Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 0, 268, 1323, 6805, 1268, 540, 519, 17113, 563, 268, 589, 4759, 540, 1022, 540, 519, 3312, 6805, 4529, 540, 519, 17113, 563, 4350, 271, 338, 281, 689, 7819, 1341, 21944, 563, 268, 634, 589, 1067, 785, 2103, 723, 513, 3638, 2686, 6561, 543, 5389, 563, 268, 3509, 589, 1067, 785, 1014, 4654, 616, 13155, 543, 991, 547, 581, 12873, 563, 268, 634, 589, 1067, 785, 1014, 2146, 814, 5185, 3875, 2591, 267, 1519, 2530, 540, 2244, 543, 2686, 3961, 563, 268, 634, 589, 1067, 785, 1014, 17035, 568, 7184, 12082, 538, 2470, 543, 519, 1604, 563, 268, 634, 589, 1067, 785, 1014, 1004, 723, 513, 2178, 2631, 540, 2146, 543, 513, 2673, 2078, 547, 741, 3885, 269, 0, 300, 527, 13578, 6319, 616, 5033, 807, 583, 26127, 31759, 602, 6157, 616, 513, 10747, 4183, 540, 12303, 782, 32541, 2281, 269, 5943, 543, 1599, 3648, 2488, 7960, 269, 634, 3355, 3368, 689, 519, 476, 736, 628, 4627, 1296, 8068, 519, 18572, 689, 519, 16454, 337, 542, 607, 519, 1292, 1259, 547, 3489, 1648, 4611, 538, 922, 13423, 2867, 267, 519, 1379, 5264, 689, 519, 1591, 269, 901, 21490, 519, 3020, 1505, 585, 31338, 689, 519, 7929, 5569, 543, 570, 7563, 6296, 2609, 267, 607, 6202, 607, 519, 19027, 689, 519, 19842, 8485, 800, 3175, 8367, 538, 519, 1985, 1296, 269, 14600, 13578, 6319, 1185, 1044, 1336, 547, 4865, 5027, 267, 10717, 267, 543, 5946, 10282, 2934, 267, 543, 25761, 13753, 883, 24197, 1599, 538, 17343, 3366, 547, 513, 1732, 1702, 540, 27899, 24197, 1979, 14003, 1547, 17437, 2609, 15725, 24197, 1979, 14003, 543, 1599, 723, 2907, 1044, 14916, 6594, 1369, 519, 2063, 1896, 5756, 4611, 538, 519, 14634, 540, 513, 2039, 540, 6046, 7929, 1062, 2609, 267, 9449, 13364, 267, 543, 1898, 16606, 2460, 1071, 716, 643, 2209, 602, 1764, 24197, 1979, 14003, 15217, 267, 19842, 8485, 800, 3175, 267, 9761, 26076, 2752, 514, 543, 23639, 28539, 22889, 15285, 267, 623, 24774, 272, 4046, 4637, 547, 513, 7294, 1895, 540, 28772, 11043, 10832, 547, 19334, 715, 27184, 272, 267, 715, 27184, 273, 267, 570, 325, 600, 267, 544, 339, 307, 293, 289, 267, 18317, 305, 31742, 539, 676, 2890, 6783, 9382, 6029, 513, 1689, 689, 19842, 8485, 800, 3175, 547, 20659, 28340, 1736, 1547, 681, 339, 326, 273, 335, 568, 6157, 513, 11118, 32194, 8485, 334, 5139, 1503, 848, 3844, 2509, 519, 15632, 689, 519, 1427, 5766, 8565, 3210, 269, 2920, 10474, 540, 681, 339, 326, 273, 11727, 16548, 547, 771, 514, 22128, 689, 519, 19654, 16606, 2609, 267, 681, 339, 326, 274, 335, 543, 681, 339, 326, 272, 335, 269, 5548, 16120, 573, 22629, 901, 568, 25189, 676, 632, 874, 6664, 800, 3175, 689, 519, 7409, 7480, 2460, 631, 802, 272, 335, 269, 3487, 6053, 267, 632, 874, 6664, 800, 3836, 631, 802, 272, 335, 568, 6157, 6098, 585, 12159, 609, 519, 661, 274, 21866, 514, 14270, 848, 849, 267, 6182, 337, 272, 335, 269, 2755, 713, 1522, 2408, 547, 1374, 622, 6182, 337, 272, 335, 1373, 513, 2318, 26273, 689, 519, 1427, 5766, 8565, 3210, 267, 621, 779, 1044, 5227, 602, 922, 2101, 1909, 3340, 12159, 540, 513, 1863, 540, 5279, 7535, 540, 631, 802, 272, 335, 6721, 519, 681, 339, 326, 273, 335, 24975, 9086, 1732, 269, 17957, 267, 1079, 476, 1691, 268, 274, 268, 274, 3940, 267, 645, 332, 327, 273, 335, 543, 645, 332, 327, 272, 335, 267, 723, 1044, 8810, 547, 1921, 547, 631, 802, 272, 335, 16069, 6182, 337, 272, 335, 17466, 12159, 543, 267, 607, 513, 1267, 267, 32485, 11852, 689, 519, 681, 339, 326, 272, 270, 274, 335, 10636, 617, 25534, 1496, 2767, 267, 476, 2764, 4940, 5548, 16120, 573, 22629, 634, 570, 3036, 32635, 23838, 723, 2907, 1044, 8810, 547, 21391, 519, 1427, 5766, 8565, 3210, 849, 267, 538, 5329, 609, 741, 1585, 824, 2934, 538, 8770, 15392, 476, 5310, 269, 6715, 1537, 547, 519, 7409, 7480, 1198, 949, 581, 519, 700, 560, 279, 335, 5946, 602, 568, 5693, 513, 3693, 540, 519, 570, 3036, 272, 270, 273, 335, 7294, 269, 3794, 583, 600, 622, 5170, 547, 581, 6700, 547, 11851, 513, 4057, 5955, 3310, 593, 519, 13374, 2901, 2786, 610, 998, 519, 9245, 27995, 590, 4916, 11254, 3679, 1606, 14819, 7294, 267, 1498, 3668, 540, 22965, 600, 622, 676, 3294, 568, 711, 2614, 547, 21391, 1427, 5766, 8565, 1445, 593, 6090, 269, 8616, 31594, 2717, 5670, 4689, 547, 26076, 9281, 1776, 4110, 540, 1852, 568, 6157, 26582, 538, 519, 8343, 519, 1249, 602, 681, 339, 326, 273, 335, 5946, 2882, 606, 21085, 11006, 1858, 602, 779, 2877, 568, 1317, 540, 922, 1599, 269, 901, 2982, 602, 681, 339, 326, 273, 335, 1522, 1831, 606, 21085, 9300, 267, 1437, 908, 1427, 5766, 8565, 15202, 538, 3210, 547, 1970, 21085, 5666, 476, 630, 28694, 476, 273, 1040, 7046, 909, 538, 1776, 1753, 6885, 10610, 476, 273, 2318, 543, 2942, 22124, 689, 519, 1427, 5766, 8565, 13374, 269, 634, 1427, 5766, 8565, 13374, 568, 6157, 7587, 583, 1947, 7409, 1243, 676, 631, 802, 272, 335, 607, 6202, 607, 570, 3036, 272, 270, 273, 335, 13624, 560, 279, 335, 799, 5409, 874, 6664, 800, 331, 919, 630, 303, 264, 519, 5548, 16120, 573, 22629, 681, 339, 326, 272, 270, 274, 335, 10636, 617, 25534, 269, 645, 332, 327, 272, 270, 273, 335, 11689, 3278, 519, 8485, 800, 3836, 631, 802, 272, 335, 4946, 547, 922, 2534, 543, 16069, 922, 12159, 269, 14600, 13578, 7434, 8082, 31591, 681, 339, 326, 273, 335, 799, 632, 874, 6664, 800, 331, 919, 631, 802, 272, 335, 269, 631, 802, 272, 335, 4744, 1539, 919, 689, 645, 332, 327, 272, 270, 273, 335, 543, 621, 568, 28811, 676, 6182, 337, 272, 335, 1310, 602, 269, 681, 339, 326, 273, 335, 29620, 519, 7409, 7480, 2460, 700, 560, 279, 335, 849, 269, 3958, 267, 700, 560, 279, 335, 568, 1858, 540, 519, 570, 3036, 272, 270, 273, 335, 5214, 543, 621, 568, 6417, 676, 28138, 22124, 540, 570, 3036, 849, 269, 634, 771, 514, 22128, 689, 519, 681, 339, 326, 272, 270, 274, 335, 10636, 617, 25534, 2636, 6037, 6327, 543, 632, 874, 6664, 800, 3175, 2509, 519, 13540, 1141, 621, 31591, 519, 21512, 294, 6090, 269, 634, 1486, 12111, 673, 21512, 294, 5444, 595, 3951, 273, 1958, 3941, 829, 2135, 529, 10095, 3632, 3433, 5348, 628, 848, 630, 290, 3951, 273, 264, 799, 2242, 3600, 25485, 15801, 288, 543, 3404, 14900, 659, 2045, 23639, 630, 302, 8150, 264, 547, 3632, 3433, 269, 901, 8309, 9436, 2509, 519, 570, 7563, 6296, 547, 581, 2111, 547, 2226, 513, 25685, 1259, 547, 3489, 1547, 1358, 7152, 602, 22420, 630, 31198, 19091, 22930, 264, 610, 10894, 630, 6717, 9573, 1840, 264, 24197, 8082, 5012, 547, 18287, 710, 584, 514, 17466, 30737, 10474, 540, 594, 732, 3090, 1242, 676, 554, 9915, 268, 2568, 543, 554, 9915, 268, 277, 267, 6606, 269, 3414, 519, 946, 540, 27680, 21437, 1141, 3039, 24638, 5946, 4082, 729, 5916, 2509, 519, 3260, 518, 3334, 540, 554, 9915, 268, 2568, 543, 554, 9915, 268, 277, 267, 15917, 5886, 1696, 620, 269, 5462, 6046, 6090, 4105, 602, 596, 519, 544, 339, 308, 11266, 269, 595, 10861, 303, 268, 272, 568, 6157, 513, 5946, 4630, 27881, 2509, 519, 2926, 848, 1849, 13048, 1547, 898, 2199, 3278, 2509, 519, 26503, 543, 621, 568, 1360, 1271, 547, 22612, 689, 519, 772, 11266, 630, 28694, 476, 274, 1040, 3958, 267, 519, 16606, 2460, 667, 12717, 268, 272, 729, 8068, 547, 1921, 547, 519, 3260, 619, 689, 519, 669, 1653, 821, 6090, 607, 6202, 1454, 899, 519, 21866, 514, 6438, 5946, 772, 13993, 268, 276, 267, 602, 1223, 5732, 1831, 606, 29208, 1129, 899, 519, 7586, 4328, 10832, 4767, 538, 519, 2144, 308, 11266, 269, 2755, 595, 10861, 303, 268, 272, 568, 1898, 585, 667, 12717, 268, 272, 31338, 2509, 519, 13540, 267, 519, 3190, 12310, 1063, 707, 1079, 735, 25902, 4865, 2943, 5548, 16120, 573, 22629, 547, 1831, 19286, 730, 1547, 7046, 909, 538, 1776, 6885, 10610, 476, 274, 23738, 16375, 2511, 540, 519, 607, 1134, 607, 519, 5532, 6046, 7929, 1062, 2609, 1496, 7597, 290, 10170, 4940, 769, 713, 1483, 1259, 267, 24197, 27921, 568, 6157, 17468, 267, 607, 1134, 607, 519, 1591, 269, 0, 2026, 513, 1267, 267, 2011, 5533, 543, 4492, 4616, 1522, 581, 4389, 269, 634, 3595, 693, 519, 12051, 13497, 2799, 1719, 538, 3595, 3106, 3800, 3144, 538, 519, 2197, 267, 2523, 609, 2543, 547, 2679, 4441, 267, 1374, 4170, 543, 15569, 540, 10220, 609, 3106, 6042, 269, 9293, 281, 476, 13975, 277, 910, 9664, 281, 476, 280, 269, 4107, 540, 519, 4600, 593, 519, 476, 279, 628, 543, 476, 1015, 628, 6989, 941, 2111, 547, 581, 10710, 267, 855, 513, 19526, 3595, 9101, 7450, 3361, 519, 4600, 593, 519, 476, 280, 628, 6989, 547, 581, 16290, 269, 634, 1614, 2609, 602, 1118, 909, 519, 2203, 616, 9228, 2604, 267, 9228, 4316, 543, 7787, 5314, 269, 1703, 616, 3595, 608, 1080, 693, 1169, 1439, 540, 519, 2679, 269, 2353, 540, 891, 1762, 2021, 5249, 27552, 5662, 10593, 585, 3670, 2395, 513, 3018, 267, 609, 606, 5662, 569, 8569, 540, 24369, 21347, 606, 5662, 543, 22247, 2324, 2175, 563, 2467, 941, 1100, 4031, 8260, 908, 602, 519, 5411, 3177, 922, 5520, 609, 3595, 608, 1080, 610, 7850, 12227, 269, 898, 729, 22125, 547, 519, 3970, 543, 1100, 835, 1223, 723, 3893, 593, 269, 634, 21121, 1744, 7398, 11445, 626, 31543, 3595, 799, 7018, 538, 1715, 3840, 4975, 593, 4728, 476, 1839, 267, 476, 4489, 272, 267, 568, 2808, 547, 581, 835, 540, 519, 1034, 13249, 12469, 538, 519, 1686, 540, 1977, 2872, 269, 966, 16191, 1101, 16512, 2272, 540, 9769, 3919, 540, 519, 13549, 23194, 269, 898, 3576, 1896, 2395, 585, 1920, 2818, 547, 2697, 519, 9601, 267, 1082, 540, 7247, 941, 14616, 3564, 6284, 563, 763, 21121, 1744, 7398, 11445, 626, 31543, 9605, 269, 1452, 2238, 616, 4294, 547, 519, 4070, 2872, 2238, 543, 6703, 602, 1118, 909, 519, 1062, 547, 2061, 513, 3595, 269, 1452, 11082, 3357, 547, 519, 2136, 2276, 609, 741, 3885, 538, 3406, 585, 513, 1732, 1272, 269, 26269, 585, 6009, 729, 693, 606, 782, 942, 1164, 267, 2523, 538, 1715, 3840, 4975, 269, 5047, 267, 538, 476, 4489, 272, 267, 1977, 5980, 540, 8881, 19296, 729, 2813, 267, 799, 729, 519, 1101, 538, 519, 1158, 547, 1491, 1416, 540, 519, 1857, 3106, 267, 538, 519, 9036, 563, 763, 960, 1858, 568, 2356, 32036, 4765, 269, 594, 993, 1007, 693, 519, 960, 543, 519, 2062, 2006, 1085, 9529, 803, 513, 1390, 4308, 269, 13518, 540, 519, 10217, 10057, 2221, 568, 538, 519, 1106, 540, 6653, 10217, 267, 513, 4999, 540, 23342, 17571, 267, 23342, 7423, 610, 824, 3170, 267, 543, 4006, 269, 3509, 2959, 1118, 513, 6476, 540, 21121, 3595, 547, 519, 835, 693, 519, 918, 14575, 12051, 607, 713, 2337, 547, 1265, 519, 3020, 2601, 540, 519, 3595, 269, 6153, 5618, 2272, 540, 835, 4074, 17740, 656, 269, 634, 4600, 3330, 267, 1034, 540, 873, 6014, 2021, 267, 5249, 538, 4418, 1846, 7749, 2175, 1455, 547, 519, 2872, 693, 519, 942, 269, 6468, 538, 519, 22411, 547, 5029, 1125, 12275, 618, 20709, 267, 476, 6642, 271, 1765, 4489, 278, 563, 5472, 519, 942, 649, 616, 2324, 519, 20148, 15211, 1472, 6313, 519, 8737, 23157, 543, 1818, 721, 798, 873, 936, 1586, 952, 789, 616, 711, 1175, 1318, 269, 4107, 540, 873, 1223, 18923, 3717, 2296, 269, 4634, 811, 5747, 267, 9991, 547, 519, 31879, 269, 5502, 267, 789, 5185, 2729, 540, 8860, 6710, 543, 27337, 4328, 2324, 2175, 269, 4438, 519, 942, 267, 950, 519, 21121, 1744, 7398, 11445, 626, 31543, 1185, 30192, 883, 26428, 543, 14986, 1185, 23012, 1152, 547, 1265, 9887, 5275, 585, 513, 4960, 547, 979, 1394, 538, 543, 23074, 8575, 675, 523, 267, 7128, 1185, 7683, 5143, 1200, 547, 979, 1394, 547, 1200, 3237, 543, 3343, 4313, 689, 873, 269, 17619, 12912, 25845, 3131, 9469, 267, 519, 2212, 540, 519, 11633, 4972, 267, 607, 7022, 267, 5795, 1200, 519, 2022, 540, 10579, 540, 8534, 563, 10376, 1032, 267, 476, 277, 1321, 267, 1822, 4600, 267, 6140, 11082, 941, 7432, 856, 835, 2389, 5460, 540, 519, 4853, 3977, 540, 519, 2136, 2276, 269, 5808, 6785, 602, 519, 1715, 3840, 4975, 3595, 602, 3576, 1747, 593, 519, 1164, 19683, 540, 519, 1306, 577, 8490, 267, 1141, 519, 21121, 1744, 7398 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 10222, 921, 623, 7459, 269, 4438, 519, 1788, 779, 1101, 1079, 1296, 267, 476, 5038, 280, 3028, 7426, 4607, 2866, 538, 835, 610, 811, 540, 519, 7459, 269, 634, 1267, 729, 513, 1611, 540, 476, 4343, 269, 279, 8036, 7426, 829, 476, 2004, 267, 1822, 2551, 563, 22546, 338, 941, 12290, 676, 9236, 3466, 1063, 519, 6304, 543, 6476, 17521, 593, 1614, 10446, 6508, 2551, 10832, 269, 1452, 16198, 26857, 19250, 1713, 267, 1804, 2318, 2360, 269, 9737, 519, 1974, 1175, 1354, 6388, 543, 8938, 21144, 3275, 2663, 267, 6304, 17521, 2799, 538, 6086, 7007, 1126, 28915, 13015, 3928, 676, 1175, 476, 279, 2600, 267, 3379, 609, 476, 3374, 2600, 585, 519, 1852, 17521, 269, 4934, 6361, 25571, 1747, 906, 8519, 538, 6304, 17521, 676, 476, 1321, 2600, 855, 2799, 676, 476, 4510, 2600, 538, 1852, 17521, 269, 11233, 23504, 585, 1126, 7063, 8519, 676, 476, 1240, 2600, 538, 6304, 17521, 855, 2799, 676, 476, 736, 2600, 538, 1852, 17521, 269, 901, 1353, 568, 519, 1101, 547, 4351, 1125, 10923, 2127, 547, 6304, 543, 1852, 2175, 543, 1397, 15324, 2360, 593, 1126, 28915, 13015, 693, 513, 2551, 1377, 269, 4014, 891, 4681, 616, 11141, 267, 621, 3788, 15458, 875, 519, 1514, 6725, 267, 8471, 3028, 3091, 267, 543, 2866, 538, 519, 10222, 921, 623, 2203, 547, 1463, 3028, 7426, 1522, 723, 3812, 891, 2164, 269, 16952, 9382, 3823, 1761, 8390, 2066, 519, 6304, 543, 6476, 17521, 609, 2463, 547, 1312, 6388, 3646, 543, 4093, 568, 2877, 547, 1174, 811, 4628, 519, 6127, 998, 799, 10222, 921, 623, 1522, 1860, 28915, 13015, 3928, 563, 1805, 21880, 28517, 19198, 19541, 454, 763, 800, 540, 1689, 543, 6388, 454, 763, 16237, 28517, 19198, 19541, 630, 306, 293, 296, 28931, 2254, 547, 581, 11821, 609, 513, 16496, 1367, 1922, 13637, 1982, 547, 2061, 1126, 6057, 543, 1126, 1966, 2623, 3323, 676, 10127, 565, 918, 2794, 2536, 267, 849, 1572, 16237, 28517, 19198, 3953, 2443, 529, 2966, 547, 2569, 1126, 6057, 676, 7393, 519, 4390, 540, 1126, 1416, 7740, 543, 2038, 6304, 3292, 547, 2709, 3885, 519, 1489, 789, 991, 547, 2057, 3346, 609, 519, 1126, 10304, 1062, 269, 5381, 547, 519, 10222, 921, 623, 2203, 267, 16237, 28517, 19198, 849, 11394, 547, 1860, 2385, 2623, 676, 1210, 606, 4540, 3028, 6765, 1062, 269, 13018, 267, 24700, 296, 3096, 5059, 10526, 267, 2930, 6351, 267, 543, 10319, 26136, 547, 3986, 519, 4390, 540, 1126, 1416, 7740, 547, 3895, 2947, 4295, 8825, 2188, 1851, 741, 1982, 5171, 1765, 8001, 531, 6043, 267, 1514, 4296, 267, 1702, 540, 15970, 543, 1126, 1646, 267, 2565, 1489, 538, 2053, 540, 991, 267, 543, 1514, 543, 3929, 16169, 540, 1453, 269, 1635, 2679, 3347, 609, 3885, 267, 2038, 1416, 543, 2069, 3292, 666, 5431, 4191, 540, 2566, 543, 7794, 3885, 685, 8825, 2188, 609, 12905, 267, 2500, 948, 269, 9521, 3105, 2866, 543, 3872, 3646, 547, 4497, 1126, 1416, 4600, 538, 1126, 6057, 6604, 267, 24700, 296, 568, 4843, 607, 968, 2889, 12378, 6061, 892, 2864, 982, 968, 2889, 12378, 8446, 1848, 19198, 616, 9415, 547, 1174, 602, 952, 789, 723, 4145, 267, 789, 666, 979, 547, 1022, 5234, 4759, 693, 891, 7740, 543, 4309, 948, 610, 4287, 269, 1656, 952, 789, 616, 4080, 585, 16143, 28915, 13015, 267, 519, 1920, 666, 1293, 593, 519, 1126, 1416, 4099, 547, 4196, 607, 741, 12167, 609, 1126, 10304, 8387, 563, 1103, 476, 1220, 272, 267, 609, 7616, 689, 519, 16910, 529, 16099, 4077, 3386, 7690, 267, 519, 4741, 585, 519, 5530, 540, 4317, 8889, 630, 5425, 9915, 264, 3459, 4974, 519, 1909, 602, 2038, 1416, 543, 2069, 3292, 18487, 666, 1404, 538, 14304, 3885, 543, 7303, 6057, 543, 10714, 269, 2991, 3384, 519, 2949, 5943, 543, 1644, 2866, 2326, 267, 22898, 303, 8045, 519, 2203, 538, 5722, 2829, 593, 513, 12681, 4493, 269, 769, 1142, 1533, 267, 8387, 8476, 741, 4507, 543, 2853, 998, 5698, 1851, 741, 2038, 6689, 267, 1126, 6057, 6604, 267, 543, 1126, 8825, 2533, 9922, 269, 11153, 540, 519, 2829, 7471, 24700, 296, 779, 2947, 8825, 2188, 543, 519, 2994, 585, 8236, 873, 883, 519, 1533, 779, 1126, 1416, 2298, 12773, 543, 6454, 1949, 563, 300, 8221, 856, 540, 519, 12681, 5123, 267, 24700, 296, 814, 3376, 2989, 922, 1445, 3564, 2829, 685, 2038, 1416, 543, 2069, 3292, 547, 1331, 2679, 6402, 1063, 891, 3292, 543, 1126, 10304, 13623, 543, 2679, 519, 8825, 2188, 883, 519, 2866, 543, 5464, 1949, 12044, 1753, 2861, 1126, 1416, 7426, 269, 2311, 1459, 267, 8938, 31644, 2829, 616, 10283, 538, 519, 16237, 28517, 19198, 2817, 8416, 563, 306, 293, 296, 779, 3119, 13374, 585, 1689, 267, 7393, 8825, 2188, 1369, 3885, 609, 1762, 1453, 267, 814, 2178, 12170, 1489, 538, 1312, 2596, 543, 4294, 1382, 269, 3143, 835, 666, 10990, 602, 519, 11036, 779, 1883, 8825, 2188, 267, 952, 538, 1747, 543, 7347, 267, 616, 2693, 547, 2569, 519, 12918, 540, 3237, 685, 705, 6748, 610, 10714, 532, 741, 1453, 269, 14268, 945, 723, 2178, 1514, 4296, 267, 1702, 540, 1126, 1646, 267, 543, 513, 2631, 540, 2123, 12117, 616, 8197, 1851, 1346, 945, 723, 519, 1034, 14785, 3347, 609, 741, 1453, 267, 543, 891, 1453, 616, 811, 2693, 547, 723, 2178, 1582, 12656, 8526, 543, 7347, 5042, 543, 1514, 1646, 269, 4982, 958, 8903, 568, 2963, 602, 27350, 538, 1164, 7779, 2038, 2069, 3292, 267, 3226, 1346, 602, 32433, 1453, 779, 2533, 609, 1463, 1489, 547, 3237, 267, 723, 22905, 7525, 543, 1279, 3856, 2360, 593, 1126, 543, 1920, 4093, 267, 1519, 519, 6604, 540, 1126, 6057, 269, 3451, 454, 8601, 519, 7811, 9153, 540, 713, 1935, 267, 621, 568, 15458, 2436, 891, 2010, 540, 1126, 543, 1920, 4093, 666, 581, 6913, 998, 24700, 296, 779, 6388, 1544, 269, 14520, 2609, 540, 519, 3069, 1590, 1869, 581, 11567, 269, 634, 1101, 568, 10054, 3823, 519, 1297, 540, 1126, 1416, 7740, 609, 519, 4390, 543, 8404, 547, 4497, 538, 519, 1826, 540, 1582, 26190, 543, 2259, 1689, 2838, 547, 9772, 4628, 513, 1445, 593, 7393, 8825, 2188, 269, 634, 2034, 568, 519, 3661, 602, 1126, 1416, 7740, 723, 3346, 609, 1804, 2338, 540, 3885, 945, 991, 713, 1826, 540, 6351, 547, 2057, 6057, 269, 634, 3791, 568, 519, 3661, 602, 519, 2078, 540, 1126, 1416, 7740, 609, 3885, 568, 18481, 7347, 547, 2743, 519, 2115, 540, 519, 1164, 16151, 3885, 789, 798, 7237, 269, 634, 8772, 568, 519, 2070, 602, 1514, 5121, 3710, 1472, 1126, 1416, 7740, 666, 3337, 29708, 4441, 3823, 875, 547, 1416, 585, 513, 1126, 267, 607, 10353, 267, 585, 1383, 267, 547, 8806, 10452, 4540, 4441, 602, 949, 610, 949, 711, 581, 3617, 269, 634, 11359, 568, 519, 13429, 602, 1126, 1416, 7740, 723, 1569, 547, 519, 5044, 543, 7274, 540, 1570, 1489, 543, 2790, 1072, 2533, 602, 3885, 949, 991, 610, 7662, 269, 1656, 519, 15795, 568, 519, 13429, 602, 3885, 723, 6074, 513, 2016, 1126, 1416, 4099, 689, 606, 5044, 540, 2139, 3681, 543, 4061, 723, 513, 811, 2123, 2078, 609, 741, 1416, 8502, 982, 789, 798, 609, 824, 3028, 7426, 269, 4014, 519, 1982, 814, 23278, 4973, 2963, 547, 1489, 782, 540, 891, 10054, 267, 519, 2702, 540, 519, 24700, 296, 547, 3035, 29708, 1689, 1369, 2199, 1126, 1416, 543, 2038, 1416, 5121, 543, 547, 1683, 3885, 609, 6190, 1489, 547, 2569, 28915, 13015, 3928, 3788, 2150, 6479, 269, 1703, 616, 1100, 3370, 5359, 540, 1982, 12117, 1210, 513, 11826, 1374, 543, 1100, 1634, 8062, 896, 1259, 563, 291, 584, 5069, 7731, 19541, 454, 763, 800, 540, 1689, 543, 6388, 454, 763, 20736, 5069, 7731, 19541, 630, 5263, 296, 264, 568, 513, 2551, 17253, 4674, 547, 4228, 519, 11007, 543, 9165, 540, 8471, 10526, 2966, 547, 2697, 1164, 16151, 3885, 610, 1346, 17596, 6604, 2533, 543, 1287, 547, 3095, 873, 609, 3617, 2146, 2861, 2200, 269, 4097, 898, 814, 1079, 3853, 269, 2290, 568, 547, 3986, 2146, 1514, 543, 3318, 3854, 543, 2087, 2146, 4390, 547, 1683, 2963, 2861, 2200, 547, 3885, 269, 634, 824, 568, 547, 2333, 3885, 685, 2702, 547, 1569, 2146, 2200, 269, 1677, 3914, 891, 3853, 621, 6212, 593, 8471, 4879, 543, 29748, 269, 12878, 2082, 609, 7616, 689, 519, 16099, 7736, 578, 618, 538, 476, 1220, 273, 267, 519, 11036, 29102, 602, 1126, 6057, 568, 1655, 15286, 676, 5466, 519, 1981, 2188, 543, 7496, 602, 1860, 519, 2635, 1646, 540, 2385, 30512, 3347, 269, 22685, 1154, 606, 8733, 5133, 267, 667, 293, 296, 1568, 547, 7794, 543, 4228, 519, 7535, 540, 2139, 2963, 2861, 1463, 2533, 267, 547, 2697, 543, 5150, 6209, 1857, 3609, 15024, 267, 543, 547, 1628, 2199, 2146, 4390, 269, 4706, 2238, 2887, 883, 2185, 1292, 2127, 269, 3689, 267, 621, 11942, 2199, 954, 698, 1890, 9316, 3823, 10073, 540, 513, 20291, 543, 5812, 15324, 1062, 540, 1416, 269, 5822, 267, 621, 4679, 1514, 3854, 1369, 513, 1297, 540, 20736, 5069, 2749, 16973, 998, 519, 6098, 946, 540, 23793, 4600, 543, 2146, 6278, 2238, 269, 12059, 267, 621, 10953, 543, 4255, 5499, 1463, 3028, 3631, 547, 2087, 4093, 609, 1164, 16151, 3885, 610, 1346, 2907, 3238, 538, 6057, 610, 10714, 267, 1247, 849, 2810, 7028, 585, 1164, 16151, 1007, 3237, 998, 2038, 8446, 543, 3028, 3277, 23552, 269, 7053, 267, 621, 15024, 10315, 543, 1533, 4507, 7133, 519, 8244, 543, 2298, 540, 1126, 10304, 543, 1126, 4027, 2533, 563, 3080, 540, 667, 293, 296, 779, 1034, 8037, 2934, 814, 1044, 922, 3646, 547, 20741, 2199, 954, 698, 1890, 9316, 676, 3384, 519, 3102, 20736, 5069, 3590, 540, 5516, 630, 4178, 6155, 584, 5069, 17882, 1993, 3249, 3820, 1070, 606, 7471, 3060, 540, 2146, 2533, 543, 2200, 547, 948, 3885, 2743, 519, 2115, 540, 1453, 609, 3978, 267, 1950, 8965, 267, 4081, 267, 1514, 267, 543, 3106, 2115, 269, 898, 568, 1759, 593, 519, 2070, 602, 1883, 1857, 543, 4357, 1072, 543, 1480, 3028, 8041, 1590, 2671, 513, 13618, 593, 875, 1655, 547, 2697, 267, 4497, 267, 543, 2743, 519, 2115, 540, 30223, 1453, 543, 741, 3885, 269, 901, 13618, 814, 2919, 7930, 267, 4098, 538, 476, 1220, 273, 609, 3355, 11401, 1851, 1883, 8116, 19971, 543, 741, 1647, 2359, 269, 8490, 593, 3347, 3964, 1282, 891, 11401, 267, 519, 4674, 814, 9450, 547, 1683, 3069, 3562, 1790, 15462, 2866, 2066, 513, 3309, 1305, 540, 2199, 8041, 543, 2146, 4648, 269, 4107, 5063, 267, 1788, 5234, 2818, 19443, 519, 2199, 1062, 540, 1416, 5718, 2319, 538, 1603, 513, 3444, 268, 698, 1890, 8261, 267, 3384, 513, 2298, 6454, 543, 6268, 1544, 267, 543, 9750, 519, 1062, 540, 1416, 547, 1331, 606, 2937, 1445, 269, 5741, 5234, 2818, 849, 723, 1031, 519, 4245, 4121, 689, 741, 5698, 1369, 20736, 5069, 6019, 547, 12167, 543, 1489, 1533, 4204, 15024, 563, 763, 1445, 593, 5698, 543, 4390, 2679, 814, 1044, 10630, 538, 519, 1788, 779, 960, 1369, 922, 6098, 3028, 2950, 538, 519, 2749, 540, 20736, 5069, 269, 769, 519, 2038, 3942, 540, 6388, 267, 667, 293, 296, 6462, 513, 1297, 540, 2146, 4891, 610, 23793, 4600, 538, 1614, 540, 519, 1788, 779, 3670, 3077, 16973, 269, 1452, 23793, 4600, 10356, 1344, 827, 8378, 7264, 543, 2200, 267, 3710, 3347, 1851, 7264, 267, 543, 2919, 8378, 968, 974, 4461, 892, 547, 2232, 1808, 2152, 540, 1164, 1719, 610, 6161, 547, 2199, 7264, 269, 634, 1184, 6383, 971, 8378, 3785, 607, 2146, 1554, 2238, 267, 4199, 7740, 267, 1893, 5049, 267, 8378, 4585, 3292, 267, 543, 6595, 1426, 543, 7802, 3892, 7740, 269, 2859, 5063, 267, 3646, 547, 7794, 519, 13016, 1949, 540, 1489, 1851, 2199, 7264, 538, 891, 2950, 723, 1044, 27838, 998, 513, 5718, 2866, 1982, 2919, 538, 11450, 609, 519, 20736, 5069, 24184, 16958, 543, 667, 293, 296, 3646, 547, 15313, 267, 5721, 267, 543, 3095, 20516, 338, 538, 519, 2146, 547, 2021, 10010, 609, 519, 1416, 540, 1762, 1453, 563, 5263, 296, 779, 1034, 16529, 4674, 568, 20736, 5069, 4045, 338, 267, 513, 2487, 3801, 547, 2708, 519, 2115, 540, 782, 29507, 543, 741, 3885, 538, 20736, 5069, 6019, 543, 1287, 547, 3095, 873, 609, 7028, 547, 2232, 741, 2115, 269, 15815, 7627, 3459, 538, 5147, 476, 1220, 278, 267, 950, 667, 293, 296, 3459, 4058, 606, 10728, 5859, 547, 1683, 606, 3355, 4879, 543, 7520, 3617, 3028, 3095, 1137, 585, 519, 6059, 476, 275, 267, 1822, 9002, 4535, 1142, 1032, 538, 519, 10315, 269, 20736, 5069, 4045, 338, 786, 581, 21910, 539, 5196, 4540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8790, 659, 668, 26163, 269, 901, 7634, 2636, 547, 4766, 519, 18343, 1184, 689, 519, 5277, 3940, 3070, 547, 519, 8737, 1587, 563, 27066, 281, 670, 6425, 5652, 267, 3933, 11986, 269, 25080, 16982, 1353, 540, 519, 17178, 13605, 327, 10042, 1196, 592, 529, 543, 922, 5277, 8749, 1467, 16536, 269, 19837, 269, 661, 8025, 2098, 584, 747, 267, 476, 1220, 277, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 4375, 273, 280, 270, 996, 345, 8584, 268, 18089, 4281, 273, 6812, 272, 269, 0, 26045, 1072, 5829, 27964, 2099, 875, 2790, 1072, 814, 1044, 3989, 267, 28078, 267, 543, 22412, 730, 1369, 2486, 269, 1452, 27964, 723, 1044, 8032, 543, 9112, 676, 1585, 2043, 267, 2516, 267, 543, 5238, 543, 723, 1152, 5063, 3323, 547, 581, 8947, 18928, 563, 763, 2622, 2657, 9257, 11225, 968, 11365, 1072, 892, 607, 968, 320, 1533, 540, 1134, 5630, 538, 799, 1169, 1367, 30877, 1010, 610, 1200, 1378, 1761, 267, 666, 11883, 609, 519, 3339, 17613, 540, 1272, 267, 666, 960, 1587, 1947, 543, 4829, 2685, 267, 543, 568, 2111, 547, 1118, 513, 9295, 547, 1200, 610, 1010, 2146, 892, 630, 1001, 278, 267, 533, 269, 476, 272, 1040, 4935, 267, 519, 936, 31186, 3804, 540, 2790, 1072, 5829, 27964, 568, 547, 3895, 2790, 1072, 610, 3079, 2061, 2790, 4576, 563, 25748, 267, 972, 814, 1044, 606, 2333, 538, 1312, 14046, 543, 2923, 3007, 547, 2790, 1072, 5829, 27964, 269, 1452, 27964, 12732, 519, 8552, 540, 1585, 2790, 1072, 4610, 267, 1519, 6530, 267, 2618, 17226, 267, 1514, 960, 267, 543, 2069, 269, 634, 1888, 814, 1831, 7986, 1813, 547, 519, 2487, 15399, 1157, 538, 11980, 3928, 1312, 538, 519, 772, 2529, 543, 11451, 267, 799, 814, 3366, 547, 14223, 3646, 543, 2799, 2790, 1072, 4656, 563, 763, 2790, 1072, 2146, 779, 3646, 547, 1201, 9347, 543, 18534, 1901, 519, 6643, 1472, 2790, 1072, 616, 1271, 269, 634, 7391, 538, 2790, 1072, 5624, 1590, 2760, 6336, 8289, 540, 713, 543, 1590, 3079, 2141, 960, 547, 1832, 2790, 1072, 693, 519, 4295, 543, 4099, 540, 938, 5717, 543, 3527, 269, 634, 2790, 1072, 2361, 1058, 11349, 7391, 602, 5000, 513, 3152, 1620, 543, 10343, 540, 1004, 779, 2790, 1072, 2833, 676, 20678, 547, 2087, 16111, 563, 1103, 1022, 2016, 1032, 267, 1977, 4079, 543, 5176, 476, 2412, 260, 540, 4079, 6560, 609, 513, 2790, 1072, 2783, 693, 930, 1448, 538, 741, 2729, 269, 1452, 7194, 723, 1831, 5051, 11342, 936, 519, 2063, 476, 736, 1296, 267, 543, 2790, 1072, 4713, 1860, 1004, 540, 782, 6502, 267, 14797, 267, 543, 14227, 10080, 563, 26045, 1072, 568, 606, 3390, 602, 4145, 782, 540, 721, 267, 1256, 1346, 540, 721, 1510, 2123, 2833, 609, 2790, 4576, 269, 1809, 875, 798, 649, 979, 827, 2348, 519, 6643, 827, 2790, 1072, 286, 9701, 649, 581, 6158, 827, 2790, 4576, 693, 782, 888, 763, 2956, 540, 2790, 1072, 5829, 11407, 814, 1044, 5051, 15091, 9624, 519, 2487, 2797, 12416, 269, 2060, 7368, 2736, 23957, 540, 524, 643, 1006, 267, 5208, 543, 851, 16388, 2623, 4742, 5051, 11342, 538, 3013, 267, 2790, 1072, 814, 1831, 513, 3905, 569, 29653, 1888, 269, 1717, 267, 519, 4339, 585, 2790, 1072, 4656, 814, 1044, 606, 5571, 3350, 585, 1296, 563, 763, 936, 26511, 16663, 540, 2790, 4576, 814, 15286, 1004, 689, 2965, 16153, 1154, 789, 991, 948, 538, 2221, 779, 2486, 269, 1809, 267, 1256, 952, 1004, 616, 4098, 547, 3343, 2126, 585, 741, 2790, 1072, 2042, 267, 972, 568, 1869, 865, 1454, 16663, 4478, 2790, 4576, 602, 621, 568, 1869, 2352, 585, 1004, 547, 1930, 909, 827, 621, 269, 2368, 798, 267, 930, 1810, 1406, 563, 293, 3658, 540, 2790, 1072, 616, 3395, 267, 543, 2790, 1072, 5829, 27964, 616, 9750, 2059, 609, 621, 269, 634, 1297, 540, 2790, 10108, 543, 2589, 814, 2799, 936, 942, 607, 649, 723, 4121, 811, 827, 873, 267, 711, 547, 2446, 811, 2645, 547, 13209, 543, 1521, 873, 269, 1656, 267, 540, 1576, 267, 609, 2221, 779, 5769, 267, 621, 779, 2760, 1044, 4443, 547, 723, 513, 2518, 6643, 827, 2790, 1072, 269, 1809, 568, 713, 513, 1434, 3364, 267, 610, 616, 649, 9561, 3407, 5380, 543, 1344, 888, 26045, 1072, 5829, 27964, 630, 11365, 1072, 7391, 264, 616, 606, 1271, 28627, 998, 799, 1004, 4497, 609, 2152, 1644, 547, 2790, 1072, 269, 901, 7154, 540, 2792, 6585, 1312, 1379, 547, 3310, 1857, 11994, 607, 1134, 607, 519, 1761, 547, 2014, 2800, 269, 634, 2081, 538, 799, 2790, 1072, 5829, 27964, 616, 9112, 267, 3989, 267, 543, 21892, 616, 1271, 538, 1620, 519, 1909, 540, 2790, 1072, 538, 519, 3376, 1857, 12106, 563, 4322, 27964, 616, 519, 9055, 998, 799, 2790, 1072, 568, 28078, 543, 28078, 827, 269, 1358, 1118, 8763, 610, 17697, 6811, 827, 1018, 568, 968, 7538, 892, 543, 968, 514, 1228, 12930, 2223, 543, 538, 865, 3257, 267, 789, 3337, 875, 649, 1174, 267, 6330, 267, 543, 1521, 2790, 4576, 269, 2859, 4481, 267, 27964, 3049, 883, 875, 649, 3717, 827, 543, 2070, 2790, 1072, 267, 543, 789, 3313, 1018, 543, 875, 2790, 1072, 2533, 616, 15600, 269, 0, 763, 4317, 3590, 540, 519, 2098, 15252, 267, 1101, 3370, 538, 476, 4350, 277, 267, 814, 1831, 835, 540, 519, 3044, 2835, 593, 519, 645, 656, 340, 543, 3788, 519, 1152, 2347, 543, 9836, 2272, 540, 519, 1272, 543, 9821, 540, 519, 1034, 11509, 543, 1655, 1634, 3162, 3979, 14316, 269, 634, 1433, 6799, 2098, 21343, 2528, 543, 2486, 7361, 607, 621, 729, 1354, 519, 1764, 540, 5375, 10340, 269, 634, 2278, 267, 513, 1134, 8153, 3162, 3979, 10236, 6048, 563, 5141, 1054, 593, 8274, 269, 16448, 281, 15020, 6153, 269, 2902, 958, 1863, 689, 1022, 13504, 1202, 18587, 269, 28545, 10793, 564, 16448, 281, 12876, 12458, 2071, 267, 855, 16856, 267, 1631, 538, 513, 8825, 1591, 2684, 2033, 3382, 585, 3063, 4027, 269, 1107, 590, 2775, 569, 15808, 645, 22981, 269, 12059, 9990, 269, 476, 22213, 3817, 269, 20056, 550, 267, 17401, 3808, 5299, 269, 12039, 267, 12383, 543, 7851, 269, 9664, 5594, 512, 10165, 609, 2085, 269, 901, 12575, 1470, 568, 476, 274, 6113, 8228, 476, 4198, 278, 0, 2252, 596, 723, 1569, 547, 2290, 300, 710, 607, 851, 540, 513, 4759, 4324, 267, 2845, 538, 998, 707, 4759, 7681, 3896, 585, 513, 15774, 3593, 1995, 563, 24820, 5650, 814, 1044, 2919, 585, 519, 8851, 540, 13058, 689, 3679, 3435, 5627, 11956, 267, 13339, 267, 7513, 267, 13101, 267, 9770, 267, 11379, 543, 22670, 12274, 543, 1164, 9830, 540, 17296, 12274, 269, 634, 1101, 1900, 540, 519, 5650, 3322, 519, 13247, 540, 11956, 543, 13339, 693, 9063, 476, 275, 269, 273, 269, 634, 2034, 1900, 267, 519, 8851, 540, 519, 13058, 607, 13058, 12547, 267, 729, 6594, 538, 1469, 547, 1205, 538, 268, 8289, 883, 519, 5250, 540, 3404, 344, 18608, 1938, 269, 589, 6516, 729, 2919, 4758, 519, 2175, 693, 476, 4037, 302, 595, 896, 799, 519, 5250, 540, 3404, 344, 18608, 1938, 568, 14284, 269, 7201, 6099, 2175, 513, 13058, 12547, 609, 1447, 982, 476, 271, 269, 276, 2597, 2600, 540, 17296, 666, 581, 3812, 689, 476, 1556, 910, 476, 1626, 575, 15828, 17296, 3435, 269, 347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 789, 1058, 1205, 519, 1216, 9497, 5575, 267, 1930, 519, 22277, 29389, 267, 3092, 12175, 2334, 781, 519, 9759, 540, 3616, 541, 894, 5752, 2439, 5331, 9013, 513, 8773, 3957, 7605, 344, 547, 2721, 1114, 5546, 593, 1957, 269, 5502, 540, 10213, 7605, 344, 4010, 875, 547, 1847, 922, 6186, 267, 649, 666, 946, 3616, 541, 894, 5752, 547, 3274, 2161, 1018, 3337, 649, 1616, 1864, 547, 1711, 269, 1280, 1383, 267, 952, 649, 4941, 7605, 344, 547, 2721, 513, 4009, 267, 649, 1223, 2328, 3009, 899, 713, 1384, 9526, 5334, 13645, 263, 21659, 344, 5148, 12262, 15681, 338, 7605, 344, 547, 2721, 513, 4009, 692, 763, 1599, 2387, 9526, 5334, 13645, 319, 1131, 2270, 782, 519, 1344, 2877, 585, 7605, 344, 547, 917, 1141, 547, 1747, 1010, 4050, 267, 1018, 7285, 547, 2490, 267, 543, 865, 8521, 269, 1284, 1810, 1405, 991, 547, 5855, 827, 1346, 3877, 1317, 519, 1599, 20362, 3388, 585, 721, 269, 1635, 3246, 2241, 12981, 899, 891, 267, 649, 666, 1445, 811, 593, 6061, 2042, 543, 1447, 593, 5883, 1970, 7400, 4247, 780, 3086, 1577, 781, 1589, 1394, 547, 519, 4367, 540, 938, 3992, 269, 1411, 1522, 3314, 2542, 827, 918, 22202, 653, 534, 623, 269, 1325, 1952, 520, 543, 741, 2828, 945, 941, 2324, 593, 1945, 1007, 693, 519, 14664, 5604, 269, 2755, 789, 14201, 1405, 4481, 3384, 513, 3616, 541, 894, 5752, 1893, 267, 741, 960, 8711, 1946, 971, 2645, 616, 1271, 538, 7384, 269, 1306, 2029, 8441, 267, 3425, 3136, 6427, 532, 3860, 2081, 547, 2170, 609, 6191, 267, 1818, 8193, 4443, 543, 811, 16022, 269, 634, 1523, 3297, 3616, 541, 894, 5752, 2636, 1004, 609, 3309, 10080, 547, 4194, 1950, 2042, 676, 14379, 5693, 609, 741, 3059, 15274, 269, 1924, 1985, 942, 596, 2097, 2066, 513, 3579, 813, 610, 3014, 267, 4952, 2348, 5129, 513, 851, 538, 2870, 621, 3054, 998, 3532, 2943, 2653, 3562, 14025, 4654, 1759, 593, 2035, 2147, 547, 3616, 541, 894, 5752, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 556, 1325, 1952, 520, 454, 308, 2529, 269, 7040, 540, 2561, 324, 1023, 8549, 18065, 454, 20809, 476, 3066, 267, 476, 1960, 275, 454, 3451, 674, 269, 274, 323, 476, 13923, 277, 267, 476, 4029, 2475, 303, 304, 273, 323, 476, 15150, 276, 454, 23613, 267, 808, 1421, 609, 7247, 281, 607, 547, 3487, 594, 630, 297, 9766, 323, 2109, 2567, 1715, 2006, 267, 7200, 4471, 267, 543, 7101, 518, 267, 808, 297, 1421, 6443, 282, 1488, 7815, 267, 595, 12282, 1421, 715, 625, 267, 543, 1773, 4526, 267, 808, 297, 1421, 598, 2017, 538, 3932, 282, 543, 2904, 518, 267, 18466, 267, 595, 4582, 10152, 267, 543, 5576, 718, 267, 808, 297, 1421, 29926, 282, 543, 607, 547, 3487, 4083, 630, 30560, 1080, 2567, 1715, 2006, 267, 7200, 4471, 267, 18466, 267, 1773, 4526, 267, 543, 7101, 518, 267, 808, 297, 1421, 6443, 282, 1488, 7815, 267, 595, 12282, 1421, 543, 715, 625, 267, 808, 1421, 29926, 282, 543, 2904, 518, 267, 595, 4582, 10152, 267, 543, 5576, 718, 267, 808, 297, 1421, 1491, 1100, 2990, 563, 298, 22202, 653, 534, 623, 269, 1325, 1952, 520, 267, 11977, 661, 269, 589, 591, 650, 267, 543, 6276, 717, 269, 700, 1513, 523, 630, 3712, 937, 1947, 1325, 1952, 520, 264, 9029, 519, 4989, 476, 2420, 267, 476, 1960, 273, 267, 556, 4621, 573, 3130, 3375, 540, 519, 8274, 540, 30171, 2561, 324, 1023, 543, 3955, 325, 3720, 630, 32317, 264, 540, 519, 2136, 2276, 30171, 543, 570, 2784, 655, 1046, 8433, 630, 8976, 302, 1070, 1401, 3487, 324, 1325, 1952, 520, 267, 476, 2537, 2475, 303, 304, 273, 323, 476, 16328, 271, 630, 289, 5183, 296, 267, 476, 1960, 273, 1070, 799, 13455, 519, 1401, 3133, 518, 779, 18349, 540, 6811, 476, 1428, 268, 866, 540, 3498, 5395, 658, 3143, 269, 476, 5881, 270, 14983, 267, 8064, 273, 630, 8072, 8064, 273, 3498, 264, 607, 1373, 796, 6312, 550, 762, 896, 476, 3374, 772, 2529, 5861, 269, 8791, 476, 6200, 630, 2735, 279, 1916, 1607, 5480, 1590, 3313, 2436, 519, 8274, 779, 556, 29264, 10620, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 19932, 1315, 4937, 1315, 13207, 541, 894, 14691, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6637, 281, 4197, 5274, 1143, 1299, 4168, 5274, 1143, 692, 5331, 952, 596, 1223, 948, 4688, 519, 4541, 543, 782, 2713, 1919, 256, 2334, 781, 513, 2462, 5539, 267, 855, 1169, 1268, 814, 519, 1379, 547, 1118, 513, 3017, 269, 1677, 1174, 875, 267, 1577, 781, 2263, 1079, 10952, 5322, 281, 5274, 1143, 543, 4168, 5274, 1143, 269, 5637, 3494, 602, 1004, 723, 519, 2702, 543, 5539, 547, 3337, 938, 1158, 585, 519, 1732, 269, 2913, 781, 4685, 883, 891, 2093, 2439, 1262, 14549, 1143, 1262, 568, 513, 6138, 602, 12662, 1004, 1101, 269, 898, 11363, 2601, 267, 8296, 267, 543, 8103, 781, 1761, 547, 1711, 513, 1732, 1158, 998, 1367, 543, 7104, 3646, 269, 5274, 1235, 1445, 593, 713, 1272, 267, 1934, 543, 1631, 267, 2864, 982, 20468, 827, 519, 1310, 5158, 269, 1358, 1871, 2069, 267, 2565, 3206, 267, 543, 2257, 547, 4194, 2042, 269, 1635, 1620, 6000, 543, 519, 7122, 267, 789, 2161, 267, 649, 666, 2661, 2407, 518, 543, 18668, 2729, 1247, 1818, 519, 1158, 513, 2186, 518, 1747, 780, 265, 7078, 17041, 14597, 707, 3659, 6499, 547, 1628, 513, 2146, 4677, 269, 589, 1480, 626, 1522, 1489, 713, 2856, 1317, 621, 6770, 1004, 1927, 267, 11414, 873, 1007, 1983, 267, 543, 2488, 4195, 1426, 1765, 718, 2318, 4093, 9141, 676, 1480, 2962, 780, 3086, 267, 2878, 22146, 5274, 1143, 1262, 10905, 1480, 2065, 3741, 609, 4168, 4978, 269, 1520, 6254, 338, 1589, 602, 5132, 543, 2601, 979, 1688, 538, 1688, 282, 3909, 2418, 899, 2648, 267, 19807, 267, 543, 21548, 10802, 938, 2729, 543, 3391, 721, 547, 581, 5683, 543, 3743, 3425, 269, 10271, 8026, 1480, 1143, 849, 1416, 7184, 827, 1514, 5126, 543, 2825, 19642, 269, 1358, 1294, 2921, 1416, 540, 519, 3047, 543, 922, 11317, 607, 851, 540, 741, 5289, 10279, 780, 265, 7078, 15846, 1403, 2576, 1739, 4168, 5274, 1143, 12034, 5533, 9292, 1154, 741, 8378, 267, 789, 949, 10891, 2973, 5725, 267, 12167, 585, 10357, 7888, 4507, 267, 543, 7618, 1866, 602, 2696, 2813, 519, 3047, 543, 12981, 721, 547, 2149, 621, 630, 7049, 8412, 476, 273, 281, 1428, 6393, 4131, 781, 1921, 891, 2035, 547, 519, 1349, 596, 1224, 4505, 269, 634, 16159, 5018, 972, 267, 3220, 269, 24053, 5062, 303, 1667, 517, 267, 6212, 593, 23589, 2916, 1689, 543, 922, 1764, 593, 782, 1272, 3029, 269, 9282, 711, 4481, 13615, 547, 5274, 1143, 610, 4168, 5274, 1143, 267, 1010, 960, 8843, 10486, 609, 1312, 269, 3807, 899, 5274, 1235, 267, 646, 3096, 3621, 1382, 547, 1174, 938, 4657, 2916, 543, 9060, 3435, 1759, 593, 5013, 543, 7954, 269, 6684, 267, 4168, 5274, 1235, 1131, 3858, 602, 7863, 519, 1604, 20383, 609, 741, 3661, 538, 1373, 1434, 12403, 1841, 540, 2696, 781, 5137, 780, 1103, 3932, 267, 2436, 596, 2697, 609, 5274, 1143, 267, 4168, 5274, 1143, 267, 610, 1776, 6138, 267, 3314, 602, 3025, 814, 513, 1909, 538, 5466, 2152, 899, 2916, 1689, 269, 1635, 3024, 532, 1702, 267, 6568, 267, 543, 9316, 267, 649, 666, 6536, 513, 8902, 4541, 585, 5481, 547, 2097, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 18907, 476, 2190, 267, 476, 1708, 274, 454, 9288, 7566, 1948, 476, 274, 267, 278, 2420, 910, 3220, 269, 24053, 5062, 303, 1667, 517, 454, 11854, 6033, 2829, 602, 646, 968, 15884, 4766, 519, 1699, 1533, 540, 27643, 2916, 1689, 267, 607, 5462, 676, 824, 5640, 543, 741, 9263, 24595, 4574, 269, 8693, 1689, 13514, 606, 16650, 3463, 547, 782, 1272, 593, 3047, 269, 1215, 666, 649, 4431, 267, 607, 2043, 543, 607, 513, 2146, 18313, 7804, 269, 24053, 