36167, 512, 12, 47912, 279, 36167, 323, 279, 90215, 1037, 14293, 304, 264, 3544, 27890, 19763, 627, 12, 19771, 27461, 3156, 1664, 11093, 323, 279, 36167, 374, 28502, 627, 12, 18230, 449, 78264, 15411, 323, 1095, 279, 36167, 90215, 1037, 369, 220, 19, 4207, 477, 25402, 304, 279, 46044, 627, 2520, 46620, 323, 28915, 279, 36167, 512, 12, 5075, 20559, 24276, 311, 220, 8258, 34, 477, 220, 13679, 37, 627, 12, 24078, 279, 36167, 21655, 311, 264, 12829, 7363, 32393, 449, 28915, 5684, 627, 12, 58421, 398, 9041, 279, 36167, 21655, 449, 264, 63983, 5724, 13, 5112, 3504, 449, 264, 6710, 315, 78264, 15411, 477, 28915, 5684, 389, 1948, 323, 1005, 264, 2678, 20700, 9160, 311, 46443, 279, 13339, 311, 2212, 220, 17, 3906, 627, 12, 53174, 304, 279, 6278, 30759, 315, 279, 24276, 369, 220, 868, 4520, 13, 5112, 15884, 2543, 927, 323, 23360, 369, 2500, 220, 868, 4520, 13, 6914, 279, 13339, 7155, 1523, 627, 12, 12362, 264, 9979, 1156, 71450, 477, 23317, 62705, 11, 4018, 279, 13339, 1139, 701, 15236, 1404, 13, 358, 4018, 1139, 220, 19, 17560, 865, 220, 18, 17560, 9863, 627, 2520, 2840, 6795, 323, 28915, 279, 36167, 512, 12, 5075, 20559, 24276, 311, 220, 1049, 34, 477, 220, 3443, 37, 627, 12, 19771, 279, 26828, 323, 3090, 3871, 369, 2840, 6795, 627, 12, 11004, 279, 4018, 36167, 9863, 8800, 264, 50999, 32393, 12829, 7363, 13, 8444, 10033, 1855, 36167, 9863, 449, 279, 26828, 21655, 1701, 264, 9979, 15998, 627, 12, 53174, 304, 279, 8582, 30759, 315, 279, 24276, 369, 220, 20, 4520, 13, 36925, 2512, 539, 311, 8395, 279, 13339, 627, 12, 5112, 2543, 279, 36167, 927, 323, 2840, 10033, 449, 279, 26828, 21655, 1578, 13, 53174, 369, 2500, 220, 20, 4520, 627, 12, 9307, 304, 459, 264, 2154, 492, 5593, 304, 279, 46044, 369, 709, 311, 264, 2046, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 37440, 19703, 11887, 279, 57934, 3997, 311, 35883, 502, 3956, 323, 7224, 627, 37440, 19703, 11887, 264, 12514, 3997, 8604, 1444, 301, 884, 295, 677, 343, 695, 916, 11, 311, 3118, 279, 17357, 315, 9983, 33527, 11, 279, 5452, 311, 24564, 31120, 323, 872, 28198, 627, 791, 2883, 3940, 279, 4500, 315, 279, 1567, 6108, 8661, 5452, 6460, 19703, 8267, 18729, 627, 37440, 19703, 5900, 389, 11469, 9983, 33527, 5452, 11, 7999, 502, 79136, 5137, 323, 18899, 328, 2327, 33527, 627, 2520, 279, 5793, 2893, 4939, 73537, 11, 6460, 19703, 706, 8040, 264, 20413, 1887, 369, 5226, 8122, 17144, 13, 32255, 449, 2893, 4939, 67799, 1609, 9121, 11, 6460, 19703, 706, 11887, 279, 46935, 50596, 8375, 316, 323, 279, 5452, 311, 12896, 31009, 26396, 6460, 19703, 97331, 627, 37440, 19703, 706, 8308, 1202, 1176, 11040, 2447, 482, 264, 6505, 917, 369, 279, 15481, 8957, 22535, 372, 727, 10756, 18288, 8325, 627, 37440, 19703, 753, 8420, 3952, 279, 2132, 22643, 304, 328, 7476, 36082, 24893, 1567, 902, 3952, 2035, 304, 50088, 977, 258, 10481, 627, 51, 51172, 14800, 25, 6460, 19703, 706, 10487, 33215, 323, 13195, 31009, 5955, 369, 279, 34896, 64949, 68655, 5793, 62138, 47396, 26545, 3623, 2637, 12604, 320, 22809, 37670, 4390, 37440, 19703, 706, 11887, 279, 20776, 16675, 263, 96372, 31009, 2532, 369, 279, 31120, 315, 2893, 4939, 26608, 70, 63141, 627, 37440, 19703, 15160, 279, 14435, 315, 2893, 4939, 73537, 311, 8312, 7290, 82631, 323, 39608, 35, 30792, 14, 3812, 315, 7290, 16980, 15771, 627, 37440, 19703, 15160, 279, 28682, 5762, 555, 279, 90959, 5793, 549, 5997, 311, 8312, 279, 74847, 31009, 5452, 902, 690, 2187, 279, 5793, 311, 10739, 279, 13716, 47423, 2532, 627, 37440, 19703, 753, 1176, 23641, 2447, 5097, 1022, 1389, 279, 549, 3545, 8715, 315, 95794, 323, 11050, 706, 11887, 264, 502, 2532, 11, 49927, 39608, 35, 449, 279, 2082, 315, 2680, 311, 872, 2930, 6201, 627, 37440, 19703, 18911, 279, 502, 2027, 20136, 2737, 4848, 2027, 5238, 25, 18729, 11868, 11, 4961, 55876, 11, 13313, 6328, 11, 16147, 21460, 11, 1883, 29935, 323, 84333, 16675, 1242, 97842, 13652, 2474, 627, 37440, 19703, 8068, 27772, 1664, 304, 279, 8871, 33063, 220, 679, 20, 11, 11230, 279, 2132, 2035, 627, 37440, 19703, 38175, 264, 502, 2930, 34631, 1887, 369, 279, 21187, 5794, 5793, 24929, 64655, 627, 37440, 19703, 3727, 1202, 17755, 520, 279, 8871, 33063, 220, 679, 19, 627, 37440, 19703, 15160, 279, 28682, 5762, 555, 735, 5997, 311, 8312, 1202, 63410, 18729, 17916, 627, 37440, 19703, 3940, 279, 4500, 315, 502, 3956, 482, 50596, 6460, 19703, 19294, 4949, 11, 16924, 2532, 13528, 69605, 323, 13716, 30226, 1366, 606, 627, 37440, 19703, 8638, 4642, 8661, 315, 1202, 49927, 2532, 39608, 35, 9483, 1136, 627, 37440, 19703, 8638, 279, 4500, 315, 1202, 502, 34631, 1887, 627, 37440, 19703, 19786, 1202, 1176, 6505, 10721, 1389, 13716, 9359, 369, 3729, 6352, 6373, 11, 323, 13716, 22103, 13788, 439, 264, 4443, 6505, 5274, 627, 37440, 19703, 12195, 279, 5226, 311, 3242, 1133, 39608, 35, 27640, 369, 279, 5793, 386, 10155, 19278, 627, 37440, 19703, 48782, 279, 1176, 4984, 315, 9983, 33527, 5452, 11, 902, 374, 279, 2883, 753, 1176, 6295, 2956, 2027, 304, 279, 20136, 627, 37440, 19703, 22890, 389, 1202, 5133, 449, 279, 21187, 5794, 5426, 5793, 24929, 64655, 11, 323, 5280, 502, 6505, 650, 1950, 15771, 323, 3600, 369, 279, 5793, 627, 37440, 19703, 9221, 8427, 369, 279, 53694, 5660, 17229, 1147, 5377, 304, 10034, 15840, 11, 279, 5569, 323, 27649, 315, 902, 1304, 279, 1567, 264, 2539, 89955, 315, 279, 4435, 753, 5377, 902, 374, 311, 387, 5762, 304, 50088, 977, 258, 10481, 304, 220, 679, 19, 627, 37440, 19703, 18911, 264, 502, 31009, 5955, 4984, 449, 1202, 6460, 19703, 31009, 5955, 220, 20, 13, 15, 198, 37440, 19703, 45695, 279, 4500, 315, 1202, 6460, 19703, 39608, 35, 27640, 220, 18, 13, 15, 627, 37440, 19703, 38175, 264, 24007, 311, 7068, 6848, 369, 279, 46835, 315, 502, 3217, 323, 9886, 315, 315, 459, 18699, 4676, 304, 279, 2883, 627, 37440, 19703, 8638, 279, 4500, 315, 279, 502, 2027, 6460, 19703, 90898, 627, 37440, 19703, 38175, 6460, 19703, 2467, 6531, 5452, 311, 7431, 6505, 13172, 627, 37440, 19703, 48782, 279, 8308, 14028, 315, 459, 17244, 49, 1887, 369, 279, 36074, 22506, 6522, 11325, 4940, 5793, 8927, 48904, 627, 37440, 19703, 7376, 279, 9954, 315, 279, 2883, 753, 312, 13781, 287, 13, 578, 57934, 6883, 706, 1027, 10666, 520, 46069, 6625, 1217, 10017, 31922, 6460, 19703, 11, 304, 17442, 627, 37440, 19703, 5097, 961, 304, 1054, 34, 14710, 220, 1049, 15, 12, 679, 15, 25, 362, 12040, 389, 279, 3799, 1037, 9520, 264, 3772, 2447, 38178, 311, 63179, 279, 4500, 315, 279, 8690, 60505, 82, 3157, 11, 323, 65585, 279, 1934, 315, 1202, 69376, 323, 33997, 389, 279, 12514, 24007, 3549, 555, 356, 14710, 627, 37440, 19703, 22890, 389, 1202, 5133, 449, 279, 21187, 5794, 5426, 5793, 24929, 64655, 13, 763, 220, 679, 15, 11, 279, 5220, 8667, 264, 5226, 311, 9407, 33215, 8824, 315, 279, 34631, 1887, 10487, 520, 279, 5793, 753, 4009, 627, 37440, 19703, 706, 10666, 1202, 502, 2027, 20136, 2737, 3116, 2027, 5238, 25, 84333, 16675, 1242, 11, 74270, 11, 5273, 12, 19897, 8471, 323, 9359, 9577, 627, 37440, 19703, 5990, 709, 304, 6130, 4398, 449, 279, 14028, 315, 1202, 34631, 1887, 369, 279, 5793, 15064, 4026, 13, 763, 279, 1566, 2380, 1667, 11, 279, 2883, 706, 10487, 1202, 6067, 304, 220, 845, 15481, 23962, 315, 279, 60505, 82, 5793, 627, 37440, 19703, 21879, 264, 502, 8907, 16125, 369, 1202, 6460, 19703, 73550, 744, 627, 37440, 19703, 75651, 311, 2274, 17320, 449, 1202, 6444, 323, 38175, 279, 13166, 14756, 6460, 19703, 5421, 627, 37440, 19703, 706, 8040, 264, 502, 2027, 369, 60505, 82, 20197, 482, 6460, 19703, 12093, 6605, 2956, 1398, 73931, 11, 421, 292, 374, 49798, 449, 279, 502, 8670, 315, 36370, 4940, 369, 279, 40395, 2434, 1170, 10537, 1862, 627, 37440, 19703, 15160, 5210, 753, 14130, 369, 356, 7244, 8717, 304, 279, 9983, 33350, 369, 1202, 2068, 311, 1862, 8871, 4236, 323, 3995, 35416, 304, 3241, 15009, 902, 279, 2883, 3940, 304, 220, 1049, 19, 13, 6460, 19703, 706, 30638, 220, 23, 59284, 927, 1521, 1667, 627, 37440, 19703, 5280, 1202, 34631, 1887, 304, 279, 21187, 5794, 11325, 4940, 5793, 15432, 10155, 627, 37440, 19703, 39671, 14031, 4505, 24686, 5452, 311, 7431, 34284, 4628, 315, 31009, 63110, 1242, 35, 19169, 449, 9434, 6067, 627, 37440, 19703, 21879, 5165, 7839, 14724, 17768, 97227, 691, 304, 279, 29804, 1054, 33801, 323, 6625, 20862, 315, 18699, 3241, 10105, 113068, 37440, 19703, 38175, 264, 502, 3544, 13230, 2447, 311, 4685, 279, 34631, 1887, 304, 279, 220, 18, 38, 4009, 315, 279, 5793, 15064, 4026, 13, 578, 6425, 690, 387, 10487, 439, 961, 315, 279, 5793, 753, 2068, 311, 74421, 1202, 15481, 72202, 323, 1893, 14113, 2532, 10886, 627, 37440, 19703, 9221, 264, 23759, 8427, 315, 60350, 28163, 77682, 569, 627, 37440, 19703, 49193, 220, 605, 1667, 304, 2626, 323, 5900, 389, 627, 37440, 19703, 9221, 7573, 36542, 32413, 315, 5210, 627, 37440, 19703, 3871, 449, 279, 5793, 39616, 278, 10118, 68655, 38175, 279, 20207, 5452, 2006, 12, 17745, 323, 650, 1950, 3196, 389, 433, 627, 791, 2447, 315, 6460, 19703, 73550, 744, 8292, 304, 220, 18, 38, 12, 2864, 10155, 4009, 315, 279, 67799, 1609, 5793, 426, 13052, 263, 57453, 3727, 433, 311, 279, 1620, 4883, 315, 279, 6625, 4435, 73550, 23488, 520, 279, 73550, 612, 8245, 9744, 15264, 12111, 220, 1049, 21, 304, 7295, 627, 37440, 19703, 10187, 279, 4948, 2035, 4315, 279, 20972, 315, 51707, 25579, 304, 75880, 323, 8524, 627, 37440, 19703, 9221, 832, 315, 8524, 753, 1176, 13707, 311, 4305, 264, 6485, 315, 34631, 323, 2532, 10105, 304, 264, 220, 18, 38, 4009, 13, 6460, 19703, 753, 3956, 617, 1027, 10487, 304, 279, 4009, 315, 279, 6522, 67799, 1609, 5793, 426, 13052, 263, 13716, 627, 37440, 19703, 22890, 389, 15664, 449, 279, 80708, 50, 1912, 323, 6617, 4861, 279, 2736, 10487, 31009, 323, 39608, 35, 19169, 369, 279, 11119, 6885, 5654, 20197, 5343, 304, 279, 1912, 627, 37440, 19703, 374, 5343, 304, 8524, 753, 7054, 220, 1041, 8871, 5220, 5918, 555, 33257, 29556, 9266, 11, 323, 374, 10212, 2132, 304, 279, 10959, 315, 279, 17229, 1147, 6522, 3241, 29629, 13, 6460, 19703, 19786, 9059, 9744, 744, 11, 264, 892, 57767, 2027, 520, 430, 892, 627, 37440, 19703, 8638, 279, 2068, 311, 1862, 8690, 8198, 323, 6873, 13, 578, 2883, 15870, 39701, 323, 10187, 5425, 20486, 3050, 5575, 25944, 11871, 323, 43682, 304, 15840, 11, 323, 2942, 4861, 264, 3388, 315, 46232, 1373, 555, 279, 2883, 753, 35416, 627, 37440, 19703, 16264, 304, 50088, 977, 258, 10481, 279, 1176, 31922, 6460, 19703, 1217, 10017, 369, 20197, 13, 5659, 430, 1060, 389, 11, 279, 1567, 9221, 9974, 13, 6460, 19703, 45695, 264, 3544, 13230, 2447, 311, 4305, 264, 6485, 315, 10105, 304, 279, 4009, 315, 264, 502, 23727, 99962, 5793, 11, 16762, 38342, 627, 37440, 19703, 9221, 279, 1176, 8690, 21390, 311, 7195, 459, 386, 4931, 5955, 304, 67799, 1609, 9121, 13, 578, 502, 2027, 15160, 304, 279, 29804, 7252, 1561, 5761, 220, 1049, 19, 520, 279, 1054, 83107, 13, 8871, 71964, 12111, 113068, 37440, 19703, 374, 7086, 279, 7808, 4315, 279, 17229, 1147, 323, 68600, 689, 3241, 13707, 304, 279, 5699, 11050, 315, 3998, 462, 16238, 4476, 323, 5000, 6108, 32625, 555, 279, 33257, 29556, 9266, 902, 706, 13375, 3495, 1139, 279, 18845, 323, 27949, 315, 279, 8871, 3157, 4500, 627, 37440, 19703, 9221, 4802, 48661, 315, 279, 2052, 85135, 5575, 33063, 1054, 59122, 287, 45004, 11, 22872, 288, 11, 15264, 323, 39810, 863, 449, 220, 868, 10, 27260, 7411, 627, 37440, 19703, 73550, 744, 706, 1027, 7086, 5761, 315, 279, 9941, 304, 279, 1054, 42172, 660, 73550, 15264, 863, 29804, 520, 279, 17244, 7327, 17997, 1054, 83107, 13, 8871, 71964, 220, 1049, 18, 113068, 37440, 19703, 12195, 279, 1176, 7637, 5226, 369, 279, 8312, 315, 279, 2539, 13230, 6485, 315, 3241, 10105, 369, 279, 67799, 1609, 68655, 5793, 426, 13052, 263, 13716, 627, 37440, 19703, 8638, 4642, 27501, 315, 279, 75880, 11987, 627, 37440, 19703, 40019, 279, 7447, 54920, 2539, 31608, 5452, 6460, 19703, 73550, 612, 12557, 10852, 323, 71420, 433, 304, 1690, 8690, 60505, 82, 14488, 627, 37440, 19703, 12195, 264, 12914, 15664, 9306, 449, 2006, 48904, 11, 279, 1917, 753, 6522, 8162, 79666, 21390, 627, 37440, 19703, 39671, 459, 31009, 5955, 369, 12640, 5119, 14488, 627, 37440, 19703, 22890, 389, 1202, 15664, 449, 80708, 50, 1912, 323, 12195, 17517, 369, 279, 8292, 315, 502, 33215, 3600, 627, 37440, 19703, 706, 1027, 7376, 13946, 304, 279, 28682, 311, 8312, 264, 43790, 34631, 1887, 369, 80708, 50, 5856, 627, 37440, 19703, 52956, 279, 54242, 315, 45218, 13, 29210, 15772, 884, 7327, 323, 39867, 12130, 258, 13716, 482, 1403, 20197, 505, 279, 8690, 13759, 6460, 1389, 3719, 1202, 6444, 13, 4740, 264, 83776, 1887, 706, 1027, 10487, 304, 39867, 12130, 258, 71964, 13716, 14488, 11, 279, 2883, 374, 3025, 311, 3810, 279, 3157, 449, 264, 502, 48998, 6883, 369, 264, 1912, 315, 83776, 4478, 6787, 13, 1115, 3135, 304, 459, 34150, 6650, 315, 279, 33215, 2385, 25, 433, 28815, 810, 1109, 11157, 304, 279, 1176, 220, 22, 4038, 1306, 279, 1176, 31120, 617, 1027, 22756, 627, 37440, 19703, 39671, 502, 33215, 2512, 6067, 627, 37440, 19703, 11705, 323, 2847, 9803, 279, 1176, 2373, 315, 6460, 19703, 73550, 744, 627, 37440, 19703, 2219, 34398, 264, 7899, 8232, 1887, 369, 279, 5793, 27930, 5859, 13584, 13716, 39810, 627, 37440, 19703, 39671, 323, 7177, 12557, 10852, 3070, 3956, 627, 791, 7342, 315, 6460, 19703, 13, 578, 3925, 12302, 304, 220, 2550, 22, 994, 832, 315, 279, 17229, 1147, 529, 1176, 6505, 20197, 1389, 549, 3545, 7164, 884, 1389, 10373, 264, 7899, 8232, 1887, 505, 872, 48888, 4885, 13, 578, 13985, 753, 4236, 21054, 279, 2015, 11, 323, 505, 1243, 389, 279, 2128, 315, 1093, 34423, 1274, 617, 1193, 832, 3245, 389, 872, 20663, 1389, 311, 1977, 264, 1579, 42357, 2626, 10968, 389, 60505, 82, 20197, 13, 2435, 2793, 682, 279, 3300, 814, 617, 15662, 1139, 279, 9886, 315, 6460, 19703, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 50444, 30129, 25, 4800, 264, 30064, 17916, 5380, 50444, 374, 264, 6685, 323, 2835, 55856, 3674, 3772, 5452, 430, 574, 3940, 304, 220, 679, 15, 555, 16768, 328, 599, 442, 13, 763, 220, 679, 17, 11, 433, 574, 19426, 555, 5690, 369, 400, 16, 7239, 13, 8876, 1243, 11, 433, 706, 15042, 33452, 11, 1457, 84744, 922, 220, 1041, 3610, 3932, 13, 763, 420, 45710, 11, 584, 690, 5357, 389, 279, 30129, 4668, 430, 574, 6004, 304, 220, 679, 21, 439, 264, 3048, 4719, 315, 56279, 753, 3446, 4668, 13, 578, 12432, 16768, 328, 599, 442, 11, 304, 2144, 11, 29786, 389, 420, 11, 5605, 430, 198, 46690, 23528, 682, 279, 6807, 1981, 1115, 4536, 1431, 922, 889, 36592, 2555, 13, 1115, 374, 922, 264, 3645, 11, 323, 1268, 499, 1935, 433, 311, 264, 4009, 323, 2231, 701, 1866, 12903, 389, 433, 2029, 48781, 328, 599, 442, 198, 7894, 3210, 11, 568, 1071, 430, 279, 30129, 4668, 4536, 1431, 264, 42329, 56279, 25885, 11, 719, 459, 8191, 25480, 3645, 430, 690, 387, 18306, 311, 1690, 6732, 13, 2100, 11, 449, 420, 42535, 11, 15714, 30963, 1139, 1268, 420, 4668, 36716, 311, 279, 16622, 315, 7829, 627, 50444, 753, 3932, 9575, 1690, 63334, 11, 719, 1063, 5505, 87259, 649, 387, 1903, 1990, 2606, 32331, 323, 2536, 1474, 484, 32331, 3932, 323, 872, 22639, 449, 279, 3446, 4668, 13, 4314, 1403, 5315, 6013, 22009, 994, 2728, 43749, 304, 872, 7493, 323, 1005, 872, 7493, 304, 10284, 2204, 5627, 13, 4452, 11, 358, 690, 5357, 389, 279, 4279, 278, 1385, 430, 3073, 4315, 3932, 1778, 439, 1148, 814, 1390, 311, 8895, 505, 872, 7493, 323, 1268, 872, 30994, 1684, 1124, 627, 11874, 315, 279, 1925, 36580, 1766, 505, 832, 4007, 369, 3932, 311, 1772, 389, 872, 7493, 1051, 21455, 6373, 323, 3674, 1862, 13, 3861, 1925, 6811, 1990, 14318, 753, 3446, 4668, 323, 279, 2800, 315, 279, 2816, 10168, 4725, 8158, 374, 279, 19569, 430, 7493, 617, 25, 220, 1187, 4207, 13, 1115, 3445, 430, 4205, 499, 1772, 311, 701, 3446, 690, 32153, 505, 701, 2759, 1306, 220, 1187, 4207, 13, 1115, 11705, 264, 1790, 810, 3118, 52373, 323, 42887, 11298, 369, 279, 2816, 1606, 701, 20723, 690, 1193, 1518, 433, 369, 264, 2875, 892, 11, 779, 279, 44461, 323, 38291, 7138, 315, 14318, 1587, 539, 2216, 15025, 311, 420, 4668, 13, 1115, 2225, 6276, 3932, 311, 387, 810, 2536, 86667, 519, 922, 1148, 814, 1772, 323, 1772, 810, 879, 2574, 430, 8881, 5694, 810, 27136, 13, 3161, 420, 810, 10978, 659, 5621, 45025, 11, 3927, 3932, 649, 1005, 279, 4668, 369, 810, 7524, 4442, 304, 21455, 323, 311, 47201, 1862, 369, 810, 3062, 11384, 279, 1217, 1253, 387, 264, 961, 315, 627, 4054, 4007, 1766, 430, 3932, 8541, 311, 1005, 872, 7493, 369, 21455, 6373, 13, 1115, 374, 279, 1180, 315, 4442, 701, 20723, 529, 39555, 315, 499, 3196, 389, 1148, 499, 2231, 389, 701, 3446, 13, 1115, 4131, 505, 279, 2144, 430, 7493, 527, 264, 1790, 810, 5933, 2035, 311, 1772, 810, 19433, 36185, 323, 1054, 1316, 304, 279, 2324, 863, 3772, 4245, 311, 1202, 42887, 323, 13643, 7138, 13, 3277, 499, 1427, 520, 4423, 753, 4725, 5510, 11, 499, 617, 13524, 2736, 19655, 430, 420, 374, 264, 41891, 11, 61243, 11, 323, 18797, 1427, 520, 264, 1732, 753, 2324, 13, 2435, 527, 9204, 499, 279, 22020, 430, 1903, 433, 3347, 5361, 51944, 323, 18094, 315, 38001, 13, 4452, 11, 994, 499, 1518, 4423, 753, 3446, 11, 433, 21881, 810, 311, 430, 1732, 753, 4725, 2324, 323, 11555, 323, 6299, 430, 814, 656, 539, 9615, 2512, 422, 1023, 1274, 1518, 13, 3161, 420, 810, 23222, 13340, 315, 832, 753, 9764, 11, 814, 649, 1005, 420, 311, 2349, 1148, 1274, 1781, 315, 1124, 810, 13750, 627, 14364, 1648, 430, 7493, 527, 1511, 527, 369, 3674, 1862, 13, 3277, 17437, 922, 4819, 430, 3932, 527, 3515, 304, 872, 6439, 477, 922, 8294, 4819, 430, 7958, 1274, 753, 6439, 11, 7493, 527, 264, 2294, 1648, 311, 16681, 449, 701, 20723, 323, 1501, 1148, 499, 2512, 922, 477, 1148, 499, 3207, 2133, 1555, 13, 8876, 1274, 8541, 311, 1772, 810, 32487, 4455, 389, 872, 7493, 11, 1790, 315, 279, 892, 1274, 1772, 922, 96322, 814, 527, 5496, 1555, 477, 4819, 430, 527, 28987, 1124, 13, 5112, 11, 449, 420, 42887, 6376, 3932, 529, 20723, 527, 810, 4461, 311, 6013, 323, 5662, 704, 311, 1520, 4856, 1109, 5042, 9236, 3347, 627, 8538, 1023, 40521, 430, 690, 387, 14407, 6957, 420, 4652, 527, 87333, 323, 9873, 13, 1226, 690, 1518, 1268, 1521, 3932, 1005, 7493, 22009, 323, 1268, 430, 22223, 2225, 1855, 1023, 323, 872, 20723, 627, 2170, 3932, 649, 1193, 1518, 1023, 3932, 529, 7493, 369, 220, 1187, 4207, 11, 420, 3727, 279, 15652, 315, 1884, 7493, 17235, 37015, 323, 5043, 65319, 13, 3277, 20705, 264, 3446, 11, 279, 1217, 690, 3060, 16681, 449, 433, 1314, 1243, 11, 477, 2646, 13, 1115, 11705, 1063, 7185, 5627, 304, 902, 9815, 649, 16681, 449, 279, 20723, 430, 1518, 872, 7493, 627, 4054, 315, 279, 1455, 7524, 1648, 311, 636, 14247, 11302, 505, 701, 20723, 374, 1701, 279, 7230, 4668, 13, 1115, 6276, 499, 311, 1893, 264, 832, 67515, 1403, 96877, 7230, 389, 701, 3446, 11, 1778, 439, 1054, 81134, 477, 19987, 863, 304, 902, 20723, 649, 3373, 832, 3185, 477, 279, 1023, 315, 279, 7230, 323, 1518, 279, 11668, 315, 11503, 430, 3885, 6688, 13, 1115, 374, 5423, 5505, 369, 9873, 323, 87333, 994, 4560, 311, 31990, 10877, 18463, 13, 1442, 459, 6791, 20099, 574, 4560, 311, 10491, 902, 28403, 1077, 20723, 1053, 1093, 2731, 11, 477, 902, 955, 315, 17895, 814, 1093, 11, 1243, 1364, 649, 5042, 1772, 459, 507, 1831, 35, 320, 412, 6410, 315, 279, 1938, 8, 12593, 6945, 323, 264, 4062, 7230, 13, 4314, 23925, 1935, 264, 2132, 311, 6013, 311, 11, 323, 3932, 1633, 57482, 4320, 1124, 13, 71190, 649, 1005, 433, 311, 636, 11302, 389, 3284, 2027, 6848, 11, 477, 31990, 28361, 369, 502, 8146, 1694, 6004, 477, 502, 32523, 315, 43402, 13, 1115, 374, 41390, 3187, 315, 1268, 279, 5788, 323, 15652, 315, 7493, 374, 99892, 13, 86650, 527, 2225, 35208, 279, 2038, 11, 719, 1101, 8405, 11302, 430, 57924, 279, 3446, 369, 279, 2759, 323, 3885, 627, 14364, 2294, 1648, 311, 16681, 449, 20723, 374, 1555, 279, 3488, 4668, 13, 15457, 29414, 649, 2231, 264, 3488, 449, 264, 1495, 3830, 369, 20723, 311, 2610, 4860, 430, 649, 387, 16846, 311, 13, 578, 4860, 323, 14847, 5101, 304, 12777, 306, 22245, 304, 279, 3446, 779, 430, 20723, 649, 1518, 682, 315, 279, 4860, 323, 14847, 430, 617, 1027, 4691, 779, 3117, 13, 1115, 374, 2500, 1648, 311, 636, 1695, 11302, 505, 20723, 389, 3738, 13650, 11, 477, 311, 5042, 3041, 20723, 264, 6140, 311, 38263, 4860, 477, 10742, 430, 814, 617, 13, 1442, 459, 6791, 20099, 6944, 311, 934, 616, 279, 40017, 304, 20723, 529, 20663, 922, 264, 2027, 11, 1243, 10917, 709, 459, 62803, 369, 20723, 311, 2610, 872, 4860, 449, 1695, 14847, 779, 430, 1023, 20723, 690, 1101, 617, 872, 4860, 19089, 13, 50487, 11, 369, 9873, 814, 649, 1005, 420, 311, 617, 20723, 21650, 3371, 1124, 279, 4519, 814, 4774, 922, 3956, 11, 1148, 2204, 3956, 814, 1053, 10932, 311, 1518, 11, 323, 4689, 11302, 389, 1268, 814, 1093, 279, 2883, 627, 4054, 1566, 7185, 4668, 430, 7493, 6782, 374, 279, 39620, 709, 4668, 13, 1115, 6276, 34899, 311, 2723, 264, 3738, 2199, 477, 3997, 311, 264, 3446, 15332, 555, 3515, 20723, 1054, 2332, 3527, 709, 863, 389, 279, 6945, 477, 2835, 13, 1115, 16264, 709, 279, 2723, 323, 649, 387, 5115, 5505, 304, 7231, 20723, 459, 14247, 5211, 311, 4048, 810, 922, 2555, 304, 264, 3446, 13, 1789, 3187, 11, 264, 2626, 649, 1772, 264, 7155, 2835, 922, 264, 502, 2027, 814, 617, 6004, 11, 1243, 994, 3932, 39620, 709, 389, 279, 3446, 433, 649, 1825, 709, 279, 2883, 2199, 311, 7782, 430, 2027, 11, 7231, 14553, 315, 2680, 311, 20723, 13, 4314, 6859, 44963, 11429, 323, 22639, 527, 1148, 1304, 7493, 264, 1695, 1648, 311, 6288, 16988, 449, 3932, 323, 2349, 1268, 814, 25024, 279, 3446, 11298, 627, 791, 7493, 4668, 2216, 18911, 5196, 439, 264, 810, 1510, 323, 42887, 22150, 369, 3772, 7863, 311, 279, 4725, 5510, 315, 8158, 13, 1115, 5510, 374, 6118, 29683, 315, 1664, 21110, 292, 3149, 9364, 315, 1579, 4367, 11, 9204, 1022, 279, 22020, 315, 1274, 753, 6439, 13, 1102, 5097, 264, 2763, 315, 990, 311, 733, 1555, 279, 1920, 315, 3339, 264, 1772, 25, 19301, 13711, 11, 264, 3813, 11, 79253, 1274, 11, 5099, 13, 1115, 374, 682, 304, 459, 5149, 369, 3932, 311, 5052, 304, 449, 279, 4689, 37637, 315, 14318, 439, 264, 1664, 55096, 3384, 2217, 5452, 13, 2684, 527, 11510, 315, 36595, 9204, 1148, 1274, 1427, 1093, 304, 1972, 2324, 6296, 13, 389, 14318, 11, 67908, 1120, 1268, 1790, 1274, 2349, 1268, 872, 7397, 5101, 1120, 311, 1427, 2731, 323, 5052, 304, 449, 3885, 389, 279, 5452, 13, 4452, 11, 7493, 4879, 311, 61705, 1521, 40850, 323, 2187, 369, 810, 42887, 323, 32487, 15223, 311, 387, 14407, 389, 13643, 8158, 627, 791, 6179, 2786, 323, 19502, 277, 1918, 315, 7493, 11705, 264, 2035, 1405, 3932, 527, 810, 4461, 311, 1772, 19433, 12970, 9364, 323, 922, 96322, 323, 4819, 814, 1253, 387, 13176, 13, 1115, 305, 847, 729, 1203, 311, 279, 67482, 315, 5690, 994, 2536, 1474, 484, 32331, 3932, 1053, 29011, 922, 279, 3544, 1396, 315, 69782, 9013, 311, 1217, 753, 21542, 1778, 439, 279, 2574, 814, 30912, 369, 16163, 477, 2555, 15526, 872, 4333, 1071, 13, 30129, 389, 14318, 374, 279, 4832, 2035, 311, 1772, 1778, 2574, 13, 763, 420, 1648, 11, 279, 2574, 430, 1274, 1772, 389, 872, 3446, 374, 2736, 4529, 439, 264, 810, 26569, 1427, 520, 4423, 753, 2324, 11, 439, 9932, 1603, 13, 24586, 311, 279, 2144, 430, 1274, 1518, 7493, 304, 264, 810, 69344, 3177, 11, 433, 374, 264, 2763, 8831, 369, 1274, 311, 1005, 872, 7493, 369, 6373, 315, 872, 2217, 323, 17444, 13, 23519, 35795, 11, 87333, 11, 323, 9873, 649, 5423, 1935, 9610, 315, 420, 555, 4832, 287, 279, 2217, 814, 3118, 311, 279, 586, 1418, 539, 3515, 311, 86562, 1274, 753, 35496, 449, 2753, 23222, 477, 2536, 43276, 11046, 4455, 627, 791, 7493, 4668, 374, 11, 439, 9932, 1603, 11, 264, 1790, 810, 42887, 1749, 315, 17437, 311, 14318, 13, 1115, 6276, 3932, 311, 8356, 1790, 2753, 58732, 323, 1022, 10826, 1824, 1386, 3772, 311, 387, 8621, 13, 4452, 11, 279, 15652, 323, 5788, 315, 7493, 527, 3629, 17791, 3871, 1555, 279, 13124, 315, 50396, 430, 649, 387, 9277, 389, 264, 3446, 13, 358, 617, 14407, 1521, 50396, 1603, 11, 779, 1518, 279, 87266, 3857, 369, 810, 16540, 389, 1268, 814, 527, 1511, 627, 2409, 279, 3488, 47277, 11, 20723, 649, 2610, 4860, 323, 617, 872, 3488, 323, 279, 4320, 12882, 2949, 264, 8821, 15332, 315, 430, 3446, 13, 1115, 374, 459, 3187, 315, 1268, 15652, 323, 5788, 527, 10815, 13, 578, 49307, 649, 2225, 1427, 520, 279, 3446, 323, 3493, 11302, 311, 433, 11, 1418, 17843, 810, 315, 279, 3446, 304, 2543, 13, 21815, 520, 279, 7230, 47277, 11, 420, 374, 2500, 3187, 315, 1268, 20723, 649, 2225, 25024, 323, 8356, 7493, 555, 9298, 1268, 1023, 1274, 617, 16846, 311, 279, 7230, 13, 1102, 1101, 1193, 5039, 279, 1510, 3135, 315, 279, 7230, 1306, 499, 4320, 11, 779, 279, 15652, 315, 433, 374, 539, 11754, 555, 3885, 13, 1115, 3169, 315, 3041, 9976, 2442, 731, 374, 459, 7718, 961, 315, 7493, 323, 961, 315, 1148, 6835, 1124, 264, 810, 32487, 2733, 13, 763, 264, 4725, 1772, 11, 279, 1193, 16628, 499, 649, 617, 374, 304, 279, 6170, 3857, 477, 555, 7231, 264, 1093, 13, 4452, 11, 1521, 527, 2225, 14580, 311, 279, 5150, 1772, 323, 656, 539, 1501, 709, 7389, 499, 1427, 369, 1124, 13, 3161, 7493, 11, 279, 22639, 430, 9815, 617, 449, 872, 20723, 374, 12882, 304, 279, 3446, 11, 779, 430, 20723, 527, 810, 4461, 311, 16681, 5694, 323, 2733, 1093, 814, 527, 23387, 810, 449, 279, 3772, 627, 93031, 279, 14318, 5452, 11, 1070, 374, 264, 4689, 19812, 5497, 315, 3932, 13122, 3772, 430, 814, 1505, 15538, 477, 33781, 13, 362, 1217, 649, 3060, 1934, 459, 4553, 2759, 11, 477, 264, 3254, 1772, 13, 1115, 374, 1101, 279 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 6161, 11188, 315, 279, 4892, 57227, 7935, 323, 57227, 21428, 59200, 198, 791, 3816, 11188, 315, 279, 4892, 374, 832, 315, 1193, 264, 2478, 3682, 36617, 304, 4892, 5270, 430, 6530, 10411, 13, 1115, 12992, 1202, 10683, 18197, 4754, 11, 1606, 12056, 304, 279, 18561, 2010, 99759, 315, 279, 58309, 3629, 99191, 1603, 12056, 304, 279, 18671, 5789, 11, 14718, 16557, 28555, 505, 52452, 14121, 332, 5548, 311, 72359, 449, 279, 18197, 73024, 389, 279, 3816, 11188, 13, 578, 10411, 1637, 6530, 315, 279, 15140, 1101, 3135, 304, 810, 10054, 20673, 5435, 1109, 1455, 10007, 1637, 36612, 36617, 3217, 13, 763, 5369, 11, 279, 3816, 11188, 374, 7559, 2949, 279, 7353, 11, 10269, 5740, 315, 2840, 33211, 11940, 4701, 395, 450, 11, 902, 706, 1193, 264, 23900, 10411, 1637, 31332, 13, 1666, 264, 1121, 11, 279, 1925, 19646, 323, 14121, 332, 661, 36617, 304, 279, 2840, 33211, 22553, 14733, 3158, 315, 279, 58309, 14134, 16891, 8800, 7353, 18197, 501, 1771, 627, 93387, 3785, 13980, 994, 3090, 505, 42830, 29933, 459, 3158, 520, 264, 4478, 49005, 279, 5613, 8824, 311, 6920, 430, 3090, 52452, 13, 57227, 26186, 12446, 994, 18197, 5990, 10205, 1579, 3403, 11, 477, 7293, 1317, 3403, 11, 311, 5353, 31959, 25949, 13, 57227, 26186, 304, 279, 3816, 11188, 61358, 617, 5343, 15748, 24693, 5674, 311, 879, 323, 586, 13077, 323, 14054, 11, 16781, 19641, 4814, 11, 3682, 12434, 53568, 11, 323, 4814, 315, 2324, 627, 8607, 61272, 617, 10222, 304, 279, 3816, 11188, 61358, 304, 12715, 3925, 13, 578, 30758, 9815, 527, 1766, 304, 8486, 10925, 315, 490, 28921, 323, 48539, 388, 7314, 304, 220, 10828, 19, 13, 17559, 61272, 617, 10222, 389, 279, 1925, 19646, 323, 14121, 332, 5548, 2225, 304, 279, 10683, 11, 4245, 311, 12056, 76, 3903, 323, 11422, 11, 323, 304, 279, 7474, 11, 4245, 311, 810, 44589, 8987, 62555, 13, 16758, 1154, 4245, 311, 39262, 617, 11, 389, 13402, 11, 1027, 54677, 13, 10541, 39262, 706, 1027, 264, 5933, 32659, 304, 279, 58309, 2533, 2840, 33211, 11940, 4701, 395, 450, 1421, 31035, 11, 279, 4754, 369, 5674, 7319, 449, 17516, 323, 17876, 13076, 11, 16036, 11, 323, 29149, 4500, 627, 7, 2520, 810, 2038, 389, 279, 3816, 11188, 315, 279, 4892, 17055, 36781, 323, 39262, 1518, 23822, 1741, 27766, 45231, 220, 605, 323, 220, 806, 29275, 791, 57227, 21428, 59200, 5664, 5856, 320, 37, 7842, 86016, 477, 5664, 5856, 8, 574, 13517, 14454, 304, 220, 2550, 23, 311, 2686, 4819, 5552, 311, 279, 4500, 315, 18197, 5674, 14278, 7224, 304, 430, 13651, 315, 279, 3816, 11188, 315, 279, 4892, 61358, 304, 19461, 13, 320, 10031, 1828, 3857, 6266, 6104, 49183, 430, 279, 17139, 10105, 311, 279, 18197, 5674, 323, 5933, 5211, 5435, 304, 279, 3816, 11188, 61358, 690, 1935, 264, 97666, 5149, 505, 1274, 6957, 279, 61358, 11, 279, 5664, 5856, 574, 14454, 311, 2686, 4819, 430, 527, 5016, 311, 19461, 13, 4452, 11, 279, 5664, 5856, 33095, 16781, 17320, 323, 38793, 449, 56043, 323, 11351, 6957, 279, 61358, 13, 1789, 3187, 11, 304, 220, 1049, 20, 11, 1403, 3697, 315, 279, 57227, 21428, 59200, 5664, 5856, 1101, 10434, 439, 10716, 77751, 369, 1023, 61358, 25480, 11351, 627, 791, 57227, 21428, 59200, 5664, 5856, 374, 539, 264, 26267, 65591, 2547, 323, 706, 912, 23331, 477, 11006, 11447, 13, 1102, 374, 459, 1008, 67490, 1912, 315, 7931, 14393, 6918, 11, 1614, 323, 2254, 17047, 11, 323, 2536, 46704, 278, 11351, 430, 3449, 54523, 1234, 264, 743, 315, 53579, 7378, 5304, 5015, 22746, 13, 578, 5664, 5856, 20628, 369, 279, 7580, 315, 66515, 279, 8292, 315, 279, 220, 2550, 23, 3344, 7246, 23314, 323, 3339, 19075, 311, 1023, 11527, 323, 56043, 2949, 279, 3816, 11188, 61358, 311, 430, 2515, 627, 791, 3816, 11188, 61358, 706, 10534, 16781, 58592, 323, 18197, 2585, 7640, 369, 1455, 315, 279, 3347, 220, 1041, 1667, 13, 4452, 11, 39262, 323, 5552, 17614, 58097, 617, 8738, 311, 55537, 279, 5654, 13, 12220, 279, 220, 2550, 15, 82, 1070, 1051, 21420, 91972, 1990, 92456, 27536, 323, 5211, 6373, 13607, 927, 279, 1455, 7524, 323, 3325, 57340, 40652, 5528, 311, 8108, 18197, 26186, 13, 4740, 279, 549, 815, 13, 13309, 31242, 315, 49796, 323, 19461, 6011, 315, 18955, 16607, 320, 6204, 27416, 8, 8308, 264, 10496, 12434, 5536, 5224, 389, 40944, 6372, 315, 18197, 2585, 7224, 304, 279, 61358, 304, 220, 2550, 21, 11, 279, 26654, 8813, 1202, 16557, 13, 53123, 11, 304, 3297, 220, 2550, 22, 11, 279, 19461, 47126, 19144, 11006, 369, 264, 1054, 4503, 367, 863, 1920, 311, 9006, 279, 42254, 9002, 12434, 6372, 315, 18197, 2585, 323, 311, 1464, 279, 5950, 1039, 22978, 1690, 502, 18197, 5674, 14278, 7224, 627, 31833, 358, 3344, 7246, 37357, 198, 13613, 7246, 23314, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 644, 6790, 220, 2550, 23, 11, 459, 9306, 311, 8108, 18197, 5674, 323, 7417, 5933, 5070, 304, 279, 19461, 13651, 315, 279, 3816, 11188, 61358, 574, 8813, 555, 24005, 315, 92456, 27536, 11, 1614, 323, 6918, 13607, 11, 12434, 11351, 11, 323, 879, 4363, 8281, 24005, 13, 578, 9306, 54299, 555, 420, 1912, 11, 3967, 439, 279, 57227, 21428, 59200, 5664, 5856, 11, 3984, 369, 264, 502, 40806, 5603, 311, 9293, 323, 25976, 2225, 18197, 5674, 14278, 323, 5933, 5211, 27886, 7224, 13, 5422, 5540, 315, 279, 9306, 527, 9539, 11054, 9021, 369, 2225, 18197, 14278, 323, 5933, 5070, 26, 16195, 92456, 9293, 26, 4216, 29173, 323, 20632, 4315, 682, 39210, 26, 323, 264, 48566, 5603, 311, 62174, 7224, 627, 791, 5664, 5856, 13912, 6574, 70022, 11, 902, 1160, 279, 6299, 4529, 323, 13650, 20669, 520, 5664, 5856, 16659, 13, 4452, 11, 1070, 527, 912, 16287, 4520, 315, 20954, 13, 2057, 1518, 279, 12399, 315, 264, 4040, 6574, 4299, 389, 832, 315, 279, 6574, 13003, 304, 420, 1160, 627, 791, 57227, 21428, 59200, 5664, 5856, 41013, 389, 264, 27766, 323, 38130, 45013, 10554, 320, 10155, 1741, 8, 311, 3493, 11156, 323, 12624, 2038, 323, 6492, 304, 1862, 315, 279, 77673, 5149, 13, 578, 23822, 1741, 15609, 264, 2134, 315, 49255, 11, 2737, 17055, 36781, 11, 15009, 11, 72546, 11, 69561, 8198, 11, 323, 28989, 13, 578, 23822, 1741, 8040, 264, 4101, 315, 3318, 16064, 311, 2686, 1401, 13650, 5938, 449, 18197, 5674, 14278, 323, 62653, 279, 1005, 315, 2204, 15174, 369, 18197, 5674, 14278, 13, 578, 23822, 1741, 1550, 1202, 990, 3196, 389, 24811, 11, 323, 1202, 990, 3956, 8881, 24811, 19075, 311, 279, 5664, 5856, 627, 791, 23822, 1741, 16250, 512, 10155, 1741, 27766, 45231, 198, 63326, 18343, 2360, 13, 220, 16, 25, 1556, 35907, 315, 279, 14727, 11613, 315, 10164, 9580, 53711, 27179, 33, 9933, 33611, 389, 45956, 8329, 1198, 5345, 59367, 59611, 11, 24565, 323, 21256, 11, 30390, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 17, 25, 15344, 45956, 8329, 5560, 369, 22620, 13284, 6588, 1885, 9744, 304, 279, 3816, 11188, 315, 279, 4892, 61358, 1198, 469, 604, 718, 11, 32608, 26, 5345, 59367, 59611, 11, 24565, 26, 21256, 11, 30390, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 18, 25, 578, 13756, 13071, 315, 60134, 7252, 9744, 64813, 369, 6588, 1885, 9744, 304, 279, 3816, 11188, 61358, 315, 19461, 1198, 86178, 11, 16431, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 19, 25, 328, 5977, 323, 7127, 315, 14727, 801, 1392, 369, 57227, 7935, 304, 279, 3816, 11188, 61358, 1198, 21293, 11, 25972, 26, 21256, 11, 30390, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 20, 25, 9384, 67925, 369, 57227, 21428, 59200, 304, 279, 3816, 11188, 1198, 80372, 1974, 11, 36302, 26, 622, 1338, 64, 11, 10016, 26, 21293, 11, 25972, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 21, 25, 47978, 42109, 77349, 315, 40741, 57227, 21428, 59200, 56619, 1198, 11730, 47940, 11, 11641, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 22, 25, 57227, 43480, 20817, 7127, 1198, 12404, 20176, 11, 28574, 473, 16016, 800, 13, 20524, 3902, 11, 23194, 432, 13, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 23, 25, 31913, 315, 264, 57227, 21428, 59200, 28845, 304, 279, 3816, 11188, 61358, 1198, 27766, 323, 38130, 45013, 5856, 320, 33246, 220, 23, 11, 220, 2550, 23, 340, 63326, 18343, 2360, 13, 220, 24, 25, 3816, 11188, 61358, 57227, 21428, 59200, 5907, 51803, 6826, 1198, 469, 604, 718, 28365, 49404, 26, 7553, 44612, 269, 11, 58500, 26, 735, 5420, 11, 1708, 320, 29146, 220, 1049, 18, 340, 791, 7434, 315, 264, 1054, 8006, 8068, 863, 574, 3549, 304, 279, 3816, 11188, 61358, 57227, 21428, 59200, 5664, 5856, 77673, 9306, 11, 6790, 220, 24, 11, 220, 2550, 23, 13, 578, 9306, 50729, 264, 2447, 4500, 1920, 369, 18189, 18197, 5674, 323, 18899, 5933, 5070, 304, 279, 19461, 13651, 315, 279, 3816, 11188, 61358, 430, 18065, 4216, 29173, 323, 20632, 4315, 682, 39210, 323, 264, 48566, 5603, 311, 62174, 7224, 627, 8006, 40713, 527, 8647, 369, 3318, 449, 264, 2447, 505, 4500, 315, 264, 2447, 7434, 1555, 311, 2447, 8246, 323, 16967, 13, 362, 5907, 8068, 17610, 315, 8475, 39210, 320, 99759, 42109, 27536, 11, 1614, 11, 6918, 323, 40489, 9266, 17274, 11, 2254, 3109, 7510, 11, 11754, 4363, 23840, 323, 8173, 22618, 1912, 24005, 705, 2737, 520, 3325, 832, 24073, 3729, 1732, 505, 1855, 9266, 13, 17384, 315, 279, 5907, 8068, 527, 21489, 555, 279, 92456, 4580, 315, 20258, 627, 8006, 10045, 388, 649, 1005, 279, 5907, 8068, 1920, 369, 7224, 430, 527, 3544, 11, 6485, 11, 477, 617, 279, 4754, 311, 387, 20733, 13, 2030, 1524, 2678, 11, 12309, 9099, 7224, 649, 387, 11084, 1555, 420, 1920, 422, 279, 2447, 10045, 261, 13919, 430, 279, 2447, 1436, 387, 31727, 1639, 477, 1053, 8935, 505, 279, 1912, 5597, 28846, 323, 23331, 38793, 38088, 304, 420, 1920, 627, 791, 435, 7842, 5664, 5856, 706, 8040, 264, 5907, 8068, 49924, 430, 5727, 682, 279, 2038, 4460, 311, 10299, 279, 5907, 8068, 1920, 13, 578, 49924, 374, 2561, 369, 92456, 9474, 20258, 323, 38212, 439, 1664, 439, 279, 3697, 315, 279, 5907, 40713, 627, 4959, 1060, 279, 57227, 21428, 59200, 5664, 5856, 706, 279, 6776, 311, 2167, 279, 45426, 315, 459, 86740, 315, 1614, 4689, 10736, 1555, 279, 6011, 315, 18955, 16607, 10164, 16607, 2759, 13, 578, 10374, 3197, 18306, 555, 279, 5664, 5856, 430, 40912, 1268, 279, 6011, 315, 18955, 16607, 1288, 22864, 1884, 10736, 627, 6161, 11188, 39262, 48582, 48926, 19001, 19461, 323, 24024, 4892, 28972, 25861, 13, 2030, 555, 20806, 36617, 757, 8363, 1578, 323, 50203, 14739, 8329, 11, 386, 2152, 32, 323, 1023, 5315, 527, 48408, 279, 23091, 4210, 3816, 11188, 1418, 1101, 6968, 502, 323, 2731, 39646, 369, 7795, 11, 20229, 323, 1023, 30405, 13, 2806, 279, 990, 304, 420, 2835, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2746, 499, 527, 33489, 1069, 81378, 304, 701, 36760, 499, 4762, 1766, 430, 814, 3207, 539, 3820, 88, 323, 25024, 1455, 4595, 315, 15657, 627, 644, 264, 2875, 5296, 11, 5250, 582, 26246, 527, 50197, 344, 4692, 11, 7438, 814, 8343, 24822, 323, 63875, 13, 763, 279, 8545, 11, 814, 10213, 25024, 369, 425, 315, 19595, 11, 16763, 11, 19837, 11, 41911, 11, 323, 2678, 1050, 418, 3742, 627, 39, 768, 11, 279, 60951, 1069, 2642, 363, 4835, 8965, 8343, 2204, 24822, 92885, 11, 26390, 11, 19595, 11, 41911, 11, 7878, 63875, 627, 4897, 3445, 499, 649, 5510, 701, 5250, 81378, 449, 2204, 4595, 315, 15657, 13, 2030, 11, 499, 527, 1618, 1606, 499, 1390, 311, 1440, 922, 1148, 3691, 323, 21662, 814, 1093, 311, 8343, 30, 1628, 1148, 4595, 315, 3691, 527, 11349, 311, 6106, 7191, 2890, 5380, 8586, 374, 264, 1160, 315, 15657, 430, 264, 1069, 81378, 50777, 323, 264, 4686, 8641, 311, 6106, 264, 9498, 10173, 13, 25929, 11, 584, 690, 3493, 264, 10173, 9676, 315, 872, 7446, 5510, 627, 3923, 3234, 5250, 582, 26246, 45614, 5380, 5519, 499, 1440, 69540, 527, 6380, 311, 1935, 9610, 315, 362, 5933, 4228, 15496, 5380, 39, 40027, 1870, 11, 5250, 582, 26246, 527, 50197, 344, 4692, 1606, 814, 8343, 904, 3169, 315, 3691, 1093, 13339, 11, 54832, 11, 5099, 13, 4452, 11, 5250, 582, 26246, 527, 6380, 449, 459, 4228, 15496, 13, 763, 279, 8545, 11, 814, 3351, 1618, 323, 1070, 311, 2778, 369, 3691, 13, 578, 8545, 1069, 582, 26246, 1093, 311, 25024, 15657, 1093, 1389, 41911, 11, 2204, 26390, 11, 19595, 11, 63494, 11, 14198, 819, 11, 5099, 627, 4599, 499, 527, 312, 3329, 1124, 4871, 264, 1162, 11, 814, 2011, 1205, 311, 3493, 39345, 15657, 13, 5810, 374, 264, 1796, 7075, 15657, 315, 1069, 582, 26246, 7058, 12, 6898, 82, 323, 1676, 1331, 1220, 198, 12, 17810, 35496, 612, 6896, 5510, 449, 17685, 323, 3428, 8834, 345, 12, 45419, 323, 452, 6256, 345, 12, 2522, 2453, 38759, 19335, 345, 12, 12797, 291, 20228, 345, 12, 2895, 1771, 6651, 449, 36581, 477, 43980, 82, 345, 12, 323, 9979, 92885, 11, 5099, 627, 7184, 11, 1442, 499, 527, 19054, 1124, 304, 701, 36760, 11, 23391, 264, 24770, 10173, 374, 1401, 311, 1695, 2890, 13, 12220, 279, 892, 315, 84019, 311, 8895, 2731, 2890, 11, 1069, 2642, 9802, 374, 23114, 89804, 35496, 13, 1226, 690, 4358, 433, 3010, 304, 420, 4652, 627, 644, 55529, 527, 832, 315, 872, 7075, 15657, 13, 2435, 527, 539, 282, 13753, 323, 690, 6847, 25024, 61495, 11, 16706, 41911, 11, 1099, 16115, 11, 477, 4661, 904, 1023, 23367, 13, 2684, 527, 2204, 4595, 315, 41911, 477, 1023, 15657, 430, 527, 5343, 304, 279, 1069, 81378, 753, 10173, 11, 1794, 774, 826, 527, 539, 41911, 719, 527, 3629, 10212, 304, 279, 1890, 5699, 13, 44493, 11, 1069, 582, 26246, 690, 19307, 279, 17614, 304, 2778, 315, 63000, 323, 1023, 2697, 20566, 323, 430, 374, 43522, 627, 12, 2522, 31215, 919, 323, 198, 12, 10335, 92599, 11, 5099, 198, 43712, 456, 4893, 612, 435, 68998, 198, 644, 279, 8545, 477, 84019, 11, 814, 25024, 6307, 10283, 315, 6307, 24822, 612, 14098, 323, 19595, 13, 2435, 10932, 311, 25024, 19595, 11, 42393, 11, 323, 1063, 19837, 627, 791, 27994, 11, 47136, 527, 1101, 5343, 439, 3691, 3673, 13, 5250, 582, 26246, 1253, 39897, 41613, 11, 29519, 58573, 477, 26390, 16038, 311, 636, 311, 279, 19595, 62215, 1896, 1069, 81378, 753, 10173, 11, 16869, 278, 283, 375, 323, 3090, 72218, 617, 3544, 19595, 430, 6782, 5995, 37493, 13, 34067, 11, 814, 527, 3815, 779, 304, 872, 2778, 369, 19595, 627, 12, 7997, 16763, 345, 12, 41046, 19595, 198, 12, 43786, 96740, 345, 12, 42609, 23182, 6332, 345, 12, 27967, 88, 52011, 198, 12, 2522, 2453, 38759, 19335, 345, 12, 12797, 291, 20228, 345, 12, 3341, 90329, 33522, 345, 12, 19915, 92885, 5099, 627, 791, 1160, 315, 2531, 19131, 374, 6908, 13, 4452, 11, 1521, 20229, 527, 21901, 315, 1455, 315, 1124, 13, 50487, 11, 81836, 11, 5250, 73852, 11, 323, 5250, 300, 527, 279, 4279, 15657, 369, 23878, 3486, 1069, 2642, 363, 4835, 627, 39379, 4108, 527, 832, 315, 279, 7075, 14098, 315, 1069, 582, 26246, 13, 2030, 814, 656, 539, 1193, 8343, 7878, 63494, 11, 8051, 814, 1101, 8343, 279, 41911, 430, 42840, 2212, 2697, 57796, 26390, 13, 31909, 3776, 36989, 11, 85146, 36989, 323, 66008, 527, 27073, 4459, 11, 3235, 449, 1778, 8545, 27103, 439, 305, 57075, 36989, 11, 19754, 12, 36989, 11, 323, 3167, 35555, 1572, 198, 6219, 764, 581, 5493, 323, 1050, 418, 3742, 198, 7009, 1093, 311, 8343, 2678, 93261, 581, 5493, 1093, 90546, 11, 311, 7819, 11, 4371, 309, 85051, 11, 323, 502, 2641, 13, 1050, 418, 3742, 1093, 57196, 11, 326, 35191, 11, 323, 1023, 2678, 10099, 13, 31909, 11, 4224, 6341, 323, 1776, 13602, 527, 832, 315, 279, 1455, 7075, 15657, 315, 1069, 582, 26246, 13, 2435, 617, 11754, 1690, 1274, 311, 4510, 430, 7170, 1069, 582, 26246, 3820, 19837, 13, 763, 279, 8776, 64873, 458, 31237, 82, 11, 35901, 8599, 449, 430, 315, 6617, 89022, 5493, 374, 2663, 1077, 7005, 2508, 627, 6600, 1771, 527, 14183, 311, 439, 279, 31665, 430, 3782, 505, 62233, 41936, 13, 31909, 11, 279, 62233, 41936, 527, 279, 3691, 9124, 505, 279, 16763, 19595, 1093, 20228, 11, 7951, 398, 11, 34153, 11, 25551, 876, 372, 11, 14095, 11, 5099, 13, 9086, 1455, 1023, 20229, 1521, 13124, 315, 31665, 527, 264, 4279, 3691, 2592, 315, 1069, 582, 26246, 13, 2435, 3021, 311, 8343, 14095, 11, 34153, 11, 323, 1023, 41936, 13, 18056, 499, 649, 1101, 2997, 8518, 16109, 661, 35496, 369, 66628, 477, 8415, 304, 872, 10173, 627, 16397, 279, 892, 315, 84019, 11, 1069, 81378, 55064, 264, 69051, 10173, 315, 6896, 3691, 477, 51876, 5510, 13, 763, 279, 1614, 315, 51876, 5510, 11, 814, 527, 1193, 12459, 9967, 41936, 11, 66008, 11, 323, 16385, 13, 1418, 6896, 3691, 1778, 439, 9235, 8415, 3691, 477, 5679, 3691, 5764, 5217, 34072, 323, 37493, 430, 1253, 539, 387, 31368, 2561, 1555, 19664, 83750, 833, 287, 627, 11458, 11, 1541, 1431, 3493, 6896, 3691, 430, 374, 2288, 74975, 323, 40085, 627, 60816, 24214, 477, 393, 55119, 29970, 198, 644, 84019, 11, 499, 649, 387, 23114, 1124, 8518, 12224, 477, 66628, 35496, 13, 7648, 315, 1521, 35496, 527, 24875, 13, 2435, 1093, 311, 8343, 43939, 24875, 1778, 439, 85270, 323, 14095, 5099, 13, 4452, 11, 814, 1101, 1205, 311, 25024, 41911, 323, 24822, 627, 7009, 2873, 311, 3021, 14095, 48616, 13, 4452, 11, 584, 690, 4284, 311, 5457, 433, 13, 31909, 11, 1541, 1431, 3493, 39928, 16385, 627, 3923, 3234, 5250, 81378, 98098, 5380, 13246, 1023, 10099, 477, 20229, 11, 433, 7612, 80744, 13, 763, 2144, 11, 499, 617, 311, 2349, 279, 3090, 7446, 323, 3493, 67740, 3090, 13, 5560, 220, 18, 477, 220, 19, 2427, 93514, 3090, 24794, 13, 763, 279, 12688, 3280, 11, 499, 1205, 311, 3493, 8369, 3090, 627, 37, 21702, 22410, 1238, 323, 42116, 1634, 512, 2675, 649, 5510, 1124, 449, 2204, 14098, 23661, 323, 91070, 627, 12, 8325, 66851, 612, 42116, 1634, 198, 12, 31858, 66851, 612, 42116, 1634, 198, 3923, 539, 311, 29970, 701, 5250, 582, 26246, 5380, 8586, 374, 264, 1160, 315, 3691, 430, 1069, 2642, 9802, 1253, 25024, 719, 433, 3604, 1587, 11682, 1109, 1695, 13, 7570, 433, 11384, 4648, 627, 12, 25619, 40085, 15657, 1389, 39520, 323, 7671, 47282, 345, 12, 67652, 3691, 12, 23317, 11, 63452, 11, 4106, 12875, 11, 5099, 627, 12, 507, 1570, 477, 40085, 15657, 345, 12, 2435, 48969, 21662, 1093, 12, 15600, 11033, 477, 13200, 345, 12, 23674, 11, 1541, 1431, 3493, 78792, 35496, 323, 7446, 3691, 41421, 1154, 627, 6251, 16490, 5250, 2642, 9802, 369, 480, 2101, 6401, 323, 16923, 198, 87533, 15657, 1093, 220, 16, 8, 24875, 9709, 449, 63875, 11, 220, 17, 8, 24822, 9709, 449, 99169, 11, 477, 24875, 649, 6106, 30549, 26677, 13, 578, 13944, 1069, 2642, 9802, 11, 617, 459, 50197, 344, 20857, 10173, 13, 2468, 430, 892, 11, 814, 8343, 19595, 11, 6307, 16763, 11, 76056, 11, 323, 2697, 326, 35191, 627, 644, 84019, 11, 5250, 582, 26246, 1205, 520, 3325, 220, 508, 4, 13128, 311, 387, 9498, 323, 4097, 2890, 13, 1226, 617, 1027, 3970, 1063, 1069, 2642, 9802, 7916, 388, 7079, 439, 1579, 439, 220, 843, 4, 13128, 1243, 1063, 733, 449, 4827, 13, 763, 279, 6278, 5015, 3485, 17510, 3346, 8111, 311, 387, 21676, 7378, 13, 4452, 11, 9235, 8415, 3691, 374, 264, 1695, 2592, 315, 433, 627, 8248, 433, 706, 2753, 13128, 323, 1063, 5679, 15657, 6782, 912, 10065, 13128, 13, 1226, 649, 1518, 11, 20229, 98306, 10065, 13128, 311, 5101, 311, 28875, 2731, 627, 6251, 16490, 304, 19367, 198, 644, 279, 35359, 70841, 11, 1521, 1949, 82105, 20229, 617, 3544, 23423, 449, 10283, 315, 24822, 13, 1102, 690, 6106, 1455, 315, 872, 5995, 13128, 505, 41911, 323, 1023, 39719, 1900, 430, 814, 8343, 627, 1966, 279, 1023, 1450, 11, 994, 279, 9282, 374, 4106, 11, 814, 10932, 311, 1377, 287, 4725, 9499, 3090, 627, 6251, 16490, 304, 468, 3386, 198, 644, 279, 289, 396, 70841, 11, 814, 690, 1205, 5066, 28896, 13, 2468, 420, 892, 499, 649, 5268, 311, 5510, 45405, 27795, 323, 5395, 7442, 78420, 13, 4452, 11, 304, 12688, 814, 690, 1205, 23756, 323, 67740, 3090, 627, 2746, 499, 527, 312, 3329, 1124, 11, 499, 1205, 311, 5357, 389, 28896, 13, 2057, 6106, 13128, 11, 7878, 63875, 527, 11349, 13, 4452, 11, 994, 279, 6671, 374, 3958, 11, 499, 1253, 2997, 8518, 13128, 33690, 304, 872, 10173, 627, 3923, 656, 21266, 5250, 582, 26246, 45614, 5380, 63717, 315, 279, 4325, 11, 814, 1205, 311, 25024, 15657, 13, 1666, 1093, 1023, 20229, 11, 279, 8945, 31863, 1833, 872, 6691, 13, 2100, 11, 304, 1778, 264, 1162, 11, 499, 1205, 311, 6106, 264, 26682, 477, 2697, 8149, 19763, 13, 31909, 11, 1304, 2771, 279, 3090, 261, 374, 6847, 15987, 369, 1124, 627, 3915, 279, 1176, 2046, 315, 872, 7342, 11, 1212, 26040, 1124, 41911, 11, 63000, 13, 2435, 1205, 3361, 2512, 369, 9498, 6650, 13, 4452, 11, 499, 617, 311, 6106, 264, 1695, 3392, 315, 13128, 304, 872, 10173, 13, 15636, 11, 433, 690, 387, 24629, 311, 3493, 8415, 15657, 477, 1579, 10039, 39340, 1847, 12224, 27795, 13, 4452, 11, 358, 690, 4284, 499, 311, 5766, 6896, 15657, 439, 433, 374, 2288, 40085, 477, 74975, 627, 7184, 11, 994, 814, 3207, 220, 18, 4038, 9191, 11, 499, 1541, 1431, 1205, 311, 3493, 2204, 15657, 369, 1124, 13, 12361, 11, 430, 649, 387, 17665, 449, 6822, 12224, 15657, 627, 791, 7252, 3926, 6910, 1789, 5250, 582, 26246, 198, 3947, 527, 2204, 4595, 315, 12224, 78420, 323, 41936, 527, 1063, 315, 279, 2671, 13, 1472, 649, 1817, 2212, 24392, 311, 1518, 1148, 374, 2561, 13, 23674, 11, 1618, 527, 1063, 4279, 8518, 35496, 430, 814, 2873, 311, 4774, 90578, 8586, 374, 264, 1160, 315, 11349, 1069, 2642, 9802, 32839, 512, 12, 84637, 56, 8014, 33, 220, 1041, 4, 11842, 12279, 10754, 423, 4588, 57488, 56741, 82, 198, 12, 1901, 37509, 2114, 11, 18955, 2536, 12279, 10754, 423, 4588, 57488, 56741, 82, 198, 12, 82813, 52275, 426, 8759, 24, 31825, 18, 37, 21, 23886, 1443, 15556, 5250, 73852, 220, 1135, 445, 65, 198, 12, 29084, 19508, 220, 8190, 3174, 47014, 13944, 24214, 12369, 11, 220, 508, 9483, 801, 198, 12, 386, 12930, 1322, 4140, 23414, 19435, 23414, 60887, 29970, 369, 21266, 5250, 582, 26246, 198, 56032, 10180, 5250, 582, 26246, 12369, 323, 98098, 512, 2181, 5084, 430, 1070, 3207, 1690, 30771, 36028, 922, 1124, 13, 31909, 11, 439, 814, 527, 50197, 344, 4692, 323, 706, 2204, 3691, 14464, 1109, 1455, 1023, 13018, 20229, 11, 6975, 922, 1124, 374, 5107, 369, 1455, 315, 279, 1274, 627, 5519, 5250, 582, 26246, 45614, 13358, 2094, 5380, 9642, 0, 8545, 1069, 582, 26246, 10932, 311, 8343, 2678, 57196, 13, 4452, 11, 433, 374, 539, 279, 7075, 832, 13, 2030, 279, 2144, 374, 814, 527, 51687, 311, 387, 459, 23655, 315, 1855, 1023, 13, 578, 1069, 582, 26246, 690, 539, 50134, 57196, 304, 872, 18455, 13, 23674, 11, 814, 690, 5268, 311, 4465, 7214, 627, 5519, 5250, 2642, 9802, 527, 2468, 55535, 311, 19558, 52645, 5380, 9642, 0, 814, 527, 29123, 311, 4251, 19837, 13, 31909, 11, 872, 7075, 15657, 2997, 19595, 13, 3011, 3445, 422, 279, 23153, 477 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 37, 47909, 11, 40835, 3651, 32612, 3579, 71320, 25, 578, 800, 1154, 5046, 10919, 763, 362, 33907, 198, 1687, 3449, 1057, 3021, 1555, 4885, 11, 19228, 477, 3674, 29130, 6732, 5423, 5029, 6732, 13, 4800, 11, 499, 1766, 701, 3021, 323, 6773, 311, 3449, 709, 323, 617, 3892, 13003, 311, 1440, 1855, 1023, 13, 2876, 2216, 3021, 520, 1176, 14254, 11, 477, 3021, 520, 1176, 10652, 315, 3388, 13, 2468, 1176, 11, 584, 527, 14892, 449, 279, 1732, 8884, 584, 1541, 956, 1440, 719, 584, 1093, 1606, 315, 279, 7106, 33464, 11, 7865, 477, 64550, 304, 10652, 11, 1694, 83733, 11, 477, 3515, 459, 14604, 16024, 627, 791, 1176, 6574, 374, 264, 1176, 2457, 4994, 1093, 3449, 33834, 994, 499, 527, 7556, 389, 5029, 6732, 477, 11784, 555, 4279, 4885, 994, 499, 617, 65281, 323, 20673, 5424, 520, 279, 16283, 11, 477, 95185, 4994, 701, 14373, 3838, 994, 499, 733, 99738, 477, 12185, 627, 16397, 420, 6566, 11, 499, 23846, 279, 7865, 315, 279, 1732, 499, 2322, 13, 1472, 527, 10371, 6261, 422, 1364, 78156, 13452, 499, 2288, 13, 1472, 527, 10371, 6261, 422, 499, 690, 1093, 1461, 39007, 1306, 420, 6566, 13, 1472, 10491, 422, 499, 1541, 956, 1390, 9298, 1461, 39007, 1578, 1306, 420, 477, 499, 3987, 311, 1518, 1461, 39007, 1578, 1306, 420, 6574, 627, 2181, 690, 1935, 14297, 315, 3388, 779, 430, 499, 690, 539, 387, 37104, 922, 701, 1972, 14944, 477, 16024, 922, 430, 1732, 499, 2322, 3156, 499, 10491, 311, 3351, 389, 311, 279, 1828, 6566, 627, 4516, 499, 527, 6773, 1457, 430, 499, 1390, 311, 3449, 1077, 7682, 318, 1578, 627, 10267, 603, 2019, 430, 499, 10491, 311, 1440, 279, 1732, 499, 1093, 1457, 13, 1472, 527, 24450, 311, 1440, 1461, 39007, 2731, 627, 644, 420, 6566, 11, 279, 1176, 1957, 374, 11889, 1984, 311, 279, 1732, 499, 1093, 311, 617, 264, 3449, 709, 1578, 13, 1472, 690, 3708, 264, 1984, 477, 3041, 264, 1650, 311, 2610, 1268, 1364, 78156, 374, 3815, 13, 1472, 690, 2610, 422, 1364, 78156, 374, 17339, 311, 733, 704, 1578, 311, 3449, 499, 323, 617, 2523, 4994, 477, 311, 8343, 16163, 3529, 4481, 3871, 2391, 38102, 477, 311, 2610, 422, 279, 1732, 374, 539, 13326, 520, 990, 627, 10267, 603, 2019, 2225, 315, 499, 527, 6773, 311, 1440, 1855, 1023, 2731, 1606, 499, 1403, 1093, 1855, 1023, 13, 1115, 374, 279, 6566, 315, 5029, 1855, 1023, 13, 1472, 690, 733, 704, 439, 3629, 439, 499, 1390, 5423, 2391, 38102, 311, 3821, 5818, 3871, 11, 311, 617, 14177, 477, 311, 733, 65281, 3871, 449, 4885, 13, 11995, 315, 499, 527, 6380, 304, 279, 2883, 315, 1855, 1023, 13, 1472, 1440, 279, 1732, 14297, 719, 22225, 1606, 315, 420, 6566, 13, 578, 7865, 11, 279, 13452, 323, 6944, 11, 323, 279, 14944, 3249, 499, 1403, 527, 3871, 1578, 323, 1578, 627, 644, 420, 6566, 11, 499, 690, 1440, 1855, 1023, 16102, 627, 4516, 499, 527, 1633, 1790, 2771, 430, 499, 1093, 1461, 39007, 311, 387, 449, 499, 323, 499, 617, 16024, 2736, 430, 568, 611, 32158, 374, 264, 3361, 1732, 304, 701, 4851, 627, 644, 420, 6566, 11, 279, 7564, 374, 279, 1732, 889, 656, 5590, 5383, 1606, 1524, 279, 5333, 13452, 279, 893, 1633, 1790, 11, 1364, 649, 539, 5590, 279, 7564, 13, 3005, 1193, 649, 16805, 1077, 16024, 922, 1461, 719, 539, 11889, 1461, 19837, 323, 100049, 627, 53692, 11, 420, 374, 279, 279, 1455, 10437, 961, 315, 3021, 13, 578, 31720, 315, 16024, 1990, 279, 1403, 11434, 304, 27578, 588, 627, 8586, 11, 279, 7564, 690, 1501, 37805, 311, 279, 3828, 13, 16542, 1077, 311, 2978, 36162, 323, 7963, 1077, 311, 3708, 1077, 1203, 2162, 13, 21069, 1077, 311, 2457, 1461, 24121, 323, 15870, 13, 1283, 690, 3708, 19837, 11, 100049, 477, 904, 21258, 311, 1077, 449, 3361, 8554, 922, 3021, 1524, 2085, 25975, 311, 1501, 430, 568, 374, 304, 3021, 449, 1077, 627, 791, 3828, 690, 2187, 1461, 311, 656, 430, 323, 4287, 682, 279, 21258, 505, 279, 7564, 311, 1501, 1461, 430, 1364, 13452, 1461, 2288, 477, 311, 1501, 5201, 311, 1461, 13, 1115, 374, 279, 6566, 1405, 279, 7564, 690, 16805, 813, 16024, 311, 1077, 323, 2610, 1077, 422, 1364, 649, 387, 813, 3828, 13, 3005, 690, 25670, 430, 323, 4320, 1461, 27136, 505, 279, 5740, 315, 1077, 4851, 13, 1442, 1364, 374, 539, 304, 27578, 588, 449, 1461, 11, 1364, 690, 2543, 1461, 1523, 29921, 13, 1115, 374, 279, 842, 315, 813, 6566, 323, 568, 3966, 311, 3351, 389, 323, 387, 1203, 311, 279, 1176, 6566, 1578, 449, 2500, 3828, 13, 26823, 449, 279, 3828, 2288, 11, 3604, 2225, 315, 1124, 690, 733, 1203, 389, 279, 1176, 6566, 627, 4071, 422, 1364, 374, 1101, 304, 27578, 588, 449, 1461, 11, 1364, 690, 4320, 279, 10437, 478, 3492, 369, 3026, 11, 279, 364, 14331, 6, 0, 323, 2225, 315, 1124, 690, 3351, 311, 279, 1828, 2237, 627, 791, 473, 606, 69960, 22891, 198, 644, 420, 6566, 11, 279, 1403, 11434, 527, 6773, 311, 387, 3871, 311, 13488, 810, 323, 1440, 1855, 1023, 17693, 627, 21279, 315, 1124, 1390, 311, 4587, 1855, 1023, 311, 1304, 1124, 6380, 13, 2435, 690, 3719, 439, 6380, 439, 13945, 11077, 21961, 13, 2435, 690, 10491, 3871, 323, 1781, 315, 1690, 5627, 311, 387, 6380, 3871, 627, 791, 7564, 690, 656, 4395, 311, 1304, 1077, 6380, 13, 1283, 374, 810, 12304, 1109, 1603, 13, 1283, 374, 2744, 6380, 311, 1518, 1077, 37163, 323, 810, 1109, 10032, 311, 656, 4395, 1364, 2795, 627, 791, 3828, 690, 656, 279, 1890, 13, 3005, 690, 656, 4395, 311, 4587, 1461, 13, 3005, 690, 387, 10769, 1430, 1109, 1603, 11, 1180, 15234, 323, 6380, 1120, 311, 1518, 1461, 627, 7009, 9473, 21258, 3871, 323, 32726, 682, 279, 19459, 3871, 13, 2435, 690, 733, 311, 279, 7634, 814, 2646, 1027, 1603, 13, 2435, 690, 1180, 1093, 264, 5743, 323, 1501, 872, 3021, 311, 1855, 1023, 10032, 311, 13488, 4395, 1120, 311, 1304, 1855, 1023, 6380, 13, 2360, 5435, 11, 912, 37504, 645, 11, 4822, 16643, 323, 3974, 311, 279, 77796, 627, 2028, 374, 279, 6380, 961, 315, 279, 5133, 4999, 644, 420, 6566, 11, 279, 5743, 690, 3217, 90700, 826, 11, 80822, 11, 41328, 11, 40017, 323, 29213, 16024, 304, 279, 5133, 627, 8607, 8125, 3249, 279, 5743, 527, 11039, 13, 578, 7095, 449, 1855, 1023, 6041, 311, 20784, 13, 2052, 14117, 449, 279, 6671, 13, 18156, 11, 1274, 4510, 430, 420, 6566, 374, 1193, 264, 9269, 430, 814, 1205, 311, 53120, 779, 430, 814, 649, 733, 311, 279, 1828, 6566, 315, 872, 5133, 13, 1115, 374, 279, 892, 1405, 2225, 315, 1124, 10491, 369, 872, 23871, 627, 2746, 279, 5743, 527, 11039, 1606, 315, 4382, 13146, 323, 814, 1541, 956, 1440, 1268, 311, 3790, 430, 6671, 11, 14224, 814, 527, 539, 5644, 311, 3351, 311, 279, 1828, 2237, 13, 6914, 603, 2019, 11, 814, 527, 539, 15196, 3686, 311, 3790, 279, 5133, 627, 2746, 279, 5743, 1440, 1268, 311, 3790, 279, 4382, 26885, 719, 11, 814, 2103, 3663, 11493, 5435, 304, 5133, 1093, 42823, 477, 3070, 5435, 13, 1628, 304, 420, 6671, 11, 814, 649, 539, 3790, 433, 323, 649, 539, 18167, 11, 14224, 814, 527, 539, 8967, 311, 387, 627, 2746, 279, 5743, 25051, 7865, 5435, 315, 279, 8427, 1606, 1306, 1317, 1667, 1027, 3871, 499, 11352, 1063, 3958, 11314, 315, 701, 8427, 499, 649, 539, 1935, 14926, 11, 499, 690, 3351, 311, 279, 1828, 2237, 627, 32148, 11, 1606, 315, 14348, 279, 5743, 6244, 34386, 304, 279, 5133, 323, 814, 5379, 21294, 430, 3063, 311, 279, 90700, 826, 323, 11039, 13, 3011, 3445, 11, 814, 527, 922, 311, 733, 311, 279, 1828, 2237, 627, 2028, 374, 279, 6566, 315, 16106, 323, 4851, 14576, 13, 1115, 374, 279, 8197, 3249, 499, 1205, 311, 733, 311, 279, 1828, 2237, 311, 11322, 1148, 499, 527, 11125, 369, 304, 701, 2324, 627, 2028, 374, 279, 6566, 430, 2225, 315, 499, 10491, 902, 1648, 499, 33833, 1935, 311, 387, 6380, 304, 701, 2324, 13, 9601, 374, 2288, 2875, 311, 12571, 433, 323, 9455, 279, 1314, 1732, 374, 279, 1193, 1648, 369, 23871, 422, 499, 10491, 311, 617, 264, 8427, 304, 2324, 627, 791, 5597, 374, 279, 34553, 961, 315, 3021, 13, 5810, 11, 279, 5743, 1288, 10491, 902, 374, 902, 13, 2684, 527, 1403, 5627, 311, 733, 311, 279, 1828, 323, 1620, 6566, 627, 5451, 1648, 11, 422, 279, 1403, 11434, 649, 539, 3619, 1855, 1023, 323, 539, 6380, 14926, 311, 4822, 5129, 3871, 1606, 814, 527, 1120, 48389, 1855, 1023, 11, 814, 1288, 2225, 10491, 311, 842, 279, 5133, 323, 46227, 23871, 311, 1855, 1023, 11, 430, 374, 279, 6566, 315, 578, 15996, 3216, 13, 4740, 420, 6566, 11, 814, 690, 733, 7214, 311, 279, 1828, 6566, 902, 374, 578, 49741, 13, 5112, 11, 1306, 7366, 389, 323, 5644, 311, 3663, 2324, 1578, 11, 814, 690, 733, 1203, 311, 279, 1176, 6566, 315, 3021, 11008, 1405, 814, 1205, 311, 3449, 1578, 2500, 1732, 627, 16041, 1648, 11, 422, 279, 5743, 6944, 311, 18167, 304, 279, 11039, 6566, 323, 6944, 311, 3136, 279, 5133, 814, 690, 733, 311, 279, 1828, 6566, 902, 374, 578, 41574, 13, 1442, 814, 649, 539, 18167, 304, 279, 9269, 4261, 11, 814, 10491, 311, 733, 311, 279, 5629, 1648, 11224, 3485, 13, 2030, 422, 814, 18167, 578, 41574, 6566, 1243, 11, 430, 596, 279, 842, 315, 279, 79930, 11, 814, 10491, 311, 387, 3871, 16058, 323, 10032, 311, 4287, 279, 44667, 315, 1855, 1023, 11, 814, 690, 10491, 311, 3351, 311, 279, 1888, 6566, 315, 3021, 13, 1628, 430, 596, 279, 1566, 6566, 25, 578, 31917, 627, 2181, 374, 682, 709, 311, 279, 5743, 1268, 814, 3790, 5133, 13, 358, 1120, 1390, 311, 1501, 1268, 3021, 90159, 304, 1057, 2324, 13, 4427, 1274, 3449, 279, 5076, 1732, 430, 374, 3249, 814, 1205, 311, 1935, 323, 13454, 279, 18094, 315, 3021, 1578, 323, 1578, 3156, 499, 5662, 279, 1566, 9284, 13, 1102, 374, 1120, 1093, 4737, 459, 24481, 11, 422, 499, 527, 4745, 11, 499, 1205, 311, 3351, 389, 323, 1935, 279, 24481, 1578, 13, 5884, 2336, 11, 1306, 67650, 1070, 374, 2744, 23871, 520, 279, 842, 323, 584, 690, 22225, 5662, 279, 2450, 584, 527, 3411, 369, 422, 499, 690, 539, 3009, 304, 701, 11879, 13, 11406, 701, 2324, 311, 279, 77796, 11, 1304, 433, 3152, 343, 1285, 323, 1935, 2512, 315, 6261, 13, 4418, 956, 387, 12703, 323, 387, 6380, 627, 2675, 34351, 21829, 578, 473, 16115, 21883, 512, 12, 15996, 3216, 198, 61279, 709, 374, 12703, 13, 1102, 596, 539, 922, 61682, 11, 57309, 323, 68989, 13, 1102, 596, 922, 8903, 13, 362, 2324, 10223, 3217, 311, 1304, 603, 3831, 627, 12, 10919, 22854, 23508, 198, 2028, 4652, 374, 682, 922, 5133, 13, 1472, 690, 1440, 1268, 311, 3568, 449, 264, 54524, 26923, 627, 12, 4718, 11617, 5843, 287, 2057, 57199, 198, 3923, 311, 2019, 311, 701, 3828, 422, 1364, 374, 18821, 2736, 30, 4314, 527, 279, 4339, 1364, 2643, 1390, 311, 6865, 505, 499, 627, 12, 77351, 362, 65452, 32413, 198, 791, 1853, 315, 12502, 2324, 1253, 5101, 6366, 323, 2539, 315, 23871, 719, 9214, 315, 3885, 617, 1027, 25406, 627, 12, 7073, 4718, 10919, 2057, 4718, 11617, 198, 29351, 374, 304, 279, 3805, 13, 3277, 264, 7564, 24400, 1193, 304, 1148, 568, 2795, 11, 568, 374, 3339, 264, 2466, 16930, 13, 7073, 3021, 449, 6299, 719, 4339, 649, 387, 11190, 2288, 13, 10919, 701, 3828, 90163, 12, 2650, 2057, 7531, 1628, 2175, 578, 26340, 198, 32, 2763, 315, 1274, 10371, 279, 3488, 8595, 649, 956, 814, 2873, 311, 1505, 323, 636, 279, 7564, 30, 2100, 11, 358, 1505, 430, 584, 1288, 4762, 1212, 520, 279, 7314, 13, 578, 1176, 3488, 358, 4691, 1124, 374, 2650, 1690, 7752, 656, 499, 3449, 304, 264, 2046, 5380, 12, 59124, 1283, 596, 2876, 74596, 3161, 1472, 198, 8538, 7752, 527, 539, 6129, 304, 5133, 5423, 449, 872, 85612, 13, 2100, 11, 1618, 527, 1063, 10631, 311, 2980, 369, 3278, 311, 1440, 422, 872, 893, 374, 6129, 449, 1124, 627, 12, 7874, 35198, 2094, 5046, 11215, 763, 362, 5133, 198, 10445, 1587, 433, 2873, 1093, 23062, 18311, 311, 636, 264, 7564, 311, 1650, 499, 1475, 1938, 30, 5810, 11, 499, 690, 4048, 279, 6367, 1268, 311, 1304, 1461, 3194, 499, 627, 12, 5751, 16576, 30562, 21335, 578, 60555, 31969, 11, 8595 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 24901, 636, 430, 20862, 30, 2175, 14079, 2262, 11, 10631, 323, 7526, 311, 1520, 499, 25555, 627, 2059, 6513, 5075, 1195, 5039, 1268, 3815, 279, 1314, 3245, 369, 8420, 11767, 311, 6928, 2626, 3135, 627, 3957, 701, 9548, 76349, 10494, 709, 449, 279, 10223, 1917, 315, 990, 30, 3161, 6570, 24575, 596, 17275, 49924, 21275, 636, 9096, 315, 4059, 430, 701, 76349, 374, 709, 4791, 18920, 627, 11313, 4634, 6072, 11, 5813, 38769, 323, 12178, 701, 7076, 2345, 3556, 28744, 393, 5744, 82, 99563, 6570, 24575, 14582, 47437, 304, 220, 717, 9919, 4028, 279, 549, 815, 13, 420, 10683, 627, 2, 8758, 24575, 972, 690, 9407, 701, 13356, 1389, 389, 701, 7471, 11, 389, 701, 7076, 11, 323, 389, 279, 1648, 499, 5603, 23096, 13, 16877, 603, 304, 10780, 5651, 220, 1114, 12, 508, 11, 220, 679, 23, 198, 94963, 27465, 10658, 25930, 4860, 922, 22973, 8420, 198, 25370, 1253, 4232, 832, 3048, 315, 1057, 6205, 7739, 323, 20506, 369, 701, 4443, 1005, 2949, 701, 7471, 13, 5321, 5296, 430, 682, 1778, 7739, 323, 10396, 1288, 387, 22690, 555, 701, 5897, 16467, 369, 8907, 449, 8581, 2383, 11, 323, 1288, 387, 11041, 311, 7937, 701, 7471, 753, 7829, 11, 5064, 11, 323, 12659, 13, 25215, 3697, 6463, 2536, 86940, 1253, 23645, 1778, 10688, 304, 904, 1023, 1648, 320, 68, 1326, 2637, 311, 2109, 2600, 304, 264, 2363, 477, 1005, 369, 264, 8518, 7580, 8, 2085, 6570, 24575, 753, 8041, 13, 2057, 1715, 8041, 369, 3230, 3673, 11, 4299, 389, 279, 1054, 54149, 8709, 863, 3215, 389, 279, 2199, 1405, 499, 1505, 279, 1537, 627, 2746, 459, 9548, 374, 520, 990, 994, 10434, 449, 264, 84393, 2015, 2345, 439, 574, 279, 20754, 893, 889, 11, 220, 1954, 4520, 1306, 1694, 10434, 345, 42700, 389, 264, 25114, 10658, 79728, 420, 2046, 2001, 5562, 23234, 1935, 14247, 7504, 311, 6144, 279, 27465, 5380, 8142, 3318, 520, 473, 288, 7876, 11, 31663, 12898, 31039, 21705, 37528, 389, 13806, 13, 220, 914, 11, 79613, 2265, 30390, 14337, 574, 10434, 459, 2015, 315, 9313, 505, 11737, 11, 8967, 311, 2567, 1461, 3201, 505, 813, 506, 63970, 10931, 11, 889, 1550, 539, 990, 520, 21705, 13, 87439, 889, 5602, 264, 27158, 8854, 14337, 520, 279, 37125, 2512, 7241, 15266, 6136, 3309, 40839, 753, 53928, 430, 14337, 9922, 23268, 11, 719, 539, 87146, 779, 627, 2127, 6596, 323, 264, 4376, 3010, 11, 568, 9107, 4027, 389, 8420, 520, 279, 6136, 11, 13419, 2380, 323, 289, 13900, 220, 975, 11, 1603, 264, 40839, 753, 27158, 6689, 323, 7577, 1461, 627, 13191, 279, 9349, 617, 1027, 32098, 30, 12540, 2883, 6164, 387, 30316, 7214, 422, 264, 12128, 21879, 264, 84393, 2015, 62546, 459, 43658, 477, 16806, 3925, 30, 12540, 1070, 387, 32885, 369, 14892, 449, 264, 12128, 304, 420, 6671, 2345, 49864, 31474, 459, 9888, 5326, 15813, 11, 25012, 279, 12128, 389, 5387, 477, 25309, 287, 709, 4868, 5380, 93269, 2574, 527, 72600, 17395, 11, 1606, 1694, 10434, 449, 264, 84393, 2015, 374, 539, 1694, 23959, 315, 264, 9977, 2476, 1071, 14594, 25227, 276, 9607, 301, 11564, 53501, 11, 17192, 4872, 315, 2890, 323, 39890, 520, 2394, 664, 2335, 17961, 4953, 13, 304, 65599, 11, 452, 3587, 2637, 323, 264, 13018, 9349, 24687, 627, 2822, 80467, 63348, 198, 27588, 5735, 6406, 11, 31663, 2637, 29783, 350, 13, 71509, 1071, 279, 9313, 39151, 39130, 817, 2015, 430, 14337, 574, 10434, 574, 1054, 55540, 279, 4696, 8346, 863, 430, 6197, 311, 279, 44861, 13, 21705, 23096, 7690, 62284, 37512, 1550, 539, 10052, 311, 459, 384, 11724, 477, 4641, 1650, 11125, 4068, 922, 1148, 7504, 279, 2883, 1253, 617, 4529, 311, 77277, 14337, 753, 1614, 315, 4059, 1306, 568, 574, 10434, 449, 279, 2015, 627, 35, 38872, 9607, 301, 11564, 53501, 1071, 568, 8964, 315, 912, 5220, 430, 617, 16287, 10396, 369, 30438, 311, 264, 12128, 889, 706, 1027, 10434, 449, 264, 84393, 2015, 627, 66091, 17652, 278, 11, 264, 8427, 520, 279, 19895, 2383, 7626, 315, 16062, 2194, 30283, 11, 1071, 568, 13919, 682, 23234, 1288, 2980, 23537, 7487, 889, 636, 84393, 10373, 311, 15820, 872, 74051, 7214, 51749, 23537, 18105, 889, 11550, 279, 13788, 311, 656, 779, 13, 3011, 1648, 11, 568, 1071, 11, 74051, 649, 8891, 279, 9548, 753, 7865, 627, 11458, 11, 568, 1071, 568, 753, 41747, 315, 904, 1614, 430, 76053, 1778, 11801, 627, 2746, 264, 12128, 889, 374, 10434, 8111, 23268, 11, 264, 38419, 753, 1176, 3094, 11, 25227, 276, 9607, 301, 11564, 53501, 1071, 11, 1288, 387, 311, 1935, 279, 9548, 311, 264, 879, 2035, 323, 8720, 1120, 1268, 19021, 568, 477, 1364, 374, 323, 3508, 279, 9548, 2643, 17477, 264, 8137, 311, 3885, 627, 2118, 27264, 422, 814, 1390, 311, 3137, 369, 264, 2478, 4520, 13, 9934, 311, 20461, 701, 4747, 13, 25672, 1124, 279, 2883, 706, 5070, 369, 1124, 49216, 6161, 8202, 311, 3821, 369, 2391, 1778, 264, 10652, 11, 17652, 278, 1071, 11, 2643, 2997, 1054, 1768, 70995, 11, 19738, 7865, 11, 864, 59362, 449, 61135, 477, 1884, 7577, 11, 323, 7556, 922, 10094, 87146, 49216, 2746, 279, 12128, 9221, 62642, 2345, 82, 846, 6605, 11, 369, 2937, 11, 24018, 287, 477, 3339, 18208, 29096, 38419, 374, 2949, 813, 477, 1077, 3268, 311, 617, 279, 12128, 77656, 4994, 279, 27465, 555, 4868, 7510, 11, 311, 3703, 2680, 311, 279, 27465, 3156, 20258, 649, 2731, 3619, 279, 6671, 323, 311, 1524, 2035, 279, 12128, 389, 23541, 5387, 11, 17652, 278, 1071, 627, 13461, 422, 459, 9548, 3010, 8349, 430, 264, 6023, 574, 264, 22380, 11, 17652, 278, 1071, 11, 420, 1054, 285, 539, 264, 9232, 49216, 14305, 810, 3230, 279, 6023, 11, 279, 7191, 279, 24128, 2476, 568, 1071, 11, 5423, 422, 279, 9548, 35434, 1268, 11, 994, 323, 1405, 568, 477, 1364, 2643, 13194, 4423, 627, 644, 1778, 5157, 11, 25227, 276, 9607, 301, 11564, 53501, 1071, 11, 279, 9548, 3966, 311, 5387, 323, 3966, 311, 387, 60044, 505, 312, 49315, 287, 279, 27465, 627, 61553, 5246, 439, 430, 1732, 706, 2163, 11, 1304, 279, 3813, 439, 9966, 439, 433, 649, 11000, 387, 2476, 568, 1071, 13, 1054, 2028, 3250, 1431, 3152, 279, 9548, 374, 14219, 13, 1102, 1587, 3152, 814, 3207, 60044, 505, 279, 35022, 3156, 279, 6671, 374, 2731, 16365, 49216, 2520, 36798, 10699, 21069, 369, 19721, 198, 75344, 750, 11, 17652, 278, 1071, 11, 279, 2035, 430, 51242, 264, 1732, 889, 13019, 264, 84393, 2015, 2345, 66463, 2225, 7931, 990, 520, 8821, 7634, 2345, 5562, 617, 264, 2867, 3197, 304, 2035, 1288, 279, 1732, 889, 4036, 279, 84393, 2015, 5603, 279, 27465, 627, 2118, 1991, 264, 6945, 505, 279, 9548, 315, 279, 1732, 3917, 311, 279, 84393, 2015, 323, 4319, 6468, 433, 311, 1884, 889, 527, 3221, 95679, 11, 520, 264, 8187, 2476, 568, 1071, 13, 1054, 12389, 264, 1887, 304, 2035, 779, 430, 422, 279, 1732, 29933, 11, 279, 23991, 380, 649, 3568, 449, 433, 21676, 13, 578, 23991, 380, 2643, 1650, 264, 24073, 1732, 449, 264, 5224, 430, 374, 2082, 311, 3451, 6797, 279, 4379, 14639, 15483, 439, 11, 3451, 40, 1097, 14931, 358, 4250, 3137, 1457, 13, 1226, 617, 264, 20792, 8884, 358, 1390, 311, 1520, 14639, 362, 22743, 3215, 1234, 279, 18496, 374, 1524, 2731, 49216, 17100, 685, 369, 549, 815, 13, 32886, 198, 35, 38872, 9607, 301, 11564, 53501, 374, 3318, 449, 279, 25517, 4910, 11, 12799, 12898, 31039, 36565, 23590, 311, 4060, 32413, 47732, 389, 19351, 369, 549, 815, 13, 5220, 6832, 8420, 527, 10434, 449, 477, 41587, 84393, 10373, 627, 14305, 4623, 510, 30998, 485, 279, 19351, 60, 374, 430, 422, 264, 27465, 25283, 1274, 311, 36792, 449, 18969, 1429, 323, 5201, 11, 1243, 433, 3727, 5647, 430, 279, 19683, 1053, 1755, 1274, 311, 52962, 5694, 304, 459, 31308, 11401, 682, 279, 892, 2476, 568, 1071, 13, 2100, 422, 459, 9548, 374, 10434, 449, 459, 2015, 477, 11684, 449, 13018, 9349, 11, 279, 19683, 706, 1903, 433, 2867, 430, 279, 9548, 374, 3685, 311, 1833, 904, 17876, 5897, 19351, 477, 91852, 1853, 627, 3112, 422, 430, 31293, 4536, 1431, 2322, 11, 1288, 430, 387, 2345, 74946, 311, 420, 19351, 2345, 63211, 369, 26434, 477, 23677, 5380, 35, 38872, 9607, 301, 11564, 53501, 26579, 430, 433, 649, 387, 5107, 311, 77277, 422, 264, 12128, 374, 45462, 264, 84393, 2015, 7389, 2225, 279, 12128, 323, 279, 1732, 889, 13019, 279, 2015, 527, 20011, 520, 279, 1890, 2035, 11, 1405, 18105, 649, 6847, 1518, 11, 369, 2937, 11, 422, 279, 4846, 20414, 279, 15629, 11, 304, 20535, 315, 279, 2015, 13, 763, 430, 1162, 11, 568, 1071, 11, 420, 1436, 3392, 311, 62642, 7865, 11, 369, 902, 279, 12128, 649, 387, 70166, 477, 1524, 14219, 627, 4599, 279, 12128, 323, 279, 1732, 889, 13019, 279, 2015, 990, 304, 8821, 7634, 11, 568, 1071, 11, 1070, 527, 5627, 311, 8891, 422, 279, 4846, 374, 45462, 264, 84393, 2015, 13, 1789, 2937, 11, 422, 264, 5590, 706, 14183, 279, 12128, 311, 264, 23911, 8919, 261, 753, 6514, 2068, 11, 279, 19683, 649, 1505, 704, 1555, 279, 3070, 5590, 1887, 422, 279, 12128, 374, 24096, 13, 1442, 264, 5590, 706, 11713, 430, 279, 12128, 539, 3729, 279, 1732, 889, 13019, 279, 2015, 11, 74051, 649, 387, 5225, 311, 3508, 279, 12128, 374, 1701, 2883, 18084, 477, 2883, 384, 11724, 311, 656, 779, 627, 2118, 16298, 889, 8919, 872, 8717, 3629, 656, 2574, 1093, 46789, 323, 65413, 520, 279, 11996, 389, 279, 4641, 1418, 520, 990, 2476, 568, 1071, 13, 1054, 23025, 13124, 315, 28198, 99563, 1057, 2883, 2345, 41450, 10205, 311, 279, 6666, 315, 1148, 584, 1650, 1057, 69835, 90951, 8068, 11, 902, 4696, 1053, 4461, 17302, 420, 1732, 11, 1606, 1884, 13124, 315, 28198, 527, 12266, 369, 1023, 1274, 311, 990, 2212, 13, 1442, 279, 9548, 374, 1701, 2883, 12032, 311, 11737, 872, 2218, 11, 1243, 433, 753, 1633, 4461, 814, 1053, 9229, 872, 2683, 49216, 2520, 810, 2038, 389, 1268, 23096, 15749, 649, 1520, 1893, 30549, 93162, 11, 4587, 1684, 1057, 198, 4944, 2352, 49169, 323, 6075, 12027, 5874, 369, 3754, 11, 3495, 323, 10631, 389, 22973, 701, 8420, 627, 35, 3444, 10785, 31422, 374, 459, 2930, 6576, 14, 13600, 369, 6570, 24575, 627, 2675, 617, 7946, 6924, 420, 2199, 439, 264, 36249, 627, 5618, 7838, 430, 499, 1390, 311, 10570, 449, 34111, 36249, 627, 2675, 617, 7946, 7108, 36249, 627, 5618, 1515, 304, 439, 264, 6570, 24575, 4562, 1603, 14324, 62019, 627, 5618, 1879, 304, 439, 264, 6570, 24575, 4562, 1603, 14324, 62019, 627, 5618, 7782, 264, 6570, 24575, 16250, 1603, 14324, 62019, 627, 2127, 1493, 706, 10222, 198, 57627, 369, 499, 198, 8758, 24575, 12308, 99474, 6826, 198, 8758, 24575, 753, 23096, 46236, 18524, 5727, 927, 220, 18, 11, 1049, 5220 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 3957, 701, 5133, 16054, 11996, 311, 279, 35711, 10037, 8977, 20107, 11967, 8915, 5380, 63602, 25, 1054, 10445, 656, 499, 2744, 656, 430, 12671, 198, 13379, 25, 1054, 5519, 1148, 12671, 198, 63602, 25, 1054, 2675, 10240, 757, 13, 20696, 374, 810, 3062, 311, 499, 1109, 757, 49216, 13379, 25, 1054, 2822, 11, 433, 753, 539, 49216, 63602, 25, 1054, 1687, 1205, 311, 3137, 922, 420, 13, 1472, 3207, 3815, 433, 1457, 49216, 13379, 25, 1054, 40, 1541, 1431, 1518, 279, 3575, 13, 1472, 3207, 927, 3007, 287, 49216, 63602, 25, 1054, 2822, 11, 358, 4344, 539, 18319, 198, 13379, 25, 1054, 40, 1541, 1431, 1390, 311, 3137, 922, 420, 14926, 49216, 63602, 374, 34118, 13, 3842, 374, 73669, 627, 644, 1077, 4007, 315, 220, 16, 11, 3443, 50592, 7931, 927, 220, 966, 1667, 11, 25549, 6335, 469, 13, 386, 23156, 473, 2791, 4910, 1766, 430, 21961, 889, 1051, 16075, 304, 420, 3941, 1051, 520, 279, 8592, 5326, 369, 25549, 13, 8483, 261, 2999, 13, 3842, 69109, 1543, 315, 279, 3907, 315, 6652, 323, 578, 69109, 1543, 10181, 11, 1101, 10555, 430, 420, 40652, 5497, 374, 459, 9193, 4279, 5353, 315, 25549, 13, 1283, 8349, 430, 422, 2163, 81261, 11, 279, 10037, 8977, 88359, 11967, 5497, 690, 3136, 1139, 264, 2132, 11103, 477, 17876, 32487, 12135, 627, 3923, 374, 433, 7041, 5380, 1016, 261, 60329, 323, 3229, 11, 2999, 13, 5340, 65670, 445, 42472, 94594, 279, 5497, 1093, 420, 627, 32, 8427, 449, 34118, 7865, 28335, 311, 6013, 311, 5133, 8631, 555, 7366, 9017, 279, 1023, 13, 2435, 6056, 10758, 11, 10430, 11, 311, 456, 71, 29668, 11, 323, 7645, 13, 2435, 527, 34771, 304, 872, 9045, 311, 5155, 1148, 814, 1781, 374, 5076, 13, 2435, 527, 38100, 922, 279, 6138, 872, 8427, 706, 3549, 323, 1935, 433, 16102, 13, 2435, 61730, 872, 8427, 369, 1694, 38683, 36087, 13, 2435, 4510, 814, 617, 16757, 2819, 13, 1442, 814, 3775, 311, 4667, 11, 814, 690, 18678, 1139, 264, 9439, 11, 45017, 1614, 13, 2435, 527, 30929, 83563, 11, 26192, 11, 323, 37628, 3252, 627, 32, 8427, 449, 73669, 7865, 28335, 311, 6013, 311, 5133, 8631, 555, 7366, 3201, 505, 279, 1023, 13, 2435, 1390, 7106, 323, 14604, 6138, 13, 2435, 617, 17250, 449, 34104, 13, 2435, 6013, 311, 872, 18547, 555, 2160, 73910, 1139, 1023, 7640, 311, 64917, 5694, 13, 2435, 1518, 5694, 439, 879, 323, 659, 5621, 747, 519, 13, 2435, 527, 1455, 5603, 481, 994, 814, 1541, 1431, 2733, 75451, 11, 15753, 11, 477, 46531, 13, 2435, 527, 30929, 36087, 11, 81612, 11, 323, 9495, 1523, 627, 9023, 13, 445, 42472, 3585, 704, 279, 12939, 315, 49183, 430, 14188, 5497, 374, 5076, 13, 763, 264, 4725, 5133, 11, 584, 1253, 3604, 1935, 10800, 48810, 832, 3560, 477, 279, 1023, 13, 44454, 12135, 649, 3790, 279, 8631, 449, 27848, 5201, 323, 35996, 13, 11995, 8717, 527, 8010, 315, 872, 7865, 323, 527, 10032, 311, 7652, 433, 369, 279, 8935, 315, 279, 5133, 627, 791, 3575, 430, 1455, 17037, 11767, 311, 279, 49212, 2785, 315, 279, 11103, 374, 994, 8717, 3719, 82144, 304, 279, 13073, 13, 1442, 2555, 1587, 539, 2349, 11, 2225, 3240, 311, 2733, 32614, 323, 2274, 46454, 369, 1855, 1023, 2345, 20375, 315, 279, 3682, 10163, 12195, 430, 872, 11103, 374, 58737, 311, 3775, 11, 4184, 311, 2999, 13, 69109, 1543, 627, 3923, 1587, 433, 1427, 1093, 5380, 32, 4279, 15398, 374, 1405, 264, 7555, 374, 1633, 38100, 927, 279, 6996, 315, 10758, 505, 1077, 10177, 13, 3005, 6944, 1461, 311, 1825, 709, 311, 1077, 810, 13, 3005, 6944, 1461, 311, 387, 810, 20134, 323, 311, 4667, 449, 1077, 779, 814, 649, 990, 389, 3794, 3235, 2731, 13, 5414, 2077, 374, 11, 1054, 40, 1541, 1431, 1440, 1148, 499, 3207, 7556, 922, 49216, 4516, 1364, 41802, 16127, 323, 568, 11031, 3201, 13, 6385, 33086, 5039, 439, 1364, 12302, 311, 61730, 1461, 323, 568, 4780, 279, 56673, 13, 3005, 9221, 19021, 323, 568, 22890, 459, 14604, 7147, 315, 31398, 627, 8100, 649, 1431, 13085, 3249, 568, 2834, 1431, 1518, 1268, 5076, 323, 52496, 568, 374, 13, 1283, 649, 1431, 4510, 1364, 3250, 1431, 1440, 1268, 28743, 323, 28860, 1077, 7410, 11321, 311, 1461, 627, 9023, 13, 69109, 1543, 13919, 430, 279, 31954, 315, 3026, 311, 15142, 323, 3278, 311, 23564, 374, 53221, 1139, 1057, 78152, 323, 27053, 264, 6913, 10026, 6811, 627, 40, 4344, 539, 779, 2771, 922, 430, 13, 358, 4070, 3970, 779, 1690, 10507, 1405, 279, 13073, 1051, 28537, 433, 1053, 5101, 34118, 477, 73669, 374, 810, 922, 17743, 1109, 10026, 627, 40, 4070, 71022, 22700, 315, 3026, 889, 1051, 279, 2539, 7394, 10037, 8977, 304, 872, 5133, 13, 2435, 46531, 1877, 11, 14604, 3717, 11, 37805, 11, 10758, 11, 35996, 11, 6666, 11, 323, 5201, 13, 11205, 11249, 26411, 1051, 28812, 13, 2435, 34558, 17235, 96689, 97657, 323, 25442, 6105, 902, 19168, 7953, 264, 10712, 430, 1364, 574, 5076, 13, 2052, 1364, 4460, 311, 656, 574, 7655, 323, 636, 449, 279, 2068, 13, 2435, 3287, 1431, 3009, 3156, 814, 2751, 9306, 13, 2435, 9687, 430, 2646, 8741, 627, 21279, 3026, 323, 3278, 649, 387, 5128, 1695, 10037, 84525, 13, 358, 1781, 279, 10151, 374, 1888, 1511, 369, 34118, 27848, 23871, 4856, 1109, 1057, 1866, 71329, 627, 10445, 1587, 433, 5030, 5380, 40, 617, 912, 2944, 311, 11249, 2999, 13, 69109, 1543, 753, 10334, 389, 10026, 3196, 10037, 8977, 88359, 11967, 12912, 13, 578, 3495, 555, 69109, 1543, 323, 473, 2791, 4910, 374, 3062, 13, 1102, 649, 3665, 47451, 477, 3665, 459, 3927, 505, 264, 2324, 315, 3958, 12135, 627, 791, 3495, 77039, 3177, 389, 279, 9193, 4279, 30295, 430, 3621, 304, 18254, 12135, 449, 18254, 1274, 13, 1102, 6835, 4221, 323, 20616, 311, 279, 11555, 11, 21958, 11, 323, 28198, 902, 21356, 5353, 279, 842, 315, 12135, 13, 578, 8844, 13443, 1541, 1431, 5030, 439, 1790, 439, 1148, 264, 1732, 41011, 311, 656, 449, 279, 2038, 627, 4897, 753, 682, 430, 3596, 13146, 994, 433, 4131, 311, 1057, 12135, 13, 3639, 17371, 11709, 690, 584, 1304, 30, 3639, 690, 584, 1755, 315, 13520, 304, 1057, 11555, 11, 21958, 11, 323, 28198, 311, 5376, 279, 29736, 315, 264, 6380, 11, 49150, 11, 323, 52876, 5133, 5380, 2409, 6300, 2038, 323, 39375, 11, 3823, 23837, 649, 5268, 1268, 814, 690, 6013, 311, 5133, 8631, 323, 37304, 55517, 19347, 323, 46454, 627, 7009, 649, 387, 264, 2753, 19738, 10037, 8977, 323, 264, 810, 17045, 1612, 11967, 422, 814, 1390, 311, 387, 627, 4071, 10037, 84525, 2011, 733, 1176, 198, 9023, 13, 445, 42472, 8554, 2555, 358, 1518, 21356, 449, 8762, 8403, 889, 527, 10037, 84525, 627, 14305, 10037, 8977, 374, 279, 832, 304, 810, 35104, 922, 279, 6138, 11, 323, 810, 27762, 311, 2349, 279, 5497, 13, 1789, 420, 2944, 11, 279, 10037, 8977, 374, 3629, 1888, 10434, 555, 42687, 5627, 311, 1650, 1022, 279, 33436, 17223, 1070, 527, 5627, 311, 51136, 449, 264, 73669, 8427, 430, 1541, 1431, 21736, 19738, 34118, 13, 362, 1612, 11967, 1253, 2733, 43251, 922, 1268, 2574, 527, 2133, 304, 264, 5133, 11, 719, 568, 477, 1364, 374, 2103, 810, 4461, 311, 10519, 279, 2704, 41608, 1109, 311, 3351, 9017, 264, 8427, 889, 374, 304, 33436, 3941, 49216, 2028, 374, 279, 8903, 17011, 555, 279, 10037, 8977, 3026, 358, 990, 449, 13, 5414, 1612, 11967, 8427, 753, 5845, 311, 10519, 279, 2704, 41608, 374, 4059, 293, 16499, 2785, 13, 3005, 690, 4822, 304, 1612, 11967, 3941, 369, 1667, 1418, 568, 13912, 4560, 279, 1890, 2362, 26411, 13, 3005, 11321, 85452, 311, 3351, 9017, 1461, 1606, 1364, 3966, 1176, 311, 2733, 264, 4984, 315, 279, 19428, 7410, 315, 813, 60135, 33436, 627, 791, 5536, 389, 264, 5333, 753, 5845, 311, 7095, 505, 1667, 315, 33436, 649, 387, 23205, 13, 1102, 753, 2653, 369, 1461, 311, 3619, 1077, 8850, 323, 67233, 922, 51136, 287, 13, 1050, 24177, 7095, 7612, 264, 13263, 323, 74436, 4907, 315, 26586, 323, 5201, 13, 3005, 6944, 311, 2733, 2753, 7410, 11, 2753, 19971, 11, 323, 2753, 19788, 627, 4599, 568, 41011, 311, 3619, 323, 36681, 553, 449, 1521, 9200, 3966, 315, 11074, 11, 568, 649, 5268, 264, 502, 40543, 13, 1283, 649, 70903, 4128, 1203, 323, 5357, 389, 1023, 2574, 13, 1283, 649, 3021, 1077, 304, 5627, 430, 6958, 1077, 9017, 1461, 4619, 315, 17919, 1077, 3201, 13, 1283, 649, 5268, 311, 4048, 1148, 430, 3445, 369, 1077, 627, 3923, 422, 1364, 374, 279, 10037, 8977, 5380, 36064, 17208, 279, 1890, 13, 3005, 706, 279, 1890, 12014, 627, 4071, 1612, 32842, 84905, 198, 9023, 13, 445, 42472, 1101, 6835, 264, 10163, 311, 1612, 32842, 627, 61603, 1612, 32842, 84905, 25, 9176, 8717, 11, 39019, 555, 1667, 315, 34118, 323, 8430, 86560, 11, 5387, 264, 5133, 477, 11103, 15187, 13, 3277, 264, 1612, 11967, 52694, 430, 264, 8427, 1253, 3604, 4321, 704, 11, 568, 477, 1364, 1253, 18791, 1139, 264, 2361, 315, 19428, 33436, 13, 2030, 433, 1253, 387, 2288, 3389, 49216, 3923, 1587, 420, 3152, 369, 1612, 32842, 5380, 8100, 2011, 13383, 279, 2410, 1364, 10187, 304, 1268, 1364, 41011, 311, 6013, 311, 813, 12876, 369, 3717, 13, 362, 5873, 311, 1893, 16024, 315, 8850, 323, 40206, 447, 2826, 304, 1077, 8427, 1101, 62058, 1154, 1077, 1866, 6140, 369, 264, 42093, 5133, 627, 8100, 2011, 387, 8010, 315, 1148, 1364, 374, 31526, 323, 3249, 13, 4702, 1606, 1077, 8427, 374, 3577, 1711, 1077, 3250, 1431, 1304, 1461, 5076, 13, 10926, 813, 17078, 527, 13579, 323, 1364, 374, 70441, 8430, 14400, 627, 22105, 568, 374, 8260, 1077, 704, 389, 2555, 1364, 8964, 74777, 1664, 1436, 387, 13241, 11, 719, 1364, 594, 812, 1461, 22364, 433, 704, 13, 3005, 2011, 387, 10978, 449, 11937, 627, 3112, 422, 568, 374, 9615, 1694, 59525, 323, 28743, 11, 1364, 1288, 3094, 1314, 1139, 813, 3634, 323, 73170, 3371, 1461, 779, 2085, 65437, 13, 3005, 1288, 32620, 2559, 1077, 5015, 11, 719, 505, 264, 2035, 315, 3021, 323, 5201, 627, 791, 12047, 3245, 369, 264, 10037, 8977, 311, 2733, 374, 100177, 13, 3277, 814, 527, 2728, 279, 8352, 315, 22785, 9546, 323, 6666, 814, 527, 3025, 311, 12234, 323, 1203, 1022, 779, 1790, 8831, 1389, 1524, 422, 499, 29395, 627, 2173, 3388, 11, 264, 893, 889, 374, 73669, 706, 279, 1890, 12014, 627, 25639, 682, 555, 6261, 198, 32876, 2225, 1274, 656, 872, 990, 520, 279, 1890, 892, 304, 2015, 311, 12731, 279, 5497, 5380, 2822, 13, 1628, 23132, 430, 311, 3621, 690, 48291, 7958, 872, 5845, 311, 1212, 3339, 872, 1866, 4442, 627, 11569, 2011, 387, 16625, 555, 264, 12876, 311, 387, 264, 2731, 8427, 63938, 311, 636, 1063, 9888, 1121, 477, 25455, 28787, 367, 13, 71760, 84525, 527, 3967, 369, 1694, 15632, 18222, 323, 617, 264, 2653, 892, 3339, 4442, 2085, 17078, 13, 28704, 32842, 527, 3967, 369, 1694, 52496, 323, 617, 17250, 3339, 279, 1176, 3351, 994, 1234, 7410, 627, 4599, 832, 1732, 3727, 264, 15507, 311, 2349, 872, 5603, 323, 872, 14847, 11, 389, 264, 13263, 8197, 11, 872, 5133, 690, 2349, 13, 578, 1176, 2349, 374, 499, 8430, 2731, 922, 6261, 13, 578, 2132, 2349, 374, 14614, 701, 8427, 8430, 1695, 922, 499, 8430, 1695, 627, 2028, 374, 264, 2216, 3831, 1212, 13, 1102, 649, 1193, 636, 2731, 505, 1070, 627, 5159, 502, 2363, 46910, 19513, 14173, 369, 279, 3959, 80213, 74459, 690, 1520, 499, 311, 3063, 6261, 323, 701, 5133, 1203, 311, 1695, 2890, 13, 71994, 3249, 701, 8427, 14385, 279, 1648, 1364, 1587, 9017, 499, 323, 4048, 1268, 311, 3063, 701, 2324, 304, 279, 5216, 499, 1390, 433, 311, 733, 13, 1472, 20076, 617, 279, 5133, 499, 1390, 11, 50698, 682, 701, 32097, 1418, 20958, 3021, 323, 5201, 627, 40, 6267, 264, 1949, 384, 34740, 311, 1520, 3026, 4048, 1268, 311, 9229, 872, 8850, 323, 387, 810, 14265, 304, 872, 11103, 311, 1893, 279, 3021, 323, 3717, 814, 1390, 13, 2175, 578, 11481, 311, 4593, 7331, 30198, 10180, 49538, 4718, 47199, 19804, 198, 2746, 499, 1390, 311, 4048, 810, 922, 1268, 311, 1935, 264, 11493, 3094, 9017, 1694, 264, 2867, 62166, 11, 16913, 893, 315, 1957, 11, 1243, 1505, 704, 810, 1618, 13, 358, 1053, 387, 38564, 311, 1520, 499, 636, 1070, 1389, 1057, 1176, 18841, 1650, 374, 2744, 1949, 323, 2744, 6835, 499, 264, 37954, 7916, 315, 12410, 627, 2675, 29015, 3719, 264, 49479, 11, 16643, 11, 810, 16913, 893, 1193, 1555, 1023, 3026, 13, 4718 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 20989, 4861, 304, 682, 4595, 315, 19833, 14365, 1389, 28266, 198, 10267, 603, 1520, 499, 923, 304, 13444, 323, 4868, 311, 701, 2162, 13, 3161, 1690, 1667, 315, 19833, 6134, 19248, 11, 499, 527, 304, 9250, 6206, 627, 1187, 14, 22, 32708, 39996, 25166, 23508, 198, 7749, 94957, 24119, 81537, 198, 8906, 4073, 11450, 4999, 2460, 39996, 50717, 198, 11342, 482, 31502, 11, 220, 23, 309, 482, 220, 20, 5298, 198, 44, 306, 606, 11, 23225, 220, 16874, 19, 198, 7, 2839, 8, 220, 22638, 19, 220, 19944, 15, 627, 10445, 22991, 39996, 25166, 8471, 198, 96144, 279, 8475, 19833, 6134, 2883, 374, 48696, 13, 2684, 527, 3892, 8125, 311, 1205, 264, 6721, 994, 14892, 449, 4395, 19833, 6134, 5552, 627, 45030, 425, 14365, 527, 4785, 88, 323, 51024, 13, 1472, 1205, 311, 7095, 264, 24687, 311, 1935, 2512, 315, 682, 14028, 323, 13023, 3600, 369, 701, 9313, 13, 23212, 11, 1070, 527, 264, 2294, 3568, 315, 11709, 994, 433, 18713, 1771, 311, 26012, 304, 264, 502, 19833, 6134, 13, 3161, 264, 2763, 315, 19833, 14365, 2561, 46877, 11, 433, 649, 387, 14738, 17436, 311, 3820, 832, 11, 11951, 422, 499, 4070, 2646, 4460, 311, 1427, 2212, 369, 264, 502, 6134, 8767, 13, 3234, 539, 1440, 7041, 1405, 311, 1212, 1022, 5380, 19118, 1057, 15749, 1618, 520, 2052, 39996, 50717, 311, 1520, 499, 449, 682, 701, 19833, 6134, 3966, 627, 8140, 7451, 323, 26028, 198, 36724, 3296, 2052, 39996, 50717, 10790, 198, 2460, 39996, 50717, 374, 12514, 311, 2532, 323, 907, 2085, 76100, 904, 315, 279, 1176, 15144, 4367, 430, 706, 743, 603, 709, 439, 264, 369, 261, 55515, 304, 20658, 19833, 2532, 439, 1664, 439, 14028, 315, 19833, 14365, 627, 1687, 617, 7946, 9749, 1633, 1579, 10886, 315, 15193, 4367, 11, 6904, 2968, 304, 1057, 3956, 323, 1057, 3600, 13, 1226, 10519, 459, 9193, 1579, 2237, 315, 15374, 50801, 439, 994, 584, 1176, 9107, 1057, 14365, 627, 1687, 36179, 3927, 5357, 323, 9250, 907, 369, 1475, 832, 315, 1057, 13723, 627, 13730, 5046, 5751, 8351, 198, 791, 1912, 520, 2052, 39996, 50717, 706, 9076, 1057, 52860, 304, 27535, 22834, 11, 449, 19833, 6134, 10105, 369, 1667, 11, 323, 584, 3619, 1268, 3062, 1521, 13124, 315, 19833, 6134, 14028, 323, 65918, 374, 627, 1687, 22519, 13520, 389, 10151, 3725, 6574, 1855, 832, 315, 701, 19833, 6134, 3966, 26, 1057, 2883, 6209, 1862, 323, 18726, 430, 20461, 1148, 374, 1888, 369, 499, 11, 701, 3070, 3697, 323, 701, 22423, 13, 5751, 16801, 706, 8774, 603, 2133, 3831, 369, 1690, 1667, 13, 1226, 2216, 1390, 1057, 8403, 311, 7095, 304, 603, 369, 682, 872, 19833, 6134, 8670, 13, 1226, 10788, 904, 955, 315, 10708, 311, 8854, 682, 1057, 11761, 753, 3966, 11, 1938, 477, 3814, 11, 220, 12676, 2919, 264, 1060, 13, 1226, 527, 279, 10973, 1888, 19833, 6134, 2883, 1606, 315, 1057, 12738, 2128, 315, 6335, 6721, 19833, 6134, 4685, 388, 627, 14953, 449, 603, 1314, 1457, 779, 584, 649, 1501, 499, 1475, 2697, 3245, 584, 527, 13171, 315, 4999, 1687, 8886, 578, 59143, 39996, 25166, 92794, 304, 27535, 22834, 198, 8586, 520, 2052, 39996, 50717, 11, 584, 3493, 6721, 3600, 3814, 323, 1938, 11, 17510, 42117, 4207, 264, 1938, 11, 8254, 2919, 264, 2046, 13, 5751, 15337, 323, 16572, 2532, 53459, 527, 16572, 323, 23759, 311, 8312, 1176, 15144, 3600, 311, 1057, 8403, 627, 1187, 14, 22, 32708, 16528, 198, 75392, 323, 21931, 198, 1687, 527, 96525, 198, 1305, 28244, 4028, 279, 4580, 304, 682, 13918, 315, 19833, 6134, 13023, 323, 14028, 627, 75392, 28266, 17381, 198, 1687, 617, 264, 1633, 7701, 16572, 10534, 19833, 6134, 1912, 627, 1687, 3085, 220, 1187, 14, 22, 1862, 10105, 369, 682, 701, 10742, 627, 29951, 323, 1505, 603, 1389, 584, 527, 2744, 2561, 4999, 4599, 433, 18065, 19833, 14365, 11, 2052, 39996, 50717, 374, 279, 1455, 22542, 836, 304, 27535, 22834, 13, 5751, 6444, 304, 27535, 22834, 1427, 311, 603, 1606, 1057, 2532, 35416, 617, 3892, 1667, 315, 6335, 3217, 304, 279, 19833, 6134, 5064, 13, 1226, 2744, 733, 704, 315, 1057, 1648, 311, 1304, 1057, 52860, 35072, 323, 7373, 20097, 627, 3923, 5751, 8589, 25961, 10180, 4073, 198, 8140, 11909, 2980, 433, 264, 26632, 311, 636, 32069, 1139, 1057, 6130, 753, 15316, 369, 872, 19833, 6134, 3966, 13, 1226, 8312, 1948, 51554, 3600, 1475, 892, 13, 12522, 264, 34522, 520, 1148, 264, 5743, 315, 1057, 20097, 13723, 617, 311, 2019, 627, 3923, 264, 435, 2891, 6483, 1341, 2883, 4999, 40, 1097, 779, 6380, 449, 1057, 502, 19833, 6134, 13, 4314, 11909, 3782, 704, 323, 1047, 1057, 502, 19833, 6134, 2231, 709, 56651, 323, 69704, 13, 3161, 9250, 7729, 323, 6335, 2532, 11, 358, 1097, 927, 4215, 291, 449, 1057, 6727, 4999, 25310, 323, 49517, 5475, 4999, 8140, 19833, 6134, 14760, 3389, 304, 279, 11714, 4207, 13, 1226, 25559, 2626, 11, 323, 814, 8710, 709, 2085, 7781, 311, 1935, 264, 1427, 13, 2435, 37065, 1057, 4360, 1633, 6288, 13, 1226, 527, 5115, 6380, 449, 279, 1862, 3600, 315, 701, 2883, 13, 11361, 1578, 4999, 7816, 8245, 10180, 27535, 22834, 198, 1687, 4685, 19833, 14365, 304, 1521, 48013, 198, 791, 39996, 25166, 40245, 51859, 763, 27535, 22834, 198, 4387, 701, 6484, 19833, 6134, 477, 2737, 264, 502, 19833, 6134, 311, 701, 1841, 403, 477, 25351, 449, 603, 627, 45030, 425, 50717, 923, 8935, 11, 907, 612, 4868, 311, 701, 2162, 477, 22139, 627, 8906, 603, 279, 311, 617, 701, 84969, 6767, 612, 12929, 28902, 449, 832, 315, 1057, 7701, 26611, 323, 15337, 2532, 53459, 627, 1687, 527, 11411, 311, 23391, 701, 19833, 374, 6220, 612, 2682, 612, 3411, 1202, 1888, 449, 17832, 64864, 612, 2853, 627, 2746, 499, 527, 3411, 369, 264, 68503, 6134, 311, 923, 1742, 323, 907, 311, 701, 2162, 11, 499, 4250, 733, 3347, 264, 6883, 23065, 7090, 2922, 2130, 19833, 6134, 14039, 320, 19171, 14183, 311, 439, 264, 93460, 6134, 4390, 2675, 649, 3820, 505, 264, 4101, 315, 9404, 323, 8146, 430, 1888, 7937, 701, 2162, 2955, 13, 1472, 649, 1524, 923, 11276, 311, 701, 6883, 23065, 19833, 6134, 4999, 2746, 499, 1053, 1093, 264, 15193, 6134, 14039, 311, 3604, 743, 701, 2162, 10980, 11, 5268, 505, 832, 315, 1057, 4382, 2671, 13, 1226, 3207, 810, 1109, 6380, 311, 7079, 499, 389, 279, 1888, 10778, 369, 701, 3838, 627, 95813, 264, 4367, 2027, 374, 1120, 4376, 279, 10368, 13, 1442, 499, 12876, 9096, 315, 4059, 430, 701, 502, 93460, 19833, 6134, 690, 1629, 30820, 323, 12544, 12862, 369, 1690, 1667, 311, 2586, 11, 1243, 6642, 11335, 459, 7718, 2449, 13, 1102, 374, 5107, 311, 8417, 279, 3217, 323, 5845, 315, 701, 19833, 6134, 44152, 3156, 1306, 279, 2683, 374, 8220, 320, 438, 2736, 433, 649, 387, 3117, 2288, 3389, 0, 4390, 1687, 527, 779, 6928, 315, 279, 4367, 315, 1057, 3956, 323, 1057, 14028, 990, 11, 430, 584, 3041, 499, 220, 22, 1060, 8642, 12756, 1949, 389, 904, 502, 93460, 19833, 6134, 15075, 323, 10487, 555, 603, 13, 2650, 753, 26336, 369, 9096, 315, 4059, 5380, 33455, 261, 25166, 14908, 763, 27535, 22834, 198, 1687, 527, 264, 6522, 19833, 6134, 13023, 990, 14, 14028, 2626, 304, 27535, 22834, 4245, 311, 1057, 9193, 16572, 612, 10534, 2532, 53459, 323, 1057, 30598, 323, 649, 656, 19451, 7119, 1057, 6444, 13, 5751, 2450, 304, 279, 19833, 6134, 5064, 9731, 311, 3139, 439, 6444, 3719, 810, 323, 810, 42066, 922, 279, 3451, 67, 347, 4680, 529, 4375, 1694, 11953, 704, 555, 1063, 1023, 13612, 45465, 1742, 315, 20197, 304, 279, 5064, 13, 1226, 3619, 499, 690, 220, 1041, 4, 328, 47365, 449, 1057, 3600, 323, 387, 6380, 311, 7079, 603, 311, 682, 701, 3070, 323, 4885, 627, 1687, 81938, 2015, 1475, 29551, 14365, 311, 1855, 8736, 311, 6106, 264, 1888, 5052, 369, 11113, 5784, 612, 39665, 13, 11579, 14, 7238, 477, 81908, 45642, 50717, 11, 499, 649, 17631, 389, 13, 1226, 3085, 279, 1888, 3072, 369, 701, 19833, 6134, 8670, 627, 33455, 261, 25166, 79291, 763, 27535, 22834, 512, 6806, 350, 3271, 291, 5740, 7090, 11184, 12838, 701, 19833, 37248, 617, 264, 31332, 30, 2360, 38145, 11, 584, 649, 617, 264, 55035, 4018, 1139, 279, 5740, 7090, 627, 6806, 5955, 16076, 7108, 11184, 2209, 701, 29551, 6134, 9048, 1534, 30, 8595, 539, 22472, 279, 4219, 5409, 369, 264, 58905, 6381, 311, 701, 6883, 23065, 29551, 6134, 627, 6806, 3562, 65339, 9718, 11184, 20305, 701, 1933, 65339, 1933, 311, 2713, 279, 28362, 315, 701, 2162, 13, 1472, 649, 2489, 311, 6484, 8146, 477, 1304, 264, 734, 315, 701, 29551, 14365, 27535, 627, 13129, 950, 39996, 25166, 37543, 763, 27535, 22834, 198, 791, 1455, 4279, 5435, 430, 12446, 449, 19833, 14365, 6824, 315, 25, 29551, 6134, 57953, 20324, 11, 20673, 5424, 11, 16075, 8036, 477, 1825, 11, 16264, 20684, 539, 9651, 11, 13147, 4984, 16075, 11, 5409, 69964, 20727, 11, 6134, 8987, 311, 4933, 11, 6134, 26156, 323, 539, 9861, 304, 1825, 2361, 11, 4585, 12726, 2585, 539, 3318, 11, 9048, 4401, 719, 6134, 539, 7366, 11, 29551, 6134, 17813, 477, 32232, 1802, 11, 36021, 12248, 11, 3177, 539, 3318, 11, 11102, 42242, 11, 80934, 20727, 11, 23529, 30280, 627, 8140, 39996, 25166, 28266, 8471, 763, 27535, 22834, 198, 12, 9785, 12414, 14242, 198, 12, 15895, 323, 312, 9841, 198, 12, 9785, 323, 54494, 349, 52155, 6612, 389, 682, 3116, 11314, 198, 12, 15895, 11, 7652, 323, 312, 2442, 2711, 5419, 42242, 198, 12, 9785, 323, 326, 3845, 78306, 389, 2225, 11314, 198, 12, 3402, 87220, 9048, 11, 7652, 279, 1825, 323, 3345, 9669, 323, 5457, 28174, 198, 12, 28295, 11, 312, 2442, 2711, 323, 54494, 349, 42242, 198, 12, 4343, 323, 8631, 682, 31049, 323, 49939, 198, 12, 47169, 9009, 1948, 4124, 9392, 33964, 198, 12, 3402, 87220, 9048, 11, 7652, 279, 1825, 323, 3345, 13693, 323, 5457, 28174, 198, 12, 9785, 11, 2349, 323, 326, 3845, 13587, 35553, 198, 12, 30658, 13619, 198, 12, 30658, 30304, 198, 35, 16243, 39996, 25166, 763, 27535, 22834, 25, 3639, 12540, 1472, 3234, 5380, 4599, 499, 617, 264, 294, 16243, 19833, 6134, 304, 27535, 22834, 11, 499, 2643, 387, 20134, 311, 7363, 16671, 13, 2360, 5030, 1268, 279, 5674, 3952, 2035, 11, 682, 499, 649, 1781, 315, 374, 279, 13893, 3682, 13023, 4121, 4460, 311, 15301, 701, 6134, 311, 1202, 3766, 4832, 3044, 627, 10438, 499, 1650, 264, 13023, 990, 6721, 11, 24564, 279, 5674, 15884, 13, 1472, 1253, 387, 3025, 311, 13023, 279, 3575, 555, 6261, 2085, 279, 13291, 315, 459, 6335, 11, 4869, 1120, 422, 279, 6134, 374, 1903, 505, 4040, 3769, 323, 279, 5674, 374, 539, 2288, 16195, 627, 3957, 279, 21428, 2057, 578, 39996, 25166, 3804, 77057, 5380, 32, 19833, 6134, 2643, 7831, 264, 18653, 369, 12387, 9547, 11, 1063, 52605, 810, 3682, 5674, 1109, 3885, 13, 1442, 264, 13260, 8640, 1139, 279, 6134, 477, 264, 19794, 293, 31044, 304, 279, 5076, 5216, 11, 264, 2697, 17962, 2643, 1121, 13, 4452, 422, 459, 35528, 28678, 1139, 279, 6134, 11, 1070, 753, 264, 7191, 6140, 279, 4459, 19833, 6134, 7090, 1253, 5882, 11, 11000, 14718, 5066, 5674, 430, 1253, 1205, 810, 16781, 990, 1109, 649, 387, 8220, 304, 279, 3838, 627, 3923, 10441, 2209, 279, 25166, 19332, 5046, 5380, 49492, 14365, 430, 617, 3604, 12786, 2295, 291, 477, 1027, 93136, 3640, 2643, 1455, 8935, 505, 264, 6721, 753, 5916, 13, 35053, 11, 422, 279, 14365, 527, 1903, 315, 25468, 9699, 477, 25674, 11, 2697, 294, 812, 1253, 387, 8521, 449, 279, 1314, 7526, 11, 7384, 323, 5528, 627, 2149, 19344, 43911, 28266, 5664, 763, 27535, 22834, 198, 2149, 19344, 374, 279, 30689, 3169, 315, 19833, 6134, 3769, 311, 13023, 13, 59656, 11, 636, 264, 281, 607, 315, 3090, 11, 12269, 27883, 11, 264, 69448, 11, 264, 30673, 477, 8798, 29062, 11, 259, 2801, 321, 11, 323, 264, 649, 315, 31749, 3805, 13, 22748, 279, 15994, 449, 8369, 3090, 323, 923, 1193, 832, 6068, 315, 12269, 27883, 323, 23935, 18813, 13, 33234, 392, 279, 294, 16243, 3158, 311, 636, 9463, 315, 682, 19252, 323, 342, 3200, 13, 6914, 279, 7858, 3805, 9235, 4972, 311, 14691, 627, 5971, 11, 6767, 323, 4018, 264, 3857, 315, 259, 2801, 321, 323, 5155, 433, 927, 279, 18653, 449, 17401, 13, 23588, 279, 8798, 29062, 477, 30673, 35678, 927, 279, 259, 2801, 321, 369, 832, 9568, 779, 8798, 374, 3288, 311, 279, 294, 16243, 3158, 13, 11016, 279, 47499, 323, 22571, 23749, 279, 75826, 3805, 4028, 279, 3158 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2127, 80953, 54752, 198, 791, 42071, 2450, 315, 279, 9742, 311, 58240, 4901, 55424, 988, 19176, 627, 18422, 555, 16431, 435, 1540, 689, 11, 95385, 18217, 6083, 11, 323, 23880, 432, 13856, 198, 6182, 311, 58240, 25, 578, 220, 6549, 339, 47898, 27643, 369, 19176, 574, 459, 24674, 2450, 13, 578, 15507, 315, 52121, 11, 4885, 11, 41582, 11, 13166, 8717, 11, 22291, 11, 5687, 323, 1524, 4236, 706, 13241, 19176, 753, 53008, 11, 65208, 34225, 10736, 369, 4236, 11, 92785, 279, 12374, 753, 3495, 20790, 11, 7319, 5070, 369, 22291, 323, 24872, 4029, 28271, 627, 4599, 279, 4901, 6137, 304, 220, 1049, 17, 11, 19176, 439, 11986, 311, 512, 6806, 5376, 8336, 315, 6020, 12576, 311, 8108, 5575, 11897, 198, 6806, 31370, 279, 1396, 315, 98728, 14561, 18143, 323, 26993, 311, 9504, 1690, 810, 1917, 15144, 31839, 198, 6806, 1977, 11084, 502, 13077, 311, 3085, 220, 1691, 267, 34457, 6975, 11704, 198, 6806, 23564, 279, 1317, 9860, 5915, 315, 23862, 4315, 279, 1948, 586, 3495, 53008, 304, 279, 7140, 198, 6806, 20259, 1202, 4029, 40705, 323, 1893, 502, 6305, 11, 311, 97168, 1202, 5536, 304, 279, 5654, 323, 2212, 279, 1917, 198, 1383, 1202, 3345, 304, 6790, 220, 1049, 24, 11, 810, 1109, 400, 13897, 3610, 1047, 1027, 9408, 1555, 279, 9742, 311, 58240, 4901, 11, 53120, 287, 1202, 4113, 400, 3101, 3610, 323, 1524, 1202, 11838, 400, 8652, 3610, 37419, 9021, 13, 4314, 10736, 617, 24411, 19176, 323, 617, 9147, 279, 15244, 311, 743, 502, 10886, 304, 279, 24978, 323, 7953, 627, 791, 2450, 315, 9742, 311, 58240, 1101, 15785, 459, 24674, 13353, 1486, 369, 279, 19176, 4029, 13, 76526, 323, 4885, 2744, 617, 1027, 25429, 15879, 315, 279, 12374, 430, 706, 9087, 311, 6211, 872, 6439, 13, 4452, 11, 279, 3335, 15680, 2450, 315, 9742, 311, 58240, 32216, 430, 264, 502, 11, 16643, 7829, 315, 29759, 9341, 323, 20852, 706, 22088, 627, 75776, 11, 23944, 323, 2653, 64992, 11, 4236, 527, 520, 279, 4219, 315, 9742, 311, 58240, 13, 578, 4901, 20034, 311, 5376, 38559, 12, 323, 1205, 6108, 1862, 4028, 682, 220, 1114, 315, 279, 12374, 753, 8853, 323, 31252, 323, 810, 1109, 220, 9588, 8547, 7620, 11, 8405, 810, 4236, 449, 2680, 311, 264, 19176, 6873, 627, 6182, 311, 58240, 26399, 304, 7999, 810, 1109, 400, 2721, 3610, 311, 279, 12374, 753, 34225, 5070, 11, 323, 220, 13384, 502, 5575, 34225, 10736, 617, 1027, 3549, 2533, 220, 1049, 17, 627, 7816, 1109, 220, 1049, 34225, 10736, 449, 1205, 6108, 13186, 617, 1027, 9749, 11, 24950, 505, 4689, 1862, 311, 55855, 449, 1633, 3230, 8670, 3196, 389, 264, 5575, 753, 3158, 315, 14584, 2802, 11, 813, 477, 1077, 4092, 477, 1023, 9547, 13, 1115, 31069, 1862, 3445, 810, 19176, 4236, 649, 23564, 872, 58724, 304, 279, 24978, 11, 304, 279, 4029, 323, 304, 279, 3318, 1917, 627, 32, 1917, 15144, 22291, 374, 7718, 311, 14584, 38656, 13, 100123, 45724, 6211, 279, 30676, 11, 36528, 14992, 18105, 323, 31740, 4236, 311, 23564, 872, 9021, 13, 2057, 3136, 12967, 23944, 48709, 323, 12074, 311, 15679, 11, 19176, 16495, 311, 5376, 279, 1396, 315, 98728, 10736, 323, 1023, 6020, 5070, 96208, 43161, 369, 22291, 13, 1666, 264, 1121, 11, 810, 1109, 400, 508, 3610, 574, 9408, 53611, 369, 420, 7580, 323, 11, 1990, 220, 1049, 20, 323, 220, 1049, 24, 11, 19176, 22163, 810, 1109, 220, 3101, 31839, 505, 6522, 14584, 323, 3495, 14673, 2212, 279, 1917, 627, 36557, 13077, 1893, 264, 34076, 15679, 16975, 13, 3277, 9742, 311, 58240, 6137, 304, 220, 1049, 17, 11, 19176, 2631, 502, 13077, 311, 89483, 1202, 53008, 1664, 1139, 279, 220, 1691, 267, 9478, 13, 2057, 3240, 279, 18475, 315, 279, 15679, 4676, 11, 279, 12374, 29091, 400, 2636, 3610, 323, 5918, 3892, 43772, 14016, 627, 791, 13235, 11930, 323, 8483, 17283, 520, 279, 6401, 23199, 5955, 11, 279, 13585, 6150, 315, 8184, 529, 43951, 11166, 11, 279, 32320, 6150, 315, 5277, 753, 4802, 39680, 2162, 323, 264, 502, 4857, 369, 279, 16576, 261, 9304, 315, 10948, 323, 30704, 11, 1101, 389, 4802, 39680, 11, 15253, 88419, 20632, 323, 7417, 279, 11782, 323, 68188, 9090, 430, 374, 29683, 315, 19176, 4236, 304, 682, 5151, 315, 4007, 627, 1688, 279, 9309, 315, 16273, 6825, 323, 14128, 28163, 12839, 320, 70614, 9084, 2857, 6825, 705, 279, 43748, 19176, 11, 1405, 12374, 19533, 25953, 1221, 9336, 6137, 10168, 6989, 304, 220, 9378, 16, 11, 706, 78881, 439, 264, 1614, 8838, 10826, 38921, 1567, 4219, 627, 791, 43748, 19176, 753, 13945, 57934, 1925, 14321, 11, 1457, 2663, 17638, 43241, 11166, 11, 574, 7396, 555, 264, 400, 16, 3610, 15507, 505, 30390, 7023, 307, 11, 26313, 44, 18217, 1227, 11, 323, 555, 11758, 315, 5217, 33149, 13, 578, 78881, 12764, 690, 9504, 9214, 315, 10495, 505, 6957, 279, 19895, 5654, 311, 4802, 39680, 323, 1520, 311, 17543, 279, 18671, 13651, 315, 19895, 753, 17569, 315, 279, 17979, 627, 28528, 374, 459, 3062, 1648, 311, 9504, 1948, 11005, 311, 19176, 13, 7429, 11, 11084, 26969, 3085, 5016, 16627, 11704, 311, 4236, 323, 3493, 10708, 311, 5276, 8396, 13, 2057, 9407, 279, 3495, 20790, 17223, 311, 3351, 12401, 311, 264, 1317, 9860, 5915, 315, 23862, 4315, 279, 1948, 586, 3495, 23978, 304, 279, 7140, 2345, 19176, 20034, 311, 12207, 5376, 1862, 369, 14584, 323, 12624, 26981, 627, 10682, 27104, 622, 7217, 24453, 650, 13, 11868, 337, 6491, 198, 10682, 27104, 13960, 328, 13, 16835, 56936, 198, 26556, 220, 2550, 24, 323, 220, 1049, 24, 11, 9974, 11006, 369, 30638, 7224, 810, 1109, 35717, 11, 7982, 505, 400, 2137, 13, 24, 3610, 311, 400, 2421, 13, 23, 3610, 13, 578, 1121, 374, 459, 20790, 430, 21434, 12855, 279, 15481, 8752, 11, 36050, 279, 6439, 315, 7931, 2212, 279, 1917, 323, 7437, 279, 6566, 369, 3938, 18841, 627, 22759, 698, 753, 7982, 1862, 369, 14584, 323, 27692, 27501, 88958, 41582, 11, 3109, 13607, 323, 7931, 2345, 19171, 3445, 12374, 26453, 617, 279, 5217, 5070, 814, 1205, 311, 3619, 3432, 753, 6485, 4819, 304, 16088, 11, 279, 4676, 323, 1023, 5789, 627, 791, 19176, 11278, 198, 16397, 9742, 311, 58240, 11, 279, 12374, 323, 279, 19176, 3907, 76526, 10229, 320, 99682, 6157, 8, 9749, 264, 1396, 315, 7620, 311, 16988, 279, 5016, 9090, 315, 19176, 753, 220, 14374, 11, 931, 38581, 13, 46982, 279, 4901, 11, 1884, 7620, 60654, 1664, 439, 36504, 32006, 1778, 439, 55628, 753, 75200, 323, 5492, 5065, 48534, 99563, 55535, 810, 1109, 220, 1135, 11, 931, 13324, 311, 4455, 430, 3952, 2035, 4028, 279, 7140, 627, 791, 2930, 4029, 856, 363, 4835, 1330, 916, 1101, 5825, 52121, 323, 5575, 3697, 449, 5627, 311, 4667, 449, 1855, 1023, 323, 449, 3432, 753, 19176, 13, 2684, 11, 52121, 649, 51136, 449, 61190, 11, 1505, 29130, 10708, 323, 7076, 5070, 11, 3085, 76579, 3600, 311, 1510, 4236, 11, 1304, 21258, 311, 279, 12374, 323, 4254, 369, 4455, 627, 24798, 15481, 19424, 323, 279, 19176, 389, 279, 9728, 4101, 11, 52121, 889, 3974, 4994, 279, 19895, 3158, 527, 21583, 449, 12637, 38581, 304, 9919, 6957, 279, 7140, 13, 70132, 617, 17057, 304, 20005, 11, 17368, 11, 10406, 11, 10780, 11, 9853, 12167, 11, 1561, 4356, 4409, 11, 17355, 7188, 323, 6652, 11, 423, 732, 627, 14364, 1648, 369, 19176, 38581, 311, 51136, 323, 4009, 449, 12637, 52121, 374, 1555, 6222, 2802, 5315, 25, 279, 19176, 3907, 5348, 76526, 23590, 11, 19176, 3907, 13566, 76526, 323, 19176, 53643, 11, 21334, 11, 43684, 46279, 323, 4149, 13265, 76526, 13, 9062, 1060, 11, 6222, 65873, 5315, 3552, 29130, 4455, 11, 96727, 11, 35740, 919, 323, 3361, 7620, 627, 1737, 13311, 287, 19176, 596, 12781, 198, 22759, 698, 3907, 706, 8813, 264, 502, 2237, 315, 30296, 13, 578, 2450, 315, 9742, 311, 58240, 32216, 430, 264, 7829, 315, 879, 58738, 18237, 706, 4529, 3789, 520, 19176, 323, 690, 3136, 311, 3139, 13, 3161, 57088, 6020, 5070, 12899, 4236, 323, 14584, 7620, 11, 279, 12374, 374, 304, 264, 2361, 311, 70531, 389, 264, 19092, 3197, 430, 690, 7417, 279, 6975, 323, 5496, 3217, 369, 1475, 19176, 5575, 13, 1115, 502, 3197, 39039, 9803, 279, 12374, 753, 14691, 6678, 311, 7417, 11, 311, 3139, 323, 311, 16988, 15603, 304, 279, 220, 1691, 267, 9478, 627, 31272, 9328, 42170, 34871, 198, 2170, 19176, 12302, 1202, 1828, 12735, 11, 279, 12374, 753, 3938, 14584, 323, 63681, 4500, 690, 387, 33687, 555, 279, 42170, 46661, 60680, 13, 3161, 3116, 1925, 5789, 315, 5357, 2345, 7271, 403, 6165, 369, 13346, 11, 8483, 58240, 11, 21631, 12, 4198, 3531, 323, 8121, 9386, 479, 22416, 3197, 5764, 22700, 315, 3230, 28271, 323, 32855, 4330, 4771, 9021, 11, 2737, 18899, 279, 39554, 4478, 11, 7859, 30638, 3495, 323, 810, 627, 1688, 279, 4219, 315, 279, 42170, 46661, 60680, 374, 42828, 19176, 11, 264, 5915, 430, 690, 1520, 311, 4128, 1524, 810, 19310, 323, 68188, 20663, 311, 19176, 753, 10687, 304, 19895, 323, 2212, 279, 1917, 627, 644, 2015, 311, 2274, 42828, 19176, 11, 279, 12374, 690, 9407, 10708, 369, 4236, 311, 25555, 304, 279, 24978, 323, 15253, 19297, 323, 27501, 304, 1475, 2978, 323, 7926, 13, 19176, 1101, 690, 84713, 279, 7036, 315, 4029, 40705, 304, 279, 5654, 323, 4028, 20355, 11, 323, 690, 5376, 10708, 369, 6625, 12917, 11, 6975, 11, 3495, 323, 4029, 47210, 11704, 13, 1115, 3596, 3502, 76562, 4029, 315, 4236, 11, 13820, 11, 31839, 323, 14248, 374, 279, 4851, 315, 279, 12374, 430, 690, 18885, 279, 6439, 315, 1274, 2212, 279, 1917, 627, 31233, 369, 279, 12781, 198, 22759, 698, 1101, 690, 1893, 502, 13077, 369, 6975, 11, 5496, 323, 47044, 13, 19176, 220, 508, 14, 508, 11, 279, 12914, 1555, 902, 279, 12374, 690, 3719, 264, 837, 9284, 11, 690, 73484, 349, 16273, 6825, 323, 1304, 433, 264, 34076, 46979, 430, 8983, 1924, 2212, 279, 9042, 439, 264, 49277, 16036, 4676, 627, 43061, 264, 13515, 11, 4802, 39680, 323, 279, 14373, 6401, 23199, 5955, 690, 387, 459, 3158, 9257, 304, 36483, 323, 264, 8915, 9284, 369, 279, 4553, 19895, 5654, 627, 2028, 14529, 15679, 18475, 374, 279, 1455, 9621, 64050, 315, 19176, 753, 14691, 6650, 439, 264, 4219, 369, 34225, 323, 28697, 11, 5536, 323, 6776, 13, 74540, 398, 11, 1274, 505, 2212, 279, 1917, 690, 1427, 9017, 19176, 3907, 439, 264, 16595, 19240, 369, 14265, 3463, 323, 64955, 3495, 13, 2435, 690, 2586, 311, 19176, 2345, 263, 15679, 11, 2930, 477, 520, 6625, 10687, 50617, 4048, 11, 7142, 11, 9473, 6848, 323, 97168, 502, 6677, 13, 2435, 690, 31740, 3885, 323, 387, 14948, 555, 1884, 25363, 7931, 889, 527, 961, 315, 19176, 753, 23649, 3728, 4029, 13, 11205, 11376, 323, 279, 11376, 315, 279, 12374, 690, 3136, 311, 5276, 6439, 304, 19895, 323, 7953, 627, 22759, 698, 753, 3938, 706, 2646, 1027, 53657, 627, 1271, 1373, 810, 922, 9742, 311, 58240, 25, 578, 220, 6549, 339, 47898, 27643, 369, 19176, 11, 4299, 1618, 627, 3792, 311, 12531, 220, 679, 15 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 791, 6826, 304, 6401, 16543, 520, 12644, 38305, 6150, 706, 1047, 264, 1317, 13970, 3347, 304, 3339, 5644, 2890, 4967, 35416, 13, 6401, 68721, 374, 42066, 26434, 430, 706, 17626, 19019, 11, 15871, 4245, 311, 29054, 10401, 430, 706, 20654, 4147, 2890, 20862, 323, 17563, 27344, 13, 358, 1550, 539, 1440, 430, 814, 18010, 433, 0, 358, 3287, 1431, 6865, 430, 961, 28578, 389, 20352, 13, 2435, 11224, 430, 279, 4121, 1053, 3041, 682, 7931, 279, 6140, 311, 617, 279, 1890, 2890, 2512, 439, 279, 21342, 13, 358, 1541, 1431, 1440, 358, 9855, 358, 4805, 2503, 1578, 323, 1518, 279, 1648, 433, 682, 27772, 704, 323, 24739, 369, 279, 1455, 7524, 13, 3092, 38594, 11, 889, 6439, 304, 17355, 469, 556, 1047, 279, 1890, 52497, 320, 2465, 36271, 753, 18233, 570, 1283, 11, 2288, 11, 13174, 926, 28362, 315, 279, 1887, 323, 5602, 264, 35416, 627, 14884, 8276, 10401, 11, 1093, 682, 8276, 11, 4375, 555, 75510, 37064, 13, 578, 9498, 25905, 553, 279, 14363, 11, 889, 1253, 1633, 1664, 387, 904, 1732, 775, 420, 43438, 323, 1101, 499, 1828, 1060, 13, 13266, 37064, 27830, 904, 3169, 315, 2890, 2512, 264, 1732, 1053, 11000, 1390, 505, 7314, 311, 4648, 2001, 97128, 2512, 1555, 21036, 560, 13, 2360, 3927, 374, 38097, 311, 1205, 682, 315, 433, 11, 719, 584, 4805, 682, 1390, 1063, 315, 433, 690, 8659, 13, 2052, 41021, 323, 39543, 690, 3118, 1949, 13147, 6593, 5220, 11, 1524, 994, 499, 1541, 1431, 617, 264, 3109, 2890, 3786, 13, 2684, 1253, 387, 17294, 39661, 304, 701, 15443, 11509, 627, 40, 4070, 10278, 3093, 304, 279, 26434, 315, 3674, 990, 320, 4291, 459, 24473, 3674, 990, 8547, 1389, 459, 10504, 54, 570, 358, 4805, 2019, 11, 1418, 279, 11344, 5475, 8547, 1253, 387, 1633, 33045, 323, 31439, 311, 636, 1389, 505, 1148, 358, 617, 14000, 46029, 323, 10623, 336, 2740, 433, 374, 539, 264, 1633, 9193, 33647, 8547, 13, 46402, 279, 1274, 889, 656, 1664, 449, 433, 527, 6305, 889, 3207, 2736, 3318, 315, 872, 7076, 323, 1120, 1205, 311, 636, 872, 49683, 477, 36467, 8547, 311, 636, 4696, 4557, 4497, 12515, 32, 13945, 8040, 7528, 69010, 35268, 374, 961, 315, 264, 6883, 502, 5780, 430, 63526, 11499, 11217, 323, 19084, 32758, 11, 10923, 16410, 311, 7858, 9572, 11, 30020, 11, 323, 1023, 19338, 4871, 279, 64441, 439, 1664, 439, 3495, 304, 7872, 279, 3289, 404, 63198, 62690, 13, 3277, 48883, 287, 315, 433, 11, 5813, 701, 26470, 449, 279, 1520, 315, 264, 54595, 13, 68301, 311, 1124, 323, 10491, 520, 1148, 6566, 433, 753, 1888, 311, 3009, 433, 477, 1518, 279, 5208, 13, 1115, 374, 37938, 264, 1633, 1695, 1879, 315, 4500, 994, 8430, 1063, 16337, 323, 3987, 13, 3861, 315, 1521, 20356, 1436, 387, 6612, 555, 96460, 889, 11984, 433, 779, 912, 1288, 387, 14792, 13, 5884, 37036, 8430, 649, 1101, 387, 459, 28137, 315, 4500, 902, 374, 6555, 304, 264, 5603, 627, 644, 1162, 499, 37191, 304, 264, 220, 679, 21, 2890, 3197, 11, 433, 753, 7718, 311, 2343, 701, 1176, 2305, 753, 15193, 311, 701, 2890, 8276, 7626, 311, 2567, 3201, 505, 80417, 701, 10401, 13, 13266, 889, 1390, 311, 18885, 872, 8244, 2890, 1253, 37938, 48863, 11626, 505, 279, 23606, 13, 3861, 315, 1202, 2890, 22934, 374, 430, 433, 1253, 7945, 4018, 1203, 6680, 13465, 5990, 11, 8617, 44649, 872, 6023, 315, 6968, 2890, 15082, 13890, 311, 4785, 5435, 323, 20335, 13, 1666, 1664, 439, 11, 433, 1253, 18885, 74502, 323, 11810, 5912, 44032, 315, 12571, 505, 279, 2547, 627, 22111, 1772, 11, 87410, 3444, 0, 3092, 4443, 6848, 389, 279, 47430, 83908, 2890, 2512, 1887, 1051, 11041, 7154, 22571, 5304, 33111, 520, 578, 71212, 10537, 994, 358, 574, 3411, 369, 15419, 369, 856, 2487, 459, 19405, 13, 578, 28913, 304, 72044, 6181, 574, 2561, 311, 4322, 757, 11, 323, 814, 1047, 1475, 3245, 814, 4934, 311, 1935, 1957, 13, 1115, 574, 264, 10988, 311, 757, 13517, 11, 323, 574, 539, 16168, 4184, 311, 279, 25237, 339, 315, 17135, 358, 1047, 26617, 2225, 6931, 1109, 33111, 323, 4216, 389, 304, 279, 11879, 13, 6104, 358, 4510, 430, 420, 1749, 1253, 387, 1633, 4676, 4696, 4557, 4497, 12515, 2409, 279, 16448, 62533, 2065, 315, 7362, 10401, 11, 584, 1101, 1518, 279, 7859, 62533, 2065, 315, 2162, 11759, 11, 323, 1455, 35146, 279, 49179, 315, 264, 1579, 42357, 22156, 4379, 1614, 25, 264, 44804, 19220, 3314, 2029, 5165, 323, 6625, 56803, 527, 304, 279, 1920, 315, 16650, 750, 6376, 709, 264, 3451, 943, 90364, 2191, 529, 304, 25935, 20095, 13, 16803, 3268, 323, 61077, 527, 49212, 839, 555, 1648, 315, 7294, 12, 38488, 380, 13543, 11, 9244, 83, 3713, 323, 7757, 22156, 527, 63677, 323, 61838, 11, 10573, 11725, 863, 527, 20968, 11, 902, 14134, 2997, 279, 5144, 315, 47962, 388, 11, 323, 279, 45874, 374, 810, 323, 810, 54946, 311, 961, 731, 304, 55671, 627, 2181, 64252, 279, 3717, 315, 26870, 323, 1202, 10383, 311, 279, 10489, 33851, 315, 279, 11754, 1732, 13, 282, 570, 469, 13636, 5036, 304, 11612, 374, 389, 279, 3157, 389, 279, 8486, 753, 45710, 11, 1949, 315, 6900, 369, 4232, 13, 4314, 79688, 1253, 54350, 709, 311, 220, 18, 11, 931, 4339, 11, 220, 21, 12920, 477, 12678, 11, 323, 459, 12399, 315, 539, 810, 1109, 220, 5154, 32847, 323, 15407, 35988, 84640, 5008, 13, 578, 49316, 527, 1193, 7347, 555, 701, 28697, 323, 5211, 31514, 13, 6401, 32947, 323, 279, 3566, 527, 16195, 8336, 279, 2035, 499, 690, 636, 6848, 505, 13, 24941, 304, 4059, 430, 499, 527, 4737, 1716, 7504, 13, 2100, 1935, 433, 4696, 4557, 4497, 12515, 50, 2599, 374, 459, 1825, 2680, 21959, 315, 42780, 22973, 264, 8205, 315, 14584, 49255, 13, 1666, 279, 3927, 3157, 9731, 311, 42197, 653, 59707, 1436, 584, 636, 1063, 955, 315, 4062, 7394, 4261, 2345, 66372, 264, 43438, 477, 1403, 2345, 3482, 30, 19292, 13, 4452, 430, 2643, 1524, 387, 264, 463, 55535, 6689, 323, 422, 430, 7077, 433, 2643, 3284, 2586, 439, 264, 961, 315, 264, 2011, 1522, 4121, 430, 1047, 10092, 323, 4783, 9540, 11692, 8041, 311, 10570, 13, 1628, 11, 422, 430, 10222, 433, 2643, 2216, 19788, 2225, 15692, 54818, 323, 40845, 11, 439, 1664, 439, 279, 2385, 13, 5884, 9540, 23072, 477, 5492, 4562, 430, 22415, 660, 449, 12643, 311, 2047, 709, 37096, 1053, 4461, 636, 9036, 277, 1142, 520, 872, 17876, 6355, 13, 23212, 433, 374, 389, 261, 788, 311, 1518, 1268, 3060, 23896, 47783, 477, 30173, 13960, 2643, 18167, 1778, 459, 5149, 627, 1688, 279, 1633, 3325, 11, 433, 690, 4461, 387, 1695, 1648, 315, 29385, 4954, 1148, 358, 2733, 527, 264, 2478, 315, 279, 1455, 16595, 2890, 6743, 311, 2586, 1203, 704, 315, 856, 502, 35097, 11, 2999, 13, 45568, 11605, 753, 1952, 7368, 8245, 311, 386, 3916, 753, 6401, 11, 902, 1520, 3041, 25000, 315, 682, 17051, 264, 15105, 369, 19994, 2489, 323, 29921, 13, 16870, 300, 6354, 278, 34144, 356, 11, 362, 74237, 34050, 11, 3053, 3394, 480, 11, 1880, 453, 13, 6401, 53082, 323, 31071, 331, 532, 51643, 13, 622, 2052, 43043, 18905, 67335, 337, 220, 679, 17, 26, 9748, 968, 414, 1680, 26970, 12, 2983, 627, 8142, 1070, 527, 912, 6721, 10034, 7640, 7411, 304, 28621, 11, 1070, 527, 1690, 10708, 369, 41308, 10034, 323, 10034, 7640, 5552, 7640, 323, 779, 814, 682, 1304, 1005, 315, 5115, 264, 2763, 315, 7487, 13, 1398, 87728, 81366, 320, 52340, 750, 11, 389, 701, 52354, 8, 374, 264, 1633, 4279, 49648, 315, 1521, 14892, 449, 28170, 423, 48294, 13, 2100, 304, 1162, 499, 3207, 35611, 84239, 279, 28566, 1022, 701, 60375, 320, 428, 14917, 315, 279, 2890, 6469, 705, 499, 1053, 11000, 1390, 311, 1427, 1139, 430, 6680, 1296, 358, 14407, 6931, 627, 644, 459, 5149, 311, 2274, 323, 1977, 1579, 4367, 16124, 11, 279, 2547, 7612, 264, 3738, 12472, 315, 13128, 13, 578, 12472, 4696, 4557, 4497, 12515, 12626, 5256, 574, 11887, 304, 220, 5162, 20, 439, 264, 4686, 1716, 16048, 2068, 13, 1102, 706, 3984, 3987, 323, 1520, 311, 220, 1313, 3610, 3428, 32197, 61095, 323, 872, 29939, 4028, 279, 549, 815, 13, 927, 279, 3766, 220, 1135, 1667, 13, 11452, 19110, 706, 14958, 22514, 1524, 304, 279, 3663, 315, 43468, 5054, 323, 6020, 92399, 1606, 433, 706, 15870, 13241, 279, 5220, 433, 28421, 311, 6980, 323, 8689, 13, 1102, 1101, 16846, 311, 279, 60923, 3966, 315, 2254, 10977, 13, 57410, 3691, 520, 51688, 1436, 2873, 57697, 11, 323, 7344, 264, 2766, 810, 11646, 1109, 6981, 3691, 11, 38330, 433, 753, 5995, 311, 1935, 264, 1427, 520, 279, 1317, 9860, 7729, 315, 53808, 26870, 13, 61695, 39345, 21644, 1436, 907, 810, 65451, 11, 17715, 459, 5066, 400, 16, 13, 1135, 45839, 320, 269, 400, 13506, 86000, 705, 279, 22934, 67166, 505, 12459, 9498, 323, 3515, 9498, 26870, 3085, 499, 2753, 18985, 7194, 1523, 279, 8761, 13, 13235, 7729, 369, 1274, 889, 527, 50320, 527, 400, 16, 11, 16371, 7319, 1109, 1521, 315, 264, 5410, 4785, 11, 20444, 1274, 449, 20335, 320, 998, 3522, 449, 279, 5471, 481, 16347, 220, 17, 20335, 705, 62622, 810, 1109, 11157, 279, 6593, 7729, 1109, 4423, 2085, 20335, 13, 1442, 499, 2980, 433, 430, 1749, 11, 459, 5217, 400, 16, 13, 1135, 824, 1938, 311, 7293, 9498, 4536, 1431, 1790, 520, 682, 0, 2876, 21742, 430, 11, 719, 499, 1253, 2733, 2294, 323, 58003, 279, 22934, 315, 701, 9498, 26870, 439, 499, 4325, 627, 60105, 15235, 17055, 46755, 1174, 3090, 1389, 430, 753, 279, 17055, 961, 1389, 374, 1511, 311, 53105, 349, 701, 15235, 323, 63900, 649, 1147, 323, 18698, 1124, 4335, 13, 1666, 264, 1121, 315, 420, 3634, 374, 279, 3838, 315, 264, 14880, 11668, 315, 279, 41580, 323, 59854, 439, 264, 961, 315, 22852, 1887, 14816, 26, 1070, 753, 264, 5326, 430, 2288, 1690, 690, 636, 74820, 704, 304, 279, 3388, 315, 279, 17055, 46755, 13, 1102, 374, 1093, 21939, 279, 1716, 704, 449, 279, 9061, 13284, 13, 36925, 279, 3650, 62114, 8779, 311, 70543, 819, 1148, 1253, 387, 90660, 2391, 279, 40239, 627, 3947, 2643, 387, 264, 4696, 4557, 4497, 12515, 3648, 4356, 9483, 417, 80436, 15429, 304, 1561, 4356, 4409, 374, 2085, 10712, 832, 315, 279, 1917, 753, 84608, 24461, 393, 30375, 374, 279, 1226, 484, 7813, 1540, 616, 12764, 320, 5902, 17395, 520, 12541, 570, 1472, 656, 539, 617, 311, 387, 459, 34880, 311, 8935, 505, 5912, 48131, 10368, 13, 7570, 27946, 15055, 315, 7106, 5820, 649, 18885, 701, 2890, 13, 75800, 374, 264, 1633, 60423, 1376, 315, 4279, 5542, 13, 1666, 264, 1121, 315, 13957, 315, 3090, 11, 279, 3392, 315, 75716, 2631, 311, 16587, 264, 2771, 6138, 374, 7191, 1109, 430, 4934, 311, 1629, 477, 4321, 279, 1890, 6138, 13, 763, 1023, 32847, 11, 24269, 649, 8395, 810, 4907, 1109, 3318, 824, 892, 7543, 627, 644, 586, 2890, 56769, 10284, 1109, 13126, 279, 2890, 315, 279, 1732, 584, 690, 1935, 1139, 2759, 279, 2890, 315, 701, 4553, 12818, 477, 3738, 40771, 13, 1102, 15871, 3568, 449, 27252, 50600, 8624, 1174, 18054, 88959, 505, 21644, 323, 16558, 3090, 11, 44649, 7230, 4065, 11, 555, 586, 2890, 10396, 320, 2000, 3187, 86661, 40300, 369, 5370, 49909, 8, 323, 779, 13544, 2533, 814, 690, 7958, 279, 4459, 12818, 627, 85203, 8391, 1565, 26, 1618, 374, 813, 50859, 19557, 11, 559, 1540, 315, 1202, 490, 23903, 13, 1283, 1288, 5622, 1521, 568, 628, 32109, 11, 439, 814, 2019, 48856, 258, 4511, 656, 13, 4800, 11, 420, 4536, 1431, 4754, 11, 439, 264, 1121, 315, 568, 2011, 33294, 1124, 439, 10489, 13, 9393, 568, 4250, 6920, 6680, 65, 589, 389, 311, 53624, 11, 323, 33792, 311, 10065, 12970, 53568, 11, 568, 33291, 6373, 11, 279, 5780, 5900, 1139, 10134, 11, 323, 264, 60135, 12496, 11767, 1461, 389, 311, 1654, 73369, 2065, 627, 9241, 300, 32689, 279, 38586, 315, 279, 94612, 1646, 304, 54626, 323, 27723, 8624, 11, 433, 5825, 603, 264, 20333, 10778, 311, 84713, 433, 1314, 1139, 264, 810, 13687, 12914, 311, 1440, 323, 10299, 2890, 2512, 13, 578, 8333, 315, 1855, 14278, 2191, 323, 61876, 8446, 311, 2890, 2643, 387, 5217, 51763, 369, 279, 5208, 315, 6593, 3495, 323, 2890, 20862, 304, 279, 8396, 13, 578, 61636, 315, 2225, 20414, 690, 387, 26455, 439, 1070, 4696, 4557, 4497, 12515, 84910, 315, 4892, 6890, 320, 34, 15259, 8, 1174, 578, 24028, 347, 950, 8925, 315, 6401, 71029, 320, 17094, 12228, 8 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 7778, 8345, 15781, 38213, 364, 65007, 1270, 5786, 38329, 25, 22450, 198, 91, 2367, 13562, 63842, 81739, 350, 732, 885, 13, 41661, 7511, 91, 51, 732, 885, 13, 5742, 8651, 2123, 17908, 7511, 91, 2137, 12, 1114, 12, 5894, 21, 8651, 9028, 28609, 10094, 2391, 31752, 29407, 7511, 91, 2137, 12, 1114, 12, 5894, 22, 8651, 1844, 20510, 1285, 15691, 477, 19243, 315, 264, 10500, 7511, 91, 2137, 12, 1114, 12, 5894, 24, 8651, 9028, 28609, 10094, 389, 2978, 3424, 7511, 91, 2137, 12, 1114, 12, 9263, 16, 8651, 9028, 28609, 10094, 389, 586, 27943, 11, 42715, 82, 11, 44973, 19169, 11, 323, 1023, 37100, 4857, 323, 21319, 7511, 91, 2137, 12, 1114, 12, 9263, 20, 83532, 65, 8, 320, 16, 1680, 34991, 34959, 323, 11810, 311, 6920, 99636, 7511, 91, 2137, 12, 1114, 12, 9413, 15, 8651, 36919, 287, 99636, 311, 99545, 3742, 7511, 91, 2137, 12, 1114, 12, 9413, 16, 8651, 83729, 1362, 315, 264, 57905, 1418, 1234, 279, 10383, 7511, 91, 2137, 12, 1114, 12, 8878, 16, 1389, 220, 8878, 23, 8651, 2367, 13562, 63842, 3700, 45803, 7181, 25, 8876, 279, 2723, 15407, 3892, 350, 732, 885, 13, 35813, 11, 459, 1963, 2199, 8649, 279, 7902, 220, 8878, 16, 1389, 220, 8878, 23, 690, 5101, 994, 4183, 13, 7511, 91, 2137, 12, 1114, 12, 8878, 24, 8651, 1360, 5923, 6055, 520, 3738, 16659, 7511, 91, 2137, 12, 1114, 12, 9795, 15, 8651, 27099, 323, 14640, 7511, 91, 3936, 220, 5538, 15957, 220, 1758, 8651, 17205, 29219, 3600, 7511, 91, 3936, 220, 2031, 15957, 220, 19, 8651, 52079, 41242, 14640, 7511, 91, 2031, 12, 19, 12, 6889, 8651, 48414, 23330, 1389, 16543, 315, 23330, 12875, 1389, 96342, 7511, 91, 2031, 12, 19, 12, 7261, 8651, 39, 27421, 323, 43931, 1080, 2439, 35319, 1389, 16543, 3280, 1389, 30555, 811, 11, 31086, 7511, 91, 2031, 12, 19, 12, 8546, 8651, 83729, 1362, 315, 10094, 304, 5789, 70598, 555, 2466, 1847, 1389, 96342, 7511, 9, 4427, 350, 732, 885, 13, 41661, 1051, 31011, 2391, 279, 220, 1049, 24, 3882, 555, 279, 2768, 3142, 69481, 902, 1253, 387, 25790, 1555, 279, 24097, 12667, 315, 3314, 753, 5000, 2816, 520, 1795, 1129, 1546, 82, 437, 2726, 14, 11613, 65633, 93324, 13, 7461, 339, 2348, 30, 3528, 543, 512, 12965, 15957, 220, 4645, 1389, 8704, 13562, 8245, 19406, 1389, 1115, 1180, 59538, 279, 6011, 315, 19220, 477, 904, 9476, 67362, 57905, 7296, 3388, 9548, 505, 23537, 32368, 369, 57905, 6920, 11810, 311, 52259, 904, 25607, 2038, 18815, 904, 57905, 279, 32368, 25241, 477, 50326, 627, 68639, 2696, 25, 5936, 220, 1544, 11, 220, 1049, 24, 198, 12965, 15957, 220, 19140, 1389, 8704, 52921, 304, 39272, 1389, 1115, 1180, 29790, 264, 19504, 889, 706, 264, 2764, 57905, 6920, 11810, 311, 15575, 264, 57905, 1418, 2949, 279, 23546, 315, 904, 6246, 323, 1023, 4528, 586, 7634, 13234, 323, 24026, 555, 279, 1614, 11, 14189, 11, 477, 3363, 11, 44878, 3738, 5933, 5789, 11, 18526, 27943, 11, 7138, 33965, 11, 30405, 6373, 5789, 13, 8949, 17047, 1253, 4135, 555, 264, 8857, 11175, 315, 279, 2254, 27743, 2547, 311, 48486, 6166, 6920, 11810, 29809, 505, 60662, 99636, 304, 2254, 27943, 627, 68639, 2696, 25, 81739, 1303, 59589, 323, 31276, 311, 48047, 50967, 89864, 1389, 5651, 220, 717, 11, 220, 1049, 24, 48023, 2696, 25, 3341, 28609, 16766, 304, 6918, 323, 1614, 27943, 1389, 5651, 220, 717, 11, 220, 1049, 24, 48023, 2696, 25, 3341, 28609, 16766, 304, 27512, 477, 14189, 27943, 7389, 27010, 1389, 6250, 220, 16, 11, 220, 1049, 24, 198, 1966, 5887, 220, 1187, 11, 220, 1049, 24, 11, 279, 18919, 3331, 11136, 60767, 2360, 13, 220, 2545, 12, 9748, 902, 11, 33549, 311, 76626, 13, 6247, 9489, 13, 17036, 220, 2137, 12, 1114, 12, 5894, 24, 11, 59538, 57905, 6920, 11810, 29809, 505, 60662, 32653, 304, 586, 27943, 2391, 3115, 994, 279, 29703, 5151, 477, 1023, 37100, 13077, 527, 3604, 1694, 1511, 555, 8853, 627, 12965, 15957, 220, 19852, 1389, 63739, 90831, 645, 323, 33447, 52921, 304, 56120, 1389, 1115, 1180, 6276, 264, 1732, 449, 264, 57905, 6920, 11810, 311, 15575, 264, 6799, 29232, 477, 6799, 52348, 304, 264, 38171, 13234, 7458, 13, 578, 1180, 5825, 430, 279, 10500, 4250, 617, 37768, 304, 279, 25199, 3734, 304, 279, 1162, 430, 459, 3927, 11810, 12102, 11321, 22655, 21699, 627, 68639, 2696, 25, 5651, 220, 717, 11, 220, 1049, 24, 198, 12965, 15957, 220, 20325, 1389, 32936, 315, 15542, 5247, 1389, 1115, 1180, 7612, 264, 1732, 2403, 8884, 459, 2015, 315, 9313, 706, 1027, 11136, 311, 28490, 315, 904, 32653, 2949, 220, 2166, 4207, 1555, 904, 52321, 3445, 13, 1102, 20064, 9803, 430, 279, 1732, 1253, 16063, 19243, 315, 32653, 3131, 279, 2015, 315, 9313, 374, 30831, 627, 68639, 2696, 25, 5887, 220, 16, 11, 220, 1049, 24, 198, 12965, 15957, 220, 20213, 1389, 60565, 304, 8718, 51259, 22964, 699, 14789, 56816, 1389, 1115, 1180, 6276, 264, 1732, 449, 264, 2764, 57905, 6920, 11810, 311, 15575, 264, 36705, 304, 264, 14850, 11, 586, 23330, 3158, 11, 30405, 6373, 3158, 11, 477, 389, 5426, 13952, 4363, 627, 68639, 2696, 25, 5887, 220, 24, 11, 220, 1049, 24, 198, 32129, 7174, 3011, 15832, 2893, 6344, 13538, 90701, 369, 264, 24097, 8704, 13562, 63842, 81739, 198, 12, 48023, 5887, 220, 16, 11, 220, 1049, 20, 11, 682, 57905, 11810, 32177, 11125, 264, 502, 11, 43901, 477, 14039, 11810, 2011, 3493, 11311, 315, 549, 815, 13, 94836, 477, 7658, 1285, 57316, 1838, 26859, 627, 12, 48023, 5887, 220, 16, 11, 220, 1049, 20, 11, 24097, 57905, 6920, 11810, 2383, 690, 1457, 2187, 3738, 32177, 2736, 39028, 505, 89506, 449, 23677, 2134, 19705, 315, 279, 1510, 35786, 311, 1101, 387, 39028, 505, 904, 24978, 8670, 13, 13266, 1510, 20157, 527, 32177, 889, 12391, 311, 279, 9476, 430, 2949, 4330, 320, 20, 8, 1667, 505, 279, 2457, 315, 3851, 369, 57905, 11810, 11, 279, 32368, 706, 90578, 12, 51678, 23759, 555, 279, 4379, 9640, 753, 10886, 323, 4967, 12396, 11, 477, 198, 12, 7946, 8308, 4967, 520, 279, 2383, 13627, 4967, 44445, 26, 477, 198, 12, 7946, 8308, 279, 32653, 4967, 3388, 2631, 369, 17903, 4868, 27270, 26, 477, 198, 12, 7946, 8308, 682, 57905, 4967, 315, 539, 2753, 1109, 3116, 320, 19, 8, 4207, 439, 2631, 555, 904, 9046, 315, 279, 6411, 627, 12, 98789, 527, 2631, 311, 387, 264, 19504, 315, 279, 3314, 315, 24097, 280, 12, 2893, 520, 3325, 17510, 19101, 320, 1691, 8, 1667, 315, 4325, 280, 12, 98789, 4985, 539, 617, 1027, 23959, 315, 904, 37723, 17193, 81670, 369, 264, 4751, 49005, 832, 320, 16, 8, 1060, 280, 12, 98789, 4985, 539, 5131, 387, 1234, 47960, 477, 2038, 369, 904, 9337, 17193, 81670, 555, 264, 4751, 49005, 832, 320, 16, 8, 1060, 280, 12, 86561, 539, 387, 5131, 279, 3917, 315, 904, 2015, 315, 9313, 280, 12, 86561, 539, 387, 264, 49184, 3486, 505, 12437, 280, 12, 86561, 539, 387, 459, 45522, 1217, 315, 477, 57727, 311, 13200, 477, 904, 14400, 20278, 323, 279, 32368, 706, 539, 1027, 264, 8893, 304, 264, 44438, 2068, 477, 70340, 369, 13200, 477, 14400, 20278, 11737, 477, 27471, 2949, 5899, 320, 605, 8, 1667, 505, 279, 2457, 315, 3851, 280, 12, 578, 32368, 706, 539, 1027, 23959, 315, 279, 17193, 315, 10043, 1234, 279, 10383, 315, 459, 72815, 519, 304, 420, 477, 904, 1023, 3314, 1403, 320, 17, 8, 477, 810, 3115, 2949, 5899, 320, 605, 8, 1667, 505, 279, 2457, 315, 3851, 323, 430, 7000, 315, 1778, 48015, 706, 10222, 2949, 4330, 320, 20, 8, 1667, 505, 279, 2457, 315, 3851, 477, 43901, 627, 12, 86561, 539, 617, 1027, 70280, 10297, 439, 10723, 64903, 26, 706, 539, 1027, 11411, 311, 477, 70340, 304, 264, 10723, 15244, 26, 706, 539, 1047, 264, 5590, 9732, 264, 11357, 859, 369, 279, 32368, 555, 2944, 315, 264, 10723, 23011, 26, 706, 539, 1027, 31752, 398, 11075, 311, 387, 8552, 555, 2944, 315, 264, 10723, 17563, 11, 4500, 28353, 477, 1023, 10723, 40968, 4107, 26, 323, 706, 539, 11, 2949, 8254, 320, 22, 8, 1667, 505, 279, 2457, 315, 3851, 11, 1027, 1766, 555, 264, 5590, 311, 17477, 459, 14247, 12190, 29736, 315, 6129, 11682, 11, 439, 4613, 304, 11106, 220, 1644, 11, 15957, 220, 21, 11, 3744, 220, 20, 11, 1606, 315, 10723, 17563, 280, 12, 86561, 539, 387, 459, 20167, 38484, 477, 39957, 3725, 304, 279, 3723, 4273, 280, 12, 86561, 539, 617, 1027, 57191, 505, 279, 42494, 30500, 1234, 12269, 263, 25745, 4787, 320, 73933, 263, 25745, 32643, 11, 3958, 6929, 32643, 477, 1023, 1109, 74590, 32643, 15957, 220, 9565, 15, 12, 17, 12, 20, 14863, 2437, 320, 20, 317, 12, 20636, 1027, 264, 22618, 315, 279, 3723, 4273, 11, 32177, 4985, 539, 617, 5790, 20018, 872, 33779, 280, 12, 86561, 539, 617, 1027, 23959, 315, 264, 59092, 9977, 315, 13018, 9349, 439, 4613, 304, 220, 972, 549, 815, 732, 885, 13, 220, 22536, 320, 1644, 317, 12, 86561, 539, 387, 12588, 3674, 4868, 28353, 7720, 555, 2944, 315, 13200, 44393, 11, 5623, 44393, 477, 10723, 28353, 26, 7436, 2059, 543, 539, 617, 1027, 23959, 315, 279, 17193, 315, 82895, 280, 5451, 11, 19545, 420, 2723, 1492, 24097, 3314, 8704, 13562, 7473, 13, 320, 1277, 1129, 8910, 516, 39718, 739, 77, 14489, 54660, 5618, 1935, 279, 892, 311, 733, 927, 1521, 11470, 389, 1268, 499, 649, 4254, 369, 701, 24097, 1614, 6920, 11810, 13, 1226, 1456, 311, 2567, 420, 2199, 709, 4791, 18920, 439, 502, 2038, 18911, 5196, 627, 2746, 420, 374, 701, 1176, 4034, 311, 279, 32023, 16406, 11, 499, 61975, 1518, 2555, 1093, 420, 512, 3461, 279, 8704, 13562, 3700, 45803, 5769, 320, 16, 8, 323, 78131, 279, 12506, 1920, 320, 17, 997, 12805, 499, 4254, 11, 1234, 279, 8704, 13562, 3700, 45803, 5769, 11, 3373, 21194, 369, 264, 8704, 13562, 63842, 81739, 627, 12805, 499, 3810, 701, 2038, 11, 499, 690, 5371, 459, 3851, 1396, 323, 20109, 1396, 627, 12289, 467, 701, 220, 24, 477, 220, 605, 16099, 60337, 1396, 13, 1115, 374, 1268, 584, 19570, 449, 279, 20804, 53, 369, 422, 499, 5946, 279, 3388, 13, 1442, 499, 656, 539, 3810, 420, 1396, 389, 279, 1879, 5352, 1376, 477, 3810, 433, 44447, 11, 499, 690, 617, 311, 312, 12, 10492, 323, 2160, 731, 279, 3388, 1603, 499, 649, 5371, 701, 6920, 11810, 627, 38255, 311, 8704, 52921, 198, 2028, 29438, 311, 8704, 52921, 32653, 4967, 538, 690, 4639, 279, 6913, 6677, 11, 7512, 323, 19451, 5995, 369, 41377, 323, 1701, 264, 57905, 21676, 13, 763, 5369, 11, 420, 538, 706, 1027, 6319, 439, 264, 832, 10539, 19101, 449, 279, 33315, 11, 902, 3445, 279, 538, 374, 539, 2631, 311, 1833, 264, 33956, 18909, 11, 323, 649, 5357, 477, 923, 311, 5789, 315, 1205, 439, 2631, 555, 279, 4236, 627, 12, 8704, 13562, 33025, 612, 23088, 11850, 198, 12, 3383, 34686, 6677, 198, 12, 13492, 78114, 315, 57905, 10658, 198, 12, 34459, 16842, 61881, 198, 12, 3861, 67454, 91477, 16543, 198, 12, 28929, 612, 6952, 19721, 11, 60565, 612, 86047, 198, 2028, 538, 374, 6319, 369, 279, 1274, 449, 1633, 2697, 311, 912, 6677, 315, 99636, 11, 477, 1884, 889, 527, 1667, 704, 315, 6725, 323, 1390, 264, 1695, 2098, 86524, 3388, 13, 578, 1176, 6596, 315, 279, 538, 374, 7543, 304, 279, 24978, 25394, 279, 2204, 4595, 315, 99636, 323, 1268, 311, 3790, 1124, 21676, 11, 37768, 323, 8811, 22124, 11, 323, 279, 57940, 315, 57905, 10658, 627, 791, 2132, 6596, 374, 7543, 389, 279, 2134, 11, 3815, 5150, 10658, 449, 264, 8205, 315, 16766, 11, 12146, 555, 279, 33315, 311, 5052, 279, 32671, 13, 578, 32874, 315, 30031, 11, 14254, 6945, 11, 323, 8346, 2585, 527, 46728, 311, 35608, 2450, 279, 1176, 892, 704, 13, 4740, 27666, 420, 538, 11, 279, 32671, 690, 387, 3025, 311, 21676, 1005, 279, 2134, 2085, 38217, 627, 1135, 20101, 315, 37768, 13, 8650, 1587, 539, 2997, 37768, 719, 649, 387, 4183, 3196, 389, 22698, 315, 5575, 2391, 3388, 13, 2360, 19161, 82, 1389, 17367, 18124, 3149, 8442, 12340 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 5159, 220, 17, 303, 1938, 520, 9419, 87, 768, 574, 264, 64783, 19703, 315, 8492, 69, 3104, 39535, 13, 1952, 430, 1938, 358, 9152, 311, 7142, 264, 5743, 315, 502, 16097, 439, 1664, 439, 4034, 279, 13656, 315, 16097, 430, 527, 2736, 810, 9749, 389, 279, 3157, 13, 1102, 574, 1101, 264, 2766, 16627, 9523, 311, 13739, 323, 4455, 4737, 2035, 304, 10017, 3130, 13, 1628, 37798, 9523, 311, 459, 11714, 6574, 449, 5277, 323, 507, 11253, 1335, 23488, 1274, 323, 14177, 449, 25566, 5697, 13, 220, 18, 6634, 1938, 574, 539, 1524, 832, 2766, 2753, 7185, 13, 1102, 574, 1101, 856, 1620, 1938, 1070, 627, 34212, 220, 18, 1389, 220, 17, 303, 315, 5936, 198, 2181, 574, 264, 40798, 7884, 449, 264, 2766, 315, 264, 6693, 37401, 13, 1666, 5246, 439, 358, 11721, 520, 393, 90514, 445, 2259, 2577, 426, 37489, 1405, 578, 32498, 574, 7559, 11, 856, 7504, 1051, 15910, 311, 279, 10017, 3130, 13, 9062, 1938, 279, 6762, 574, 8736, 520, 220, 605, 25, 966, 323, 389, 430, 1938, 433, 574, 1101, 279, 6596, 315, 279, 1176, 1567, 304, 54406, 2411, 13, 358, 4934, 311, 9604, 264, 31678, 25891, 25, 1054, 3648, 59189, 95597, 25, 362, 5899, 57188, 10506, 11, 220, 1049, 21, 311, 220, 679, 20, 863, 323, 279, 19114, 369, 433, 574, 8096, 37863, 11, 889, 6244, 11495, 9523, 311, 813, 2363, 1054, 37, 4193, 95597, 315, 279, 4435, 863, 430, 1690, 315, 603, 2980, 264, 67443, 61301, 1475, 22535, 372, 9265, 1288, 617, 13, 358, 2751, 264, 6140, 311, 3449, 4491, 37863, 279, 11714, 1603, 2391, 279, 6574, 449, 49746, 689, 17882, 7826, 4935, 13, 1226, 15243, 264, 2766, 11, 48501, 1057, 2626, 7563, 13, 1628, 499, 1440, 1148, 30, 1115, 2751, 757, 100174, 1606, 994, 358, 6688, 856, 3786, 311, 4491, 37863, 568, 55841, 1054, 64938, 380, 304, 279, 55085, 30, 358, 1440, 889, 499, 527, 11, 358, 1833, 701, 5117, 863, 323, 358, 6612, 17235, 2854, 38759, 13, 3161, 430, 304, 856, 4059, 433, 574, 1524, 11493, 17069, 311, 9020, 311, 813, 31678, 627, 16397, 813, 8982, 4491, 37863, 8774, 9204, 603, 5370, 27223, 449, 8508, 95597, 71974, 304, 2204, 5627, 13, 5629, 832, 10666, 2860, 1396, 315, 8508, 95597, 1990, 220, 1049, 21, 323, 220, 679, 20, 18255, 1139, 8954, 11, 8762, 323, 6222, 8508, 95597, 13, 423, 19184, 12391, 430, 279, 3392, 315, 8762, 323, 8954, 8508, 95597, 374, 44649, 520, 264, 2853, 315, 7859, 1396, 315, 653, 76353, 33935, 13, 9479, 9676, 574, 264, 20326, 315, 8508, 95597, 18255, 1139, 11306, 1778, 439, 81098, 1370, 69, 3471, 648, 11, 34899, 11, 22535, 372, 388, 11, 28948, 323, 22535, 3471, 552, 13, 578, 2800, 1903, 264, 5357, 389, 56227, 8689, 323, 1207, 2269, 60004, 13, 5046, 3388, 279, 1925, 17102, 574, 430, 279, 3392, 315, 67443, 38175, 824, 1060, 374, 10671, 17235, 1579, 719, 4184, 311, 4491, 37863, 1070, 527, 2103, 5151, 430, 649, 387, 4726, 36131, 11, 1778, 439, 93032, 477, 93032, 12556, 10020, 1156, 812, 369, 3187, 13, 22172, 9508, 84461, 1534, 555, 813, 25429, 7556, 459, 520, 279, 842, 568, 4036, 1403, 20101, 315, 64626, 13, 2876, 14792, 520, 682, 11, 433, 574, 264, 2294, 31678, 627, 4699, 311, 22843, 1063, 810, 67443, 11, 358, 30418, 58763, 24551, 320, 791, 72548, 3972, 7023, 20898, 8, 323, 584, 4024, 311, 7142, 810, 1156, 812, 13, 1226, 10717, 555, 264, 36506, 315, 279, 6883, 7086, 23886, 17326, 11, 29123, 555, 872, 4382, 11, 48494, 323, 26861, 16893, 2955, 13, 1226, 617, 86798, 220, 21, 315, 872, 22535, 19131, 323, 311, 856, 13051, 1389, 358, 15262, 872, 24195, 1553, 279, 1455, 4999, 5159, 1828, 3009, 574, 1398, 30532, 294, 529, 1688, 68249, 11, 264, 502, 6883, 430, 574, 1120, 4316, 10831, 520, 220, 23, 339, 14002, 315, 9419, 87, 768, 13, 2435, 11721, 520, 279, 28099, 19167, 449, 220, 18, 8508, 95597, 11, 14948, 555, 220, 18, 2204, 44948, 1543, 69792, 13, 386, 1339, 265, 72353, 324, 1291, 574, 682, 922, 279, 11401, 323, 574, 10171, 311, 95263, 279, 15034, 14356, 13, 578, 41466, 315, 81460, 11, 348, 822, 10145, 11, 33633, 11, 3167, 74, 323, 453, 80660, 5919, 574, 56085, 315, 97103, 264, 6883, 502, 323, 4335, 13354, 430, 706, 1120, 1027, 11245, 291, 13, 386, 1339, 265, 921, 12119, 325, 324, 13656, 369, 264, 72619, 59775, 323, 279, 67443, 50737, 315, 16603, 11, 18012, 323, 594, 1354, 13, 578, 1620, 832, 574, 386, 1339, 265, 11186, 64, 484, 1291, 11, 279, 17293, 7218, 1389, 279, 67443, 574, 73624, 11, 24670, 1094, 323, 264, 2766, 4335, 323, 1047, 430, 15206, 46258, 2515, 4999, 12487, 358, 6773, 430, 358, 1390, 311, 1456, 279, 8508, 95597, 555, 96664, 1286, 2009, 21152, 783, 13, 96664, 1286, 5678, 1511, 311, 387, 459, 12360, 304, 34596, 11, 1243, 568, 574, 1101, 11486, 7060, 100049, 323, 9024, 30668, 13, 38274, 568, 99507, 1139, 22535, 372, 727, 2115, 323, 439, 459, 19077, 568, 3940, 311, 4048, 13, 17830, 568, 11887, 264, 67443, 4526, 13, 358, 574, 5115, 1554, 23257, 555, 813, 445, 529, 36, 2933, 2522, 438, 1604, 817, 11, 902, 574, 264, 4856, 14265, 323, 86282, 6651, 315, 15286, 261, 974, 11, 18012, 323, 6445, 461, 372, 13, 2030, 433, 574, 4953, 1923, 460, 11, 279, 7019, 67, 727, 22843, 315, 65042, 11, 80836, 323, 1023, 8554, 430, 574, 1633, 1790, 1093, 264, 74683, 11, 430, 574, 264, 13946, 369, 757, 627, 6107, 30488, 1070, 574, 264, 36506, 315, 38243, 32744, 1141, 56057, 13, 358, 617, 2322, 1077, 369, 279, 1176, 892, 4376, 264, 1060, 6931, 520, 21823, 72, 304, 48606, 11, 1364, 27569, 757, 505, 1203, 1243, 13, 358, 574, 11784, 311, 264, 502, 4526, 7086, 356, 10670, 288, 31706, 315, 220, 17, 1156, 812, 18534, 5144, 315, 39551, 4978, 323, 18145, 16080, 13, 11995, 86798, 1633, 19018, 311, 856, 19689, 11, 814, 1047, 264, 2763, 315, 281, 2234, 2301, 323, 90030, 13, 19173, 279, 8508, 95597, 1051, 8220, 1633, 20193, 1603, 9419, 87, 768, 323, 279, 45892, 527, 2103, 304, 279, 9155, 21597, 1920, 779, 1070, 1051, 912, 10688, 2561, 11, 7344, 358, 690, 636, 1124, 3010, 627, 31082, 11, 1306, 358, 617, 1903, 264, 5743, 315, 20101, 1828, 311, 872, 2559, 389, 3766, 2919, 323, 433, 574, 2744, 13326, 11, 358, 2751, 18069, 311, 1522, 1828, 311, 83440, 2192, 2559, 994, 433, 574, 12309, 11594, 1070, 13, 2468, 279, 2559, 358, 2322, 279, 22535, 3471, 11937, 11, 37048, 55034, 83440, 2192, 889, 6222, 449, 757, 279, 3649, 315, 1077, 5652, 9886, 13, 2100, 1981, 1364, 706, 2884, 459, 78073, 67443, 1389, 507, 664, 3804, 40043, 430, 8336, 264, 1972, 78073, 5707, 505, 62138, 320, 652, 7725, 520, 220, 972, 11, 931, 38188, 611, 21647, 8, 3005, 35526, 433, 449, 5655, 11, 6453, 16392, 11, 829, 544, 2298, 323, 1023, 49659, 13, 3277, 499, 6865, 430, 499, 1176, 1781, 430, 433, 3250, 1431, 22843, 18699, 1606, 1070, 527, 264, 5743, 78073, 489, 16392, 489, 829, 544, 2298, 22535, 19131, 704, 1070, 13, 59121, 757, 11, 507, 664, 3804, 40043, 374, 5922, 279, 1456, 439, 358, 1505, 433, 2216, 6366, 13, 578, 56227, 574, 10666, 304, 264, 502, 16893, 439, 1664, 439, 304, 264, 3361, 10095, 2171, 304, 902, 264, 16893, 706, 264, 8824, 315, 220, 5154, 16116, 323, 4131, 449, 264, 74815, 481, 2678, 1344, 23184, 627, 12487, 358, 2322, 55629, 1578, 889, 574, 34227, 9451, 287, 2212, 9419, 87, 768, 22150, 2163, 323, 1314, 1606, 1884, 1051, 1077, 1566, 4207, 11, 1364, 574, 2133, 1203, 2162, 304, 4216, 13658, 389, 7884, 13, 1226, 27851, 14407, 1148, 584, 617, 6818, 11, 1148, 584, 15262, 323, 6688, 1855, 1023, 1063, 28782, 389, 1148, 574, 5922, 6666, 627, 12487, 358, 1903, 433, 311, 4275, 8458, 6383, 2727, 556, 7948, 811, 2559, 3131, 1578, 311, 10512, 872, 24415, 2559, 10409, 449, 6366, 19837, 13, 358, 1101, 27851, 10717, 555, 45721, 3838, 315, 8560, 1347, 372, 2559, 719, 814, 1051, 13326, 323, 1047, 4400, 502, 779, 358, 3287, 1431, 20753, 311, 3868, 627, 69656, 94916, 64, 36823, 458, 574, 856, 1828, 3009, 13, 4740, 358, 2216, 11299, 369, 2009, 95514, 1566, 1060, 358, 8774, 13598, 502, 2574, 505, 420, 6883, 13, 1115, 3280, 814, 617, 11887, 432, 25888, 24082, 5781, 11, 14948, 555, 49971, 61122, 1141, 32692, 11857, 12, 13546, 13, 1115, 67443, 1047, 264, 1633, 6307, 8736, 56085, 315, 4018, 16763, 323, 6693, 67532, 13, 578, 56227, 1101, 52924, 220, 18, 2204, 16392, 7718, 32462, 13, 1102, 1047, 264, 17189, 47811, 430, 374, 8659, 5922, 24919, 627, 4054, 315, 279, 1455, 25366, 13656, 520, 9419, 87, 768, 574, 832, 315, 5907, 14094, 797, 3536, 13, 8595, 30, 9393, 433, 574, 264, 2447, 9405, 505, 11093, 8603, 315, 9084, 95674, 61122, 51628, 414, 11, 4323, 4458, 57284, 268, 323, 4488, 426, 2249, 783, 13, 9062, 315, 1124, 3549, 832, 56227, 13, 19173, 358, 3287, 1431, 636, 311, 22843, 1124, 13, 358, 1781, 358, 574, 2109, 14630, 291, 555, 279, 14192, 1918, 315, 264, 16893, 13, 12623, 358, 4344, 832, 315, 1884, 889, 1541, 1431, 1833, 279, 45990, 315, 264, 22535, 3471, 836, 13, 1666, 1317, 439, 358, 1093, 1148, 358, 22843, 11, 358, 1541, 1431, 2216, 2512, 889, 24306, 433, 627, 2170, 433, 574, 3794, 12401, 311, 279, 842, 315, 279, 1938, 358, 8774, 10374, 2753, 892, 520, 1855, 2559, 304, 2015, 311, 1304, 439, 1690, 21728, 439, 3284, 13, 1789, 264, 2478, 4520, 358, 10717, 555, 264, 3113, 315, 10637, 220, 4645, 20, 11, 889, 1047, 264, 17755, 520, 3766, 9419, 87, 768, 13, 1115, 1060, 279, 3838, 10666, 7572, 13131, 329, 13, 1666, 11497, 555, 8096, 3744, 283, 1557, 1389, 6883, 19533, 11, 7572, 13131, 329, 374, 14948, 555, 279, 1633, 1176, 21735, 304, 701, 2324, 13, 362, 67443, 63526, 279, 4647, 73, 6491, 12970, 14902, 449, 264, 22843, 315, 264, 24529, 42365, 323, 7878, 48351, 8554, 627, 2170, 961, 315, 1057, 16163, 1464, 584, 4460, 1063, 7878, 3805, 369, 1057, 39019, 97814, 11, 779, 3871, 449, 25566, 5697, 323, 58763, 24551, 584, 6773, 311, 11894, 603, 1063, 3691, 11, 11033, 323, 733, 4994, 13, 1226, 7846, 1431, 2503, 1314, 4994, 279, 4974, 1606, 279, 22843, 315, 34576, 574, 2288, 19428, 13, 48600, 389, 279, 67292, 315, 578, 32498, 1070, 574, 264, 2678, 6246, 1389, 264, 2478, 3995, 12690, 11, 1063, 7878, 6307, 16763, 323, 23162, 79509, 1389, 1120, 3403, 369, 603, 13, 1226, 14333, 1057, 15496, 11, 1047, 264, 2478, 15526, 14269, 323, 3952, 264, 5743, 315, 7397, 3871, 13, 5112, 584, 3782, 1203, 304, 11, 25566, 5697, 6052, 311, 1077, 36506, 323, 58763, 24551, 323, 358, 8738, 1057, 27501, 627, 1688, 55535, 555, 279, 1633, 38291, 1427, 315, 279, 27474, 584, 6773, 311, 3009, 555, 323, 22843, 279, 33935, 315, 423, 8115, 14433, 1088, 4366, 69, 3471, 648, 13, 578, 8508, 95597, 1047, 264, 1633, 38291, 22843, 311, 1124, 11, 814, 1051, 9257, 323, 11646, 11, 2884, 2085, 30485, 13, 9062, 56227, 574, 52258, 304, 264, 6366, 16893, 449, 3776, 44979, 447, 12616, 2107, 430, 389, 1202, 1948, 574, 37109, 449, 832, 315, 4330, 97549, 315, 49459, 423, 8115, 627, 8140, 1828, 3009, 574, 520, 53618, 3074, 38538, 2436, 264, 6883, 430, 1047, 5370, 2574, 304, 872, 3085, 13, 2468, 1176, 584, 86798, 1633, 1579, 4367, 52305, 11, 1855, 12514, 311, 264, 2204, 3280, 13, 7570, 555, 97103, 279, 9168, 5405, 1557, 499, 1436, 3371, 430, 279, 56227, 304, 279, 38899, 374, 2216, 3831, 13, 5112, 584, 7882, 389, 311, 22843, 220, 19, 4443, 8508, 95597, 13, 2435, 1051, 1101, 2216, 17104, 323, 814, 1047, 2555, 2204, 311, 3085, 13, 17830, 584, 1101, 6818, 3130, 41466, 3722, 4312, 505, 872, 3085, 323, 1884, 1101, 3287, 1431, 14429, 627, 12487, 584, 6818, 452, 7211, 16711, 505, 46211, 1468, 269, 12252, 13, 1102, 574, 264, 86282, 20955, 315, 65042, 323, 18012, 449, 264, 4856, 1554, 70981, 8736, 10474, 13, 578, 16893, 374, 19018, 439, 279, 2107, 374, 9960, 449, 18327, 323, 4156, 315, 1855, 16893, 374, 37109, 449, 1063, 9168, 71624, 85368, 13, 13266, 48679, 527, 9435, 555, 1450, 23391, 430, 1855, 16893, 315, 452, 7211, 16711, 690, 1427, 2204, 13, 1102, 753, 264, 6555, 1648, 315, 3515, 264, 810, 35649, 2373, 315, 279, 41466, 11, 1524, 422, 499, 4250, 7041, 10383, 1268, 433, 690, 1427, 1093, 304, 279, 842, 90578, 5971, 584, 617, 6818, 11233, 64110, 46601, 25227, 346, 10175, 6473 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 56441, 279, 8219, 198, 8100, 753, 779, 18059, 11, 420, 33116, 15796, 12669, 11, 63232, 2465, 287, 304, 11506, 1619, 45188, 323, 26139, 520, 2294, 8286, 449, 1077, 10868, 4418, 3919, 520, 3061, 6605, 78, 16132, 18059, 13, 20636, 1120, 8667, 264, 5226, 430, 690, 2567, 279, 34821, 304, 2035, 520, 279, 9689, 1555, 220, 679, 17, 11, 33116, 706, 3719, 1524, 810, 665, 24410, 291, 304, 279, 3363, 449, 264, 502, 18059, 65524, 5609, 389, 279, 14827, 4418, 3919, 612, 33116, 8176, 11, 323, 555, 25694, 279, 41385, 27966, 87736, 27315, 25525, 315, 279, 9941, 10292, 311, 387, 10666, 520, 279, 452, 18066, 753, 5348, 612, 5929, 13131, 520, 12366, 16132, 18059, 304, 6186, 627, 791, 709, 69290, 78, 18059, 5609, 753, 2316, 2795, 433, 682, 11, 1054, 53, 15186, 10919, 2476, 323, 33116, 2795, 279, 26306, 690, 617, 9489, 5364, 867, 2171, 22867, 14535, 13, 1054, 10596, 704, 11, 67306, 323, 3451, 53, 10126, 16132, 18059, 23189, 19524, 1364, 1071, 449, 264, 12835, 3432, 2391, 264, 4641, 10652, 439, 1364, 574, 1054, 263, 856, 1648, 311, 990, 2029, 578, 502, 11325, 374, 4418, 3919, 612, 33116, 753, 1176, 4984, 2533, 220, 4468, 23, 11, 279, 1060, 814, 4018, 1054, 17400, 1251, 86956, 863, 323, 279, 45999, 369, 1054, 38, 2003, 529, 3623, 444, 6256, 2029, 578, 502, 8176, 574, 12715, 520, 33116, 753, 2162, 14356, 323, 374, 13847, 369, 4984, 304, 6664, 627, 2181, 1903, 5647, 311, 2997, 264, 18059, 1396, 11, 2728, 430, 33116, 374, 832, 315, 603, 1521, 2919, 627, 10378, 3604, 1097, 264, 16132, 63215, 2476, 33116, 1071, 13, 1054, 40, 3974, 1618, 11, 323, 584, 4934, 311, 656, 264, 5609, 922, 16132, 18059, 13, 1226, 617, 1063, 4113, 11936, 11, 1063, 14861, 13, 358, 7936, 264, 5743, 315, 4113, 11936, 13839, 11, 4418, 3919, 68341, 264, 5743, 315, 4113, 11936, 13839, 13, 1102, 374, 264, 1695, 6651, 2029, 578, 2316, 12775, 956, 3686, 1027, 6773, 19073, 13, 33116, 1101, 706, 12715, 1077, 1866, 8176, 315, 57314, 11936, 25891, 11, 330, 7184, 9930, 1226, 2052, 5751, 4359, 1359, 902, 690, 4668, 43516, 9863, 11, 2665, 17260, 323, 9246, 11, 4245, 520, 279, 842, 315, 279, 2305, 627, 2181, 5084, 439, 422, 4418, 3919, 612, 33116, 617, 1027, 3061, 6605, 78, 2010, 3817, 388, 3117, 5129, 1109, 1120, 220, 806, 4038, 11, 994, 814, 3940, 872, 1629, 520, 279, 9689, 596, 11670, 87235, 13, 2030, 279, 34821, 656, 2873, 10882, 439, 279, 1501, 706, 449, 52784, 279, 39621, 323, 7154, 41687, 279, 87235, 1855, 3814, 13, 1054, 40, 4344, 56501, 279, 3363, 11, 323, 433, 753, 14964, 11, 505, 279, 35999, 311, 1057, 4029, 304, 45677, 11, 323, 358, 4344, 6975, 264, 2763, 922, 279, 961, 315, 16132, 18059, 1274, 1541, 1431, 1518, 13, 2564, 4418, 3919, 323, 358, 7020, 584, 7070, 387, 3815, 2555, 3871, 1578, 11, 584, 7070, 15243, 922, 433, 369, 5115, 264, 2766, 315, 892, 11, 323, 584, 4934, 311, 387, 304, 264, 2035, 430, 9989, 43398, 1695, 11, 2653, 64992, 46276, 388, 11, 9454, 323, 91129, 323, 67306, 11, 1274, 1093, 430, 49216, 644, 430, 1920, 11, 279, 452, 18066, 16495, 33116, 311, 39580, 1077, 836, 311, 459, 7471, 430, 1047, 311, 1304, 5199, 15455, 304, 5687, 323, 45518, 927, 279, 3347, 3892, 4038, 627, 2170, 279, 452, 18066, 25525, 315, 279, 9941, 11, 33116, 15796, 12669, 29782, 1778, 3293, 5954, 461, 288, 439, 64489, 46172, 320, 1049, 16, 705, 921, 6388, 64210, 320, 1049, 17, 705, 10463, 921, 6073, 320, 1049, 18, 705, 356, 4939, 65157, 320, 1049, 19, 705, 9489, 5364, 867, 2171, 320, 1049, 20, 705, 72068, 48538, 1215, 320, 1049, 21, 705, 62253, 52698, 320, 1049, 22, 705, 12015, 61822, 666, 8035, 320, 1049, 23, 8, 323, 11, 1566, 1060, 11, 426, 6672, 14013, 1565, 13, 1952, 430, 1160, 11, 1193, 279, 27076, 2740, 294, 2715, 88, 52698, 11, 449, 1077, 84955, 53891, 311, 16132, 18059, 320, 32158, 7543, 1790, 315, 279, 3814, 315, 279, 220, 1049, 22, 5348, 612, 5929, 97580, 22797, 311, 279, 452, 18066, 439, 1054, 45, 5230, 2649, 4409, 87736, 56955, 706, 9508, 5986, 26831, 26451, 13, 23116, 4227, 11, 452, 18066, 7510, 11, 2737, 1080, 36927, 35336, 60700, 784, 2053, 11, 6773, 311, 1888, 363, 279, 25525, 315, 279, 9941, 16044, 389, 6630, 1302, 449, 5426, 11, 323, 1524, 6625, 11, 13633, 2410, 304, 459, 5149, 311, 33505, 264, 3177, 389, 279, 2883, 13, 1102, 8779, 11, 7995, 11, 430, 1521, 3278, 617, 10887, 389, 264, 14738, 5912, 8197, 304, 16132, 18059, 627, 10378, 574, 3169, 315, 3411, 520, 420, 1160, 11, 323, 499, 1427, 520, 1274, 1093, 64489, 46172, 11, 323, 1148, 459, 16044, 311, 387, 389, 264, 1160, 449, 1077, 2476, 33116, 1071, 13, 1054, 3112, 1455, 315, 1124, 11, 584, 4070, 3604, 6575, 449, 2029, 3082, 13, 4418, 3919, 612, 33116, 617, 1027, 93635, 449, 264, 49723, 3117, 87248, 4526, 315, 16924, 24699, 13, 3861, 315, 279, 810, 11890, 14269, 304, 4418, 3919, 612, 33116, 753, 1501, 520, 279, 3061, 6605, 78, 374, 994, 264, 97044, 315, 27203, 505, 872, 8205, 323, 3137, 5039, 374, 6476, 389, 279, 2466, 4264, 13, 578, 20441, 1160, 315, 1884, 889, 617, 9922, 449, 279, 10868, 1355, 1601, 1180, 2997, 3959, 72, 36194, 1394, 11, 12103, 3919, 612, 56207, 11, 23278, 45248, 63210, 11, 14103, 4618, 13131, 11, 14596, 18231, 11, 3441, 64519, 27205, 323, 328, 41262, 14588, 70, 627, 49977, 753, 539, 2737, 480, 583, 971, 28187, 2476, 33116, 3779, 13, 1054, 38, 583, 971, 28187, 1198, 568, 574, 304, 264, 54618, 11, 323, 568, 2103, 9160, 2454, 856, 31056, 49216, 12331, 648, 2795, 279, 25525, 315, 279, 9941, 43851, 374, 810, 264, 58738, 45036, 16044, 1109, 264, 22599, 315, 1077, 20697, 3993, 439, 264, 64682, 627, 10378, 4070, 2646, 1027, 264, 64682, 13, 8886, 499, 56825, 30, 14910, 499, 1518, 279, 1176, 9417, 315, 3451, 35, 9151, 3161, 279, 25676, 45258, 19524, 1364, 1071, 11, 32681, 1063, 810, 13, 1054, 40, 1097, 264, 2731, 64682, 1109, 4418, 3919, 11, 3582, 13, 358, 2733, 11, 422, 358, 1097, 2133, 311, 387, 1618, 11, 358, 1097, 2133, 311, 387, 19261, 704, 323, 10695, 1521, 48776, 11351, 323, 51371, 627, 35816, 527, 1063, 2216, 2294, 1274, 704, 1618, 11, 57843, 12671, 198, 2822, 3488, 13, 1666, 814, 2019, 11, 743, 433, 311, 4731, 627, 8161, 3919, 612, 33116, 527, 14836, 1022, 369, 264, 2478, 2919, 320, 23449, 505, 7418, 1555, 5033, 13, 220, 1187, 8, 369, 264, 8577, 311, 9635, 11, 1405, 814, 690, 17562, 11936, 505, 279, 502, 8176, 323, 5101, 304, 4156, 315, 459, 682, 54312, 273, 1347, 488, 10877, 369, 1054, 2127, 66000, 3161, 4418, 3919, 612, 33116, 863, 311, 387, 13195, 927, 279, 1828, 5743, 315, 4038, 389, 279, 8013, 4009, 94455, 16, 13, 4696, 8079, 753, 423, 40316, 1501, 574, 49723, 30571, 11, 439, 279, 46229, 2663, 709, 93635, 311, 7936, 1054, 34, 12350, 863, 449, 33116, 6656, 704, 311, 387, 459, 6666, 20624, 2827, 23747, 13824, 7086, 37373, 889, 32367, 4460, 311, 387, 83612, 1022, 33116, 439, 279, 1403, 6435, 84852, 13, 25929, 11, 1364, 4691, 1461, 11, 58134, 398, 11, 1054, 9241, 753, 856, 400, 1041, 11, 37373, 12671, 323, 37373, 3604, 45519, 1203, 93635, 449, 264, 400, 1041, 4121, 13, 3005, 3309, 1461, 311, 33009, 279, 3300, 311, 832, 315, 1077, 7075, 51371, 11, 279, 15394, 753, 77064, 8304, 13, 3053, 1431, 2019, 422, 420, 8741, 1475, 3814, 11, 477, 520, 682, 11, 719, 433, 574, 5128, 15526, 13, 4696, 13596, 4545, 10791, 25, 12220, 279, 5743, 753, 15612, 12744, 10449, 11, 4418, 3919, 2216, 4375, 813, 31056, 1022, 13, 1283, 10887, 264, 12903, 3351, 323, 11, 439, 33116, 68329, 11, 568, 7111, 1093, 279, 18366, 351, 822, 3090, 1501, 627, 23958, 505, 279, 17979, 11182, 198, 34, 50090, 40710, 71, 89105, 374, 10209, 264, 11191, 6412, 520, 1077, 9167, 315, 14599, 36136, 11, 279, 40710, 4783, 11, 520, 220, 8259, 23, 328, 13, 21115, 5955, 50541, 13, 17331, 7884, 11, 682, 3673, 527, 220, 1135, 3346, 1022, 13, 40710, 71, 89105, 11, 832, 315, 279, 56035, 315, 279, 9474, 323, 5629, 6740, 11, 1071, 1364, 11887, 279, 6412, 1606, 1054, 40, 4344, 1120, 4560, 311, 7068, 1063, 8070, 11, 1093, 16470, 775, 2029, 1442, 499, 9167, 1431, 12263, 320, 438, 1524, 422, 499, 617, 705, 279, 40710, 4783, 374, 1120, 6799, 449, 15234, 323, 70706, 27387, 3276, 8467, 11, 2737, 5115, 264, 2763, 315, 2362, 6593, 24198, 430, 1427, 5115, 42108, 719, 1304, 1695, 10652, 9863, 627, 11649, 11, 584, 5616, 617, 264, 22785, 54992, 13486, 5594, 7756, 49254, 389, 279, 35999, 13, 1102, 753, 28640, 36470, 11, 889, 11, 24895, 555, 264, 4526, 315, 682, 1474, 1604, 16101, 61583, 11, 1457, 1587, 264, 2539, 41238, 3972, 21455, 315, 54992, 13486, 753, 1054, 11126, 49113, 320, 19648, 264, 22249, 1952, 1102, 99382, 449, 459, 10877, 10039, 44057, 5818, 2316, 439, 7057, 13, 1115, 1396, 374, 21482, 672, 291, 3221, 279, 842, 315, 813, 1054, 43346, 1102, 3216, 863, 24601, 520, 578, 18732, 295, 1122, 11, 323, 433, 753, 14964, 627, 39, 15345, 264, 4106, 1450, 11, 578, 18732, 295, 1122, 706, 11838, 36470, 753, 53966, 1555, 6287, 220, 679, 15, 13, 36470, 1101, 374, 3552, 315, 279, 502, 2373, 315, 279, 1847, 1501, 1054, 10267, 753, 7557, 264, 27359, 863, 389, 24991, 7314, 5020, 13, 220, 20, 13, 72633, 36470, 20784, 389, 279, 2853, 39255, 10877, 690, 387, 264, 18336, 25959, 505, 279, 2919, 315, 9995, 88, 11166, 13, 3161, 36470, 11, 279, 3552, 2643, 636, 26435, 709, 11, 2288, 13, 1666, 54992, 13486, 11, 1524, 627, 34774, 3814, 11, 279, 11165, 1026, 374, 20256, 1202, 14013, 63666, 13120, 753, 18308, 4717, 11, 279, 7057, 315, 902, 374, 1054, 32, 62248, 753, 4673, 15404, 33540, 4058, 2029, 578, 282, 7870, 8638, 520, 220, 605, 281, 749, 13, 323, 14741, 527, 400, 1049, 311, 400, 5154, 13, 62248, 48374, 11, 477, 520, 3325, 264, 7056, 11, 527, 1071, 311, 387, 2631, 369, 4441, 13, 2206, 30, 358, 4344, 2133, 439, 37828, 426, 14210, 627, 8538, 220, 20253, 14825, 5030, 198, 2028, 82880, 456, 374, 961, 315, 279, 5513, 10449, 389, 18396, 753, 9417, 315, 220, 20253, 14825, 389, 18059, 6007, 320, 605, 25, 966, 281, 749, 2637, 39760, 34585, 5613, 220, 975, 997, 68932, 12365, 315, 1274, 520, 1514, 11, 264, 893, 889, 38484, 43335, 304, 264, 48270, 5795, 13217, 3634, 520, 48691, 5657, 389, 350, 45036, 3444, 17569, 323, 46707, 3023, 6825, 706, 1027, 12800, 449, 264, 6636, 315, 12079, 11217, 13, 362, 22010, 6406, 5657, 10289, 9640, 25735, 279, 1841, 3221, 279, 42715, 3158, 311, 3085, 264, 3451, 82630, 10163, 23189, 323, 420, 7564, 574, 1766, 311, 617, 92152, 304, 279, 1841, 13, 3092, 3488, 374, 11, 889, 5334, 77490, 555, 279, 5657, 10289, 13971, 30, 1226, 3207, 539, 7556, 922, 279, 72021, 4059, 1618, 13, 1115, 374, 279, 3169, 315, 1162, 6118, 29056, 555, 3451, 49, 12052, 220, 17000, 753, 529, 9640, 423, 4134, 13, 1115, 374, 279, 46141, 8510, 478, 1162, 315, 5076, 42761, 11, 5076, 7394, 2533, 7043, 1050, 392, 729, 6773, 311, 3719, 459, 6822, 4632, 9940, 49216, 14326, 3754, 505, 9995, 72, 9305, 14767, 198, 37, 18953, 18, 374, 8260, 369, 264, 53645, 315, 1054, 29518, 78964, 863, 3156, 279, 1501, 12716, 1203, 62253, 52698, 13, 2100, 3117, 11, 279, 1501, 706, 539, 7263, 1203, 62253, 52698, 627, 12763, 3842, 735, 1900, 321, 4512, 288, 389, 6405, 520, 23068, 916, 14, 88960, 42, 1900, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 28259, 220, 22, 11, 220, 679, 16, 198, 9619, 37733, 11, 41889, 13, 482, 578, 6295, 4410, 15217, 7460, 315, 279, 9941, 15341, 72093, 574, 279, 1176, 315, 11888, 3400, 3314, 8797, 37733, 4311, 39056, 11, 323, 279, 1176, 315, 2380, 47711, 311, 387, 4183, 304, 279, 11999, 4883, 315, 279, 220, 679, 16, 17559, 9130, 38258, 5629, 9941, 25640, 29664, 5762, 304, 1561, 4356, 505, 5651, 220, 21, 12, 23, 627, 791, 11888, 294, 15817, 30900, 2489, 279, 47711, 6, 31487, 7928, 10165, 538, 304, 2978, 3925, 13, 8797, 37733, 1101, 1047, 11888, 4311, 4529, 304, 220, 679, 15, 627, 91808, 1176, 84403, 323, 2163, 37240, 42070, 15341, 72093, 320, 81686, 21215, 11, 41889, 2637, 17816, 6985, 34514, 8, 574, 4183, 555, 279, 36918, 81511, 439, 279, 220, 9263, 267, 8244, 3820, 1120, 832, 7858, 3485, 27144, 1314, 2902, 8363, 32320, 35236, 320, 34, 869, 2259, 11, 41889, 2637, 63736, 2259, 34514, 8, 889, 574, 4529, 555, 279, 1561, 4356, 57535, 439, 279, 220, 9413, 303, 2851, 13, 31870, 1314, 2902, 8363, 2360, 68, 72093, 320, 37440, 9853, 12167, 11, 41889, 2637, 1708, 71, 3042, 969, 34514, 8, 8272, 520, 220, 10239, 11, 1694, 39056, 555, 279, 10406, 3816, 39645, 311, 4686, 279, 11999, 21691, 90203, 113588, 627, 91808, 1314, 37240, 42070, 33172, 20151, 19030, 320, 71553, 39395, 11, 41889, 2637, 82270, 3314, 8, 574, 4529, 555, 33225, 9332, 80775, 304, 4883, 4848, 320, 8848, 8244, 8, 323, 27144, 1314, 88, 40979, 507, 6, 39594, 320, 49, 1986, 579, 11, 41889, 11, 59796, 34514, 8, 6244, 279, 18172, 28547, 4529, 304, 279, 10165, 11, 459, 37477, 21691, 3820, 555, 279, 30781, 362, 596, 520, 220, 4146, 8244, 627, 1542, 688, 15258, 20101, 5946, 1603, 279, 1828, 28547, 2851, 574, 12146, 13, 578, 10780, 5929, 779, 87, 3952, 27144, 1314, 37240, 42070, 11517, 6168, 729, 6780, 320, 64248, 33238, 11, 41889, 2637, 18288, 4410, 9304, 8, 304, 279, 220, 914, 339, 4883, 449, 27144, 10007, 79, 675, 6941, 473, 1103, 8248, 320, 1128, 32089, 11, 41889, 2637, 74337, 13345, 9304, 482, 220, 1591, 339, 4883, 11, 19461, 8, 323, 27144, 100106, 261, 13142, 32618, 320, 6720, 13011, 11, 41889, 2637, 356, 618, 26675, 9304, 482, 220, 966, 339, 4883, 11, 36239, 8, 42295, 2574, 709, 389, 1938, 1403, 315, 279, 220, 1135, 21691, 6727, 1920, 13, 19903, 1314, 37240, 42070, 43670, 54521, 320, 6719, 74, 41234, 11, 41889, 2637, 18606, 372, 4978, 11188, 9304, 8, 574, 279, 1566, 28547, 4183, 389, 8079, 11, 2133, 220, 8929, 19, 8244, 304, 279, 220, 2491, 339, 4883, 311, 279, 17368, 25328, 25082, 627, 38075, 43942, 2052, 24145, 15919, 2851, 15341, 72093, 11, 889, 690, 4461, 387, 6646, 439, 264, 2361, 2851, 439, 264, 6721, 11, 4295, 662, 17335, 323, 6197, 279, 47711, 304, 2162, 8640, 320, 24, 8, 323, 54041, 320, 2491, 705, 13280, 320, 5538, 8, 1776, 36368, 30565, 20068, 8, 323, 2115, 287, 11668, 30565, 22992, 8, 304, 220, 679, 16, 627, 1548, 22126, 813, 12235, 1685, 2436, 449, 264, 25462, 5178, 505, 279, 23506, 11, 3339, 1461, 264, 66600, 992, 380, 369, 7427, 38258, 596, 18288, 3165, 12732, 17768, 13, 72093, 574, 264, 4832, 220, 845, 15548, 12, 845, 304, 3665, 10708, 323, 17791, 4846, 28547, 2052, 24145, 323, 4846, 2466, 10966, 2052, 39884, 43130, 356, 1382, 78, 439, 279, 47711, 6, 7076, 27024, 7808, 449, 220, 1958, 13, 1283, 8220, 279, 3280, 220, 16, 12, 16, 449, 264, 220, 17, 13, 1032, 45120, 304, 220, 1313, 27351, 389, 279, 73266, 627, 47, 484, 574, 2500, 24981, 1403, 27896, 2851, 369, 3400, 3314, 8797, 37733, 11, 2133, 220, 22, 12, 16, 449, 264, 220, 17, 13, 1591, 45120, 323, 264, 10017, 69475, 220, 5120, 90026, 11, 682, 279, 1418, 20129, 662, 15726, 449, 92405, 323, 220, 966, 8640, 293, 12400, 304, 13, 35236, 20276, 264, 220, 5120, 4791, 12, 1313, 320, 20, 4791, 12, 16, 8, 13471, 412, 4791, 2695, 1727, 11595, 927, 264, 2128, 69475, 220, 3264, 13, 17, 36100, 13, 1283, 2288, 11, 574, 709, 369, 264, 5426, 2851, 315, 279, 1060, 10292, 11, 279, 5165, 57665, 6629, 38258, 30504, 596, 10229, 596, 23373, 2650, 805, 17768, 13, 1283, 690, 387, 7111, 520, 15871, 439, 264, 42070, 627, 47, 484, 15662, 279, 1193, 28547, 3243, 304, 279, 3293, 8797, 37733, 26361, 449, 264, 65973, 88, 220, 23, 3502, 1251, 11, 220, 806, 5594, 41752, 412, 5178, 389, 279, 73266, 11, 323, 574, 220, 17, 15548, 12, 18, 449, 1403, 11151, 8768, 520, 279, 12235, 304, 279, 47711, 6, 16520, 36253, 2403, 19174, 627, 47, 484, 11, 4131, 505, 1695, 20075, 21389, 430, 706, 3970, 813, 7126, 11, 8096, 320, 17, 303, 4883, 704, 315, 1579, 2978, 705, 323, 813, 10868, 11, 40203, 320, 22, 339, 4883, 315, 279, 220, 1049, 21, 10165, 705, 8493, 892, 304, 279, 6721, 21467, 13, 40203, 11, 1101, 264, 4846, 28547, 11, 374, 304, 813, 26084, 3280, 304, 279, 5960, 13175, 30835, 7471, 323, 374, 5131, 3521, 6427, 520, 279, 37749, 6830, 2237, 449, 279, 82270, 2895, 95795, 627, 2028, 374, 279, 2132, 892, 23396, 657, 706, 1027, 39056, 13, 1283, 574, 1101, 264, 220, 1987, 339, 4883, 3820, 369, 15745, 1203, 304, 220, 1049, 23, 627, 2460, 7826, 343, 4410, 1176, 43942, 261, 2360, 68, 72093, 6197, 279, 47711, 449, 8223, 15160, 1418, 17437, 264, 1332, 26089, 1130, 220, 16, 13, 3076, 45120, 927, 220, 1954, 13, 17, 36100, 13, 578, 1314, 88, 17948, 704, 220, 6889, 293, 10385, 389, 279, 1060, 2047, 6427, 1461, 1139, 11999, 2035, 389, 279, 3400, 3314, 8797, 37733, 7076, 7054, 220, 605, 1160, 627, 791, 5246, 4791, 15502, 3816, 39645, 22199, 11, 72093, 11, 15243, 311, 41217, 916, 596, 18984, 37582, 77152, 4428, 389, 7742, 627, 12348, 574, 264, 65623, 8430, 11, 893, 1359, 72093, 1071, 922, 1694, 39056, 555, 10406, 627, 10227, 3816, 39645, 11, 433, 596, 264, 2294, 7471, 11, 2294, 14135, 11, 2294, 3925, 13, 358, 2846, 1972, 62454, 311, 387, 961, 315, 430, 1457, 627, 7189, 2103, 2733, 5128, 3958, 922, 1694, 34373, 510, 1527, 1566, 9178, 596, 34260, 26361, 1145, 1606, 358, 8659, 1047, 11493, 17078, 369, 1057, 2128, 13, 1102, 596, 11292, 11, 719, 420, 8659, 7263, 757, 709, 10246, 6153, 11961, 704, 264, 3280, 4245, 311, 34260, 8481, 5718, 11, 279, 1314, 2902, 8363, 20151, 19030, 20276, 264, 220, 21, 12, 18, 3335, 449, 1403, 27024, 304, 220, 777, 27351, 439, 2225, 264, 27795, 323, 59644, 424, 369, 279, 28547, 47541, 5687, 13, 362, 5426, 18824, 449, 82270, 3314, 304, 220, 1049, 23, 11, 20151, 19030, 1903, 3116, 9178, 8638, 369, 279, 47711, 304, 220, 679, 16, 11, 449, 813, 1455, 16358, 5108, 389, 5186, 13, 220, 16, 2403, 31613, 17200, 320, 23, 13, 15, 6933, 11, 220, 17, 473, 11, 220, 15, 432, 4390, 93387, 19030, 574, 264, 220, 1682, 339, 4883, 3820, 369, 17368, 1203, 304, 220, 679, 15, 627, 46, 6, 39594, 596, 20276, 264, 220, 22, 12, 18, 3335, 449, 264, 220, 17, 13, 2096, 45120, 323, 574, 4315, 279, 1888, 13471, 412, 311, 4321, 42338, 304, 279, 7140, 11, 21933, 704, 220, 2131, 323, 11689, 1120, 220, 23, 13, 1283, 1903, 220, 845, 27351, 449, 220, 717, 315, 1884, 5108, 439, 8638, 13, 763, 813, 3116, 16337, 27351, 11, 279, 326, 92916, 1314, 2902, 8363, 6656, 220, 806, 13, 16, 36100, 315, 5573, 1752, 36100, 2737, 264, 220, 20, 3502, 1251, 11, 220, 24, 5594, 41752, 412, 5149, 927, 31613, 16376, 32207, 389, 5186, 13, 845, 627, 20397, 3318, 1120, 220, 1691, 13, 17, 36100, 304, 220, 679, 16, 11, 6168, 729, 6780, 20276, 264, 220, 17, 12, 15, 3335, 449, 1403, 27024, 220, 868, 27351, 13, 1283, 17948, 704, 220, 1627, 323, 15203, 220, 23, 627, 39, 1103, 8248, 11, 264, 220, 1758, 339, 21691, 10165, 3820, 369, 19461, 1203, 304, 220, 1049, 24, 11, 574, 220, 17, 12, 16, 449, 264, 220, 19, 13, 2318, 45120, 304, 220, 605, 27351, 369, 279, 47711, 304, 220, 679, 16, 13, 5414, 1888, 65281, 315, 279, 1060, 19543, 304, 813, 1176, 3243, 11, 264, 220, 20, 3502, 1251, 11, 220, 18, 70201, 1212, 520, 28621, 389, 2947, 13, 220, 1544, 627, 51, 5515, 574, 39056, 369, 279, 4948, 892, 304, 813, 95797, 7076, 389, 7742, 13, 1283, 574, 264, 220, 1114, 339, 4883, 3820, 555, 16759, 304, 220, 1049, 24, 323, 459, 220, 23, 339, 4883, 3820, 555, 10780, 320, 984, 8, 304, 220, 679, 15, 1418, 520, 356, 618, 26675, 9304, 13, 1283, 574, 279, 18254, 4948, 84403, 369, 8797, 37733, 279, 1176, 4376, 315, 279, 3280, 1603, 264, 13824, 349, 1481, 606, 11134, 99048, 1461, 279, 2800, 315, 279, 1648, 627, 51, 5515, 293, 12400, 1120, 662, 15574, 449, 912, 2162, 8640, 323, 11888, 54041, 304, 220, 1627, 3953, 627, 39, 944, 38322, 2231, 709, 6573, 5219, 704, 315, 279, 82755, 420, 1060, 369, 279, 47711, 11, 2133, 220, 18, 12, 15, 1418, 17437, 279, 2128, 596, 1888, 45120, 520, 220, 16, 13, 1806, 927, 220, 972, 27351, 13, 578, 1314, 2902, 8363, 1550, 539, 2187, 264, 1629, 927, 813, 1620, 8254, 27351, 320, 22, 13, 15, 6933, 8, 323, 3287, 956, 2187, 810, 1109, 832, 1629, 304, 904, 315, 813, 96727, 304, 220, 679, 16, 627, 679, 16, 3400, 3314, 8797, 37733, 423, 15817, 30900, 198, 31456, 72093, 482, 36918, 11, 220, 19, 339, 4883, 11, 220, 9263, 8244, 198, 100224, 35236, 482, 1561, 4356, 57535, 11, 220, 19, 339, 4883, 11, 220, 9413, 8244, 198, 2822, 68, 72093, 482, 10406, 11, 220, 19, 339, 17535, 11, 220, 10239, 8244, 198, 95336, 20151, 19030, 482, 33225, 9332, 11, 220, 21, 339, 4883, 11, 220, 8848, 8244, 198, 6255, 258, 507, 6, 39594, 482, 30781, 11, 220, 23, 339, 4883, 11, 220, 4146, 8244, 198, 32978, 6168, 729, 6780, 482, 10780, 5929, 39645, 11, 220, 914, 339, 4883, 11, 220, 24876, 8244, 198, 23083, 473, 1103, 8248, 482, 19461, 11, 220, 1591, 339, 4883, 11, 220, 25862, 8244, 198, 41444, 32618, 482, 36239, 11, 220, 966, 339, 4883, 11, 220, 21910, 8244, 198, 30287, 12669, 54521, 482, 17368, 11, 220, 2491, 339, 4883, 11, 220, 8929, 19, 8244 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 16323, 30558, 17043, 23435, 449, 23166, 552, 198, 14235, 5447, 753, 24208, 3782, 304, 2077, 311, 459, 9678, 69543, 4007, 44224, 555, 279, 19174, 31562, 8925, 11, 3156, 1364, 3940, 3794, 4641, 6880, 505, 1274, 889, 1051, 8173, 304, 279, 8712, 13, 15281, 810, 922, 279, 5234, 45642, 87529, 33442, 11, 433, 374, 3284, 311, 5944, 311, 1023, 34471, 1093, 1561, 4356, 4409, 323, 6457, 369, 264, 12190, 3805, 23920, 2853, 13, 56619, 311, 3243, 520, 9633, 12933, 2930, 3723, 4273, 78004, 13375, 264, 2851, 10795, 311, 1518, 1268, 1664, 4311, 7095, 1521, 25725, 5220, 11, 304, 902, 1162, 499, 4070, 6924, 220, 508, 6439, 13, 21115, 33321, 2586, 304, 2204, 71182, 323, 814, 527, 9076, 311, 502, 323, 6484, 3697, 439, 36580, 311, 5249, 279, 12109, 323, 4822, 4642, 11, 499, 1101, 1205, 311, 387, 2771, 430, 499, 656, 539, 5326, 13490, 701, 19523, 1046, 1656, 13, 8494, 1949, 281, 31918, 602, 1093, 311, 923, 85927, 311, 259, 49760, 323, 12269, 53984, 369, 21258, 11, 832, 315, 279, 1455, 3062, 2574, 430, 499, 1288, 1440, 1603, 499, 1212, 5737, 16087, 374, 430, 279, 1847, 374, 32227, 3196, 389, 6140, 13, 2684, 753, 912, 8187, 311, 636, 3940, 323, 912, 6696, 12718, 11, 477, 8774, 39380, 520, 279, 14242, 3221, 2343, 17144, 311, 1650, 304, 279, 3135, 13, 1472, 527, 2631, 311, 1514, 704, 832, 315, 279, 6859, 6206, 311, 9954, 1603, 499, 1514, 279, 1023, 11, 1268, 1790, 264, 9633, 5780, 64859, 19307, 3786, 3953, 5636, 1690, 810, 13, 220, 1041, 4, 12306, 389, 701, 1176, 16946, 627, 3947, 527, 21577, 315, 31743, 323, 10631, 2930, 25, 505, 1268, 1317, 433, 5097, 311, 8579, 44790, 459, 19151, 11, 433, 753, 892, 311, 1212, 5737, 264, 34948, 79526, 56609, 90904, 1847, 13, 9062, 2851, 374, 27023, 8254, 7563, 11, 682, 279, 1648, 1555, 311, 11112, 6908, 36027, 98767, 13, 2030, 279, 1925, 3245, 374, 499, 2019, 3451, 2688, 856, 690, 719, 270, 483, 387, 2884, 23189, 477, 3451, 2688, 856, 690, 11, 264, 58249, 281, 31918, 308, 2332, 11668, 471, 810, 44780, 4311, 527, 1101, 665, 16608, 369, 1520, 311, 3568, 449, 36033, 25725, 13, 3234, 499, 1440, 1148, 9070, 568, 753, 389, 11, 304, 1521, 24674, 3115, 13, 3161, 1778, 264, 1579, 23354, 11, 279, 4320, 1253, 539, 387, 779, 4382, 13, 1789, 4311, 505, 14990, 430, 3021, 5737, 2007, 3953, 11, 1070, 374, 912, 86205, 13, 3234, 539, 2733, 54117, 311, 1514, 49211, 11, 927, 220, 1041, 15, 13, 362, 955, 315, 26243, 1887, 902, 11, 814, 3207, 6118, 539, 10565, 449, 279, 1890, 220, 966, 3346, 3691, 2853, 430, 753, 9435, 311, 279, 2800, 315, 279, 3691, 13, 2684, 527, 1690, 7033, 29862, 430, 1274, 1005, 11, 8631, 12862, 323, 13, 1283, 5900, 555, 26952, 76, 12251, 389, 279, 39487, 315, 18059, 25907, 11, 1888, 315, 682, 13, 1226, 527, 539, 8010, 520, 420, 892, 315, 279, 5150, 5353, 315, 813, 4648, 11, 264, 2294, 1648, 311, 8895, 1063, 3217, 13, 6104, 279, 20930, 7410, 1253, 387, 43848, 11, 279, 7224, 814, 617, 6575, 389, 477, 279, 990, 814, 527, 5131, 3815, 627, 24901, 11, 264, 58249, 9633, 5780, 59616, 15013, 24076, 99590, 690, 66193, 709, 701, 1938, 449, 264, 18406, 6727, 315, 5526, 11033, 21662, 13, 3861, 1620, 3245, 499, 1288, 2980, 374, 3794, 1063, 7294, 8437, 17402, 323, 7294, 1355, 3368, 1698, 3241, 422, 499, 1541, 1431, 2736, 617, 1063, 304, 2035, 11, 66521, 13, 22938, 304, 420, 5064, 11, 272, 680, 14912, 3394, 13, 578, 955, 315, 12306, 430, 499, 1288, 1935, 14117, 1633, 1790, 389, 1268, 499, 1093, 311, 1514, 2930, 3953, 11, 323, 7446, 7172, 60874, 13, 2435, 11383, 2586, 449, 12109, 11549, 27120, 11, 597, 43783, 304, 43235, 33050, 1860, 409, 87653, 21127, 31922, 3861, 72035, 496, 1352, 1291, 1794, 3930, 13728, 85048, 64, 17053, 1651, 39705, 41600, 6634, 301, 9292, 1344, 2473, 38424, 403, 1906, 77, 1013, 12222, 70, 26498, 45970, 9292, 4491, 7997, 13, 4452, 11, 499, 1541, 1431, 617, 311, 1514, 264, 3738, 1847, 369, 4207, 311, 2867, 279, 8670, 323, 649, 15142, 701, 87449, 4661, 22571, 627, 50342, 3394, 58916, 1389, 11697, 84419, 25117, 315, 8267, 23166, 552, 198, 791, 45858, 690, 387, 3779, 220, 605, 824, 1938, 369, 220, 605, 2919, 11, 439, 499, 6118, 842, 709, 22019, 2403, 1855, 1023, 13, 13673, 281, 31918, 308, 2332, 11668, 471, 499, 649, 1101, 636, 264, 5951, 505, 3060, 2035, 311, 98475, 63501, 5951, 8216, 304, 34449, 12825, 2192, 11, 13944, 21115, 1903, 757, 8010, 315, 1063, 3361, 6209, 430, 1051, 2561, 13, 3296, 33577, 23139, 22620, 11, 12283, 1053, 1205, 311, 2216, 617, 279, 23099, 311, 1935, 264, 30031, 389, 1603, 814, 3240, 17843, 872, 6105, 1148, 814, 78495, 374, 1314, 9002, 279, 55867, 13, 5112, 994, 279, 24073, 892, 369, 279, 16520, 374, 927, 279, 4311, 527, 21682, 4184, 311, 1268, 1790, 814, 1047, 2834, 323, 1243, 279, 22643, 7463, 374, 18255, 24059, 1124, 28178, 11, 279, 2326, 18355, 12109, 323, 2930, 25725, 2626, 4822, 36301, 13, 23674, 11, 323, 4311, 1288, 58389, 279, 37064, 13, 578, 1121, 25, 1403, 9863, 315, 13354, 11096, 555, 264, 27494, 11, 2737, 6883, 502, 16087, 13, 1115, 304, 2543, 690, 9504, 1690, 502, 6444, 11, 3974, 12109, 3953, 323, 26128, 79, 2469, 13, 37866, 13782, 497, 25310, 323, 4228, 311, 1005, 11, 1618, 527, 264, 5743, 315, 7718, 18726, 311, 7945, 499, 704, 13, 25640, 527, 1949, 311, 3729, 1124, 520, 904, 1486, 311, 2867, 904, 4819, 477, 10742, 11, 6617, 78124, 706, 28995, 1139, 5361, 27339, 13, 2435, 7108, 279, 4459, 7187, 21676, 3734, 91494, 445, 4091, 323, 432, 5676, 921, 24155, 11, 449, 1855, 29101, 753, 25725, 7016, 58499, 1268, 279, 1847, 374, 6476, 13, 11361, 369, 11821, 1521, 7185, 6763, 12823, 11, 682, 16211, 12850, 527, 13126, 49806, 287, 279, 4553, 3217, 315, 6505, 35843, 555, 10209, 264, 1664, 12, 19680, 4147, 3997, 477, 917, 627, 40, 2751, 420, 2816, 505, 856, 37772, 889, 16369, 757, 18815, 420, 3566, 2816, 323, 520, 279, 4545, 420, 892, 11, 477, 1120, 6206, 323, 7693, 13, 60713, 12798, 281, 31918, 602, 1781, 568, 1120, 9670, 709, 3815, 2574, 430, 7263, 6666, 8800, 1461, 11, 814, 3629, 3493, 48761, 3135, 13, 1226, 11007, 11, 814, 636, 264, 1486, 13, 1628, 430, 374, 3249, 584, 617, 1690, 11728, 26747, 5889, 34471, 304, 1561, 17340, 11, 439, 1664, 439, 264, 21186, 11591, 32539, 311, 1520, 6179, 872, 6444, 13, 578, 1847, 315, 49211, 6276, 499, 311, 1304, 264, 1396, 315, 2204, 4871, 43177, 11, 1935, 264, 2478, 5066, 4520, 311, 6678, 11226, 477, 9909, 311, 636, 23917, 6962, 13, 18729, 33762, 374, 19698, 311, 3719, 832, 315, 279, 1455, 3062, 8661, 7512, 11, 264, 220, 20, 87, 1514, 20322, 56443, 287, 16686, 374, 2731, 430, 264, 220, 605, 87, 627, 791, 3300, 52668, 3953, 16850, 18088, 15369, 11, 433, 374, 5042, 4691, 311, 3041, 279, 13890, 304, 8515, 323, 433, 374, 682, 13, 578, 1176, 6638, 374, 2663, 279, 15936, 4470, 15028, 11, 48916, 3838, 9633, 5780, 1071, 19881, 3376, 45568, 35162, 13, 28757, 505, 2380, 47561, 552, 389, 279, 11230, 1584, 11, 264, 18367, 369, 279, 22108, 3314, 10289, 13, 1102, 1436, 387, 810, 11, 2162, 12109, 3953, 19579, 28672, 701, 19289, 389, 264, 12035, 15435, 13, 7462, 300, 403, 753, 7363, 7665, 323, 14875, 6130, 2385, 323, 3834, 527, 264, 4832, 5052, 449, 13315, 3594, 753, 6650, 8446, 11, 9523, 311, 279, 28443, 370, 15954, 1847, 753, 23205, 21448, 2403, 389, 279, 311, 32539, 69428, 13, 5492, 12109, 3953, 922, 52747, 617, 20276, 264, 3477, 430, 374, 8967, 311, 6106, 430, 1524, 422, 499, 656, 10491, 311, 3820, 264, 1847, 315, 6140, 11, 499, 2834, 1431, 387, 304, 2585, 315, 701, 1866, 2324, 627, 20171, 23166, 552, 323, 32416, 11871, 369, 8494, 304, 220, 2366, 16, 198, 11180, 16087, 281, 31918, 912, 4232, 3544, 69428, 323, 47729, 21845, 304, 9633, 3953, 11, 1766, 26701, 527, 2744, 5439, 13, 7566, 11, 15184, 52821, 6529, 506, 10784, 355, 2116, 82120, 268, 13, 29622, 66692, 12109, 35382, 2082, 8065, 18742, 1880, 3869, 84921, 1744, 9189, 28068, 10333, 11, 31335, 13, 1472, 1288, 17257, 994, 499, 3207, 8469, 11, 323, 9604, 13, 21115, 912, 16946, 8352, 433, 374, 264, 6220, 1648, 315, 5737, 2533, 499, 1541, 1431, 5326, 701, 6201, 1119, 439, 499, 1456, 704, 264, 4040, 1847, 11, 7296, 3966, 311, 387, 264, 1948, 10844, 369, 279, 34471, 13, 7252, 21448, 389, 3738, 11987, 369, 20210, 9130, 9141, 11, 1514, 16087, 369, 1972, 3300, 2930, 539, 1120, 994, 814, 37859, 13, 3216, 311, 420, 1486, 11, 1514, 16087, 369, 1972, 3300, 2930, 719, 1101, 304, 279, 1690, 4038, 311, 2586, 13, 21115, 912, 16946, 8352, 520, 904, 892, 499, 649, 7431, 279, 3072, 1578, 304, 701, 8785, 3857, 863, 2476, 43063, 33127, 93361, 278, 1767, 1199, 57633, 863, 2675, 617, 2500, 30836, 15639, 11, 279, 2851, 3217, 994, 5737, 7199, 18261, 8519, 53448, 627, 5451, 29145, 32671, 20237, 1847, 11, 12656, 8270, 1101, 21845, 4311, 449, 1391, 3585, 13, 2057, 1520, 499, 704, 11, 568, 27741, 264, 15638, 1990, 37099, 323, 21481, 5605, 15369, 374, 264, 8331, 430, 374, 6532, 304, 1475, 10775, 13, 17331, 1077, 5039, 45563, 706, 1101, 6982, 1077, 7982, 3070, 719, 1268, 1690, 2911, 1587, 45563, 617, 11, 58362, 6913, 8446, 44332, 584, 3041, 499, 4330, 315, 279, 1888, 3953, 311, 4048, 1418, 499, 3207, 389, 71489, 13, 3005, 31737, 430, 1364, 3250, 1431, 11, 719, 11060, 5889, 3250, 1431, 2187, 86304, 13, 25122, 1694, 264, 78320, 13693, 856, 22128, 38499, 11, 420, 1934, 2643, 1520, 499, 7216, 704, 3508, 499, 3207, 304, 279, 4832, 29960, 13, 3092, 5915, 449, 430, 574, 311, 1518, 1268, 279, 67988, 21682, 5694, 19579, 3345, 4885, 11, 1518, 502, 4519, 627, 43363, 12109, 1949, 45858, 2085, 16946, 220, 2366, 16, 499, 636, 311, 4822, 520, 2162, 323, 1514, 520, 701, 1866, 19679, 11, 80604, 374, 279, 1455, 5526, 12109, 1847, 323, 279, 2944, 369, 420, 374, 430, 13, 763, 5369, 311, 420, 11, 304, 430, 4676, 18067, 17323, 527, 6992, 13, 8425, 1187, 281, 31918, 72908, 264, 12414, 305, 4091, 311, 701, 7147, 5825, 279, 4832, 7858, 369, 11012, 11, 29935, 220, 22, 8267, 21115, 374, 6724, 23583, 323, 374, 264, 16383, 25725, 2816, 1555, 32380, 53049, 3109, 13, 1472, 4805, 1101, 636, 2678, 16520, 11460, 11, 4400, 374, 39532, 30931, 477, 22798, 13, 10311, 2930, 16087, 4774, 1202, 17496, 323, 9178, 33321, 11, 8994, 682, 279, 2204, 9863, 1511, 369, 420, 4040, 1847, 13, 1115, 12992, 701, 17393, 315, 11230, 832, 315, 279, 26128, 79, 2469, 11, 60080, 706, 8774, 264, 64062, 15601, 389, 279, 29407, 1109, 279, 586, 15393, 13, 1472, 649, 1514, 4528, 21481, 1847, 27103, 1093, 88614, 93571, 38668, 323, 35374, 7814, 38668, 520, 279, 2768, 1948, 55985, 3974, 24204, 2930, 34471, 11, 24858, 12109, 1949, 45858, 2085, 16946, 220, 2366, 16, 505, 3682, 19092, 11429, 311, 9099, 6566, 7868, 627, 52747, 315, 37749, 220, 15831, 1389, 21115, 23166, 552, 449, 49667, 58600, 6342, 198, 2028, 9633, 374, 264, 220, 20, 5621, 301, 9633, 430, 374, 1790, 810, 17551, 1203, 1109, 27987, 21275, 11, 264, 11326, 323, 264, 19114, 13, 3658, 2930, 9633, 5780, 12109, 3953, 433, 753, 1120, 3347, 220, 605, 264, 749, 11, 439, 264, 4846, 12360, 13, 32416, 5780, 938, 35322, 37169, 1514, 369, 1949, 