5062, 303, 1667, 517, 568, 606, 18368, 6444, 10584, 267, 8366, 20421, 10196, 267, 543, 519, 1158, 779, 3056, 6392, 593, 23589, 2916, 1689, 3056, 547, 2282, 3856, 1480, 14486, 269, 7905, 9622, 7978, 540, 5726, 7350, 693, 519, 2160, 540, 14151, 267, 5062, 303, 1667, 517, 5030, 1055, 3766, 5090, 585, 811, 982, 513, 8717, 269, 3571, 3370, 1568, 1331, 811, 982, 513, 18797, 2835, 543, 7366, 540, 14046, 4930, 269, 7905, 5062, 303, 1667, 517, 814, 1044, 12286, 593, 8613, 543, 5925, 543, 538, 1896, 17245, 8874, 269, 1261, 568, 513, 5816, 3455, 543, 2686, 10404, 945, 14753, 547, 2489, 9458, 1472, 519, 8608, 267, 543, 547, 3744, 267, 1053, 267, 7855, 267, 543, 711, 16519, 17416, 543, 1870, 3401, 945, 3343, 741, 1655, 513, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 6579, 5308, 8008, 14176, 1315, 28073, 1315, 5274, 1143, 1315, 4168, 5274, 1143, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3544, 519, 4928, 563, 276, 269, 2608, 29222, 256, 265, 7831, 855, 6157, 711, 2547, 267, 2324, 609, 966, 299, 10485, 1949, 568, 11212, 19278, 256, 898, 3091, 3586, 3255, 547, 512, 28310, 267, 4603, 267, 543, 3048, 622, 269, 1656, 30971, 267, 945, 3085, 1405, 2648, 4730, 1472, 609, 5969, 12967, 2029, 31841, 3383, 267, 1631, 602, 596, 917, 1946, 966, 299, 10485, 1949, 2339, 267, 1577, 781, 7914, 1318, 883, 519, 2962, 2439, 1262, 4089, 476, 272, 269, 274, 269, 274, 281, 1215, 1772, 901, 6092, 13419, 3293, 15140, 5978, 1576, 5161, 540, 1896, 11271, 267, 1142, 2519, 593, 1114, 3344, 540, 966, 299, 10485, 1949, 269, 3962, 3184, 2882, 2789, 6810, 547, 2736, 1524, 7294, 3584, 883, 19242, 25098, 269, 10801, 1142, 3296, 267, 596, 3513, 1265, 5363, 12383, 267, 9159, 2984, 267, 543, 7317, 2238, 2966, 547, 1832, 596, 7722, 543, 12592, 780, 4263, 519, 1439, 540, 1034, 11271, 267, 596, 3513, 7237, 513, 2189, 4161, 1572, 834, 19061, 5384, 10590, 4438, 891, 7886, 267, 596, 3513, 2322, 707, 16012, 1702, 547, 519, 1449, 676, 21365, 3078, 1483, 8996, 2042, 269, 5213, 1405, 5855, 1107, 649, 4465, 1405, 12235, 596, 883, 519, 2620, 1439, 1510, 5583, 269, 5502, 267, 649, 3513, 1683, 2312, 5528, 267, 1489, 2326, 267, 543, 17074, 547, 2327, 707, 1967, 780, 12234, 267, 20057, 1194, 2429, 519, 1576, 267, 596, 3513, 1265, 834, 12441, 1411, 5700, 8119, 10833, 10223, 4277, 5013, 543, 22619, 23605, 1644, 547, 519, 1543, 269, 5901, 606, 3750, 856, 585, 873, 282, 789, 1522, 2270, 11580, 547, 12260, 6456, 10781, 610, 22429, 2798, 2439, 7661, 267, 1810, 1405, 7340, 547, 2638, 856, 938, 7874, 544, 2444, 582, 267, 932, 2089, 344, 519, 3690, 626, 528, 267, 945, 786, 1402, 909, 12212, 547, 2709, 4388, 267, 15361, 267, 543, 24668, 269, 5457, 267, 1565, 827, 966, 299, 10485, 1949, 12582, 1405, 1745, 899, 513, 25287, 1107, 621, 1058, 581, 606, 17938, 1791, 908, 1995, 2407, 540, 17409, 543, 7772, 2439, 1262, 4089, 476, 272, 269, 274, 269, 275, 281, 15775, 29035, 4373, 3086, 602, 596, 723, 513, 4396, 9787, 540, 1018, 547, 2503, 689, 713, 1576, 267, 621, 781, 942, 547, 5066, 909, 707, 19492, 1407, 543, 4685, 2212, 14140, 883, 519, 8748, 1158, 540, 966, 299, 10485, 1949, 269, 6969, 596, 1376, 3695, 519, 4241, 3584, 6619, 267, 1934, 616, 513, 1906, 10372, 547, 1305, 3054, 909, 585, 1967, 1384, 272, 269, 8073, 513, 6131, 29683, 1141, 596, 666, 1445, 593, 707, 2090, 1510, 19240, 269, 5269, 2386, 621, 781, 6899, 267, 1134, 2000, 527, 267, 543, 6006, 539, 609, 782, 2556, 7727, 563, 273, 269, 5590, 24276, 3853, 585, 1142, 1353, 8400, 269, 16505, 3677, 4247, 883, 4130, 19325, 267, 543, 8007, 3054, 950, 596, 3914, 873, 563, 274, 269, 11622, 622, 609, 2828, 610, 1920, 2818, 5461, 538, 11836, 596, 593, 713, 3460, 269, 19457, 707, 10761, 543, 3356, 609, 1866, 666, 5818, 8404, 543, 17108, 1565, 563, 275, 269, 6875, 9397, 5781, 547, 22507, 707, 2790, 9075, 269, 10374, 15211, 267, 15198, 5751, 267, 610, 2656, 16152, 666, 960, 13300, 585, 4509, 6099, 2634, 1599, 563, 276, 269, 4107, 11932, 267, 2972, 519, 1184, 256, 22737, 2591, 267, 8661, 24984, 267, 543, 3314, 602, 1565, 568, 513, 15400, 13287, 4502, 10027, 5109, 780, 4415, 891, 4808, 538, 2247, 267, 596, 2811, 1631, 13166, 5423, 547, 10994, 519, 13858, 9035, 32261, 596, 1369, 519, 3817, 540, 713, 1433, 269, 16258, 523, 707, 10160, 10964, 1206, 267, 15210, 3988, 1107, 621, 781, 2469, 547, 581, 835, 646, 1188, 540, 513, 11878, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 17637, 18768, 538, 966, 299, 10485, 7010, 594, 257, 5497, 585, 1762, 1453, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 547, 966, 299, 10485, 7010, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 272, 269, 272, 269, 11137, 540, 966, 299, 10485, 7010, 2580, 834, 272, 269, 273, 269, 11957, 540, 966, 299, 10485, 7010, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 274, 269, 11137, 540, 519, 1576, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 713, 1770, 568, 5497, 585, 1762, 1453, 2835, 267, 865, 946, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 1015, 4458, 6040, 1131, 3362, 1174, 269, 15681, 606, 2502, 543, 28292, 1650, 543, 2057, 1022, 1950, 2035, 610, 2930, 2474, 0, 28982, 972, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 1945, 1572, 834, 1314, 16736, 6843, 771, 7611, 2437, 799, 4992, 7168, 7294, 267, 855, 594, 9153, 621, 3513, 1118, 2631, 4166, 256, 901, 5650, 568, 1419, 1031, 950, 2576, 814, 1044, 8995, 609, 6089, 2860, 269, 2913, 781, 2736, 1524, 1018, 782, 1346, 2462, 1913, 1611, 543, 1946, 789, 2811, 1271, 780, 5575, 1055, 267, 1577, 781, 2911, 827, 9726, 9136, 269, 1411, 1522, 723, 4862, 540, 873, 1354, 1107, 789, 2811, 6263, 267, 21167, 11057, 8219, 1336, 2429, 938, 4703, 269, 1358, 1404, 513, 2629, 1909, 538, 4543, 721, 4339, 5563, 676, 19003, 12862, 543, 29212, 5739, 6878, 899, 4551, 543, 8290, 269, 31849, 540, 9726, 9136, 666, 581, 1336, 896, 707, 7916, 282, 891, 616, 1634, 607, 834, 1314, 16736, 257, 9726, 9136, 630, 1492, 2262, 834, 1314, 8759, 257, 1797, 818, 5404, 527, 6393, 3086, 267, 5196, 6089, 2860, 269, 1879, 2576, 814, 6089, 2860, 267, 7189, 1616, 547, 4137, 856, 952, 519, 2860, 2281, 723, 3323, 10825, 3564, 519, 3312, 10510, 3135, 269, 1677, 798, 713, 267, 789, 1413, 693, 519, 7404, 9726, 9136, 1317, 2860, 2281, 666, 2951, 998, 938, 1560, 3842, 9726, 8043, 543, 1205, 16290, 538, 9726, 9136, 269, 1403, 2860, 2281, 3914, 824, 2694, 540, 519, 1560, 267, 621, 3587, 9875, 547, 1521, 267, 865, 4466, 856, 2436, 519, 2860, 814, 3262, 2038, 593, 2337, 7189, 1711, 1732, 2126, 4566, 780, 3080, 1259, 7189, 2638, 585, 2860, 1591, 3262, 568, 676, 3257, 1945, 1572, 513, 834, 338, 550, 514, 601, 6843, 23707, 1701, 4438, 713, 5650, 267, 20004, 610, 14599, 1570, 568, 22280, 2282, 519, 10510, 267, 3850, 12665, 547, 10250, 1141, 519, 5714, 4422, 269, 898, 5555, 5012, 873, 547, 519, 1101, 1906, 9726, 9136, 2059, 922, 2619, 1107, 891, 616, 1572, 834, 338, 550, 514, 601, 9136, 1701, 1635, 6313, 891, 9136, 5702, 267, 7189, 666, 3313, 952, 2860, 2281, 723, 6410, 883, 519, 30754, 1062, 780, 3383, 1631, 596, 949, 4898, 267, 1018, 4523, 1985, 286, 4270, 267, 12926, 267, 930, 7189, 1131, 1685, 513, 6391, 1572, 834, 1314, 16736, 6843, 771, 7611, 257, 1739, 513, 2318, 2366, 514, 601, 6843, 1449, 1267, 269, 901, 5106, 3322, 9427, 1896, 3606, 9726, 9136, 689, 896, 519, 6186, 547, 2327, 1022, 6967, 29406, 2281, 616, 17515, 269, 1717, 267, 2487, 2090, 2303, 602, 713, 3573, 5650, 3085, 1405, 8209, 948, 1004, 2661, 3476, 610, 2569, 741, 8458, 540, 2348, 513, 24088, 3379, 547, 1875, 1606, 17790, 5574, 780, 2005, 781, 1898, 547, 3314, 602, 3173, 2141, 960, 2182, 547, 1265, 1007, 2081, 547, 1118, 2564, 5773, 10930, 1247, 4509, 741, 7145, 269, 4197, 891, 7760, 786, 7668, 721, 547, 2307, 2055, 543, 4497, 538, 7391, 609, 3782, 7426, 8164, 5185, 609, 1072, 2591, 269, 5457, 267, 1565, 2760, 13515, 267, 1256, 950, 621, 2501, 547, 1950, 3584, 899, 6089, 2860, 2126, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6224, 2975, 8980, 302, 4534, 13705, 710, 8851, 540, 4949, 16736, 9136, 538, 6089, 2860, 2550, 609, 9726, 6843, 9525, 1281, 711, 2087, 6668, 610, 24390, 519, 1981, 540, 26739, 267, 513, 11001, 1767, 1934, 563, 288, 19747, 4791, 4693, 5473, 811, 982, 476, 8517, 2021, 1336, 602, 7900, 4949, 16736, 9726, 6843, 771, 7611, 538, 2038, 22533, 6089, 2860, 2550, 4171, 2366, 514, 601, 6843, 4951, 2963, 540, 2860, 3262, 1185, 1100, 1764, 593, 519, 1981, 540, 12955, 540, 519, 2068, 267, 2687, 547, 14022, 18372, 16902, 592, 10730, 267, 11022, 267, 540, 519, 3627, 31722, 9435, 4659, 538, 13244, 3933, 3821, 267, 2836, 604, 563, 268, 11512, 547, 5461, 2550, 602, 4949, 16736, 6843, 771, 7611, 568, 1419, 5645, 856, 1310, 513, 2366, 514, 601, 6843, 4255, 2318, 585, 6089, 2860, 22037, 12118, 543, 3006, 950, 621, 568, 2942, 269, 8074, 602, 891, 2090, 12172, 950, 971, 5773, 616, 3730, 563, 268, 8074, 602, 713, 1382, 5267, 602, 6296, 8851, 540, 4949, 16736, 9136, 814, 2370, 1764, 593, 6668, 563, 268, 8074, 602, 891, 2090, 941, 3370, 607, 7493, 338, 543, 4843, 693, 513, 10554, 269, 1452, 1239, 543, 8753, 1058, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 834, 8139, 12791, 281, 3245, 9147, 8648, 547, 4653, 5016, 30547, 568, 782, 1472, 721, 256, 898, 781, 1018, 2337, 721, 1174, 1142, 824, 950, 649, 2911, 267, 1224, 2835, 267, 543, 1256, 1413, 693, 5961, 269, 1809, 723, 596, 2479, 11074, 547, 1589, 827, 1018, 4010, 834, 26074, 257, 2731, 568, 286, 1411, 1522, 8263, 602, 3025, 17358, 621, 519, 1482, 1259, 267, 855, 607, 596, 786, 1294, 267, 1004, 998, 1686, 1185, 1114, 4555, 593, 1018, 1412, 26074, 262, 14122, 269, 1924, 1577, 781, 7832, 593, 606, 3078, 3460, 3695, 875, 938, 1620, 540, 2495, 814, 7960, 936, 942, 2439, 4089, 476, 272, 281, 7216, 23548, 25751, 910, 9293, 543, 20050, 454, 14343, 19567, 1103, 3504, 2053, 267, 1004, 2219, 602, 1152, 1913, 543, 4191, 1223, 723, 10096, 269, 5994, 1373, 538, 10255, 1082, 5215, 540, 1296, 3516, 269, 1403, 2576, 11329, 2509, 513, 5757, 267, 789, 1131, 2161, 834, 13607, 32115, 2437, 799, 5921, 834, 18182, 257, 538, 741, 1893, 269, 1280, 873, 267, 519, 2262, 834, 13607, 32115, 257, 5645, 519, 2495, 540, 602, 1880, 1216, 1560, 269, 901, 2856, 729, 849, 3838, 676, 2038, 6014, 5640, 4974, 12355, 5931, 269, 1358, 5156, 602, 1808, 1913, 24829, 1978, 2035, 1271, 585, 741, 2486, 780, 2162, 11314, 476, 272, 320, 281, 6478, 5948, 10794, 692, 5970, 707, 15032, 2671, 513, 2241, 2262, 899, 834, 29728, 2668, 3973, 2307, 873, 547, 2161, 1776, 2262, 2404, 609, 4054, 267, 971, 607, 834, 548, 2314, 2580, 4553, 676, 513, 2262, 4448, 547, 3762, 267, 899, 834, 13582, 2668, 15566, 2394, 596, 3914, 5722, 12205, 2620, 883, 1585, 3584, 269, 9181, 875, 891, 4296, 1397, 602, 1913, 666, 4163, 2789, 6106, 540, 2495, 4470, 593, 2796, 780, 4089, 476, 273, 281, 5890, 21505, 21222, 976, 910, 28604, 25198, 2336, 24801, 15365, 7021, 942, 267, 1004, 7691, 602, 21264, 532, 2495, 7012, 1405, 1175, 827, 1367, 1913, 282, 621, 3238, 16208, 3677, 4559, 899, 5220, 543, 2984, 1932, 269, 5678, 2968, 1447, 21055, 543, 3323, 6220, 23199, 267, 24668, 267, 543, 1950, 6386, 269, 4658, 3459, 6998, 2055, 899, 267, 834, 1432, 1705, 519, 2278, 20053, 950, 789, 5206, 713, 8119, 610, 834, 1692, 798, 594, 9305, 547, 713, 5048, 13948, 8119, 1452, 4612, 633, 4485, 4847, 585, 21950, 5717, 543, 6626, 3156, 540, 2495, 780, 2162, 11314, 476, 273, 320, 281, 11300, 27884, 692, 16485, 1169, 2875, 547, 2328, 1524, 1614, 20775, 1913, 593, 1793, 2354, 540, 1957, 630, 324, 3052, 1421, 17707, 267, 22774, 267, 16741, 1040, 11814, 519, 4574, 267, 14477, 4584, 1079 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1280, 32671, 1931, 6922, 320, 692, 268, 273, 692, 275, 269, 1535, 333, 25883, 291, 15238, 476, 1911, 476, 1015, 454, 23751, 331, 562, 454, 323, 454, 9826, 454, 269, 476, 1015, 268, 274, 454, 333, 331, 454, 343, 333, 815, 910, 476, 276, 454, 1015, 692, 343, 333, 25883, 333, 476, 6110, 271, 476, 1015, 268, 1015, 544, 454, 284, 476, 275, 476, 1015, 268, 276, 562, 454, 1015, 268, 276, 692, 306, 273, 692, 263, 273, 333, 910, 476, 272, 264, 667, 331, 454, 1721, 476, 274, 6113, 6922, 320, 562, 815, 476, 274, 454, 273, 323, 454, 276, 291, 331, 476, 276, 331, 454, 344, 274, 21591, 23751, 273, 323, 476, 273, 336, 454, 323, 454, 304, 7117, 349, 454, 268, 16009, 7117, 21591, 291, 454, 2106, 25883, 343, 333, 815, 476, 275, 562, 6515, 454, 20118, 585, 561, 815, 476, 10384, 271, 454, 343, 333, 815, 476, 278, 562, 6515, 562, 815, 476, 276, 267, 476, 277, 454, 1156, 576, 1152, 1535, 815, 476, 276, 454, 303, 13293, 998, 8559, 561, 815, 476, 4335, 271, 454, 17798, 2953, 4781, 568, 630, 321, 1916, 29210, 454, 291, 331, 454, 276, 269, 594, 815, 476, 275, 594, 476, 271, 5430, 273, 1141, 513, 21591, 320, 454, 323, 692, 268, 1015, 692, 272, 476, 7785, 271, 476, 1015, 454, 272, 476, 1015, 268, 274, 692, 274, 454, 29210, 454, 284, 5430, 454, 275, 454, 320, 692, 1012, 9747, 2953, 4781, 568, 630, 321, 6393, 274, 320, 476, 276, 454, 279, 269, 9474, 815, 546, 815, 476, 274, 513, 21591, 276, 454, 290, 692, 284, 630, 277, 476, 1015, 268, 275, 25589, 29210, 454, 4037, 260, 594, 476, 271, 815, 594, 476, 271, 5430, 273, 454, 320, 454, 274, 454, 29210, 454, 284, 5430, 273, 454, 1626, 454, 320, 692, 336, 454, 336, 692, 2690, 561, 815, 476, 6110, 271, 692, 284, 476, 271, 269, 6860, 562, 692, 320, 284, 692, 306, 272, 692, 263, 513, 267, 476, 271, 994, 288, 692, 263, 273, 320, 267, 476, 271, 994, 291, 692, 5723, 815, 476, 1428, 331, 454, 17798, 2698, 3193, 9874, 815, 476, 1691, 476, 275, 1341, 476, 275, 454, 284, 476, 2568, 454, 17798, 2953, 4781, 568, 630, 320, 6393, 6321, 454, 29210, 454, 280, 269, 594, 815, 476, 275, 594, 476, 271, 5430, 273, 454, 320, 692, 284, 476, 1321, 476, 10441, 476, 1015, 268, 280, 544, 692, 335, 513, 454, 296, 815, 476, 275, 594, 476, 271, 5430, 273, 454, 320, 476, 275, 454, 335, 454, 296, 815, 476, 275, 594, 476, 271, 5430, 273, 454, 275, 454, 275, 296, 271, 454, 23751, 284, 476, 273, 296, 476, 271, 454, 273, 454, 296, 454, 272, 454, 271, 21591, 296, 476, 273, 454, 17798, 2953, 4781, 568, 630, 321, 1916, 335, 454, 1015, 269, 594, 815, 594, 476, 271, 5430, 273, 630, 332, 910, 476, 272, 264, 512, 454, 320, 692, 520, 544, 815, 594, 692, 296, 815, 594, 271, 692, 1012, 9747, 2953, 8390, 568, 630, 322, 2020, 29210, 454, 1556, 269, 594, 815, 594, 476, 271, 5430, 273, 454, 331, 454, 274, 454, 29210, 454, 296, 476, 271, 815, 594, 476, 271, 5430, 273, 454, 275, 454, 331, 454, 29210, 533, 692, 23751, 331, 476, 277, 454, 331, 692, 343, 815, 855, 1535, 815, 630, 332, 910, 476, 272, 264, 512, 454, 277, 454, 331, 692, 263, 272, 269, 276, 910, 476, 272, 264, 512, 21591, 277, 454, 331, 476, 7785, 271, 692, 339, 284, 25883, 274, 454, 274, 692, 339, 815, 476, 1220, 271, 815, 476, 271, 269, 273, 6515, 692, 1012, 9747, 2953, 4781, 568, 630, 320, 6393, 1321, 269, 4880, 6521, 815, 630, 332, 476, 272, 910, 476, 272, 264, 512, 910, 630, 332, 476, 273, 910, 476, 272, 264, 512, 454, 284, 630, 332, 476, 272, 910, 544, 476, 273, 3738, 512, 815, 630, 272, 269, 7367, 910, 476, 272, 269, 2412, 264, 512, 454, 15187, 6521, 815, 476, 271, 269, 1321, 476, 1015, 269, 275, 6515, 692, 284, 476, 14862, 279, 476, 1015, 268, 280, 544, 454, 284, 476, 14862, 279, 16354, 454, 15187, 6521, 815, 562, 331, 454, 3602, 562, 568, 1341, 1654, 8870, 454, 333, 331, 815, 476, 14862, 279, 692, 1012, 3767, 267, 585, 476, 275, 1626, 815, 561, 267, 562, 815, 476, 274, 692, 2690, 476, 277, 2190, 815, 561, 2073, 562, 815, 476, 273, 454, 17798, 2953, 4781, 568, 630, 322, 1916, 1724, 269, 530, 25883, 30697, 271, 476, 272, 269, 3451, 544, 454, 331, 291, 454, 23751, 323, 562, 454, 272, 6515, 476, 272, 269, 3451, 454, 284, 692, 8287, 476, 1015, 268, 279, 476, 272, 269, 3451, 544, 454, 1015, 268, 274, 476, 272, 269, 3451, 692, 284, 476, 271, 269, 8287, 6515, 454, 17798, 2953, 4781, 568, 630, 320, 1916, 278, 667, 331, 476, 274, 667, 331, 454, 291, 331, 454, 1691, 269, 667, 343, 21591, 284, 476, 275, 692, 526, 454, 526, 454, 526, 454, 291, 343, 815, 476, 275, 476, 271, 269, 8287, 6515, 815, 476, 273, 269, 7367, 6515, 454, 28557, 4781, 568, 630, 320, 1916, 1428, 269, 667, 343, 815, 476, 273, 540, 26806, 8700, 454, 273, 476, 271, 269, 8287, 6515, 454, 273, 454, 273, 476, 271, 269, 8287, 454, 339, 23751, 284, 476, 272, 269, 6872, 6515, 454, 271, 269, 7871, 692, 9852, 910, 476, 272, 264, 512, 25883, 1012, 9747, 2953, 4781, 568, 630, 321, 6393, 1626, 269, 4595, 593, 10962, 6094, 4837, 6656, 535, 16206, 454, 12296, 1281, 711, 1689, 8754, 535, 16206, 8700, 454, 284, 476, 271, 269, 8287, 6515, 563, 763, 2953, 4781, 568, 630, 320, 6393, 6872, 692, 1012, 476, 272, 269, 2311, 8998, 2619, 3017, 1063, 782, 15437, 692, 529, 4642, 8754, 524, 6339, 516, 568, 3043, 2094, 642, 14489, 814, 454, 548, 770, 15423, 8754, 1985, 547, 3844, 786, 454, 2041, 642, 14489, 543, 2094, 8515, 568, 1114, 585, 454, 18528, 5166, 585, 15437, 8754, 972, 786, 581, 711, 513, 454, 14814, 569, 4158, 535, 16206, 454, 17798, 2953, 3681, 267, 616, 630, 321, 1070, 630, 322, 264, 543, 630, 323, 1916, 273, 269, 22043, 3681, 616, 630, 320, 1070, 630, 322, 264, 543, 630, 323, 1916, 336, 454, 274, 269, 1627, 594, 815, 476, 275, 594, 476, 271, 5430, 273, 693, 8998, 7117, 815, 476, 271, 594, 815, 476, 275, 594, 476, 271, 454, 273, 454, 663, 693, 3845, 476, 275, 6515, 1657, 522, 568, 1586, 454, 10946, 9874, 8754, 922, 8515, 568, 849, 476, 275, 594, 476, 271, 16317, 1012, 476, 275, 269, 634, 2953, 3681, 267, 616, 630, 320, 1070, 630, 322, 264, 543, 630, 323, 2020, 7712, 5123, 3017, 815, 3586, 454, 23409, 1058, 581, 1395, 29614, 1738, 563, 276, 269, 4595, 538, 713, 2013, 535, 16206, 4806, 6521, 454, 1575, 1189, 8754, 519, 2953, 3681, 616, 630, 320, 1070, 630, 321, 994, 663, 630, 322, 1916, 277, 269, 1627, 562, 272, 331, 272, 815, 562, 273, 561, 273, 585, 3193, 9874, 454, 8794, 713, 4781, 630, 320, 264, 568, 13854, 543, 454, 263, 273, 333, 272, 910, 476, 272, 264, 561, 272, 815, 630, 273, 333, 273, 910, 476, 272, 264, 561, 273, 585, 6922, 320, 454, 8794, 713, 476, 274, 6113, 4781, 568, 2893, 1881, 454, 17798, 2953, 3681, 616, 630, 320, 264, 543, 630, 322, 6393, 1012, 26969, 519, 2051, 8435, 692, 272, 269, 1627, 594, 815, 476, 275, 594, 476, 271, 5430, 273, 692, 336, 454, 273, 692, 604, 692, 336, 815, 476, 2568, 692, 296, 815, 476, 274, 296, 271, 692, 604, 692, 336, 815, 476, 3445, 692, 296, 815, 476, 273, 296, 476, 271, 692, 604, 692, 336, 815, 476, 271, 692, 296, 815, 476, 275, 296, 271, 692, 604, 692, 336, 815, 476, 6344, 692, 296, 815, 594, 271, 692, 1012, 9747, 2953, 6474, 568, 692, 5416, 264, 521, 282, 630, 536, 264, 7117, 282, 630, 322, 264, 533, 282, 630, 323, 264, 678, 454, 331, 454, 273, 269, 667, 343, 21591, 291, 325, 454, 273, 335, 454, 273, 335, 454, 331, 454, 291, 325, 21591, 291, 343, 952, 667, 343, 21591, 331, 454, 274, 454, 273, 335, 692, 291, 325, 21591, 284, 476, 6344, 454, 274, 454, 331, 454, 604, 454, 291, 343, 21591, 277, 454, 331, 454, 291, 325, 815, 476, 2568, 952, 667, 343, 815, 2073, 667, 325, 815, 476, 3445, 454, 275, 454, 291, 336, 454, 8794, 594, 815, 476, 275, 594, 476, 271, 5430, 273, 692, 273, 454, 763, 2953, 6474, 616, 692, 1012, 476, 274, 269, 20028, 1063, 3791, 1931, 3193, 9874, 543, 692, 274, 667, 331, 454, 25218, 3193, 9874, 21591, 284, 476, 274, 342, 454, 323, 454, 291, 2700, 1063, 476, 274, 6113, 1931, 6922, 320, 543, 454, 25218, 454, 272, 667, 331, 454, 291, 331, 454, 16655, 9874, 815, 476, 274, 20620, 284, 476, 273, 269, 276, 454, 284, 476, 273, 269, 276, 530, 454, 273, 546, 454, 323, 692, 1012, 20028, 1063, 1101, 6922, 320, 543, 8521, 692, 4650, 454, 275, 667, 331, 667, 331, 454, 10946, 9874, 21591, 23751, 284, 476, 273, 269, 276, 530, 454, 323, 454, 273, 323, 454, 291, 2700, 1063, 1101, 6922, 320, 543, 8521, 454, 4650, 454, 275, 667, 331, 667, 331, 454, 10946, 9874, 21591, 284, 476, 274, 269, 276, 530, 454, 323, 454, 273, 323, 454, 291, 2700, 1063, 476, 273, 526, 1931, 3193, 9874, 543, 454, 325, 604, 628, 1931, 6922, 320, 815, 476, 275, 269, 276, 530, 910, 476, 273, 342, 815, 476, 273, 269, 276, 530, 454, 1156, 576, 2953, 6474, 568, 454, 5416, 264, 7117, 282, 630, 321, 264, 533, 282, 630, 322, 264, 678, 282, 630, 323, 264, 533, 692, 6812, 454, 275, 269, 4595, 535, 16206, 6521, 538, 519, 6498, 540, 6656, 454, 31419, 6204, 516, 8754, 454, 20118, 585, 824, 519, 2953, 6474, 454, 6357, 264, 678, 267, 521, 282, 630, 322, 264, 533, 282, 630, 323, 264, 533, 454, 331, 291, 454, 276, 269, 1879, 586, 21591, 11004, 786, 513, 4158, 535, 16206, 693, 476, 271, 563, 273, 323, 454, 1156, 576, 630, 320, 264, 7117, 454, 331, 291, 454, 331, 291, 454, 15290, 586, 21591, 284, 274, 692, 277, 323, 454, 273, 323, 454, 763, 8515, 3587, 476, 274, 296, 454, 6357, 264, 533, 692, 6262, 264, 521, 692, 331, 291, 454, 274, 323, 692, 4504, 3748, 815, 594, 692, 5560, 264, 678, 692, 5416, 264, 533, 692, 15290, 586, 25883, 15290, 586, 25883, 331, 291, 454, 275, 323, 692, 4504, 3748, 815, 476, 273, 296, 692, 1012, 476, 277, 269, 1879, 513, 6094, 6676, 630, 10520, 8001, 264, 568, 5116, 538, 692, 12506, 540, 590, 272, 4642, 1931, 535, 16206, 6521, 1657, 689, 454, 302, 8754, 454, 5416, 264, 678, 454, 2691, 590, 272, 568, 6806, 13779, 14897, 454, 663, 7833, 32514, 766, 568, 5833, 593, 454, 31653, 8754, 454, 6357, 264, 533, 267, 7117, 454, 20118, 630, 322, 264, 678, 267, 521, 543, 454, 2691, 521, 568, 6569, 543, 1079, 1483, 2959, 521, 272, 454, 663, 521, 273, 32749, 1769, 540, 1482, 15423, 616, 454, 31419, 13779, 14897, 269, 4595, 2959, 454, 13069, 727, 1875, 18396, 15590, 1370, 8754, 630, 323, 264, 533, 267, 7117, 692, 1012, 476, 3066, 269, 7073, 8212, 594, 692, 4504, 1238, 2563, 11644, 476, 3066, 269, 272, 454, 272, 269, 634, 27082, 1258, 814, 1482, 2527, 544, 607, 519, 454, 19491, 1258, 269, 634, 4389, 2527, 540, 6475, 454, 1842, 527, 1258, 11046, 568, 454, 332, 544, 476, 272, 454, 332, 23751, 284, 544, 454, 332, 266, 332, 476, 273, 454, 275, 692, 305, 295, 25883, 1889, 454, 279, 324, 736, 669, 274, 692, 331, 303, 681, 295, 692, 23751, 284, 273, 454, 331, 295, 681, 303, 454, 331, 533, 815, 476, 273, 331, 295, 815, 476, 273, 476, 4792, 277, 274, 815, 476, 14530, 2918, 692, 273, 780, 272, 454, 272, 454, 23751, 345, 273, 454, 331, 3891, 561, 295, 692, 331, 3891, 815, 476, 13932, 16354, 692, 345, 273, 692, 331, 3891, 25883, 272, 454, 272, 476, 272, 454, 284, 305, 20620, 331, 454, 275, 476, 280, 454, 3607, 454, 3607, 454, 331, 23751, 23751, 276, 305, 476, 276, 476, 272, 269, 6021, 278, 476, 13040, 454, 331, 815, 476, 4792, 277, 16354, 692, 307, 333, 25883, 324, 562, 273, 554, 273, 476, 273, 324, 476, 271, 562, 327, 454, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8139, 21070, 13096, 629, 1162, 454, 288, 6152, 6538, 267, 849, 1634, 607, 513, 16726, 3406, 6538, 267, 568, 513, 1826, 540, 6538, 602, 8637, 543, 30455, 6152, 1239, 585, 3608, 16726, 3406, 269, 898, 568, 2966, 547, 6023, 1164, 8820, 1239, 2798, 543, 6087, 3728, 23023, 540, 2147, 3688, 1759, 593, 513, 13214, 6152, 269, 901, 2306, 6152, 12240, 606, 4998, 3903, 585, 16252, 1949, 602, 4308, 609, 1804, 5666, 540, 1950, 1239, 563, 29936, 538, 22034, 21070, 13096, 629, 1162, 585, 24805, 566, 7010, 454, 4407, 6152, 12240, 2709, 1390, 1761, 585, 16252, 1949, 267, 972, 616, 1896, 2591, 602, 991, 547, 581, 9619, 950, 9001, 873, 585, 713, 3483, 269, 2290, 540, 519, 3119, 2591, 568, 519, 3608, 7829, 540, 1164, 8820, 1239, 543, 519, 2404, 12985, 3790, 269, 3958, 267, 4180, 519, 6111, 543, 10083, 540, 7840, 6383, 689, 519, 6152, 6538, 568, 2629, 585, 519, 1967, 540, 519, 16252, 1062, 563, 302, 653, 1953, 885, 585, 26094, 454, 8601, 519, 2591, 267, 972, 616, 1896, 3255, 585, 6454, 538, 9001, 6152, 12240, 585, 16252, 1949, 269, 25790, 538, 6152, 6538, 2029, 267, 971, 607, 519, 1646, 540, 3608, 4994, 532, 543, 3406, 6620, 267, 616, 7175, 811, 27249, 543, 4977, 16252, 1949, 269, 5015, 267, 519, 5610, 540, 3684, 1565, 543, 2620, 1565, 2553, 609, 6152, 12240, 6585, 519, 1761, 547, 2417, 3986, 519, 2773, 540, 16252, 1949, 563, 16032, 13756, 585, 20074, 21070, 13096, 629, 1162, 538, 24805, 566, 7010, 454, 2691, 7598, 6152, 12240, 538, 16252, 1949, 267, 621, 568, 1271, 547, 1246, 1655, 2853, 547, 2327, 6099, 2773, 543, 6111, 269, 901, 2882, 1697, 1239, 840, 30112, 547, 2569, 10155, 1275, 543, 2087, 3406, 4398, 267, 607, 1134, 607, 5386, 2389, 12941, 519, 16726, 14573, 1031, 585, 9236, 10321, 269, 3958, 267, 5571, 5464, 543, 6268, 540, 519, 16252, 1062, 779, 2773, 568, 1898, 585, 7114, 2127, 540, 6454, 543, 4180, 519, 2298, 540, 7840, 563, 31306, 12367, 543, 11627, 725, 454, 19185, 6619, 267, 519, 2104, 540, 9001, 6152, 12240, 585, 16252, 1949, 5654, 9621, 267, 609, 5571, 1382, 543, 5647, 6117, 7760, 538, 713, 2361, 269, 634, 5610, 540, 1483, 6066, 1239, 4393, 543, 6908, 4393, 7207, 609, 6152, 12240, 568, 17191, 547, 5512, 811, 6422, 543, 17841, 16252, 1949, 269, 5015, 267, 519, 3408, 540, 3113, 12240, 543, 741, 1761, 5348, 1458, 609, 6152, 12240, 1223, 1930, 909, 1007, 7399, 585, 10451, 10531, 543, 2796, 16477, 7840, 563, 1103, 3932, 267, 6152, 12240, 2709, 513, 3532, 5748, 585, 2679, 16252, 1949, 602, 666, 7561, 1184, 543, 23074, 1164, 8820, 1239, 585, 10451, 4977, 543, 4143, 7840, 269, 1635, 5466, 519, 2591, 267, 16107, 519, 3255, 267, 543, 1739, 1655, 2853, 267, 3906, 666, 10244, 519, 1761, 540, 6152, 12240, 547, 3986, 741, 16252, 1949, 543, 5838, 9120, 3593, 2833, 269, 21763, 547, 4685, 4514, 883, 519, 1888, 286, 3367, 811, 538, 713, 2707, 267, 5007, 1543, 649, 4076, 5423, 585, 596, 563, 20524, 811, 827, 713, 1888, 538, 519, 1644, 6402, 2630, 269, 667, 633, 538, 256, 1948, 4289, 320, 11546, 6441, 2562, 16775, 258, 269, 0, 275, 538, 476, 276, 11763, 3676, 968, 732, 3262, 676, 3946, 892, 3081, 1867, 454, 14399, 540, 782, 6502, 538, 519, 5177, 616, 1631, 1394, 693, 1153, 1107, 607, 5162, 5956, 547, 2731, 1491, 3180, 585, 519, 1101, 942, 267, 2059, 609, 519, 2333, 538, 11522, 338, 543, 897, 1091, 602, 2141, 6385, 2333, 693, 713, 942, 540, 1032, 269, 1703, 568, 2705, 930, 1360, 1434, 3377, 585, 3610, 267, 3237, 543, 1453, 267, 2687, 547, 513, 2487, 2376, 593, 634, 19257, 2928, 3896, 563, 763, 1867, 676, 24898, 667, 4428, 1752, 6212, 593, 1896, 3268, 602, 666, 581, 3144, 547, 948, 3648, 2569, 519, 3262, 540, 10108, 971, 607, 6862, 21552, 267, 2770, 543, 9269, 21479, 269, 31876, 689, 1072, 8387, 267, 646, 11339, 267, 2882, 519, 2956, 540, 6616, 950, 547, 1832, 19920, 2476, 689, 1153, 950, 789, 616, 2192, 1107, 543, 267, 5310, 1034, 3648, 267, 968, 974, 2286, 1434, 9882, 6208, 3034, 763, 1867, 5956, 676, 13288, 547, 513, 3105, 5967, 609, 519, 16628, 540, 5442, 292, 5308, 5754, 8162, 923, 267, 950, 17012, 7085, 541, 4857, 519, 8594, 540, 968, 8518, 11067, 9854, 892, 1107, 543, 1946, 20408, 621, 666, 581, 865, 6225, 563, 2108, 2507, 527, 779, 4502, 19551, 602, 1175, 476, 1789, 7643, 540, 621, 5781, 666, 948, 11574, 4743, 896, 519, 4365, 585, 4374, 3034, 763, 2956, 540, 1688, 11067, 454, 19894, 1688, 11067, 267, 17298, 693, 519, 1318, 2053, 630, 29592, 4189, 267, 1310, 16003, 946, 543, 950, 3946, 616, 1471, 4601, 18660, 267, 10838, 1866, 264, 568, 865, 6225, 2829, 519, 1867, 1317, 968, 27917, 538, 2947, 11763, 3676, 267, 971, 607, 7181, 12961, 267, 616, 3262, 676, 3946, 3034, 289, 8960, 713, 538, 2247, 9727, 1946, 621, 779, 865, 1271, 602, 1453, 1058, 581, 6026, 875, 543, 950, 547, 22738, 713, 1034, 1271, 540, 2238, 3927, 563, 2108, 22826, 2834, 1688, 2914, 4770, 568, 835, 540, 519, 1034, 2500, 2081, 547, 3247, 519, 3262, 540, 8290, 267, 519, 4966, 2161, 267, 1317, 789, 666, 2661, 593, 938, 3946, 269, 1411, 1058, 946, 3636, 1216, 543, 12853, 585, 8938, 7643, 267, 610, 1688, 7254, 4345, 518, 267, 547, 2973, 3946, 4749, 3034, 763, 2376, 849, 18953, 593, 519, 1249, 602, 3214, 1058, 711, 7390, 1153, 950, 789, 616, 796, 6202, 267, 6031, 602, 4352, 621, 779, 968, 325, 710, 892, 547, 6494, 873, 609, 3339, 897, 1091, 543, 5634, 11522, 338, 267, 789, 1058, 581, 6854, 693, 1753, 952, 789, 723, 513, 8611, 610, 1164, 2837, 563, 28317, 1126, 609, 13481, 610, 11591, 21539, 320, 1058, 7227, 476, 4366, 3108, 1354, 16144, 1394, 547, 1153, 267, 547, 3247, 519, 3262, 540, 7181, 12961, 3034, 4517, 1934, 616, 930, 3730, 1863, 2200, 540, 938, 1378, 2336, 268, 1323, 589, 275, 875, 547, 11547, 707, 3946, 16968, 19314, 268, 589, 3126, 540, 589, 275, 19297, 18995, 519, 2947, 5933, 540, 1688, 11067, 547, 581, 10268, 593, 519, 4928, 3774, 19314, 2507, 663, 513, 968, 6011, 547, 11547, 707, 3946, 892, 3381, 563, 5938, 778, 1453, 2500, 1688, 11067, 2553, 609, 5985, 29826, 602, 666, 979, 9170, 1107, 16280, 610, 856, 454, 763, 918, 1342, 12685, 1662, 2039, 540, 3636, 1216, 1688, 11547, 4559, 616, 3501, 585, 4130, 3946, 1107, 543, 616, 4998, 1141, 513, 15409, 3070, 568, 2838, 563, 15371, 596, 2154, 513, 3677, 8868, 539, 1770, 971, 607, 519, 918, 1342, 328, 26239, 330, 267, 610, 519, 16600, 15409, 918, 1342, 12685, 1662, 2473, 10177, 267, 596, 666, 2327, 602, 782, 1453, 538, 707, 1416, 616, 2111, 547, 11547, 741, 3946, 2436, 3330, 610, 856, 269, 0, 300, 2335, 8583, 267, 513, 7524, 2749, 538, 27623, 5125, 267, 19646, 513, 3309, 543, 2479, 19145, 2916, 269, 4197, 519, 4365, 538, 28553, 8583, 568, 2629, 585, 7264, 543, 14666, 7567, 269, 769, 713, 2376, 267, 649, 3513, 2263, 519, 28553, 8583, 4365, 3270, 267, 3140, 3466, 267, 12119, 2242, 267, 3665, 4365, 2621, 267, 543, 875, 621, 7506, 3232, 1272, 563, 23208, 16661, 18963, 454, 300, 2335, 8583, 814, 513, 3638, 1686, 267, 543, 865, 1281, 922, 2916, 269, 3683, 519, 1296, 267, 519, 2749, 814, 4810, 513, 2647, 2039, 540, 4365, 3270, 267, 689, 7646, 24475, 547, 3636, 28782, 269, 4197, 891, 3140, 3466, 666, 948, 721, 5660, 28553, 8583, 781, 1459, 2916, 1732, 563, 14483, 8693, 17148, 454, 300, 2335, 8583, 781, 2916, 666, 581, 4330, 607, 22465, 609, 9793, 11811, 2429, 519, 1032, 269, 5681, 11302, 616, 3636, 267, 543, 24475, 616, 7646, 269, 634, 2749, 781, 16133, 547, 519, 10910, 710, 5211, 4249, 513, 1713, 1909, 538, 12018, 922, 2916, 563, 306, 7428, 538, 28553, 8583, 568, 513, 17175, 942, 269, 634, 5210, 1376, 547, 4473, 267, 543, 519, 2749, 2501, 547, 1272, 609, 19806, 4040, 5810, 543, 3039, 2044, 269, 898, 781, 606, 5140, 4005, 585, 9205, 2238, 563, 11764, 11302, 538, 28553, 8583, 666, 581, 3636, 267, 609, 5210, 8757, 519, 1164, 476, 736, 338, 543, 1970, 476, 1789, 338, 5232, 17622, 269, 898, 781, 519, 3501, 942, 585, 11981, 519, 2749, 781, 11614, 543, 9205, 2621, 563, 8505, 4379, 6770, 513, 20498, 4159, 540, 10477, 16714, 269, 634, 5210, 2253, 547, 3579, 1524, 267, 1818, 621, 513, 1390, 4005, 585, 16837, 569, 15211, 543, 2686, 2621, 563, 310, 26262, 616, 7646, 538, 28553, 8583, 267, 609, 5210, 10355, 21177, 2630, 16171, 269, 2755, 6777, 6420, 568, 1102, 7528, 550, 267, 519, 2749, 814, 513, 23406, 5790, 1282, 519, 9702, 4005, 563, 15761, 3153, 16661, 15638, 454, 300, 2335, 8583, 12212, 2833, 3665, 4365, 2621, 971, 607, 5230, 11811, 543, 19711, 28323, 269, 1763, 6342, 616, 1134, 1790, 10517, 1563, 547, 4308, 609, 891, 3871, 267, 543, 519, 2749, 781, 5989, 666, 6023, 971, 20825, 563, 1692, 28553, 8583, 16661, 18748, 338, 11545, 5020, 454, 300, 2335, 8583, 7264, 616, 26224, 547, 519, 12119, 2242, 543, 3082, 741, 3232, 13467, 9935, 269, 30482, 2238, 616, 10731, 538, 519, 4832, 267, 1247, 18241, 11255, 19771, 616, 1455, 1282, 519, 5162, 563, 291, 7675, 585, 519, 28553, 8583, 8693, 454, 299, 599, 1229, 7802, 568, 1898, 538, 28553, 8583, 267, 2016, 519, 11385, 908, 5210, 269, 16511, 1023, 1419, 5957, 1769, 7802, 538, 4832, 543, 4163, 606, 22597, 585, 6397, 4764, 29636, 563, 19522, 585, 12875, 1235, 454, 2252, 596, 2811, 4058, 547, 3643, 28553, 8583, 267, 581, 2386, 547, 2638, 519, 4365, 9472, 1354, 707, 7552, 269, 13268, 9935, 267, 543, 1810, 1405, 7340, 547, 2263, 519, 2749, 781, 4365, 23949, 8817, 18845, 563, 16032, 5384, 547, 16731, 454, 763, 1655, 942, 547, 3643, 28553, 8583, 568, 1282, 3735, 5614, 543, 2038, 4832, 950, 519, 4365, 568, 16990, 267, 543, 9205, 2238, 616, 538, 2407, 18711, 563, 2171, 1430, 5983, 4751, 8249, 454, 19617, 2730, 7270, 543, 5985, 8924, 1683, 4977, 4365, 23004, 585, 28553, 8583, 269, 13773, 8242, 593, 519, 5767, 2175, 547, 1544, 707, 2238, 9935, 563, 20458, 7827, 543, 28553, 8583, 454, 300, 2335, 8583, 267, 899, 1082, 4872, 267, 568, 7680, 519, 2360, 540, 2916, 1689, 269, 29547, 5210, 543, 4657, 4365, 3270, 616, 2152, 519, 2749, 568, 8362, 5466, 563, 300, 2335, 8583, 781, 4365, 3091, 513, 3309, 543, 2479, 21608, 1995, 2429, 519, 1032, 269, 4197, 519, 3140, 3466, 267, 12119, 2242, 267, 543, 875, 621, 5540, 3232, 1272, 568, 1883, 547, 4628, 11981, 713, 4190, 4436, 2749, 563, 1432, 568, 519, 3328, 2837, 538, 28553, 8583, 1282, 4832, 888, 7628, 4832, 267, 28553, 8583, 2833, 3328, 5210, 538, 519, 1164, 476, 736, 338, 547, 1970, 476, 1789, 338, 5232, 17622, 563, 9989, 28553, 8583, 4309, 513, 2603, 540, 6777, 1282, 5162, 888, 5591, 267, 28553, 8583, 3335, 2833, 7646, 24475, 609, 1102, 7528, 550, 6777, 6420, 563, 6701, 972, 1022, 4365, 5829, 18845, 538, 28553, 8583, 888, 8133, 267, 28553, 8583, 814, 1896, 11255, 18845, 267, 1519, 15882, 543, 519, 11596, 267, 1818, 621, 606, 5140, 10278, 1032, 15778, 563, 1692, 798, 28553, 8583, 7264, 5965, 585, 3665, 4365, 2621, 888, 300, 2335, 8583, 7264, 616, 1134, 1790, 10517, 1563, 543, 723, 5989, 538, 1747, 547, 6023, 3665, 4365, 2621, 267, 971, 607, 5230, 11811, 543, 19711, 28323, 563, 1432, 568, 519, 1655, 942, 547, 3643, 28553, 8583, 607, 513, 15805, 888, 299, 622, 5614, 543, 2038, 4832, 616, 519, 1655, 2053, 547, 3643, 28553, 8583, 950, 519, 4365, 568, 16990, 267, 543, 9205, 2238, 616, 10731, 269, 0, 2467, 814, 1044, 513, 2603, 540, 2911, 827, 875, 547, 1118, 5656, 811, 1648, 18026, 25015, 543, 899, 513, 2603, 540, 824, 2829, 267, 16855, 5063, 9516, 519, 1007, 476, 1001, 276, 4139, 6052, 8943, 269, 634, 4170, 543, 9115, 1369, 713, 3009, 616, 540, 1576, 9141, 676, 1004, 13730, 827, 4227, 1648, 6165, 543, 8511, 3154, 5434, 269, 2991, 782, 267, 5656, 616, 3743, 585, 827, 476, 2412, 260, 540, 782, 1648, 4616, 538, 519, 2475, 269, 4475, 267, 4227, 519, 2179, 540, 1648, 5656, 946, 786, 2569, 2949, 1648, 4616, 543, 8511, 3154, 5434, 269, 10251, 267, 621, 779, 711, 713, 2241, 543, 594, 6557, 711, 2386, 4896, 814, 2731, 2944, 782, 519, 2979, 547, 1397, 602, 8380, 782, 713, 6140, 268, 11798, 2861, 13471, 593, 707, 2777, 568, 2731, 2469, 547, 2628, 1055, 269, 1280, 1383, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1223, 723, 1360, 1134, 5949, 547, 803, 952, 1686, 729, 1114, 543, 649, 22821, 1412, 339, 4121, 689, 938, 9073, 269, 2368, 6011, 267, 1256, 998, 519, 3983, 267, 14732, 1869, 7307, 547, 581, 6126, 269, 901, 568, 11121, 547, 803, 543, 2306, 803, 1589, 602, 594, 1058, 581, 811, 18507, 585, 1018, 594, 723, 543, 1265, 811, 8788, 538, 1250, 454, 1432, 568, 519, 1034, 6225, 1259, 547, 4431, 547, 4655, 286, 1703, 616, 2789, 1114, 2081, 547, 2746, 1282, 519, 942, 540, 513, 6560, 269, 3509, 949, 8263, 602, 2182, 960, 267, 610, 1256, 8165, 1394, 568, 519, 1034, 3608, 1259, 547, 4431, 269, 1809, 609, 891, 6547, 547, 4655, 267, 972, 1223, 581, 17498, 1938, 543, 621, 666, 1860, 1866, 538, 513, 2942, 1259, 267, 7429, 25273, 269, 634, 1655, 3210, 547, 4655, 568, 5329, 513, 2318, 10182, 267, 1256, 538, 519, 10782, 2053, 540, 7092, 269, 1306, 713, 666, 723, 513, 1732, 1198, 593, 711, 1152, 707, 2168, 543, 2790, 1072, 267, 855, 849, 593, 1346, 1472, 596, 269, 0, 28406, 532, 543, 19620, 9341, 7733, 568, 835, 540, 519, 1034, 3532, 2645, 547, 3500, 543, 6038, 3247, 2916, 1689, 269, 1358, 4558, 909, 547, 513, 10116, 540, 782, 23197, 3327, 543, 2099, 476, 2004, 2600, 540, 519, 1158, 779, 18714, 9265, 269, 19759, 569, 267, 519, 1158, 568, 9561, 7733, 693, 606, 24034, 2557, 563, 763, 3486, 2146, 814, 1279, 6444, 602, 2962, 547, 2149, 7733, 568, 3844, 547, 2962, 547, 10994, 2916, 1689, 269, 769, 1249, 267, 811, 982, 513, 8717, 3516, 267, 3486, 16395, 3459, 593, 519, 3652, 593, 875, 2477, 1058, 960, 1927, 547, 2569, 5434, 689, 17717, 267, 3895, 5726, 543, 4264, 2359, 540, 7733, 267, 543, 2333, 13632, 269, 4104, 3327, 538, 9341, 4104, 2477, 1107, 7104, 3527, 1634, 607, 681, 3633, 291, 1341, 563, 763, 2164, 540, 891, 16395, 941, 1671, 15590, 1441, 538, 519, 8303, 15716, 267, 2687, 547, 799, 267, 896, 9137, 476, 276, 267, 4853, 1242, 2477, 616, 9415, 547, 1118, 2773, 2861, 11033, 547, 3384, 2477, 585, 6913, 12998, 20214, 269, 693, 519, 11758, 12302, 1377, 563, 3719, 267, 602, 729, 1152, 519, 1101, 1900, 269, 1677, 4266, 267, 20033, 6608, 607, 1134, 607, 1617, 10561, 5238, 267, 971, 607, 519, 2622, 7813, 543, 519, 2136, 8315, 5682, 8693, 8750, 267, 723, 8149, 811, 982, 1269, 476, 278, 5479, 547, 681, 3633, 291, 1341, 269, 1809, 1454, 811, 7616, 568, 2877, 952, 519, 1158, 568, 547, 2743, 922, 11451, 8815, 9072, 585, 2916, 267, 9265, 543, 2244, 12159, 267, 6059, 693, 513, 1269, 476, 275, 269, 272, 18265, 7616, 7934, 585, 2470, 676, 476, 13078, 271, 269, 4634, 2883, 1489, 538, 519, 7366, 540, 6634, 540, 9489, 568, 711, 2141, 2614, 547, 2285, 4104, 2477, 519, 6015, 547, 7832, 593, 16529, 3292, 547, 2149, 7733, 543, 2569, 5434, 267, 799, 2154, 5092, 269, 1271, 538, 2883, 543, 2797, 3854, 563, 8245, 2952, 2322, 267, 519, 5318, 2916, 2962, 1761, 540, 681, 3633, 291, 1341, 786, 711, 1570, 1125, 1510, 513, 7372, 2333, 538, 7298, 3747, 2157, 269, 2201, 519, 824, 1688, 267, 1082, 1761, 7426, 540, 2164, 2861, 14104, 616, 31464, 547, 1118, 1804, 8397, 14104, 19647, 538, 519, 9000, 540, 513, 7298, 3761, 269, 769, 519, 681, 3633, 291, 1341, 2146, 267, 649, 723, 1572, 713, 519, 12882, 577, 1157, 523, 610, 519, 4212, 5889, 1966, 563, 2026, 2576, 945, 5249, 538, 