2085, 12506, 3131, 389, 279, 8682, 19074, 6642, 33256, 374, 24174, 11, 358, 13, 763, 471, 369, 701, 27219, 19289, 499, 636, 311, 1514, 264, 5128, 5410, 1847, 11, 1949, 2930, 9633, 5780, 12109, 3953, 279, 49179, 315, 279, 1176, 13, 15636, 11, 2930, 15744, 13, 29257, 87449, 520, 279, 2930, 12109, 279, 1890, 11, 6724, 22939, 6807, 6108, 11667, 369, 12096, 323, 11380, 2930, 627, 10438, 6041, 311, 1514, 11, 502, 16211, 13, 4656, 2690, 44332, 5718, 1268, 311, 1514, 369, 2937, 11, 5222, 47609, 323, 13077, 690, 1520, 311, 1893, 810, 4754, 11761, 304, 3938, 13, 1789, 15648, 88, 3663, 11, 9148, 1030, 2439, 51688, 304, 477, 2212, 701, 2162, 1253, 387, 19054, 3995, 13, 2684, 527, 5131, 927, 1630, 6505, 3953, 430, 499, 649, 1514, 449, 603, 389, 701, 15236, 6505, 3756, 315, 5873, 11, 4668, 20181, 315, 2294, 4519, 323, 2671, 13, 2030, 1550, 499, 1440, 430, 279, 15774, 38493, 5475, 25283, 499, 311, 1934, 682, 315, 1884, 87449, 389, 701, 3827, 471, 11 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 23956, 5603, 1288, 499, 1005, 11, 1148, 690, 3719, 701, 3446, 30, 1115, 690, 6904, 389, 701, 15813, 315, 279, 5133, 323, 499, 13, 4452, 11, 358, 1053, 7079, 499, 311, 4059, 3725, 7417, 304, 1475, 11008, 13, 29757, 685, 701, 5845, 311, 29243, 449, 1023, 1274, 11, 1418, 15884, 34662, 287, 701, 5133, 389, 701, 1866, 13, 4761, 13570, 6261, 40069, 449, 912, 19971, 13, 5560, 1475, 11008, 439, 264, 6975, 3217, 499, 2225, 4048, 311, 22712, 449, 1855, 1023, 304, 264, 9498, 11827, 11, 477, 3156, 433, 10548, 13, 4557, 11, 912, 11, 3495, 279, 1877, 5029, 14254, 6946, 389, 21116, 97707, 596, 5569, 3744, 17244, 311, 7945, 499, 659, 12, 8720, 1268, 5052, 499, 527, 11, 323, 311, 1520, 499, 1304, 9096, 449, 279, 2144, 430, 701, 53730, 2930, 5029, 1436, 387, 88804, 627, 89685, 304, 4059, 11, 499, 1541, 956, 1390, 311, 842, 709, 1093, 279, 28701, 1023, 7752, 889, 656, 539, 1440, 279, 1, 5718, 315, 279, 1847, 1, 323, 1120, 28182, 3278, 704, 389, 5690, 13, 1472, 1541, 956, 6562, 311, 387, 279, 7564, 889, 46762, 433, 369, 16470, 775, 323, 3727, 7724, 2543, 872, 12625, 19882, 389, 1, 879, 13, 330, 5659, 279, 13326, 1917, 315, 5690, 11, 6666, 45395, 527, 2875, 13, 1472, 690, 6118, 1193, 636, 832, 6140, 311, 656, 2574, 1314, 627, 36, 15959, 40745, 35011, 12, 1050, 8017, 1077, 78076, 449, 701, 1866, 2547, 4221, 12, 482, 323, 2231, 1461, 304, 813, 2035, 719, 1541, 956, 4465, 477, 1304, 1077, 83372, 1442, 2500, 893, 3727, 264, 1522, 13, 12839, 279, 1584, 1990, 20806, 1461, 1440, 568, 596, 704, 315, 1584, 4856, 1109, 15718, 1093, 264, 41690, 11640, 11671, 627, 14364, 3062, 2930, 5029, 1984, 94305, 7462, 22464, 68, 33654, 922, 279, 38307, 6566, 374, 430, 1070, 374, 264, 2294, 1205, 369, 31687, 6957, 420, 4261, 13, 1666, 499, 10570, 6957, 279, 25549, 1920, 11, 499, 690, 4762, 3217, 459, 7319, 1205, 311, 387, 24891, 13, 19898, 706, 21730, 29600, 13, 40730, 389, 279, 7976, 37772, 80413, 7462, 22464, 68, 323, 71540, 315, 701, 5133, 11, 499, 4036, 7106, 31687, 389, 701, 11103, 13, 4800, 430, 31687, 374, 539, 1070, 1690, 1274, 1053, 4879, 311, 3449, 872, 16686, 369, 7462, 22464, 68, 14469, 449, 1877, 11, 539, 44114, 1070, 374, 264, 6811, 1990, 31687, 323, 7392, 31687, 13, 10541, 279, 1403, 527, 11622, 2204, 11, 499, 649, 11886, 1790, 315, 701, 1205, 369, 7392, 3729, 555, 19546, 279, 7106, 31687, 430, 499, 1205, 304, 2536, 44687, 5627, 7, 1778, 439, 80342, 11, 64279, 11, 10168, 6206, 11, 11689, 6916, 304, 6916, 8, 16853, 16366, 659, 12, 93727, 503, 388, 727, 3363, 574, 7462, 22464, 68, 14469, 1268, 311, 1505, 2254, 58695, 18855, 505, 2225, 11314, 13, 1952, 279, 18791, 3185, 11, 813, 9045, 311, 2744, 1505, 704, 279, 1, 1314, 3245, 1, 311, 2019, 1207, 444, 71888, 49680, 813, 6332, 74935, 430, 568, 574, 539, 2294, 3403, 439, 568, 1047, 1027, 13, 1952, 279, 1023, 1450, 11, 279, 8389, 14847, 568, 4036, 505, 7724, 1606, 568, 574, 20025, 14624, 311, 1124, 49680, 813, 7, 37104, 8, 23035, 430, 3278, 8434, 956, 387, 15107, 311, 1461, 15851, 315, 1148, 568, 1550, 627, 3513, 46878, 13, 1442, 499, 527, 304, 264, 586, 2035, 433, 374, 10619, 311, 20461, 1405, 433, 574, 4529, 13, 2030, 422, 499, 527, 520, 2254, 4106, 58695, 7462, 22464, 68, 323, 1063, 66352, 4668, 1053, 387, 304, 279, 7397, 12, 482, 1093, 422, 9514, 2351, 704, 304, 701, 20085, 477, 389, 701, 1866, 44952, 323, 1070, 596, 264, 2478, 66352, 6070, 477, 7180, 304, 279, 6685, 11, 433, 1253, 387, 1888, 311, 1935, 264, 10512, 449, 420, 38350, 304, 1684, 627, 1, 1115, 374, 12756, 26225, 13, 1472, 7263, 420, 389, 6261, 13, 21829, 433, 13, 330, 1666, 568, 45135, 520, 757, 11, 568, 36065, 14297, 13, 578, 2144, 315, 279, 6671, 6137, 311, 856, 10003, 7976, 37772, 304, 323, 358, 6612, 856, 6548, 1664, 287, 709, 13, 358, 3287, 956, 1390, 311, 3240, 31299, 304, 279, 4219, 315, 279, 10960, 13, 13596, 52860, 1047, 17454, 3403, 315, 264, 1501, 505, 757, 2736, 627, 2675, 1541, 956, 1205, 311, 733, 13088, 719, 499, 1288, 1935, 279, 892, 311, 1304, 2771, 499, 3077, 2751, 9364, 430, 527, 2867, 323, 430, 499, 2231, 1063, 5149, 1139, 3411, 3118, 481, 13, 362, 15326, 6945, 66208, 9459, 279, 16801, 430, 9514, 2351, 459, 709, 10276, 893, 323, 15851, 315, 1148, 499, 3077, 1027, 3309, 922, 3958, 13305, 11, 5099, 13, 1174, 520, 279, 3345, 315, 279, 11714, 264, 3828, 374, 810, 4461, 311, 32918, 459, 709, 10276, 893, 430, 1364, 13919, 649, 8312, 369, 1077, 49043, 264, 8009, 8334, 477, 4528, 893, 627, 2675, 11913, 279, 2254, 15246, 3566, 58695, 7462, 22464, 68, 315, 279, 57536, 439, 311, 1268, 814, 9616, 311, 459, 10728, 13, 362, 5679, 1501, 12716, 704, 279, 18845, 304, 603, 311, 1522, 19971, 13, 2100, 3432, 11, 1694, 279, 11913, 11, 902, 374, 24559, 1148, 499, 3719, 994, 3411, 369, 2457, 6392, 11, 499, 7598, 1139, 279, 1567, 323, 2035, 6261, 13, 2100, 1095, 603, 2231, 3871, 832, 11714, 13, 1472, 2011, 1404, 709, 7931, 369, 459, 3564, 91128, 3719, 63682, 7462, 22464, 68, 14469, 596, 832, 12, 1180, 61808, 13, 3298, 1093, 264, 25146, 7690, 13, 63039, 408, 311, 1304, 31342, 922, 279, 4367, 315, 264, 2457, 596, 5845, 369, 28286, 304, 264, 15266, 430, 706, 311, 3060, 1304, 433, 733, 29320, 323, 16470, 733, 2162, 323, 16106, 47370, 305, 2689, 323, 2019, 1, 430, 574, 279, 12047, 1514, 358, 617, 3596, 1027, 311, 13, 330, 39768, 420, 304, 4059, 11, 1243, 11, 10368, 701, 19971, 7512, 13, 21834, 1203, 389, 682, 315, 279, 12707, 5039, 499, 617, 3596, 15746, 704, 315, 73153, 13, 2468, 1148, 499, 5602, 11, 499, 1253, 617, 4224, 5327, 291, 13, 763, 420, 1917, 1606, 499, 1664, 1440, 11, 1070, 6866, 264, 4040, 7463, 315, 7931, 449, 279, 11005, 311, 11203, 499, 1203, 1139, 35717, 12, 709, 43214, 13, 10926, 499, 304, 279, 1567, 430, 499, 1436, 1505, 264, 3927, 11, 1053, 1781, 430, 33944, 18841, 574, 14733, 294, 10279, 323, 1053, 1093, 311, 387, 3515, 459, 2457, 627, 87115, 750, 11, 499, 690, 1205, 311, 1505, 704, 1268, 311, 617, 279, 8475, 2547, 4221, 26, 4510, 433, 477, 539, 701, 2547, 649, 3041, 3958, 477, 3201, 7462, 22464, 68, 38920, 7976, 37772, 16024, 311, 264, 1732, 13, 4702, 1268, 374, 420, 30, 1789, 3187, 11, 422, 499, 1781, 315, 18570, 1694, 44040, 477, 18290, 11, 279, 2926, 3245, 430, 690, 4747, 701, 4059, 374, 4423, 449, 872, 11977, 323, 1101, 6206, 77832, 2212, 1093, 814, 1047, 28211, 311, 733, 11, 11509, 304, 264, 9309, 449, 872, 14971, 264, 2697, 5882, 287, 1523, 439, 422, 279, 3927, 656, 539, 12876, 872, 3663, 311, 387, 3970, 13, 1442, 499, 617, 3604, 12457, 420, 2217, 304, 701, 2010, 11, 499, 527, 1455, 4461, 311, 387, 17339, 5403, 2547, 7351, 13, 3011, 374, 1268, 2547, 7351, 4375, 13, 4718, 2547, 649, 1450, 704, 279, 47811, 315, 1694, 27207, 477, 11920, 1418, 9514, 2351, 11509, 304, 7462, 22464, 68, 33654, 32847, 369, 16736, 1877, 315, 1124, 13, 20474, 701, 2547, 374, 701, 6573, 16665, 439, 1664, 439, 422, 430, 6070, 6206, 704, 11, 279, 27410, 690, 7995, 1833, 323, 1101, 279, 1193, 3245, 86387, 499, 2559, 7462, 22464, 68, 33654, 7995, 387, 701, 14535, 1418, 814, 2351, 4401, 3201, 311, 1935, 701, 16984, 323, 2854, 54873, 2254, 3254, 58695, 7462, 22464, 68, 704, 315, 279, 6671, 627, 791, 1633, 1176, 7462, 22464, 68, 578, 2926, 8071, 3729, 374, 1521, 14269, 994, 15687, 917, 19223, 1855, 1023, 13, 2468, 279, 4545, 11, 279, 3938, 389, 14454, 279, 21455, 25, 32134, 25, 20426, 264, 2926, 14956, 11, 499, 1541, 956, 1205, 311, 1781, 922, 1120, 1268, 1695, 7216, 323, 701, 7013, 690, 387, 13, 3234, 539, 11196, 922, 422, 499, 13353, 7462, 22464, 68, 14469, 477, 527, 1529, 41913, 13, 2468, 420, 4545, 11, 499, 649, 37455, 389, 279, 3927, 26, 2980, 813, 10512, 369, 439, 1317, 323, 439, 15884, 439, 499, 1397, 433, 627, 3947, 574, 264, 892, 11, 304, 279, 4216, 2919, 315, 279, 7757, 11, 439, 433, 1053, 617, 1027, 28093, 346, 43672, 311, 2980, 5029, 264, 1732, 430, 499, 2322, 2930, 13, 1102, 7111, 1093, 264, 14599, 7434, 311, 387, 304, 264, 5133, 449, 264, 35058, 13, 2684, 574, 539, 904, 1648, 311, 1440, 3508, 279, 1732, 3309, 279, 8206, 12, 482, 477, 264, 4101, 315, 15812, 311, 499, 627, 2460, 21730, 12302, 449, 25917, 11, 26586, 11, 323, 78570, 13, 43633, 499, 527, 1972, 4856, 499, 55200, 6261, 315, 279, 8631, 315, 4560, 311, 35840, 477, 10240, 323, 1884, 19857, 16024, 627, 2675, 649, 3060, 3708, 1124, 7462, 22464, 68, 14469, 2254, 12502, 58695, 810, 2204, 1984, 11, 422, 499, 1541, 956, 636, 1203, 264, 1984, 2949, 264, 2046, 477, 499, 649, 10570, 13, 4418, 956, 86562, 1124, 449, 6743, 13, 7570, 3582, 1070, 596, 264, 13336, 814, 13942, 477, 12305, 701, 1176, 1984, 11, 656, 539, 4585, 433, 627, 10267, 1303, 279, 21847, 733, 1436, 387, 17235, 32015, 3189, 9162, 994, 499, 527, 85161, 555, 279, 1732, 11, 323, 4330, 6622, 649, 2733, 1093, 4330, 4520, 13, 1472, 2643, 387, 16984, 279, 1023, 1732, 690, 636, 34386, 477, 2733, 29859, 323, 2646, 1390, 311, 3136, 279, 10652, 13, 763, 2144, 11, 1418, 814, 690, 7995, 2733, 810, 24408, 505, 279, 21847, 11, 279, 12047, 3245, 499, 649, 656, 374, 20461, 430, 433, 374, 2288, 1790, 369, 499, 555, 2160, 73910, 1203, 8800, 701, 2010, 477, 12365, 13, 5031, 485, 6261, 430, 433, 596, 539, 701, 12014, 13, 23588, 3634, 369, 682, 1884, 23418, 16024, 323, 11142, 1124, 11, 323, 1427, 520, 1077, 11, 6724, 10882, 304, 279, 21847, 449, 264, 8430, 315, 11, 330, 358, 649, 956, 2980, 4205, 311, 2019, 13, 358, 1093, 7556, 449, 499, 16102, 13, 1442, 1364, 2795, 11, 330, 1148, 30, 330, 2057, 6859, 279, 24408, 499, 1436, 6013, 449, 1063, 23851, 315, 1521, 16024, 13, 763, 279, 1567, 430, 499, 3077, 1027, 304, 26306, 449, 1077, 16024, 709, 369, 420, 6566, 36734, 1364, 4585, 279, 21976, 4741, 13, 1442, 1364, 3250, 956, 11, 433, 8741, 11, 912, 2466, 3568, 11, 323, 433, 596, 892, 311, 1212, 6381, 279, 16628, 323, 13126, 51297, 279, 8369, 47555, 627, 2028, 690, 1520, 499, 1518, 430, 8996, 21845, 499, 4510, 499, 527, 3794, 527, 539, 3403, 323, 433, 690, 5376, 701, 6784, 323, 30229, 13, 1472, 2643, 387, 72364, 3403, 311, 2019, 1, 22733, 420, 1, 323, 1304, 279, 7940, 9017, 279, 36865, 430, 499, 527, 8173, 304, 1694, 389, 627, 791, 2944, 374, 5042, 1606, 3026, 323, 3278, 889, 1440, 1855, 1023, 1633, 1664, 1180, 304, 264, 2254, 58695, 13, 3296, 39474, 430, 374, 15061, 11, 499, 2351, 73967, 430, 499, 1403, 617, 627, 6153, 4102, 11, 358, 4265, 3335, 430, 2316, 1234, 279, 2316, 315, 1, 9029, 358, 14998, 311, 20474, 11, 330, 304, 279, 8554, 3857, 315, 856, 6505, 4641, 449, 264, 10015, 4096, 315, 1405, 358, 41834, 1124, 11, 323, 904, 8365, 430, 1436, 1520, 10765, 1124, 994, 358, 7111, 1203, 27905, 13, 5810, 358, 1053, 2997, 1274, 13, 1115, 6688, 757, 264, 3813, 311, 8720, 279, 342, 2629, 18, 63682, 7462, 22464, 68, 33654, 358, 2322, 627, 33, 762, 18238, 279, 6617, 8451, 1505, 2254, 63682, 7462, 22464, 68, 14469, 374, 682, 922, 1701, 1124, 3871, 311, 1935, 701, 40543, 323, 5603, 311, 2324, 311, 502, 36394, 323, 1652, 10892, 1113, 264, 3552, 315, 25022, 13, 578, 25679, 1618, 1288, 387, 389, 1855, 3927, 1652, 10892, 988, 449, 5127, 1694, 1314, 11, 311, 43656, 323, 872, 2373, 315, 264, 19225, 8451, 893, 627, 32576, 433, 574, 279, 30305, 82, 2930, 5029, 11246, 18206, 11, 8530, 433, 574, 279, 14254, 315, 856, 4827, 36517, 96234, 2403, 1077, 628, 1538, 69801, 11, 7344, 433, 574, 279, 14254, 315, 1521, 11191, 30682, 289, 677, 9894, 709, 323, 1523, 439, 279, 4732, 315, 856, 2875, 53572, 7319, 11, 11000, 433, 574, 1120, 892, 11, 719, 2403, 682, 315, 279, 21448, 315, 5108, 779, 5246, 11, 358, 1436, 8659, 2733, 856, 1866, 38765, 4857, 13, 2468, 7041, 279, 4839, 1890, 892, 11, 1364, 15753, 45054, 323, 704, 4102, 323, 17004, 315, 7462, 22464, 68, 52104, 93727, 122807 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 17827, 555, 32171, 9346, 64, 23272, 385, 285, 389, 6740, 11, 220, 868, 339, 7552, 220, 679, 18, 198, 791, 36256, 2978, 358, 18677, 439, 264, 2697, 3828, 374, 7559, 6089, 4028, 279, 8761, 505, 856, 20587, 2162, 13, 358, 6222, 449, 499, 13985, 430, 5127, 304, 279, 40442, 7020, 994, 856, 6691, 574, 3339, 16385, 1606, 279, 55279, 28883, 34632, 13, 358, 649, 6227, 11961, 304, 856, 24978, 323, 34168, 279, 1176, 20043, 15329, 421, 3168, 13, 578, 95685, 4954, 55279, 2744, 1903, 757, 3276, 23707, 323, 358, 649, 6227, 37874, 520, 279, 2978, 29519, 323, 77674, 311, 7182, 11, 10264, 11, 10264, 11, 10264, 0, 358, 1436, 20781, 3868, 311, 99345, 389, 279, 842, 16363, 449, 264, 568, 14550, 10695, 315, 18878, 6985, 13, 39520, 323, 50999, 41778, 16385, 374, 264, 2489, 1903, 304, 23070, 323, 1521, 426, 10599, 1557, 3869, 350, 90276, 12366, 72, 15564, 8065, 921, 4650, 266, 527, 9615, 86929, 627, 35078, 449, 41580, 1511, 311, 7317, 1463, 757, 719, 279, 810, 358, 990, 449, 433, 279, 810, 10882, 358, 3719, 13, 358, 1903, 264, 24219, 5873, 311, 743, 16038, 856, 2559, 38878, 369, 264, 1418, 323, 10772, 279, 31452, 555, 1450, 1606, 358, 6288, 9687, 1148, 311, 1427, 369, 323, 1268, 279, 31452, 1288, 2733, 520, 279, 2204, 18094, 627, 2170, 358, 9932, 13985, 11, 293, 10599, 1557, 31452, 374, 779, 33045, 323, 11, 358, 4344, 12304, 311, 1212, 1701, 279, 45773, 2418, 753, 426, 10599, 1557, 369, 11427, 414, 88, 47979, 13, 41974, 433, 753, 5115, 5526, 369, 1054, 268, 14425, 30872, 668, 863, 320, 96420, 20037, 304, 74155, 31452, 323, 1243, 41778, 570, 3861, 315, 856, 19214, 1054, 268, 14425, 30872, 668, 863, 26863, 374, 64225, 57104, 719, 358, 4070, 1193, 3596, 1511, 63172, 74155, 11, 358, 4344, 3411, 4741, 311, 20646, 433, 449, 420, 955, 315, 293, 10599, 1557, 627, 44297, 393, 64272, 285, 20473, 1005, 279, 5190, 8834, 11595, 293, 10599, 1557, 311, 1304, 28682, 4447, 477, 45915, 31452, 13, 358, 1097, 2133, 311, 4879, 311, 2231, 420, 31452, 3871, 11, 358, 4344, 539, 2771, 1268, 6992, 358, 690, 387, 1606, 433, 690, 387, 5107, 311, 990, 304, 279, 3544, 3392, 315, 8834, 555, 1450, 719, 433, 1053, 387, 264, 11364, 10778, 311, 98446, 435, 1119, 64, 477, 1344, 29200, 4447, 31452, 13, 358, 1781, 369, 279, 3392, 315, 990, 6532, 358, 1053, 4762, 3665, 433, 369, 3361, 25975, 627, 2675, 4805, 5406, 430, 358, 3287, 1431, 11322, 279, 1890, 6453, 21411, 28362, 389, 279, 40712, 7863, 311, 279, 14733, 426, 10599, 1557, 3869, 350, 90276, 358, 6222, 13985, 13, 358, 4070, 2646, 2728, 19151, 11623, 1790, 3463, 3156, 1457, 13, 358, 32620, 4510, 430, 1054, 906, 8343, 449, 1057, 6548, 1176, 863, 323, 19151, 11623, 649, 1304, 3347, 4108, 11, 61777, 11, 16385, 82, 5099, 13, 1427, 810, 33352, 13, 42313, 11623, 1101, 57877, 304, 47697, 323, 11621, 10651, 627, 7131, 499, 1440, 430, 499, 1288, 923, 12290, 311, 19151, 11623, 323, 433, 1288, 387, 10235, 279, 1938, 1603, 1701, 30, 28138, 270, 1354, 704, 279, 19151, 11623, 1606, 19151, 28896, 527, 21277, 1534, 555, 279, 12290, 323, 527, 912, 5129, 29123, 311, 832, 2500, 719, 433, 1587, 1935, 1063, 892, 369, 420, 311, 3621, 16472, 279, 2944, 369, 20646, 304, 12178, 627, 1016, 20353, 704, 279, 19151, 11623, 3727, 433, 8831, 311, 3881, 264, 15792, 41394, 323, 433, 6835, 279, 41778, 1695, 264, 6721, 6381, 13, 3277, 19486, 19151, 11623, 433, 753, 3062, 430, 433, 1587, 539, 7463, 389, 279, 74155, 477, 2212, 279, 2385, 315, 279, 74155, 11, 358, 1781, 15792, 1251, 704, 279, 19151, 11623, 690, 1520, 449, 420, 3465, 72423, 627, 4599, 499, 3207, 20646, 19151, 11623, 11, 2567, 279, 2768, 304, 4059, 11, 19151, 94582, 2857, 5825, 1455, 315, 279, 33505, 323, 12745, 11, 19151, 22632, 3493, 10651, 320, 5192, 285, 3368, 11, 1344, 29200, 8, 323, 649, 1101, 83608, 279, 12745, 11, 12290, 11621, 264, 5916, 315, 47697, 719, 433, 374, 14918, 1511, 311, 15792, 704, 279, 19151, 11623, 11, 14403, 477, 12932, 11621, 12745, 323, 11, 13465, 5825, 264, 2766, 315, 64550, 719, 649, 1101, 923, 12745, 13, 1628, 11, 994, 20646, 279, 19151, 11623, 11, 1304, 2771, 279, 19335, 527, 31394, 1664, 627, 8142, 358, 574, 45243, 19151, 11623, 358, 9687, 264, 11190, 11813, 369, 20646, 41778, 11822, 430, 4498, 304, 279, 650, 3675, 2201, 12329, 648, 3070, 13, 362, 15792, 6324, 315, 19151, 11623, 1288, 387, 9435, 1306, 46620, 304, 18459, 369, 279, 1620, 10205, 323, 1243, 2500, 15792, 6324, 1288, 387, 9435, 1120, 4972, 311, 28915, 13, 42313, 28786, 11157, 26420, 1524, 12745, 367, 719, 1101, 29034, 264, 6930, 505, 30164, 389, 279, 74155, 627, 40, 4070, 14000, 1455, 19141, 369, 650, 3675, 2201, 12329, 648, 1193, 1650, 369, 19151, 28786, 279, 3347, 4108, 1306, 46620, 13, 358, 4070, 2744, 19151, 38593, 1120, 1603, 28915, 13, 358, 4344, 2133, 311, 1304, 459, 25329, 719, 358, 4510, 279, 2944, 369, 420, 374, 1606, 422, 2512, 374, 539, 62113, 994, 19486, 279, 19151, 11623, 1306, 279, 1620, 11311, 279, 31452, 1436, 93789, 13, 358, 1053, 7079, 1701, 264, 8579, 1437, 29400, 15998, 323, 30373, 77826, 994, 19486, 279, 2132, 23724, 1606, 499, 1436, 1101, 5674, 279, 36301, 3347, 4108, 627, 24798, 856, 11879, 1139, 43849, 3339, 358, 4070, 9687, 430, 279, 2697, 3649, 527, 779, 3062, 13, 358, 3987, 1063, 315, 279, 10631, 358, 4070, 6222, 369, 20646, 426, 10599, 1557, 90395, 323, 46620, 426, 10599, 1557, 3869, 350, 90276, 690, 1520, 499, 304, 279, 9979, 13, 1442, 499, 617, 904, 4860, 11, 4587, 2610, 304, 279, 6170, 11, 358, 10788, 279, 16628, 627, 33, 10599, 1557, 3869, 350, 37093, 12366, 72, 15564, 8065, 921, 4650, 266, 30653, 14136, 426, 10599, 1557, 70710, 198, 12, 426, 10599, 1557, 90395, 26371, 198, 12, 426, 10599, 1557, 3869, 350, 37093, 12366, 72, 15564, 8065, 921, 4650, 266, 30653, 14136, 426, 10599, 1557, 70710, 198, 2520, 279, 426, 10599, 1557, 3869, 350, 37093, 12366, 72, 15564, 8065, 921, 4650, 266, 11, 358, 10235, 279, 31452, 2768, 279, 12673, 426, 10599, 1557, 90395, 11363, 719, 4619, 315, 1701, 832, 7895, 3346, 16385, 20415, 11, 358, 1511, 264, 10824, 315, 16385, 20415, 323, 14733, 320, 543, 59338, 8, 20415, 13, 10541, 2225, 527, 18406, 11, 358, 15236, 279, 10651, 315, 279, 31452, 10235, 449, 832, 7895, 3346, 16385, 20415, 13, 358, 33147, 499, 311, 1456, 2225, 323, 1518, 902, 499, 10932, 627, 33, 10599, 1557, 3869, 350, 37093, 12366, 72, 15564, 8065, 921, 4650, 266, 30653, 14136, 426, 10599, 1557, 70710, 198, 51377, 358, 6222, 264, 11364, 15105, 369, 46620, 426, 10599, 1557, 3869, 350, 37093, 26907, 279, 15105, 649, 1431, 387, 1511, 304, 279, 18459, 315, 1521, 293, 10599, 1557, 28473, 1606, 814, 527, 10409, 449, 18414, 627, 9673, 293, 10599, 1557, 28473, 649, 1101, 387, 10409, 449, 20673, 477, 1922, 1764, 3347, 48738, 2473, 320, 331, 484, 304, 279, 46044, 311, 270, 9890, 11, 902, 690, 1304, 46620, 279, 31452, 5041, 8831, 8, 719, 499, 2011, 1935, 2512, 994, 21973, 323, 46620, 323, 358, 1101, 7079, 539, 7999, 2288, 1790, 21973, 627, 12, 220, 16, 62611, 7120, 62334, 14432, 11, 50459, 198, 12, 220, 5067, 342, 320, 1691, 49138, 8, 293, 10599, 1557, 31452, 198, 12, 220, 5332, 342, 320, 9274, 220, 17, 27154, 49138, 8, 1695, 4367, 293, 29163, 4589, 18414, 24512, 1389, 422, 1701, 24855, 404, 569, 21148, 24512, 1005, 220, 21, 824, 6638, 320, 269, 810, 422, 499, 3207, 779, 43131, 340, 12, 220, 16, 3544, 19151, 379, 23427, 198, 12, 220, 16, 62611, 4459, 14403, 198, 12, 3623, 2648, 13465, 477, 70723, 13465, 11, 10309, 198, 12, 41680, 30335, 220, 23, 10166, 320, 18, 25224, 8, 293, 10599, 1557, 51370, 82, 389, 31230, 2106, 28915, 11071, 13, 12362, 2678, 74155, 15998, 11, 63471, 1855, 51370, 1664, 449, 50459, 14432, 11, 15596, 704, 904, 13937, 627, 12, 12362, 13731, 89134, 11, 22497, 279, 31452, 1139, 30335, 220, 1272, 342, 320, 16, 13, 19, 54808, 8, 9863, 323, 30335, 220, 605, 342, 30565, 1758, 54808, 8, 9863, 13, 15028, 1855, 6710, 315, 31452, 1139, 264, 10508, 5041, 555, 10747, 10194, 701, 1450, 927, 279, 31452, 323, 7366, 433, 304, 264, 28029, 11633, 627, 12, 2057, 1376, 279, 2385, 315, 279, 28473, 11, 990, 449, 832, 3544, 5041, 315, 31452, 520, 7561, 7394, 323, 990, 6288, 311, 6211, 320, 998, 5471, 14432, 505, 24808, 709, 323, 50684, 2949, 279, 31452, 570, 86738, 1855, 31452, 5041, 1139, 264, 4883, 13668, 449, 701, 19779, 13, 41680, 220, 21, 477, 220, 21, 342, 320, 9274, 220, 42973, 12, 9933, 8, 18414, 24512, 304, 279, 12541, 315, 279, 31452, 4883, 13, 4324, 264, 5041, 6724, 86028, 279, 18414, 24512, 555, 23062, 709, 279, 14329, 11314, 315, 279, 31452, 4883, 323, 1243, 11, 9160, 28075, 3871, 311, 9966, 13, 11004, 279, 31452, 5041, 11, 27494, 3185, 1523, 11, 304, 279, 293, 10599, 1557, 51370, 13, 8612, 701, 25015, 304, 279, 12541, 315, 279, 31452, 5041, 311, 1893, 459, 21455, 320, 7072, 2771, 311, 539, 4018, 1555, 279, 31452, 323, 1101, 311, 3009, 279, 21455, 1120, 1603, 279, 2385, 315, 279, 51370, 4390, 12, 2057, 1893, 279, 83067, 320, 2025, 705, 1578, 11, 3318, 449, 832, 2678, 31452, 5041, 520, 7561, 7394, 11, 6638, 279, 5041, 389, 459, 9392, 6968, 459, 61137, 6211, 430, 374, 91529, 389, 832, 842, 323, 18460, 389, 279, 1023, 842, 320, 1820, 18460, 842, 690, 387, 279, 7479, 315, 279, 83067, 4390, 12, 2057, 15866, 61137, 311, 279, 8294, 5041, 11, 34504, 20415, 1963, 323, 6278, 19779, 323, 1243, 11, 30373, 3577, 279, 15376, 842, 315, 279, 61137, 1139, 279, 21455, 304, 279, 3544, 5041, 11, 3136, 3815, 420, 2212, 279, 11314, 315, 279, 21455, 3156, 1403, 45726, 315, 279, 61137, 61370, 1139, 279, 8294, 5041, 323, 1193, 264, 2697, 374, 2163, 9621, 11, 279, 83067, 477, 18460, 842, 315, 279, 61137, 627, 12, 2057, 10772, 19151, 11623, 11, 41759, 3871, 19151, 379, 23427, 323, 14403, 304, 264, 2678, 19763, 3156, 11093, 1664, 13, 12362, 74155, 15998, 11, 3881, 264, 15792, 6324, 315, 19151, 11623, 389, 279, 7479, 315, 279, 31452, 320, 7072, 2771, 279, 19151, 11623, 1587, 539, 7463, 389, 279, 74155, 477, 73599, 1523, 304, 1990, 279, 31452, 323, 25826, 6062, 433, 690, 387, 5107, 311, 38531, 619, 279, 28473, 29275, 12, 41680, 3116, 69098, 29247, 304, 1990, 279, 51370, 82, 389, 279, 28915, 11071, 13, 44464, 279, 28915, 11071, 1139, 264, 3544, 11, 4335, 12466, 9145, 11, 259, 47270, 279, 10548, 1234, 320, 269, 422, 499, 10932, 3504, 449, 12466, 15411, 570, 6914, 10205, 520, 3130, 9499, 3156, 35717, 304, 8286, 11, 922, 220, 17, 4207, 627, 12, 5075, 20559, 24276, 311, 220, 5245, 11877, 356, 320, 8652, 11877, 435, 4390, 12, 12362, 2678, 74155, 15998, 11, 3881, 264, 2132, 15792, 41394, 315, 19151, 11623, 389, 279, 7479, 315, 1855, 293, 10599, 1557, 6638, 7214, 85947, 50347, 13465, 477, 70723, 13465, 320, 333, 1701, 8, 927, 1948, 13, 12040, 2512, 994, 19486, 19151, 11623, 11, 656, 539, 1095, 433, 7463, 389, 279, 74155, 323, 11, 3821, 369, 50511, 1725, 323, 656, 539, 15998, 279, 259, 1354, 11, 6062, 279, 28473, 690, 9396, 311, 279, 51370, 82, 3339, 433, 5107, 311, 4148, 1124, 627, 12, 53174, 3156, 21411, 14198, 477, 5419, 9499, 25501, 220, 5313, 11877, 356, 320, 9741, 11877, 435, 8, 389, 459, 9888, 1373, 93297, 11, 220, 914, 311, 220, 966, 4520, 627, 12, 11016, 505, 24276, 323, 7214, 38531, 619, 389, 9244, 30759, 13, 6914, 2559, 11, 49685, 11, 311, 7155, 3156, 8369, 13, 426, 10599, 1557, 28473, 527, 1888, 14333, 1418, 2103, 8369, 719, 3131, 6724, 65410, 649, 387, 9967, 304, 312, 325, 278, 481, 12466, 9145, 520, 3130, 9499, 369, 709, 311, 220, 18, 2919, 13, 1050, 20559, 304, 264, 8369, 24276, 1389, 220, 6330, 11877, 311, 220, 5245, 11877, 356, 320, 15257, 11877, 311, 220, 8652, 11877, 435, 4390, 12, 28326, 263, 93379, 6491, 4999, 16309, 25, 1306, 2978, 4322, 11, 13658, 15600, 11, 17954, 11, 17954, 28473, 11, 293, 10599, 1557, 11, 293, 10599, 1557, 31452, 11, 293, 10599, 1557, 28473, 11, 70917, 11, 18414, 11, 30311, 11, 3691, 11, 3691, 24685, 11, 3691, 7397, 11, 42293, 3347, 4108, 11, 8753, 28473, 11, 8753, 10437, 31452, 11, 10437, 16385, 11, 10437, 31452, 11, 10437, 28473, 11, 41580, 28473, 11, 20043, 15386, 16385 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 14809, 11406, 95622, 198, 791, 917, 374, 1949, 369, 49835, 323, 1070, 527, 20790, 10105, 6994, 481, 439, 1664, 13, 578, 1193, 52497, 374, 433, 753, 304, 13746, 439, 315, 279, 892, 315, 420, 4477, 11, 779, 1070, 527, 10712, 1752, 1063, 23367, 430, 2103, 1205, 6575, 704, 13, 3277, 433, 4131, 311, 8325, 29861, 389, 68278, 11, 499, 4805, 617, 279, 5845, 311, 1518, 279, 8709, 264, 2816, 5131, 706, 11, 323, 1304, 34074, 311, 1124, 11, 555, 8736, 279, 29861, 5130, 323, 18965, 11548, 369, 1115, 16406, 13, 1472, 4070, 4036, 11709, 369, 7528, 6382, 11, 3813, 11, 323, 43495, 2680, 11, 369, 2937, 11, 323, 264, 6376, 311, 3824, 2477, 5352, 11276, 13, 1789, 264, 810, 11944, 16865, 315, 264, 2816, 753, 8709, 11, 4299, 389, 43750, 8709, 505, 279, 6068, 15220, 5130, 627, 12, 1442, 499, 527, 17265, 1063, 3953, 389, 51901, 477, 13674, 11406, 11, 499, 1205, 311, 656, 433, 449, 264, 432, 23697, 30558, 16417, 627, 12, 1102, 753, 264, 16682, 398, 29585, 682, 3502, 19101, 11401, 6369, 422, 499, 3207, 1139, 430, 3169, 315, 3245, 627, 12, 1115, 56754, 86009, 2322, 55422, 15812, 6300, 389, 279, 4579, 315, 279, 9305, 315, 99903, 323, 374, 2162, 311, 927, 220, 966, 11, 931, 25958, 323, 48512, 627, 12, 4314, 527, 3629, 1633, 4062, 18808, 6957, 279, 1938, 11, 1243, 433, 753, 1203, 311, 14134, 13847, 89322, 15840, 627, 82038, 19149, 374, 1120, 220, 17, 4207, 3201, 505, 16759, 2949, 279, 4851, 315, 279, 57870, 41114, 449, 20441, 6325, 315, 36608, 13, 22674, 1291, 682, 43438, 35306, 13, 8423, 459, 4360, 449, 2500, 26792, 555, 69707, 927, 872, 3498, 323, 18965, 279, 1523, 30408, 389, 279, 1888, 11, 1243, 30230, 389, 1054, 10577, 11453, 1472, 649, 1101, 1934, 555, 6968, 264, 14162, 323, 79253, 1054, 31, 16373, 546, 391, 863, 311, 15820, 603, 6089, 13, 1442, 701, 4747, 4536, 1431, 20250, 555, 2768, 279, 69771, 18726, 3485, 11, 4587, 4299, 389, 1618, 311, 1629, 264, 4732, 1817, 323, 4430, 701, 3135, 304, 264, 1862, 11989, 627, 5159, 435, 52488, 356, 4214, 198, 39212, 9364, 505, 3566, 6108, 18632, 527, 6177, 922, 1855, 8502, 21925, 13, 578, 1561, 15456, 59015, 7528, 6382, 50829, 264, 3974, 1684, 315, 279, 36664, 439, 29921, 439, 1510, 9282, 13463, 13, 10573, 4885, 520, 15064, 43, 2130, 5657, 4580, 279, 4933, 449, 264, 6366, 12224, 753, 8071, 1684, 315, 279, 24405, 304, 279, 4092, 13, 3161, 279, 2493, 287, 70991, 69545, 27041, 11, 499, 4762, 649, 1684, 3118, 4787, 323, 9616, 279, 30296, 1990, 264, 1695, 24035, 1938, 7863, 311, 264, 3958, 24035, 1938, 13, 34937, 11348, 11105, 279, 1888, 315, 49136, 4409, 13011, 627, 64791, 34054, 11, 27864, 30241, 83695, 11, 393, 4003, 11, 323, 4969, 3536, 527, 682, 6555, 3953, 311, 1514, 927, 17375, 4199, 11, 323, 393, 4003, 323, 4969, 3536, 1541, 1431, 1397, 904, 3361, 7563, 13, 1115, 3498, 706, 1063, 810, 2671, 439, 29921, 439, 7634, 430, 649, 1520, 28696, 1521, 2835, 3953, 11, 477, 2231, 45925, 264, 4200, 1847, 3814, 892, 13, 2057, 8417, 264, 32380, 96764, 42447, 11, 7757, 5029, 13335, 527, 264, 14964, 2035, 311, 3240, 701, 2778, 13, 27140, 27258, 5133, 11, 2930, 2126, 1303, 3600, 527, 6319, 311, 636, 7931, 304, 3974, 5178, 15851, 315, 59343, 13, 23674, 311, 11191, 4729, 8336, 11, 3566, 6732, 1093, 1521, 3493, 5220, 323, 7945, 311, 872, 7318, 3697, 13, 13538, 499, 2778, 369, 264, 32429, 7583, 96764, 17240, 11, 3373, 832, 315, 279, 1888, 59863, 5029, 7757, 2816, 323, 8298, 264, 27639, 4367, 6685, 627, 36, 38367, 10640, 481, 11208, 424, 198, 791, 400, 19, 1276, 258, 2676, 11888, 15493, 21742, 5825, 13444, 37375, 1093, 47866, 991, 6429, 323, 279, 5845, 311, 1304, 1005, 315, 904, 991, 1295, 389, 904, 3622, 13, 362, 32924, 374, 264, 1664, 12, 44336, 6369, 3130, 917, 30139, 304, 7036, 311, 10721, 1093, 17366, 477, 35164, 13, 2684, 527, 264, 7029, 6727, 315, 10977, 369, 264, 7029, 6727, 315, 13146, 323, 499, 649, 1893, 701, 1866, 422, 499, 6562, 311, 627, 24374, 541, 374, 832, 315, 279, 38391, 6369, 3130, 10721, 389, 279, 1160, 13, 1102, 753, 35064, 2718, 369, 35843, 14738, 1109, 5912, 1274, 13, 1102, 753, 1120, 264, 6369, 3130, 917, 449, 11510, 315, 2671, 779, 1541, 1431, 2733, 1093, 499, 1193, 617, 311, 1304, 1005, 315, 433, 369, 16211, 13, 1115, 832, 14090, 294, 12806, 645, 304, 879, 6369, 12295, 11, 719, 1070, 527, 1063, 586, 49626, 389, 279, 3157, 422, 499, 2778, 369, 1124, 13, 4427, 1023, 4519, 2997, 7899, 12006, 11, 2167, 6743, 1990, 4040, 1732, 3697, 11, 323, 499, 4805, 387, 961, 315, 439, 1690, 16692, 439, 499, 1205, 311, 627, 10445, 7984, 4843, 15668, 9336, 77073, 198, 35197, 49, 37180, 3250, 1431, 1005, 904, 6500, 8522, 311, 29531, 264, 27041, 439, 872, 4367, 374, 43395, 43426, 13, 12361, 11, 4211, 4985, 387, 42415, 709, 2403, 3956, 449, 30139, 33347, 323, 10504, 22394, 311, 1518, 1268, 814, 9616, 11, 323, 10837, 555, 1648, 315, 264, 2478, 42835, 1385, 13, 7566, 11, 358, 7070, 6562, 311, 6994, 2038, 505, 32857, 12053, 22621, 13, 5938, 311, 1202, 3956, 11, 5220, 11, 25975, 323, 4040, 6209, 555, 384, 8232, 13, 7557, 6928, 311, 1935, 264, 1427, 520, 856, 2132, 45269, 4170, 292, 309, 11, 902, 32860, 279, 10099, 65493, 856, 523, 1982, 5510, 388, 13, 8442, 29135, 3695, 449, 682, 279, 12146, 2671, 2643, 387, 12882, 13, 578, 293, 41284, 511, 309, 27041, 6369, 4676, 374, 832, 1023, 4288, 7528, 4170, 292, 309, 6369, 2816, 430, 33095, 264, 1579, 6566, 315, 96391, 13, 9086, 1690, 315, 279, 2204, 3566, 6732, 9932, 11, 499, 3207, 35526, 709, 449, 459, 10805, 33719, 305, 1366, 58757, 398, 627, 791, 7648, 48023, 47673, 2057, 11544, 65658, 4800, 198, 791, 3717, 14994, 389, 279, 48598, 15335, 21438, 374, 220, 17, 13, 20, 7693, 35306, 13, 2893, 8010, 430, 420, 21438, 649, 21742, 1373, 323, 2867, 828, 430, 753, 264, 961, 315, 279, 507, 9740, 17, 1887, 323, 3250, 1431, 990, 449, 37581, 11, 3805, 21946, 11, 477, 5707, 2532, 3177, 6067, 13, 578, 1664, 12, 44336, 1115, 54, 269, 87, 3351, 481, 35528, 29302, 374, 264, 6573, 6727, 369, 21739, 11125, 311, 709, 872, 1841, 96391, 47044, 13, 578, 9479, 3231, 220, 19808, 63665, 374, 61149, 439, 264, 1948, 315, 279, 1584, 24858, 6730, 449, 279, 3430, 311, 2489, 627, 40, 14614, 1005, 42619, 477, 5690, 10504, 45, 11, 719, 433, 753, 539, 5115, 5150, 892, 323, 499, 4805, 1431, 5042, 6369, 311, 21739, 422, 499, 2216, 2733, 10932, 433, 439, 264, 842, 1121, 315, 7931, 527, 264, 2766, 46878, 8965, 323, 527, 539, 86359, 311, 0, 1952, 602, 41651, 26738, 11, 499, 4805, 1505, 4288, 3974, 2835, 49626, 439, 1664, 439, 63633, 2262, 6369, 12295, 902, 1304, 433, 1120, 1093, 19116, 797, 273, 11, 719, 602, 41651, 26738, 5097, 5900, 832, 3094, 5217, 13, 4740, 279, 87790, 11, 499, 527, 18719, 311, 5249, 264, 1949, 389, 8614, 2126, 1303, 477, 4333, 44830, 13, 9843, 499, 1304, 701, 6727, 11, 5042, 4299, 279, 1054, 57, 2599, 863, 3215, 323, 499, 1436, 387, 8599, 13, 1442, 499, 1120, 1093, 279, 3927, 499, 3207, 5552, 449, 11, 499, 4805, 617, 279, 5845, 311, 4299, 279, 1054, 42737, 5383, 863, 3215, 311, 1054, 64510, 863, 420, 3927, 3131, 810, 13, 1442, 499, 1541, 1431, 1093, 1124, 11, 4299, 389, 279, 1054, 14755, 1638, 863, 3215, 323, 499, 4805, 555, 912, 3445, 387, 8599, 311, 430, 1732, 1578, 13, 49074, 16047, 29790, 439, 1790, 439, 220, 717, 2835, 35496, 824, 3130, 323, 3727, 1005, 315, 459, 5446, 279, 2035, 6444, 649, 4365, 3974, 2835, 315, 5039, 21685, 389, 279, 2532, 11, 323, 433, 3250, 1431, 3430, 264, 8331, 627, 14364, 2876, 57238, 34120, 3011, 1472, 16910, 44617, 8886, 69548, 87691, 589, 198, 3947, 527, 11510, 315, 19116, 797, 273, 2204, 323, 2835, 1650, 389, 8614, 13335, 13, 7648, 315, 1124, 1101, 2187, 499, 311, 3137, 311, 40721, 22571, 13, 3861, 315, 1124, 374, 279, 13149, 49, 11206, 1649, 7427, 11, 902, 374, 1093, 18338, 5029, 323, 20682, 499, 311, 6604, 311, 3892, 15687, 4871, 264, 10015, 10074, 13, 2052, 315, 87350, 29819, 753, 3566, 2816, 323, 917, 3085, 1949, 15293, 369, 682, 46284, 3932, 13, 5112, 2597, 14765, 311, 6106, 499, 3207, 2768, 682, 12818, 5718, 13, 87350, 29819, 374, 6129, 922, 7296, 323, 17501, 430, 23628, 1541, 1431, 2231, 904, 28362, 3729, 2038, 389, 279, 2816, 753, 21542, 627, 40, 4805, 1288, 2231, 1063, 3463, 304, 279, 3974, 3674, 20628, 439, 433, 1053, 387, 79953, 311, 2555, 10980, 505, 264, 67217, 6710, 369, 2771, 4325, 5315, 439, 1070, 374, 539, 264, 3451, 606, 1404, 29076, 682, 529, 311, 279, 3917, 13, 358, 5268, 4288, 6369, 1442, 499, 90660, 5905, 311, 35058, 499, 4805, 617, 279, 5845, 311, 690, 5387, 264, 1984, 1389, 433, 374, 1695, 7434, 11, 32161, 420, 389, 8019, 797, 273, 6369, 13, 4718, 6369, 11, 1495, 11, 7855, 11, 477, 2835, 649, 5042, 387, 12715, 323, 1511, 2403, 499, 627, 2028, 45269, 282, 9802, 58107, 6730, 374, 35328, 304, 36937, 11, 21272, 1174, 323, 374, 21685, 555, 14594, 13, 13440, 499, 1120, 617, 311, 1440, 279, 2035, 311, 3190, 14373, 477, 499, 6562, 311, 3197, 264, 1949, 33873, 27834, 11879, 11, 584, 4070, 2751, 499, 9960, 13, 1472, 649, 16632, 1005, 701, 7941, 58409, 753, 24229, 311, 6056, 704, 16006, 287, 3345, 311, 499, 323, 1524, 1005, 1057, 11879, 50811, 311, 3197, 701, 6149, 505, 13962, 311, 13962, 13, 19418, 499, 1390, 6500, 1534, 27573, 15871, 3196, 304, 701, 2361, 30, 445, 17528, 10690, 374, 264, 3229, 323, 264, 31657, 315, 682, 2574, 2835, 627, 2460, 18632, 12602, 2731, 31348, 2835, 994, 1070, 374, 264, 1695, 23900, 2592, 11, 323, 3566, 75350, 7784, 1431, 904, 4788, 13, 3277, 19301, 264, 7858, 311, 1934, 11, 2567, 3201, 505, 10687, 449, 3428, 22443, 477, 459, 14560, 3392, 315, 95422, 287, 662, 45773, 18186, 1253, 11776, 701, 2835, 3411, 38593, 704, 11, 477, 11201, 11, 1436, 733, 3201, 499, 3411, 1093, 264, 12737, 88, 8417, 13, 1472, 649, 3820, 505, 3974, 17265, 6325, 315, 44985, 16759, 11, 69829, 11004, 8152, 11, 279, 16759, 15064, 1074, 11, 279, 11746, 89900, 11, 10640, 22674, 1291, 11, 323, 6325, 315, 279, 1455, 1664, 12, 44336, 10068, 29779, 5789, 627, 19805, 430, 4131, 449, 279, 356, 18485, 15714, 499, 4305, 13711, 11, 37377, 279, 9392, 11, 1005, 279, 27041, 439, 264, 4868, 6382, 323, 1935, 7397, 311, 2567, 3201, 505, 48897, 311, 701, 79953, 6678, 13, 3639, 3727, 433, 1455, 48776, 374, 1202, 52229, 389, 4580, 43495, 11, 279, 5410, 315, 902, 584, 9167, 1431, 3970, 304, 904, 27041, 1603, 13, 578, 2905, 61882, 426, 10599, 220, 19, 42, 1322, 47673, 374, 555, 3117, 279, 1455, 11646, 1647, 5349, 309, 8376, 315, 279, 15860, 11, 719, 433, 753, 37938, 279, 1193, 832, 430, 1253, 6230, 304, 220, 19, 42, 2835, 4367, 13, 1442, 499, 3207, 12304, 922, 3938, 11311, 287, 701, 17265, 4913, 11, 420, 1436, 387, 264, 1695, 5873, 13, 28993, 11, 279, 1455, 7524, 27041, 584, 6773, 311, 5357, 389, 574, 279, 2905, 61882, 12445, 356, 18485, 627, 2181, 649, 387, 1888, 422, 433, 3287, 1431, 12446, 11, 38330, 433, 1587, 814, 6118, 38913, 44355, 13, 2100, 430, 753, 856, 22118, 430, 1389, 539, 10728, 311, 617, 49727, 367, 35595, 1389, 719, 912, 5353, 311, 4295, 279, 22743, 3215, 13, 60363, 560, 433, 311, 2019, 1521, 220, 18, 69089, 527, 1022, 311, 264, 294, 376, 647, 1212, 304, 2324, 323, 7846, 1431, 617, 5190, 6699, 13, 2650, 2057, 51378, 362, 21382, 22103, 24762, 1268, 311, 2543, 1139, 264, 4200, 18328, 449, 912, 19248, 11, 682, 279, 1455, 7524, 7528, 18328, 7032, 369, 6747, 1238, 11, 323, 682, 279, 1888, 4200, 18328, 7620, 13, 1442, 264, 2883, 3966, 499, 311, 990, 520, 912, 2853, 439, 264, 1495, 6369, 5793, 499, 1288, 2567, 3201, 505, 1124, 11, 439, 1521, 19339, 3629, 1541, 1431, 6562, 311, 8175, 11, 323, 21742, 1390, 311, 617, 701, 2532, 369, 1949, 13, 1628, 11, 422, 539, 11, 1456, 279, 14329, 1495, 6369, 19339, 3857, 279, 2035, 499, 1253, 636, 7318, 311, 1495, 6369, 449, 704, 88342, 13, 22938, 23508, 7612, 1274, 311, 617, 1063, 6931, 3217, 304, 2930, 52067, 449, 15528, 10758, 7512, 323, 264, 6721, 11827, 627, 9673, 28554, 38263 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 1966, 220, 1544, 6186, 220, 7285, 16, 11, 80474, 18276, 1247, 11721, 304, 7295, 520, 279, 7295, 6150, 315, 35300, 320, 43, 937, 570, 18276, 1247, 6688, 3116, 11714, 46232, 520, 220, 20, 281, 749, 13, 505, 220, 1544, 311, 220, 966, 6186, 220, 7285, 16, 389, 1054, 63818, 323, 25003, 863, 320, 4438, 942, 220, 679, 16, 25, 220, 5162, 705, 323, 1521, 46232, 1051, 3010, 4756, 304, 9635, 439, 279, 2363, 37133, 323, 25003, 320, 30649, 220, 7285, 16, 705, 459, 91518, 315, 279, 58069, 8184, 42392, 31535, 320, 1905, 1182, 570, 18276, 1247, 5678, 1047, 6052, 311, 35998, 555, 220, 975, 7552, 220, 7285, 15, 11, 719, 568, 7882, 311, 13527, 311, 1935, 709, 264, 17136, 14561, 5383, 520, 279, 445, 937, 304, 6664, 220, 7285, 16, 13, 82603, 1550, 539, 9604, 18276, 1247, 753, 445, 937, 46232, 11, 719, 40796, 735, 4852, 269, 1047, 1027, 520, 279, 445, 937, 2533, 5936, 220, 5926, 22, 320, 998, 49643, 264, 426, 3407, 13, 304, 28989, 705, 323, 36548, 18677, 627, 3915, 12688, 220, 7285, 15, 4235, 7285, 16, 323, 279, 10683, 315, 220, 7285, 16, 11, 82603, 574, 6532, 304, 59000, 279, 1934, 315, 279, 7553, 26064, 276, 10554, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 12448, 570, 1115, 1934, 574, 8667, 555, 82603, 389, 220, 1682, 3297, 323, 1903, 2561, 389, 279, 220, 1032, 5887, 220, 7285, 16, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 18625, 4390, 1966, 220, 868, 6186, 220, 7285, 16, 11, 304, 264, 9063, 13195, 11, 82603, 14618, 311, 279, 3575, 315, 264, 6996, 315, 586, 323, 879, 10374, 439, 264, 3682, 3560, 304, 14718, 279, 18710, 11, 323, 28932, 12992, 304, 586, 323, 879, 10374, 311, 4827, 26690, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 19230, 4235, 12910, 4390, 1622, 4978, 9087, 311, 71040, 279, 47112, 315, 279, 1561, 4273, 1543, 323, 279, 17671, 304, 6186, 4235, 33877, 220, 7285, 16, 11, 323, 82603, 5678, 6244, 21892, 315, 279, 11093, 4580, 304, 7552, 3156, 568, 8636, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 19869, 570, 1952, 279, 220, 22, 5587, 220, 7285, 16, 11, 82603, 4756, 459, 4652, 2663, 1054, 2051, 87075, 369, 264, 38493, 24912, 3168, 863, 304, 279, 1561, 4273, 1543, 323, 17671, 11, 902, 10666, 279, 1162, 369, 9313, 2191, 304, 13527, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 12448, 570, 82603, 11223, 264, 61361, 315, 220, 868, 4, 389, 28648, 323, 18768, 21110, 4830, 3149, 15557, 323, 220, 20, 4, 389, 3691, 58404, 15557, 11, 14918, 311, 8108, 279, 1205, 369, 8199, 15455, 477, 3827, 12992, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 8358, 4235, 21164, 570, 84224, 88315, 6267, 264, 10052, 311, 82603, 529, 1162, 369, 9313, 2191, 11, 4756, 389, 220, 975, 5587, 220, 7285, 16, 320, 4438, 942, 220, 679, 16, 25, 220, 3753, 4390, 644, 3389, 7552, 82603, 6244, 5986, 449, 20181, 484, 20000, 323, 62937, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 20422, 4390, 1966, 220, 19, 3297, 220, 7285, 16, 11, 21377, 78, 328, 969, 73042, 574, 21489, 439, 30508, 5806, 96020, 520, 24562, 627, 3915, 3297, 311, 5887, 220, 7285, 16, 11, 40796, 735, 4852, 269, 18677, 279, 7474, 4751, 520, 279, 3907, 315, 47387, 439, 961, 315, 813, 3495, 4236, 2200, 520, 279, 445, 937, 320, 1016, 2881, 16836, 220, 3753, 22, 25, 220, 1419, 705, 323, 389, 220, 16, 6287, 220, 7285, 16, 11, 735, 4852, 269, 574, 1176, 21489, 311, 264, 13643, 16920, 1711, 2361, 520, 279, 445, 937, 320, 1016, 2881, 16836, 220, 3753, 22, 25, 220, 1544, 26, 304, 6664, 220, 7285, 17, 11, 735, 4852, 269, 6244, 264, 15690, 22103, 42043, 7889, 4390, 28259, 4235, 806, 5887, 220, 7285, 16, 25, 82603, 304, 5270, 198, 1966, 220, 966, 3297, 220, 7285, 16, 11, 82603, 76844, 369, 1561, 4356, 449, 813, 7555, 323, 813, 4034, 36513, 505, 5651, 4235, 806, 5887, 220, 7285, 16, 13, 82603, 7543, 1403, 5672, 304, 1561, 4356, 323, 2322, 12387, 7510, 323, 64243, 2737, 33305, 11799, 323, 51558, 48290, 320, 24544, 1748, 315, 279, 12411, 25820, 8925, 8, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 15515, 4390, 1622, 4978, 1047, 1027, 18719, 311, 279, 21750, 5114, 68569, 520, 279, 3907, 315, 10780, 320, 276, 9974, 1567, 8, 1405, 568, 574, 311, 3041, 264, 3137, 2663, 1054, 1844, 21093, 439, 264, 4435, 22854, 863, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 21312, 705, 323, 568, 6688, 2380, 46232, 389, 220, 1313, 5651, 11, 220, 1627, 5651, 11, 220, 17, 5887, 220, 7285, 16, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 19631, 4390, 1622, 4978, 574, 304, 10780, 505, 220, 1313, 5651, 311, 220, 17, 5887, 220, 7285, 16, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 21312, 570, 13182, 13610, 11, 82603, 11, 520, 420, 6566, 304, 813, 7422, 11, 1550, 539, 29115, 264, 3544, 13230, 586, 4375, 2068, 304, 5270, 11, 719, 3463, 2802, 4478, 4947, 1288, 387, 279, 1925, 5507, 369, 11039, 279, 18710, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 21312, 705, 323, 82603, 1766, 430, 1063, 10780, 45415, 1051, 810, 33445, 315, 586, 4375, 7620, 311, 4546, 1523, 26690, 1109, 568, 574, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 19695, 570, 4923, 307, 2053, 8050, 706, 12090, 430, 1063, 10780, 2978, 45415, 1051, 810, 1054, 1622, 4978, 1122, 1109, 82603, 863, 304, 220, 7285, 16, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 19695, 4390, 1622, 4978, 7543, 813, 1566, 9178, 304, 5270, 304, 1561, 31997, 11, 323, 389, 220, 806, 5887, 220, 7285, 16, 82603, 323, 813, 7555, 2163, 1561, 4356, 369, 9635, 11, 323, 2391, 813, 471, 45640, 82603, 6267, 264, 82758, 2663, 1054, 36, 32107, 32934, 304, 279, 3723, 4273, 863, 902, 574, 3010, 63973, 311, 279, 12801, 9675, 11, 279, 23362, 45013, 9251, 320, 36, 1741, 8, 323, 279, 8715, 315, 9635, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 21851, 4390, 972, 5887, 4235, 33246, 220, 7285, 16, 198, 4599, 82603, 6052, 311, 9635, 389, 220, 972, 5887, 11, 279, 220, 7285, 16, 1917, 6020, 11501, 574, 304, 5208, 11, 323, 82603, 574, 8965, 520, 350, 16695, 927, 279, 4038, 505, 5887, 311, 6250, 13, 1952, 220, 806, 3297, 220, 7285, 16, 320, 15145, 82603, 1047, 2163, 369, 5270, 705, 279, 58069, 6201, 735, 11063, 62294, 3223, 1047, 29368, 13, 3296, 3389, 3297, 220, 7285, 16, 11, 279, 6020, 11501, 1047, 9041, 311, 10057, 11, 1405, 279, 51659, 17319, 1201, 16654, 505, 6129, 18151, 315, 30600, 13, 1952, 220, 508, 5651, 220, 7285, 16, 11, 58463, 73409, 7376, 279, 73409, 8613, 66844, 11, 902, 574, 264, 832, 1060, 4411, 66844, 389, 6063, 11897, 312, 71188, 1392, 11, 12054, 555, 8151, 323, 11, 1306, 1063, 2926, 13957, 555, 9822, 11, 555, 37755, 1023, 17089, 13, 73409, 1101, 3984, 400, 1041, 3610, 369, 279, 51659, 17319, 1201, 13, 2030, 420, 1550, 539, 12391, 14343, 323, 555, 3389, 5651, 323, 4216, 5887, 264, 15748, 9434, 1629, 389, 7362, 9473, 4295, 10057, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 20767, 4390, 1383, 220, 1032, 5887, 220, 7285, 16, 11, 10057, 574, 9770, 311, 19678, 264, 1403, 11477, 6201, 323, 5708, 9473, 13560, 11, 1306, 279, 18678, 315, 279, 11824, 266, 8715, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 20767, 570, 13527, 574, 1101, 4295, 555, 264, 15748, 704, 5072, 315, 6864, 25, 505, 5887, 311, 6250, 279, 8715, 315, 9635, 5675, 927, 7083, 1049, 3610, 304, 30600, 304, 1202, 4879, 311, 10519, 279, 31123, 73037, 389, 279, 6761, 9473, 5410, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 20936, 4390, 644, 2077, 311, 264, 1715, 369, 9650, 505, 279, 12801, 9675, 11, 82603, 20592, 389, 220, 20, 6287, 220, 7285, 16, 11, 323, 16475, 61630, 11193, 323, 14610, 430, 433, 374, 1054, 3409, 7154, 3738, 430, 584, 4985, 733, 1022, 279, 6484, 6761, 50715, 520, 912, 29827, 2457, 863, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 21123, 4390, 791, 11501, 574, 779, 6129, 430, 38603, 352, 81973, 320, 52961, 12801, 9675, 8, 6052, 505, 7474, 25425, 389, 220, 806, 6287, 11, 323, 5762, 13147, 16659, 323, 264, 2539, 34046, 6574, 389, 220, 777, 6287, 220, 7285, 16, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 22467, 570, 90730, 389, 279, 6761, 5410, 574, 1457, 12266, 369, 13527, 439, 53675, 304, 7362, 36702, 2631, 15748, 15455, 311, 3109, 10374, 323, 3827, 12992, 11, 439, 279, 3430, 315, 53675, 505, 279, 8715, 315, 9822, 11, 279, 12411, 25820, 315, 1561, 4356, 323, 622, 13, 393, 13, 23809, 574, 872, 7631, 311, 8335, 279, 8199, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 19498, 570, 578, 12324, 2949, 279, 18993, 4717, 1101, 14763, 279, 18993, 3109, 11, 439, 279, 34046, 16626, 555, 220, 868, 311, 220, 20, 304, 12617, 315, 264, 13254, 61361, 11, 323, 1101, 264, 8857, 1053, 539, 1862, 810, 1109, 7083, 3487, 3610, 315, 8199, 15455, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 19498, 4390, 644, 6287, 220, 7285, 16, 11, 1070, 9922, 279, 1176, 315, 264, 1403, 29137, 3477, 315, 82603, 529, 362, 19409, 1082, 389, 18099, 555, 80474, 6675, 18276, 1247, 304, 279, 8486, 51183, 3074, 13, 578, 2132, 961, 9922, 304, 7552, 220, 7285, 17, 13, 82603, 1550, 10052, 311, 18276, 1247, 11, 719, 279, 63836, 315, 18276, 1247, 1051, 10213, 40815, 2533, 82603, 5246, 3782, 311, 2109, 664, 6629, 1690, 315, 279, 6848, 304, 279, 19409, 1082, 627, 1966, 220, 1187, 6287, 220, 7285, 16, 11, 38603, 352, 81973, 14454, 264, 5165, 10423, 449, 279, 49344, 11, 52481, 323, 264, 502, 5165, 18993, 1912, 627, 791, 3925, 315, 17047, 304, 13527, 304, 1521, 1667, 649, 387, 29385, 4147, 439, 11263, 512, 20, 5651, 220, 5926, 24, 4235, 1187, 6287, 220, 7285, 16, 1389, 18993, 3109, 449, 38603, 352, 81973, 439, 8013, 12801, 9675, 1966, 220, 1544, 6287, 11, 279, 502, 5165, 26283, 3109, 6773, 311, 4305, 264, 2068, 315, 61630, 11, 449, 45426, 15455, 323, 3827, 12992, 11, 323, 555, 220, 605, 6250, 220, 7285, 16, 433, 6137, 311, 4305, 1521, 11193, 627, 1187, 6287, 4235, 1544, 6664, 220, 7285, 16, 1389, 5629, 5165, 10423, 449, 38603, 352, 81973, 439, 8013, 12801, 9675, 449, 49344, 11, 52481, 323, 264, 502, 5165, 18993, 1912, 198, 1544, 6664, 220, 7285, 16, 1389, 3723, 15422, 4689, 6355, 198, 20, 6841, 220, 7285, 16, 4235, 22, 5651, 220, 7285, 20, 1389, 279, 10657, 5165, 10423, 198, 22, 5651, 220, 7285, 20, 4235, 1591, 3297, 220, 7285, 22, 1389, 31552, 56018, 374, 12801, 9675, 315, 13527, 627, 1966, 220, 845, 6250, 11, 82603, 20669, 264, 1912, 315, 37761, 304, 279, 4783, 315, 26667, 11, 323, 568, 39025, 279, 61630, 8199, 439, 81789, 320, 19847, 307, 2053, 8050, 220, 2550, 17, 25, 220, 19498, 4235, 19615, 4390, 4071, 7000, 315, 279, 11193, 18306, 555, 279, 502, 5165, 3109, 10717, 279, 6864, 11213, 505, 13527, 11, 323, 994, 279, 8715, 315, 9635, 5675, 927, 7083, 972, 3610, 389, 220, 972, 6250, 11, 433, 574, 6773, 311, 27343, 279, 6761, 5625, 3225, 315, 279, 31123, 73037, 1306, 38245, 389, 220, 777, 6250, 220, 7285, 16, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 22369, 4390, 1966, 220, 508, 6250, 279, 3109, 7376, 430, 13527, 1053, 15673, 279, 6761, 9473, 5410, 279, 1828, 1938, 11, 902, 1243, 7077, 389, 7159, 320, 1691, 6250, 220, 7285, 16, 8, 994, 264, 7573, 12028, 320, 6219, 14988, 8, 8766, 574, 5946, 304, 20302, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 22369, 4390, 1622, 4978, 4024, 311, 7295, 323, 20186, 505, 220, 1691, 6250, 311, 220, 605, 6664, 220, 7285, 16, 11, 994, 568, 18677, 2380, 16659, 315, 279, 23362, 45013, 9251, 753, 10554, 389, 23362, 8245, 439, 1664, 439, 264, 6574, 315, 279, 7089, 10349, 320, 44, 540, 4297, 713, 220, 2550, 17, 25, 220, 21458, 570, 82603, 294, 1619, 449, 279, 12801, 9675, 389, 220, 20, 6664, 220, 7285, 16, 323, 1243, 12263, 46296, 10058, 520, 921, 5757, 320, 19847, 307, 2053, 8050, 220, 2550, 17 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2181, 1253, 387, 90873, 1314, 1457, 11, 719, 433, 753, 892, 311, 1212, 7422, 922, 7474, 60299, 13, 34969, 527, 2561, 1475, 1023, 8079, 505, 220, 21, 12, 23, 7314, 5587, 220, 1682, 339, 627, 40, 38023, 3371, 13835, 11, 1694, 304, 72584, 2747, 2391, 279, 1400, 5086, 7474, 389, 3335, 11, 2103, 6835, 757, 279, 33147, 311, 6136, 28036, 323, 5593, 36536, 13, 4314, 3838, 19837, 11, 323, 279, 93297, 31990, 2795, 220, 9992, 320, 258, 279, 57823, 570, 358, 1120, 5918, 279, 1566, 4950, 315, 279, 3280, 13, 358, 1097, 2103, 539, 2771, 3508, 311, 1095, 433, 2503, 323, 3868, 369, 10683, 48114, 315, 60399, 477, 311, 733, 449, 19837, 323, 824, 2734, 10522, 13, 1102, 374, 279, 8706, 3686, 323, 358, 1550, 433, 682, 555, 7182, 1701, 709, 682, 315, 279, 57823, 59872, 320, 18, 8, 505, 4216, 11, 5209, 323, 3389, 420, 7474, 11, 433, 374, 682, 34490, 357, 39134, 1314, 1457, 719, 279, 523, 953, 527, 21955, 279, 11364, 63000, 323, 23367, 430, 41972, 4871, 13, 578, 74534, 2798, 304, 682, 279, 93740, 574, 220, 1954, 12628, 13, 358, 1550, 279, 5252, 24812, 61253, 1749, 627, 644, 1690, 5596, 315, 279, 3224, 67740, 11012, 527, 6646, 1054, 11099, 73048, 863, 323, 7510, 527, 3515, 1124, 7108, 11, 439, 304, 75662, 11, 10619, 11, 477, 527, 45647, 40962, 11, 439, 304, 420, 2816, 3770, 627, 8140, 13863, 1120, 8741, 311, 387, 304, 279, 4156, 20085, 13, 2684, 527, 912, 89864, 2403, 3815, 779, 11, 719, 584, 617, 1027, 19352, 3309, 311, 4148, 1057, 13863, 505, 279, 4156, 20085, 11, 3309, 311, 10533, 323, 31107, 1057, 4156, 20085, 11, 21699, 449, 35018, 11, 323, 68610, 369, 279, 1566, 2380, 4038, 2085, 42535, 13, 3277, 584, 17644, 311, 1052, 10405, 369, 26425, 520, 279, 38476, 10289, 6011, 11, 584, 1051, 32627, 520, 323, 3309, 311, 5387, 13, 1102, 574, 1071, 555, 279, 586, 4398, 9640, 430, 1054, 576, 374, 264, 8431, 4360, 11, 539, 9337, 113068, 33413, 13, 2100, 358, 1097, 1648, 5655, 1139, 2574, 15061, 1523, 11, 2011, 387, 279, 48602, 31657, 304, 757, 13, 578, 17817, 706, 1027, 16075, 520, 220, 9992, 94001, 369, 2919, 323, 358, 1097, 12756, 304, 51517, 11, 358, 5602, 19151, 939, 6572, 430, 1051, 3604, 93972, 1306, 13353, 279, 27402, 13, 2435, 1051, 27724, 4999, 1163, 875, 729, 527, 3815, 2294, 13, 1226, 1047, 311, 2231, 832, 304, 34619, 4212, 4470, 25402, 13, 358, 9107, 279, 83170, 323, 1364, 1047, 56994, 92723, 505, 1077, 11013, 13, 1226, 7086, 1077, 13805, 398, 11, 323, 56651, 2231, 1077, 1139, 58229, 66678, 13, 358, 1781, 430, 499, 527, 10171, 311, 656, 433, 369, 220, 17, 2919, 11, 358, 1436, 1193, 46753, 832, 323, 264, 4376, 13, 9119, 7054, 11, 47745, 37770, 11, 3816, 77419, 36443, 11, 31781, 648, 323, 33199, 434, 527, 682, 3815, 9765, 38662, 1664, 13, 9119, 7054, 374, 7060, 449, 1694, 13061, 709, 323, 11953, 2212, 555, 350, 17137, 689, 11, 856, 220, 20, 1060, 2362, 13, 3005, 706, 264, 502, 50671, 11, 20806, 279, 54623, 704, 304, 279, 6693, 1981, 627, 57789, 709, 520, 3816, 10564, 7127, 753, 13926, 800, 13, 18945, 7830, 512, 10115, 374, 7347, 0, 7290, 220, 21789, 12, 5037, 24, 311, 4254, 4999, 51, 2757, 315, 296, 24060, 30, 12268, 701, 37125, 1139, 264, 13863, 304, 1120, 264, 2478, 4207, 11, 1701, 10213, 47658, 7384, 13, 1226, 690, 1005, 279, 11071, 15975, 28075, 15105, 311, 1977, 264, 13863, 3871, 1418, 584, 4358, 1268, 433, 4375, 13, 3580, 28036, 5918, 449, 420, 1749, 304, 3347, 1667, 323, 1268, 814, 527, 31301, 1457, 13, 1472, 649, 1977, 1521, 36536, 323, 6136, 1124, 279, 1633, 1890, 1938, 0, 400, 914, 198, 4516, 8839, 323, 1219, 65664, 5651, 220, 21, 339, 220, 22, 12, 24, 5298, 198, 24762, 1268, 311, 33508, 279, 7720, 315, 11990, 315, 8162, 12, 76991, 311, 14553, 701, 54696, 304, 279, 13863, 13, 1115, 26129, 690, 1520, 499, 3619, 279, 23965, 315, 17614, 323, 4639, 499, 1268, 311, 5510, 701, 17614, 779, 430, 433, 649, 5510, 499, 13, 362, 1401, 961, 315, 420, 374, 3339, 1695, 57823, 779, 584, 690, 1977, 264, 57823, 27402, 3871, 11, 41480, 402, 6427, 279, 23347, 4920, 433, 779, 499, 649, 1304, 264, 4106, 27402, 1475, 892, 13, 1628, 1120, 369, 264, 12306, 11, 584, 690, 1101, 1304, 1063, 57823, 15600, 0, 400, 914, 198, 3792, 17884, 63226, 729, 5651, 220, 1032, 339, 220, 22, 12, 24, 5298, 198, 1163, 875, 729, 649, 387, 264, 2763, 315, 990, 11, 477, 814, 649, 656, 264, 2763, 315, 990, 369, 499, 13, 15281, 1268, 311, 1005, 3700, 12214, 10745, 16565, 311, 743, 709, 264, 8915, 11, 3428, 1474, 25577, 5133, 449, 701, 13863, 323, 54623, 13, 1226, 690, 3504, 682, 279, 32874, 315, 10494, 54623, 11, 4857, 264, 3428, 1474, 25577, 83170, 11, 323, 27548, 311, 12077, 7017, 3691, 13, 400, 914, 198, 3648, 520, 13926, 6825, 18945, 7830, 198, 25310, 323, 55391, 25, 362, 743, 315, 26610, 287, 4455, 369, 1884, 15107, 311, 36536, 198, 16834, 13520, 11, 279, 13863, 11, 323, 1057, 5016, 4443, 34779, 311, 1057, 36536, 439, 39948, 323, 1646, 584, 690, 19874, 26610, 287, 12823, 430, 2187, 369, 7191, 28664, 2987, 315, 3217, 1555, 264, 9302, 3445, 13, 763, 1023, 4339, 11, 27116, 864, 444, 36028, 315, 13633, 323, 2586, 4048, 311, 5603, 323, 3335, 701, 7982, 3280, 304, 264, 11782, 1648, 13, 1054, 11180, 701, 4059, 323, 279, 2800, 690, 1833, 51279, 198, 825, 414, 1389, 15281, 311, 2489, 279, 6206, 19567, 311, 279, 7351, 315, 279, 8071, 13, 1115, 6276, 499, 311, 3335, 1148, 499, 1518, 19579, 13633, 1148, 499, 1781, 499, 1518, 13, 578, 5933, 1584, 11, 10187, 23347, 11, 44696, 2968, 11, 323, 10651, 430, 690, 4585, 682, 315, 701, 38940, 3508, 477, 539, 814, 527, 26569, 627, 23514, 1389, 11699, 279, 31257, 430, 14921, 13, 2175, 1139, 279, 28591, 315, 6302, 323, 12602, 279, 3752, 323, 19451, 315, 3673, 304, 279, 13863, 304, 832, 7351, 13, 1472, 4805, 63179, 279, 1054, 89, 1791, 60171, 1918, 863, 315, 430, 22643, 1167, 86670, 304, 4330, 4520, 11, 2380, 11, 832, 11, 323, 5616, 220, 966, 6622, 627, 2519, 18410, 1389, 61328, 2380, 1486, 323, 1403, 1486, 13356, 13, 15281, 311, 1005, 1584, 311, 923, 8149, 311, 701, 38940, 13, 3011, 753, 1314, 11, 279, 1584, 2430, 323, 4785, 320, 23449, 2136, 8, 649, 2231, 1274, 323, 62517, 304, 2035, 2754, 1330, 627, 99004, 433, 682, 32255, 25, 71718, 304, 84922, 1389, 5560, 279, 38940, 2884, 520, 13926, 6825, 18945, 7830, 311, 923, 311, 701, 4443, 4526, 315, 7185, 9660, 311, 1893, 64241, 5448, 430, 95263, 701, 19459, 11, 16388, 323, 11704, 315, 701, 13863, 13, 320, 3112, 11415, 701, 502, 26610, 287, 7512, 315, 3388, 340, 31998, 12, 279, 11493, 279, 2731, 13, 5513, 1374, 1888, 13, 33739, 499, 617, 2294, 627, 7927, 7075, 4477, 82036, 8839, 12, 18726, 25, 97438, 11, 23423, 11, 24915, 11, 61203, 320, 543, 12562, 11, 21483, 11, 323, 72003, 288, 315, 1906, 3339, 82036, 8839, 10788, 340, 23958, 23665, 311, 4128, 389, 12, 24710, 25, 6710, 315, 11113, 4580, 11, 264, 2363, 11, 12829, 11071, 198, 10673, 3993, 12, 31467, 11, 12304, 11, 48539, 5382, 11, 22999, 11, 57169, 11, 98208, 198, 966, 3, 824, 538, 11, 2586, 832, 2586, 682, 198, 38, 8506, 323, 32926, 57149, 198, 48567, 374, 810, 2523, 449, 264, 9168, 315, 13378, 304, 1450, 0, 15281, 922, 3700, 12214, 10745, 12823, 323, 13863, 10631, 520, 279, 13926, 6825, 18945, 7830, 627, 28259, 220, 1591, 11, 5887, 220, 717, 11, 5887, 220, 777, 11, 5033, 220, 17, 477, 5033, 220, 845, 198, 5966, 2046, 304, 60299, 538, 584, 9687, 810, 922, 11071, 15975, 28075, 11, 477, 5252, 56057, 60299, 13, 1115, 374, 264, 1648, 315, 6968, 264, 13863, 4950, 2085, 279, 1205, 369, 1054, 87396, 863, 477, 264, 11092, 50108, 315, 1948, 17614, 13, 41812, 11, 499, 6324, 701, 20085, 12571, 304, 1778, 439, 1648, 430, 11705, 264, 9257, 17614, 369, 701, 11012, 13, 763, 538, 11, 584, 3779, 264, 2678, 3158, 311, 459, 2736, 6484, 4950, 627, 12, 1054, 13553, 863, 12571, 1389, 38241, 47503, 9257, 11, 1093, 16763, 1206, 2877, 826, 11, 3691, 12571, 11, 477, 893, 554, 198, 12, 1054, 65561, 863, 12571, 1389, 38241, 12782, 9257, 11, 1093, 11141, 198, 12, 73841, 38600, 198, 12, 93091, 477, 76518, 198, 1687, 1176, 22982, 1523, 264, 6324, 315, 3691, 12571, 11, 922, 220, 17, 15271, 12314, 11, 1243, 3090, 291, 433, 304, 627, 5971, 11, 584, 3779, 50917, 9863, 315, 55043, 11, 922, 1403, 477, 2380, 13931, 12314, 13, 578, 55043, 13912, 70535, 477, 16763, 505, 3794, 1555, 11, 779, 499, 1541, 1431, 1205, 311, 4018, 3201, 279, 24905, 30456, 13, 21335, 420, 6324, 264, 1695, 1317, 61792, 449, 279, 38600, 477, 1524, 5387, 433, 369, 264, 5743, 315, 2919, 627, 12487, 11, 25631, 13931, 315, 6307, 323, 14198, 11, 922, 1403, 315, 1855, 11, 73841, 304, 1990, 1855, 6324, 627, 2675, 649, 842, 449, 1063, 8220, 320, 8337, 287, 374, 539, 5995, 8, 57823, 323, 1063, 11141, 311, 3504, 279, 1948, 627, 55747, 287, 649, 387, 2884, 1314, 3201, 627, 2675, 649, 11071, 15975, 331, 904, 892, 315, 279, 1060, 13, 578, 13931, 690, 1464, 1523, 927, 892, 323, 16343, 264, 2697, 810, 311, 3041, 499, 264, 2216, 9257, 17614, 499, 649, 13863, 304, 1060, 1306, 1060, 627, 40, 4070, 1027, 5403, 922, 323, 1027, 61914, 555, 279, 4623, 315, 36760, 54623, 369, 264, 1418, 1457, 13, 5659, 51970, 29868, 311, 10455, 63602, 753, 8961, 11, 311, 31033, 2582, 2742, 753, 2294, 4652, 304, 578, 1561, 64874, 11, 92113, 20670, 617, 64238, 459, 2217, 44438, 779, 50013, 430, 433, 1288, 387, 20041, 555, 8661, 31760, 49216, 8140, 3217, 304, 279, 9420, 5383, 1903, 757, 264, 2697, 810, 24450, 311, 636, 1063, 54623, 315, 1057, 1866, 13, 8155, 7474, 11, 72584, 2747, 32828, 279, 48721, 323, 779, 1457, 36760, 54623, 527, 5535, 389, 9333, 9863, 315, 3424, 26, 1057, 220, 23, 11, 931, 9518, 4579, 20085, 649, 26267, 387, 2162, 311, 3116, 54623, 627, 1163, 5908, 1051, 704, 315, 279, 3488, 369, 603, 1606, 1057, 832, 1060, 6418, 77757, 374, 264, 2294, 296, 89105, 323, 358, 4510, 1884, 7512, 1053, 18182, 6920, 927, 1139, 813, 67029, 449, 279, 69089, 13, 358, 11713, 7893, 10145, 11, 1054, 15247, 425, 863, 54623, 11, 719, 304, 279, 33953, 8621, 459, 22705, 389, 73392, 369, 305, 729, 430, 527, 3995, 719, 2736, 35744, 13, 1102, 6656, 704, 1057, 502, 20229, 1051, 5496, 1120, 927, 264, 14929, 3201, 627, 2409, 856, 1008, 19089, 358, 1243, 1047, 922, 220, 17, 2919, 311, 636, 264, 83170, 323, 1629, 5644, 369, 279, 54623, 13, 358, 1047, 2736, 6773, 389, 4560, 311, 1505, 459, 2362, 1514, 7830, 320, 8370, 358, 1766, 369, 400, 1272, 1555, 73392, 8, 323, 32652, 1113, 433, 13, 578, 3070, 449, 279, 1514, 7830, 1051, 3169, 3403, 311, 6068, 433, 1022, 369, 757, 323, 11, 304, 279, 11422, 323, 1524, 264, 2697, 274, 19510, 11, 358, 57445, 389, 12035, 28392, 11, 7732, 11, 323, 1063, 1023, 99600, 13, 358, 4805, 1772, 810, 922, 279, 40688, 83170, 9364, 2500, 892, 11, 719, 1618, 527, 264, 2478, 9364, 315, 433, 304, 5208, 627, 791, 54623, 527, 6380, 11, 323, 8493, 1455, 315, 872, 892, 1949, 82105, 304, 279, 36760, 13, 358, 1097, 39019, 2103, 505, 279, 9178, 779, 358, 4805, 1456, 311, 65836, 420, 1772, 304, 279, 1828, 5743, 315, 2919, 13, 1226, 4070, 17454, 2380, 19335, 1855, 1938, 323, 814, 527, 18406, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 10001, 220, 16, 311, 220, 23, 315, 220, 23, 198, 6998, 25, 7250, 482, 622, 485, 278, 198, 2437, 12, 914, 12, 1049, 24, 11, 220, 1721, 25, 845, 6912, 674, 16, 198, 45437, 482, 622, 485, 278, 198, 16397, 279, 864, 43733, 37635, 11, 3754, 11351, 3782, 704, 449, 330, 49954, 23925, 1, 311, 31990, 586, 9647, 13, 6104, 279, 1314, 20611, 12248, 5780, 14362, 4473, 922, 36635, 323, 78421, 330, 37353, 71191, 433, 704, 315, 279, 6246, 1, 1855, 11249, 11, 279, 23925, 2744, 8710, 1120, 279, 14329, 13, 578, 6355, 3135, 1051, 279, 1620, 36543, 304, 1405, 430, 8903, 66529, 627, 3923, 264, 2294, 1648, 311, 20461, 1268, 5076, 1521, 1314, 20611, 79306, 1051, 323, 1268, 704, 315, 5916, 449, 279, 39542, 586, 814, 1051, 323, 1268, 73521, 872, 1866, 18463, 2216, 1051, 323, 527, 304, 279, 6800, 7036, 627, 90243, 596, 8982, 555, 7250, 706, 1578, 8208, 1234, 279, 1890, 36752, 13, 3639, 775, 1053, 499, 1755, 505, 26044, 3400, 309, 488, 719, 813, 24634, 1579, 50098, 14362, 484, 922, 10374, 86907, 323, 1268, 7250, 596, 8982, 574, 5128, 311, 3821, 719, 49101, 20278, 13, 578, 1890, 2362, 4384, 7937, 312, 339, 27456, 430, 33291, 810, 323, 810, 19994, 2410, 1306, 1855, 315, 7250, 596, 44440, 627, 1169, 596, 1427, 520, 18396, 596, 10885, 23925, 1131, 3409, 358, 7373, 1755, 279, 67164, 1529, 5100, 311, 387, 922, 1268, 23925, 527, 1193, 23354, 47603, 323, 617, 912, 32939, 11, 7389, 315, 3388, 11, 279, 7230, 832, 8158, 11815, 813, 477, 1077, 1866, 15376, 78162, 627, 60003, 25, 78318, 88, 86703, 3346, 315, 8982, 87672, 29251, 315, 4900, 7250, 24315, 6787, 369, 14892, 449, 279, 7100, 11501, 13, 13538, 279, 8982, 11, 220, 5538, 3346, 12054, 627, 56555, 25, 220, 6086, 4, 315, 8982, 85396, 388, 2019, 814, 1862, 7250, 596, 7100, 6787, 439, 33740, 304, 279, 8982, 11, 449, 1193, 220, 1114, 4, 2403, 13, 482, 459, 50013, 220, 5313, 4, 1071, 279, 8982, 1903, 1124, 2733, 810, 37036, 922, 279, 5216, 279, 3224, 374, 19946, 304, 627, 7816, 5199, 3582, 1436, 387, 38481, 622, 485, 278, 596, 1772, 8982, 13010, 8982, 13, 578, 13063, 527, 20558, 311, 1505, 264, 7899, 13, 36635, 574, 12153, 311, 387, 279, 832, 1131, 20577, 258, 1344, 801, 12616, 389, 279, 5426, 6566, 1131, 26597, 57493, 706, 1027, 10213, 10535, 304, 813, 14847, 323, 2216, 539, 6982, 5678, 13171, 315, 1694, 279, 7899, 627, 4516, 1828, 893, 709, 38481, 622, 485, 278, 13, 15148, 813, 8982, 5439, 4972, 311, 7250, 596, 30, 9393, 315, 856, 892, 304, 452, 91121, 11, 358, 617, 8272, 264, 2766, 315, 813, 7076, 323, 31387, 1790, 304, 813, 5603, 719, 358, 690, 2019, 430, 813, 892, 439, 279, 3063, 1885, 72407, 18396, 2163, 1461, 3411, 520, 264, 4948, 13471, 13, 3092, 9647, 719, 311, 4546, 709, 69756, 439, 264, 1648, 311, 8881, 5304, 4754, 7250, 3775, 826, 574, 1120, 2216, 704, 315, 5916, 13, 358, 1541, 956, 1518, 1268, 568, 649, 506, 50922, 1082, 5678, 505, 420, 29859, 8982, 13, 2360, 10885, 23925, 389, 420, 282, 23568, 719, 1618, 527, 279, 6170, 505, 20611, 24217, 11919, 13585, 51623, 512, 13396, 964, 473, 34993, 25, 1102, 1373, 2731, 1109, 433, 35408, 64461, 420, 574, 539, 38481, 622, 485, 278, 24315, 12474, 87068, 4545, 627, 45, 33004, 78725, 715, 25, 578, 9889, 574, 539, 43660, 627, 15594, 14344, 735, 5726, 9331, 1428, 45368, 25, 622, 485, 278, 3287, 16485, 617, 264, 6140, 627, 41, 52, 1111, 29015, 40, 44421, 25, 9576, 819, 627, 2688, 1193, 1550, 7250, 3136, 311, 15196, 304, 813, 3560, 439, 4900, 719, 568, 1120, 2231, 5270, 389, 813, 1203, 323, 5270, 13452, 279, 1648, 430, 11321, 13, 2030, 1101, 279, 13063, 555, 14691, 311, 4465, 420, 24151, 323, 38643, 16026, 369, 7250, 596, 8060, 323, 8617, 5270, 596, 26564, 321, 554, 11, 439, 3970, 1555, 622, 485, 278, 596, 6170, 11, 1193, 9731, 311, 3219, 279, 18598, 810, 47166, 627, 10156, 3782, 4028, 6941, 79561, 596, 18149, 389, 622, 485, 278, 596, 10535, 6170, 512, 6486, 7635, 78687, 4012, 50, 25, 69149, 11, 539, 779, 1664, 13, 1472, 1440, 11, 358, 1781, 38481, 622, 485, 278, 374, 264, 1633, 26455, 37038, 11, 323, 358, 34134, 279, 39535, 1606, 358, 3463, 433, 574, 31555, 39056, 13, 2030, 311, 2586, 709, 520, 420, 4545, 304, 3925, 449, 264, 51451, 330, 87863, 374, 279, 3575, 1359, 330, 906, 649, 956, 7095, 279, 6918, 3109, 1, 482, 433, 596, 1120, 264, 21426, 369, 279, 9540, 8722, 13, 578, 3224, 374, 304, 264, 22743, 1314, 1457, 13, 2435, 1253, 539, 1093, 279, 1648, 279, 12643, 617, 5946, 279, 39535, 4121, 11, 719, 430, 4623, 430, 584, 2351, 1120, 16926, 482, 430, 3109, 374, 2133, 311, 617, 912, 3560, 11, 279, 6918, 3109, 706, 912, 3560, 304, 420, 11, 430, 482, 763, 264, 4545, 994, 1193, 279, 6918, 3109, 374, 3604, 2466, 3403, 311, 656, 6392, 11, 311, 1120, 10240, 682, 430, 323, 1120, 2019, 330, 87863, 374, 279, 3575, 11, 21948, 11, 96208, 7341, 11, 41421, 52221, 10374, 1359, 433, 596, 1120, 264, 1376, 315, 99172, 2191, 13, 1102, 596, 1120, 539, 1405, 279, 3224, 374, 11, 433, 596, 539, 1405, 279, 3938, 315, 279, 3224, 374, 13, 2684, 596, 459, 50938, 12, 69555, 11249, 13, 4427, 1274, 2019, 279, 9540, 8722, 5675, 1202, 1648, 1606, 814, 2751, 2288, 24070, 13, 4427, 1274, 2019, 814, 2751, 2288, 16682, 477, 2288, 15692, 13, 1283, 15849, 814, 2751, 2288, 24070, 11, 323, 779, 568, 596, 3339, 430, 1162, 13, 358, 1781, 433, 596, 35118, 11, 323, 358, 1120, 1781, 433, 596, 264, 21426, 369, 279, 4717, 13, 358, 1120, 1781, 433, 596, 34707, 1314, 1457, 627, 2437, 12, 914, 12, 1049, 24, 11, 220, 2318, 25, 4331, 6912, 674, 17, 198, 697, 25, 7250, 482, 622, 485, 278, 198, 42575, 527, 779, 3958, 430, 499, 617, 311, 1427, 520, 1148, 8982, 16483, 1781, 5380, 2170, 16431, 14618, 704, 304, 2500, 4617, 11, 499, 2351, 810, 18290, 922, 1742, 927, 20278, 627, 2409, 10845, 268, 596, 274, 92497, 287, 3021, 31017, 16038, 11, 2225, 44440, 1051, 5128, 32161, 627, 45437, 11, 439, 2744, 574, 264, 2294, 19114, 11, 719, 813, 3575, 574, 20278, 13, 1283, 282, 26902, 389, 1403, 1401, 3585, 1198, 813, 32795, 729, 950, 1486, 922, 97330, 9572, 323, 1268, 568, 574, 2133, 311, 2343, 369, 682, 315, 279, 6787, 13, 2057, 2019, 584, 690, 1505, 264, 27208, 369, 9572, 5039, 15400, 83843, 323, 264, 6996, 315, 6677, 315, 1148, 9572, 3604, 374, 13, 72131, 11, 555, 5042, 5605, 568, 574, 2133, 311, 22472, 3827, 18808, 369, 279, 1948, 220, 17, 4, 315, 19602, 97063, 323, 22472, 4376, 279, 29287, 555, 279, 842, 315, 374, 1176, 4751, 44204, 3371, 279, 4459, 3446, 13, 13266, 5219, 656, 539, 1524, 2586, 3345, 311, 7999, 709, 13, 432, 51226, 13426, 11093, 449, 279, 10374, 568, 374, 57515, 73115, 3109, 13254, 13, 578, 1486, 568, 2163, 704, 574, 2867, 1198, 568, 374, 323, 690, 4933, 682, 3169, 315, 13426, 3131, 420, 39621, 374, 2884, 627, 36328, 473, 3972, 574, 5710, 389, 922, 622, 485, 278, 1198, 2294, 389, 5684, 11, 719, 49101, 15864, 13, 578, 2077, 11, 912, 5030, 1148, 4717, 374, 304, 2410, 11, 374, 2744, 520, 264, 49836, 323, 433, 48707, 1520, 4205, 430, 622, 485, 278, 574, 33341, 323, 9508, 1633, 23418, 64116, 25, 1115, 1772, 1253, 6782, 3769, 15538, 311, 1884, 889, 6996, 38467, 11, 28485, 11, 4279, 5647, 323, 5255, 12899, 61001, 477, 50750, 2426, 6029, 13, 2052, 12518, 323, 55936, 13282, 36881, 1253, 387, 3917, 311, 32465, 7766, 539, 7347, 311, 25, 51705, 11, 46450, 11, 682, 7713, 323, 77315, 79866, 10753, 627, 2437, 12, 914, 12, 1049, 24, 11, 220, 806, 25, 2318, 6912, 674, 18, 198, 697, 25, 7250, 482, 622, 485, 278, 198, 38, 36749, 2643, 1390, 311, 3868, 3156, 1274, 1047, 892, 311, 21552, 1148, 7250, 1071, 1603, 568, 1654, 278, 1171, 279, 3814, 264, 2450, 627, 4897, 596, 1148, 499, 636, 994, 499, 1193, 9020, 311, 20352, 323, 872, 28495, 4879, 311, 16292, 279, 3814, 264, 3243, 11, 3515, 311, 733, 1505, 8982, 16483, 4619, 315, 11969, 311, 3041, 279, 57949, 709, 311, 7250, 596, 4339, 1566, 3814, 627, 3915, 279, 10314, 25, 330, 19931, 82, 11299, 389, 8079, 389, 41698, 4900, 24448, 7250, 3984, 2478, 502, 43775, 922, 1268, 813, 8735, 1053, 31284, 709, 279, 8752, 304, 264, 3682, 8982, 1603, 8151, 10246, 22105, 320, 438, 23127, 11, 369, 856, 220, 10841, 74, 596, 25491, 8, 832, 315, 813, 47682, 552, 690, 2586, 704, 323, 3009, 449, 1521, 46089, 21237, 922, 279, 8752, 323, 3604, 2019, 2555, 430, 3727, 5647, 311, 9935, 6825, 13, 7250, 1935, 5296, 1198, 279, 11380, 1938, 374, 539, 927, 779, 4587, 1304, 420, 1314, 64116, 25, 1115, 1772, 1253, 6782, 3769, 15538, 311, 1884, 889, 6996, 38467, 11, 28485, 11, 4279, 5647, 323, 5255, 12899, 61001, 477, 50750, 2426, 6029, 13, 2052, 12518, 323, 55936, 13282, 36881, 1253, 387, 3917, 311, 32465, 7766, 539, 7347, 311, 25, 51705, 11, 46450, 11, 682, 7713, 323, 77315, 79866, 10753, 627, 2437, 12, 914, 12, 1049, 24, 11, 220, 717, 25, 2839, 5975, 674, 19, 198, 697, 25, 7250, 482, 622, 485, 278, 198, 5519, 499, 2216, 1781, 430, 422, 7250, 3463, 433, 574, 3062, 3403, 311, 37663, 704, 2500, 220, 17, 12, 18, 4, 8895, 3432, 430, 568, 1053, 39332, 264, 1984, 430, 1436, 1069, 630, 304, 430, 11827, 30, 8155, 3814, 574, 1790, 11493, 1109, 430, 323, 7250, 706, 11510, 315, 1274, 568, 649, 37604, 704, 311, 279, 586, 8071, 323, 26085, 27152, 459, 26921, 423, 3387, 53226, 8982, 994, 568, 3966, 433, 627, 791, 8206, 374, 1566, 3814, 11, 323, 358, 617, 6818, 311, 6782, 856, 36232, 369, 279, 4754, 315, 279, 1828, 220, 23, 1667, 11, 6688, 603, 264, 40942, 315, 2555, 8294, 1109, 584, 11, 520, 3325, 304, 856, 19569, 11, 617, 3970, 13, 1102, 35710, 757, 315, 10307, 36845, 35848, 19868, 430, 220, 508, 4579, 91434, 389, 279, 220, 972, 339, 14512, 1667, 4227, 311, 3243, 832, 315, 813, 549, 815, 13, 39083, 48854, 13, 1472, 7020, 2555, 8294, 1109, 2324, 574, 304, 430, 91434, 323, 574, 304, 279, 2322, 11489, 430, 433, 3952, 311, 1304, 430, 91434, 627, 40, 5602, 304, 78267, 596, 6548, 11, 386, 641, 467, 596, 6548, 323, 1524, 60080, 596, 323, 38180, 596, 13, 4314, 4279, 29036, 1440, 814, 1051, 323, 527, 24059, 2555, 11493, 1109, 5694, 13, 7250, 706, 279, 5845, 311, 539, 1193, 387, 264, 2294, 37038, 719, 706, 279, 4754, 311, 84375, 1148, 433, 374, 311, 387, 264, 37038, 627, 2746, 499, 3287, 956, 1518, 430, 1566, 3814, 11, 499, 1051, 2288, 11920, 922, 36249, 287, 701, 7075, 5708, 48087, 779, 430, 499, 1436, 4068, 6288, 389, 3432, 596, 28174, 627, 45437, 98953, 20158, 311, 622, 485, 278, 1120, 1903, 433, 1524, 49479, 311, 757, 323, 1455, 3885, 2737, 1690, 389, 279, 1314, 13, 7250, 374, 264, 14880, 994, 433, 4131, 311, 11759, 323, 499, 649, 3136, 449, 279, 1742, 927, 20278, 26964, 323, 47729, 9013, 389, 279, 423, 3387, 439, 264, 19179, 315, 813, 32858, 719, 430, 374, 2216, 3411, 2678, 1521, 2919, 719, 1243, 1578, 279, 91536, 9309, 374, 10671, 9333, 323, 9333, 449, 1855, 12579, 1938, 627, 2437, 12, 914, 12, 1049, 24, 11, 220, 717, 25, 1691, 5975, 674, 20, 198, 697, 25, 7250, 482, 622, 485, 278, 198, 46, 88, 13, 816, 723, 64, 379, 723, 64, 379, 723, 64, 627, 81655, 315, 1529, 1894, 11, 1120, 1093, 7250, 596, 8982, 627, 1, 39115, 369, 279, 3938, 1, 44204, 5155, 856, 220, 10841, 74, 13, 358, 15890, 2512, 889, 433, 374, 304, 5274, 11, 358, 1120, 1390, 279, 3575, 8521, 627, 10156, 1606, 499, 2751, 459, 7250, 2653, 10539, 1566, 3814, 44204, 3152, 279, 2800, 315, 279, 3224, 574, 12096, 433, 13, 15334, 1051, 279, 832, 4371, 402, 1113, 555, 279, 6500, 11, 3515, 1772, 430, 41902, 922, 1268, 682, 1521, 8982, 16483, 10456, 433, 323, 539, 7231, 2539, 17637, 311, 279, 13585, 13941, 13, 1472, 1253, 1390, 311, 4600, 701, 1772, 922, 1148, 814, 1071, 922, 7250, 2533, 499, 2873, 311, 1579, 389, 270, 1291, 18463, 1198, 1578, 11, 1742, 927, 20278, 627, 2822, 5030, 279, 1396, 315, 8158, 430, 1208, 664, 7250, 323, 813, 4754, 11 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 45, 1900, 763, 45020, 25, 578, 4470, 2630, 198, 1383, 35727, 6342, 32633, 423, 773, 412, 13207, 30504, 198, 1956, 25, 2947, 220, 1313, 11, 220, 1049, 20, 198, 644, 279, 11999, 961, 315, 264, 4330, 29137, 4101, 11, 32633, 423, 773, 412, 596, 1317, 547, 1398, 981, 22842, 1935, 264, 1427, 520, 279, 67437, 388, 323, 6835, 499, 813, 1935, 389, 1148, 814, 4070, 2884, 323, 1148, 814, 2643, 656, 304, 420, 5108, 3280, 627, 791, 26036, 10068, 706, 1027, 264, 11745, 315, 7878, 3805, 369, 420, 19562, 13, 1789, 459, 7471, 28031, 728, 315, 2225, 2410, 323, 30401, 433, 753, 1027, 264, 4322, 311, 3821, 264, 10585, 889, 50326, 2225, 13, 5414, 60112, 753, 69477, 323, 4519, 264, 711, 83, 56520, 5737, 1176, 2385, 439, 1664, 439, 264, 3831, 323, 25114, 13687, 6916, 505, 3060, 315, 279, 67437, 10093, 13, 1115, 9327, 1524, 48018, 311, 279, 12235, 1051, 279, 4846, 9784, 480, 859, 374, 3604, 264, 2697, 2731, 315, 264, 72407, 19579, 2163, 25417, 388, 1109, 1314, 25417, 388, 13, 5659, 279, 15538, 3185, 279, 62191, 2873, 55274, 315, 20806, 1461, 3063, 12744, 719, 994, 499, 1427, 520, 813, 5219, 505, 1566, 3280, 433, 753, 2867, 430, 753, 1405, 568, 17623, 13, 362, 662, 15537, 5578, 3250, 1431, 2873, 430, 67479, 719, 813, 507, 27187, 574, 264, 1633, 16358, 662, 18781, 13, 3061, 14380, 315, 2410, 67126, 682, 7359, 1139, 35090, 568, 2643, 832, 1938, 4295, 220, 1272, 98698, 323, 1566, 3280, 753, 7076, 1579, 315, 220, 843, 294, 14437, 13533, 433, 753, 45054, 323, 60525, 369, 279, 220, 1544, 1060, 2362, 13, 36478, 11934, 617, 1027, 264, 3575, 304, 279, 3347, 719, 279, 1695, 17201, 1026, 279, 3958, 13, 1666, 264, 68232, 2144, 5296, 430, 10785, 74, 1293, 16180, 311, 4295, 279, 84086, 779, 3821, 369, 430, 420, 14827, 3280, 323, 23127, 1690, 627, 791, 3488, 449, 74738, 268, 753, 912, 5129, 389, 279, 2115, 439, 433, 574, 304, 279, 4330, 4771, 9575, 505, 18217, 3264, 12, 2839, 994, 264, 3131, 26455, 1212, 304, 28627, 9508, 15187, 74544, 1384, 1003, 304, 25098, 4309, 488, 13, 5112, 55908, 19722, 11641, 18943, 5294, 6688, 1461, 2500, 6140, 304, 18217, 2839, 323, 74738, 268, 8621, 813, 1888, 5219, 311, 2457, 449, 264, 220, 16, 13, 15901, 83955, 15662, 304, 220, 15189, 520, 1481, 1900, 1603, 1694, 27023, 1523, 279, 14841, 311, 279, 687, 2518, 30781, 362, 753, 13, 578, 2800, 315, 279, 3778, 9130, 4410, 10791, 813, 1180, 430, 7474, 323, 279, 43145, 1051, 25408, 3403, 311, 3085, 1461, 264, 1403, 1060, 60821, 13, 20696, 9922, 1664, 389, 279, 19001, 4156, 439, 11097, 574, 20129, 3345, 311, 662, 3101, 323, 1776, 36368, 3345, 311, 662, 2636, 11, 662, 17168, 323, 662, 22640, 15947, 311, 387, 4839, 11, 719, 4920, 8036, 14365, 1070, 574, 1063, 8798, 1990, 1461, 323, 43145, 529, 6783, 11519, 2522, 3614, 25088, 13, 1102, 5616, 42423, 927, 304, 279, 8798, 315, 264, 44049, 519, 7102, 994, 74738, 268, 55841, 87625, 311, 1694, 13541, 369, 264, 50346, 23055, 323, 264, 1695, 2926, 3280, 304, 72264, 574, 22552, 85073, 13, 578, 43145, 1051, 779, 33630, 449, 279, 23944, 67437, 261, 430, 814, 5268, 311, 1514, 2085, 1461, 304, 279, 31855, 13, 18943, 5294, 2795, 568, 7070, 7095, 74738, 268, 449, 813, 2911, 719, 1314, 1457, 433, 753, 279, 5133, 449, 279, 40712, 88, 9454, 28280, 430, 690, 8417, 3508, 420, 9526, 9221, 264, 2450, 13, 578, 5960, 35218, 677, 278, 10068, 374, 27220, 323, 8617, 5992, 311, 387, 264, 3221, 5409, 311, 4295, 662, 3101, 323, 220, 966, 98698, 323, 813, 12235, 30401, 4536, 1431, 1790, 315, 264, 35460, 719, 6463, 374, 433, 264, 75379, 13, 5414, 6916, 374, 7170, 95675, 719, 1093, 279, 2362, 1314, 2115, 261, 369, 420, 7471, 11, 36011, 98836, 11, 17444, 7636, 649, 7170, 934, 616, 904, 4754, 709, 6091, 826, 389, 279, 23963, 198, 52502, 28226, 328, 4995, 14, 3812, 88, 77341, 198, 2746, 499, 1833, 477, 527, 922, 311, 1833, 420, 2128, 499, 4805, 1440, 3249, 358, 49629, 291, 1521, 7752, 3871, 13, 1102, 706, 311, 656, 449, 279, 47766, 5912, 7858, 2163, 304, 279, 67437, 323, 1120, 889, 4805, 3243, 430, 8209, 13, 3861, 315, 279, 8706, 57700, 311, 34044, 505, 4967, 3190, 304, 650, 26919, 374, 3249, 279, 1176, 7564, 3250, 1431, 636, 810, 5201, 323, 3249, 279, 15629, 374, 65206, 291, 304, 279, 3663, 315, 6062, 22798, 29564, 828, 311, 1862, 279, 14329, 13, 18122, 28226, 6051, 6656, 220, 1591, 779, 568, 4536, 1431, 7878, 17011, 304, 20075, 3878, 719, 568, 706, 4295, 520, 682, 5990, 323, 279, 1566, 892, 358, 7111, 279, 62191, 1051, 264, 2128, 430, 1436, 1005, 17193, 13, 1628, 2728, 433, 574, 813, 1176, 3280, 4754, 6866, 315, 18899, 5304, 813, 31625, 5219, 315, 662, 17014, 323, 662, 20911, 507, 27187, 323, 17216, 38, 15947, 13, 1442, 584, 8331, 568, 3940, 279, 3280, 304, 264, 220, 16, 14, 1958, 69392, 499, 4805, 1505, 813, 5219, 520, 662, 17408, 323, 662, 22054, 13, 83955, 374, 264, 11093, 19179, 315, 507, 27187, 5636, 17216, 38, 323, 18122, 28226, 753, 8581, 5219, 33505, 449, 39380, 389, 2385, 11, 662, 22614, 11, 323, 5423, 449, 39380, 304, 20413, 2361, 11, 220, 16, 13, 20063, 13, 1628, 2739, 86, 12201, 2834, 1431, 387, 3411, 927, 813, 17308, 30194, 5246, 304, 8850, 430, 328, 4995, 11894, 813, 7573, 25372, 588, 719, 18122, 28226, 374, 2103, 264, 2532, 481, 2163, 2115, 261, 13, 2030, 22978, 279, 4892, 13030, 10068, 505, 459, 18254, 2361, 374, 279, 90249, 92289, 430, 5900, 555, 279, 836, 315, 4060, 88, 77341, 13, 9454, 28280, 13452, 311, 3974, 304, 279, 3347, 323, 304, 264, 892, 994, 568, 574, 279, 11999, 1455, 63100, 92405, 359, 72407, 304, 20075, 323, 994, 499, 1436, 10150, 311, 617, 264, 4219, 2630, 261, 889, 7846, 1431, 4295, 13, 77341, 11721, 304, 30613, 304, 18217, 2437, 323, 1903, 459, 14247, 5536, 719, 433, 753, 1027, 682, 73481, 2533, 13, 1102, 753, 4228, 311, 1518, 3249, 1063, 7411, 1053, 3041, 1461, 264, 6689, 2728, 568, 753, 2744, 4295, 369, 1579, 5578, 304, 279, 4827, 49640, 323, 568, 1436, 3131, 1935, 264, 4321, 439, 1664, 13, 362, 5743, 315, 15956, 20129, 927, 662, 10568, 1436, 18507, 264, 2763, 315, 7411, 323, 5423, 1884, 889, 4070, 2646, 5762, 12235, 26434, 520, 264, 1579, 5410, 13, 2030, 568, 753, 1317, 3719, 459, 96718, 13883, 55222, 13, 2100, 8381, 4741, 311, 18217, 2304, 994, 9454, 323, 18943, 5294, 323, 5127, 775, 1518, 1148, 814, 1390, 311, 1518, 304, 77341, 439, 69457, 555, 3293, 6170, 505, 9454, 902, 31787, 279, 48416, 6844, 11722, 11843, 12351, 439, 3339, 5208, 1524, 3582, 568, 7070, 4529, 1120, 1403, 23291, 304, 220, 914, 12235, 27351, 13, 1102, 4536, 1431, 439, 1790, 430, 814, 1390, 1461, 311, 1514, 18254, 719, 814, 3207, 11075, 311, 1095, 279, 2128, 19868, 1418, 814, 1456, 323, 27442, 264, 93043, 31787, 1139, 279, 389, 31113, 14512, 315, 3063, 1885, 72407, 13, 1789, 1884, 430, 1390, 311, 1781, 6928, 11, 4060, 88, 706, 2646, 1027, 1790, 315, 264, 10683, 72407, 779, 1070, 753, 912, 2944, 369, 17035, 13, 1789, 1884, 430, 1390, 311, 1781, 89716, 568, 753, 2646, 1027, 1790, 315, 264, 5912, 3280, 72407, 3060, 13, 1283, 1587, 1501, 2294, 4732, 304, 279, 67437, 719, 568, 4536, 1431, 24765, 83596, 285, 3582, 568, 1587, 4295, 1093, 1461, 13, 578, 5435, 568, 11705, 369, 279, 220, 914, 893, 22162, 527, 95268, 13, 328, 4995, 2834, 1431, 636, 264, 6762, 27116, 1606, 814, 649, 1431, 1518, 77341, 369, 1148, 568, 374, 323, 10785, 74, 1293, 706, 1027, 459, 19310, 3063, 1885, 72407, 719, 814, 4805, 4585, 1461, 1203, 1523, 279, 2015, 1606, 315, 1148, 4060, 88, 753, 4732, 2643, 387, 3025, 311, 656, 709, 1948, 13, 5046, 3388, 912, 832, 753, 23130, 1176, 2385, 3686, 779, 3156, 814, 1304, 430, 5897, 584, 4805, 682, 7831, 627, 8161, 1431, 3371, 11641, 18943, 5294, 420, 719, 279, 1566, 892, 1070, 574, 23583, 2944, 311, 387, 12304, 922, 420, 7564, 574, 1203, 304, 18217, 410, 994, 568, 8710, 2410, 11, 662, 22184, 17216, 38, 11, 323, 30401, 11, 662, 18265, 507, 27187, 11, 439, 264, 220, 1313, 1060, 2362, 5737, 7238, 362, 304, 279, 57535, 1887, 13, 763, 1884, 2919, 15917, 32493, 574, 279, 27631, 66941, 315, 279, 1561, 4356, 7471, 719, 279, 1667, 430, 8272, 617, 1027, 79703, 449, 11134, 323, 1101, 41698, 389, 279, 9024, 25975, 15917, 32493, 1436, 1514, 389, 264, 13263, 8197, 13, 1102, 682, 3250, 1431, 617, 311, 387, 14015, 316, 323, 59714, 11, 3582, 11, 1606, 8683, 374, 2103, 1120, 220, 1627, 1667, 2362, 323, 1436, 1520, 420, 6469, 555, 19994, 1120, 9498, 3403, 304, 10683, 4967, 311, 8381, 264, 2697, 315, 813, 2362, 4754, 13, 3011, 5636, 279, 2144, 568, 649, 1514, 4219, 2630, 2643, 387, 3403, 311, 28008, 6652, 311, 2567, 1461, 439, 264, 16399, 14039, 323, 8617, 503, 7211, 3416, 77341, 13, 578, 62191, 1541, 1431, 617, 92000, 389, 279, 1314, 37240, 72407, 779, 430, 6835, 1461, 279, 4871, 3839, 369, 832, 315, 279, 13731, 19300, 627, 33117, 315, 17200, 3250, 1431, 18943, 5294, 2873, 1093, 43136, 13697, 1708, 17200, 449, 279, 1648, 568, 753, 779, 21901, 315, 8811, 18075, 323, 312, 34084, 7224, 30, 763, 420, 1120, 17562, 7636, 584, 4070, 9960, 279, 7170, 274, 42574, 11097, 74738, 268, 11, 8208, 1555, 279, 3925, 315, 279, 22313, 1870, 281, 2692, 15917, 32493, 323, 1457, 584, 3207, 311, 264, 7564, 889, 58046, 85201, 279, 53505, 369, 279, 1888, 961, 315, 8254, 1667, 13, 1442, 499, 11021, 1566, 1060, 753, 38258, 78915, 355, 499, 7070, 1505, 1124, 15182, 17200, 439, 264, 4754, 6453, 2902, 11073, 9322, 369, 31625, 315, 279, 1060, 13, 362, 4062, 5195, 2778, 706, 27290, 7231, 1461, 264, 6140, 311, 387, 459, 5536, 2851, 13, 1628, 433, 753, 2697, 5895, 2728, 1268, 1664, 279, 4846, 31487, 8244, 3820, 1550, 369, 279, 8857, 315, 813, 9099, 10966, 7076, 13, 2057, 38467, 11, 520, 279, 17051, 315, 220, 1419, 323, 220, 1187, 323, 5737, 304, 2033, 323, 24657, 362, 15947, 11, 17200, 8621, 1203, 311, 1203, 83955, 15785, 315, 662, 23873, 323, 662, 24542, 13, 2100, 1148, 7077, 389, 279, 1648, 311, 24421, 44058, 30, 8489, 430, 753, 1694, 83367, 292, 719, 1618, 753, 264, 13310, 439, 311, 3249, 17200, 753, 4754, 374, 2103, 653, 1285, 28611, 13, 47993, 420, 10683, 358, 574, 5403, 264, 3446, 9002, 813, 10683, 2450, 323, 279, 8149, 315, 813, 1510, 5357, 13, 1102, 10800, 704, 279, 63124, 574, 2728, 311, 279, 9546, 315, 813, 6691, 889, 32122, 304, 505, 9853, 12167, 311, 1304, 2771, 813, 2010, 574, 389, 7833, 13, 5810, 753, 279, 7564, 889, 1436, 387, 279, 8706, 13051, 315, 3190, 2728, 813, 94054, 13, 14077, 568, 753, 704, 315, 2671, 779, 279, 389, 355, 374, 389, 279, 62191, 311, 2567, 1461, 477, 3568, 1461, 3201, 369, 2500, 9513, 13, 2030, 433, 753, 682, 709, 311, 1461, 477, 7344, 1461, 323, 813, 6691, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 33, 867, 467, 39996, 58186, 36443, 473, 18177, 67365, 449, 16532, 946, 52, 220, 679, 15, 36526, 44845, 10009, 16218, 36526, 44845, 14, 3740, 16218, 11, 4291, 4884, 24, 11, 7320, 19033, 6973, 15549, 11, 30261, 38406, 277, 425, 58186, 88782, 501, 13991, 830, 29616, 4003, 916, 35645, 39, 18177, 11, 679, 15, 21861, 4594, 946, 52, 15381, 59724, 24766, 1174, 47312, 27399, 44639, 1411, 87814, 467, 39996, 58186, 36443, 473, 18177, 67365, 449, 16532, 946, 52, 220, 679, 15, 36526, 44845, 10009, 16218, 36526, 44845, 14, 3740, 16218, 11, 4291, 4884, 24, 11, 7320, 19033, 6973, 15549, 11, 30261, 38406, 277, 425, 58186, 88782, 501, 13991, 830, 29616, 4003, 916, 35645, 39, 18177, 11, 679, 15, 21861, 4594, 946, 52, 15381, 59724, 24766, 1174, 47312, 27399, 44639, 1411, 400, 24, 39996, 58186, 36443, 473, 18177, 67365, 449, 16532, 946, 52, 36526, 44845, 14, 3740, 16218, 220, 679, 15, 55518, 47312, 27399, 400, 24, 39996, 58186, 36443, 473, 18177, 67365, 449, 16532, 946, 52, 36526, 44845, 14, 3740, 16218, 220, 679, 15, 55518, 47312, 27399, 198, 45030, 425, 58186, 36443, 473, 18177, 67365, 449, 16532, 946, 52, 36526, 44845, 14, 3740, 16218, 220, 679, 15, 198, 45030, 425, 58186, 36443, 473, 18177, 67365, 449, 16532, 946, 52, 36526, 44845, 14, 3740, 16218, 220, 679, 15, 198, 2028, 18809, 701, 198, 45030, 425, 58186, 36443, 473, 18177, 374, 459, 17049, 14039, 2027, 369, 701, 35093, 3966, 26, 28648, 304, 18859, 311, 5064, 10886, 311, 6106, 2027, 39665, 323, 31638, 13, 2052, 39996, 58186, 3956, 527, 9960, 555, 220, 16, 71998, 220, 16, 4771, 11, 27862, 50952, 39996, 58186, 57629, 627, 57, 42, 4178, 69333, 480, 51952, 11, 67828, 2360, 2009, 1802, 75800, 480, 51952, 369, 2467, 84707, 1534, 12761, 198, 1962, 763, 578, 198, 438, 12062, 220, 679, 23, 358, 719, 51762, 25, 5766, 3966, 44276, 1820, 574, 198, 20981, 59338, 23152, 7923, 3271, 1028, 2350, 14739, 2136, 459, 7701, 220, 679, 15, 220, 22, 473, 18177, 220, 868, 4, 1391, 13900, 2678, 36947, 198, 28629, 36449, 1705, 1511, 25616, 198, 10714, 11113, 9062, 198, 331, 5795, 15150, 5858, 198, 45, 477, 85364, 6144, 519, 2349, 627, 54310, 6425, 2027, 13, 21266, 198, 54, 1003, 36526, 44845, 1442, 18718, 2136, 315, 59124, 5066, 3639, 198, 22427, 3271, 1115, 636, 1109, 6883, 36443, 12793, 555, 369, 810, 7118, 337, 1952, 66106, 12, 11087, 198, 33, 589, 779, 5246, 12208, 89, 9355, 1093, 2349, 18905, 2740, 4251, 198, 11180, 304, 921, 5795, 2873, 9099, 198, 51, 686, 30800, 482, 649, 6144, 264, 507, 396, 479, 198, 10031, 8595, 5464, 21266, 656, 57342, 6811, 198, 82, 39718, 13, 26541, 422, 25795, 1069, 20659, 12477, 439, 98026, 3861, 60483, 198, 10031, 701, 97420, 198, 44259, 60483, 6380, 3297, 14290, 198, 61524, 3263, 27236, 1322, 52267, 5492, 5178, 13, 9235, 2136, 1903, 872, 2204, 1933, 36947, 198, 14704, 54268, 12932, 24702, 4212, 198, 3915, 8779, 7958, 96499, 19486, 16614, 31010, 311, 60483, 198, 1548, 6260, 65822, 1304, 7138, 2561, 14114, 198, 83, 51725, 8828, 23598, 26, 220, 679, 24, 198, 44, 699, 56227, 12761, 198, 24741, 60394, 902, 5492, 198, 1668, 22443, 1005, 7296, 198, 1557, 21854, 507, 396, 479, 10009, 16218, 9041, 96075, 6324, 8945, 596, 57342, 5380, 30261, 3958, 7718, 198, 404, 1018, 811, 13, 1475, 220, 5926, 15, 596, 61485, 22012, 3158, 7447, 59338, 16532, 946, 52, 4787, 13, 70432, 39996, 58186, 27656, 31922, 198, 14809, 12054, 3177, 4322, 27661, 279, 1443, 48695, 198, 37282, 11699, 2512, 5916, 13, 36704, 627, 29146, 40335, 2579, 2136, 28566, 1879, 198, 959, 552, 220, 16, 856, 198, 60860, 60611, 13, 1952, 66106, 12, 11087, 198, 22427, 3271, 84971, 520, 4367, 2027, 198, 38128, 27339, 13723, 13, 57342, 13, 4113, 1949, 198, 100192, 24507, 1176, 49741, 445, 1894, 198, 359, 5118, 989, 1690, 51715, 579, 52239, 198, 14404, 5016, 76853, 51715, 579, 198, 331, 2642, 287, 1344, 1802, 662, 1758, 8945, 2650, 8945, 753, 23815, 1366, 269, 198, 14235, 261, 449, 21986, 3639, 596, 28682, 1893, 1101, 11951, 499, 12660, 433, 3966, 13, 17033, 4245, 3881, 8369, 430, 1404, 527, 4096, 198, 4054, 220, 22, 35757, 21512, 288, 1789, 198, 1688, 12362, 11349, 5938, 