1764, 10115, 543, 2916, 8804, 607, 519, 681, 3633, 291, 1341, 16395, 11200, 539, 267, 621, 729, 2312, 602, 7733, 2877, 513, 1007, 1870, 1544, 543, 513, 1007, 4640, 2877, 547, 581, 7550, 269, 547, 4194, 713, 9269, 4212, 4161, 269, 11086, 267, 713, 5692, 3366, 547, 519, 5250, 540, 9622, 7217, 538, 476, 1001, 280, 269, 3776, 3804, 729, 547, 1711, 513, 1875, 17416, 10827, 776, 602, 1223, 4497, 1063, 9341, 4104, 2477, 543, 519, 4357, 5823, 547, 20834, 1125, 7616, 547, 1489, 12998, 20214, 5532, 547, 17717, 269, 769, 922, 1034, 30341, 1106, 267, 519, 3069, 540, 1689, 729, 2241, 281, 952, 649, 1223, 1590, 518, 513, 2178, 2614, 3747, 5365, 267, 519, 3761, 540, 1804, 8397, 4104, 4027, 3435, 1131, 1570, 1125, 563, 2005, 568, 713, 1482, 5075, 602, 12592, 519, 10131, 540, 519, 700, 12788, 293, 29663, 4505, 538, 519, 1032, 269, 18509, 3990, 676, 9622, 7217, 267, 700, 12788, 293, 568, 26405, 547, 1831, 519, 4102, 1857, 17376, 10675, 11036, 2479, 2966, 547, 17108, 2916, 2962, 676, 3246, 1804, 8397, 267, 2164, 2861, 8804, 547, 2477, 5462, 547, 2149, 741, 9341, 7733, 269, 7982, 539, 676, 519, 8699, 540, 26353, 779, 4295, 570, 3918, 2464, 3044, 267, 519, 3804, 568, 547, 25793, 1662, 519, 20440, 540, 9341, 4104, 2477, 547, 3247, 17717, 676, 11488, 606, 13778, 5365, 540, 3747, 269, 634, 29663, 568, 3395, 543, 2063, 3018, 18647, 5794, 20514, 543, 623, 342, 290, 2968, 519, 2063, 4357, 5823, 5171, 547, 6443, 563, 2691, 649, 9250, 519, 11036, 267, 649, 14201, 1406, 2386, 4010, 1018, 3210, 547, 2503, 689, 519, 29663, 779, 11910, 585, 1160, 1842, 1023, 630, 5183, 1040, 9122, 593, 3105, 960, 543, 4656, 9870, 267, 649, 6785, 972, 1131, 581, 1713, 1719, 689, 9341, 4104, 2477, 267, 855, 649, 1223, 711, 723, 2016, 513, 5730, 4137, 563, 11039, 267, 952, 972, 1185, 2479, 1044, 513, 2243, 952, 519, 1719, 630, 663, 519, 2709, 264, 568, 972, 267, 519, 3210, 547, 700, 12788, 293, 779, 1289, 585, 18747, 12943, 621, 267, 543, 12943, 621, 17046, 569, 563, 4041, 28425, 814, 4607, 936, 476, 1789, 22347, 3827, 689, 22875, 602, 1927, 3382, 936, 3368, 513, 5479, 25614, 540, 7733, 269, 1160, 1842, 1023, 941, 4607, 689, 22875, 593, 2185, 17407, 8204, 519, 1614, 2101, 9341, 4104, 4525, 540, 519, 1158, 281, 519, 8835, 19438, 267, 519, 22096, 19438, 543, 519, 7733, 540, 14913, 5607, 269, 8682, 3146, 19959, 12531, 6059, 676, 22875, 2698, 532, 936, 835, 5479, 19726, 540, 12998, 20214, 936, 2947, 1296, 563, 2690, 1346, 540, 721, 945, 723, 5249, 538, 713, 2230, 585, 513, 1279, 942, 267, 972, 729, 513, 2386, 4743, 602, 606, 1271, 24182, 538, 519, 681, 3633, 291, 1341, 3460, 729, 6603, 609, 713, 2626, 282, 513, 1713, 1900, 4464, 2509, 519, 3804, 540, 717, 580, 26293, 5682, 7420, 269, 898, 4951, 519, 16854, 8990, 543, 2797, 786, 540, 4104, 2477, 547, 2149, 741, 7733, 269, 3767, 568, 519, 942, 585, 3747, 547, 4431, 543, 14556, 1518, 593, 1256, 3677, 10253, 563, 7021, 519, 4947, 1974, 267, 9622, 7217, 786, 960, 5702, 609, 519, 5171, 540, 519, 700, 12788, 293, 29663, 547, 5402, 2689, 519, 18747, 538, 1931, 547, 2697, 1346, 5827, 540, 5870, 519, 11826, 5542, 7355, 543, 16529, 21852, 540, 519, 1289, 585, 18747, 269, 9181, 687, 609, 519, 10470, 616, 2921, 1747, 936, 519, 1985, 1906, 3275, 267, 609, 519, 2832, 540, 3045, 23395, 519, 1101, 5180, 540, 11650, 676, 519, 1439, 540, 713, 1032, 563, 3719, 700, 12788, 293, 779, 1269, 476, 272, 5479, 3804, 568, 1175, 519, 1376, 269, 1452, 18747, 723, 8118, 909, 513, 5458, 4316, 585, 519, 1158, 547, 2097, 1927, 543, 1489, 10678, 9341, 17717, 269, 24021, 779, 5692, 543, 20440, 568, 547, 20834, 1125, 6190, 7616, 547, 25793, 1662, 519, 2407, 1761, 6719, 676, 891, 18747, 543, 3564, 269, 1284, 723, 9411, 513, 1007, 5123, 540, 519, 2518, 681, 3633, 291, 1341, 4674, 267, 543, 594, 267, 585, 835, 267, 993, 30590, 609, 519, 1267, 269, 0, 4322, 476, 276, 1715, 31315, 15661, 590, 3089, 10965, 5661, 4934, 540, 4256, 26425, 338, 454, 763, 4408, 540, 519, 15315, 941, 25488, 539, 1055, 267, 543, 7482, 689, 519, 2680, 786, 979, 4724, 8497, 930, 540, 519, 2249, 563, 5475, 513, 1279, 3781, 540, 10478, 585, 15315, 538, 28130, 267, 22176, 329, 663, 549, 1488, 974, 15676, 543, 1010, 2319, 540, 3173, 3893, 4712, 547, 13649, 269, 634, 10543, 779, 32751, 542, 267, 538, 513, 32761, 344, 3148, 540, 4764, 4104, 267, 22821, 1406, 26857, 1022, 15315, 689, 513, 2249, 789, 941, 5275, 563, 3719, 607, 4764, 23953, 1524, 593, 519, 5397, 1394, 547, 3786, 267, 1488, 974, 15676, 267, 513, 1912, 6185, 269, 2875, 693, 1715, 3840, 4975, 779, 1977, 7467, 540, 7849, 3778, 267, 4956, 547, 1118, 835, 2063, 3247, 563, 10527, 4155, 729, 865, 29822, 4988, 609, 10664, 602, 596, 1223, 12701, 707, 1688, 856, 540, 519, 1286, 543, 10544, 519, 3762, 267, 865, 594, 4956, 547, 2490, 593, 1250, 2212, 331, 2086, 543, 1376, 17655, 2223, 1488, 974, 15676, 31061, 269, 968, 6546, 781, 950, 594, 4718, 519, 1101, 835, 4799, 10908, 4575, 936, 519, 4764, 1673, 27221, 10664, 267, 1488, 974, 15676, 19481, 513, 1507, 267, 0, 15933, 3106, 543, 2298, 616, 8200, 593, 519, 1826, 540, 19455, 1184, 602, 568, 7550, 269, 18648, 19455, 2853, 1131, 2569, 519, 15808, 1272, 543, 849, 2333, 2530, 602, 568, 2404, 609, 27253, 720, 269, 5842, 2787, 568, 2966, 547, 2569, 10898, 602, 616, 1455, 538, 519, 1426, 5663, 9744, 269, 5253, 5663, 9744, 3340, 2027, 19455, 2853, 269, 5253, 5663, 9744, 568, 606, 1271, 3693, 540, 5663, 2238, 269, 1280, 713, 3483, 267, 519, 2230, 543, 3388, 827, 519, 9744, 1590, 581, 538, 1434, 1106, 693, 782, 2053, 547, 2057, 1426, 12526, 563, 26596, 2787, 540, 519, 9744, 3322, 5329, 519, 1426, 3346, 7252, 2973, 543, 849, 4180, 602, 519, 27022, 543, 824, 2326, 616, 6870, 1996, 12526, 269, 634, 2241, 4341, 568, 602, 7488, 540, 519, 1826, 540, 4393, 596, 3870, 267, 602, 568, 267, 6632, 4393, 610, 1970, 7509, 3536, 267, 519, 2127, 1590, 581, 19345, 543, 3819, 547, 2061, 519, 4527, 540, 17900, 610, 1022, 824, 14432, 6878, 563, 763, 19455, 8257, 568, 606, 7533, 6186, 540, 519, 1426, 5663, 9744, 269, 901, 8257, 568, 9901, 609, 519, 5539, 540, 8876, 856, 519, 1318, 7738, 1184, 609, 519, 946, 540, 1034, 3617, 6464, 269, 634, 8257, 12662, 930, 9270, 538, 1747, 585, 519, 7738, 1184, 540, 519, 1426, 5663, 9744, 269, 2368, 540, 519, 2188, 602, 1590, 581, 2808, 950, 24846, 1944, 519, 5663, 9744, 616, 912, 27662, 532, 2326, 281, 769, 513, 19915, 547, 2973, 519, 5663, 9744, 267, 621, 568, 2556, 547, 2628, 3007, 547, 519, 3903, 540, 7738, 2326, 602, 616, 1031, 269, 1879, 519, 1318, 7738, 1570, 568, 1031, 267, 519, 3937, 786, 711, 14016, 622, 269, 634, 946, 540, 10792, 6464, 593, 2571, 8407, 666, 6338, 4551, 883, 519, 3937, 563, 12850, 281, 27814, 267, 519, 1826, 540, 1216, 602, 1058, 581, 1031, 585, 7738, 513, 5663, 9744, 568, 15409, 1216, 269, 901, 1797, 602, 519, 1216, 1058, 581, 3514, 585, 1480, 4616, 269, 4826, 21052, 786, 7519, 519, 7145, 540, 519, 7738, 1570, 543, 666, 849, 1860, 519, 2773, 540, 519, 9744, 3937, 563, 31367, 3252, 281, 898, 568, 711, 513, 9983, 602, 7738, 1570, 2270, 6464, 269, 1717, 267, 621, 568, 1271, 602, 596, 2697, 519, 10342, 540, 519, 3114, 538, 519, 1570, 269, 901, 1259, 267, 621, 1131, 581, 4443, 547, 946, 519, 7738, 1570, 585, 519, 1318, 5301, 563, 21995, 5773, 585, 19455, 1184, 454, 763, 19455, 1184, 5956, 609, 4584, 1575, 540, 1587, 29908, 267, 1957, 267, 543, 10077, 335, 269, 901, 1058, 581, 5342, 1282, 519, 5663, 1184, 547, 2057, 4430, 19221, 540, 13897, 543, 547, 849, 2061, 519, 11944, 540, 4057, 7254, 3202, 2175, 563, 15411, 3937, 8440, 547, 8499, 2973, 3330, 269, 769, 1840, 267, 519, 3937, 8440, 1058, 711, 581, 5116, 593, 519, 6989, 1141, 3723, 6808, 6818, 269, 901, 949, 1711, 513, 556, 4186, 8727, 540, 519, 2973, 2694, 563, 290, 1478, 519, 5122, 8440, 609, 5068, 543, 2061, 1216, 689, 4947, 538, 3346, 609, 873, 547, 2057, 3441, 563, 5472, 3937, 1058, 581, 6854, 5265, 547, 2061, 5945, 610, 8009, 689, 8345, 538, 519, 9744, 563, 20245, 7252, 543, 3937, 1058, 581, 18233, 609, 3905, 1216, 543, 28052, 550, 269, 634, 3905, 1216, 2837, 1058, 581, 1063, 476, 9873, 13790, 547, 476, 8182, 13790, 563, 305, 1231, 532, 540, 7252, 610, 3937, 1058, 581, 2944, 693, 3500, 3432, 547, 2327, 602, 621, 568, 2944, 8499, 563, 295, 3931, 513, 3318, 7738, 2754, 568, 14949, 982, 17849, 606, 23153, 602, 949, 711, 1205, 519, 2816, 2944, 1318, 269, 2311, 12321, 1006, 27662, 532, 28022, 649, 2743, 707, 7738, 2115, 269, 13555, 721, 585, 513, 1863, 15360, 543, 519, 3605, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 606, 1930, 5547, 269, 898, 568, 1934, 602, 519, 19492, 557, 2488, 7344, 4027, 269, 17968, 267, 519, 1396, 345, 5911, 7475, 941, 4421, 1229, 1107, 2705, 267, 950, 16271, 547, 2604, 543, 2837, 7506, 267, 17646, 6122, 611, 1151, 1457, 3587, 3810, 1471, 32654, 269, 901, 1419, 8507, 538, 3346, 2042, 267, 6038, 3056, 547, 519, 946, 540, 713, 1505, 1373, 19275, 676, 4441, 563, 10214, 538, 2413, 5499, 4276, 4066, 267, 840, 23829, 5145, 1194, 1396, 345, 5911, 7475, 616, 4122, 1031, 269, 901, 568, 1317, 7542, 337, 2737, 1869, 2709, 1978, 5383, 269, 5047, 267, 519, 1184, 540, 18364, 840, 2389, 13015, 1107, 5969, 547, 3259, 267, 4174, 6137, 267, 543, 6309, 4771, 1107, 3091, 1713, 1761, 585, 5688, 5314, 543, 2009, 9806, 563, 1432, 568, 2838, 676, 4441, 888, 288, 8465, 7601, 5911, 1281, 711, 723, 547, 581, 19632, 609, 513, 7542, 22364, 269, 2353, 17684, 15178, 543, 17684, 1447, 1826, 12363, 4296, 616, 1641, 547, 3044, 13673, 476, 2568, 280, 4200, 268, 272, 270, 13748, 292, 476, 271, 2568, 280, 269, 901, 3044, 5693, 2829, 602, 513, 7344, 18364, 12363, 1448, 1107, 28000, 540, 519, 28728, 532, 6240, 1107, 1590, 581, 2966, 865, 602, 782, 12707, 335, 1563, 2010, 540, 18364, 666, 581, 4448, 28761, 281, 14461, 4396, 267, 14461, 3818, 3613, 8681, 539, 543, 8465, 26423, 666, 581, 4448, 2047, 1510, 1022, 840, 2389, 13015, 269, 634, 3044, 10039, 14311, 547, 7601, 12904, 563, 8201, 476, 273, 1107, 634, 12363, 7161, 689, 519, 14160, 7709, 299, 12114, 2347, 1587, 2039, 689, 27925, 13555, 616, 11727, 543, 9516, 585, 782, 1455, 18364, 2010, 563, 1103, 29708, 2474, 267, 519, 7542, 22364, 1152, 6818, 607, 513, 2009, 4781, 585, 18364, 840, 2389, 13015, 1107, 621, 3274, 4564, 513, 1106, 540, 10943, 823, 4027, 602, 16881, 519, 4276, 540, 8465, 26423, 269, 769, 513, 17684, 15178, 610, 17684, 1447, 1826, 12363, 4276, 607, 829, 13673, 476, 2568, 280, 4200, 268, 272, 267, 519, 946, 540, 7542, 337, 2737, 568, 9444, 11311, 6862, 12199, 856, 269, 20305, 723, 547, 1118, 741, 1378, 3375, 1934, 269, 12910, 1400, 3625, 3044, 594, 4488, 476, 2568, 280, 5325, 268, 278, 268, 272, 849, 2829, 602, 513, 10672, 1590, 14574, 18364, 840, 2389, 13015, 952, 713, 568, 4143, 585, 6325, 18364, 4276, 269, 2311, 27925, 13555, 267, 782, 12363, 2798, 616, 811, 982, 11727, 547, 2743, 519, 29708, 4170, 585, 519, 4276, 540, 782, 18364, 2010, 1107, 2436, 609, 610, 1510, 7542, 337, 2737, 630, 8201, 476, 273, 1916, 26794, 540, 7542, 337, 2737, 454, 1103, 1840, 547, 3246, 4027, 1996, 3441, 267, 7542, 337, 2737, 2709, 7344, 5383, 1282, 11443, 676, 7303, 519, 521, 2452, 532, 543, 936, 19755, 540, 1367, 1396, 345, 5911, 7475, 269, 901, 568, 3226, 6225, 950, 7900, 2789, 17370, 3931, 4238, 538, 519, 1852, 22277, 1107, 711, 2547, 689, 513, 3106, 1448, 540, 2070, 269, 634, 19492, 557, 15985, 956, 1927, 782, 519, 1367, 1396, 345, 12904, 267, 543, 519, 6309, 4771, 1184, 26082, 519, 18364, 543, 19492, 557, 18385, 543, 538, 2169, 878, 2406, 1927, 563, 1103, 14845, 10380, 3871, 267, 1367, 1396, 345, 12904, 616, 1419, 711, 30409, 2973, 569, 267, 799, 666, 585, 1383, 1689, 2011, 2312, 1734, 543, 28869, 720, 9883, 610, 1256, 9594, 8141, 268, 13569, 269, 12113, 337, 2737, 609, 5068, 2458, 1513, 2709, 519, 3606, 5413, 540, 519, 18364, 13471, 1373, 4625, 27153, 538, 519, 19492, 557, 1560, 543, 6772, 11474, 267, 7551, 3246, 18846, 4027, 269, 634, 7990, 540, 519, 5068, 27897, 18575, 519, 3444, 16687, 2039, 563, 293, 20482, 2737, 849, 2709, 5383, 689, 606, 5122, 1448, 540, 2070, 269, 9208, 7542, 337, 2737, 593, 519, 2344, 616, 1500, 689, 3810, 25801, 7601, 2326, 269, 634, 2627, 568, 2356, 22862, 609, 17646, 547, 2149, 1996, 14809, 269, 3245, 606, 6850, 14482, 1013, 673, 1448, 540, 2070, 267, 519, 11508, 2000, 18088, 543, 1106, 1922, 527, 6309, 6244, 7542, 22364, 568, 513, 5912, 1448, 538, 519, 2095, 540, 1699, 543, 568, 4061, 1655, 14284, 269, 2991, 782, 267, 1169, 5912, 1448, 849, 10522, 3346, 4187, 563, 8201, 476, 274, 1107, 1280, 476, 273, 269, 276, 6515, 11054, 7601, 12904, 267, 519, 2079, 2982, 602, 513, 7157, 840, 23829, 5145, 1194, 18364, 3091, 5383, 1256, 538, 519, 2013, 540, 513, 6453, 6749, 543, 3346, 4187, 543, 568, 3648, 2630, 519, 22194, 1871, 563, 4942, 14535, 1460, 13555, 8947, 543, 3379, 519, 1455, 18364, 840, 2389, 13015, 2409, 609, 2543, 547, 741, 5122, 6453, 6749, 543, 3346, 4187, 1759, 593, 519, 1383, 540, 513, 476, 273, 269, 276, 6515, 11054, 3444, 3296, 2039, 269, 898, 2968, 2312, 602, 1256, 835, 18364, 840, 23829, 5145, 1194, 609, 513, 7542, 22364, 6035, 930, 5383, 269, 901, 568, 1317, 519, 3346, 4187, 2418, 540, 606, 15860, 8465, 18364, 616, 5594, 2362, 982, 1346, 540, 513, 18364, 840, 23829, 5145, 1194, 609, 513, 7542, 22364, 630, 8201, 476, 274, 1916, 763, 2601, 585, 713, 568, 602, 7601, 12444, 3278, 269, 17652, 1310, 519, 2504, 1184, 267, 606, 3592, 15865, 8628, 543, 14463, 8825, 4494, 602, 568, 1152, 1472, 476, 273, 547, 476, 275, 18725, 332, 5394, 3029, 593, 519, 11953, 4496, 2627, 269, 13689, 593, 519, 11195, 543, 2837, 267, 607, 1134, 607, 519, 6878, 538, 519, 2011, 267, 713, 12547, 4494, 9428, 1107, 1818, 7601, 2063, 585, 5553, 563, 4913, 267, 1018, 5526, 547, 581, 11617, 13267, 543, 14909, 538, 519, 4070, 2872, 568, 2965, 513, 12042, 8896, 538, 5122, 4702, 267, 607, 8465, 7601, 12904, 849, 12444, 1125, 269, 589, 9145, 641, 1227, 6094, 12547, 4494, 3029, 593, 519, 2627, 540, 1142, 1367, 1396, 345, 5911, 267, 16094, 32485, 19428, 543, 9117, 607, 606, 5248, 1807, 269, 1744, 2863, 338, 2049, 1063, 1396, 345, 12904, 267, 7133, 519, 2698, 3346, 4187, 540, 519, 18364, 563, 2691, 7542, 337, 2737, 616, 6309, 6244, 7157, 267, 519, 2182, 12547, 6106, 616, 7745, 1930, 2964, 1227, 543, 519, 1367, 1396, 345, 12904, 616, 19316, 1927, 609, 513, 3154, 2389, 697, 3514, 630, 8201, 476, 275, 1040, 1306, 513, 1267, 267, 695, 2863, 338, 616, 6922, 2213, 269, 634, 6309, 4771, 3337, 1107, 2436, 14328, 267, 15279, 21192, 610, 25671, 18042, 1107, 2306, 15991, 1022, 3017, 1934, 563, 8201, 476, 275, 1107, 634, 3296, 2982, 513, 6109, 3514, 609, 5021, 24386, 5860, 1107, 6309, 4771, 2645, 689, 27925, 13555, 4183, 7142, 5583, 602, 1281, 711, 7048, 593, 519, 3593, 282, 7064, 547, 519, 1164, 6309, 4771, 3196, 267, 519, 1396, 345, 12904, 616, 726, 16484, 632, 11526, 1510, 29212, 1022, 2011, 563, 26589, 609, 519, 1164, 7779, 2326, 540, 519, 1367, 3334, 267, 519, 16799, 1063, 519, 18364, 267, 7542, 22364, 267, 543, 6309, 4771, 1907, 568, 849, 513, 2596, 32563, 540, 713, 2079, 269, 589, 18385, 6325, 5122, 4276, 666, 1152, 581, 2813, 952, 782, 7700, 2188, 616, 5265, 20291, 269, 25065, 5991, 846, 726, 4536, 610, 15497, 2759, 1562, 616, 711, 5078, 6309, 4771, 2645, 563, 763, 2298, 540, 519, 18364, 840, 2389, 13015, 4249, 606, 1271, 1909, 267, 2523, 538, 519, 2013, 540, 17684, 1447, 1826, 4296, 971, 607, 5614, 2275, 720, 12363, 7161, 269, 589, 17684, 4276, 1131, 6157, 581, 2111, 547, 968, 338, 638, 2465, 2763, 892, 513, 4057, 6309, 335, 4276, 28729, 609, 513, 1164, 9395, 2287, 18165, 538, 519, 12363, 1448, 269, 1717, 267, 713, 1184, 1131, 581, 11234, 1107, 1256, 952, 972, 941, 1100, 5122, 4539, 563, 290, 3234, 4771, 2645, 689, 27925, 13555, 4183, 606, 7471, 2604, 9376, 267, 799, 5849, 602, 519, 6309, 4771, 4783, 568, 2141, 6192, 269, 898, 3788, 19526, 2394, 519, 2556, 6309, 4771, 2604, 568, 6603, 282, 7551, 4180, 602, 6190, 2604, 568, 4294, 269, 634, 2838, 3154, 2389, 697, 1145, 543, 2838, 19492, 557, 15639, 3196, 538, 13076, 609, 667, 2562, 476, 5379, 273, 2764, 3487, 476, 275, 616, 4061, 9846, 13854, 269, 3117, 11962, 1164, 7779, 2164, 616, 6913, 609, 1279, 3856, 6617, 267, 7488, 540, 519, 3196, 4294, 676, 519, 3593, 543, 519, 24017, 538, 519, 8006, 10892, 540, 519, 19492, 557, 543, 18364, 630, 8201, 476, 275, 1916, 1103, 1852, 22277, 5663, 267, 519, 1184, 3790, 2099, 513, 1804, 8167, 540, 519, 2698, 3790, 1107, 891, 2395, 519, 3790, 616, 7229, 829, 4276, 1448, 269, 1677, 5688, 1047, 3157, 543, 2333, 4398, 267, 1082, 3755, 4061, 3442, 5614, 4276, 4066, 269, 3371, 1932, 267, 18364, 840, 2389, 13015, 814, 513, 9645, 3310, 593, 519, 1184, 5832, 269, 32379, 2987, 2029, 689, 27925, 13555, 568, 1759, 593, 519, 2604, 5614, 6240, 269, 15519, 573, 610, 840, 23829, 5145, 1194, 26423, 616, 17332, 2047, 1510, 1210, 1022, 2645, 269, 901, 2488, 513, 5812, 543, 1907, 6954, 3070, 585, 2656, 267, 4674, 1652, 267, 543, 10375, 11443, 689, 519, 2361, 998, 547, 519, 17120, 269, 15379, 19698, 666, 4061, 581, 3710, 3362, 543, 1942, 13716, 1947, 563, 1103, 6850, 14482, 1013, 673, 1949, 267, 7542, 337, 2737, 2709, 1082, 5383, 1107, 1312, 2964, 1227, 543, 30788, 269, 13966, 609, 1164, 7779, 2326, 543, 2645, 267, 5730, 4393, 568, 513, 2596, 32563, 585, 19993, 543, 1942, 15807, 2164, 269, 2060, 891, 4170, 538, 2247, 267, 7542, 337, 2737, 2087, 11443, 4398, 3648, 563, 19530, 713, 2985, 1923, 661, 17733, 713, 2985, 454, 20524, 519, 2104, 540, 4702, 2221, 454, 12606, 513, 5299, 540, 938, 3059, 12139, 0, 296, 723, 3893, 1079, 2055, 563, 268, 4208, 798, 5354, 540, 7489, 1004, 723, 3109, 4552, 888, 268, 4208, 798, 5354, 540, 1004, 689, 519, 7187, 2477, 630, 306, 15634, 523, 267, 16157, 267, 18940, 264, 723, 1769, 630, 326, 1245, 523, 264, 4552, 888, 12552, 585, 606, 2626, 563, 5472, 1004, 1810, 1405, 723, 1346, 4552, 4778, 269, 2353, 1004, 689, 1346, 8832, 2477, 5749, 1405, 1025, 1180, 267, 543, 972, 616, 1025, 1180, 1004, 3544, 540, 8832, 2342, 282, 594, 1810, 1405, 917, 952, 596, 1293, 9253, 6951, 2103, 607, 834, 2026, 1014, 2580, 855, 789, 723, 1025, 1180, 1004, 1851, 873, 912, 26170, 282, 972, 616, 1079, 267, 2731, 1614, 267, 1114, 5686, 540, 4267, 547, 713, 1826, 540, 2243, 563, 272, 264, 5274, 5095, 8428, 998, 4351, 20847, 543, 1028, 677, 894, 20282, 281, 5095, 602, 616, 9674, 786, 1020, 1114, 13592, 936, 942, 602, 1118, 873, 1413, 1114, 267, 543, 1114, 5095, 949, 1265, 1114, 7592, 10694, 630, 10175, 7592, 602, 1665, 873, 607, 851, 540, 602, 2551, 1070, 799, 1131, 960, 547, 24244, 1346, 3604, 1256, 950, 519, 5095, 2170, 269, 1703, 568, 1100, 2620, 2601, 585, 1346, 7592, 824, 982, 834, 7474, 15817, 5949, 547, 2049, 543, 3262, 998, 713, 2551, 8487, 273, 264, 15742, 7592, 616, 811, 610, 1447, 3730, 538, 1114, 5054, 267, 543, 3976, 786, 3262, 998, 2067, 5542, 269, 634, 3390, 1934, 568, 602, 713, 568, 519, 2186, 540, 7778, 1004, 16022, 569, 2648, 630, 22336, 3017, 1590, 723, 513, 2601, 585, 922, 6228, 264, 855, 621, 781, 2965, 1360, 2182, 547, 5094, 621, 689, 519, 1101, 7778, 563, 274, 264, 15742, 7592, 666, 581, 2808, 834, 16058, 12413, 5435, 2580, 607, 538, 519, 1455, 22660, 540, 3425, 1185, 621, 267, 1034, 3425, 1869, 723, 621, 267, 865, 519, 2243, 540, 834, 25585, 1281, 513, 1480, 2551, 723, 713, 16023, 257, 568, 1447, 4143, 982, 834, 25585, 798, 930, 1480, 5095, 711, 723, 713, 16023, 8487, 3383, 2348, 1767, 602, 267, 3109, 4552, 4667, 899, 519, 5693, 18577, 1533, 267, 543, 865, 7489, 5095, 4440, 723, 3109, 4552, 585, 519, 1482, 2601, 3592, 782, 1480, 5095, 723, 3109, 4552, 269, 1656, 3109, 4552, 4667, 1455, 538, 1390, 3284, 525, 538, 2489, 910, 2107, 836, 7780, 753, 616, 519, 1152, 9868, 594, 666, 1589, 540, 563, 2026, 585, 8832, 17417, 267, 1025, 1180, 4552, 543, 3043, 2960, 616, 2965, 835, 540, 1346, 7592, 1141, 621, 781, 2182, 547, 5094, 4351, 8390, 689, 2067, 5542, 269, 898, 568, 3833, 2693, 972, 616, 5383, 547, 1373, 4023, 538, 1164, 4234, 6421, 1141, 972, 568, 2370, 7943, 282, 596, 991, 1447, 4027, 689, 519, 3141, 538, 519, 1101, 1747, 267, 543, 596, 991, 547, 581, 2111, 547, 1205, 2614, 6171, 667, 689, 7943, 593, 519, 824, 269, 1717, 713, 10039, 1454, 811, 15069, 547, 2960, 982, 547, 4552, 269, 2349, 1180, 4552, 568, 519, 1267, 540, 1360, 1906, 13592, 267, 799, 616, 2219, 547, 723, 7902, 1472, 476, 1556, 267, 1822, 1296, 3516, 269, 1924, 621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1296, 269, 1284, 8661, 519, 4674, 267, 519, 22920, 267, 543, 519, 6643, 269, 5556, 17894, 267, 674, 24746, 12200, 4589, 3034, 763, 3370, 1568, 10268, 2630, 2099, 11995, 3108, 540, 1382, 543, 1565, 607, 1134, 607, 15093, 267, 11428, 267, 543, 27497, 269, 1358, 849, 13686, 519, 4763, 543, 3099, 540, 14172, 693, 8419, 3557, 2160, 269, 1284, 7249, 7806, 3634, 519, 4589, 593, 741, 2182, 960, 543, 1713, 7418, 547, 14172, 2336, 10527, 23905, 616, 30590, 547, 5431, 543, 8661, 938, 674, 24746, 22439, 269, 634, 5137, 540, 1007, 1702, 543, 14172, 568, 606, 1271, 9740, 543, 621, 568, 2523, 3617, 585, 519, 23905, 547, 5431, 543, 8956, 938, 12200, 543, 8190, 741, 14046, 1568, 2223, 1767, 717, 1446, 661, 1206, 577, 2742, 1512, 267, 632, 534, 540, 674, 24746, 23905, 563, 3918, 4596, 294, 301, 22003, 5058, 5990, 29706, 13993, 23360, 3633, 20796, 298, 5508, 674, 24746, 674, 3722, 17109, 312, 6730, 5254, 288, 13697, 454, 7628, 519, 3923, 540, 5988, 267, 649, 8661, 1271, 2818, 540, 519, 4563, 2146, 945, 616, 3743, 585, 5935, 519, 1686, 540, 519, 2136, 2276, 269, 898, 568, 1271, 602, 649, 8661, 741, 17284, 538, 782, 3344, 269, 901, 3923, 649, 616, 14120, 4563, 4589, 543, 10223, 14758, 8153, 4589, 945, 5206, 6909, 2835, 538, 1840, 547, 1346, 945, 1500, 1686, 269, 2142, 2386, 547, 2638, 873, 856, 256, 2608, 15703, 540, 519, 2835, 6074, 585, 713, 1592, 616, 21433, 689, 634, 9177, 2376, 267, 476, 1321, 10815, 518, 19612, 18771, 3367, 338, 689, 3776, 674, 2948, 924, 4563, 6468, 19536, 267, 799, 2934, 1148, 543, 9913, 676, 543, 585, 4563, 2021, 563, 2026, 649, 1935, 602, 17681, 5988, 9702, 267, 938, 2319, 3893, 3206, 827, 519, 1483, 2495, 540, 968, 331, 913, 892, 543, 519, 1082, 3029, 543, 2010, 621, 3217, 269, 2755, 7363, 649, 3895, 519, 11509, 8941, 540, 9956, 543, 22956, 590, 1706, 802, 267, 713, 1032, 649, 2461, 3257, 1919, 8335, 543, 10223, 10853, 2984, 540, 11509, 267, 3531, 4577, 267, 543, 1582, 2000, 913, 256, 6744, 856, 938, 15813, 2542, 1592, 2630, 602, 8711, 930, 711, 27940, 1922, 8543, 339, 1446, 2648, 2984, 2336, 28716, 5391, 8807, 24175, 12975, 543, 946, 519, 18280, 690, 9612, 4183, 547, 1413, 909, 17161, 689, 519, 1433, 2140, 269, 5590, 707, 3406, 12086, 547, 968, 324, 9248, 892, 547, 7522, 1524, 707, 3406, 2164, 563, 9199, 767, 998, 519, 9059, 540, 2835, 713, 5162, 2736, 256, 17949, 891, 16887, 13603, 2835, 827, 1187, 9035, 1472, 519, 1158, 269, 2422, 707, 9345, 547, 2951, 609, 519, 3197, 543, 1995, 1018, 519, 1158, 814, 547, 2709, 689, 519, 4313, 543, 3106, 540, 707, 1378, 1753, 269, 7490, 581, 3743, 1282, 2736, 543, 1246, 519, 2556, 4808, 547, 2149, 3054, 543, 1866, 2336, 12396, 308, 23905, 32524, 609, 3220, 269, 10370, 2738, 599, 23514, 9469, 267, 23885, 8381, 13665, 267, 543, 1200, 1382, 2319, 547, 6718, 476, 1911, 1453, 779, 2835, 602, 1445, 593, 6689, 11648, 2833, 269, 1452, 2835, 1397, 875, 1453, 616, 4299, 676, 11648, 543, 2488, 5813, 883, 875, 1453, 779, 3332, 9607, 519, 1888, 269, 3509, 540, 891, 2835, 666, 581, 1336, 538, 519, 19565, 4015, 4092, 538, 519, 4144, 2350, 3163, 7732, 269, 9612, 519, 5399, 17048, 585, 519, 17161, 11648, 543, 11174, 543, 2824, 4144, 2350, 3163, 7732, 607, 519, 4087, 563, 13425, 856, 938, 3059, 1433, 4159, 2813, 538, 5698, 609, 519, 4741, 585, 2657, 31197, 543, 25682, 779, 11557, 543, 21727, 10432, 269, 1677, 2070, 2621, 2404, 609, 1142, 1641, 267, 4945, 593, 519, 5409, 15062, 539, 3296, 26333, 269, 7427, 873, 593, 17749, 585, 811, 2621, 256, 0, 268, 4208, 568, 1404, 1271, 538, 519, 7690, 18001, 888, 268, 1548, 616, 519, 13210, 540, 1565, 888, 268, 1548, 616, 519, 2640, 540, 1565, 998, 1404, 888, 268, 1215, 1281, 1404, 3986, 1453, 779, 1565, 888, 268, 1548, 568, 519, 2078, 1063, 1404, 543, 1565, 888, 268, 1548, 616, 519, 1883, 3741, 540, 1404, 888, 268, 1215, 1281, 1404, 948, 5876, 888, 268, 1548, 1281, 1565, 998, 1404, 1611, 888, 268, 1215, 1281, 1404, 1489, 519, 476, 275, 13210, 888, 268, 1215, 1281, 1565, 2049, 538, 519, 2634, 888, 268, 1772, 1404, 1759, 1565, 2500, 888, 268, 1548, 616, 519, 476, 276, 5933, 540, 1404, 888, 268, 1548, 568, 519, 2956, 540, 1404, 888, 268, 1215, 798, 596, 5000, 1565, 547, 1404, 888, 268, 1548, 568, 519, 3017, 1063, 1404, 1759, 1565, 543, 1863, 1404, 888, 268, 1548, 568, 513, 2178, 5748, 888, 268, 4208, 568, 9205, 1404, 1271, 585, 1453, 779, 1646, 888, 3963, 568, 1404, 1271, 538, 519, 7690, 18001, 888, 25440, 568, 606, 1271, 851, 540, 513, 1126, 779, 2038, 1646, 563, 5522, 11691, 2337, 1762, 1453, 779, 12058, 547, 1020, 543, 585, 741, 1893, 543, 2792, 1983, 547, 9921, 563, 5445, 4001, 1762, 1453, 827, 2792, 267, 1020, 741, 5179, 1983, 543, 948, 609, 1966, 9010, 10756, 1432, 616, 519, 13210, 540, 1565, 888, 763, 9050, 25043, 540, 2048, 1692, 6496, 4804, 19732, 523, 286, 2048, 1215, 6496, 4804, 19732, 523, 286, 568, 6896, 1472, 2185, 13654, 2175, 602, 616, 2808, 547, 581, 1898, 547, 6099, 1565, 543, 2635, 1646, 585, 1453, 281, 5617, 784, 532, 267, 4270, 5630, 267, 22580, 267, 543, 20309, 563, 1432, 616, 519, 2640, 540, 1565, 998, 1404, 888, 763, 11588, 540, 4804, 3414, 7591, 19370, 6061, 543, 1565, 2014, 543, 1198, 269, 13981, 875, 547, 1404, 609, 1866, 998, 14207, 267, 4655, 6571, 543, 4687, 269, 14946, 618, 540, 5386, 543, 14407, 5179, 1983, 12991, 4669, 1005, 741, 5876, 543, 9345, 6185, 4593, 1478, 532, 741, 7115, 543, 2318, 1582, 12635, 563, 1692, 1281, 1404, 3986, 1453, 779, 1565, 888, 13981, 998, 1404, 269, 7591, 568, 835, 540, 519, 1292, 2081, 538, 799, 1453, 1451, 543, 1020, 269, 2560, 7591, 2337, 547, 20741, 9345, 543, 2285, 513, 1126, 513, 2631, 540, 7045, 269, 3414, 713, 267, 789, 666, 1451, 1898, 1983, 971, 607, 1966, 6061, 267, 2324, 609, 1866, 267, 4687, 543, 1454, 811, 563, 1432, 568, 519, 2078, 1063, 1404, 543, 1565, 888, 12867, 2303, 602, 1404, 568, 513, 3844, 12146, 538, 1565, 267, 3850, 1453, 547, 708, 10028, 2937, 5615, 267, 2259, 5179, 1983, 267, 1184, 3929, 2621, 267, 543, 1451, 1454, 827, 741, 1158, 269, 2290, 3364, 1404, 568, 711, 267, 568, 9992, 643, 565, 748, 563, 1432, 616, 519, 1883, 3741, 540, 1404, 888, 5472, 1453, 543, 1762, 1004, 991, 547, 1404, 269, 634, 20949, 547, 1404, 568, 17916, 269, 7591, 568, 513, 6211, 267, 5626, 543, 1514, 13766, 267, 543, 568, 4909, 547, 519, 2635, 1646, 543, 1134, 5630, 540, 2043, 543, 2950, 269, 7591, 568, 513, 1184, 602, 568, 11884, 6074, 267, 13948, 9859, 543, 11371, 1231, 1227, 12592, 563, 1692, 1281, 1404, 948, 5876, 888, 25440, 2636, 1367, 547, 5838, 519, 5876, 538, 513, 1978, 1259, 269, 898, 2636, 1268, 547, 3605, 1946, 543, 875, 1919, 616, 2944, 1369, 513, 1978, 5943, 610, 4466, 1007, 267, 1114, 3435, 547, 621, 269, 2560, 29892, 3340, 3007, 267, 10343, 540, 519, 7164, 267, 3091, 519, 4161, 543, 1020, 519, 2702, 547, 946, 3860, 3206, 563, 1432, 1281, 1565, 998, 1404, 1611, 888, 13981, 998, 1404, 568, 513, 2165, 1031, 538, 2069, 543, 6530, 547, 4766, 875, 513, 1126, 666, 1451, 547, 1118, 2631, 540, 519, 1158, 1472, 873, 269, 3414, 1404, 1453, 666, 1020, 1514, 543, 5042, 1983, 267, 9921, 14156, 267, 543, 2744, 519, 1582, 21873, 2838, 547, 4497, 538, 1007, 2833, 543, 5054, 563, 1692, 1281, 1404, 1489, 519, 476, 275, 13210, 888, 2108, 7437, 1404, 543, 14374, 267, 1762, 1453, 2259, 2081, 540, 1565, 543, 15025, 609, 519, 1158, 1472, 873, 602, 789, 786, 4019, 2429, 741, 2729, 269, 2560, 3776, 6437, 267, 11255, 543, 856, 1673, 3233, 5054, 616, 5402, 6896, 1472, 519, 2185, 13210, 540, 1565, 281, 10362, 267, 1134, 5630, 267, 6278, 267, 543, 4082, 563, 1692, 1281, 1565, 2049, 538, 519, 2634, 888, 2419, 4474, 519, 2634, 281, 1280, 6099, 1565, 547, 2049, 267, 519, 2634, 2115, 2175, 896, 799, 621, 568, 2111, 547, 1689, 538, 3210, 547, 15128, 630, 928, 1755, 27415, 640, 264, 543, 2111, 547, 3132, 1007, 11409, 630, 928, 1755, 2102, 8412, 1040, 634, 1034, 2500, 1565, 3322, 16461, 1746, 2789, 4525, 540, 519, 2634, 585, 519, 1565, 4305, 563, 3674, 1404, 1759, 1565, 2500, 888, 1103, 1404, 2861, 3292, 267, 942, 6170, 538, 1404, 568, 2938, 607, 1271, 585, 1565, 267, 711, 607, 513, 8007, 585, 1434, 7180, 269, 769, 971, 13460, 267, 1453, 723, 3152, 267, 811, 3742, 3403, 883, 1018, 543, 875, 789, 1451, 269, 3194, 2982, 1404, 2861, 3292, 585, 1762, 1453, 666, 1683, 513, 2178, 4493, 585, 2663, 1967, 693, 1153, 563, 1432, 616, 519, 476, 276, 5933, 540, 1404, 888, 1607, 1592, 6941, 875, 1453, 779, 1404, 2242, 676, 2085, 607, 789, 1332, 543, 1020, 1514, 1983, 269, 4462, 31039, 7591, 630, 289, 9500, 268, 274, 3933, 2195, 264, 2560, 3752, 3202, 7591, 630, 289, 9500, 268, 273, 13012, 264, 2560, 15190, 1807, 270, 4002, 19972, 518, 10263, 630, 273, 13012, 264, 2560, 23155, 7591, 630, 273, 266, 13012, 264, 2560, 21133, 7591, 630, 274, 268, 275, 13012, 264, 2560, 31913, 7591, 630, 275, 266, 1296, 994, 1432, 568, 519, 2956, 540, 1404, 888, 25440, 2636, 1453, 547, 946, 741, 5876, 1247, 3384, 741, 9345, 267, 32609, 614, 640, 267, 543, 2168, 267, 5042, 267, 543, 3929, 4222, 269, 7591, 568, 1271, 547, 2635, 2634, 1646, 269, 898, 568, 998, 1404, 602, 1453, 693, 513, 1360, 2038, 2085, 4497, 543, 2170, 538, 519, 1158, 1472, 873, 563, 1692, 798, 596, 5000, 1565, 547, 1404, 888, 279, 2081, 547, 32754, 4804, 3414, 7591, 281, 307, 1779, 547, 707, 1126, 1169, 4960, 596, 1205, 1282, 1404, 5503, 269, 2560, 7591, 23166, 707, 1126, 269, 2560, 4518, 593, 32649, 269, 2560, 1715, 2833, 948, 609, 5042, 1646, 2507, 2560, 17166, 1434, 25742, 547, 1775, 28830, 267, 543, 3442, 9162, 602, 6536, 1893, 1646, 602, 2154, 811, 12879, 585, 1404, 5861, 1021, 543, 1198, 568, 519, 14724, 1106, 540, 1565, 21457, 3688, 2507, 31220, 1432, 568, 519, 3017, 1063, 1404, 1759, 1565, 543, 1863, 1404, 888, 13981, 568, 711, 2556, 585, 606, 2534, 547, 581, 9228, 607, 1404, 855, 3788, 4909, 547, 519, 4214, 540, 1404, 2861, 1565, 277, 10738, 2090, 602, 723, 8947, 519, 2640, 540, 1404, 2861, 1565, 267, 1079, 1114, 2010, 540, 1404, 723, 1044, 519, 3119, 1445, 281, 1863, 1404, 267, 799, 568, 9859, 676, 519, 1453, 2933, 267, 278, 6693, 1432, 568, 513, 2178, 5748, 888, 1103, 1931, 547, 723, 1434, 1883, 3347, 538, 707, 1272, 267, 596, 991, 2178, 13210, 269, 2334, 1797, 2348, 1434, 2792, 1983, 267, 513, 1390, 4390, 585, 2648, 267, 6568, 543, 865, 593, 269, 1403, 596, 1616, 547, 4309, 267, 596, 723, 547, 917, 875, 547, 2285, 269, 1403, 596, 1616, 547, 581, 23518, 676, 824, 1004, 267, 596, 1590, 7668, 824, 1004, 563, 3963, 568, 9205, 1404, 1271, 585, 1453, 779, 1646, 888, 5522, 11691, 3544, 568, 1187, 267, 3078, 543, 1271, 585, 1453, 779, 1565, 543, 1646, 269, 2560, 634, 1390, 13964, 3947, 1453, 7899, 547, 2263, 269, 1358, 3580, 9784, 519, 5191, 543, 2230, 519, 13964, 3947, 873, 547, 22551, 267, 7914, 267, 2196, 1472, 267, 5577, 543, 18178, 269, 9861, 3544, 568, 606, 3078, 10444, 1995, 585, 9002, 543, 20854, 269, 0, 2005, 568, 4502, 15663, 602, 2527, 2528, 568, 513, 1888, 9763, 8335, 676, 1585, 5640, 269, 6206, 2127, 540, 1353, 1331, 519, 1909, 540, 2527, 2528, 538, 519, 3157, 540, 30222, 543, 24339, 26494, 269, 2755, 930, 2798, 540, 2070, 2543, 2528, 607, 606, 7533, 543, 21465, 3815, 540, 11944, 543, 32351, 540, 24339, 26494, 267, 1866, 8044, 602, 2528, 814, 930, 9756, 855, 711, 21465, 2360, 593, 9111, 269, 4033, 1543, 1190, 2152, 593, 519, 11944, 543, 32351, 540, 9111, 1331, 13313, 267, 2804, 1646, 267, 543, 2797, 5784, 563, 14588, 32496, 585, 596, 454, 1721, 1152, 1269, 1626, 269, 4962, 1269, 1556, 270, 2457, 454, 6097, 547, 513, 8313, 267, 16016, 548, 28496, 543, 21969, 29992, 630, 272, 268, 24833, 1070, 2649, 1043, 543, 10423, 2242, 616, 2921, 1747, 538, 2797, 267, 1514, 267, 543, 4638, 3344, 540, 519, 2022, 11897, 12009, 7239, 269, 589, 18476, 2460, 540, 1689, 538, 6214, 543, 5718, 568, 1818, 2413 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 739, 9166, 280, 9574, 1477, 1038, 27835, 340, 9166, 278, 10086, 341, 9166, 279, 10086, 322, 739, 9166, 273, 9574, 1477, 1038, 27835, 340, 9166, 278, 10086, 341, 9166, 280, 10086, 322, 739, 9166, 273, 9574, 1477, 1038, 27835, 340, 9166, 279, 10086, 341, 9166, 280, 10086, 322, 739, 9166, 275, 9574, 1477, 1038, 27835, 340, 9166, 279, 10086, 341, 9166, 1015, 10086, 322, 739, 9166, 277, 9574, 1477, 1038, 27835, 340, 9166, 280, 10086, 341, 9166, 1015, 10086, 322, 739, 9166, 274, 9574, 1477, 825, 9948, 1477, 10142, 258, 544, 560, 284, 1440, 15501, 14116, 3418, 0, 3698, 9352, 318, 14142, 10857, 267, 3077, 8029, 825, 2539, 815, 476, 271, 1948, 634, 9803, 4994, 3077, 1223, 723, 1477, 825, 5580, 815, 7003, 10857, 264, 910, 476, 272, 1948, 634, 5207, 4994, 3077, 1223, 723, 5897, 825, 1247, 2539, 10922, 5580, 281, 1948, 1403, 2539, 3436, 5580, 267, 3077, 568, 711, 1934, 1477, 1038, 4571, 815, 630, 12294, 1341, 5580, 264, 12262, 476, 273, 1948, 7994, 519, 30268, 540, 2539, 543, 5580, 1477, 24541, 1038, 952, 561, 314, 13232, 316, 2652, 3077, 281, 1948, 1879, 649, 1265, 519, 3077, 1477, 2018, 2132, 4571, 1948, 17776, 519, 4994, 1477, 1038, 8640, 3077, 2999, 561, 314, 13232, 13912, 1948, 27010, 568, 2630, 519, 1647, 267, 2539, 519, 2039, 1477, 2018, 5580, 815, 4571, 910, 476, 272, 1477, 1038, 3116, 6769, 2018, 2539, 815, 4571, 1341, 476, 272, 1948, 19227, 267, 519, 5580, 2039, 1477, 24541, 825, 2132, 910, 272, 1948, 1403, 3077, 3884, 1405, 1336, 267, 2132, 910, 272, 5897, 3698, 9352, 318, 14142, 10857, 267, 3077, 8029, 825, 952, 7003, 10857, 264, 2652, 476, 272, 6769, 1038, 952, 561, 314, 271, 316, 2652, 3077, 6769, 2018, 2132, 476, 271, 1477, 1038, 3116, 6769, 2018, 2132, 910, 272, 1477, 825, 952, 7003, 10857, 264, 2652, 476, 271, 6769, 1038, 2132, 910, 272, 5897, 825, 2539, 815, 476, 271, 1477, 825, 5580, 815, 7003, 10857, 264, 910, 476, 272, 1477, 825, 4571, 815, 5580, 12262, 476, 273, 5897, 825, 952, 561, 314, 13232, 316, 2652, 3077, 281, 1948, 1879, 649, 1265, 519, 3077, 1477, 1038, 2132, 4571, 1948, 17776, 519, 4994, 1477, 825, 8640, 3077, 2999, 561, 314, 13232, 13912, 1948, 27010, 568, 2630, 519, 1647, 267, 2539, 519, 2039, 1477, 1038, 5580, 815, 4571, 910, 476, 272, 1477, 825, 3116, 6769, 1038, 2539, 815, 4571, 1341, 476, 272, 1948, 19227, 267, 519, 5580, 2039, 5897, 825, 1775, 815, 9352, 318, 14142, 10857, 314, 12294, 281, 21639, 3910, 3077, 3418, 825, 952, 1775, 2652, 910, 272, 6769, 1038, 2132, 1775, 1477, 825, 3116, 6769, 1038, 2132, 1775, 1341, 2539, 5897, 331, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 15947, 2745, 6357, 2435, 318, 14142, 10857, 267, 476, 279, 17903, 0, 5228, 2979, 1104, 1102, 267, 6912, 1948, 5590, 6843, 9883, 547, 1102, 640, 267, 5173, 533, 17233, 9883, 5897, 3698, 4230, 541, 14116, 1429, 267, 25899, 25722, 13759, 267, 515, 22618, 8029, 825, 5727, 8489, 3113, 568, 519, 3113, 547, 1265, 513, 2619, 998, 267, 2707, 543, 3077, 616, 519, 1376, 543, 1439, 6843, 476, 6342, 6606, 543, 646, 22618, 568, 513, 1599, 602, 7024, 513, 25948, 1871, 8204, 606, 7447, 540, 519, 3845, 547, 513, 3077, 6843, 689, 513, 2707, 6843, 267, 16561, 519, 3113, 543, 476, 6342, 540, 3077, 543, 6843, 547, 1449, 27969, 5897, 825, 6806, 5332, 3941, 17342, 15947, 825, 1930, 5332, 3941, 17342, 316, 5897, 825, 585, 6843, 538, 3113, 8542, 3941, 6769, 1038, 6843, 6155, 626, 284, 8882, 1948, 1253, 568, 519, 3845, 689, 519, 2707, 6843, 547, 713, 6843, 1477, 1038, 6843, 6745, 5091, 626, 284, 8882, 1948, 512, 5091, 626, 568, 519, 3845, 547, 519, 3077, 6843, 998, 713, 6843, 1477, 1038, 6843, 269, 2181, 341, 22561, 1477, 24541, 825, 1930, 5332, 3941, 6910, 14116, 1429, 10947, 17045, 4433, 1830, 4297, 1948, 21231, 267, 519, 1152, 1930, 6843, 568, 519, 2707, 1477, 825, 3113, 10947, 17045, 4433, 1830, 1040, 23251, 284, 271, 1948, 20028, 547, 519, 2707, 568, 476, 271, 1477, 825, 3113, 10947, 17045, 4433, 1830, 1040, 339, 5091, 626, 284, 515, 22618, 14116, 1429, 267, 25899, 25722, 13759, 264, 1948, 3776, 3845, 547, 519, 3077, 568, 2016, 9003, 676, 938, 646, 22618, 5897, 825, 1247, 1930, 5332, 3941, 281, 1948, 1306, 1279, 607, 649, 723, 9136, 547, 3406, 1477, 1038, 1699, 284, 2381, 263, 13449, 5332, 3941, 267, 4486, 284, 14433, 737, 281, 330, 6745, 5091, 626, 264, 1948, 3400, 321, 519, 6843, 609, 519, 9803, 3845, 689, 519, 2707, 1477, 1038, 952, 1699, 269, 1211, 2525, 339, 13759, 281, 1948, 1403, 649, 1336, 519, 3077, 1477, 2018, 6843, 284, 9690, 1477, 2018, 2619, 17342, 15947, 2018, 1247, 6843, 281, 1948, 8073, 513, 5569, 6029, 519, 2619, 4553, 1477, 3546, 2619, 6910, 6600, 262, 346, 27161, 269, 1211, 348, 630, 346, 27161, 6155, 626, 16585, 3436, 1412, 3418, 3546, 6843, 284, 27161, 269, 2181, 341, 1477, 2018, 2619, 18622, 2091, 3890, 21506, 2018, 5569, 284, 5257, 269, 21860, 9638, 987, 3418, 2018, 2132, 5569, 314, 271, 281, 6352, 30415, 9984, 274, 316, 1948, 6215, 823, 1055, 519, 1412, 3436, 1412, 693, 519, 1439, 5897, 1038, 1930, 5332, 3941, 31927, 263, 9690, 264, 1948, 19227, 267, 4894, 713, 6843, 689, 519, 7535, 540, 1930, 9136, 21506, 1038, 6806, 5332, 3941, 6910, 263, 9690, 264, 1948, 5410, 621, 547, 519, 7535, 540, 6806, 9136, 5897, 1038, 585, 6316, 538, 3113, 269, 31371, 321, 2293, 263, 9690, 269, 1211, 2567, 1948, 1280, 1142, 6316, 15700, 713, 6843, 1477, 2018, 824, 284, 23054, 10947, 17045, 263, 8354, 269, 1278, 263, 9690, 269, 1211, 4297, 1948, 5192, 519, 824, 6843, 593, 519, 6316, 1477, 17264, 1477, 2018, 952, 824, 538, 6806, 5332, 3941, 281, 1948, 1403, 713, 6843, 814, 1044, 21845, 1477, 3546, 3136, 1948, 10426, 1477, 2018, 5621, 284, 9690, 6155, 626, 266, 8354, 6983, 739, 1948, 19227, 267, 3313, 519, 3845, 540, 713, 6843, 689, 2707, 1477, 2018, 952, 824, 711, 538, 1930, 5332, 3941, 281, 1948, 1403, 922, 711, 538, 1930, 9136, 21506, 3546, 1930, 5332, 3941, 6910, 263, 1278, 264, 1948, 1284, 1336, 513, 1007, 6843, 1477, 2018, 8640, 5621, 13843, 824, 6745, 5091, 626, 281, 1948, 19227, 267, 952, 713, 8905, 568, 3476, 1477, 3546, 3136, 1948, 10426, 5897, 2018, 824, 269, 2181, 341, 284, 9690, 1948, 901, 6843, 568, 593, 513, 2619, 267, 998, 1699, 1477, 2018, 824, 6155, 626, 284, 5306, 1948, 898, 568, 5621, 2484, 689, 2707, 1477, 2018, 824, 6745, 5091, 626, 284, 9690, 6155, 626, 266, 515, 22618, 14116, 1429, 267, 1278, 269, 1211, 25722, 13759, 264, 1948, 20976, 1493, 922, 3845, 609, 646, 22618, 1477, 17264, 5897, 3698, 533, 17233, 14116, 1429, 267, 25899, 25722, 13759, 8029, 825, 5727, 11693, 513, 3113, 543, 476, 273, 6843, 476, 6342, 689, 602, 3113, 267, 2707, 543, 3077, 267, 609, 9136, 28429, 25948, 3601, 1535, 543, 586, 267, 2132, 519, 533, 17233, 17671, 3845, 689, 2707, 3077, 27969, 1477, 825, 1535, 272, 284, 23054, 10947, 17045, 4433, 1830, 1040, 343, 1477, 825, 586, 272, 284, 23054, 10947, 17045, 4433, 1830, 1040, 344, 1477, 825, 1535, 273, 284, 23054, 10947, 17045, 6025, 13759, 1040, 343, 1477, 825, 586, 273, 284, 23054, 10947, 17045, 6025, 13759, 1040, 344, 1477, 825, 513, 284, 10946, 8443, 343, 272, 21726, 273, 8079, 268, 2381, 8443, 343, 272, 21726, 273, 29573, 825, 536, 284, 10946, 8443, 344, 272, 11971, 273, 8079, 268, 2381, 8443, 344, 272, 11971, 273, 29573, 825, 2132, 21762, 5416, 1262, 273, 17070, 1262, 273, 3418, 0, 258, 570, 545, 910, 570, 659, 910, 1677, 324, 454, 258, 476, 272, 269, 1284, 991, 547, 1820, 513, 4604, 563, 258, 476, 273, 269, 6875, 538, 6345, 3403, 563, 258, 476, 274, 269, 9255, 741, 3403, 593, 519, 4604, 563, 258, 476, 275, 269, 6744, 952, 519, 3014, 568, 4465, 25722, 1221, 267, 4503, 267, 610, 5571, 563, 258, 476, 276, 269, 19244, 524, 543, 546, 2394, 519, 3014, 814, 1044, 4465, 610, 13615, 563, 258, 476, 277, 269, 9105, 952, 5716, 1616, 547, 1404, 1586, 563, 692, 258, 29514, 4632, 454, 4580, 815, 18358, 12887, 12887, 12887, 12887, 12887, 12887, 12887, 12887, 3299, 5257, 2639, 4580, 318, 21752, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 2639, 16651, 5825, 539, 303, 657, 1431, 291, 597, 815, 27835, 311, 9166, 32582, 2073, 1412, 302, 9166, 32582, 8679, 1326, 32156, 272, 8266, 815, 314, 2639, 1326, 32156, 273, 8266, 815, 314, 2639, 684, 3405, 651, 1042, 14006, 687, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 2639, 7773, 940, 8266, 815, 20886, 278, 267, 276, 267, 274, 25662, 280, 267, 276, 267, 272, 25662, 278, 267, 279, 267, 280, 25662, 275, 267, 276, 267, 277, 25662, 272, 267, 273, 267, 274, 25662, 278, 267, 275, 267, 272, 25662, 279, 267, 276, 267, 273, 25662, 280, 267, 277, 267, 274, 316, 6540, 258, 1599, 547, 1820, 606, 8900, 4604, 454, 3698, 4159, 318, 4580, 29033, 2187, 825, 1820, 6600, 262, 346, 4580, 314, 277, 316, 348, 1923, 2715, 4580, 314, 278, 316, 348, 1923, 2715, 4580, 314, 279, 316, 348, 5073, 825, 1820, 6600, 262, 346, 4580, 314, 274, 316, 348, 1923, 2715, 4580, 314, 275, 316, 348, 1923, 2715, 4580, 314, 276, 316, 348, 5073, 825, 1820, 6600, 262, 346, 4580, 314, 271, 316, 348, 1923, 2715, 4580, 314, 272, 316, 348, 1923, 2715, 4580, 314, 273, 316, 348, 17210, 258, 5575, 6345, 781, 15262, 5542, 454, 3698, 6345, 318, 5658, 518, 13911, 5353, 3005, 10031, 825, 15262, 13911, 815, 3403, 2891, 8923, 4584, 513, 15262, 1412, 311, 262, 610, 1412, 302, 9166, 281, 5602, 825, 1247, 16733, 5658, 518, 13911, 269, 21639, 3890, 11203, 476, 1412, 311, 10807, 543, 630, 5658, 518, 13911, 269, 21639, 3890, 11203, 1412, 302, 10807, 2187, 1038, 15262, 13911, 815, 3403, 2891, 8923, 4584, 1152, 1063, 1412, 311, 262, 610, 1412, 302, 9166, 281, 5602, 825, 2132, 15262, 13911, 269, 21639, 10797, 258, 273, 526, 24812, 9949, 15262, 5542, 1759, 593, 3689, 6345, 781, 3903, 454, 3698, 6345, 273, 318, 5658, 518, 263, 16651, 272, 15812, 518, 13911, 2187, 825, 6345, 273, 15812, 518, 13911, 815, 1412, 7055, 825, 952, 630, 16651, 272, 15812, 518, 13911, 2652, 262, 311, 262, 2187, 1038, 6345, 273, 15812, 518, 13911, 815, 1412, 302, 7055, 825, 3116, 10778, 1038, 6345, 273, 15812, 518, 13911, 815, 1412, 311, 7055, 825, 2132, 6345, 273, 15812, 518, 13911, 269, 21639, 10797, 258, 17004, 519, 4604, 1586, 1759, 593, 1699, 15262, 7158, 454, 3698, 1747, 318, 5658, 518, 263, 6570, 267, 5658, 518, 13911, 2187, 825, 4604, 314, 6570, 268, 272, 316, 815, 15262, 13911, 454, 825, 4159, 318, 4580, 29033, 2020, 258, 24066, 10663, 568, 519, 2990, 6074, 676, 6345, 8813, 1369, 476, 272, 268, 280, 7158, 543, 796, 268, 4310, 7158, 454, 3698, 6218, 318, 6570, 263, 6570, 2187, 825, 1247, 263, 6570, 711, 538, 630, 4580, 318, 21752, 543, 796, 3405, 651, 1042, 14006, 687, 15892, 1038, 1820, 2891, 2254, 513, 4570, 19024, 267, 5225, 8359, 1586, 5602, 1038, 2990, 815, 703, 9272, 2891, 16521, 707, 19024, 26012, 27328, 825, 2132, 2990, 692, 258, 24066, 10663, 952, 519, 3014, 814, 513, 12736, 1676, 20081, 773, 27798, 877, 568, 1869, 10396, 454, 3698, 6218, 318, 29228, 263, 16651, 272, 15812, 518, 267, 16651, 273, 15812, 518, 2187, 825, 1205, 32156, 272, 8266, 815, 6345, 5825, 539, 303, 657, 1431, 291, 597, 314, 16651, 272, 15812, 518, 2639, 825, 1205, 32156, 273, 8266, 815, 6345, 5825, 539, 303, 657, 1431, 291, 597, 314, 16651, 273, 15812, 518, 2639, 825, 1772, 32156, 272, 7773, 1676, 815, 1265, 332, 2255, 273, 263, 7773, 940, 8266, 267, 1326, 32156, 272, 8266, 994, 825, 1772, 32156, 273, 7773, 1676, 815, 1265, 332, 2255, 273, 263, 7773, 940, 8266, 267, 1326, 32156, 273, 8266, 994, 825, 952, 630, 3674, 32156, 272, 7773, 1676, 2652, 6936, 543, 1772, 32156, 273, 7773, 1676, 2652, 8771, 2187, 1038, 1820, 9497, 303, 6369, 312, 2207, 476, 272, 568, 654, 2562, 301, 2207, 5602, 1038, 2132, 6936, 454, 825, 8640, 630, 3674, 32156, 273, 7773, 1676, 2652, 6936, 543, 1772, 32156, 272, 7773 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1704, 692, 11693, 1269, 320, 14720, 315, 28254, 476, 271, 8961, 1577, 721, 2015, 519, 1599, 1269, 325, 3287, 6661, 343, 3867, 320, 12917, 272, 14870, 22722, 321, 4151, 593, 519, 8884, 1269, 314, 271, 267, 272, 316, 259, 563, 21132, 5021, 1871, 568, 2016, 676, 4399, 2765, 21151, 317, 320, 536, 317, 321, 2410, 263, 320, 17070, 22722, 320, 17070, 3686, 8961, 2094, 1269, 325, 262, 259, 1152, 8709, 8460, 693, 1269, 343, 7807, 2765, 21151, 2410, 320, 17070, 4151, 563, 2690, 1022, 1269, 335, 285, 271, 259, 649, 723, 6695, 347, 535, 315, 347, 318, 335, 317, 335, 815, 1422, 842, 3709, 271, 8703, 272, 26507, 3867, 11985, 12917, 272, 14870, 22722, 335, 321, 4153, 267, 11459, 7807, 2765, 3189, 294, 10397, 263, 777, 266, 272, 9385, 12101, 294, 10397, 6357, 335, 266, 272, 264, 7346, 294, 10397, 9230, 320, 17070, 264, 335, 266, 273, 264, 6525, 543, 519, 700, 9391, 568, 2845, 8410, 557, 343, 609, 2463, 547, 1269, 335, 10608, 1635, 6236, 602, 6695, 3916, 3709, 335, 29540, 1341, 315, 13727, 4153, 347, 325, 1422, 347, 318, 335, 815, 1422, 2765, 21151, 317, 320, 536, 317, 321, 2410, 263, 320, 17070, 22722, 320, 17070, 24995, 717, 2246, 338, 14024, 781, 8635, 7140, 856, 547, 581, 513, 2241, 12343, 540, 31992, 543, 513, 5078, 3903, 540, 519, 6724, 1269, 320, 14720, 28872, 10608, 0, 1012, 476, 1428, 24762, 28562, 609, 9338, 294, 3036, 18952, 300, 692, 1892, 4578, 12856, 454, 1892, 23990, 454, 1892, 667, 6347, 10819, 454, 1892, 12361, 4578, 23113, 1299, 27122, 5016, 288, 1239, 2497, 568, 513, 1259, 540, 13936, 543, 12180, 519, 1239, 543, 606, 5690, 568, 513, 1900, 676, 1900, 5650, 547, 547, 4194, 513, 1880, 1966, 780, 1892, 23990, 454, 1892, 5384, 29203, 454, 1892, 12361, 5384, 29203, 5811, 692, 11742, 29203, 568, 513, 10035, 270, 2079, 602, 568, 1031, 547, 3313, 875, 519, 1297, 540, 3268, 538, 606, 5690, 2333, 609, 519, 2333, 538, 3403, 2450, 780, 1892, 23990, 454, 1892, 9612, 532, 454, 1892, 12430, 9612, 454, 1892, 12361, 12430, 9612, 23990, 910, 9612, 532, 27122, 692, 1103, 12430, 9612, 267, 649, 29906, 519, 5044, 18615, 569, 547, 543, 2638, 952, 519, 3693, 568, 12805, 609, 519, 2016, 3077, 3693, 610, 711, 780, 1892, 23990, 454, 1892, 9612, 532, 454, 1892, 23030, 9612, 454, 1892, 12361, 23030, 9612, 23990, 692, 1103, 23030, 9612, 267, 649, 5635, 519, 3077, 3693, 609, 519, 1647, 3693, 540, 519, 2016, 15044, 5044, 543, 1759, 593, 519, 6364, 267, 649, 2417, 7941, 519, 5044, 883, 3368, 543, 3136, 2394, 649, 1265, 519, 2016, 3693, 692, 1892, 23990, 454, 1892, 590, 15659, 454, 1892, 12361, 32686, 1076, 23037, 23990, 692, 289, 889, 1076, 23037, 568, 519, 15864, 18570, 5690, 538, 799, 11105, 2609, 616, 3379, 609, 1142, 824, 543, 2220, 11474, 952, 519, 2609, 616, 711, 538, 1697, 1931, 780, 1892, 23990, 454, 1892, 590, 15659, 454, 1892, 19139, 23037, 454, 1892, 12361, 19139, 23037, 692, 5353, 3005, 23037, 23990, 1568, 676, 4466, 519, 5934, 3693, 540, 519, 5044, 543, 11093, 519, 1295, 3693, 693, 922, 2953, 2990, 692, 1892, 23990, 454, 1892, 590, 15659, 454, 1892, 8585, 613, 23037, 454, 1892, 12361, 8585, 613, 23037, 910, 590, 15659, 27122, 692, 300, 10235, 23037, 910, 590, 15659, 27122, 692, 1892, 23990, 454, 1892, 590, 15659, 454, 1892, 16797, 23037, 454, 1892, 12361, 16797, 23037, 910, 590, 15659, 27122, 692, 30022, 23037, 910, 590, 15659, 27122, 692, 1892, 23990, 454, 1892, 19147, 543, 1230, 20960, 13979, 454, 1892, 12361, 19147, 543, 1230, 20960, 13979, 692, 288, 7941, 7146, 8410, 20960, 5690, 16571, 1947, 9397, 1524, 513, 1966, 883, 1079, 610, 811, 1016, 2042, 540, 519, 1482, 610, 1644, 1826, 267, 2394, 891, 1831, 2241, 2614, 547, 581, 12193, 2047, 692, 1892, 23990, 454, 1892, 1234, 15479, 542, 454, 1892, 12361, 1234, 15479, 542, 23990, 692, 13434, 2720, 542, 568, 513, 1259, 540, 6061, 519, 2016, 1966, 3842, 6061, 519, 4130, 8747, 540, 519, 1482, 1966, 780, 1892, 23990, 454, 1892, 5565, 7313, 5793, 26435, 454, 1892, 12361, 5565, 7313, 5793, 26435, 692, 10521, 7313, 26262, 4480, 568, 5631, 1031, 547, 3406, 585, 1239, 538, 513, 2016, 1239, 2497, 269, 901, 11938, 4480, 2337, 547, 4194, 519, 1966, 7561, 543, 3927, 538, 2474, 540, 1312, 942, 543, 2230, 10848, 780, 1892, 667, 6347, 10819, 454, 1892, 23990, 454, 1892, 19147, 543, 1230, 20960, 13979, 454, 1892, 26275, 454, 1892, 12361, 4578, 23113, 1299, 27122, 10819, 692, 14737, 543, 7665, 540, 606, 5044, 692, 1862, 0, 288, 543, 645, 666, 798, 513, 4062, 540, 960, 538, 476, 1428, 2395, 282, 645, 543, 595, 538, 476, 1321, 2395, 282, 595, 543, 589, 538, 476, 736, 2395, 269, 1215, 1082, 2395, 786, 581, 3144, 676, 589, 267, 645, 543, 595, 692, 6872, 5784, 692, 743, 2216, 692, 288, 543, 645, 666, 798, 513, 4062, 540, 960, 538, 476, 1428, 2395, 282, 645, 543, 595, 538, 476, 1321, 2395, 282, 595, 543, 589, 538, 476, 736, 2395, 269, 1215, 1082, 2395, 786, 581, 3144, 676, 589, 267, 645, 543, 595, 2324, 1927, 547, 9096, 519, 960, 2496, 266, 272, 8917, 454, 2421, 630, 4029, 269, 271, 330, 2798, 994, 572, 21124, 676, 692, 10831, 540, 2395, 2838, 676, 589, 543, 645, 547, 9096, 519, 960, 2433, 476, 1428, 2395, 692, 10831, 540, 2395, 2838, 676, 589, 543, 645, 547, 9096, 519, 960, 2433, 476, 1321, 2395, 692, 10831, 540, 2395, 2838, 676, 589, 543, 645, 547, 9096, 519, 960, 2433, 476, 736, 2395, 692, 13480, 2944, 676, 589, 543, 645, 538, 835, 1554, 281, 1109, 7445, 2765, 346, 272, 2410, 1428, 10592, 13480, 2944, 676, 645, 543, 595, 538, 835, 1554, 281, 1109, 7445, 2765, 346, 272, 2410, 1321, 10592, 13480, 2944, 676, 595, 543, 589, 538, 835, 1554, 281, 1109, 7445, 2765, 346, 272, 2410, 736, 10592, 13480, 2944, 676, 630, 288, 543, 645, 264, 2073, 630, 289, 543, 595, 3738, 543, 630, 290, 543, 589, 264, 538, 835, 1554, 602, 568, 960, 2944, 676, 692, 10490, 1109, 266, 645, 264, 1341, 630, 289, 1341, 595, 264, 1341, 630, 290, 1341, 589, 264, 815, 476, 273, 10490, 1341, 645, 1341, 595, 264, 815, 1109, 7445, 2765, 346, 272, 2410, 1321, 23180, 2765, 346, 272, 2410, 1321, 23180, 2765, 346, 272, 2410, 736, 18098, 2765, 346, 1321, 2410, 2568, 18098, 2765, 346, 272, 2410, 276, 10592, 13480, 2944, 676, 589, 267, 645, 543, 595, 815, 1109, 7445, 2765, 346, 272, 2410, 273, 4153, 9392, 21702, 346, 272, 2410, 276, 18098, 2765, 346, 272, 2410, 1015, 10592, 30043, 1109, 5445, 666, 798, 519, 960, 538, 476, 1015, 2395, 0, 346, 314, 5401, 300, 20687, 9948, 10926, 9349, 5658, 621, 692, 346, 314, 5401, 300, 20687, 9948, 10926, 295, 16703, 30055, 272, 269, 279, 261, 2086, 282, 273, 269, 274, 692, 295, 16703, 30055, 272, 269, 279, 261, 2086, 282, 273, 269, 274, 910, 1715, 31000, 4569, 476, 26316, 11354, 476, 6734, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 6124, 31000, 4569, 476, 26316, 11354, 476, 6734, 14581, 3435, 281, 8791, 476, 272, 269, 279, 1948, 2918, 267, 476, 2767, 267, 476, 4029, 267, 8791, 476, 273, 269, 274, 1948, 4097, 267, 3607, 267, 4391, 267, 4343, 8791, 476, 272, 269, 279, 1948, 2918, 267, 2767, 267, 4029, 269, 476, 2918, 269, 2913, 579, 543, 642, 581, 31085, 4830, 10321, 538, 681, 476, 274, 543, 1577, 623, 581, 519, 7077, 998, 579, 2073, 642, 543, 476, 271, 1547, 634, 4164, 13011, 3830, 540, 623, 568, 1535, 815, 521, 579, 1341, 512, 642, 630, 5976, 521, 543, 512, 538, 681, 15426, 8058, 602, 513, 5276, 7004, 570, 2433, 681, 476, 274, 681, 476, 274, 7851, 623, 5196, 513, 7077, 998, 476, 271, 2073, 513, 1899, 998, 476, 271, 610, 5196, 1175, 519, 5169, 476, 271, 538, 681, 476, 274, 1547, 1548, 1590, 581, 3020, 827, 570, 630, 579, 3738, 543, 570, 630, 642, 3738, 538, 1931, 585, 519, 3239, 540, 519, 7077, 623, 547, 581, 513, 7077, 286, 1284, 1616, 547, 917, 519, 3239, 540, 623, 896, 570, 1547, 7102, 1448, 1535, 593, 623, 786, 723, 519, 1106, 1535, 815, 521, 579, 1341, 512, 642, 1141, 521, 543, 512, 616, 1483, 2338, 269, 1924, 570, 630, 1535, 3738, 815, 521, 307, 630, 579, 3738, 1341, 512, 307, 630, 642, 3738, 2073, 543, 570, 630, 623, 3738, 568, 519, 4015, 540, 782, 10321, 540, 519, 1106, 521, 307, 630, 579, 3738, 266, 512, 307, 630, 642, 3738, 1141, 521, 543, 512, 616, 1022, 1483, 1297, 269, 4935, 519, 3239, 540, 623, 896, 570, 568, 1975, 534, 2715, 570, 630, 579, 3738, 2073, 307, 630, 642, 3738, 7684, 1547, 4595, 972, 616, 1614, 2665, 585, 519, 12166, 6609, 540, 519, 12732, 540, 1079, 10321, 538, 681, 476, 274, 2073, 972, 616, 1614, 2665, 585, 519, 12166, 6609, 540, 519, 3239, 540, 623, 896, 570, 1547, 3689, 2715, 570, 630, 579, 3738, 2073, 307, 630, 642, 3738, 7684, 1223, 581, 4830, 267, 538, 799, 2013, 267, 519, 692, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 346, 314, 15165, 21574, 300, 20687, 9948, 10926, 17273, 272, 1315, 476, 273, 692, 295, 16703, 30055, 272, 269, 279, 261, 2086, 282, 273, 269, 274, 910, 1715, 31000, 4569, 476, 26316, 11354, 476, 6734, 13718, 1607, 12744, 2982, 3561, 3817, 476, 272, 910, 476, 273, 269, 6178, 909, 547, 2070, 519, 2407, 3561, 780, 8698, 9509, 11657, 454, 16485, 513, 6780, 2243, 910, 21493, 616, 2228, 0, 1012, 20145, 281, 7216, 3690, 25728, 550, 1023, 476, 279, 628, 9990, 692, 13775, 676, 595, 1263, 720, 4804, 692, 258, 3848, 476, 273, 910, 5623, 910, 20113, 281, 476, 2412, 692, 2971, 8382, 692, 259, 325, 3287, 6661, 343, 317, 277, 259, 543, 1269, 320, 284, 273, 6911, 2971, 4518, 5153, 676, 5153, 692, 6097, 547, 4214, 267, 3230, 325, 21948, 343, 21174, 3916, 315, 3916, 1080, 3709, 327, 29540, 271, 4153, 2765, 346, 325, 3287, 266, 327, 9984, 325, 3287, 20972, 327, 6525, 4475, 267, 693, 513, 1297, 513, 267, 519, 12045, 1131, 581, 3230, 325, 21948, 320, 21174, 3916, 315, 3916, 1080, 3709, 327, 29540, 271, 4153, 2765, 346, 325, 5416, 266, 327, 9984, 325, 5416, 20972, 327, 6525, 3767, 649, 1413, 693, 519, 2016, 4542, 281, 3230, 325, 21948, 320, 21174, 3916, 315, 3916, 1080, 3709, 327, 29540, 271, 4153, 2765, 18950, 273, 266, 327, 8203, 277, 268, 5038, 2410, 327, 6525, 3230, 325, 21948, 320, 21174, 3916, 315, 3916, 1080, 3709, 327, 29540, 271, 4153, 2765, 18950, 273, 266, 327, 8203, 277, 268, 273, 317, 277, 2410, 327, 6525, 3371, 267, 689, 519, 4214, 267, 649, 666, 17429, 576, 602, 1269, 320, 284, 273, 10608, 2334, 1797, 1269, 325, 5416, 6661, 273, 317, 277, 10608, 4475, 267, 1269, 325, 3287, 6661, 343, 317, 277, 6911, 5475, 596, 3409, 606, 2626, 596, 3580, 723, 476, 2190, 3108, 547, 6494, 538, 513, 8908, 269, 1323, 9375, 786, 2689, 519, 19169, 543, 2901, 15476, 707, 19169, 610, 1683, 1109, 12890, 3724, 269, 0, 258, 5565, 18062, 616, 16207, 269, 3503, 7957, 24461, 27159, 585, 519, 1739, 2680, 10422, 281, 5681, 540, 519, 2338, 593, 1079, 18062, 568, 16883, 676, 476, 274, 610, 476, 275, 269, 910, 9119, 692, 11764, 692, 10521, 18062, 616, 16207, 269, 3503, 7957, 24461, 27159, 585, 519, 1739, 2680, 563, 303, 281, 5681, 540, 519, 2338, 593, 1079, 18062, 568, 16883, 676, 476, 274, 610, 476, 275, 780, 2971, 8827, 692, 2691, 1079, 18062, 616, 16207, 267, 782, 2009, 4093, 616, 454, 306, 815, 2715, 263, 272, 267, 476, 272, 1070, 630, 272, 267, 476, 273, 1070, 630, 272, 267, 476, 274, 1070, 630, 272, 267, 476, 275, 1070, 630, 272, 267, 476, 276, 1070, 630, 272, 267, 476, 277, 1070, 630, 273, 267, 476, 272, 1070, 630, 273, 267, 476, 273, 1070, 630, 273, 267, 476, 274, 1070, 630, 273, 267, 476, 275, 1070, 630, 273, 267, 476, 276, 1070, 630, 273, 267, 476, 277, 1070, 630, 274, 267, 476, 272, 1070, 630, 274, 267, 476, 273, 1070, 630, 274, 267, 476, 274, 1070, 630, 274, 267, 476, 275, 1070, 630, 274, 267, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3310, 540, 3627, 15570, 7219, 781, 2093, 269, 2991, 713, 646, 6170, 930, 942, 538, 808, 6511, 4974, 4436, 2528, 269, 634, 1267, 540, 713, 4429, 2080, 5678, 6575, 8239, 1893, 23519, 3446, 476, 1321, 3610, 23064, 7160, 7824, 3095, 3371, 1849, 29141, 1927, 2417, 6306, 519, 1198, 540, 2029, 543, 519, 4950, 593, 15970, 960, 543, 3347, 7824, 3095, 634, 538, 531, 5662, 606, 4319, 737, 15442, 534 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2546, 912, 24281, 2221, 779, 3728, 19550, 1158, 267, 4160, 814, 1831, 513, 11342, 3390, 267, 7133, 1004, 540, 782, 6502, 543, 10080, 269, 2755, 2564, 7459, 666, 581, 2629, 585, 4049, 2665, 267, 1082, 2043, 609, 7646, 547, 9793, 4160, 1522, 4324, 689, 3695, 2067, 2409, 547, 4383, 741, 2589, 269, 1306, 513, 31218, 10890, 3249, 454, 2005, 568, 3078, 547, 1589, 540, 28889, 9934, 707, 2777, 267, 855, 621, 1419, 2501, 609, 2883, 2591, 269, 3509, 1004, 1265, 621, 1898, 547, 6529, 547, 513, 6578, 1247, 7393, 741, 2713, 2230, 269, 1677, 948, 596, 3251, 593, 6578, 543, 1118, 519, 1034, 540, 707, 5092, 267, 2015, 31218, 12709, 1299, 12567, 454, 29222, 1968, 5389, 616, 7184, 12082, 538, 2686, 2853, 543, 4978, 267, 543, 4516, 568, 513, 2197, 602, 5088, 806, 4763, 269, 1306, 513, 18371, 4182, 267, 4516, 14747, 513, 3638, 13795, 540, 24133, 9821, 543, 12738, 602, 2992, 519, 1585, 6803, 267, 3909, 267, 543, 2686, 10080, 540, 922, 1004, 269, 769, 31218, 9199, 767, 454, 1103, 2221, 779, 3728, 19550, 1158, 267, 4160, 814, 1831, 513, 11342, 3390, 267, 7133, 1004, 540, 782, 6502, 543, 4282, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2171, 3058, 543, 24135, 12960, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 27207, 585, 5753, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 7170, 281, 1215, 547, 29799, 513, 12456, 3042, 4934, 2280, 547, 17547, 15379, 2274, 752, 720, 692, 3721, 476, 272, 281, 20283, 2659, 13088, 543, 8881, 16811, 454, 6524, 4358, 1022, 5122, 960, 267, 2327, 602, 596, 723, 10356, 782, 2556, 2645, 543, 3106, 3937, 269, 901, 2882, 1384, 265, 21115, 23424, 31034, 630, 18485, 6366, 3650, 543, 29928, 994, 265, 6348, 9762, 716, 6453, 512, 6856, 454, 265, 18514, 4174, 3899, 454, 265, 10261, 548, 5991, 846, 726, 4536, 454, 265, 7780, 1006, 17180, 454, 265, 1715, 17752, 454, 265, 13363, 633, 2363, 1168, 792, 543, 17309, 454, 265, 18065, 30517, 1265, 518, 630, 28436, 2020, 32552, 568, 2629, 950, 2324, 609, 5201, 282, 2141, 5595, 27902, 602, 1379, 814, 1044, 5828, 1055, 693, 519, 5547, 30517, 1354, 23312, 269, 1403, 2009, 267, 6003, 519, 5547, 30517, 6467, 865, 1866, 616, 3222, 602, 621, 781, 1055, 1282, 707, 1788, 780, 3721, 476, 273, 281, 12414, 5510, 5295, 693, 519, 18065, 6601, 6033, 454, 8794, 513, 5547, 30517, 1265, 518, 610, 676, 10992, 519, 10297, 2282, 519, 5547, 30517, 8470, 267, 12398, 519, 3617, 6467, 9013, 519, 16609, 17752, 269, 4469, 760, 519, 6467, 547, 5508, 293, 269, 1677, 6166, 602, 972, 568, 1100, 3476, 1379, 2469, 998, 519, 5547, 267, 1449, 519, 17752, 1210, 513, 1875, 9762, 716, 6453, 512, 6856, 269, 25291, 835, 16785, 547, 519, 17684, 8066, 519, 3382, 6676, 543, 5905, 1776, 16785, 547, 519, 2666, 18921, 269, 589, 2542, 6920, 602, 1379, 568, 1869, 1459, 1107, 973, 515, 1188, 519, 5547, 30517, 543, 10956, 4152, 2394, 972, 781, 1100, 811, 1379, 9571, 780, 3721, 476, 274, 281, 17179, 15147, 17934, 543, 10753, 4923, 4934, 2280, 454, 4415, 519, 1379, 9108, 16981, 267, 4894, 519, 1079, 25336, 17516, 519, 3382, 6676, 547, 519, 3774, 1210, 513, 17684, 323, 18182, 269, 5590, 11735, 519, 3382, 6676, 269, 8921, 267, 3138, 4923, 519, 25336, 8220, 519, 8697, 17752, 547, 519, 5122, 4216, 609, 513, 17684, 323, 18182, 269, 28392, 7485, 519, 17752, 2476, 689, 519, 3774, 1510, 31028, 532, 519, 12904, 7923, 547, 621, 2943, 780, 3721, 476, 275, 281, 4530, 16530, 22627, 454, 2750, 8533, 519, 6534, 5911, 4296, 269, 10576, 799, 1305, 12851, 547, 519, 3905, 630, 17141, 3109, 1070, 9243, 630, 19009, 1070, 543, 2666, 630, 321, 732, 7601, 610, 3039, 1040, 2422, 707, 1875, 9762, 716, 6453, 512, 6856, 547, 2638, 585, 15895, 1699, 1063, 519, 3905, 5911, 543, 2901, 519, 9243, 610, 2666, 12904, 269, 1403, 972, 781, 1869, 5201, 13576, 267, 2132, 547, 5153, 476, 273, 543, 13182, 602, 596, 4312, 7157, 9505, 1055, 519, 1318, 5547, 30517, 780, 3721, 476, 276, 281, 2598, 6618, 6196, 4934, 2280, 454, 11514, 6618, 519, 2025, 17752, 676, 5667, 920, 9405, 610, 2150, 342, 12371, 519, 12363, 25336, 8066, 519, 12904, 269, 2142, 2386, 547, 4063, 1141, 1142, 2681, 4422, 267, 2523, 585, 3818, 2914, 790, 11387, 269, 1411, 1522, 1616, 547, 1491, 513, 4605, 585, 4704, 2663, 269, 4495, 1033, 3737, 267, 16784, 519, 12904, 883, 519, 5122, 4216, 855, 4734, 2614, 1793, 871, 585, 2653, 1569, 780, 3721, 476, 277, 281, 16259, 1715, 4934, 2280, 454, 4462, 17569, 720, 519, 1007, 17752, 543, 4983, 922, 23525, 269, 4107, 2413, 3457, 4183, 2427, 2173, 870, 539, 17684, 804, 10102, 2966, 585, 2656, 10380, 269, 1717, 267, 4587, 3631, 949, 2154, 4174, 6137, 13471, 1055, 519, 7475, 540, 519, 12904, 1101, 269, 853, 8692, 5111, 476, 382, 378, 10759, 540, 13471, 1210, 513, 5911, 4174, 3899, 1907, 780, 3721, 476, 278, 281, 4045, 16140, 18514, 454, 16920, 778, 519, 11953, 7601, 610, 3039, 2666, 5911, 547, 519, 3039, 2666, 17684, 4092, 593, 519, 1007, 17752, 269, 3828, 626, 519, 4174, 5529, 1439, 1472, 519, 17684, 29628, 267, 1287, 9395, 523, 519, 17684, 18172, 269, 5269, 2386, 519, 4276, 568, 6109, 543, 4465, 1405, 17277, 1055, 780, 3721, 476, 279, 281, 5900, 778, 12182, 543, 3026, 23018, 654, 2231, 454, 21010, 519, 6967, 3905, 543, 9243, 12904, 547, 741, 7222, 23525, 593, 519, 1007, 17752, 269, 15380, 267, 21567, 23469, 25336, 5815, 3905, 4296, 6466, 8988, 3283, 20301, 9243, 4296, 269, 2368, 18960, 19093, 786, 849, 1331, 7903, 2987, 28339, 3079, 540, 17684, 23525, 269, 11408, 5077, 10672, 5528, 950, 9001, 7903, 2987, 28339, 780, 3721, 476, 280, 281, 24344, 1715, 4934, 2280, 454, 20228, 728, 519, 1007, 17752, 1394, 883, 519, 5122, 4216, 267, 4180, 9039, 540, 519, 4448, 12904, 616, 8930, 3481, 269, 16258, 523, 519, 3926, 17401, 609, 519, 20387, 25336, 269, 17677, 27902, 602, 782, 4296, 616, 5150, 543, 5265, 3728, 2989, 780, 3721, 476, 1015, 281, 12305, 15147, 17934, 454, 7661, 267, 5372, 519, 3382, 6676, 676, 26936, 922, 27061, 609, 519, 17684, 9475, 593, 519, 17752, 269, 23453, 519, 25336, 543, 1688, 2389, 697, 523, 873, 269, 3680, 16765, 697, 2287, 267, 607, 713, 949, 11523, 519, 3382, 6676, 780, 3721, 476, 1556, 281, 10163, 648, 5295, 454, 31282, 519, 5547, 30517, 1394, 10396, 269, 4762, 3305, 1697, 10342, 676, 726, 19982, 538, 513, 17689, 610, 27115, 543, 2357, 4328, 602, 621, 1568, 607, 4397, 269, 1403, 3388, 3252, 7157, 267, 7249, 17894, 910, 596, 4312, 6707, 8719, 513, 25768, 17752, 543, 11074, 5122, 24694, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 707, 1753, 568, 4743, 899, 513, 29855, 6928, 267, 4250, 711, 256, 1284, 4076, 3893, 519, 1272, 2692, 1846, 596, 991, 609, 938, 476, 2641, 1655, 6578, 7888, 1753, 7816, 3435, 563, 9617, 899, 513, 23071, 10188, 30217, 748, 7297, 267, 596, 666, 27464, 707, 1753, 1394, 547, 3106, 609, 891, 4052, 543, 2143, 4388, 563, 5804, 21338, 13451, 344, 31316, 1115, 547, 1273, 4221, 909, 29618, 6405, 267, 649, 4076, 3893, 596, 4988, 563, 7476, 707, 2645, 543, 1205, 4712, 547, 11177, 707, 1753, 547, 922, 5449, 18710, 267, 782, 1247, 9494, 930, 2182, 268, 792, 2740, 6666, 563, 293, 30480, 2274, 21294, 674, 14072, 1115, 454, 6701, 596, 13110, 540, 7231, 609, 13451, 344, 31316, 1115, 538, 707, 1753, 286, 5213, 1406, 5855, 267, 596, 2461, 711, 4805, 269, 3509, 21427, 3068, 519, 17140, 540, 3586, 5671, 6137, 543, 24906, 1216, 269, 1809, 1354, 596, 1289, 513, 726, 3784, 543, 6108, 513, 19539, 267, 1946, 711, 2119, 930, 18789, 31316, 564, 18203, 888, 307, 709, 7632, 327, 17415, 13451, 344, 31316, 1115, 666, 581, 513, 2241, 543, 1942, 15807, 4368, 952, 596, 917, 1018, 547, 1413, 585, 269, 2290, 540, 519, 1034, 1455, 31316, 564, 2042, 568, 513, 12816, 13050, 744, 268, 2590, 610, 729, 615, 269, 1452, 1507, 12285, 3334, 666, 14016, 622, 936, 942, 267, 4929, 20984, 563, 2414, 4368, 713, 267, 2490, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 16978, 3740, 24410, 7632, 327, 17415, 257, 607, 851, 540, 834, 9816, 27516, 1299, 670, 26041, 1315, 20904, 1299, 29766, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 769, 513, 14297, 2749, 1153, 267, 15516, 269, 9652, 781, 8772, 17263, 1362, 729, 4904, 609, 1648, 543, 669, 2660, 607, 17288, 19317, 11235, 1053, 5423, 585, 1776, 1554, 540, 1565, 269, 7324, 891, 6505, 1762, 8186, 941, 1079, 2516, 945, 3226, 10150, 4101, 1142, 824, 281, 519, 21989, 262, 11020, 12741, 11833, 543, 519, 27258, 262, 2637, 3780, 8293, 611, 269, 5637, 15731, 3576, 11348, 538, 6061, 13410, 267, 678, 26680, 267, 543, 2979, 2042, 609, 3432, 543, 6111, 780, 16039, 269, 9652, 4956, 621, 1131, 581, 606, 5140, 4316, 585, 2319, 2679, 952, 789, 1223, 12840, 593, 513, 1788, 1927, 269, 2701, 4843, 873, 609, 513, 4161, 281, 834, 1692, 666, 596, 1655, 8415, 707, 5916, 15421, 547, 948, 938, 2146, 8119, 2991, 1454, 4901, 267, 789, 8359, 547, 10891, 513, 17493, 1187, 2196, 547, 6318, 7482, 585, 513, 2199, 6288, 22058, 566, 269, 3962, 8630, 4759, 1131, 3565, 741, 1983, 282, 519, 21989, 262, 11020, 12741, 11833, 5059, 593, 4058, 543, 12180, 1247, 519, 27258, 262, 2637, 3780, 8293, 611, 8214, 1194, 13319, 543, 13384, 11208, 780, 7628, 741, 23730, 7886, 267, 14667, 689, 519, 21989, 262, 11020, 12741, 11833, 6659, 513, 6161, 267, 834, 30108, 267, 875, 786, 649, 917, 952, 649, 723, 3160, 7589, 1063, 8695, 543, 6690, 1282, 519, 2680, 8119, 15516, 269, 9652, 15527, 267, 834, 15124, 2243, 256, 2913, 781, 1265, 856, 875, 1082, 1053, 649, 723, 538, 938, 1362, 1101, 1701, 2701, 5206, 1412, 3393, 262, 593, 519, 4604, 543, 4280, 267, 834, 4692, 4896, 2995, 803, 1018, 835, 21017, 540, 713, 1297, 568, 12482, 288, 5618, 16563, 8593, 936, 519, 4055, 2394, 7338, 689, 519, 27258, 262, 2637, 3780, 8293, 611, 18390, 12943, 267, 834, 6546, 781, 2653, 256, 898, 781, 19939, 30882, 257, 28557, 2437, 26916, 15516, 269, 9652, 269, 834, 3086, 267, 1577, 781, 4137, 856, 875, 1082, 6690, 543, 8695, 972, 616, 1759, 593, 602, 1344, 3010, 10387, 1176, 3533, 7229, 267, 834, 2252, 972, 616, 476, 1428, 6690, 267, 1287, 18946, 602, 689, 519, 2698, 1297, 540, 3214, 3947, 721, 13977, 8695, 10590, 1352, 608, 13094, 25747, 269, 634, 1964, 540, 519, 1362, 21330, 538, 6876, 267, 1620, 519, 2956, 540, 6616, 741, 2338, 585, 1697, 3919, 780, 2026, 519, 2462, 1554, 14059, 267, 1312, 15731, 5249, 24091, 547, 2327, 1967, 269, 769, 10903, 725, 4682, 856, 547, 3237, 543, 12543, 267, 29295, 906, 941, 6896, 267, 13538, 9896, 909, 585, 1585, 4247, 267, 543, 23598, 24224, 519, 6288, 269, 2201, 519, 6640, 540, 519, 2680, 267, 519, 3141, 695, 821, 29116, 267, 9621, 3501, 4365, 2175, 585, 4881, 543, 6972 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 781, 30023, 269, 8625, 267, 789, 7152, 602, 8508, 4264, 2853, 711, 1152, 2640, 2043, 855, 2486, 607, 513, 2898, 269, 3414, 5698, 267, 1620, 267, 543, 8994, 2463, 267, 789, 4951, 602, 2591, 899, 1216, 20317, 1223, 581, 8214, 1194, 15217, 5807, 9322, 543, 9316, 1369, 519, 2146, 780, 1607, 1650, 14550, 1896, 1271, 2418, 971, 607, 6568, 267, 5683, 2623, 267, 543, 1966, 9010, 1983, 269, 1635, 2324, 1927, 267, 10548, 534, 543, 681, 1389, 327, 1336, 513, 3070, 547, 513, 10296, 3390, 7133, 741, 2146, 269, 769, 3257, 865, 267, 789, 12006, 519, 1379, 540, 7104, 2962, 267, 11744, 875, 1367, 3646, 666, 1291, 547, 1713, 6848, 5222, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 666, 519, 1292, 2707, 540, 4764, 581, 10244, 539, 585, 4264, 6694, 2853, 888, 763, 1292, 2707, 540, 4764, 666, 581, 10244, 539, 585, 4264, 6694, 2853, 538, 519, 1739, 2081, 1384, 272, 269, 14175, 4248, 16276, 281, 14716, 540, 3889, 899, 22253, 267, 2638, 21394, 267, 26048, 1207, 2738, 267, 543, 31241, 641, 24467, 16276, 1949, 666, 948, 547, 4558, 543, 18359, 24467, 585, 6694, 946, 780, 273, 269, 14606, 543, 1216, 5726, 281, 20074, 3800, 899, 31619, 1424, 267, 26048, 8105, 267, 543, 5726, 11489, 720, 666, 948, 547, 2569, 3037, 11761, 543, 2333, 1216, 12802, 538, 519, 3037, 780, 274, 269, 667, 8692, 12555, 281, 667, 8692, 12555, 1949, 666, 948, 547, 18359, 1216, 676, 12419, 1507, 5666, 540, 1216, 2047, 547, 519, 5072, 540, 2371, 267, 4227, 729, 5653, 543, 2810, 519, 4398, 540, 1216, 946, 780, 275, 269, 30495, 5542, 281, 19805, 7031, 602, 616, 10980, 2389, 26985, 543, 5078, 585, 519, 2199, 2916, 666, 948, 547, 2569, 1216, 4170, 543, 2087, 7693, 11729, 780, 276, 269, 3397, 549, 1150, 2722, 281, 31896, 4054, 543, 19211, 538, 543, 1472, 4237, 340, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 7170, 281, 1215, 547, 12706, 12333, 17716, 693, 4139, 4762, 3720, 607, 513, 9906, 692, 272, 269, 3194, 519, 10554, 543, 922, 28752, 25656, 281, 6969, 11504, 519, 10554, 267, 798, 930, 1382, 593, 519, 2680, 3294, 267, 971, 607, 922, 6249, 267, 8430, 267, 543, 1883, 16694, 10529, 269, 6733, 883, 519, 10080, 540, 891, 10529, 543, 824, 4397, 28752, 547, 2697, 1761, 3838, 4690, 610, 3853, 269, 901, 7041, 786, 948, 596, 1118, 811, 5483, 3664, 950, 13033, 1282, 519, 10554, 563, 273, 269, 16259, 707, 30981, 12334, 281, 1323, 2500, 30981, 12334, 568, 2629, 585, 10962, 3054, 3533, 543, 1818, 513, 9434, 12705, 269, 14958, 513, 13801, 2943, 2502, 5758, 540, 707, 4081, 18697, 267, 4876, 17050, 267, 543, 2189, 20340, 269, 6657, 12419, 707, 12334, 12347, 865, 602, 596, 666, 18390, 2671, 621, 609, 1866, 693, 519, 10554, 563, 274, 269, 18918, 538, 7391, 30082, 281, 5213, 1405, 7227, 585, 1004, 547, 1935, 596, 282, 1491, 519, 11036, 676, 16042, 873, 3079, 269, 3399, 7391, 676, 6998, 1930, 25804, 2055, 1644, 547, 741, 960, 610, 6791, 267, 11589, 9758, 7279, 543, 15131, 269, 2142, 2386, 547, 6432, 8362, 543, 4431, 24617, 547, 1018, 789, 2161, 563, 275, 269, 16510, 3346, 1344, 281, 4495, 596, 4312, 3964, 29037, 609, 2576, 267, 2307, 952, 789, 1131, 899, 547, 3251, 538, 5905, 1310, 519, 10554, 269, 20644, 707, 1870, 3556, 610, 7662, 741, 338, 267, 1287, 6494, 513, 5618, 1246, 5346, 4757, 4166, 26063, 547, 556, 30185, 707, 6643, 543, 4396, 1518, 519, 4276, 563, 276, 269, 29934, 1514, 2621, 543, 6980, 281, 6875, 5413, 540, 3255, 3544, 6101, 7886, 547, 544, 17532, 609, 824, 5171, 269, 4317, 19771, 1683, 1447, 11295, 5054, 1141, 6209, 3347, 666, 1106, 936, 3838, 2833, 543, 5717, 269, 5269, 606, 4674, 547, 1694, 1985, 547, 1114, 2043, 1282, 6980, 543, 4497, 873, 538, 6643, 563, 277, 269, 10558, 707, 2093, 3927, 281, 1403, 9306, 513, 1957, 610, 16968, 8400, 267, 5838, 707, 1570, 5693, 267, 18390, 267, 543, 6612, 2299, 269, 11559, 5304, 7589, 998, 1627, 26031, 12415, 543, 2226, 3750, 3346, 2429, 519, 6881, 269, 30850, 267, 16436, 5955, 543, 4901, 267, 799, 949, 1291, 547, 3407, 4030, 610, 2417, 5698, 563, 278, 269, 8058, 13826, 707, 1702, 543, 11235, 1145, 547, 1451, 281, 23227, 622, 707, 1620, 540, 707, 2361, 1247, 849, 1373, 1930, 547, 1565, 689, 1866, 269, 9105, 16367, 2055, 1282, 8470, 5717, 610, 11925, 267, 543, 3565, 25006, 547, 1895, 7391, 269, 2659, 18515, 547, 1312, 4001, 543, 1451, 786, 4734, 513, 2318, 12705, 593, 1346, 1472, 596, 563, 279, 269, 22676, 720, 2228, 5867, 585, 4797, 6278, 281, 4045, 609, 10554, 28752, 3842, 3318, 5121, 971, 607, 21912, 1103, 610, 3194, 294, 622, 269, 9523, 4143, 4930, 267, 3377, 267, 610, 10311, 593, 707, 1378, 960, 547, 1832, 519, 2078, 3742, 3564, 519, 32604, 540, 519, 10554, 563, 280, 269, 7427, 909, 593, 19647, 1500, 1282, 519, 10554, 281, 1403, 596, 16219, 547, 6494, 3606, 2200, 267, 6338, 9164, 267, 610, 2263, 11450, 7399, 267, 2327, 602, 596, 11886, 891, 13800, 16425, 269, 8490, 3972, 543, 17258, 616, 1898, 3334, 540, 5807, 1279, 3856, 3318, 3347, 563, 1015, 269, 14484, 593, 707, 1995, 543, 1305, 3853, 585, 6454, 281, 2991, 519, 10554, 267, 6218, 707, 18454, 543, 2127, 17596, 2208, 269, 10576, 1808, 2994, 585, 7393, 707, 2792, 1983, 267, 2679, 6015, 267, 610, 9750, 707, 3060, 269, 25956, 891, 9283, 538, 7766, 19014, 543, 4585, 707, 3318, 3347, 21707, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 938, 4966, 454, 268, 9906, 1975, 1877, 454, 268, 23392, 1299, 13488, 454, 27650, 3804, 540, 11504, 606, 3486, 10554, 568, 547, 1459, 513, 1957, 547, 519, 4966, 543, 4623, 6203, 269, 898, 3947, 596, 513, 3760, 547, 5385, 707, 1719, 5829, 4555, 267, 22338, 519, 1259, 585, 2009, 2104, 21769, 563, 8196, 713, 3760, 547, 1628, 4296, 609, 606, 16918, 1895, 540, 8797, 2367, 543, 2021, 547, 3986, 707, 6457, 269, 8479, 11639, 267, 713, 568, 513, 1390, 3760, 547, 1921, 609, 707, 9905, 563, 15447, 1578, 568, 5295, 269, 11310, 11414, 1983, 269, 10341, 5581, 17284, 269, 2422, 713, 3760, 547, 1831, 26256, 714, 656, 540, 707, 1719, 1858, 547, 3035, 17284, 538, 707, 6389, 563, 16920, 2056, 513, 10554, 2285, 596, 4316, 547, 1205, 707, 7493, 610, 1957, 3370, 538, 10554, 18659, 454, 25603, 543, 26250, 513, 16221, 540, 2872, 4648, 543, 24243, 4966, 609, 1455, 1719, 269, 5272, 7594, 786, 581, 606, 4316, 547, 2743, 543, 2170, 609, 8284, 3173, 267, 28752, 543, 4966, 563, 22091, 663, 707, 3318, 28671, 543, 1451, 3730, 4388, 543, 8945, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 8248, 518, 17716, 257, 607, 851, 540, 834, 25787, 1315, 25833, 1315, 32183, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 6092, 5149, 281, 28527, 4934, 12267, 910, 634, 5295, 540, 19457, 9608, 15881, 2510, 538, 8479, 16989, 27140, 11806, 266, 9085, 692, 29020, 281, 769, 713, 1770, 267, 1053, 786, 2263, 4947, 856, 2984, 1369, 1762, 2937, 15923, 3332, 5059, 593, 11806, 266, 2833, 269, 3414, 2542, 1585, 6386, 267, 2502, 5717, 267, 14436, 1603, 12987, 267, 543, 19180, 2200, 267, 1053, 786, 5659, 519, 4644, 540, 4687, 2123, 6386, 1247, 3384, 2565, 3206, 1983, 1472, 28622, 267, 3961, 1646, 267, 24343, 338, 1222, 267, 6043, 267, 14223, 267, 543, 6041, 269, 901, 1770, 6663, 547, 6536, 6568, 267, 13784, 267, 543, 1514, 5539, 1851, 1053, 1247, 7393, 741, 7071, 585, 3309, 9739, 543, 5380, 538, 3332, 780, 296, 269, 4985, 454, 288, 269, 11137, 540, 8479, 16989, 27140, 11806, 266, 9085, 454, 289, 269, 11957, 540, 28527, 4934, 12267, 454, 290, 269, 4804, 20505, 454, 291, 269, 17583, 547, 7351, 12367, 1299, 7464, 21509, 6201, 692, 2862, 269, 10289, 28249, 1275, 998, 28527, 4934, 12267, 630, 21196, 476, 272, 994, 288, 269, 20223, 28249, 1275, 454, 289, 269, 7335, 12143, 281, 6723, 267, 5981, 717, 3626, 282, 594, 2549, 808, 267, 17786, 2142, 600, 282, 543, 15332, 7395, 31980, 281, 3690, 14054, 1855, 839, 28423, 4934, 267, 19626, 918, 4157, 4802, 454, 290, 269, 17564, 5999, 281, 1215, 798, 891, 6386, 9414, 519, 10848, 540, 12969, 532, 9163, 286, 1548, 2189, 2591, 8451, 950, 2043, 3180, 2789, 12790, 9163, 286, 1215, 666, 1620, 28622, 7794, 24343, 338, 1222, 3646, 888, 291, 269, 14484, 633, 5675, 32653, 281, 6333, 875, 707, 1378, 3961, 5222, 707, 23381, 269, 1215, 1522, 3695, 28622, 3986, 707, 2702, 547, 1174, 543, 1489, 1866, 262, 5030, 2833, 888, 292, 269, 5564, 12855, 12754, 281, 13772, 519, 3381, 3126, 834, 20075, 518, 17718, 853, 4428, 2437, 799, 7710, 4008, 267, 14920, 267, 543, 1920, 4763, 538, 2085, 29003, 2081, 269, 1215, 1281, 713, 4199, 2232, 28622, 538, 922, 1650, 6050, 888, 293, 269, 14581, 281, 4855, 543, 2671, 606, 1383, 540, 513, 4947, 856, 1650, 10023, 10167, 531, 3197, 610, 4798, 269, 16259, 513, 5618, 6881, 547, 1865, 707, 4681, 780, 7656, 269, 19484, 14740, 4886, 998, 28527, 4934, 12267, 630, 21196, 476, 274, 994, 288, 269, 4197, 14740, 19725, 17738, 454, 289, 269, 7335, 12143, 281, 8342, 5851, 281, 589, 7731, 3004, 11551, 5669, 267, 1325, 2581, 2142, 577, 23437, 282, 30765, 267, 14175, 320, 20052, 613, 1889, 1512, 282, 543, 17127, 543, 667, 14397, 13028, 519, 31981, 540, 519, 17807, 267, 18148, 1325, 790, 590, 5451, 20044, 454, 290, 269, 17564, 5999, 281, 1215, 798, 891, 5931, 6813, 519, 1184, 540, 1582, 22523, 543, 3961, 5250, 286, 1215, 798, 789, 4161, 2757, 2093, 827, 4008, 5107, 543, 6788, 888, 291, 269, 14484, 633, 5675, 32653, 281, 14674, 707, 3460, 2509, 12423, 707, 8076, 1582, 269, 1215, 814, 713, 1995, 8032, 707, 5133, 