29219, 12195, 53166, 5493, 627, 99654, 220, 966, 3766, 3966, 25, 55061, 288, 362, 198, 58351, 30349, 5334, 36301, 198, 10816, 28049, 66839, 1520, 297, 396, 479, 423, 28609, 198, 22427, 3271, 1587, 709, 810, 920, 9188, 27375, 198, 73140, 387, 3562, 7524, 3970, 34, 5408, 596, 21266, 11617, 61573, 291, 356, 1386, 328, 26246, 320, 21, 14114, 8, 5561, 11344, 220, 21, 46701, 2027, 13, 43496, 449, 18809, 279, 423, 1863, 984, 16124, 13, 7384, 13, 10166, 36526, 44845, 220, 679, 24, 10009, 16218, 1556, 22612, 950, 220, 19, 13, 966, 198, 2028, 39996, 58186, 220, 2491, 35757, 36443, 1888, 19960, 701, 5578, 6883, 1646, 80282, 6930, 15130, 3152, 67365, 264, 44701, 627, 10692, 220, 17, 13, 435, 10754, 11010, 10062, 554, 86185, 198, 4921, 1561, 473, 18177, 3823, 315, 16532, 946, 52, 5008, 220, 966, 33844, 1404, 13, 3974, 220, 679, 15, 4096, 198, 12243, 12589, 220, 16, 25, 5744, 42896, 11162, 25744, 220, 3076, 13, 17, 9847, 44, 220, 20, 13, 845, 54, 220, 717, 53, 220, 1490, 87, 1490, 87, 914, 13, 19, 6395, 14, 10155, 11, 320, 31784, 315, 220, 605, 2432, 412, 58586, 1578, 627, 83553, 13, 5751, 32625, 2467, 41918, 2587, 58586, 4301, 1101, 16146, 988, 5684, 8831, 892, 70840, 5560, 19672, 7029, 32625, 198, 30138, 946, 52, 1701, 15135, 6425, 34537, 6638, 4460, 26, 5064, 5423, 198, 7993, 4018, 682, 220, 679, 15, 7626, 3085, 3115, 8333, 13, 449, 5644, 1404, 3956, 8522, 14713, 14956, 10824, 304, 13, 25187, 9187, 1695, 36693, 388, 7108, 198, 975, 35757, 68386, 527, 1405, 11774, 1690, 8779, 9309, 2035, 1093, 5234, 6964, 8294, 12195, 9501, 369, 198, 7908, 425, 422, 77556, 832, 17401, 30164, 10168, 49484, 584, 24601, 20958, 34739, 198, 67085, 473, 18177, 10009, 16218, 323, 10374, 32628, 627, 2414, 423, 18835, 701, 37581, 2447, 220, 15, 13, 18887, 17139, 58586, 30, 4519, 23391, 311, 4314, 14290, 198, 65339, 287, 430, 1893, 7479, 26333, 13957, 13, 28473, 2682, 59251, 420, 1920, 627, 64, 597, 3017, 15062, 1226, 1499, 3418, 97342, 53560, 86185, 994, 3544, 1633, 617, 10728, 11314, 8574, 779, 12660, 8108, 36526, 44845, 220, 16, 13, 20, 549, 265, 86185, 6727, 7878, 18724, 627, 4921, 39996, 58186, 21988, 24950, 2849, 198, 5391, 4662, 4375, 9499, 72908, 10640, 287, 24306, 649, 220, 18, 44, 29409, 29034, 7147, 2033, 499, 315, 2204, 2631, 45166, 4819, 27529, 13, 67365, 33483, 198, 32676, 389, 304, 7410, 220, 16, 28362, 10640, 12314, 56395, 20438, 65558, 12562, 13, 1022, 16237, 3623, 660, 9176, 4206, 16237, 1115, 1403, 198, 13074, 17, 2815, 43321, 3300, 52796, 1243, 27203, 836, 7426, 198, 15, 13, 23, 1920, 5370, 198, 2656, 1579, 5594, 18323, 800, 65344, 4737, 5764, 6144, 1105, 198, 2028, 53319, 8522, 198, 84556, 13, 9244, 18955, 16614, 48913, 198, 843, 18809, 662, 7504, 2410, 13, 27883, 11886, 21483, 39950, 1908, 28598, 40428, 26, 5825, 1920, 13, 63603, 11049, 19071, 100227, 13, 80180, 627, 9368, 291, 2561, 892, 1355, 46851, 4689, 20472, 13, 20472, 69971, 627, 265, 1072, 1634, 387, 8574, 43321, 279, 19294, 554, 86185, 27529, 198, 3725, 961, 482, 24537, 198, 329, 59738, 22514, 2815, 43321, 1303, 49482, 1139, 13957, 627, 21822, 3805, 58586, 627, 32056, 4907, 892, 1890, 5178, 7417, 28648, 33251, 198, 417, 4011, 578, 865, 13957, 198, 582, 44280, 8853, 36236, 1664, 1205, 1005, 3296, 12992, 22484, 1766, 520, 220, 18, 690, 41369, 729, 12434, 628, 3864, 32406, 5873, 40852, 14295, 709, 4619, 1578, 3235, 439, 1825, 2536, 54920, 9168, 1990, 1825, 33001, 7543, 24537, 706, 6302, 627, 391, 3523, 8356, 555, 4018, 11934, 4060, 1711, 4595, 13, 4632, 8246, 459, 18667, 6307, 12589, 512, 21470, 8333, 1102, 19303, 65558, 13, 7878, 18724, 198, 53980, 37182, 9250, 15246, 16489, 38193, 24537, 287, 198, 5242, 13076, 8205, 198, 375, 301, 90724, 374, 30084, 13, 27529, 9653, 198, 72979, 12673, 13, 904, 7491, 36693, 388, 13, 14620, 198, 18, 44, 6319, 50284, 763, 42408, 92126, 1057, 1450, 8244, 220, 1041, 8795, 5739, 1570, 10180, 1520, 2763, 3156, 32302, 34739, 7238, 82987, 477, 872, 26965, 481, 4676, 13, 1887, 49527, 220, 8610, 59572, 11630, 505, 3331, 1317, 9860, 902, 3831, 12562, 1455, 24461, 2804, 2225, 41687, 1789, 220, 6849, 32037, 15690, 69996, 11951, 1579, 198, 43, 1463, 77, 17, 6771, 33678, 17323, 12186, 4328, 369, 65119, 6771, 89054, 4606, 64, 4599, 7865, 1236, 1009, 7252, 21335, 4967, 7963, 311, 9785, 20902, 5679, 27220, 61433, 13, 389, 527, 1436, 499, 7479, 690, 220, 966, 12, 1399, 4984, 2314, 30394, 1260, 5133, 6896, 19332, 16628, 10009, 16218, 10882, 6373, 5933, 4520, 701, 198, 4921, 28822, 15526, 1855, 67365, 14588, 3953, 37433, 7095, 2678, 38626, 4096, 198, 8284, 59408, 14668, 6914, 1063, 315, 1862, 499, 13, 36443, 449, 7410, 22837, 1304, 264, 220, 679, 15, 18547, 25152, 5679, 5253, 6539, 5679, 596, 51825, 810, 22068, 39996, 58186, 1847, 4718, 40652, 22331, 23556, 1633, 25352, 18187, 13241, 13, 473, 18177, 29160, 4228, 1102, 12875, 15767, 3104, 555, 3161, 23506, 13, 5560, 2523, 53406, 42200, 539, 4701, 2542, 344, 578, 75477, 3217, 323, 279, 220, 868, 293, 34552, 1450, 11112, 16532, 946, 52, 6276, 1555, 374, 18955, 39525, 90965, 11699, 36526, 44845, 25768, 12192, 420, 3021, 71771, 1027, 1920, 8987, 1095, 198, 2028, 10441, 25, 13957, 3815, 67632, 6220, 617, 220, 605, 35757, 8830, 1115, 763, 12875, 1520, 3544, 477, 78154, 37433, 388, 52972, 16166, 18809, 8108, 11850, 1028, 2350, 19407, 5843, 47132, 13, 90926, 18885, 15998, 11886, 328, 593, 29200, 369, 29869, 649, 6089, 4785, 892, 423, 18835, 4335, 627, 1395, 27899, 9558, 11, 9576, 19220, 9558, 11, 800, 1334, 15128, 19721, 9558, 11, 19984, 444, 88, 2394, 17, 13, 2371, 17418, 289, 564, 58832, 13, 10882, 39996, 58186, 68963, 198, 13721, 25, 47759, 33218, 627, 972, 35757, 19730, 449, 2671, 311, 53188, 17308, 13, 60594, 627, 30261, 32599, 473, 18177, 7410, 85506, 27220, 701, 220, 20, 13, 17, 18012, 26, 36301, 3160, 13, 2467, 6881, 67828, 20407, 20994, 45558, 44842, 481, 198, 33189, 10009, 16218, 67365, 779, 1404, 18711, 13, 323, 33218, 627, 30989, 8356, 9249, 505, 198, 4921, 369, 4096, 198, 2059, 3153, 5234, 389, 10166, 8352, 25650, 25, 38895, 36526, 44845, 36443, 389, 13, 220, 679, 15, 35578, 992, 59416, 20055, 2955, 6515, 35415, 45166, 4367, 499, 13, 682, 16532, 946, 52, 86346, 17560, 60413, 1130, 273, 54, 57, 7585, 14881, 11033, 46641, 79350, 14881, 52882, 69600, 3165, 292, 478, 2689, 627, 7850, 67365, 315, 77111, 3919, 23485, 10009, 16218, 389, 2294, 387, 439, 636, 856, 14115, 13, 649, 39577, 279, 1023, 449, 36526, 44845, 7515, 1974, 3339, 52786, 40714, 20841, 627, 51, 11407, 15553, 21266, 1903, 17639, 18866, 2933, 350, 81661, 91853, 10441, 25, 31998, 33711, 1167, 31215, 689, 4076, 25, 18091, 56, 220, 966, 23598, 26, 8722, 323, 2162, 8146, 13991, 1216, 4832, 3749, 48471, 220, 21, 350, 11407, 220, 679, 15, 473, 18177, 198, 4921, 1120, 4096, 198, 16621, 278, 1933, 374, 36443, 14150, 13, 32558, 47856, 3562, 25, 35637, 2204, 1115, 220, 21, 35757, 20841, 21363, 80074, 527, 690, 91135, 7350, 627, 17794, 25, 13306, 4717, 1102, 20438, 259, 81661, 369, 1628, 24206, 51352, 433, 13124, 259, 81661, 627, 791, 16064, 71399, 12920, 264, 39554, 9986, 6307, 198, 2675, 369, 25, 27601, 7113, 701, 59103, 39996, 58186, 505, 6437, 430, 18343, 5684, 42840, 304, 6381, 311, 5761, 18410, 25, 966, 477, 4078, 25, 34057, 17333, 25, 3506, 1285, 16532, 946, 52, 49682, 4228, 1511, 350, 395, 2053, 6305, 8945, 78184, 15193, 259, 395, 2053, 856, 14115, 627, 51, 11407, 6761, 28192, 329, 361, 8868, 79000, 17863, 62368, 53909, 11, 17863, 3805, 76749, 18714, 762, 4789, 198, 47716, 9705, 2955, 6739, 6354, 3550, 198, 414, 389, 3780, 65184, 5268, 8868, 24749, 505, 13, 19665, 1203, 6380, 1139, 279, 1579, 41327, 198, 83380, 15062, 220, 24, 35757, 198, 2356, 1894, 8886, 36516, 95113, 6981, 13, 10604, 1628, 4321, 13194, 17069, 11829, 31467, 36526, 44845, 3956, 1511, 69124, 1260, 2853, 67365, 6211, 4848, 374, 1450, 13, 32418, 323, 6562, 449, 8162, 84045, 13, 83212, 1236, 295, 358, 2733, 14918, 3494, 39996, 58186, 20247, 1933, 4367, 18012, 198, 34174, 220, 966, 7891, 198, 4921, 15447, 6764, 4832, 627, 26747, 31298, 38984, 21882, 198, 23581, 5178, 11829, 5052, 2345, 1949, 10009, 16218, 20185, 33271, 7198, 15899, 9124, 4774, 198, 5618, 1903, 264, 33012 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 791, 26029, 63641, 374, 264, 4751, 584, 1005, 311, 7664, 279, 9547, 320, 10701, 323, 9434, 8, 430, 7958, 279, 5178, 315, 904, 2728, 3997, 304, 279, 2778, 21787, 13, 24586, 311, 279, 1633, 7138, 315, 2778, 21787, 35611, 21686, 872, 26249, 11, 32931, 5357, 11, 323, 15320, 68727, 311, 3493, 872, 3932, 449, 32100, 11, 9959, 11, 13687, 323, 4367, 3135, 11, 279, 26029, 63641, 374, 30293, 14691, 311, 6541, 323, 2349, 627, 63879, 304, 220, 679, 17, 198, 679, 17, 5602, 264, 4459, 4101, 315, 12384, 9013, 11, 10625, 288, 11, 4442, 311, 279, 2778, 4817, 25998, 11, 323, 502, 5627, 315, 7706, 3876, 13335, 26, 304, 2144, 11, 927, 279, 1566, 220, 717, 4038, 584, 617, 3970, 810, 27470, 29735, 304, 279, 26029, 63641, 1109, 584, 1047, 304, 279, 3766, 220, 20, 1667, 477, 779, 13, 3161, 420, 304, 4059, 433, 374, 10671, 15098, 5107, 311, 9539, 8417, 682, 315, 279, 3927, 9547, 430, 923, 709, 311, 264, 1664, 12, 19680, 4147, 2816, 11, 323, 8530, 810, 5107, 311, 7168, 279, 3938, 315, 279, 26029, 63641, 627, 11458, 11, 3293, 9013, 617, 6982, 264, 2867, 14944, 505, 2778, 21787, 26, 311, 7431, 3932, 311, 1505, 279, 1455, 13687, 323, 4367, 3135, 304, 459, 11297, 11827, 13, 6193, 279, 3347, 220, 717, 4038, 584, 617, 23926, 264, 4101, 315, 9547, 323, 4819, 449, 1057, 8403, 6732, 430, 584, 617, 30464, 311, 323, 1047, 311, 89959, 15174, 311, 5663, 12, 533, 8767, 45179, 26029, 990, 11, 477, 311, 7417, 4901, 5178, 3196, 389, 502, 34824, 627, 2028, 4652, 22262, 311, 11415, 1148, 584, 617, 3970, 927, 279, 3347, 220, 717, 4038, 304, 3878, 315, 279, 6541, 304, 279, 26029, 63641, 11, 323, 1268, 584, 4510, 1521, 690, 5536, 389, 2778, 8661, 1139, 220, 679, 18, 323, 7953, 627, 14783, 73510, 41425, 198, 3792, 304, 4216, 220, 679, 16, 11, 5195, 23255, 704, 11, 1054, 276, 12384, 292, 16048, 6319, 311, 1520, 1274, 1505, 810, 1579, 22867, 6732, 304, 2778, 11453, 1115, 2713, 574, 311, 387, 3967, 439, 279, 73510, 2713, 11, 323, 706, 2533, 1047, 13489, 220, 1419, 26771, 11, 9013, 323, 10625, 288, 627, 47, 10018, 574, 6319, 311, 11565, 1148, 5195, 25660, 311, 387, 3451, 12156, 22867, 529, 6732, 11, 323, 8108, 279, 33407, 369, 1884, 6732, 430, 1051, 6646, 3428, 19625, 923, 369, 3932, 304, 3878, 315, 279, 389, 15463, 2262, 13, 1226, 617, 3970, 420, 5536, 1690, 6732, 994, 433, 4131, 311, 23329, 2262, 320, 67, 100084, 4028, 1866, 2816, 11, 323, 56003, 4028, 5361, 6732, 705, 15792, 2262, 11, 3428, 4367, 2262, 323, 810, 627, 644, 1057, 3217, 433, 706, 1047, 264, 8389, 5536, 8104, 389, 384, 42685, 6732, 449, 56003, 2262, 4028, 5699, 6959, 11, 1207, 43958, 6959, 323, 2027, 6959, 627, 11663, 6732, 15871, 17550, 555, 279, 73510, 2713, 617, 5343, 88937, 13335, 320, 1834, 9651, 22523, 323, 312, 2320, 11931, 555, 264, 3997, 8, 439, 1664, 439, 3428, 22867, 22325, 13335, 627, 1687, 85775, 425, 4726, 26771, 315, 73510, 6957, 220, 679, 18, 439, 5195, 3136, 311, 7417, 872, 12384, 753, 311, 11388, 19662, 5990, 315, 70576, 278, 23329, 2262, 198, 1966, 12, 2732, 31197, 8082, 323, 29696, 198, 1966, 15463, 11, 477, 389, 29654, 11, 7706, 8082, 374, 2103, 459, 26154, 961, 315, 279, 10223, 26029, 63641, 13, 763, 3177, 315, 279, 73510, 2713, 11, 5195, 2819, 1579, 4367, 11, 5016, 2262, 1457, 810, 1109, 3596, 11, 323, 430, 5764, 279, 389, 15463, 2038, 430, 706, 1027, 279, 82575, 315, 26029, 927, 279, 1667, 627, 11458, 11, 1070, 374, 1101, 264, 6541, 7119, 16048, 304, 67633, 323, 26225, 6959, 2949, 13335, 26, 3161, 420, 304, 4059, 11, 433, 374, 48696, 311, 7373, 15806, 701, 389, 29654, 7706, 8082, 8446, 449, 24886, 311, 1855, 2199, 753, 5665, 11, 5874, 11106, 11, 473, 16, 52449, 11, 16197, 56795, 11, 16197, 7817, 323, 9059, 11, 439, 1664, 439, 279, 3997, 6070, 11, 2038, 18112, 323, 810, 311, 1520, 4148, 23329, 2262, 6957, 264, 3997, 627, 2028, 1920, 706, 3719, 3596, 51014, 11156, 304, 1202, 8670, 311, 6106, 430, 264, 3997, 20628, 264, 4335, 11, 7706, 4147, 743, 315, 8670, 323, 706, 3970, 279, 17219, 315, 5528, 311, 1520, 7417, 43553, 2065, 11, 5852, 11850, 323, 1023, 11156, 8670, 902, 649, 57780, 264, 3997, 627, 1110, 53999, 16570, 3495, 2212, 279, 7057, 323, 2262, 315, 701, 2816, 1288, 387, 45179, 15870, 304, 2015, 311, 4822, 8469, 315, 32931, 18845, 323, 279, 15022, 18921, 315, 701, 2115, 477, 10706, 323, 304, 2015, 311, 10625, 323, 2713, 279, 389, 15463, 7706, 8082, 304, 1584, 449, 420, 627, 20397, 5370, 12384, 292, 9013, 311, 656, 449, 2262, 11, 7902, 323, 810, 11, 279, 907, 315, 389, 29654, 7706, 8082, 4250, 387, 87136, 304, 220, 679, 18, 627, 34174, 9059, 611, 9059, 18729, 198, 22845, 311, 5195, 753, 73510, 12384, 374, 279, 23035, 315, 17843, 4367, 2262, 323, 98233, 287, 459, 7524, 2262, 8661, 8446, 369, 701, 2816, 13, 578, 2262, 315, 701, 3997, 1288, 539, 1193, 387, 9959, 11, 95868, 323, 5016, 11, 719, 1288, 387, 19310, 11, 4430, 97767, 323, 3485, 23148, 923, 907, 311, 3932, 627, 791, 68009, 315, 3451, 1834, 374, 11734, 529, 706, 1027, 6755, 369, 1667, 1457, 11, 323, 433, 374, 8530, 1457, 810, 13687, 264, 5224, 1109, 3596, 13, 71828, 279, 907, 315, 264, 5933, 11, 76649, 323, 7524, 2723, 52499, 4901, 4250, 323, 1288, 539, 387, 87136, 11, 5195, 706, 9277, 3117, 810, 4785, 389, 4367, 2262, 994, 433, 4131, 311, 23862, 6732, 6051, 1109, 433, 3596, 706, 2884, 1603, 627, 2688, 1193, 1587, 420, 8464, 311, 279, 3451, 5880, 389, 264, 2199, 529, 315, 264, 3997, 11, 719, 311, 279, 98536, 2262, 8446, 323, 30293, 11, 2262, 8661, 8446, 627, 4959, 2199, 315, 264, 3997, 1288, 8854, 264, 7580, 11, 539, 311, 264, 2778, 4817, 11, 719, 311, 264, 1217, 13, 9062, 2199, 1288, 387, 1664, 6646, 323, 3463, 9994, 11, 323, 923, 907, 311, 279, 2816, 439, 264, 4459, 439, 1664, 439, 279, 1217, 11, 3339, 433, 264, 15062, 2592, 315, 11447, 323, 4281, 768, 2949, 1202, 10706, 477, 3157, 627, 32, 2262, 8661, 8446, 19813, 311, 279, 5845, 311, 539, 1193, 1893, 19310, 2262, 369, 832, 753, 1866, 2816, 11, 719, 311, 1893, 2262, 430, 3885, 690, 1390, 311, 1373, 11, 4430, 11, 3350, 922, 323, 2723, 311, 13, 9059, 18729, 17503, 15038, 1990, 279, 8776, 64982, 315, 26029, 315, 9059, 323, 6074, 24177, 26, 433, 374, 279, 1920, 315, 6968, 1579, 4367, 2262, 369, 701, 2816, 430, 690, 18182, 21953, 7902, 4669, 1202, 1633, 7138, 315, 1694, 19310, 11, 95868, 323, 9959, 627, 14783, 71244, 41425, 198, 644, 5936, 220, 679, 17, 11, 323, 1306, 5672, 315, 33422, 11, 5195, 5616, 11007, 814, 1051, 20700, 704, 264, 3451, 906, 5532, 309, 2713, 529, 430, 1690, 26029, 82, 1047, 14183, 311, 439, 459, 3451, 2017, 12, 19680, 8082, 16750, 529, 26, 420, 12384, 2713, 574, 5246, 2728, 279, 71244, 1647, 25840, 627, 47, 46972, 7111, 311, 2686, 5370, 3451, 76645, 529, 9547, 11, 2737, 279, 1180, 315, 16570, 83616, 11, 279, 4186, 8082, 315, 2723, 31956, 323, 1023, 3451, 11708, 2902, 266, 529, 12659, 11, 304, 2015, 311, 78220, 37735, 279, 2778, 21787, 304, 279, 33436, 315, 5190, 33407, 13, 1115, 8446, 7111, 311, 33294, 6471, 2902, 7298, 323, 1505, 56020, 304, 3878, 315, 23862, 18182, 4669, 4367, 2262, 323, 4367, 7902, 13, 578, 71244, 2713, 1206, 33298, 1523, 389, 1521, 12659, 323, 20034, 311, 11565, 1884, 6732, 430, 527, 15525, 323, 3451, 19045, 529, 304, 279, 6548, 315, 3932, 11, 539, 1120, 26249, 627, 3947, 706, 1027, 13489, 220, 18, 9013, 311, 279, 71244, 12384, 439, 5195, 5992, 311, 1054, 451, 20542, 33407, 369, 6732, 430, 584, 4510, 527, 45462, 1057, 4367, 17959, 113068, 1687, 617, 3970, 502, 8403, 2586, 311, 603, 3515, 1027, 69214, 40028, 555, 71244, 3515, 8767, 45179, 3776, 2902, 266, 12659, 994, 433, 4131, 311, 2723, 52499, 11, 2737, 279, 1005, 315, 2723, 14488, 11, 3428, 4367, 7902, 323, 1023, 10507, 315, 584, 5532, 309, 1778, 439, 2723, 2695, 73610, 11, 2723, 14519, 320, 68, 1326, 13, 220, 16, 11, 931, 7902, 369, 400, 20, 8, 323, 6352, 14519, 320, 16, 11, 931, 29725, 369, 400, 20, 4390, 3792, 2125, 57817, 611, 4185, 402, 363, 198, 644, 3177, 315, 279, 71244, 12384, 2713, 11, 279, 1920, 323, 8446, 315, 1203, 2125, 6492, 449, 279, 14944, 315, 34118, 1203, 2125, 17065, 706, 2586, 311, 279, 2291, 439, 2555, 430, 1855, 3997, 6506, 1288, 387, 8065, 2269, 1339, 449, 13, 24586, 311, 8009, 323, 3428, 4367, 2723, 52499, 12659, 11, 1690, 2723, 21542, 1457, 5101, 81846, 304, 279, 6548, 315, 3682, 2778, 21787, 11, 13239, 304, 31086, 323, 264, 18979, 304, 33407, 11, 13967, 69214, 74055, 389, 9629, 323, 13254, 627, 2409, 279, 1520, 315, 459, 10534, 2930, 8661, 9266, 11, 3997, 7980, 649, 49643, 1203, 2125, 6492, 323, 17065, 304, 2015, 311, 11415, 1884, 7902, 6155, 5389, 287, 5195, 753, 4367, 17959, 323, 23564, 872, 17065, 4669, 47208, 2816, 7980, 13, 763, 1063, 5157, 11, 2816, 7980, 527, 539, 3729, 481, 11, 527, 12266, 311, 11917, 11, 477, 1715, 264, 11307, 311, 4148, 279, 70669, 7902, 11, 902, 374, 1405, 5195, 753, 12309, 502, 4185, 402, 363, 5507, 4131, 304, 311, 1202, 1866, 627, 4599, 264, 28856, 2723, 4250, 387, 7108, 4669, 279, 4725, 12006, 11, 499, 649, 1005, 279, 4185, 402, 363, 5507, 311, 1715, 430, 5195, 32162, 904, 2515, 430, 279, 1071, 2723, 73072, 706, 389, 701, 2816, 11, 8617, 4277, 1113, 904, 3284, 16750, 12673, 311, 279, 2723, 73072, 627, 1687, 617, 3970, 1690, 502, 8403, 2586, 311, 603, 3515, 1027, 11754, 555, 71244, 11, 11125, 1203, 2125, 6492, 323, 1203, 2125, 17065, 8469, 315, 264, 1050, 25742, 367, 6274, 11, 477, 304, 2015, 311, 5471, 1778, 11193, 505, 5195, 13, 1226, 7168, 430, 220, 679, 18, 690, 1518, 810, 2816, 7980, 15763, 279, 5536, 315, 71244, 323, 6056, 420, 1778, 2532, 627, 14783, 1176, 11007, 430, 814, 1051, 1701, 3674, 17738, 304, 26679, 23862, 304, 3389, 220, 679, 15, 11, 555, 2737, 828, 505, 6405, 323, 5690, 311, 1520, 6211, 279, 14311, 21051, 320, 1874, 4817, 3135, 6959, 4390, 2409, 279, 53840, 304, 23354, 315, 3674, 14488, 927, 3293, 1667, 11, 3682, 2778, 21787, 617, 1027, 74978, 304, 70817, 872, 26249, 304, 4879, 520, 42852, 279, 23354, 315, 13335, 11, 2262, 11, 3956, 11, 27065, 5099, 13, 304, 279, 14311, 21051, 26, 8617, 42093, 15983, 481, 11, 3451, 44336, 529, 323, 3451, 6228, 529, 2262, 449, 5190, 33407, 439, 1521, 527, 264, 8450, 315, 4367, 11, 7095, 323, 23354, 1389, 1403, 1401, 9547, 315, 264, 2778, 21787, 12384, 292, 11565, 1355, 8218, 627, 27414, 17738, 20405, 3871, 3674, 3772, 8661, 323, 2778, 4817, 7706, 8082, 11, 323, 1202, 12939, 690, 3136, 311, 3139, 927, 279, 5108, 220, 717, 4038, 323, 7953, 439, 5195, 65206, 304, 264, 502, 11639, 315, 3674, 2778, 627, 98557, 2956, 611, 12824, 4488, 47197, 198, 24798, 279, 1005, 315, 34030, 828, 323, 11036, 1906, 5352, 11, 5195, 5131, 11815, 9257, 69742, 369, 264, 8205, 315, 5540, 11, 2737, 1274, 11, 8544, 11, 3956, 11, 19141, 323, 810, 13, 71854, 11, 1148, 420, 3445, 374, 430, 422, 701, 828, 374, 13160, 709, 13750, 11, 499, 649, 11857, 279, 11341, 315, 701, 15182, 389, 279, 14311, 21051, 304, 2015, 311, 1520, 7417, 4299, 1555, 7969, 11, 71199, 11, 323, 8530, 1524, 23862, 627, 34814, 3970, 439, 810, 315, 264, 1217, 3217, 8935, 11, 433, 374, 3284, 430, 279, 1005, 315, 13155, 1906, 5352, 1436, 387, 1511, 439, 264, 23862, 8331, 304, 279, 3221, 3938, 11, 8104, 279, 1005, 315, 7030, 19856, 11, 49001, 279, 3229, 315, 264, 6710, 315, 2262, 374, 6982, 389, 279, 14311, 21051, 627, 791, 1005, 315, 34030, 828, 323, 279, 1648, 304, 902, 5195, 374, 1701, 420, 828, 311, 11857, 279, 14311, 21051, 5039, 1268, 5370, 9863, 315, 2038, 323, 5361, 9547, 2515, 287, 279, 26029, 63641, 617, 264, 14459, 10539, 2515, 389, 1855, 1023, 11, 323, 527, 682, 304, 39749, 292, 2915, 10815, 304, 264, 2271, 311, 3493, 279, 17139, 304, 3878, 315, 9959, 11, 4367, 2778, 3135, 627, 7469, 8082, 611, 8121, 8082, 198, 2409, 279, 53840, 304, 279, 1005, 315, 6505, 7766, 323, 21354, 19002, 927, 3293, 4038, 323, 1667, 11, 279, 12939, 315, 8949, 2778, 323 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 3915, 18779, 21020, 30668, 11, 3026, 753, 7013, 10727, 323, 11002, 3691, 311, 24854, 8666, 32737, 323, 21644, 12571, 8735, 11, 10212, 1618, 527, 220, 1114, 6848, 369, 264, 6883, 502, 2626, 21210, 304, 220, 679, 22, 13, 14689, 706, 3970, 264, 3148, 506, 50577, 315, 3293, 22291, 38581, 323, 14992, 15749, 311, 1023, 5415, 439, 264, 1121, 315, 814, 1051, 29123, 555, 279, 36580, 499, 7664, 13, 10541, 1063, 25341, 2163, 279, 1614, 439, 1664, 11, 3403, 5687, 2163, 505, 279, 27825, 26640, 323, 4216, 220, 1049, 15, 82, 430, 264, 8294, 8205, 315, 2683, 27548, 3073, 13, 362, 5557, 18052, 6303, 13639, 11, 9784, 12541, 369, 22237, 5557, 706, 420, 44308, 6303, 430, 649, 7945, 499, 5190, 32172, 5557, 304, 701, 67805, 13, 4184, 311, 26644, 275, 25, 627, 57549, 4236, 304, 279, 17863, 10170, 6498, 2068, 649, 5268, 311, 656, 6492, 304, 3451, 28602, 2320, 37017, 2296, 529, 9435, 36788, 11, 1405, 6067, 11, 3241, 11, 323, 37072, 6492, 16343, 311, 8356, 279, 17876, 9659, 315, 1396, 48689, 3265, 287, 2307, 66047, 388, 13, 2435, 690, 3460, 704, 279, 3575, 315, 14892, 449, 3451, 17185, 2038, 529, 449, 13241, 3823, 11733, 11533, 25066, 13, 2582, 814, 1253, 5268, 311, 1505, 264, 2162, 449, 1917, 15144, 50184, 304, 21075, 11478, 477, 74706, 627, 5519, 539, 1440, 1148, 3460, 315, 6500, 499, 2643, 387, 304, 2778, 315, 30, 763, 1162, 499, 527, 15389, 369, 264, 6883, 502, 6500, 11, 499, 4805, 45063, 1057, 13057, 6727, 315, 21288, 19002, 11, 17963, 19002, 11, 4272, 12383, 11, 27527, 12383, 11, 37232, 370, 15027, 11, 323, 29679, 13, 1226, 617, 264, 7029, 6727, 315, 19002, 505, 74436, 16097, 1093, 8325, 11, 39424, 11, 12478, 11, 21533, 11, 96541, 11, 77077, 11, 76273, 11, 64799, 11, 18907, 11, 40478, 11, 323, 68498, 627, 564, 13, 12220, 279, 220, 6393, 21, 4261, 315, 420, 5557, 389, 279, 11841, 753, 1176, 7528, 6500, 5301, 40, 1741, 574, 8040, 8051, 358, 4070, 539, 779, 1690, 3932, 11, 4869, 6500, 5557, 706, 1027, 1511, 3738, 9873, 13, 29201, 34494, 3932, 649, 6435, 1523, 701, 4459, 4029, 13, 1115, 19240, 690, 1501, 499, 279, 1888, 1648, 311, 1005, 28518, 62109, 311, 743, 709, 9629, 46620, 311, 63652, 3566, 2816, 15613, 13, 12053, 18985, 1389, 44420, 483, 16641, 11, 578, 1005, 315, 4696, 4557, 279, 2800, 198, 42, 52, 8871, 586, 6500, 51048, 3085, 279, 15679, 12818, 2680, 311, 25213, 5070, 323, 5115, 264, 2763, 315, 3241, 2068, 304, 1520, 315, 21630, 11, 34225, 323, 92032, 54914, 520, 735, 52, 13, 13440, 477, 539, 499, 3207, 27989, 389, 1124, 477, 80907, 1124, 24931, 24794, 11, 279, 11333, 706, 5614, 279, 1648, 584, 3974, 1057, 6439, 13, 2435, 3493, 8336, 315, 16924, 323, 828, 11, 505, 11333, 5039, 311, 88466, 311, 2038, 7620, 13, 578, 4360, 449, 8122, 41115, 11, 38913, 11, 374, 430, 814, 4805, 21813, 499, 35447, 994, 499, 1205, 311, 387, 21811, 13, 55106, 11, 814, 7784, 1431, 2133, 311, 1205, 311, 7410, 1455, 315, 603, 311, 636, 8599, 311, 279, 5000, 315, 20695, 627, 49885, 433, 374, 539, 3604, 2288, 5652, 449, 5201, 311, 279, 14740, 315, 17863, 5557, 2949, 279, 24978, 4869, 994, 433, 4131, 311, 2731, 35996, 323, 4500, 449, 5201, 311, 67805, 323, 21630, 3388, 315, 11, 374, 5115, 3293, 13, 1226, 527, 3025, 311, 1304, 59772, 311, 2019, 430, 449, 1475, 50925, 2949, 279, 3158, 315, 17863, 1887, 1070, 374, 459, 65022, 16048, 304, 1202, 14740, 304, 279, 16627, 10706, 627, 14364, 5780, 11, 279, 3805, 12, 65424, 11, 5825, 7155, 99958, 11, 5423, 2391, 4106, 9282, 13, 763, 19672, 279, 2035, 32519, 14236, 3073, 11, 15687, 649, 10150, 311, 10051, 29076, 2085, 1694, 18290, 18815, 279, 10182, 13, 1102, 36755, 6981, 1524, 994, 279, 10182, 2795, 6062, 13, 64546, 30350, 58003, 279, 7720, 315, 22936, 11, 20314, 323, 44175, 19885, 315, 7138, 311, 38553, 4819, 311, 387, 29056, 13, 362, 3318, 24291, 35547, 3388, 315, 374, 459, 6381, 304, 5196, 627, 10464, 56940, 384, 11724, 13711, 320, 265, 1083, 285, 1189, 315, 1884, 5343, 304, 5210, 42158, 11, 5195, 62046, 11, 323, 1023, 7620, 570, 3161, 430, 1694, 9932, 11, 358, 6562, 311, 1505, 264, 1749, 311, 1520, 2678, 6424, 61095, 636, 3970, 555, 7926, 24909, 13, 1102, 10578, 31439, 4869, 1202, 539, 13, 5112, 3131, 810, 11, 4400, 690, 12446, 2085, 802, 1072, 788, 990, 13, 5884, 2336, 11, 2294, 4652, 9523, 369, 279, 21063, 13, 24229, 4696, 4557, 279, 2800, 198, 33413, 12, 717, 4967, 25076, 1389, 5557, 25076, 13500, 4477, 11, 8595, 5557, 25076, 482, 717, 4967, 7718, 30, 879, 11, 38124, 11, 586, 98083, 5557, 12387, 5627, 18885, 18640, 16627, 6215, 85, 21060, 2684, 527, 7447, 5540, 902, 527, 304, 1514, 304, 10223, 323, 3339, 279, 13723, 315, 279, 502, 13042, 10758, 21516, 1355, 30463, 287, 3772, 88703, 13, 3861, 4315, 1521, 62814, 527, 279, 12823, 23711, 449, 279, 6883, 502, 24084, 7972, 12208, 9268, 902, 6493, 13544, 502, 4221, 7620, 323, 7438, 14, 8110, 1385, 902, 617, 459, 2515, 389, 279, 6444, 11, 889, 1243, 842, 709, 6968, 264, 1917, 323, 14209, 2212, 323, 4871, 477, 449, 1521, 7425, 306, 3772, 12208, 9268, 527, 26611, 555, 1124, 323, 1023, 1274, 682, 927, 279, 41910, 14, 36779, 4435, 627, 1360, 716, 4920, 87385, 389, 8339, 753, 1160, 315, 12474, 22923, 13312, 32947, 374, 7648, 89901, 13, 1115, 649, 387, 264, 8486, 6319, 369, 837, 6500, 43448, 11, 279, 2262, 3769, 374, 52056, 27975, 369, 16757, 3932, 1174, 539, 502, 57773, 13, 2052, 19002, 617, 1063, 1376, 315, 6677, 5951, 902, 15714, 1124, 636, 11374, 477, 2612, 4819, 311, 279, 6376, 13, 578, 452, 15967, 17989, 264, 24182, 7905, 3717, 690, 907, 400, 17, 11, 7467, 824, 35022, 304, 12593, 449, 400, 35124, 17514, 414, 7895, 369, 264, 2167, 14048, 3717, 3770, 24182, 4334, 627, 12834, 1521, 27260, 16033, 2819, 527, 13524, 539, 3284, 311, 64508, 11, 814, 3207, 810, 4461, 311, 10570, 311, 387, 520, 279, 4851, 315, 16033, 37635, 304, 279, 1005, 323, 2955, 315, 828, 14645, 369, 279, 79003, 3938, 13, 9930, 499, 311, 701, 1862, 4491, 13, 13926, 13, 358, 1097, 439, 48026, 439, 499, 1981, 60419, 497, 2465, 94398, 21881, 369, 5196, 55080, 4344, 264, 1972, 50048, 3001, 4800, 2919, 529, 6500, 6975, 374, 264, 98024, 264, 961, 315, 6873, 11, 304, 2015, 430, 4236, 649, 8895, 6913, 2038, 315, 6500, 5557, 627, 38198, 95204, 32911, 22234, 15161, 18876, 328, 2636, 11, 386, 13793, 1871, 2234, 74, 771, 276, 20166, 1871, 41297, 220, 6640, 15, 79, 8797, 12445, 281, 5893, 1445, 32911, 8891, 39472, 6007, 10587, 11129, 4781, 69695, 13, 11361, 7752, 389, 701, 6170, 323, 18726, 11, 433, 374, 1790, 26893, 0, 65057, 311, 387, 1093, 264, 2763, 315, 1274, 4696, 4557, 279, 2800, 198, 51, 332, 668, 514, 6179, 32751, 84753, 14814, 42327, 28095, 2298, 384, 3900, 48193, 1862, 78, 21488, 26686, 87048, 26858, 51719, 13509, 1604, 1891, 28095, 2298, 13, 23548, 279, 5597, 369, 11469, 3062, 7422, 24059, 4236, 11, 16920, 12070, 617, 82577, 51480, 1534, 938, 668, 21630, 323, 617, 7543, 5066, 892, 304, 5528, 311, 2187, 4236, 311, 3619, 32068, 553, 6989, 13, 1115, 44818, 5535, 6500, 14248, 311, 1179, 11026, 315, 990, 304, 12496, 323, 38696, 555, 2577, 1286, 323, 17876, 1515, 9818, 13, 25218, 279, 2132, 4376, 315, 813, 5684, 11, 54763, 8710, 1268, 7137, 12496, 1436, 11000, 387, 1511, 311, 1893, 264, 16622, 369, 7999, 1403, 8026, 19016, 627, 791, 8927, 52, 706, 46121, 430, 923, 11, 33356, 11, 31370, 11, 323, 22497, 1403, 35884, 2819, 11, 439, 1664, 439, 46121, 369, 12496, 7677, 53007, 311, 3651, 323, 2794, 320, 1820, 2035, 264, 220, 16, 374, 33398, 439, 837, 323, 264, 7315, 439, 905, 11, 779, 430, 11, 439, 459, 3187, 11, 220, 16, 3651, 220, 15, 284, 7315, 26, 1518, 7137, 47976, 7609, 578, 8927, 52, 706, 264, 1396, 315, 311, 7191, 1109, 220, 1041, 25771, 430, 28191, 10519, 3135, 315, 1202, 83699, 369, 4726, 35884, 7677, 477, 369, 3480, 311, 1925, 5044, 627, 7184, 430, 499, 1440, 1268, 11660, 701, 9558, 2239, 374, 11, 304, 3878, 315, 5178, 11, 1095, 753, 636, 1314, 1523, 311, 2626, 13, 578, 24064, 34786, 315, 11, 279, 4509, 1137, 477, 64575, 315, 11, 19762, 264, 905, 58473, 26, 279, 9618, 261, 315, 19762, 905, 477, 4509, 1137, 315, 19762, 905, 2389, 8719, 11, 311, 3009, 14675, 13, 81238, 25, 1389, 8588, 15871, 3196, 12823, 527, 6319, 311, 1520, 264, 8205, 315, 7471, 12562, 13, 26041, 16692, 527, 3779, 311, 13334, 23099, 627, 38432, 597, 3614, 2857, 527, 76024, 5505, 323, 4148, 264, 2294, 3568, 315, 14560, 3823, 16628, 13, 1115, 6276, 810, 15962, 26171, 7351, 11, 323, 29790, 11351, 311, 3539, 17162, 8420, 311, 10299, 6130, 22639, 13, 20636, 264, 597, 76017, 50698, 6130, 1862, 28473, 24897, 430, 8403, 649, 19019, 323, 30820, 636, 477, 7142, 704, 1148, 814, 1390, 1418, 5687, 649, 5357, 389, 872, 6332, 22006, 13, 2684, 1253, 387, 7154, 4696, 4557, 279, 2800, 198, 24105, 8200, 520, 420, 892, 527, 1694, 264, 2763, 6532, 323, 8010, 315, 22934, 315, 6300, 5942, 4441, 323, 8141, 315, 872, 828, 323, 828, 8735, 18815, 872, 9434, 323, 5419, 4676, 13, 2435, 1440, 430, 422, 814, 1253, 539, 3790, 3630, 5070, 10489, 1070, 374, 912, 2035, 369, 1124, 304, 420, 19738, 2626, 16975, 13, 15344, 2626, 11351, 649, 1005, 5210, 9742, 323, 10299, 872, 4729, 6373, 1887, 20444, 6908, 11351, 1397, 38291, 8735, 7526, 323, 15174, 439, 824, 279, 32961, 323, 1404, 315, 279, 1912, 13, 2057, 21782, 8294, 6566, 7422, 18000, 323, 28697, 11, 584, 1436, 49643, 264, 12914, 430, 1253, 387, 264, 11190, 39975, 315, 1690, 4211, 323, 17931, 389, 279, 3917, 5030, 13, 578, 12914, 4536, 1431, 73603, 719, 264, 5505, 8641, 369, 279, 33315, 753, 5149, 311, 34477, 279, 64060, 753, 8294, 21630, 19248, 13, 19173, 499, 1436, 617, 311, 8493, 264, 2763, 315, 810, 3300, 311, 636, 459, 7855, 3834, 449, 1584, 8547, 503, 7977, 320, 55, 20721, 53427, 50, 8, 902, 374, 409, 61596, 279, 1888, 1648, 358, 37287, 311, 733, 1981, 719, 358, 25720, 358, 1253, 3868, 323, 7417, 430, 3010, 994, 358, 11075, 1148, 3169, 315, 38878, 358, 1205, 13, 578, 8582, 11028, 315, 279, 17737, 24423, 1093, 279, 29313, 617, 1630, 20721, 53427, 50, 627, 32, 1633, 1633, 35306, 4652, 13, 4740, 1373, 433, 11, 358, 1097, 48026, 520, 701, 1695, 6848, 323, 4477, 18000, 13, 11361, 264, 2763, 389, 701, 11821, 0, 1102, 374, 3604, 12738, 17523, 763, 279, 1317, 1629, 11, 433, 3952, 757, 1120, 220, 24, 4038, 323, 400, 868, 11, 931, 315, 21210, 10736, 311, 636, 14738, 47955, 323, 3157, 18726, 13, 41813, 7296, 24198, 311, 7431, 264, 59314, 2077, 13, 12040, 961, 2949, 279, 16421, 52, 5158, 8069, 9708, 2956, 24507, 311, 29531, 4040, 4868, 12659, 323, 7526, 627, 2460, 10180, 31541, 323, 527, 9879, 42134, 315, 362, 8253, 7972, 11, 15620, 13, 7388, 220, 1049, 15, 12, 679, 22, 362, 8253, 7972, 11, 15620, 13, 578, 19721, 21844, 18825, 47571, 16784, 11, 902, 10887, 264, 2466, 3560, 304, 279, 7342, 315, 279, 5000, 4696, 4557, 279, 2800 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 1966, 19163, 358, 41193, 430, 5896, 5340, 63858, 374, 264, 3568, 14739, 466, 1109, 77096, 13, 1666, 279, 14467, 79932, 1202, 1648, 1523, 1555, 3428, 9624, 11, 358, 1047, 94162, 288, 315, 58367, 13952, 82019, 32390, 291, 449, 52909, 3090, 12006, 323, 279, 28961, 97383, 37066, 505, 11191, 6962, 61363, 74317, 13, 2100, 1790, 369, 279, 4676, 13, 1226, 27212, 65904, 264, 17004, 11623, 36572, 559, 43376, 315, 23749, 389, 264, 52861, 430, 7111, 1093, 810, 1093, 279, 735, 13327, 40021, 1109, 4205, 82964, 398, 6573, 1093, 264, 1403, 14929, 13619, 315, 220, 966, 10166, 12314, 14509, 13, 4800, 358, 3619, 279, 1023, 7419, 315, 15715, 391, 38947, 627, 2356, 2370, 279, 17149, 279, 1176, 3245, 430, 17948, 757, 574, 430, 1475, 33517, 14006, 477, 779, 1070, 574, 264, 8993, 13, 4359, 596, 26888, 9441, 11, 578, 90422, 76607, 9441, 11, 578, 9441, 315, 279, 44468, 27445, 596, 320, 24544, 76051, 30393, 4024, 1828, 6134, 8, 323, 9441, 315, 279, 432, 24004, 362, 943, 320, 20670, 2011, 387, 9405, 1578, 48173, 13, 15936, 311, 1781, 315, 433, 11, 814, 656, 617, 348, 74501, 1618, 8, 311, 836, 264, 2478, 88608, 10507, 13, 8840, 11, 323, 279, 26351, 13, 8681, 4179, 6605, 93740, 315, 26122, 315, 682, 13124, 11096, 555, 264, 12314, 326, 6895, 9622, 17251, 291, 555, 264, 16579, 13840, 315, 7693, 13, 1442, 499, 1781, 18866, 83908, 98778, 3714, 1306, 264, 1523, 55619, 527, 54766, 11, 1456, 279, 934, 351, 76, 556, 323, 39682, 1080, 351, 2987, 814, 1650, 82835, 1618, 13, 20696, 374, 14739, 11, 24905, 5294, 477, 77315, 13, 9843, 4251, 24937, 14620, 527, 91567, 1636, 449, 279, 3776, 6650, 315, 1063, 35148, 81540, 13, 7570, 279, 810, 62486, 85871, 1427, 51533, 11, 439, 422, 814, 617, 1027, 30831, 7833, 505, 279, 743, 315, 32743, 43588, 13, 1666, 369, 1148, 304, 98792, 814, 2663, 3451, 1128, 496, 62067, 1556, 1132, 3074, 529, 320, 276, 1132, 292, 8246, 705, 279, 67163, 15661, 315, 18254, 21512, 17354, 24411, 1139, 737, 54228, 13987, 10632, 11, 38484, 274, 1639, 389, 904, 2561, 6710, 315, 653, 21974, 4363, 323, 11983, 8689, 11, 304, 2922, 8805, 11, 264, 38040, 11, 653, 19153, 323, 61007, 11, 1664, 11, 279, 96322, 1521, 653, 4057, 359, 988, 2011, 387, 52876, 374, 96603, 13, 4702, 6051, 304, 264, 2035, 2663, 5111, 462, 11, 2500, 4359, 69, 1105, 3448, 11140, 315, 1690, 389, 420, 32843, 11, 31183, 42436, 1990, 5896, 5340, 63858, 323, 77096, 814, 617, 1027, 11039, 1578, 13, 5046, 279, 7895, 477, 779, 22277, 5315, 304, 420, 21075, 7140, 11, 2380, 315, 1124, 5496, 24059, 1855, 1023, 304, 279, 50646, 4225, 10185, 2064, 14989, 315, 279, 20992, 9665, 3621, 311, 12491, 1855, 1023, 449, 264, 72788, 13, 1628, 315, 3388, 11, 279, 3016, 27149, 1070, 13, 358, 2019, 4359, 69, 1105, 3448, 719, 279, 5654, 374, 539, 12756, 75751, 3448, 13, 74418, 315, 1667, 4227, 279, 20992, 86278, 6070, 11, 279, 10182, 520, 279, 892, 11, 279, 84913, 10065, 323, 36581, 6650, 323, 17876, 31815, 3549, 279, 10728, 4787, 311, 23709, 279, 17055, 7063, 47620, 9124, 555, 279, 6485, 30903, 323, 22027, 315, 66266, 1234, 7410, 304, 459, 41390, 261, 31906, 4676, 13, 41812, 11, 279, 4459, 24905, 5294, 9622, 374, 19596, 389, 5707, 323, 1306, 11026, 315, 4500, 320, 269, 40761, 11911, 389, 3508, 499, 1440, 1268, 311, 53203, 42453, 71, 5757, 477, 539, 705, 1070, 753, 2103, 21577, 2163, 13, 1628, 279, 3392, 430, 374, 3451, 2414, 529, 374, 7859, 682, 279, 892, 439, 279, 7447, 57011, 3719, 1524, 810, 26611, 520, 9455, 323, 60508, 279, 6392, 323, 3738, 5961, 656, 4205, 311, 617, 8336, 315, 5707, 430, 814, 1541, 1431, 617, 311, 3780, 1022, 4423, 449, 264, 15600, 43713, 389, 872, 2010, 13, 58795, 5042, 11, 5127, 11, 279, 7447, 5392, 367, 1147, 11, 279, 3109, 11, 279, 7187, 11, 814, 682, 1390, 872, 6762, 4430, 13, 81363, 374, 11, 5127, 706, 264, 2204, 4623, 315, 1148, 753, 3451, 42000, 529, 323, 422, 264, 2478, 14971, 636, 293, 13883, 304, 71513, 279, 4360, 11, 1664, 11, 430, 753, 2626, 627, 10267, 753, 733, 1203, 311, 279, 10043, 13, 358, 617, 16625, 1120, 922, 17277, 11, 16386, 11, 3320, 3689, 111941, 11, 27852, 14559, 11, 11186, 529, 10481, 11, 12550, 4409, 11, 3131, 1524, 46337, 3403, 311, 7102, 264, 35404, 2403, 264, 8753, 1543, 449, 7315, 20366, 5030, 4871, 813, 32635, 2212, 279, 3700, 11691, 2428, 315, 12366, 11, 719, 1193, 1457, 656, 358, 7373, 15763, 1148, 364, 2201, 5718, 6, 3445, 13, 578, 9629, 374, 93840, 788, 13, 362, 19091, 1841, 462, 351, 25754, 2539, 389, 832, 3185, 6835, 31073, 369, 1148, 279, 6063, 753, 1650, 4323, 380, 78300, 388, 11, 20457, 12050, 11, 279, 4856, 84834, 6725, 315, 28818, 11731, 8800, 279, 14329, 1841, 462, 351, 25754, 323, 10043, 1139, 389, 5065, 9629, 449, 54317, 58817, 369, 5606, 753, 2324, 2646, 4059, 872, 1866, 13, 1666, 459, 16038, 11, 3515, 3970, 433, 389, 12387, 25975, 1457, 323, 2646, 3131, 11, 539, 3131, 3515, 16102, 32126, 264, 2010, 389, 19277, 11, 358, 1097, 2133, 311, 1935, 264, 3345, 1427, 520, 279, 88720, 29441, 311, 55433, 9515, 439, 1521, 2447, 1105, 2011, 617, 279, 2410, 315, 279, 7834, 5383, 26551, 5457, 2115, 13, 1628, 1541, 1431, 10894, 11, 55433, 12050, 527, 1790, 3152, 261, 1109, 80127, 2439, 11, 3451, 77, 1386, 1071, 627, 40, 617, 1101, 539, 3686, 1047, 279, 6776, 311, 4007, 279, 55433, 13890, 315, 7665, 7458, 955, 14765, 14640, 719, 358, 13085, 430, 49062, 1053, 733, 2555, 1093, 420, 25, 3320, 2094, 11, 10309, 320, 36046, 389, 8987, 11822, 11731, 1237, 61084, 11, 23911, 320, 1820, 21281, 374, 264, 3756, 1511, 311, 5225, 1023, 5754, 3932, 430, 701, 4817, 374, 4401, 1237, 426, 1538, 388, 11, 539, 5995, 320, 9514, 617, 88720, 11, 1148, 279, 15123, 656, 499, 1205, 28675, 388, 369, 30, 1237, 35622, 14603, 32786, 11, 23911, 320, 2000, 50244, 2197, 64502, 11, 71108, 645, 11, 8761, 220, 2639, 1354, 323, 76920, 388, 1139, 279, 50104, 11, 9168, 304, 1124, 11, 10309, 1237, 2380, 4579, 3160, 315, 8957, 11, 23911, 320, 2000, 55060, 95072, 398, 704, 315, 279, 5696, 753, 3185, 3321, 311, 90788, 389, 5065, 5754, 3932, 994, 10043, 279, 5076, 1648, 709, 264, 19091, 1841, 462, 351, 25754, 13, 358, 10585, 499, 539, 570, 1628, 279, 17931, 3857, 25, 14221, 265, 10247, 11, 264, 10051, 21070, 3756, 902, 11, 994, 9621, 3445, 430, 279, 7458, 1253, 1193, 387, 1511, 369, 264, 4726, 220, 605, 11, 931, 74, 1026, 520, 7340, 26735, 43284, 1603, 279, 74028, 95013, 320, 43063, 10051, 21070, 7438, 3451, 1712, 311, 27669, 2500, 74028, 529, 1237, 65456, 11, 279, 1841, 753, 389, 51906, 3480, 26, 17960, 11, 264, 832, 4579, 6710, 315, 64456, 9988, 13961, 505, 902, 4819, 25631, 96271, 315, 12314, 11, 3776, 1689, 28075, 26310, 3698, 28244, 33880, 282, 19131, 477, 3116, 4579, 39885, 26, 98973, 11, 264, 3756, 279, 6156, 734, 315, 902, 374, 311, 1654, 8023, 349, 279, 7458, 320, 19041, 527, 6118, 4330, 477, 4848, 77072, 367, 7969, 311, 5268, 505, 384, 1326, 18976, 220, 19, 339, 14787, 11, 53722, 1654, 8023, 367, 1555, 311, 220, 16, 267, 11, 11295, 1654, 8023, 367, 323, 25263, 14787, 11, 13147, 73588, 1237, 42190, 11, 264, 80573, 3158, 3060, 3185, 315, 279, 5754, 311, 1005, 304, 459, 13147, 422, 279, 98973, 14865, 320, 275, 374, 6118, 10409, 449, 8579, 6302, 902, 4546, 279, 7458, 21676, 311, 2800, 449, 279, 8187, 315, 24693, 5674, 1237, 8579, 6302, 11, 62558, 627, 5159, 5274, 374, 922, 220, 21, 97777, 505, 279, 28377, 13, 358, 617, 6755, 22169, 7493, 315, 17274, 1694, 31691, 369, 8254, 4207, 389, 420, 8104, 25629, 2766, 315, 19091, 1841, 462, 351, 25754, 13, 31048, 4207, 0, 38891, 11961, 520, 12801, 8869, 656, 11583, 822, 304, 18866, 10018, 304, 279, 50937, 7160, 11, 279, 6308, 1694, 2781, 6879, 505, 279, 1841, 555, 279, 6926, 53728, 315, 2197, 64502, 11, 71108, 645, 11, 8761, 220, 2639, 1354, 323, 76920, 388, 682, 4560, 311, 4662, 499, 279, 1633, 5652, 304, 8620, 14, 2356, 6993, 2423, 12466, 5557, 11, 584, 59967, 4225, 10185, 87076, 11, 8515, 365, 31049, 26310, 54662, 304, 63189, 4787, 11, 41926, 64866, 71707, 26310, 29602, 3950, 57455, 689, 11, 10597, 24699, 11, 4205, 430, 279, 69345, 35687, 617, 7263, 304, 505, 5734, 13, 578, 12047, 430, 358, 617, 56224, 779, 3117, 374, 1403, 4207, 11, 719, 1243, 1578, 11, 358, 1097, 264, 55433, 36999, 627, 791, 1023, 1938, 11, 369, 279, 1176, 892, 11, 358, 3952, 264, 31551, 2212, 279, 6424, 12541, 13, 1226, 527, 922, 27219, 4520, 6801, 414, 4207, 5640, 1146, 96731, 320, 40, 1550, 6420, 430, 279, 9629, 574, 50235, 11, 3287, 1431, 358, 10380, 505, 279, 4219, 315, 5896, 5340, 63858, 11, 459, 3158, 6800, 398, 14183, 311, 439, 279, 65120, 11, 279, 10423, 55555, 12299, 13, 1102, 374, 1618, 430, 832, 690, 1505, 279, 25325, 320, 27814, 307, 3675, 520, 400, 3101, 824, 3814, 11, 315, 3388, 8, 323, 279, 19424, 13, 578, 33425, 10349, 374, 5131, 279, 1455, 5526, 449, 1367, 2416, 988, 323, 279, 832, 11, 9093, 11, 311, 5766, 369, 279, 892, 1694, 13, 358, 2019, 279, 892, 1694, 1606, 433, 690, 1193, 3412, 3451, 3646, 92867, 1367, 266, 6469, 529, 2704, 369, 264, 11075, 4261, 13, 3639, 374, 264, 3451, 67, 47737, 4261, 529, 30, 578, 892, 433, 5097, 369, 279, 13481, 12855, 3262, 2661, 388, 14, 5812, 75, 6370, 14, 6151, 13636, 88512, 311, 39256, 1405, 279, 19641, 706, 24169, 6901, 323, 374, 5644, 369, 24322, 13, 362, 2478, 4062, 11, 51306, 13280, 323, 1306, 430, 11, 279, 60178, 33012, 690, 834, 82344, 13882, 1603, 279, 49816, 3131, 810, 1080, 3916, 1634, 1093, 4647, 17323, 311, 264, 8761, 3177, 320, 1962, 264, 1695, 46450, 430, 11, 279, 8761, 13001, 656, 539, 990, 1618, 8, 323, 814, 682, 59213, 1022, 311, 264, 502, 6469, 323, 3201, 584, 733, 1578, 13, 20636, 1071, 430, 11, 55433, 6469, 7980, 656, 520, 3325, 1304, 459, 4879, 311, 9966, 279, 4994, 5789, 315, 872, 19424, 555, 8405, 2225, 872, 1866, 4868, 323, 76712, 287, 4379, 9808, 311, 10894, 279, 2800, 315, 872, 34427, 323, 37455, 5694, 1070, 13, 358, 3131, 5602, 264, 6453, 6437, 3820, 5352, 43335, 304, 279, 35612, 449, 264, 15860, 315, 1633, 55349, 3995, 3026, 304, 279, 1203, 320, 278, 1315, 11, 814, 7111, 1093, 71836, 32638, 719, 814, 1051, 304, 14113, 705, 17903, 311, 279, 18311, 323, 682, 12512, 98024, 60469, 320, 258, 1162, 279, 8761, 13001, 3604, 3782, 389, 323, 90216, 1124, 570, 6419, 279, 3185, 315, 279, 7458, 574, 5439, 11, 3451, 8598, 61563, 369, 61563, 24535, 8489, 11, 520, 3325, 814, 3207, 10978, 11, 6230, 323, 603, 323, 584, 4805, 6230, 1203, 320, 269, 23749, 279, 4459, 40442, 449, 17392, 4027, 11, 889, 34672, 30, 2468, 3325, 279, 3016, 5334, 907, 369, 3300, 11, 832, 1648, 477, 2500, 4390, 4897, 19451, 3604, 3666, 9803, 279, 5410, 4033, 2077, 311, 4868, 24455, 13, 95504, 315, 1367, 2416, 349, 5274, 13077, 555, 22277, 5315, 374, 4279, 11, 5423, 304, 5707, 17843, 5789, 13, 1102, 6118, 8638, 449, 264, 5743, 315, 7931, 30240, 2680, 555, 8996, 3445, 323, 1243, 21939, 1825, 682, 279, 14365, 323, 11276, 1405, 59723, 279, 2800, 315, 279, 14458, 34044, 505, 279, 23902, 24923, 902, 814, 1047, 44133, 5694, 323, 27402, 304, 13, 7648, 5220, 323, 682, 7447, 5392, 367, 1147, 617, 12332, 32467, 62534, 6832, 34707, 14523, 433, 374, 311, 37667, 449, 279, 293, 17718, 12881, 430, 706, 1120, 84545, 279, 4689, 6783, 11, 2728, 279, 4868, 6783, 264, 1695, 26092, 323, 3451, 2808, 261, 660, 529, 279, 272, 5048, 268, 38681, 56794, 7215, 11, 279, 33962, 1960, 753, 36086, 323, 682, 279, 35519, 87860, 323, 27306, 16712, 430, 1436, 387, 1766, 304, 279, 4857, 13, 75311, 7246, 6118, 5900, 2555, 1093, 420, 512, 34868, 23896, 320, 43591, 8002, 7870, 304, 832, 1450, 11, 26310, 296, 5174, 660, 6638, 85855, 505, 9979, 304, 279, 1023, 1680, 3451, 2675, 617, 539, 2322, 701, 30255, 311, 279, 4029, 11, 584, 1390, 7032, 369, 682, 1521, 13305, 72434, 1115, 520, 264, 8286, 323, 21261, 315, 264, 735, 569, 18022, 7091, 21497, 19114, 627, 34868, 84757, 3416, 20148, 320, 34, 1623, 1680, 3451, 4071, 220, 1490, 4, 315, 1057, 8420, 2586, 505, 701, 4029, 11, 584, 617, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2028, 2802, 315, 10705, 8040, 439, 358, 4070, 1027, 1701, 11213, 20111, 916, 2533, 2212, 220, 679, 16, 13, 358, 11352, 430, 433, 706, 264, 6710, 315, 3241, 902, 584, 649, 1629, 520, 2162, 11, 323, 449, 279, 1314, 9863, 315, 12035, 11, 690, 387, 10695, 311, 8737, 369, 25761, 323, 3708, 279, 828, 311, 279, 1925, 2816, 627, 791, 4623, 374, 430, 25761, 13195, 872, 3649, 11, 3813, 11, 5099, 13, 927, 65335, 7826, 13, 4314, 527, 539, 25461, 323, 5606, 449, 264, 220, 7743, 15, 38592, 14291, 649, 3820, 709, 1884, 17738, 13, 3011, 753, 5128, 1790, 1148, 584, 690, 1977, 13, 362, 48665, 21286, 4401, 21286, 20111, 11, 323, 1701, 264, 328, 7842, 73836, 273, 311, 5371, 279, 220, 7743, 15, 38592, 17738, 627, 861, 315, 6956, 2631, 198, 8586, 527, 279, 2574, 499, 4805, 1205, 11, 358, 4805, 4430, 856, 2242, 13, 1472, 649, 8464, 311, 279, 21286, 20111, 4033, 1772, 369, 1023, 3649, 627, 12, 48665, 21286, 1389, 21877, 750, 264, 48665, 21286, 220, 17, 13, 1561, 261, 374, 2731, 13, 358, 3940, 449, 279, 1176, 9659, 21286, 426, 10, 323, 279, 14266, 374, 2288, 2362, 311, 6493, 1695, 5178, 627, 12, 15354, 3772, 369, 701, 432, 35867, 1389, 4461, 264, 18654, 5608, 320, 64, 5314, 5973, 13, 1380, 19824, 8, 3786, 13, 2468, 3325, 220, 23, 5494, 690, 387, 1695, 627, 12, 362, 328, 7842, 11602, 73836, 273, 1389, 328, 7842, 374, 4476, 69946, 13792, 11, 902, 374, 264, 3756, 430, 374, 3025, 311, 26306, 311, 264, 6908, 2134, 315, 34873, 13, 358, 1097, 1701, 279, 2360, 4748, 35853, 64051, 18, 15075, 505, 8339, 83412, 13, 578, 6462, 3782, 449, 87851, 627, 12, 510, 15669, 60, 362, 7200, 1522, 4141, 1389, 1115, 374, 311, 4335, 709, 279, 4036, 8450, 311, 279, 2134, 315, 34873, 584, 1390, 13, 18056, 4994, 315, 279, 7427, 584, 5128, 1790, 1193, 1205, 220, 7743, 15, 38592, 11, 420, 4141, 358, 1097, 1701, 11, 1903, 11951, 369, 27675, 20111, 5764, 220, 17272, 38592, 13, 1102, 374, 2500, 8450, 1511, 555, 25761, 304, 279, 2326, 13, 358, 649, 1518, 430, 449, 279, 4141, 21286, 20111, 374, 3025, 311, 3820, 709, 810, 6743, 627, 5159, 3230, 1977, 320, 49, 37062, 21286, 220, 18, 340, 12, 48665, 21286, 220, 18, 5008, 426, 10, 1389, 358, 617, 420, 21286, 369, 1690, 1667, 11, 323, 304, 3878, 315, 5178, 433, 5992, 311, 387, 810, 1109, 3403, 369, 21286, 20111, 13, 358, 5918, 264, 2132, 27675, 6251, 7442, 449, 264, 48665, 21286, 220, 19, 5008, 426, 220, 23, 5494, 430, 358, 15075, 505, 18221, 35785, 627, 12, 48665, 21286, 10984, 11915, 1389, 279, 832, 358, 11021, 374, 912, 5129, 2561, 389, 8339, 11, 719, 433, 5992, 4528, 311, 420, 627, 12, 220, 18, 13, 20, 22308, 22745, 4264, 1389, 279, 832, 358, 11021, 374, 912, 5129, 2561, 389, 8339, 11, 719, 433, 5992, 4528, 311, 420, 13, 1115, 706, 264, 2294, 7580, 505, 21286, 20111, 220, 19, 13, 15, 13, 578, 11349, 4264, 555, 21286, 20111, 374, 279, 468, 402, 4385, 548, 220, 18, 13, 20, 22308, 627, 12, 18654, 5608, 6938, 1389, 358, 4344, 264, 1317, 4751, 8847, 3267, 37563, 11, 323, 617, 264, 220, 843, 5494, 3786, 304, 856, 48665, 21286, 220, 18, 627, 12, 7572, 1389, 1701, 264, 1695, 2410, 13253, 369, 279, 48665, 21286, 374, 3062, 13, 358, 4070, 50350, 279, 2653, 1648, 11, 323, 1097, 1457, 1193, 38072, 311, 279, 4113, 13253, 505, 48665, 21286, 13, 578, 3885, 358, 4070, 1511, 649, 1431, 14201, 279, 22465, 520, 5190, 2410, 4128, 13, 3861, 4788, 374, 264, 5190, 22359, 7447, 2700, 1556, 7197, 45669, 902, 358, 1005, 369, 856, 4641, 23468, 8216, 13, 3011, 374, 459, 927, 11088, 369, 832, 21286, 3582, 627, 12, 328, 7842, 1389, 2360, 4748, 35853, 64051, 220, 18, 430, 358, 11713, 505, 8339, 83412, 627, 12, 220, 17272, 38592, 612, 220, 7743, 15, 38592, 17366, 10175, 12619, 1389, 358, 656, 1505, 430, 856, 743, 709, 374, 12588, 810, 6743, 1306, 7999, 279, 4141, 13, 1102, 374, 10309, 369, 2771, 627, 19805, 40245, 8773, 198, 40, 2834, 1431, 733, 1139, 279, 3649, 311, 42840, 279, 6956, 3871, 13, 358, 690, 3350, 922, 279, 3241, 13189, 13, 3277, 358, 1550, 420, 11, 433, 574, 2103, 21286, 20111, 220, 18, 2036, 323, 1070, 527, 264, 2478, 7504, 311, 733, 1555, 13, 1472, 4805, 1390, 311, 4667, 701, 13939, 11, 8814, 323, 42150, 8891, 311, 279, 48665, 21286, 369, 279, 743, 709, 13, 3277, 499, 527, 2884, 11, 499, 1288, 539, 1205, 1521, 904, 810, 11, 323, 279, 3756, 649, 198, 12, 5629, 709, 374, 311, 636, 3412, 315, 279, 48665, 21286, 2417, 1435, 505, 85146, 65, 618, 82077, 2726, 13, 5560, 279, 5652, 48665, 21286, 220, 843, 11777, 10293, 13, 39397, 505, 279, 4033, 3997, 374, 5128, 1695, 311, 636, 499, 3347, 420, 1486, 13, 1442, 499, 617, 459, 6484, 21286, 11, 1304, 2771, 499, 527, 520, 3325, 389, 96587, 4984, 627, 12, 15354, 709, 701, 48665, 21286, 1389, 14749, 279, 2768, 198, 12, 3636, 369, 279, 1217, 9115, 320, 333, 499, 1390, 311, 2349, 264, 6059, 11, 733, 8469, 340, 12, 7431, 30330, 1389, 1005, 51010, 2554, 26187, 198, 12, 14749, 29130, 1389, 1005, 51010, 2554, 26187, 439, 1664, 369, 34517, 5110, 198, 12, 2175, 279, 328, 7842, 3318, 449, 48665, 21286, 198, 12, 4314, 527, 279, 7504, 358, 8272, 505, 2360, 4748, 35853, 3997, 627, 12, 4343, 430, 701, 328, 7842, 374, 16914, 555, 48665, 21286, 10293, 198, 12, 4343, 430, 279, 1670, 33876, 65, 12050, 617, 1027, 6799, 555, 48665, 21286, 10293, 13, 1666, 1317, 439, 1063, 5238, 527, 6052, 11, 12050, 527, 6799, 198, 2554, 3, 20170, 2658, 765, 21332, 33876, 65, 198, 12, 5348, 1638, 279, 328, 7842, 73836, 273, 779, 430, 48665, 21286, 10293, 1587, 539, 2865, 279, 1670, 12050, 627, 2554, 3, 26481, 1722, 330, 11708, 1638, 33876, 65, 51963, 1745, 11805, 1591, 4239, 84, 1, 3662, 611, 12380, 39579, 53429, 962, 99645, 1638, 821, 43505, 14263, 198, 12, 1050, 4722, 279, 48665, 21286, 198, 2554, 3, 26481, 35692, 198, 12, 8955, 1578, 994, 433, 706, 2586, 709, 11, 323, 1817, 3131, 3941, 311, 1304, 2771, 279, 1670, 423, 37974, 12050, 527, 539, 6799, 11, 279, 1833, 3290, 2011, 539, 7692, 904, 2612, 627, 2554, 3, 20170, 2658, 765, 21332, 33876, 65, 198, 12, 9479, 584, 4685, 279, 2631, 12050, 369, 2360, 4748, 35853, 64051, 220, 18, 198, 2554, 3, 26481, 20697, 23304, 4685, 62160, 1355, 3696, 198, 12, 422, 1070, 753, 264, 198, 9726, 510, 56, 9809, 60, 41681, 11, 5268, 198, 12, 3277, 279, 14028, 374, 8308, 11, 584, 649, 656, 264, 4062, 1296, 198, 12, 3821, 279, 2612, 369, 922, 220, 20, 82, 12, 605, 82, 323, 1243, 3577, 53586, 7813, 311, 17257, 198, 12, 1472, 1390, 311, 1304, 2771, 701, 328, 7842, 73836, 273, 374, 16914, 323, 1070, 527, 912, 5675, 10688, 198, 12, 578, 12050, 369, 279, 64051, 18, 527, 5644, 11, 323, 584, 649, 3009, 520, 420, 961, 315, 279, 2360, 4748, 35853, 11470, 11, 439, 584, 656, 539, 1205, 279, 480, 80, 12940, 3241, 369, 21286, 20111, 627, 791, 2768, 7504, 527, 4529, 505, 279, 21286, 59893, 11630, 14028, 2199, 13, 358, 279, 2926, 14646, 1253, 6420, 922, 10488, 7743, 15, 11, 433, 374, 539, 264, 864, 5621, 33524, 520, 420, 6566, 13, 1442, 499, 1833, 279, 11470, 11, 433, 690, 1101, 3063, 311, 27730, 279, 3241, 627, 1688, 420, 1486, 11, 279, 25329, 374, 430, 279, 48665, 21286, 374, 8599, 311, 279, 4009, 323, 706, 2680, 311, 279, 8191, 13, 23212, 11, 279, 328, 7842, 73836, 273, 374, 2736, 743, 709, 304, 279, 6931, 7504, 3485, 627, 12, 8745, 264, 3048, 315, 279, 21286, 59893, 14028, 6462, 11, 8464, 311, 279, 4033, 2199, 369, 904, 6177, 11028, 13, 6588, 279, 3770, 304, 279, 2162, 6352, 315, 279, 9115, 1217, 627, 2554, 3, 65608, 3788, 1129, 39490, 20111, 916, 14, 7819, 65, 63328, 20111, 34320, 74019, 4420, 1786, 63328, 20111, 4420, 63328, 20111, 57047, 63328, 20111, 5621, 3176, 62, 19, 13, 15, 5823, 81831, 198, 2554, 3, 26481, 11581, 7501, 482, 72, 9115, 20111, 5621, 3176, 62, 19, 13, 15, 5823, 81831, 198, 12, 8745, 9013, 323, 20113, 369, 48665, 21286, 10293, 198, 2554, 3, 26481, 20697, 23304, 2713, 198, 2554, 3, 26481, 20697, 23304, 4685, 9115, 20111, 198, 12, 4800, 11, 9115, 20111, 374, 10487, 11, 323, 584, 690, 1304, 264, 5743, 315, 2242, 4442, 311, 2187, 3313, 9013, 315, 9115, 20111, 13, 1442, 499, 1093, 311, 617, 11630, 2585, 11, 1243, 10936, 420, 3094, 627, 2554, 3, 26481, 9115, 20111, 26187, 2187, 20533, 5352, 6528, 10035, 198, 2554, 3, 26481, 9115, 20111, 26187, 2187, 21110, 940, 5352, 6528, 10035, 198, 12, 9479, 374, 311, 4685, 10488, 7743, 15, 323, 10488, 17272, 11, 1855, 315, 1521, 649, 1935, 264, 2697, 810, 892, 198, 2554, 3, 26481, 20697, 23304, 4685, 10488, 7743, 15, 2269, 64, 198, 2554, 3, 26481, 20697, 23304, 4685, 10488, 17272, 2269, 64, 198, 12, 2052, 14028, 706, 8308, 11, 584, 4805, 1205, 264, 35692, 198, 2554, 3, 26481, 35692, 198, 8861, 279, 27675, 6251, 7442, 311, 701, 27675, 59893, 2759, 198, 2746, 499, 4070, 1027, 2768, 279, 7504, 2533, 279, 1212, 315, 420, 1772, 11, 520, 420, 1486, 11, 499, 1288, 617, 264, 7373, 16003, 27675, 6251, 7442, 13, 1442, 279, 3463, 12775, 1431, 28129, 701, 4059, 3686, 11, 1095, 757, 31225, 433, 1457, 13, 2650, 656, 499, 22712, 279, 502, 27675, 6251, 7442, 449, 701, 27675, 59893, 2759, 627, 5451, 323, 43780, 11, 422, 499, 9167, 1431, 3549, 459, 2759, 389, 27675, 59893, 916, 499, 617, 311, 656, 433, 1457, 13, 1102, 1288, 387, 264, 14595, 1879, 709, 1920, 902, 358, 3987, 499, 527, 11537, 449, 627, 12805, 701, 2759, 374, 5644, 11, 4295, 709, 279, 5665, 3788, 1129, 39490, 20111, 916, 14, 7819, 65, 63328, 20111, 14, 8017, 13, 9843, 499, 636, 1070, 11, 499, 4805, 1518, 264, 2199, 449, 279, 3770, 627, 2181, 374, 264, 23490, 7941, 1920, 13, 358, 1781, 279, 1401, 374, 430, 279, 6500, 499, 527, 1701, 311, 4295, 279, 5665, 374, 389, 279, 1890, 4009, 439, 701, 48665, 21286, 13, 3092, 8101, 374, 430, 279, 27675, 59893, 3997, 374, 3025, 311, 44917, 430, 2225, 279, 432, 35867, 323, 701, 6500, 527, 11821, 279, 1890, 586, 6933, 2686, 11, 323, 1070, 374, 5131, 459, 653, 21974, 2937, 13, 1102, 690, 1120, 22712, 430, 2937, 449, 701, 2759, 627, 2675, 527, 5128, 1790, 2884, 13, 2684, 527, 1063, 5110, 499, 649, 1514, 2212, 449, 389, 701, 65335, 7826, 3926, 7442, 25647, 2199, 13, 578, 5110, 358, 24891, 1051, 11, 323, 304, 8668, 25, 7058, 12, 13207, 4076, 198, 12, 52052, 10067, 198, 12, 52459, 389, 56769, 5135, 198, 12, 4470, 425, 72966, 198, 12, 4275, 15795, 21348, 198, 2028, 574, 264, 2523, 3217, 323, 2751, 757, 311, 387, 810, 11537, 449, 856, 48665, 21286, 13, 6104, 3815, 420, 11, 279, 21286, 59893, 220, 19, 13, 15, 4984, 3782, 704, 323, 433, 5764, 264, 5918, 304, 1862, 369, 279, 220, 18, 13, 20, 22308, 22745, 4264, 13, 1115, 374, 2294, 439, 358, 617, 420, 4264, 369, 264, 5743, 315, 1667, 1457, 11, 719, 2646, 1047, 264, 1695, 1005, 369, 433, 627, 40, 3987, 499, 1505, 420, 5505, 13, 358, 4070, 3779, 304, 1063, 3649, 430, 1051, 539, 2867, 449, 279, 4113, 11470, 13, 358, 4070, 11763, 1521, 7504, 264, 2478, 3115, 1457, 1418, 358, 5918, 323, 60685, 856, 27675, 30016, 388, 11, 358, 3987, 433, 374, 2867, 3403, 369, 5606, 775, 889, 25223, 311, 3041, 420, 264, 1456, 627, 644, 264, 3938, 1772, 11, 358, 4805, 4430, 856, 3217, 56228, 311, 21286, 59893, 311, 220, 19, 13, 15, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2675, 1440, 11, 1475, 3131, 304, 264, 1418, 433, 596, 264, 1695, 4623, 311, 11819, 701, 836, 11, 362, 27542, 37374, 1355, 30463, 13, 2650, 775, 1053, 358, 1440, 430, 358, 2846, 1694, 24116, 304, 18228, 6787, 330, 8989, 458, 26181, 15100, 430, 1131, 3343, 353, 2059, 57229, 20517, 358, 1101, 1766, 704, 2555, 3062, 369, 990, 320, 64, 3717, 311, 279, 2068, 539, 1903, 8, 430, 358, 574, 3025, 311, 617, 8521, 13, 2100, 37374, 58840, 374, 1695, 0, 358, 1288, 617, 2884, 433, 389, 990, 892, 4999, 4354, 2046, 596, 7422, 323, 3815, 17036, 1828, 2046, 596, 7422, 323, 3815, 198, 2028, 10368, 1101, 706, 14618, 704, 311, 757, 1268, 1633, 11, 1633, 3958, 459, 2613, 49664, 358, 3077, 1027, 13, 358, 1097, 4560, 311, 387, 2731, 0, 59121, 757, 0, 1628, 358, 2846, 2731, 1109, 358, 617, 1027, 304, 279, 3347, 627, 32, 13326, 2046, 11, 449, 264, 32349, 26129, 11, 264, 17422, 26129, 11, 264, 31181, 290, 4410, 13093, 6574, 11, 990, 11, 2324, 11, 1989, 13, 358, 15243, 311, 60771, 889, 374, 389, 1077, 1648, 311, 279, 90895, 713, 276, 15379, 13, 358, 1373, 323, 49614, 323, 6267, 323, 10212, 264, 15860, 315, 2574, 369, 6412, 389, 4376, 916, 323, 39516, 916, 323, 6216, 264, 2478, 315, 1124, 13, 358, 6476, 449, 71471, 323, 1077, 1069, 81378, 50876, 320, 1964, 19214, 22068, 8, 323, 617, 1077, 264, 3830, 311, 1514, 449, 323, 264, 5684, 9145, 13, 1226, 1047, 264, 11364, 14177, 520, 350, 15924, 596, 430, 1364, 30205, 323, 358, 3604, 41778, 264, 43849, 369, 279, 15496, 13, 1628, 584, 2751, 1935, 704, 369, 14177, 6740, 3814, 520, 1057, 19214, 2254, 27490, 10960, 13, 358, 1047, 264, 9099, 5916, 315, 20236, 719, 779, 9099, 430, 358, 3287, 956, 3194, 904, 990, 477, 1023, 4455, 313, 40, 1120, 1047, 18718, 54888, 1606, 315, 264, 5916, 315, 34653, 627, 4516, 11, 279, 2466, 3754, 369, 757, 374, 430, 358, 3287, 956, 4018, 856, 7013, 13, 358, 3077, 1027, 7422, 315, 433, 369, 4038, 323, 1047, 5616, 6773, 311, 11, 1524, 7111, 709, 279, 32776, 315, 3021, 2816, 311, 33009, 856, 7013, 311, 1124, 439, 856, 3197, 574, 311, 656, 430, 323, 1243, 311, 1212, 7214, 7982, 433, 704, 1578, 13, 358, 13205, 311, 617, 264, 13538, 323, 4740, 6945, 1618, 323, 4395, 313, 8248, 433, 596, 682, 2103, 13538, 13, 1628, 690, 7293, 13538, 369, 279, 79003, 3938, 11, 439, 11641, 27115, 14264, 810, 23268, 520, 279, 1633, 4623, 13, 2100, 1457, 584, 617, 264, 3568, 313, 383, 706, 311, 15998, 856, 7013, 369, 757, 520, 3325, 2380, 3115, 264, 2046, 13, 1226, 3358, 1518, 1268, 1317, 430, 40758, 13, 358, 3358, 1095, 499, 1440, 994, 279, 7013, 5334, 4018, 627, 2181, 596, 1120, 430, 358, 2846, 264, 2697, 34386, 449, 3515, 856, 7013, 1317, 11, 449, 433, 2744, 3411, 1093, 433, 3966, 77826, 11, 323, 449, 433, 3794, 10791, 304, 2574, 13, 61133, 433, 2751, 10791, 76699, 304, 279, 1841, 596, 10954, 19671, 439, 358, 574, 3794, 1139, 279, 1841, 13, 1628, 520, 3814, 994, 568, 4442, 2361, 39315, 23291, 389, 433, 323, 34145, 433, 13, 1102, 1101, 5334, 3958, 61317, 13, 1628, 433, 5097, 16058, 311, 9235, 627, 3112, 358, 2846, 1120, 5644, 369, 264, 2349, 627, 4071, 539, 3686, 11, 358, 8101, 627, 1687, 2751, 12131, 26224, 596, 220, 1041, 15, 23116, 315, 32495, 10948, 323, 617, 2216, 1027, 22128, 430, 323, 2751, 279, 502, 5651, 350, 4422, 779, 8776, 29036, 323, 29036, 21161, 13, 10291, 1457, 584, 2351, 5737, 264, 12131, 26224, 21497, 2624, 323, 584, 2351, 520, 330, 86295, 704, 279, 35270, 3343, 8681, 6392, 13, 6984, 311, 220, 1041, 15, 23116, 315, 32495, 10948, 25, 499, 9167, 956, 12439, 3156, 499, 3077, 6755, 12131, 26224, 7936, 330, 56372, 11, 358, 14910, 1102, 14077, 3343, 358, 1047, 912, 4623, 433, 574, 3604, 264, 15326, 5609, 627, 4354, 2046, 596, 14624, 17036, 1828, 2046, 596, 14624, 198, 10156, 2259, 4997, 942, 596, 18955, 11346, 374, 279, 4948, 11775, 315, 11074, 358, 3077, 1373, 320, 4151, 856, 6287, 220, 1313, 11, 220, 2550, 24, 323, 6664, 220, 975, 11, 220, 1049, 16, 10925, 369, 6170, 389, 1077, 3766, 32963, 8, 323, 420, 374, 459, 1524, 11493, 11775, 313, 64, 3634, 43516, 922, 279, 25382, 315, 279, 3117, 3823, 3938, 11, 323, 279, 15696, 315, 892, 11, 3634, 11, 323, 279, 15861, 13, 1102, 12302, 994, 264, 4376, 12, 26522, 5848, 3823, 320, 20670, 1650, 1521, 279, 1789, 3640, 323, 1521, 20566, 2134, 505, 11841, 60661, 630, 388, 311, 20229, 9622, 15232, 8, 889, 374, 264, 3634, 22477, 374, 23069, 11, 8552, 555, 3634, 35098, 994, 1364, 1505, 264, 2536, 70095, 37739, 13, 1102, 5084, 1093, 264, 4382, 26110, 11, 719, 311, 1077, 10988, 1364, 52114, 5084, 311, 617, 92659, 2410, 313, 275, 5097, 1077, 7214, 1203, 311, 279, 13238, 1887, 555, 1077, 17983, 6562, 311, 387, 1203, 1070, 13, 53485, 77037, 1534, 11, 1364, 28727, 420, 330, 87722, 1, 649, 387, 279, 2592, 315, 279, 1789, 3640, 55633, 505, 279, 2800, 315, 279, 3823, 7102, 11, 323, 279, 11841, 3221, 1405, 1364, 1766, 433, 649, 387, 872, 14850, 323, 279, 7314, 315, 872, 1866, 3857, 315, 279, 34261, 13, 1115, 374, 264, 6485, 11, 41765, 11775, 430, 1193, 2751, 2731, 369, 757, 439, 358, 1373, 433, 13, 51762, 627, 62786, 62982, 596, 10657, 22037, 374, 2500, 10535, 11775, 13, 358, 2744, 617, 9709, 16024, 922, 1077, 32963, 13, 2684, 596, 2555, 922, 1124, 430, 358, 3021, 313, 31606, 950, 2574, 313, 8248, 814, 2744, 5387, 757, 8430, 14091, 47365, 11, 430, 1070, 596, 2555, 1120, 7554, 369, 757, 922, 1148, 1364, 1587, 13, 1115, 374, 279, 17821, 3446, 315, 264, 50592, 5333, 889, 13208, 1157, 323, 8779, 27208, 264, 893, 889, 574, 304, 264, 11277, 36850, 520, 2380, 1667, 2362, 323, 889, 574, 7263, 709, 555, 56271, 13, 1628, 1243, 814, 4498, 304, 3021, 13, 2052, 420, 17395, 555, 1077, 30607, 3811, 10177, 11, 1077, 34268, 4538, 323, 813, 1176, 837, 3021, 11, 1077, 10868, 596, 3575, 320, 1964, 10868, 1120, 8741, 311, 387, 279, 8545, 893, 596, 73969, 705, 323, 264, 4101, 315, 520, 1176, 10065, 1243, 3823, 16779, 13, 358, 1781, 856, 3575, 1618, 374, 1405, 279, 17821, 5596, 3621, 814, 1541, 956, 2733, 1093, 11204, 311, 11, 1120, 75082, 4477, 11, 779, 358, 1541, 956, 7095, 279, 5150, 11204, 13, 358, 1541, 956, 1440, 13, 9029, 2567, 65774, 1124, 311, 757, 11, 779, 358, 2567, 4560, 1124, 13, 320, 10031, 856, 6250, 220, 1591, 339, 4441, 369, 2500, 30505, 62982, 4441, 340, 4354, 2046, 596, 5403, 17036, 1828, 2046, 596, 5403, 198, 32, 502, 33894, 0, 358, 649, 956, 6227, 994, 358, 1566, 6267, 264, 502, 33894, 13, 1628, 832, 358, 2846, 2216, 5115, 6380, 449, 627, 791, 11775, 24493, 33824, 48946, 264, 2697, 11, 4245, 311, 264, 5743, 315, 2919, 994, 358, 10968, 856, 6666, 389, 279, 33894, 11, 719, 814, 1550, 3136, 3131, 358, 10717, 1694, 44898, 555, 279, 33894, 627, 40, 2846, 18949, 13, 358, 4265, 6051, 1027, 40876, 922, 1268, 2697, 6666, 358, 3077, 1027, 12798, 311, 5403, 477, 4477, 32349, 323, 3940, 312, 12, 6285, 1063, 19214, 32349, 6603, 323, 11096, 459, 2613, 1160, 430, 24400, 389, 3278, 323, 32349, 13, 2876, 430, 358, 1205, 3686, 2500, 2613, 1160, 11, 719, 358, 656, 1205, 311, 387, 31256, 315, 1268, 1790, 32349, 13146, 311, 757, 11, 323, 433, 596, 892, 311, 387, 15246, 311, 502, 74072, 323, 6848, 922, 32349, 627, 4354, 2046, 596, 4477, 17036, 1828, 2046, 596, 4477, 198, 33877, 220, 2550, 16, 25, 27852, 311, 9635, 449, 11641, 323, 60771, 198, 34774, 11, 7552, 220, 1032, 11, 220, 2550, 16, 198, 33562, 709, 304, 892, 369, 17954, 11, 719, 7366, 14297, 627, 5451, 584, 4024, 311, 2009, 88873, 4783, 313, 5746, 713, 788, 50961, 11, 35217, 11, 18341, 11, 323, 33589, 11, 9172, 555, 21130, 313, 276, 8056, 6437, 11, 6348, 3422, 1189, 323, 11204, 13, 70707, 16252, 82970, 3130, 449, 264, 57713, 13, 34496, 14769, 17277, 499, 7111, 11, 1063, 11763, 11, 719, 10213, 12756, 2204, 304, 279, 5438, 288, 315, 279, 3321, 16712, 11, 279, 6558, 11, 279, 14620, 709, 311, 264, 1579, 58438, 22959, 449, 61152, 9168, 313, 54760, 17104, 13, 17646, 826, 6957, 279, 2800, 315, 279, 3838, 313, 86, 11364, 23809, 5034, 90405, 555, 18530, 261, 12278, 3233, 11, 1063, 68782, 555, 2009, 88873, 5678, 13, 578, 5955, 3130, 520, 279, 1948, 315, 279, 32249, 574, 279, 41044, 3039, 323, 1047, 6051, 1027, 28101, 11, 38467, 6520, 11364, 23162, 44952, 320, 92062, 956, 636, 304, 430, 8, 430, 927, 57932, 279, 82970, 3130, 313, 88044, 6453, 7732, 1841, 85, 826, 627, 49949, 291, 2212, 96833, 264, 2697, 27905, 3411, 12018, 40086, 369, 11641, 320, 32050, 570, 800, 18033, 1022, 520, 5340, 299, 5469, 313, 96470, 323, 2523, 11, 2751, 15600, 369, 90134, 459, 912, 832, 1047, 3596, 6755, 315, 21077, 596, 1847, 662, 5112, 264, 1317, 11, 1317, 12141, 389, 279, 436, 3845, 311, 279, 842, 315, 279, 23225, 1584, 520, 468, 1902, 309, 267, 363, 323, 264, 294, 411, 727, 4321, 311, 279, 12656, 30283, 24925, 627, 2181, 574, 264, 2697, 39223, 11, 5423, 304, 3177, 315, 279, 2009, 88873, 4783, 11, 719, 433, 574, 11364, 311, 1518, 1972, 9863, 315, 279, 44686, 323, 279, 53054, 323, 279, 14891, 6319, 555, 279, 2883, 13, 362, 2763, 315, 2574, 555, 813, 13734, 627, 3915, 1070, 584, 4024, 11, 36001, 11, 311, 473, 43157, 44774, 662, 12595, 279, 16333, 2265, 27315, 11, 13061, 709, 1057, 14741, 11, 323, 1766, 264, 11364, 426, 15931, 369, 264, 330, 2067, 363, 704, 1, 15496, 13, 60771, 323, 11641, 1047, 37547, 313, 47100, 612, 58466, 11, 31735, 612, 60610, 313, 40, 1047, 264, 18406, 39406, 1812, 543, 919, 449, 48438, 627, 10227, 56499, 315, 56750, 1, 3940, 520, 220, 22, 25, 966, 13, 1226, 1051, 14470, 1579, 709, 320, 2201, 2531, 3130, 11, 1633, 4106, 8, 719, 1436, 1518, 1664, 13, 1102, 574, 264, 15234, 5788, 11, 449, 32527, 15407, 320, 2017, 51908, 8, 323, 927, 1773, 2453, 780, 4731, 1990, 6237, 4442, 11, 743, 304, 279, 220, 508, 82, 11, 719, 1047, 1695, 14269, 313, 7229, 689, 612, 1443, 88, 1039, 11, 5423, 13, 578, 2800, 315, 279, 15718, 574, 4400, 1633, 3361, 313, 17555, 82513, 574, 3958, 11, 5596, 39532, 20303, 627, 51, 83071, 279, 842, 994, 5127, 574, 9204, 709, 520, 5896, 689, 596, 320, 9210, 596, 1268, 433, 9508, 570, 35272, 19813, 311, 11011, 4423, 5108, 323, 1070, 596, 264, 1841, 21281, 11, 41659, 5770, 9922, 304, 264, 3937, 5620, 32519, 320, 67, 5100, 323, 95090, 8, 323, 358, 6688, 264, 4224, 371, 315, 43214, 320, 1962, 832, 775, 304, 279, 10877, 1550, 8, 1405, 10924, 60771, 323, 358, 36014, 449, 43214, 320, 37734, 264, 2697, 11, 2288, 8, 369, 264, 1695, 4330, 4520, 13, 2100, 28093, 911, 9373, 323, 30571, 13, 5896, 689, 304, 15310, 32703, 978, 1102, 574, 1093, 430, 313, 2017, 398, 20303, 9660, 320, 1820, 6453, 42826, 8, 323, 39532, 8987, 320, 3059, 343, 568, 321, 56910, 1120, 520, 279, 842, 315, 1443, 88, 1039, 596, 18506, 570, 42482, 559, 606, 1555, 433, 11, 8994, 279, 45188, 323, 430, 28093, 911, 35594, 477, 8530, 1606, 315, 433, 313, 1820, 1495, 9508, 17354, 50592, 505, 1148, 574, 311, 387, 3970, 389, 6566, 627, 7778, 11, 1633, 98208, 11, 1554, 12160, 15653, 682, 2212, 11, 34853, 311, 4950, 627, 16, 13, 4314, 1051, 682, 54764, 358, 574, 50698, 369, 4885, 198, 17, 13, 86822, 2718, 11, 1606, 30283, 1047, 264, 3831, 3717, 449, 473, 43157, 44774, 627, 4354, 2046, 596, 2362, 8486, 17036, 1828, 2046, 596, 2362, 8486, 198, 5966, 10563, 17036, 11876, 14582, 33903, 1963, 17036, 9479, 10563 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 38255, 25, 2650, 311, 19796, 264, 423, 670, 1752, 20217, 28910, 482, 32558, 198, 19182, 22172, 11, 358, 2846, 28217, 43822, 79, 2933, 404, 13, 358, 3974, 304, 4987, 29974, 1405, 279, 10182, 374, 1633, 4106, 323, 67038, 369, 810, 1109, 4376, 315, 279, 1060, 13, 358, 8493, 264, 2763, 315, 892, 304, 856, 26129, 11, 779, 358, 6773, 311, 4685, 264, 32558, 13726, 6859, 10807, 323, 8798, 14155, 369, 9499, 323, 38193, 2585, 13, 578, 4491, 24882, 32558, 220, 972, 11, 931, 21795, 52, 220, 16, 13, 20, 31816, 423, 670, 1752, 20217, 6354, 2344, 6690, 15534, 261, 323, 27162, 34826, 320, 2590, 25, 32558, 12, 972, 12, 6748, 12, 9870, 32, 8, 5052, 856, 3966, 11, 779, 358, 15075, 279, 5089, 627, 6919, 8845, 323, 5492, 8410, 198, 5159, 26129, 374, 264, 8821, 4857, 505, 856, 1925, 3838, 323, 433, 706, 220, 17, 5990, 13, 578, 1176, 2237, 374, 856, 26129, 323, 279, 2132, 2237, 374, 856, 2162, 5274, 13, 358, 6773, 433, 574, 1888, 311, 4148, 279, 4113, 66433, 1887, 13, 1102, 574, 1633, 2362, 323, 539, 5922, 279, 2853, 315, 13023, 627, 40, 6773, 311, 4685, 264, 45339, 1752, 13726, 6859, 304, 856, 2162, 5274, 2391, 279, 4498, 315, 220, 679, 21, 13, 4740, 1690, 4207, 315, 3495, 11, 358, 10487, 279, 4491, 24882, 32558, 220, 972, 11, 931, 21795, 52, 220, 16, 13, 20, 31816, 423, 670, 1752, 20217, 6354, 2344, 6690, 15534, 261, 323, 27162, 34826, 320, 2590, 25, 32558, 12, 972, 12, 6748, 12, 9870, 32, 8, 369, 856, 2162, 5274, 13, 358, 1550, 539, 11196, 922, 28015, 477, 24494, 856, 63891, 26129, 1606, 12688, 574, 3221, 13, 23212, 11, 358, 6773, 311, 1296, 279, 5178, 315, 279, 45339, 1752, 13726, 6859, 304, 856, 2162, 5274, 1603, 30230, 389, 264, 28015, 323, 24494, 1887, 369, 856, 26129, 13, 36202, 358, 574, 82374, 14792, 449, 279, 5178, 315, 279, 32558, 13726, 6859, 304, 856, 2162, 5274, 323, 6773, 311, 7782, 279, 1890, 5089, 369, 856, 26129, 13, 358, 9687, 1268, 311, 4685, 264, 13726, 6859, 2391, 279, 1176, 14028, 11, 779, 358, 6773, 311, 1304, 264, 2835, 323, 2246, 856, 2132, 13726, 6859, 14028, 627, 10445, 420, 20217, 28910, 198, 40, 14896, 279, 4491, 24882, 32558, 13726, 6859, 320, 2590, 32558, 12, 972, 12, 6748, 12, 9870, 32, 8, 1606, 315, 32558, 14028, 11, 3430, 11, 4519, 11, 323, 1404, 627, 12555, 24882, 32558, 13726, 41567, 527, 32558, 8316, 439, 279, 836, 24897, 13, 578, 30477, 519, 5238, 527, 864, 11843, 93349, 449, 432, 14487, 32, 30477, 519, 11, 902, 60944, 279, 1205, 369, 264, 6721, 14028, 13, 578, 4491, 24882, 13726, 6859, 4685, 1920, 374, 31439, 369, 459, 29539, 311, 11084, 32558, 529, 261, 1389, 1817, 704, 856, 2835, 13, 358, 9687, 1268, 311, 4685, 264, 13726, 6859, 449, 8844, 4228, 555, 2768, 279, 11470, 3984, 449, 279, 5089, 627, 791, 2860, 3430, 369, 279, 4491, 24882, 32558, 20217, 28910, 574, 400, 16, 11, 21675, 13, 410, 5636, 400, 1135, 13, 410, 369, 279, 7147, 6606, 32742, 13, 578, 2860, 3430, 574, 400, 3965, 22, 13, 410, 1603, 3827, 627, 40, 4036, 5361, 17637, 505, 66433, 15749, 389, 27730, 264, 4528, 5089, 311, 279, 4491, 24882, 32558, 12, 972, 12, 6748, 12, 9870, 32, 323, 279, 7729, 41829, 505, 220, 17, 13, 20, 311, 220, 18, 3115, 810, 1109, 279, 4491, 24882, 32558, 13726, 6859, 13, 2684, 527, 7995, 1690, 8125, 323, 22934, 311, 24009, 459, 66433, 6721, 311, 4685, 264, 13726, 6859, 477, 21349, 1887, 13, 1115, 574, 856, 26129, 323, 2162, 5274, 26, 9093, 11, 358, 6773, 433, 574, 5922, 279, 5326, 311, 3780, 279, 32558, 13726, 6859, 5089, 323, 4685, 433, 7182, 13, 1442, 358, 1051, 17011, 449, 279, 1890, 5597, 369, 856, 2162, 11, 358, 4762, 1053, 617, 12146, 311, 18467, 459, 66433, 6721, 13, 1050, 631, 481, 66433, 15749, 15803, 872, 14028, 11, 1862, 14290, 61913, 11, 323, 3493, 2532, 20038, 627, 55313, 328, 40133, 19579, 8776, 8792, 66433, 6067, 527, 7953, 279, 7036, 315, 420, 4652, 13, 1442, 499, 527, 17011, 449, 420, 5597, 11, 358, 15253, 499, 3495, 1521, 13650, 323, 10491, 1148, 374, 1888, 369, 701, 6671, 323, 4676, 627, 12555, 24882, 32558, 20289, 198, 791, 4519, 315, 279, 4491, 24882, 32558, 13726, 6859, 7396, 856, 3966, 1524, 3582, 433, 1253, 539, 617, 279, 4519, 315, 810, 11646, 16097, 13, 21883, 527, 279, 4519, 358, 1093, 1455, 512, 86174, 8798, 14155, 323, 10807, 5089, 627, 697, 1658, 7420, 519, 81373, 18468, 1887, 26420, 279, 1887, 27149, 30820, 2085, 53568, 4245, 311, 56488, 627, 96651, 13253, 6276, 433, 311, 387, 8599, 311, 279, 8191, 323, 14400, 39529, 4669, 459, 917, 1196, 44290, 512, 22, 1060, 59977, 323, 220, 20, 1060, 5596, 95343, 51623, 512, 3226, 67, 7209, 12395, 10959, 627, 43, 15170, 12661, 14171, 323, 4593, 24992, 23099, 627, 12555, 24882, 32558, 20217, 28910, 8645, 198, 3947, 527, 2204, 4491, 24882, 32558, 13726, 6859, 1404, 4211, 369, 2204, 1404, 5789, 13, 578, 4491, 24882, 32558, 13726, 6859, 1646, 358, 15075, 323, 10487, 14861, 220, 16217, 9518, 7693, 13, 358, 574, 11920, 449, 279, 220, 972, 39615, 1579, 56814, 304, 856, 26129, 11, 779, 358, 15075, 420, 5089, 902, 14861, 810, 9518, 7693, 1109, 856, 26129, 13, 3092, 26129, 374, 13489, 220, 5067, 9518, 7693, 627, 4438, 311, 19796, 264, 20217, 28910, 35907, 198, 40, 3358, 279, 1925, 7504, 358, 10887, 311, 4685, 279, 4491, 24882, 32558, 13726, 6859, 13, 4314, 7504, 3493, 264, 1695, 24131, 315, 279, 1920, 13, 1115, 1920, 374, 539, 8967, 311, 8454, 279, 17032, 11470, 26, 4856, 11, 433, 374, 264, 69051, 12576, 13, 2893, 2771, 311, 1817, 704, 856, 2835, 369, 810, 5217, 7872, 627, 8468, 220, 16, 25, 14173, 323, 1252, 90274, 198, 16992, 358, 1511, 304, 420, 2447, 512, 40, 11713, 279, 4491, 24882, 32558, 13726, 6859, 2930, 323, 433, 11721, 304, 220, 17, 15039, 25, 279, 4994, 9955, 60544, 5089, 323, 279, 4871, 5089, 13, 11995, 15039, 1051, 47237, 1633, 1664, 13, 358, 62884, 1855, 961, 369, 5674, 1633, 15884, 13, 578, 30477, 519, 38600, 374, 8599, 311, 279, 4871, 5089, 323, 20037, 449, 264, 12466, 41394, 323, 18623, 40809, 627, 8468, 220, 17, 25, 1666, 16167, 9935, 86597, 198, 8468, 220, 18, 25, 10640, 28468, 8113, 198, 40, 1511, 279, 9501, 32742, 323, 55043, 3896, 311, 6606, 279, 4871, 5089, 627, 10438, 39547, 11, 358, 12673, 279, 24659, 38600, 323, 10273, 369, 904, 7902, 555, 4401, 3090, 1555, 433, 627, 40, 14896, 311, 6606, 279, 4871, 5089, 520, 279, 1203, 7147, 315, 856, 26129, 3770, 279, 62862, 13, 9636, 4725, 13463, 11, 279, 4871, 5089, 374, 22563, 6089, 311, 264, 7147, 11, 719, 279, 1203, 7147, 304, 856, 8221, 374, 539, 10728, 369, 3805, 6530, 13, 578, 1203, 7147, 3984, 17125, 2680, 311, 279, 1203, 315, 856, 26129, 323, 279, 20314, 49341, 3830, 13, 358, 20968, 264, 23162, 1862, 4124, 430, 18545, 279, 55043, 7147, 3896, 323, 52123, 22563, 433, 311, 279, 96321, 315, 279, 62862, 627, 5971, 11, 358, 14297, 30280, 279, 30477, 519, 5238, 311, 2489, 279, 3813, 1405, 358, 13205, 311, 31646, 279, 4974, 14512, 1389, 7833, 1203, 13, 578, 30477, 519, 5238, 649, 4974, 279, 5089, 311, 279, 1314, 11, 2163, 11, 477, 6089, 1203, 320, 2309, 374, 2163, 4390, 5971, 11, 358, 25078, 279, 12466, 326, 9296, 13, 578, 12466, 326, 9296, 1051, 539, 11102, 477, 20727, 627, 40, 30831, 279, 5089, 323, 743, 433, 389, 279, 9501, 32742, 627, 8468, 220, 19, 25, 77974, 52029, 612, 9767, 75258, 519, 13484, 198, 40, 68865, 279, 220, 18, 13, 20, 22308, 14512, 449, 264, 14512, 5602, 2766, 323, 220, 18, 14, 23, 22308, 802, 9552, 520, 264, 45578, 9392, 369, 6300, 58592, 627, 5971, 11, 358, 10487, 279, 4883, 12466, 37253, 1139, 279, 14512, 627, 40, 23114, 279, 30477, 519, 77579, 1555, 279, 14512, 13, 358, 7108, 279, 29219, 28979, 15411, 1306, 279, 77579, 574, 1555, 279, 7147, 627, 5971, 11, 358, 22563, 220, 17, 19833, 13260, 30777, 311, 279, 5740, 315, 279, 62862, 779, 279, 13961, 13190, 1436, 2800, 304, 1124, 323, 2567, 1124, 7833, 13, 358, 2231, 279, 24659, 38600, 1555, 279, 14512, 3770, 279, 30477, 519, 13961, 13190, 627, 3947, 574, 264, 11259, 6710, 311, 279, 12466, 13961, 11, 719, 358, 3287, 1431, 1005, 433, 13, 358, 3197, 311, 1977, 264, 3830, 311, 10477, 279, 30477, 519, 13961, 520, 264, 3010, 2457, 11, 779, 358, 6773, 311, 1005, 23749, 32183, 311, 26418, 279, 14512, 627, 8468, 220, 20, 25, 10640, 42251, 8113, 198, 791, 4994, 7147, 32742, 369, 279, 9955, 60544, 5089, 574, 4228, 311, 6606, 13, 358, 1903, 2771, 279, 5425, 1862, 6710, 574, 2237, 323, 27528, 433, 311, 279, 7147, 449, 46022, 13, 9479, 11, 358, 61014, 279, 220, 17, 1862, 11977, 389, 279, 5425, 1862, 6710, 627, 5971, 11, 358, 61014, 279, 220, 17, 1862, 11977, 389, 279, 5425, 1862, 6710, 627, 40, 6755, 264, 86424, 5222, 2212, 856, 39771, 1418, 34739, 279, 32742, 13, 358, 14000, 264, 574, 79, 23634, 922, 220, 21, 15271, 3201, 505, 856, 2531, 13, 63554, 11, 358, 3287, 1431, 636, 357, 2234, 555, 832, 315, 1124, 4999, 791, 4994, 9955, 60544, 5089, 50542, 220, 1490, 16701, 13, 1102, 753, 539, 1633, 8987, 11, 719, 433, 374, 8659, 29859, 13, 358, 9277, 279, 5089, 389, 279, 1862, 11977, 323, 1903, 2771, 279, 23506, 7693, 323, 49939, 1051, 27210, 12722, 13, 9479, 11, 358, 85820, 1124, 449, 264, 60588, 323, 7728, 627, 40, 1511, 856, 24924, 358, 15502, 309, 2237, 311, 1304, 2771, 279, 1948, 315, 279, 5089, 574, 14268, 2237, 627, 8468, 220, 21, 25, 13313, 75258, 519, 39333, 612, 45034, 198, 5971, 11, 358, 20037, 279, 13937, 30477, 519, 77579, 2212, 279, 4994, 315, 279, 32742, 304, 7029, 11, 20784, 30853, 13, 358, 7108, 279, 1948, 12466, 2107, 311, 29241, 279, 20314, 6956, 323, 279, 5740, 3090, 35788, 311, 29241, 279, 30477, 519, 77579, 627, 6153, 18054, 279, 12466, 57877, 389, 1948, 315, 279, 1579, 323, 3428, 3185, 11, 358, 7214, 12673, 279, 30477, 519, 77579, 627, 40, 27210, 279, 30477, 519, 32275, 323, 1903, 2771, 814, 1051, 539, 32647, 13, 4740, 358, 85820, 1855, 22733, 28087, 555, 1450, 11, 358, 85820, 279, 5740, 22733, 28087, 323, 1243, 279, 1948, 4184, 311, 279, 11470, 627, 791, 11470, 527, 1633, 3230, 11, 779, 358, 1903, 2771, 311, 1373, 1124, 15884, 13, 578, 4020, 81402, 990, 449, 53728, 25562, 11, 779, 814, 1253, 24237, 422, 279, 32275, 527, 46050, 6901, 323, 312, 15647, 13, 358, 7108, 279, 3504, 389, 279, 1948, 32530, 323, 9107, 279, 32530, 449, 264, 220, 777, 3906, 12651, 60588, 1797, 3035, 1039, 4583, 13, 358, 11763, 420, 1920, 389, 279, 5740, 32530, 627, 5971, 11, 358, 10273, 369, 37796, 449, 264, 23749, 16893, 430, 13282, 39493, 27883, 323, 3090, 627, 5971, 11, 358, 8599, 279, 20314, 14994, 505, 279, 4871, 5089, 311, 279, 4994, 5089, 13, 358, 1903, 279, 20314, 13537, 11, 12673, 279, 3090, 3830, 323, 20314, 3830, 11, 323, 2231, 13961, 14028, 2212, 279, 30477, 519, 32275, 627, 40, 4344, 539, 2737, 279, 20314, 961, 315, 279, 14028, 1920, 1606, 358, 4344, 5042, 539, 15337, 311, 3493, 420, 9650, 311, 499, 13, 358, 15253, 499, 311, 1650, 264, 6721, 9249, 1122, 311, 2804, 420, 990, 1606, 433, 374, 539, 5922, 279, 5326, 627, 8468, 220, 22, 25, 19796, 21400, 10640, 11, 46112, 11, 612, 34407, 29907, 198, 5971, 11, 358, 10487, 279, 8870, 2585, 1589, 72455, 323, 279, 27360, 13, 358, 10487, 279, 8870, 2585, 1589, 72455, 3221, 279, 6134, 311, 856, 26129, 627, 40, 45519, 709, 856, 36865, 323, 10487, 279, 3805, 13711, 627, 791, 11602, 34407, 13253, 574, 4228, 311, 4685, 439, 1664, 13, 578, 2700, 374, 7559, 389, 279, 96321, 315, 279, 6134, 627, 8468, 220, 23, 25, 19139, 34407, 323, 1883, 198, 12805, 358, 8599, 311, 279, 18679, 926, 315, 279, 5089, 11, 358, 9107, 709, 279, 4491, 13, 24882, 917, 323, 20336, 279, 5089, 13, 578, 917, 3250, 1431, 617, 279, 1890, 4519, 439, 279, 8870, 2585, 11, 719, 433, 374, 2103, 1633, 5505, 13, 358, 617, 220, 17, 8316, 323, 358, 14896, 279, 26129, 5089, 627, 40, 649, 2349, 20362, 505, 7155, 11, 311, 9235, 11, 311, 8798, 11, 311, 3313, 323, 1203, 311, 7155, 555, 26422, 279, 3941, 3215, 627, 40, 6656, 279, 5089, 1022, 555, 20129 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2181, 753, 1027, 264, 11292, 17219, 311, 2324, 1203, 304, 279, 19134, 369, 84697, 4409, 11, 323, 433, 5084, 264, 2478, 4311, 617, 3686, 2586, 311, 3878, 449, 279, 502, 8815, 1457, 13176, 1124, 13, 393, 1751, 388, 40281, 12076, 33, 9503, 1971, 1111, 706, 22359, 872, 9045, 779, 3117, 90578, 33731, 2030, 1974, 25, 578, 9635, 893, 2011, 617, 31156, 1148, 568, 574, 2103, 3815, 1618, 11, 323, 813, 18174, 7111, 743, 311, 3136, 449, 264, 1268, 1565, 520, 52629, 389, 279, 8736, 1938, 13, 1283, 753, 26403, 1664, 2533, 11, 4869, 11, 323, 374, 7314, 311, 1427, 810, 1093, 813, 2362, 659, 13, 1283, 374, 279, 2944, 430, 3585, 1051, 28158, 3359, 2403, 47431, 8350, 323, 63325, 13, 362, 3280, 704, 315, 279, 37973, 1436, 387, 7041, 1148, 568, 3966, 13, 19767, 220, 22, 198, 38675, 21780, 3457, 25, 1283, 1047, 2697, 311, 656, 304, 813, 47766, 65281, 304, 279, 3341, 370, 3524, 11098, 11, 719, 10887, 4634, 4501, 3403, 13, 19767, 220, 21, 198, 42778, 11289, 79701, 25, 578, 58069, 753, 4498, 505, 21507, 706, 1027, 279, 10988, 315, 84697, 753, 3280, 779, 3117, 13, 3861, 315, 279, 2478, 311, 34044, 505, 279, 5542, 36850, 430, 574, 1566, 3280, 304, 6807, 320, 438, 44937, 449, 264, 502, 1317, 9860, 3568, 311, 10677, 705, 568, 1457, 14035, 5678, 20558, 311, 1304, 279, 2489, 1316, 19037, 13, 578, 8125, 4920, 813, 61087, 311, 279, 54043, 3094, 1253, 2646, 387, 7373, 36489, 11, 719, 813, 4216, 31300, 1501, 826, 1051, 2073, 34229, 2915, 1207, 58098, 11, 79701, 2361, 750, 682, 520, 9581, 6957, 279, 52629, 323, 47431, 8350, 3953, 13, 578, 38141, 8625, 568, 374, 5042, 2288, 23664, 264, 2539, 15825, 369, 279, 6783, 753, 15692, 36263, 13, 19767, 220, 19, 198, 25763, 37863, 25, 5414, 10015, 27255, 574, 279, 4851, 6147, 15310, 2922, 5859, 311, 279, 9624, 315, 79701, 753, 16907, 4498, 11, 719, 279, 32639, 706, 1766, 279, 19134, 5107, 779, 3117, 13, 1252, 75, 10279, 311, 81660, 264, 16750, 520, 18682, 35283, 11, 719, 568, 574, 3629, 34438, 1971, 520, 279, 1203, 1772, 11, 323, 1047, 459, 43251, 11714, 2403, 468, 11118, 2288, 13, 362, 11941, 3351, 1053, 617, 1027, 315, 24779, 8935, 13, 19767, 220, 20, 198, 45919, 1030, 8290, 2259, 25, 362, 13051, 1389, 323, 36659, 26225, 1389, 19163, 13, 84697, 753, 1176, 3596, 13182, 15459, 6625, 706, 14333, 264, 6573, 1212, 311, 2324, 304, 4015, 19, 13, 1283, 374, 20781, 264, 60390, 1291, 2539, 15825, 11, 719, 50326, 4367, 389, 279, 5041, 323, 649, 6493, 264, 7060, 5425, 2288, 13, 19767, 220, 21, 198, 36, 21042, 21286, 2481, 25, 426, 30582, 398, 11, 279, 24113, 6625, 374, 84697, 753, 10496, 8338, 64769, 8617, 3117, 11, 27104, 315, 1403, 11112, 51010, 10194, 9045, 13, 4452, 11, 279, 16385, 323, 14432, 16399, 6392, 706, 539, 8208, 779, 1664, 13, 362, 75649, 2915, 7621, 2723, 304, 264, 8965, 34520, 88, 1203, 1584, 11, 31322, 7411, 1457, 40076, 2218, 279, 84697, 2163, 15825, 11, 323, 12387, 9021, 617, 1047, 872, 33472, 505, 813, 3185, 315, 279, 9846, 13, 3011, 568, 374, 14132, 13365, 3102, 481, 1418, 79701, 374, 1615, 1571, 311, 264, 10536, 9274, 449, 279, 6980, 374, 11679, 7922, 13, 19767, 220, 19, 198, 49546, 36285, 29942, 25, 31781, 311, 3821, 13, 37558, 11105, 279, 2840, 2490, 315, 279, 3347, 13515, 810, 1109, 279, 24862, 11, 323, 568, 9731, 311, 3041, 1475, 54808, 315, 8333, 369, 279, 5353, 11, 719, 813, 13736, 527, 289, 44159, 13, 1283, 706, 7111, 264, 1695, 20085, 1022, 279, 18338, 304, 3463, 323, 56408, 420, 3280, 11, 323, 813, 57314, 29600, 5101, 311, 617, 83410, 1461, 13, 1102, 2643, 387, 892, 369, 1461, 311, 387, 2728, 264, 2800, 505, 279, 6041, 1584, 5352, 13, 19767, 220, 19, 198, 53856, 3258, 13926, 25, 435, 7596, 430, 279, 220, 1644, 4771, 6418, 46881, 24862, 574, 927, 279, 24898, 9508, 311, 617, 1027, 682, 43995, 555, 22514, 11, 24306, 19207, 2403, 47431, 8350, 323, 63325, 11, 719, 1243, 3782, 813, 91140, 2403, 468, 11118, 13, 921, 4522, 35612, 682, 11714, 11, 813, 4401, 8209, 449, 279, 23944, 3686, 85077, 15341, 44109, 779, 49804, 1461, 430, 568, 9922, 311, 387, 22815, 4560, 311, 636, 5678, 3288, 1022, 1389, 264, 9131, 568, 27332, 449, 4856, 810, 14553, 1109, 904, 5150, 29269, 389, 279, 3814, 13, 96371, 2103, 704, 13, 19767, 220, 20, 198, 95330, 78, 90799, 113744, 25, 44842, 2915, 279, 1888, 315, 84697, 753, 8792, 41131, 11, 8051, 430, 2216, 4536, 1431, 5605, 1790, 13, 1283, 706, 264, 15326, 2543, 315, 18338, 323, 12716, 279, 5041, 4741, 439, 1664, 439, 499, 7070, 1755, 315, 264, 24113, 6625, 29315, 11, 323, 279, 18912, 315, 813, 57911, 323, 73557, 374, 6118, 89646, 13, 4452, 11, 568, 374, 1101, 38097, 311, 51055, 288, 315, 20545, 430, 649, 12391, 34348, 11, 323, 994, 568, 753, 3958, 11, 568, 753, 1633, 11, 1633, 3958, 13118, 13, 35053, 11, 422, 5052, 11, 568, 706, 311, 1212, 13, 19767, 220, 21, 198, 41444, 20661, 25, 578, 23782, 6917, 753, 5597, 311, 5869, 264, 502, 3568, 9922, 520, 279, 892, 311, 387, 279, 3254, 1455, 3062, 16351, 315, 84697, 753, 7474, 13, 578, 1054, 84616, 939, 39593, 385, 9520, 433, 574, 19655, 11, 1053, 41836, 279, 19134, 13, 12361, 11, 20661, 706, 1027, 832, 315, 279, 8706, 5435, 13, 5414, 12047, 5679, 11843, 4522, 7561, 84225, 32435, 61555, 617, 539, 1027, 312, 1571, 304, 11, 323, 420, 3541, 365, 8597, 287, 11, 9160, 4047, 287, 79397, 389, 4401, 28578, 568, 7245, 2315, 706, 1027, 8530, 279, 7928, 6044, 37245, 8331, 311, 279, 2128, 753, 6996, 315, 6211, 13, 2684, 374, 264, 7982, 8430, 430, 84697, 753, 31005, 11, 1455, 24770, 3185, 1587, 539, 617, 1461, 304, 433, 13, 19767, 25, 220, 20, 198, 37659, 469, 668, 754, 25, 2468, 1317, 1566, 11, 1063, 1695, 3754, 13, 2684, 1051, 10742, 994, 568, 7111, 5675, 389, 813, 17755, 323, 574, 87552, 311, 279, 13731, 11, 449, 24765, 11035, 7211, 33264, 279, 55433, 753, 27129, 304, 43468, 311, 279, 6498, 1847, 13, 14968, 3596, 2533, 594, 30463, 4628, 2403, 58486, 11, 469, 668, 754, 706, 1027, 9250, 11, 1475, 17560, 279, 2851, 889, 779, 25408, 2391, 279, 4435, 11098, 13, 1283, 706, 18381, 315, 4907, 11, 813, 12579, 374, 17676, 323, 6928, 323, 568, 706, 1027, 520, 279, 4851, 315, 4395, 1695, 84697, 617, 9124, 2533, 813, 76267, 17158, 13, 578, 1176, 836, 389, 279, 2128, 11071, 11, 323, 264, 9024, 3243, 369, 279, 23317, 13305, 13, 19767, 220, 23, 198, 17519, 283, 452, 8747, 61055, 25, 362, 64935, 13, 12268, 291, 304, 459, 27224, 11559, 1469, 589, 5411, 5178, 520, 13852, 438, 9728, 1603, 5616, 1940, 360, 10789, 1203, 311, 10845, 19907, 277, 352, 13, 38994, 568, 2834, 1431, 387, 1203, 13, 19767, 220, 17, 198, 53773, 1466, 69168, 25, 2684, 574, 1063, 369, 75, 1540, 3987, 430, 69168, 2643, 2103, 617, 2555, 311, 3085, 520, 19134, 2237, 11, 719, 433, 374, 9539, 927, 13, 5414, 2531, 617, 1664, 323, 9615, 8208, 11, 10791, 304, 19243, 389, 279, 5041, 323, 30547, 1022, 433, 13, 578, 59560, 74983, 430, 2322, 813, 50068, 2403, 468, 11118, 1051, 1612, 561, 52221, 11, 323, 433, 753, 1778, 264, 21648, 311, 1518, 264, 3131, 1474, 492, 88, 2851, 779, 54182, 13, 1102, 753, 22225, 892, 311, 3060, 6068, 1523, 264, 2237, 4726, 477, 37098, 813, 24779, 3217, 1139, 264, 24826, 7076, 13, 19767, 220, 19, 198, 73728, 15387, 25, 31886, 279, 1167, 2925, 1908, 19973, 7403, 430, 374, 279, 4343, 266, 50176, 56204, 11, 813, 9846, 892, 706, 1027, 16888, 5092, 398, 7347, 311, 5471, 1461, 505, 3815, 904, 1972, 5674, 13, 19767, 452, 10576, 198, 49546, 35848, 25, 3639, 43890, 11035, 7211, 311, 19678, 264, 16399, 45067, 369, 264, 45041, 520, 279, 86883, 44129, 449, 84697, 264, 5915, 1523, 374, 7953, 420, 7061, 11, 719, 430, 96018, 31217, 2692, 2349, 374, 912, 22599, 389, 35848, 13, 578, 4846, 47431, 8350, 893, 753, 95156, 574, 832, 315, 279, 2478, 10107, 19300, 315, 2500, 50739, 13658, 13, 19767, 452, 10576, 198, 29184, 14583, 2742, 25, 84697, 753, 1455, 20733, 16351, 315, 279, 7474, 56224, 264, 5107, 1212, 1306, 264, 50787, 315, 1234, 94179, 19207, 11, 719, 374, 7314, 311, 2543, 2574, 2212, 13, 578, 2851, 584, 5602, 2403, 58486, 574, 1633, 1790, 279, 832, 584, 3463, 584, 1051, 3794, 1389, 4062, 11, 28387, 1752, 323, 2167, 13, 5414, 12410, 7982, 11, 568, 574, 832, 315, 279, 1888, 45518, 2403, 473, 8512, 388, 2630, 323, 2362, 6469, 4410, 65698, 13, 88635, 922, 279, 11134, 568, 706, 1457, 13061, 709, 11, 719, 1253, 3686, 3243, 927, 813, 7810, 5153, 13, 19767, 220, 21, 198, 9241, 690, 84697, 4409, 6381, 279, 220, 679, 23, 14, 777, 19134, 3280, 5380, 4364, 410, 10, 650, 45005, 5745, 57415, 198, 25763, 763, 346, 25, 362, 28799, 11, 503, 16113, 9546, 389, 279, 1314, 11, 763, 346, 2736, 5992, 1093, 264, 1401, 62666, 11, 323, 568, 706, 1027, 13942, 2391, 813, 11134, 21430, 25229, 19821, 13, 578, 94162, 288, 568, 753, 6982, 4284, 1790, 315, 279, 2128, 753, 28697, 690, 6904, 389, 1461, 13, 2684, 753, 264, 2763, 810, 311, 2586, 505, 578, 4673, 29238, 269, 753, 4538, 13, 19767, 220, 