593, 3961, 1646, 888, 292, 269, 5564, 12855, 12754, 281, 19415, 547, 519, 15264, 834, 301, 3599, 257, 3812, 676, 654, 29369, 290, 2289, 3930, 269, 10312, 593, 14501, 5466, 3584, 971, 607, 10297, 267, 6580, 267, 543, 11505, 269, 1215, 798, 891, 7391, 9305, 547, 519, 1523, 540, 3961, 1646, 5941, 538, 1362, 888, 293, 269, 14581, 281, 8073, 513, 3308, 6041, 540, 707, 3961, 1646, 3460, 1210, 6698, 267, 4778, 267, 543, 11052, 269, 9523, 707, 5137, 609, 513, 7649, 543, 1865, 10486, 543, 3604, 1063, 707, 15322, 780, 4353, 269, 8490, 1325, 569, 338, 1222, 998, 28527, 4934, 12267, 630, 21196, 476, 276, 994, 288, 269, 19247, 540, 1325, 569, 338, 1222, 454, 289, 269, 7335, 12143, 281, 17363, 5288, 269, 519, 30941, 590, 777, 16772, 3397, 12629, 267, 23894, 344, 15751, 718, 328, 282, 15196, 2725, 1115, 15196, 267, 6424, 23821, 603, 534, 282, 543, 5565, 27258, 918, 1170, 532, 267, 6424, 23821, 603, 534, 454, 290, 269, 17564, 5999, 281, 1215, 798, 891, 6386, 6542, 519, 2956, 540, 3742, 24343, 338, 1222, 538, 5885, 11806, 266, 6107, 286, 1215, 666, 16167, 3565, 547, 2870, 2922, 5624, 543, 5807, 10343, 888, 291, 269, 14484, 633, 5675, 32653, 281, 10576, 1808, 3527, 596, 666, 1491, 547, 1831, 513, 1732, 24343, 547, 11806, 266, 2043, 269, 4208, 568, 5571, 2069, 1898, 547, 4509, 2178, 24343, 3347, 888, 292, 269, 5564, 12855, 12754, 281, 29934, 513, 5691, 2680, 18799, 676, 21668, 6369, 294, 2817, 610, 1776, 2199, 3919, 6131 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2866, 1644, 547, 23596, 906, 269, 4340, 547, 24261, 8124, 1299, 11910, 698, 7315, 630, 1001, 272, 1070, 606, 5662, 540, 6024, 1565, 568, 3160, 547, 593, 8713, 291, 5662, 269, 898, 568, 519, 1909, 540, 513, 12016, 610, 4571, 342, 1057, 547, 5173, 519, 1297, 540, 3742, 1565, 3108, 540, 7589, 269, 2755, 8713, 291, 2238, 723, 10083, 547, 4571, 342, 604, 2044, 543, 8808, 22825, 267, 519, 2238, 786, 581, 18886, 689, 1142, 3318, 1646, 14769, 269, 4340, 547, 1261, 1446, 344, 543, 1975, 27247, 630, 1220, 279, 1070, 7606, 593, 4571, 342, 1161, 262, 11578, 723, 547, 7119, 538, 513, 5934, 540, 476, 736, 3108, 829, 1032, 585, 4571, 342, 604, 2044, 3318, 1646, 269, 634, 8713, 17762, 723, 547, 1459, 10083, 547, 519, 2796, 540, 2259, 585, 519, 12016, 610, 4571, 342, 1057, 563, 274, 269, 1772, 3318, 967, 655, 333, 640, 6142, 16601, 585, 782, 11923, 543, 1018, 1281, 621, 3382, 888, 15152, 3296, 476, 15782, 540, 519, 2817, 4521, 267, 12016, 9439, 543, 10805, 11923, 1590, 2259, 2394, 789, 723, 513, 3382, 689, 519, 3617, 3318, 967, 655, 333, 640, 6142, 10909, 269, 21362, 1229, 1072, 9439, 1058, 711, 4497, 538, 1072, 3924, 2259, 1141, 519, 19995, 814, 1044, 10805, 8259, 972, 616, 3617, 12417, 585, 3318, 967, 655, 333, 640, 6142, 538, 3196, 269, 898, 568, 1419, 1644, 547, 519, 19995, 781, 3318, 2259, 269, 27814, 267, 519, 2409, 5150, 3318, 2259, 6142, 585, 519, 19995, 1996, 3540, 20824, 30309, 676, 6811, 602, 2097, 689, 18621, 550, 6411, 267, 9631, 3827, 267, 610, 6959, 538, 519, 19995, 781, 2932, 269, 634, 9165, 540, 6142, 568, 1992, 539, 547, 3906, 543, 9439, 540, 1585, 6080, 1247, 8720, 519, 9276, 543, 1942, 540, 21108, 3656, 6811, 543, 1022, 2628, 762, 14796, 269, 2368, 2229, 8041, 957, 896, 519, 4507, 540, 26539, 2229, 2533, 998, 1582, 15564, 4269, 1759, 593, 2147, 4128, 543, 6927, 563, 275, 269, 16684, 569, 4766, 519, 2640, 540, 519, 2817, 17563, 585, 519, 4886, 540, 17423, 10435, 454, 6097, 547, 681, 748, 1088, 543, 4210, 753, 7921, 630, 1220, 280, 1070, 513, 3084, 3375, 6194, 5943, 568, 8537, 540, 1079, 3982, 2694, 269, 634, 1101, 6799, 5036, 540, 3741, 8108, 519, 5748, 585, 6268, 543, 1646, 540, 2645, 1031, 538, 3375, 6194, 269, 634, 824, 3568, 3375, 6194, 2645, 543, 17074, 269, 2290, 540, 873, 585, 8808, 630, 523, 9776, 543, 10805, 11923, 264, 543, 519, 824, 585, 4571, 342, 604, 2044, 543, 17767, 3604, 1063, 1142, 3924, 269, 634, 896, 20040, 2474, 723, 9450, 10096, 547, 2743, 519, 3375, 6194, 2645, 543, 3483, 269, 634, 3804, 540, 713, 5943, 2882, 5807, 11007, 593, 22875, 998, 8446, 540, 519, 8815, 3741, 543, 2645, 538, 3375, 1818, 269, 898, 849, 3096, 519, 3609, 547, 6542, 519, 31675, 540, 519, 2035, 543, 3741, 538, 519, 22825, 269, 4340, 547, 21582, 523, 267, 8575, 1512, 543, 12313, 630, 1220, 280, 1070, 7939, 540, 22825, 568, 2944, 538, 519, 1719, 540, 519, 1857, 269, 634, 7939, 5666, 547, 1857, 3106, 998, 4180, 602, 519, 2507, 314, 11666, 826, 2639, 257, 24478, 633, 16711, 15557, 1656, 5004, 257, 630, 1001, 275, 267, 5181, 476, 1789, 264, 8158, 5412, 476, 277, 267, 476, 1001, 277, 267, 689, 5291, 2517, 4178, 4877, 1653, 16746, 2593, 270, 22967, 11305, 805, 633, 5991, 2720, 532, 6122, 611, 11429, 7146, 31193, 268, 4572, 23211, 454, 257, 24478, 633, 16711, 15557, 1656, 5004, 257, 476, 1789, 5181, 476, 1001, 275, 269, 5680, 269, 277, 5412, 269, 476, 1001, 277, 269, 2999, 10674, 2517, 4178, 4877, 1653, 16746, 2593, 270, 22967, 11305, 805, 633, 5991, 2720, 532, 6122, 611, 11429, 7146, 31193, 268, 4572, 23211, 11417, 257, 24478, 633, 16711, 15557, 1656, 5004, 2580, 476, 1789, 5181, 476, 1001, 275, 267, 21700, 269, 277, 5412, 269, 476, 1001, 277, 267, 5291, 2517, 4178, 4877, 1653, 16746, 2593, 270, 22967, 11305, 805, 633, 5991, 2720, 532, 6122, 611, 11429, 7146, 31193, 268, 4572, 23211, 454, 763, 27877, 1909, 2882, 1346, 2238, 602, 4217, 519, 7817, 9308, 267, 15508, 267, 543, 14156, 267, 1247, 1869, 8497, 519, 7817, 781, 15683, 269, 769, 1931, 585, 835, 547, 581, 606, 2500, 27877, 267, 519, 3461, 1590, 581, 5701, 538, 513, 11455, 6073, 269, 7743, 2792, 543, 14223, 568, 1776, 1909, 602, 519, 2413, 27877, 17648, 950, 3246, 2298, 1416, 630, 10111, 2651, 1040, 898, 568, 538, 519, 1909, 540, 3461, 14223, 543, 1942, 24408, 1154, 602, 1034, 8808, 3401, 616, 454, 301, 2720, 532, 15557, 28636, 715, 7838, 306, 5058, 19845, 4696, 8991, 295, 7709, 281, 19766, 2752, 3041, 2177, 6730, 589, 2793, 14877, 306, 3041, 5508, 12164, 4753, 303, 4811, 1299, 5990, 3036, 22494, 634, 960, 540, 22216, 773, 543, 2983, 3691, 330, 5866, 630, 1220, 276, 264, 1867, 602, 972, 568, 1312, 6101, 543, 13016, 5718, 538, 602, 9946, 616, 18005, 834, 1372, 5586, 730, 6392, 267, 1519, 519, 1379, 547, 8007, 610, 19439, 269, 589, 9614, 568, 4397, 547, 1685, 3252, 971, 607, 4058, 267, 12180, 267, 28068, 630, 18490, 264, 543, 9013, 630, 24834, 15070, 1040, 257, 2201, 519, 824, 1688, 267, 13016, 3401, 616, 834, 2254, 2141, 9946, 7900, 1346, 3252, 2838, 454, 301, 2720, 532, 15557, 634, 4305, 602, 19179, 1080, 513, 9241, 21534, 12016, 1770, 9614, 538, 713, 1880, 1416, 9744, 568, 2469, 547, 581, 4101, 269, 2060, 11923, 5360, 8724, 856, 10978, 827, 10467, 267, 543, 609, 11923, 10912, 538, 7210, 267, 1373, 3735, 547, 960, 543, 711, 1373, 11327, 267, 519, 1007, 1770, 9614, 814, 1200, 3946, 2407, 269, 901, 1957, 3096, 14046, 3332, 547, 15974, 3268, 547, 581, 3144, 547, 1205, 519, 1416, 9744, 1394, 547, 5665, 519, 454, 301, 2720, 532, 15557, 281, 5565, 21537, 25125, 769, 922, 9998, 1651, 28271, 607, 513, 3924, 267, 11923, 941, 1419, 12497, 1242, 607, 7390, 1218, 543, 948, 619, 547, 13500, 543, 2550, 267, 711, 607, 3401, 269, 1717, 267, 11923, 936, 519, 1296, 723, 13986, 547, 552, 651, 856, 513, 2189, 12106, 585, 2933, 1369, 519, 3782, 3924, 538, 519, 6073, 538, 799, 789, 11753, 513, 3461, 781, 2168, 267, 1514, 267, 5626, 267, 543, 2825, 2115, 269, 4653, 11923, 616, 5051, 1572, 8521, 547, 1491, 593, 5718, 7158, 454, 2026, 7074, 1657, 267, 835, 540, 519, 1034, 7986, 5718, 6436, 602, 814, 1044, 4294, 547, 519, 8808, 3924, 568, 2981, 1049, 5718, 269, 7743, 569, 4294, 543, 7307, 267, 7004, 5718, 666, 849, 581, 1031, 547, 7520, 5876, 538, 519, 9036, 269, 1280, 3236, 267, 2687, 547, 966, 6856, 514, 523, 267, 1772, 7637, 543, 14529, 553, 10216, 4673, 630, 1220, 280, 267, 533, 269, 476, 27843, 1070, 2981, 1049, 5718, 666, 1711, 2242, 543, 267, 676, 4214, 267, 568, 5827, 540, 9927, 2043, 543, 519, 3919, 538, 799, 789, 960, 269, 1635, 3246, 454, 22117, 11429, 267, 2687, 547, 5487, 3933, 3821, 630, 4350, 279, 1070, 568, 950, 513, 1268, 814, 6392, 602, 568, 6444, 676, 1866, 267, 543, 519, 1268, 814, 13794, 4882, 889, 24002, 896, 873, 267, 945, 3494, 602, 519, 1268, 786, 4217, 873, 538, 1140, 8724, 1978, 3853, 630, 8364, 11538, 856, 1808, 6859, 585, 519, 13794, 1040, 5015, 267, 4896, 602, 568, 8348, 547, 4217, 543, 948, 1866, 1223, 581, 5219, 547, 607, 513, 6205, 630, 335, 269, 279, 264, 24285, 1294, 1018, 1866, 798, 711, 4107, 3401, 723, 454, 301, 2720, 532, 15557, 5800, 12859, 4065, 1656, 15232, 3733, 8808, 2069, 2882, 1140, 8724, 1250, 21133, 23422, 538, 16711, 630, 13263, 264, 693, 8419, 3557, 5441, 693, 12722, 6807, 543, 1250, 645, 659, 3559, 832, 540, 3163, 538, 16711, 630, 7034, 301, 264, 693, 519, 2160, 540, 3345, 8419, 269, 3733, 12333, 16711, 32018, 1331, 772, 293, 2657, 12722, 6807, 607, 513, 21362, 1229, 29237, 538, 23247, 13478, 29864, 28626, 5516, 267, 21362, 1229, 29237, 693, 15588, 338, 29407, 11233, 538, 519, 9315, 13519, 270, 1805, 6593, 5149, 543, 21362, 1229, 29237, 693, 853, 269, 27673, 781, 6481, 4741, 538, 519, 0, 17504, 3029, 281, 2150, 9201, 454, 272, 269, 8231, 1403, 596, 2150, 4120, 1945, 602, 568, 24516, 1540, 610, 814, 1831, 27390, 1472, 1945, 267, 596, 3768, 334, 519, 25418, 538, 621, 610, 1863, 621, 269, 1496, 309, 562, 316, 2340, 18568, 1261, 729, 1336, 18418, 2299, 3843, 547, 2150, 4120, 1896, 556, 1564, 540, 4670, 269, 1496, 309, 562, 316, 2340, 18568, 3267, 320, 1769, 267, 1875, 3613, 1157, 344, 544, 28907, 799, 2150, 9201, 4552, 543, 8591, 13085, 19542, 269, 476, 273, 269, 8231, 1403, 596, 2150, 4120, 513, 11821, 610, 7294, 3510, 267, 596, 1118, 519, 1114, 1919, 3238, 2312, 267, 610, 2322, 519, 3510, 1318, 269, 1496, 309, 562, 316, 2340, 18568, 4521, 14636, 543, 2272, 1218, 3459, 3843, 547, 2150, 4120, 519, 1950, 12602, 540, 519, 4871, 269, 1496, 309, 562, 316, 2340, 18568, 634, 1966, 3576, 1614, 3108, 547, 2150, 4120, 563, 4596, 289, 308, 6579, 291, 11628, 2296, 9218, 269, 14645, 9736, 22489, 19811, 23255, 0, 12626, 8144, 540, 7162, 506, 23547, 28637, 23517, 2633, 500, 11695, 363, 11111, 454, 2633, 506, 23547, 28637, 23517, 2633, 500, 11695, 363, 11111, 303, 10062, 676, 2910, 289, 308, 6579, 291, 1315, 329, 11446, 1678, 27256, 13045, 9377, 20532, 543, 25927, 725, 454, 333, 325, 10768, 11446, 1678, 27256, 267, 795, 11446, 1678, 1506, 288, 267, 795, 11446, 1678, 1506, 12711, 267, 795, 11446, 1678, 1506, 5953, 13045, 272, 269, 2551, 4756, 10902, 454, 763, 2551, 540, 513, 1747, 568, 519, 1004, 945, 2661, 972, 267, 610, 519, 1297, 540, 1004, 2713, 972, 269, 2340, 18568, 16273, 1631, 814, 513, 2551, 540, 827, 476, 8099, 2929, 269, 2340, 18568, 3267, 320, 7372, 2333, 538, 2551, 563, 273, 269, 2551, 1293, 762, 10902, 454, 2252, 596, 3277, 547, 513, 1880, 1826, 540, 2551, 538, 513, 1747, 267, 596, 616, 13288, 547, 782, 519, 1004, 610, 2831, 540, 602, 1826, 972, 269, 1496, 845, 531, 316, 2340, 18568, 901, 5540, 476, 4037, 269, 277, 829, 1298, 540, 519, 5256, 2551, 936, 28465, 563, 15648, 9736, 476, 1001, 275, 676, 22489, 31890, 23255, 269, 2353, 2924, 11603, 563, 9558, 3175, 540, 7162, 506, 23547, 28637, 23517, 2633, 500, 11695, 363, 11111, 689, 519, 19811, 19446, 547, 2296, 9218, 0, 1607, 5741, 9122, 4804, 2856, 729, 513, 5734, 609, 1250, 10026, 1053, 256, 1358, 6068, 11362, 538, 547, 713, 1788, 781, 13241, 2591, 256, 634, 623, 13993, 2238, 941, 14374, 1759, 543, 5393, 2502, 269, 589, 1390, 1259, 547, 7914, 1376, 2257, 538, 707, 476, 2641, 560, 11416, 4928, 2336, 293, 12767, 3689, 6103, 22054, 8490, 8627, 3689, 6103, 5675, 13749, 1452, 616, 1390, 585, 1101, 3446, 610, 4434, 9656, 547, 2259, 2679, 5220, 269, 1358, 616, 3501, 585, 7924, 7740, 267, 3232, 6640, 960, 269, 1452, 616, 4481, 2966, 585, 4098, 5830, 543, 4098, 3988, 563, 1432, 1223, 581, 811, 1187, 982, 2870, 707, 1378, 6532, 547, 12404, 707, 19266, 622, 14951, 286, 5620, 707, 1053, 1374, 741, 1378, 7066, 5501, 10934, 543, 6816, 256, 901, 1788, 1759, 4786, 1983, 2534, 568, 2966, 547, 7001, 519, 4690, 540, 1053, 1247, 12570, 741, 4786, 1983, 269, 11676, 878, 543, 2875, 1806, 3769, 256, 1269, 0, 10932, 936, 519, 2250, 476, 1428, 1296, 814, 5280, 547, 12172, 519, 14169, 543, 17550, 540, 621, 577, 267, 519, 4791, 2934, 540, 5778, 12949, 545, 621, 577, 25102, 27689, 543, 519, 3621, 30343, 540, 2500, 5574, 269, 5565, 621, 577, 25259, 11444, 2291, 281, 513, 1277, 8533, 3613, 574, 4327, 13374, 602, 3096, 2964, 1227, 1202, 17567, 595, 1922, 756, 637, 267, 543, 513, 10800, 327, 720, 3613, 574, 4327, 13374, 5097, 5473, 14671, 27567, 595, 1922, 756, 637, 269, 29568, 609, 1928, 3136, 547, 581, 3844, 547, 7713, 1585, 3344, 540, 621, 577, 269, 15742, 11983, 954, 928, 584, 976, 630, 289, 25632, 327, 321, 276, 264, 21391, 621, 577, 11444, 1369, 519, 24725, 18057, 282, 789, 949, 2099, 18657, 2209, 1063, 1100, 343, 1190, 543, 929, 584, 12792, 11444, 267, 543, 1450, 15072, 547, 21391, 621, 577, 269, 769, 519, 2634, 267, 6198, 9196, 2090, 7866, 27556, 11852, 7851, 585, 621, 577, 602, 16937, 267, 855, 711, 1541, 1227, 267, 609, 1928, 7851, 269, 11671, 12949, 545, 621, 577, 25102, 27689, 616, 5312, 621, 577, 2829, 1813, 547, 14524, 540, 15672, 610, 3844, 8401, 1062, 3889, 269, 634, 1034, 6444, 616, 2022, 615, 335, 2045, 621, 577, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20172, 21726, 11971, 8029, 1038, 952, 3597, 568, 7183, 6769, 3546, 2132, 1477, 1038, 562, 272, 815, 19219, 14813, 334, 3287, 267, 272, 267, 14085, 3418, 1038, 562, 273, 815, 19219, 14813, 334, 12169, 267, 272, 267, 14085, 3418, 1038, 769, 4650, 20172, 267, 272, 267, 14085, 19885, 272, 19885, 273, 3418, 1038, 952, 562, 272, 269, 24038, 2525, 333, 273, 269, 24038, 543, 562, 272, 4877, 1861, 256, 284, 333, 273, 4877, 1861, 6769, 3546, 2132, 6936, 1477, 1038, 2132, 8771, 24653, 10174, 272, 815, 19219, 263, 736, 3418, 10174, 272, 16000, 815, 19219, 263, 1789, 3418, 10174, 272, 16192, 815, 19219, 263, 2641, 3418, 10174, 272, 16000, 16000, 815, 19219, 263, 275, 3418, 10174, 272, 16000, 16192, 815, 19219, 263, 1556, 3418, 10174, 272, 16192, 16192, 815, 19219, 263, 276, 3418, 10174, 272, 16192, 16000, 284, 11966, 263, 1321, 10142, 2745, 263, 13765, 6831, 748, 1231, 20172, 272, 267, 275, 267, 1321, 17903, 0, 5228, 10070, 1104, 9949, 18743, 267, 1372, 4302, 5897, 5035, 3113, 6769, 1038, 1219, 6449, 8181, 9191, 1345, 267, 309, 8029, 3546, 1582, 17679, 815, 966, 1477, 3546, 1582, 269, 29951, 815, 9949, 18743, 17338, 3418, 3546, 1582, 15630, 10574, 31476, 1038, 1219, 1305, 10574, 4311, 8029, 3546, 552, 815, 703, 9272, 2891, 10938, 1297, 540, 8728, 2433, 834, 17903, 3546, 585, 1775, 538, 2039, 16216, 8029, 13376, 1820, 2891, 10938, 2707, 543, 3186, 2433, 14307, 754, 284, 3269, 3418, 13376, 521, 21683, 28504, 652, 815, 4786, 17301, 267, 6358, 14061, 20889, 3890, 3418, 13376, 1582, 269, 29951, 314, 338, 21683, 4940, 6572, 5560, 652, 3418, 13376, 1582, 269, 29951, 314, 323, 652, 4940, 6572, 4433, 21683, 10142, 1038, 1219, 645, 12396, 4311, 29679, 21683, 267, 6665, 1243, 8029, 3546, 10272, 314, 338, 21683, 24557, 12148, 1477, 3546, 7117, 815, 632, 4302, 14052, 3546, 7117, 6910, 4433, 21683, 3418, 3546, 1247, 7117, 6769, 13376, 579, 815, 7117, 4877, 963, 1111, 14052, 13376, 1820, 26086, 267, 754, 6889, 834, 3418, 13376, 585, 642, 538, 1582, 269, 29951, 314, 340, 316, 6769, 4449, 3546, 952, 711, 10272, 314, 341, 316, 6769, 4449, 13376, 10272, 314, 341, 24557, 12148, 1477, 4449, 13376, 7117, 6910, 17635, 3418, 14030, 1363, 1477, 4449, 1477, 309, 815, 703, 9272, 2891, 10938, 1297, 540, 14622, 2433, 834, 4297, 11434, 1477, 326, 815, 3113, 263, 309, 3418, 2745, 2891, 289, 12396, 21986, 531, 568, 2433, 834, 3418, 6665, 1243, 17342, 16178, 30297, 309, 1477, 1721, 1775, 538, 2039, 263, 309, 8029, 1038, 952, 711, 10272, 5157, 316, 6769, 3546, 575, 11065, 12396, 9217, 267, 6665, 1243, 3418, 0, 258, 13765, 2436, 1022, 10799, 532, 540, 962, 568, 2587, 1090, 540, 1535, 610, 711, 269, 5897, 3698, 568, 17951, 1090, 3287, 11971, 8029, 825, 544, 19885, 815, 7003, 3287, 1070, 6352, 12169, 3418, 825, 952, 544, 285, 333, 281, 8873, 8771, 1477, 825, 1535, 20189, 815, 1496, 271, 585, 9041, 538, 2039, 263, 2918, 13580, 1477, 825, 586, 20189, 815, 1496, 271, 585, 9041, 538, 2039, 263, 2918, 13580, 1477, 825, 585, 1775, 538, 2039, 9852, 8029, 1038, 1535, 20189, 314, 867, 3287, 5157, 8079, 268, 867, 3488, 320, 10807, 316, 23785, 272, 1477, 1038, 586, 20189, 314, 867, 12169, 5157, 8079, 268, 867, 3488, 320, 10807, 316, 23785, 272, 1477, 825, 952, 1535, 20189, 2525, 344, 20189, 281, 8873, 6936, 1477, 825, 585, 1775, 538, 2039, 263, 272, 19885, 2173, 266, 272, 8029, 1038, 586, 20189, 314, 867, 12169, 5157, 268, 272, 8079, 268, 867, 3488, 320, 10807, 316, 268, 284, 272, 1477, 1038, 586, 20189, 314, 867, 12169, 5157, 266, 332, 268, 272, 8079, 268, 867, 3488, 320, 10807, 316, 23785, 272, 1477, 1038, 952, 586, 20189, 2525, 343, 20189, 281, 8873, 6936, 1477, 825, 2132, 8771, 5897, 5897, 343, 815, 3403, 14052, 344, 815, 3403, 14052, 2745, 263, 529, 17951, 1090, 3287, 11971, 17903 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7157, 269, 2560, 13773, 5059, 563, 1432, 1281, 26545, 17331, 1611, 538, 17075, 888, 1103, 17075, 7194, 267, 26545, 17331, 538, 17075, 568, 3989, 607, 281, 634, 2600, 540, 942, 513, 6345, 4413, 525, 519, 3039, 538, 7939, 267, 855, 1869, 2306, 1612, 610, 1732, 269, 2560, 589, 6345, 4249, 513, 1612, 268, 274, 8559, 543, 4413, 525, 519, 3039, 593, 519, 751, 324, 8929, 269, 634, 6345, 13365, 909, 543, 2306, 519, 2322, 339, 269, 901, 568, 513, 3811, 26545, 1076, 4316, 563, 1692, 798, 596, 26545, 1076, 5907, 3457, 888, 1692, 547, 2480, 1090, 1076, 1975, 3539, 20905, 305, 684, 513, 30908, 540, 519, 1858, 609, 606, 5907, 17079, 18785, 269, 1452, 3457, 786, 3713, 12514, 543, 8301, 2594, 619, 676, 519, 5365, 789, 2322, 856, 269, 2560, 5590, 707, 26545, 321, 2401, 1985, 547, 596, 543, 2490, 621, 593, 269, 2560, 12414, 1055, 519, 26545, 321, 2401, 950, 596, 2461, 8737, 543, 4734, 563, 1432, 568, 519, 3014, 26545, 1076, 888, 1103, 519, 3014, 267, 519, 5022, 602, 666, 1118, 513, 6209, 2262, 616, 26545, 16940, 610, 6404, 909, 1927, 538, 513, 4351, 6752, 950, 513, 1268, 4249, 2262, 26545, 1076, 3014, 269, 24812, 723, 547, 30337, 519, 5022, 547, 1118, 513, 6209, 4845, 269, 634, 3014, 568, 811, 899, 519, 4247, 596, 1031, 547, 798, 547, 1451, 1913, 543, 29745, 950, 596, 941, 513, 4819, 269, 0, 292, 1872, 523, 773, 7439, 320, 5239, 476, 1724, 267, 476, 1708, 271, 3211, 454, 17843, 3211, 616, 2139, 585, 1114, 2127, 540, 1353, 693, 1753, 269, 1403, 596, 917, 1018, 707, 1126, 786, 581, 1565, 585, 519, 1032, 267, 596, 666, 2907, 1265, 3211, 585, 32059, 593, 602, 1880, 1888, 16638, 7446, 513, 4976, 267, 621, 568, 1271, 547, 2689, 519, 2707, 543, 2638, 519, 1570, 269, 3550, 602, 519, 1570, 543, 4267, 616, 4977, 269, 21414, 519, 4976, 676, 11264, 621, 3054, 269, 634, 4976, 1058, 1683, 1344, 5693, 543, 8308, 269, 5269, 2386, 621, 568, 4010, 1018, 596, 991, 547, 18954, 707, 1126, 563, 763, 2596, 25777, 3211, 602, 596, 666, 946, 616, 9412, 514, 685, 18471, 16707, 267, 1849, 12494, 685, 333, 685, 22391, 16707, 267, 10753, 4878, 16707, 267, 700, 17056, 16707, 267, 543, 17186, 11313, 333, 685, 26969, 15030, 3311, 19298, 616, 1631, 1373, 1031, 538, 1034, 3506, 607, 789, 616, 8810, 2500, 538, 5807, 513, 1453, 779, 1565, 1184, 269, 1703, 941, 2090, 602, 1397, 1453, 14775, 1732, 547, 3211, 3379, 547, 824, 19309, 543, 7453, 2409, 540, 3450, 563, 2252, 2069, 568, 707, 3804, 267, 596, 949, 1616, 513, 1305, 540, 3211, 2966, 547, 4001, 707, 1126, 782, 540, 519, 2596, 1983, 789, 786, 991, 585, 1153, 563, 295, 2345, 1041, 3211, 22508, 2299, 786, 711, 936, 2389, 1314, 707, 6578, 269, 1703, 616, 1082, 4025, 1141, 596, 666, 1205, 873, 693, 5393, 1970, 3790, 269, 769, 1249, 267, 1896, 7270, 2709, 7792, 3211, 585, 1863, 269, 2791, 666, 1265, 3211, 585, 513, 2647, 2039, 540, 6030, 1700, 531, 2865, 1022, 1576, 596, 1616, 547, 4001, 707, 1453, 269, 1452, 1331, 10259, 267, 1603, 267, 2296, 267, 1686, 267, 2979, 267, 2575, 267, 11585, 267, 543, 1866, 269, 1358, 2461, 849, 2139, 585, 5176, 782, 3446, 2157, 269, 1703, 616, 7792, 1647, 1153, 267, 1164, 1153, 267, 10026, 1153, 267, 543, 1256, 840, 17469, 3211, 563, 27645, 543, 3237, 10416, 616, 519, 3119, 3755, 540, 3211, 269, 898, 568, 606, 2500, 1907, 538, 4543, 1453, 1451, 875, 547, 2328, 563, 303, 600, 11253, 12794, 871, 568, 606, 3872, 22639, 267, 3084, 1459, 518, 543, 1883, 16694, 10584, 269, 2701, 568, 1071, 1922, 10133, 267, 2059, 609, 2278, 270, 13318, 1192, 528, 267, 6307, 8891, 3205, 267, 540, 11819, 6732, 26643, 267, 606, 3919, 602, 3091, 552, 9113, 1545, 543, 2228, 29468, 543, 11925, 585, 7855, 563, 30357, 13192, 2745, 762, 2238, 585, 9656, 1053, 2979, 3211, 585, 3214, 3214, 13004, 9212, 1863, 2790, 13004, 3211, 9251, 2534, 9212, 547, 1820, 1032, 476, 274, 1863, 13004, 3211, 3446, 737, 3211, 1863, 25258, 585, 3214, 7792, 1863, 9251, 3211, 1863, 2979, 4574, 3211, 585, 476, 277, 1032, 31545, 1863, 476, 276, 628, 3446, 2979, 3211, 7005, 3211, 10026, 1863, 6824, 3211, 1863, 7792, 3211, 585, 9251, 3610, 1863, 3211, 585, 21543, 13004, 6780, 9212, 2979, 4574, 547, 1820, 856, 2979, 7688, 4976, 7792, 3211, 585, 476, 277, 1032, 31545, 2979, 3756, 3211, 8228, 3211, 585, 3446, 476, 274, 1863, 12980, 3211, 840, 737, 9656, 3211, 1863, 13004, 2200, 13004, 2534, 9212, 1863, 1565, 25258, 3211, 585, 782, 9344, 1187, 9212, 585, 9656, 16439, 2238, 585, 9656, 2979, 585, 9656, 7824, 22525, 1565, 25258, 13004, 585, 1032, 476, 276, 1863, 3211, 3211, 31872, 272, 1863, 2979, 4267, 1187, 2979, 2534, 3211, 1032, 476, 275, 13004, 3211, 2979, 1983, 3211, 4267, 1863, 8228, 3211, 585, 9656, 1863, 3211, 585, 3214, 9251, 2238, 7792, 3211, 1603, 2238, 585, 9656, 7792, 1863, 7792, 9251, 3211, 6746, 2329, 3211, 585, 23021, 7005, 3211, 547, 1820, 2979, 7801, 3211, 2596, 2979, 1983, 3211, 2979, 546, 8636, 657, 2979, 3211, 676, 3446, 1377, 2979, 1820, 0, 1607, 1957, 7710, 519, 4082, 540, 2789, 9988, 538, 15349, 6178, 5678, 630, 307, 14660, 330, 17487, 364, 26535, 15756, 667, 8270, 282, 570, 384, 364, 291, 1070, 513, 1447, 1134, 24713, 1221, 1129, 1893, 269, 898, 6663, 547, 1683, 513, 3102, 6609, 540, 519, 2081, 543, 12451, 538, 799, 11769, 32469, 538, 713, 1893, 568, 6829, 267, 1312, 1369, 543, 3544, 519, 10902, 8360, 269, 1284, 1031, 513, 24402, 602, 2882, 1312, 19310, 1243, 543, 21245, 1239, 689, 5065, 1129, 619, 269, 634, 2164, 7866, 602, 1034, 540, 519, 7215, 540, 2789, 9988, 538, 570, 384, 364, 291, 616, 11599, 267, 8901, 2994, 630, 328, 4318, 269, 31338, 543, 8901, 12683, 2392, 6510, 1102, 3005, 264, 9039, 540, 799, 267, 649, 8044, 267, 1058, 581, 2808, 607, 9758, 12683, 16287, 3457, 609, 519, 1292, 2832, 540, 11589, 32469, 269, 5502, 267, 519, 4767, 3457, 585, 31338, 543, 2392, 6510, 1102, 3005, 1450, 585, 513, 12683, 7664, 950, 2789, 6753, 538, 2230, 616, 1031, 269, 3776, 1239, 798, 711, 1683, 2963, 602, 570, 384, 364, 291, 18271, 630, 335, 8793, 264, 24466, 12683, 16287, 630, 328, 4318, 269, 1487, 6473, 264, 593, 17205, 267, 538, 4334, 547, 930, 824, 1129, 4654, 543, 1082, 9275, 4654, 269, 1284, 9305, 938, 4681, 547, 4082, 540, 2789, 9988, 538, 824, 9896, 4654, 543, 538, 9275, 4654, 543, 1865, 891, 4681, 538, 2474, 540, 1110, 1275, 2360, 593, 4082, 540, 2789, 9988, 538, 1480, 1893, 269, 0, 8923, 1224, 1142, 2243, 5402, 543, 2824, 519, 2953, 2626, 676, 14467, 593, 519, 7222, 7735, 269, 634, 2626, 1883, 786, 581, 3177, 1310, 519, 7688, 568, 20639, 269, 853, 872, 324, 21255, 602, 2247, 2336, 300, 6973, 710, 543, 3009, 710, 666, 581, 1336, 630, 514, 1507, 5666, 264, 538, 799, 540, 519, 1739, 6878, 888, 2252, 596, 10288, 834, 339, 9461, 579, 18484, 257, 538, 513, 5545, 13962, 267, 1018, 1131, 596, 1205, 888, 7617, 540, 519, 1739, 3536, 568, 1034, 2693, 547, 1831, 13572, 676, 27187, 888, 7617, 540, 519, 1739, 568, 606, 796, 3042, 6891, 1500, 689, 10286, 543, 12277, 888, 5960, 294, 630, 3000, 657, 18754, 22965, 600, 622, 264, 568, 6508, 689, 2067, 5820, 563, 7617, 540, 519, 1739, 3536, 814, 519, 9803, 1216, 1543, 888, 7617, 540, 519, 1739, 6898, 827, 19637, 568, 10691, 3020, 888, 24109, 753, 616, 1034, 6213, 547, 799, 540, 519, 1739, 2596, 16919, 888, 1432, 616, 6653, 30103, 338, 888, 1432, 568, 1135, 31980, 888, 31955, 19158, 8541, 11773, 16214, 630, 290, 6993, 2529, 9950, 4700, 910, 12243, 11846, 454, 2710, 596, 723, 519, 2790, 1983, 2877, 547, 8011, 7619, 1227, 543, 27268, 286, 4855, 856, 609, 713, 1449, 269, 0, 14276, 3493, 657, 1080, 634, 12074, 602, 616, 6659, 676, 3906, 2047, 689, 519, 1857, 616, 1634, 607, 1857, 12074, 269, 26162, 540, 1719, 6035, 593, 1857, 12074, 616, 2356, 2362, 982, 602, 6035, 593, 4871, 12074, 269, 634, 2179, 6659, 689, 1857, 12074, 568, 3622, 1031, 676, 519, 2754, 585, 5870, 519, 10421, 540, 2324, 3854, 269, 898, 666, 1491, 1416, 540, 1312, 5420, 543, 2110, 2165, 2883, 4170, 563, 30560, 1080, 540, 5398, 3493, 657, 1080, 454, 272, 269, 634, 5650, 540, 13844, 12074, 568, 2241, 543, 1281, 711, 2270, 25516, 2175, 607, 538, 2013, 540, 513, 10211, 6876, 563, 273, 269, 8779, 540, 1857, 12074, 568, 3622, 2539, 982, 519, 1942, 540, 10210, 902, 689, 8492, 543, 2883, 5238, 563, 274, 269, 5398, 12074, 798, 711, 2356, 1711, 1022, 5279, 593, 519, 7221, 540, 519, 2754, 543, 8754, 519, 7221, 666, 581, 1031, 607, 3354, 585, 9870, 12029, 689, 824, 2959, 563, 275, 269, 634, 1852, 540, 519, 2754, 568, 711, 29809, 607, 519, 7263, 6002, 798, 711, 723, 13359, 1547, 2924, 563, 21918, 14591, 540, 5398, 3493, 657, 1080, 563, 272, 269, 1715, 3549, 3622, 1265, 621, 2352, 547, 6318, 2508, 282, 282, 998, 1857, 12074, 1813, 547, 3668, 540, 1434, 15884, 563, 273, 269, 898, 568, 606, 31877, 2707, 540, 8804, 607, 519, 1857, 949, 711, 4431, 950, 519, 2754, 2115, 2724, 563, 274, 269, 14635, 540, 1857, 12074, 949, 6961, 2352, 267, 3226, 950, 519, 2450, 540, 12074, 2838, 568, 1804, 563, 14303, 7134, 2423, 11789, 634, 6712, 540, 519, 2121, 15271, 799, 568, 711, 7856, 10838, 519, 23265, 607, 27993, 543, 568, 17477, 538, 519, 1870, 585, 946, 538, 519, 2104, 568, 1634, 607, 17477, 15271, 269, 898, 568, 513, 2707, 540, 4835, 14104, 543, 568, 849, 17941, 607, 19017, 15980, 563, 30560, 1080, 540, 4825, 7134, 2423, 11789, 454, 272, 269, 552, 22633, 15271, 568, 513, 8628, 2707, 540, 7482, 2139, 547, 606, 3919, 563, 273, 269, 898, 1281, 711, 4125, 1022, 8763, 1942, 538, 519, 1106, 540, 1719, 267, 610, 10581, 566, 1942, 563, 274, 269, 1703, 568, 513, 3152, 4110, 540, 10512, 5191, 543, 8112, 607, 519, 7482, 616, 6383, 24323, 563, 275, 269, 898, 10597, 519, 4390, 540, 519, 1870, 547, 10110, 6397, 9271, 563, 276, 269, 898, 949, 1291, 547, 2333, 538, 519, 2344, 3902, 540, 519, 9698, 8843, 540, 513, 2754, 563, 21918, 14591, 540, 4825, 7134, 2423, 11789, 454, 272, 269, 4400, 12802, 5223, 949, 2014, 27025, 8351, 10838, 519, 23265, 607, 789, 1131, 1205, 2539, 27993, 563, 273, 269, 898, 568, 606, 7334, 2707, 540, 7482, 607, 519, 12434, 540, 1870, 1832, 11385, 908, 563, 274, 269, 1403, 519, 4316, 1942, 2404, 609, 891, 7482, 568, 1164, 621, 949, 1291, 547, 1016, 12953, 685, 6099, 946, 540, 519, 7482, 269, 0, 303, 3233, 29366, 568, 3478, 1360, 10480, 909, 540, 1373, 19526, 538, 519, 8774, 269, 2701, 814, 1044, 1316, 2358, 519, 17281, 3440, 4161, 547, 1832, 1200, 1582, 7038, 539, 855, 621, 781, 1360, 2352, 538, 519, 4158, 269, 1924, 2484, 1352, 814, 6603, 476, 278, 563, 19226, 880, 519, 1985, 476, 276, 10881, 543, 1577, 721, 917, 707, 4267, 593, 31947, 631, 1662, 865, 649, 666, 1205, 1200, 856, 6789, 4338, 2336, 294, 583, 550, 698, 267, 12844, 928, 4260, 26234, 267, 11370, 523, 667, 807, 20330, 296, 4126, 596, 4312, 782, 1185, 513, 17681, 15964, 543, 616, 4712, 585, 1776, 1187, 3018, 540, 1565, 269, 6428, 2742, 267, 29366, 543, 594, 723, 3893, 6266, 540, 1187, 2238, 9709, 585, 596, 16921, 547, 798, 693, 1753, 543, 693, 1153, 563, 5649, 713, 3084, 13664, 2376, 827, 519, 22206, 571, 1326, 5052, 543, 723, 513, 979, 693, 16460, 519, 2055, 2630, 912, 272, 269, 5808, 1767, 602, 519, 4339, 585, 2021, 781, 2924, 729, 513, 1412, 24703, 267, 29063, 1165, 569, 262, 286, 4208, 798, 596, 1589, 789, 1767, 602, 888, 273, 269, 1548, 568, 519, 3017, 1063, 519, 22206, 4048, 1235, 543, 519, 22206, 571, 1326, 5052, 888, 274, 269, 1215, 1705, 14667, 8187, 532, 5096, 1749, 517, 5884, 286, 1548, 568, 621, 5156, 1352, 729, 3843, 547, 798, 888, 275, 269, 1548, 1764, 1705, 2622, 2782, 476, 272, 723, 593, 2021, 781, 2729, 538, 519, 5177, 888, 276, 269, 1215, 1131, 938, 2729, 581, 1114, 2221, 952, 621, 7012, 1405, 585, 519, 22206, 14141, 3350, 888, 2080, 616, 519, 1101, 476, 276, 10881, 269, 7490, 1577, 721, 917, 707, 4267, 593, 13711, 544, 1662, 865, 649, 666, 1205, 29366, 856, 6789, 4338, 2336, 2171, 786, 4194, 519, 824 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 9341, 31140, 568, 1360, 1804, 267, 789, 616, 9862, 971, 602, 789, 3548, 1114, 5686, 540, 1426, 630, 1729, 7753, 6735, 585, 1426, 264, 543, 2661, 538, 1114, 5686, 540, 4025, 630, 1729, 7753, 6735, 585, 12062, 1040, 2368, 540, 519, 14624, 538, 2831, 2713, 538, 9341, 31140, 616, 2433, 589, 2960, 7990, 799, 2337, 873, 547, 31491, 720, 630, 332, 1460, 909, 609, 519, 10450, 543, 12404, 264, 538, 1931, 547, 6952, 10352, 610, 2149, 2933, 689, 11975, 282, 26121, 1360, 3728, 630, 1729, 6952, 10352, 610, 9101, 689, 11975, 5148, 4886, 540, 17657, 267, 512, 639, 802, 267, 543, 1804, 10772, 543, 3952, 6902, 1744, 17369, 32416, 267, 11576, 1438, 6217, 543, 774, 1157, 2960, 282, 12389, 593, 4054, 282, 4886, 540, 2178, 267, 17680, 6137, 21217, 282, 7043, 543, 1804, 581, 6545, 282, 24761, 15437, 543, 700, 3716, 5639, 282, 12389, 593, 2732, 540, 5613, 267, 3092, 269, 1284, 786, 1631, 4766, 519, 14624, 540, 930, 540, 519, 2831, 799, 948, 873, 547, 2661, 543, 7639, 538, 519, 9341, 22986, 9249, 269, 0, 2171, 723, 782, 4274, 11648, 538, 938, 2729, 538, 476, 272, 2186, 610, 835, 811, 267, 2436, 610, 711, 607, 513, 2370, 835, 610, 607, 606, 6738, 1575, 269, 2311, 2053, 693, 938, 31399, 625, 267, 543, 824, 5712, 538, 519, 3354, 540, 938, 4865, 4036, 1878, 269, 2311, 2053, 649, 723, 1044, 519, 6408, 267, 543, 693, 824, 796, 331, 13806, 2053, 267, 519, 4439, 569, 269, 3143, 2339, 540, 519, 2085, 267, 5544, 267, 610, 6708, 540, 11648, 3318, 267, 513, 1268, 1448, 568, 585, 2318, 11648, 568, 3810, 17672, 547, 513, 1126, 779, 5626, 1072, 543, 666, 723, 9434, 29854, 267, 899, 15400, 4250, 543, 1514, 2566, 543, 4160, 563, 23744, 3993, 543, 4651, 616, 28336, 547, 4137, 856, 602, 741, 7911, 610, 8004, 949, 581, 10010, 693, 519, 3946, 540, 13032, 625, 267, 16887, 952, 519, 4191, 616, 10347, 7899, 540, 547, 581, 16053, 269, 1924, 875, 798, 649, 607, 1416, 339, 5474, 543, 7855, 4137, 856, 602, 938, 4816, 1223, 7654, 581, 7092, 689, 11648, 286, 1548, 3730, 2553, 666, 649, 946, 547, 11574, 519, 8801, 2164, 540, 621, 543, 2569, 873, 538, 519, 1761, 286, 2913, 721, 4685, 3617, 883, 519, 2339, 563, 8139, 31421, 1299, 4706, 31664, 2201, 5753, 454, 6524, 3695, 811, 827, 11648, 267, 621, 568, 2565, 547, 3313, 621, 7157, 269, 4340, 547, 519, 1977, 16723, 5948, 267, 11648, 568, 968, 320, 1106, 540, 10728, 2623, 538, 799, 2576, 22393, 543, 4749, 786, 2014, 513, 2417, 1480, 1373, 7063, 610, 11605, 269, 31421, 666, 1175, 1491, 519, 1826, 540, 15629, 1205, 538, 5905, 609, 267, 2453, 267, 610, 3606, 10347, 3527, 1848, 634, 1079, 1271, 1883, 2474, 538, 519, 9138, 4214, 616, 2048, 842, 1549, 958, 16224, 18867, 11021, 519, 957, 568, 8737, 593, 8247, 267, 543, 2048, 516, 701, 730, 569, 16224, 10834, 9888, 18384, 540, 519, 3527, 563, 31624, 2391, 568, 7839, 538, 31399, 625, 267, 7488, 540, 2436, 621, 568, 1034, 1271, 610, 6281, 3506, 269, 31056, 3872, 6703, 616, 6148, 835, 1880, 540, 519, 1034, 14222, 18353, 4010, 1141, 1762, 4079, 616, 4122, 16271, 547, 3982, 5686, 540, 11648, 269, 25682, 9439, 1867, 602, 3214, 849, 7237, 1585, 2157, 540, 11648, 538, 741, 4036, 1878, 267, 7363, 676, 606, 4587, 610, 1454, 811, 8789, 1920, 4759, 267, 799, 2882, 16254, 543, 3158, 543, 19033, 269, 3958, 267, 609, 2656, 10333, 547, 917, 24376, 538, 519, 2063, 1079, 1082, 1296, 267, 30378, 814, 28659, 30140, 267, 609, 6880, 321, 1638, 625, 8231, 958, 3771, 23035, 610, 17116, 824, 1004, 593, 11060, 267, 3226, 32249, 1507, 1453, 563, 31624, 2391, 666, 581, 3810, 15779, 585, 519, 3077, 543, 741, 11537, 5686, 267, 4470, 593, 519, 3178, 543, 4908, 540, 519, 3252, 269, 589, 1126, 779, 5626, 9716, 543, 1514, 1983, 666, 1205, 513, 3978, 10880, 269, 9741, 3283, 610, 1256, 4079, 945, 616, 9601, 540, 11648, 616, 2693, 547, 581, 811, 8401, 267, 609, 8519, 1582, 12635, 543, 1582, 21873, 267, 543, 616, 849, 21483, 547, 1832, 2476, 689, 1514, 4205, 269, 5664, 585, 590, 32169, 28509, 19752, 602, 11648, 968, 27463, 1162, 519, 3463, 585, 21817, 267, 2566, 543, 4160, 267, 3207, 2591, 267, 24390, 5850, 22920, 267, 543, 21177, 856, 540, 1153, 3034, 4002, 519, 824, 1688, 267, 1507, 1453, 945, 2087, 909, 11648, 824, 2043, 616, 811, 4440, 547, 2097, 547, 581, 10728, 6738, 22705, 538, 519, 14232, 267, 609, 513, 2799, 31007, 547, 5208, 267, 7803, 25213, 267, 543, 3075, 6057, 563, 1692, 6496, 31421, 10670, 888, 12179, 821, 666, 1332, 547, 581, 513, 4439, 569, 693, 1022, 2085, 269, 8479, 1453, 3335, 2824, 909, 29880, 3527, 899, 12932, 9179, 2081, 689, 741, 10820, 676, 11287, 741, 7622, 3755, 269, 769, 13685, 1141, 513, 23947, 543, 1453, 4759, 18252, 1202, 6699, 610, 6937, 607, 513, 1259, 547, 1852, 824, 1004, 267, 519, 3214, 10536, 610, 1174, 713, 2932, 547, 7682, 17282, 538, 4430, 540, 741, 15032, 547, 4831, 519, 10413, 789, 2731, 1745, 693, 7622, 563, 31624, 2391, 568, 849, 3810, 4448, 547, 22584, 543, 1416, 16531, 269, 3509, 2370, 3283, 543, 10708, 946, 11648, 585, 6284, 789, 29405, 543, 16616, 824, 1004, 547, 2731, 1745, 4824, 827, 873, 30441, 543, 1265, 1719, 610, 15418, 689, 2828, 269, 2423, 940, 32422, 543, 10825, 575, 1601, 760, 827, 1082, 1866, 547, 2322, 930, 1866, 1524, 568, 3335, 513, 6093, 8671, 545, 563, 17206, 13032, 625, 543, 29880, 14077, 27498, 849, 946, 12932, 9179, 610, 15629, 5208, 547, 1071, 518, 576, 824, 2043, 547, 798, 607, 789, 1616, 267, 585, 2013, 538, 1448, 267, 798, 741, 26050, 22812, 14142, 585, 873, 267, 543, 10536, 2476, 1866, 685, 22590, 267, 799, 1331, 9162, 610, 8907, 269, 634, 9030, 3804, 568, 547, 1128, 650, 5855, 538, 519, 6408, 779, 8186, 585, 1880, 2744, 563, 1692, 1677, 25506, 31421, 454, 300, 1682, 543, 546, 6758, 666, 7363, 2995, 952, 741, 27344, 568, 8391, 13032, 1221, 267, 538, 1880, 950, 646, 610, 1352, 10525, 23053, 540, 15629, 610, 2790, 8194, 269, 4634, 865, 267, 519, 4191, 543, 2589, 616, 1419, 11029, 543, 666, 1034, 4440, 979, 29462, 267, 1100, 3390, 875, 2616, 656, 519, 3237, 616, 269, 9603, 547, 6643, 10616, 543, 9000, 540, 723, 6015, 538, 267, 621, 568, 3335, 711, 9296, 6088, 585, 19920, 547, 1930, 909, 547, 741, 19033, 543, 3158, 952, 789, 10929, 269, 19452, 267, 1053, 1223, 2097, 547, 1745, 19849, 21724, 610, 31604, 540, 519, 4439, 569, 950, 8989, 713, 4990, 540, 5615, 547, 3610, 610, 2852, 8128, 269, 1924, 875, 798, 649, 3713, 952, 513, 2370, 835, 568, 1373, 13032, 1221, 286, 2561, 792, 856, 585, 519, 1739, 23053, 912, 268, 17023, 32592, 550, 267, 7920, 267, 610, 1236, 8636, 880, 6208, 454, 268, 1325, 614, 725, 538, 20882, 585, 1426, 454, 268, 26805, 3872, 2773, 454, 268, 16228, 680, 7134, 7063, 454, 268, 590, 1117, 610, 8697, 28378, 899, 19269, 267, 7802, 267, 9162, 267, 543, 865, 8521, 563, 268, 1234, 2017, 2590, 2566, 6285, 610, 31191, 454, 268, 23985, 602, 5526, 856, 540, 1915, 454, 2005, 568, 849, 2629, 547, 1294, 952, 707, 7911, 610, 8004, 568, 6721, 11648, 7592, 269, 5903, 539, 1934, 616, 930, 6786, 547, 1413, 856, 585, 912, 268, 16228, 680, 7134, 8907, 267, 9162, 267, 543, 824, 3688, 454, 268, 20548, 4809, 2932, 267, 1775, 4318, 1421, 8165, 610, 8231, 958, 705, 6748, 454, 268, 3502, 1210, 5539, 585, 741, 3268, 454, 268, 700, 3539, 543, 1025, 5446, 824, 11570, 610, 1022, 3099, 540, 12879, 454, 268, 11109, 2673, 2828, 602, 616, 13032, 625, 454, 306, 22066, 30332, 1677, 22388, 31421, 454, 8256, 18790, 602, 12621, 616, 4857, 585, 4867, 1373, 519, 19209, 585, 11648, 267, 519, 2852, 5234, 11129, 547, 581, 3063, 18762, 827, 17923, 5140, 2932, 543, 2408, 856, 585, 1022, 4191, 540, 11648, 610, 18275, 269, 589, 1007, 14568, 15020, 1434, 20171, 5267, 602, 968, 29324, 11179, 1867, 602, 19174, 18178, 1034, 13685, 540, 11648, 543, 616, 28336, 547, 5512, 10453, 950, 16761, 269, 589, 519, 3152, 851, 540, 11000, 3464, 1867, 602, 789, 2097, 547, 1745, 12707, 335, 1563, 547, 2709, 609, 4928, 11648, 269, 2368, 3610, 4439, 569, 2852, 1053, 593, 741, 1378, 267, 610, 8858, 513, 3668, 540, 6568, 4724, 19920, 945, 616, 13032, 1221, 1848, 1323, 8476, 9584, 1576, 540, 2962, 1256, 1498, 17849, 19174, 543, 16601, 2866, 547, 4383, 11648, 949, 7654, 581, 2500, 585, 16326, 543, 4227, 11648, 693, 12621, 269, 15083, 940, 4810, 2852, 2875, 24784, 607, 3927, 607, 16895, 693, 519, 2362, 3872, 6703, 543, 6280, 2179, 949, 5310, 849, 581, 606, 5363, 1935, 607, 3833, 513, 1906, 2852, 1053, 13720, 5626, 8171, 2042, 1317, 540, 547, 11179, 3478, 16271, 547, 11648, 563, 27736, 5631, 2992, 593, 1018, 789, 4487, 693, 23029, 269, 9747, 267, 607, 3993, 543, 4651, 267, 649, 616, 3743, 585, 18997, 2370, 3283, 827, 11648, 689, 741, 2038, 586, 3464, 269, 898, 568, 2629, 547, 1118, 873, 5431, 602, 789, 2731, 1058, 711, 1098, 28698, 824, 1004, 779, 6302, 610, 771, 27920, 873, 267, 6862, 1577, 824, 2043, 29875, 741, 6302, 610, 5134, 805, 873, 269, 4935, 267, 513, 1434, 3959, 10450, 568, 4105, 547, 519, 1126, 779, 1565, 267, 2101, 547, 4824, 1582, 17032, 543, 1582, 22644, 269, 23560, 519, 2816, 538, 519, 4287, 540, 18997, 10892, 267, 543, 2870, 27357, 543, 32705, 4205, 786, 2009, 5818, 723, 6015, 538, 543, 1577, 519, 1507, 1453, 917, 789, 666, 4096, 593, 741, 3158, 543, 19033, 269, 661, 671, 619, 543, 824, 14077, 3755, 1058, 2731, 14553, 669, 11501, 689, 28530, 610, 19163, 538, 13675, 540, 519, 1507, 1453, 607, 789, 616, 5393, 12705, 762, 543, 10375, 569, 911, 15436, 1242, 563, 2252, 707, 4816, 568, 6967, 4749, 13032, 1221, 693, 6280, 267, 621, 568, 4105, 7620, 547, 8300, 873, 547, 1491, 513, 1796, 543, 547, 1865, 547, 513, 14357, 610, 519, 7245, 476, 272, 560, 269, 1403, 519, 11648, 568, 10770, 267, 621, 949, 581, 5227, 547, 1935, 6280, 8128, 610, 27167, 519, 1055, 2658, 779, 3237, 269, 3958, 267, 513, 4810, 13309, 949, 849, 948, 707, 4816, 11574, 519, 9183, 543, 4487, 12003, 6127, 547, 2569, 519, 5626, 29854, 269, 0, 17457, 1857, 6283, 538, 938, 2197, 7389, 1394, 547, 476, 5002, 273, 269, 634, 1101, 2479, 1286, 9411, 938, 24528, 267, 606, 476, 279, 24605, 2582, 12718, 681, 1478, 4547, 1524, 676, 28089, 14559, 910, 513, 2199, 3703, 1870, 2006, 269, 634, 2197, 779, 18213, 1668, 3028, 862, 10642, 538, 476, 5002, 278, 950, 513, 4357, 1668, 10443, 689, 932, 559, 1177, 547, 2051, 558, 2692, 269, 4595, 1287, 1668, 3560, 814, 1044, 519, 1034, 1455, 1106, 540, 1857, 3560, 538, 519, 2197, 563, 763, 1101, 1668, 729, 16865, 538, 476, 5002, 278, 543, 1668, 3560, 3459, 607, 606, 8227, 268, 6016, 730, 3028, 269, 1703, 941, 1100, 6042, 269, 645, 4926, 14095, 547, 4390, 941, 9141, 693, 1164, 3432, 267, 1256, 693, 536, 1742, 593, 519, 9897, 269, 2480, 1090, 7632, 585, 13907, 267, 3006, 8694, 538, 535, 2065, 32332, 610, 1256, 538, 588, 13741, 902, 563, 4322, 543, 824, 4731, 335, 847, 1182, 538, 13287, 540, 5021, 7443, 19847, 3106, 543, 4313, 269, 901, 8507, 538, 519, 4259, 909, 540, 519, 3908, 15668, 9631, 333, 756, 639, 3549, 1472, 476, 3707, 271, 269, 18489, 3175, 729, 849, 22541, 538, 476, 4198, 272, 547, 1852, 519, 3549, 269, 1717, 267, 519, 3028, 3177, 4797, 547, 14016, 622, 563, 763, 14016, 908, 2533, 3366, 547, 1896, 862, 3827, 540, 14374, 267, 519, 13158, 5864, 11752, 538, 476, 3707, 279, 267, 519, 590, 753, 18223, 11752, 538, 476, 4198, 275, 543, 519, 20289, 541, 520, 3534, 28828, 571, 11752, 563, 1103, 476, 4198, 279, 267, 538, 1931, 547, 1683, 513, 1732, 3028, 547, 519, 1004, 267, 519, 2229, 540, 3735, 30856, 17335, 31686, 17020, 541, 3570, 833, 3084, 2213, 519, 1668, 2533, 543, 3964, 519, 9919, 14125, 13255, 8274, 630, 6311, 289, 1916, 763, 5137, 540, 513, 2582, 3084, 2213, 11769, 1500, 2009, 1279, 3845, 4238, 543, 4881, 21772, 593, 513, 1804, 1297, 540, 6917, 11507, 563, 2304, 540, 339, 20926, 10071, 9676, 519, 6891, 540, 602, 942, 269, 634, 1650, 540, 513, 7128, 1526, 762, 945, 29739, 593, 9878, 1010, 24214, 267, 6031, 519, 11632, 289, 20705, 547, 519, 1004 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14656, 540, 519, 1554, 270, 9515, 3138, 2216, 519, 5832, 267, 543, 1524, 1352, 2482, 282, 270, 763, 3376, 6908, 16004, 1200, 2484, 2476, 267, 270, 763, 15248, 540, 1744, 531, 2714, 19028, 3719, 609, 513, 6251, 1413, 267, 519, 7206, 568, 4904, 609, 14165, 545, 8100, 269, 634, 15248, 814, 513, 26816, 1181, 693, 519, 4395, 540, 1200, 10935, 282, 538, 519, 6648, 676, 570, 3317, 903, 517, 543, 10630, 538, 3627, 5261, 4826, 5264, 779, 3239, 621, 786, 4166, 581, 4158, 269, 4746, 267, 609, 513, 6251, 1413, 267, 649, 666, 1294, 513, 16961, 32267, 17479, 2282, 519, 4395, 540, 519, 6367, 267, 543, 634, 15248, 568, 575, 5074, 1318, 936, 621, 269, 8921, 547, 519, 16961, 32267, 616, 1614, 22250, 269, 15443, 956, 941, 513, 6041, 540, 1272, 1107, 1079, 540, 519, 22250, 616, 2907, 27762, 856, 267, 1129, 4328, 602, 1200, 2669, 568, 4166, 547, 2097, 269, 31035, 689, 519, 14165, 545, 3877, 267, 1018, 713, 7206, 568, 12595, 585, 568, 3627, 5261, 4826, 5264, 779, 10853, 7206, 5759, 269, 634, 15248, 543, 519, 1216, 543, 5251, 1472, 1200, 616, 5176, 16950, 1652, 267, 2943, 621, 568, 2312, 602, 634, 15248, 568, 519, 4998, 17122, 1448, 676, 519, 7920, 4778, 269, 4173, 10571, 568, 22880, 3043, 1996, 519, 1454, 18632, 24698, 540, 519, 4282, 563, 2108, 4517, 1524, 519, 5757, 779, 3897, 1163, 534, 572, 12024, 930, 12050, 694, 518, 538, 513, 959, 766, 2676, 8450, 532, 782, 1010, 1378, 3765, 577, 766, 454, 4415, 4837, 344, 1293, 28312, 454, 12441, 1352, 1413, 547, 6682, 601, 582, 563, 4517, 693, 519, 14656, 540, 519, 1554, 454, 9515, 3138, 2216, 519, 5832, 267, 543, 1524, 1352, 2482, 3248, 763, 3376, 6908, 16004, 1200, 2484, 2476, 2676, 763, 15248, 540, 1744, 531, 2714, 7536, 310, 14176, 8863, 302, 5308, 292, 670, 2207, 286, 5990, 623, 5308, 292, 267, 5990, 31266, 2207, 8668, 15562, 8582, 306, 269, 5990, 23333, 5495, 11965, 269, 0, 1432, 568, 22030, 286, 1547, 15875, 1143, 568, 547, 4341, 513, 1004, 610, 1747, 998, 17091, 267, 4108, 1379, 267, 2804, 610, 2797, 1379, 269, 1547, 5384, 1974, 538, 519, 4571, 547, 3735, 476, 5197, 271, 338, 1547, 3864, 2477, 12270, 5607, 543, 4000, 10838, 2933, 269, 6196, 1158, 4786, 454, 1692, 22030, 3323, 286, 1547, 4438, 519, 476, 5197, 271, 781, 267, 3864, 18831, 543, 519, 2136, 2276, 3323, 22030, 538, 5607, 543, 4000, 269, 1547, 769, 476, 7277, 272, 267, 3220, 269, 12389, 8725, 3323, 3695, 519, 3979, 25181, 1547, 4112, 32590, 540, 4154, 543, 19987, 538, 4000, 838, 13899, 10761, 538, 519, 5375, 18831, 269, 1547, 634, 7262, 6082, 4941, 22030, 538, 4000, 543, 5607, 1317, 540, 1007, 2804, 5322, 971, 607, 6151, 2326, 543, 1007, 6990, 547, 13143, 741, 5370, 563, 3725, 3517, 585, 22030, 2507, 907, 1547, 24619, 8567, 1547, 10261, 539, 6151, 2326, 1547, 31449, 1547, 29714, 547, 13143, 5370, 12285, 454, 269, 3683, 28134, 1107, 13143, 1004, 547, 10125, 269, 1547, 5269, 3864, 20679, 8273, 1547, 6513, 540, 7580, 7158, 1547, 590, 22222, 12324, 10371, 5527, 1547, 18582, 1537, 30198, 454, 763, 3943, 538, 3345, 3013, 2507, 1547, 3683, 28134, 1547, 2913, 1004, 1847, 547, 27988, 807, 1547, 968, 2370, 5333, 7536, 23873, 3935, 1944, 5527, 1547, 21984, 2326, 1547, 21864, 7158, 1547, 590, 22222, 22575, 454, 22546, 338, 540, 15875, 1143, 2507, 15474, 1198, 2560, 1547, 18831, 1831, 811, 3540, 1242, 1547, 2859, 4066, 1547, 2859, 2069, 1547, 1715, 8105, 2409, 799, 2333, 1426, 2504, 269, 20134, 6356, 2507, 1547, 4258, 777, 4074, 1547, 3143, 5191, 0, 291, 26376, 14112, 585, 20518, 3176, 3281, 9426, 8629, 7844, 267, 606, 10137, 540, 519, 3281, 9426, 8629, 7844, 630, 26376, 264, 602, 2636, 2910, 300, 3334, 547, 5968, 2066, 3060, 6302, 269, 12465, 2910, 300, 3334, 666, 1152, 1685, 954, 15263, 2792, 2066, 1184, 6302, 593, 519, 1482, 3684, 269, 667, 26376, 3096, 519, 681, 15425, 7271, 547, 12001, 569, 6494, 543, 4309, 1344, 1063, 2910, 300, 3334, 630, 328, 4318, 1421, 7218, 543, 13763, 264, 593, 519, 1482, 3060, 269, 667, 26376, 729, 1101, 1500, 2139, 538, 476, 1960, 276, 609, 519, 3355, 5305, 540, 8837, 24857, 476, 275, 563, 291, 26376, 5713, 519, 1482, 3483, 607, 22126, 781, 26712, 6865, 7014, 267, 799, 568, 519, 1034, 2442, 6388, 540, 2910, 305, 10621, 269, 9521, 2910, 305, 10621, 267, 799, 8255, 593, 1082, 5665, 1949, 267, 667, 26376, 568, 4867, 8045, 1152, 585, 8837, 563, 26835, 909, 547, 4266, 593, 519, 5767, 7835, 538, 5769, 16166, 609, 513, 1863, 12353, 20394, 689, 5680, 31638, 269, 15012, 547, 24049, 1631, 563, 2171, 1413, 693, 513, 1906, 540, 519, 811, 5538, 17331, 3344, 540, 7194, 543, 875, 891, 949, 581, 1031, 547, 4434, 606, 16786, 610, 7729, 342, 519, 5013, 547, 2576, 781, 1862, 3367, 2859, 9732, 3066, 5131, 15692, 29393, 585, 22418, 21178, 571, 5529, 4841, 454, 5804, 530, 871, 344, 15372, 23234, 547, 11000, 10689, 2645, 543, 1310, 1362, 9913, 267, 891, 15692, 8924, 616, 513, 1434, 3514, 585, 513, 2875, 781, 1272, 543, 6578, 269, 3367, 2859, 9732, 4537, 2130, 21784, 11106, 454, 288, 3395, 1297, 540, 30596, 1118, 519, 4687, 540, 3463, 4987, 513, 1883, 851, 540, 741, 3435, 269, 3367, 2859, 19314, 763, 7046, 3590, 3955, 28947, 630, 5308, 296, 264, 2203, 11225, 513, 13033, 5943, 547, 2936, 10873, 538, 5722, 6106, 269, 2422, 713, 13561, 3391, 547, 5635, 1862, 3367, 2859, 9732, 15187, 1740, 26386, 5530, 6651, 454, 15187, 11529, 17950, 11414, 519, 2679, 7161, 540, 2413, 3060, 1374, 269, 6258, 1114, 2010, 540, 5121, 267, 2035, 267, 6189, 543, 1862, 3367, 2859, 9732, 20663, 15339, 5530, 6651, 454, 1607, 5680, 31638, 1353, 3391, 6257, 519, 1114, 2694, 540, 513, 2780, 1062, 543, 741, 1894, 269, 3367, 2859, 9732, 0, 763, 19134, 5112, 13482, 729, 513, 3126, 540, 11401, 689, 5412, 476, 1428, 267, 476, 8687, 275, 1107, 5130, 476, 276, 267, 476, 8687, 276, 538, 19134, 5112, 267, 21086, 267, 2136, 2276, 267, 538, 799, 519, 1715, 4789, 4429, 295, 691, 5112, 13482, 267, 630, 20103, 476, 1428, 267, 476, 8687, 275, 1700, 20464, 476, 276, 267, 476, 8687, 276, 1070, 538, 772, 2529, 269, 1686, 267, 513, 5728, 5870, 538, 19134, 5112, 267, 21086, 267, 540, 8549, 626, 30896, 689, 21086, 4429, 763, 1909, 540, 19134, 5112, 13482, 538, 519, 1686, 540, 519, 2136, 2276, 540, 3013, 563, 1103, 3735, 476, 8687, 275, 267, 519, 1715, 4789, 8549, 1235, 3459, 519, 1034, 6101, 4082, 540, 741, 27025, 8351, 2112, 609, 519, 4098, 540, 519, 19134, 5112, 13482, 563, 295, 691, 5112, 13482, 267, 5463, 269, 476, 1428, 267, 476, 8687, 275, 1700, 13202, 269, 476, 275, 267, 476, 8687, 276, 267, 5870, 547, 2015, 519, 2042, 540, 1715, 4789, 538, 519, 2782, 540, 476, 8687, 273, 282, 4371, 693, 19134, 5112, 267, 1230, 333, 563, 1805, 7342, 11120, 1988, 269, 634, 21086, 13482, 4741, 3091, 606, 4998, 28379, 585, 12300, 2621, 267, 689, 15982, 19771, 547, 1804, 14908, 563, 295, 691, 5112, 13482, 267, 5463, 269, 476, 1428, 267, 476, 8687, 275, 1700, 13202, 269, 476, 275, 267, 476, 8687, 276, 267, 5870, 547, 2015, 519, 2042, 540, 1715, 4789, 538, 519, 2782, 540, 476, 8687, 273, 2782, 540, 476, 8687, 273, 267, 11439, 4655, 1063, 519, 2136, 4429, 4002, 5412, 476, 1428, 267, 476, 8687, 275, 267, 30896, 547, 519, 19134, 5112, 13482, 1558, 538, 5728, 693, 519, 6196, 3557, 5600, 538, 19134, 5112, 269, 634, 12590, 23328, 1185, 16761, 519, 454, 27751, 543, 1763, 30055, 540, 519, 19134, 5112, 13482, 5130, 476, 276, 267, 476, 8687, 276, 269, 2334, 621, 581, 543, 1934, 2421, 568, 5227, 547, 519, 9777, 2137, 540, 519, 1896, 2829, 6719, 538, 713, 4429, 8649, 754, 906, 547, 519, 9139, 1160, 12723, 676, 519, 19134, 5112, 13482, 2433, 476, 8687, 275, 0, 6573, 9680, 268, 275, 568, 513, 1505, 540, 10747, 13496, 540, 8301, 543, 3308, 630, 16787, 264, 3059, 1239, 269, 898, 729, 5189, 538, 3735, 476, 1960, 279, 543, 11280, 513, 3044, 585, 513, 1895, 540, 8301, 543, 4429, 1607, 2985, 3947, 1179, 604, 322, 4214, 540, 1018, 568, 12463, 9680, 268, 275, 267, 1018, 568, 519, 5413, 543, 19319, 540, 12463, 9680, 268, 275, 3898, 543, 875, 547, 6460, 3381, 543, 23861, 547, 12463, 9680, 268, 275, 3898, 563, 332, 701, 326, 476, 275, 1863, 4647, 910, 11473, 303, 611, 27587, 9990, 267, 2398, 1143, 11473, 20593, 614, 5131, 267, 22417, 311, 1729, 291, 13748, 267, 543, 1082, 811, 3292, 454, 763, 12463, 9680, 275, 3487, 476, 273, 11473, 1232, 18344, 1232, 3941, 3381, 12535, 602, 941, 23876, 2687, 547, 519, 12463, 9680, 275, 3487, 476, 273, 3044, 563, 288, 12449, 543, 3381, 2530, 344, 13496, 5690, 3044, 602, 568, 1759, 593, 12463, 9680, 268, 272, 543, 12463, 9680, 268, 273, 543, 11197, 16797, 11742, 2029, 563, 12606, 674, 293, 291, 17004, 12463, 9680, 268, 275, 11473, 5463, 18344, 476, 1001, 275, 268, 6021, 268, 3066, 2433, 674, 293, 291, 17004, 568, 513, 6034, 17004, 29852, 6882, 799, 10920, 12304, 525, 513, 2647, 2039, 540, 2923, 6119, 454, 6573, 9680, 268, 275, 3487, 476, 1691, 610, 12463, 275, 568, 513, 3059, 19180, 3898, 1034, 4122, 1031, 547, 4558, 3381, 543, 8301, 267, 855, 666, 849, 581, 1031, 547, 4558, 824, 1239, 971, 607, 5705, 527, 956, 543, 1869, 4429, 6573, 9680, 268, 275, 568, 513, 1106, 540, 12463, 9680, 17683, 269, 898, 568, 513, 8465, 8301, 543, 3381, 13496, 3898, 269, 634, 3898, 6257, 8301, 543, 3381, 13496, 267, 609, 513, 8708, 3898, 585, 4429, 5804, 5131, 20593, 1154, 281, 12463, 9680, 275, 568, 513, 3898, 1031, 547, 4558, 12463, 275, 6119, 538, 513, 19316, 1106, 269, 634, 5131, 12463, 9680, 275, 26761, 2636, 3755, 547, 1404, 741, 12463, 275, 3381, 6119, 609, 8897, 563, 763, 8837, 9012, 12463, 9680, 268, 275, 966, 274, 1232, 18344, 7028, 519, 1739, 3977, 2923, 1016, 18196, 950, 621, 568, 9117, 607, 513, 9012, 7690, 17992, 630, 300, 10499, 1040, 631, 293, 21581, 26705, 318, 312, 308, 312, 273, 282, 0, 21430, 22627, 22387, 16497, 269, 7490, 4063, 602, 713, 2985, 568, 1869, 6167, 29308, 454, 25321, 22552, 10813, 3582, 256, 594, 786, 581, 4946, 1454, 267, 1454, 811, 538, 519, 1985, 1906, 4374, 2336, 21430, 22627, 568, 513, 4640, 602, 666, 4217, 1775, 4296, 10371, 1862, 9737, 9910, 454, 1652, 976, 1053, 786, 581, 5870, 538, 11461, 2542, 2516, 610, 513, 1582, 5697, 4429, 21430, 22627, 282, 7726, 532, 282, 10439, 1944, 282, 769, 2536, 2590, 282, 10318, 1456, 11957, 454, 282, 16522, 1127, 1944, 269, 594, 1031, 519, 19671, 4245, 1336, 538, 11150, 2334, 4518, 912, 22826, 24366, 585, 4197, 543, 3267, 7726, 532, 22387, 6441, 612, 976, 4429, 9928, 1335, 320, 1315, 10435, 269, 22627, 22387, 6441, 612, 976, 269, 7689, 5071, 518, 281, 3057, 13453, 10548, 790, 345, 454, 22372, 593, 1546, 6277, 773, 16019, 781, 7335, 609, 12791, 269, 10432, 476, 272, 281, 21290, 10435, 4429, 4322, 5722, 4245, 543, 5722, 10063, 322, 17156, 1683, 3450, 2994, 547, 454, 15276, 1053, 1118, 782, 1614, 2157, 540, 4296, 4534, 547, 741, 1272, 2833, 267, 4429, 4178, 269, 2532, 2593, 30819, 19834, 286, 336, 284, 300, 7236, 7689, 593, 10435, 22627, 261, 341, 284, 2177, 18199, 273, 310, 332, 330, 271, 10621, 454, 20225, 476, 2918, 267, 476, 1001, 273, 3267, 1257, 547, 1582, 4296, 9910, 3992, 1948, 273, 269, 3267, 10435, 22627, 910, 7956, 547, 7956, 454, 21010, 687, 267, 6103, 476, 272, 267, 654, 6630, 910, 30991, 281, 476, 280, 281, 6734, 269, 19846, 333, 23894, 476, 276, 1704, 4429, 18704, 1806, 540, 4296, 689, 513, 5432, 1257, 609, 1053, 267, 1818, 2386, 547, 454, 1862, 769, 713, 3992, 267, 1053, 786, 1118, 1257, 3562, 268, 1345, 267, 1257, 3562, 17856, 267, 543, 1257, 3562, 8996, 4429, 23991, 570, 625, 281, 10435, 22627, 547, 13724, 7335, 24366, 630, 294, 10232, 918, 454, 268, 273, 264, 3267, 12866, 9910, 4245, 689, 519, 20553, 519, 3883, 1357, 3135, 1489, 1053, 607, 789, 4429, 300, 7236, 268, 1652, 517, 281, 10435, 22627, 269, 24110, 476, 273, 268, 275, 269, 5871, 11759, 3557, 11621, 269, 3040, 454, 6020, 269, 273, 269, 1015, 1635, 519, 1439, 540, 519, 1032, 267, 1224, 543, 10146, 21141, 5931, 267, 4429, 18439, 1656, 16699, 2274, 778, 781, 4604, 834, 974, 2286, 26012, 1818, 4296, 257, 593, 26964, 267, 513, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3504, 7239, 780, 4263, 744, 1663, 345, 670, 7238, 344, 6686, 330, 267, 2963, 5267, 602, 519, 3135, 4810, 9645, 2208, 543, 13884, 1282, 519, 18774, 523, 2065, 1974, 269, 14066, 8397, 2679, 3785, 267, 1519, 26832, 6189, 543, 6830, 5874, 267, 2992, 519, 2146, 781, 2810, 5763, 543, 1379, 269, 5015, 267, 3875, 9060, 540, 5259, 20341, 267, 11113, 267, 543, 1202, 18587, 1448, 547, 2673, 13218, 609, 824, 4525, 18460, 2147, 14759, 267, 10223, 519, 25872, 540, 519, 9962, 18774, 523, 2065, 1158, 780, 4913, 267, 5103, 519, 829, 11663, 4369, 540, 5259, 3310, 267, 5065, 5389, 30174, 7258, 891, 1007, 2686, 20558, 269, 10871, 24587, 4797, 547, 581, 26902, 5792, 267, 23344, 1419, 5348, 4038, 1242, 609, 741, 5259, 13413, 269, 3958, 267, 31546, 15066, 11265, 6163, 543, 7499, 18305, 28815, 267, 20515, 519, 6043, 543, 13916, 540, 26219, 2486, 8015, 4914, 28735, 780, 8139, 519, 6384, 540, 2686, 5385, 1282, 519, 18774, 523, 2065, 1974, 3788, 4143, 2221, 1813, 547, 5571, 9840, 7282, 14051, 543, 3961, 5250, 269, 7073, 6377, 16850, 8188, 2591, 15054, 676, 4028, 20012, 267, 2797, 16132, 267, 543, 5007, 6304, 1765, 15263, 525, 24188, 540, 1346, 14754, 538, 25196, 269, 1635, 4974, 2250, 2833, 267, 4207, 14519, 949, 29742, 3407, 4245, 827, 10188, 1950, 1914, 32241, 8916, 1247, 8497, 2189, 6561, 780, 1103, 3932, 267, 519, 18774, 523, 2065, 1974, 538, 16850, 4564, 513, 3638, 13795, 540, 3444, 14426, 13341, 543, 10124, 602, 3136, 547, 3673, 3729, 12206, 543, 24085, 7567, 269, 26317, 899, 744, 1663, 345, 670, 7238, 344, 6686, 330, 2709, 4105, 3255, 585, 3695, 891, 3157, 998, 11826, 3621, 7634, 543, 2565, 2079, 269, 1635, 29947, 938, 8223, 540, 713, 24233, 22184, 267, 649, 10802, 938, 7071, 585, 8103, 781, 3838, 2250, 543, 11349, 5483, 5380, 593, 10296, 2152, 29270, 519, 1459, 6377, 5664, 5101, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 476, 1220, 278, 17897, 2311, 2549, 553, 5984, 14114, 1663, 345, 670, 7238, 344, 6686, 330, 281, 589, 2776, 14083, 7797, 454, 385, 508, 5271, 8208, 667, 7238, 333, 1889, 345, 267, 661, 269, 2506, 710, 9294, 320, 667, 7238, 333, 1889, 345, 454, 21292, 281, 2549, 553, 5984, 267, 744, 1663, 345, 670, 7238, 344, 6686, 330, 267, 19196, 822, 566, 454, 302, 1663, 345, 670, 7238, 344, 6686, 330, 267, 538, 519, 2549, 553, 5984, 19435, 267, 13883, 538, 519, 8092, 18630, 540, 519, 6239, 4563, 7256, 16323, 267, 29084, 693, 519, 476, 2767, 628, 5998, 540, 519, 3331, 485, 28262, 6301, 5802, 267, 538, 519, 8513, 540, 519, 717, 7238, 16223, 7238, 344, 6686, 330, 11982, 20491, 5004, 630, 307, 384, 364, 294, 4932, 1040, 744, 1663, 345, 670, 7238, 344, 6686, 330, 267, 799, 814, 7516, 540, 476, 18231, 1535, 476, 18605, 544, 267, 568, 476, 1428, 544, 2362, 982, 519, 6676, 1377, 543, 814, 513, 2361, 540, 476, 3393, 269, 1822, 544, 273, 269, 634, 4238, 540, 519, 744, 1663, 345, 670, 7238, 344, 6686, 330, 4005, 476, 1220, 278, 941, 6192, 538, 1614, 11775, 281, 272, 269, 18001, 281, 5440, 7240, 4643, 15051, 281, 769, 519, 1283, 7240, 1544, 4238, 267, 799, 941, 9738, 6252, 547, 519, 14155, 725, 267, 930, 1283, 7240, 7851, 540, 744, 1663, 345, 670, 7238, 344, 6686, 330, 941, 6537, 547, 519, 10253, 540, 476, 272, 270, 1911, 271, 543, 476, 272, 270, 4335, 267, 609, 2930, 1489, 689, 519, 2549, 553, 5984, 7936, 540, 519, 4937, 10615, 622, 540, 3557, 10281, 14989, 3718, 630, 9169, 384, 364, 1040, 273, 269, 18001, 281, 2983, 2684, 12695, 3194, 15051, 281, 1306, 513, 2489, 20487, 540, 15456, 4609, 267, 519, 3017, 540, 519, 4070, 2326, 267, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 749, 523, 2065, 11270, 538, 16850, 630, 275, 628, 268, 272, 560, 5553, 14514, 17983, 607, 851, 540, 834, 19615, 1315, 5664, 5101, 1315, 16850, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 293, 2393, 4252, 568, 835, 540, 519, 1034, 2442, 5026, 538, 519, 1158, 267, 543, 922, 8560, 568, 7361, 1813, 547, 519, 10761, 543, 17674, 1464, 540, 519, 3014, 269, 2290, 540, 519, 1034, 4241, 3344, 540, 11176, 568, 519, 21597, 1062, 267, 799, 11887, 875, 6887, 616, 6896, 543, 14526, 1996, 1142, 824, 269, 769, 713, 3102, 3391, 267, 649, 786, 2263, 519, 25029, 540, 519, 11176, 21597, 1062, 267, 689, 519, 2497, 540, 519, 682, 8046, 547, 519, 13319, 543, 2124, 326, 566, 1184, 269, 6787, 596, 616, 513, 5884, 3620, 731, 10178, 610, 513, 30226, 518, 547, 519, 7328, 267, 713, 3391, 786, 1683, 596, 609, 513, 2312, 1620, 540, 875, 519, 21597, 1062, 538, 11176, 1568, 269, 1924, 267, 1577, 779, 1205, 3323, 543, 4685, 883, 519, 1158, 540, 11176, 682, 8046, 2336, 1432, 568, 513, 25624, 13477, 3590, 888, 14240, 543, 11137, 454, 763, 11176, 21597, 1062, 568, 513, 21712, 2497, 540, 11176, 682, 8046, 543, 15523, 602, 1827, 519, 3919, 543, 5106, 540, 11176, 15731, 538, 513, 2016, 2197, 610, 3148, 269, 634, 21597, 1062, 568, 2966, 547, 2327, 602, 11176, 15731, 723, 513, 4023, 543, 8013, 1604, 538, 799, 547, 7119, 267, 543, 621, 568, 1271, 585, 519, 1646, 543, 2208, 540, 519, 7328, 563, 1103, 1034, 2477, 267, 519, 11176, 21597, 1062, 568, 1500, 909, 540, 1896, 512, 4536, 610, 15523, 267, 609, 519, 1283, 512, 1512, 1373, 519, 1034, 20380, 543, 8013, 269, 3962, 6498, 814, 513, 1305, 540, 3652, 543, 6042, 602, 1827, 519, 5106, 540, 519, 15731, 538, 602, 6498, 267, 1519, 4170, 585, 6345, 14261, 267, 2883, 2359, 267, 543, 6345, 25046, 563, 763, 11176, 21597, 1062, 849, 2882, 513, 1062, 540, 13319, 543, 2124, 326, 566, 267, 1141, 15731, 602, 1685, 1134, 538, 2539, 15523, 723, 519, 4316, 547, 1847, 909, 547, 2362, 15523, 267, 1247, 15731, 602, 1685, 14605, 538, 2362, 15523, 949, 581, 2124, 326, 730, 547, 2539, 15523, 269, 901, 2337, 547, 2327, 602, 519, 21597, 1062, 3788, 8013, 543, 6422, 267, 543, 621, 849, 2488, 3255, 585, 4130, 15731, 547, 4473, 998, 519, 16034, 543, 14526, 693, 2362, 2157, 563, 14454, 267, 519, 11176, 21597, 1062, 568, 513, 2629, 5057, 540, 519, 7328, 267, 543, 621, 4249, 513, 4105, 1909, 538, 519, 1646, 543, 2208, 540, 11176, 15731, 543, 519, 7328, 607, 513, 2898, 563, 15650, 540, 25624, 2274, 8046, 454, 2467, 616, 1896, 2010, 540, 11176, 682, 8046, 267, 1142, 609, 922, 1378, 2189, 4162, 543, 2497, 269, 634, 1614, 1292, 2010, 540, 11176, 682, 8046, 616, 3084, 682, 8046, 267, 3486, 682, 8046, 267, 543, 6237, 682, 8046, 563, 13233, 682, 8046, 616, 519, 1034, 1455, 1826, 540, 11176, 21597, 543, 616, 3335, 6896, 676, 2197, 269, 1452, 682, 8046, 616, 1419, 7768, 540, 2789, 15523, 267, 609, 13319, 543, 2124, 326, 566, 1063, 873, 269, 6201, 540, 3084, 682, 8046, 1331, 519, 2296, 20031, 1512, 13477, 267, 519, 5053, 5487, 700, 27004, 267, 543, 519, 4436, 25143, 525, 5554, 320, 563, 17220, 682, 8046, 616, 11176, 19194, 602, 4125, 6887, 689, 2789, 2477, 269, 1452, 682, 8046, 616, 1419, 6896, 676, 18626, 1476, 25005, 725, 267, 971, 607, 772, 9128, 288, 267, 12164, 10933, 289, 5357, 267, 543, 11404, 293, 269, 6201, 540, 3486, 682, 8046, 1331, 519, 772, 9128, 288, 29073, 13477, 543, 519, 674, 9281, 288, 11833, 2622, 19067, 563, 8802, 1308, 682, 8046, 616, 11176, 19194, 602, 616, 6896, 676, 13664, 3148, 267, 971, 607, 513, 2749, 610, 1533, 269, 1452, 682, 8046, 616, 1419, 1447, 20380, 982, 3084, 610, 3486, 682, 8046, 267, 855, 789, 666, 1869, 1683, 3407, 6735, 543, 4598, 585, 6887, 543, 5716, 269, 6201, 540, 6237, 682, 8046, 1331, 519, 2296, 25624, 13477, 543, 519, 2817, 6468, 779, 17502, 1356, 13477, 538, 519, 2136, 2276, 563, 1692, 6496, 519, 25624, 13477, 3590, 4518, 888, 23220, 10056, 543, 1234, 5586, 566, 454, 15008, 540, 8871, 10056, 543, 1234, 5586, 566, 454, 23220, 10056, 543, 2124, 326, 566, 616, 519, 3157, 676, 799, 6887, 616, 15469, 689, 2539, 682, 8046, 547, 2362, 682, 8046, 267, 543, 13030, 17930, 269, 1452, 3157, 616, 2966, 547, 2327, 602, 6887, 616, 4730, 693, 513, 1377, 602, 568, 3617, 585, 741, 5578, 543, 1995, 269, 769, 824, 1913, 267, 519, 1732, 513, 2319, 15824, 267, 519, 2362, 789, 786, 581, 15469, 267, 543, 519, 2539, 789, 786, 581, 2124, 326, 730, 952, 789, 1685, 14605, 563, 1692, 621, 18748, 338, 30581, 543, 24812, 454, 23220, 10056, 543, 2124, 326, 566, 666, 723, 513, 1713, 1764, 593, 6887, 543, 5716, 269, 1280, 6887, 267, 13319, 666, 1611, 513, 1713, 2333, 538, 8907, 543, 4598, 267, 607, 1134, 607, 513, 4960, 547, 14526, 693, 513, 2362, 1377, 269, 2201, 519, 824, 1688, 267, 2124, 326, 566, 666, 1611, 513, 1713, 6175, 538, 8907, 543, 4598, 267, 607, 1134, 607, 513, 6560, 547, 14526, 693, 513, 2539, 1377, 269, 1280, 5716, 267, 13319, 666, 1611, 513, 4960, 547, 1404, 693, 513, 2362, 1377, 543, 5732, 7118, 811, 2724, 267, 1247, 2124, 326, 566, 666, 1611, 513, 6175, 538, 4730, 942, 543, 1761, 15271, 563, 23220, 10056, 543, 1234, 5586, 566, 7600, 4997, 454, 763, 7355, 585, 13319, 543, 2124, 326, 566, 4268, 4470, 593, 519, 21597, 543, 519, 2197, 269, 769, 930, 682, 8046, 267, 13319, 543, 2124, 326, 566, 616, 1759, 9003, 593, 3803, 21597, 1796, 902, 267, 1247, 538, 1866, 267, 3606, 2188, 971, 607, 1404, 26160, 610, 7484, 2773, 949, 581, 3144, 883, 2272, 269, 6684, 267, 519, 7355, 585, 2124, 326, 566, 949, 849, 4268, 267, 609, 930, 682, 8046, 1210, 513, 1062, 540, 2798, 829, 3014, 267, 1247, 1866, 946, 513, 2786, 2798, 1062, 563, 15008, 540, 519, 18745, 3590, 454, 763, 2798, 1062, 568, 513, 4909, 2460, 540, 519, 11176, 21597, 1062, 267, 543, 621, 4249, 513, 2629, 1909, 538, 8159, 519, 3803, 1796, 902, 540, 6887, 693, 519, 1439, 540, 1142, 4005, 269, 769, 713, 3296, 267, 649, 786, 1683, 513, 2143, 7778, 540, 875, 519, 2798, 1062, 1568, 543, 922, 2956, 538, 519, 11176, 21597, 1062, 563, 763, 2798, 1062, 568, 513, 10230, 6041, 540, 513, 2319, 779, 2773, 2429, 519, 4005, 269, 2311, 519, 1439, 540, 1142, 6474, 267, 519, 10888, 2319, 568, 13752, 1614, 2798, 267, 1247, 519, 9561, 2319, 11392, 4642, 2798, 269, 769, 519, 2680, 540, 513, 2721, 267, 1312, 6887, 616, 13752, 835, 1448, 1142, 269, 634, 2798, 13752, 547, 1142, 2319, 616, 1287, 15921, 592, 8271, 3773, 909, 267, 543, 519, 2319, 609, 519, 1034, 2798, 693, 519, 1439, 540, 519, 4005, 568, 10294, 519, 16771, 563, 1692, 18745, 616, 13815, 539, 454, 32622, 616, 13752, 693, 519, 1439, 540, 1142, 6474, 1485, 267, 543, 519, 2164, 616, 5462, 676, 519, 6364, 540, 519, 13292, 5129, 269, 634, 2798, 13752, 547, 1142, 2319, 616, 1759, 593, 519, 1739, 7355, 912, 268, 8422, 2798, 585, 513, 3094, 454, 268, 2290, 1448, 585, 513, 2721, 454, 268, 20023, 2798, 585, 513, 2530, 454, 1103, 1840, 547, 519, 1614, 2798, 585, 513, 3094, 267, 6887, 666, 849, 7118, 3606, 2798, 998, 824, 1797, 267, 971, 607, 3853, 20639, 267, 2973, 9212, 267, 543, 6345, 12644, 269, 1452, 3606, 2798, 616, 1634, 607, 968, 2548, 639, 2798, 892, 543, 616, 13752, 1759, 593, 1808, 7355, 563, 27735, 540, 519, 18745, 3590, 538, 10318, 1456, 13477, 5776, 902, 454, 763, 2798, 1062, 568, 519, 3119, 1505, 1031, 547, 3313, 519, 3803, 1796, 902, 540, 6887, 538, 519, 11176, 21597, 1062, 269, 2311, 519, 1439, 540, 1142, 4005, 267, 519, 2319, 609, 519, 1034, 2798, 568, 10294, 519, 16771, 267, 543, 789, 616, 15469, 547, 513, 2362, 6498, 269, 17957, 267, 519, 2319, 609, 519, 2547, 2179, 540, 2798, 568, 2124, 326, 730, 547, 513, 2539, 6498, 563, 763, 2798, 1062, 568, 849, 1031, 547, 3313, 519, 7158, 540, 6887, 538, 519, 21597, 3349, 269, 634, 3349, 568, 11231, 538, 27312, 1931, 1759, 593, 519, 1297, 540, 2798, 19017, 676, 1142, 2319, 269, 634, 2319, 30939, 519, 1283, 2990, 814, 519, 1034, 2798, 267, 1247, 519, 2319, 30939, 519, 5377, 2990, 814, 519, 2547, 2179, 540, 2798, 563, 763, 2798, 1062, 568, 513, 2629, 2460, 540, 519, 11176, 21597, 1062, 267, 543, 621, 568, 1031, 547, 3313, 519, 3803, 1796, 902, 540, 6887, 693, 519, 1439, 540, 1142, 4005, 269, 4197, 875, 519, 2798, 1062, 1568, 568, 1898, 585, 4896, 5461, 538, 1739, 610, 10283, 538, 519, 7328, 563, 15008, 540, 13477, 23959, 454, 8867, 6558, 7515, 616, 513, 21370, 6041, 540, 519, 1796, 902, 540, 6887, 538, 513, 1880, 21597, 269, 1358, 616, 1031, 547, 7584, 6887, 1759, 593, 741, 2773, 538, 513, 2016, 4005, 269, 634, 7515, 616, 3335, 11231, 538, 513, 6241, 3898, 267, 609, 519, 2319, 4408, 7396, 538, 9343, 269, 634, 9587, 2099, 1114, 14573, 267, 971, 607, 519, 1297, 540, 13292, 5129, 267, 2798, 12236, 267, 543, 3853, 20639, 563, 1692, 13477, 23959, 616, 6726, 730, 454, 8867, 6558, 7515, 616, 7229, 1759, 593, 519, 1297, 540, 2798, 12236, 676, 1142, 2319, 538, 513, 1880, 4005, 269, 589, 2319, 1274, 985, 1614, 2798, 585, 513, 3094, 267, 835, 1448, 585, 513, 2721, 267, 543, 4642, 2798, 585, 513, 2530, 269, 634, 1297, 540, 13292, 5129, 849, 2188, 883, 519, 9819, 267, 607, 6887, 609, 811, 13292, 5129, 786, 723, 811, 3255, 547, 7118, 2798, 563, 1103, 930, 682, 8046, 267, 17063, 3691, 5474, 616, 1031, 547, 3313, 519, 1796, 902, 538, 2013, 540, 513, 17063, 1063, 1079, 610, 811, 6887, 269, 1452, 17063, 3691, 5474, 949, 1331, 519, 2212, 3562, 268, 3650, 2594, 1063, 519, 6887, 267, 519, 3804, 3017, 267, 610, 519, 1297, 540, 3853, 20639, 563, 27735, 540, 13477, 23959, 538, 10318, 1456, 8871, 19600, 543, 1234, 5586, 725, 454, 8867, 6558, 7515, 1404, 513, 2629, 1909, 538, 8159, 3260, 687, 543, 2124, 326, 725, 693, 519, 1439, 540, 1142, 4005, 269, 634, 6887, 602, 9096, 693, 519, 1283, 540, 519, 3349, 616, 15469, 547, 513, 2362, 6498, 267, 1247, 519, 6887, 602, 9096, 693, 519, 5377, 616, 2124, 326, 730, 547, 513, 2539, 6498, 269, 634, 1297, 540, 6887, 15469, 610, 2124, 326, 730, 949, 4268, 4470, 593, 519, 2450, 540, 519, 21597, 543, 519, 1808, 13319, 543, 2124, 326, 566, 3652, 563, 8867, 6558, 7515, 849, 3313, 519, 6079, 902, 585, 7484, 19194, 543, 3486, 4663, 23788, 269, 634, 2362, 513, 2319, 568, 19486, 538, 519, 21597, 3349, 267, 519, 2362, 741, 694, 5338, 786, 581, 538, 891, 19194, 267, 799, 666, 2285, 873, 606, 5413, 538, 2474, 540, 8430, 543, 17837, 563, 14454, 267, 21597, 7515, 616, 513, 2565, 1907, 585, 10442, 2319, 2773, 543, 8159, 3260, 687, 543, 2124, 326, 725, 538, 519, 11176, 21597, 1062, 563, 763, 12856, 540, 25624, 2274, 8046, 454, 10831, 540, 30581, 454, 1692, 1082, 6887, 616, 538, 1142, 21597, 454, 763, 1297, 540, 6887, 538, 1142, 21597, 9775, 4470, 593, 519, 1377, 540, 519, 21597, 269, 1280, 1383, 267, 519, 2296, 20031, 1512, 13477, 814, 476, 736, 6887, 267, 1247, 519, 2296, 25624, 13477, 630, 9128, 299, 264, 814, 476, 7761, 6887, 2066, 922, 2185, 15523, 269, 634, 1297, 540, 6887, 538, 1142, 21597, 568, 5462, 676, 2188, 971, 607, 519, 2450, 540, 519, 2197, 267, 519, 8560, 540, 519, 7328, 267, 543, 519, 8244, 540, 30806, 338, 563, 26502, 602, 3313, 519, 1297, 540, 6887, 538, 513, 21597, 454, 763, 1297, 540, 6887, 538, 513, 21597, 568, 5462, 676, 513, 3099, 540, 2188, 269, 2290, 540, 519, 1292, 2188, 568, 519, 2450, 540, 519, 2197, 269, 1280, 1383, 267, 4130, 2477, 971, 607, 12986, 543, 10430, 723, 7864, 6887, 538, 741, 682, 8046, 982, 3677, 2477, 971, 607, 4789, 543, 8050, 269, 634, 8560, 540, 519, 7328, 568, 849, 513, 3815, 269, 2274, 8046, 538, 2477, 1141, 11176, 568, 519, 1034, 2442, 7328, 4043, 547, 723, 811, 6887, 982, 682, 8046, 538, 2477, 1141, 11176, 568, 711, 607, 2442, 269, 7053, 267, 519, 8244, 540, 30806, 338, 568, 513, 3815, 269, 2274, 8046, 609, 811, 30806, 338, 666, 13918, 811, 6887, 982, 682, 8046, 609, 7864, 30806, 338, 563, 25842, 540, 519, 1297, 540, 6887, 593, 519, 21597, 1062, 454, 763, 1297, 540, 6887, 538, 513, 21597, 814, 513, 1713, 1764, 593, 519, 21597, 1062, 269, 1280, 1383, 267, 513, 3677 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9458, 269, 1358, 949, 849, 1039, 741, 1378, 12496, 610, 5380, 267, 799, 666, 3006, 581, 11786, 610, 8954, 633, 269, 1306, 13588, 267, 621, 781, 1898, 547, 1935, 1142, 4670, 609, 513, 2565, 3750, 543, 2015, 519, 2081, 538, 799, 519, 4670, 20447, 781, 5079, 3337, 938, 1620, 540, 519, 1650, 1373, 5143, 780, 3383, 267, 1946, 1353, 4984, 543, 4670, 1927, 286, 1703, 616, 1896, 4128, 269, 3689, 267, 9413, 2709, 513, 2189, 1259, 547, 4497, 609, 1950, 2093, 543, 2055, 1644, 547, 5132, 543, 3661, 269, 654, 10248, 513, 4670, 2636, 721, 547, 1294, 3909, 2035, 4547, 547, 1272, 538, 513, 1471, 30844, 267, 3929, 1259, 602, 3112, 2141, 581, 6913, 998, 2854, 610, 9275, 1913, 4805, 269, 3958, 267, 7421, 8874, 666, 948, 721, 1020, 2565, 3206, 1983, 543, 5660, 519, 26274, 3238, 538, 2870, 513, 8903, 3308, 2239, 780, 9961, 713, 1770, 267, 649, 786, 4585, 24056, 689, 1585, 8874, 543, 1865, 875, 789, 9305, 547, 4168, 18381, 269, 2368, 540, 519, 9413, 649, 786, 1413, 693, 1331, 834, 763, 32425, 540, 519, 2441, 2437, 834, 763, 13584, 540, 5527, 2437, 543, 834, 763, 21001, 2193, 4518, 518, 1701, 1284, 786, 5659, 891, 8874, 1210, 513, 3099, 540, 2645, 543, 2553, 6537, 689, 1312, 18381, 543, 4670, 2090, 780, 2690, 1383, 267, 649, 1522, 2307, 2055, 899, 281, 1215, 1281, 519, 4670, 9446, 2696, 610, 824, 3909, 5515, 286, 1548, 4798, 610, 18305, 1281, 519, 4670, 946, 547, 2263, 5132, 610, 17035, 286, 1215, 798, 519, 14557, 14670, 2762, 267, 11049, 267, 543, 3280, 1374, 3565, 547, 519, 2949, 5048, 540, 519, 4670, 286, 1635, 6313, 891, 543, 824, 2055, 267, 649, 666, 15052, 938, 1620, 540, 1312, 519, 4670, 3294, 543, 519, 3909, 2035, 621, 11394, 547, 2263, 780, 8170, 1576, 267, 8384, 9413, 543, 6158, 827, 4984, 666, 581, 513, 6213, 1888, 267, 543, 621, 781, 2629, 547, 1935, 621, 609, 2463, 543, 22371, 269, 3776, 3804, 538, 713, 1770, 568, 711, 547, 3895, 1022, 1880, 3909, 21169, 267, 855, 2864, 547, 2263, 519, 2081, 538, 799, 9413, 666, 948, 721, 1732, 1174, 519, 6988, 543, 4763, 540, 1480, 1995, 780, 2026, 649, 3460, 998, 713, 1770, 267, 649, 4126, 596, 786, 3605, 1007, 4030, 543, 5380, 593, 4984, 543, 4670, 269, 6787, 596, 2097, 689, 513, 3909, 4282, 610, 711, 267, 649, 3494, 602, 3695, 891, 3584, 666, 10802, 707, 1620, 540, 519, 1158, 1472, 596, 543, 8300, 6209, 7391, 609, 2828, 267, 1920, 267, 543, 2146, 2818, 269, 1924, 10544, 930, 1402, 25468, 267, 7017, 883, 707, 10160, 267, 543, 1577, 781, 1205, 3323, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9558, 3939, 267, 769, 615, 13330, 267, 2506, 1637, 476, 2537, 454, 311, 296, 281, 1677, 14332, 610, 711, 547, 14332, 888, 300, 9461, 515, 328, 772, 525, 3031, 320, 543, 1010, 29331, 281, 32438, 593, 9177, 267, 20603, 267, 15215, 543, 589, 1731, 18480, 454, 8512, 476, 272, 281, 2776, 3916, 514, 2456, 281, 15215, 543, 2048, 24292, 20603, 7055, 1607, 6241, 568, 513, 556, 628, 9722, 540, 6927, 5941, 538, 1079, 4930, 602, 941, 3370, 1896, 1296, 3516, 269, 634, 4930, 941, 3370, 538, 26304, 2398, 534, 514, 781, 12139, 589, 1731, 18480, 4750, 454, 316, 609, 519, 2140, 267, 834, 307, 537, 4221, 519, 18104, 1701, 4595, 594, 5206, 1346, 4930, 267, 594, 723, 5030, 1934, 538, 3567, 3476, 267, 723, 1224, 543, 6594, 1454, 811, 827, 782, 3344, 540, 3567, 543, 922, 2528, 267, 855, 723, 711, 1185, 519, 4316, 547, 23590, 873, 543, 519, 3791, 2376, 568, 1869, 1152, 3368, 27787, 267, 4557, 1296, 1310, 621, 729, 16219, 269, 4427, 2425, 550, 589, 5942, 16158, 454, 3712, 8435, 593, 513, 1731, 18480, 543, 1893, 267, 2523, 519, 3594, 593, 737, 582, 617, 4821, 454, 267, 723, 267, 538, 1250, 6644, 267, 7152, 519, 21739, 3909, 2470, 540, 5651, 328, 515, 328, 772, 525, 3031, 320, 781, 3206, 269, 1717, 267, 972, 568, 9165, 585, 24263, 1055, 891, 2663, 9587, 676, 3001, 2476, 689, 14553, 10409, 9270, 547, 2339, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 1108, 543, 17912, 5525, 257, 607, 851, 540, 834, 32628, 1315, 8567, 1315, 9085, 1299, 519, 8551, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 14044, 18712, 630, 23623, 264, 543, 4119, 7757, 18712, 630, 2752, 2567, 634, 8892, 540, 8342, 543, 4804, 692, 5970, 596, 2479, 16545, 19480, 883, 707, 5172, 3381, 3014, 610, 8384, 707, 5172, 7260, 2097, 547, 1272, 1318, 1354, 707, 4064, 286, 4270, 267, 7064, 547, 1079, 5863, 4066, 1572, 14044, 18712, 630, 23623, 264, 543, 4119, 7757, 18712, 630, 2752, 1070, 891, 6909, 2833, 666, 1631, 1831, 513, 4641, 256, 2913, 781, 4685, 4514, 883, 1018, 15283, 543, 8121, 1611, 267, 875, 789, 960, 267, 543, 930, 9735, 1806, 602, 786, 4734, 596, 27086, 2439, 1432, 4010, 616, 14044, 18712, 630, 23623, 264, 543, 4119, 7757, 18712, 630, 2752, 264, 2496, 5331, 1373, 2111, 547, 2322, 593, 2027, 575, 17344, 956, 602, 3560, 596, 547, 513, 2898, 1007, 1158, 1141, 3388, 596, 1294, 3884, 1405, 1483, 855, 7959, 11212, 3076, 601, 833, 269, 2334, 781, 5691, 4641, 630, 23623, 25631, 2060, 15283, 267, 596, 666, 2263, 30152, 4025, 899, 9018, 2230, 610, 1256, 2951, 1394, 538, 942, 547, 3140, 2621, 269, 1411, 666, 849, 1404, 3756, 267, 1451, 1007, 1919, 267, 543, 2743, 2828, 538, 713, 15138, 3059, 1604, 780, 3086, 4605, 3054, 9849, 2834, 14296, 267, 4849, 891, 1577, 596, 2070, 19347, 7068, 610, 5363, 10274, 30305, 936, 519, 1483, 1158, 1472, 596, 269, 901, 568, 21284, 4641, 630, 2752, 1040, 9521, 15283, 267, 799, 4625, 30283, 707, 10450, 267, 8121, 10597, 707, 4890, 1604, 676, 4946, 3063, 6106, 540, 1187, 543, 7317, 1344, 780, 1692, 798, 15283, 543, 8121, 2965, 960, 2496, 13828, 15283, 543, 8121, 946, 3532, 2780, 1949, 543, 15931, 3301, 547, 1711, 741, 9589, 2360, 269, 1280, 15283, 267, 1346, 2027, 9843, 1115, 2270, 13819, 602, 4159, 2592, 4481, 2966, 547, 8945, 707, 2634, 883, 3206, 596, 2811, 12341, 3116, 7357, 269, 11576, 832, 1369, 519, 2212, 3553, 3950, 707, 5322, 543, 4188, 519, 5961, 9935, 865, 602, 950, 596, 2490, 707, 2212, 2451, 610, 1318, 267, 909, 610, 1524, 267, 519, 6429, 7575, 2059, 609, 596, 269, 2368, 4359, 15283, 1305, 5725, 949, 849, 1331, 17309, 610, 13938, 903, 7057, 602, 1683, 28241, 5955, 267, 3850, 596, 547, 1745, 3615, 3330, 519, 5691, 1158, 2439, 13971, 7757, 4641, 1568, 8335, 2094, 621, 3085, 1405, 5372, 707, 3003, 2361, 540, 5075, 269, 5502, 267, 8121, 3096, 12514, 3710, 883, 16389, 267, 14342, 267, 610, 7463, 2363, 1168, 792, 547, 7001, 519, 1483, 1158, 1472, 596, 269, 3973, 267, 1210, 6946, 6620, 267, 621, 8591, 5841, 2609, 16900, 5196, 1018, 596, 2811, 7487, 269, 1452, 23937, 666, 2039, 689, 2241, 12449, 547, 1950, 27515, 602, 2170, 609, 707, 2168, 1604, 780, 14300, 540, 15283, 543, 8121, 538, 2962, 1384, 272, 269, 4065, 281, 3509, 3506, 723, 3323, 6220, 1312, 15283, 543, 8121, 883, 741, 19593, 592, 4548, 547, 948, 1053, 1732, 1174, 2352, 2035, 269, 5994, 1565, 827, 3504, 7507, 676, 6972, 998, 922, 14297, 10754, 610, 4974, 9511, 676, 22392, 5546, 538, 476, 274, 291, 2230, 563, 273, 269, 30007, 281, 11473, 3756, 616, 4440, 519, 1101, 3364, 602, 2501, 547, 2247, 950, 6158, 827, 15283, 543, 8121, 269, 10632, 899, 19468, 17939, 518, 267, 623, 758, 2946, 3000, 3619, 267, 543, 28149, 3047, 2709, 13858, 9035, 602, 11100, 519, 1655, 3344, 540, 519, 3059, 543, 1483, 10600, 563, 274, 269, 16195, 281, 6481, 4648, 8415, 15283, 543, 8121, 585, 1585, 5301, 267, 1519, 2866, 23262, 267, 4543, 2550, 4383, 1928, 267, 543, 8888, 2688, 14382, 4854, 17873, 563, 275, 269, 3203, 1299, 5071, 281, 6282, 1161, 946, 15283, 543, 8121, 2645, 547, 