22, 198, 25584, 1609, 13203, 15784, 25, 362, 22999, 832, 13, 13203, 15784, 1288, 617, 1027, 264, 649, 1431, 1474, 1056, 16351, 11, 323, 433, 753, 2653, 311, 934, 83518, 449, 1403, 9021, 304, 2380, 8638, 13, 3011, 568, 706, 2533, 1027, 6445, 311, 279, 13731, 11, 4869, 11, 13533, 2555, 374, 1097, 1056, 13, 578, 5043, 11, 8147, 8919, 287, 18302, 10827, 45041, 315, 64579, 323, 426, 98079, 706, 3686, 311, 387, 3970, 11, 304, 813, 2035, 264, 88046, 323, 4998, 3454, 87940, 889, 12775, 1431, 20162, 1790, 311, 279, 2128, 753, 1514, 7953, 1884, 9021, 13, 4610, 54213, 1389, 8104, 1884, 3685, 311, 1514, 389, 872, 1866, 709, 4156, 1389, 1205, 1521, 2919, 311, 617, 810, 9246, 311, 872, 15631, 1109, 3273, 12092, 62921, 7636, 11, 323, 13203, 15784, 374, 3686, 311, 20461, 1884, 7526, 13, 19767, 220, 20, 198, 50, 3864, 78, 9084, 1494, 3394, 25, 578, 1455, 24729, 13051, 315, 279, 3280, 779, 3117, 13, 1102, 9508, 28093, 346, 43672, 430, 279, 12649, 56998, 40260, 45041, 1047, 904, 3938, 520, 279, 6469, 11, 23442, 89248, 315, 88979, 4819, 1022, 279, 2115, 323, 24670, 52221, 24601, 389, 433, 13, 14968, 3318, 449, 16768, 37514, 8111, 311, 617, 79955, 4147, 9084, 1494, 3394, 13, 47169, 74228, 439, 264, 1396, 220, 605, 11, 813, 7351, 706, 1027, 25530, 11, 813, 2723, 1514, 29585, 323, 7941, 11, 323, 568, 374, 3131, 1578, 3794, 1139, 11660, 10093, 13, 20636, 5616, 6445, 1022, 279, 2606, 11046, 315, 264, 1403, 4771, 5915, 1752, 1629, 11, 2643, 584, 5616, 1518, 1461, 64201, 813, 24779, 4754, 30, 19767, 220, 22, 198, 37659, 356, 76027, 25, 5031, 1771, 264, 15062, 1054, 21119, 426, 9520, 439, 813, 6273, 12329, 520, 63325, 8710, 11, 719, 279, 3596, 12970, 481, 2466, 893, 2216, 1288, 539, 387, 6041, 3953, 520, 7154, 220, 1987, 1667, 315, 4325, 13, 578, 79306, 529, 32169, 649, 1431, 387, 3117, 3201, 13, 19767, 220, 20, 198, 44, 373, 7923, 283, 69, 25, 95809, 439, 3596, 13, 19439, 439, 3596, 13, 26823, 2362, 7923, 283, 31695, 13, 5414, 67965, 788, 61808, 389, 279, 1314, 20611, 520, 58486, 574, 44937, 449, 264, 1664, 2442, 3448, 5915, 11, 719, 568, 690, 22225, 1304, 1648, 3131, 763, 346, 4780, 311, 17479, 13, 5414, 18338, 11, 60112, 323, 990, 65947, 1304, 1461, 264, 5505, 19037, 3072, 11, 719, 568, 37856, 279, 4367, 311, 387, 810, 1109, 430, 13, 19767, 220, 20, 198, 1255, 23685, 25, 2684, 753, 2555, 10284, 65623, 922, 9298, 2577, 23685, 11, 76745, 315, 5034, 20459, 689, 11, 97500, 2785, 45713, 304, 279, 19134, 13, 11035, 7211, 8111, 26118, 9799, 2041, 11, 1701, 1461, 10213, 439, 459, 5536, 1207, 304, 264, 7029, 3560, 311, 902, 568, 753, 7120, 84, 1639, 13, 1789, 682, 430, 2577, 23685, 649, 387, 22939, 520, 3115, 11, 279, 94162, 288, 315, 1461, 584, 4070, 3970, 617, 1234, 15472, 813, 8824, 311, 1505, 30278, 315, 3634, 323, 1304, 41131, 15612, 311, 813, 26306, 13, 763, 264, 19037, 24670, 74092, 2875, 389, 4367, 11, 279, 75165, 7643, 55656, 5042, 706, 311, 4668, 810, 15870, 13, 19767, 220, 21, 198 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 11787, 220, 2636, 15, 73693, 27191, 19960, 53617, 48965, 27191, 482, 14270, 30742, 198, 7009, 649, 5376, 6680, 6530, 311, 279, 23806, 323, 1101, 1520, 499, 8108, 279, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 5137, 315, 279, 23806, 11, 719, 1306, 279, 1176, 2478, 3115, 11, 499, 2011, 387, 3025, 311, 636, 279, 11493, 23806, 627, 8538, 315, 279, 17032, 889, 1051, 539, 11297, 11, 719, 433, 596, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 539, 1120, 264, 2478, 315, 279, 1695, 2574, 315, 279, 3157, 627, 4071, 304, 420, 1162, 11, 420, 374, 264, 8762, 27886, 22822, 430, 374, 2561, 304, 279, 3157, 627, 8538, 4756, 389, 279, 3044, 11, 279, 8857, 315, 701, 23806, 374, 11754, 23806, 1404, 627, 2028, 19960, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 26041, 374, 832, 315, 279, 1888, 23806, 66507, 26153, 311, 5376, 701, 1877, 6678, 11, 719, 1690, 1274, 649, 1101, 5406, 872, 3185, 6372, 627, 2746, 499, 2351, 3411, 369, 279, 1404, 315, 701, 65146, 11, 499, 649, 1755, 279, 1455, 5526, 23806, 27886, 26153, 627, 53980, 89111, 299, 4338, 18029, 82, 369, 3026, 430, 990, 304, 72003, 11, 323, 1101, 6532, 304, 3026, 449, 57217, 32403, 4819, 627, 2028, 3756, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 3727, 1005, 315, 279, 14155, 430, 1520, 499, 38416, 2718, 4774, 5129, 65146, 627, 11458, 11, 279, 2883, 8349, 311, 7417, 279, 659, 50457, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 323, 8333, 11, 323, 2768, 279, 1890, 4860, 627, 37521, 27886, 26153, 527, 264, 8147, 8762, 27886, 33690, 323, 95643, 3956, 311, 7417, 701, 6680, 7410, 11, 323, 2585, 11, 3339, 1124, 810, 4228, 311, 25024, 627, 8607, 315, 1521, 26153, 2011, 387, 3118, 311, 990, 449, 701, 4907, 1587, 4401, 5376, 23806, 1404, 5990, 304, 279, 14150, 11, 499, 649, 1456, 279, 2027, 627, 2746, 499, 1390, 311, 2804, 369, 264, 659, 65906, 11, 1243, 499, 649, 1304, 433, 1790, 810, 11646, 323, 499, 649, 8895, 701, 1344, 4575, 307, 1404, 627, 4599, 499, 1212, 1701, 433, 374, 264, 2294, 1648, 311, 1972, 2644, 15105, 11, 499, 690, 617, 264, 2766, 315, 3300, 627, 12840, 1608, 26153, 1541, 956, 5353, 1203, 264, 8696, 11, 719, 1455, 315, 872, 1866, 2574, 11, 279, 836, 1047, 11322, 279, 6725, 627, 1271, 656, 420, 11, 499, 649, 15641, 264, 1396, 315, 2204, 5528, 315, 279, 6514, 11, 584, 2351, 539, 1047, 264, 14470, 17049, 1920, 627, 8747, 45938, 19646, 2259, 18885, 57217, 32403, 15530, 449, 264, 2697, 3392, 315, 43226, 22822, 430, 36050, 5869, 458, 8624, 11, 12992, 279, 6680, 6530, 315, 6680, 311, 279, 23806, 627, 2017, 10826, 64289, 11217, 311, 1520, 1566, 5129, 304, 4950, 46192, 311, 7417, 3026, 596, 1877, 6678, 11, 323, 7392, 5178, 369, 459, 23669, 65146, 627, 2520, 3187, 11, 499, 7846, 956, 1935, 264, 3412, 6666, 374, 1606, 433, 374, 15062, 311, 7417, 701, 8762, 19428, 7392, 50540, 627, 96420, 430, 1520, 1566, 5129, 304, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 4950, 369, 264, 8762, 27886, 26153, 311, 7417, 94482, 323, 7392, 5178, 627, 44687, 27886, 6378, 1486, 2468, 279, 6134, 3966, 311, 636, 311, 2539, 3430, 11, 584, 3770, 279, 2027, 374, 2561, 2930, 627, 2181, 596, 832, 315, 279, 1888, 8762, 27886, 33690, 430, 527, 2561, 304, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 220, 605, 14060, 315, 400, 845, 11, 931, 627, 36, 2921, 458, 32403, 374, 264, 12309, 6220, 1376, 315, 279, 8762, 1877, 2324, 369, 3026, 889, 1051, 1047, 3403, 311, 617, 264, 16643, 65146, 627, 8538, 315, 279, 1455, 4279, 3185, 6372, 315, 420, 2027, 527, 6220, 323, 649, 387, 2216, 6051, 1511, 311, 5376, 701, 23806, 1404, 627, 2675, 649, 8108, 701, 65146, 311, 11322, 279, 11376, 315, 701, 23806, 11, 4869, 11, 499, 690, 2733, 48774, 555, 701, 8427, 627, 37196, 3376, 483, 482, 1102, 596, 832, 315, 15419, 369, 220, 1399, 1667, 315, 279, 1455, 7524, 11, 902, 374, 264, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 2294, 5873, 311, 387, 3025, 311, 18885, 7392, 5178, 323, 7392, 61784, 304, 3026, 627, 70, 1031, 8954, 7392, 27886, 15530, 369, 3026, 311, 8666, 449, 14270, 30742, 872, 4033, 3997, 627, 4919, 3318, 704, 1520, 499, 1566, 5129, 304, 4950, 323, 279, 5129, 892, 499, 649, 387, 3025, 311, 1212, 627, 29305, 285, 66507, 26153, 527, 10728, 311, 8417, 11, 323, 1101, 279, 1455, 7524, 1648, 311, 11322, 11493, 23806, 627, 11458, 11, 499, 690, 387, 264, 1148, 374, 279, 1888, 927, 10826, 64289, 15530, 369, 1608, 1695, 4623, 61784, 3880, 87, 26153, 18445, 369, 499, 311, 3780, 279, 3754, 11, 323, 279, 1193, 39738, 352, 1972, 5706, 627, 20397, 279, 1455, 5526, 8762, 27886, 15530, 11, 499, 649, 636, 264, 3300, 15825, 15803, 68, 430, 499, 649, 1212, 449, 264, 2478, 2919, 315, 279, 2027, 627, 1687, 1766, 430, 279, 14293, 1778, 439, 650, 3557, 321, 5727, 264, 3361, 25795, 430, 5727, 49601, 11, 46192, 323, 34072, 11, 323, 46192, 323, 34072, 627, 4516, 11, 433, 596, 2744, 279, 14580, 15150, 1511, 311, 4322, 57217, 32403, 449, 220, 11711, 12, 966, 14060, 315, 220, 21251, 2919, 315, 279, 22822, 627, 456, 48876, 1608, 84907, 1260, 323, 40085, 33969, 902, 527, 8647, 311, 1935, 8533, 64, 76304, 788, 13162, 627, 3915, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 279, 1890, 1648, 11, 279, 17032, 315, 279, 6335, 315, 279, 1917, 315, 279, 8762, 27886, 15530, 627, 8538, 315, 279, 1948, 23806, 13334, 388, 990, 304, 279, 3157, 11, 902, 374, 264, 4382, 311, 656, 279, 1920, 627, 2181, 374, 539, 264, 6220, 323, 7524, 1648, 311, 1005, 420, 2027, 430, 374, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 539, 279, 1888, 1749, 369, 23806, 66507, 5707, 719, 539, 682, 279, 892, 627, 2181, 374, 264, 5933, 8762, 27886, 22822, 430, 374, 279, 2027, 430, 1511, 311, 1520, 499, 636, 49183, 279, 3135, 627, 6153, 279, 1176, 11, 8893, 291, 23806, 43875, 990, 555, 35988, 4184, 311, 279, 1455, 3230, 5238, 315, 279, 23806, 627, 92089, 304, 279, 3723, 4273, 311, 1304, 2771, 430, 814, 2349, 279, 2027, 574, 8040, 627, 4919, 8762, 27886, 26153, 13194, 499, 311, 617, 279, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 10105, 311, 6300, 65146, 26153, 627, 13622, 315, 279, 3157, 374, 369, 499, 323, 499, 690, 7995, 1205, 311, 1005, 279, 15150, 311, 53744, 279, 23806, 627, 44687, 8833, 11967, 26153, 6962, 8216, 279, 23806, 66507, 26153, 656, 539, 2216, 636, 279, 8592, 2574, 311, 6994, 279, 1404, 315, 701, 23806, 627, 13622, 3026, 527, 3411, 369, 5933, 23806, 66507, 33690, 11, 902, 374, 1633, 1664, 22015, 3185, 6372, 627, 37521, 7392, 27886, 33690, 430, 527, 264, 5933, 1648, 311, 5376, 23806, 1404, 11, 323, 1101, 264, 2763, 315, 2574, 627, 5455, 588, 4960, 5735, 1377, 10891, 1608, 15530, 430, 649, 5353, 813, 6562, 1973, 10633, 8762, 27886, 7172, 8544, 311, 6562, 311, 4330, 46943, 682, 279, 14293, 627, 3112, 279, 1455, 3062, 1648, 311, 656, 279, 8903, 315, 701, 1877, 2324, 11, 433, 374, 5246, 26153, 430, 1304, 499, 1566, 1317, 304, 4950, 311, 636, 279, 1203, 627, 2028, 374, 69919, 311, 53744, 279, 1344, 4575, 307, 23806, 11, 323, 12314, 6147, 323, 76026, 1418, 279, 23806, 374, 279, 5845, 311, 14841, 701, 23806, 627, 6153, 499, 617, 264, 1620, 3575, 11, 433, 374, 2663, 7802, 543, 11, 499, 649, 23846, 311, 11322, 279, 1888, 3135, 627, 2028, 2800, 374, 264, 23806, 14155, 430, 374, 459, 11646, 27375, 430, 3727, 499, 1566, 5129, 369, 264, 5129, 627, 2181, 596, 1101, 264, 6724, 7524, 8762, 27886, 22822, 430, 374, 2736, 1511, 311, 4322, 1949, 505, 1855, 33155, 627, 4071, 420, 1648, 499, 636, 264, 2766, 315, 55146, 323, 499, 1436, 1205, 311, 1005, 433, 311, 636, 682, 279, 1314, 1648, 311, 1587, 4401, 5376, 23806, 1404, 656, 433, 627, 8370, 1608, 15530, 374, 279, 62844, 8762, 27886, 26153, 2561, 304, 279, 3157, 315, 2418, 12623, 627, 8538, 315, 1521, 3956, 499, 3009, 4737, 6299, 311, 1304, 2771, 430, 499, 527, 8647, 311, 18361, 627, 2181, 1101, 12992, 279, 6680, 6530, 311, 279, 23806, 11, 902, 499, 649, 26153, 430, 1304, 499, 1566, 1317, 304, 4950, 636, 264, 2697, 9498, 65146, 627, 4071, 422, 499, 527, 13126, 311, 6227, 430, 499, 649, 1935, 264, 2478, 4038, 1603, 12096, 323, 8108, 433, 627, 2181, 374, 5526, 304, 279, 7427, 13, 1628, 2400, 750, 11, 279, 2435, 649, 1893, 5196, 11, 323, 701, 6680, 4319, 38220, 6067, 369, 264, 5129, 29869, 65146, 627, 2359, 893, 1608, 15530, 311, 6106, 701, 23806, 304, 2015, 311, 733, 6957, 9002, 279, 2027, 627, 12834, 433, 374, 3284, 311, 649, 499, 1304, 499, 23806, 11493, 43274, 1935, 220, 19, 12, 18, 4038, 11, 499, 649, 1456, 433, 304, 264, 5995, 89111, 299, 4338, 18029, 627, 11708, 40132, 8762, 7392, 5178, 27886, 15530, 3221, 1867, 6863, 76304, 12252, 11, 323, 264, 16643, 65146, 374, 1903, 505, 51487, 22822, 430, 1520, 311, 5376, 40699, 4367, 627, 94607, 4284, 430, 279, 33155, 315, 279, 14247, 13128, 374, 264, 1949, 18336, 1920, 627, 4071, 433, 374, 264, 5933, 1648, 311, 8108, 23806, 4245, 311, 3428, 94482, 11, 3428, 94482, 11, 323, 3428, 7392, 32403, 627, 4071, 11, 499, 1541, 956, 636, 1124, 279, 892, 499, 649, 636, 264, 20955, 315, 279, 1176, 7394, 6193, 279, 5663, 627, 81116, 7392, 27886, 26153, 8544, 323, 6062, 18065, 50453, 279, 2027, 627, 8110, 8762, 27886, 15530, 430, 4375, 709, 1070, 719, 1070, 527, 1690, 2204, 2574, 430, 527, 32343, 32551, 902, 527, 3604, 6982, 311, 1520, 1124, 304, 7859, 279, 1404, 315, 701, 23806, 627, 28156, 559, 321, 1662, 275, 27208, 57217, 32403, 11, 279, 3575, 649, 38416, 2718, 387, 1587, 4401, 5376, 23806, 1404, 3044, 2391, 1877, 627, 2181, 374, 539, 9193, 3284, 311, 636, 264, 1695, 1587, 28893, 1304, 577, 1566, 5129, 304, 4950, 65146, 902, 374, 264, 2294, 1648, 311, 2567, 701, 23806, 18182, 627, 7009, 527, 2631, 311, 1935, 904, 315, 279, 1888, 8762, 27886, 26153, 311, 3026, 889, 656, 539, 1440, 1148, 374, 279, 24770, 23806, 27886, 26153, 627, 4071, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 369, 3026, 889, 617, 4851, 8624, 311, 2768, 264, 2478, 315, 279, 1888, 23806, 27886, 26153, 311, 387, 3025, 311, 733, 6957, 1124, 627, 4516, 11, 433, 596, 832, 315, 279, 1888, 8762, 27886, 33690, 11, 439, 1664, 439, 279, 1888, 8762, 27886, 26153, 2561, 627, 13622, 315, 279, 1888, 8762, 27886, 33690, 11, 719, 279, 1888, 8762, 27886, 26153, 304, 6140, 311, 3780, 872, 2027, 323, 602, 627, 4599, 1304, 701, 23806, 11493, 26153, 499, 2351, 3794, 264, 5627, 311, 6562, 449, 701, 8427, 11, 499, 690, 636, 1866, 810, 323, 2653, 39357, 5247, 627, 32, 2763, 315, 2768, 1521, 33690, 11, 902, 374, 832, 315, 279, 1948, 315, 279, 6776, 315, 3026, 889, 617, 6140, 627, 11458, 11, 584, 1440, 1268, 311, 1566, 5129, 304, 4950, 26153, 6782, 4662, 1521, 26153, 11, 5315, 11, 902, 374, 279, 1888, 8762, 27886, 26153, 389, 279, 3157, 627, 791, 5326, 315, 279, 23806, 374, 832, 315, 279, 1455, 5526, 5528, 430, 3493, 499, 449, 701, 10896, 1603, 499, 2015, 627, 37576, 27886, 5933, 2890, 2027, 11, 323, 279, 1455, 8147, 25795, 1766, 430, 445, 12, 7905, 4940, 374, 2561, 304, 264, 47955, 3756, 627, 37196, 3376, 483, 25, 1115, 25795, 374, 264, 5933, 25795, 430, 67232, 279, 6680, 6530, 311, 279, 23806, 627, 50, 15127, 11, 8544, 369, 8762, 27886, 7766, 902, 12992, 279, 5788, 315, 40032, 5990, 323, 1949, 40032, 311, 13654, 627, 2170, 1664, 439, 4619, 11, 433, 596, 1101, 264, 5526, 430, 374, 26153, 311, 1566, 1317, 264, 527, 220, 2636, 15, 14060, 3831, 8762, 27886, 26153, 3831, 2478, 2574, 430, 8349, 311, 5662, 279, 6372, 315, 16421, 627, 37576, 23806, 14155, 1327, 1693, 66507, 27277, 9211, 27886, 3756, 3313, 3148, 1435, 23806, 323, 54475, 627, 36, 2921, 458, 53617, 26153, 527, 264, 6913, 1948, 2740, 6216, 304, 279, 3157, 430, 649, 387, 14791, 627, 4599, 433, 4131, 311, 279, 3958, 315, 14134, 11, 279, 13597, 4512, 10264, 374, 264, 21639, 6958, 704, 279, 23806, 627, 4516, 1070, 527, 264, 2763, 315 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 40, 3782, 4028, 420, 88459, 6945, 420, 6693, 323, 433, 2216, 43939, 757, 709, 4999, 791, 1176, 2574, 430, 3782, 311, 4059, 369, 757, 1051, 18653, 1705, 11, 61535, 11, 86559, 17301, 323, 45272, 288, 13, 29308, 30, 4314, 2574, 1436, 1304, 757, 99952, 30, 1102, 1781, 539, 4999, 11458, 1981, 3473, 358, 27569, 2555, 5128, 13548, 505, 856, 1938, 13985, 13, 358, 1047, 264, 1633, 3361, 20392, 311, 9604, 320, 40, 690, 5117, 389, 420, 3010, 16715, 323, 682, 856, 34389, 1051, 304, 279, 13824, 716, 13, 358, 617, 1403, 95840, 25, 832, 369, 279, 15447, 358, 1511, 311, 387, 3025, 311, 10051, 323, 832, 369, 279, 15447, 358, 1097, 12512, 1457, 477, 1884, 430, 1629, 264, 2697, 11493, 13, 358, 1097, 2103, 389, 420, 11879, 311, 9229, 53808, 8834, 323, 358, 617, 539, 8813, 856, 5915, 3686, 11, 719, 358, 1097, 8659, 3339, 5208, 0, 358, 31156, 922, 279, 25002, 6857, 315, 34389, 358, 7020, 358, 1436, 539, 1524, 3215, 323, 3463, 1253, 387, 358, 1436, 10051, 264, 2466, 61221, 311, 10477, 24923, 422, 27785, 358, 1436, 636, 1124, 3347, 856, 60611, 13, 358, 574, 16984, 311, 1524, 1456, 11, 719, 358, 1550, 13, 1628, 8101, 1148, 0, 1054, 32148, 279, 2574, 430, 499, 527, 1455, 16984, 527, 279, 1633, 2574, 430, 1304, 499, 279, 99952, 18319, 2876, 1193, 1550, 1521, 4040, 34389, 5052, 11, 358, 1047, 311, 10051, 264, 19671, 449, 1124, 4999, 40, 17210, 420, 6380, 97721, 4545, 320, 438, 1938, 16715, 311, 25976, 73423, 2508, 1139, 856, 7446, 17942, 13, 358, 2733, 2731, 11, 358, 617, 810, 4907, 11, 358, 2733, 88018, 323, 20097, 1306, 856, 27116, 11, 323, 856, 89928, 369, 2574, 1093, 24512, 11, 97604, 11, 74975, 15657, 323, 3738, 76657, 617, 29496, 627, 8538, 25835, 3727, 912, 5647, 11, 719, 422, 499, 1781, 922, 433, 11, 6118, 1778, 53219, 1304, 682, 279, 5647, 304, 279, 1917, 4999, 19999, 77351, 7440, 48194, 323, 1781, 922, 7999, 1063, 73423, 2508, 311, 701, 10173, 1981, 9514, 690, 387, 35072, 323, 14792, 994, 499, 649, 636, 1139, 701, 2362, 34389, 2288, 4999, 40, 4036, 459, 384, 11724, 922, 459, 6596, 4227, 430, 1120, 1903, 856, 1938, 13, 358, 1120, 1047, 311, 4430, 13, 1102, 574, 505, 856, 6691, 627, 21364, 16267, 1120, 12164, 988, 627, 2118, 12947, 369, 279, 2294, 11813, 13, 54859, 311, 13182, 2396, 323, 1047, 264, 5041, 13, 358, 2751, 1070, 922, 220, 806, 25, 410, 6912, 323, 1070, 1051, 922, 220, 21, 9191, 3278, 922, 856, 4325, 323, 264, 5743, 315, 1124, 2212, 220, 1490, 1667, 2362, 11, 902, 1903, 757, 2733, 304, 279, 1314, 1912, 13, 2435, 1051, 779, 11919, 323, 3309, 757, 814, 1051, 264, 15860, 315, 305, 2661, 388, 323, 10456, 311, 30884, 323, 6688, 2294, 80342, 323, 1243, 814, 682, 3782, 323, 94568, 757, 323, 11784, 5694, 13, 2435, 527, 16026, 358, 2586, 994, 814, 527, 1070, 323, 1071, 814, 617, 264, 2763, 315, 2523, 323, 71766, 1022, 264, 2763, 719, 2744, 636, 1070, 26308, 2884, 13, 2435, 15612, 2212, 1093, 358, 1550, 389, 279, 2697, 32440, 323, 7111, 779, 19369, 3815, 433, 13, 2435, 1051, 1778, 264, 11919, 1912, 323, 1071, 7170, 814, 733, 311, 16163, 27905, 719, 539, 2288, 3629, 11, 7344, 3131, 264, 2305, 13, 1666, 814, 2163, 814, 1855, 3782, 323, 94568, 757, 1578, 323, 814, 682, 94568, 1855, 1023, 13, 578, 29994, 574, 43660, 323, 358, 1120, 2216, 1047, 264, 2294, 892, 323, 1047, 264, 1695, 26308, 13, 46817, 11, 433, 2216, 374, 5115, 264, 1695, 26308, 323, 5829, 682, 701, 24569, 13, 3383, 3411, 4741, 311, 14691, 323, 311, 279, 502, 63081, 13, 3639, 264, 2294, 15860, 315, 23628, 323, 358, 1440, 4359, 574, 46090, 279, 4459, 3245, 2533, 814, 5052, 856, 4325, 2237, 323, 85367, 1918, 13, 358, 1120, 10456, 433, 682, 13, 11361, 369, 33018, 757, 311, 13182, 2396, 2029, 1389, 38, 5248, 426, 627, 791, 13957, 1511, 304, 279, 13182, 2396, 2068, 374, 5423, 9250, 369, 96178, 52368, 89766, 10934, 13, 358, 3021, 430, 856, 46944, 656, 539, 13194, 856, 13272, 477, 13194, 757, 0, 358, 617, 72909, 10234, 57795, 323, 1023, 35776, 5435, 16239, 856, 13272, 505, 459, 35528, 11677, 1667, 323, 1667, 4227, 11, 779, 358, 617, 311, 387, 1633, 16994, 11, 323, 358, 4822, 3201, 505, 4785, 1005, 449, 856, 8582, 2547, 13, 26848, 11, 358, 1005, 856, 1866, 24569, 369, 48513, 323, 13957, 2391, 872, 14964, 220, 966, 24401, 32844, 26308, 627, 791, 8244, 7720, 856, 6691, 374, 2133, 311, 8895, 311, 1077, 2890, 555, 18667, 13182, 2396, 527, 1120, 737, 2727, 56912, 13, 1115, 6197, 757, 311, 1781, 922, 12135, 323, 1268, 3062, 433, 374, 311, 617, 1063, 3169, 315, 33152, 449, 3885, 13, 578, 8930, 462, 309, 12, 6109, 3751, 10685, 19170, 1054, 9978, 647, 287, 863, 439, 1054, 64, 3345, 477, 32487, 5133, 2029, 1226, 439, 12966, 11, 1205, 311, 9352, 13, 2057, 832, 2500, 11, 311, 1057, 4885, 323, 8689, 11, 311, 1057, 7829, 323, 3224, 11, 311, 1057, 1917, 13, 2209, 36062, 11, 75040, 323, 3428, 3674, 2704, 649, 11682, 264, 1732, 753, 44122, 5647, 315, 1664, 33851, 11, 439, 1664, 439, 813, 477, 1077, 20207, 26501, 11, 22852, 734, 323, 2890, 627, 12834, 358, 1903, 4442, 311, 856, 17479, 11, 26677, 323, 3779, 73423, 2508, 439, 961, 315, 856, 7446, 21644, 11, 358, 649, 49262, 311, 279, 8056, 7720, 358, 617, 4036, 13, 358, 912, 5129, 617, 52303, 18638, 477, 52303, 7693, 14, 1201, 273, 6784, 430, 358, 574, 3515, 389, 264, 7446, 8197, 505, 856, 68132, 46313, 590, 55652, 13, 358, 617, 5675, 4785, 520, 264, 9498, 2237, 11, 539, 19019, 320, 19643, 311, 2586, 1203, 8, 505, 1063, 4062, 5155, 10173, 477, 927, 10826, 64289, 13128, 27116, 13, 358, 617, 1903, 9498, 19433, 4442, 11, 358, 1097, 3339, 27498, 5208, 323, 358, 2733, 779, 1695, 13, 1115, 374, 3249, 358, 1053, 3021, 311, 1520, 499, 389, 701, 11879, 369, 2450, 13, 358, 1053, 2733, 39377, 11, 3604, 627, 7516, 2968, 323, 33152, 311, 832, 2500, 374, 264, 9498, 5873, 584, 682, 1288, 1304, 323, 13969, 77351, 7440, 48194, 1938, 304, 323, 1938, 704, 627, 12389, 264, 17104, 9178, 345, 47, 815, 13, 5321, 3729, 757, 520, 904, 892, 422, 499, 1053, 1093, 810, 35649, 16655, 24826, 323, 1935, 264, 1427, 520, 73423, 2508, 11, 902, 374, 2555, 358, 4250, 13085, 3596, 2133, 2085, 304, 856, 2324, 13, 358, 1097, 10917, 279, 2723, 311, 279, 14293, 1618, 25, 1795, 1129, 12534, 739, 42961, 17, 58747, 275, 916, 90285, 77302, 731, 2508, 4, 508, 46847, 16378, 198, 11087, 1935, 264, 1427, 0, 28584, 198, 91, 40353, 6401, 39195, 25, 8651, 44, 6430, 6401, 39195, 512, 791, 6401, 39195, 315, 20449, 269, 323, 5034, 7490, 198, 49619, 269, 374, 50600, 13, 578, 5222, 315, 93856, 43214, 374, 3117, 810, 89534, 1109, 904, 40700, 11, 58387, 273, 11, 477, 21423, 68, 3059, 13, 3277, 43214, 374, 6222, 11, 433, 58585, 1274, 3871, 323, 12992, 23871, 323, 66264, 13, 5034, 7490, 1101, 31854, 9498, 7106, 4442, 304, 279, 2547, 13, 20449, 269, 323, 43214, 20259, 701, 22852, 1887, 11, 7916, 701, 4907, 11, 57160, 6784, 11, 323, 6144, 499, 505, 279, 34446, 6372, 315, 8631, 13, 7252, 315, 682, 11, 420, 92044, 16088, 374, 2523, 11, 1949, 11, 323, 4228, 311, 1005, 4999, 8921, 7490, 374, 3831, 16088, 369, 4059, 323, 2547, 198, 93, 7043, 469, 13, 23778, 50153, 11, 2405, 920, 627, 8921, 7490, 374, 264, 8147, 90687, 1295, 311, 8631, 11, 6784, 11, 323, 12324, 13, 12334, 4375, 10819, 477, 810, 6904, 2915, 311, 4546, 701, 4059, 323, 2547, 1203, 1139, 8335, 1109, 264, 1695, 12835, 13, 20449, 269, 3177, 729, 701, 64074, 11, 70390, 16388, 11, 34161, 499, 311, 3885, 11, 323, 13912, 499, 45445, 11, 10968, 11, 323, 5225, 627, 2409, 779, 1790, 2410, 311, 27661, 323, 14195, 11, 279, 5845, 311, 12835, 6847, 323, 14134, 374, 264, 28040, 5211, 369, 1765, 16966, 287, 5435, 11, 47594, 701, 12135, 11, 323, 12899, 2225, 7106, 323, 14604, 2890, 627, 38585, 10177, 11, 12336, 323, 358, 1694, 8381, 16677, 17003, 555, 1057, 4885, 6382, 4641, 2391, 14177, 1566, 11714, 29275, 8921, 7490, 374, 1695, 369, 701, 2890, 198, 12, 5034, 7490, 12234, 288, 279, 4459, 2547, 13, 362, 1695, 11, 82651, 12835, 1375, 39235, 7106, 24408, 323, 8631, 11, 9564, 701, 24569, 31467, 369, 709, 311, 220, 1774, 4520, 1306, 627, 12, 5034, 7490, 67232, 279, 22852, 1887, 13, 5034, 7490, 43154, 8631, 44315, 323, 12992, 22852, 7917, 323, 19405, 2269, 45850, 59854, 11, 8617, 18899, 701, 13957, 311, 8624, 627, 12, 5034, 7490, 31854, 279, 4984, 315, 842, 16751, 1354, 11, 279, 2547, 753, 5933, 2733, 72800, 26333, 13, 4060, 16751, 1354, 12192, 459, 8244, 5647, 315, 1664, 33851, 323, 649, 1524, 28191, 48839, 6784, 627, 12, 5034, 7490, 36236, 279, 4851, 13, 5034, 7490, 36050, 279, 734, 315, 6680, 31080, 323, 12992, 6680, 6530, 11, 902, 649, 1520, 6144, 499, 2403, 264, 4851, 3440, 323, 1023, 41713, 5435, 627, 38257, 374, 856, 10177, 323, 358, 10168, 1057, 6548, 1825, 439, 7029, 323, 1317, 439, 584, 11000, 649, 1306, 1694, 8381, 16677, 17003, 555, 264, 6382, 4641, 28684, 8921, 7490, 323, 28485, 1520, 499, 4822, 38683, 9498, 198, 8921, 7490, 3727, 499, 2733, 1695, 13, 1628, 279, 1695, 8430, 430, 499, 636, 994, 499, 12835, 8625, 449, 499, 1524, 1306, 279, 43214, 5258, 3422, 13, 20449, 269, 8779, 499, 2567, 264, 6928, 11, 37036, 36721, 1555, 5107, 15082, 11, 14429, 1392, 11, 323, 4814, 627, 7816, 1109, 1120, 264, 594, 6100, 505, 51978, 323, 6784, 11, 43214, 6835, 499, 279, 25775, 323, 8333, 311, 1505, 502, 8336, 315, 7438, 323, 3987, 13, 7570, 304, 279, 1455, 5107, 315, 3115, 11, 264, 12835, 4235, 269, 1524, 5042, 264, 15648, 4235, 4919, 733, 264, 1317, 1648, 9017, 3339, 499, 2733, 2731, 13, 1628, 43214, 2216, 374, 89534, 2345, 4345, 11011, 43214, 50533, 701, 8271, 323, 1373, 552, 499, 311, 15648, 323, 5249, 304, 279, 2523, 627, 791, 2723, 1990, 43214, 323, 10723, 2890, 198, 12, 5034, 7490, 14091, 18685, 35104, 287, 21958, 13, 1472, 649, 1431, 2733, 38100, 11, 19021, 11, 477, 12703, 994, 499, 3207, 32681, 627, 12, 5034, 7490, 8779, 499, 12234, 323, 47923, 13, 1102, 26338, 8631, 323, 12992, 4907, 11, 28462, 499, 311, 4822, 10968, 323, 22829, 810, 627, 12, 20449, 269, 29735, 13356, 11, 10923, 499, 311, 1518, 15082, 304, 264, 810, 26569, 11, 2753, 27903, 3177, 13, 362, 70946, 13356, 11705, 24064, 6138, 11, 902, 649, 1520, 499, 5766, 8430, 43206, 627, 7, 8140, 25237, 4885, 11, 42287, 612, 11517, 11, 14177, 1566, 11714, 29275, 6971, 24992, 810, 28485, 323, 43214, 1139, 701, 2324, 198, 29923, 311, 4546, 279, 2523, 30, 2175, 264, 6896, 90578, 13622, 315, 603, 617, 10534, 279, 16267, 315, 5737, 449, 264, 75519, 4333, 11, 323, 26159, 527, 264, 42093, 1648, 311, 4546, 810, 43214, 323, 16267, 1139, 701, 2324, 13, 2030, 1550, 499, 1440, 430, 3515, 264, 6896, 374, 1101, 1695, 369, 701, 10723, 323, 7106, 2890, 30, 19241, 1501, 430, 26159, 649, 6144, 499, 18710, 11, 8631, 11, 323, 1524, 4851, 8624, 627, 8921, 7490, 374, 701, 7342, 1315, 11, 264, 5933, 961, 315, 2324, 430, 374, 65070, 323, 304, 16381, 13, 15268, 1821, 3240, 37163, 2391, 279, 1176, 5672, 315, 2324, 323, 12835, 704, 17813, 2949, 4038, 315, 1694, 9405, 13, 7570, 422, 499, 1550, 539, 3139, 709, 304, 264, 14048, 1405, 43214, 574, 264, 4279, 5222, 11, 499, 649, 4048, 311, 12835, 520, 904, 6566, 315, 2324, 627, 11382, 555, 6376, 16038, 3361, 3115, 311, 6056, 704, 28485, 323, 43214, 11, 439, 499, 2643, 449, 3318, 704, 11, 323, 1977, 505, 1070, 13, 38274, 11, 499, 4805, 1390, 311, 33435, 28485, 323, 43214, 1139, 279, 13354, 315, 701, 2324, 11, 9455, 433, 18182, 304, 4395, 499, 656, 627, 8586, 527, 1063, 5627, 311, 1212, 512, 12, 79405, 13, 4487, 8138, 374, 279, 7314, 315, 43214, 13, 9086, 43214, 11, 433, 753, 89534, 13, 393, 6473, 388, 304, 1054, 4355, 7595, 15419, 2476, 1505, 433, 753, 3284, 311, 12835, 2085, 1524, 25051, 264, 15526, 1567, 13, 578, 1890, 10187, 369, 37163, 13, 3277, 499, 1427, 520, 4423, 477, 1518, 2555, 1524, 76949, 54799, 11, 6725, 37163, 627, 12, 4605, 701, 56650, 13, 26550, 750, 1304, 264, 1160, 13, 578, 4382, 1180, 315, 13126, 279, 1695 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 29951, 832, 11, 2586, 682, 0, 2468, 67540, 29935, 34385, 389, 6841, 220, 1691, 267, 11, 94465, 323, 12731, 10255, 26044, 43179, 480, 63975, 690, 5409, 5678, 4871, 264, 893, 28935, 9699, 36460, 3156, 584, 4662, 1475, 3048, 315, 813, 502, 4984, 505, 43951, 3458, 35156, 11, 578, 8769, 51679, 315, 473, 3023, 6729, 25, 6017, 3861, 0, 7566, 11, 430, 1053, 387, 279, 1633, 1890, 26044, 43179, 480, 63975, 889, 66145, 41673, 5678, 311, 264, 9629, 3177, 4994, 435, 18378, 93944, 1566, 7552, 11, 52876, 10160, 11, 11422, 11, 323, 4379, 44983, 304, 2015, 311, 4662, 813, 29159, 13, 4800, 430, 753, 39955, 627, 644, 279, 1890, 9090, 11, 568, 4805, 387, 3339, 813, 92906, 28022, 471, 311, 435, 18378, 93944, 369, 279, 8769, 51679, 315, 473, 3023, 6729, 17836, 27726, 23868, 389, 279, 1938, 1603, 37250, 13, 2684, 690, 387, 3361, 15051, 0, 2684, 690, 387, 3974, 2835, 315, 420, 44081, 57891, 389, 1057, 13674, 5510, 0, 2684, 690, 387, 264, 15042, 893, 45909, 16447, 4871, 264, 36460, 369, 586, 20705, 87023, 1268, 3629, 1587, 832, 636, 311, 14318, 264, 6685, 315, 430, 304, 264, 2317, 430, 753, 3604, 6220, 369, 990, 30, 16110, 555, 435, 18378, 93944, 389, 4723, 13, 220, 1691, 267, 323, 3820, 709, 264, 3048, 315, 578, 8769, 51679, 315, 473, 3023, 6729, 311, 1520, 48839, 813, 23104, 13, 1442, 499, 649, 1431, 1304, 433, 311, 279, 3637, 430, 1938, 11, 54164, 539, 25, 2930, 6763, 1101, 1797, 627, 45, 16900, 1883, 548, 657, 710, 16835, 3749, 25, 16850, 279, 17755, 315, 452, 16900, 350, 2159, 969, 11, 3229, 46928, 41, 323, 10255, 31079, 1195, 64, 1032, 315, 279, 14827, 452, 16900, 25, 26486, 18811, 20303, 2363, 4101, 11, 1933, 10255, 53832, 3590, 4006, 315, 13674, 31449, 452, 16900, 753, 20238, 51679, 11, 452, 16900, 753, 10836, 432, 78555, 14130, 11, 1949, 87326, 11, 323, 1023, 452, 16900, 65524, 18525, 1924, 627, 57789, 311, 67540, 29935, 34385, 389, 4723, 13, 220, 1187, 339, 505, 220, 20, 12, 24, 5975, 13, 9369, 1618, 369, 264, 2539, 1160, 315, 452, 16900, 55425, 5131, 2561, 627, 45, 16900, 11, 279, 22999, 77501, 9994, 69, 3847, 15730, 24045, 63865, 11, 374, 3339, 264, 20428, 3009, 520, 67540, 29935, 34385, 389, 4723, 13, 220, 1187, 339, 505, 220, 20, 12, 24, 8971, 369, 279, 452, 16900, 1883, 548, 657, 710, 16835, 3749, 13, 22991, 505, 459, 1358, 315, 37824, 11, 39568, 11, 12706, 11, 323, 810, 11, 682, 991, 2067, 5639, 291, 449, 452, 16900, 753, 35947, 93874, 13, 1472, 4805, 617, 10708, 311, 3243, 38508, 2391, 452, 16900, 753, 10836, 432, 78555, 11, 264, 6140, 311, 3449, 279, 3229, 323, 10255, 315, 452, 16900, 753, 14827, 6945, 2363, 11, 323, 1023, 452, 16900, 65524, 18525, 1924, 25, 1817, 1203, 449, 603, 927, 279, 1828, 5743, 315, 5672, 369, 4726, 3649, 13, 452, 16900, 350, 2159, 969, 690, 1101, 387, 3339, 1202, 958, 16876, 24045, 35952, 520, 279, 1567, 11, 779, 4822, 5225, 323, 2567, 459, 8071, 704, 662, 662, 16853, 3923, 374, 452, 16900, 350, 2159, 969, 30, 2684, 753, 1193, 832, 1648, 311, 1505, 704, 627, 45, 16900, 11, 279, 22999, 77501, 9994, 69, 3847, 15730, 24045, 63865, 11, 374, 3339, 264, 20428, 3009, 520, 67540, 29935, 34385, 389, 4723, 13, 220, 1187, 339, 369, 279, 452, 16900, 1883, 548, 657, 710, 16835, 3749, 13, 22991, 505, 459, 1358, 315, 37824, 11, 39568, 11, 12706, 11, 323, 810, 11, 682, 991, 2067, 5639, 291, 449, 452, 16900, 753, 35947, 93874, 13, 1226, 4805, 387, 16850, 47603, 11, 87326, 11, 323, 1023, 452, 16900, 65524, 18525, 1924, 25, 1817, 1203, 520, 279, 13690, 29935, 927, 279, 1828, 2478, 5672, 369, 4726, 3649, 13, 452, 16900, 350, 2159, 969, 690, 1101, 387, 3339, 1202, 958, 16876, 24045, 35952, 520, 279, 1567, 11, 779, 4822, 5225, 323, 2567, 459, 8071, 704, 662, 662, 16853, 3923, 374, 452, 16900, 350, 2159, 969, 30, 2684, 753, 1193, 832, 1648, 311, 1505, 704, 627, 791, 1176, 315, 279, 3116, 11, 24768, 416, 750, 12365, 11, 374, 47, 478, 321, 768, 389, 264, 4251, 15580, 320, 69389, 520, 2163, 449, 32171, 315, 279, 74842, 323, 1050, 1055, 519, 570, 2468, 1176, 34522, 11, 50790, 555, 279, 490, 292, 17334, 9072, 323, 387, 7897, 4251, 7056, 11, 358, 3463, 568, 9922, 311, 387, 264, 18732, 295, 1122, 94496, 3752, 11, 719, 568, 753, 3604, 459, 41708, 908, 110436, 55537, 10896, 0, 12220, 279, 11639, 315, 78869, 14338, 55537, 11, 1054, 3055, 12816, 863, 449, 3629, 2922, 32611, 6593, 6677, 28670, 1521, 2291, 65, 3785, 45188, 2345, 6387, 11330, 315, 7353, 31217, 318, 2106, 45526, 11, 1317, 49680, 927, 1030, 1900, 11, 323, 12224, 4908, 27227, 2345, 3556, 389, 14523, 4315, 55537, 12697, 11, 2225, 311, 7771, 5694, 2403, 8624, 323, 8985, 9498, 29036, 430, 4648, 574, 3221, 13, 578, 7056, 753, 6548, 1051, 55959, 449, 9168, 11, 1202, 387, 587, 45413, 449, 82688, 42393, 311, 81982, 704, 279, 357, 20345, 315, 31815, 25, 420, 832, 11, 3582, 11, 374, 42902, 323, 1903, 315, 12466, 13, 53535, 433, 709, 323, 499, 4805, 5406, 89245, 321, 768, 374, 7554, 459, 8071, 1234, 813, 7056, 23442, 3892, 19390, 4776, 55537, 779, 417, 13, 362, 1273, 11, 1268, 19369, 627, 29784, 11, 389, 264, 64536, 12744, 31348, 2579, 15580, 11, 33511, 5540, 315, 6411, 7515, 65, 505, 5370, 2781, 300, 25, 279, 8957, 3796, 14113, 315, 264, 51203, 1013, 449, 279, 6730, 78, 25567, 323, 12896, 26302, 315, 264, 19225, 2326, 27202, 5636, 264, 29144, 40, 11549, 6962, 7056, 11, 902, 568, 4805, 36548, 1205, 1306, 279, 1917, 706, 1027, 85378, 449, 682, 430, 55537, 13, 578, 6962, 7056, 753, 2955, 706, 1027, 46664, 505, 430, 315, 67502, 58500, 505, 4101, 220, 24, 320, 4151, 6685, 25, 389, 1314, 705, 3582, 449, 10284, 2204, 13354, 13, 9636, 28917, 433, 11, 568, 753, 2751, 264, 42442, 2697, 3663, 30314, 291, 449, 4208, 6308, 13, 18056, 358, 6562, 117214, 1030, 1047, 8774, 279, 32635, 6982, 304, 279, 25018, 2373, 11, 5111, 374, 4762, 856, 7075, 315, 420, 743, 627, 5971, 709, 374, 435, 20588, 389, 264, 3776, 15580, 320, 69389, 449, 2998, 14029, 505, 4101, 220, 21, 570, 435, 20588, 374, 44894, 1618, 439, 264, 35101, 6307, 46407, 21203, 3828, 12512, 81272, 26302, 323, 1776, 7719, 26518, 82, 11, 449, 264, 69397, 43245, 8679, 323, 24937, 10539, 7160, 2779, 41803, 82091, 311, 20461, 1268, 991, 582, 10234, 1364, 374, 505, 13287, 3359, 15357, 11852, 34906, 13, 358, 5828, 1431, 430, 2466, 389, 420, 7804, 99563, 3325, 7863, 311, 279, 3885, 11, 16662, 8884, 1364, 5992, 459, 613, 2298, 38210, 6617, 320, 17206, 13926, 10481, 97767, 11, 422, 1364, 1047, 264, 10284, 2204, 1933, 13155, 68850, 4636, 279, 11944, 30535, 1194, 315, 1077, 32519, 574, 264, 6555, 5916, 627, 5966, 374, 16290, 389, 264, 1054, 79, 1604, 863, 15580, 320, 8370, 4519, 279, 1890, 69397, 2955, 439, 435, 20588, 753, 3776, 15580, 11, 2555, 358, 1766, 264, 2766, 16053, 570, 36174, 34392, 1543, 16290, 8111, 810, 21108, 3640, 323, 42108, 1109, 279, 72426, 53034, 2788, 1156, 96960, 2695, 100092, 74404, 84522, 11549, 16290, 505, 4101, 220, 868, 320, 69389, 520, 1314, 570, 1115, 2697, 7564, 5097, 279, 1376, 315, 264, 67542, 88, 35113, 5405, 7897, 304, 4617, 55202, 436, 2076, 25, 9539, 568, 753, 2736, 1027, 3794, 1523, 311, 2626, 320, 9210, 374, 11, 279, 2626, 315, 32993, 3948, 4776, 264, 11191, 3392, 315, 279, 9578, 753, 40771, 570, 60998, 264, 6573, 1537, 369, 16682, 437, 1093, 757, 889, 3021, 4205, 296, 76384, 4411, 72, 14228, 627, 4959, 315, 279, 445, 4195, 13625, 34392, 5794, 315, 279, 80297, 374, 5131, 2561, 520, 435, 18378, 93944, 11, 2225, 304, 34352, 323, 2930, 13, 1472, 649, 1101, 3820, 709, 279, 36277, 92139, 291, 10280, 57689, 19048, 15371, 39857, 22068, 27202, 4999, 5519, 2151, 82, 8063, 315, 70002, 590, 33012, 30, 19292, 814, 690, 2391, 279, 54559, 26241, 735, 13, 23373, 10170, 43754, 17042, 17772, 11, 13847, 369, 6790, 220, 22, 339, 12, 24, 339, 520, 44578, 8130, 304, 13926, 10481, 11, 26832, 320, 266, 220, 17212, 18206, 21998, 25, 18445, 1618, 570, 1102, 753, 1694, 5762, 304, 16044, 315, 279, 220, 966, 339, 22310, 315, 11670, 39074, 37731, 56662, 37080, 46046, 11, 3196, 389, 832, 315, 4059, 1481, 2518, 66836, 74531, 3229, 26241, 735, 13, 23373, 753, 1455, 11495, 32963, 13, 578, 19309, 22262, 311, 15253, 3463, 10039, 85, 10979, 9678, 48539, 811, 315, 8198, 439, 264, 3917, 315, 2225, 17422, 323, 2144, 627, 51240, 1026, 389, 279, 19309, 753, 22162, 2997, 11, 4315, 3885, 11, 10292, 27875, 69110, 48748, 44578, 24708, 52996, 11, 24064, 3634, 20156, 578, 8155, 23804, 11, 323, 25864, 35, 34185, 13792, 3658, 32672, 336, 952, 11, 40500, 26349, 285, 8613, 4993, 668, 323, 8925, 19599, 21080, 753, 86068, 1254, 86322, 13, 22395, 279, 11007, 7090, 1705, 527, 83323, 39748, 386, 7616, 83, 11, 3967, 369, 813, 44983, 1139, 279, 13336, 315, 892, 5944, 26, 63100, 23347, 323, 8198, 17422, 81747, 33305, 12847, 3258, 26, 11641, 78879, 11, 3552, 315, 9063, 1501, 31933, 315, 279, 26296, 26, 323, 35727, 16056, 14559, 11, 4264, 18688, 315, 3892, 44632, 26952, 4519, 320, 39, 1087, 13, 10919, 7868, 753, 1050, 12, 27101, 11, 5659, 31886, 11, 423, 6241, 4390, 91273, 11, 7834, 31571, 25, 578, 9479, 24367, 10800, 220, 914, 13, 320, 87681, 11, 856, 7075, 9417, 574, 279, 832, 304, 902, 2956, 1047, 75362, 922, 12459, 264, 19692, 27367, 1093, 37745, 269, 19881, 72, 6266, 763, 16044, 315, 420, 91231, 481, 4101, 7314, 1202, 8502, 14789, 11501, 11, 67540, 29935, 374, 3515, 264, 832, 11477, 6412, 389, 13398, 7834, 31571, 14228, 3673, 389, 6250, 220, 1591, 339, 13, 3011, 753, 264, 220, 508, 4, 11336, 389, 7834, 31571, 3956, 304, 34352, 520, 67540, 29935, 34385, 323, 459, 5066, 220, 20, 4, 1022, 682, 31571, 22480, 2930, 25, 1120, 3810, 279, 11336, 2082, 37921, 964, 14202, 520, 28363, 320, 39830, 33433, 49023, 389, 279, 3814, 315, 279, 220, 1591, 339, 4390, 23025, 889, 10932, 872, 11689, 5710, 4671, 655, 3403, 311, 99082, 1288, 15763, 507, 657, 648, 25419, 11, 279, 6437, 46407, 21203, 34268, 3453, 24604, 315, 264, 1772, 46256, 69748, 16228, 45819, 430, 706, 1027, 85378, 555, 48173, 320, 69191, 750, 570, 7834, 315, 813, 1866, 2930, 20303, 11, 507, 657, 648, 374, 264, 810, 1732, 481, 28875, 315, 38836, 11, 264, 46482, 1940, 977, 889, 38202, 813, 1949, 892, 10695, 311, 2567, 2362, 35789, 48173, 304, 1584, 25, 1306, 682, 11, 568, 753, 4376, 3823, 627, 46, 657, 648, 25419, 4101, 34899, 1676, 35291, 29041, 1091, 88, 320, 1030, 36927, 315, 29041, 1091, 88, 356, 13066, 78, 11, 4953, 2637, 17276, 315, 37450, 64037, 11, 362, 64, 1494, 71, 12340, 8976, 63808, 17581, 578, 13944, 78024, 65, 618, 1065, 11, 323, 46870, 1543, 8, 323, 29517, 55770, 320, 70895, 315, 22169, 12631, 12538, 42013, 323, 66011, 529, 220, 975, 8, 690, 387, 520, 67540, 29935, 34385, 420, 5108, 6740, 520, 220, 22, 5975, 11, 16351, 16655, 11236, 315, 507, 657, 648, 25419, 25, 51679, 304, 279, 80297, 13, 2175, 18821, 1418, 17135, 1566, 4999, 12805, 1578, 11, 430, 753, 512, 70215, 29935, 34385, 198, 23879, 37776, 11, 1561, 4356, 11, 12551, 220, 1041, 2839, 198, 35720, 220, 24, 14, 1691, 520, 220, 22, 5975, 198, 12174, 11, 323, 4587, 5296, 430, 12459, 12637, 6444, 529, 35202, 374, 16917, 64770, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 42298, 35678, 25981, 11920, 2574, 315, 2802, 311, 35416, 304, 279, 6500, 2115, 13, 763, 220, 2550, 17, 11, 369, 2937, 11, 264, 35306, 11, 32813, 11249, 389, 10565, 6067, 14760, 704, 1990, 10555, 3241, 25175, 13929, 25566, 268, 59611, 323, 8732, 355, 8611, 838, 5469, 13, 2030, 1457, 430, 279, 8191, 706, 3719, 4661, 30547, 11, 2930, 28533, 61363, 709, 682, 279, 892, 4315, 1274, 889, 1051, 94135, 56333, 304, 7926, 13, 3011, 374, 11, 36870, 1274, 13, 328, 19245, 1274, 627, 99513, 279, 10205, 311, 71199, 1566, 1060, 320, 266, 3325, 304, 3738, 1561, 4356, 32465, 323, 3772, 26432, 8, 315, 1403, 3995, 26832, 6108, 16483, 11, 32602, 480, 39909, 323, 35266, 85431, 13, 11205, 15638, 76412, 6709, 3940, 459, 2930, 13766, 430, 36513, 505, 17715, 5587, 1555, 6664, 13, 5810, 753, 264, 25936, 315, 1148, 32122, 1203, 323, 13544, 304, 279, 8158, 315, 5370, 22939, 63594, 11, 1455, 315, 433, 15910, 520, 279, 1403, 16483, 25, 1472, 3207, 264, 41040, 88, 2697, 58587, 84341, 37034, 4851, 1752, 3823, 1694, 84341, 2418, 11, 499, 17668, 19419, 84341, 445, 13884, 84341, 33659, 540, 1910, 380, 84341, 2175, 279, 7976, 1022, 279, 8191, 84341, 63120, 73025, 84341, 4185, 70, 38587, 1732, 13, 1628, 279, 13458, 462, 337, 1193, 79849, 994, 85431, 323, 480, 39909, 3940, 5029, 1855, 1023, 627, 13191, 499, 656, 279, 2800, 315, 22706, 279, 4799, 315, 11, 1093, 11, 21939, 6261, 304, 4156, 315, 264, 5951, 477, 2555, 5380, 1688, 420, 6566, 304, 1202, 15740, 11, 279, 5000, 374, 1093, 459, 26762, 11775, 35459, 449, 5885, 889, 16805, 1648, 2288, 1790, 922, 5694, 11, 7170, 90187, 11, 7170, 4376, 100220, 11559, 11, 7170, 95119, 398, 13, 1102, 753, 264, 30774, 8221, 315, 3823, 20356, 323, 7865, 11, 264, 12111, 369, 11084, 1274, 2695, 33024, 13, 6187, 1306, 1938, 439, 279, 480, 39909, 12279, 619, 31017, 76782, 11, 358, 6656, 389, 856, 6500, 323, 4024, 264, 12, 11087, 540, 2785, 369, 279, 5652, 4500, 13, 9086, 904, 1695, 8903, 1501, 11, 433, 1903, 757, 14363, 7170, 11, 323, 358, 6818, 311, 18036, 7182, 3201, 505, 433, 11, 1193, 311, 1505, 7182, 63628, 2403, 1202, 17944, 12970, 2410, 13, 578, 6913, 7234, 574, 420, 25, 85431, 323, 480, 39909, 1051, 4560, 311, 1304, 872, 5144, 439, 16483, 11, 719, 264, 3738, 10449, 315, 279, 8191, 11, 6197, 555, 279, 342, 3746, 23799, 11, 1561, 4356, 4235, 1189, 2265, 5000, 2816, 86638, 7197, 11, 8774, 50244, 1124, 1203, 1523, 13, 4740, 264, 1418, 433, 9508, 439, 422, 872, 4443, 323, 32465, 43839, 811, 1051, 520, 18783, 13, 19418, 814, 18167, 279, 56910, 315, 24196, 305, 6795, 1124, 30, 362, 47726, 22763, 11, 2288, 25, 1053, 279, 2930, 3552, 4396, 5622, 872, 5133, 30, 426, 392, 9894, 24923, 279, 14529, 97374, 31473, 574, 264, 42436, 15326, 7057, 25, 374, 279, 8191, 13419, 86079, 41602, 323, 4737, 603, 1139, 264, 1917, 315, 26762, 41760, 34946, 323, 27224, 5380, 791, 24162, 1101, 1047, 264, 11537, 19775, 15952, 11, 1317, 4353, 40412, 555, 41106, 25812, 25, 8334, 20628, 3828, 11, 8334, 33291, 3828, 11, 8334, 14035, 3828, 13, 2582, 7344, 430, 1288, 387, 25, 3828, 20628, 8334, 11, 3828, 61481, 8334, 11, 3828, 5334, 1461, 1203, 1578, 627, 38, 39909, 574, 220, 1644, 13, 23223, 9405, 11, 25996, 33142, 13, 8940, 269, 2041, 11, 1306, 264, 6117, 35789, 11103, 13, 1283, 1047, 6575, 439, 264, 32465, 9940, 369, 2930, 14756, 29970, 11, 1047, 5439, 9908, 320, 3902, 398, 19347, 8, 369, 578, 1561, 64874, 11, 69419, 11, 52132, 306, 11, 578, 1561, 4356, 10506, 315, 18312, 11, 323, 1561, 4356, 11, 323, 1047, 4756, 264, 14807, 315, 83426, 315, 91759, 677, 4010, 25, 578, 54501, 11346, 315, 264, 38544, 73378, 11, 555, 8690, 23672, 328, 17553, 75, 3444, 8683, 44191, 718, 13, 5414, 1176, 11775, 11, 2052, 279, 31781, 13566, 74724, 11258, 320, 53, 19787, 705, 264, 99531, 1709, 4147, 2759, 315, 813, 1772, 11529, 277, 22329, 1667, 11, 3782, 704, 1566, 10683, 11, 323, 779, 433, 574, 8530, 31352, 430, 568, 6244, 3967, 2930, 439, 1054, 1820, 12703, 3995, 32465, 893, 2029, 578, 77071, 1598, 4024, 1093, 420, 25, 1618, 574, 264, 282, 47425, 17661, 315, 1194, 682, 704, 315, 597, 2088, 449, 813, 7528, 40190, 13, 1283, 1903, 264, 57796, 2218, 28135, 1606, 568, 574, 264, 1080, 47567, 315, 308, 10, 16, 11, 459, 2362, 58580, 53423, 20207, 2678, 1824, 2496, 2987, 8486, 568, 1047, 3940, 709, 304, 220, 1049, 19, 449, 2380, 57979, 9130, 4885, 13, 480, 39909, 6476, 9141, 304, 78915, 5657, 11, 568, 22982, 9875, 11, 568, 2751, 2212, 13, 1442, 1070, 574, 264, 2579, 60547, 4219, 311, 279, 26832, 32465, 6237, 11, 568, 574, 433, 11, 477, 574, 520, 3325, 3345, 311, 433, 13, 578, 1561, 4356, 8691, 44865, 813, 17422, 17755, 449, 264, 3021, 80468, 12970, 5643, 315, 279, 3229, 430, 539, 1193, 3952, 1461, 14243, 439, 264, 16448, 20207, 719, 1101, 2663, 1461, 1054, 17627, 65923, 44877, 2029, 24150, 39337, 3258, 11, 304, 578, 6652, 3962, 11, 323, 54726, 10463, 507, 988, 11, 304, 578, 1561, 4356, 10506, 315, 18312, 11, 37475, 813, 5149, 11, 810, 477, 2753, 36387, 1461, 311, 279, 6469, 627, 644, 279, 3772, 4676, 315, 3766, 11026, 11, 449, 430, 3169, 315, 6514, 11, 480, 39909, 1053, 617, 1027, 264, 1903, 893, 13, 2030, 304, 279, 810, 53087, 1917, 315, 5000, 220, 17, 13, 15, 11, 1070, 568, 574, 11, 10374, 813, 892, 47336, 22939, 35453, 21846, 304, 279, 6170, 3857, 315, 420, 477, 430, 5000, 2816, 11, 2098, 10831, 5370, 10405, 1603, 814, 1047, 264, 6140, 311, 743, 1063, 3169, 315, 7294, 12279, 39909, 18909, 13, 1283, 574, 1093, 264, 1689, 645, 1095, 45632, 2373, 315, 7957, 3341, 8078, 627, 38, 619, 574, 264, 2204, 955, 13, 13381, 220, 1544, 13, 19048, 304, 7997, 2837, 11, 26832, 11, 3515, 33109, 505, 1561, 4356, 753, 51558, 23272, 9304, 1306, 264, 1403, 4771, 61808, 520, 14594, 26039, 13, 3005, 1550, 27102, 11, 48637, 3419, 11, 323, 30205, 37067, 21644, 430, 1364, 27470, 389, 1077, 35266, 22168, 5117, 13, 14013, 6953, 33896, 1364, 1903, 264, 836, 369, 11937, 389, 279, 5000, 439, 264, 7170, 2389, 16151, 40281, 449, 264, 17676, 1742, 13, 3005, 1047, 430, 8191, 3245, 2345, 318, 14978, 92594, 13, 19406, 11, 311, 1077, 11, 574, 264, 29827, 323, 31349, 1216, 819, 7434, 13, 1666, 264, 6721, 7061, 11, 369, 86638, 7197, 11, 902, 8983, 1924, 389, 711, 75, 1113, 279, 8866, 437, 315, 3772, 77814, 11, 1364, 3782, 4028, 439, 264, 7626, 62379, 304, 1202, 4689, 2447, 323, 4762, 1202, 28807, 55472, 13, 2030, 1243, 11, 539, 1317, 1306, 6574, 480, 39909, 11, 1364, 2163, 279, 86638, 7197, 11816, 13, 1628, 6267, 264, 2466, 9071, 389, 1077, 2324, 439, 264, 40281, 369, 279, 3297, 220, 914, 11, 220, 1049, 23, 11, 4360, 315, 578, 1561, 4356, 8691, 22168, 13, 1102, 2751, 264, 8941, 315, 6666, 719, 9508, 311, 4587, 4661, 912, 832, 627, 644, 279, 6710, 1364, 17551, 704, 1063, 315, 279, 83975, 846, 295, 2574, 1364, 1047, 8621, 922, 1077, 1877, 2324, 323, 7633, 279, 9709, 16024, 430, 4024, 449, 1694, 832, 315, 86638, 7197, 753, 1455, 19738, 16483, 13, 763, 3815, 420, 3221, 1421, 519, 367, 11, 1364, 6656, 11937, 1139, 2555, 315, 459, 8191, 39571, 349, 13, 8691, 13016, 50383, 449, 1077, 13042, 955, 85366, 19411, 11, 3995, 11, 32894, 291, 40281, 11, 42666, 389, 279, 14756, 753, 3504, 84244, 287, 304, 4950, 449, 264, 4251, 58679, 2345, 13279, 939, 398, 32614, 1077, 304, 279, 19541, 15487, 916, 6170, 3857, 13, 2468, 279, 1890, 892, 264, 2478, 315, 1077, 4846, 86638, 7197, 18105, 323, 40531, 11, 439, 1664, 439, 1077, 506, 1481, 3746, 11, 5000, 98008, 15341, 43911, 263, 11, 4024, 1306, 1077, 369, 3515, 2163, 279, 2362, 12818, 11, 4315, 1023, 2574, 627, 2170, 8191, 46820, 380, 32501, 50356, 8050, 29633, 304, 813, 220, 1049, 23, 2363, 11, 5810, 54328, 51898, 11, 279, 5000, 3727, 433, 4228, 369, 1093, 34423, 1274, 311, 1505, 832, 2500, 323, 1376, 5315, 13, 2030, 439, 2294, 439, 279, 9558, 374, 369, 4857, 10977, 11, 433, 706, 1101, 19168, 5196, 264, 25114, 14473, 315, 67094, 582, 2191, 13, 578, 17124, 3492, 11, 433, 1288, 539, 387, 25565, 11, 574, 459, 7524, 11298, 369, 24944, 8951, 2225, 67749, 323, 1008, 5105, 69513, 11, 719, 279, 8191, 374, 3025, 311, 4546, 279, 6784, 682, 279, 810, 30820, 1555, 1202, 72534, 74, 83591, 82, 315, 832, 5352, 58832, 323, 27224, 13, 24191, 315, 420, 6392, 374, 15526, 11, 8051, 539, 779, 1790, 369, 279, 1274, 1694, 490, 13883, 627, 32, 2763, 315, 420, 7528, 23701, 3137, 706, 1027, 13019, 1234, 279, 3492, 1054, 9810, 847, 63750, 64, 3738, 6651, 315, 79866, 10753, 11, 27224, 11, 6301, 84, 8862, 11, 48364, 42914, 11, 323, 28485, 430, 1063, 1274, 11, 1778, 439, 6941, 9973, 1729, 11, 889, 706, 5439, 264, 3293, 2363, 389, 279, 3917, 320, 21380, 847, 25, 1102, 753, 16729, 11, 1102, 753, 19758, 11, 323, 1102, 753, 29014, 5859, 5751, 51930, 705, 1518, 439, 342, 2808, 13, 26080, 2345, 2727, 11, 369, 2937, 2345, 4151, 433, 439, 264, 5505, 2697, 10500, 311, 387, 42945, 291, 505, 892, 311, 892, 2403, 73870, 788, 11909, 11, 9257, 49652, 7298, 11, 323, 1023, 1536, 95832, 21967, 12678, 627, 43182, 315, 279, 2930, 3137, 18815, 85431, 323, 480, 39909, 8434, 1431, 2216, 26456, 439, 1054, 9810, 847, 2476, 2586, 311, 1781, 315, 433, 13, 1102, 49101, 28485, 11, 369, 832, 3245, 11, 477, 1524, 904, 4879, 520, 28485, 13, 5810, 11, 369, 2937, 11, 374, 1148, 459, 22939, 97166, 8621, 389, 85431, 753, 5000, 2816, 25, 1054, 54834, 6261, 2029, 1115, 574, 304, 13010, 311, 264, 23900, 4652, 1364, 1047, 5439, 369, 386, 2506, 844, 14639, 82, 12053, 10506, 13, 1442, 4224, 847, 374, 13118, 1054, 2739, 5859, 1057, 10652, 2476, 1243, 264, 8982, 1180, 1093, 1054, 54834, 6261, 863, 374, 5042, 4560, 311, 2231, 459, 842, 311, 433, 627, 2746, 4400, 775, 11, 264, 41286, 287, 315, 279, 35678, 4208, 7263, 389, 555, 279, 45937, 315, 85431, 323, 480, 39909, 1288, 3041, 603, 264, 43120, 6945, 315, 1268, 264, 1912, 315, 6062, 25530, 1274, 13375, 5694, 304, 89614, 10425, 315, 279, 3061, 552, 11401, 994, 814, 4024, 2930, 304, 220, 1049, 23, 13, 578, 14599, 12205, 315, 4443, 3769, 2561, 2930, 1903, 420, 4652, 3284, 13, 1442, 499, 1051, 311, 1194, 704, 1475, 5117, 1772, 323, 5000, 29654, 1934, 323, 4068, 4617, 3515, 311, 656, 449, 85431, 323, 480, 39909, 304, 220, 1049, 23, 11, 499, 1053, 1505, 6261, 449, 810, 1109, 220, 18, 11, 931, 6959, 13, 5810, 11, 358, 617, 66185, 433, 1523, 627, 85148, 85431, 5828, 1431, 11622, 10882, 449, 1148, 1364, 1511, 311, 656, 369, 264, 5496, 13, 32567, 291, 369, 459, 4652, 922, 86638, 7197, 430, 10837, 304, 279, 6664, 220, 868, 11, 220, 1049, 22, 11, 4360, 315, 1561, 4356, 14756, 11, 1364, 1071, 1364, 7170, 3309, 1274, 1364, 574, 264, 27102, 11326, 13, 1054, 3923, 1097, 358, 10171, 311, 2019, 11, 3451, 40, 990, 369, 264, 3772, 2427, 42573, 16406, 304, 1561, 4356, 45258, 863, 362, 2478, 2919, 1306, 279, 4652, 3782, 704, 11, 1364, 2322, 480, 39909, 520, 832, 315, 279, 9875, 568, 574, 2744, 20256, 369, 308, 10, 16, 627, 644, 1077, 3350, 5352, 315, 279, 4717, 369, 86638, 7197, 11, 85431, 3952, 9395, 520, 279, 3552, 25, 1054, 77, 10, 16, 6576, 32602, 480, 39909, 5762, 5590, 4920, 264, 87180, 3703, 5527, 1551, 449, 13179, 27474, 323, 23317, 15039, 11, 9964, 45544, 315, 3776, 15489, 7013, 33692, 287, 505, 279, 653, 2208, 291, 37204, 315, 813, 3778, 82700, 78885, 11, 3339, 2771, 279, 41534, 31348, 7724, 2751, 439, 1690, 38066, 439, 814, 4460, 2029, 1102, 574, 1120, 279, 3169, 315, 3245, 430, 1047, 1903, 85431, 779, 5526, 4315, 86638, 7197, 753, 13016, 25, 1054, 28708, 5590, 863, 1879, 1908, 459, 70954, 37374, 26, 1054, 25506, 45544, 315, 3776, 15489, 7013, 863, 1071, 264, 30686, 10255, 47747, 48259, 24923, 279, 32465, 28362, 26, 279, 836, 16313, 287, 315, 3778, 82700, 11, 264, 6883, 25103, 27294, 323, 4483, 306, 1065, 316, 774, 826, 11, 12090, 480, 39909, 11, 520, 220, 1644, 11, 574, 32623, 24923, 813, 1667, 627, 38, 675, 7197, 11, 433, 1288, 387, 10555, 11, 374, 4315, 810, 1109, 264, 21030, 6732, 18538, 555 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 3202, 10289, 31930, 68641, 220, 679, 24, 29257, 5513, 11, 9303, 612, 3216, 5065, 5377, 826, 690, 387, 6177, 304, 420, 4652, 323, 4822, 33519, 311, 433, 627, 3202, 10289, 57544, 12589, 220, 679, 24, 1389, 220, 508, 198, 91, 5520, 8266, 8651, 2822, 11406, 16980, 7511, 91, 3905, 47233, 8925, 8651, 52, 5683, 277, 43458, 10289, 57544, 8925, 7511, 91, 7749, 2360, 315, 67751, 8651, 2636, 410, 13666, 70620, 8, 7511, 91, 678, 315, 279, 15781, 8651, 3214, 45595, 11, 25538, 481, 612, 7089, 23946, 7511, 91, 12524, 10260, 8651, 22993, 23946, 7511, 91, 11425, 14577, 8651, 36724, 3475, 14, 50359, 14, 42084, 14, 32502, 56573, 7511, 3202, 10289, 23946, 220, 679, 24, 1389, 220, 508, 54038, 198, 15571, 5513, 12280, 82988, 0, 12250, 10289, 6011, 374, 2133, 311, 4984, 704, 264, 6908, 1396, 315, 2683, 10708, 13, 2100, 7931, 1884, 889, 617, 57636, 311, 3719, 10289, 25538, 481, 11, 3804, 45595, 11, 17863, 29598, 11, 32724, 45595, 11, 1856, 52775, 35238, 11, 6785, 1543, 11, 14919, 11, 5871, 40, 11, 5492, 12542, 11, 8245, 15516, 47317, 10289, 11, 1838, 651, 72, 414, 40964, 11, 19903, 612, 11452, 25538, 481, 5099, 7032, 649, 3881, 369, 12250, 10289, 31626, 6709, 994, 433, 19786, 627, 70620, 7253, 220, 2636, 410, 10, 12250, 10289, 23946, 527, 2133, 311, 387, 10409, 555, 49989, 12822, 311, 7380, 872, 15438, 8070, 304, 4379, 9476, 13, 17586, 904, 10026, 6811, 11, 279, 8762, 323, 8954, 1772, 360, 1821, 649, 1935, 961, 304, 420, 86773, 43458, 10289, 57544, 220, 679, 24, 13, 1666, 824, 279, 12250, 10289, 31930, 68641, 5513, 11450, 11, 220, 508, 4, 67751, 690, 387, 20816, 369, 8954, 2683, 50433, 13, 578, 6727, 13186, 315, 13324, 21736, 5361, 20101, 902, 584, 617, 11075, 398, 2728, 304, 25117, 45546, 3882, 627, 10714, 86773, 43458, 10289, 6011, 198, 3202, 6616, 41737, 13656, 369, 86773, 43458, 10289, 57544, 323, 57204, 8925, 13, 578, 2383, 13627, 9266, 315, 12250, 3314, 374, 86773, 43458, 10289, 13, 25531, 264, 2683, 304, 12250, 10289, 6011, 374, 264, 1633, 1695, 6776, 1606, 433, 374, 279, 1054, 43, 33481, 10289, 11994, 304, 279, 4435, 11453, 11699, 26097, 374, 31183, 304, 279, 28471, 28447, 13, 763, 5370, 10289, 95686, 1093, 29872, 3409, 22967, 11, 61892, 14722, 22967, 11, 95816, 332, 22967, 11, 362, 33050, 22967, 11, 31663, 26047, 22967, 11, 8909, 276, 10426, 22967, 11, 2394, 352, 12944, 73, 22967, 323, 47247, 587, 21888, 324, 95686, 279, 4183, 11426, 617, 311, 2804, 872, 22006, 627, 3202, 10289, 31626, 6709, 12589, 198, 791, 1396, 315, 4827, 323, 5190, 60697, 10093, 527, 2133, 311, 387, 10409, 1555, 420, 12250, 11216, 31626, 6709, 220, 679, 24, 527, 5361, 13, 763, 279, 3770, 8316, 14, 27296, 11, 279, 11426, 617, 311, 990, 627, 91, 34, 58140, 47997, 6011, 320, 55246, 8, 7511, 91, 20989, 2998, 17795, 14299, 7511, 91, 33749, 90894, 21021, 320, 1741, 46, 8, 7511, 91, 35075, 10734, 14299, 320, 39, 7532, 8, 7511, 91, 20989, 47664, 323, 94938, 320, 17268, 835, 8, 7511, 91, 62569, 55556, 10289, 320, 97093, 8, 7511, 91, 33749, 38256, 380, 14299, 320, 50207, 8, 7511, 91, 1090, 8677, 6011, 320, 926, 8, 7511, 91, 36, 32107, 4206, 2436, 35622, 320, 36, 3387, 8, 7511, 91, 20989, 5546, 11994, 7511, 91, 52, 5683, 277, 43458, 6785, 5475, 7511, 91, 1360, 65427, 42494, 25538, 370, 24094, 320, 47, 1741, 8, 7511, 91, 20989, 47997, 8068, 320, 50, 964, 8, 7511, 91, 29303, 11452, 33115, 315, 10289, 7511, 3202, 10289, 31648, 11, 25538, 481, 612, 7432, 69124, 3225, 14577, 198, 1271, 3881, 369, 12250, 45878, 10289, 323, 15516, 10289, 26361, 42494, 25538, 370, 24094, 67751, 279, 25689, 1821, 2011, 617, 279, 3770, 2427, 2116, 41734, 4787, 13, 1666, 824, 279, 12250, 10289, 25538, 481, 31930, 68641, 5513, 11, 279, 11801, 690, 387, 7376, 555, 279, 3109, 7510, 439, 5246, 439, 3284, 627, 2170, 5682, 1821, 11, 422, 499, 527, 3411, 369, 12250, 10289, 29257, 5513, 23946, 11, 1243, 701, 14584, 46160, 1288, 387, 98465, 14, 605, 10, 17, 14, 5783, 14, 38182, 14, 42090, 753, 8547, 505, 264, 39764, 4580, 477, 12374, 13, 2100, 11, 7931, 11, 1884, 889, 15575, 279, 3485, 46160, 649, 3881, 369, 12250, 10289, 17863, 29598, 14, 31648, 14, 25538, 481, 7032, 13, 65538, 649, 636, 279, 4686, 2038, 1555, 279, 4033, 11801, 627, 3202, 10289, 13381, 29108, 198, 12, 578, 8187, 4325, 369, 32177, 311, 3881, 374, 220, 972, 1667, 627, 12, 27697, 8582, 4325, 4017, 369, 8954, 32177, 374, 220, 914, 1667, 627, 12, 220, 1313, 1667, 374, 279, 8582, 4325, 4017, 369, 8762, 13324, 627, 12, 13381, 43685, 369, 7683, 14, 790, 11426, 374, 220, 2304, 1667, 323, 507, 5002, 374, 220, 2839, 1667, 627, 50909, 449, 279, 14584, 46160, 11, 11426, 2011, 1101, 617, 2631, 7106, 10886, 13, 2435, 527, 439, 11263, 627, 12, 22147, 25, 220, 8953, 10166, 320, 6330, 10166, 369, 4015, 340, 12, 16923, 25, 32025, 220, 1135, 87822, 198, 12, 42871, 1389, 220, 4643, 356, 76, 320, 790, 1389, 220, 2813, 356, 76, 8, 612, 55654, 315, 220, 20, 356, 76, 198, 12, 22147, 1389, 220, 9756, 356, 76, 320, 10288, 356, 76, 369, 4015, 340, 12, 16923, 1389, 3468, 220, 1272, 735, 5981, 198, 3202, 10289, 57544, 42858, 198, 12, 1666, 5682, 1821, 649, 4232, 15438, 12250, 10289, 94708, 34215, 1555, 279, 4033, 3997, 627, 12, 30402, 11426, 439, 10289, 25538, 481, 612, 40964, 25538, 481, 690, 636, 2343, 304, 1990, 19766, 13, 15830, 15, 12, 220, 2366, 410, 14, 4235, 323, 12239, 2343, 315, 19766, 13, 8273, 15, 14, 7058, 12, 2140, 14846, 1884, 889, 527, 2133, 311, 990, 439, 3804, 45595, 320, 14137, 8, 690, 636, 2343, 315, 19766, 13, 19306, 15, 12, 220, 1958, 11, 4728, 24572, 323, 24749, 2343, 315, 19766, 13, 12819, 15, 14, 7058, 825, 14846, 2011, 12391, 872, 4686, 11005, 279, 6727, 20101, 902, 690, 387, 13375, 555, 279, 6727, 13093, 315, 12250, 10289, 6011, 13, 62525, 2011, 16136, 304, 1855, 4883, 902, 374, 2728, 3770, 439, 1664, 439, 814, 1288, 2804, 1664, 304, 40035, 627, 12, 34991, 72594, 198, 12, 28479, 67667, 3475, 198, 12, 28479, 55340, 3475, 198, 12, 4060, 5890, 3475, 198, 12, 12051, 56573, 198, 52, 5683, 277, 43458, 10289, 7473, 45546, 198, 3607, 311, 9502, 8522, 369, 12250, 10289, 57544, 220, 679, 24, 1555, 3060, 53374, 477, 18076, 8429, 20362, 13, 2140, 14846, 2011, 15575, 682, 279, 9477, 311, 387, 22785, 369, 48429, 477, 72908, 449, 279, 3851, 1376, 13, 25929, 389, 11, 11426, 649, 1440, 279, 1212, 323, 1566, 13003, 311, 3881, 1555, 279, 4033, 33789, 627, 4438, 311, 21194, 8267, 5380, 12, 98789, 311, 3881, 369, 12250, 10289, 3216, 5065, 31626, 6709, 11, 814, 2011, 1833, 279, 3770, 2427, 2116, 3094, 555, 3094, 10537, 627, 12, 19545, 279, 4033, 3997, 315, 12250, 10289, 6011, 627, 12, 6122, 311, 99455, 5874, 323, 4299, 389, 279, 11801, 499, 527, 5644, 311, 3881, 627, 12, 4557, 279, 4686, 3878, 323, 4787, 627, 12, 1442, 17446, 4299, 389, 1054, 29597, 6074, 113068, 12, 362, 502, 4384, 3851, 1376, 3321, 690, 387, 9107, 389, 701, 6812, 627, 12, 11502, 682, 701, 3649, 2085, 9564, 904, 4384, 79640, 627, 12, 1666, 824, 279, 11801, 11, 8298, 279, 48548, 11236, 315, 9477, 439, 824, 15696, 627, 12, 1442, 1070, 374, 264, 1205, 369, 2930, 8323, 11, 1120, 2343, 279, 3851, 11307, 627, 12, 4740, 312, 58954, 315, 682, 279, 3649, 11, 15596, 389, 279, 9502, 3215, 627, 12, 12040, 279, 1194, 412, 315, 279, 3851, 1376, 627, 4438, 311, 4232, 7473, 3459, 5380, 12, 2140, 14846, 1515, 389, 311, 279, 4033, 3997, 627, 12, 6122, 311, 279, 57544, 2199, 627, 12, 4557, 27461, 279, 11801, 323, 1817, 701, 41734, 627, 12, 1442, 17446, 11, 15596, 389, 279, 7473, 8745, 2723, 627, 12, 22748, 279, 1376, 323, 15866, 682, 659, 12, 1617, 10185, 9477, 311, 433, 627, 12, 86248, 279, 2686, 389, 279, 1948, 315, 279, 35498, 627, 12, 16110, 433, 304, 264, 14373, 1772, 2054, 627, 12, 7473, 11307, 369, 32177, 374, 19766, 13, 3443, 14, 7058, 67794, 19365, 315, 12250, 10289, 198, 791, 1176, 323, 43780, 3245, 1475, 15022, 7151, 20646, 11426, 2011, 656, 374, 311, 1440, 279, 13155, 315, 24481, 9539, 13, 4418, 1431, 11196, 1618, 584, 9539, 3984, 499, 449, 279, 12250, 10289, 25538, 481, 33410, 19365, 323, 1023, 7032, 34102, 1296, 12912, 1618, 13, 1789, 220, 3101, 15785, 11, 279, 11426, 1288, 9604, 16945, 955, 4860, 902, 6782, 3116, 2671, 505, 902, 499, 617, 311, 5268, 832, 3072, 439, 279, 4495, 4320, 13, 9062, 3488, 24266, 832, 1906, 627, 52, 5683, 277, 43458, 10289, 33410, 2467, 1800, 6938, 198, 791, 7510, 315, 86773, 43458, 10289, 6011, 19786, 279, 14321, 11989, 1603, 220, 605, 311, 220, 868, 2919, 369, 279, 7151, 13, 2052, 279, 13324, 690, 387, 3025, 311, 8745, 2467, 1800, 6938, 12250, 10289, 1555, 279, 4033, 3997, 477, 775, 499, 4232, 1555, 3770, 2728, 7902, 13, 3296, 16661, 279, 9322, 753, 836, 323, 3851, 1396, 14, 2457, 315, 7342, 25689, 1821, 649, 636, 279, 12250, 10289, 25538, 481, 2467, 1800, 6938, 14, 12250, 10289, 31648, 2467, 1800, 6938, 627, 22993, 25538, 481, 14, 31648, 5837, 657, 58641, 315, 12250, 198, 11631, 279, 4686, 12250, 10289, 5837, 657, 58641, 29250, 304, 45080, 304, 279, 1523, 8128, 13, 65538, 3838, 1304, 264, 6300, 892, 2007, 323, 3025, 311, 65836, 279, 549, 4505, 5837, 657, 58641, 13650, 2085, 3775, 13, 7570, 264, 3254, 8712, 499, 3194, 311, 10772, 11, 1070, 374, 264, 19463, 315, 10371, 810, 1396, 315, 4860, 389, 279, 8712, 499, 2163, 13, 7557, 2771, 11157, 430, 499, 9960, 682, 279, 20081, 13650, 13, 2684, 374, 264, 8389, 36024, 369, 279, 5076, 4320, 13, 2100, 11, 13324, 1456, 311, 4320, 4495, 11503, 304, 279, 3488, 5684, 13, 763, 264, 18338, 11, 584, 617, 2728, 499, 279, 13650, 3235, 449, 7151, 4785, 425, 13, 4740, 9954, 315, 701, 7151, 18459, 11, 1456, 311, 16136, 304, 12250, 10289, 8267, 3475, 627, 12, 3331, 45080, 1389, 220, 2075, 49195, 198, 12, 3331, 33025, 1389, 220, 2075, 49195, 198, 12, 48224, 950, 612, 38895, 37083, 3475, 1389, 220, 2075, 49195, 198, 12, 38895, 98087, 3993, 14, 27857, 287, 14, 22107, 3475, 1389, 220, 2075, 49195, 198, 3202, 10289, 16225, 18343, 3161, 38343, 198, 11631, 279, 8155, 220, 20, 1667, 12250, 10289, 18343, 7437, 323, 1456, 311, 2867, 1124, 1306, 9954, 315, 701, 7151, 18459, 13, 578, 810, 499, 2867, 279, 12250, 10289, 5008, 18343, 11, 433, 690, 387, 4228, 369, 499, 311, 7417, 701, 892, 6373, 7512, 13, 6104, 2133, 1555, 279, 12250, 10289, 30013, 18343, 1505, 704, 279, 5361, 3115, 11763, 4860, 323, 1304, 264, 6300, 5296, 13, 6122, 1555, 1884, 3062, 4860, 1603, 832, 6596, 315, 279, 7151, 13, 763, 279, 1523, 8128, 11, 584, 10212, 1063, 315, 279, 12250, 10289, 14905, 3475, 323, 3488, 16064, 902, 649, 387, 24174, 1949, 315, 2853, 627, 12, 12250, 10289, 16225, 18343, 304, 45080, 198, 12, 12250, 10289, 33410, 16225, 18343, 198, 12, 12250, 10289, 25538, 481, 18343, 304, 45080, 11612, 8745, 198, 14809, 74435, 18312, 369, 12250, 10289, 23946, 198, 2213, 62932, 2011, 387, 1633, 16994, 304, 19301, 279, 7252, 12250, 10289, 33410, 13002, 430, 814, 527, 2133, 311, 10772, 13, 578, 4007, 3769, 1288, 3504, 682, 279, 48704, 58641, 13650, 323, 2011, 6847, 49839, 13, 12040, 264, 1427, 520, 1063, 315, 279, 6603, 584, 3984, 1618, 627, 12, 12250, 10289, 25538, 481, 57544, 33410, 13002, 555, 48654, 7911, 66233, 8925, 198, 12, 12250, 10289, 362, 847, 60521, 320, 19717, 481, 8, 31930, 68641, 393, 21042, 15605, 555, 21317, 198, 12, 86773, 43458, 3331, 33025, 25, 2468, 264, 8444, 685, 555, 432, 11079, 66233, 8925, 198, 2213, 62932, 690, 617, 264, 6300, 4623, 389, 872, 19089, 4860, 304, 279, 7151, 5684, 13, 2100, 11, 1306, 28965, 315, 22559, 5422, 11, 11426, 649, 733, 1555, 433, 13, 26504, 682, 279, 11503, 499, 8774, 4495, 477, 539, 13, 2100, 430, 690, 499, 617, 459, 4623, 315, 264, 5439, 7151, 5573, 627, 3202, 10289, 17863, 29598, 14, 31648, 14, 25538, 481, 20223, 4206, 220, 679, 24, 198, 11769, 1060, 279, 7626, 315, 12250, 10289, 6011, 27635, 1063, 45379, 5573, 4184, 311, 5699, 24219, 13, 578, 13324, 2011, 9966, 15785, 6273, 311, 477, 810, 1109, 279, 2218, 12250, 10289, 20223, 1022, 1906, 13, 13266, 11426, 889, 5662, 279, 5439, 7151, 45379, 5573, 690, 387 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 14262, 311, 279, 3838, 315, 3165, 1559, 264, 3544, 1608, 22660, 430, 4024, 1234, 459, 1524, 8294, 2316, 11, 279, 4349, 94565, 13, 1102, 574, 389, 264, 7155, 11, 3389, 6664, 13658, 304, 279, 18526, 6761, 11935, 6424, 315, 13131, 47957, 430, 393, 13, 356, 13, 3165, 1559, 505, 53449, 11, 1561, 4987, 23782, 6563, 55786, 832, 323, 682, 389, 264, 20217, 1598, 2577, 26429, 526, 11013, 2942, 13, 1283, 42423, 3201, 27219, 1403, 1023, 35938, 304, 264, 2840, 2836, 39036, 14130, 311, 387, 79743, 279, 220, 5926, 20, 6126, 300, 1122, 66255, 10995, 33597, 13, 578, 4349, 94565, 574, 13234, 555, 279, 4987, 6825, 13581, 11, 6832, 16665, 1380, 11986, 994, 8223, 34268, 3026, 320, 6836, 927, 279, 4325, 315, 82497, 8, 1051, 18719, 311, 1376, 264, 71513, 1912, 555, 12656, 8270, 320, 68676, 12667, 315, 279, 13581, 8, 304, 220, 9674, 24, 13, 578, 1176, 10517, 25992, 469, 13539, 3013, 347, 315, 6126, 36259, 574, 5762, 555, 279, 13581, 304, 220, 9378, 16, 323, 433, 9731, 311, 420, 1938, 627, 791, 4349, 94565, 753, 836, 574, 78718, 304, 6287, 315, 220, 7028, 23, 1120, 1603, 279, 4857, 8220, 9954, 13, 578, 502, 21967, 574, 25660, 264, 32961, 1306, 1274, 1051, 6656, 3201, 505, 279, 279, 10517, 76541, 921, 10020, 3814, 279, 3766, 1060, 13, 1102, 1193, 3952, 45314, 5672, 311, 9429, 420, 8056, 4857, 1389, 279, 8706, 304, 13131, 47957, 13, 578, 1925, 14321, 574, 220, 5245, 555, 220, 4364, 7693, 11, 279, 6566, 9960, 220, 1135, 865, 220, 1272, 7693, 323, 279, 8582, 18537, 11, 902, 1436, 10954, 220, 17, 11, 931, 11, 10837, 1314, 4883, 279, 9358, 35589, 372, 13, 1102, 574, 13517, 26253, 430, 433, 1053, 10954, 220, 605, 11, 931, 11, 719, 433, 2646, 5115, 2322, 430, 31293, 13, 578, 2362, 4987, 6825, 4857, 574, 70209, 311, 4156, 279, 502, 4857, 304, 39224, 8078, 8761, 323, 1053, 387, 28379, 279, 20277, 1994, 372, 627, 791, 5165, 469, 13539, 3013, 347, 5762, 520, 279, 4349, 94565, 15196, 67, 505, 1202, 39612, 67482, 315, 71513, 7999, 1652, 380, 12301, 1233, 11, 523, 10020, 11, 323, 7200, 320, 1347, 395, 323, 1579, 1974, 13961, 8, 47603, 311, 279, 2068, 13, 763, 220, 7028, 21, 264, 10517, 39679, 14130, 574, 15109, 449, 1057, 1633, 1866, 6625, 6917, 41798, 452, 616, 648, 11220, 4749, 10292, 287, 279, 38508, 627, 644, 220, 5926, 20, 11, 1306, 2225, 87015, 554, 323, 71654, 11, 264, 66255, 10995, 47633, 574, 5343, 304, 279, 469, 13539, 3013, 347, 449, 17971, 612, 51838, 315, 21972, 11, 889, 13234, 279, 2577, 26429, 526, 11013, 2942, 6883, 11, 8405, 7083, 3391, 304, 8515, 38508, 5636, 6761, 323, 15310, 60082, 13, 2684, 574, 1120, 264, 2678, 2339, 1389, 433, 574, 311, 387, 7086, 578, 2577, 26429, 526, 19134, 323, 75524, 1436, 1193, 1005, 872, 1646, 13, 2468, 279, 9954, 315, 279, 14130, 433, 8111, 430, 13324, 1253, 617, 1027, 3984, 449, 264, 502, 2577, 26429, 526, 1611, 27466, 68, 1646, 320, 939, 10395, 1093, 459, 5150, 712, 26429, 526, 705, 264, 502, 1584, 369, 430, 1060, 13, 9176, 79306, 3463, 264, 66255, 10995, 10937, 574, 539, 304, 10494, 449, 279, 7060, 32006, 315, 279, 4987, 6825, 13581, 13, 578, 27535, 34114, 8691, 5068, 304, 6841, 220, 5926, 19, 315, 1202, 35977, 5369, 311, 279, 4987, 6825, 10937, 439, 1054, 497, 34431, 315, 264, 18273, 67409, 11, 832, 11, 430, 4762, 2478, 1053, 1755, 311, 1505, 389, 264, 4987, 6825, 9899, 2029, 2435, 20536, 279, 10015, 1934, 449, 264, 45607, 1245, 14162, 11, 1054, 2181, 8625, 369, 48772, 288, 315, 279, 25826, 40649, 323, 17293, 753, 4960, 79, 311, 4546, 872, 8349, 1603, 279, 4987, 6825, 13581, 2029, 1102, 574, 11, 4869, 264, 2294, 2450, 449, 279, 27219, 2380, 11751, 1821, 505, 682, 4028, 279, 3224, 27260, 304, 4156, 315, 264, 13734, 304, 13937, 315, 220, 18, 11, 2636, 627, 37225, 22865, 9405, 323, 9408, 393, 13, 356, 13, 3165, 1559, 320, 47, 3035, 88, 705, 6052, 311, 813, 7342, 1614, 304, 220, 5926, 22, 320, 69666, 13942, 279, 22279, 304, 220, 5926, 21, 8, 311, 58583, 279, 2316, 13, 1283, 1243, 4024, 1203, 311, 1203, 11230, 304, 220, 5926, 22, 323, 264, 11999, 2316, 574, 3779, 304, 220, 7285, 20, 627, 3112, 1148, 315, 279, 23055, 709, 304, 220, 5926, 20, 30, 36016, 433, 753, 1120, 922, 279, 13946, 1389, 311, 279, 5310, 269, 733, 279, 20016, 8839, 13, 4491, 473, 13, 473, 13, 473, 874, 505, 31714, 28253, 320, 51, 363, 647, 31714, 8, 2011, 617, 1027, 1063, 28790, 16054, 2875, 555, 1120, 1403, 3585, 311, 279, 28812, 393, 13, 356, 13, 3165, 1559, 13, 49932, 1431, 5101, 430, 568, 17427, 279, 2010, 88, 36394, 304, 279, 18249, 3074, 1917, 1093, 279, 13946, 13, 2684, 1051, 912, 810, 6821, 315, 1461, 1694, 9277, 304, 904, 14130, 430, 358, 1436, 4170, 709, 304, 3060, 279, 1194, 3772, 477, 304, 279, 4987, 6825, 7576, 627, 3947, 1051, 1403, 13422, 315, 264, 473, 13, 473, 874, 430, 358, 43522, 13, 77795, 11, 1405, 568, 574, 32230, 369, 264, 11013, 2942, 6727, 520, 279, 17366, 18231, 5046, 578, 10563, 6574, 5762, 304, 279, 4323, 39122, 10913, 11166, 11, 5587, 220, 5926, 23, 13, 578, 2132, 11, 264, 11013, 2942, 7200, 10512, 505, 220, 5926, 24, 11, 1405, 568, 574, 279, 61856, 315, 279, 39995, 2053, 2521, 34202, 66255, 10995, 17366, 13, 15148, 568, 279, 4538, 315, 279, 11495, 26952, 473, 874, 30, 578, 893, 889, 374, 1071, 311, 617, 69375, 279, 24670, 33389, 2606, 5064, 304, 8494, 449, 813, 1403, 4323, 39122, 39995, 2053, 2521, 34202, 13, 15903, 3495, 13533, 539, 11, 719, 7344, 568, 574, 264, 12976, 627, 2127, 346, 4720, 7576, 1501, 264, 53865, 473, 874, 505, 4987, 4323, 39122, 9405, 220, 9367, 22, 323, 8636, 304, 220, 6280, 22, 13, 4435, 5111, 220, 16, 7576, 617, 264, 53865, 473, 874, 11, 9405, 304, 220, 9367, 22, 11, 6832, 12506, 16064, 1047, 813, 30747, 439, 264, 2606, 1450, 45239, 505, 39995, 2053, 2521, 34202, 11, 889, 574, 9405, 320, 438, 594, 4591, 8, 304, 4323, 39122, 13, 16910, 433, 387, 30, 358, 7070, 2019, 433, 753, 264, 1695, 6140, 430, 433, 753, 279, 1890, 473, 473, 874, 430, 374, 31474, 279, 39995, 2053, 2521, 66255, 10995, 17366, 13, 2030, 374, 568, 279, 473, 13, 473, 13, 473, 874, 505, 31714, 28253, 11, 889, 574, 23055, 709, 304, 279, 220, 5926, 20, 2577, 26429, 526, 6126, 300, 1122, 66255, 10995, 19134, 30, 3011, 374, 279, 53474, 16579, 18160, 3488, 13, 15148, 568, 3318, 520, 264, 2606, 304, 279, 31714, 28253, 430, 1060, 30, 12334, 719, 4860, 323, 87015, 554, 1389, 912, 2847, 62124, 627, 40, 1550, 11, 4869, 10299, 311, 25539, 279, 4948, 2035, 34529, 11, 622, 13, 362, 13, 74289, 315, 27109, 65479, 11, 32227, 555, 11677, 13, 763, 459, 46305, 2778, 459, 91706, 74289, 574, 1071, 311, 617, 10862, 279, 6126, 300, 1122, 19134, 369, 264, 22380, 323, 430, 568, 574, 46304, 994, 568, 574, 7376, 23055, 709, 13, 320, 69594, 51028, 13690, 61063, 11, 220, 1313, 6841, 220, 6393, 20, 570, 622, 13, 362, 13, 74289, 8220, 4948, 304, 279, 220, 5926, 20, 48854, 323, 574, 6273, 2132, 304, 279, 87940, 3857, 1193, 832, 1486, 4920, 279, 13946, 32602, 58371, 505, 10780, 11, 4987, 8494, 627, 30287, 480, 46104, 11, 3229, 323, 18249, 3074, 44068, 11, 11007, 430, 91706, 574, 13118, 622, 362, 74289, 11, 1054, 7098, 5584, 477, 28686, 74289, 1053, 617, 311, 387, 7957, 74289, 4562, 315, 279, 4892, 21972, 1183, 309, 3195, 66255, 10995, 17366, 13, 1283, 574, 264, 4333, 315, 393, 13, 356, 13, 3165, 1559, 323, 814, 2225, 46368, 3871, 505, 21972, 311, 13131, 47957, 304, 220, 5926, 20, 311, 3810, 279, 19134, 13, 2876, 2771, 922, 279, 1023, 1667, 13, 1283, 12439, 15038, 2212, 921, 1900, 6798, 14132, 13, 20524, 376, 799, 3165, 1559, 11, 75786, 753, 57896, 11, 27569, 74289, 17136, 872, 3838, 3629, 323, 3930, 52189, 449, 3165, 1559, 13, 358, 4344, 4661, 6928, 430, 91706, 574, 813, 30499, 13, 358, 1781, 568, 574, 14183, 311, 439, 91706, 994, 358, 30147, 1063, 4892, 21972, 1183, 309, 3195, 3697, 1203, 304, 279, 220, 3753, 15, 82, 49216, 30287, 3779, 11, 1054, 2181, 5084, 430, 2225, 3165, 1559, 323, 74289, 1051, 21190, 311, 3810, 279, 48854, 1389, 682, 17057, 555, 17971, 82, 13, 9454, 17971, 574, 1071, 311, 617, 29786, 430, 3165, 1559, 574, 279, 1888, 2851, 568, 1047, 3596, 6755, 323, 1053, 617, 264, 2466, 6140, 315, 11230, 323, 28932, 1461, 311, 3810, 279, 19134, 13, 1442, 3165, 1559, 2834, 11, 568, 8434, 1431, 3596, 20753, 311, 1505, 2500, 2851, 311, 12192, 279, 2577, 26429, 526, 13, 7957, 74289, 11, 1694, 813, 4333, 4762, 4024, 3235, 439, 264, 2132, 5873, 323, 304, 2144, 574, 264, 3451, 42836, 5352, 24535, 1283, 3782, 4948, 13, 1102, 5084, 568, 1243, 29329, 1455, 315, 813, 892, 311, 279, 4892, 21972, 1183, 309, 3195, 66255, 10995, 17366, 11, 304, 2144, 814, 16957, 264, 14975, 5226, 5246, 1306, 49216, 2181, 5992, 1093, 91706, 18538, 279, 4892, 21972, 1183, 309, 3195, 7200, 539, 1317, 1306, 813, 25012, 304, 279, 220, 5926, 20, 19134, 13, 622, 362, 74289, 1903, 279, 11879, 311, 4987, 6825, 3131, 810, 304, 220, 5926, 23, 323, 574, 1578, 9277, 304, 279, 87940, 3857, 25270, 4948, 13, 1283, 3287, 1431, 6381, 304, 279, 1948, 3116, 315, 279, 22279, 3857, 315, 430, 1060, 11, 719, 568, 2643, 539, 617, 10862, 13, 1102, 753, 5115, 3284, 430, 753, 91706, 31474, 304, 279, 220, 7285, 18, 10512, 627, 17111, 763, 578, 4783, 198, 644, 220, 7285, 21, 279, 4349, 94565, 574, 24788, 291, 311, 279, 5015, 555, 4027, 13, 358, 1624, 2111, 1139, 279, 39104, 311, 20328, 952, 279, 6371, 315, 279, 24499, 2201, 13, 578, 2254, 356, 3711, 2646, 16846, 311, 856, 1715, 323, 4987, 6825, 13581, 11, 8051, 26455, 1063, 1520, 11, 3287, 1431, 8312, 904, 5217, 2038, 13, 2684, 574, 912, 3335, 304, 279, 7446, 753, 315, 264, 1934, 315, 459, 4033, 26981, 11, 477, 1524, 422, 87850, 574, 24740, 13, 3092, 38141, 430, 433, 574, 36192, 98988, 4250, 387, 38360, 13, 53466, 1070, 8111, 4400, 1053, 387, 18661, 555, 279, 7980, 439, 433, 574, 1234, 53142, 11, 719, 574, 1070, 1063, 1023, 47094, 369, 4423, 311, 8395, 433, 1523, 30, 362, 45286, 3935, 839, 11013, 2942, 28790, 11, 358, 10712, 433, 11, 719, 499, 1288, 2744, 1427, 3345, 311, 2162, 627, 2181, 574, 5068, 304, 578, 7793, 355, 11, 27535, 220, 1187, 5587, 11, 220, 7285, 21, 430, 279, 4027, 574, 1176, 14000, 555, 264, 18083, 435, 18288, 11, 264, 32981, 889, 5602, 16603, 5108, 505, 279, 1203, 9309, 315, 279, 4349, 94565, 6566, 520, 220, 605, 25, 868, 309, 13, 578, 17035, 574, 35408, 323, 279, 4027, 84972, 11721, 6288, 11, 719, 279, 4027, 436, 3359, 56651, 627, 5159, 3495, 1139, 279, 4027, 58646, 279, 2768, 2038, 627, 16, 8, 578, 4027, 574, 279, 1455, 6129, 304, 13131, 47957, 304, 33517, 1667, 627, 17, 8, 578, 4027, 574, 11352, 555, 279, 32981, 18083, 435, 18288, 889, 5602, 16603, 30456, 279, 6566, 6558, 3221, 279, 6278, 315, 279, 24024, 7147, 11, 1405, 433, 753, 5918, 927, 279, 816, 6172, 2176, 24076, 5613, 287, 627, 18, 8, 9220, 55912, 3536, 11721, 11, 719, 1051, 64788, 291, 555, 8009, 3090, 7410, 323, 264, 24981, 6463, 700, 398, 384, 2352, 398, 10160, 627, 19, 8, 6785, 1543, 6688, 709, 389, 279, 4349, 94565, 994, 814, 5602, 433, 574, 75323, 311, 3665, 323, 38626, 389, 279, 20277, 1994, 372, 627, 20, 8, 25218, 27219, 4330, 4520, 315, 279, 31188, 279, 4349, 94565, 11, 264, 23162, 323, 15730, 16023, 4147, 4857, 11, 574, 76993, 627, 21, 8, 220, 868, 11, 931, 7693, 315, 5818, 4632, 320, 93834, 315, 25719, 299, 5997, 360, 974, 8, 49858, 279, 4027, 627, 22, 8, 82910, 29485, 11, 889, 1047, 82280, 279, 20277, 1994, 372, 369, 279, 1566, 30335, 4038, 11, 1101, 5675, 264, 502, 7083, 18, 11, 931, 11104, 10085, 6329, 320, 37310, 648, 8, 13257, 323, 7083, 22, 11, 931, 315, 1023, 7241, 13, 1115, 574, 872, 1566, 2046, 304, 279, 4349, 94565, 449, 13131, 47957, 3383, 817, 1392, 12604, 323, 4987, 6825, 13581, 4737, 927, 627, 23, 8, 578, 4349, 94565, 323, 8970, 574, 53142, 369, 7083, 21, 11, 931, 320, 15289, 7083, 1032, 11, 931, 311 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 1271, 5376, 279, 23730, 315, 24822, 198, 40, 1781, 5127, 8964, 430, 24822, 2997, 26677, 5995, 369, 279, 3823, 2547, 13, 2057, 10519, 1057, 2890, 11, 24822, 527, 1633, 3062, 3691, 13, 42096, 11, 1023, 6299, 315, 24822, 1778, 439, 7294, 12, 4210, 477, 7294, 1824, 11967, 617, 1101, 1027, 12588, 6666, 13, 4452, 11, 279, 36581, 23730, 315, 11002, 1274, 706, 1027, 27115, 44649, 2533, 279, 16557, 2212, 220, 3753, 20, 13, 10541, 279, 3392, 315, 36581, 23730, 824, 1938, 11349, 304, 279, 1054, 14884, 6457, 220, 1691, 2476, 902, 374, 264, 2890, 4947, 315, 279, 20214, 315, 6401, 11, 18993, 323, 66187, 11, 374, 220, 8652, 342, 11, 279, 5578, 369, 3026, 374, 220, 15531, 342, 323, 369, 3278, 433, 374, 220, 17212, 342, 11, 449, 14188, 315, 1124, 19261, 279, 11349, 3392, 13, 2684, 527, 5370, 8125, 369, 420, 13, 69778, 389, 279, 3185, 315, 8961, 24190, 2997, 30438, 311, 279, 10223, 36263, 323, 3966, 315, 13723, 323, 32145, 264, 15528, 8312, 439, 1790, 439, 3284, 1524, 304, 35663, 10182, 323, 3958, 9282, 13, 2057, 23075, 1521, 11, 4500, 315, 502, 6136, 36680, 323, 52129, 5528, 374, 13375, 520, 1690, 2204, 3495, 11351, 13, 7429, 11, 520, 1057, 32184, 315, 95392, 68420, 10170, 11, 5370, 9045, 527, 1694, 1903, 304, 20632, 449, 1690, 8961, 24190, 11, 505, 902, 52129, 5528, 33647, 439, 18699, 323, 11784, 29054, 527, 9405, 627, 2118, 114366, 85, 425, 26676, 40227, 863, 315, 41980, 41613, 198, 4054, 315, 279, 3293, 3495, 288, 430, 527, 16785, 1664, 374, 264, 502, 1749, 311, 3139, 41980, 41613, 13, 5659, 279, 7314, 11, 41613, 617, 1027, 304, 1579, 7631, 304, 6457, 323, 872, 13018, 6763, 527, 279, 8592, 315, 682, 24822, 13, 10541, 3544, 41613, 1511, 311, 387, 264, 1925, 2027, 11, 13723, 529, 36263, 617, 17626, 4726, 311, 11298, 28935, 323, 41980, 41613, 323, 11, 1457, 41980, 41613, 2759, 369, 220, 605, 3346, 477, 810, 315, 2860, 42120, 5788, 13, 42096, 11, 41980, 41613, 315, 5370, 8146, 617, 1027, 8040, 11, 323, 264, 2134, 315, 34966, 41613, 527, 32393, 709, 304, 10756, 13, 763, 279, 3938, 11, 279, 7631, 369, 41980, 41613, 374, 3685, 311, 5376, 627, 8607, 1274, 617, 459, 2217, 430, 279, 42120, 374, 264, 36581, 315, 7474, 11, 719, 304, 2144, 11, 41613, 527, 264, 1633, 5107, 36581, 311, 3139, 304, 1825, 19677, 52129, 2391, 7474, 13, 5629, 11, 994, 279, 9499, 374, 220, 1758, 12628, 477, 810, 11, 279, 79784, 48111, 315, 264, 42120, 374, 11293, 11, 323, 433, 1587, 539, 6847, 11984, 14098, 13, 763, 1023, 4339, 11, 79784, 374, 539, 9124, 779, 1790, 11, 323, 279, 42120, 9221, 653, 36698, 1285, 13, 7429, 11, 304, 1579, 20472, 11, 279, 2579, 77678, 326, 67866, 1994, 1587, 539, 2274, 13, 8529, 20798, 656, 539, 2543, 2579, 323, 4619, 3719, 834, 2119, 3093, 13, 24296, 11, 9282, 1778, 439, 2288, 1790, 11422, 12992, 279, 5326, 315, 8624, 13, 578, 3293, 7474, 9282, 304, 6457, 449, 671, 86336, 1579, 20472, 323, 21420, 8987, 11422, 706, 40028, 41613, 48291, 13, 15636, 11, 584, 8040, 264, 502, 52129, 1749, 11, 1054, 114366, 85, 425, 26676, 40227, 863, 315, 41980, 41613, 11, 304, 902, 5788, 2391, 279, 1579, 7474, 3280, 374, 3284, 323, 433, 374, 1101, 9511, 59085, 627, 791, 1486, 315, 420, 52129, 1749, 374, 311, 38732, 220, 17, 296, 1579, 29049, 549, 35831, 12899, 51879, 220, 17, 296, 10980, 11, 449, 459, 10074, 315, 220, 17, 296, 1990, 1855, 26078, 11, 323, 2231, 264, 4272, 8244, 389, 1124, 304, 2015, 311, 9504, 279, 44814, 315, 41613, 13, 6914, 1303, 279, 44814, 323, 11141, 26438, 279, 4272, 1303, 374, 264, 6724, 502, 4623, 11, 902, 374, 539, 1766, 304, 279, 8776, 52129, 1749, 315, 41980, 41613, 13, 13538, 1317, 11, 264, 26711, 449, 8040, 44814, 323, 11141, 374, 14454, 13, 362, 2763, 315, 40120, 17503, 389, 279, 11141, 4994, 315, 279, 26711, 11, 72192, 7397, 74767, 13, 4452, 11, 279, 4871, 315, 279, 26711, 1587, 539, 636, 3403, 40120, 4245, 311, 279, 99359, 11141, 11, 323, 279, 9499, 374, 4827, 7863, 311, 279, 4994, 11, 1405, 279, 14098, 374, 9124, 627, 3947, 527, 3892, 22934, 304, 420, 42116, 85, 425, 26676, 40227, 13, 5629, 11, 5788, 304, 279, 1579, 7474, 3280, 374, 3284, 11, 323, 11761, 7631, 649, 387, 2322, 994, 279, 33111, 8286, 315, 41980, 41613, 374, 2678, 13, 763, 5369, 11, 439, 279, 5995, 7241, 17610, 1193, 315, 279, 12899, 51879, 11, 53557, 11, 323, 15975, 28075, 3673, 11, 279, 2926, 9341, 2853, 374, 1193, 922, 832, 30277, 315, 430, 369, 264, 37647, 13, 763, 3293, 1667, 11, 33489, 706, 1101, 1027, 14243, 20727, 555, 5933, 51751, 1778, 439, 66579, 6957, 279, 3224, 13, 42116, 85, 425, 26676, 40227, 1436, 387, 11190, 369, 20957, 311, 11993, 505, 1778, 5674, 13, 24296, 11, 8051, 279, 19641, 7692, 824, 5089, 3158, 505, 42116, 85, 425, 26676, 40227, 374, 1193, 10284, 5190, 1109, 369, 279, 8776, 52129, 1749, 11, 994, 433, 4131, 311, 279, 19641, 7692, 824, 6136, 11, 433, 374, 4330, 311, 4848, 3115, 315, 430, 315, 279, 8776, 52129, 1749, 13, 1789, 3187, 11, 433, 3445, 430, 4619, 315, 48114, 220, 2636, 11012, 1603, 11, 1193, 220, 1041, 11012, 527, 4460, 13, 2876, 1193, 374, 279, 2853, 315, 23395, 11012, 11293, 11, 422, 499, 649, 8448, 41980, 41613, 304, 279, 7474, 994, 1579, 7729, 527, 3685, 4245, 311, 39259, 315, 5708, 11, 22613, 690, 387, 24872, 13, 1628, 439, 279, 52129, 836, 1054, 114366, 85, 425, 863, 5039, 11, 6650, 374, 2163, 7636, 323, 1070, 374, 2697, 6373, 315, 52129, 13, 57817, 315, 2678, 323, 26225, 68543, 323, 11141, 11, 902, 574, 4460, 19352, 1555, 279, 7982, 4261, 304, 279, 8776, 52129, 315, 42120, 11, 374, 5995, 1193, 2391, 279, 2926, 7982, 4261, 323, 11, 52129, 6373, 1778, 439, 5425, 2269, 86795, 2065, 323, 73841, 374, 4661, 26225, 13, 23212, 11, 1070, 374, 912, 990, 1778, 439, 19815, 9160, 28075, 320, 652, 38302, 315, 1925, 323, 45569, 23962, 15042, 311, 264, 3738, 1404, 705, 46301, 315, 86529, 11, 477, 23749, 315, 6136, 6650, 40242, 320, 21494, 36908, 13307, 8, 311, 70236, 279, 18534, 315, 26390, 304, 279, 7474, 13, 4314, 22934, 527, 33647, 439, 18699, 323, 42116, 85, 425, 26676, 40227, 706, 1457, 3940, 311, 3719, 5526, 29054, 11, 14918, 304, 279, 2057, 71, 16900, 5654, 627, 2118, 91682, 56935, 26676, 40227, 6872, 315, 3861, 4771, 6418, 50298, 863, 304, 439, 94789, 198, 791, 1054, 91682, 56935, 26676, 40227, 6872, 315, 3861, 4771, 6418, 50298, 863, 304, 439, 94789, 374, 1101, 264, 502, 52129, 1749, 33647, 439, 18699, 13, 763, 264, 8776, 1749, 315, 7982, 439, 94789, 11, 433, 374, 39441, 304, 3297, 1555, 5651, 994, 912, 45834, 5674, 374, 3685, 11, 323, 374, 60196, 3149, 1202, 6136, 13, 56935, 374, 3940, 832, 477, 1403, 1667, 3010, 11, 323, 520, 279, 7314, 11, 279, 24322, 8286, 374, 82178, 311, 79530, 279, 11012, 1578, 13, 7357, 1060, 11, 279, 24322, 8286, 374, 7319, 11, 323, 279, 52129, 374, 8738, 369, 922, 220, 868, 1667, 13, 578, 3575, 449, 279, 8776, 52129, 1749, 374, 279, 1579, 39775, 315, 19338, 1606, 439, 94789, 9731, 311, 387, 15042, 320, 22025, 66735, 61243, 8, 304, 279, 1890, 2115, 13, 763, 36581, 52129, 11, 19815, 100037, 374, 31890, 439, 1790, 439, 3284, 26, 4619, 11, 31665, 527, 46720, 1405, 1306, 832, 36581, 374, 67572, 11, 2500, 36581, 374, 15042, 13, 4452, 11, 439, 94789, 374, 7120, 86581, 369, 12984, 100037, 1606, 433, 5097, 3892, 1667, 369, 264, 5912, 24322, 323, 1524, 1306, 430, 11, 84911, 315, 11012, 323, 66747, 527, 11763, 927, 3892, 1667, 13, 1628, 433, 574, 2744, 5995, 311, 4465, 2403, 19338, 13, 15636, 11, 3196, 389, 3495, 315, 279, 78152, 323, 72546, 315, 439, 94789, 11, 584, 617, 8040, 264, 502, 1749, 311, 3139, 439, 94789, 627, 2409, 439, 94789, 11, 2395, 1590, 34044, 304, 264, 220, 1272, 12, 311, 220, 1135, 11477, 11008, 11, 323, 44814, 323, 11141, 41972, 13, 763, 6457, 11, 15042, 44814, 323, 11141, 2543, 14071, 304, 279, 42774, 323, 11, 50123, 1380, 2588, 505, 279, 44814, 323, 11141, 311, 22408, 450, 20969, 13980, 13, 763, 279, 12688, 11, 44814, 323, 11141, 449, 261, 320, 67, 494, 6709, 8, 323, 527, 74159, 13, 1628, 279, 2768, 1060, 11, 279, 11012, 315, 279, 439, 94789, 1212, 311, 3139, 1578, 505, 279, 1404, 814, 1051, 1603, 279, 44814, 323, 11141, 449, 12616, 13, 763, 1023, 4339, 11, 422, 279, 44814, 323, 11141, 3139, 3544, 555, 42774, 304, 279, 3766, 1060, 11, 584, 649, 1755, 430, 1690, 2395, 1590, 690, 387, 67572, 304, 279, 2768, 1060, 13, 15636, 11, 584, 3782, 709, 449, 459, 4623, 311, 12178, 279, 18912, 369, 48114, 311, 7552, 1555, 5587, 11, 539, 304, 3297, 13, 578, 7982, 11008, 315, 2395, 1590, 374, 11084, 555, 810, 1109, 832, 11008, 320, 1272, 311, 220, 1135, 2919, 570, 4452, 11, 1070, 374, 45834, 5674, 304, 7552, 1555, 5587, 13, 14636, 11, 584, 8040, 264, 502, 14473, 369, 23183, 48114, 2663, 16071, 261, 320, 4781, 306, 15639, 705, 555, 902, 584, 649, 6136, 439, 94789, 520, 264, 8149, 315, 922, 220, 868, 10166, 11, 4619, 315, 48114, 433, 3221, 279, 7479, 315, 279, 5015, 13, 1666, 264, 1121, 11, 433, 706, 1027, 17033, 430, 1524, 422, 433, 374, 1633, 9439, 11, 279, 22408, 450, 20969, 315, 439, 94789, 649, 387, 2682, 13, 1666, 94789, 39441, 555, 420, 16071, 261, 304, 7552, 1555, 5587, 14264, 311, 264, 1404, 1778, 430, 12314, 439, 94789, 1436, 387, 67572, 304, 279, 1828, 1060, 11, 323, 369, 279, 1193, 2380, 4038, 315, 279, 1828, 10683, 11, 810, 1109, 11157, 279, 1396, 315, 2395, 1590, 7863, 311, 279, 9974, 5578, 19641, 7692, 824, 5089, 3158, 304, 279, 3224, 574, 67572, 13, 24296, 11, 422, 682, 44814, 527, 67572, 449, 430, 4261, 11, 584, 656, 539, 1205, 311, 79530, 810, 11012, 13, 578, 5326, 315, 8624, 374, 11293, 11, 323, 1306, 682, 2395, 1590, 67572, 11, 279, 2115, 374, 49791, 11, 1405, 1023, 24822, 649, 387, 15042, 320, 4744, 1697, 100037, 570, 3161, 439, 94789, 11, 5936, 374, 2663, 279, 2349, 2017, 4261, 315, 10683, 24322, 320, 9493, 6307, 37002, 15042, 31665, 842, 323, 1603, 1825, 2115, 2427, 4935, 31665, 3240, 8, 323, 279, 11862, 8286, 43154, 29054, 26, 4869, 11, 422, 420, 52129, 1749, 315, 66747, 682, 279, 11012, 60196, 3149, 369, 832, 1060, 11, 2663, 41593, 56935, 26676, 40227, 6872, 315, 3861, 4771, 6418, 50298, 11, 374, 11784, 2391, 279, 4261, 11, 2395, 1590, 315, 439, 94789, 649, 387, 28358, 304, 3544, 8286, 13, 4314, 3585, 527, 33647, 439, 18699, 11, 323, 2533, 584, 17880, 7376, 420, 52129, 1749, 304, 220, 679, 21, 520, 264, 54675, 42292, 8961, 24190, 323, 29149, 54918, 11, 56694, 11, 323, 3885, 11, 433, 706, 1027, 17626, 1139, 10496, 3495, 288, 449, 1690, 2204, 59589, 323, 3495, 94812, 11, 6041, 449, 40705, 449, 23541, 13607, 1778, 439, 98538, 4409, 11, 350, 3105, 4409, 304, 27286, 11, 323, 94636, 1295, 4409, 304, 16762, 6388, 43688, 63293, 13, 763, 279, 3221, 3938, 11, 279, 46935, 439, 94789, 555, 41593, 56935, 26676, 40227, 6872, 315, 3861, 4771, 6418, 50298, 1253, 1304, 1202, 3157, 17755, 627, 2127, 4623, 369, 264, 42445, 4131, 505, 5370, 11704, 198, 791, 4623, 369, 41593, 56935, 26676, 40227, 6872, 315, 3861, 4771, 6418, 50298, 304, 439, 94789, 3782, 505, 264, 52129, 1749, 315, 48114, 279, 10533, 19342, 315, 41613, 369, 23661, 320, 2000, 8863, 1005, 8, 5655, 304, 279, 5015, 320, 318, 96608, 15975, 28075, 1749, 705, 902, 358, 10534, 1418, 358, 574, 3318, 304, 30162, 5770, 43688, 63293, 13, 1442, 584, 3217, 2204, 5528, 315, 7982, 24822, 304, 1690, 13918, 11, 584, 3719, 3025, 311, 1781, 709, 1690, 13124, 315, 6848, 902, 527, 1949, 505, 264, 14135, 50962, 1749, 311, 3139, 1855, 19641, 13, 763, 279, 1162, 315, 42116, 85, 425, 26676, 40227, 315, 41980, 41613, 1101, 11, 433, 574, 3062, 311, 3373, 264, 6136, 8205, 32599, 311, 279, 52129, 1749, 13, 18317, 36680, 6832, 44814, 26438, 1664, 3403, 311, 3504, 279, 12899, 51879, 315, 459, 29049, 549, 6211, 323, 1304, 264, 26711, 320, 327, 25777, 2655, 536, 74595, 367, 8, 527, 2478, 304, 1396, 13, 1226, 11763, 7177, 311, 1505, 505, 4315, 1124, 264, 6136, 8205, 449, 1695, 2655, 536, 74595, 367, 11, 4228, 14098, 18534, 1524, 304, 4106, 9282 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 27831, 20057, 11, 25452, 323, 28286, 9045, 527, 7366, 304, 279, 1314, 5216, 11, 279, 18338, 315, 2349, 8625, 61437, 369, 1063, 63334, 26, 4948, 14002, 315, 10795, 23134, 555, 25464, 5158, 11, 71474, 22952, 323, 7462, 48896, 668, 21667, 323, 810, 198, 51577, 11, 11162, 1389, 89789, 60487, 9045, 311, 12192, 15098, 17226, 11, 77109, 323, 29408, 990, 49896, 927, 279, 3347, 1060, 11, 26255, 6864, 320, 11539, 8, 19339, 527, 4737, 5296, 315, 872, 3674, 323, 13166, 12014, 304, 32145, 7191, 10026, 11, 19739, 323, 22277, 20057, 13, 4314, 1401, 14955, 527, 505, 279, 4948, 14002, 315, 279, 44595, 11344, 18880, 24507, 11, 23134, 555, 279, 5165, 71474, 18880, 10229, 320, 37426, 5158, 705, 71474, 22952, 11, 323, 7462, 48896, 668, 627, 15218, 574, 14890, 505, 220, 19166, 44595, 19339, 11, 264, 5199, 5376, 505, 220, 9639, 19339, 430, 31408, 304, 279, 3766, 14002, 11, 14393, 459, 24069, 2860, 315, 400, 4146, 13, 19, 7239, 304, 12032, 1234, 6373, 11, 389, 872, 11005, 6373, 12659, 323, 389, 279, 63334, 315, 7154, 220, 20, 11, 931, 8420, 13, 578, 10795, 1766, 430, 279, 5064, 706, 1903, 8738, 5208, 927, 279, 3347, 1403, 1667, 304, 5789, 315, 20057, 11, 25452, 323, 28286, 320, 1170, 40, 570, 4497, 1109, 1403, 2269, 333, 17323, 315, 44595, 19339, 49098, 617, 264, 20057, 8446, 320, 3391, 11587, 477, 459, 28286, 8446, 320, 3174, 34971, 264, 5199, 7940, 505, 220, 679, 23, 11, 994, 1120, 220, 843, 4, 323, 220, 2148, 4, 315, 19339, 49098, 11, 15947, 11, 5068, 3515, 3060, 264, 20057, 477, 459, 28286, 8446, 627, 791, 10795, 49680, 14955, 505, 3347, 1667, 430, 19339, 449, 264, 3823, 6864, 8446, 617, 7191, 5219, 315, 3278, 323, 5348, 15749, 1109, 19339, 2085, 264, 8446, 13, 10771, 311, 279, 220, 2366, 15, 828, 11, 44595, 19339, 49098, 449, 264, 20057, 477, 28286, 8446, 320, 269, 2225, 8, 1934, 430, 220, 914, 4, 315, 9341, 15749, 527, 3278, 7863, 311, 220, 508, 4, 520, 19339, 49098, 449, 14188, 8446, 13, 763, 5369, 11, 220, 20, 4, 315, 9341, 15749, 1051, 5348, 8420, 520, 19339, 449, 832, 477, 2225, 15174, 7863, 311, 220, 18, 4, 520, 19339, 449, 14188, 8446, 627, 2118, 8607, 44595, 19339, 4028, 279, 26031, 617, 1027, 45777, 4954, 3467, 40, 323, 433, 574, 26921, 311, 1518, 279, 1579, 35435, 875, 304, 19339, 24435, 304, 279, 220, 2366, 15, 10795, 7863, 311, 220, 679, 23, 2029, 1071, 38481, 19372, 11, 4872, 323, 12432, 315, 25464, 5158, 13, 1054, 37, 14742, 15718, 449, 54917, 323, 14944, 2786, 527, 6522, 279, 1648, 13, 28993, 11, 279, 5064, 374, 7366, 304, 279, 1314, 5216, 26, 4869, 11, 279, 13340, 315, 3278, 323, 1274, 315, 1933, 304, 9341, 5597, 3339, 10093, 8625, 3428, 13, 1226, 3987, 19339, 649, 1005, 279, 10795, 3135, 311, 32834, 434, 323, 63652, 3823, 6864, 15174, 311, 43880, 5064, 5208, 49216, 30014, 20057, 9879, 27946, 20192, 2533, 220, 679, 23, 198, 8142, 3278, 5101, 311, 7293, 1234, 53859, 389, 9341, 7411, 323, 439, 9341, 5597, 29414, 520, 44595, 19339, 11, 872, 5219, 3136, 311, 14297, 9327, 40872, 13, 49669, 832, 58414, 320, 1419, 11587, 315, 9341, 15749, 304, 279, 5064, 527, 3278, 11, 709, 1120, 1403, 3585, 505, 220, 1691, 4, 304, 220, 679, 23, 13, 11215, 1101, 3412, 10284, 810, 10195, 11852, 13073, 520, 44595, 19339, 11, 14393, 220, 845, 4, 315, 9341, 8717, 3432, 7863, 311, 220, 975, 4, 304, 220, 679, 23, 13, 578, 12474, 5376, 574, 12715, 4315, 27144, 11852, 8954, 9341, 15749, 11, 1405, 13340, 7319, 311, 220, 1644, 4, 320, 455, 505, 220, 1591, 4, 304, 220, 679, 23, 4390, 3648, 311, 279, 220, 2366, 15, 4007, 11, 828, 14890, 389, 11692, 28423, 369, 9341, 15749, 1766, 430, 8954, 8420, 4097, 220, 1187, 4, 315, 1884, 889, 82316, 12789, 11, 220, 1691, 4, 315, 1884, 889, 4097, 279, 7626, 389, 279, 21126, 315, 20136, 5220, 11, 220, 1691, 4, 315, 7626, 9341, 13093, 3697, 323, 220, 972, 4, 315, 6373, 2883, 7980, 627, 46233, 1063, 5627, 11, 420, 1060, 753, 828, 2216, 5039, 603, 264, 24162, 315, 1403, 9919, 994, 433, 4131, 311, 279, 5536, 315, 20057, 11, 25452, 323, 28286, 520, 44595, 10736, 13, 358, 1097, 18949, 311, 1518, 279, 5208, 389, 99139, 7319, 10026, 20057, 2476, 1071, 10335, 462, 24421, 11, 12717, 11, 7462, 48896, 668, 47511, 69065, 323, 17192, 10716, 315, 9434, 20057, 11, 25452, 323, 28286, 13, 1054, 11458, 11, 44595, 19339, 323, 682, 11351, 617, 264, 2763, 315, 990, 2163, 311, 656, 304, 10043, 20057, 11, 25452, 323, 28286, 4315, 19739, 323, 22277, 40804, 11, 1418, 14691, 311, 3351, 4741, 389, 10026, 13, 435, 14742, 1288, 63652, 74281, 11, 36387, 323, 56501, 17226, 11005, 422, 814, 527, 311, 1977, 264, 27465, 4676, 323, 7829, 430, 374, 9615, 77109, 323, 29408, 49216, 49, 33211, 323, 22277, 40804, 1253, 539, 387, 84015, 505, 3467, 40, 9045, 520, 279, 1890, 4478, 439, 1023, 63334, 198, 20397, 279, 5208, 11054, 304, 420, 1060, 753, 10795, 11, 1790, 990, 8625, 1606, 1070, 8111, 2103, 311, 387, 264, 6996, 315, 19739, 323, 22277, 20057, 304, 279, 44595, 5064, 13, 578, 4478, 520, 902, 2349, 374, 4737, 2035, 374, 6435, 323, 555, 912, 3445, 77109, 4028, 49098, 19339, 25, 10026, 5602, 279, 1455, 2001, 8051, 2678, 2001, 18637, 11, 20444, 5208, 369, 19739, 323, 22277, 40804, 574, 7347, 323, 1524, 2160, 55071, 304, 1063, 13422, 627, 791, 1396, 315, 9341, 15749, 4315, 19739, 323, 22277, 40804, 35901, 1234, 53859, 304, 44595, 20025, 7882, 2533, 279, 220, 679, 23, 10795, 25, 44595, 19339, 5068, 220, 19, 4, 5348, 9341, 15749, 320, 5807, 1636, 311, 220, 18, 4, 304, 220, 679, 23, 8, 323, 220, 19, 4, 41985, 477, 44862, 9341, 15749, 320, 2996, 505, 220, 20, 4, 304, 220, 679, 23, 570, 578, 11668, 315, 9341, 8427, 10093, 5762, 555, 5348, 8420, 574, 220, 18, 4, 320, 3265, 3811, 505, 279, 4972, 10795, 8, 323, 41985, 477, 44862, 8420, 41853, 369, 220, 19, 4, 315, 9341, 8717, 320, 5807, 1636, 311, 220, 18, 4, 304, 220, 679, 23, 4390, 2118, 25162, 48639, 520, 19339, 11, 1317, 9341, 25492, 11, 6020, 5326, 11, 38088, 5064, 8060, 7969, 323, 264, 4009, 32505, 26031, 617, 1903, 16661, 323, 73820, 304, 44595, 264, 8815, 369, 5606, 11, 719, 8104, 369, 1884, 505, 35901, 1234, 53859, 5315, 2476, 1071, 10455, 309, 14433, 593, 11, 11145, 7690, 315, 71474, 22952, 13, 1054, 37426, 5158, 17880, 11887, 71474, 22952, 1566, 1060, 311, 1520, 2686, 1063, 315, 1521, 11774, 449, 5070, 369, 2225, 5064, 68558, 323, 9749, 15167, 311, 2680, 13, 67975, 4954, 279, 30740, 311, 4441, 323, 2450, 323, 15718, 449, 14944, 2786, 994, 3339, 11005, 34102, 11, 38231, 323, 20862, 11429, 649, 6678, 1317, 9860, 2349, 49216, 32, 1650, 311, 1957, 369, 549, 815, 13, 44595, 19339, 198, 791, 44595, 5064, 706, 264, 12014, 430, 2289, 3117, 7953, 4780, 369, 1202, 15167, 13, 650, 34645, 6678, 907, 369, 2683, 11987, 323, 10383, 35490, 13, 2435, 527, 520, 279, 52301, 315, 907, 9886, 1555, 19297, 369, 8396, 627, 14305, 44595, 5064, 24266, 264, 2294, 3674, 12014, 311, 18824, 3467, 40, 2476, 1071, 47363, 36593, 11, 25261, 323, 44701, 18646, 7690, 11, 7462, 48896, 668, 612, 57895, 1557, 69065, 323, 25261, 323, 44701, 879, 6650, 7808, 13, 1054, 11539, 19339, 1253, 1205, 311, 733, 7953, 5042, 7859, 279, 1396, 315, 3697, 315, 1234, 53859, 5315, 304, 2204, 4595, 315, 10093, 422, 814, 527, 311, 1977, 264, 27465, 4676, 323, 7829, 430, 374, 9615, 29408, 13, 44595, 19339, 1288, 387, 3411, 4028, 279, 44595, 48608, 323, 39210, 449, 264, 9200, 18848, 323, 3831, 38575, 311, 6678, 46417, 2349, 49216, 35502, 311, 279, 1176, 323, 2132, 47634, 11, 420, 1060, 753, 1934, 1101, 36611, 15174, 311, 5376, 3467, 40, 311, 1520, 44595, 19339, 3136, 7366, 279, 31409, 4741, 13, 1115, 5764, 26984, 828, 11, 6376, 9021, 369, 279, 7626, 323, 25976, 264, 1920, 311, 11322, 1884, 9021, 13, 4997, 592, 34102, 7620, 449, 459, 17626, 4009, 11, 10396, 369, 38231, 323, 8670, 369, 20862, 1253, 1101, 3493, 810, 6776, 311, 5376, 279, 20057, 315, 264, 32027, 627, 11631, 279, 2539, 1934, 1618, 627, 6182, 279, 21416, 28065, 1618, 627, 791, 44595, 11344, 18880, 24507, 11, 23134, 555, 279, 5165, 71474, 18880, 10229, 320, 37426, 5158, 705, 71474, 22952, 323, 7462, 48896, 668, 8720, 288, 279, 1614, 315, 20057, 11, 25452, 323, 28286, 304, 279, 26255, 6864, 5064, 13, 578, 4948, 14002, 315, 279, 14529, 4101, 5825, 264, 2592, 315, 2038, 430, 6276, 19339, 311, 29531, 5694, 2403, 5064, 12659, 323, 8779, 1124, 10765, 18699, 20414, 311, 12192, 3467, 40, 13, 578, 10795, 20802, 828, 505, 220, 19166, 26255, 6864, 19339, 11, 14393, 459, 24069, 2860, 315, 400, 4146, 13, 19, 7239, 304, 12032, 1234, 6373, 11, 389, 872, 11005, 6373, 12659, 323, 389, 279, 63334, 315, 7154, 220, 20, 11, 931, 8420, 627, 10714, 279, 5165, 71474, 18880, 10229, 198, 791, 5165, 71474, 18880, 10229, 320, 37426, 5158, 8, 8654, 16345, 279, 1828, 9659, 315, 3778, 5220, 430, 690, 10633, 279, 8752, 315, 16986, 13, 1666, 279, 7899, 315, 279, 549, 815, 13, 26255, 6864, 323, 21210, 4029, 11, 25464, 5158, 28424, 369, 586, 4947, 430, 11815, 279, 3778, 70406, 26031, 13, 72743, 279, 26255, 4029, 439, 279, 864, 336, 14168, 6696, 15360, 11, 25464, 5158, 11977, 279, 26255, 4029, 369, 2450, 11, 13788, 439, 279, 6522, 5211, 369, 26255, 6864, 828, 11, 15325, 6873, 11, 14734, 35054, 28271, 323, 29130, 13, 1789, 810, 2038, 922, 25464, 5158, 11, 4587, 4034, 8604, 1276, 85, 936, 2726, 627, 10714, 71474, 22952, 198, 77632, 554, 22952, 20722, 279, 3823, 6864, 11, 7829, 11, 2819, 323, 19775, 315, 26255, 6864, 311, 12192, 264, 3831, 323, 29408, 4029, 430, 690, 10633, 279, 8752, 315, 16986, 13, 2057, 6211, 279, 3938, 315, 26255, 6864, 11, 71474, 22952, 19159, 8915, 15840, 11, 828, 323, 3495, 323, 19092, 5070, 430, 527, 66388, 279, 26255, 26031, 753, 5845, 311, 41972, 13, 71474, 22952, 374, 264, 220, 14408, 1361, 2432, 18, 8, 12899, 7471, 311, 279, 5165, 71474, 18880, 10229, 320, 37426, 5158, 570, 1789, 810, 2038, 11, 4034, 26255, 13741, 2726, 627, 16939, 48896, 668, 5825, 5064, 69475, 25261, 11, 31831, 11, 3827, 323, 41537, 3600, 311, 1690, 315, 279, 1917, 753, 1455, 64747, 16097, 11, 2737, 7154, 220, 1954, 4, 315, 279, 46331, 220, 2636, 12175, 323, 810, 1109, 220, 22, 11, 931, 879, 5220, 13, 5751, 1274, 2586, 3871, 369, 279, 7191, 1695, 323, 990, 4028, 279, 5064, 26593, 430, 6678, 323, 6211, 3432, 753, 30633, 2001, 24944, 66303, 323, 29869, 3135, 430, 1520, 55414, 586, 7095, 304, 1057, 6864, 11987, 11, 31740, 8403, 311, 1518, 11774, 439, 10708, 311, 5276, 323, 41972, 11, 323, 1520, 3063, 279, 1648, 9017, 264, 16643, 8752, 323, 264, 39345, 8396, 13, 7462, 48896, 668, 374, 12691, 311, 387, 961, 315, 279, 7928, 3728, 6721, 3600, 4009, 13788, 1057, 8403, 304, 279, 11987, 430, 527, 1455, 3062, 311, 1124, 13, 4800, 32689, 220, 10005, 1667, 315, 2532, 11, 1057, 4009, 315, 4562, 19339, 45395, 810, 1109, 220, 3965, 5961, 323, 39543, 13, 15281, 1268, 7462, 48896, 668, 753, 810, 1109, 220, 10568, 11, 931, 1274, 15603, 4667, 369, 5536, 520, 8604, 962, 20782, 97773, 916, 627, 16939, 48896, 668, 19813, 311, 832, 477, 810, 315, 7462, 48896, 668, 57895, 1557, 2057, 35401, 51843, 19439, 11, 264, 6560, 879, 2883, 7347, 555, 15803, 27179, 10822, 13778, 56955, 1202, 4009, 315, 4562, 19339, 11, 323, 872, 5552, 15086, 13, 26065, 13778, 323, 1855, 315, 1202, 4562, 19339, 527, 26267, 8821, 323, 9678, 15086, 13, 26065, 13778, 320, 19171, 14183, 311, 439, 1054, 16939, 48896, 668, 8121, 33611, 1587, 539, 3493, 3600, 311, 8403, 13, 763, 279, 3723, 4273, 11, 7462, 48896, 668, 19813, 311, 832, 477, 810, 315, 279, 2326, 4562, 19339, 315, 26065, 13778, 11, 872, 5552, 15086, 430, 14816, 1701, 279, 1054, 16939, 48896, 668, 863, 836, 304, 279, 3723, 4273, 323, 872, 20081, 32133, 13, 35211, 3600, 1253, 539, 387, 2561, 311, 88017, 8403, 1234, 279, 5718, 323, 14640, 315, 586, 24043, 13, 5321, 1518, 8604, 962, 20782, 97773, 916, 43616, 311, 4048, 810, 922, 1057, 3728, 4009, 315, 4562, 19339, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2746, 1070, 574, 4205, 499, 4460, 311, 2778, 704, 704, 922, 8215, 19, 11, 430, 374, 1405, 499, 649, 656, 433, 13, 4427, 73222, 527, 95119, 398, 9615, 10374, 20181, 315, 315, 11441, 520, 220, 16, 733, 311, 1427, 520, 7724, 93107, 389, 6730, 3131, 814, 1436, 387, 14324, 1063, 2466, 8515, 13, 1226, 23289, 3794, 832, 315, 279, 1888, 6209, 323, 38663, 3974, 20637, 6369, 6732, 374, 3062, 13, 1115, 2199, 24400, 389, 5042, 279, 220, 22, 1888, 6822, 6730, 6732, 13, 7531, 907, 36595, 11, 3185, 14656, 25034, 4668, 31085, 82, 11, 323, 4856, 810, 520, 1057, 2816, 627, 20944, 1877, 59384, 527, 264, 2294, 2035, 311, 1456, 704, 323, 9526, 449, 502, 16872, 21168, 13, 24830, 11, 499, 1253, 45063, 6392, 499, 3287, 1431, 1524, 1440, 499, 14333, 0, 2052, 433, 5097, 374, 279, 1314, 3974, 6730, 3828, 311, 1486, 704, 499, 279, 65046, 13, 1472, 4805, 31805, 682, 279, 14329, 6732, 499, 617, 3596, 12263, 13, 4212, 311, 1440, 889, 499, 4805, 387, 14956, 304, 1521, 1156, 22312, 287, 5743, 1877, 59384, 13, 1472, 4805, 387, 12304, 311, 1440, 430, 29397, 19, 8415, 388, 311, 264, 8205, 315, 94014, 505, 682, 6956, 315, 279, 1917, 627, 2170, 264, 45805, 14825, 893, 818, 36444, 11, 499, 649, 8547, 709, 5042, 555, 17265, 5196, 2345, 98936, 11, 499, 1101, 11322, 25836, 555, 12588, 1957, 21258, 11, 5636, 904, 18726, 323, 3118, 30466, 662, 350, 5772, 374, 4228, 323, 1253, 387, 2884, 449, 279, 18965, 315, 264, 3215, 13, 3011, 9932, 11, 499, 4805, 1288, 3780, 6807, 1603, 499, 4805, 387, 3025, 311, 11813, 11, 902, 374, 1101, 459, 4228, 3388, 315, 13, 21460, 3938, 21934, 1109, 1884, 430, 16681, 304, 1579, 70666, 3564, 9698, 13, 4452, 11, 9298, 264, 19369, 11, 220, 508, 1355, 11793, 4771, 6418, 7926, 5333, 636, 11937, 1022, 374, 1664, 5922, 279, 3430, 315, 26360, 11, 439, 29921, 13, 5742, 315, 21961, 499, 3207, 4461, 311, 1505, 2930, 520, 904, 2728, 4545, 11, 902, 374, 3629, 1664, 927, 220, 1049, 627, 12, 35802, 505, 1694, 459, 8056, 6730, 2816, 11, 814, 617, 1023, 6666, 25313, 370, 7278, 4519, 1093, 6900, 1445, 9313, 323, 264, 400, 845, 11, 931, 15438, 8515, 14130, 627, 12, 3296, 6730, 5424, 7214, 449, 264, 14994, 311, 279, 52604, 11, 499, 4070, 279, 1828, 7757, 15798, 627, 12, 1472, 649, 2680, 220, 1041, 15, 82, 315, 6730, 23628, 304, 220, 1544, 6989, 389, 420, 3566, 2816, 627, 12, 6914, 757, 1304, 433, 2867, 11, 523, 2693, 71629, 374, 539, 264, 3564, 2816, 11, 420, 1436, 387, 264, 3974, 1877, 6730, 2816, 627, 12, 4452, 11, 422, 499, 5268, 701, 6730, 3828, 311, 387, 459, 24473, 73283, 11, 499, 4805, 617, 279, 5845, 311, 1684, 872, 3974, 5039, 449, 1023, 6444, 389, 279, 39825, 627, 12, 921, 2693, 71629, 706, 264, 28681, 79861, 4668, 11, 902, 374, 10437, 422, 499, 1541, 1431, 1205, 311, 2586, 4028, 264, 29827, 8844, 4737, 832, 709, 279, 1089, 627, 33, 95024, 34, 4214, 374, 264, 1695, 10778, 422, 499, 1390, 311, 990, 369, 6848, 304, 264, 1949, 3118, 449, 1633, 1579, 15613, 13, 1102, 21935, 704, 279, 1888, 1034, 315, 13254, 311, 279, 893, 818, 36444, 315, 904, 6730, 2816, 2930, 520, 3118, 13, 1102, 11383, 706, 6555, 87313, 505, 279, 4211, 889, 1005, 433, 13, 4427, 6730, 6732, 3412, 439, 1790, 439, 220, 2031, 12, 2075, 4, 315, 701, 24608, 369, 5694, 11, 7438, 499, 636, 311, 10519, 21742, 264, 19983, 315, 1148, 499, 7380, 13, 1630, 6644, 374, 12207, 2731, 11, 449, 279, 2816, 21742, 4737, 220, 914, 12, 1135, 13689, 779, 499, 690, 636, 2033, 477, 24657, 279, 1935, 25389, 71188, 4669, 1630, 6644, 13, 1442, 499, 527, 264, 27041, 893, 818, 36444, 3411, 311, 1518, 902, 6730, 6732, 527, 1888, 311, 990, 369, 11, 10936, 7833, 311, 279, 15182, 315, 1888, 6730, 6732, 311, 990, 369, 3770, 627, 791, 220, 1032, 10, 7252, 22919, 8215, 33038, 5046, 220, 2366, 17, 198, 791, 35693, 2373, 706, 264, 88620, 3582, 1389, 433, 7194, 5066, 11, 1524, 994, 499, 3207, 2736, 17045, 304, 264, 4443, 3118, 13, 578, 40252, 538, 649, 387, 264, 2766, 11292, 311, 7124, 11, 2533, 433, 753, 779, 7353, 13, 3639, 2643, 387, 264, 40252, 311, 1063, 374, 5128, 5410, 311, 3885, 13, 1789, 16168, 279, 1455, 961, 11, 304, 12976, 311, 8191, 3564, 11, 3871, 449, 6730, 6732, 11, 279, 4751, 40252, 3629, 3445, 2555, 430, 753, 264, 2766, 41296, 11, 40634, 11, 477, 2653, 311, 2778, 704, 13, 22938, 449, 420, 7419, 11, 584, 4070, 26126, 832, 315, 279, 1888, 40252, 6730, 6732, 15871, 3196, 389, 279, 4459, 4211, 1174, 14553, 315, 32421, 14, 68287, 1148, 499, 527, 3411, 369, 11, 323, 279, 4689, 2816, 4367, 627, 13246, 1455, 1023, 6730, 6732, 11, 499, 617, 311, 733, 2536, 57571, 6931, 1109, 9943, 10964, 701, 73836, 389, 3113, 4264, 13, 8215, 50, 14320, 6835, 499, 264, 14971, 5352, 6931, 1109, 499, 3810, 323, 50829, 279, 1646, 753, 4279, 10959, 311, 6106, 499, 3207, 3794, 264, 26518, 369, 701, 22786, 13, 3092, 11180, 34, 4214, 690, 1176, 1825, 264, 8821, 3321, 279, 2035, 499, 4805, 387, 11096, 555, 279, 6730, 17240, 499, 14896, 13, 578, 832, 4360, 358, 9615, 617, 449, 420, 374, 430, 433, 3250, 1431, 3604, 15820, 499, 3508, 477, 539, 279, 17240, 374, 304, 279, 3130, 11, 477, 422, 5606, 775, 374, 10307, 13, 763, 2015, 311, 1505, 704, 11, 499, 2011, 20684, 10356, 3131, 304, 264, 1418, 13, 1102, 753, 78014, 311, 1518, 824, 24401, 21913, 315, 400, 21, 22104, 23, 824, 9568, 369, 264, 2536, 57571, 6369, 13, 3277, 499, 1176, 52880, 11, 499, 649, 636, 832, 7895, 17510, 6807, 1949, 315, 6900, 11, 902, 4375, 704, 311, 264, 5922, 315, 13489, 400, 605, 627, 5519, 90250, 12522, 6834, 1952, 4314, 11406, 6834, 8519, 13149, 33038, 5380, 1687, 3371, 499, 279, 8206, 922, 682, 315, 279, 19108, 6730, 6369, 6732, 0, 358, 1097, 12756, 49424, 922, 1475, 315, 1884, 6730, 6732, 323, 1148, 358, 26611, 1701, 1855, 13, 358, 1524, 3371, 499, 1148, 358, 7318, 369, 6730, 1877, 50829, 520, 1855, 2816, 13, 2684, 374, 264, 2763, 5066, 2038, 584, 3085, 439, 1664, 430, 21742, 2307, 6439, 7619, 1122, 11704, 6444, 315, 20637, 2835, 6369, 6732, 1053, 1440, 323, 374, 17057, 323, 11497, 1314, 1618, 13, 23371, 11, 264, 1396, 315, 27041, 7724, 6369, 6732, 690, 3493, 264, 1486, 315, 1825, 323, 18768, 12862, 6822, 59384, 6369, 11, 4869, 1455, 315, 1884, 6732, 527, 15193, 13, 358, 3152, 433, 753, 2867, 311, 1455, 5127, 430, 3564, 6369, 6732, 527, 279, 6522, 1376, 315, 6822, 41308, 389, 8614, 627, 2028, 1646, 37938, 16180, 12512, 1633, 39418, 48374, 369, 701, 17069, 13, 9029, 2834, 1431, 11813, 499, 994, 499, 3041, 1475, 3245, 3201, 1949, 315, 6900, 13, 2684, 753, 264, 10151, 311, 3794, 1455, 10631, 505, 3932, 11, 902, 4131, 2949, 279, 67126, 323, 279, 1847, 13, 1628, 1566, 398, 994, 433, 4131, 311, 7241, 11, 264, 12472, 315, 1877, 23939, 690, 682, 279, 892, 7945, 449, 279, 2038, 13, 8215, 6732, 527, 11383, 586, 1389, 994, 499, 733, 3974, 11, 21739, 649, 3821, 627, 14809, 735, 4214, 78981, 13002, 23748, 1952, 26106, 7054, 17783, 33038, 198, 10713, 927, 279, 10228, 11, 323, 499, 4805, 1524, 1518, 279, 1646, 753, 11307, 13, 1115, 24897, 430, 872, 4211, 527, 682, 21685, 389, 358, 1029, 535, 13, 29524, 2231, 11, 350, 29652, 2445, 4214, 916, 374, 8104, 6319, 369, 34727, 59384, 13, 1666, 264, 842, 1121, 11, 499, 636, 264, 2466, 6727, 315, 34727, 19440, 2778, 3878, 11, 4528, 311, 11523, 13167, 11, 1380, 7636, 11, 1380, 21961, 11, 323, 779, 13544, 13, 1472, 1541, 1431, 636, 430, 3169, 315, 2778, 2968, 389, 264, 5066, 67217, 6730, 2816, 13, 35999, 9884, 374, 264, 1949, 2930, 4029, 1405, 701, 6444, 649, 3821, 11364, 95678, 282, 1003, 919, 2804, 3974, 11, 21416, 5039, 627, 20944, 20004, 24, 374, 264, 5066, 3293, 1877, 6730, 5452, 11, 4869, 814, 3207, 3815, 2294, 990, 13, 1442, 499, 3207, 7422, 922, 3974, 20572, 2523, 449, 38307, 27041, 60600, 11, 430, 374, 279, 7858, 369, 499, 13, 3053, 358, 7079, 264, 27041, 5452, 779, 430, 499, 5042, 649, 923, 311, 420, 1160, 30, 7839, 3974, 6730, 1877, 3997, 279, 2035, 499, 11000, 649, 6369, 449, 6366, 342, 1147, 323, 3821, 1124, 13619, 19557, 389, 701, 20705, 17069, 627, 24798, 386, 6897, 12037, 11, 282, 1003, 919, 649, 58191, 553, 279, 6763, 315, 872, 7528, 2262, 304, 5369, 311, 4662, 15193, 2680, 311, 872, 8571, 19665, 7241, 13, 1472, 1253, 1524, 4662, 48131, 3673, 555, 1648, 315, 420, 5452, 12435, 311, 57274, 11, 1877, 23939, 5636, 41455, 311, 1023, 3674, 3772, 12006, 13, 5034, 10880, 304, 220, 1049, 16, 11, 11406, 41, 300, 1083, 374, 4315, 279, 1455, 1664, 22015, 6730, 6732, 389, 279, 11841, 323, 374, 21682, 304, 279, 1948, 5899, 6822, 15771, 304, 279, 1917, 13, 1102, 374, 13240, 430, 2212, 220, 1758, 3610, 7931, 733, 311, 11406, 41, 300, 1083, 1475, 1938, 779, 1070, 753, 11510, 315, 43763, 323, 2294, 4754, 311, 7380, 6908, 627, 11180, 8215, 33038, 198, 18433, 315, 420, 11, 389, 1521, 3566, 6732, 11, 499, 4805, 7142, 7752, 505, 682, 2212, 279, 1917, 13, 2684, 527, 13305, 304, 1475, 5699, 3871, 449, 84653, 4483, 15872, 11, 16526, 274, 1056, 552, 11, 3778, 86721, 11, 11002, 597, 771, 12855, 11, 323, 7665, 503, 26246, 13, 1442, 499, 1205, 11, 499, 649, 1524, 733, 6730, 311, 6730, 323, 1501, 315, 701, 2547, 11, 2288, 13, 5659, 1148, 358, 4070, 6755, 11, 6730, 4211, 2216, 1093, 3815, 420, 449, 872, 52860, 13, 9359, 603, 311, 7079, 701, 19214, 3974, 3564, 59384, 11, 584, 527, 2133, 311, 1296, 323, 9762, 1124, 304, 1057, 15182, 627, 2028, 374, 264, 4029, 15753, 3566, 2816, 11, 902, 706, 927, 220, 1135, 11, 931, 3697, 11, 323, 264, 3544, 2835, 18624, 315, 12715, 24601, 13, 10541, 47904, 7665, 11, 14306, 39, 4519, 4211, 505, 682, 4883, 279, 1917, 11, 889, 527, 92381, 220, 1041, 4, 19077, 13, 578, 3445, 856, 25746, 762, 4214, 690, 636, 682, 1521, 3278, 311, 13519, 709, 374, 14470, 4228, 11, 814, 2343, 1124, 7191, 1109, 904, 1023, 2816, 13, 3277, 1274, 11813, 11, 856, 25746, 762, 4214, 5825, 279, 3278, 220, 1954, 13689, 430, 374, 1648, 810, 1109, 1063, 315, 279, 1023, 1888, 1877, 6730, 6732, 11, 13619, 6369, 1193, 5825, 220, 1399, 4, 369, 2937, 13, 1442, 1070, 574, 3596, 264, 659, 56009, 6730, 2816, 20790, 11, 10968, 389, 3339, 279, 1917, 264, 7191, 2035, 11, 3092, 11180, 34, 4214, 649, 387, 433, 13, 4427, 7155, 4519, 315, 279, 39825, 27830, 279, 3451, 25859, 529, 6904, 520, 279, 5190, 1314, 1450, 912, 564, 315, 279, 4264, 627, 9673, 1436, 387, 779, 4382, 439, 1694, 279, 41283, 10470, 31863, 477, 279, 5333, 1828, 6134, 11, 477, 814, 649, 387, 439, 37067, 439, 264, 39375, 311, 656, 3738, 14385, 430, 2204, 6730, 3278, 2834, 1431, 13, 12522, 32180, 449, 701, 1427, 323, 1514, 311, 701, 36486, 439, 264, 893, 818, 36444, 13, 16782, 11, 1541, 1431, 11196, 422, 499, 3207, 539, 264, 14595, 3564, 6917, 2949, 279, 5084, 13096, 1389, 1274, 1093, 264, 2697, 2766, 315, 6727, 13, 7570, 422, 499, 2980, 701, 659, 14733, 477, 28360, 11, 4423, 374, 2133, 311, 1781, 499, 3207, 279, 1877, 13744, 6730, 893, 818, 36444, 13989, 13, 6104, 1694, 14560, 374, 832, 1749, 311, 743, 6261, 10980, 505, 279, 13734, 11, 433, 753, 539, 4460, 311, 387, 6992, 13, 9176, 315, 279, 1948, 6730, 3278, 11352, 2450, 2085, 3815, 4205, 814, 1051, 29213, 449, 627, 14809, 6109, 11860, 94790, 916, 374, 264, 6721, 1877, 6730, 3477, 2816, 430, 5764, 279, 30689, 304, 3974, 6822, 41308, 13, 5751, 16945, 374, 430, 649, 7945, 499, 7142, 704, 902, 527, 279, 1455, 7524, 27041, 6732, 11, 323, 430, 527, 11, 10489, 11, 4827, 1109, 48317, 13, 1442, 499, 4070, 12263, 1057, 2816, 304, 279, 3347, 11, 499, 3619, 430, 1057, 9131, 2001, 311, 7068, 279, 1455, 7524, 1877, 6730, 56181, 56395, 279, 1917, 706, 3596, 3970, 2001, 374, 26762, 13, 578, 4128, 1203, 315, 35999, 9884, 374, 430, 279, 26792, 4029, 25283, 311, 1518, 14090, 1949, 5039, 323, 311, 2343, 4211, 4669, 18726, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 73889, 535, 28082, 45377, 7640, 323, 5070, 73889, 535, 28082, 45377, 7640, 323, 5070, 198, 73889, 535, 6725, 374, 264, 8915, 1920, 430, 75762, 10334, 449, 3851, 28592, 77847, 3252, 279, 13225, 1990, 6721, 6677, 323, 279, 18651, 315, 1972, 31184, 6725, 320, 25763, 3817, 942, 2637, 8888, 3817, 942, 11, 393, 14466, 5364, 66, 2149, 39138, 612, 735, 82965, 59611, 11, 1880, 453, 2637, 1049, 17, 570, 1666, 1778, 11, 52828, 6725, 374, 6646, 4315, 279, 1455, 26455, 12917, 323, 6975, 13531, 1385, 369, 11469, 10723, 2890, 28456, 2512, 627, 95767, 1180, 439, 17028, 3046, 323, 12936, 42391, 315, 5575, 659, 44107, 1191, 20034, 520, 10209, 2512, 430, 374, 40806, 11, 36486, 6108, 323, 13654, 36185, 13, 42904, 1288, 16988, 304, 1054, 21656, 3871, 863, 5603, 304, 902, 814, 22815, 16988, 449, 4236, 304, 279, 1920, 315, 9200, 22599, 323, 7422, 922, 17226, 14830, 15082, 13, 763, 904, 1162, 11, 50794, 11125, 311, 1862, 323, 12192, 279, 6725, 315, 13654, 36185, 10723, 2890, 2512, 1288, 320, 44, 35472, 11, 82188, 11, 29477, 1251, 11, 23778, 1386, 648, 11, 50899, 11, 612, 102287, 540, 11, 220, 1049, 24, 997, 12, 4324, 264, 6220, 323, 57042, 6975, 4676, 627, 12, 5867, 51480, 553, 31308, 323, 72283, 15696, 315, 2512, 627, 12, 328, 13048, 30022, 4315, 13324, 627, 12, 5273, 22599, 323, 659, 66104, 2136, 627, 12, 96914, 5361, 39555, 627, 73889, 535, 6725, 1253, 12446, 304, 3927, 323, 1912, 20447, 26, 439, 1664, 439, 304, 4477, 11, 1555, 21416, 20954, 477, 1023, 3445, 13, 2684, 527, 5361, 15174, 369, 22599, 430, 649, 7945, 28456, 4236, 311, 2274, 279, 82780, 6677, 11, 7512, 323, 58266, 627, 16992, 311, 1862, 52828, 6725, 198, 791, 2768, 20414, 323, 7526, 1253, 387, 1511, 311, 1862, 4236, 311, 16988, 304, 14529, 9200, 22599, 627, 44594, 287, 13, 8876, 279, 4216, 1474, 307, 220, 2550, 15, 82, 11, 29198, 6873, 706, 43603, 279, 23035, 315, 8486, 287, 439, 264, 1648, 311, 3351, 279, 10334, 315, 6677, 24279, 315, 5575, 37465, 304, 4642, 6725, 13, 2057, 430, 842, 11, 5575, 37465, 617, 1027, 4691, 311, 8881, 389, 872, 6725, 304, 2015, 311, 1304, 279, 7902, 1990, 10334, 323, 6725, 323, 2274, 9200, 7422, 7512, 320, 36, 604, 11, 220, 1049, 23, 705, 439, 1664, 439, 311, 2274, 264, 6721, 9764, 320, 2059, 70579, 11, 735, 395, 1543, 612, 1443, 73253, 11, 220, 1049, 21, 570, 7089, 16483, 617, 1511, 8486, 287, 311, 18885, 33766, 535, 6725, 627, 21365, 8486, 287, 11, 439, 264, 1376, 315, 52828, 10368, 11, 11705, 264, 6220, 3634, 369, 4236, 311, 41440, 24564, 15082, 11, 2980, 32887, 39555, 323, 11704, 10923, 369, 4726, 20616, 320, 33, 3023, 11, 423, 2637, 6706, 65036, 11, 432, 2637, 612, 23074, 11, 423, 13, 220, 3753, 20, 26, 82324, 11, 445, 2637, 220, 679, 18, 26, 8444, 10033, 11, 622, 13, 469, 2637, 220, 1049, 16, 570, 3161, 279, 7319, 1645, 35594, 315, 2890, 2512, 3432, 11, 37465, 449, 1579, 2237, 315, 6677, 323, 9200, 3851, 315, 420, 6677, 304, 279, 6439, 315, 6978, 374, 1401, 11, 323, 8486, 287, 374, 3463, 315, 439, 832, 1648, 311, 11322, 420, 16945, 627, 8538, 12283, 4284, 8486, 287, 374, 264, 9687, 10151, 430, 12302, 449, 28887, 315, 4455, 323, 7366, 311, 810, 17151, 5848, 28887, 922, 872, 39555, 323, 6492, 315, 4455, 320, 52, 90605, 11, 26184, 612, 350, 55148, 69, 942, 11, 220, 1049, 16, 570, 1115, 76057, 2277, 10151, 374, 3629, 3970, 439, 264, 30022, 11, 3582, 1521, 1890, 12283, 18046, 369, 279, 24629, 3560, 430, 2204, 5990, 315, 8486, 287, 1514, 304, 28456, 6725, 627, 791, 20392, 315, 12917, 22291, 304, 279, 3477, 315, 5575, 42780, 11335, 264, 1401, 3560, 304, 279, 50925, 315, 5575, 3463, 13, 56619, 1778, 439, 328, 38341, 320, 42641, 8, 34685, 323, 63851, 1101, 1253, 387, 4445, 555, 279, 2410, 41264, 1990, 279, 5575, 7061, 323, 22291, 70910, 13, 63135, 315, 1268, 420, 11335, 704, 304, 5575, 42780, 374, 1401, 11, 369, 1054, 906, 439, 50794, 1205, 311, 15763, 279, 7434, 315, 5575, 14, 24247, 4441, 49148, 323, 279, 2410, 18479, 304, 279, 1847, 863, 320, 39, 59422, 11, 220, 1049, 23, 4390, 2520, 810, 2038, 11, 1518, 16607, 323, 65814, 469, 627, 48567, 26432, 13, 21579, 26432, 12192, 36870, 22599, 304, 459, 21416, 11827, 323, 21736, 1912, 10430, 430, 6276, 13324, 311, 41440, 8881, 389, 12659, 11, 12192, 6650, 323, 2349, 11, 3493, 264, 6220, 11, 26921, 323, 66388, 3634, 1405, 4236, 649, 7899, 10742, 11, 8881, 389, 872, 6725, 11, 323, 51696, 449, 18105, 311, 4048, 323, 3139, 320, 31820, 46, 11, 220, 679, 21, 68, 4390, 31988, 11821, 13, 46247, 11821, 374, 279, 1005, 315, 15664, 14282, 7819, 311, 2187, 369, 11821, 315, 14830, 11704, 11, 48513, 315, 12410, 323, 14830, 33811, 11, 8405, 5575, 1862, 323, 3674, 2065, 323, 7319, 51360, 11, 39242, 11, 12014, 323, 659, 91980, 320, 31820, 46, 11, 220, 679, 21, 68, 4390, 63507, 311, 1862, 659, 44107, 1191, 13, 26545, 4669, 1495, 1984, 11, 2930, 8486, 287, 11, 323, 14624, 311, 2890, 41206, 7493, 4669, 55346, 311, 7068, 63851, 649, 387, 1511, 439, 18699, 15174, 311, 12192, 21976, 323, 22599, 13, 46353, 16627, 7620, 1288, 6106, 430, 26613, 892, 11, 5070, 323, 10708, 320, 72, 1770, 2637, 892, 11, 6220, 3634, 11, 9966, 323, 27285, 2930, 25907, 8, 527, 3984, 311, 2187, 4236, 311, 4430, 323, 6725, 659, 22599, 320, 31820, 46, 11, 220, 679, 21, 68, 570, 1789, 810, 2038, 11, 1518, 16607, 304, 420, 3857, 627, 6777, 12092, 323, 21579, 44382, 198, 791, 2768, 527, 12917, 323, 6975, 7640, 430, 649, 387, 20011, 304, 279, 24978, 311, 4726, 1862, 37465, 304, 279, 18052, 315, 10334, 11, 16565, 323, 1888, 12659, 5552, 311, 52828, 6725, 627, 12, 11988, 9200, 63851, 389, 6725, 198, 12, 11988, 3560, 1514, 323, 538, 10430, 198, 12, 43807, 1920, 14975, 323, 6492, 320, 4151, 65814, 426, 11, 356, 11, 423, 340, 12, 44220, 320, 20885, 1534, 6978, 8, 320, 4151, 11360, 220, 22, 13, 17, 340, 12, 445, 2270, 3016, 3217, 6801, 5285, 3217, 320, 4151, 65814, 473, 340, 12, 35698, 535, 4477, 323, 8486, 287, 320, 4151, 65814, 469, 570, 35698, 535, 6725, 1555, 5439, 42780, 11, 10430, 5315, 477, 1023, 3445, 1253, 1101, 387, 1511, 311, 25670, 323, 2686, 279, 14604, 990, 315, 37465, 323, 279, 16033, 35104, 430, 37465, 323, 28456, 4236, 13123, 304, 872, 14830, 6725, 198, 12, 6075, 311, 2835, 6801, 9672, 15398, 477, 14830, 26350, 512, 12, 3639, 527, 499, 9298, 323, 11011, 30, 2650, 1053, 499, 7664, 279, 1732, 6801, 5285, 30, 3639, 527, 872, 36486, 30, 3459, 6468, 701, 15813, 1701, 36486, 6108, 11, 1732, 38043, 4221, 13, 3639, 656, 499, 1440, 30, 3639, 1541, 1431, 499, 1440, 30, 3639, 656, 499, 1205, 311, 1440, 304, 2015, 311, 29198, 13750, 304, 420, 6671, 30, 3639, 649, 499, 656, 30, 3639, 649, 1431, 499, 656, 30, 3639, 10723, 2890, 14, 93221, 4819, 649, 499, 10765, 30, 3639, 39455, 2643, 499, 3085, 30, 3639, 9200, 4860, 1587, 420, 15398, 4933, 5380, 43, 686, 1215, 60463, 24271, 198, 791, 2768, 527, 3463, 10039, 85, 10979, 323, 23387, 64060, 4860, 430, 649, 387, 1511, 311, 4726, 20954, 449, 28456, 4236, 9002, 659, 12, 36013, 535, 6725, 13, 4314, 4860, 649, 387, 1511, 3060, 311, 51077, 10430, 11, 16988, 4236, 304, 9200, 7422, 477, 387, 17791, 311, 538, 32272, 323, 5255, 22599, 23783, 627, 12, 3639, 374, 701, 8830, 315, 13654, 42208, 10723, 2890, 2512, 30, 32937, 82, 6108, 2512, 30, 7508, 6801, 5285, 21911, 1171, 2512, 30, 3639, 527, 701, 21463, 11, 6848, 323, 11704, 9002, 10723, 2890, 30, 38895, 17563, 5380, 12, 3639, 13189, 315, 10723, 2890, 14, 93221, 17563, 527, 499, 1455, 8173, 304, 323, 3249, 5380, 12, 3639, 527, 701, 10742, 37359, 24719, 811, 5380, 12, 3639, 3230, 11774, 527, 499, 13176, 304, 701, 28456, 7978, 323, 6725, 5380, 12, 3639, 527, 701, 36486, 5380, 12, 3639, 5789, 315, 6725, 656, 499, 2733, 1455, 16913, 304, 30, 91616, 16913, 5380, 12, 3639, 527, 701, 6975, 3966, 323, 9021, 5380, 12, 3639, 1053, 387, 1455, 11190, 311, 499, 520, 420, 892, 18480, 420, 6671, 5380, 83463, 323, 10323, 44107, 1191, 198, 791, 2768, 7526, 649, 387, 1511, 311, 15806, 4236, 304, 872, 8830, 323, 3851, 315, 659, 36013, 535, 6725, 627, 12, 18042, 1295, 659, 19812, 323, 9200, 22599, 555, 2737, 264, 5575, 659, 5773, 24756, 8739, 627, 12, 30379, 264, 52828, 6725, 3777, 304, 35359, 1413, 75533, 323, 56181, 26, 602, 1770, 2637, 2686, 3851, 311, 6725, 19579, 7649, 938, 668, 320, 10759, 269, 2065, 3196, 389, 54515, 8, 6677, 29017, 449, 1920, 14975, 16720, 11, 14847, 311, 14830, 26350, 323, 9071, 4860, 627, 45338, 3488, 25, 8886, 499, 41440, 38936, 701, 6299, 323, 11704, 67141, 311, 21953, 264, 502, 8830, 315, 279, 6671, 11, 323, 11469, 832, 753, 6725, 323, 14830, 6677, 5380, 12, 36639, 96336, 529, 10229, 315, 21193, 320, 31820, 46, 570, 320, 679, 21, 570, 28082, 11930, 304, 46353, 13, 14974, 11, 6328, 25, 36639, 96336, 529, 10229, 315, 21193, 627, 12, 36639, 96336, 529, 10229, 315, 21193, 320, 31820, 46, 570, 320, 679, 20, 570, 7508, 482, 323, 12517, 12, 5838, 1171, 10852, 13, 14974, 11, 6328, 25, 36639, 96336, 529, 10229, 315, 21193, 627, 12, 1838, 4008, 2301, 32497, 5983, 320, 679, 21, 570, 38895, 6401, 9849, 315, 7008, 13, 320, 1049, 24, 570, 41493, 569, 13654, 323, 1664, 33851, 25, 362, 12914, 369, 264, 38895, 6401, 28845, 369, 7008, 13, 38975, 11, 14469, 25, 7030, 627, 12, 6401, 1398, 69597, 13, 1115, 3997, 706, 27470, 2835, 323, 7855, 27203, 315, 3016, 84610, 323, 39555, 315, 17563, 323, 2890, 2512, 11704, 627, 12, 20661, 11, 435, 13, 386, 2637, 612, 32780, 11, 386, 13, 320, 1049, 17, 570, 362, 48006, 1646, 315, 2890, 323, 28456, 13, 10139, 315, 12517, 46353, 11, 220, 23, 7, 17, 705, 220, 4161, 12, 8878, 198, 12, 2052, 1751, 11, 393, 2637, 612, 44146, 14308, 11, 445, 13, 320, 1049, 17, 570, 34039, 287, 3987, 369, 13654, 505, 264, 8013, 13356, 25, 362, 3477, 315, 17649, 13, 12152, 10139, 315, 12332, 38895, 6401, 11, 220, 1691, 7, 18, 705, 220, 1032, 12, 1644, 627, 12, 21353, 11, 468, 13, 362, 13, 320, 2550, 18, 570, 35011, 505, 10723, 17563, 25, 578, 51346, 11376, 315, 279, 10723, 2890, 2532, 1887, 304, 279, 220, 2550, 15, 82, 13, 17680, 437, 2772, 81318, 8486, 11, 220, 845, 7, 19, 705, 220, 806, 627, 12, 426, 3023, 11, 423, 2637, 6706, 65036, 11, 432, 2637, 612, 23074, 11, 423, 13, 320, 3753, 20, 570, 43976, 25, 72633, 3217, 1139, 6975, 13, 7295, 25, 735, 30636, 5874, 627, 12, 82324, 11, 445, 13, 320, 679, 18, 570, 578, 12939, 315, 52828, 6725, 304, 28456, 13, 7327, 10139, 315, 356, 3329, 23199, 11, 220, 21, 7, 18, 705, 220, 16874, 627, 12, 3341, 818, 78829, 11, 435, 13, 362, 13, 320, 679, 18, 570, 1221, 7096, 287, 16033, 35104, 304, 28456, 25, 49183, 37465, 439, 16033, 13307, 13, 10315, 9265, 62224, 458, 9008, 409, 2998, 809, 76, 15003, 13, 220, 2287, 320, 8491, 1680, 1644, 12, 23, 627, 12, 3234, 2194, 11, 95884, 774, 5340, 376, 875, 612, 8909, 73872, 11, 356, 13, 320, 1049, 22, 570, 6649, 1697, 6725, 323, 28456, 30255, 91958, 304, 46353, 10170, 11, 220, 966, 7, 18, 705, 220, 5926, 4235, 10866, 627, 12, 435, 425, 7881, 11, 358, 2637, 612, 49720, 2715, 942, 11, 356, 13, 320, 1049, 19, 570, 43976, 11, 279, 1648, 311, 6721, 4500, 30, 10139, 315, 33135, 46353, 11, 220, 1032, 11, 220, 13460, 12, 11209, 627, 12, 53517, 261, 12, 2782, 4102, 11, 735, 2637, 44312, 11, 432, 13, 386, 2637, 14659, 458, 11, 468, 2637, 43316, 27782, 11, 622, 13, 362, 2637, 11586, 20554, 936, 11, 435, 2637, 612, 6984, 11, 362, 13, 320, 1049, 21, 570, 35698, 535, 12917, 12659, 25, 459, 5603, 311, 12917, 10758, 7512, 304, 264, 2678, 4449, 6376, 13, 42170, 19152, 11, 220, 5932, 7, 22, 705, 220, 24495, 12, 21975, 627, 12, 26952, 11, 622, 2637, 7553, 273, 347, 11, 362, 2637, 612, 30960, 11, 735, 13, 320, 1049, 24, 570, 43976, 323, 52828, 6725, 304, 2890, 69792, 6873, 25, 264, 37538, 3477, 11, 220, 975, 7, 19, 705, 220, 22754, 12, 22488, 627 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 26509, 1543, 61027, 29140, 469, 15202, 3700, 12037, 315, 400, 19, 13, 2839, 369, 220, 1049, 17, 323, 400, 15, 13, 3264, 369, 279, 36174, 35494, 198, 89703, 8502, 4272, 24608, 1051, 400, 17786, 3610, 13, 469, 15202, 824, 80703, 4430, 1051, 400, 15, 13, 3264, 7863, 311, 400, 15, 13, 6365, 369, 279, 1890, 220, 1049, 16, 8502, 323, 400, 16, 13, 410, 369, 279, 4948, 8502, 315, 220, 1049, 17, 13, 25992, 1534, 471, 389, 5578, 50401, 41777, 6, 25452, 320, 16, 8, 574, 220, 975, 13, 19, 4, 323, 9974, 1534, 471, 389, 5578, 41777, 6, 25452, 574, 220, 605, 13, 22, 4, 369, 279, 11999, 8502, 627, 81596, 8184, 53300, 198, 12, 48428, 61027, 35363, 1202, 11692, 2361, 304, 3728, 18970, 388, 323, 63948, 11, 23862, 1176, 304, 7376, 323, 8308, 14463, 13, 578, 7626, 26160, 389, 8254, 315, 279, 5899, 7928, 12789, 8308, 304, 220, 1049, 17, 13, 320, 17, 340, 12, 578, 7626, 574, 279, 6522, 1234, 18688, 315, 3728, 586, 5708, 33935, 304, 220, 1049, 17, 323, 21682, 2132, 304, 3728, 2926, 586, 33935, 13127, 17, 340, 12, 20755, 33620, 11, 29553, 323, 79280, 1385, 320, 37, 88302, 8, 8066, 3335, 4272, 30466, 315, 400, 19, 13, 2618, 7239, 627, 12, 23429, 9744, 17427, 3335, 4272, 30466, 315, 400, 16, 13, 2397, 7239, 13, 41738, 1234, 6373, 1051, 400, 19746, 7239, 11, 449, 4272, 9513, 4704, 4336, 315, 400, 24, 7239, 2391, 279, 1060, 627, 95963, 3135, 369, 279, 1060, 8881, 279, 11774, 315, 279, 4676, 11, 814, 1101, 20461, 1057, 5845, 311, 9203, 304, 5107, 11987, 323, 10519, 20900, 26434, 1359, 1071, 18063, 386, 13, 7043, 942, 11, 16014, 2637, 27390, 323, 14681, 18362, 20148, 13, 330, 23274, 8469, 11, 1057, 12410, 304, 279, 8333, 315, 1057, 19562, 323, 304, 48428, 61027, 6, 1317, 9860, 27949, 8625, 1579, 11, 719, 584, 3136, 311, 387, 46878, 304, 1057, 3221, 9860, 51165, 10246, 7099, 30466, 304, 33350, 50599, 1051, 400, 17, 13, 6069, 7239, 369, 279, 1060, 7863, 311, 400, 18, 13, 5833, 7239, 304, 220, 1049, 16, 627, 7099, 30466, 304, 17961, 45013, 25983, 220, 1591, 4, 505, 279, 4972, 1060, 311, 400, 16, 13, 1135, 7239, 11, 42852, 264, 220, 2491, 4, 18174, 304, 5064, 25480, 8308, 18970, 388, 323, 63948, 13, 320, 18, 8, 9558, 30466, 304, 279, 7626, 596, 9636, 26372, 2626, 19284, 220, 914, 4, 311, 400, 16, 13, 1644, 7239, 11, 15871, 42852, 264, 220, 1114, 4, 18174, 304, 5064, 25480, 2926, 586, 33935, 323, 264, 220, 22, 4, 18174, 304, 5064, 25480, 2860, 25452, 1234, 26372, 8286, 11, 320, 18, 8, 439, 1664, 439, 4827, 4272, 30466, 505, 11897, 1234, 26372, 627, 791, 14278, 304, 33350, 50599, 4272, 30466, 574, 15871, 4245, 311, 4827, 5990, 315, 5820, 4028, 682, 26593, 11, 8104, 17320, 11, 3772, 323, 16924, 11, 5933, 5070, 11, 1579, 5557, 323, 18985, 13, 578, 7626, 596, 9341, 23641, 71822, 7319, 10284, 2391, 279, 11999, 8502, 719, 574, 12207, 4827, 1109, 520, 279, 842, 315, 220, 1049, 16, 627, 7099, 30466, 304, 33350, 50599, 1051, 400, 21123, 3610, 11, 7863, 311, 400, 25314, 3610, 369, 279, 11999, 8502, 315, 220, 1049, 16, 323, 400, 23181, 3610, 369, 279, 4948, 8502, 315, 220, 1049, 17, 627, 7099, 30466, 304, 17961, 45013, 1051, 400, 15531, 3610, 11, 7863, 311, 400, 19162, 3610, 369, 279, 11999, 8502, 315, 220, 1049, 16, 11, 42852, 12207, 11293, 5064, 25480, 5820, 304, 18970, 388, 323, 63948, 13, 9558, 30466, 304, 279, 7626, 596, 9636, 26372, 2626, 1051, 400, 10697, 3610, 7863, 311, 400, 17763, 3610, 369, 279, 1890, 220, 1049, 16, 4261, 11, 15871, 42852, 4827, 25452, 67599, 5820, 627, 97261, 323, 37409, 77990, 198, 7099, 30466, 304, 32704, 323, 37409, 77990, 1051, 400, 20, 13, 914, 7239, 369, 279, 1060, 11, 7863, 311, 400, 21, 13, 1758, 7239, 304, 220, 1049, 16, 627, 37, 88302, 4272, 30466, 315, 400, 19, 13, 2618, 7239, 7319, 220, 605, 4, 7863, 311, 220, 1049, 16, 11, 42852, 3831, 24601, 304, 279, 7626, 596, 36702, 11, 61998, 11, 8521, 8070, 43645, 11, 323, 9341, 41327, 6807, 9873, 11, 26310, 4445, 555, 25983, 4272, 30466, 304, 51967, 323, 28605, 3359, 17452, 627, 7099, 30466, 304, 11964, 1385, 1051, 400, 16, 13, 1721, 7239, 7863, 311, 400, 17, 13, 6083, 7239, 369, 220, 1049, 16, 11, 15871, 42852, 4827, 4272, 30466, 304, 279, 7626, 596, 3728, 13551, 9873, 11, 902, 1051, 11754, 555, 279, 8738, 23948, 304, 279, 25452, 11987, 11, 279, 8481, 315, 279, 39322, 74307, 11307, 6108, 2626, 1139, 1219, 5287, 320, 19, 8, 323, 279, 8389, 2515, 315, 264, 3254, 2565, 6696, 304, 279, 1176, 8502, 315, 220, 1049, 17, 13, 763, 5369, 11, 4272, 30466, 304, 25452, 43645, 323, 25452, 17114, 48468, 1051, 4827, 1109, 279, 4972, 1060, 627, 32871, 77990, 12715, 8389, 4272, 30466, 315, 400, 14378, 3610, 15871, 4245, 311, 58054, 304, 279, 907, 315, 3738, 22538, 304, 279, 1579, 5557, 323, 62866, 26593, 11, 26310, 4445, 555, 1972, 12675, 323, 4907, 10706, 46096, 20192, 627, 2170, 315, 6841, 220, 1682, 11, 220, 1049, 17, 11, 279, 24069, 15691, 907, 315, 279, 7626, 596, 12717, 22538, 5762, 6089, 477, 1555, 279, 7626, 596, 30338, 23641, 10736, 574, 400, 16, 13, 2495, 7239, 11, 31706, 315, 13166, 12717, 22538, 315, 400, 16, 13, 2371, 7239, 323, 1972, 12675, 12717, 22538, 315, 400, 23800, 3610, 627, 7099, 30466, 304, 32704, 323, 37409, 77990, 1051, 400, 19146, 3610, 369, 279, 11999, 8502, 11, 220, 1691, 4, 3770, 279, 11999, 8502, 315, 220, 1049, 16, 323, 220, 1958, 4, 3770, 279, 4948, 8502, 315, 220, 1049, 17, 627, 37, 88302, 4272, 30466, 1051, 400, 24531, 3610, 7863, 311, 400, 26013, 3610, 369, 279, 11999, 8502, 315, 220, 1049, 16, 11, 42852, 4827, 4272, 30466, 304, 51967, 11, 8521, 8070, 43645, 323, 3728, 3300, 11987, 11, 26310, 4445, 555, 3831, 24601, 304, 279, 7626, 596, 36702, 323, 9341, 41327, 6807, 9873, 627, 7099, 30466, 304, 11964, 1385, 1051, 400, 7854, 3610, 7863, 311, 400, 19305, 3610, 369, 279, 11999, 8502, 315, 220, 1049, 16, 11, 15871, 42852, 4827, 4272, 30466, 304, 279, 7626, 596, 3728, 13551, 9873, 11, 304, 961, 4245, 311, 279, 8481, 315, 279, 39322, 74307, 11307, 6108, 2626, 1139, 1219, 5287, 320, 19, 705, 439, 1664, 439, 4827, 4272, 30466, 304, 25452, 43645, 11, 26310, 4445, 555, 5190, 4272, 30466, 304, 25452, 17114, 48468, 627, 32871, 77990, 12715, 8389, 4272, 30466, 315, 400, 22, 3610, 11, 15871, 4245, 311, 58054, 304, 279, 907, 315, 3738, 879, 22538, 11, 26310, 4445, 555, 1972, 12675, 46096, 20192, 627, 17015, 9744, 323, 46272, 8471, 198, 7099, 30466, 304, 23429, 9744, 323, 46272, 8471, 1051, 400, 20, 13, 5925, 7239, 369, 279, 1060, 11, 220, 20, 4, 5190, 1109, 220, 1049, 16, 627, 17015, 9744, 4272, 30466, 315, 400, 16, 13, 2397, 7239, 7319, 220, 717, 4, 7863, 311, 1566, 1060, 11, 15871, 42852, 459, 220, 23, 4, 5376, 304, 5578, 12032, 1234, 6373, 323, 7319, 36210, 8070, 13, 41738, 1234, 6373, 1051, 400, 19746, 7239, 520, 279, 842, 315, 220, 1049, 17, 11, 16168, 10269, 7863, 311, 279, 842, 315, 220, 1049, 16, 13, 8152, 94189, 315, 400, 717, 7239, 11, 15871, 304, 25452, 12032, 11, 574, 26310, 4445, 555, 4272, 9513, 4704, 4336, 315, 400, 24, 7239, 11, 15871, 304, 8521, 8070, 323, 25452, 12032, 627, 8596, 38333, 8471, 4272, 30466, 1051, 400, 25643, 3610, 7863, 311, 400, 16, 13, 1032, 7239, 369, 220, 1049, 16, 11, 15871, 42852, 4827, 4272, 30466, 304, 279, 7626, 596, 4850, 40651, 2626, 323, 8521, 8070, 18545, 2363, 627, 1110, 5287, 1051, 400, 18, 13, 1544, 7239, 11, 709, 220, 23, 4, 7863, 311, 220, 1049, 16, 11, 15871, 4245, 311, 7319, 4272, 30466, 304, 279, 7626, 596, 13551, 9873, 11, 304, 961, 4245, 311, 279, 8481, 315, 279, 39322, 74307, 11307, 6108, 2626, 1139, 1219, 5287, 11, 26310, 4445, 555, 4827, 30338, 23641, 36555, 320, 72, 1770, 2637, 459, 7319, 4430, 315, 264, 3887, 596, 8070, 323, 20192, 994, 279, 471, 389, 279, 3887, 596, 22538, 36375, 3738, 12447, 4780, 8, 323, 11293, 33850, 12718, 627, 7099, 30466, 304, 23429, 9744, 323, 46272, 8471, 1051, 400, 16, 13, 1987, 7239, 11, 16168, 35957, 7863, 311, 279, 11999, 8502, 315, 220, 1049, 16, 323, 220, 24, 4, 4827, 1109, 279, 4948, 8502, 315, 220, 1049, 17, 627, 17015, 9744, 4272, 30466, 315, 400, 20062, 3610, 7319, 220, 20, 4, 7863, 311, 1566, 1060, 596, 11999, 8502, 11, 15871, 4245, 311, 5190, 6373, 12718, 323, 7319, 36210, 8070, 13, 12220, 279, 8502, 11, 12032, 1234, 6373, 7319, 220, 19, 4, 42852, 400, 605, 7239, 304, 4272, 9513, 4704, 4336, 11, 15871, 304, 3300, 3157, 323, 25452, 12032, 11, 323, 400, 17, 7239, 304, 3157, 35996, 627, 8596, 38333, 8471, 4272, 30466, 1051, 400, 14205, 3610, 7863, 311, 400, 10914, 3610, 369, 279, 11999, 8502, 315, 220, 1049, 16, 11, 15871, 42852, 4827, 4272, 30466, 304, 279, 7626, 596, 8521, 8070, 18545, 2363, 323, 4850, 40651, 2626, 3034, 5287, 1051, 400, 25560, 3610, 7863, 311, 400, 24626, 3610, 369, 279, 1890, 4261, 1566, 1060, 11, 42852, 5190, 25452, 54764, 11, 304, 961, 4245, 311, 279, 8481, 315, 279, 39322, 74307, 11307, 6108, 2626, 1139, 1219, 5287, 11, 26310, 4445, 555, 4827, 30338, 23641, 36555, 627, 59247, 18512, 1051, 400, 605, 13, 5958, 7239, 369, 220, 1049, 17, 11, 220, 806, 4, 3770, 220, 1049, 16, 627, 13864, 42725, 323, 7720, 315, 400, 21, 13, 5728, 7239, 25983, 220, 717, 4, 7863, 311, 279, 4972, 1060, 11, 1081, 729, 62259, 449, 4827, 4272, 13254, 5990, 13, 578, 11595, 315, 20448, 323, 7720, 311, 4272, 30466, 369, 20323, 1060, 220, 1049, 17, 574, 220, 2166, 4, 7863, 311, 220, 2491, 4, 369, 20323, 220, 1049, 16, 13, 41952, 5990, 25983, 220, 1032, 4, 505, 6841, 220, 1049, 16, 627, 8284, 63250, 42725, 14228, 18512, 1051, 400, 18, 13, 2031, 7239, 369, 220, 1049, 17, 11, 220, 21, 4, 3770, 220, 1049, 16, 13, 1398, 11150, 93364, 2065, 315, 82746, 323, 1023, 528, 61186, 12032, 11, 1521, 18512, 25983, 220, 18, 4, 7863, 311, 1566, 1060, 42852, 4827, 3157, 4500, 323, 17320, 323, 5557, 7194, 11, 26310, 4445, 555, 5190, 66419, 18512, 13, 3383, 371, 2065, 315, 82746, 323, 1023, 528, 61186, 12032, 574, 4827, 1109, 304, 220, 1049, 16, 42852, 279, 25375, 315, 279, 82746, 2536, 33317, 371, 2065, 19705, 315, 22504, 315, 17961, 45344, 35653, 2360, 13, 220, 10239, 11, 330, 15571, 14724, 323, 7089, 1357, 61186, 41738, 10246, 791, 7524, 8070, 3827, 4478, 369, 220, 1049, 17, 574, 220, 1758, 13, 15, 13689, 1523, 505, 220, 1806, 13, 20, 4, 369, 220, 1049, 16, 13, 578, 18174, 304, 279, 7524, 8070, 3827, 4478, 439, 7863, 311, 220, 1049, 16, 574, 15871, 4245, 311, 264, 2349, 304, 279, 7626, 596, 46139, 24608, 6651, 11093, 449, 14529, 9045, 311, 5625, 3682, 10565, 72202, 2212, 279, 1917, 311, 13166, 1376, 11, 459, 5376, 304, 3827, 10397, 21643, 8070, 323, 459, 5376, 304, 13018, 3827, 20746, 627, 2170, 315, 6841, 220, 1682, 11, 220, 1049, 17, 11, 2860, 6864, 574, 400, 3226, 13, 6028, 7239, 11, 31706, 315, 400, 777, 13, 410, 7239, 304, 41777, 6, 25452, 323, 400, 1987, 13, 6028, 7239, 304, 1317, 9860, 11897, 13, 6017, 907, 824, 4430, 574, 400, 1987, 13, 3076, 11, 3196, 389, 4279, 13551, 19310, 11, 2737, 22486, 5708, 8316, 11938, 311, 8420, 449, 912, 3938, 2532, 8670, 11, 315, 220, 21824, 13, 17, 3610, 520, 4261, 842, 8231, 6841, 220, 508, 11, 220, 1049, 17, 11, 279, 8925, 315, 46085, 315, 578, 48428, 61027, 5856, 11, 4953, 13, 320, 1820, 8925, 8, 19144, 279, 2109, 13173, 315, 459, 5217, 220, 868, 3610, 13551, 315, 4279, 5708, 33549, 311, 279, 7626, 596, 6484, 4430, 2109, 13173, 2068, 13, 578, 7626, 2109, 73350, 220, 777, 13, 19, 3610, 13551, 315, 1202, 4279, 5708, 2391, 220, 1049, 17, 11, 2737, 220, 21, 13, 19, 3610, 13551, 304, 279, 11999, 8502, 13, 578, 9861, 4430, 24645, 1234, 279, 2109, 13173, 2068, 11, 2737, 279, 13945, 12, 19626, 3392, 11, 374, 220, 777, 13, 18, 3610, 13551, 627, 61116, 16, 45046, 51, 61186, 41777, 6, 25452, 11, 902, 64468, 82746, 323, 1023, 528, 61186, 12032, 11, 11105, 279, 25452, 27167, 304, 279, 9873, 315, 48428, 61027, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 644, 279, 28929, 315, 279, 386, 4881, 198, 18820, 9052, 14502, 8393, 198, 644, 279, 28929, 315, 279, 386, 4881, 25, 25117, 82, 505, 279, 22010, 20005, 3907, 5277, 11348, 11, 81154, 988, 1403, 35901, 5199, 4455, 304, 11904, 3778, 1989, 3925, 11, 279, 220, 2031, 339, 22310, 315, 279, 18488, 315, 279, 4526, 323, 279, 220, 1399, 339, 1060, 22310, 315, 279, 92588, 315, 67251, 12404, 81, 1386, 753, 74473, 11, 578, 5277, 315, 279, 57147, 13, 578, 8286, 374, 19685, 555, 64787, 23880, 69783, 3258, 323, 29808, 356, 620, 372, 320, 85917, 20005, 3907, 11, 220, 679, 17, 4390, 791, 1989, 4526, 69944, 1202, 14209, 311, 279, 11904, 3778, 19071, 87490, 11, 67251, 12404, 81, 1386, 13, 20005, 3907, 323, 22010, 9304, 1051, 8821, 14673, 1243, 11, 54477, 1139, 22010, 20005, 3907, 1193, 304, 220, 3753, 23, 13, 2468, 279, 29788, 315, 3842, 18231, 11, 20005, 3907, 596, 1176, 11904, 3778, 4872, 11, 12404, 81, 1386, 11096, 20005, 3907, 304, 220, 7285, 16, 311, 1212, 459, 1989, 9476, 13, 35403, 7214, 11, 568, 11223, 832, 315, 279, 1455, 3062, 323, 32855, 1989, 28271, 430, 279, 1772, 29519, 372, 4987, 1053, 3217, 304, 279, 6617, 11639, 13, 12404, 81, 1386, 11223, 264, 2380, 27748, 647, 291, 12914, 311, 3493, 11904, 3778, 13820, 264, 22150, 311, 1501, 872, 990, 11, 3493, 1124, 449, 8515, 38508, 323, 4430, 872, 29409, 449, 279, 4029, 520, 3544, 13, 578, 38508, 1051, 36580, 369, 13820, 311, 2274, 872, 7512, 555, 17843, 9863, 369, 20005, 3907, 311, 7782, 627, 644, 279, 12531, 315, 220, 6393, 17, 11, 12404, 81, 1386, 5602, 813, 14050, 2586, 311, 94706, 13, 578, 1633, 1176, 68033, 315, 17646, 826, 11, 50385, 11, 323, 83797, 554, 555, 57147, 53204, 315, 5270, 9107, 13, 49669, 220, 966, 16422, 1142, 70864, 30638, 555, 20005, 3907, 1053, 387, 5762, 30171, 3156, 220, 4468, 15, 13, 4314, 70864, 1053, 3010, 387, 2663, 20005, 3907, 5277, 25992, 82, 13, 9062, 20162, 311, 279, 6650, 315, 279, 5277, 11348, 11, 449, 20005, 3907, 596, 24393, 315, 279, 1948, 38508, 315, 5707, 323, 3090, 3506, 36692, 11, 24370, 11, 323, 75973, 13, 763, 2860, 11, 279, 9974, 70864, 27528, 220, 17335, 9863, 369, 279, 6332, 4526, 13, 4418, 811, 505, 1989, 52860, 323, 63948, 617, 15042, 279, 5277, 11348, 311, 922, 220, 16, 11, 1049, 9863, 13, 578, 6156, 5357, 9731, 311, 387, 11904, 3778, 1989, 11, 719, 4375, 555, 1023, 13820, 315, 1933, 527, 1101, 5343, 627, 15527, 1639, 311, 19678, 279, 1176, 1989, 9974, 304, 220, 6393, 17, 11, 1708, 467, 83022, 11, 279, 864, 336, 14168, 18640, 11, 55475, 11, 323, 7216, 2025, 315, 279, 83852, 55383, 11, 9076, 279, 8736, 24208, 311, 1148, 1053, 3719, 279, 99589, 1567, 369, 3369, 385, 417, 36634, 315, 11904, 3778, 1989, 304, 279, 3723, 4273, 4994, 315, 1561, 4356, 4409, 13, 763, 813, 5224, 11, 83022, 73897, 279, 87435, 4754, 315, 279, 19071, 304, 279, 330, 26070, 1974, 1359, 902, 11, 439, 568, 19698, 11, 330, 14724, 4546, 9498, 6650, 323, 11984, 9257, 14098, 2029, 1628, 13118, 11, 279, 1989, 9974, 82, 19168, 311, 387, 5016, 304, 872, 9131, 13, 6104, 13820, 1093, 25537, 28574, 11, 889, 2834, 304, 220, 6393, 22, 369, 813, 34076, 19250, 380, 53161, 5707, 19354, 7199, 1974, 11, 1053, 9966, 264, 2035, 2949, 279, 44916, 315, 3778, 1989, 11, 3885, 1053, 617, 1193, 872, 22643, 12845, 439, 872, 20160, 13, 1556, 3187, 315, 420, 374, 279, 659, 2442, 64, 3948, 31676, 285, 10845, 21152, 589, 13, 5414, 29036, 11549, 26569, 5707, 19354, 11, 6914, 3296, 70, 3233, 2893, 3296, 70, 3233, 11, 2834, 304, 220, 5162, 19, 13, 578, 9974, 28099, 43603, 459, 77271, 20631, 9090, 11, 369, 2225, 16572, 13820, 323, 659, 2442, 64, 3948, 13820, 1436, 9502, 29409, 311, 387, 45487, 627, 3923, 13016, 690, 1505, 5505, 323, 1218, 4171, 17157, 304, 763, 279, 28929, 315, 279, 386, 4881, 374, 279, 23649, 323, 4661, 3221, 4686, 14843, 5247, 315, 279, 29409, 19426, 1555, 279, 1989, 9974, 82, 13, 578, 1933, 14843, 5247, 315, 279, 29409, 323, 279, 24442, 3649, 315, 279, 38508, 323, 279, 11725, 315, 21928, 3697, 690, 9504, 2225, 1989, 51801, 323, 11203, 1989, 9989, 81390, 27083, 13, 26560, 30450, 17057, 11, 279, 29409, 12716, 1139, 3177, 279, 7958, 535, 323, 3674, 7625, 648, 355, 315, 279, 13820, 323, 279, 11904, 3778, 4029, 304, 279, 3723, 4273, 2155, 3544, 13, 578, 2363, 1101, 5727, 6160, 67245, 315, 682, 279, 13820, 15609, 304, 279, 1989, 4526, 11, 439, 1664, 439, 5217, 14843, 5247, 315, 34468, 323, 19426, 9863, 13, 578, 2363, 5727, 95047, 3769, 439, 1664, 25, 25232, 11, 12197, 1990, 11904, 3778, 10255, 12036, 548, 2893, 8506, 323, 1243, 20005, 3907, 4872, 99257, 355, 53227, 9002, 279, 19739, 18525, 1968, 315, 279, 1989, 9974, 82, 11, 323, 14843, 5247, 315, 7554, 1989, 9863, 505, 279, 6332, 4526, 13, 763, 279, 28929, 315, 279, 386, 4881, 1101, 5764, 11236, 315, 220, 6393, 20, 323, 220, 6280, 16, 4212, 14756, 8544, 315, 279, 1989, 9974, 82, 13, 11995, 8544, 1028, 1430, 389, 45207, 22100, 11, 323, 19347, 315, 3230, 9863, 527, 73354, 3340, 449, 63692, 15433, 6848, 922, 7102, 304, 279, 60138, 529, 13865, 311, 1304, 5647, 315, 279, 56755, 1413, 7739, 304, 279, 29409, 13, 19173, 11, 279, 4212, 60138, 1193, 83933, 279, 7479, 627, 644, 279, 28929, 315, 279, 386, 4881, 45799, 279, 8987, 17413, 9277, 2403, 11904, 9053, 304, 279, 4987, 13, 23150, 11, 584, 1205, 1193, 311, 6227, 430, 1521, 1989, 9974, 82, 22763, 323, 20415, 3384, 2391, 264, 85677, 9373, 4261, 315, 3778, 3925, 13, 763, 279, 220, 6393, 15, 82, 323, 220, 6280, 15, 82, 11, 11904, 3778, 10977, 7559, 304, 1148, 83022, 304, 813, 54559, 8982, 2663, 1054, 1820, 4987, 1974, 863, 8738, 311, 387, 43643, 3359, 555, 11641, 27991, 19739, 17294, 4028, 682, 26593, 315, 16642, 8396, 13, 432, 33211, 64244, 574, 439, 78014, 439, 279, 7446, 9349, 323, 43215, 4633, 8982, 69177, 9017, 11904, 9053, 13, 4314, 27467, 36742, 50446, 315, 11904, 3778, 2324, 1051, 3629, 12979, 811, 369, 1690, 315, 279, 97549, 13, 1666, 64787, 69783, 3258, 8554, 315, 279, 6332, 1989, 4526, 25, 1054, 52025, 50615, 555, 56755, 1413, 2262, 11, 279, 46350, 22100, 527, 20167, 367, 11, 42775, 11, 3925, 11, 17779, 11, 13901, 11, 323, 2700, 969, 9464, 49216, 48900, 299, 25525, 320, 6280, 17, 8, 555, 3842, 12404, 654, 17882, 41255, 459, 6666, 311, 2700, 969, 9464, 323, 506, 29246, 279, 3674, 10182, 315, 279, 1938, 6957, 279, 10247, 13, 6385, 6548, 2019, 433, 682, 13, 3161, 279, 1212, 315, 4435, 5111, 8105, 323, 279, 20852, 315, 1690, 11904, 3778, 15201, 304, 279, 4208, 11, 433, 4131, 439, 912, 13051, 430, 36692, 1093, 3842, 12404, 654, 17882, 753, 5348, 53529, 320, 6393, 18, 8, 323, 4488, 60350, 1468, 753, 17326, 315, 279, 220, 18044, 339, 320, 77, 962, 6266, 20599, 279, 14604, 26936, 430, 4435, 5111, 8105, 69177, 389, 11904, 3778, 15201, 323, 872, 8689, 13, 11995, 4375, 2834, 38508, 520, 279, 70864, 13, 1666, 279, 8294, 7060, 1989, 1917, 8738, 311, 18890, 279, 48188, 315, 279, 8278, 7645, 380, 7351, 304, 279, 220, 6280, 15, 82, 11, 10255, 1093, 55357, 483, 14583, 620, 1409, 304, 578, 5348, 23844, 320, 77, 962, 6266, 323, 20643, 328, 13, 4584, 8991, 753, 53662, 311, 264, 44730, 320, 77, 962, 6266, 1053, 33508, 279, 4221, 323, 7739, 315, 8278, 7645, 2191, 304, 872, 990, 11, 719, 1053, 539, 312, 5096, 1376, 24923, 2262, 13, 26848, 11, 2225, 13820, 72903, 872, 36692, 449, 279, 6225, 13757, 323, 19567, 45445, 304, 279, 9090, 315, 11904, 3778, 7829, 439, 34997, 32629, 1550, 304, 872, 62644, 11026, 4972, 627, 791, 10383, 315, 279, 16803, 10734, 29098, 1101, 1766, 1202, 1648, 1139, 279, 1989, 9974, 82, 11, 11951, 304, 279, 1566, 1501, 304, 220, 4468, 15, 11, 994, 682, 315, 279, 3697, 315, 279, 96371, 315, 25117, 1051, 11904, 3778, 22416, 1176, 892, 323, 279, 1566, 13, 1102, 374, 5922, 27401, 430, 279, 11230, 439, 28111, 425, 51067, 304, 279, 220, 4468, 15, 28099, 574, 7957, 21324, 753, 578, 3778, 19198, 29646, 320, 5162, 24, 8, 430, 11, 304, 1202, 17832, 4633, 1648, 11, 7891, 2740, 6170, 389, 279, 10205, 315, 3776, 60533, 323, 8431, 3268, 11759, 315, 279, 220, 5162, 15, 82, 13, 578, 990, 4519, 2380, 18768, 95573, 16766, 11, 86045, 10215, 11, 323, 4018, 704, 9958, 682, 24937, 304, 3776, 11, 449, 279, 1193, 1933, 1694, 264, 15792, 45667, 315, 2579, 11, 4251, 11, 323, 6437, 627, 60978, 1147, 4740, 220, 1399, 23116, 198, 39, 1604, 12404, 81, 1386, 753, 74473, 11, 578, 5277, 315, 279, 57147, 11, 574, 39297, 520, 20005, 3907, 304, 220, 6280, 17, 13, 12404, 81, 1386, 46430, 7725, 1234, 24160, 74473, 380, 18842, 64210, 11, 323, 64210, 753, 10383, 649, 387, 31368, 30652, 304, 12404, 81, 1386, 753, 1866, 74473, 990, 13, 9086, 64210, 11, 12404, 81, 1386, 3629, 10968, 389, 13970, 323, 13042, 22100, 11, 29040, 29865, 12628, 315, 5054, 927, 92745, 13, 578, 12908, 304, 12404, 81, 1386, 753, 8309, 1147, 527, 97617, 19937, 449, 12678, 323, 6302, 11, 30164, 6485, 3686, 1608, 7922, 11904, 3778, 13970, 58378, 13, 1226, 1205, 1193, 1427, 520, 12404, 81, 1386, 753, 1455, 64747, 2380, 39552, 839, 3383, 380, 329, 15356, 1147, 11, 44224, 555, 42202, 329, 11437, 9304, 304, 220, 7285, 23, 11, 311, 636, 264, 5647, 315, 12404, 81, 1386, 753, 12034, 304, 14393, 19739, 97547, 1555, 279, 2219, 22155, 315, 56375, 4455, 323, 12678, 304, 11904, 3778, 3925, 627, 1687, 1101, 1518, 64210, 753, 10383, 304, 279, 5627, 430, 12404, 81, 1386, 15609, 279, 3823, 1376, 11, 459, 3187, 315, 42590, 44547, 9473, 430, 12404, 81, 1386, 1053, 15596, 1139, 311, 8356, 578, 5277, 315, 279, 57147, 74473, 2000, 20005, 3907, 13, 578, 6666, 311, 6928, 11904, 3778, 9302, 58378, 1053, 3719, 12404, 81, 1386, 753, 27409, 85339, 323, 1053, 8641, 1461, 304, 279, 5788, 315, 578, 5277, 315, 279, 57147, 369, 3113, 304, 279, 100016, 315, 279, 54651, 1676, 83824, 11896, 627, 644, 279, 28929, 315, 279, 386, 4881, 5764, 14843, 5247, 315, 12404, 81, 1386, 753, 7978, 369, 279, 8309, 1147, 439, 1664, 439, 279, 1620, 74473, 9863, 430, 527, 5131, 304, 279, 54651, 1676, 83824, 4857, 13, 7429, 5343, 304, 279, 2363, 374, 459, 70162, 9071, 555, 1989, 44068, 29808, 356, 620, 372, 430, 5825, 13970, 2317, 323, 9200, 40174, 315, 12404, 81, 1386, 753, 578, 5277, 315, 279, 57147, 7978, 323, 279, 1620, 74473, 1457, 389, 3113, 627, 791, 5277, 315, 279, 57147, 40405, 82, 12404, 81, 1386, 753, 4219, 287, 315, 11904, 320, 37576, 8, 13162, 323, 872, 12939, 311, 279, 8294, 19775, 315, 11104, 6677, 5788, 13, 578, 15671, 315, 279, 1855, 315, 279, 21988, 315, 279, 74473, 3493, 264, 19775, 15952, 369, 1202, 22511, 13, 578, 15671, 3351, 505, 17118, 24485, 11, 5783, 3455, 11, 52132, 49686, 311, 4366, 5164, 4835, 11, 88654, 2436, 11, 323, 386, 4881, 13, 5277, 13970, 32313, 315, 11104, 1989, 3629, 3240, 449, 20954, 315, 26457, 36692, 315, 16132, 936, 2249, 304, 9822, 13, 12404, 81, 1386, 11, 4869, 11, 312, 1710, 1439, 279, 26434, 315, 1989, 3925, 753, 6371, 3446, 555, 25012, 66738, 95563, 520, 1202, 4219, 304, 279, 7090, 17118, 24485, 13, 1283, 1101, 11105, 11904, 34453, 304, 11104, 4248, 67521, 2508, 439, 3970, 304, 5783, 3455, 439, 1664, 439, 11904, 34453, 304, 11104, 67323, 304, 279, 20697, 398, 25891, 7090, 88654, 2436, 627, 644, 279, 1794, 655, 7090, 52132, 49686, 11, 12404, 81, 1386, 1587, 539, 33394, 3201, 505, 60794, 279, 9349, 315, 37683, 2191, 26, 4856, 568, 19169, 279, 25984, 20124, 315, 37683, 2191, 1555, 19354, 279, 19814, 315, 11904, 6302, 13, 52132, 49686, 11, 810, 44029, 11, 21881, 311, 279, 94444, 37822, 315, 11904, 32692, 32006, 627, 644, 279, 1620, 7090, 11, 386, 4881, 11, 12404, 81, 1386, 665, 41115, 279, 1380, 44541, 950, 70800, 1990, 279, 11904, 10255, 520, 4219, 304, 813, 39678, 7515, 65, 323, 279, 13820, 315, 1933, 14932, 1461, 13, 9062, 315, 279, 12678, 430, 9172, 279, 8792, 7216, 706, 8272, 304, 279, 11904, 893, 753, 60802, 13, 578, 11904, 7216, 520, 4219, 374, 872, 39948, 13, 14968, 11, 279, 1023, 3026, 304, 279, 7090, 617, 1101, 3719, 3167, 288, 304, 872, 1866, 1314, 927, 279, 1667, 311, 279, 1690, 4236, 323 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 13721, 505, 20776, 2199, 512, 3624, 95407, 753, 220, 679, 20, 12, 845, 3280, 9107, 389, 6664, 220, 972, 339, 449, 264, 49277, 21497, 555, 279, 40505, 59129, 70184, 295, 520, 39956, 5234, 6150, 13, 763, 279, 8736, 42258, 743, 11, 1855, 4562, 11784, 1077, 7682, 318, 726, 449, 459, 32399, 28902, 13839, 13, 3011, 20536, 449, 264, 13826, 444, 818, 13, 11205, 33916, 10826, 12, 10343, 743, 15109, 4731, 315, 18157, 323, 4892, 323, 4987, 5270, 13, 4740, 279, 958, 2796, 11, 814, 15601, 74228, 5694, 439, 15992, 22910, 449, 810, 3293, 62644, 1778, 439, 18587, 328, 83403, 753, 11244, 304, 279, 2493, 43456, 323, 7043, 91493, 753, 5348, 23414, 627, 791, 89280, 921, 10020, 53204, 690, 2804, 520, 800, 13, 72068, 753, 9441, 11, 28263, 94469, 11, 520, 220, 18, 281, 749, 13, 7418, 11, 6841, 220, 23, 13, 1115, 374, 279, 264, 2107, 6985, 1912, 430, 98411, 15347, 13345, 21497, 3427, 388, 449, 1202, 5178, 3116, 1667, 4227, 26, 814, 690, 2804, 449, 279, 1890, 69665, 719, 264, 4459, 502, 2068, 25891, 1054, 32, 921, 10020, 58586, 4720, 11453, 4427, 38499, 690, 387, 24895, 555, 62740, 3842, 7043, 75897, 11, 459, 1628, 5420, 29036, 4731, 24687, 13, 1283, 690, 387, 83860, 304, 872, 11415, 6727, 11, 1054, 32, 8773, 290, 468, 4049, 33916, 4073, 863, 555, 42107, 13000, 13, 7089, 38499, 690, 387, 505, 872, 16781, 77768, 315, 312, 46302, 311, 6617, 11, 13318, 57673, 311, 37019, 11, 29924, 311, 55957, 311, 7091, 13, 578, 220, 717, 3697, 315, 89280, 921, 10020, 53204, 2997, 1690, 4731, 50794, 505, 6957, 279, 40505, 26, 814, 527, 15910, 555, 7639, 46211, 10333, 627, 2654, 2796, 311, 420, 21497, 374, 1555, 1443, 9451, 606, 6406, 12332, 47784, 10229, 16250, 477, 264, 400, 508, 3254, 26360, 520, 279, 6134, 13, 13266, 46227, 311, 7782, 264, 3280, 16250, 11, 902, 20682, 26360, 311, 279, 9861, 80399, 5158, 47679, 420, 12688, 323, 10683, 11, 1253, 656, 779, 369, 400, 966, 824, 1732, 11, 264, 13643, 14278, 13, 1666, 304, 279, 3347, 11, 2911, 527, 16584, 1949, 311, 47679, 994, 24895, 555, 459, 6822, 26, 9191, 4236, 527, 10788, 311, 9604, 7636, 439, 80399, 5158, 753, 15051, 627, 2028, 21497, 374, 26310, 24853, 555, 279, 40687, 9849, 389, 279, 17979, 323, 279, 5165, 4060, 76555, 369, 279, 17979, 627, 1688, 220, 22, 25, 410, 9012, 389, 7950, 11714, 11, 6841, 220, 777, 339, 11, 520, 28263, 94469, 19903, 5234, 6150, 19343, 11, 279, 28263, 94469, 5234, 6150, 36967, 17366, 323, 47784, 17366, 690, 5249, 264, 40343, 48551, 10255, 11, 4997, 6383, 8747, 11, 304, 75326, 82, 1697, 13, 28263, 94469, 6150, 11182, 17366, 10783, 23194, 98337, 323, 279, 4236, 617, 1027, 20646, 2533, 10683, 11, 3318, 449, 12483, 3984, 555, 4491, 13, 6383, 8747, 11, 6832, 1054, 1316, 2683, 863, 369, 220, 1544, 1667, 374, 449, 75174, 34937, 753, 3838, 7200, 13, 2435, 690, 48306, 2648, 304, 264, 11060, 3308, 3645, 304, 279, 13658, 13, 4491, 13, 6383, 8747, 706, 459, 16781, 4526, 315, 64108, 5237, 3233, 13, 2435, 2134, 304, 1404, 505, 264, 13987, 71304, 6713, 3394, 311, 264, 220, 21, 4579, 6155, 370, 395, 64108, 11, 323, 2997, 279, 19018, 323, 9024, 4635, 437, 710, 13, 1283, 690, 3113, 1063, 323, 2804, 389, 264, 2478, 2391, 420, 21497, 627, 11425, 82, 690, 2997, 69530, 63306, 11, 39843, 753, 507, 754, 68, 11, 578, 4968, 531, 1780, 11, 7505, 753, 33425, 11, 6193, 279, 47745, 11, 323, 1023, 4731, 11537, 311, 682, 17051, 627, 1542, 1113, 690, 387, 15871, 304, 279, 12704, 27618, 779, 4546, 701, 68241, 13, 2684, 690, 387, 912, 26360, 6900, 26, 420, 21497, 374, 80399, 5158, 753, 8352, 311, 279, 28263, 94469, 6150, 11182, 4731, 2068, 11, 1202, 22291, 323, 4236, 11, 323, 311, 279, 15347, 13345, 4029, 627, 8140, 220, 679, 20, 12, 845, 3280, 690, 3240, 389, 7418, 13658, 11, 220, 18, 25, 410, 9012, 11, 6664, 220, 972, 11, 220, 679, 20, 520, 39956, 5234, 6150, 449, 15992, 22910, 1389, 1608, 4680, 11, 68232, 11, 74988, 7091, 15144, 950, 42045, 41376, 295, 505, 89280, 11, 5737, 34997, 11, 2477, 11, 22636, 437, 323, 1023, 20023, 4731, 13, 578, 21497, 690, 387, 9107, 555, 872, 1695, 4885, 11, 279, 40505, 59129, 70184, 295, 11, 5737, 8776, 29924, 37138, 38499, 13, 11579, 26360, 690, 387, 400, 508, 45560, 495, 477, 7782, 701, 220, 679, 20, 12, 845, 3280, 43652, 369, 400, 1272, 45560, 495, 627, 644, 279, 6453, 2919, 1603, 220, 679, 19, 11, 15992, 22910, 574, 264, 1376, 1752, 3148, 11, 60206, 311, 387, 7263, 1139, 264, 810, 67749, 14209, 13, 578, 19277, 315, 3116, 7701, 23944, 11, 17235, 77361, 37138, 388, 3952, 279, 6211, 315, 264, 5790, 96337, 7200, 902, 374, 539, 3485, 39098, 505, 3117, 12556, 2234, 36744, 311, 1518, 1268, 3117, 814, 2643, 11722, 872, 42299, 6302, 1139, 279, 18273, 77563, 315, 28578, 814, 10160, 709, 13, 15992, 22910, 69908, 9575, 279, 67473, 292, 2134, 505, 2477, 323, 34997, 311, 259, 5281, 11, 69392, 11, 20023, 11, 323, 7953, 11, 682, 15107, 505, 4113, 62644, 323, 28904, 5016, 311, 279, 15992, 22910, 5548, 13, 2030, 814, 527, 539, 1120, 912, 15144, 17779, 62575, 889, 1514, 1022, 279, 6964, 315, 279, 2472, 4999, 10156, 2610, 872, 4885, 11, 279, 24955, 27877, 40505, 59129, 70184, 295, 13, 2435, 4070, 2751, 65671, 37284, 753, 42258, 11, 323, 814, 617, 264, 2294, 3318, 5133, 1389, 42174, 33, 48, 21300, 311, 1825, 369, 65671, 37284, 0, 578, 40505, 59129, 70184, 295, 27741, 1202, 77768, 14918, 505, 279, 29924, 14135, 11, 2737, 4113, 4731, 369, 37138, 439, 1664, 439, 5016, 28904, 6476, 304, 264, 7878, 323, 13548, 1648, 627, 85463, 3329, 439, 8810, 13820, 449, 279, 9935, 64, 9935, 64, 63306, 389, 6790, 220, 717, 339, 11, 220, 679, 18, 11, 10948, 10783, 40484, 582, 869, 31782, 1543, 16964, 279, 1912, 439, 1054, 38548, 481, 389, 682, 64490, 662, 662, 662, 3167, 2740, 11, 32654, 11, 17235, 27877, 323, 2523, 311, 51696, 449, 49216, 34371, 22910, 32629, 527, 25, 3420, 295, 1389, 12656, 44685, 323, 25871, 1856, 309, 6610, 11, 27206, 1389, 30750, 2522, 14746, 70, 1354, 3320, 372, 4150, 83, 11, 94467, 20337, 1389, 52179, 28263, 94469, 627, 34827, 220, 23, 11, 220, 679, 20, 11, 7418, 25, 89280, 921, 10020, 53204, 220, 18, 25, 410, 9012, 800, 72068, 753, 16879, 9441, 11, 28263, 94469, 13, 578, 10877, 574, 84461, 1534, 389, 6841, 220, 21, 11, 220, 679, 16, 11, 994, 279, 89280, 921, 10020, 53204, 10887, 520, 800, 13, 72068, 753, 13, 2435, 617, 1027, 15109, 389, 21304, 11450, 320, 898, 9063, 8, 323, 617, 264, 3682, 20632, 449, 279, 19326, 11060, 11070, 388, 11, 48551, 1063, 1667, 13, 2435, 527, 1054, 266, 2162, 863, 420, 1060, 323, 690, 4546, 603, 459, 682, 23065, 5178, 555, 459, 40126, 7154, 20086, 311, 430, 315, 220, 679, 16, 13, 1666, 1603, 11, 279, 38499, 690, 2134, 505, 312, 46302, 311, 6617, 11, 13318, 57673, 311, 37019, 11, 29924, 311, 55957, 311, 7091, 13, 21460, 279, 3823, 7899, 304, 16907, 13444, 13, 63446, 555, 80399, 5158, 43652, 477, 3927, 6822, 26360, 315, 400, 508, 520, 279, 6134, 26, 4236, 1949, 627, 34827, 220, 777, 11, 220, 679, 20, 11, 7950, 11, 220, 22, 25, 410, 9012, 11, 75326, 82, 1697, 11, 28263, 94469, 19903, 5234, 6150, 13, 578, 28263, 94469, 5234, 6150, 17366, 11, 1234, 279, 5216, 315, 23194, 98337, 11, 17366, 10783, 369, 279, 28263, 94469, 6150, 11182, 11, 690, 2804, 3235, 449, 4997, 6383, 8747, 11, 264, 40343, 2442, 414, 287, 39844, 11, 304, 75326, 82, 1697, 13, 20783, 6137, 20646, 304, 279, 10683, 369, 420, 11364, 20632, 430, 690, 387, 10666, 520, 220, 22, 25, 410, 9012, 11, 7950, 11714, 11, 6841, 220, 777, 11, 220, 679, 20, 11, 304, 279, 28263, 94469, 19903, 34514, 19343, 627, 12555, 13, 6383, 8747, 374, 264, 4562, 315, 17072, 6825, 4610, 74870, 11, 706, 264, 13839, 2068, 25891, 68027, 55608, 11, 323, 27772, 520, 16795, 11680, 994, 568, 374, 539, 48551, 13, 578, 21497, 690, 2997, 38480, 389, 1063, 315, 279, 28830, 64108, 5237, 3233, 304, 4491, 13, 6383, 8747, 753, 879, 4526, 13, 80399, 5158, 323, 28263, 94469, 5234, 6150, 527, 18949, 311, 3118, 264, 21497, 39039, 7922, 279, 24084, 9327, 315, 35271, 279, 45129, 323, 74013, 315, 459, 10534, 39844, 449, 279, 99316, 315, 3995, 32629, 627, 16366, 7364, 304, 10411, 40687, 690, 3240, 520, 60829, 69, 3394, 5234, 6150, 11, 30638, 555, 279, 12292, 13284, 12332, 47784, 10229, 26, 3351, 311, 800, 2947, 552, 5234, 6150, 11, 39061, 555, 800, 2947, 552, 10948, 34507, 388, 26, 1243, 2586, 311, 28263, 94469, 13, 578, 2768, 11714, 11, 568, 690, 3118, 813, 68027, 55608, 2068, 520, 279, 11233, 4849, 38571, 304, 8847, 2837, 13, 80399, 5158, 6476, 264, 5199, 3560, 304, 66515, 1521, 10708, 627, 2028, 21497, 374, 80399, 5158, 753, 8352, 311, 279, 28263, 94469, 4236, 323, 311, 279, 15347, 13345, 26, 1070, 690, 387, 912, 26360, 6900, 627, 28623, 220, 1032, 11, 220, 679, 21, 11, 7418, 11, 220, 18, 25, 410, 9012, 11, 39956, 5234, 6150, 97957, 74485, 13, 47759, 380, 11517, 54755, 15385, 638, 323, 64682, 82162, 15385, 638, 690, 3118, 459, 13658, 315, 97957, 74485, 10948, 323, 30704, 449, 264, 6617, 69665, 323, 34453, 315, 29829, 31464, 520, 39956, 5234, 6150, 26667, 13, 220, 18, 25, 410, 9012, 389, 7418, 5587, 220, 1032, 11, 220, 679, 21, 13, 63446, 555, 80399, 5158, 43652, 477, 400, 508, 45560, 495, 520, 279, 6134, 627, 1163, 15578, 10948, 4158, 2223, 1389, 5587, 67248, 321, 220, 679, 21, 1389, 2696, 11, 4212, 11, 11004, 3686, 311, 387, 11075, 13, 1226, 1755, 311, 617, 220, 16, 477, 220, 17, 32629, 505, 279, 393, 10574, 343, 1105, 8050, 5114, 3041, 264, 1421, 2223, 30425, 5178, 902, 690, 387, 1825, 311, 279, 4029, 2085, 6900, 13, 1442, 3284, 11, 1070, 690, 1101, 387, 264, 2978, 9994, 23430, 13, 14299, 380, 16431, 269, 393, 10574, 343, 1105, 8050, 320, 29146, 220, 1114, 11, 220, 7028, 18, 1389, 6287, 220, 21, 11, 220, 4468, 21, 8, 17693, 11846, 304, 279, 21730, 323, 57314, 2410, 315, 29924, 4731, 13, 1283, 3131, 1071, 11, 1054, 25099, 3727, 2324, 2731, 13, 10948, 374, 264, 32961, 13, 1102, 374, 9257, 13, 1102, 374, 77361, 13, 1102, 374, 41792, 13, 1628, 433, 374, 369, 5127, 113068, 96601, 2442, 6165, 1389, 3389, 3297, 220, 679, 21, 1389, 2696, 11, 4212, 11, 11004, 3686, 311, 387, 11075, 13, 1226, 1755, 311, 617, 264, 220, 16, 21925, 18273, 27803, 1567, 14791, 369, 279, 4553, 3070, 11, 439, 459, 9070, 315, 39679, 3623, 12844, 294, 529, 2149, 1994, 753, 47210, 1139, 8853, 304, 735, 1944, 268, 2192, 323, 1443, 9451, 606, 93988, 13, 1115, 690, 387, 1825, 311, 279, 4029, 2085, 6900, 627, 13857, 7388, 220, 2366, 17, 2059, 9451, 606, 6406, 47784, 10229, 11, 2052, 10734, 15516, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 40, 6227, 994, 345, 40, 6227, 994, 358, 5675, 856, 4059, 198, 3947, 574, 2555, 779, 24729, 922, 430, 2035, 198, 13461, 701, 21958, 617, 459, 1722, 304, 779, 1790, 3634, 198, 3112, 994, 499, 3207, 704, 1070, 198, 24220, 11, 358, 574, 704, 315, 5916, 198, 4071, 433, 5828, 1431, 1606, 358, 3287, 1431, 1440, 3403, 198, 40, 1120, 7020, 2288, 1790, 198, 22186, 430, 1304, 757, 14599, 5380, 22186, 430, 1304, 757, 14599, 5380, 22186, 430, 1304, 757, 14599, 5380, 2746, 279, 14365, 315, 21063, 527, 35294, 291, 1475, 3245, 1053, 5101, 311, 893, 439, 433, 374, 11, 24746, 13, 1789, 893, 706, 8036, 5678, 709, 11, 12222, 568, 16008, 682, 2574, 60187, 529, 15376, 523, 15872, 315, 813, 76304, 49216, 3947, 1436, 387, 11510, 315, 8125, 832, 1253, 387, 8430, 1022, 1481, 5085, 11, 1524, 14243, 94241, 13, 2435, 1436, 29243, 311, 10173, 11, 19433, 11, 44219, 315, 279, 18340, 72546, 11, 30988, 11, 5623, 1005, 323, 779, 389, 13, 763, 904, 1162, 11, 1524, 304, 1521, 13422, 315, 3769, 5353, 11, 358, 1781, 439, 264, 8396, 584, 527, 31047, 10723, 17563, 75298, 13, 1666, 3117, 439, 3284, 22972, 733, 11, 1070, 527, 779, 1690, 27548, 311, 63747, 2398, 292, 5623, 24999, 11, 323, 358, 2834, 1431, 387, 2133, 1139, 1884, 1618, 13, 2030, 304, 420, 1772, 11, 358, 1120, 1390, 311, 1427, 27851, 520, 264, 8331, 430, 1690, 1648, 24470, 388, 1555, 52819, 13123, 323, 430, 374, 279, 8738, 323, 71867, 3451, 529, 626, 11750, 119747, 315, 10723, 17563, 627, 626, 11750, 13517, 8967, 311, 387, 50440, 389, 279, 6206, 449, 264, 4106, 11245, 11, 311, 387, 13160, 439, 45286, 4535, 477, 39633, 13, 2057, 387, 46935, 13, 1628, 430, 374, 1120, 1148, 584, 656, 994, 584, 8309, 66206, 922, 1884, 3451, 529, 14965, 527, 16066, 505, 872, 50581, 529, 20182, 578, 22256, 46337, 2136, 315, 20581, 315, 259, 1673, 311, 3885, 374, 279, 6996, 315, 1972, 8082, 430, 52819, 374, 439, 3345, 311, 603, 682, 439, 1057, 4851, 9567, 13, 578, 905, 16801, 304, 1558, 2910, 3225, 1389, 420, 41919, 3727, 603, 1529, 83856, 323, 48080, 13, 9393, 315, 279, 60381, 12673, 311, 10723, 17563, 11, 1274, 889, 11993, 505, 433, 1505, 433, 37554, 315, 682, 315, 1884, 889, 617, 3596, 1047, 1317, 9860, 17563, 311, 636, 990, 11, 1505, 264, 23222, 5133, 11, 323, 387, 40418, 5343, 13, 9865, 1109, 264, 8502, 315, 1274, 449, 10723, 653, 9336, 2136, 1505, 430, 814, 527, 33818, 37774, 12020, 13, 1628, 279, 3772, 3629, 374, 1391, 6154, 304, 20958, 264, 60381, 922, 10723, 17563, 1389, 99597, 1884, 889, 7831, 439, 16806, 477, 3987, 16117, 20285, 22361, 477, 17354, 16682, 323, 8552, 627, 3923, 279, 24354, 30, 1148, 279, 8957, 345, 644, 1148, 55564, 574, 26236, 8271, 5380, 3923, 279, 459, 46352, 30, 1148, 36075, 34477, 345, 35, 548, 1202, 25114, 259, 7805, 1206, 13671, 4999, 40, 617, 3970, 1274, 449, 272, 13111, 28004, 27037, 704, 505, 68616, 19672, 11, 39959, 9894, 46135, 11, 20781, 12691, 3403, 311, 11745, 279, 1890, 3805, 439, 872, 779, 19434, 62200, 76707, 323, 3451, 383, 56885, 24535, 358, 617, 3970, 3995, 1274, 304, 8952, 78251, 11, 1167, 263, 48259, 704, 315, 872, 4059, 389, 58076, 315, 26333, 6319, 11, 14132, 11, 311, 3451, 66, 554, 529, 1124, 13, 358, 617, 3970, 1274, 3139, 2362, 4920, 9168, 88, 6548, 11, 8340, 3201, 304, 872, 10977, 11, 28544, 323, 20428, 1142, 11, 8249, 660, 505, 872, 30883, 21063, 315, 264, 8903, 430, 3727, 279, 8857, 29213, 13, 1628, 1521, 527, 279, 14363, 1274, 30, 4314, 527, 279, 6305, 430, 279, 8857, 315, 279, 7187, 5992, 1523, 389, 30, 1628, 814, 527, 7111, 1523, 389, 1981, 576, 374, 47952, 17033, 11, 420, 8850, 315, 10723, 17563, 11, 439, 422, 433, 574, 89534, 11, 439, 422, 433, 574, 539, 832, 11745, 11, 832, 75237, 3201, 505, 779, 19434, 4725, 488, 13, 4314, 1274, 889, 1427, 1523, 389, 1884, 889, 617, 16654, 904, 1376, 315, 10723, 17563, 527, 18507, 1389, 5496, 304, 264, 1917, 1405, 814, 617, 80647, 5694, 430, 814, 527, 539, 439, 47281, 439, 279, 1023, 311, 3451, 529, 18310, 119747, 872, 779, 19434, 3451, 529, 76, 8843, 119747, 627, 13461, 279, 3492, 32359, 14744, 374, 28360, 11, 16898, 1711, 439, 433, 1587, 1063, 4443, 8060, 11, 1063, 3770, 5578, 2237, 315, 11478, 13, 1628, 1389, 4359, 1789, 21301, 0, 1389, 98147, 11, 1524, 11201, 0, 13266, 527, 279, 16806, 6305, 11, 279, 6305, 584, 1541, 1431, 1390, 5496, 304, 1057, 10977, 11, 279, 6305, 584, 1053, 539, 7095, 449, 1057, 2911, 13, 32359, 14744, 11, 264, 32403, 315, 279, 50581, 11, 477, 459, 19661, 418, 24064, 2077, 311, 3451, 529, 265, 2786, 119747, 1389, 264, 3044, 430, 520, 832, 892, 5602, 7118, 2396, 315, 3278, 11, 15871, 11, 1694, 45408, 311, 3451, 529, 16061, 24705, 529, 20182, 61336, 54119, 950, 323, 18247, 29150, 11, 994, 304, 2144, 1148, 574, 1455, 4461, 12765, 574, 264, 65935, 304, 279, 88909, 520, 279, 312, 69563, 6439, 814, 1051, 9770, 311, 3063, 13, 2209, 279, 6617, 11477, 42620, 315, 18710, 323, 18547, 539, 30293, 264, 65935, 315, 279, 13836, 2403, 279, 72498, 315, 7438, 304, 279, 1917, 5380, 22105, 584, 1051, 8967, 311, 387, 13365, 43686, 11, 41480, 3988, 11, 53087, 11, 4376, 13088, 26872, 11, 323, 279, 6305, 889, 527, 19524, 82, 2194, 863, 527, 279, 6305, 889, 23973, 433, 627, 8607, 315, 279, 1888, 20663, 584, 617, 3970, 389, 420, 11841, 617, 28214, 449, 47657, 17563, 13, 50432, 55093, 28254, 98147, 11, 422, 539, 2539, 389, 58533, 35047, 14336, 529, 497, 3556, 358, 574, 7636, 389, 264, 11879, 11, 358, 574, 15187, 31589, 555, 459, 98887, 287, 11376, 551, 358, 5602, 264, 76681, 18197, 18702, 682, 279, 18671, 323, 3428, 12, 6852, 12098, 1990, 279, 4892, 15379, 323, 279, 94000, 13, 3277, 433, 3782, 709, 311, 30221, 358, 5602, 430, 279, 24405, 14264, 5190, 323, 5190, 311, 6144, 1057, 3224, 55080, 5602, 279, 42727, 14071, 17301, 11, 279, 19596, 74535, 315, 36017, 11, 323, 279, 74995, 13162, 315, 653, 1868, 291, 9214, 13, 5112, 279, 4459, 9581, 6656, 311, 6680, 13, 1115, 11376, 36513, 922, 459, 6596, 13, 358, 574, 74252, 291, 323, 49394, 660, 323, 51975, 315, 856, 23948, 14639, 123956, 3513, 93622, 1047, 15748, 22743, 19823, 11, 439, 1550, 42592, 10425, 350, 18314, 942, 11, 328, 25100, 1263, 72634, 11, 35266, 98337, 11, 42608, 1666, 318, 869, 11, 97415, 28298, 11, 17177, 42608, 21324, 11, 323, 53603, 32269, 1900, 13, 45480, 574, 3629, 1370, 278, 1065, 291, 555, 22743, 19823, 11, 12153, 311, 2586, 709, 389, 9722, 1418, 389, 813, 64876, 311, 17210, 311, 279, 10334, 315, 15740, 627, 31224, 64607, 11, 47400, 69, 11, 452, 3251, 52541, 11, 59602, 267, 2303, 11, 6706, 1900, 11, 473, 26768, 3195, 11, 60091, 20661, 82695, 11, 13000, 480, 65036, 11, 1856, 589, 11, 8096, 89010, 11, 93999, 11, 85107, 385, 11, 37512, 9509, 11, 25385, 474, 323, 1690, 11, 1690, 810, 1389, 682, 357, 2661, 839, 449, 52819, 13, 73817, 0, 1102, 5084, 4661, 65868, 430, 304, 2015, 311, 387, 264, 11782, 35201, 499, 617, 311, 14993, 449, 1063, 1376, 315, 10723, 17563, 4999, 3112, 304, 279, 18330, 25946, 11, 52819, 706, 3629, 1027, 264, 71261, 323, 5844, 857, 3904, 311, 50217, 42445, 82, 11, 323, 5419, 453, 25055, 13, 2876, 2744, 11, 315, 3388, 11, 6463, 374, 1475, 52819, 264, 1879, 315, 18330, 42445, 323, 1790, 315, 433, 3966, 810, 69782, 1373, 4345, 479, 315, 279, 19433, 497, 8248, 90578, 791, 559, 13005, 374, 279, 1732, 11, 8762, 477, 8954, 11, 889, 497, 4752, 459, 22798, 24064, 3217, 430, 10800, 1461, 12756, 63018, 13, 1102, 753, 264, 3169, 315, 51281, 292, 17944, 5352, 13, 578, 4459, 40711, 16264, 709, 11, 323, 279, 559, 13005, 17503, 1139, 433, 14639, 123956, 16772, 974, 764, 30524, 1389, 578, 7572, 315, 47595, 340, 38684, 279, 3823, 7102, 83417, 11, 3938, 3026, 690, 11, 358, 15562, 11, 1427, 1203, 389, 1057, 82315, 16746, 439, 264, 2807, 15729, 13381, 315, 54796, 1981, 2435, 690, 1518, 430, 1148, 574, 6646, 3451, 21740, 46412, 292, 529, 574, 832, 315, 279, 7739, 304, 902, 11, 3629, 1555, 5115, 19664, 1274, 11, 279, 3177, 6137, 311, 1464, 1139, 1057, 682, 94679, 1824, 9443, 20663, 49216, 9023, 39092, 5034, 287, 627, 17818, 374, 1120, 23444, 311, 5363, 279, 4751, 3451, 82, 26989, 529, 439, 47031, 539, 311, 279, 30883, 63355, 719, 311, 279, 864, 92109, 14546, 17743, 11, 11509, 439, 433, 1587, 304, 1205, 315, 28254, 312, 24844, 13, 763, 420, 1162, 11, 279, 43901, 1920, 31965, 304, 279, 30883, 94241, 9417, 1253, 387, 6646, 7138, 753, 1648, 315, 6376, 2574, 1314, 49216, 2345, 2999, 13, 3842, 1226, 404, 31421, 198, 2118, 82617, 311, 15508, 1603, 1057, 892, 527, 3629, 41998, 11, 5423, 555, 1884, 889, 3021, 603, 1455, 13, 9393, 814, 11, 16458, 1124, 11, 527, 33173, 13, 2435, 1781, 5606, 889, 62667, 709, 11, 477, 889, 11, 2103, 33173, 11, 52694, 430, 1148, 374, 4529, 311, 387, 1972, 374, 264, 3451, 57291, 529, 374, 2133, 14599, 49216, 3112, 3249, 656, 779, 1690, 449, 20663, 23854, 7069, 555, 779, 19434, 52819, 4510, 814, 527, 279, 81441, 30, 21829, 420, 13336, 497, 1820, 4339, 315, 7043, 68290, 11, 73074, 47841, 11, 889, 1511, 311, 1450, 704, 8260, 7563, 449, 3451, 529, 1820, 81441, 119747, 5439, 389, 1124, 304, 813, 2254, 6424, 90578, 1820, 3245, 374, 311, 1120, 1486, 704, 584, 527, 3786, 1824, 11687, 287, 3697, 315, 279, 24811, 5621, 2786, 1234, 264, 22498, 13141, 323, 961, 315, 75149, 4661, 2744, 18065, 1063, 3460, 315, 37374, 25544, 13, 1102, 753, 5995, 311, 1464, 704, 315, 430, 78552, 13127, 26368, 68290, 340, 2181, 1587, 539, 3152, 499, 19524, 548, 863, 279, 81441, 1389, 1120, 430, 1063, 961, 315, 499, 374, 15061, 279, 35121, 1174, 323, 7344, 3782, 389, 264, 2766, 2288, 3831, 90578, 4071, 1935, 18449, 3001, 1226, 527, 539, 7636, 11, 477, 16682, 11, 477, 3958, 11, 477, 76554, 315, 60381, 1389, 52819, 374, 121367, 4501, 4322, 481, 11, 994, 279, 12786, 2295, 291, 5596, 315, 279, 88909, 527, 76267, 48272, 1139, 264, 421, 17648, 434, 11, 994, 279, 13836, 374, 31503, 627, 863, 40, 5602, 279, 1888, 20663, 315, 856, 9659, 14763, 555, 52819, 11, 78501, 54119, 950, 19557, 345, 35031, 3252, 5694, 1555, 279, 62833, 14708, 520, 39493, 3411, 369, 459, 19021, 5155, 345, 17729, 63600, 18638, 12855, 20252, 369, 279, 14154, 67698, 3717, 311, 279, 6917, 894, 18003, 78, 304, 279, 26953, 315, 3814, 345, 14965, 19542, 323, 259, 10385, 323, 42902, 53613, 323, 1579, 7731, 709, 20149, 304, 279, 50058, 27394, 315, 9439, 55051, 61457, 19596, 4028, 279, 33522, 315, 9919, 79342, 34997, 345, 14965, 293, 1636, 872, 35202, 311, 32450, 1234, 279, 4072, 323, 5602, 46392, 276, 46968, 55944, 389, 5899, 1133, 77395, 75648, 345, 14965, 5946, 1555, 23978, 449, 77443, 7155, 6548, 59123, 16252, 32790, 323, 31994, 18179, 31926, 4315, 279, 31839, 315, 4208, 345, 14965, 1051, 67331, 505, 279, 10623, 11288, 369, 14599, 612, 23763, 84109, 297, 5919, 389, 279, 11276, 315, 279, 35113, 345, 14965, 272, 80313, 304, 653, 939, 5389, 12295, 304, 55244, 11, 20252, 872, 3300, 304, 41421, 3141, 49240, 323, 14624, 311, 279, 38256, 1555, 279, 7147, 345, 44, 337, 5059, 889, 10862, 856, 13836, 4216, 0, 33518, 5059, 304, 8884, 358, 1097, 264, 25917, 2085, 264, 2547, 0, 33518, 5059, 889, 60178, 757, 704, 315, 856, 5933, 93663, 0, 33518, 5059, 8884, 358, 15673, 0, 41674, 709, 304, 33518, 5059, 0, 8828, 4365, 12, 6892, 704, 315, 279, 13180, 4999, 44, 337, 5059, 0, 33518, 5059, 0, 26945, 32729, 0, 30547, 48013, 0, 30535, 4353, 300, 10612, 0, 18507, 94099, 0, 86224, 19647, 0, 57077, 17089, 0, 1558, 77972, 13088, 15316, 38390, 69540, 0, 76681, 33606, 4999, 7009, 14760, 872, 28678, 33510, 33518, 5059, 311, 32450, 0, 43856, 3808, 11, 12690, 11, 71169, 11, 20181, 0, 33510, 279, 3363, 311, 32450, 902, 6866, 323, 374, 17277, 922, 603, 4999, 3198, 919, 0, 8019, 729, 0, 59123, 12922, 0, 71912, 0, 12208, 267, 300, 552, 0, 8208, 1523, 279, 3778, 15140, 4999, 65454, 82, 0, 1008, 269, 811, 0, 44087, 811, 0, 44230, 0, 279, 4459, 15688, 1096, 315, 16614, 52401, 4999, 23340, 20322, 82, 0, 927, 279, 15140, 0, 86286, 323, 15131, 97422, 919, 0, 8208, 1523, 279, 18197, 4999, 12243 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 11180, 20994, 38269, 15883, 11934, 198, 13622, 1274, 1541, 1431, 1390, 311, 8343, 38269, 8314, 11934, 11, 1095, 7636, 31030, 1124, 13, 2030, 422, 499, 4070, 1047, 279, 6776, 311, 8343, 7878, 11, 24392, 2427, 4935, 8314, 11934, 1306, 264, 45834, 11, 499, 4805, 387, 264, 8571, 17223, 19762, 311, 4048, 1268, 311, 31030, 38269, 8314, 11934, 627, 11180, 20994, 38269, 8314, 11934, 7946, 8638, 449, 264, 2162, 62376, 477, 24392, 9408, 2027, 13, 8595, 30, 578, 6367, 311, 11364, 38269, 8314, 11934, 374, 45834, 13, 3277, 45834, 73091, 11012, 11, 814, 5625, 70181, 288, 311, 70913, 11, 902, 10437, 729, 8314, 11934, 13, 578, 1193, 1648, 311, 636, 1521, 8314, 11934, 374, 311, 3139, 701, 1866, 477, 636, 24392, 2427, 4935, 6305, 2345, 10924, 264, 45834, 13, 30260, 49313, 11028, 6118, 82316, 304, 7188, 477, 12550, 323, 9167, 1431, 10534, 279, 10437, 6147, 11204, 315, 45834, 13, 3011, 753, 3249, 38269, 8314, 11934, 3629, 12945, 10284, 26242, 627, 4054, 31123, 315, 38269, 8314, 11934, 36508, 17715, 832, 46746, 20268, 13, 5256, 279, 43318, 1920, 555, 28786, 8314, 11934, 13, 36931, 31300, 8314, 11934, 3629, 617, 28066, 315, 89111, 3447, 477, 1023, 41911, 8340, 24923, 279, 1176, 477, 2132, 16335, 16312, 6324, 13, 45446, 904, 59207, 71, 54213, 311, 4974, 8314, 11934, 555, 78446, 1124, 304, 264, 47205, 477, 12290, 6425, 13, 5560, 220, 16, 311, 220, 18, 56588, 315, 47205, 477, 12290, 824, 50680, 315, 3090, 13, 2100, 587, 8314, 11934, 369, 4376, 459, 6596, 11, 1243, 74341, 27461, 13, 11016, 2362, 477, 14071, 16335, 11141, 323, 11259, 23963, 627, 56753, 6031, 60803, 85620, 9307, 7826, 2509, 7357, 4212, 198, 29923, 311, 4774, 7878, 39151, 10826, 2427, 8506, 79276, 682, 1060, 1317, 30, 1102, 596, 264, 10885, 311, 31030, 420, 24722, 41947, 48438, 22235, 311, 1005, 304, 23935, 53031, 11, 19724, 323, 810, 13, 15281, 279, 1920, 369, 1268, 311, 31030, 79276, 304, 420, 4652, 555, 42287, 362, 13, 8290, 729, 627, 1959, 16005, 2106, 449, 356, 1791, 372, 1941, 5380, 34, 42012, 86529, 649, 387, 63100, 24190, 315, 279, 4353, 40412, 35359, 70841, 48438, 22235, 13, 4418, 956, 1781, 433, 596, 3284, 311, 31030, 75391, 372, 1941, 30, 8489, 11, 279, 6367, 15812, 304, 279, 18459, 13, 15281, 1268, 311, 31030, 75391, 372, 1941, 369, 7474, 2269, 2548, 21057, 304, 904, 3280, 627, 27247, 12522, 25619, 9176, 45805, 8529, 20798, 198, 8142, 20268, 41980, 41613, 527, 912, 5129, 5052, 311, 387, 1511, 304, 51249, 77852, 11, 499, 649, 20955, 1124, 449, 42393, 477, 1005, 304, 5945, 1725, 323, 61443, 13, 763, 420, 4652, 11, 42287, 362, 13, 8290, 729, 6209, 3892, 2294, 5829, 369, 20268, 41980, 41613, 323, 16964, 279, 1888, 1648, 311, 21813, 1124, 627, 11180, 3059, 41785, 613, 369, 9424, 1725, 323, 4497, 198, 8142, 499, 2834, 956, 1390, 311, 8854, 20268, 68798, 304, 7878, 77852, 11, 279, 11141, 690, 990, 29921, 304, 19724, 11, 45324, 2382, 645, 323, 23935, 53031, 13, 1472, 3358, 1120, 1390, 311, 31030, 3995, 11141, 13, 35106, 279, 9191, 477, 14071, 287, 11141, 439, 814, 3358, 8356, 264, 35507, 12945, 323, 23506, 88, 10651, 13, 18374, 6818, 3339, 20268, 68798, 55204, 30, 2175, 810, 10631, 389, 1268, 311, 31030, 68798, 304, 420, 4652, 389, 1268, 311, 31030, 68798, 627, 6854, 1472, 79692, 97842, 5380, 9642, 11, 499, 649, 31030, 63577, 13, 58846, 63577, 4375, 1664, 304, 11113, 552, 323, 58943, 1664, 1139, 934, 718, 288, 11, 14425, 377, 3419, 357, 28844, 323, 5945, 1725, 13, 7531, 810, 5829, 369, 20268, 63577, 323, 1268, 311, 1888, 21813, 420, 50123, 71004, 6307, 627, 19648, 4718, 1952, 919, 304, 279, 18682, 79692, 198, 32346, 1690, 45697, 311, 8343, 1314, 3201, 30, 2876, 264, 3575, 13, 2435, 31030, 6847, 11, 323, 649, 387, 1511, 304, 264, 8205, 315, 5627, 13, 15281, 1268, 311, 22033, 45697, 369, 6220, 5942, 304, 279, 5655, 31030, 11, 1268, 311, 2567, 279, 38427, 54097, 3428, 323, 994, 311, 1005, 20268, 45697, 304, 701, 26863, 627, 11180, 3059, 1666, 94789, 369, 8681, 66099, 198, 8142, 20268, 439, 94789, 2395, 1590, 2834, 956, 387, 439, 42954, 439, 13863, 2269, 2548, 44814, 11, 814, 649, 2103, 387, 1511, 304, 1690, 26863, 13, 5810, 527, 279, 7504, 311, 47995, 420, 50123, 1773, 1137, 36581, 323, 1063, 6848, 389, 1268, 311, 1005, 20268, 439, 94789, 311, 923, 17615, 311, 701, 21644, 627, 6854, 1472, 79692, 95825, 19197, 2396, 5380, 2675, 8659, 649, 31030, 31735, 13, 763, 2144, 11, 499, 649, 31030, 31735, 304, 1690, 5627, 13, 6104, 20268, 31735, 37856, 279, 95333, 10651, 315, 7878, 11, 279, 17615, 8625, 3831, 17223, 8659, 2834, 956, 617, 279, 11742, 12945, 430, 7170, 49156, 30695, 1171, 31735, 13, 15281, 3892, 5627, 311, 31030, 31735, 323, 1268, 311, 1005, 433, 311, 923, 17615, 311, 3691, 627, 4438, 3234, 1472, 