1374, 5656, 267, 18810, 267, 543, 10367, 538, 5499, 2081, 269, 1358, 666, 14650, 741, 13144, 693, 2407, 4336, 1354, 9308, 14335, 873, 563, 276, 269, 24524, 281, 29393, 899, 19933, 6239, 15283, 543, 8111, 11499, 2981, 3635, 13467, 883, 19278, 2238, 267, 1818, 9363, 3514, 1454, 811, 11791, 780, 2026, 596, 666, 1294, 267, 972, 616, 9118, 3156, 585, 1312, 14044, 18712, 630, 23623, 264, 543, 4119, 7757, 18712, 630, 2752, 264, 2066, 2789, 6080, 269, 1635, 9256, 1480, 27265, 609, 5969, 12967, 2029, 267, 649, 1930, 9885, 547, 11995, 7399, 602, 786, 17216, 1689, 519, 1259, 649, 2661, 267, 960, 267, 543, 1404, 269, 1924, 1832, 606, 3750, 856, 585, 891, 4241, 7760, 910, 945, 6487, 267, 6148, 14693, 4166, 267, 9358, 1223, 581, 2870, 519, 1985, 2462, 3364, 538, 15283, 610, 8121, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 2617, 566, 1772, 23875, 9453, 4658, 912, 8139, 519, 5274, 27100, 540, 5303, 454, 22897, 814, 4957, 519, 1259, 649, 2661, 938, 2729, 269, 898, 779, 1100, 3476, 1175, 513, 2262, 1644, 547, 5904, 267, 11436, 267, 543, 824, 3457, 1107, 621, 779, 1831, 513, 1259, 540, 1272, 269, 1306, 2029, 27372, 543, 2242, 267, 3549, 616, 2141, 3168, 585, 1007, 2081, 547, 2087, 741, 2472, 543, 2533, 563, 2691, 649, 1589, 540, 519, 1158, 779, 1034, 4583, 31132, 267, 971, 607, 7338, 32525, 267, 19378, 22868, 267, 543, 9291, 27176, 267, 649, 1419, 7340, 782, 519, 1004, 945, 5280, 873, 1118, 741, 10124, 513, 4641, 563, 763, 6574, 18563, 538, 1686, 941, 711, 2813, 676, 835, 1268, 2324, 4805, 269, 7338, 32525, 568, 1419, 20295, 609, 519, 8798, 540, 519, 1769, 15941, 267, 855, 646, 729, 513, 3523, 1807, 945, 16941, 593, 1082, 1004, 563, 2690, 1383, 267, 646, 32524, 609, 2447, 626, 5261, 15867, 10280, 547, 3132, 606, 1651, 663, 27853, 15941, 602, 1223, 2063, 585, 811, 982, 606, 5662, 269, 1656, 32525, 779, 13930, 267, 21208, 7637, 23592, 267, 2919, 513, 1062, 547, 10141, 5201, 936, 1279, 9883, 563, 17556, 557, 22868, 729, 1634, 585, 554, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29919, 18712, 630, 23623, 264, 543, 4119, 7757, 18712, 630, 2752, 17983, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 5303, 1315, 769, 6761, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 296, 6415, 6126, 547, 2743, 596, 543, 948, 596, 1174, 811, 827, 938, 1158, 269, 2913, 803, 2995, 596, 513, 1650, 827, 513, 942, 1974, 1572, 519, 4279, 12870, 16527, 267, 799, 3576, 1747, 1282, 519, 476, 736, 628, 2540, 538, 513, 2197, 1634, 607, 519, 2136, 2276, 780, 5629, 2390, 513, 942, 267, 538, 519, 2038, 851, 540, 519, 476, 5002, 271, 338, 267, 972, 729, 513, 1895, 540, 1004, 945, 5030, 1927, 538, 513, 5318, 2244, 4904, 609, 3309, 8916, 971, 607, 10239, 267, 24301, 267, 7733, 267, 543, 4872, 269, 901, 1895, 540, 1004, 941, 1634, 607, 4892, 267, 543, 789, 1185, 3710, 1082, 3889, 547, 2661, 538, 543, 960, 538, 269, 1452, 3889, 3769, 8075, 1500, 540, 3574, 610, 15839, 1141, 789, 11739, 696, 543, 17696, 282, 15327, 543, 13646, 1141, 789, 5249, 282, 3506, 1141, 1453, 4121, 1007, 1919, 282, 10506, 1141, 7210, 1004, 4682, 547, 1205, 1732, 282, 543, 15945, 1141, 1004, 11751, 1426, 543, 824, 5370, 780, 1103, 519, 1032, 476, 4572, 280, 267, 1945, 6397, 5949, 269, 589, 2603, 540, 1004 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 11133, 815, 703, 9272, 3488, 10938, 513, 1297, 281, 1412, 17903, 338, 815, 476, 271, 1477, 31184, 815, 1003, 1477, 6112, 10917, 3436, 476, 271, 6769, 825, 7857, 815, 10917, 4939, 476, 1015, 1477, 825, 521, 6834, 7857, 2878, 476, 274, 1477, 825, 10917, 12262, 284, 476, 1015, 5897, 604, 1003, 2652, 521, 6769, 825, 1820, 3488, 30265, 17641, 7089, 20298, 12828, 6769, 825, 1820, 3488, 8253, 28226, 7089, 10807, 0, 20657, 2711, 815, 703, 9272, 3488, 10938, 513, 8918, 1297, 281, 1412, 264, 10142, 2745, 2891, 295, 1410, 1228, 31565, 7089, 281, 14307, 15279, 263, 20657, 2711, 17903, 0, 258, 5358, 547, 1711, 513, 8562, 983, 21912, 5903, 540, 562, 9136, 543, 4159, 621, 538, 9258, 1931, 5897, 258, 6282, 513, 6843, 540, 1592, 1477, 5035, 19219, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 8029, 1038, 1582, 21606, 815, 1239, 1477, 1038, 1582, 12785, 815, 7183, 5897, 258, 8073, 8562, 983, 21912, 1592, 1477, 5035, 8562, 983, 299, 22075, 8266, 6769, 825, 1948, 13207, 2130, 2212, 543, 2766, 24072, 607, 14275, 1477, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1582, 23584, 815, 19219, 263, 14085, 3418, 1038, 1582, 6745, 841, 815, 19219, 263, 14085, 3418, 1038, 1582, 23584, 12785, 815, 1582, 6745, 841, 1477, 1038, 1582, 6745, 841, 12785, 815, 1582, 23584, 5897, 825, 1948, 12861, 1599, 585, 4946, 1007, 6843, 693, 519, 1439, 540, 519, 1592, 1477, 825, 1219, 1039, 4311, 267, 1239, 8029, 1038, 1007, 11966, 815, 19219, 16597, 3418, 1038, 1948, 6744, 2436, 1592, 568, 8900, 1477, 1038, 952, 1582, 23584, 21606, 568, 7183, 6769, 2018, 1948, 1403, 1592, 568, 8900, 267, 1312, 2212, 543, 2766, 786, 1448, 547, 1007, 6843, 1477, 2018, 1582, 23584, 815, 1007, 11966, 1477, 2018, 1582, 6745, 841, 815, 1007, 11966, 1477, 2018, 1007, 11966, 12785, 815, 521, 0, 12163, 825, 5871, 7780, 1006, 12793, 454, 20701, 3698, 1612, 572, 5334, 26973, 4433, 26973, 2187, 825, 2132, 5578, 21858, 2891, 834, 25011, 271, 6540, 3698, 14816, 10734, 611, 318, 30726, 5560, 8812, 23952, 2187, 825, 5727, 3097, 1038, 3816, 7174, 14068, 1915, 454, 825, 8173, 825, 3983, 318, 10420, 815, 22373, 265, 2580, 834, 258, 2580, 834, 259, 2580, 834, 260, 31116, 825, 2132, 1412, 8339, 21860, 263, 577, 585, 669, 538, 18660, 23952, 952, 711, 669, 538, 3983, 318, 10420, 2020, 3698, 14816, 318, 6050, 5560, 8812, 23952, 2187, 825, 8173, 1038, 14816, 20514, 689, 5569, 454, 825, 8173, 825, 2132, 1412, 8339, 21860, 19304, 585, 1193, 538, 18660, 23952, 21858, 6050, 31156, 0, 5228, 3113, 5035, 1104, 8641, 267, 7638, 23753, 5897, 5035, 667, 12396, 19723, 23753, 263, 19723, 23753, 8029, 825, 1219, 6449, 8181, 9191, 8029, 1038, 2706, 14061, 1029, 8181, 9191, 3418, 1038, 1582, 269, 30976, 339, 815, 476, 271, 1477, 1038, 1582, 8807, 1400, 339, 815, 476, 271, 5897, 19723, 23753, 815, 667, 12396, 19723, 23753, 5897, 5035, 667, 12396, 20877, 263, 20877, 8029, 825, 1219, 6449, 8181, 9191, 8029, 1038, 2706, 14061, 1029, 8181, 9191, 3418, 1038, 1582, 28333, 815, 476, 271, 5897, 825, 1219, 546, 12028, 4311, 8029, 1038, 585, 14584, 538, 1582, 6769, 2018, 14584, 269, 10233, 815, 476, 271, 1477, 2018, 14584, 4877, 1042, 324, 19485, 815, 910, 272, 1477, 1038, 585, 14584, 538, 1582, 6769, 2018, 952, 14584, 269, 10233, 2652, 476, 271, 6769, 3546, 1582, 269, 4206, 338, 6665, 527, 263, 591, 23753, 3418, 825, 1219, 546, 12028, 6665, 527, 4311, 267, 1376, 341, 8029, 1038, 1376, 341, 269, 10233, 815, 476, 272, 1477, 1038, 1582, 28333, 6834, 476, 272, 1477, 1038, 1376, 341, 269, 30976, 339, 815, 1582, 28333, 1477, 1038, 585, 1985, 341, 538, 1376, 341, 10947, 6618, 687, 28399, 2018, 952, 1985, 341, 269, 10233, 2652, 476, 271, 6769, 3546, 1985, 341, 4877, 1042, 324, 19485, 815, 1376, 341, 1477, 3546, 1582, 269, 4206, 338, 6665, 527, 263, 10113, 341, 10142, 1038, 1376, 341, 269, 10233, 815, 476, 273, 1477, 1038, 1582, 28333, 6834, 476, 272, 1477, 1038, 1376, 341, 8807, 1400, 339, 815, 1582, 28333, 0, 5814, 26417, 692, 5976, 1930, 3488, 32220, 1410, 3263, 270, 655, 1943, 4315, 17902, 3299, 7154, 8782, 337, 3299, 17683, 8782, 583, 325, 268, 279, 10807, 607, 26417, 18316, 912, 825, 26417, 318, 1348, 518, 815, 26417, 6185, 1112, 5649, 518, 6262, 12364, 18316, 994, 825, 1899, 18045, 815, 476, 271, 692, 825, 585, 4737, 538, 26417, 318, 1348, 518, 912, 1038, 952, 1899, 18045, 2652, 476, 271, 912, 2018, 1820, 6600, 262, 8624, 4379, 4408, 616, 2715, 14824, 269, 21860, 21405, 14587, 5073, 2018, 1899, 18045, 23785, 272, 454, 1038, 1820, 6600, 262, 315, 339, 346, 992, 14277, 4067, 19312, 348, 1568, 607, 513, 2715, 992, 14277, 14337, 19312, 348, 543, 729, 4535, 538, 2715, 992, 14277, 19689, 1485, 3923, 19312, 348, 5073, 1038, 1899, 18045, 23785, 272, 7531, 0, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 1948, 476, 21302, 543, 21023, 9839, 8376, 454, 258, 22322, 258, 769, 713, 8400, 267, 649, 786, 946, 513, 8074, 1504, 4881, 5124, 476, 274, 269, 276, 609, 28833, 27910, 476, 273, 269, 272, 585, 1239, 2079, 1210, 28833, 3590, 7876, 267, 22126, 13192, 8629, 19554, 543, 21795, 4578, 293, 29707, 269, 1284, 786, 849, 946, 21267, 543, 26026, 1941, 585, 32331, 543, 3802, 998, 930, 1806, 540, 4578, 5811, 267, 19369, 267, 19032, 267, 4578, 16453, 1436, 543, 4856, 30447, 269, 3245, 519, 10724, 4804, 5133, 267, 649, 786, 979, 998, 519, 21180, 299, 1141, 649, 786, 5721, 543, 1449, 610, 1239, 267, 2196, 930, 1362, 13294, 547, 1294, 799, 835, 568, 519, 1655, 4781, 267, 4183, 543, 2203, 5137, 1210, 519, 1414, 18145, 1451, 585, 519, 8298, 2065, 22953, 29976, 543, 3803, 344, 1449, 938, 2203, 563, 258, 3097, 258, 1284, 786, 5659, 1930, 1239, 689, 9839, 8376, 772, 5746, 543, 547, 1349, 1256, 811, 4030, 267, 649, 786, 2263, 713, 10471, 267, 1628, 12125, 585, 14839, 540, 1808, 2127, 543, 1294, 875, 519, 1239, 2257, 666, 948, 17782, 2295, 2068, 780, 258, 1948, 12305, 23944, 28987, 454, 258, 3097, 258, 1677, 1376, 267, 649, 786, 1104, 17877, 267, 519, 4909, 5399, 585, 5044, 7384, 609, 5124, 267, 21795, 585, 938, 1239, 325, 29707, 267, 21267, 543, 26026, 1941, 585, 32331, 563, 258, 8528, 258, 769, 314, 272, 28660, 454, 258, 17387, 519, 2556, 8021, 2877, 585, 1239, 3408, 543, 14839, 563, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 26026, 1941, 607, 521, 985, 454, 5814, 21855, 454, 342, 7568, 902, 8807, 559, 614, 342, 7568, 902, 3488, 793, 648, 262, 9239, 258, 1948, 4197, 519, 13096, 553, 564, 454, 258, 3097, 258, 3097, 258, 4578, 5590, 6176, 912, 258, 3097, 258, 1284, 786, 946, 519, 1930, 1239, 689, 9839, 8376, 772, 5746, 10724, 4804, 3115, 12141, 269, 901, 10471, 3568, 476, 1691, 9587, 543, 476, 24062, 5638, 563, 258, 3097, 258, 5900, 1026, 2373, 6176, 912, 258, 3097, 258, 8587, 2085, 8587, 910, 2085, 538, 1296, 454, 258, 8587, 3023, 8587, 910, 630, 272, 815, 5256, 282, 476, 271, 815, 4775, 994, 258, 8587, 524, 335, 11434, 910, 9221, 1928, 1826, 454, 258, 8587, 1726, 560, 321, 1186, 910, 16889, 1973, 2604, 630, 514, 6515, 29666, 593, 16075, 547, 519, 6413, 994, 258, 8587, 26601, 672, 910, 16796, 26601, 652, 7394, 538, 8406, 7933, 331, 454, 258, 8587, 535, 2125, 8587, 910, 630, 325, 8463, 1973, 4006, 3436, 476, 6344, 8406, 7933, 331, 264, 630, 272, 815, 3020, 282, 476, 271, 815, 7301, 994, 258, 8587, 1964, 1815, 326, 476, 910, 16889, 6850, 15258, 328, 4919, 2164, 454, 258, 8587, 555, 26803, 476, 910, 5021, 2295, 2557, 6913, 454, 258, 8587, 608, 836, 825, 910, 3635, 13251, 2587, 2088, 630, 272, 815, 9811, 282, 476, 271, 815, 1100, 994, 258, 8587, 2025, 701, 752, 476, 910, 5254, 4965, 13251, 676, 3635, 3448, 547, 1964, 454, 258, 8587, 9386, 825, 910, 519, 9386, 540, 519, 8445, 3635, 5254, 10126, 454, 258, 8587, 1309, 11434, 910, 1297, 540, 2101, 8043, 630, 271, 268, 274, 264, 11954, 676, 1166, 537, 4592, 4878, 454, 258, 8587, 555, 531, 672, 910, 476, 274, 815, 3339, 282, 476, 277, 815, 6378, 8919, 282, 476, 278, 815, 10941, 762, 8919, 454, 258, 8587, 3077, 567, 910, 723, 2068, 610, 711, 630, 272, 284, 13433, 267, 476, 271, 284, 7224, 264, 630, 1492, 10567, 14487, 994, 258, 3097, 258, 3097, 258, 6168, 772, 5746, 10724, 4804, 3115, 12141, 454, 258, 3097, 258, 634, 772, 5746, 10724, 4804, 3115, 12141, 568, 513, 4015, 540, 12240, 267, 6389, 6436, 267, 543, 1239, 18402, 602, 616, 1031, 676, 519, 3684, 1565, 2146, 585, 519, 12170, 2079, 540, 3684, 1565, 6620, 563, 258, 3097, 258, 11905, 281, 4179, 2517, 1105, 633, 269, 923, 269, 18676, 12975, 270, 6447, 7933, 21648, 1115, 270, 29587, 266, 291, 1047, 848, 692, 258, 1948, 7383, 519, 1412, 24711, 27406, 262, 10471, 883, 519, 8074, 1504, 454, 258, 3097, 258, 6969, 15205, 519, 3758, 883, 707, 22126, 13192, 8629, 19554, 676, 1951, 21794, 543, 21177, 519, 3758, 593, 519, 1412, 1911, 272, 262, 8470, 267, 596, 991, 547, 1711, 513, 4276, 538, 707, 8074, 1504, 547, 707, 22126, 13192, 8629, 19554, 269, 1677, 798, 602, 267, 689, 707, 1788, 2985, 267, 4945, 593, 519, 1412, 11754, 547, 5741, 262, 543, 1287, 593, 1412, 3519, 3825, 3299, 3442, 707, 13192, 656, 2382, 766, 543, 1287, 4945, 593, 1412, 8620, 23823, 258, 3097, 258, 1656, 1287, 649, 786, 1921, 519, 8074, 1504, 547, 519, 22126, 13192, 8629, 19554, 676, 23453, 532, 707, 28946, 1113, 338, 543, 4452, 519, 834, 24711, 27406, 257, 10471, 676, 23453, 532, 21795, 4578, 20988, 865, 649, 666, 1376, 609, 938, 1239, 2079, 780, 258, 769, 314, 273, 28660, 19638, 258, 769, 314, 274, 28660, 454, 4206, 12774, 318, 272, 6745, 841, 30800, 258, 1948, 19461, 4578, 19369, 543, 16709, 454, 258, 8528, 258, 6744, 532, 519, 3337, 540, 519, 10471, 692, 258, 769, 314, 275, 28660, 454, 4206, 12774, 318, 272, 17482, 7531, 258, 2913, 781, 946, 519, 14674, 1599, 547, 1294, 519, 1293, 267, 1611, 267, 31901, 267, 1295, 267, 3193, 267, 476, 1839, 9077, 476, 2004, 9077, 476, 4037, 260, 2418, 692, 258, 769, 314, 276, 28660, 454, 4206, 12774, 318, 272, 6155, 525, 9216, 30800, 258, 6744, 532, 519, 3877, 540, 1142, 6241, 692, 258, 769, 314, 277, 28660, 454, 4206, 12774, 318, 272, 29335, 30800, 258, 18564, 602, 1142, 6241, 2012, 5956, 609, 513, 2539, 2013, 267, 1577, 781, 556, 4067, 782, 6241, 4408, 547, 2253, 609, 5580, 2013, 692, 258, 769, 314, 278, 28660, 454, 4206, 12774, 318, 272, 284, 4206, 12774, 318, 272, 269, 1066, 877, 263, 3712, 8435, 28121, 262, 720, 9166, 262, 21848, 12887, 16303, 9166, 262, 29189, 12887, 31983, 9166, 262, 290, 335, 12887, 339, 6135, 321, 1186, 9166, 262, 307, 6135, 321, 1186, 12887, 3273, 9166, 262, 2419, 565, 12887, 325, 2125, 9166, 262, 293, 2125, 12887, 6135, 1815, 326, 9166, 262, 27916, 1815, 326, 12887, 11209, 778, 9166, 262, 1320, 26803, 12887, 1410, 836, 9166, 262, 2750, 836, 12887, 1245, 701, 752, 9166, 262, 24874, 701, 752, 12887, 16435, 2100, 9166, 262, 20228, 2100, 12887, 8619, 9166, 262, 25519, 12887, 11209, 9166, 262, 1320, 531, 12887, 339, 13759, 9166, 262, 307, 13759, 262, 348, 9239, 258, 6744, 532, 519, 1007, 6241, 4408, 692, 258, 769, 314, 279, 28660, 454, 4206, 12774, 318, 272, 31815, 8435, 7531, 258, 3767, 1577, 781, 1413, 585, 1022, 14275, 1871, 692, 258, 769, 314, 280, 28660, 454, 4206, 12774, 318, 272, 18994, 3534, 14061, 8999, 30800, 258, 27010, 9587, 2982, 952, 519, 2594, 723, 2068, 610, 711, 630, 272, 284, 13433, 267, 476, 271, 284, 7224, 264, 689, 782, 10471, 912, 258, 3097, 258, 27010, 910, 723, 2068, 610, 711, 630, 272, 284, 13433, 267, 476, 271, 284, 7224, 264, 630, 1492, 10567, 14487, 2020, 258, 769, 314, 1015, 28660, 454, 4206, 12774, 318, 272, 11053, 13759, 27841, 18045, 338, 30800, 258, 15775, 519, 6871, 540, 519, 27010, 6241, 3877, 692, 258, 769, 314, 1556, 28660, 454, 291, 1047, 848, 318, 15575, 318, 13433, 815, 7003, 29254, 12774, 318, 272, 314, 4206, 12774, 318, 272, 11053, 13759, 2652, 476, 272, 7481, 291, 1047, 848, 318, 15575, 5332, 334, 815, 7003, 29254, 12774, 318, 272, 314, 4206, 12774, 318, 272, 11053, 13759, 2652, 476, 271, 7481, 2745, 2891, 346, 15545 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4439, 569, 945, 15055, 547, 533, 8784, 267, 561, 1157, 267, 543, 30392, 693, 666, 1149, 543, 3425, 2394, 1352, 4991, 1200, 1259, 269, 2659, 3932, 1058, 2626, 835, 2243, 281, 1411, 1223, 2328, 9433, 538, 707, 3207, 1631, 267, 1318, 286, 25037, 4828, 20895, 26243, 267, 972, 616, 1079, 2009, 2081, 547, 7291, 610, 10891, 513, 13354, 1603, 1957, 563, 24718, 543, 4334, 568, 513, 1455, 1106, 540, 4081, 1603, 267, 2901, 607, 606, 1557, 1826, 593, 922, 1378, 267, 610, 607, 851, 540, 513, 3677, 1557, 799, 2882, 835, 610, 811, 9433, 799, 5635, 610, 4334, 269, 1280, 1383, 267, 952, 519, 3355, 5635, 543, 4334, 5037, 6212, 593, 9236, 543, 17804, 1142, 3529, 267, 519, 2034, 1058, 1445, 593, 513, 1114, 1448, 2443, 899, 519, 2949, 1609, 12060, 540, 519, 1079, 267, 543, 519, 3791, 949, 581, 827, 3604, 538, 909, 18141, 563, 763, 3803, 1560, 5037, 12109, 1186, 909, 519, 2063, 2460, 4857, 538, 519, 5098, 269, 4985, 476, 272, 269, 1160, 3734, 18793, 3409, 602, 16377, 568, 12638, 267, 543, 568, 4061, 1996, 2696, 781, 786, 563, 763, 5098, 3948, 1058, 581, 14436, 540, 707, 4681, 269, 24951, 543, 17804, 21546, 543, 631, 14709, 267, 1250, 6679, 3515, 547, 6338, 519, 1888, 1522, 1224, 1945, 899, 713, 281, 898, 1522, 581, 1945, 899, 713, 281, 1717, 267, 25933, 543, 11523, 8428, 538, 1106, 267, 1543, 540, 6986, 25933, 543, 1505, 540, 7127, 883, 519, 1560, 269, 1280, 519, 1448, 8386, 15304, 2497, 267, 1142, 16726, 610, 3017, 585, 835, 1843, 568, 4553, 5612, 676, 519, 16726, 610, 3017, 585, 519, 824, 563, 13014, 513, 5098, 3948, 563, 29272, 5010, 1436, 269, 769, 713, 2511, 540, 1603, 267, 1101, 596, 1459, 782, 519, 7440, 4478, 835, 2427, 540, 519, 3390, 267, 1287, 596, 1459, 782, 519, 7440, 4478, 519, 824, 2427, 540, 519, 3390, 269, 10557, 5288, 4937, 772, 569, 1087, 525, 590, 269, 9697, 14789, 269, 901, 1522, 581, 513, 2601, 1004, 1265, 519, 1888, 4277, 610, 1271, 267, 610, 621, 1522, 581, 513, 3948, 827, 1945, 519, 1079, 5396, 723, 538, 1455, 563, 2791, 949, 946, 519, 966, 3317, 6516, 563, 763, 3604, 31083, 20760, 818, 531, 4262, 2013, 1353, 5758, 10486, 610, 267, 634, 10486, 31083, 20760, 519, 3604, 1733, 31295, 4287, 596, 979, 267, 519, 1557, 1603, 3898, 568, 519, 1482, 281, 1358, 1860, 519, 1560, 538, 2147, 2081, 269, 13928, 5010, 1436, 269, 25021, 4464, 4667, 7543, 267, 543, 1582, 1673, 12874, 339, 1212, 10134, 538, 269, 898, 2306, 1100, 2631, 585, 513, 4807, 547, 12638, 513, 1480, 1373, 711, 1256, 4535, 269, 6884, 519, 2898, 1557, 786, 5635, 543, 4334, 267, 1498, 3006, 519, 6476, 610, 4334, 949, 581, 1152, 851, 540, 519, 1557, 563, 32381, 540, 519, 3993, 781, 1272, 3510, 1082, 2021, 945, 705, 677, 616, 4057, 267, 1762, 267, 610, 3075, 3593, 560, 515, 1871, 540, 513, 1480, 1272, 3112, 581, 6027, 269, 11020, 10445, 519, 2009, 3584, 596, 666, 8044, 827, 3927, 269, 769, 1931, 547, 1832, 707, 1557, 13181, 543, 2502, 267, 596, 786, 991, 547, 2707, 585, 23610, 1344, 602, 711, 1152, 791, 19843, 519, 5467, 855, 849, 11414, 873, 1945, 789, 949, 711, 723, 2907, 1634, 563, 32451, 3500, 286, 5489, 841, 476, 273, 281, 1677, 3343, 856, 10486, 538, 1079, 610, 811, 5396, 269, 5015, 267, 741, 946, 949, 1267, 538, 8213, 269, 3689, 267, 4352, 11523, 543, 25933, 4358, 1055, 513, 2852, 16075, 1557, 6508, 689, 519, 9279, 320, 2030, 267, 789, 8428, 538, 1106, 269, 14424, 543, 25037, 13332, 8386, 5174, 6674, 14474, 2290, 540, 519, 1034, 8954, 633, 2152, 538, 3013, 568, 519, 15784, 4478, 16377, 563, 763, 1034, 2442, 1557, 12180, 1505, 568, 17527, 267, 607, 621, 6227, 519, 2898, 4605, 540, 1079, 5011, 269, 18461, 1863, 547, 818, 531, 4262, 2013, 1353, 5758, 621, 256, 14424, 543, 4334, 568, 1164, 593, 25204, 781, 12525, 16860, 540, 2565, 7744, 543, 568, 2404, 609, 513, 6988, 1377, 1141, 1053, 2736, 1524, 2093, 883, 12863, 2694, 538, 1931, 547, 1294, 875, 519, 2694, 9305, 563, 2690, 1383, 267, 26390, 1588, 267, 2618, 2670, 267, 1612, 8457, 807, 543, 10728, 2623, 949, 2049, 267, 543, 606, 30072, 540, 2901, 949, 2014, 13487, 12900, 610, 5996, 13955, 269, 898, 13788, 519, 1560, 676, 519, 9641, 883, 519, 18072, 563, 4913, 267, 713, 1826, 540, 1557, 814, 922, 1378, 2934, 281, 11512, 547, 707, 5467, 519, 4644, 540, 519, 1888, 269, 769, 519, 1985, 5037, 267, 1865, 519, 3604, 269, 9523, 713, 2022, 281, 634, 1560, 5037, 521, 1310, 519, 4367, 4766, 8984, 521, 540, 519, 1101, 1641, 563, 13828, 4054, 1683, 12094, 269, 634, 1079, 15852, 16752, 4478, 16377, 616, 899, 1079, 5011, 540, 513, 11777, 269, 5822, 23694, 281, 1635, 681, 800, 670, 269, 3557, 1945, 7164, 269, 1411, 666, 946, 519, 1286, 1022, 942, 596, 1616, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22920, 269, 3958, 267, 7836, 942, 538, 2470, 814, 1044, 8810, 547, 2569, 2566, 267, 2087, 2790, 1134, 5630, 267, 543, 3895, 2949, 2168, 1072, 563, 13981, 543, 31853, 4886, 454, 9199, 559, 15321, 960, 3091, 2189, 1565, 3255, 267, 3850, 2043, 547, 10536, 1007, 1983, 543, 1702, 538, 1585, 2127, 267, 971, 607, 13009, 11837, 267, 4264, 2244, 2359, 2853, 267, 543, 7320, 8446, 269, 1452, 3407, 1983, 666, 581, 11843, 547, 824, 5726, 3785, 610, 1256, 22002, 607, 513, 4876, 2619, 563, 8867, 3058, 513, 7831, 532, 22684, 454, 3528, 2502, 538, 13009, 15321, 960, 267, 2043, 723, 519, 4960, 547, 4734, 513, 9434, 1764, 593, 2104, 5481, 269, 19928, 5024, 547, 519, 5137, 543, 5826, 540, 18162, 5849, 602, 2104, 9205, 12439, 786, 581, 2111, 547, 2972, 543, 5660, 519, 2067, 13300, 2221, 779, 13538, 960, 865, 29367, 547, 8190, 563, 7437, 13009, 15321, 960, 267, 2043, 666, 1118, 513, 1713, 3017, 538, 2470, 5726, 267, 6536, 2146, 6278, 267, 543, 1995, 2123, 2208, 543, 1134, 5630, 269, 1635, 1821, 7627, 741, 942, 543, 1983, 547, 519, 11091, 540, 18162, 267, 13538, 1831, 519, 22449, 540, 8733, 11808, 543, 1404, 513, 4105, 1909, 538, 4180, 519, 18399, 543, 6940, 540, 9205, 5624, 585, 782, 563, 1103, 2221, 779, 3728, 19550, 1158, 267, 1082, 1004, 616, 5275, 2081, 547, 2285, 1394, 547, 741, 2950, 543, 1118, 513, 2318, 1764, 593, 519, 1604, 269, 2290, 971, 4316, 568, 13009, 15321, 960, 267, 799, 2636, 2043, 547, 3565, 741, 942, 543, 1983, 2509, 519, 11091, 543, 5826, 540, 2067, 18162, 269, 12056, 538, 13009, 15321, 960, 711, 1152, 2640, 519, 1604, 855, 849, 2488, 3875, 2123, 543, 3318, 5383, 563, 2691, 6236, 13009, 15321, 960, 267, 621, 568, 2629, 547, 1935, 519, 4305, 609, 513, 3318, 5639, 543, 3159, 269, 901, 1797, 4509, 513, 1164, 1377, 540, 3318, 1143, 2429, 519, 24749, 1995, 267, 689, 3355, 3346, 609, 519, 3919, 547, 519, 12032, 540, 8655, 4247, 563, 2080, 616, 930, 1883, 2798, 547, 2015, 950, 2502, 538, 13009, 15321, 960, 912, 268, 8758, 618, 547, 519, 2014, 281, 1306, 513, 13009, 15321, 267, 621, 568, 1898, 547, 6542, 513, 9758, 7029, 547, 519, 11091, 543, 5826, 540, 2067, 18162, 269, 901, 2882, 1620, 543, 18245, 519, 5692, 543, 3853, 540, 519, 3919, 596, 616, 2324, 609, 563, 268, 667, 2570, 1464, 281, 12333, 1143, 538, 13009, 15321, 960, 3340, 1373, 6325, 543, 14047, 783, 269, 898, 568, 2629, 547, 1397, 909, 593, 942, 585, 16516, 960, 17058, 543, 2347, 8655, 4247, 7561, 269, 901, 9727, 2463, 585, 1312, 519, 3919, 543, 8284, 13538, 563, 268, 9442, 1983, 281, 13229, 2792, 568, 4105, 538, 1022, 3318, 4259, 267, 1519, 13009, 15321, 960, 269, 21816, 32580, 1058, 8362, 6432, 547, 5528, 267, 2307, 2055, 950, 2556, 267, 543, 5968, 1022, 4145, 610, 10372, 538, 513, 16614, 6073, 269, 13068, 543, 13801, 2792, 11942, 513, 11327, 543, 18900, 2324, 1604, 563, 268, 1520, 11447, 547, 3106, 10873, 281, 20417, 960, 1419, 3322, 2168, 4074, 538, 5732, 13818, 5054, 269, 4475, 267, 621, 568, 1898, 547, 1246, 3106, 10873, 543, 4808, 3177, 676, 519, 3919, 269, 901, 2882, 1210, 3617, 8825, 10591, 267, 1739, 1697, 2553, 267, 543, 1373, 13533, 540, 1761, 4220, 547, 13951, 543, 1866, 563, 268, 21664, 543, 16542, 281, 20417, 15321, 960, 3335, 3322, 2324, 538, 513, 2319, 4259, 269, 23227, 908, 2500, 16542, 1983, 267, 971, 607, 9316, 267, 14207, 267, 543, 8112, 267, 568, 2629, 269, 1635, 2324, 32069, 609, 1866, 267, 13538, 666, 3035, 1455, 3853, 543, 3986, 519, 2949, 7145, 540, 741, 3646, 563, 268, 23120, 1565, 543, 6454, 281, 12333, 1143, 538, 13009, 15321, 960, 2882, 513, 7029, 547, 2123, 2208, 543, 1646, 269, 21816, 32580, 1058, 581, 1930, 547, 1565, 1007, 1983, 267, 2553, 267, 543, 1655, 2853, 1644, 547, 13009, 11091, 543, 5826, 269, 901, 14820, 711, 1152, 2640, 519, 1367, 15321, 855, 849, 8309, 547, 519, 1279, 3856, 1967, 540, 519, 3919, 563, 9199, 559, 15321, 960, 2488, 2043, 609, 606, 4316, 547, 1118, 513, 3017, 538, 741, 2950, 1247, 11543, 3407, 1995, 543, 1983, 269, 1635, 16042, 519, 4305, 609, 513, 3318, 5639, 543, 3159, 267, 13538, 666, 11694, 741, 1764, 543, 3565, 547, 519, 11091, 540, 2067, 18162, 585, 2104, 5481, 547, 2972, 563, 14188, 596, 585, 9683, 938, 5816, 543, 2921, 519, 942, 547, 1451, 811, 827, 13009, 15321, 960, 269, 1284, 4126, 602, 713, 2376, 814, 3177, 596, 609, 3407, 4030, 543, 1344, 827, 519, 2956, 540, 24749, 538, 4509, 543, 8497, 938, 18162, 563, 14157, 2863, 324, 1359, 593, 18162, 568, 711, 1152, 513, 16180, 1995, 855, 849, 8309, 3648, 547, 519, 2949, 1134, 5630, 540, 938, 2067, 1604, 269, 1635, 4142, 21899, 707, 942, 543, 4674, 547, 13009, 5826, 267, 596, 616, 8362, 10283, 538, 519, 5726, 540, 938, 10475, 8134, 543, 4180, 602, 2104, 5481, 666, 3136, 547, 2972, 519, 5898, 540, 891, 9205, 5624, 563, 2252, 596, 616, 6236, 3478, 3238, 538, 13009, 15321, 960, 267, 649, 5000, 596, 547, 1491, 602, 1101, 1900, 543, 1921, 609, 2199, 3906, 610, 2229, 8041, 3743, 585, 13009, 2359, 269, 1452, 9988, 1419, 7048, 8185, 593, 519, 1489, 540, 13538, 547, 4163, 856, 1898, 4247, 971, 607, 21757, 11935, 267, 28472, 11761, 267, 543, 16459, 1129, 720, 563, 13010, 267, 24749, 593, 18162, 2488, 606, 4316, 585, 2123, 2208, 543, 1646, 269, 898, 2636, 596, 547, 1921, 609, 2470, 267, 4497, 538, 2168, 2534, 267, 543, 1628, 3347, 609, 899, 16490, 2043, 945, 2671, 707, 6612, 585, 519, 13964, 269, 634, 2631, 540, 22920, 543, 9547, 602, 2501, 689, 4758, 1394, 547, 707, 2146, 543, 1818, 513, 2318, 1764, 593, 519, 1604, 568, 5963, 26080, 563, 1103, 3932, 267, 13009, 15321, 960, 4249, 513, 4105, 1909, 538, 519, 11091, 543, 5826, 540, 938, 18162, 269, 1635, 4742, 513, 13009, 15321, 267, 596, 616, 8362, 7700, 547, 519, 5726, 540, 938, 2067, 1604, 543, 4180, 519, 15325, 540, 891, 9205, 5624, 585, 2104, 5481, 269, 1284, 4126, 602, 713, 2376, 814, 6273, 596, 547, 2015, 3478, 3238, 538, 13009, 15321, 960, 543, 602, 596, 7832, 593, 513, 14785, 3460, 540, 4758, 1394, 547, 707, 2146, 543, 519, 4541, 269, 11289, 596, 585, 9683, 938, 5816, 267, 543, 649, 6999, 596, 519, 1655, 540, 9939, 538, 707, 13009, 15321, 18129, 2336, 10144, 849, 2307, 827, 20417, 21816, 17621, 4518, 912, 1432, 568, 13009, 15321, 960, 888, 3963, 1058, 594, 2015, 13009, 15321, 960, 888, 1432, 616, 519, 4170, 547, 1831, 513, 13009, 15321, 888, 1692, 666, 594, 1265, 13009, 15321, 3255, 888, 1432, 1058, 594, 2503, 1282, 13009, 15321, 960, 888, 9199, 559, 15321, 960, 4016, 547, 519, 957, 540, 2043, 4142, 21899, 741, 942, 543, 1648, 547, 2226, 267, 2087, 267, 610, 1628, 18162, 538, 1585, 5054, 267, 971, 607, 3084, 11614, 267, 7733, 267, 610, 16351, 2127, 269, 21816, 32580, 1404, 513, 2629, 1909, 538, 8497, 543, 7393, 519, 2298, 543, 10333, 540, 18162, 585, 554, 1731, 619, 267, 536, 1731, 619, 267, 543, 824, 9205, 12439, 563, 8777, 1645, 538, 13009, 15321, 960, 3091, 3875, 2640, 269, 17616, 267, 621, 2636, 596, 547, 2285, 1394, 547, 2470, 543, 519, 2146, 676, 7700, 547, 519, 11091, 540, 2067, 9249, 543, 5009, 4264, 9205, 2238, 269, 3958, 267, 13009, 15321, 960, 2488, 606, 4316, 547, 1921, 609, 899, 16490, 2043, 267, 1451, 1007, 1983, 267, 543, 2744, 3407, 1995, 538, 2825, 5726, 543, 2244, 2359, 563, 763, 1808, 4170, 547, 1831, 513, 13009, 15321, 949, 4268, 4470, 593, 519, 3919, 610, 1788, 596, 3442, 547, 6443, 269, 13575, 267, 596, 1058, 581, 9308, 3514, 543, 5827, 540, 7900, 8261, 4074, 267, 607, 13009, 960, 1419, 3322, 4247, 971, 607, 21757, 11935, 267, 14335, 13123, 267, 543, 4509, 1129, 720, 269, 2368, 3906, 949, 849, 2154, 13538, 547, 7390, 2866, 7886, 610, 4865, 1808, 24501, 1644, 547, 13009, 5826, 543, 3106, 563, 2467, 616, 1896, 2081, 547, 1265, 13009, 15321, 3255, 269, 1411, 666, 1376, 676, 8757, 856, 547, 2199, 5726, 3906, 267, 3084, 11614, 267, 610, 2229, 8041, 3743, 585, 5883, 18162, 538, 707, 1858, 269, 15750, 2572, 543, 2228, 5867, 6131, 547, 15321, 1143, 543, 2825, 7341, 849, 1683, 1592, 902, 540, 2139, 13009, 15321, 3785, 269, 3958, 267, 11504, 2146, 2621, 267, 11925, 267, 610, 29468, 5059, 593, 9205, 2238, 543, 5726, 666, 948, 596, 3060, 543, 3605, 1761, 24749, 3255, 563, 9199, 559, 15321, 960, 666, 4125, 513, 3099, 540, 4247, 4470, 593, 519, 1808, 1788, 543, 4087, 269, 2368, 1455, 2238, 1331, 13009, 5826, 267, 11761, 1852, 267, 12362, 2249, 8851, 267, 543, 13009, 4070, 269, 1411, 666, 2503, 547, 960, 13964, 538, 1114, 4365, 2175, 267, 12840, 609, 824, 13538, 543, 4648, 267, 543, 1246, 3106, 4808, 3177, 676, 519, 3919, 610, 1788, 6205, 269, 898, 568, 1271, 547, 581, 5423, 585, 2168, 11851, 542, 543, 547, 3142, 3617, 7802, 267, 31321, 267, 543, 3937, 563, 8855, 267, 1142, 3919, 610, 1788, 949, 723, 922, 1378, 1305, 540, 4808, 543, 6788, 267, 865, 621, 779, 19624, 547, 3346, 873, 2047, 585, 811, 2143, 1344, 3823, 13009, 15321, 960, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 11643, 676, 3212, 321, 1076, 17290, 26844, 2059, 609, 922, 11162, 4826, 2920, 630, 290, 23354, 264, 3296, 476, 29024, 546, 1042, 3022, 610, 6445, 1570, 11166, 11863, 3498, 538, 476, 1001, 278, 630, 663, 15428, 538, 476, 1001, 280, 1070, 6069, 547, 4020, 513, 9553, 602, 1131, 7500, 585, 476, 736, 1296, 267, 1310, 799, 1279, 3856, 1216, 2359, 543, 5464, 1131, 581, 2556, 585, 5553, 269, 16740, 269, 693, 11536, 268, 276, 563, 24375, 940, 538, 476, 1001, 271, 267, 14522, 7111, 2950, 538, 30290, 7345, 282, 7449, 14571, 267, 5010, 267, 543, 16351, 10068, 2516, 282, 5726, 2516, 543, 18758, 3906, 282, 543, 1866, 16761, 16501, 547, 946, 922, 6392, 896, 3296, 476, 29024, 6262, 264, 540, 519, 595, 23354, 547, 2149, 519, 3148, 779, 21996, 689, 5599, 6937, 269, 6423, 476, 3451, 772, 2529, 5861, 269, 19926, 476, 16328, 275, 6262, 1040, 595, 23354, 3296, 476, 29024, 6262, 264, 2278, 3278, 16501, 547, 630, 272, 264, 10238, 527, 610, 11198, 519, 20487, 540, 1022, 3989, 1858, 607, 513, 12871, 3135, 543, 630, 273, 264, 20912, 267, 6615, 267, 610, 11198, 519, 946, 540, 1022, 3989, 1858, 585, 20487, 607, 513, 12871, 3135, 269, 16740, 269, 16501, 666, 1118, 713, 3296, 476, 29024, 6262, 264, 8990, 952, 621, 9060, 267, 1739, 5469, 543, 4316, 585, 1857, 5873, 902, 267, 602, 11166, 540, 546, 1042, 3022, 610, 6445, 2326, 883, 519, 1858, 1131, 723, 30849, 8801, 2360, 593, 1216, 2200, 267, 32729, 15135, 543, 13278, 344, 2127, 267, 7320, 267, 610, 16351, 2127, 269, 16740, 269, 11374, 1296, 540, 15539, 543, 2079, 267, 16501, 9783, 513, 15937, 10318, 1588, 896, 3296, 476, 29024, 6262, 264, 540, 519, 595, 23354, 1310, 4466, 1978, 17579, 525, 540, 546, 1042, 3022, 610, 6445, 1570, 2404, 609, 9553, 1646, 540, 519, 3212, 321, 1076, 16005, 1131, 796, 23100, 2406, 28148, 1860, 1978, 606, 611, 668, 748, 13278, 344, 2127, 538, 519, 30290, 7345, 24659, 269, 16501, 267, 15937, 10318, 1588, 267, 24101, 571, 267, 693, 476, 276, 268, 272, 269, 634, 15937, 10318, 1588, 10238, 1080, 519, 12871, 540, 546, 1042, 3022, 610, 6445, 1570, 538, 1978, 7297, 540, 519, 2136, 2276, 9648, 538, 519, 30290, 7345, 2212, 31662, 585, 519, 3212, 321, 1076, 17719, 6069, 1788, 610, 2104, 18747, 602, 1131, 1267, 538, 519, 1482, 610, 3152, 2157, 540, 2530, 610, 1689, 538, 12748, 2200, 269, 16740, 269, 693, 476, 276, 268, 1321, 269, 16501, 814, 1152, 1031, 713, 6392, 896, 595, 23354, 3296, 476, 29024, 6262, 264, 476, 1691, 2053, 538, 519, 1686, 540, 519, 2920, 563, 15703, 10689, 12201, 540, 8733, 1876, 616, 7152, 998, 891, 1614, 5726, 3527, 269, 3689, 267, 519, 3527, 9414, 2470, 19721, 3375, 6194, 269, 6736, 519, 2804, 543, 6848, 2640, 689, 3850, 2244, 946, 1646, 1369, 519, 1614, 8134, 267, 519, 5313, 2229, 5462, 602, 8497, 519, 2067, 1949, 865, 789, 949, 3136, 547, 1599, 543, 8853, 814, 17271, 1871, 269, 5822, 267, 8497, 8733, 8699, 568, 2808, 3857, 958, 1271, 269, 21023, 539, 267, 543, 1256, 519, 1981, 540, 267, 2825, 2360, 689, 6069, 5599, 543, 824, 1646, 547, 891, 8134, 543, 519, 2200, 789, 1683, 941, 16363, 30849, 267, 585, 1459, 543, 2104, 5481, 269, 1656, 3791, 267, 519, 3664, 616, 851, 540, 513, 2898, 1606, 2448, 1935, 547, 5117, 11091, 267, 5812, 609, 519, 1699, 7245, 779, 3013, 519, 27202, 11036, 547, 18359, 476, 1789, 260, 540, 519, 4182, 779, 2244, 543, 7297, 676, 476, 10711, 271, 563, 21953, 267, 8116, 3527, 971, 607, 1346, 5941, 538, 713, 2376, 616, 7361, 3908, 676, 519, 2825, 1876, 2497, 267, 543, 3976, 8572, 547, 3035, 519, 7165, 775, 8733, 1876, 14719, 919, 269, 19154, 300, 779, 2244, 15639, 1369, 519, 32493, 2817, 11206, 568, 1641, 547, 25430, 1310, 476, 736, 1296, 267, 3803, 3652, 1596, 592, 326, 730, 676, 2475, 12396, 1095, 21564, 2359, 20816, 585, 3084, 7733, 949, 581, 4735, 4705, 610, 15428, 676, 519, 8116, 538, 519, 2104, 267, 543, 16501, 779, 1654, 1729, 896, 519, 595, 23354, 10039, 1152, 547, 519, 3212, 321, 1076, 17719, 1788, 543, 2147, 18747, 267, 1510, 3413, 1800, 3152, 20038, 547, 519, 30290, 7345, 24659, 269, 1677, 8275, 519, 3853, 540, 8733, 1876, 267, 811, 2484, 23568, 543, 1279, 18835, 1689, 786, 581, 2877, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7760, 4847, 585, 2527, 2504, 540, 14420, 267, 3056, 547, 2799, 8244, 543, 26622, 563, 265, 1715, 6283, 2409, 1500, 621, 2009, 585, 14420, 547, 581, 7856, 18487, 563, 265, 14066, 1786, 4546, 625, 7153, 267, 2531, 3215, 519, 2344, 543, 11319, 4130, 12696, 856, 540, 1870, 780, 291, 269, 7073, 16527, 692, 265, 14958, 14420, 3350, 19674, 538, 3210, 547, 22713, 267, 10771, 8137, 267, 3099, 267, 543, 2199, 5820, 563, 265, 5843, 3691, 4546, 625, 21707, 267, 3850, 585, 17634, 543, 5647, 538, 14420, 6163, 563, 265, 19663, 1719, 538, 11477, 6575, 5012, 547, 1445, 593, 14420, 30010, 609, 1426, 780, 2862, 269, 13870, 540, 2142, 518, 454, 288, 269, 9978, 23123, 692, 265, 4826, 281, 2629, 5057, 282, 5540, 8137, 267, 2681, 267, 543, 5023, 10623, 601, 540, 14420, 563, 265, 717, 1778, 281, 2488, 4006, 2556, 585, 18829, 282, 3335, 4731, 1540, 24061, 855, 666, 1331, 824, 9274, 899, 10568, 610, 30383, 563, 265, 670, 3591, 281, 8591, 15280, 1145, 267, 24710, 267, 543, 6411, 607, 513, 2067, 29089, 894, 282, 1114, 5577, 8677, 3565, 2189, 10366, 630, 31842, 6350, 267, 27536, 267, 3618, 344, 1916, 265, 14717, 770, 281, 3743, 585, 14291, 14836, 883, 4568, 543, 3327, 8166, 1282, 18829, 282, 1826, 540, 13803, 11887, 2436, 14420, 568, 513, 548, 610, 561, 4526, 780, 289, 269, 30179, 532, 6713, 692, 265, 5689, 1154, 281, 10286, 568, 865, 8898, 267, 10351, 3990, 267, 1287, 12015, 547, 6460, 588, 2117, 1127, 883, 7542, 618, 762, 14836, 563, 265, 631, 3739, 281, 4731, 1206, 616, 2666, 547, 16616, 6418, 20566, 11491, 2737, 563, 265, 631, 4770, 281, 1984, 539, 9274, 616, 6404, 609, 3905, 1216, 547, 5305, 14836, 563, 265, 700, 2246, 1359, 281, 5277, 630, 342, 677, 264, 568, 9674, 689, 17571, 630, 4944, 550, 9274, 5148, 838, 1173, 532, 3322, 32092, 532, 6170, 9274, 609, 3606, 3905, 1216, 547, 1349, 6967, 14836, 563, 265, 4425, 4979, 281, 530, 677, 568, 23017, 609, 554, 3591, 547, 10322, 559, 1125, 267, 13404, 14836, 267, 543, 1039, 15280, 532, 7135, 563, 265, 15346, 532, 281, 530, 677, 1590, 581, 22799, 3533, 547, 2061, 12526, 543, 2253, 18829, 1184, 563, 265, 12113, 7695, 281, 13803, 27499, 14836, 543, 7472, 4568, 543, 3327, 8166, 282, 3119, 18829, 16569, 5111, 835, 3018, 1247, 6281, 18829, 3217, 1747, 936, 1896, 4374, 563, 265, 16448, 532, 281, 10172, 1974, 2636, 10366, 547, 9921, 543, 12172, 563, 265, 13268, 1645, 281, 14420, 568, 22012, 267, 13594, 28962, 952, 2556, 267, 543, 26437, 883, 1183, 7714, 267, 14569, 267, 610, 23691, 780, 7656, 269, 26505, 540, 2142, 518, 454, 288, 269, 22176, 5288, 700, 6162, 692, 265, 589, 956, 281, 1283, 1922, 518, 13586, 9493, 6814, 602, 7500, 693, 15911, 5210, 630, 2568, 268, 4037, 13790, 1070, 4611, 538, 4829, 1512, 1965, 1562, 543, 25970, 4307, 11169, 269, 6201, 1331, 12779, 620, 525, 267, 7379, 2026, 267, 588, 8083, 267, 543, 11188, 1562, 563, 265, 700, 6162, 281, 5377, 1922, 518, 13586, 9493, 6814, 602, 1599, 693, 21617, 5210, 630, 3393, 268, 4649, 13790, 1070, 2870, 15777, 267, 5743, 704, 12632, 269, 9537, 1331, 533, 2812, 2996, 267, 536, 4169, 267, 543, 667, 677, 24792, 619, 780, 289, 269, 16952, 595, 20975, 692, 265, 5453, 520, 581, 619, 281, 8415, 1804, 17114, 540, 10568, 28915, 267, 5356, 1769, 4703, 543, 24253, 7907, 269, 4436, 646, 10623, 933, 714, 839, 4183, 19337, 543, 804, 913, 4967, 1813, 547, 1808, 13803, 12490, 563, 265, 590, 712, 581, 619, 281, 17543, 15755, 998, 4367, 540, 4551, 610, 3552, 13803, 282, 32068, 11877, 620, 525, 1331, 23758, 923, 267, 575, 826, 340, 8240, 267, 543, 674, 1633, 619, 556, 1091, 269, 1977, 521, 2293, 1419, 6451, 5613, 585, 3773, 6988, 563, 265, 16200, 620, 525, 281, 2362, 4568, 1543, 543, 7347, 10366, 21656, 891, 581, 619, 267, 799, 949, 581, 22902, 27070, 585, 8476, 17381, 269, 4446, 2917, 342, 1149, 267, 11440, 588, 8083, 267, 543, 22712, 14442, 1564, 2887, 896, 713, 7121, 780, 4353, 269, 2142, 518, 543, 5253, 30449, 532, 14362, 454, 288, 269, 26969, 14556, 885, 692, 265, 18696, 2178, 10366, 609, 8449, 12050, 13413, 282, 10347, 8286, 2154, 11029, 581, 619, 543, 13030, 17930, 780, 289, 269, 7388, 29232, 10366, 692, 265, 10576, 3838, 4162, 1063, 14420, 543, 8670, 2609, 267, 7393, 2949, 1995, 630, 324, 3052, 1421, 20521, 344, 14420, 609, 20521, 19997, 6393, 290, 269, 25037, 532, 10366, 692, 265, 22982, 15852, 16919, 547, 1711, 10103, 282, 6653, 3536, 4324, 689, 15280, 581, 619, 1247, 9761, 6980, 5660, 23639, 780, 291, 269, 13636, 6292, 902, 692, 265, 10812, 2757, 10659, 1759, 593, 10923, 8129, 630, 23389, 30725, 1137, 609, 21411, 1729, 828, 325, 652, 3057, 7999, 6393, 292, 269, 9608, 7375, 692, 265, 11086, 267, 1367, 6492, 1058, 3391, 3803, 3664, 282, 5000, 1930, 16490, 1145, 543, 18515, 547, 2119, 1007, 6292, 902, 780, 309, 269, 7351, 12367, 543, 8892, 19648, 454, 288, 269, 16842, 3747, 585, 12725, 21433, 5820, 543, 4264, 2853, 1369, 519, 14420, 2872, 563, 289, 269, 15331, 566, 609, 1875, 13652, 6463, 5820, 543, 2553, 267, 9750, 8847, 540, 5929, 6163, 563, 290, 269, 20523, 8561, 