79692, 42313, 21494, 5380, 36, 14736, 21494, 3250, 956, 2567, 1633, 1317, 11, 323, 499, 2834, 956, 387, 3025, 311, 649, 433, 2085, 71255, 4954, 433, 7953, 18324, 13, 2100, 11, 1268, 656, 499, 21813, 701, 18406, 19151, 21494, 30, 61328, 701, 649, 1215, 323, 4048, 1268, 311, 31030, 19151, 21494, 13, 5810, 527, 3892, 43318, 5528, 499, 649, 1456, 627, 39804, 264, 8279, 76, 70841, 40822, 2052, 9941, 198, 24762, 1268, 311, 31030, 14095, 323, 499, 3358, 387, 3025, 311, 4774, 420, 35359, 70841, 4322, 682, 1060, 80078, 449, 701, 13560, 45405, 13, 3658, 20994, 14095, 374, 4382, 11, 323, 433, 596, 264, 2294, 1648, 311, 19678, 6980, 311, 3691, 46643, 13, 15281, 279, 7504, 311, 43318, 14095, 304, 420, 4652, 555, 42287, 362, 13, 8290, 729, 627, 4438, 311, 79692, 38269, 15883, 11934, 198, 6971, 32964, 8314, 11934, 4546, 810, 1109, 12945, 311, 279, 2007, 13, 1115, 74873, 36271, 38119, 46192, 323, 374, 1579, 304, 13128, 11, 779, 499, 3358, 1390, 311, 1304, 701, 24392, 2427, 4935, 38269, 8314, 11934, 1566, 13, 15281, 279, 1403, 5627, 311, 31030, 38269, 8314, 11934, 323, 5627, 311, 2997, 420, 20268, 2307, 48438, 22235, 389, 701, 2007, 627, 35051, 311, 3658, 20994, 356, 57589, 198, 29923, 311, 4774, 279, 26677, 9076, 555, 74873, 682, 1060, 30, 1115, 7120, 2234, 12084, 315, 279, 48438, 15436, 13863, 39732, 2641, 1664, 311, 279, 43318, 1920, 13, 5256, 449, 29050, 11, 6573, 14971, 430, 2733, 4785, 88, 369, 872, 1404, 13, 15281, 810, 922, 279, 7504, 311, 43318, 74873, 304, 420, 4652, 505, 42287, 362, 13, 8290, 729, 627, 11180, 3059, 47643, 727, 369, 9424, 1725, 198, 88716, 727, 374, 10213, 3090, 11, 323, 279, 43318, 1920, 61053, 1439, 2849, 14620, 11, 13239, 304, 264, 83378, 11, 30823, 88, 2027, 13, 2030, 20268, 70121, 4375, 9765, 38662, 304, 45324, 2382, 645, 11, 91070, 11, 5708, 11, 323, 1023, 4106, 76639, 5247, 13, 1472, 649, 1101, 1005, 433, 439, 459, 82688, 449, 5945, 1725, 11, 2967, 17323, 369, 17677, 20228, 11, 477, 938, 12019, 11, 85151, 1306, 17677, 13, 15281, 279, 7504, 311, 43318, 70121, 304, 420, 4652, 627, 1959, 13787, 291, 389, 59205, 9949, 5380, 44, 1136, 9949, 2643, 1566, 922, 264, 2046, 304, 279, 46044, 11, 902, 2643, 539, 387, 3403, 892, 311, 4774, 279, 53523, 499, 1253, 617, 15042, 477, 369, 3359, 13, 21829, 43318, 48251, 13, 15281, 902, 1749, 315, 43318, 48251, 4375, 1888, 11, 323, 636, 1063, 6848, 369, 1268, 311, 1005, 1124, 304, 19141, 627, 10442, 8314, 11934, 555, 1404, 11, 50284, 1124, 439, 2678, 11, 11298, 11, 323, 3544, 13, 8595, 30, 9393, 1529, 3581, 287, 3115, 527, 3196, 389, 41963, 1404, 13, 92529, 2678, 8314, 11934, 220, 18, 4520, 11, 11298, 6305, 220, 19, 4520, 11, 323, 3544, 6305, 220, 20, 4520, 13, 5560, 264, 4179, 15589, 14351, 311, 6541, 8314, 11934, 6847, 1990, 50937, 323, 10054, 3090, 13, 35106, 72389, 1113, 279, 8314, 11934, 11, 902, 649, 17210, 311, 1772, 12862, 3059, 30823, 1918, 627, 6153, 1529, 3581, 287, 11, 3351, 38269, 8314, 11934, 1139, 279, 50685, 439, 19019, 439, 3284, 13, 17737, 43318, 36508, 264, 49973, 1964, 11, 2753, 30823, 88, 2027, 13, 1472, 617, 1403, 2671, 369, 43318, 25, 3927, 4062, 31030, 477, 6462, 43318, 627, 25310, 12862, 3059, 38269, 8314, 11934, 32399, 389, 264, 12829, 11071, 13, 1789, 26731, 43318, 11, 2035, 279, 11071, 3345, 311, 1405, 9439, 3805, 29933, 701, 50685, 13, 4740, 8314, 11934, 527, 20268, 11, 259, 1983, 1124, 1139, 50685, 18381, 304, 20155, 13, 11016, 439, 1790, 3805, 439, 3284, 505, 18381, 1603, 66934, 13, 37294, 8314, 11934, 555, 279, 23810, 439, 4460, 369, 17677, 627, 32, 2132, 3072, 374, 47237, 43318, 13, 763, 420, 1749, 11, 6462, 13788, 7321, 19885, 315, 38269, 8314, 11934, 304, 50685, 18381, 13, 24119, 4148, 439, 1790, 3805, 439, 3284, 369, 279, 49973, 6536, 2027, 13, 362, 29302, 513, 13412, 1887, 4375, 1664, 449, 38269, 8314, 11934, 13, 35106, 927, 96224, 18381, 13, 12361, 11, 2567, 8314, 11934, 304, 264, 3254, 6324, 369, 81610, 43318, 13, 11004, 18381, 1139, 279, 50685, 439, 10269, 398, 439, 3284, 3156, 8314, 11934, 527, 20268, 13, 87640, 11, 3854, 279, 18381, 1139, 701, 50685, 311, 35608, 3634, 1005, 627, 6971, 32964, 8314, 11934, 4546, 810, 1109, 17615, 311, 279, 2007, 13, 4314, 57863, 74873, 14971, 59227, 9572, 2269, 45850, 29600, 11, 3235, 449, 282, 7918, 13935, 323, 45774, 362, 13, 2435, 3207, 1101, 1579, 304, 13128, 11, 719, 1288, 387, 35526, 449, 4459, 41936, 311, 8854, 264, 4686, 13128, 430, 5727, 279, 4553, 20326, 315, 42500, 33969, 627, 2520, 1888, 4367, 11, 1005, 20268, 38269, 8314, 11934, 2949, 220, 717, 311, 220, 975, 4038, 13, 58846, 8314, 11934, 1304, 264, 2294, 5369, 311, 14425, 377, 3419, 357, 28844, 323, 36433, 5945, 1725, 13, 350, 3746, 1124, 1139, 264, 79085, 449, 264, 2697, 33213, 5707, 11, 477, 923, 1124, 311, 23935, 53031, 13, 58846, 38269, 8314, 11934, 1101, 12945, 2294, 994, 24276, 54662, 449, 33213, 5707, 323, 12290, 627, 12, 2650, 311, 79692, 7997, 81836, 198, 12, 2650, 311, 79692, 22036, 198, 12, 3658, 20994, 1901, 86670, 25, 362, 8681, 12424, 311, 87589, 4470, 198, 12, 2650, 311, 79692, 6031, 60803, 198, 12, 2650, 311, 79692, 7777, 969, 198, 12, 3053, 1472, 79692, 59205, 9949, 5380, 12, 3658, 20994, 42313, 21494, 198, 12, 3053, 1472, 79692, 47643, 727, 5380, 12, 3658, 20994, 1952, 919, 198, 12, 3658, 20994, 356, 57589 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 8142, 42902, 11, 10269, 54888, 1253, 617, 1027, 220, 1954, 82, 47994, 11, 6617, 13444, 6880, 369, 63920, 61798, 54888, 430, 1304, 499, 1427, 9498, 323, 65655, 13, 3744, 315, 279, 1948, 48724, 622, 12328, 978, 1126, 76, 3070, 315, 15921, 481, 3189, 36244, 5266, 388, 11, 650, 1152, 64, 374, 35426, 1903, 311, 923, 42533, 323, 12157, 311, 279, 54888, 369, 264, 5933, 323, 810, 65655, 11341, 13, 2468, 1077, 5274, 304, 6344, 75690, 11, 13256, 11, 12466, 46098, 2999, 13, 75671, 72695, 70, 6181, 27772, 65246, 315, 650, 1152, 64, 311, 2686, 7160, 2779, 54888, 430, 527, 10269, 323, 42902, 4245, 311, 56104, 11, 4785, 4814, 11, 477, 4325, 13, 3161, 3135, 430, 1566, 709, 311, 1403, 1667, 11, 650, 1152, 64, 555, 622, 12328, 978, 1126, 76, 374, 459, 15921, 481, 3189, 36244, 55810, 11, 902, 5829, 6409, 278, 324, 14338, 13935, 311, 1520, 701, 6930, 1427, 61405, 323, 2733, 64230, 13, 24416, 264, 29173, 311, 4048, 922, 1268, 650, 1152, 64, 15921, 481, 22972, 520, 362, 25525, 37108, 57257, 263, 649, 7916, 701, 11341, 555, 8405, 2539, 2136, 323, 12157, 627, 53, 1152, 64, 374, 264, 6409, 278, 324, 14338, 13935, 320, 17455, 8, 15921, 481, 55810, 430, 374, 1888, 369, 7999, 42533, 323, 12157, 311, 701, 54888, 13, 9176, 6978, 5406, 25983, 8286, 315, 872, 54888, 439, 814, 636, 9191, 477, 422, 814, 617, 5675, 264, 22520, 3392, 315, 4785, 13, 4427, 6978, 1253, 617, 18182, 42902, 54888, 323, 527, 11125, 6514, 311, 628, 1538, 872, 5209, 30188, 13, 11215, 889, 527, 20895, 477, 28456, 527, 539, 17446, 369, 650, 1152, 64, 65246, 13, 650, 1152, 64, 374, 12054, 555, 279, 12369, 323, 26166, 17128, 320, 82169, 8, 369, 6978, 927, 279, 4325, 315, 220, 1691, 13, 1472, 690, 617, 264, 29173, 311, 8417, 422, 650, 1152, 64, 374, 279, 1888, 5873, 369, 499, 13, 20817, 389, 701, 3966, 323, 46552, 9021, 11, 439, 1664, 439, 6593, 3925, 11, 264, 35649, 6514, 3197, 690, 387, 8040, 627, 7189, 309, 304, 856, 5209, 220, 1272, 596, 323, 264, 6691, 315, 832, 1716, 13, 358, 617, 264, 1633, 26192, 323, 4642, 2683, 304, 279, 6593, 2115, 13, 358, 1518, 5333, 315, 682, 17051, 29011, 315, 279, 1648, 814, 1427, 323, 1268, 872, 13162, 617, 5614, 449, 4325, 11, 82308, 323, 30596, 12, 30596, 10173, 287, 13, 8489, 358, 2846, 832, 315, 1884, 3278, 3001, 10541, 3515, 832, 20209, 433, 8659, 574, 3403, 311, 2349, 856, 2547, 13, 358, 574, 2163, 449, 27639, 20784, 6930, 13, 25929, 7999, 2380, 24301, 277, 84667, 68823, 11, 323, 1667, 315, 4785, 4814, 323, 4785, 8895, 13, 3092, 259, 8742, 6244, 264, 5542, 36850, 3001, 4740, 1667, 315, 79342, 15173, 358, 6773, 433, 574, 1457, 892, 311, 636, 856, 2547, 1203, 13, 358, 5268, 2999, 13, 72695, 70, 6181, 1606, 315, 1077, 19310, 17444, 439, 264, 46098, 13, 358, 617, 3970, 1063, 315, 1077, 990, 323, 15243, 449, 6978, 922, 872, 3217, 323, 7020, 1364, 574, 279, 2999, 13, 315, 5873, 369, 757, 13, 358, 309, 1457, 2380, 4038, 1772, 15173, 323, 8430, 11364, 3001, 358, 3021, 856, 502, 259, 8742, 323, 36517, 3215, 13, 358, 2231, 389, 264, 55305, 369, 279, 1176, 892, 304, 927, 17510, 1667, 13, 3092, 12410, 2237, 374, 5190, 1109, 433, 706, 1027, 304, 1667, 13, 1789, 5606, 79342, 15173, 15890, 2231, 433, 1022, 13, 1789, 757, 433, 574, 264, 2324, 10223, 3217, 1210, 12, 328, 13, 611, 5195, 611, 5033, 220, 2589, 11, 220, 679, 24, 198, 1, 9023, 13, 72695, 70, 6181, 374, 69883, 6431, 278, 0, 482, 358, 6051, 1047, 264, 350, 8742, 350, 1983, 611, 42239, 437, 2720, 10537, 2884, 555, 2999, 13, 72695, 70, 6181, 323, 358, 7846, 956, 387, 810, 6380, 449, 279, 3135, 13, 2999, 13, 72695, 70, 6181, 323, 1077, 5687, 264, 2294, 13, 2435, 1903, 757, 2733, 10882, 323, 19089, 682, 315, 856, 4860, 912, 5030, 1268, 1690, 358, 4691, 323, 4510, 757, 358, 4691, 264, 2763, 315, 1124, 13, 358, 617, 2646, 10534, 264, 16410, 4034, 439, 24729, 323, 6721, 439, 279, 6305, 358, 1047, 449, 1077, 13, 3005, 690, 617, 856, 21908, 12, 445, 13, 611, 8976, 12363, 611, 4723, 220, 2589, 11, 220, 679, 23, 198, 1, 1225, 42066, 323, 11919, 13, 3005, 2216, 34672, 922, 1077, 8893, 1210, 12, 445, 1087, 13, 611, 5195, 611, 12044, 220, 1691, 11, 220, 679, 24, 198, 1, 9023, 13, 72695, 70, 6181, 323, 6385, 17381, 8886, 279, 7252, 304, 279, 8184, 0, 2999, 13, 72695, 70, 6181, 374, 279, 1888, 0, 358, 1047, 856, 2926, 29173, 304, 6287, 220, 679, 23, 11, 311, 4358, 13937, 6930, 17065, 389, 856, 23152, 11, 1203, 323, 11977, 1306, 13490, 2212, 220, 6860, 16701, 13, 358, 1047, 18908, 279, 4785, 4814, 369, 2212, 220, 868, 1667, 11, 323, 856, 990, 323, 6020, 6671, 5616, 1903, 6930, 17065, 15173, 3284, 13, 358, 7020, 358, 574, 3411, 520, 3682, 15173, 14, 68823, 11, 323, 358, 4460, 311, 2733, 16913, 323, 69344, 315, 279, 1732, 358, 14896, 311, 2804, 1778, 16781, 990, 389, 757, 13, 358, 617, 864, 50457, 1579, 6680, 7410, 11, 21420, 6930, 30020, 323, 264, 3925, 315, 15748, 61880, 323, 63571, 449, 91906, 13, 358, 4460, 264, 46098, 889, 26893, 279, 23965, 6532, 449, 279, 3392, 315, 6930, 358, 4460, 7108, 11, 323, 889, 1053, 387, 3025, 311, 21676, 636, 279, 3135, 358, 4934, 13, 358, 61302, 449, 1403, 1023, 74272, 11, 323, 2225, 315, 1884, 37256, 1051, 33341, 323, 5115, 653, 41540, 1413, 13, 12361, 315, 36864, 856, 4860, 11, 358, 574, 14183, 311, 264, 75931, 1169, 477, 279, 7757, 439, 358, 574, 1694, 6982, 279, 6134, 13, 3092, 29173, 449, 2999, 13, 72695, 70, 6181, 574, 279, 4839, 14329, 13, 358, 574, 21190, 323, 10882, 1603, 358, 4024, 311, 279, 5274, 13, 89345, 11, 279, 5274, 6783, 11, 574, 779, 10437, 323, 11190, 994, 358, 12570, 311, 1077, 311, 1304, 856, 18101, 13, 2468, 279, 29173, 11, 2999, 13, 72695, 70, 6181, 323, 358, 14407, 3892, 16346, 311, 636, 279, 1888, 3135, 369, 856, 2547, 955, 13, 3005, 3952, 279, 892, 311, 7373, 10552, 279, 8882, 323, 1615, 315, 1855, 10537, 11, 279, 75954, 323, 13654, 6532, 11, 323, 279, 3135, 358, 1436, 89716, 1755, 13, 3005, 19089, 856, 4860, 323, 20669, 856, 10742, 449, 5201, 323, 38929, 13, 32255, 2999, 13, 72695, 70, 6181, 323, 358, 3782, 709, 449, 264, 3197, 315, 1957, 430, 1053, 3493, 279, 1888, 15632, 369, 757, 13, 358, 2646, 6612, 33341, 477, 1093, 358, 574, 304, 264, 6763, 9846, 26, 358, 574, 520, 14553, 323, 358, 1120, 7020, 358, 574, 304, 1695, 6206, 13, 5659, 430, 1633, 1176, 1938, 11, 358, 617, 6612, 6220, 11, 10882, 323, 7396, 555, 279, 4553, 5687, 13, 7357, 4034, 2533, 1243, 706, 1120, 49680, 856, 8430, 315, 46135, 369, 3515, 1766, 1778, 264, 11364, 11, 30598, 46098, 323, 1077, 12738, 2128, 13, 2999, 13, 72695, 70, 6181, 323, 1077, 5687, 9615, 2512, 922, 872, 6978, 529, 4686, 13654, 13, 358, 1047, 264, 13259, 324, 409, 41380, 259, 8742, 259, 1983, 323, 9063, 47621, 39061, 19588, 437, 2720, 389, 856, 13272, 304, 6841, 11, 264, 20716, 1584, 1203, 12157, 304, 5587, 11, 323, 459, 6916, 12157, 304, 5936, 13, 358, 1193, 1047, 832, 9099, 12330, 315, 61880, 1990, 682, 220, 18, 68823, 26, 358, 4070, 10534, 11201, 449, 264, 220, 868, 9568, 28817, 4269, 13, 358, 1047, 3892, 7693, 315, 3709, 1854, 389, 856, 64300, 323, 11977, 449, 279, 220, 18, 68823, 13, 16644, 856, 1317, 3925, 315, 6930, 30020, 11, 433, 574, 539, 15206, 430, 358, 10534, 23540, 21730, 304, 1063, 5789, 13, 2999, 13, 72695, 70, 6181, 5602, 757, 1475, 3254, 1938, 11, 2737, 38102, 11, 323, 1364, 3782, 311, 856, 44200, 311, 1817, 389, 757, 13, 3005, 574, 1101, 264, 3831, 29115, 304, 10695, 757, 636, 279, 2512, 358, 4460, 311, 27661, 449, 279, 1888, 3135, 13, 358, 6612, 1077, 4747, 323, 358, 7020, 1364, 59383, 42777, 922, 856, 13654, 13, 358, 1097, 11112, 38564, 449, 856, 3135, 13, 2999, 13, 72695, 70, 6181, 323, 1077, 2128, 617, 12020, 757, 1093, 3070, 6957, 420, 4553, 1920, 13, 358, 2646, 3685, 420, 311, 387, 1778, 264, 2324, 49961, 3217, 11, 4871, 323, 704, 13, 2999, 13, 72695, 70, 6181, 323, 1077, 5687, 753, 51475, 9087, 757, 311, 1505, 659, 91980, 358, 3287, 1431, 1524, 13383, 358, 574, 7554, 0, 2435, 682, 9615, 2512, 922, 872, 6978, 529, 61876, 13654, 1475, 3094, 315, 279, 1648, 13, 3277, 856, 2324, 13463, 5535, 757, 279, 6776, 311, 617, 856, 13937, 6930, 7108, 11, 420, 574, 10213, 922, 279, 15325, 488, 315, 3794, 9463, 315, 279, 7106, 36505, 9057, 555, 279, 6930, 1418, 358, 574, 2103, 12309, 3995, 13, 358, 4934, 311, 387, 3025, 311, 10368, 2085, 3515, 30020, 323, 32317, 505, 279, 5066, 6930, 11, 323, 358, 4934, 311, 636, 279, 5066, 4785, 1022, 856, 1203, 311, 1520, 856, 39074, 54397, 323, 18638, 6784, 13, 358, 2751, 279, 15325, 3135, 358, 574, 3411, 369, 11, 719, 279, 2512, 11, 1862, 323, 51475, 315, 2999, 13, 72695, 70, 6181, 323, 1077, 5687, 617, 2728, 757, 779, 1790, 810, 13, 358, 3463, 420, 574, 2133, 311, 387, 279, 1566, 3094, 304, 856, 4785, 4814, 11879, 11, 719, 433, 706, 6656, 704, 311, 387, 279, 1212, 315, 856, 502, 2324, 13, 358, 4344, 539, 16984, 311, 2559, 709, 369, 7182, 11, 902, 374, 459, 15400, 323, 92044, 13051, 13, 3092, 4885, 323, 3070, 1518, 264, 6908, 6811, 304, 279, 1648, 358, 1427, 323, 6920, 7182, 11, 22655, 323, 34325, 13, 358, 6051, 6656, 220, 1774, 1667, 2362, 11, 323, 358, 2663, 433, 856, 1050, 7826, 4914, 6187, 13, 358, 7020, 358, 1053, 617, 264, 5199, 2349, 304, 856, 2547, 11, 719, 358, 2646, 57636, 358, 1053, 617, 1778, 459, 15400, 10723, 323, 14604, 18475, 779, 6288, 13, 358, 617, 1027, 12646, 1540, 439, 264, 16913, 11, 659, 35915, 3149, 5333, 11, 323, 358, 1097, 12304, 311, 1781, 922, 1148, 753, 311, 2586, 304, 856, 502, 2324, 1210, 12, 445, 13, 611, 8976, 12363, 611, 3297, 220, 2545, 11, 220, 679, 24, 198, 1, 50755, 3217, 482, 1102, 706, 1027, 264, 2478, 1667, 719, 1364, 574, 1633, 8893, 323, 3169, 323, 2216, 42777, 922, 757, 13, 6385, 5687, 574, 1101, 2294, 13, 358, 2103, 7079, 1274, 311, 1077, 1524, 3582, 433, 753, 1027, 17918, 220, 20, 1667, 13, 11186, 28192, 1322, 5009, 35394, 31537, 611, 650, 16664, 611, 5186, 220, 1627, 11, 220, 679, 24, 198, 12805, 499, 3077, 1047, 264, 29173, 449, 2999, 13, 72695, 70, 6181, 11, 701, 26127, 1253, 387, 13847, 369, 2500, 1938, 477, 10887, 279, 1890, 1938, 11, 11911, 389, 18539, 13, 763, 1057, 389, 29654, 3344, 6540, 64, 11, 499, 690, 2503, 323, 12234, 1418, 701, 41803, 374, 35294, 291, 1603, 279, 65246, 13, 578, 63743, 649, 1101, 3881, 264, 1661, 7278, 12932, 311, 1304, 279, 10537, 2753, 26175, 422, 11472, 13, 1789, 16437, 11, 701, 63743, 690, 1906, 701, 3663, 1603, 86661, 279, 65246, 449, 264, 7060, 31409, 13, 3277, 279, 650, 1152, 64, 706, 1027, 41772, 11, 499, 1253, 5406, 1063, 55307, 323, 2579, 2136, 11, 719, 420, 6118, 5258, 3422, 389, 1202, 1866, 627, 3923, 311, 33185, 198, 2520, 1455, 6978, 11, 279, 7720, 315, 650, 1152, 64, 22972, 527, 9621, 7214, 323, 1253, 1566, 922, 1403, 1667, 13, 1102, 374, 9024, 311, 2274, 15748, 477, 29869, 3185, 6372, 505, 650, 1152, 64, 65246, 11, 8051, 422, 499, 656, 617, 4860, 11, 10742, 11, 477, 264, 13010, 11, 4587, 1650, 362, 25525, 37108, 57257, 263, 369, 13291, 13, 578, 1455, 4279, 3185, 6372, 527, 8275, 2579, 2136, 11, 66510, 11, 477, 55307, 315, 279, 26127, 2816, 13, 4314, 13803, 527, 8965, 1633, 9099, 13, 12220, 701, 29173, 11, 2610, 701, 63743, 922, 994, 311, 3197, 701, 1828, 18101, 311, 3060, 1977, 709, 477, 13334, 279, 3135, 315, 650, 1152, 64, 627, 37, 70941, 53763, 24271, 198, 4438, 1790, 1587, 650, 1152, 64, 2853, 5380, 7927, 2853, 369, 264, 650, 1152, 64, 6514, 649, 13592, 11, 11911, 389, 1268, 1790, 2027, 374, 2631, 311, 3449, 701, 9021, 13, 8876, 650, 1152, 64, 40758, 709, 311, 1403, 1667, 11, 499, 1288, 5357, 389, 9455, 459, 10534, 63743, 323, 5766, 12660, 10209, 9193, 12136, 477, 14459, 12744, 65246, 13, 32499, 311, 701, 1176, 26127 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 644, 3293, 1667, 584, 617, 1027, 9298, 264, 3544, 4585, 505, 3318, 15144, 9053, 311, 5376, 279, 8187, 19602, 13, 578, 4689, 12876, 505, 279, 2326, 32027, 374, 311, 4933, 279, 6918, 8187, 19602, 311, 400, 868, 13, 410, 459, 6596, 13, 4452, 11, 1070, 527, 37635, 9002, 279, 11572, 315, 420, 5376, 304, 23998, 11, 439, 1063, 18046, 279, 16296, 315, 420, 2349, 1436, 63074, 279, 7720, 13, 1115, 8712, 315, 10430, 374, 7701, 21190, 2949, 279, 47609, 5064, 11, 439, 1690, 315, 279, 32027, 753, 3697, 5371, 8187, 477, 1207, 39088, 23998, 627, 8142, 7487, 527, 8965, 33445, 315, 1521, 4442, 11, 1063, 9053, 4510, 430, 264, 8187, 19602, 5376, 1436, 387, 65069, 311, 279, 8752, 13, 71190, 1053, 4461, 1205, 311, 4933, 10565, 7194, 323, 1253, 617, 17250, 4560, 311, 2343, 1521, 5190, 23998, 311, 872, 8420, 627, 32, 5526, 5811, 82033, 430, 19054, 9511, 7194, 1053, 5353, 9873, 311, 387, 12153, 311, 18467, 810, 1520, 11, 323, 9093, 2678, 9873, 1053, 7831, 11, 323, 26690, 7969, 1053, 10205, 627, 11458, 11, 9002, 279, 1510, 65151, 39259, 11, 9873, 7859, 872, 8187, 19602, 1053, 4461, 1520, 1124, 4822, 15022, 4315, 33547, 8420, 13, 3277, 433, 4131, 311, 279, 47609, 5064, 11, 1070, 527, 1690, 4754, 6928, 323, 8389, 6372, 430, 1436, 12446, 439, 264, 1121, 315, 7859, 279, 6918, 8187, 19602, 627, 32, 37618, 9372, 520, 279, 11346, 315, 12411, 32025, 95537, 42089, 198, 1271, 7373, 3619, 279, 2204, 90909, 9002, 279, 8187, 19602, 11249, 11, 832, 2011, 1176, 3719, 11537, 449, 279, 3925, 315, 12411, 32025, 95537, 4442, 13, 8876, 279, 12579, 315, 279, 14930, 15277, 35653, 3298, 315, 220, 7285, 23, 11, 279, 6918, 8187, 19602, 304, 5270, 706, 1027, 7319, 220, 24, 3115, 627, 791, 1566, 8187, 19602, 5376, 574, 304, 220, 1049, 22, 11, 1405, 433, 574, 9408, 311, 400, 22, 13, 914, 13, 23548, 264, 220, 679, 17, 8835, 369, 5190, 23998, 304, 1561, 4356, 4409, 11, 5370, 11351, 2737, 279, 5475, 17275, 7327, 9323, 320, 937, 81100, 8, 617, 10968, 872, 9045, 389, 55927, 369, 279, 6918, 8187, 19602, 5376, 311, 400, 868, 13, 410, 459, 6596, 13, 1115, 7351, 374, 3967, 439, 279, 1054, 66754, 369, 400, 868, 863, 323, 279, 12974, 2349, 706, 14958, 264, 8712, 315, 19428, 11249, 2533, 1202, 14050, 627, 791, 43646, 279, 95537, 3298, 315, 220, 2366, 16, 55725, 19054, 279, 6918, 8187, 19602, 311, 400, 868, 13, 410, 555, 220, 2366, 20, 13, 1102, 1053, 7214, 12157, 279, 6918, 8187, 19602, 311, 400, 24, 13, 1135, 459, 6596, 11, 16650, 750, 7859, 433, 311, 400, 868, 927, 220, 20, 1667, 11, 1306, 902, 433, 1053, 617, 9974, 53080, 311, 23369, 19602, 6650, 13, 6104, 15879, 315, 279, 4121, 18046, 430, 279, 1510, 8187, 19602, 374, 2288, 3428, 311, 1862, 279, 16448, 2853, 315, 5496, 11, 3885, 4510, 430, 19054, 279, 8187, 19602, 420, 1790, 1436, 387, 264, 23104, 311, 2626, 7980, 323, 5353, 459, 5376, 304, 26690, 7969, 627, 8142, 279, 1180, 55725, 264, 2349, 304, 279, 6918, 8187, 19602, 11, 433, 1101, 5764, 810, 3230, 41693, 311, 1268, 3738, 63334, 304, 279, 32027, 527, 7318, 13, 36798, 304, 279, 47609, 5064, 1053, 8935, 5423, 505, 420, 2349, 2533, 1690, 315, 279, 7931, 2949, 279, 5064, 527, 66472, 7487, 13, 1115, 1207, 39088, 19602, 5131, 17208, 311, 66472, 7487, 11, 520, 1193, 400, 17, 13, 1032, 824, 6596, 13, 578, 12579, 315, 420, 4121, 1053, 5376, 279, 1510, 23998, 315, 66472, 7487, 311, 400, 19, 13, 3264, 459, 6596, 7214, 323, 3493, 53399, 12992, 779, 430, 872, 23998, 1053, 9778, 3719, 6273, 311, 279, 5410, 8187, 19602, 627, 97296, 1711, 430, 66472, 7487, 527, 7318, 520, 3325, 279, 6918, 8187, 19602, 1053, 3152, 279, 45980, 4090, 315, 279, 1207, 39088, 19602, 369, 1521, 7487, 323, 1053, 2187, 1124, 311, 2103, 4287, 10631, 304, 5369, 311, 872, 5912, 23998, 13, 91363, 315, 279, 1180, 4510, 430, 420, 1053, 1520, 311, 18979, 279, 3392, 315, 47609, 5064, 7487, 430, 527, 5496, 304, 19542, 627, 3923, 374, 279, 14930, 15277, 35653, 3298, 320, 6254, 7934, 87527, 791, 14930, 15277, 35653, 3298, 320, 6254, 7934, 705, 11798, 304, 220, 7285, 23, 11, 374, 38350, 13543, 20950, 7922, 12128, 37424, 304, 5270, 13, 1102, 574, 9749, 311, 1893, 264, 6918, 8187, 19602, 430, 374, 19883, 369, 682, 13918, 2949, 5270, 13, 763, 5369, 311, 420, 11, 814, 743, 3738, 43773, 7607, 369, 279, 14740, 315, 7487, 11, 1778, 439, 39599, 2343, 11, 279, 51114, 990, 1316, 11, 323, 12822, 14740, 10886, 627, 791, 435, 7416, 32, 1101, 3549, 17959, 369, 279, 8323, 315, 3738, 12128, 5315, 520, 264, 4478, 2753, 1109, 279, 45530, 8187, 19602, 13, 4314, 5315, 2997, 4236, 11, 7487, 449, 36801, 11, 323, 66472, 7487, 13, 10771, 311, 279, 435, 7416, 32, 23234, 649, 2343, 66472, 7487, 264, 1207, 39088, 19602, 3392, 430, 374, 3770, 279, 6918, 8187, 19602, 627, 85423, 315, 432, 51226, 279, 32025, 95537, 369, 279, 88705, 24780, 198, 8075, 388, 315, 279, 1180, 311, 5376, 279, 6918, 8187, 19602, 311, 400, 868, 459, 6596, 617, 14407, 1690, 4754, 7720, 315, 279, 2349, 11, 5423, 18815, 7931, 304, 279, 47609, 5064, 13, 432, 51226, 279, 8187, 19602, 1436, 617, 1690, 6928, 6372, 2949, 279, 32027, 369, 2225, 279, 23234, 439, 1664, 439, 279, 7487, 627, 32, 1925, 12899, 2944, 369, 12579, 279, 4121, 374, 430, 19054, 279, 8187, 19602, 1053, 7417, 5496, 10886, 369, 8187, 19602, 7487, 13, 1102, 706, 1027, 18784, 430, 279, 1510, 6918, 8187, 19602, 4250, 1862, 264, 2539, 7394, 9548, 304, 1690, 5789, 315, 279, 3224, 449, 5190, 7194, 315, 5496, 11, 323, 264, 5190, 8187, 19602, 1436, 1520, 311, 30569, 420, 4360, 13, 91363, 3802, 430, 420, 5376, 304, 23998, 323, 13241, 5496, 10886, 369, 7487, 1053, 7417, 8244, 63683, 304, 279, 27465, 627, 2028, 7319, 63683, 1253, 3063, 311, 7319, 26206, 323, 5990, 315, 24617, 2949, 32027, 10093, 11, 323, 9093, 264, 14278, 304, 9548, 48639, 13, 3161, 8420, 810, 2262, 449, 872, 7032, 323, 2753, 4461, 311, 5387, 872, 10093, 11, 5220, 1053, 387, 3025, 311, 3665, 389, 279, 7194, 430, 2586, 449, 24009, 323, 4967, 502, 5687, 3697, 627, 23562, 288, 1053, 1101, 8935, 505, 279, 2349, 2533, 459, 7319, 8187, 19602, 374, 459, 3062, 8331, 7119, 19994, 15022, 4315, 2683, 32177, 13, 9176, 4754, 7487, 527, 2753, 43131, 311, 3881, 369, 10093, 430, 656, 539, 3449, 264, 3738, 8187, 19602, 11, 902, 11141, 9873, 2753, 4461, 311, 9504, 264, 3544, 7463, 315, 2683, 11426, 13, 1115, 649, 1304, 47609, 65151, 5107, 11, 439, 9873, 617, 264, 16127, 892, 9455, 15337, 7487, 369, 872, 8187, 19602, 10093, 13, 10771, 311, 828, 14890, 505, 279, 2467, 689, 23508, 5452, 11, 2683, 35871, 369, 10093, 12798, 400, 717, 824, 6596, 477, 2753, 3629, 656, 539, 5371, 1690, 32177, 627, 2028, 9327, 304, 14740, 65873, 4315, 32177, 3196, 389, 2683, 23998, 15151, 264, 1205, 311, 2349, 279, 6918, 8187, 19602, 13, 1102, 374, 3284, 430, 264, 400, 868, 8187, 19602, 5376, 1436, 5353, 810, 15337, 11426, 311, 3881, 369, 8187, 19602, 10093, 11, 323, 430, 279, 45980, 4090, 315, 1207, 39088, 19602, 369, 66472, 7032, 1436, 3063, 311, 7191, 7631, 369, 1521, 10093, 323, 617, 6928, 6372, 304, 10960, 32959, 323, 1023, 47609, 65151, 627, 49, 51226, 279, 8187, 19602, 311, 400, 868, 1436, 1101, 1520, 311, 3345, 1057, 3224, 753, 10026, 323, 7102, 6108, 2343, 323, 12205, 33251, 13, 362, 1934, 505, 279, 5165, 41952, 7658, 5907, 1766, 430, 3278, 323, 1274, 315, 1933, 1051, 927, 53859, 304, 279, 32027, 315, 7487, 430, 1304, 2753, 1109, 400, 868, 459, 6596, 323, 927, 53859, 2949, 279, 19647, 323, 13073, 449, 1063, 315, 279, 8592, 49892, 315, 7487, 28744, 2753, 1109, 400, 868, 459, 6596, 13, 24296, 11, 264, 80153, 1396, 315, 23413, 7487, 527, 7559, 2949, 279, 220, 1691, 5415, 430, 10519, 264, 8187, 19602, 315, 400, 22, 13, 914, 459, 6596, 627, 2127, 9678, 6492, 555, 279, 23362, 11216, 10181, 2795, 430, 279, 1180, 1053, 5376, 23998, 369, 17715, 264, 4948, 315, 682, 5348, 7487, 323, 264, 8502, 315, 682, 44862, 7487, 323, 430, 810, 1109, 4376, 315, 279, 7487, 889, 1053, 8935, 1053, 387, 3278, 13, 1115, 1180, 1053, 1520, 311, 1862, 3278, 323, 23413, 8187, 19602, 7487, 39075, 11, 323, 304, 3815, 779, 1053, 1520, 311, 3345, 279, 10026, 323, 7102, 6108, 12205, 33251, 627, 4944, 14625, 38886, 315, 264, 32025, 95537, 40733, 369, 279, 88705, 24780, 198, 1966, 279, 1023, 1450, 11, 1884, 2403, 7859, 279, 6918, 8187, 19602, 311, 400, 868, 459, 6596, 617, 12090, 1690, 5627, 304, 902, 279, 2349, 1436, 387, 264, 49836, 369, 1884, 304, 279, 47609, 5064, 13, 6104, 279, 4623, 315, 19054, 279, 8187, 19602, 7194, 4028, 279, 3224, 374, 10968, 389, 84015, 7487, 11, 8081, 388, 18046, 430, 433, 1436, 1121, 304, 73443, 16296, 369, 7487, 323, 23234, 627, 32, 5526, 5811, 2403, 279, 8187, 19602, 5376, 374, 430, 9873, 1053, 7831, 13, 35321, 23998, 369, 8420, 1253, 1121, 304, 7319, 10565, 7194, 369, 2678, 9873, 13, 3161, 279, 47609, 5064, 1120, 7314, 311, 11993, 1578, 1306, 279, 8389, 6372, 315, 279, 15603, 38074, 12, 777, 28522, 11, 1690, 8081, 388, 315, 279, 4121, 11196, 430, 7319, 6020, 8631, 505, 7859, 279, 8187, 19602, 1053, 387, 2288, 5107, 264, 23104, 369, 279, 5064, 311, 51571, 627, 56851, 99441, 1101, 3802, 430, 264, 8187, 19602, 5376, 311, 400, 868, 1436, 13194, 7931, 889, 17631, 389, 3600, 430, 3539, 8187, 19602, 7487, 11, 1778, 439, 80271, 12850, 13, 10771, 311, 264, 1934, 555, 578, 34243, 5114, 11, 264, 80637, 65509, 8187, 19602, 5376, 311, 400, 868, 459, 6596, 1053, 5376, 80271, 7194, 555, 220, 1691, 4, 4028, 682, 5415, 13, 9176, 9053, 1005, 80271, 3600, 311, 6106, 279, 7296, 315, 872, 2911, 1418, 814, 990, 477, 23564, 5190, 6873, 311, 1862, 872, 8689, 13, 2030, 449, 80271, 7194, 7859, 449, 279, 8187, 19602, 11, 420, 1253, 387, 39075, 65069, 369, 47609, 5064, 7487, 11, 5423, 304, 5789, 449, 36342, 4827, 23998, 13, 25274, 80271, 3600, 653, 2715, 36270, 369, 9053, 5496, 304, 5789, 449, 3428, 41238, 37671, 1436, 19407, 24927, 279, 9511, 3157, 304, 1884, 13918, 627, 2173, 3388, 11, 279, 2349, 311, 5376, 279, 8187, 19602, 1053, 7958, 3738, 5789, 304, 14091, 79962, 5627, 13, 20817, 389, 279, 12742, 37671, 2949, 2204, 5415, 11, 584, 1053, 387, 3025, 311, 1755, 264, 2134, 315, 3135, 505, 279, 4121, 11, 323, 1268, 3738, 19647, 304, 1884, 5789, 1093, 279, 47609, 5064, 527, 11754, 13, 362, 6918, 11, 14113, 8187, 19602, 5376, 1053, 73152, 5536, 9873, 304, 5415, 449, 264, 4827, 2853, 315, 5496, 439, 16475, 311, 264, 5190, 832, 13, 350, 552, 1990, 8187, 19602, 323, 25544, 1253, 1893, 4819, 304, 4827, 41238, 5789, 5423, 422, 279, 4121, 1051, 311, 1522, 627, 60146, 279, 8187, 19602, 311, 279, 1890, 3392, 369, 682, 279, 3224, 753, 37671, 4028, 279, 4580, 1436, 19407, 7958, 7931, 315, 37671, 449, 4827, 5496, 23998, 13, 32886, 1436, 7831, 323, 26690, 7969, 1436, 5376, 304, 1521, 7634, 11, 2533, 23234, 1253, 539, 387, 3025, 311, 10150, 311, 2343, 279, 9408, 3392, 311, 872, 8420, 13, 578, 7319, 8187, 19602, 1436, 1121, 304, 1063, 5789, 315, 279, 3224, 25051, 8389, 16296, 1093, 25544, 11, 17162, 14740, 10708, 11, 323, 810, 4745, 9873, 627, 22186, 279, 88705, 24780, 67450, 505, 74540, 279, 32025, 95537, 5380, 791, 8712, 315, 19054, 279, 12411, 32025, 95537, 311, 400, 868, 459, 6596, 8625, 264, 32813, 11249, 311, 420, 1938, 13, 578, 4121, 753, 11223, 4442, 8854, 311, 8935, 8187, 19602, 7487, 323, 1436, 1893, 7191, 7631, 369, 8187, 19602, 7032, 449, 7319, 2683, 26206, 323, 11293, 48639, 11, 902, 1253, 4827, 4967, 7194, 369, 9873, 11, 4933, 14740, 7969, 11, 323, 1520, 311, 3345, 10026, 323, 7102, 6108, 12205, 33251, 627, 11458, 11, 1070, 1436, 387, 73443, 3135, 315, 279, 19123, 12579, 439, 1664, 11, 902, 1436, 1121, 304, 5190, 10565, 7194, 369, 2678, 9873, 11, 8389, 25949, 389, 3428, 41238, 37671, 11, 323, 7319, 18512, 369, 80271, 3600, 627, 8142, 433, 374, 3062, 311, 387, 8010, 315, 279, 10093, 389, 2225, 11314, 315, 420, 26654, 11, 584, 520, 2467, 689, 10105, 1862, 279, 5915, 315, 7859, 8187, 23998, 311, 1888, 363, 6762, 20448, 311, 7931, 3318, 2949, 279, 47609, 5064, 13, 6104, 279, 4121, 753, 12579, 1253, 617 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 40, 3350, 311, 499, 420, 11714, 449, 9959, 20562, 12, 777, 9013, 323, 5070, 439, 1664, 439, 3293, 27743, 3754, 627, 2028, 690, 387, 279, 1566, 17496, 20846, 3156, 6250, 13, 6104, 1063, 315, 279, 2038, 1253, 2873, 59177, 11, 433, 1587, 1935, 856, 323, 856, 5687, 753, 892, 311, 2231, 420, 3871, 1475, 2046, 323, 584, 527, 2133, 311, 3041, 13520, 264, 1464, 369, 6287, 13, 5046, 3388, 11, 422, 2555, 34771, 8741, 11, 358, 690, 2567, 499, 16369, 13, 358, 3987, 430, 499, 323, 701, 8689, 617, 264, 6220, 323, 32180, 7474, 627, 2620, 315, 36962, 198, 12, 3314, 28600, 198, 12, 5165, 28600, 198, 12, 24562, 28600, 198, 12, 20562, 12, 777, 27866, 8245, 198, 12, 9917, 59788, 2617, 28600, 198, 12, 59788, 2617, 57413, 16607, 198, 12, 1115, 10563, 753, 11799, 4605, 198, 12, 83488, 31922, 10928, 425, 28600, 198, 12, 68505, 28600, 198, 12, 38895, 6401, 8471, 323, 16607, 198, 12, 11208, 311, 21335, 198, 10510, 39, 86586, 288, 25603, 27121, 311, 18042, 1295, 34507, 388, 198, 644, 264, 5887, 220, 1682, 6661, 11, 6011, 315, 3142, 6401, 30454, 24079, 2171, 99839, 28932, 22108, 77605, 311, 463, 64119, 5662, 704, 311, 682, 6978, 889, 26456, 369, 57532, 35130, 11, 15253, 6978, 311, 5371, 57532, 35130, 439, 5246, 439, 814, 3719, 17446, 11, 2980, 1080, 28324, 4138, 315, 2225, 20236, 323, 20562, 12, 777, 40300, 11, 323, 2980, 20256, 47165, 44335, 13, 30454, 99839, 1101, 4691, 77605, 311, 1935, 1475, 6776, 2391, 33400, 21728, 311, 14027, 3357, 5606, 889, 706, 539, 3686, 4036, 904, 20562, 12, 777, 25474, 627, 2078, 1050, 14576, 27359, 449, 18766, 64, 369, 19116, 292, 2298, 20562, 12, 777, 100058, 198, 791, 38180, 8735, 1071, 6740, 433, 706, 8813, 459, 9306, 449, 18766, 64, 311, 3780, 220, 2287, 3610, 35130, 315, 279, 2883, 753, 1828, 9659, 315, 20562, 12, 777, 25474, 430, 11811, 279, 7701, 1380, 45164, 8019, 292, 2298, 11678, 11, 3403, 8312, 420, 12688, 369, 682, 889, 1390, 279, 33624, 57532, 13, 578, 2015, 315, 279, 293, 12031, 6689, 11263, 279, 17480, 1566, 2305, 430, 279, 6918, 3109, 1047, 27528, 220, 6550, 3610, 35130, 315, 264, 4528, 25474, 505, 21425, 5623, 26850, 97954, 13, 15281, 810, 25, 3788, 1129, 86, 11490, 71585, 14, 18, 48, 717, 56, 20, 77, 627, 39, 12228, 7943, 2914, 52910, 315, 58937, 79, 5241, 100058, 311, 4497, 34776, 220, 16, 13, 16, 34629, 423, 20274, 198, 791, 549, 815, 13, 6011, 315, 6401, 323, 11344, 8471, 320, 39, 12228, 8, 3432, 7376, 6787, 311, 22864, 459, 5217, 220, 25251, 11, 931, 35130, 315, 622, 25259, 4031, 3204, 25474, 11, 29057, 7859, 279, 8312, 315, 39803, 79, 5241, 25474, 35130, 311, 5415, 323, 56043, 13, 578, 5217, 25474, 24691, 11621, 311, 279, 810, 1109, 220, 13679, 11, 931, 35130, 315, 622, 25259, 4031, 3204, 25474, 430, 617, 2736, 1027, 12886, 311, 56043, 13, 622, 25259, 4031, 3204, 25474, 374, 28648, 555, 78080, 8997, 64466, 323, 12054, 555, 279, 12369, 323, 26166, 17128, 311, 5471, 2678, 79, 5241, 323, 39803, 79, 5241, 13, 15281, 810, 25, 3788, 1129, 4590, 28349, 14, 18, 3407, 39, 11032, 44, 198, 26479, 14024, 100058, 18905, 1233, 6658, 4978, 14097, 1555, 6287, 220, 605, 198, 791, 24562, 3142, 6401, 6011, 6209, 25474, 44335, 369, 7931, 20330, 220, 20, 323, 9191, 389, 6658, 4978, 14097, 505, 220, 17, 25, 410, 1389, 220, 19, 25, 410, 5975, 520, 220, 9079, 57555, 800, 11, 220, 17, 303, 6558, 13, 578, 1566, 28913, 690, 387, 389, 6287, 220, 605, 11, 220, 2366, 17, 13, 8618, 369, 459, 18101, 520, 3788, 1129, 4590, 28349, 14, 18, 11706, 40, 80, 410, 477, 1650, 220, 21717, 12, 23467, 12, 18781, 21, 449, 4860, 627, 79063, 12, 777, 27866, 8245, 198, 26479, 14024, 57413, 12, 7456, 27866, 198, 70635, 15744, 7649, 11, 3984, 1555, 264, 15664, 449, 356, 1341, 6401, 11, 374, 2561, 220, 22, 2919, 824, 2046, 311, 1274, 889, 3974, 477, 990, 304, 24562, 13, 27866, 520, 356, 1341, 6401, 753, 220, 16780, 21530, 6825, 3813, 374, 2561, 2391, 279, 2768, 4207, 512, 12, 7159, 1389, 6740, 11, 505, 220, 23, 25, 410, 264, 749, 13, 1389, 220, 23, 25, 410, 281, 749, 627, 12, 7884, 612, 7418, 11, 505, 220, 23, 25, 410, 264, 749, 13, 1389, 220, 21, 25, 410, 281, 749, 627, 2213, 60617, 649, 387, 34070, 2930, 520, 54877, 79505, 916, 2971, 309, 14024, 477, 13291, 374, 2561, 505, 356, 1341, 753, 12557, 5475, 8068, 520, 49293, 73737, 36587, 2726, 477, 555, 8260, 220, 23873, 12, 11209, 12, 17313, 22, 627, 1423, 20562, 12, 777, 27866, 198, 5618, 4034, 3148, 14489, 14, 1991, 2323, 291, 627, 7778, 67791, 20756, 369, 58338, 198, 5618, 4034, 259, 28349, 5574, 43, 19, 73, 369, 3649, 323, 311, 1715, 264, 1296, 16530, 627, 4940, 59788, 2617, 28600, 198, 53, 4575, 1572, 323, 34507, 388, 369, 15394, 198, 2170, 264, 27626, 11, 2911, 20330, 220, 21, 4038, 323, 9191, 527, 1457, 17446, 311, 5371, 279, 20562, 12, 777, 25474, 323, 2911, 17051, 220, 20, 1667, 323, 9191, 527, 17446, 369, 264, 20562, 12, 777, 57532, 19660, 627, 12, 95936, 5493, 529, 87638, 25, 7290, 701, 1716, 753, 10896, 477, 29198, 311, 8417, 25474, 18539, 627, 12, 2057, 1518, 682, 22108, 25474, 10687, 323, 1304, 37256, 11, 733, 311, 348, 710, 34439, 68471, 14489, 477, 650, 710, 5953, 4396, 916, 369, 2911, 449, 49069, 323, 5255, 1023, 28377, 3966, 627, 94709, 889, 617, 4036, 520, 3325, 220, 16, 19660, 25, 220, 7461, 11, 18650, 198, 68486, 59788, 15846, 64348, 25, 220, 4218, 11, 22876, 198, 94709, 449, 75292, 25, 220, 3226, 11, 4119, 198, 7749, 35130, 38018, 25, 220, 868, 11, 6280, 11, 22005, 198, 7749, 57532, 35130, 38018, 25, 220, 18, 11, 6330, 11, 26720, 198, 7749, 2132, 57532, 35130, 38018, 25, 220, 22642, 11, 19306, 198, 10510, 39, 16607, 389, 20562, 12, 777, 323, 58937, 79, 5241, 198, 79063, 12, 777, 87684, 25, 3788, 1129, 4590, 28349, 14, 18, 64, 43, 81, 54, 1484, 198, 97938, 79, 5241, 2038, 25, 3148, 14489, 14, 97116, 79, 5241, 198, 2028, 10563, 753, 20562, 12, 777, 11799, 4605, 198, 5618, 5296, 430, 1521, 527, 1193, 279, 5068, 5157, 13, 578, 5150, 1162, 14921, 527, 1234, 76833, 4245, 311, 1274, 1701, 11295, 7177, 520, 2162, 13, 10771, 311, 279, 40409, 11, 279, 20562, 12, 777, 4029, 2237, 304, 12877, 11814, 6406, 374, 25352, 627, 7749, 47124, 25, 220, 16, 11, 20899, 11, 19631, 198, 3648, 47124, 25, 220, 24, 11, 25741, 198, 7749, 85812, 25, 220, 777, 11, 24809, 198, 3648, 67791, 20756, 25, 220, 8878, 11, 16551, 198, 7749, 47124, 25, 220, 2148, 11, 18634, 198, 3648, 47124, 25, 220, 2148, 198, 7749, 85812, 25, 220, 11515, 198, 1423, 21416, 828, 28065, 25, 2766, 28349, 14, 18, 10407, 18, 71, 41, 74, 198, 27588, 22329, 20562, 28065, 25, 2766, 28349, 14, 18, 89, 23, 9258, 18, 34, 627, 5618, 1518, 3770, 369, 1063, 22020, 315, 279, 842, 315, 16287, 27743, 16079, 369, 220, 2366, 16, 12, 2366, 17, 13, 358, 690, 4430, 810, 3649, 3235, 449, 4443, 15160, 304, 459, 14827, 2613, 13, 358, 1097, 26259, 311, 30173, 2947, 13389, 11, 16478, 5384, 76064, 11289, 11, 323, 856, 18105, 369, 872, 39955, 311, 4737, 709, 19123, 430, 6144, 20134, 11062, 315, 279, 38298, 323, 8881, 279, 30601, 323, 2819, 315, 1057, 51720, 627, 78706, 269, 29492, 59124, 3402, 299, 68243, 39435, 8766, 198, 1966, 7742, 279, 22108, 47126, 5946, 1556, 3298, 24050, 37424, 369, 42889, 323, 10026, 71260, 2923, 287, 2512, 11, 323, 24245, 29492, 8667, 433, 1139, 2383, 3432, 13, 1115, 2383, 26420, 8276, 10401, 369, 20710, 2512, 2085, 6293, 954, 477, 32174, 323, 2680, 311, 24099, 20710, 389, 682, 586, 7926, 612, 12374, 53008, 11, 5636, 433, 20064, 9803, 430, 86144, 12933, 1253, 13262, 1137, 507, 7905, 11217, 1778, 439, 13147, 45936, 418, 1924, 13, 1115, 2383, 690, 1101, 6106, 9313, 369, 12850, 323, 704, 8838, 21395, 6978, 304, 22108, 13, 358, 1097, 26259, 430, 279, 4121, 358, 13019, 311, 5813, 264, 52041, 11509, 2015, 779, 5606, 304, 22108, 649, 636, 279, 13147, 72354, 430, 374, 1314, 369, 1124, 2085, 7781, 323, 449, 8276, 10401, 574, 961, 315, 420, 13543, 627, 19444, 23265, 1598, 19157, 2396, 37321, 1837, 220, 17, 13, 15, 198, 1966, 7950, 279, 22108, 47126, 5946, 1556, 3298, 8844, 311, 69741, 18637, 311, 279, 2254, 323, 15481, 586, 2890, 1887, 311, 2686, 83057, 304, 279, 9889, 315, 586, 2890, 3600, 11, 1101, 3967, 439, 37321, 1837, 220, 17, 13, 15, 13, 1115, 13543, 64664, 459, 7524, 323, 77109, 2254, 586, 2890, 1887, 430, 45799, 279, 9200, 3560, 430, 2254, 21126, 315, 2890, 8854, 304, 1057, 10977, 11, 505, 19019, 30438, 311, 264, 28522, 311, 10494, 1057, 3090, 11, 15926, 11, 323, 3805, 6220, 13, 1115, 4121, 26420, 7191, 25452, 369, 682, 220, 18113, 9919, 612, 25861, 304, 22108, 13, 362, 22514, 2254, 586, 2890, 2077, 374, 1057, 12474, 8333, 323, 26420, 264, 39345, 38298, 627, 44, 6430, 6401, 8471, 323, 16607, 198, 2746, 499, 477, 264, 10456, 832, 527, 20558, 11, 4587, 1440, 430, 499, 527, 539, 7636, 13, 2684, 527, 1063, 2294, 5070, 1618, 25, 9722, 261, 19, 10200, 916, 14, 2366, 16, 14, 93221, 79505, 59392, 9976, 90911, 76969, 1090, 3509, 32413, 46784, 36947, 16183, 32539, 198, 2028, 20770, 374, 6319, 311, 5471, 32487, 8427, 9349, 555, 86644, 39242, 323, 2349, 304, 1274, 889, 11682, 477, 1253, 11682, 872, 32487, 8427, 13, 1472, 649, 1505, 810, 2038, 520, 220, 605, 998, 605, 50222, 32539, 2726, 477, 555, 8260, 220, 23873, 12, 24809, 12, 16546, 16, 627, 9241, 311, 21335, 198, 2746, 499, 527, 3025, 311, 3041, 311, 3885, 2391, 420, 892, 11, 358, 15253, 499, 311, 1427, 311, 7634, 430, 527, 3318, 311, 1520, 1884, 1455, 11754, 555, 20562, 12, 777, 25, 9722, 261, 19, 10200, 916, 14, 2366, 16, 11505, 2492, 94600, 12, 548, 64992, 4791, 50570, 7716, 974, 63498, 12, 32157, 14656, 1824, 26664, 12, 777, 76969, 40, 1101, 15253, 499, 311, 33009, 311, 279, 2768, 11351, 430, 527, 23387, 304, 19739, 12437, 990, 25, 9722, 261, 19, 10200, 916, 14, 2366, 16, 14, 70353, 94600, 12, 548, 97202, 4210, 3502, 3880, 33211, 12, 39868, 29721, 76969, 2170, 2744, 11, 656, 539, 39666, 311, 5662, 704, 311, 757, 449, 4860, 477, 10742, 520, 2613, 36587, 916, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 1915, 89205, 315, 279, 10181, 315, 66102, 2508, 25, 2362, 323, 502, 11543, 198, 1915, 990, 374, 279, 1925, 2592, 315, 502, 7384, 11, 902, 527, 279, 2324, 94003, 315, 279, 8198, 315, 39211, 2508, 13, 18185, 279, 907, 315, 69637, 15661, 323, 279, 9904, 315, 6931, 990, 11, 5762, 304, 51677, 323, 18624, 15661, 11, 39211, 2508, 4250, 12178, 2085, 502, 45215, 811, 8405, 6617, 22540, 449, 3769, 6029, 315, 279, 3347, 13, 1561, 2115, 7224, 60131, 1274, 389, 311, 4933, 502, 4860, 922, 279, 3347, 323, 15253, 279, 49179, 315, 264, 810, 28254, 323, 49973, 1964, 1684, 315, 1690, 13970, 44247, 27000, 304, 69637, 61386, 1385, 13, 578, 1614, 315, 39211, 2508, 304, 904, 3224, 374, 11075, 311, 264, 24779, 13112, 555, 279, 2237, 315, 5820, 323, 279, 5528, 1511, 304, 2115, 3495, 627, 11769, 1060, 279, 10181, 315, 66102, 2508, 2942, 4861, 13489, 220, 1272, 31727, 6055, 323, 2115, 7411, 11, 902, 6920, 704, 2115, 990, 520, 6732, 682, 927, 279, 18455, 315, 7665, 8524, 11, 304, 3738, 5789, 315, 88810, 780, 8524, 11, 439, 1664, 439, 304, 10913, 13936, 11, 304, 17355, 36684, 89490, 309, 689, 11, 304, 3765, 31764, 1394, 689, 11, 279, 61811, 323, 304, 279, 3165, 1220, 655, 4469, 9683, 82179, 6438, 13, 18185, 279, 84140, 6532, 304, 279, 7471, 315, 45215, 811, 304, 1510, 4787, 11, 279, 2115, 26969, 315, 279, 10181, 527, 13205, 304, 1778, 264, 1648, 439, 311, 6106, 430, 61386, 1385, 505, 264, 7029, 87634, 2134, 505, 279, 28636, 11165, 6043, 66470, 311, 279, 6617, 11639, 649, 387, 20041, 4028, 264, 7029, 54001, 3158, 315, 88177, 689, 13, 4314, 26969, 3504, 69637, 6732, 315, 13882, 61469, 4595, 2737, 11165, 6043, 66470, 29135, 11, 1069, 266, 293, 27403, 8649, 6183, 7709, 5990, 505, 279, 36684, 66470, 323, 4275, 66470, 18852, 11, 55763, 1474, 3171, 505, 279, 45967, 13381, 11, 21968, 49974, 11, 6896, 12184, 9717, 82, 11, 19624, 6012, 323, 2700, 45218, 315, 279, 68533, 4261, 11, 42108, 45704, 323, 279, 6183, 7709, 5990, 315, 42108, 8690, 25861, 11, 1647, 2352, 552, 323, 10390, 1302, 505, 42108, 5444, 57512, 88, 13, 1115, 17009, 5825, 10015, 2038, 922, 1063, 315, 279, 7224, 11953, 704, 304, 220, 1049, 21, 4235, 1049, 24, 13, 578, 2875, 9908, 555, 279, 20965, 539, 1193, 21782, 279, 3135, 315, 279, 5652, 2115, 990, 719, 1101, 20461, 279, 26431, 315, 502, 14035, 369, 1057, 4689, 8830, 315, 279, 13042, 11618, 315, 279, 3347, 11, 369, 23524, 14154, 34775, 11, 42108, 5415, 323, 13970, 4455, 902, 3952, 2035, 3892, 24552, 4227, 627, 644, 1917, 39211, 2508, 264, 3361, 2035, 374, 14902, 291, 311, 1317, 9860, 26969, 520, 3230, 6732, 8649, 8104, 31720, 61386, 1385, 477, 304, 902, 279, 69637, 2317, 11, 14154, 14726, 477, 3769, 52448, 69153, 527, 5423, 1664, 2320, 52202, 13, 6104, 14691, 279, 14135, 902, 3952, 6211, 304, 279, 19953, 4261, 315, 11469, 1317, 5098, 2115, 1816, 38737, 369, 279, 4007, 315, 11165, 6043, 66470, 29135, 11, 68533, 9919, 315, 279, 4892, 40870, 292, 5654, 323, 16036, 36282, 304, 42108, 42076, 11, 279, 10181, 315, 66102, 2508, 753, 31727, 6055, 11, 304, 20632, 449, 51677, 323, 23978, 11, 527, 5131, 45215, 1113, 264, 1396, 315, 5016, 6732, 11, 1778, 439, 279, 11165, 6043, 66470, 3190, 520, 62531, 954, 74, 11, 921, 278, 2119, 411, 292, 323, 45967, 6830, 713, 6732, 520, 25672, 32595, 3458, 304, 12911, 11, 279, 68533, 9919, 315, 25566, 2852, 323, 2405, 276, 351, 11015, 11, 42108, 4723, 5746, 347, 323, 10846, 26775, 1394, 276, 13, 66102, 5848, 40487, 12, 17602, 315, 420, 3169, 1304, 433, 3284, 311, 23564, 3544, 13230, 12624, 26470, 323, 1243, 3094, 555, 3094, 311, 2867, 279, 44397, 93170, 315, 45704, 323, 279, 6932, 315, 14726, 927, 3544, 5789, 11, 311, 6667, 323, 49229, 60826, 23205, 439, 28111, 1154, 315, 7384, 323, 311, 7417, 3495, 12823, 1701, 3217, 323, 6677, 315, 279, 3230, 17910, 315, 264, 2816, 8767, 41165, 13, 14727, 49053, 3135, 12457, 304, 3293, 1667, 1501, 430, 279, 4754, 315, 1778, 1664, 22015, 6732, 374, 3117, 505, 39019, 323, 430, 279, 5912, 9546, 315, 12074, 520, 1401, 69637, 6732, 8625, 264, 16996, 2449, 304, 279, 8244, 8446, 369, 2115, 990, 627, 1966, 279, 1023, 1450, 11, 369, 279, 6992, 4500, 315, 39211, 2508, 11, 439, 13118, 315, 904, 1023, 26434, 11, 4442, 315, 5216, 323, 502, 9021, 527, 7718, 11, 439, 527, 13865, 311, 22477, 1884, 13970, 18852, 323, 54001, 13918, 315, 279, 3347, 11, 902, 527, 779, 3117, 2697, 3967, 477, 539, 9621, 520, 682, 13, 763, 2015, 311, 4933, 502, 4860, 922, 279, 3347, 11, 459, 39211, 16549, 2011, 387, 3025, 311, 23075, 279, 33464, 315, 1884, 6732, 449, 5144, 902, 527, 2736, 32620, 9749, 304, 69637, 29085, 13, 362, 17550, 6727, 315, 502, 97539, 6732, 3629, 3727, 433, 3284, 311, 75224, 323, 16805, 13042, 44247, 323, 13970, 4455, 11, 902, 2643, 6062, 617, 14958, 4994, 1057, 2115, 315, 11376, 422, 1193, 990, 315, 264, 8776, 3169, 1047, 1027, 11953, 4741, 13, 9176, 315, 279, 3495, 7224, 11953, 704, 555, 31727, 6055, 505, 279, 10181, 315, 66102, 2508, 304, 3293, 1667, 617, 1027, 20034, 520, 28462, 31839, 311, 7491, 1884, 1054, 96315, 2490, 863, 315, 279, 3347, 11, 902, 3156, 6051, 1047, 1027, 33251, 304, 1057, 6677, 13, 32323, 315, 420, 3169, 11, 1455, 315, 902, 1051, 70764, 555, 279, 8690, 14584, 41582, 11, 279, 8690, 5114, 369, 87345, 323, 279, 8690, 5114, 369, 14967, 8483, 11, 617, 10675, 36684, 66470, 6183, 7709, 5990, 304, 279, 1069, 266, 293, 27403, 315, 279, 17229, 1147, 11, 45967, 6830, 713, 44397, 1908, 45704, 304, 279, 6233, 404, 2439, 315, 23223, 11, 7447, 12, 81518, 36282, 315, 2410, 505, 279, 21943, 26572, 304, 279, 8582, 25501, 315, 279, 4418, 11, 323, 264, 58953, 55763, 79255, 505, 279, 1176, 4376, 315, 279, 358, 89785, 9827, 304, 279, 35487, 52647, 10901, 5849, 68, 13, 362, 3682, 1567, 369, 279, 69637, 1917, 574, 279, 18841, 315, 6732, 315, 279, 10846, 81331, 21023, 304, 423, 425, 24986, 2001, 279, 30758, 6029, 315, 3823, 17516, 2949, 279, 18455, 315, 1057, 3224, 627, 791, 7138, 315, 2115, 39211, 2508, 304, 279, 6617, 1917, 374, 1694, 27367, 810, 323, 810, 555, 17629, 45215, 811, 11, 304, 902, 279, 6727, 315, 3495, 26470, 690, 387, 11075, 555, 9256, 20034, 520, 279, 46643, 315, 61386, 1385, 11, 902, 3621, 311, 387, 304, 26467, 743, 16038, 369, 6617, 8246, 13, 763, 279, 1176, 13515, 315, 420, 9478, 2391, 279, 8246, 30845, 11, 279, 8244, 13112, 315, 17629, 45215, 811, 304, 8524, 574, 3117, 7191, 1109, 430, 315, 2115, 26969, 11953, 704, 2949, 279, 12914, 315, 32227, 14584, 7224, 13, 763, 420, 6671, 459, 30883, 1205, 574, 311, 6106, 459, 22281, 2237, 315, 17629, 45215, 811, 439, 3117, 439, 38152, 574, 11920, 11, 430, 12624, 9021, 1288, 387, 4613, 449, 810, 16437, 323, 430, 35416, 1288, 387, 7263, 304, 889, 1051, 13171, 539, 16632, 315, 279, 11156, 14975, 2631, 11, 719, 889, 1051, 1101, 3025, 311, 17210, 311, 279, 12624, 23692, 315, 69637, 7384, 13, 45503, 39211, 2508, 45179, 555, 7411, 505, 279, 10181, 1990, 220, 1049, 21, 323, 220, 1049, 24, 3984, 9024, 10708, 369, 95935, 3544, 5789, 315, 14154, 323, 42108, 17516, 11, 369, 24834, 4183, 6732, 2949, 279, 2860, 3158, 323, 369, 90300, 1139, 7634, 430, 304, 19664, 4787, 1053, 617, 1027, 5107, 369, 39211, 22012, 311, 2680, 320, 2000, 3187, 1139, 279, 8792, 961, 315, 18526, 9919, 449, 264, 29050, 20545, 315, 6617, 14016, 570, 39995, 402, 811, 315, 420, 3169, 1903, 433, 3284, 311, 1304, 24779, 31003, 304, 279, 4007, 315, 42108, 25861, 11, 1778, 439, 113381, 48558, 68411, 11, 36011, 11, 4723, 5746, 347, 11, 4487, 337, 729, 74, 323, 23223, 11, 323, 311, 10765, 5016, 69637, 69125, 5938, 449, 279, 8406, 315, 4892, 40607, 944, 42076, 555, 279, 44539, 3145, 11, 2737, 3148, 7951, 10522, 304, 113381, 48558, 68411, 323, 23838, 30600, 315, 68705, 304, 36011, 13, 66102, 22012, 617, 1027, 3025, 311, 6994, 264, 6945, 315, 8767, 9987, 4595, 315, 42108, 55763, 6732, 304, 279, 60532, 355, 11, 2391, 45215, 811, 304, 279, 10353, 4245, 311, 387, 49886, 1306, 279, 8246, 315, 279, 1901, 640, 351, 17055, 37081, 2265, 2410, 5594, 367, 11, 311, 6667, 15525, 7384, 369, 279, 4007, 315, 14154, 323, 42108, 17516, 323, 2523, 261, 661, 32006, 2949, 279, 6617, 27930, 5859, 13584, 17593, 320, 35627, 6460, 2394, 29578, 570, 11361, 311, 17629, 45215, 811, 264, 502, 8197, 374, 27115, 1694, 5918, 709, 369, 279, 4007, 315, 264, 4459, 2134, 315, 4860, 47031, 311, 14154, 323, 42108, 3925, 11, 902, 3156, 6051, 1436, 539, 387, 57098, 1606, 315, 279, 6996, 315, 8336, 627, 24901, 11, 3682, 4442, 617, 4529, 2035, 304, 3293, 11026, 304, 279, 6725, 315, 2115, 39211, 2508, 323, 279, 2134, 315, 12823, 323, 24198, 2561, 369, 433, 13, 19331, 369, 34118, 2115, 39211, 2508, 323, 7241, 369, 9455, 323, 25607, 6732, 617, 13241, 29057, 11, 439, 617, 20414, 311, 279, 14975, 315, 14154, 14726, 323, 6183, 7709, 5990, 323, 10886, 369, 279, 29772, 315, 2115, 7576, 13, 18766, 11156, 7766, 617, 1903, 3284, 3117, 810, 24473, 14975, 315, 14154, 6732, 323, 279, 9886, 315, 7576, 430, 9539, 8881, 9568, 3649, 323, 8617, 33482, 264, 2816, 753, 1772, 98033, 402, 367, 2324, 13, 578, 1005, 315, 1054, 82, 19245, 5528, 863, 369, 38936, 6183, 7709, 5990, 323, 279, 28786, 323, 10112, 4504, 315, 34751, 617, 72849, 810, 17879, 4526, 315, 69637, 7384, 323, 279, 33289, 315, 9214, 315, 2678, 14035, 505, 96078, 11, 902, 304, 279, 3347, 1053, 617, 9670, 709, 304, 65893, 93740, 13, 578, 3769, 1917, 315, 279, 3347, 706, 1027, 89804, 555, 264, 49068, 315, 8767, 30547, 6302, 627, 1966, 279, 1023, 1450, 11, 17629, 45215, 811, 2949, 3544, 5789, 617, 369, 279, 1176, 892, 1903, 433, 3284, 311, 3335, 4686, 6787, 315, 45704, 323, 55763, 12, 63211, 11, 902, 527, 779, 7718, 369, 312, 12, 46002, 872, 18751, 6932, 12912, 323, 279, 29079, 7471, 315, 6439, 323, 2523, 261, 661, 12659, 13, 83471, 38737, 323, 20632, 1990, 39211, 22012, 323, 3980, 79454, 11, 17614, 14248, 323, 39211, 45739, 276, 1705, 617, 59754, 264, 810, 24473, 1684, 315, 69637, 6732, 2949, 279, 2317, 315, 279, 11091, 6043, 78, 12, 89491, 13, 1561, 7224, 369, 279, 8990, 315, 7091, 1989, 304, 50766, 83, 1631, 301, 11, 279, 21968, 49974, 315, 279, 63649, 276, 17593, 11, 45704, 449, 264, 8045, 59402, 6932, 304, 279, 17355, 60532, 355, 323, 42108, 45704, 304, 3296, 301, 2689, 14486, 527, 682, 7060, 10507, 315, 279, 3851, 315, 13241, 5528, 304, 2115, 39211, 2508, 323, 279, 7342, 315, 502, 11156, 20414, 2225, 2949, 39211, 2508, 5196, 323, 520, 279, 1486, 1405, 433, 62370, 2286, 449, 1023, 49255, 13, 2435, 527, 8736, 709, 369, 603, 27949, 315, 264, 9615, 6617, 2115, 39211, 2508, 11, 539, 1193, 439, 264, 1648, 315, 7859, 279, 12472, 315, 7384, 12457, 323, 8617, 22822, 287, 15661, 315, 61386, 1385, 2736, 2561, 11, 719, 1101, 439, 264, 5965, 275, 8046, 502, 3445, 315, 6975, 922, 279, 3347, 11, 323, 8617, 3339, 1057, 6945, 315, 433, 810, 50401, 323, 13513, 627, 38294, 315, 279, 10181, 315, 66102, 2508, 198, 1073, 279, 8690, 16192, 315, 23199 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 31305, 220, 16, 12, 11160, 67680, 1413, 23314, 320, 679, 24, 12, 2366, 15, 8, 23998, 1193, 198, 11855, 52, 63937, 3697, 311, 3009, 1701, 4443, 2849, 611, 6505, 18084, 369, 990, 198, 2181, 706, 2586, 311, 1057, 6666, 430, 1690, 5687, 1005, 872, 4443, 2849, 18084, 311, 19570, 9200, 2038, 922, 4236, 323, 5255, 2683, 28423, 323, 32272, 627, 2028, 374, 18815, 369, 3892, 8125, 512, 791, 9474, 36659, 1054, 43456, 863, 682, 17320, 922, 4236, 323, 4443, 18084, 1436, 3719, 961, 315, 459, 8990, 11, 1436, 387, 35363, 11, 323, 5255, 1436, 387, 3917, 311, 586, 28957, 627, 791, 9474, 706, 539, 51578, 279, 1005, 315, 4443, 18084, 449, 279, 7354, 52, 627, 2520, 1521, 8125, 11, 584, 12428, 92213, 56, 35514, 11010, 682, 3697, 311, 46637, 1701, 4443, 2849, 18084, 369, 9474, 2626, 555, 279, 842, 315, 420, 2978, 1060, 627, 1687, 4284, 430, 11, 449, 5363, 311, 17320, 449, 38212, 11, 499, 6179, 320, 50998, 4669, 2613, 477, 304, 1732, 8, 279, 29193, 315, 279, 2768, 512, 2118, 34160, 311, 10742, 2231, 13544, 555, 279, 7354, 52, 11, 358, 690, 912, 5129, 1005, 856, 4443, 2849, 4641, 369, 9474, 10758, 13, 358, 3197, 311, 3009, 1701, 856, 4443, 2849, 4641, 439, 315, 5651, 220, 1627, 11, 220, 679, 23, 13, 5321, 1095, 757, 1440, 1268, 358, 1288, 1755, 311, 19570, 449, 499, 7314, 304, 6250, 49216, 1687, 4284, 430, 11, 449, 5363, 311, 17320, 449, 18105, 889, 527, 539, 74051, 11, 499, 6179, 1124, 315, 279, 2768, 512, 14305, 7354, 52, 374, 65774, 430, 584, 912, 5129, 1005, 1057, 4443, 2849, 18084, 369, 9474, 10758, 13, 3011, 3445, 430, 584, 1288, 539, 387, 69094, 832, 2500, 922, 4236, 323, 5575, 3966, 323, 369, 5217, 1862, 13, 5321, 1518, 279, 75829, 2231, 704, 555, 279, 7354, 52, 369, 810, 3649, 13, 358, 3197, 311, 3009, 1701, 856, 4443, 2849, 4641, 439, 315, 5651, 220, 1627, 11, 220, 679, 23, 13, 6914, 753, 4358, 1023, 5528, 315, 10758, 323, 3508, 477, 539, 584, 1205, 311, 5662, 704, 311, 1057, 38212, 369, 459, 10778, 369, 1828, 2978, 1060, 13, 1226, 649, 1101, 3137, 449, 279, 7354, 52, 41511, 323, 51013, 685, 2128, 3697, 369, 19351, 49216, 2520, 810, 11944, 2038, 323, 4754, 5897, 85450, 11, 4587, 1373, 389, 627, 35862, 10507, 315, 4443, 2849, 4641, 1005, 2997, 512, 6806, 33951, 3046, 1701, 4443, 2849, 18084, 311, 1495, 1370, 59948, 69, 1362, 1147, 389, 872, 4443, 2849, 18084, 922, 4040, 32272, 323, 4442, 304, 16720, 198, 6806, 47802, 1701, 4443, 2849, 18084, 439, 13147, 19015, 994, 389, 2115, 23277, 198, 6806, 47802, 323, 1370, 59948, 69, 1362, 1147, 69094, 38212, 389, 4443, 2849, 18084, 2391, 58187, 304, 902, 814, 1205, 5217, 5687, 1862, 198, 6806, 47802, 11, 426, 13276, 2170, 11, 323, 1370, 59948, 69, 1362, 1147, 42247, 449, 832, 2500, 389, 4443, 1495, 14906, 311, 3493, 2038, 922, 5575, 31301, 323, 5066, 1862, 3966, 198, 6806, 47802, 323, 38212, 1701, 4443, 2849, 18084, 311, 3839, 5575, 28116, 505, 538, 311, 538, 198, 6153, 3892, 20954, 922, 4443, 2849, 4641, 1005, 2391, 7354, 52, 18362, 8925, 11, 3402, 9251, 323, 64004, 5230, 685, 8068, 16659, 13, 323, 75537, 449, 386, 15559, 11, 279, 7354, 52, 14035, 1521, 10742, 512, 791, 1005, 315, 4443, 2849, 18084, 706, 539, 1027, 51578, 449, 279, 7354, 52, 13, 1102, 374, 539, 6762, 311, 1755, 603, 311, 1005, 1057, 18084, 2085, 6300, 20448, 11, 5423, 994, 3885, 527, 3984, 2978, 18084, 13, 763, 5369, 11, 2085, 24345, 11, 912, 5718, 617, 1027, 9749, 369, 872, 6300, 1005, 627, 2803, 32764, 11, 279, 3142, 22293, 7658, 315, 22108, 7612, 430, 682, 2978, 17320, 2011, 387, 35363, 555, 459, 4033, 3335, 54516, 13, 63909, 11, 433, 1436, 387, 18784, 430, 1495, 6743, 18815, 2978, 2626, 2011, 387, 35363, 11, 323, 1884, 17320, 1253, 387, 3917, 311, 586, 28957, 304, 3717, 449, 264, 2764, 586, 7576, 1715, 13, 3234, 584, 2744, 5429, 1057, 17320, 449, 459, 8071, 9017, 586, 28957, 5380, 2746, 279, 11182, 706, 264, 4747, 922, 22755, 320, 269, 904, 1023, 3769, 8, 389, 701, 4641, 11, 814, 1253, 2610, 311, 1518, 701, 2849, 4641, 311, 19874, 13, 6104, 499, 617, 264, 1314, 311, 26122, 311, 4430, 701, 2849, 4641, 320, 39870, 10434, 449, 264, 2383, 3725, 11136, 73869, 477, 7236, 705, 420, 1253, 2231, 499, 304, 264, 5107, 2361, 430, 1253, 387, 26310, 31890, 555, 539, 1701, 279, 4641, 369, 2978, 2626, 627, 791, 7354, 52, 11692, 706, 59035, 1057, 10742, 311, 13929, 37330, 323, 10455, 47685, 64845, 389, 12387, 25975, 13, 6104, 814, 617, 682, 38477, 311, 39427, 449, 603, 11, 814, 617, 539, 3686, 10666, 264, 6425, 369, 1268, 5687, 1288, 10299, 9200, 10758, 2391, 279, 2978, 1938, 627, 11855, 52, 2942, 4861, 369, 264, 2978, 1938, 4236, 23528, 198, 18977, 13285, 36564, 50, 4735, 84330, 60079, 198, 791, 8113, 362, 22498, 55309, 9306, 320, 2000, 279, 220, 18, 4771, 4261, 220, 679, 21, 12, 679, 24, 8, 9749, 264, 13093, 311, 3477, 2038, 323, 1304, 19075, 389, 4819, 74055, 12917, 323, 6975, 11, 902, 1253, 2997, 719, 539, 387, 7347, 311, 25, 502, 28271, 11, 45731, 323, 54696, 4819, 11, 4865, 77997, 369, 2536, 15144, 3039, 17274, 2754, 3037, 1705, 11, 14523, 1949, 16163, 11, 22033, 892, 11, 323, 20632, 892, 13, 578, 7580, 315, 420, 13093, 374, 311, 11886, 5435, 315, 54696, 25228, 2461, 11, 323, 374, 27800, 555, 22108, 3331, 42089, 11, 12735, 220, 3965, 36, 3857, 220, 605, 11, 439, 824, 279, 8113, 362, 5226, 13, 578, 2683, 315, 279, 7354, 52, 5664, 1096, 90951, 10554, 3697, 374, 311, 19570, 449, 3697, 11, 10765, 5435, 11, 323, 990, 449, 279, 8735, 311, 1913, 295, 2957, 872, 11223, 10105, 627, 791, 13093, 17610, 315, 3116, 3697, 21489, 555, 279, 68984, 323, 3116, 21489, 555, 279, 7354, 52, 13, 578, 3116, 7354, 52, 3697, 527, 25, 28217, 40491, 331, 320, 14934, 6082, 4242, 30169, 705, 1708, 10994, 1221, 1215, 320, 33, 12228, 15506, 30169, 705, 30928, 88252, 320, 49, 3200, 273, 39841, 323, 11688, 8092, 16549, 8, 323, 33467, 468, 1693, 31361, 392, 363, 320, 11855, 52, 4900, 570, 578, 1080, 79781, 77751, 527, 33467, 323, 45130, 480, 1468, 729, 11, 32724, 68984, 369, 45377, 323, 21579, 13, 578, 13093, 690, 3449, 922, 220, 21, 12, 23, 3115, 824, 1060, 627, 5501, 58014, 323, 9386, 1392, 198, 2170, 50794, 3663, 7859, 18651, 389, 872, 54696, 11, 16625, 555, 38952, 11, 4865, 77997, 11, 7649, 323, 13122, 8670, 11, 2917, 57333, 2349, 11, 72345, 8446, 2349, 11, 17226, 323, 6485, 5575, 3966, 11, 323, 1023, 9547, 11, 872, 5845, 311, 3493, 9250, 3600, 311, 4236, 374, 12207, 2781, 6879, 13, 74540, 398, 11, 22798, 54696, 374, 409, 33359, 50794, 529, 8824, 311, 10519, 3831, 3663, 4791, 30188, 12135, 449, 4236, 323, 5357, 389, 7524, 18637, 304, 72345, 6725, 627, 98982, 3046, 990, 2653, 323, 527, 17693, 11411, 311, 872, 4236, 529, 6975, 323, 1664, 33851, 13, 3277, 584, 2686, 54696, 4819, 11, 584, 1893, 279, 4787, 369, 50794, 311, 656, 872, 1888, 990, 11, 323, 584, 12192, 38656, 304, 12917, 323, 6975, 13, 2057, 420, 842, 11, 279, 7354, 52, 374, 33687, 555, 279, 2768, 16565, 323, 42356, 512, 12, 1226, 16044, 279, 9257, 20057, 315, 9250, 12917, 323, 6975, 430, 5097, 2035, 304, 279, 3142, 31483, 315, 15978, 1074, 11, 323, 584, 33449, 279, 17966, 315, 11326, 51360, 13, 10355, 3046, 1205, 11542, 311, 10368, 48919, 323, 32022, 304, 872, 990, 2001, 311, 10737, 30676, 11, 2274, 872, 1866, 10696, 55180, 950, 5528, 11, 323, 8417, 1268, 538, 892, 374, 1511, 2001, 304, 2015, 311, 13750, 4639, 279, 4236, 304, 872, 58216, 627, 12, 1226, 12192, 323, 10726, 3927, 50794, 529, 1314, 311, 1005, 653, 40121, 18852, 323, 14523, 12862, 94730, 304, 18859, 449, 872, 6721, 48919, 11, 323, 584, 690, 990, 449, 1057, 12637, 7354, 52, 3697, 311, 6106, 430, 1057, 3697, 3663, 912, 16750, 11, 43661, 477, 6259, 11, 16287, 477, 42887, 11, 369, 51582, 420, 1314, 627, 12, 1226, 3619, 430, 6721, 4500, 374, 1455, 7524, 994, 433, 374, 72146, 16625, 1389, 994, 50794, 8881, 389, 872, 3966, 323, 16136, 304, 46620, 872, 6975, 13, 1226, 1862, 50794, 529, 1005, 315, 872, 6721, 32022, 311, 2680, 279, 5070, 430, 690, 1888, 1520, 1124, 1862, 872, 4236, 627, 12, 1226, 15763, 279, 907, 315, 502, 7620, 323, 16346, 11, 5423, 1884, 430, 3139, 704, 315, 72146, 25243, 13, 4452, 11, 2085, 17879, 15813, 315, 279, 5536, 315, 1521, 28271, 11, 814, 649, 17210, 311, 54696, 25228, 2461, 430, 3242, 4825, 50794, 529, 18000, 311, 8854, 872, 4236, 1664, 13, 6150, 38212, 1288, 8666, 449, 50794, 1603, 323, 2391, 279, 8292, 315, 502, 28271, 11, 311, 50460, 904, 8389, 5536, 389, 72146, 54696, 627, 12, 1226, 2980, 433, 48696, 430, 16195, 41300, 315, 72146, 54696, 2011, 1935, 1139, 2759, 539, 1193, 4865, 77997, 323, 538, 1404, 11, 719, 1023, 5199, 9547, 2737, 320, 8248, 539, 7347, 311, 8, 279, 20057, 323, 23965, 315, 4236, 529, 3966, 11, 2631, 828, 4526, 323, 13122, 11, 323, 279, 8903, 430, 7524, 16659, 323, 20632, 1397, 5217, 892, 627, 12, 1226, 3987, 430, 279, 6150, 10554, 323, 3697, 315, 279, 8792, 8735, 690, 990, 449, 279, 11552, 439, 8717, 311, 29115, 369, 279, 44032, 315, 1614, 323, 6918, 76053, 430, 43047, 9045, 311, 3493, 459, 9250, 6873, 369, 1475, 5575, 627, 12, 1226, 21137, 279, 1314, 315, 279, 11552, 311, 45925, 45663, 927, 3318, 4787, 1778, 439, 1884, 7633, 1618, 11, 2391, 5226, 24345, 11, 477, 520, 1023, 3115, 422, 4787, 2349, 627, 8140, 8815, 439, 264, 9323, 2001, 3639, 499, 649, 656, 198, 2028, 374, 459, 3062, 6776, 311, 19570, 323, 31335, 2212, 4819, 430, 527, 9200, 311, 1057, 27375, 439, 50794, 323, 279, 4367, 315, 1057, 990, 14789, 13, 1226, 1205, 5127, 311, 512, 12, 16838, 349, 449, 832, 2500, 922, 11774, 584, 3663, 304, 1057, 3318, 6439, 13, 3639, 527, 279, 54696, 4819, 304, 701, 2683, 11, 304, 701, 4857, 11, 4028, 279, 9474, 5380, 12, 10995, 553, 323, 5255, 9604, 7354, 52, 16659, 311, 28696, 420, 21976, 323, 22815, 1862, 17057, 7354, 52, 9045, 311, 842, 27639, 54696, 627, 12, 20474, 430, 892, 42834, 288, 527, 264, 24693, 3575, 315, 27639, 990, 18651, 323, 17078, 323, 539, 279, 14867, 315, 279, 3927, 72146, 13, 43044, 323, 1862, 701, 18105, 439, 814, 10368, 872, 6721, 51360, 304, 19301, 1268, 311, 1005, 872, 990, 892, 627, 12, 18042, 1295, 22498, 1957, 323, 4562, 44254, 304, 1862, 315, 9045, 555, 3927, 50794, 477, 5315, 315, 50794, 311, 4017, 54696, 311, 13579, 5990, 323, 10519, 1579, 4367, 3600, 311, 4236, 627, 11764, 9013, 11, 3041, 11302, 11, 323, 4430, 701, 7422, 922, 420, 3062, 990, 13, 9842, 311, 3927, 3697, 477, 3729, 682, 7354, 52, 3697, 315, 279, 5664, 1096, 90951, 10554, 520, 25, 2613, 36587, 916 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2118, 6882, 32718, 430, 4359, 1057, 20941, 27441, 439, 10748, 323, 14867, 1752, 374, 420, 25, 311, 1427, 1306, 477, 85411, 323, 9923, 4336, 304, 872, 35104, 323, 311, 2567, 57669, 505, 1694, 95869, 555, 279, 1917, 863, 320, 29184, 220, 16, 25, 1544, 4390, 791, 3485, 506, 22780, 367, 555, 7957, 374, 26907, 832, 315, 279, 1455, 51533, 12659, 315, 22125, 3432, 13, 578, 4751, 837, 1054, 3833, 32718, 863, 1288, 539, 387, 16365, 1618, 304, 279, 1890, 1648, 439, 279, 1917, 19170, 5370, 44230, 13, 1102, 1436, 1101, 387, 25548, 439, 11, 1054, 1904, 9115, 2676, 477, 837, 56357, 2029, 2100, 11, 1148, 374, 279, 837, 13901, 477, 56357, 430, 279, 3492, 315, 4359, 16964, 5380, 8607, 23289, 837, 56357, 311, 387, 23788, 11, 54560, 11, 24863, 11, 21630, 323, 14392, 279, 19229, 17377, 11, 24096, 8993, 7640, 323, 70042, 311, 1274, 13, 4314, 527, 912, 10712, 1695, 12659, 719, 2085, 2768, 1148, 7957, 706, 57759, 13909, 584, 527, 2103, 264, 1317, 1648, 505, 837, 75456, 13, 4427, 1524, 4510, 430, 837, 56357, 374, 1120, 922, 5496, 459, 31308, 323, 16033, 2324, 13, 7557, 912, 16930, 25, 9115, 2676, 323, 23693, 527, 54682, 50256, 304, 5496, 279, 9052, 2324, 13, 35272, 29786, 54466, 11, 1054, 2822, 3169, 315, 10597, 3600, 7318, 311, 279, 1611, 488, 649, 387, 315, 904, 39011, 11, 422, 584, 39332, 279, 30336, 2383, 315, 23693, 49216, 40, 617, 13468, 1274, 97458, 311, 1403, 69971, 13, 4427, 3802, 430, 39153, 2191, 323, 25664, 527, 279, 9052, 10844, 323, 23693, 374, 539, 1057, 12014, 13, 14636, 11, 814, 5357, 389, 279, 13836, 323, 39332, 279, 2547, 13, 26080, 2105, 430, 23693, 374, 682, 430, 13146, 323, 39332, 39153, 2191, 13, 15483, 1274, 5357, 389, 279, 2547, 323, 39332, 279, 13836, 13, 22125, 617, 2744, 11411, 264, 16930, 555, 39332, 287, 311, 1518, 264, 1732, 439, 264, 4459, 13, 35272, 54466, 1071, 11, 1054, 1687, 3060, 1518, 264, 1732, 439, 264, 13836, 2085, 264, 2547, 477, 439, 264, 2547, 2085, 264, 13836, 2029, 30545, 416, 750, 11, 39153, 2191, 323, 23693, 527, 18813, 3062, 13, 1226, 527, 2631, 311, 3449, 2225, 279, 18330, 323, 7106, 3966, 315, 264, 1732, 13, 5751, 4339, 617, 912, 907, 422, 584, 656, 539, 32367, 20461, 279, 3021, 315, 4359, 627, 3947, 527, 2380, 2574, 7957, 6267, 922, 837, 13901, 11, 31720, 10748, 323, 14867, 1752, 56357, 304, 279, 14254, 315, 4359, 25, 264, 8, 21815, 1306, 279, 477, 85411, 11, 293, 8, 36925, 2512, 315, 279, 9923, 4336, 304, 35104, 323, 272, 8, 56478, 57669, 505, 1694, 95869, 555, 279, 1917, 13, 7648, 22125, 527, 8010, 922, 10494, 5694, 3201, 505, 97706, 32097, 13, 1115, 5030, 374, 46728, 304, 12387, 6743, 323, 54466, 779, 26, 719, 1148, 922, 1057, 46096, 7119, 23693, 30, 1102, 374, 1071, 430, 279, 9923, 4336, 304, 279, 1561, 40214, 3115, 3287, 956, 617, 279, 11542, 311, 990, 323, 1862, 5694, 439, 814, 617, 3432, 26, 16472, 872, 71075, 374, 2731, 3432, 1109, 433, 3131, 574, 627, 791, 5357, 315, 420, 4652, 11, 9093, 11, 374, 389, 1054, 16751, 598, 9520, 889, 527, 2103, 279, 1455, 51533, 3857, 315, 1057, 4029, 3432, 11, 304, 34781, 315, 1694, 279, 1455, 83563, 13, 5046, 3388, 11, 420, 374, 539, 279, 49017, 922, 13901, 719, 1057, 6666, 311, 420, 4360, 11, 2085, 902, 1057, 56357, 311, 4359, 690, 539, 387, 10748, 323, 4686, 11, 649, 2646, 387, 62258, 13, 5751, 837, 10082, 304, 279, 10425, 10811, 3771, 649, 1193, 1121, 304, 1057, 6439, 279, 64050, 315, 5414, 3021, 311, 279, 3281, 275, 1088, 13, 32186, 374, 539, 264, 10597, 5820, 719, 264, 5496, 23693, 627, 3947, 527, 11990, 315, 477, 85411, 38067, 2212, 279, 1917, 3432, 11, 40666, 323, 653, 385, 2111, 13, 6781, 5604, 37, 6821, 430, 279, 1396, 315, 477, 85411, 31550, 374, 28448, 311, 5662, 220, 2096, 3610, 555, 220, 679, 15, 13, 763, 6890, 7636, 872, 1396, 374, 2212, 220, 717, 13, 2096, 3610, 13, 7429, 11, 6890, 706, 279, 7928, 1396, 315, 46060, 477, 85411, 1109, 904, 3224, 482, 323, 420, 1396, 374, 3685, 311, 2033, 304, 279, 1828, 4330, 1667, 627, 791, 13443, 315, 477, 85411, 304, 19278, 11, 1990, 17051, 315, 220, 868, 311, 220, 972, 11, 3585, 311, 264, 87028, 8903, 13, 1102, 374, 39223, 311, 5406, 430, 11, 1054, 39699, 389, 477, 85411, 2391, 420, 892, 315, 872, 6439, 617, 6982, 459, 13240, 220, 2031, 4, 315, 279, 13305, 842, 709, 304, 9977, 11, 220, 1399, 4, 315, 7724, 304, 50850, 11, 323, 220, 605, 12, 966, 4, 5379, 18639, 2029, 10541, 279, 11668, 1253, 13592, 11, 279, 17936, 323, 34973, 2144, 922, 1268, 477, 85411, 842, 709, 304, 9977, 11, 50850, 11, 18639, 323, 1524, 304, 1716, 9511, 374, 837, 304, 904, 3224, 627, 45600, 11, 584, 2197, 279, 3488, 11, 1148, 374, 279, 19035, 315, 279, 8993, 311, 279, 56467, 6439, 315, 279, 477, 85411, 11, 304, 67194, 311, 4359, 753, 3492, 30, 2209, 539, 279, 8993, 279, 1193, 18740, 315, 279, 832, 323, 1193, 837, 19048, 4359, 11, 6832, 1633, 7138, 374, 3021, 5380, 23274, 1306, 2582, 85411, 198, 791, 2768, 527, 279, 2380, 3445, 358, 30714, 311, 6725, 837, 13901, 439, 9932, 304, 7957, 220, 16, 25, 1544, 512, 64, 8, 578, 1888, 1648, 311, 1520, 477, 85411, 374, 555, 25375, 13, 1442, 1475, 9052, 3070, 87057, 832, 13036, 1855, 358, 5895, 422, 1070, 1053, 387, 904, 477, 85411, 2163, 304, 279, 1917, 13, 2650, 11364, 433, 374, 311, 11550, 264, 2478, 22125, 11, 889, 527, 1778, 264, 13987, 23413, 11, 48810, 477, 85411, 323, 7231, 1124, 46679, 3021, 8994, 3515, 2911, 315, 872, 1866, 0, 9930, 4359, 369, 1778, 6366, 1274, 0, 9576, 1752, 6699, 1288, 2980, 279, 26632, 315, 25375, 4856, 1109, 9861, 304, 46996, 323, 23023, 13, 1226, 1205, 311, 3619, 430, 279, 506, 22780, 367, 315, 7957, 374, 539, 5439, 311, 3674, 11351, 477, 48801, 5315, 26, 433, 374, 5439, 311, 1475, 9052, 889, 374, 264, 84795, 315, 3771, 10811, 13, 57243, 11, 584, 617, 33232, 1534, 279, 990, 315, 23693, 11, 28786, 1057, 6206, 1022, 3927, 12014, 627, 13622, 32538, 6, 13126, 25375, 374, 89019, 88968, 555, 4860, 922, 42922, 1389, 1054, 15346, 77, 1431, 856, 42922, 2216, 387, 2133, 311, 2911, 9405, 315, 856, 6680, 30, 43549, 1431, 430, 387, 264, 3575, 422, 358, 11142, 12671, 8489, 11, 13126, 420, 11, 279, 19229, 17377, 21667, 430, 584, 13520, 527, 279, 18306, 2911, 315, 4359, 1555, 10811, 3771, 320, 36, 764, 13, 220, 16, 25, 20, 570, 578, 10425, 539, 1193, 18306, 603, 439, 5414, 2911, 719, 1101, 6688, 603, 279, 2539, 3268, 315, 26419, 323, 1903, 603, 5414, 91401, 320, 53619, 13, 220, 19, 25, 20, 26, 12036, 13, 220, 1114, 570, 50487, 11, 304, 48810, 477, 85411, 323, 3339, 1124, 1057, 91401, 13434, 1431, 584, 4430, 279, 21507, 430, 584, 4036, 505, 4359, 30, 578, 10425, 706, 33944, 757, 449, 1403, 26419, 320, 44466, 2678, 6980, 8, 719, 1306, 1694, 23959, 555, 420, 54250, 11, 358, 617, 20250, 311, 11142, 459, 13036, 1139, 1057, 3070, 13, 358, 4510, 1070, 374, 912, 1023, 10728, 1648, 311, 1427, 1306, 477, 85411, 1109, 555, 872, 25375, 555, 1139, 9052, 8689, 627, 65, 8, 578, 1828, 1888, 1648, 311, 7945, 477, 85411, 374, 555, 279, 2254, 31012, 4737, 872, 12014, 13, 12220, 279, 1561, 40214, 3115, 1070, 1051, 912, 3674, 11351, 320, 6269, 29967, 8, 477, 13036, 1154, 439, 584, 617, 3432, 13, 7357, 8993, 574, 264, 3674, 5502, 323, 3952, 279, 12014, 315, 10695, 279, 83563, 323, 279, 477, 85411, 13, 7570, 2391, 279, 6278, 961, 315, 279, 2132, 9478, 11, 279, 17496, 4526, 315, 279, 8993, 574, 4529, 15871, 311, 1520, 279, 8009, 323, 279, 477, 85411, 13, 9441, 44068, 6952, 273, 469, 13, 95941, 4511, 35871, 430, 520, 279, 842, 315, 279, 8993, 63349, 11, 1054, 20670, 5616, 3952, 709, 264, 4526, 369, 12576, 311, 9923, 4336, 323, 477, 85411, 11, 279, 14363, 11, 279, 28240, 11, 323, 40721, 13, 578, 6574, 574, 1243, 27292, 11, 323, 682, 279, 1274, 1903, 872, 1648, 311, 872, 10632, 49216, 4071, 3432, 1268, 374, 279, 17496, 10209, 1511, 304, 1057, 31012, 30, 2209, 1070, 264, 39375, 311, 743, 10980, 505, 279, 8993, 753, 10209, 311, 1520, 279, 477, 85411, 323, 279, 83563, 30, 2650, 11364, 433, 1053, 387, 422, 279, 31012, 2586, 4741, 311, 3493, 3691, 11, 23756, 323, 6873, 311, 279, 3281, 275, 1088, 2911, 0, 58603, 11, 9987, 311, 1690, 11, 1524, 2391, 279, 10846, 40214, 3115, 264, 3361, 8305, 383, 574, 9408, 3131, 304, 2380, 1667, 311, 7945, 279, 477, 85411, 11, 9923, 4336, 323, 1023, 8009, 1274, 320, 1951, 332, 13, 220, 975, 25, 1591, 12, 1682, 570, 2650, 527, 279, 259, 411, 288, 315, 279, 31012, 1511, 3432, 30, 3234, 279, 31012, 1005, 264, 961, 315, 872, 259, 411, 288, 311, 7945, 279, 477, 85411, 323, 279, 3281, 275, 1088, 5380, 82800, 11, 584, 1005, 264, 2763, 315, 4359, 753, 3300, 369, 2574, 539, 9932, 304, 279, 54250, 11, 1093, 14016, 11, 7620, 11, 16659, 1981, 12380, 2637, 323, 39332, 35988, 433, 369, 1148, 374, 57759, 13909, 11, 1093, 10695, 279, 477, 85411, 11, 63628, 9923, 4336, 11, 8009, 323, 83563, 13, 578, 31012, 617, 311, 3041, 459, 2759, 311, 4359, 994, 279, 19971, 4131, 5304, 1124, 439, 311, 1268, 66713, 814, 617, 1511, 4359, 753, 3300, 13, 20474, 11, 4359, 706, 264, 2294, 4747, 369, 279, 477, 85411, 13, 6941, 12570, 922, 21058, 11, 1054, 32, 7126, 311, 279, 7126, 1752, 11, 264, 29315, 315, 9923, 4336, 11, 374, 4359, 304, 813, 27823, 51688, 863, 320, 21051, 13, 220, 2614, 25, 20, 570, 64530, 83085, 3384, 279, 1274, 315, 4359, 311, 11, 1054, 755, 408, 279, 5353, 315, 279, 7126, 1752, 863, 320, 3957, 64, 13, 220, 16, 25, 1114, 4390, 13699, 11, 1070, 374, 264, 58644, 10163, 505, 4359, 311, 279, 6164, 11, 1054, 7927, 60996, 527, 36723, 11, 41957, 315, 61667, 26, 814, 682, 3021, 76712, 288, 323, 33586, 1306, 21258, 13, 2435, 656, 539, 10726, 279, 5353, 315, 279, 7126, 1752, 26, 279, 57896, 596, 1162, 1587, 539, 2586, 1603, 1124, 13, 15636, 279, 10425, 11, 279, 58477, 92414, 11, 279, 75268, 3861, 315, 6921, 11, 50888, 25, 330, 25797, 11, 358, 690, 636, 16337, 505, 856, 54844, 323, 264, 53305, 7182, 389, 856, 14207, 863, 320, 3957, 64, 13, 220, 16, 25, 1419, 12, 1187, 570, 8840, 11, 1268, 17936, 433, 374, 430, 4359, 6880, 6164, 439, 5414, 14207, 1606, 814, 6056, 1193, 311, 80779, 3769, 2574, 323, 5510, 5694, 11, 3515, 912, 4747, 311, 2559, 369, 279, 5353, 315, 279, 477, 85411, 323, 279, 83563, 0, 578, 6164, 2011, 539, 1193, 387, 25429, 311, 4639, 323, 71721, 719, 1101, 311, 2512, 369, 279, 477, 85411, 323, 279, 83563, 320, 53619, 13, 220, 17, 25, 605, 570, 14910, 539, 279, 39571, 645, 48772, 5694, 311, 23788, 323, 69423, 315, 279, 3492, 2085, 39332, 287, 311, 2512, 369, 279, 83563, 30, 320, 93324, 220, 21, 25, 16, 12, 19, 340, 66, 8, 578, 1403, 3445, 9932, 3485, 304, 3411, 1306, 279, 477, 85411, 527, 4382, 323, 43303, 13, 578, 4948, 3445, 311, 1520, 477, 85411, 374, 555, 31692, 323, 12899, 13036, 1154, 13, 2057, 4430, 264, 2144, 11, 6376, 709, 264, 9879, 13036, 425, 7612, 5190, 42484, 323, 18651, 810, 5149, 13, 1442, 264, 9052, 3070, 374, 539, 10032, 477, 12153, 311, 11142, 11, 477, 279, 8993, 374, 46243, 477, 58271, 311, 1935, 1778, 264, 12014, 11, 814, 649, 520, 3325, 1862, 13036, 1154, 430, 527, 36297, 11411, 311, 279, 2512, 315, 477, 85411, 627, 10156, 264, 3492, 315, 28930, 3582, 25, 3234, 539, 7945, 13036, 1154, 2085, 264, 16994, 16865, 439, 1063, 315, 1124, 2643, 387, 9749, 704, 315, 45743, 45715, 323, 369, 4443, 11626, 13, 1102, 342, 7379, 2396, 856, 4851, 311, 1518, 6164, 315, 3738, 13036, 1154, 5496, 264, 6800, 2324, 1418, 279, 477, 85411, 1234, 872, 12014, 527, 51533, 11, 23114, 75298, 323, 6982, 912, 3021, 323, 4747, 13, 2030, 430, 1694, 1071, 11, 1070, 527, 5115, 264, 2478, 13036, 1154, 430, 1935, 1695, 2512, 315, 477, 85411, 323, 1521, 527, 28390, 315, 28771, 1862, 627, 8607, 22125, 2873, 311, 3194, 279, 2294, 7580, 315, 1694, 6924, 555, 279, 21507, 315, 4359, 13, 578, 7580, 315, 46035, 374 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2028, 1772, 574, 33230, 555, 264, 4068, 389, 459, 2362, 4617, 555, 23194, 24971, 414, 13, 11361, 11, 23194, 11, 369, 264, 2294, 3488, 323, 264, 13893, 4106, 8712, 627, 8586, 753, 1148, 568, 4691, 512, 13347, 51300, 12, 358, 574, 3411, 520, 279, 5419, 36853, 389, 264, 47025, 323, 3411, 520, 1202, 17685, 6070, 449, 430, 2653, 40085, 1099, 66394, 12235, 927, 279, 45274, 323, 4851, 13, 2100, 358, 574, 20910, 422, 499, 527, 10658, 264, 8987, 61868, 29232, 3249, 539, 21818, 264, 17889, 1139, 279, 305, 27403, 8271, 369, 264, 82126, 13419, 6689, 13, 358, 1440, 499, 7752, 323, 342, 1147, 2011, 387, 264, 837, 15785, 1543, 304, 3339, 1778, 264, 6689, 1196, 619, 77, 1431, 420, 3665, 279, 305, 4214, 389, 2225, 11314, 315, 279, 47025, 369, 57338, 810, 13339, 6924, 1109, 39928, 505, 279, 17889, 5674, 5380, 4444, 2763, 315, 1148, 358, 4344, 2133, 311, 3350, 1457, 706, 1027, 5439, 1603, 11, 2225, 555, 757, 323, 555, 3885, 1524, 810, 26611, 520, 26073, 420, 13, 24941, 449, 757, 422, 499, 2736, 1440, 420, 11, 323, 2733, 1949, 311, 3085, 701, 1866, 1988, 323, 18463, 13, 1763, 5451, 315, 682, 11, 439, 3117, 439, 358, 4344, 11920, 1070, 527, 1193, 1403, 55586, 369, 264, 13339, 40827, 311, 9229, 4367, 13339, 11, 5423, 505, 279, 305, 4214, 1981, 304, 50659, 323, 3242, 266, 1873, 13, 2684, 374, 912, 1023, 2944, 311, 2231, 264, 17889, 1139, 279, 305, 4214, 477, 1203, 496, 2690, 13, 14144, 369, 279, 1314, 6689, 323, 1935, 433, 13, 14521, 1148, 701, 6166, 323, 17889, 690, 656, 11, 323, 2231, 430, 990, 4716, 499, 11, 4856, 1109, 4560, 311, 990, 2403, 433, 627, 2170, 3117, 439, 2010, 15300, 11, 358, 4070, 24891, 389, 420, 1603, 11, 719, 279, 5740, 1584, 374, 430, 279, 15635, 315, 1778, 264, 6689, 3117, 63074, 279, 3284, 7720, 627, 1271, 3240, 449, 11, 264, 47025, 753, 8271, 374, 12309, 2678, 11, 5423, 422, 499, 3207, 539, 10658, 7833, 1523, 389, 433, 13, 5659, 264, 4725, 6689, 9392, 11, 279, 2218, 3158, 374, 1193, 264, 2478, 15271, 520, 1455, 320, 1820, 14071, 389, 420, 6685, 374, 264, 14470, 18250, 13340, 315, 279, 2218, 3158, 369, 264, 13419, 11, 8271, 6689, 570, 362, 2678, 38664, 304, 279, 6689, 22165, 649, 1121, 304, 264, 28201, 11, 296, 2706, 287, 27653, 1981, 3060, 33812, 279, 47025, 753, 19689, 323, 72188, 56429, 11, 82356, 11, 477, 6548, 13, 5884, 315, 1521, 34254, 690, 1121, 304, 264, 1317, 11, 6435, 4648, 11, 323, 690, 1304, 15194, 323, 13654, 4661, 12266, 13, 763, 2875, 11, 433, 753, 264, 2216, 3958, 5873, 11, 8994, 279, 2144, 430, 1070, 527, 1690, 1274, 704, 1070, 889, 2103, 47177, 555, 433, 627, 791, 5811, 430, 264, 1054, 19045, 15785, 1543, 1288, 617, 912, 3575, 449, 430, 6689, 863, 374, 48008, 11, 1606, 433, 3250, 1431, 1935, 1139, 2759, 832, 9200, 2144, 13, 362, 2218, 520, 279, 2134, 374, 53735, 11, 1418, 459, 10065, 374, 539, 627, 2181, 753, 539, 2653, 369, 264, 26611, 15785, 1543, 311, 2231, 17889, 1306, 17889, 1139, 264, 2380, 25224, 2218, 11, 1524, 520, 220, 1041, 14006, 13, 578, 2218, 690, 2744, 387, 304, 7041, 279, 1890, 7858, 11, 520, 279, 1890, 6138, 11, 323, 279, 1890, 9392, 13, 9843, 264, 32671, 706, 279, 30126, 315, 279, 6689, 1523, 11, 433, 753, 32367, 17392, 13, 9580, 279, 42266, 11, 2585, 701, 27027, 11, 10299, 279, 8346, 6958, 11, 323, 499, 4805, 2231, 279, 17889, 1314, 1405, 499, 1390, 433, 1475, 3254, 892, 627, 4071, 264, 5496, 2218, 11, 1778, 439, 264, 47025, 11, 374, 2646, 6724, 2103, 13, 47966, 527, 304, 6926, 11633, 11, 323, 433, 753, 6220, 311, 2019, 430, 912, 961, 315, 459, 10065, 753, 2547, 11031, 810, 1109, 1202, 2010, 13, 3639, 753, 810, 11, 1884, 19567, 690, 5101, 6724, 4288, 311, 459, 22842, 11, 779, 18912, 279, 19567, 323, 279, 6689, 374, 539, 26569, 13, 362, 37693, 10065, 374, 15320, 74150, 311, 9302, 11, 8492, 22348, 11, 323, 83629, 56688, 11, 323, 682, 315, 1884, 25481, 1121, 304, 2010, 19567, 627, 2688, 1193, 1587, 279, 2010, 3118, 264, 17436, 11, 7366, 2218, 11, 433, 753, 1101, 23712, 555, 1063, 5128, 12314, 17685, 13, 578, 35113, 3727, 279, 1099, 29400, 12, 1787, 320, 1820, 20858, 8, 1427, 1093, 264, 11071, 315, 5684, 555, 12593, 13, 2684, 527, 7621, 19300, 389, 264, 47025, 753, 35113, 11, 719, 814, 3207, 539, 3544, 13, 763, 5369, 311, 279, 33638, 8333, 315, 420, 17685, 11, 279, 18067, 10194, 27030, 315, 264, 47025, 753, 2010, 1304, 369, 264, 34553, 5536, 7479, 11, 323, 649, 84040, 279, 4907, 315, 264, 17889, 13471, 320, 59178, 1093, 264, 1841, 75039, 570, 358, 1440, 315, 520, 3325, 1403, 11, 1633, 15062, 8336, 889, 617, 70904, 1579, 41503, 34164, 1022, 315, 264, 47025, 753, 35113, 2085, 13419, 279, 10065, 627, 791, 5740, 1584, 374, 11, 1790, 2731, 6689, 2671, 3073, 627, 5451, 11, 279, 8776, 1054, 18207, 13631, 2234, 863, 6689, 11, 994, 10489, 16070, 11, 374, 25114, 323, 4062, 2085, 16781, 13339, 5674, 13, 1442, 5606, 5602, 279, 2835, 315, 17816, 753, 47025, 11, 499, 5602, 279, 10065, 6068, 389, 279, 7858, 520, 1077, 6689, 13, 3011, 17889, 4018, 279, 85648, 520, 279, 1948, 315, 279, 47025, 753, 4851, 11, 323, 1101, 57520, 709, 279, 10548, 315, 279, 45274, 13, 45965, 4814, 574, 7347, 311, 922, 2380, 477, 3116, 15271, 389, 279, 1022, 25034, 17308, 627, 13461, 994, 279, 4851, 13631, 2234, 6689, 3250, 1431, 1304, 459, 9888, 5622, 11, 433, 56452, 7612, 16781, 28848, 13, 21428, 311, 279, 73151, 454, 360, 55892, 1887, 5157, 4648, 5128, 1790, 2085, 4788, 11, 938, 68441, 279, 2547, 315, 24463, 660, 6680, 323, 6118, 21973, 279, 45274, 449, 6680, 13, 9601, 6067, 9495, 1523, 6288, 1306, 430, 627, 3947, 527, 1403, 1401, 8125, 3249, 420, 6689, 374, 779, 3629, 7524, 323, 7701, 11349, 13, 5629, 1022, 11, 279, 4851, 13631, 2234, 3158, 6209, 264, 3544, 5622, 10353, 320, 9274, 220, 23, 3502, 8696, 389, 459, 5578, 30387, 47025, 705, 323, 420, 374, 279, 961, 315, 279, 10065, 430, 6209, 279, 1455, 53735, 2218, 13, 91034, 323, 2010, 3351, 15320, 11, 719, 279, 15489, 3158, 28335, 311, 387, 14470, 4998, 3454, 11, 477, 311, 1304, 3544, 24981, 19567, 779, 430, 433, 753, 8831, 311, 4295, 627, 791, 2132, 2944, 374, 4382, 11537, 2065, 13, 35403, 1475, 40827, 706, 1027, 42100, 10820, 15846, 449, 279, 2217, 323, 4623, 315, 279, 4851, 13631, 2234, 3158, 13, 578, 2217, 374, 991, 2067, 5639, 291, 8800, 1057, 20663, 555, 14756, 9908, 11, 40827, 6873, 7384, 11, 6946, 11, 323, 1524, 49073, 529, 21633, 13, 1226, 1440, 1405, 420, 7858, 374, 11, 323, 430, 6677, 6276, 603, 1935, 9395, 323, 1304, 264, 6689, 2085, 279, 2132, 2427, 34401, 287, 323, 40017, 430, 649, 5353, 1690, 49073, 311, 1304, 264, 3958, 5597, 13, 1666, 358, 3371, 8403, 323, 26627, 49073, 11, 1054, 10156, 2231, 433, 4920, 813, 17308, 11, 323, 3041, 1461, 15123, 49216, 2170, 3117, 439, 279, 1099, 29400, 12235, 11, 422, 499, 3207, 1701, 264, 1695, 17889, 323, 14343, 61868, 11, 499, 4805, 5622, 279, 10065, 13, 578, 4788, 2643, 387, 449, 264, 9615, 3544, 11, 2362, 712, 277, 13, 3161, 264, 47025, 1093, 420, 11, 279, 28782, 374, 311, 1781, 1093, 459, 5438, 261, 13, 1472, 1390, 311, 3412, 701, 6689, 3156, 279, 10065, 6209, 264, 8502, 287, 90724, 9392, 11, 323, 1243, 499, 649, 2035, 701, 17889, 4920, 279, 1566, 20735, 11, 6590, 2785, 4741, 1139, 279, 13458, 1147, 627, 3947, 374, 2500, 3072, 430, 358, 2216, 1093, 1981, 279, 13272, 6689, 627, 2028, 832, 374, 1101, 264, 2766, 20733, 11, 719, 358, 1781, 279, 3575, 374, 810, 264, 1162, 315, 264, 6996, 315, 8830, 315, 279, 10065, 753, 78152, 1109, 4205, 775, 11, 3235, 449, 1063, 8060, 311, 3619, 430, 499, 617, 311, 1304, 459, 33142, 5597, 994, 499, 5268, 701, 6689, 13, 578, 13272, 6689, 374, 264, 2294, 5873, 1234, 279, 1314, 13463, 11, 719, 539, 779, 2294, 994, 2574, 7784, 1431, 10728, 13, 3011, 753, 994, 499, 3060, 5268, 539, 311, 6230, 11, 477, 4498, 1203, 389, 279, 4851, 13631, 2234, 3158, 627, 1966, 264, 47025, 11, 279, 5622, 10353, 369, 264, 13272, 6689, 374, 4661, 439, 2466, 439, 279, 4851, 13631, 2234, 3158, 13, 10435, 264, 1579, 41503, 17889, 304, 430, 10353, 11, 922, 42436, 1990, 279, 2385, 315, 279, 2487, 323, 279, 1486, 315, 279, 17308, 11, 323, 433, 690, 5622, 279, 10065, 1405, 433, 13656, 13, 1472, 4805, 3285, 279, 50112, 23125, 11, 13750, 51126, 1523, 279, 10065, 753, 8792, 23418, 1887, 13, 55371, 2547, 5865, 690, 3009, 4661, 22571, 627, 2675, 690, 539, 617, 311, 3839, 264, 13272, 64630, 47025, 13, 1442, 433, 8640, 1022, 11, 433, 753, 1606, 499, 13942, 13, 2684, 374, 264, 3544, 4850, 315, 1493, 389, 279, 6689, 13, 25619, 1579, 11, 323, 499, 4805, 3285, 279, 8271, 19646, 477, 4295, 279, 8271, 13, 35321, 1109, 430, 3135, 304, 264, 3194, 13, 25619, 3428, 323, 499, 4805, 3285, 279, 10160, 14086, 11, 1841, 354, 307, 65415, 11, 477, 23200, 1299, 54344, 13, 28636, 1109, 430, 374, 264, 9099, 26000, 27653, 477, 264, 4335, 3194, 627, 7979, 266, 4814, 449, 264, 13272, 6689, 374, 8965, 17832, 13, 1472, 690, 4762, 9229, 1063, 315, 279, 13272, 938, 12019, 11, 719, 430, 753, 264, 2678, 3430, 311, 2343, 304, 9473, 369, 264, 4062, 11, 4335, 5622, 627, 28892, 25, 578, 13272, 6689, 7612, 264, 6300, 9392, 323, 264, 24981, 2800, 11, 4869, 13, 1102, 753, 2103, 3345, 311, 279, 2010, 11, 779, 422, 499, 3207, 539, 15528, 3403, 499, 5326, 20129, 279, 16942, 477, 19689, 13, 578, 6425, 374, 4382, 13, 4418, 1431, 1935, 279, 6689, 627, 3112, 430, 753, 279, 5740, 1584, 904, 892, 13, 1442, 499, 3207, 539, 10882, 430, 499, 649, 2231, 279, 6689, 1314, 1405, 499, 1390, 433, 11, 1243, 1541, 1431, 6230, 13, 1102, 753, 264, 26434, 430, 904, 40827, 1288, 7491, 11, 719, 3117, 2288, 2478, 617, 46376, 311, 656, 779, 13, 1666, 264, 1121, 11, 499, 1518, 3958, 15300, 4529, 304, 90539, 477, 704, 315, 74424, 13, 25681, 358, 11112, 12491, 311, 6865, 505, 904, 40827, 374, 11, 1054, 2181, 574, 279, 1193, 6689, 358, 1047, 11, 779, 358, 1047, 311, 1935, 433, 18319, 198, 32, 10775, 40827, 2646, 706, 311, 1935, 264, 6689, 1981, 2646, 0, 578, 4382, 2144, 374, 430, 7000, 315, 603, 374, 2133, 311, 6917, 588, 422, 584, 1095, 279, 10065, 636, 3201, 627, 1687, 1253, 387, 25406, 11, 477, 584, 1253, 387, 4960, 2379, 291, 555, 1057, 23330, 61450, 11, 28292, 11, 477, 1023, 37643, 11, 719, 584, 527, 539, 2133, 311, 733, 30056, 13, 23371, 11, 584, 1253, 617, 7543, 264, 2763, 315, 3300, 369, 264, 19614, 11, 1193, 311, 387, 17011, 449, 264, 656, 27609, 1773, 648, 6689, 6776, 13, 1102, 1436, 387, 279, 38782, 315, 264, 19569, 13, 2030, 433, 374, 4276, 264, 5030, 315, 2324, 323, 4648, 311, 603, 13, 1102, 374, 11, 389, 279, 1023, 1450, 11, 264, 5030, 315, 2324, 323, 4648, 311, 279, 10065, 627, 1687, 527, 539, 704, 1070, 1606, 584, 617, 311, 387, 11, 584, 527, 704, 1070, 369, 10775, 11, 323, 433, 374, 1193, 31308, 323, 1314, 430, 584, 656, 279, 1888, 584, 649, 311, 1304, 279, 4648, 315, 904, 1847, 10065, 439, 4335, 323, 82126, 439, 3284, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 2181, 574, 7376, 3432, 430, 279, 38544, 37384, 42392, 16591, 9849, 706, 1766, 430, 279, 5942, 323, 34545, 315, 1511, 11499, 10633, 304, 4987, 8494, 374, 1054, 14617, 311, 6493, 12190, 7100, 7720, 311, 279, 4987, 13673, 4029, 9520, 449, 264, 54453, 31528, 5942, 12764, 25605, 304, 279, 3389, 220, 2366, 15, 82, 627, 791, 9849, 574, 743, 709, 555, 279, 4987, 13673, 10423, 304, 5587, 220, 679, 20, 311, 19874, 279, 4754, 369, 4987, 8494, 311, 16136, 304, 4726, 27501, 323, 33289, 315, 54944, 11, 70272, 315, 54944, 11, 11499, 2410, 9659, 323, 279, 5942, 323, 34545, 315, 59862, 323, 11499, 12571, 627, 70850, 11909, 617, 1457, 22066, 704, 922, 279, 14955, 315, 279, 12396, 627, 80268, 65687, 11, 21185, 36891, 17054, 315, 10170, 11, 12053, 323, 13581, 520, 64640, 3907, 323, 4846, 4900, 315, 279, 13673, 45435, 5114, 574, 264, 4562, 315, 279, 16591, 9849, 753, 33257, 45013, 10554, 627, 14305, 16996, 9455, 315, 279, 16591, 9849, 374, 430, 4029, 14771, 1053, 387, 7718, 311, 279, 6992, 4500, 315, 904, 11499, 10633, 11008, 7640, 2476, 383, 2795, 13, 1054, 2181, 2795, 3451, 6720, 9860, 5054, 5597, 28846, 11, 449, 52008, 1862, 520, 2225, 1614, 323, 6918, 3109, 5990, 11, 1053, 387, 264, 80884, 24535, 1102, 374, 5107, 311, 1518, 1268, 52008, 1862, 520, 2225, 5990, 1053, 387, 17427, 369, 4987, 8494, 1694, 810, 17693, 6532, 304, 279, 11499, 5064, 627, 17818, 8554, 430, 54944, 11935, 5131, 44072, 12309, 2697, 311, 4987, 8494, 13, 18185, 72523, 1729, 85778, 1694, 832, 315, 279, 7928, 54944, 24190, 304, 279, 1917, 11, 1202, 85974, 527, 922, 400, 19, 264, 1060, 369, 1855, 4987, 13673, 13, 578, 9849, 16008, 2697, 22199, 315, 2254, 8863, 315, 54944, 323, 12722, 81299, 430, 11499, 2410, 374, 539, 47379, 43303, 13, 578, 4593, 275, 71224, 1934, 304, 220, 1049, 22, 1766, 430, 5199, 586, 43121, 1053, 387, 4460, 311, 1304, 11499, 2410, 7100, 304, 8494, 49216, 14305, 1455, 6129, 14050, 304, 279, 9849, 753, 76220, 14955, 374, 430, 16998, 1288, 2980, 6376, 709, 8221, 439, 264, 9284, 369, 59862, 12571, 505, 5961, 1093, 6457, 11, 29389, 323, 4987, 12126, 2476, 568, 2795, 13, 1054, 791, 9849, 13919, 430, 420, 1436, 387, 264, 34235, 5784, 11, 719, 430, 16801, 374, 3196, 389, 28771, 32946, 922, 279, 39375, 315, 1884, 5961, 311, 2343, 369, 279, 17065, 315, 872, 12571, 49216, 2118, 77921, 6492, 555, 578, 8494, 10181, 4860, 1884, 32946, 323, 45537, 279, 5784, 1053, 4762, 539, 387, 34235, 13, 578, 9849, 1101, 8554, 3451, 19041, 527, 912, 10565, 4211, 369, 279, 8518, 8481, 315, 1511, 10633, 369, 34545, 13, 5884, 14050, 311, 3637, 323, 28490, 315, 1511, 10633, 304, 4987, 8494, 1053, 1397, 20038, 1990, 6130, 5961, 323, 2225, 279, 6918, 323, 1614, 17047, 24535, 3011, 374, 264, 2466, 81783, 11, 439, 374, 279, 68023, 430, 3451, 3852, 4500, 1053, 1397, 27877, 9293, 323, 14771, 6108, 5597, 28846, 11, 61708, 279, 4040, 12034, 323, 11704, 315, 15481, 11, 8870, 323, 56510, 10977, 89874, 70214, 279, 1934, 6835, 264, 2579, 3177, 369, 11499, 2410, 11, 264, 76220, 68705, 3177, 369, 24050, 54944, 11935, 11, 264, 2579, 3177, 369, 4726, 8863, 315, 54944, 369, 7637, 11, 1243, 264, 1633, 76220, 323, 17345, 15337, 68705, 3177, 369, 279, 16998, 3314, 3109, 753, 7434, 315, 6376, 709, 439, 279, 9284, 369, 11226, 13936, 753, 59862, 12571, 49216, 96640, 17054, 66916, 49195, 15362, 8483, 37946, 304, 279, 6011, 315, 28415, 323, 95803, 520, 31523, 258, 3907, 2795, 279, 1934, 10675, 1054, 626, 11465, 398, 1695, 9650, 3432, 505, 279, 16998, 16591, 9849, 1139, 279, 38544, 37384, 42392, 49216, 14305, 1925, 17102, 374, 430, 5199, 7100, 10708, 3073, 369, 279, 5942, 323, 34545, 315, 7543, 11499, 10633, 11, 38241, 11, 59862, 12571, 13, 1789, 1667, 8494, 706, 1027, 520, 279, 52301, 315, 11499, 5942, 5557, 1555, 433, 753, 1917, 94109, 18838, 24028, 28787, 2068, 520, 279, 13673, 38544, 10170, 612, 12053, 47843, 11, 2147, 790, 46, 49216, 48349, 29139, 6209, 264, 32654, 7080, 349, 32027, 11537, 449, 279, 18651, 315, 279, 3465, 11, 28040, 3217, 304, 11935, 323, 1063, 315, 279, 1455, 14791, 86278, 4787, 304, 279, 1917, 13, 32255, 11, 814, 1304, 264, 8147, 10824, 902, 6209, 9257, 21845, 311, 279, 1176, 1614, 477, 18455, 10032, 311, 3820, 709, 279, 8815, 13, 735, 46179, 311, 279, 23454, 484, 3109, 369, 13176, 1523, 279, 8850, 1474, 647, 388, 323, 3411, 311, 279, 3938, 369, 4987, 8494, 49216, 96640, 17054, 4488, 24934, 8188, 69, 11, 33468, 17054, 304, 5783, 71200, 25027, 19241, 520, 279, 3907, 315, 1561, 4987, 23782, 1071, 1054, 791, 16591, 9849, 753, 1934, 56030, 430, 11499, 18200, 374, 539, 54453, 31528, 304, 4987, 8494, 13, 4452, 11, 433, 61120, 2294, 36232, 369, 279, 6373, 323, 34545, 315, 25355, 84561, 1579, 11852, 323, 29539, 2237, 11499, 82320, 304, 4987, 8494, 13, 1102, 11815, 264, 10824, 315, 3485, 79255, 41653, 5942, 315, 9235, 272, 4707, 3871, 449, 26326, 3451, 98524, 529, 5942, 49216, 14305, 57916, 369, 420, 47379, 41273, 13155, 374, 73342, 11, 1694, 3196, 389, 279, 33776, 315, 82320, 5762, 304, 13643, 5942, 555, 5961, 449, 11499, 2410, 17789, 13, 578, 1934, 374, 539, 42132, 555, 279, 2144, 430, 912, 3224, 11, 539, 1524, 279, 7427, 11, 706, 779, 3117, 26399, 304, 4857, 323, 10565, 459, 26326, 12571, 10488, 49216, 17818, 14865, 311, 2686, 279, 3585, 9408, 555, 279, 8494, 10181, 11, 34685, 11, 369, 3187, 11, 3249, 11499, 5961, 1053, 2343, 311, 7637, 872, 82320, 994, 433, 1253, 387, 23917, 311, 10299, 1124, 520, 2162, 13, 578, 7100, 6492, 1120, 7922, 420, 13155, 374, 264, 3254, 220, 679, 21, 4007, 11, 1455, 315, 6832, 32946, 527, 539, 11224, 304, 279, 9849, 753, 1934, 13, 578, 9849, 35434, 279, 10711, 7720, 315, 420, 13155, 11, 1418, 22109, 311, 25670, 279, 7100, 15635, 315, 8494, 18646, 1579, 11852, 82320, 369, 11758, 315, 9214, 315, 1667, 555, 3445, 315, 653, 782, 1055, 14645, 323, 3674, 14673, 49216, 48120, 11641, 72564, 11, 264, 17054, 532, 37946, 520, 279, 27535, 61593, 13581, 10181, 11, 3907, 315, 27535, 323, 459, 21185, 36891, 17054, 520, 279, 3907, 315, 468, 980, 647, 647, 11, 2795, 1054, 2028, 1934, 1288, 539, 3493, 1790, 5353, 369, 54508, 24059, 43766, 3697, 315, 8494, 753, 463, 5392, 9834, 19865, 13, 1666, 449, 279, 3766, 4593, 275, 29384, 1934, 264, 13515, 4227, 11, 420, 1934, 3727, 2867, 430, 11499, 4907, 9659, 323, 4726, 10633, 8863, 2737, 70272, 323, 7543, 10633, 312, 21315, 690, 387, 6316, 32107, 304, 8494, 2085, 3682, 4442, 304, 279, 13673, 323, 1917, 3157, 49216, 2118, 68489, 398, 11, 279, 1934, 93018, 389, 1579, 11852, 11499, 12571, 5942, 439, 279, 6776, 369, 4987, 8494, 13, 1115, 374, 10535, 2728, 279, 11026, 1317, 1920, 320, 1527, 439, 4216, 439, 220, 3753, 19, 8, 369, 279, 38298, 304, 4560, 311, 1505, 459, 22281, 3813, 311, 3637, 8494, 753, 6484, 3428, 12, 323, 29539, 11852, 11499, 12571, 13, 1115, 21961, 449, 279, 9849, 753, 79397, 430, 904, 9070, 315, 11499, 7640, 1288, 617, 2225, 52008, 5054, 1862, 323, 279, 14771, 315, 279, 4029, 49216, 2118, 50571, 3217, 11, 5423, 304, 8494, 11, 323, 1101, 304, 1690, 1023, 5596, 315, 279, 1917, 2737, 279, 7427, 11, 27053, 1317, 11509, 323, 24716, 10742, 922, 279, 7296, 315, 28672, 11499, 82320, 6724, 25181, 505, 279, 4676, 369, 279, 1690, 24552, 2631, 13, 16644, 420, 11, 433, 1053, 387, 6762, 311, 3752, 1082, 904, 3109, 902, 16495, 311, 1825, 279, 1648, 311, 12571, 5942, 323, 34545, 304, 8494, 439, 520, 1888, 3451, 66, 61140, 788, 529, 323, 8530, 2753, 81867, 11, 439, 3451, 1225, 31205, 46337, 6, 113068, 2118, 15571, 311, 617, 279, 17879, 323, 74315, 18361, 555, 279, 16591, 9849, 2476, 2795, 29335, 473, 461, 8288, 2826, 11, 264, 19903, 8483, 41570, 520, 279, 4435, 38544, 10229, 13, 1054, 791, 28782, 9002, 16998, 8405, 5942, 323, 12827, 369, 1579, 11852, 11499, 82320, 374, 15325, 323, 45207, 389, 904, 12624, 323, 7100, 8197, 49216, 14305, 14955, 9002, 11499, 2410, 527, 29392, 2536, 88389, 83223, 11, 3582, 279, 26457, 1900, 4284, 430, 264, 810, 6928, 6945, 1253, 34044, 422, 8494, 5334, 6129, 922, 37647, 6962, 41353, 14278, 11, 323, 36050, 279, 958, 7898, 1990, 16998, 323, 279, 24024, 5415, 13, 1102, 374, 1101, 2073, 3988, 8389, 922, 2678, 71573, 2728, 1884, 10565, 323, 1234, 8246, 520, 279, 4545, 304, 5734, 11, 8524, 323, 32164, 49216, 58834, 12227, 7678, 11, 4969, 34259, 29483, 11, 16478, 315, 49796, 8494, 21972, 14829, 38544, 17005, 19482, 11, 27766, 10783, 315, 14031, 49, 38544, 12053, 80092, 12604, 323, 17136, 72235, 520, 279, 13673, 5165, 3907, 2795, 11, 1054, 791, 4987, 8494, 38544, 37384, 42392, 16591, 9849, 1047, 264, 7029, 7036, 11, 279, 4459, 315, 279, 11499, 10633, 11008, 574, 25078, 2737, 11935, 11, 70272, 11, 2410, 9659, 11, 323, 12571, 13, 578, 16591, 9849, 4036, 220, 14052, 37935, 11, 12263, 11499, 13077, 25355, 323, 5762, 220, 19, 4038, 315, 586, 45348, 449, 220, 4386, 6335, 28823, 505, 8494, 323, 25355, 49216, 14305, 14955, 1501, 430, 4987, 8494, 649, 21676, 5376, 1202, 20852, 304, 11499, 7640, 323, 555, 3815, 779, 12207, 7417, 279, 7100, 23460, 315, 279, 4987, 13673, 4029, 13, 38544, 2410, 706, 37647, 6962, 20748, 13890, 311, 1023, 3428, 20748, 14645, 1093, 10160, 323, 13238, 323, 433, 1053, 387, 24219, 311, 3197, 1457, 311, 6106, 1202, 18539, 49216, 2118, 16179, 539, 54453, 31528, 520, 3118, 11, 4245, 14918, 311, 279, 17910, 315, 279, 1510, 5165, 74456, 3157, 320, 45, 2783, 705, 1070, 374, 907, 304, 3515, 11499, 439, 459, 3072, 430, 649, 387, 31368, 387, 11798, 13, 15344, 85948, 71573, 320, 9691, 43427, 8, 1053, 387, 19411, 369, 2678, 57449, 1093, 4987, 8494, 49216, 35816, 374, 264, 7701, 34235, 6776, 311, 5813, 264, 5942, 12764, 369, 3728, 1511, 10633, 34356, 449, 264, 5129, 4751, 34545, 12764, 13, 8494, 1053, 43530, 264, 43839, 1697, 323, 6020, 8935, 555, 46927, 1023, 5961, 304, 8405, 264, 6425, 369, 1511, 10633, 49216, 31272, 315, 21972, 33468, 8626, 13, 1050, 4458, 6668, 22530, 12, 8989, 24752, 329, 1071, 1054, 40, 656, 539, 7655, 449, 279, 5224, 430, 3451, 3947, 374, 6625, 24811, 430, 86278, 34545, 374, 279, 1888, 11156, 6425, 369, 279, 34545, 315, 1511, 10633, 529, 320, 2879, 220, 5728, 11, 2199, 220, 845, 315, 279, 1934, 570, 1442, 433, 374, 779, 11, 3249, 1306, 922, 220, 2031, 1667, 374, 1070, 2103, 19815, 11249, 922, 279, 68507, 323, 7296, 315, 86278, 34545, 49216, 2118, 39706, 323, 5942, 315, 279, 6625, 7543, 11499, 10633, 374, 2133, 311, 8356, 3682, 12434, 323, 4868, 11774, 13, 358, 656, 539, 4510, 430, 4987, 56937, 477, 56937, 439, 264, 4459, 649, 387, 22954, 311, 4287, 34537, 264, 961, 315, 8494, 1139, 264, 11499, 12571, 10488, 369, 1023, 17089, 49216, 2118, 11458, 439, 584, 617, 9539, 11224, 304, 1057, 21142, 311, 3451, 791, 38544, 37384, 42392, 16591, 9849, 20182, 279, 1193, 20406, 1648, 4741, 374, 21967, 315, 264, 11499, 3709, 10670, 367, 12764, 3196, 389, 4534, 878, 40, 2864, 435, 2279, 13953, 10807, 88484, 12121, 14644, 68057, 15264, 320, 11042, 50641, 570, 15483, 13077, 690, 22472, 7701, 21503, 323, 1317, 62954, 11499, 12571, 7384, 323, 11, 520, 279, 1890, 892, 11, 690, 8356, 11191, 3392, 315, 4907, 320, 64465, 488, 570, 89874, 48349, 30245, 50641, 690, 387, 264, 1207, 42641, 1887, 11, 1949, 315, 11499, 9200, 488, 33788, 1778, 439, 430, 304, 91759, 677, 4010, 13, 30245, 50641, 649, 387, 1511, 21676, 369, 3709, 10670, 367, 315, 5426, 323, 5255, 6625, 11499, 12571, 320, 2656, 10633, 705, 304, 459, 57340, 11919, 11827, 1418, 17843, 11191, 15055, 315, 12205, 369, 4987, 8494, 2029 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 37, 6674, 9440, 946, 38242, 4716, 47358, 435, 77454, 12124, 198, 42469, 315, 264, 22036, 819, 3827, 1814, 80024, 198, 2028, 4652, 9922, 304, 279, 220, 6280, 21, 57628, 304, 77050, 13, 1102, 574, 5439, 555, 90227, 36177, 11, 264, 21102, 323, 4642, 4562, 315, 279, 13581, 449, 8884, 358, 1511, 311, 733, 12224, 287, 304, 279, 4216, 220, 4468, 15, 753, 13, 90227, 12439, 682, 813, 2324, 304, 4366, 323, 574, 264, 37946, 315, 279, 16591, 45903, 5848, 27670, 648, 88, 13, 1283, 574, 1101, 264, 5542, 5696, 889, 23980, 279, 61120, 389, 279, 7295, 9483, 3071, 783, 1584, 11, 323, 358, 1664, 6227, 832, 315, 813, 12224, 11714, 538, 9459, 1405, 568, 3782, 304, 323, 1071, 1054, 2675, 4805, 2646, 8101, 279, 1396, 315, 20229, 389, 2722, 625, 33780, 3061, 1900, 3432, 13, 358, 1047, 311, 3009, 279, 5542, 323, 617, 264, 1427, 2029, 1283, 2744, 11953, 813, 9736, 68797, 82, 304, 279, 22239, 4999, 6153, 813, 4648, 304, 220, 4468, 19, 264, 10477, 520, 432, 10602, 445, 5676, 71, 17334, 574, 5918, 323, 7086, 1306, 1461, 13, 9742, 311, 420, 10477, 374, 520, 3118, 5107, 627, 32, 7181, 389, 10846, 18099, 198, 8538, 13016, 1253, 539, 387, 11537, 449, 279, 2362, 1742, 315, 3300, 45297, 1511, 387, 2000, 279, 7140, 4024, 12395, 304, 220, 4468, 16, 13, 763, 2362, 3300, 1070, 1051, 220, 508, 559, 484, 826, 311, 279, 31123, 11, 5439, 439, 220, 508, 24572, 11, 8617, 264, 559, 9585, 304, 2362, 3300, 374, 220, 20, 502, 281, 768, 13, 2684, 1051, 220, 717, 44049, 552, 311, 279, 559, 9585, 11, 779, 220, 20, 559, 484, 826, 323, 4848, 281, 768, 11, 5439, 439, 220, 20, 14, 21, 67, 320, 67, 369, 281, 768, 8, 1053, 3432, 1053, 387, 220, 1544, 323, 264, 4376, 502, 281, 768, 11, 422, 13118, 584, 1047, 4376, 281, 768, 3432, 13, 362, 3117, 1626, 574, 264, 8502, 315, 459, 2362, 50169, 323, 264, 4376, 79, 18314, 539, 29392, 574, 4376, 264, 50169, 627, 12487, 584, 617, 311, 1935, 1139, 2759, 279, 907, 315, 3300, 304, 2019, 220, 7028, 15, 5552, 311, 11791, 954, 907, 13, 1442, 584, 2980, 1148, 7083, 16, 304, 220, 7028, 15, 1436, 3780, 11, 3432, 433, 3312, 988, 311, 922, 7083, 1490, 13, 2030, 422, 584, 29243, 433, 311, 5578, 24608, 1243, 279, 7216, 374, 87920, 7083, 10617, 627, 37, 6674, 9440, 946, 38242, 4716, 47358, 435, 77454, 12124, 198, 42469, 315, 264, 22036, 819, 15545, 1814, 80024, 198, 1383, 356, 3587, 13, 27597, 53, 20982, 198, 58, 697, 53313, 505, 19524, 578, 4410, 5567, 263, 323, 16591, 77050, 75682, 2476, 3297, 220, 1187, 339, 11, 220, 6280, 21, 11, 555, 3169, 8041, 315, 279, 12865, 933, 40, 1288, 13085, 1070, 527, 2478, 11, 422, 904, 11, 2759, 6603, 2163, 4920, 555, 279, 6721, 12224, 5594, 20964, 315, 279, 1566, 9478, 477, 315, 279, 4216, 1667, 315, 279, 3118, 832, 13, 26778, 315, 1057, 22036, 819, 33889, 323, 25861, 84312, 872, 3451, 267, 2084, 529, 1389, 323, 7170, 810, 1109, 832, 1389, 994, 3827, 1814, 2465, 574, 264, 24716, 4612, 11, 994, 279, 6696, 574, 14343, 311, 7236, 1855, 67219, 3515, 813, 1866, 2440, 627, 2181, 574, 856, 1695, 33415, 264, 2697, 1418, 4227, 311, 824, 817, 323, 49586, 459, 2759, 2363, 8774, 555, 279, 2103, 40746, 800, 13, 13222, 616, 3827, 1814, 80024, 11, 4491, 11291, 18063, 31994, 11, 1457, 22311, 11, 34833, 264, 89686, 11, 323, 3451, 267, 2084, 529, 304, 813, 24804, 892, 13, 1283, 6137, 813, 83616, 304, 279, 220, 9378, 15, 753, 11, 323, 59477, 922, 220, 7529, 23, 627, 791, 3504, 315, 279, 2363, 374, 13160, 19524, 578, 46586, 287, 8785, 9520, 323, 4871, 279, 3504, 374, 5439, 1054, 626, 41673, 57628, 323, 47966, 9520, 369, 56669, 2288, 1051, 45413, 323, 22563, 13, 5112, 11263, 30335, 323, 264, 4376, 6959, 315, 33689, 24166, 12, 1787, 92809, 11, 1778, 439, 1057, 2291, 69, 19568, 304, 264, 810, 41308, 398, 4325, 3521, 15556, 304, 11, 6376, 704, 279, 14463, 1389, 477, 520, 3325, 1063, 315, 1124, 11, 369, 682, 1051, 539, 12715, 1389, 430, 1051, 1903, 304, 1063, 220, 914, 1667, 71628, 311, 279, 6725, 13, 3861, 1053, 617, 3463, 430, 279, 892, 323, 5149, 6532, 304, 83616, 1053, 617, 1027, 14343, 30449, 279, 1938, 34366, 11, 1095, 7636, 279, 30401, 304, 14975, 627, 65542, 3674, 35869, 315, 279, 1938, 527, 10675, 304, 279, 14975, 315, 1063, 220, 18695, 8545, 20229, 315, 220, 4331, 9606, 11, 220, 843, 36460, 20229, 315, 220, 717, 9606, 11, 323, 220, 5925, 56669, 315, 220, 717, 9606, 13, 5046, 8545, 20229, 11, 279, 23229, 74795, 14971, 279, 1160, 449, 220, 5495, 10925, 11, 8272, 555, 220, 1806, 7997, 12404, 375, 377, 388, 11, 220, 1958, 10690, 41896, 4835, 320, 52877, 705, 220, 966, 6342, 18668, 388, 11, 220, 1419, 393, 383, 300, 1821, 323, 220, 508, 70906, 654, 2902, 30378, 13, 220, 972, 480, 71523, 11, 220, 1114, 735, 478, 54883, 11, 220, 806, 4366, 63931, 323, 220, 24, 6385, 2439, 1833, 449, 1023, 9606, 11, 2737, 279, 921, 1409, 11, 304, 32415, 5219, 13, 5046, 36460, 20229, 279, 100056, 374, 43780, 11, 1418, 520, 3325, 4848, 4366, 90329, 1051, 45413, 13, 3296, 3117, 279, 4279, 478, 36041, 278, 574, 279, 328, 87740, 11, 220, 2131, 1694, 41853, 369, 13, 38166, 36824, 11777, 11, 4848, 71883, 1900, 11, 2380, 13585, 288, 323, 2380, 31676, 5153, 11, 323, 264, 2478, 10535, 10099, 3779, 311, 279, 357, 2084, 753, 57749, 323, 13519, 279, 23330, 7640, 315, 1057, 40317, 323, 279, 24716, 348, 28523, 315, 3827, 1814, 2465, 627, 791, 41896, 4835, 11, 2225, 23229, 323, 10690, 11, 499, 1436, 636, 45413, 323, 22563, 369, 505, 220, 18, 24572, 311, 220, 717, 14, 21, 11, 323, 8965, 12365, 304, 420, 12399, 315, 7729, 1070, 574, 264, 31954, 369, 7729, 311, 10205, 555, 279, 892, 279, 270, 404, 46487, 2199, 374, 8813, 42852, 16448, 10405, 13, 5843, 68, 1636, 41896, 4835, 11, 902, 1051, 1790, 23087, 3913, 11, 28830, 505, 220, 23, 14, 21, 311, 220, 806, 24572, 11, 1418, 459, 74795, 753, 27296, 1051, 743, 709, 369, 220, 23, 67, 627, 20147, 12404, 375, 377, 388, 41829, 505, 220, 17, 14, 21, 311, 220, 1032, 24572, 11, 264, 8681, 3165, 15889, 2853, 220, 18, 611, 1389, 323, 279, 1633, 9024, 468, 894, 63440, 220, 19, 611, 1389, 662, 6342, 18668, 388, 1051, 1633, 5526, 323, 41829, 505, 220, 17, 14, 21, 311, 220, 23, 14, 21, 11, 449, 832, 4441, 315, 4848, 20229, 11, 19524, 449, 7795, 2476, 220, 966, 14, 14863, 362, 393, 383, 15969, 574, 33705, 520, 220, 868, 24572, 11, 1202, 27296, 220, 16, 24572, 11, 323, 4366, 63931, 520, 220, 18, 24572, 311, 220, 21, 24572, 627, 2181, 574, 304, 279, 7138, 315, 420, 4913, 311, 2035, 279, 37170, 315, 279, 20229, 315, 37693, 11, 422, 6994, 481, 11, 304, 279, 1890, 1162, 439, 279, 68006, 13, 14636, 574, 6982, 279, 70906, 654, 56423, 449, 30665, 1136, 11, 5348, 23414, 11, 477, 7834, 2785, 220, 1032, 611, 1389, 1174, 477, 449, 993, 6172, 220, 975, 14, 14863, 11579, 57712, 2853, 505, 220, 18, 14, 21, 311, 220, 23, 14, 21, 13, 50487, 11, 279, 735, 478, 3833, 449, 426, 27421, 574, 505, 220, 605, 14, 21, 311, 220, 717, 24572, 11, 449, 7834, 2785, 505, 220, 972, 14, 21, 311, 220, 508, 24572, 11, 323, 279, 17104, 73578, 911, 483, 43961, 449, 11680, 76735, 477, 4563, 1031, 81, 731, 220, 975, 24572, 11, 449, 5348, 23414, 220, 508, 24572, 11, 323, 449, 4366, 37977, 220, 1758, 14, 14863, 2100, 11, 2288, 11, 279, 39051, 569, 449, 4366, 63931, 2853, 220, 1644, 14, 21, 311, 220, 1272, 611, 482, 627, 38, 71523, 41829, 505, 220, 19, 611, 1389, 311, 220, 717, 14, 21, 11, 449, 264, 31863, 520, 220, 17, 611, 1389, 662, 362, 81767, 38181, 731, 574, 6982, 520, 220, 605, 14, 21, 323, 11, 315, 3388, 11, 279, 9168, 5157, 902, 4491, 13, 31994, 1903, 5678, 1051, 5066, 13, 6385, 2439, 28830, 505, 220, 508, 24572, 311, 220, 966, 24572, 11, 323, 264, 426, 3328, 77, 574, 12715, 520, 220, 1313, 14, 21, 13, 7573, 5589, 8696, 11, 14134, 10791, 369, 36460, 20229, 304, 1884, 2919, 11, 2853, 505, 220, 16, 24572, 311, 220, 17, 611, 1389, 662, 9220, 44630, 5348, 67461, 2345, 279, 35663, 11, 439, 1664, 439, 279, 20229, 315, 12745, 477, 81389, 11341, 11, 1051, 6646, 38508, 2345, 52898, 33705, 520, 220, 17, 611, 1389, 323, 220, 17, 14, 21, 11, 323, 264, 44630, 7762, 67, 675, 6689, 520, 14221, 1637, 265, 589, 574, 12715, 13, 578, 70467, 19455, 2853, 505, 220, 21, 611, 1389, 311, 220, 23, 14, 21, 11, 279, 4563, 1031, 81, 731, 505, 220, 17, 14, 21, 998, 220, 19, 14, 21, 11, 1202, 36271, 11, 279, 10164, 3880, 607, 11, 220, 17, 611, 1389, 1174, 323, 264, 17723, 454, 4748, 220, 18, 14, 18, 13, 93668, 3516, 2469, 41829, 505, 220, 23, 14, 21, 311, 220, 717, 14, 21, 11, 3686, 264, 3221, 8844, 11, 279, 74968, 30742, 11, 574, 33705, 520, 220, 19, 611, 1389, 323, 220, 19, 14, 21, 13, 9220, 1023, 3221, 29658, 11, 279, 393, 1386, 258, 323, 279, 436, 61570, 15013, 362, 3178, 902, 574, 36574, 77289, 2391, 264, 13766, 11, 1051, 33705, 520, 220, 605, 24572, 323, 220, 22, 14, 14863, 7023, 45752, 1051, 35947, 994, 743, 709, 323, 2853, 505, 220, 18, 611, 1389, 311, 220, 22, 14, 21, 11, 323, 279, 3892, 921, 1409, 82, 430, 1051, 12715, 2345, 12555, 13, 31994, 4036, 4848, 304, 832, 1938, 0, 2345, 52898, 505, 220, 20, 611, 1389, 311, 220, 806, 14, 21, 13, 10164, 473, 729, 1051, 220, 17, 611, 1389, 323, 220, 18, 14, 21, 11, 264, 13182, 76064, 220, 20, 611, 1389, 1174, 1403, 1443, 789, 81, 2094, 220, 21, 611, 1389, 323, 220, 717, 24572, 11, 1403, 50155, 86, 826, 220, 18, 14, 21, 1855, 11, 323, 1403, 2893, 21632, 70086, 2345, 99020, 439, 36460, 20229, 323, 539, 22036, 819, 2345, 52898, 220, 16, 14, 21, 323, 220, 20, 24572, 627, 13461, 279, 4856, 51590, 467, 398, 97289, 269, 519, 574, 10235, 11, 323, 41829, 505, 220, 22, 14, 21, 311, 220, 508, 24572, 11, 323, 1202, 36271, 11, 279, 1443, 351, 11, 505, 220, 806, 14, 21, 311, 220, 975, 14, 14863, 362, 8681, 17355, 423, 1553, 2853, 220, 1313, 24572, 11, 264, 29623, 285, 6853, 73999, 11, 902, 1047, 53850, 704, 315, 279, 21319, 520, 350, 4361, 277, 3473, 875, 1405, 9024, 20229, 1051, 8774, 323, 574, 6689, 11, 574, 743, 709, 369, 220, 1135, 24572, 11, 323, 279, 48416, 6844, 22620, 11586, 3833, 369, 220, 20, 14, 21, 13, 47124, 369, 20229, 529, 19335, 11, 323, 832, 1043, 8449, 279, 68337, 315, 1063, 19335, 520, 3115, 11, 4686, 279, 62387, 54371, 22006, 315, 1521, 100130, 315, 459, 11639, 1457, 3347, 627, 27831, 682, 3697, 315, 279, 13581, 690, 387, 16089, 279, 348, 28523, 706, 8208, 832, 649, 387, 46304, 520, 279, 30401, 315, 1521, 2254, 5933, 1705, 3318, 3814, 1306, 3814, 1524, 311, 279, 4216, 4207, 315, 279, 6693, 311, 6381, 459, 19524, 2015, 2476, 323, 3629, 304, 279, 3177, 315, 459, 5707, 29062, 11, 323, 3582, 420, 15105, 315, 26984, 374, 539, 311, 387, 1081, 2954, 279, 22209, 287, 315, 279, 19524, 800, 2084, 753, 19524, 828, 706, 2728, 603, 810, 3649, 315, 1057, 2254, 100014, 1109, 527, 3629, 12715, 304, 17649, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 49670, 10790, 25, 49407, 279, 220, 17, 35, 14, 18, 35, 17896, 49670, 8410, 16, 17907, 11, 220, 1049, 21, 3296, 25, 8563, 7997, 198, 30033, 220, 17, 35, 323, 220, 18, 35, 7620, 311, 279, 7032, 814, 656, 1888, 627, 5966, 2305, 11, 358, 15243, 922, 1268, 311, 1440, 994, 499, 2351, 5644, 311, 3351, 311, 220, 18, 35, 48365, 13, 3861, 315, 279, 73443, 16296, 315, 7366, 311, 220, 18, 35, 48365, 374, 279, 7447, 49670, 5274, 4676, 1405, 5361, 48365, 6067, 11, 2225, 220, 18, 35, 323, 220, 17, 35, 11, 527, 304, 1005, 13, 763, 2144, 11, 856, 48365, 6783, 32313, 2391, 279, 1566, 4330, 1667, 1501, 430, 1521, 220, 17, 35, 14, 18, 35, 7447, 49670, 22484, 527, 1457, 279, 7617, 13, 1102, 5084, 279, 3488, 4536, 956, 3508, 499, 3358, 617, 311, 10299, 264, 7447, 49670, 5274, 11, 719, 1268, 1888, 311, 656, 779, 627, 644, 420, 3330, 11, 358, 3358, 3085, 264, 21655, 315, 39555, 11, 10631, 323, 3821, 9994, 3673, 369, 48365, 20258, 889, 1505, 5694, 304, 1205, 315, 264, 7447, 49670, 6373, 8446, 627, 36, 32107, 323, 94287, 8976, 1385, 198, 4516, 3249, 656, 584, 617, 7447, 49670, 19672, 304, 279, 1176, 2035, 30, 8595, 539, 1120, 733, 12756, 220, 18, 35, 323, 387, 2884, 449, 433, 30, 578, 12717, 2944, 358, 1518, 374, 430, 1455, 5220, 5042, 649, 956, 1935, 279, 892, 311, 3480, 5127, 311, 220, 18, 35, 520, 3131, 11, 323, 80430, 279, 2853, 315, 8292, 8640, 264, 3345, 2132, 13, 3296, 80430, 2539, 220, 18, 35, 8292, 11, 264, 2883, 13912, 1701, 279, 220, 17, 35, 7526, 433, 2736, 8964, 1418, 73194, 311, 220, 18, 35, 27115, 11, 8617, 18189, 7194, 719, 6968, 279, 7447, 49670, 5274, 304, 279, 1920, 627, 50344, 1648, 11, 433, 596, 7185, 311, 5296, 430, 19093, 7437, 704, 311, 617, 264, 7447, 49670, 5274, 44603, 1120, 8741, 4245, 311, 7100, 50446, 13, 21496, 287, 279, 7447, 49670, 8903, 3445, 499, 3358, 8493, 810, 892, 18646, 279, 15398, 323, 2753, 892, 11039, 433, 627, 2276, 4718, 44240, 323, 63403, 198, 99729, 48365, 7526, 374, 682, 922, 6574, 2626, 26470, 323, 3794, 279, 2683, 2884, 13, 15636, 11, 13021, 704, 279, 9256, 499, 1205, 311, 22829, 323, 13126, 902, 48365, 7526, 690, 1888, 1520, 499, 656, 779, 527, 279, 1176, 7504, 304, 35821, 279, 7447, 49670, 5274, 13, 29524, 2231, 11, 6373, 6944, 499, 311, 636, 279, 2683, 2884, 323, 2216, 3250, 956, 2512, 902, 5507, 13390, 21168, 902, 3465, 11, 779, 1317, 439, 433, 8741, 6288, 11, 61440, 323, 11626, 2915, 13, 4452, 11, 701, 3932, 690, 2512, 922, 279, 48365, 7526, 814, 1005, 323, 1268, 1884, 7526, 7958, 872, 1938, 4791, 11477, 6439, 627, 644, 856, 4059, 11, 44463, 3932, 6, 48365, 3966, 449, 264, 2883, 596, 2626, 3966, 374, 279, 14397, 13744, 961, 315, 14892, 449, 279, 7447, 49670, 5274, 13, 2057, 22829, 420, 44463, 1180, 11, 499, 2011, 24564, 701, 6484, 3966, 323, 11618, 505, 2225, 91250, 323, 1217, 39555, 13, 8442, 1306, 13021, 2574, 649, 499, 4048, 902, 5507, 374, 4495, 369, 1855, 7580, 323, 1268, 311, 10299, 279, 7526, 13750, 13, 5810, 527, 264, 2478, 4860, 430, 690, 3041, 499, 264, 3790, 389, 1148, 11618, 499, 2804, 7446, 323, 1148, 3241, 5507, 374, 1314, 369, 1855, 3465, 13, 578, 1401, 1008, 425, 1618, 374, 11, 330, 34176, 701, 3241, 11, 1541, 956, 1095, 701, 3241, 10299, 499, 25765, 3923, 11618, 1288, 499, 1005, 220, 17, 35, 369, 30, 1472, 1253, 2103, 1005, 220, 17, 35, 311, 3790, 14348, 9256, 1778, 439, 59000, 477, 38852, 38, 6108, 20632, 13, 1472, 1253, 1101, 1505, 433, 810, 20406, 311, 2567, 20160, 7224, 304, 220, 17, 35, 311, 5766, 279, 2853, 315, 220, 18, 35, 34579, 13, 578, 1401, 1618, 374, 311, 8417, 1405, 220, 17, 35, 1288, 2103, 387, 1511, 779, 499, 649, 37455, 701, 220, 18, 35, 5070, 304, 279, 7634, 814, 649, 2343, 499, 1203, 6288, 627, 3923, 11618, 1288, 499, 1005, 220, 18, 35, 369, 30, 220, 18, 35, 2955, 7526, 690, 1457, 9855, 264, 1579, 25171, 2955, 3560, 2949, 701, 2883, 11, 779, 387, 2771, 311, 1005, 701, 220, 18, 35, 5070, 304, 279, 7634, 814, 649, 3041, 499, 279, 1888, 3284, 2343, 1445, 13, 578, 15837, 1618, 374, 539, 1405, 649, 499, 1005, 220, 18, 35, 11, 719, 1405, 649, 499, 1888, 1005, 220, 18, 35, 30, 12040, 1139, 2759, 5137, 1778, 439, 1217, 4967, 892, 323, 3241, 323, 12035, 7194, 994, 3339, 701, 5597, 627, 9241, 1587, 220, 18, 35, 5387, 1022, 323, 220, 17, 35, 10536, 304, 30, 4740, 499, 3077, 6773, 1405, 220, 17, 35, 323, 220, 18, 35, 7526, 649, 387, 1511, 1455, 7706, 750, 11, 499, 2011, 22118, 279, 8712, 315, 31799, 1124, 3871, 13, 21069, 6261, 4860, 1778, 439, 25, 2650, 649, 358, 636, 220, 17, 35, 2612, 369, 856, 220, 18, 35, 1887, 30, 2650, 649, 856, 220, 18, 35, 6067, 4287, 220, 17, 35, 1988, 30, 3639, 690, 387, 279, 32115, 304, 13390, 11218, 1521, 9256, 30, 40730, 389, 1148, 499, 1505, 11, 499, 1253, 1390, 311, 11857, 701, 51866, 315, 1405, 220, 17, 35, 323, 220, 18, 35, 7526, 5052, 1888, 304, 701, 2883, 13, 1115, 3463, 1920, 374, 87975, 11, 323, 433, 21935, 311, 40175, 279, 2671, 14134, 627, 3923, 527, 701, 9434, 3834, 3585, 30, 3234, 499, 990, 304, 459, 4676, 1405, 499, 617, 311, 3493, 6500, 3626, 311, 9434, 29629, 30, 1442, 779, 11, 499, 2011, 3619, 1405, 701, 3585, 315, 3834, 690, 387, 323, 7124, 1148, 6500, 20447, 499, 690, 1205, 311, 1862, 1124, 13, 3277, 499, 3619, 1521, 3834, 3585, 11, 499, 1253, 1205, 311, 40175, 701, 5419, 220, 17, 35, 323, 220, 18, 35, 11618, 3686, 1578, 13, 4740, 682, 11, 433, 3727, 912, 5647, 311, 1005, 220, 17, 35, 14, 18, 35, 7526, 304, 264, 1648, 430, 305, 32551, 3318, 449, 8717, 4994, 701, 2883, 627, 3923, 922, 2536, 7813, 1846, 7526, 30, 3277, 220, 18, 35, 2955, 14519, 1935, 3412, 11, 433, 596, 31352, 430, 11084, 42148, 690, 1833, 13, 21844, 42148, 1253, 54350, 2574, 1778, 439, 27145, 11, 100044, 82, 11, 11722, 9146, 477, 1524, 23188, 2103, 5448, 13, 1102, 74145, 11263, 430, 48365, 20258, 690, 9855, 2585, 315, 1521, 4595, 315, 3241, 3956, 1606, 814, 990, 304, 32546, 449, 48365, 7526, 13, 3639, 690, 701, 1847, 3197, 387, 369, 18646, 1521, 5217, 3241, 7526, 5380, 6153, 499, 3077, 30239, 701, 11618, 11, 433, 596, 892, 311, 2231, 701, 6492, 1139, 1957, 11, 1314, 30, 13538, 499, 32571, 1139, 1957, 11, 1935, 264, 4545, 311, 1781, 922, 279, 8935, 315, 3917, 287, 6261, 311, 14734, 3477, 13, 1472, 1253, 539, 617, 1027, 3025, 311, 1781, 922, 4395, 477, 2567, 682, 279, 7482, 369, 2204, 3241, 15671, 7833, 13, 1115, 3460, 315, 37628, 3252, 10712, 649, 387, 264, 2466, 8903, 1817, 369, 48365, 20258, 889, 527, 1511, 311, 14392, 4395, 922, 872, 48365, 45218, 627, 22170, 439, 499, 2643, 11, 1070, 690, 2744, 387, 264, 2410, 1217, 889, 8964, 810, 922, 264, 3230, 8712, 1109, 499, 656, 13, 358, 15253, 499, 311, 27830, 701, 2410, 3932, 6, 6677, 439, 264, 2592, 315, 8333, 11, 539, 264, 23948, 13, 2100, 3249, 539, 10347, 68, 264, 2410, 8865, 7090, 311, 1520, 499, 3477, 701, 7447, 49670, 6492, 30, 20474, 430, 264, 48365, 6783, 596, 2683, 374, 311, 1304, 2574, 990, 11, 323, 14734, 3477, 505, 264, 7090, 315, 2410, 3932, 374, 279, 1888, 1648, 358, 1440, 311, 1304, 2771, 2574, 990, 627, 7927, 5357, 1288, 387, 311, 636, 2410, 3932, 505, 701, 2883, 1139, 264, 87516, 1912, 430, 31869, 1855, 1023, 596, 3966, 11, 3834, 3585, 11, 1052, 8670, 323, 9434, 20632, 3966, 13, 3296, 10917, 5127, 304, 279, 1890, 15688, 11, 499, 682, 3663, 279, 1890, 743, 315, 5435, 3871, 323, 527, 682, 27762, 311, 11886, 1884, 5435, 13, 1472, 3358, 1505, 430, 994, 1274, 527, 1903, 8647, 369, 279, 2860, 990, 2027, 315, 279, 2883, 11, 814, 1212, 311, 1518, 19476, 304, 264, 1790, 2204, 1648, 13, 4718, 2683, 439, 48365, 6783, 374, 311, 28696, 420, 2410, 8865, 7090, 555, 1812, 23747, 323, 31301, 439, 279, 77635, 311, 2883, 6373, 779, 430, 16470, 31869, 1148, 5127, 775, 25283, 627, 7676, 3639, 1472, 3077, 12595, 198, 2181, 596, 9200, 430, 499, 3350, 1523, 1148, 499, 4048, 439, 499, 21782, 701, 11618, 11, 3477, 701, 21782, 449, 701, 2410, 8865, 7090, 11, 323, 1304, 11429, 922, 220, 17, 35, 323, 220, 18, 35, 7526, 13, 763, 2144, 11, 358, 7079, 4477, 1523, 701, 14955, 439, 6574, 4520, 315, 279, 2410, 8865, 7090, 323, 50812, 1124, 13, 3296, 3815, 779, 11, 499, 3358, 636, 459, 5217, 2237, 315, 13598, 323, 1977, 5054, 26586, 369, 701, 6848, 439, 499, 4319, 6468, 1124, 311, 264, 22622, 10877, 627, 40, 1781, 499, 3358, 1505, 430, 701, 48365, 10886, 690, 387, 304, 1205, 315, 264, 18622, 11, 323, 439, 48365, 6783, 430, 12014, 690, 4498, 311, 499, 13, 358, 7079, 430, 499, 16343, 701, 6484, 48365, 10886, 449, 1063, 315, 279, 502, 2410, 8865, 14955, 311, 1893, 264, 7447, 49670, 10886, 2246, 13, 1666, 499, 656, 779, 11, 2980, 279, 2768, 6848, 627, 49833, 2402, 1288, 1862, 3966, 13, 4718, 502, 48365, 10886, 1288, 1862, 279, 502, 220, 17, 35, 323, 220, 18, 35, 11618, 323, 3241, 7526, 499, 3077, 14407, 449, 701, 2410, 8865, 7090, 13, 1102, 596, 539, 279, 892, 311, 1893, 502, 10886, 477, 84140, 26, 5042, 3350, 279, 17832, 10886, 2631, 311, 1862, 701, 3966, 627, 49833, 2402, 1288, 2686, 220, 17, 35, 323, 220, 18, 35, 7526, 13, 2893, 3230, 922, 902, 9256, 690, 1005, 1148, 3241, 7526, 323, 1304, 420, 961, 315, 701, 10886, 13, 1102, 596, 60791, 311, 10491, 1148, 3241, 5507, 374, 1888, 32599, 369, 902, 1920, 422, 499, 1541, 956, 5410, 553, 279, 16346, 369, 3815, 779, 627, 3353, 220, 18, 35, 1120, 439, 499, 1053, 220, 17, 35, 13, 4702, 1606, 499, 3077, 2751, 264, 7155, 502, 220, 18, 35, 3241, 5507, 3250, 956, 3152, 701, 3932, 1288, 387, 3025, 311, 1629, 11413, 939, 347, 927, 499, 323, 1646, 2574, 4869, 814, 1093, 13, 9842, 701, 220, 18, 35, 48365, 10886, 279, 1890, 1648, 499, 1053, 369, 220, 17, 35, 627, 8238, 433, 4382, 13, 10541, 264, 7447, 49670, 4676, 1253, 2873, 17395, 11, 701, 10886, 1288, 1304, 433, 2873, 4382, 13, 26572, 627, 19999, 6373, 304, 279, 6471, 13, 4718, 10195, 6373, 4762, 3250, 956, 1205, 311, 1373, 1475, 14646, 315, 701, 7447, 49670, 5410, 11, 719, 814, 1288, 1518, 459, 11145, 11852, 12399, 315, 1148, 499, 2351, 3815, 627, 644, 856, 3217, 11, 18646, 279, 7447, 49670, 5274, 374, 810, 922, 5398, 287, 3241, 7526, 311, 2626, 3966, 1109, 433, 374, 922, 3241, 6373, 13, 21834, 810, 922, 1148, 499, 2351, 3815, 323, 1148, 3241, 7526, 690, 1520, 11322, 701, 9021, 11, 323, 499, 3358, 9651, 5357, 389, 279, 1314, 5137, 315, 701, 2683, 13, 3296, 7422, 810, 922, 1920, 323, 31831, 701, 2410, 3932, 311, 30536, 3241, 5178, 11, 499, 3358, 17782, 520, 264, 2294, 30485, 1990, 2626, 6373, 323, 5557, 6373, 1418, 3794, 810, 2884, 13, 1628, 430, 11, 304, 264, 94013, 11, 374, 1148, 48365, 6373, 374, 682, 922, 627, 35632, 7997, 27772, 48365, 15840, 323, 31831, 6957, 279, 3723, 4273, 323, 7008, 13, 50942, 1461, 520, 2613, 36587, 916, 627, 644, 1077, 4228, 4791, 93685, 11, 11919, 1742, 11, 1317, 7394, 33160, 278, 599, 29820, 6576, 323, 91335, 27766, 55806, 380, 45638, 20661, 28292, 499, 1555, 264, 502, 4668, 477, 892, 59085, 14397, 304, 1475, 9417, 315, 1077, 5526, 9156, 49670, 2835, 10631, 13, 28369, 311, 279, 1949, 33160, 278, 599, 8519, 66290, 20846, 323, 584, 3358, 15820, 499, 1475, 892, 264, 502, 2835, 11813, 374, 4756, 13, 2052, 24121, 505, 33160, 278, 599, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 17119, 1245, 66727, 14937, 8350, 11, 54462, 6419, 18206, 12468, 727, 11, 4987, 6460, 9635, 17283, 198, 17119, 1245, 66727, 14937, 8350, 11, 18206, 198, 3648, 17283, 369, 54462, 6419, 304, 36664, 9635, 11, 6560, 1389, 2955, 555, 26340, 25518, 14075, 78113, 198, 1682, 3297, 220, 679, 24, 198, 17119, 1245, 66727, 304, 14937, 8350, 11, 18206, 198, 19249, 8525, 25, 26340, 25518, 14075, 78113, 198, 4812, 25, 14937, 8350, 11, 18206, 11, 4987, 6460, 9635, 11, 6560, 198, 79315, 25518, 14075, 78113, 529, 3451, 66, 589, 36620, 315, 50259, 529, 369, 13182, 1245, 66727, 16264, 304, 14937, 8350, 198, 17119, 1245, 66727, 374, 279, 6560, 753, 24519, 50295, 323, 690, 5276, 279, 6883, 753, 5788, 7677, 11, 30236, 455, 2785, 1202, 2612, 11, 439, 1664, 439, 6968, 264, 502, 20792, 33464, 304, 279, 18206, 5654, 11, 449, 33687, 31261, 11, 58172, 826, 11, 264, 8221, 11, 10960, 323, 3703, 627, 79315, 25518, 14075, 78113, 617, 20669, 279, 6485, 16003, 8670, 315, 279, 50295, 2949, 264, 52790, 42109, 902, 1101, 49193, 279, 66333, 13878, 315, 50259, 323, 71849, 5788, 12823, 323, 85060, 13, 578, 4857, 3727, 264, 14265, 5224, 922, 6617, 50259, 304, 13527, 11, 449, 264, 7937, 2915, 3451, 2407, 1245, 529, 3776, 95972, 1037, 902, 6835, 2697, 3201, 3156, 15613, 3094, 4871, 1405, 433, 1243, 16264, 709, 279, 6617, 50259, 1920, 311, 15613, 449, 459, 65280, 5603, 311, 279, 6883, 3217, 627, 17119, 1245, 374, 54462, 6419, 753, 10292, 11230, 13179, 13, 9086, 872, 47283, 11, 1521, 527, 21662, 1903, 555, 3243, 336, 8476, 11, 449, 264, 3243, 336, 8476, 27744, 13, 578, 220, 19, 11, 931, 18522, 10702, 1176, 6558, 10960, 323, 3703, 527, 264, 8013, 1935, 389, 279, 7434, 315, 279, 6063, 13179, 14321, 11, 16850, 1317, 12920, 11, 1579, 56814, 323, 264, 4382, 5130, 315, 11670, 8013, 26863, 6319, 311, 23606, 279, 13179, 5196, 11, 902, 374, 24547, 291, 6089, 505, 389, 29654, 26951, 13, 423, 40799, 649, 1427, 1555, 279, 10960, 11276, 1139, 279, 5395, 1336, 1559, 3770, 13, 362, 879, 18397, 3130, 743, 2949, 279, 10960, 690, 3552, 2363, 481, 7491, 12, 9031, 323, 3361, 47500, 35254, 627, 32, 6617, 13076, 37637, 1946, 1392, 279, 13076, 11618, 389, 1501, 449, 264, 27404, 315, 659, 58919, 9699, 369, 9839, 3497, 2277, 11, 3703, 9168, 5942, 323, 74135, 4504, 11, 20366, 54614, 11633, 6558, 11, 323, 4382, 4251, 34582, 21130, 13, 578, 3703, 4519, 264, 1181, 1171, 735, 3141, 3633, 45888, 4156, 323, 37123, 291, 9699, 3703, 1948, 13, 362, 3776, 55993, 55372, 22959, 11705, 279, 4832, 45166, 4676, 323, 15407, 279, 9434, 3776, 22996, 1206, 3071, 627, 32, 3703, 323, 8221, 520, 279, 4156, 315, 279, 50295, 3063, 311, 34615, 10395, 13863, 1405, 15613, 649, 4774, 264, 46746, 34632, 1603, 80249, 709, 389, 13179, 311, 1935, 2162, 13, 65925, 555, 279, 18206, 80944, 520, 423, 11856, 434, 11, 279, 13863, 690, 4668, 279, 7257, 7598, 323, 81817, 14293, 1511, 304, 13182, 1245, 34484, 627, 79315, 25518, 14075, 78113, 529, 4382, 25351, 6070, 15316, 264, 6485, 11156, 5052, 704, 11, 449, 264, 220, 605, 76, 865, 220, 21, 76, 1579, 93286, 27255, 29040, 279, 5395, 1336, 1559, 1920, 4737, 4871, 13, 56982, 13077, 2737, 1925, 20396, 11, 3703, 323, 8221, 527, 52258, 520, 832, 842, 11, 449, 279, 4857, 16448, 311, 264, 50098, 15485, 311, 2225, 3838, 279, 220, 1041, 10954, 10960, 11, 323, 3041, 1063, 9434, 43563, 9546, 311, 279, 1455, 21102, 9309, 315, 279, 2816, 627, 791, 4553, 15266, 1920, 505, 24875, 9889, 311, 13179, 7637, 374, 7559, 389, 279, 5015, 6558, 2949, 264, 2033, 2673, 3634, 11, 323, 459, 5419, 6932, 430, 706, 1027, 8040, 15499, 449, 54462, 6419, 369, 7340, 15374, 13, 362, 13057, 220, 868, 82673, 2543, 2048, 374, 7559, 311, 279, 14981, 315, 279, 4857, 311, 28696, 11297, 6530, 315, 4526, 323, 9889, 27861, 627, 76896, 832, 74454, 26951, 527, 14252, 660, 520, 13182, 1245, 66727, 11, 7438, 430, 279, 5043, 12, 7982, 21662, 17276, 649, 5376, 1202, 8824, 311, 3412, 709, 311, 220, 8258, 11, 931, 281, 21719, 315, 13179, 389, 2816, 520, 904, 832, 892, 11, 719, 1101, 17109, 304, 9333, 45892, 439, 2631, 369, 99316, 323, 12945, 13, 26778, 26951, 2737, 24875, 323, 41580, 5554, 437, 527, 7559, 389, 279, 4994, 315, 279, 4857, 11, 539, 1193, 10494, 279, 13179, 7155, 11, 323, 67817, 709, 5419, 3634, 369, 24872, 20792, 13077, 11, 719, 6968, 264, 3831, 9302, 9546, 369, 279, 50295, 902, 23874, 520, 279, 4851, 315, 14937, 8350, 323, 17738, 1202, 5043, 10223, 5643, 627, 791, 220, 21, 76, 2587, 5918, 2447, 23874, 389, 264, 220, 16, 13, 21, 46323, 2816, 1828, 6134, 311, 14937, 8350, 7327, 17040, 13, 3161, 279, 1862, 315, 4113, 4363, 8281, 549, 612, 358, 323, 14937, 8350, 85303, 9251, 11, 279, 2447, 374, 961, 315, 264, 8294, 7491, 10609, 369, 279, 22622, 60517, 315, 14937, 8350, 323, 1202, 1938, 4791, 45427, 8752, 627, 791, 2447, 374, 279, 4948, 430, 26340, 25518, 14075, 78113, 706, 8308, 369, 54462, 6419, 11, 2768, 1202, 2955, 315, 14016, 369, 682, 2380, 315, 279, 5856, 753, 21662, 7677, 2737, 279, 32926, 75333, 304, 350, 1992, 5294, 304, 220, 679, 22, 323, 279, 51683, 21785, 902, 9107, 520, 279, 842, 315, 220, 679, 23, 520, 24980, 11511, 304, 7295, 627, 79315, 25518, 14075, 315, 26340, 25518, 14075, 78113, 1071, 512, 1687, 527, 35072, 311, 617, 1027, 961, 315, 54462, 6419, 753, 3446, 304, 3293, 1667, 323, 311, 1518, 420, 5652, 12735, 315, 872, 3446, 34044, 304, 279, 4851, 315, 14937, 8350, 13, 13182, 1245, 66727, 706, 1027, 264, 14964, 2447, 311, 990, 389, 323, 584, 649, 1431, 3868, 311, 1518, 433, 304, 2539, 5784, 323, 2539, 315, 15613, 22128, 279, 42266, 11, 10578, 323, 36263, 315, 264, 3318, 18206, 50295, 627, 38, 57365, 19710, 11, 49407, 10783, 11, 34484, 323, 356, 1814, 11, 54462, 6419, 5856, 1071, 512, 17119, 1245, 66727, 374, 279, 5652, 66941, 3502, 10826, 1824, 4935, 369, 54462, 6419, 11, 2768, 279, 3293, 8736, 315, 1057, 51683, 21785, 520, 6342, 753, 11511, 13, 1115, 374, 264, 50295, 304, 279, 2294, 14135, 315, 279, 1648, 584, 5567, 82, 1511, 311, 656, 73802, 26, 459, 26154, 961, 315, 1202, 6376, 11, 264, 2254, 19683, 323, 264, 42199, 1486, 369, 279, 6424, 13, 26340, 25518, 14075, 78113, 3619, 1057, 6883, 323, 51566, 323, 617, 9087, 603, 1893, 2555, 25363, 1618, 627, 17119, 1245, 66727, 14937, 8350, 18206, 1389, 17283, 8245, 198, 3032, 25, 54462, 6419, 5856, 70452, 198, 8006, 10790, 25, 362, 66274, 198, 44, 69248, 11, 73800, 11, 16803, 82, 25, 91282, 5856, 198, 7469, 22677, 25, 14937, 8350, 85303, 9251, 198, 20989, 380, 3804, 20871, 269, 320, 90328, 1680, 452, 51185, 198, 14396, 269, 25, 77164, 320, 14396, 1105, 8, 12604, 198, 10714, 26340, 25518, 14075, 78113, 198, 79315, 25518, 14075, 78113, 374, 459, 10292, 11230, 18112, 323, 74564, 6725, 449, 19672, 304, 18206, 323, 7295, 323, 264, 3831, 17444, 369, 2955, 13, 578, 6725, 374, 3318, 304, 264, 7029, 2134, 315, 26593, 2737, 47609, 11, 25325, 11, 15926, 11, 6873, 323, 11983, 11, 323, 304, 3293, 1667, 706, 6575, 389, 264, 1396, 315, 3544, 5569, 60517, 31956, 4028, 18206, 2737, 18308, 1974, 520, 24079, 349, 11, 279, 87435, 9305, 43326, 10960, 520, 40555, 441, 11046, 11, 323, 40555, 441, 11046, 16192, 13, 35390, 7224, 2997, 279, 10292, 11230, 8773, 19853, 369, 10255, 15341, 23404, 521, 88, 11, 279, 1176, 502, 1977, 25586, 7830, 304, 279, 6560, 520, 14937, 8350, 369, 13707, 15560, 61893, 11, 264, 502, 12468, 727, 11, 51683, 21785, 323, 66727, 369, 54462, 6419, 11, 323, 264, 1396, 315, 3544, 1239, 268, 323, 11983, 31956, 304, 7295, 2737, 65698, 3258, 4987, 10913, 369, 549, 612, 358, 323, 279, 94505, 304, 36082, 3520, 753, 7295, 25599, 627, 10714, 54462, 6419, 198, 1163, 82200, 6419, 374, 13527, 753, 6522, 3243, 59775, 11, 44413, 1403, 94237, 315, 279, 6560, 753, 13378, 2612, 13, 1102, 374, 279, 4033, 13378, 315, 279, 26275, 323, 24562, 45332, 24583, 323, 374, 459, 4033, 8427, 311, 279, 16591, 39679, 4783, 11, 279, 4418, 5730, 52466, 323, 279, 7295, 63306, 54617, 627, 791, 54462, 6419, 3243, 727, 374, 3196, 304, 350, 1992, 5294, 11, 18206, 11, 323, 706, 220, 845, 27464, 1234, 30050, 389, 264, 220, 2614, 198, 29574, 12675, 2949, 459, 12299, 315, 76441, 18955, 31685, 13, 54462, 6419, 5856, 753, 16097, 2997, 13182, 1245, 44213, 11, 3339, 15193, 11003, 38066, 11, 1855, 449, 264, 3243, 59775, 753, 27744, 11, 323, 279, 51683, 21785, 3703, 323, 10960, 902, 9107, 304, 24980, 11511, 11, 7295, 520, 279, 842, 315, 220, 679, 23, 627, 2028, 1060, 54462, 6419, 690, 1893, 279, 7928, 3254, 30050, 17884, 304, 279, 6560, 520, 2577, 277, 3258, 11, 18206, 627, 10714, 13182, 1245, 44213, 198, 3915, 54462, 6419, 11, 9635, 753, 6522, 3243, 59775, 11, 13182, 1245, 44213, 1304, 15193, 11003, 38066, 11, 1855, 449, 264, 3243, 59775, 753, 27744, 1389, 13179, 369, 279, 42645, 287, 11, 13179, 369, 279, 22999, 13, 578, 13182, 1245, 66727, 2027, 2134, 374, 10212, 40343, 304, 31779, 10027, 11, 14144, 25888, 323, 23971, 1030, 11, 439, 1664, 439, 304, 1690, 315, 279, 6560, 753, 28807, 15926, 323, 16283, 13, 13182, 1245, 66727, 374, 279, 4033, 13179, 323, 66155, 19353, 311, 279, 4418, 5730, 52466, 323, 7295, 63306, 54617, 11, 1202, 3956, 527, 1101, 10434, 520, 578, 5165, 79682, 19853, 11, 16591, 17772, 11166, 323, 279, 4987, 17469, 14821, 627, 32872, 25, 38218, 480, 408, 1247, 41147, 198, 17119, 1245, 66727, 14937, 8350, 11, 18206, 11, 369, 54462, 6419, 5448, 611, 2038, 4036, 220, 13754, 21851, 198, 4383, 25, 578, 13182, 1245, 66727, 11, 8113, 220, 16, 11, 23225, 28567, 11, 14937, 8350, 32023, 1419, 220, 22, 90719, 11, 3723, 15422, 198, 7084, 25, 489, 2096, 220, 4513, 18, 220, 21458, 3101, 198, 791, 28275, 19033, 11, 578, 10951, 13207, 1389, 87926, 11004, 198, 19249, 8525, 25, 22770, 34131, 78113, 198, 1843, 27104, 315, 56035, 198, 791, 28275, 19033, 11, 14937, 8350, 1389, 220, 972, 4448, 220, 679, 24, 198, 11087, 266, 2009, 288, 26150, 6150, 198, 1843, 27104, 315, 56035, 198, 16352, 6150, 17283, 304, 14937, 8350, 198, 3648, 18206, 74248, 198, 825, 14084, 18206, 38943, 198, 19249, 8525, 82, 25, 13597, 2303, 265, 612, 2394, 77711, 198, 11817, 7388, 9538, 25611, 15512, 198, 6854, 466, 20176, 11896, 17283, 198, 34380, 41109, 2303, 818, 304, 87926, 198, 21103, 25, 12336, 30563, 47362, 11, 78113, 198, 1843, 505, 56035, 5274, 198, 34380, 41109, 2303, 818, 304, 87926, 198, 49, 26246, 3223, 26568, 11, 40555, 441, 11046, 198, 21103, 25, 26340, 25518, 14075, 78113, 198, 11817, 505, 26340, 25518, 14075, 78113, 198, 85856, 26568, 555, 26340, 25518, 14075, 78113, 198, 31916, 1820, 13011, 15248, 11050, 198, 21103, 25, 26340, 25518, 14075, 78113, 198, 1843, 555, 56035, 198, 31916, 1820, 13011, 15248, 198, 17828, 611, 7397, 369, 13182, 1245, 66727, 14937, 8350, 11, 18206, 11, 369, 54462, 6419, 1389, 48302, 6498, 8825, 2199, 10788 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 36, 5481, 4223, 916, 24062, 38122, 1838, 1354, 198, 25162, 38122, 70819, 469, 5481, 4223, 272, 1439, 1523, 311, 220, 1758, 59572, 198, 82578, 74768, 27208, 520, 4725, 20472, 198, 73236, 701, 41394, 323, 37248, 14028, 3280, 11, 7417, 701, 26206, 198, 36, 5481, 4223, 916, 24062, 38122, 70819, 469, 5481, 4223, 1838, 1354, 2187, 198, 81916, 311, 387, 2884, 520, 3428, 20472, 439, 3428, 439, 220, 1758, 59572, 2637, 24050, 701, 97744, 41394, 323, 97744, 37248, 14028, 198, 17217, 13, 469, 5481, 4223, 916, 24062, 38122, 70819, 469, 5481, 4223, 1838, 1354, 649, 1101, 387, 1511, 304, 9439, 5942, 5789, 1093, 3691, 8863, 5789, 11, 1405, 279, 9499, 4250, 387, 9408, 5190, 1109, 220, 1758, 11877, 435, 477, 779, 627, 12484, 64688, 97744, 11383, 7612, 220, 1135, 59572, 477, 810, 627, 36, 5481, 4223, 916, 24062, 38122, 70819, 469, 5481, 4223, 1838, 1354, 649, 1101, 387, 1511, 439, 264, 2307, 74768, 6376, 469, 5481, 4223, 22806, 277, 477, 469, 5481, 4223, 3623, 1113, 520, 4725, 20472, 627, 36, 5481, 4223, 916, 24062, 38122, 70819, 469, 5481, 4223, 1838, 1354, 1511, 520, 4725, 9499, 3041, 499, 4062, 2543, 2212, 892, 369, 2678, 7032, 11, 477, 8294, 7032, 430, 1397, 264, 2875, 2543, 46716, 892, 627, 13129, 950, 39923, 5046, 469, 5481, 4223, 916, 24062, 70819, 469, 5481, 4223, 198, 12, 362, 41205, 42419, 198, 12, 12000, 50298, 198, 12, 93143, 97505, 612, 72278, 198, 12, 8527, 72278, 198, 12, 37330, 2785, 50298, 198, 12, 15996, 48403, 198, 12, 356, 6073, 50298, 198, 12, 3341, 6113, 288, 198, 12, 36424, 29225, 56816, 198, 12, 36424, 34826, 56816, 198, 12, 36424, 15035, 12299, 198, 12, 9441, 97505, 198, 12, 77129, 97505, 198, 12, 46945, 66389, 198, 12, 12369, 50298, 198, 12, 48950, 53535, 56816, 198, 12, 6401, 10852, 66389, 198, 12, 7658, 44056, 66389, 198, 12, 9580, 287, 14509, 198, 12, 18421, 97986, 198, 12, 95078, 48403, 198, 12, 13257, 75644, 198, 12, 42177, 56816, 198, 12, 23820, 8242, 7760, 198, 12, 45965, 74435, 56816, 198, 12, 38544, 18317, 97505, 198, 12, 31512, 287, 14509, 198, 12, 41147, 29225, 56816, 198, 12, 7572, 50298, 198, 12, 51869, 50298, 198, 12, 87988, 74435, 56816, 198, 12, 8483, 66389, 198, 12, 9240, 48403, 198, 12, 44634, 36424, 2140, 73712, 198, 12, 79534, 50298, 198, 12, 50313, 261, 50298, 198, 12, 30064, 41991, 198, 12, 48471, 48403, 198, 12, 7073, 48403, 198, 12, 78103, 66389, 198, 12, 10164, 50298, 198, 12, 612, 1690, 3885, 198, 12, 12310, 38122, 70819, 198, 12, 12310, 25578, 269, 12220, 7473, 323, 70819, 12, 690, 539, 259, 1673, 198, 12, 7445, 7424, 561, 20638, 469, 5481, 4223, 520, 18944, 75783, 2859, 198, 12, 42041, 800, 467, 323, 36424, 40980, 198, 12, 85126, 8489, 311, 24882, 11, 423, 1141, 3804, 496, 988, 198, 12, 220, 1041, 4, 11730, 3447, 11, 18811, 93621, 482, 20628, 1524, 279, 7452, 478, 3428, 93621, 198, 12, 37866, 11742, 13957, 198, 12, 27191, 3686, 59780, 198, 12, 34154, 304, 25152, 198, 12, 2206, 1441, 61091, 10886, 198, 24627, 311, 5371, 469, 5481, 4223, 916, 12310, 38122, 70819, 469, 5481, 4223, 88125, 11, 12310, 198, 35658, 469, 5481, 4223, 3623, 28789, 477, 12310, 38122, 469, 5481, 4223, 22806, 1590, 2011, 387, 4335, 323, 5222, 13, 11016, 682, 26351, 11, 1208, 275, 685, 11, 63471, 97330, 198, 5807, 3171, 323, 1023, 7362, 5030, 555, 9462, 2067, 15067, 11, 477, 22936, 59681, 290, 627, 13319, 3090, 323, 16174, 505, 682, 27529, 449, 459, 5707, 1949, 21327, 7214, 4972, 198, 10031, 469, 5481, 4223, 916, 6, 28061, 198, 4808, 36235, 13002, 1376, 198, 41790, 315, 469, 5481, 4223, 916, 12310, 38122, 70819, 469, 5481, 4223, 88125, 11, 12310, 198, 35658, 469, 5481, 4223, 3623, 28789, 323, 25268, 12310, 38122, 469, 5481, 4223, 22806, 1590, 54614, 198, 438, 2653, 804, 2011, 387, 198, 1135, 11877, 435, 477, 3485, 520, 892, 315, 27890, 13, 65292, 1855, 3777, 26214, 1603, 198, 2067, 2518, 13, 19771, 1403, 5596, 555, 8286, 315, 3744, 362, 449, 832, 961, 555, 8286, 315, 3744, 426, 198, 2000, 2380, 4520, 449, 264, 3428, 4732, 9249, 31646, 9048, 19167, 449, 264, 27890, 198, 2746, 459, 469, 5481, 4223, 916, 12310, 38122, 70819, 469, 5481, 4223, 88125, 11, 12310, 198, 35658, 469, 5481, 4223, 3623, 28789, 323, 5255, 12310, 38122, 469, 5481, 4223, 22806, 1590, 54614, 198, 438, 5255, 2653, 804, 9499, 374, 1193, 220, 1135, 59572, 719, 2753, 1109, 220, 2075, 11877, 994, 433, 374, 9709, 6227, 433, 374, 2133, 311, 1935, 264, 2763, 5129, 311, 6642, 627, 1681, 709, 3115, 315, 469, 5481, 4223, 916, 12310, 38122, 70819, 469, 5481, 4223, 88125, 11, 12310, 198, 35658, 469, 5481, 4223, 3623, 28789, 323, 12310, 38122, 469, 5481, 4223, 22806, 1590, 690, 387, 5129, 1109, 279, 892, 10212, 389, 279, 828, 25112, 198, 39870, 433, 374, 9709, 520, 922, 220, 2075, 59572, 13, 12310, 9499, 64688, 4248, 5241, 552, 743, 709, 1790, 198, 69, 2352, 994, 279, 54057, 323, 3805, 9499, 374, 220, 1272, 12628, 477, 5190, 627, 4599, 3284, 311, 311, 4685, 3428, 9499, 64688, 97744, 520, 20472, 315, 198, 1272, 12628, 477, 810, 11, 7389, 264, 1317, 27208, 892, 374, 539, 264, 3575, 627, 47, 1098, 647, 291, 477, 11763, 14675, 1253, 5353, 8071, 323, 6930, 66510, 13, 1442, 3729, 198, 14310, 1759, 11, 11623, 7214, 323, 6056, 6593, 1520, 13, 5560, 7296, 29247, 449, 3185, 198, 939, 7052, 323, 10051, 29219, 23506, 36516, 627, 4050, 552, 449, 279, 3230, 3769, 13, 20556, 3230, 11156, 828, 11071, 477, 3729, 469, 5481, 4223, 916, 27766, 9365, 520, 220, 14423, 12, 11056, 12, 10750, 18, 369, 810, 2038, 627, 3648, 14509, 1288, 387, 520, 3325, 220, 1591, 2919, 2362, 13, 38122, 315, 54057, 198, 25849, 387, 3485, 220, 1135, 11877, 435, 13, 9503, 4276, 15792, 627, 2460, 7526, 323, 7241, 1288, 387, 28822, 1603, 279, 1887, 342, 2053, 13, 5560, 16691, 42, 345, 11916, 295, 606, 11, 477, 904, 44979, 16339, 69996, 627, 51, 10158, 15942, 60337, 5421, 46787, 520, 220, 2813, 11877, 435, 198, 91, 19771, 51848, 198, 8651, 220, 17, 25, 16, 3296, 20880, 198, 91, 14020, 9601, 320, 1049, 1099, 29275, 8651, 220, 868, 4520, 571, 220, 2075, 11877, 435, 627, 91, 350, 474, 3658, 311, 19898, 198, 8651, 220, 17, 12, 18, 4207, 571, 220, 2075, 11877, 435, 26, 220, 975, 12, 845, 4207, 571, 220, 1758, 11877, 435, 627, 8651, 220, 18, 12, 19, 4207, 571, 220, 2075, 11877, 435, 26, 220, 975, 12, 845, 4207, 571, 220, 1758, 11877, 435, 627, 91, 14235, 38081, 8651, 20, 12, 21, 4207, 571, 220, 2075, 11877, 435, 26, 220, 1187, 4207, 571, 220, 1758, 11877, 435, 13, 7511, 91, 13321, 70819, 198, 8651, 220, 20, 21882, 198, 91, 70888, 320, 3928, 1404, 340, 8651, 220, 18, 15730, 2637, 220, 868, 15730, 627, 91, 12028, 9718, 198, 8651, 5348, 11, 5929, 11, 612, 9718, 69548, 21883, 198, 1820, 6945, 315, 198, 3506, 3786, 3770, 369, 264, 8294, 2373, 315, 420, 6945, 315, 279, 1933, 9676, 627, 5618, 5296, 25, 578, 6945, 311, 279, 1314, 374, 264, 70164, 39656, 315, 198, 1820, 1933, 3786, 369, 420, 2027, 13, 578, 6685, 39656, 1920, 323, 701, 198, 33325, 323, 5255, 23185, 690, 2349, 1521, 8146, 13, 1115, 9676, 374, 311, 3041, 499, 459, 198, 42877, 315, 279, 8146, 2561, 323, 539, 10825, 369, 9200, 1933, 38499, 627, 36, 5481, 4223, 916, 24062, 38122, 70819, 469, 5481, 4223, 198, 36, 5481, 4223, 916, 5761, 674, 16, 24062, 38122, 70819, 469, 5481, 4223, 3623, 1113, 374, 220, 1041, 4, 82486, 323, 35426, 60394, 198, 1030, 28789, 369, 9439, 9499, 8522, 13, 74950, 311, 27208, 520, 20472, 439, 3428, 198, 300, 220, 1758, 59572, 13, 1102, 374, 706, 18811, 320, 15, 8, 93621, 82, 13, 8876, 433, 706, 912, 93621, 82, 11, 433, 706, 912, 69996, 779, 433, 198, 2727, 1441, 279, 7452, 478, 3284, 5410, 369, 264, 3428, 93621, 41394, 13, 1102, 374, 3629, 1511, 304, 198, 43296, 388, 323, 3691, 18459, 5789, 430, 1397, 6926, 3428, 20472, 627, 4921, 674, 16, 24062, 38122, 70819, 469, 5481, 4223, 3623, 1113, 374, 1101, 14134, 1511, 304, 3130, 198, 35658, 8522, 311, 3449, 2307, 74768, 27208, 11, 7347, 24700, 3966, 627, 36, 5481, 4223, 916, 5761, 674, 17, 24062, 70819, 36424, 1838, 11451, 469, 5481, 4223, 3623, 1113, 198, 64, 1403, 3777, 11, 220, 1041, 14062, 39298, 3447, 11, 18811, 330, 15, 1, 93621, 97744, 11742, 31785, 41394, 35426, 198, 630, 7913, 369, 9439, 9499, 8522, 13, 469, 5481, 4223, 916, 5761, 674, 17, 24062, 38122, 70819, 36424, 1838, 11451, 198, 36, 5481, 4223, 3623, 1113, 374, 3629, 1511, 304, 7155, 388, 323, 3691, 18459, 198, 33637, 430, 1397, 3428, 9499, 97744, 41394, 14028, 374, 2631, 627, 36, 5481, 4223, 916, 5761, 674, 17, 24062, 38122, 70819, 36424, 1838, 11451, 469, 5481, 4223, 3623, 1113, 198, 285, 1101, 1511, 369, 3130, 9499, 45218, 1405, 264, 2307, 74768, 1824, 554, 374, 198, 6413, 311, 30437, 2543, 2212, 892, 13, 1102, 374, 706, 18811, 320, 15, 8, 93621, 82, 627, 12834, 433, 706, 912, 93621, 82, 11, 433, 706, 912, 69996, 779, 433, 20628, 279, 7452, 478, 3284, 198, 20885, 369, 264, 3428, 93621, 41394, 627, 36, 5481, 4223, 916, 5761, 674, 605, 24062, 38122, 356, 1711, 6207, 198, 36, 5481, 4223, 916, 5761, 674, 1187, 24062, 49654, 28078, 22806, 277, 482, 24062, 38122, 70819, 198, 36, 5481, 4223, 916, 5761, 674, 1591, 469, 5481, 4223, 22806, 277, 482, 24062, 38122, 6207, 40715, 12292, 22806, 277, 220, 19, 25, 16, 51848, 264, 12842, 30349, 28296, 97744, 55114, 369, 469, 5481, 4223, 916, 22806, 277, 15264, 1115, 682, 7580, 97744, 54614, 374, 32971, 439, 459, 9250, 4689, 7580, 3769, 449, 1695, 32373, 323, 1933, 38231, 13, 1102, 374, 16168, 54097, 1752, 323, 649, 9093, 387, 1511, 304, 25366, 5789, 627, 36, 5481, 4223, 916, 5761, 674, 11057, 10164, 9785, 481, 469, 5481, 4223, 22806, 277, 21625, 198, 77518, 70819, 6207, 482, 5764, 469, 5481, 4223, 916, 5761, 674, 10697, 198, 77518, 70819, 3235, 449, 279, 24069, 13, 19771, 279, 2380, 6956, 3871, 369, 264, 5644, 311, 1005, 1887, 627, 36, 5481, 4223, 916, 5761, 674, 12405, 24062, 38122, 70819, 264, 10819, 2373, 315, 5761, 674, 12405, 11383, 1511, 304, 24062, 38122, 70819, 8522, 11, 477, 1405, 264, 1633, 5043, 743, 374, 4460, 198, 36, 5481, 4223, 916, 5761, 674, 22889, 24062, 70819, 469, 5481, 4223, 88125, 374, 264, 220, 1041, 4, 82486, 198, 10516, 17515, 11, 3428, 99530, 11, 3428, 9499, 97330, 88125, 323, 1369, 13412, 13, 1102, 1253, 387, 1511, 439, 264, 198, 3617, 3212, 369, 904, 469, 5481, 4223, 916, 15899, 11, 439, 264, 2559, 7636, 198, 325, 13412, 13, 1102, 1253, 1101, 387, 11093, 449, 469, 5481, 4223, 916, 5761, 198, 2, 2495, 311, 1376, 264, 12310, 12, 4559, 58560, 13, 469, 5481, 4223, 916, 5761, 674, 22889, 198, 77518, 70819, 469, 5481, 4223, 88125, 374, 220, 1041, 4, 82486, 449, 330, 15, 1, 320, 14486, 340, 53, 7767, 11, 902, 3445, 433, 706, 21907, 912, 2015, 323, 690, 3449, 198, 17206, 279, 7452, 478, 3428, 93621, 10886, 627, 36, 5481, 4223, 916, 5761, 674, 22889, 24062, 70819, 469, 5481, 4223, 88125, 198, 285, 35426, 60394, 369, 9439, 9499, 8522, 13, 469, 5481, 4223, 916, 5761, 674, 22889, 24062, 70819, 469, 5481, 4223, 88125, 374, 3025, 311, 27208, 1523, 311, 220, 1758, 59572, 13, 469, 5481, 4223, 916, 5761, 674, 22889, 24062, 70819, 469, 5481, 4223, 88125, 198, 285, 3629, 1511, 304, 7155, 388, 323, 3691, 18459, 5789, 430, 1205, 311, 387, 8774, 520, 264, 6926, 9499, 13, 469, 5481, 4223, 916, 5761, 674, 22889, 24062, 70819, 469, 5481, 4223, 88125, 374, 14134, 1511, 520, 3130, 9499, 198, 83553, 1405, 264, 2307, 74768, 97330, 1887, 374, 2631, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 62053, 11, 14689, 11, 29538, 11, 26036, 323, 1457, 21272, 13, 763, 279, 3347, 2380, 4038, 11, 4330, 5415, 617, 44977, 7016, 430, 35906, 9067, 2680, 311, 20710, 2001, 7170, 439, 4216, 439, 4848, 5672, 1139, 264, 20209, 13, 578, 21272, 2383, 430, 574, 8667, 555, 279, 19582, 1566, 2046, 48609, 20710, 304, 7154, 682, 5157, 11, 449, 912, 20157, 369, 17199, 477, 43980, 11, 323, 24266, 709, 311, 264, 220, 1484, 4771, 9527, 11914, 369, 16410, 889, 2804, 279, 10537, 13, 1115, 3293, 993, 349, 315, 20710, 17294, 15785, 279, 1455, 2167, 8815, 304, 3293, 5044, 311, 79552, 348, 13, 43982, 11, 279, 220, 4468, 18, 13814, 7301, 5597, 430, 9749, 264, 25543, 1314, 311, 20710, 3156, 279, 76688, 25501, 68507, 11, 6118, 2212, 220, 1187, 5672, 315, 20209, 627, 791, 4585, 369, 1521, 7016, 3287, 1431, 2586, 704, 315, 28211, 13, 2435, 3207, 961, 315, 459, 19738, 502, 8446, 304, 279, 5897, 4465, 927, 20710, 11, 902, 706, 81700, 2533, 9540, 26137, 41323, 1614, 15312, 2859, 304, 220, 679, 15, 13, 9393, 315, 1521, 9045, 11, 433, 753, 2736, 810, 5107, 311, 636, 459, 20710, 304, 1063, 5596, 315, 279, 3224, 1109, 433, 574, 264, 13515, 4227, 13, 4800, 11, 4856, 1109, 14691, 311, 16797, 3201, 520, 20710, 2680, 11, 1063, 7294, 96583, 28424, 1390, 311, 4546, 264, 1162, 311, 279, 13814, 7301, 430, 1436, 3063, 311, 279, 67687, 287, 315, 79552, 323, 2187, 5415, 311, 9120, 20710, 6724, 2001, 264, 5915, 430, 5084, 3284, 369, 279, 1176, 892, 304, 11026, 1606, 315, 264, 502, 4330, 12, 39868, 15692, 8857, 389, 279, 13814, 7301, 627, 35816, 4131, 264, 892, 994, 584, 1205, 311, 3009, 58499, 2212, 279, 13116, 315, 20710, 2476, 1071, 54765, 39037, 11, 459, 7294, 96583, 28941, 323, 4216, 463, 1166, 315, 1054, 73571, 863, 7016, 11, 1093, 16272, 753, 11, 430, 9120, 54373, 1306, 63746, 47345, 5820, 649, 387, 16914, 11, 902, 649, 387, 439, 4216, 439, 4848, 5672, 1139, 264, 20209, 13, 4314, 7016, 11, 1364, 1071, 11, 1051, 1054, 80894, 311, 387, 279, 18404, 304, 279, 4851, 315, 79552, 348, 13, 43982, 49216, 4071, 420, 293, 2061, 5603, 1253, 387, 264, 64901, 13, 3011, 753, 1606, 48609, 389, 54373, 304, 279, 1176, 75110, 261, 315, 264, 20209, 320, 455, 311, 220, 1032, 5672, 8, 7784, 1431, 304, 1584, 449, 1455, 9053, 529, 6325, 389, 20710, 13, 1628, 56501, 420, 502, 8446, 2643, 3604, 6435, 7294, 96583, 28424, 529, 24151, 422, 2225, 13063, 323, 12643, 1005, 279, 48609, 311, 51085, 389, 279, 13814, 7301, 439, 264, 4901, 4360, 304, 220, 2366, 15, 627, 10445, 20710, 19949, 6656, 311, 49636, 20710, 40228, 198, 12834, 220, 679, 16, 11, 1614, 48962, 617, 5946, 11758, 315, 17294, 389, 20710, 11, 4184, 311, 279, 52683, 14046, 11252, 10181, 11, 264, 3495, 7471, 430, 11815, 5897, 20710, 13, 4314, 1614, 11852, 9045, 617, 1027, 16781, 323, 17226, 11, 323, 1524, 3582, 279, 2860, 1396, 315, 7016, 5946, 706, 28830, 505, 1060, 311, 1060, 323, 8111, 311, 387, 43848, 8244, 11, 279, 35435, 875, 304, 1176, 10398, 4350, 261, 20710, 7016, 304, 220, 679, 24, 8450, 264, 39375, 4315, 520, 3325, 1063, 20710, 19949, 311, 9395, 6089, 520, 79552, 13, 578, 9676, 3770, 5039, 4848, 4595, 315, 20710, 17294, 430, 11754, 2680, 369, 6822, 3278, 323, 1268, 4279, 814, 1051, 304, 1855, 1060, 13, 16, 320, 2688, 682, 7016, 6982, 3770, 527, 304, 2515, 11, 4869, 26, 1063, 617, 1027, 3060, 28191, 477, 31859, 19857, 555, 279, 19359, 29275, 2688, 2915, 11, 1690, 315, 1521, 17294, 3287, 1431, 6089, 8815, 279, 25543, 1314, 311, 20710, 26, 4619, 11, 814, 421, 1468, 839, 3201, 520, 2680, 311, 5897, 20710, 555, 49941, 14640, 389, 44335, 323, 20710, 16410, 323, 7999, 8670, 1093, 23911, 8725, 13811, 3171, 11, 42316, 323, 8748, 18852, 13, 1628, 8051, 1521, 9045, 9167, 1431, 1027, 78909, 6992, 304, 279, 19359, 11, 20710, 19949, 9167, 1431, 5675, 20930, 13, 1666, 499, 649, 1518, 304, 279, 9676, 11, 1524, 1306, 264, 2466, 79913, 520, 279, 13814, 7301, 304, 220, 679, 21, 11, 994, 4330, 71712, 16626, 311, 67687, 264, 743, 315, 8670, 389, 44335, 430, 2804, 54373, 304, 8421, 11, 279, 17294, 389, 20710, 44335, 1903, 709, 264, 5199, 21801, 315, 17294, 304, 279, 1060, 1306, 279, 17864, 11, 8051, 814, 41853, 369, 264, 9333, 4430, 304, 220, 679, 23, 323, 220, 679, 24, 627, 11663, 7016, 17550, 4040, 13124, 315, 20710, 2001, 369, 3187, 11, 264, 4279, 955, 315, 2132, 10398, 4350, 261, 20710, 2001, 477, 21501, 433, 369, 3738, 10096, 11, 1093, 20710, 369, 1877, 477, 7102, 6727, 477, 1606, 315, 19465, 75559, 13, 4273, 527, 15480, 555, 279, 13814, 7301, 311, 37377, 20710, 1306, 279, 76688, 374, 31528, 11, 902, 6118, 13980, 1990, 220, 1187, 323, 220, 1591, 5672, 315, 20209, 13, 1628, 505, 220, 679, 16, 3156, 420, 1060, 11, 48609, 389, 20710, 430, 1051, 3345, 311, 420, 68507, 12447, 2001, 3629, 2212, 220, 508, 5672, 315, 20209, 2001, 1051, 810, 4279, 1109, 1176, 10398, 4350, 261, 48609, 11, 902, 617, 3970, 264, 37393, 304, 220, 679, 24, 13, 1666, 499, 649, 1518, 304, 279, 1948, 2163, 315, 279, 9676, 11, 48609, 389, 20710, 2391, 279, 1176, 2478, 4038, 315, 20209, 617, 3719, 15098, 21102, 927, 279, 3347, 1403, 1667, 627, 791, 1121, 374, 264, 17395, 11140, 1816, 315, 20710, 7016, 430, 617, 1903, 433, 810, 892, 70840, 323, 11646, 311, 636, 279, 10537, 304, 3738, 5596, 315, 279, 3224, 13, 763, 5369, 311, 42316, 11, 8748, 4261, 323, 63859, 8670, 2001, 682, 315, 902, 649, 5376, 279, 892, 323, 2853, 5938, 449, 279, 10537, 2001, 44335, 617, 1027, 43071, 15676, 927, 279, 3347, 2478, 1667, 1606, 315, 264, 10824, 315, 9547, 11, 2737, 279, 502, 1614, 7016, 13, 25378, 753, 20710, 12850, 617, 83222, 839, 505, 4848, 304, 220, 1049, 23, 311, 832, 3432, 13, 1628, 22700, 315, 20710, 44335, 4028, 279, 4987, 323, 52257, 1051, 49056, 291, 1606, 315, 1614, 17294, 627, 644, 1063, 5627, 11, 279, 2450, 315, 1521, 17294, 1253, 617, 743, 459, 31293, 430, 264, 2539, 20710, 9120, 1053, 387, 1828, 11, 1071, 21393, 28512, 11, 10195, 1614, 4819, 6783, 520, 52683, 14046, 11252, 13, 1054, 12805, 499, 1522, 4330, 11, 220, 605, 11, 220, 868, 20710, 17294, 11, 1070, 753, 539, 1790, 2163, 311, 656, 719, 9120, 20710, 40228, 2476, 1364, 1071, 627, 4071, 420, 810, 14560, 8446, 374, 20733, 1524, 2949, 279, 7294, 96583, 7351, 13, 43655, 50990, 96960, 11, 10195, 16467, 369, 9053, 3723, 369, 9601, 11, 459, 7471, 430, 374, 5131, 59416, 369, 220, 508, 30609, 20710, 48609, 323, 1023, 17294, 1093, 23911, 8725, 13811, 3171, 11, 1071, 430, 568, 15849, 279, 502, 12330, 315, 7016, 374, 17821, 311, 26032, 279, 13814, 7301, 13, 1054, 40, 1781, 279, 5590, 5042, 690, 539, 6865, 1124, 2476, 568, 1071, 627, 11772, 18007, 11, 279, 502, 7016, 4097, 264, 6541, 3201, 505, 264, 1984, 430, 706, 1027, 8792, 311, 1690, 315, 279, 7016, 430, 617, 5946, 2533, 220, 679, 16, 2001, 279, 4623, 430, 17294, 389, 20710, 649, 387, 1695, 369, 3278, 13, 763, 27743, 37635, 323, 5590, 5157, 11, 71796, 315, 20710, 17294, 617, 687, 2954, 430, 7016, 1093, 28913, 14640, 323, 23911, 8725, 13811, 3171, 527, 13579, 323, 1524, 24629, 1606, 814, 6106, 430, 3278, 2216, 1390, 459, 20710, 323, 527, 12588, 279, 1888, 6593, 2512, 11, 8051, 1690, 304, 279, 6593, 4029, 2019, 1521, 14640, 527, 26225, 323, 1524, 28856, 13, 10455, 1901, 36110, 1565, 11, 264, 14561, 520, 9784, 3314, 3907, 9304, 315, 7658, 323, 279, 3229, 315, 1054, 6153, 79552, 25, 578, 28351, 11346, 315, 279, 3765, 26973, 83888, 2476, 1071, 430, 433, 574, 1054, 30972, 10789, 863, 1268, 279, 21272, 323, 16272, 7016, 14090, 23838, 420, 5811, 11, 4619, 21760, 389, 279, 1205, 311, 6144, 63746, 2324, 13, 2030, 420, 3351, 374, 10213, 704, 315, 3094, 449, 586, 9647, 2001, 323, 433, 1101, 1253, 387, 264, 14841, 520, 279, 13814, 7301, 627, 13622, 9053, 1541, 1431, 1390, 311, 9120, 20710, 40228, 198, 11439, 311, 23925, 11, 1455, 9053, 1541, 1431, 2873, 1093, 814, 1390, 279, 13814, 7301, 311, 67687, 79552, 348, 13, 43982, 25, 1789, 3187, 11, 264, 80901, 7230, 505, 5887, 220, 679, 23, 1766, 430, 220, 1227, 3346, 315, 9053, 1390, 279, 17864, 311, 7293, 304, 2035, 13, 1628, 304, 459, 6287, 220, 679, 23, 19921, 5513, 22964, 32799, 3962, 7230, 2001, 279, 1566, 892, 814, 4691, 34281, 420, 3488, 2001, 1403, 45726, 315, 9053, 1071, 814, 3060, 4934, 279, 13814, 7301, 311, 1304, 433, 8831, 311, 636, 459, 20710, 320, 1691, 3346, 8, 477, 311, 5387, 279, 5845, 311, 636, 459, 20710, 279, 1890, 439, 433, 374, 1457, 320, 1774, 3346, 570, 67720, 3346, 4934, 279, 13814, 7301, 311, 1304, 433, 810, 5107, 311, 636, 459, 20710, 627, 51460, 22155, 389, 20710, 3010, 304, 20209, 2001, 1093, 220, 508, 30609, 20710, 48609, 2001, 617, 4036, 8857, 1862, 304, 1063, 23925, 11, 323, 4184, 311, 279, 220, 679, 23, 80901, 7230, 11, 220, 2397, 3346, 315, 9053, 1071, 20710, 1288, 387, 12079, 304, 279, 2132, 2380, 4038, 315, 20209, 13, 2030, 220, 1399, 3346, 315, 9053, 304, 430, 1890, 80901, 7230, 1071, 20710, 1288, 387, 5897, 304, 279, 1176, 2380, 4038, 315, 20209, 13, 578, 502, 21272, 2383, 753, 6996, 315, 20157, 369, 5157, 315, 17199, 477, 43980, 1253, 1304, 433, 8104, 66858, 11, 13126, 430, 80901, 1101, 1766, 430, 7154, 220, 1490, 3346, 315, 9053, 1781, 20710, 1288, 387, 5897, 304, 520, 3325, 1063, 13463, 627, 33987, 1494, 58131, 9469, 4896, 11, 10195, 16467, 369, 1442, 14, 4599, 14, 4438, 11, 264, 1912, 430, 11815, 323, 28424, 369, 20710, 2680, 11, 1071, 430, 3156, 1457, 11, 20710, 87656, 15879, 617, 1047, 264, 2653, 892, 29905, 4954, 11969, 1606, 20710, 706, 1027, 3970, 439, 264, 1054, 11851, 383, 863, 4360, 11, 8994, 279, 53840, 315, 17294, 520, 279, 1614, 2237, 13, 3011, 20710, 19949, 527, 1457, 6089, 23664, 279, 89846, 315, 1176, 10398, 4350, 261, 20710, 2001, 4856, 1109, 21760, 389, 17294, 389, 2680, 2001, 1436, 387, 264, 1054, 91019, 5352, 1650, 863, 369, 1274, 389, 279, 2163, 11, 1364, 1071, 627, 54644, 287, 1148, 279, 5054, 65252, 690, 1427, 1093, 374, 11292, 11, 3582, 13, 1102, 2643, 5042, 52875, 349, 15481, 323, 5054, 37601, 304, 279, 3224, 4856, 1109, 52588, 264, 2867, 12845, 311, 3060, 3185, 13, 2030, 3060, 1648, 11, 279, 4360, 5084, 4461, 311, 3719, 1524, 810, 77037, 1534, 323, 1436, 3719, 3062, 304, 279, 220, 2366, 15, 13621, 7102, 627, 32, 5054, 48156, 1253, 1304, 433, 16127, 369, 279, 13814, 7301, 311, 6013, 198, 8607, 5897, 11909, 4510, 14681, 12007, 3842, 31248, 323, 279, 13814, 7301, 753, 15692, 8857, 527, 17821, 311, 67687, 79552, 682, 520, 3131, 11, 5423, 1606, 279, 71712, 1436, 4619, 42902, 704, 279, 1314, 311, 20710, 27115, 555, 10923, 5415, 311, 33330, 810, 323, 810, 17294, 4020, 2454, 2753, 20733, 398, 439, 37424, 369, 3278, 753, 2890, 627, 2520, 71796, 315, 7016, 1093, 21272, 753, 11, 279, 8137, 374, 430, 279, 1614, 11852, 48609, 2643, 1304, 31248, 477, 279, 1023, 34375, 389, 279, 5590, 1524, 4208, 1291, 922, 4737, 904, 20710, 1162, 304, 279, 2875, 4751, 13, 3011, 753, 1606, 814, 2643, 387, 44040, 311, 6037, 389, 264, 4106, 12726, 8712, 430, 2643, 387, 459, 4360, 304, 279, 220, 2366, 15, 6355, 13, 2684, 527, 1023, 20710, 5157, 304, 279, 5590, 753, 15660, 11, 719, 779, 3117, 11, 279, 71712, 617, 9508, 44040, 311, 6865, 1124, 13, 1628, 422, 279, 5054, 18742, 269, 2212, 279, 502, 1614, 7016, 27533, 988, 2001, 477, 1524, 10800, 279, 13814, 7301, 1139, 264, 4901, 4360, 304, 220, 2366, 15, 2001, 264, 369, 352, 1139, 279, 20710, 11249, 1253, 2873, 1524, 2753, 33352, 369, 279, 15692, 71712, 13, 2684, 374, 6029, 430, 1524, 71712, 449, 19569, 37256, 6013, 311, 586, 9647, 11, 323, 31248, 374, 8104, 16614, 922, 51866, 430, 279, 5590, 374, 1120, 2500, 6916, 315, 264, 49638, 5054, 5780, 13, 1054, 2181, 753, 3284, 279, 5590, 28727, 814, 3207, 1120, 539, 2133, 311, 3568, 449, 420, 1314, 1457, 11, 1418, 433, 753, 779, 77037, 1534, 2476, 1901, 36110, 1565, 1071, 627, 1966, 279, 1023, 1450, 11, 20710, 19949, 1253, 539, 617, 1790, 311, 9229, 555, 4560, 264, 810, 22520, 5603, 13, 7570, 422, 279, 13814, 7301, 58054, 311, 927, 13233, 79552, 348, 13, 43982 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 644, 65249, 374, 264, 2144, 315, 7100, 2324, 13, 58795, 5042, 11, 7194, 315, 3956, 323, 3600, 39388, 6426, 1198, 323, 11383, 5376, 1198, 927, 892, 11, 7859, 279, 3300, 4460, 311, 7782, 1884, 3956, 323, 3600, 13, 3011, 3445, 430, 264, 18160, 3432, 374, 5922, 264, 2763, 2753, 1109, 264, 18160, 11, 2019, 11, 1403, 11026, 4227, 13, 320, 44623, 11, 832, 2326, 18160, 304, 220, 7529, 17, 706, 279, 23395, 2410, 315, 927, 400, 1419, 3432, 29275, 63230, 5092, 398, 11, 1070, 753, 264, 18791, 3002, 311, 420, 24524, 13, 18056, 25544, 374, 49188, 40652, 311, 279, 907, 315, 3300, 11, 25983, 23395, 2410, 649, 387, 5663, 22955, 555, 1268, 1790, 4528, 3956, 2853, 927, 264, 4261, 315, 892, 13, 1115, 374, 5423, 837, 994, 433, 4131, 311, 2835, 1847, 51193, 323, 66049, 82, 320, 269, 31591, 8965, 705, 902, 617, 3719, 810, 17049, 927, 892, 11, 1524, 994, 2555, 5084, 311, 387, 810, 11646, 627, 1131, 35668, 527, 16168, 23917, 1109, 814, 4070, 3596, 1027, 627, 40, 4070, 1903, 279, 5811, 927, 279, 1566, 2478, 1667, 430, 3953, 527, 16168, 23917, 1109, 814, 4070, 3596, 1027, 13, 1556, 74313, 1847, 304, 220, 2550, 15, 2853, 11, 389, 5578, 11, 922, 400, 1135, 13, 3011, 753, 400, 4578, 304, 220, 679, 18, 3300, 13, 4718, 400, 2031, 452, 1227, 72833, 304, 220, 2550, 23, 1053, 1397, 279, 13890, 315, 400, 1041, 3432, 13, 73817, 11, 279, 400, 1135, 32365, 220, 17, 1847, 499, 11021, 304, 220, 1049, 20, 374, 5922, 400, 1399, 11, 279, 4839, 3430, 315, 264, 14595, 11040, 1847, 304, 220, 679, 18, 13, 1115, 4536, 956, 311, 2019, 430, 37532, 320, 269, 47729, 2343, 8, 617, 8774, 709, 449, 25544, 323, 279, 2853, 8838, 2922, 2299, 1198, 433, 77120, 12775, 956, 1198, 719, 433, 374, 311, 2019, 430, 11, 18160, 4791, 54135, 927, 279, 3347, 220, 1758, 1667, 11, 16211, 12035, 323, 3241, 374, 8965, 23917, 1109, 3596, 627, 67962, 304, 4040, 374, 1405, 12062, 304, 2853, 1389, 994, 24043, 369, 25544, 1389, 374, 9193, 38617, 13, 578, 32365, 220, 18, 1253, 617, 9508, 11646, 994, 433, 11887, 520, 400, 21944, 13, 1484, 304, 220, 1049, 21, 1389, 323, 433, 574, 1389, 719, 433, 753, 539, 279, 1455, 11646, 21391, 16211, 2393, 13, 3011, 16044, 5900, 311, 279, 84976, 220, 11387, 15, 13, 5034, 10880, 304, 6250, 315, 220, 4468, 22, 11, 279, 84976, 220, 11387, 15, 2853, 400, 2550, 13, 1484, 13, 3277, 4737, 1139, 2759, 279, 220, 15966, 13, 24, 3346, 25544, 4478, 1990, 220, 4468, 22, 323, 220, 679, 18, 11, 279, 84976, 220, 11387, 15, 2853, 279, 13890, 315, 400, 24876, 3432, 13, 3573, 6334, 4116, 1, 16211, 12035, 11383, 1047, 311, 4662, 927, 220, 605, 3610, 8316, 304, 2458, 2786, 11, 477, 5131, 387, 389, 279, 3157, 29275, 1131, 1820, 74313, 374, 3604, 279, 1455, 11646, 23643, 2393, 3596, 6004, 627, 38219, 23643, 2162, 51193, 2533, 279, 4984, 315, 279, 74313, 304, 220, 3753, 20, 4726, 46480, 420, 13, 18056, 279, 74313, 11887, 520, 264, 12756, 13579, 400, 2550, 13, 1484, 430, 1060, 11, 400, 2550, 13, 1484, 574, 264, 5199, 2694, 315, 3300, 304, 279, 5209, 12, 14336, 1490, 82, 13, 578, 25544, 4478, 2533, 220, 3753, 20, 374, 264, 55944, 220, 8546, 13, 19, 3346, 11, 7438, 430, 279, 74313, 374, 3604, 279, 1455, 11646, 23643, 2393, 3596, 6004, 1746, 2550, 13, 1484, 304, 220, 3753, 20, 17239, 400, 20165, 13, 3076, 304, 220, 679, 18, 4390, 791, 43149, 23643, 2393, 11, 994, 4737, 25544, 1139, 2759, 11, 374, 279, 4140, 44429, 11, 902, 11887, 304, 220, 1049, 16, 369, 400, 2550, 13, 1484, 323, 3432, 1053, 2853, 400, 12815, 13, 914, 13, 5659, 1070, 11, 279, 40292, 1746, 14735, 13, 1484, 304, 220, 1049, 21, 11, 400, 13754, 304, 220, 679, 18, 705, 23643, 220, 1227, 1746, 2550, 13, 1484, 304, 220, 2550, 21, 11, 400, 17690, 13, 806, 304, 220, 679, 18, 705, 323, 7445, 23643, 1746, 2550, 13, 1484, 304, 220, 2550, 16, 11, 400, 16522, 13, 3174, 304, 220, 679, 18, 8, 4883, 704, 279, 1160, 13, 578, 40292, 549, 11, 3515, 1193, 2586, 704, 1566, 1060, 11, 47521, 505, 1193, 264, 220, 16, 13, 24, 3346, 25544, 4478, 11, 993, 19787, 1202, 3430, 1193, 400, 21, 13, 5495, 627, 644, 65249, 706, 1027, 3117, 3169, 261, 311, 23643, 753, 66049, 82, 9522, 644, 65249, 706, 1027, 3117, 3169, 261, 311, 23643, 753, 66049, 82, 1389, 5423, 279, 4140, 16576, 1584, 1389, 67908, 1120, 1268, 12136, 814, 1051, 1524, 520, 279, 892, 814, 1051, 6004, 13, 578, 4113, 4140, 16576, 11, 11887, 304, 220, 3753, 24, 369, 264, 17983, 400, 4578, 13, 1484, 11, 1053, 1193, 2853, 400, 11739, 13, 5958, 3432, 320, 266, 264, 220, 2421, 13, 21, 3346, 25544, 4478, 570, 4140, 16576, 3562, 11, 6004, 304, 279, 7474, 315, 220, 2550, 23, 369, 279, 3428, 2694, 315, 400, 3076, 13, 1484, 11, 1053, 2853, 1193, 400, 1041, 3432, 11, 449, 264, 220, 1272, 13, 19, 3346, 25544, 4478, 13, 4140, 16576, 47396, 9731, 279, 9327, 11, 28818, 304, 279, 4216, 7474, 315, 220, 1049, 16, 369, 400, 1484, 13, 1484, 11, 279, 13890, 315, 400, 9413, 13, 717, 3432, 627, 28474, 430, 311, 5161, 16519, 753, 43940, 311, 279, 4140, 16576, 11, 279, 11863, 5773, 1113, 11, 1933, 30360, 291, 4140, 28603, 13, 3277, 4140, 28603, 11887, 304, 220, 2550, 16, 11, 433, 2853, 400, 10161, 13, 1484, 13, 3011, 753, 400, 15574, 13, 3487, 304, 220, 679, 18, 3300, 11, 4737, 1139, 2759, 264, 220, 6028, 13, 22, 3346, 25544, 4478, 1990, 1243, 323, 1457, 627, 87079, 753, 21223, 1584, 374, 26627, 11, 323, 16472, 3250, 1431, 7831, 439, 1790, 505, 279, 13552, 1105, 315, 25544, 627, 87079, 753, 21223, 1584, 374, 26627, 11, 323, 16472, 3250, 1431, 7831, 439, 1790, 505, 279, 13552, 1105, 315, 25544, 13, 578, 4113, 23643, 21223, 11, 902, 11887, 304, 279, 4498, 315, 220, 1049, 19, 520, 400, 10161, 13, 1484, 11, 1053, 1193, 387, 93342, 311, 400, 9741, 13, 2031, 3432, 11, 10494, 433, 1664, 2949, 279, 1054, 76571, 2718, 33705, 863, 2134, 13, 220, 18, 6061, 11, 2288, 11, 12775, 1431, 3970, 1202, 3430, 10205, 1790, 13, 3161, 264, 17983, 3116, 3346, 25544, 4478, 1990, 220, 679, 16, 323, 1457, 11, 23643, 220, 18, 6061, 529, 4113, 3430, 4877, 315, 400, 14735, 13, 1484, 1053, 4933, 1202, 3430, 2753, 1109, 400, 605, 1746, 24, 13, 4331, 11, 311, 387, 4839, 4390, 9315, 20348, 753, 10937, 311, 23643, 753, 66049, 82, 1389, 279, 69914, 323, 11, 810, 6051, 11, 279, 55724, 1389, 2225, 11887, 520, 400, 14735, 13, 1484, 304, 220, 1049, 20, 323, 220, 679, 17, 11, 15947, 13, 3011, 3445, 69914, 11, 3432, 11, 1053, 2853, 400, 15531, 13, 1806, 320, 266, 220, 777, 13, 23, 3346, 25544, 705, 449, 55724, 3117, 287, 2731, 11, 449, 1193, 264, 220, 16, 13, 24, 3346, 25544, 4478, 11, 323, 16472, 54824, 1193, 400, 19, 13, 2287, 810, 1109, 1202, 2926, 10371, 3430, 627, 35982, 399, 753, 62540, 1131, 617, 2267, 2757, 2731, 1606, 315, 872, 4827, 20081, 4441, 7729, 627, 937, 16519, 753, 51193, 617, 1629, 279, 9192, 332, 315, 21913, 11, 449, 5161, 16519, 50253, 1694, 8530, 279, 1455, 304, 76571, 2718, 33705, 520, 279, 892, 315, 1202, 4984, 11, 902, 3727, 25544, 5115, 653, 15674, 13, 3277, 50253, 11887, 320, 412, 315, 279, 6437, 11, 4059, 499, 8, 304, 220, 2550, 20, 11, 433, 2853, 400, 18572, 13, 1484, 11, 477, 279, 3430, 315, 279, 32365, 220, 19, 3432, 13, 2030, 400, 18572, 13, 1484, 304, 220, 2550, 20, 374, 5922, 400, 22922, 13, 5833, 3432, 11, 94012, 1120, 1268, 1579, 430, 3430, 574, 520, 279, 892, 627, 35982, 399, 753, 62540, 11, 389, 279, 1023, 1450, 11, 617, 2267, 2757, 2731, 1606, 315, 872, 4827, 20081, 4441, 7729, 13, 11060, 744, 11, 11887, 304, 220, 3753, 21, 520, 400, 2550, 13, 1484, 11, 1053, 2853, 400, 20363, 13, 4767, 3432, 11, 449, 264, 220, 8190, 13, 19, 3346, 25544, 4478, 13, 41888, 11, 11887, 304, 220, 3753, 24, 520, 264, 10284, 4827, 3430, 1486, 1198, 400, 9378, 13, 1484, 1389, 1053, 2853, 400, 17112, 13, 1958, 3432, 11, 449, 459, 220, 2421, 13, 21, 3346, 25544, 4478, 13, 18308, 3914, 11, 902, 3782, 311, 3157, 389, 279, 1023, 3185, 315, 279, 50253, 753, 8060, 11, 2853, 400, 2550, 13, 1484, 304, 220, 2550, 24, 11, 13890, 311, 400, 11209, 13, 2075, 3432, 627, 2688, 29392, 11, 21533, 753, 32365, 6883, 5602, 1202, 1455, 11646, 11751, 519, 304, 220, 1049, 21, 753, 32365, 220, 18, 11, 323, 449, 264, 23900, 25544, 4478, 1990, 1243, 323, 1457, 315, 220, 845, 3346, 11, 1202, 400, 21944, 13, 1484, 2853, 3312, 988, 311, 400, 23578, 13, 2304, 3432, 13, 578, 4113, 32365, 11, 11887, 304, 279, 9909, 304, 220, 2550, 20, 520, 400, 15531, 13, 1484, 11, 1053, 2853, 400, 16551, 13, 1806, 3432, 11, 1418, 32365, 220, 17, 11, 11887, 304, 220, 1049, 15, 369, 459, 20086, 400, 15531, 13, 1484, 3430, 1486, 11, 1053, 2853, 400, 18501, 13, 2096, 3432, 627, 13068, 753, 2380, 21222, 51193, 617, 17454, 810, 11646, 927, 892, 13, 578, 4113, 11, 67459, 21222, 11, 11887, 304, 220, 1049, 16, 520, 400, 15531, 13, 1484, 11, 7194, 810, 1093, 400, 19615, 3432, 13, 21222, 220, 6843, 11, 11887, 304, 220, 1049, 20, 520, 400, 18572, 13, 1484, 11, 1053, 2853, 400, 21848, 3432, 13, 1628, 21222, 3861, 11, 902, 4131, 704, 1828, 2305, 11, 690, 2853, 400, 18162, 13, 1484, 304, 220, 679, 18, 8515, 627, 6255, 258, 95297, 6862, 374, 50939, 753, 19903, 12865, 13, 1472, 649, 1833, 1461, 389, 6405, 13 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 128000, 9312, 936, 50905, 452, 51758, 27307, 14496, 198, 1383, 30639, 8458, 358, 2308, 969, 12, 4438, 616, 11, 12432, 323, 356, 1073, 94006, 11, 20680, 683, 10181, 198, 50, 402, 683, 8121, 8068, 51730, 79577, 11, 12332, 11, 323, 21347, 304, 279, 40096, 520, 5767, 936, 50905, 452, 51758, 198, 9312, 936, 50905, 452, 51758, 374, 18949, 311, 4668, 420, 8810, 5117, 5439, 555, 30639, 8458, 358, 2308, 969, 12, 4438, 616, 11, 12432, 323, 356, 1073, 94006, 315, 279, 20680, 683, 10181, 11, 264, 3728, 7471, 12514, 311, 44169, 1239, 75989, 17808, 30029, 323, 61876, 51876, 323, 16763, 1974, 6373, 13, 578, 20680, 683, 2128, 6051, 12263, 5767, 936, 50905, 452, 51758, 369, 264, 9293, 31114, 323, 311, 4726, 1202, 990, 304, 35148, 10913, 5270, 13, 19545, 8604, 75084, 683, 22697, 627, 791, 20680, 683, 10181, 323, 1202, 3728, 4009, 527, 12514, 311, 1239, 94207, 279, 16763, 8329, 315, 279, 1917, 13, 5751, 2128, 374, 17693, 11411, 311, 6968, 4787, 315, 37492, 439, 584, 733, 922, 57911, 4363, 6108, 10105, 311, 3728, 24521, 2461, 323, 10182, 2349, 13, 3765, 98681, 323, 20057, 1977, 56062, 323, 527, 20124, 315, 279, 16940, 2890, 315, 264, 1887, 13, 578, 84911, 315, 26031, 2890, 374, 264, 6332, 315, 5696, 315, 1057, 7471, 627, 4599, 433, 4131, 311, 84911, 26031, 2890, 11, 10371, 1148, 22037, 10825, 374, 264, 1695, 6041, 1486, 13, 763, 2015, 311, 10299, 4363, 304, 22037, 753, 2217, 11, 584, 617, 311, 1440, 477, 520, 3325, 617, 264, 1695, 8101, 520, 1148, 22037, 10825, 369, 430, 6710, 315, 4363, 13, 362, 27989, 22842, 315, 279, 4363, 11, 61325, 20680, 683, 753, 1401, 26793, 617, 9087, 20957, 2212, 279, 1917, 27661, 872, 4363, 627, 4054, 315, 61325, 753, 1401, 26793, 374, 279, 7434, 315, 38430, 83, 77319, 13, 64117, 77319, 11, 304, 420, 1162, 11, 1587, 539, 3152, 8508, 1429, 719, 19813, 311, 279, 8141, 315, 38193, 6957, 279, 1060, 13, 1102, 374, 1633, 3062, 311, 3619, 1405, 264, 6710, 315, 4363, 15812, 389, 279, 38430, 83, 77319, 5569, 11, 439, 279, 1890, 7526, 690, 617, 311, 387, 9435, 22009, 323, 690, 617, 2204, 20124, 13, 2057, 7216, 704, 1405, 499, 527, 389, 279, 38430, 83, 77319, 5569, 11, 499, 1253, 1427, 520, 1268, 6136, 3769, 374, 15061, 1523, 1389, 374, 433, 5868, 1303, 323, 6160, 30450, 1654, 17718, 11, 477, 374, 433, 36172, 4954, 11, 11509, 11, 323, 13353, 14198, 323, 1243, 18004, 30, 8886, 74718, 16763, 11012, 7982, 40069, 3871, 11, 477, 527, 1070, 3544, 5789, 315, 12743, 5015, 323, 61246, 17614, 5380, 36328, 11489, 22484, 527, 3280, 750, 67038, 11, 902, 3445, 430, 2391, 279, 9235, 3280, 24156, 5820, 3846, 2315, 13, 578, 16996, 3560, 315, 279, 39999, 344, 461, 304, 1521, 22484, 374, 311, 4546, 304, 32257, 323, 80727, 320, 258, 279, 14322, 268, 8, 311, 6160, 30450, 61843, 279, 58758, 430, 14264, 304, 279, 67038, 3280, 11, 5510, 279, 17614, 11, 323, 10772, 279, 6136, 311, 5371, 40120, 1578, 994, 62555, 1212, 13, 1115, 374, 1148, 7077, 369, 384, 2439, 439, 16763, 8329, 28995, 13, 763, 2536, 1481, 1018, 11489, 22484, 11, 1405, 38193, 374, 1579, 323, 279, 31815, 315, 11012, 8741, 1060, 21691, 11, 279, 3560, 315, 279, 39999, 344, 461, 374, 2753, 9200, 311, 26031, 2890, 1389, 23367, 323, 80727, 527, 4642, 323, 520, 990, 704, 304, 279, 1825, 4676, 11, 682, 279, 892, 627, 3561, 94207, 264, 51269, 63641, 198, 11458, 11, 304, 1690, 2536, 1481, 1018, 11489, 22484, 11, 279, 18921, 706, 1027, 5614, 555, 3823, 5820, 323, 264, 502, 1614, 3966, 311, 387, 9152, 28178, 13, 1115, 374, 279, 1162, 304, 279, 4851, 315, 6366, 32380, 53049, 11, 1405, 304, 7634, 11, 279, 11422, 51755, 706, 1027, 9107, 709, 555, 3823, 5820, 11, 323, 3347, 1439, 369, 84550, 617, 1027, 39441, 13, 6104, 84550, 11, 304, 4689, 11, 649, 387, 2653, 389, 904, 4363, 430, 374, 11383, 13952, 291, 11, 61876, 13205, 84550, 11, 16239, 279, 7351, 315, 51876, 304, 264, 1648, 430, 28003, 1233, 5933, 84550, 12912, 315, 8545, 1077, 5469, 11, 649, 5376, 17614, 12782, 323, 7417, 73119, 11, 323, 1121, 304, 50123, 41947, 3691, 11, 264, 6485, 323, 59780, 4676, 11, 323, 9498, 17614, 13, 3277, 2884, 5076, 11, 682, 315, 1521, 34824, 315, 26031, 2890, 7831, 627, 2170, 20957, 11, 1057, 6156, 1988, 374, 52495, 11, 323, 1057, 54711, 12014, 374, 311, 24322, 433, 4669, 7397, 74767, 315, 11012, 13, 1789, 20957, 304, 279, 21965, 1233, 3318, 449, 3347, 1439, 11, 5933, 477, 39441, 11, 39999, 344, 4692, 10489, 9152, 527, 1401, 311, 88278, 279, 5845, 315, 11012, 311, 7397, 1910, 27985, 11, 513, 724, 261, 12782, 304, 69561, 11, 323, 50460, 10182, 2349, 13, 16071, 4633, 13205, 84550, 8779, 20957, 656, 420, 1418, 24043, 369, 279, 52909, 38864, 323, 23965, 814, 1205, 311, 10299, 369, 627, 25763, 1561, 4075, 11, 356, 1073, 94006, 315, 5767, 936, 50905, 452, 51758, 44668, 320, 6254, 45, 705, 374, 264, 1054, 27995, 261, 1109, 2324, 863, 29115, 369, 10917, 12782, 26326, 4669, 7397, 74767, 315, 9498, 6136, 10977, 13, 5046, 3388, 11, 12966, 323, 10099, 527, 1401, 2955, 323, 8292, 6956, 315, 813, 990, 13, 8529, 374, 25429, 922, 323, 29329, 311, 86644, 73119, 1555, 279, 35482, 1920, 315, 17843, 50123, 41947, 11, 9498, 3691, 1239, 804, 8046, 1418, 4857, 70225, 69561, 13, 1115, 5603, 374, 1401, 311, 28118, 10182, 2349, 13, 8529, 753, 27692, 374, 279, 63615, 6366, 5767, 936, 50905, 452, 51758, 11, 459, 86810, 315, 37492, 323, 9096, 304, 279, 4851, 315, 32380, 53049, 13, 5414, 15507, 311, 69606, 5383, 315, 279, 4363, 11, 10099, 11, 323, 1274, 374, 14243, 323, 91426, 16070, 555, 13062, 45, 60891, 356, 1073, 94006, 323, 18945, 55628, 323, 11060, 24565, 86445, 627, 67660, 86445, 320, 75, 8, 323, 8529, 1561, 4075, 198, 25763, 574, 12304, 323, 342, 1810, 1570, 36387, 994, 358, 8813, 704, 311, 4358, 279, 4623, 315, 5108, 449, 61325, 20680, 683, 323, 279, 2128, 311, 5767, 936, 50905, 452, 51758, 369, 264, 2046, 315, 99250, 990, 13, 4740, 682, 11, 1148, 2731, 2035, 369, 1057, 2128, 311, 3449, 1109, 420, 89115, 39039, 277, 315, 1239, 75989, 30029, 30, 578, 4623, 6244, 264, 8903, 304, 6664, 439, 584, 20802, 520, 13062, 45, 311, 2955, 20680, 683, 753, 220, 679, 24, 8446, 627, 74640, 20202, 11, 12332, 11, 85619, 4235, 35236, 1590, 315, 1057, 1252, 57546, 4212, 520, 5767, 936, 50905, 452, 51758, 198, 46233, 2203, 20202, 863, 3782, 505, 279, 15400, 13444, 323, 64543, 315, 279, 5933, 323, 5918, 12908, 11, 279, 20229, 48728, 603, 709, 304, 279, 6693, 449, 872, 11936, 11, 279, 56227, 315, 279, 35148, 26390, 584, 2751, 311, 12945, 520, 279, 2385, 315, 279, 12690, 430, 39786, 1124, 11, 323, 279, 19837, 51798, 839, 2212, 279, 13952, 11, 389, 1057, 61253, 11, 323, 1057, 7013, 41625, 627, 48799, 7716, 299, 660, 57895, 4919, 12459, 26390, 520, 50905, 452, 51758, 198, 45, 60955, 87427, 23414, 3235, 28059, 921, 613, 55748, 13, 11064, 555, 8529, 72004, 8674, 198, 35515, 10333, 13722, 507, 897, 408, 19736, 1051, 1070, 555, 279, 11758, 477, 9214, 198, 3556, 584, 1051, 520, 279, 8961, 4999, 2688, 682, 279, 26390, 1051, 10437, 13, 7181, 279, 281, 25369, 2768, 36263, 315, 1054, 76, 318, 15222, 863, 264, 14441, 14520, 1054, 49938, 318, 8385, 2476, 264, 8844, 315, 6917, 36698, 430, 3250, 1431, 20753, 449, 1694, 10437, 0, 2435, 1427, 323, 12945, 1093, 20897, 3820, 645, 7982, 6089, 505, 279, 5021, 49695, 198, 46324, 6374, 41245, 307, 86529, 3139, 682, 2212, 279, 8961, 11, 82019, 32390, 291, 449, 1023, 11012, 304, 18859, 449, 1239, 75989, 16565, 13, 5810, 753, 264, 89858, 45088, 1450, 7230, 2617, 627, 49, 3042, 332, 598, 1051, 77315, 555, 279, 9214, 1022, 279, 11758, 315, 12690, 7982, 2212, 279, 8961, 13, 4314, 12945, 1093, 279, 10437, 478, 14869, 1557, 288, 499, 4070, 3596, 61580, 627, 11874, 49659, 304, 832, 0, 1054, 45, 41320, 797, 863, 374, 279, 6453, 10533, 23712, 555, 264, 2579, 32635, 430, 11, 994, 32720, 323, 5015, 11, 584, 1650, 1054, 76, 580, 49216, 3112, 1243, 1070, 574, 272, 15459, 682, 927, 279, 8961, 0, 1226, 10534, 279, 10437, 7878, 64188, 1314, 1022, 279, 5021, 11, 323, 1243, 584, 1903, 279, 14154, 3297, 276, 48573, 315, 279, 44875, 323, 1148, 584, 1457, 1650, 18414, 505, 279, 96080, 323, 54662, 19595, 627, 74640, 20202, 3782, 439, 584, 1051, 20037, 304, 279, 11204, 315, 279, 11422, 51755, 323, 1051, 31256, 11, 5655, 4871, 1057, 15922, 11, 315, 1268, 584, 527, 2216, 832, 449, 682, 627, 32, 18589, 388, 33578, 304, 52554, 2391, 1057, 4034, 13, 10771, 311, 8529, 323, 24565, 11, 433, 1047, 2646, 1603, 14545, 25111, 11, 323, 584, 1051, 38564, 430, 279, 14880, 89858, 44865, 603, 4999, 50909, 279, 22674, 51755, 30727, 4804, 19177, 11, 459, 4228, 35331, 3221, 279, 60891, 323, 10960, 13, 1472, 3207, 3411, 520, 264, 58937, 445, 21473, 30050, 30608, 709, 1139, 279, 64071, 198, 3112, 315, 3388, 11, 369, 420, 15860, 315, 51876, 33218, 11, 20343, 3782, 505, 279, 51876, 430, 51933, 291, 37875, 11, 323, 10489, 11, 304, 279, 3347, 1439, 520, 5767, 936, 50905, 452, 51758, 627, 11874, 61095, 304, 279, 89355, 13, 578, 28875, 374, 1054, 8376, 1098, 4988, 2476, 14393, 264, 6651, 315, 220, 20, 14, 23, 16071, 12711, 323, 220, 18, 14, 23, 48035, 198, 3198, 5977, 279, 51876, 304, 279, 7625, 10789, 8216, 11, 1405, 814, 4774, 10437, 5554, 425, 505, 279, 1054, 79565, 6201, 863, 315, 11012, 7982, 3221, 279, 34479, 198, 50, 402, 683, 10195, 2068, 7690, 71984, 37940, 783, 11, 20680, 683, 27636, 7808, 505, 7188, 753, 34644, 5955, 369, 16071, 4633, 9744, 36221, 9259, 11, 323, 24565, 86445, 5678, 13375, 22323, 315, 26031, 2890, 2768, 20680, 683, 753, 37211, 5848, 95709, 56573, 320, 6903, 53, 8, 17447, 11, 323, 1051, 682, 14948, 555, 279, 6222, 6975, 1389, 323, 993, 1982, 291, 555, 279, 11341, 315, 264, 22999, 26332, 627, 791, 2128, 38464, 389, 264, 63857, 6693, 25052, 287, 279, 24429, 38210, 9152, 89355, 198, 2118, 34868, 2476, 1778, 16595, 5510, 369, 1057, 35826, 11, 3782, 505, 1057, 18939, 11, 8529, 323, 32618, 11, 24565, 11, 323, 279, 8056, 13062, 45, 5687, 889, 42777, 369, 603, 1093, 3070, 26, 889, 80220, 44033, 389, 603, 18872, 315, 69561, 323, 11012, 11, 10099, 2466, 323, 2678, 11, 315, 18414, 323, 19226, 11, 10182, 323, 55280, 11, 11987, 323, 9341, 11, 52786, 31817, 323, 1695, 14322, 1981, 323, 889, 11, 304, 11821, 872, 11879, 323, 11376, 369, 279, 3938, 11, 69671, 1057, 1866, 627, 2729, 304, 279, 3691, 13952, 21630, 945, 299, 762, 2508, 198, 15571, 18632, 323, 1695, 9736, 68797, 82, 1389, 279, 14787, 499, 1390, 311, 617, 4999, 38, 83895, 520, 51171, 50905, 311, 3197, 279, 1060, 311, 2586, 198, 32978, 323, 358, 11, 3235, 449, 279, 2128, 11, 6975, 922, 6160, 61002, 47979, 323, 198, 267, 287, 1752, 29829, 8083, 40558, 3339, 58041, 26828, 198, 2181, 574, 6612, 304, 1057, 84633, 11, 1694, 6220, 311, 68270, 11, 311, 8815, 11, 311, 3041, 709, 11, 311, 1935, 389, 810, 11, 323, 311, 27830, 2349, 13, 1102, 574, 6612, 304, 279, 26348, 315, 279, 55890, 14932, 603, 430, 7263, 26348, 311, 1057, 2919, 13, 1102, 14264, 16643, 1475, 1938, 11, 439, 584, 6222, 323, 27367, 1855, 1023, 753, 1917, 5182, 13, 94965, 279, 842, 315, 1057, 4822, 11, 1023, 6164, 315, 279, 32380, 53049, 1239, 75989, 30029, 7351, 11, 14971, 315, 39431, 971, 24079, 354, 438, 356, 556, 46523, 11, 11096, 323, 3779, 311, 279, 5647, 315, 4029, 323, 6975, 627, 2118, 47, 580, 2476, 430, 66684, 47964, 6666, 311, 279, 4545, 11, 264, 8352, 779, 96435, 994, 1057, 20663, 527, 16572, 311, 40320, 304, 1521, 5043, 65319, 3115, 13, 5751, 18338, 13639, 520, 5767, 936, 50905, 452, 51758, 1051, 279, 18067, 17323, 1389, 57264, 323, 8945, 1389, 4737, 872, 892, 311, 3351, 505, 9046, 311, 9046, 11, 439, 584, 15746, 1124, 304, 51517, 1981, 48408, 1523, 11, 1694, 3118, 627, 44, 3105, 323, 8945, 1403, 4791, 291, 18067, 17323, 304, 279, 13952, 3221, 279, 60891, 13, 578, 8945, 10456, 39825, 5196, 389, 279, 57264, 753, 2010, 323, 3663, 1389, 8056, 1268, 1364, 34512, 660, 36941, 1523, 4999, 2181, 79754, 304, 2539, 75657, 11, 28697, 323, 6530, 2391, 279, 1938, 11, 323, 304, 59938, 10409, 449, 43214, 323, 1514, 11, 28965, 39510, 323, 23008 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]