593, 13784, 543, 10333, 267, 8840, 1524, 7496, 2404, 609, 4739, 14420, 2528, 563, 291, 269, 8033, 4240, 2208, 543, 6284, 540, 14420, 781, 1761, 7258, 5386, 9174, 543, 14326, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 16032, 2142, 518, 7734, 454, 2080, 596, 786, 1205, 7454, 2142, 518, 7734, 1280, 596, 20136, 568, 606, 909, 3562, 15082, 1592, 540, 5227, 2835, 563, 272, 269, 11335, 10791, 13648, 1504, 585, 30488, 476, 1708, 272, 281, 476, 1911, 271, 266, 16797, 1299, 14168, 631, 1926, 8862, 831, 532, 31204, 1677, 1628, 2635, 6208, 1923, 7827, 707, 14856, 27999, 609, 476, 1321, 4374, 540, 5100, 2725, 531, 1544, 2336, 12041, 281, 676, 8861, 2961, 335, 3626, 454, 20524, 519, 1158, 779, 1264, 11687, 3434, 1504, 593, 11335, 10791, 609, 476, 1911, 271, 266, 22013, 5534, 10346, 1299, 513, 12829, 476, 1321, 1284, 4060, 2725, 531, 4643, 25898, 596, 899, 547, 6707, 1246, 606, 13245, 6197, 855, 798, 596, 1869, 1616, 2972, 8949, 1426, 286, 3657, 596, 3168, 547, 6749, 1346, 4430, 6550, 543, 1205, 538, 3337, 1510, 24057, 9722, 827, 7594, 4058, 888, 2710, 596, 1745, 13110, 540, 782, 891, 9688, 532, 2597, 2000, 1601, 11326, 602, 3274, 1810, 1406, 960, 1279, 2165, 286, 1403, 596, 12943, 968, 13433, 892, 547, 713, 2055, 267, 982, 1832, 2542, 2507, 594, 914, 596, 6159, 557, 585, 2241, 267, 1100, 1922, 1380, 2597, 2530, 1184, 543, 513, 1279, 3856, 7004, 602, 2731, 1568, 2336, 6546, 779, 1946, 594, 4956, 547, 1711, 519, 1034, 13159, 11335, 10791, 13648, 1504, 476, 1708, 272, 5976, 476, 1911, 271, 266, 631, 1926, 8862, 520, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 30094, 1137, 1315, 15850, 545, 1315, 2142, 518, 1315, 2142, 518, 30449, 532, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 12426, 623, 4637, 910, 589, 670, 13273, 585, 2997, 1014, 5020, 692, 763, 22471, 559, 5898, 540, 513, 3484, 11432, 267, 695, 20810, 532, 896, 519, 3141, 267, 1517, 625, 519, 6946, 5117, 621, 3771, 26092, 269, 901, 1560, 540, 1216, 267, 1419, 31314, 9624, 18932, 3039, 4610, 543, 3046, 985, 267, 5713, 607, 513, 25113, 585, 1585, 12748, 2249, 267, 1519, 26414, 267, 2520, 3150, 267, 543, 824, 6177, 2249, 269, 1452, 905, 9312, 7068, 616, 711, 8806, 28677, 19799, 906, 282, 789, 1404, 2629, 5107, 538, 4509, 519, 8733, 3666, 543, 1683, 3407, 4245, 538, 7350, 267, 5726, 267, 543, 2068, 6771, 269, 2290, 971, 2068, 602, 814, 5063, 6591, 3007, 1851, 6705, 543, 3173, 568, 4400, 569, 11202, 8328, 2997, 1014, 14118, 27833, 630, 295, 5183, 296, 1070, 799, 13514, 1713, 6937, 547, 1312, 5010, 543, 18147, 16738, 4238, 269, 2913, 721, 7832, 2390, 606, 19253, 894, 3460, 883, 713, 4241, 1158, 540, 1412, 293, 1301, 623, 1180, 14886, 262, 1247, 5329, 538, 2247, 519, 2565, 991, 585, 28858, 1996, 1990, 3019, 5328, 3676, 899, 670, 5183, 296, 780, 4089, 476, 272, 269, 272, 281, 634, 2353, 675, 540, 12426, 623, 4637, 692, 288, 3484, 11432, 568, 811, 982, 1175, 513, 13111, 540, 1216, 282, 621, 781, 513, 6422, 2890, 6523, 332, 31523, 609, 1272, 269, 4706, 13719, 7297, 2709, 3501, 9960, 12406, 585, 27738, 267, 7786, 267, 3165, 267, 543, 1585, 6177, 2249, 269, 1280, 1762, 3988, 3226, 267, 891, 2067, 688, 26223, 1459, 9159, 3255, 547, 7747, 2470, 909, 2673, 269, 18964, 1453, 781, 7279, 2509, 891, 7068, 11942, 6568, 267, 2825, 19642, 267, 543, 3621, 3206, 780, 4089, 476, 272, 269, 273, 281, 20821, 3776, 3171, 9312, 27199, 26092, 1107, 667, 15085, 1299, 2983, 3150, 692, 16449, 519, 1034, 17736, 545, 6681, 11317, 540, 3484, 22253, 616, 26414, 543, 2520, 3150, 269, 2755, 4687, 1978, 4162, 267, 1142, 1895, 19646, 2189, 14624, 7700, 547, 741, 6668, 269, 26277, 13160, 267, 519, 6211, 1920, 21214, 26414, 267, 2520, 3150, 267, 543, 2220, 753, 267, 15225, 7415, 4763, 538, 3915, 3337, 267, 1850, 3259, 267, 543, 20034, 720, 3270, 267, 10452, 9867, 11326, 543, 6208, 269, 1635, 11287, 891, 3604, 267, 1053, 1451, 4909, 3741, 540, 8760, 267, 9542, 267, 543, 4720, 780, 291, 15085, 3335, 4865, 10156, 7953, 543, 6626, 12014, 2966, 585, 2627, 8023, 267, 1818, 873, 26227, 4129, 5827, 540, 3695, 24760, 10664, 585, 1426, 2959, 269, 17957, 267, 2520, 3150, 4183, 3476, 683, 4242, 543, 7953, 9862, 585, 530, 8172, 2620, 7297, 538, 3406, 540, 12748, 2371, 543, 30114, 639, 802, 269, 3509, 21868, 2249, 8858, 7524, 4778, 1282, 519, 9960, 4005, 267, 4946, 12716, 9029, 547, 1022, 5251, 269, 30027, 3585, 267, 2520, 3150, 4159, 1395, 29614, 1738, 20034, 1137, 6825, 676, 11495, 3109, 543, 3043, 3270, 780, 4089, 476, 272, 269, 274, 281, 15332, 2107, 333, 4442, 10025, 1107, 26954, 32018, 540, 4826, 325, 25717, 692, 19741, 741, 3308, 19259, 267, 1216, 325, 25717, 3565, 3648, 547, 26868, 5117, 1072, 998, 8770, 15203, 267, 6079, 29371, 267, 543, 11641, 1852, 269, 4256, 608, 920, 618, 2488, 1898, 9436, 11378, 267, 5009, 2030, 2208, 543, 7607, 269, 3958, 267, 5452, 28041, 543, 2663, 608, 920, 1540, 676, 26414, 5351, 538, 2030, 18640, 2066, 1114, 6753, 269, 5015, 267, 26414, 948, 10038, 5521, 5095, 267, 9117, 607, 2067, 11975, 12145, 1761, 6694, 10860, 780, 4913, 267, 2059, 609, 891, 2640, 2097, 9021, 269, 18972, 1590, 2327, 8766, 19717, 547, 891, 4105, 7103, 267, 3850, 873, 547, 1685, 741, 8733, 3252, 3768, 626, 32328, 269, 3683, 2763, 531, 748, 18883, 2238, 610, 7226, 9552, 1223, 7519, 1216, 325, 25717, 2950, 267, 3056, 547, 22107, 8172, 2360, 2429, 519, 3003, 5117, 780, 4089, 476, 272, 269, 275, 281, 21784, 338, 10753, 4040, 14066, 1107, 2997, 1014, 14118, 27833, 5164, 4926, 692, 28770, 3101, 11763, 3676, 10460, 8101, 4220, 547, 7320, 267, 13184, 267, 543, 1480, 5095, 5001, 269, 7324, 891, 6937, 267, 2997, 1014, 14118, 27833, 5164, 4926, 630, 288, 4353, 338, 264, 723, 21959, 1229, 9645, 3007, 1813, 547, 741, 6855, 1761, 269, 4400, 569, 11202, 8328, 2997, 1014, 14118, 27833, 630, 295, 5183, 296, 264, 8833, 670, 276, 301, 272, 267, 1101, 9571, 538, 5607, 538, 476, 1960, 277, 267, 1232, 13846, 16738, 13632, 543, 3361, 26742, 19631, 1480, 28896, 269, 2859, 5063, 267, 1776, 8833, 267, 670, 278, 301, 280, 267, 7153, 538, 3624, 267, 4929, 4049, 7929, 4576, 538, 3425, 6534, 547, 7783, 5017, 610, 13572, 5054, 780, 4322, 13685, 20838, 519, 13766, 540, 22608, 1979, 846, 2579, 3800, 2556, 547, 16102, 1312, 3662, 543, 1857, 1072, 269, 20353, 24022, 1216, 18346, 4196, 607, 3119, 14747, 585, 1082, 3642, 26394, 267, 14123, 2518, 23425, 3842, 32740, 17766, 610, 1463, 3346, 1063, 2043, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 1100, 2582, 3815, 3361, 519, 7771, 540, 519, 3703, 7276, 282, 3079, 267, 621, 8507, 689, 23091, 2152, 8151, 689, 2804, 23434, 547, 2797, 771, 20880, 543, 7810, 4187, 269, 2859, 11932, 267, 2705, 267, 789, 6444, 519, 1871, 540, 17519, 5718, 267, 8994, 1620, 267, 543, 3743, 19642, 1107, 3741, 10858, 3564, 23786, 8658, 855, 7184, 4143, 547, 4948, 2729, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 3963, 1705, 519, 3703, 7276, 5555, 7771, 543, 6336, 922, 4567, 607, 513, 1158, 1379, 888, 763, 7771, 543, 2530, 540, 1158, 1379, 4567, 540, 519, 3703, 7276, 666, 581, 11911, 547, 1896, 2188, 1384, 272, 269, 9483, 2591, 281, 634, 5822, 2622, 2782, 2451, 6628, 8185, 967, 20623, 1540, 267, 543, 519, 2197, 729, 8572, 547, 2226, 922, 840, 21351, 2804, 17282, 269, 1703, 941, 1896, 2804, 2591, 267, 1519, 519, 7771, 540, 519, 5663, 5823, 267, 519, 4473, 540, 1007, 2804, 7060, 899, 519, 2136, 2276, 543, 3567, 267, 543, 519, 1764, 540, 519, 3282, 6433, 540, 519, 476, 3192, 271, 338, 780, 273, 269, 22547, 540, 18541, 281, 634, 3703, 7276, 729, 3710, 593, 519, 2856, 540, 3703, 29686, 936, 824, 6082, 267, 799, 3366, 547, 513, 7903, 585, 7115, 543, 519, 4473, 540, 18541, 538, 1082, 540, 922, 10125, 269, 769, 519, 1296, 1739, 2622, 2782, 4083, 267, 1082, 540, 891, 2477, 6591, 7115, 543, 13264, 2476, 689, 3703, 1852, 780, 274, 269, 13639, 8833, 281, 24367, 513, 2518, 10504, 2838, 513, 1713, 4108, 4527, 267, 799, 2269, 1441, 6628, 781, 2200, 543, 3366, 547, 1542, 320, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1705, 711, 723, 2614, 4747, 547, 2844, 2933, 543, 267, 607, 513, 1267, 267, 519, 24675, 8756, 539, 547, 1312, 3237, 269, 634, 5256, 2385, 8876, 519, 5207, 2597, 1185, 519, 3885, 7680, 7965, 538, 741, 2729, 543, 519, 1114, 2081, 789, 1131, 6023, 519, 2042, 789, 1131, 581, 7680, 538, 891, 3885, 267, 2523, 538, 15970, 269, 4340, 547, 5359, 689, 1715, 3840, 267, 22888, 941, 17528, 1369, 519, 1101, 8938, 2395, 540, 519, 27579, 267, 609, 476, 4029, 260, 540, 17013, 19696, 13044, 268, 866, 607, 519, 3119, 2707, 540, 741, 2152, 269, 769, 1840, 267, 519, 1297, 540, 1004, 5275, 16028, 568, 1767, 547, 723, 23060, 607, 513, 1267, 540, 476, 1001, 280, 269, 4746, 267, 519, 1004, 602, 941, 5275, 16028, 616, 1767, 547, 723, 24111, 547, 476, 4097, 260, 18995, 519, 7965, 799, 519, 1004, 941, 7680, 543, 519, 7965, 799, 789, 1131, 723, 547, 4308, 282, 1369, 476, 1724, 25592, 573, 269, 476, 1691, 25592, 573, 269, 476, 279, 519, 1920, 1876, 607, 519, 32682, 806, 1590, 1331, 519, 1453, 781, 2729, 607, 1134, 607, 824, 1919, 3823, 741, 26692, 269, 1428, 634, 5626, 21500, 540, 13044, 268, 866, 723, 1044, 519, 3119, 2014, 540, 519, 16028, 269, 634, 5480, 2665, 941, 3810, 4299, 676, 519, 6855, 269, 1306, 513, 1267, 267, 519, 1004, 1185, 7965, 7231, 609, 741, 2042, 607, 1082, 540, 519, 5480, 18659, 1185, 1044, 11074, 282, 3976, 267, 3237, 2877, 547, 6023, 741, 2042, 538, 519, 1034, 3617, 1259, 3544, 519, 5480, 18659, 269, 4475, 267, 519, 3478, 540, 16028, 729, 1164, 267, 543, 607, 513, 1267, 267, 519, 1004, 5185, 2042, 609, 519, 27192, 7231, 609, 741, 2665, 269, 634, 1974, 729, 6353, 676, 2362, 3928, 540, 17799, 8754, 519, 1966, 609, 7114, 799, 1920, 1876, 519, 1004, 538, 519, 29281, 9769, 1185, 547, 705, 728, 676, 267, 2523, 538, 2665, 1141, 1453, 941, 3238, 269, 634, 12176, 729, 1360, 6213, 267, 543, 607, 513, 1267, 267, 519, 1453, 1185, 547, 581, 2322, 538, 26692, 609, 519, 2385, 602, 1223, 2327, 519, 3106, 540, 519, 1453, 269, 1626, 901, 3390, 1223, 711, 581, 9619, 6707, 538, 519, 1453, 781, 1655, 4690, 1317, 789, 1705, 711, 9787, 519, 2042, 789, 941, 6849, 269, 5221, 1082, 7972, 13747, 519, 6855, 1851, 1453, 543, 519, 11361, 267, 2043, 1185, 547, 11883, 609, 1082, 2152, 547, 10018, 602, 1453, 781, 2729, 941, 9580, 12023, 269, 4475, 267, 519, 3237, 1185, 606, 17185, 547, 16102, 891, 1004, 781, 2729, 543, 2327, 789, 941, 6870, 607, 741, 2104, 729, 547, 581, 5462, 676, 519, 4598, 789, 1131, 1205, 689, 519, 6855, 543, 875, 741, 2564, 1072, 11865, 1131, 581, 17411, 269, 634, 6855, 729, 6353, 676, 519, 1004, 781, 2729, 4742, 2352, 267, 1519, 519, 1453, 781, 1153, 1272, 6353, 676, 5691, 1565, 269, 14044, 1565, 1185, 519, 3237, 4163, 476, 1428, 2549, 31843, 645, 1002, 807, 267, 6682, 8759, 674, 13741, 686, 267, 594, 17427, 595, 1716, 320, 6874, 1755, 742, 267, 31130, 25306, 267, 18466, 548, 700, 758, 582, 267, 31828, 342, 836, 2782, 6319, 267, 590, 4379, 9874, 570, 592, 611, 9618, 1696, 620, 269, 834, 309, 2723, 775, 1996, 1453, 1282, 519, 5046, 268, 866, 6855, 1701, 28743, 540, 519, 2622, 2657, 9257, 476, 4200, 267, 1100, 269, 476, 1015, 630, 1708, 272, 2567, 476, 278, 1789, 269, 476, 1626, 645, 1002, 807, 1696, 620, 1421, 28743, 540, 519, 2622, 2657, 9257, 476, 4200, 267, 1100, 269, 476, 1015, 630, 1708, 272, 1070, 476, 278, 1789, 269, 476, 280, 1082, 21500, 602, 1223, 711, 5512, 873, 547, 11883, 609, 519, 2352, 1272, 799, 789, 941, 7680, 269, 1704, 769, 1840, 267, 972, 941, 2564, 14074, 602, 2877, 547, 581, 13950, 547, 891, 1453, 543, 519, 8417, 602, 519, 2564, 2152, 17820, 269, 1240, 634, 3237, 1185, 547, 581, 3238, 538, 1114, 2081, 543, 519, 1920, 4031, 543, 26692, 4031, 602, 1131, 3391, 891, 1004, 269, 5221, 930, 540, 519, 1453, 941, 9674, 689, 741, 3237, 267, 519, 3664, 1185, 547, 581, 6766, 676, 1585, 4632, 267, 609, 3237, 2348, 519, 6392, 547, 1118, 3664, 827, 741, 1453, 781, 2729, 269, 12186, 540, 13044, 268, 866, 593, 7731, 30271, 634, 13044, 268, 866, 568, 4857, 547, 723, 7679, 1229, 609, 519, 5126, 1062, 543, 519, 1259, 5126, 729, 2016, 547, 519, 1004, 609, 519, 1514, 26865, 543, 9376, 23957, 543, 824, 2188, 7133, 519, 1184, 998, 799, 891, 1004, 1131, 581, 2016, 741, 2924, 1022, 1920, 7411, 789, 1223, 581, 7680, 269, 634, 13044, 268, 866, 568, 5156, 547, 723, 1185, 513, 1713, 1764, 593, 4892, 262, 1272, 267, 609, 10470, 1373, 7142, 547, 13021, 741, 9885, 547, 1022, 6595, 2665, 602, 21256, 1282, 519, 15435, 269, 2368, 1004, 4810, 1082, 7965, 538, 741, 22888, 1282, 519, 13044, 268, 866, 6855, 267, 543, 607, 513, 1267, 267, 789, 1131, 1459, 741, 6595, 2665, 538, 10470, 269, 866, 634, 1920, 10470, 538, 519, 2136, 2276, 616, 13886, 547, 2327, 519, 3106, 540, 519, 1453, 543, 602, 540, 519, 2898, 1920, 269, 1717, 267, 519, 5480, 1185, 547, 18178, 713, 851, 540, 741, 5107, 11865, 547, 4734, 519, 1004, 547, 4308, 609, 519, 2042, 789, 941, 6849, 538, 741, 3885, 269, 1452, 1004, 2348, 547, 16028, 1510, 476, 1704, 25562, 681, 269, 8381, 10290, 267, 12253, 548, 631, 9567, 807, 267, 26391, 623, 269, 19811, 267, 15537, 595, 269, 16874, 2401, 267, 16962, 631, 269, 13643, 267, 2672, 13568, 595, 269, 4414, 11276, 267, 6307, 25679, 1633, 1696, 620, 269, 834, 763, 28007, 12233, 593, 31331, 13756, 685, 954, 574, 16252, 585, 2422, 540, 533, 325, 6500, 5174, 1470, 18199, 3663, 5046, 268, 866, 6669, 538, 1453, 9907, 476, 276, 1700, 1556, 1296, 1765, 18197, 2276, 267, 5437, 476, 1708, 272, 1701, 5651, 321, 7190, 543, 18200, 1275, 28315, 7797, 476, 3583, 267, 1100, 269, 476, 3393, 630, 1708, 272, 2567, 476, 14991, 280, 269, 476, 1240, 25592, 573, 269, 476, 866, 25592, 573, 269, 476, 1015, 519, 5480, 4543, 538, 7231, 609, 741, 18659, 729, 835, 540, 519, 1034, 4101, 1919, 607, 972, 616, 1920, 4031, 602, 1590, 3391, 891, 1004, 269, 736, 9453, 519, 7245, 540, 519, 4031, 676, 519, 5480, 18607, 267, 519, 1004, 1223, 711, 6023, 741, 3871, 1732, 269, 634, 1966, 729, 4857, 607, 3140, 267, 609, 519, 6105, 2348, 1114, 3664, 3823, 519, 11865, 540, 2564, 1416, 543, 519, 26692, 540, 519, 1453, 538, 2665, 1141, 519, 1004, 1185, 547, 5094, 1510, 1022, 5480, 6304, 269, 7040, 6304, 568, 519, 1152, 1259, 519, 1920, 781, 2924, 1131, 723, 1044, 13950, 1134, 2094, 6028, 891, 2924, 547, 835, 1268, 1131, 15936, 609, 519, 2729, 540, 519, 1453, 269, 769, 1840, 267, 2348, 835, 2385, 1118, 929, 644, 550, 3664, 827, 519, 2564, 8502, 540, 519, 1453, 267, 2523, 519, 13044, 268, 866, 6669, 267, 729, 513, 1713, 21677, 602, 891, 1004, 1131, 1265, 2182, 547, 4308, 609, 269, 2641, 634, 10470, 7550, 519, 946, 540, 5691, 2081, 538, 7829, 519, 1004, 781, 2042, 267, 855, 713, 729, 711, 606, 3617, 1259, 3379, 547, 2168, 23079, 2094, 2168, 23079, 1131, 2285, 519, 1004, 8458, 540, 2348, 547, 2491, 2933, 543, 7231, 609, 1022, 1966, 602, 1131, 7693, 538, 1310, 602, 519, 5106, 540, 16028, 543, 9668, 269, 2420, 4475, 267, 972, 941, 22195, 538, 28720, 5126, 607, 519, 1004, 1131, 711, 1205, 519, 5126, 789, 964, 5703, 609, 519, 5691, 3664, 1373, 8628, 538, 519, 3237, 262, 2729, 543, 1346, 540, 519, 1453, 269, 4475, 267, 1082, 2042, 21256, 538, 891, 1004, 781, 2729, 267, 1519, 519, 22195, 602, 1131, 581, 14754, 3823, 519, 28720, 540, 10074, 547, 891, 1453, 269, 13044, 268, 866, 543, 17261, 1588, 540, 5753, 476, 736, 8381, 10290, 1696, 620, 1421, 5651, 321, 7190, 543, 18200, 1275, 28315, 7797, 267, 476, 14991, 280, 476, 2641, 25592, 573, 269, 476, 2420, 26701, 710, 631, 269, 681, 10212, 1512, 334, 267, 3627, 654, 784, 267, 8865, 344, 674, 787, 518, 590, 1048, 5674, 267, 589, 997, 807, 2997, 7637, 267, 1656, 6319, 4119, 518, 267, 8496, 5202, 5839, 31647, 334, 267, 543, 4793, 878, 807, 1234, 573, 344, 269, 834, 29261, 685, 15752, 547, 3945, 3729, 741, 1453, 1996, 5046, 268, 866, 1701, 4750, 540, 17925, 2657, 5516, 476, 3374, 267, 1100, 269, 476, 276, 630, 1708, 272, 2567, 476, 2004, 280, 268, 276, 1704, 269, 476, 1556, 634, 12674, 540, 1453, 729, 513, 3978, 3390, 602, 519, 3237, 540, 519, 1453, 1185, 547, 11883, 609, 267, 543, 1896, 7440, 10838, 891, 2043, 10483, 621, 269, 634, 12674, 5185, 1082, 22195, 689, 519, 4079, 538, 799, 519, 4079, 941, 1996, 519, 12674, 269, 1306, 513, 1267, 267, 519, 7245, 540, 519, 10074, 547, 519, 1453, 1131, 581, 835, 540, 519, 2565, 1919, 602, 1131, 8141, 1082, 22195, 1063, 891, 3237, 609, 873, 2348, 16028, 2665, 543, 1373, 24776, 32682, 806, 269, 634, 1268, 538, 26692, 540, 519, 1453, 1185, 547, 3068, 1082, 2042, 607, 789, 723, 547, 5077, 609, 519, 824, 2385, 538, 1818, 3664, 2094, 519, 1920, 1876, 7569, 782, 1004, 547, 581, 3238, 538, 1818, 1022, 2565, 3375, 827, 519, 1072, 2175, 540, 519, 1453, 269, 2537, 634, 25750, 941, 4857, 607, 3106, 10074, 267, 543, 607, 513, 1267, 267, 789, 17275, 1082, 22195, 1063, 891, 3237, 607, 519, 7245, 540, 519, 10074, 729, 513, 3364, 602, 1131, 1860, 519, 2729, 540, 519, 1453, 267, 609, 873, 1373, 6353, 676, 1114, 2427, 2360, 269, 4475, 267, 538, 2665, 1141, 519, 1453, 1131, 581, 4299, 676, 519, 6669, 267, 621, 1131, 581, 1713, 952, 519, 1875, 322, 755, 617, 658, 2385, 729, 711, 3238, 538, 14045, 585, 519, 1126, 547, 581, 18764, 269, 4475, 267, 519, 3656, 4745, 26692, 4341, 1185, 547, 581, 4294, 547, 2327, 1312, 3237, 941, 3238, 538, 7829, 519, 1004, 781, 2042, 269, 4340, 547, 519, 13044, 268, 866, 10074, 5359, 267, 1453, 1657, 476, 1321, 1296, 941, 14718, 585, 1373, 18764, 267, 855, 621, 13684, 865, 1454, 4250, 538, 519, 3237, 607, 972, 941, 3909, 4162, 602, 1223, 711, 1450, 519, 1004, 547, 15936, 609, 269, 4475, 267, 972, 729, 519, 991, 585, 891, 3237, 547, 4125, 1142, 824, 538, 4180, 519, 1655, 3375, 729, 1500, 3823, 519, 1453, 781, 25750, 607, 621, 729, 513, 1713, 1966, 602, 2877, 547, 581, 17411, 538, 513, 1259, 602, 267, 538, 476, 2537, 681, 10212, 1512, 334, 1696, 620, 1421, 4750, 540, 17925, 2657, 5516, 476, 3374, 267, 1100, 269, 476, 276, 630, 1708, 272, 1070, 476, 2004, 280, 269, 476, 1321, 2013, 540, 4376, 267, 1312, 3237, 1131, 581, 4371, 18177, 585, 519, 4745, 3375, 789, 1500, 269, 2190, 769, 1840, 267, 519, 3237, 1934, 1185, 547, 28111, 609, 873, 267, 3858, 532, 711, 547, 4125, 741, 1453, 538, 519, 12674, 3635, 543, 2348, 519, 3506, 991, 873, 547, 1205, 18764, 269, 4475, 267, 519, 1966, 729, 513, 1713, 15784, 543, 609, 519, 3237, 7680, 513, 14524, 531, 2078, 1533, 269, 4475, 267, 519, 3375, 2509, 519, 25750, 729, 4857, 607, 513, 1713, 7411, 602, 2877, 6209, 2081, 540, 7829, 547, 2327, 1312, 3237, 941, 3238, 543, 6209, 3664, 941, 5921, 689, 519, 11650, 891, 1004, 1131, 2932, 269, 1839, 13531, 532, 593, 971, 513, 2339, 729, 2352, 267, 609, 1256, 3237, 538, 12560, 10820, 17528, 547, 723, 993, 27809, 6876, 593, 875, 789, 1131, 979, 827, 519, 1533, 540, 1072, 602, 519, 1158, 729, 6849, 269, 4014, 519, 5480, 781, 1949, 941, 2673, 267, 519, 7245, 540, 519, 1920, 1876, 729, 519, 1152, 1259, 891, 1004, 1131, 581, 5280, 562, 14045, 1018, 1131, 9290, 873, 1312, 4470, 593, 519, 1699, 3510, 799, 519, 1004, 1223, 581, 7680, 538, 741, 3885, 269, 634, 10470, 1934, 1131, 2015, 1082, 2188, 547, 2327, 789, 3914, 519, 1439, 3804, 540, 7674, 1312, 3237, 269, 2368, 540, 519, 2188, 602, 891, 10470, 1131, 2015, 616, 1946, 519, 3237, 1223, 581, 1996, 267, 610, 835, 1131, 581, 3858, 532, 609, 2348, 741, 4128, 269, 2918, 4475, 267, 519, 4128, 789, 1131, 2285, 1131, 581, 1031, 538, 2348, 519, 5480, 6430, 593, 519, 2619, 799, 519, 1079, 8369, 1131, 581, 8756, 539, 543, 4947, 909, 609, 519, 1439, 3804, 3375, 602, 1131, 723, 1312, 540, 873, 1373, 6039, 547, 741, 2698, 4390, 269, 634, 1079, 3237, 1223, 476, 2190, 21877, 670, 3558, 902, 267, 543, 631, 32713 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 910, 966, 322, 692, 1038, 966, 335, 815, 966, 322, 7531, 3698, 13506, 5091, 27853, 5332, 6856, 990, 318, 659, 5120, 730, 6357, 2255, 21653, 284, 276, 17107, 825, 18325, 815, 476, 271, 269, 280, 692, 825, 2518, 654, 454, 825, 2518, 966, 335, 692, 825, 585, 1900, 538, 2039, 263, 25074, 17107, 1038, 4994, 815, 1496, 12690, 27110, 263, 271, 267, 631, 268, 272, 264, 585, 1775, 538, 2039, 6357, 2255, 21653, 22708, 1038, 1535, 815, 2473, 27709, 267, 2433, 2639, 1038, 586, 815, 962, 18020, 4994, 2639, 1038, 1535, 17482, 815, 630, 321, 2255, 21653, 267, 715, 994, 1038, 586, 17482, 815, 630, 272, 267, 16801, 21653, 2020, 1038, 966, 322, 815, 18325, 2608, 966, 335, 1341, 513, 2608, 546, 332, 3287, 267, 586, 267, 654, 910, 18325, 2608, 966, 335, 2020, 1038, 654, 815, 654, 910, 966, 322, 692, 1038, 966, 335, 815, 966, 322, 7531, 258, 24438, 2838, 585, 13506, 16350, 6620, 799, 1331, 740, 698, 2784, 267, 681, 5960, 335, 1886, 543, 740, 320, 18773, 563, 306, 815, 476, 271, 7531, 258, 1520, 698, 2784, 6388, 563, 3698, 13506, 5091, 27853, 318, 611, 698, 2784, 6357, 2255, 21653, 284, 276, 17107, 825, 552, 27432, 815, 476, 271, 269, 1822, 1822, 4905, 692, 825, 2518, 654, 454, 825, 2518, 590, 692, 825, 585, 1900, 538, 2039, 263, 25074, 17107, 1038, 4994, 815, 1496, 12690, 27110, 263, 271, 267, 631, 268, 272, 264, 585, 1775, 538, 2039, 6357, 2255, 21653, 22708, 1038, 1535, 815, 2473, 27709, 267, 2433, 2639, 1038, 586, 815, 962, 18020, 4994, 2639, 1038, 1535, 17482, 815, 630, 321, 2255, 21653, 267, 715, 994, 1038, 586, 17482, 815, 630, 272, 267, 16801, 21653, 2020, 1038, 546, 815, 546, 332, 3287, 267, 586, 267, 654, 994, 1038, 590, 6834, 546, 2608, 546, 454, 1038, 654, 815, 654, 910, 513, 1315, 5286, 28460, 22829, 1341, 552, 27432, 264, 2608, 546, 7531, 258, 1520, 320, 18773, 24250, 5960, 303, 1886, 6388, 563, 3698, 13506, 5091, 27853, 318, 611, 611, 12265, 6357, 2255, 21653, 284, 276, 17107, 825, 552, 27432, 815, 476, 271, 269, 1822, 1822, 4905, 454, 825, 18325, 815, 476, 271, 269, 280, 692, 825, 2518, 654, 454, 825, 2518, 590, 692, 825, 585, 1900, 538, 2039, 263, 25074, 17107, 1038, 4994, 815, 1496, 12690, 27110, 263, 271, 267, 631, 268, 272, 264, 585, 1775, 538, 2039, 6357, 2255, 21653, 22708, 1038, 1535, 815, 2473, 27709, 267, 2433, 2639, 1038, 586, 815, 962, 18020, 4994, 2639, 1038, 1535, 17482, 815, 630, 321, 2255, 21653, 267, 715, 994, 1038, 586, 17482, 815, 630, 272, 267, 16801, 21653, 2020, 1038, 546, 815, 546, 332, 3287, 267, 586, 267, 654, 994, 1038, 590, 815, 18325, 2608, 590, 1341, 630, 272, 910, 18325, 264, 2608, 546, 2608, 546, 454, 1038, 654, 815, 654, 910, 513, 1315, 5286, 28460, 22829, 1341, 552, 27432, 264, 2608, 546, 692, 1948, 24438, 2838, 585, 13506, 16350, 6620, 799, 1331, 740, 698, 2784, 267, 681, 5960, 335, 1886, 543, 740, 320, 18773, 563, 309, 815, 476, 271, 454, 306, 815, 476, 271, 454, 309, 322, 815, 476, 271, 454, 9928, 815, 476, 271, 692, 258, 1520, 320, 18773, 24250, 5960, 303, 1886, 6388, 563, 692, 3698, 13506, 5091, 27853, 318, 611, 600, 6357, 2255, 21653, 284, 276, 17107, 825, 552, 27432, 815, 476, 271, 269, 1822, 1822, 4905, 454, 825, 536, 272, 815, 476, 271, 269, 280, 454, 825, 536, 273, 815, 476, 271, 269, 15886, 692, 825, 2518, 654, 454, 825, 2518, 966, 267, 966, 322, 454, 825, 2518, 590, 267, 2480, 692, 825, 585, 1900, 538, 2039, 263, 25074, 17107, 1038, 4994, 815, 1496, 12690, 27110, 263, 271, 267, 631, 268, 272, 264, 585, 1775, 538, 2039, 6357, 2255, 21653, 22708, 1038, 1535, 815, 2473, 27709, 267, 2433, 2639, 1038, 586, 815, 962, 18020, 4994, 2639, 1038, 1535, 17482, 815, 630, 321, 2255, 21653, 267, 715, 994, 1038, 586, 17482, 815, 630, 272, 267, 16801, 21653, 2020, 1038, 546, 815, 546, 332, 3287, 267, 586, 267, 654, 2020, 1038, 966, 815, 536, 272, 2608, 966, 1341, 630, 272, 910, 536, 272, 264, 2608, 546, 454, 1038, 590, 815, 536, 273, 2608, 590, 1341, 630, 272, 910, 536, 273, 264, 2608, 546, 2608, 546, 692, 1038, 966, 322, 815, 966, 1315, 630, 272, 910, 630, 321, 272, 4917, 1038, 2480, 815, 590, 1315, 630, 272, 910, 630, 321, 273, 11723, 1038, 654, 815, 654, 910, 513, 1315, 630, 12639, 28460, 263, 9928, 264, 1341, 552, 27432, 264, 2608, 966, 322, 7531, 258, 1773, 1824, 519, 3803, 3977, 543, 2982, 519, 3113, 563, 3698, 3803, 7120, 10031, 825, 23288, 825, 1773, 1824, 519, 3803, 2175, 780, 825, 634, 3803, 3977, 1899, 538, 519, 1106, 540, 454, 825, 513, 4544, 1899, 563, 825, 23288, 825, 12301, 19502, 11583, 18020, 476, 271, 3910, 11852, 11583, 267, 654, 1070, 1412, 321, 5073, 825, 12301, 20481, 30800, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 1948, 16294, 6724, 1644, 547, 13506, 16350, 454, 825, 3268, 815, 476, 1220, 271, 454, 825, 513, 815, 476, 271, 269, 4905, 692, 825, 1224, 11907, 3488, 323, 21648, 564, 272, 17902, 17210, 825, 5352, 318, 30135, 10797, 825, 2332, 7120, 10797, 825, 13506, 5091, 27853, 318, 611, 600, 10797, 825, 1820, 3901, 3488, 310, 3299, 654, 2020, 825, 3803, 7120, 4590, 0, 258, 292, 18285, 1714, 524, 6759, 323, 15282, 16948, 682, 518, 796, 562, 14243, 1067, 334, 1303, 3266, 552, 791, 31870, 1714, 3331, 374, 2741, 24982, 546, 6403, 326, 17010, 563, 3698, 1427, 334, 274, 10031, 825, 1003, 3266, 815, 3403, 2891, 28808, 25564, 1714, 1003, 3266, 281, 19515, 825, 1820, 2891, 14976, 3706, 24982, 7857, 334, 1642, 1003, 3266, 1965, 281, 14307, 1003, 3266, 15631, 272, 20285, 516, 1729, 274, 3890, 0, 12163, 26594, 3113, 6388, 454, 12163, 5228, 3351, 1104, 29571, 267, 6581, 826, 476, 1948, 1452, 949, 2097, 538, 13561, 692, 5035, 8641, 1384, 825, 5727, 11847, 6974, 513, 3113, 607, 513, 8675, 540, 14622, 11837, 10297, 547, 8728, 27969, 454, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 3200, 1182, 815, 2715, 10926, 825, 1219, 1039, 318, 591, 23753, 4311, 267, 14584, 16182, 2187, 1038, 8173, 1038, 5410, 513, 14584, 547, 519, 3113, 563, 1038, 8173, 1038, 1948, 5932, 513, 14584, 609, 606, 8900, 1592, 607, 741, 15231, 14622, 454, 1038, 1582, 269, 3200, 1182, 314, 591, 23753, 16182, 316, 815, 1305, 10797, 825, 1219, 1039, 318, 8354, 4311, 267, 642, 272, 267, 642, 273, 2187, 1038, 8173, 1038, 5410, 513, 9859, 6316, 547, 519, 3113, 563, 1038, 8173, 1038, 1948, 1039, 519, 476, 273, 526, 6843, 547, 519, 1592, 540, 8728, 585, 519, 1101, 6843, 454, 1038, 952, 642, 272, 538, 1582, 269, 3200, 1182, 543, 642, 273, 538, 1582, 269, 3200, 1182, 1384, 2018, 1582, 269, 3200, 1182, 314, 341, 272, 4940, 5417, 17635, 273, 2020, 825, 1219, 1205, 318, 31371, 26092, 4311, 267, 14584, 16182, 2187, 1038, 8173, 1038, 5192, 782, 12543, 630, 539, 2471, 264, 540, 513, 14584, 563, 1038, 8173, 1038, 1948, 570, 7495, 302, 454, 1038, 2132, 1582, 269, 3200, 1182, 314, 591, 23753, 16182, 6540, 825, 1219, 536, 1111, 4311, 267, 4358, 318, 591, 23753, 2187, 1038, 8173, 1038, 7179, 1142, 14584, 538, 4560, 23867, 1931, 454, 1038, 4098, 689, 4358, 318, 591, 23753, 563, 1038, 8173, 1038, 1948, 1711, 606, 8900, 20313, 826, 826, 826, 826, 826, 826, 826, 826, 1362, 454, 1038, 547, 318, 6665, 527, 815, 6581, 826, 4590, 1038, 1948, 1711, 606, 8900, 1305, 454, 1038, 10272, 815, 1305, 4590, 1038, 1948, 1402, 6819, 519, 20313, 826, 826, 826, 826, 826, 609, 938, 4358, 14584, 454, 1038, 547, 318, 6665, 527, 269, 523, 28255, 263, 11034, 532, 318, 591, 23753, 2020, 1038, 1948, 1247, 8520, 547, 2196, 1247, 519, 20313, 826, 826, 826, 826, 568, 711, 8900, 454, 1038, 1247, 547, 318, 6665, 527, 25915, 3890, 3436, 476, 271, 912, 2018, 642, 815, 547, 318, 6665, 527, 19709, 28255, 4590, 2018, 1948, 10992, 547, 1294, 952, 519, 632, 28255, 826, 4240, 14584, 568, 538, 938, 1305, 610, 711, 454, 2018, 952, 642, 711, 538, 10272, 912, 3546, 1948, 952, 621, 568, 1287, 621, 4991, 9102, 856, 454, 3546, 1820, 17635, 994, 3546, 1948, 621, 1287, 4991, 3773, 547, 519, 10272, 1305, 454, 3546, 10272, 14491, 17635, 994, 3546, 1948, 1631, 649, 616, 10992, 519, 12543, 540, 519, 14584, 543, 4946, 873, 454, 3546, 1948, 547, 519, 20313, 826, 826, 826, 826, 826, 454, 3546, 585, 562, 538, 1582, 269, 3200, 1182, 314, 341, 14158, 7386, 547, 318, 6665, 527, 269, 523, 28255, 3799, 2020, 1363, 692, 825, 1219, 546, 1111, 4311, 267, 4358, 318, 591, 23753, 2187, 1038, 8173, 1038, 7179, 1142, 14584, 538, 3178, 23867, 1931, 454, 1038, 4098, 689, 4358, 318, 591, 23753, 563, 1038, 8173, 1038, 1948, 570, 7495, 302, 454, 1038, 1948, 1711, 606, 8900, 10518, 1362, 543, 1305, 454, 1038, 547, 318, 6665, 527, 815, 29571, 4590, 1038, 10272, 815, 1305, 4590, 1038, 1948, 1039, 519, 4358, 14584, 547, 519, 10518, 454, 1038, 547, 318, 6665, 527, 4877, 2313, 263, 11034, 532, 318, 591, 23753, 994, 1038, 1948, 1247, 8520, 547, 2196, 1247, 649, 1869, 723, 2609, 538, 938, 10518, 454, 1038, 1247, 547, 318, 6665, 527, 25915, 3890, 3436, 476, 271, 912, 2018, 1948, 1402, 338, 519, 2063, 1871, 538, 938, 10518, 454, 2018, 642, 815, 547, 318, 6665, 527, 21014, 4590, 2018, 1948, 11974, 547, 1294, 952, 519, 1871, 814, 2907, 1044, 2938, 454, 2018, 952, 642, 711, 538, 10272, 912, 3546, 1948, 952, 711, 1287, 621, 4991, 9102, 856, 454, 3546, 1820, 17635, 994, 3546, 1948, 1287, 3773, 547, 519, 10272, 1305, 454, 3546, 10272, 14491, 17635, 994, 3546, 1948, 4946, 519, 12543, 547, 519, 10518, 1362, 3097, 3546, 585, 562, 538, 1582, 269, 3200, 1182, 314, 341, 14158, 7386, 547, 318, 6665, 527, 4877, 2313, 3799, 2020, 825, 1219, 546, 1111, 23631, 15479, 633, 4311, 267, 4358, 318, 591, 23753, 2187, 1038, 8173, 1038, 7179, 1142, 14584, 538, 3178, 23867, 1931, 454, 1038, 4098, 689, 4358, 318, 591, 23753, 780, 1038, 901, 1058, 581, 2944, 1210, 16571, 542, 563, 1038, 8173, 1038, 1948, 570, 7495, 302, 454, 1038, 1948, 2870, 513, 1599, 3330, 602, 2882, 513, 1592, 454, 1038, 1948, 540, 5892, 21986, 539, 14622, 454, 1038, 1219, 25276, 14116, 1429, 267, 21986, 539, 267, 14584, 2187, 2018, 1948, 952, 519, 14584, 568, 538, 21986, 539, 2907, 267, 2132, 9039, 454, 2018, 952, 14584, 538, 21986, 539, 912, 3546, 2132, 3097, 2018, 1948, 6382, 649, 1820, 621, 856, 454, 2018, 1820, 263, 591, 23753, 994, 2018, 1948, 16289, 519, 14584, 547, 938, 21986, 539, 1592, 454, 2018, 21986, 539, 14491, 263, 591, 23753, 994, 2018, 1948, 4881, 519, 1599, 593, 519, 12543, 540, 519, 14584, 454, 2018, 585, 1130, 538, 3113, 314, 591, 23753, 14158, 3546, 25276, 14116, 1429, 267, 21986, 539, 267, 1130, 2020, 1038, 25276, 4311, 269, 3200, 1182, 267, 1305, 19572, 4358, 318, 591, 23753, 2020, 825, 1219, 536, 12028, 4311, 267, 4358, 318, 591, 23753, 267, 10278, 318, 591, 23753, 2187, 1038, 8173, 1038, 17776, 513, 1592, 5627, 519, 20125, 2619, 689, 454, 1038, 4358, 318, 591, 23753, 547, 10278, 318, 591, 23753, 538, 454, 1038, 7362, 23867, 1931, 563, 1038, 8173, 1038, 1948, 2870, 606, 8900, 1592, 540, 10272, 14622, 454, 1038, 10272, 815, 11713, 1038, 1948, 2870, 513, 20313, 609, 519, 4358, 14584, 538, 621, 454, 1038, 20313, 815, 20886, 11034, 532, 318, 591, 23753, 27663, 1038, 1948, 1247, 649, 723, 3688, 538, 938, 20313, 826, 826, 454, 1038, 1247, 20313, 912, 2018, 1948, 1402, 519, 1101, 6221, 538, 519, 20313, 826, 826, 454, 2018, 2619, 815, 20313, 21014, 263, 271, 994, 2018, 1948, 3478, 519, 2063, 1871, 538, 938, 2619, 454, 2018, 6843, 815, 2619, 15631, 272, 2639, 2018, 1948, 10992, 547, 1294, 952, 621, 814, 1044, 2938, 2907, 610, 711, 454, 2018, 952, 6843, 711, 538, 10272, 912, 3546, 1948, 10992, 519, 12543, 540, 938, 17439, 4554, 6843, 454, 3546, 585, 562, 538, 1582, 269, 3200, 1182, 19559, 1712, 14158, 7386, 1948, 2870, 513, 1007, 2619, 1592, 543, 813, 2056, 519, 562, 773, 724, 26092, 454, 7386, 1948, 547, 621, 543, 519, 20313, 826, 826, 826, 454, 7386, 1007, 24786, 815, 1592, 9638, 987, 994, 7386, 1007, 24786, 6910, 3799, 994, 7386, 20313, 6910, 28956, 24786, 994, 7386, 1948, 952, 519, 10278 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22309, 585, 5807, 1932, 2673, 513, 2078, 609, 519, 2136, 2276, 267, 799, 267, 1010, 13915, 5156, 267, 1131, 946, 519, 4308, 547, 15407, 1379, 538, 519, 4095, 2229, 563, 3528, 476, 1220, 279, 3356, 593, 519, 4308, 19430, 2818, 540, 519, 2229, 779, 12057, 776, 5354, 1765, 10919, 626, 6105, 538, 1880, 23121, 3954, 8784, 19453, 779, 2229, 543, 6038, 7903, 585, 513, 6015, 8917, 538, 12057, 538, 3735, 5147, 476, 1220, 279, 563, 306, 532, 327, 779, 2229, 7522, 569, 15068, 519, 8917, 267, 855, 519, 1184, 729, 2261, 1042, 676, 31482, 1765, 517, 1312, 5011, 1765, 1993, 13313, 543, 519, 11449, 540, 16018, 563, 10048, 332, 2129, 534, 19453, 267, 476, 1220, 278, 563, 1103, 519, 25931, 12836, 540, 2904, 476, 1220, 280, 267, 6837, 2799, 922, 1297, 540, 16295, 538, 519, 23328, 267, 543, 19453, 3576, 5604, 607, 6305, 14012, 585, 513, 2034, 942, 563, 288, 23646, 540, 3127, 779, 2804, 2208, 543, 2417, 31482, 540, 13313, 1996, 6837, 9549, 8387, 554, 2086, 1229, 10350, 1282, 19453, 779, 2034, 2165, 267, 2705, 267, 543, 3366, 547, 513, 21324, 540, 519, 5428, 779, 8560, 609, 519, 13359, 2551, 563, 1103, 2038, 476, 1001, 275, 19453, 9307, 602, 646, 1131, 711, 3343, 513, 3791, 2165, 607, 6305, 14012, 538, 519, 12836, 547, 519, 700, 758, 17939, 3873, 602, 5614, 563, 3891, 2451, 5604, 593, 2904, 476, 2918, 267, 519, 1482, 1554, 602, 715, 732, 526, 571, 3525, 328, 540, 519, 645, 297, 303, 729, 2220, 1941, 538, 607, 6305, 14012, 563, 29820, 538, 717, 1695, 267, 4639, 23570, 267, 538, 1018, 568, 2221, 9031, 267, 19453, 781, 1920, 28953, 547, 3127, 1282, 922, 15652, 538, 476, 3707, 278, 269, 2991, 13844, 1010, 4387, 622, 538, 9297, 689, 10228, 267, 19453, 5249, 585, 519, 2136, 8315, 1282, 476, 3422, 277, 1700, 3422, 280, 269, 1261, 13604, 3459, 1010, 17531, 29386, 4876, 950, 700, 531, 527, 23902, 18885, 631, 880, 571, 21534, 1864, 607, 606, 25129, 538, 519, 12080, 540, 25642, 543, 12752, 269, 4438, 519, 476, 3192, 271, 338, 543, 476, 2735, 271, 338, 267, 19453, 4371, 1896, 1883, 9708, 538, 519, 6554, 540, 3127, 267, 971, 607, 12751, 9483, 20180, 528, 630, 3192, 273, 1700, 3192, 277, 1070, 17294, 540, 519, 15944, 7813, 630, 2735, 273, 1700, 2735, 276, 264, 543, 2212, 540, 519, 12020, 8189, 630, 2735, 276, 1700, 2735, 278, 1916, 1103, 476, 1960, 272, 267, 607, 3127, 5185, 513, 4049, 2804, 6433, 267, 9241, 11221, 11788, 10579, 623, 269, 966, 269, 23902, 553, 574, 3873, 681, 7776, 19599, 32366, 539, 519, 3284, 11823, 19453, 883, 1010, 22277, 607, 16010, 10579, 269, 3683, 519, 1985, 1906, 1296, 267, 5103, 2178, 11685, 267, 646, 607, 513, 16010, 10579, 5645, 856, 1896, 7293, 15024, 602, 12666, 2213, 3127, 781, 4346, 269, 4014, 891, 3800, 9863, 3811, 538, 19011, 1154, 519, 6433, 267, 543, 8476, 19453, 781, 10639, 11451, 607, 513, 3056, 6963, 16490, 30168, 267, 519, 1651, 3518, 550, 6837, 5428, 535, 1563, 14605, 538, 519, 476, 1960, 277, 2489, 9550, 269, 30272, 267, 19453, 6039, 607, 26064, 540, 519, 11534, 3789, 538, 519, 14076, 5984, 17939, 3873, 630, 1492, 5580, 2777, 540, 519, 12057, 540, 3127, 264, 1282, 519, 589, 2145, 4437, 327, 926, 966, 1690, 335, 599, 2465, 2229, 540, 476, 1960, 279, 1700, 1220, 275, 563, 1103, 476, 1220, 275, 267, 950, 519, 6837, 21445, 2136, 28626, 19137, 630, 308, 5183, 264, 3357, 547, 1379, 267, 922, 11381, 17367, 590, 8205, 19413, 30122, 882, 22055, 1639, 519, 6566, 4536, 1222, 547, 2494, 332, 2129, 534, 19453, 269, 19453, 781, 1101, 18591, 13401, 1896, 1883, 9777, 725, 543, 3785, 267, 1519, 519, 22798, 2657, 17030, 267, 23433, 22384, 16958, 267, 22798, 25477, 2871, 5875, 2465, 10325, 543, 9406, 547, 6176, 2920, 269, 769, 476, 1220, 279, 267, 11685, 547, 513, 8978, 3540, 6046, 6876, 609, 519, 2136, 2276, 5176, 3361, 19453, 781, 2229, 547, 2887, 1310, 19382, 13571, 6105, 24013, 4319, 741, 1489, 269, 4014, 3127, 781, 4346, 8057, 6385, 896, 772, 5183, 594, 267, 922, 3354, 729, 12219, 676, 1896, 22681, 13685, 630, 10175, 519, 476, 1220, 279, 29180, 6285, 264, 543, 519, 11173, 31474, 626, 1202, 4026, 1890, 563, 763, 476, 1220, 280, 2489, 9550, 4718, 519, 772, 5183, 2132, 609, 606, 2799, 23626, 267, 609, 19453, 20808, 519, 5604, 540, 11788, 10579, 269, 3683, 519, 1985, 1906, 1296, 267, 19453, 781, 2034, 18591, 2229, 5185, 513, 1297, 540, 13313, 10997, 1765, 1478, 519, 13539, 540, 519, 476, 1001, 271, 20448, 10632, 267, 519, 476, 273, 294, 8552, 14305, 2013, 543, 519, 14305, 540, 5755, 7161, 269, 2991, 1010, 2165, 8694, 538, 476, 1001, 275, 646, 1904, 539, 856, 689, 519, 5198, 585, 519, 5604, 540, 519, 11788, 10579, 540, 3127, 1282, 519, 476, 1001, 275, 4095, 2489, 9550, 269, 19453, 729, 2760, 513, 4759, 540, 519, 700, 758, 17939, 3873, 855, 6039, 607, 513, 4759, 540, 519, 12057, 540, 3127, 267, 8204, 519, 1533, 540, 2667, 600, 538, 519, 14076, 5984, 17939, 3873, 585, 2947, 2474, 689, 476, 1960, 272, 547, 476, 1001, 280, 269, 769, 4864, 476, 1001, 280, 267, 19453, 19429, 1010, 9930, 1588, 607, 513, 6837, 11134, 547, 519, 14076, 5984, 17939, 3873, 689, 14076, 553, 22474, 1310, 519, 2669, 540, 9361, 12463, 8496, 534, 700, 531, 590, 664, 328, 563, 15900, 1272, 543, 2069, 454, 306, 532, 327, 729, 4535, 547, 717, 584, 332, 4157, 327, 19453, 543, 2549, 761, 918, 4768, 593, 476, 2918, 5181, 476, 4350, 273, 267, 538, 717, 1695, 267, 23570, 267, 3703, 3127, 267, 883, 513, 27566, 1920, 269, 1261, 4503, 1010, 3993, 950, 646, 729, 1360, 1762, 543, 729, 6659, 676, 1010, 533, 11189, 20516, 267, 547, 7247, 646, 729, 1360, 2673, 563, 5475, 519, 3487, 819, 540, 3127, 267, 1010, 1920, 28953, 547, 2549, 761, 338, 541, 267, 3127, 267, 1141, 646, 6594, 693, 9699, 5441, 267, 2549, 761, 338, 541, 269, 1261, 13984, 7754, 20602, 2160, 267, 1287, 538, 670, 9655, 3511, 20580, 267, 23570, 267, 4974, 13188, 543, 3893, 1010, 20277, 781, 543, 4487, 781, 5232, 538, 476, 4198, 273, 543, 476, 4198, 275, 267, 6606, 267, 7555, 1101, 2429, 1010, 4081, 4876, 269, 1261, 6192, 1010, 13188, 10222, 1842, 693, 2160, 540, 11062, 607, 646, 729, 513, 4759, 540, 853, 3627, 781, 5441, 538, 476, 4198, 278, 563, 1103, 513, 476, 1220, 276, 5967, 609, 519, 3703, 19784, 4460, 570, 592, 569, 267, 19453, 1767, 827, 1010, 11062, 2395, 912, 296, 1101, 2968, 6857, 540, 519, 3860, 1909, 540, 6214, 538, 5935, 1480, 12602, 267, 543, 594, 28297, 602, 6140, 547, 1250, 3610, 29315, 20484, 543, 22956, 918, 12245, 528, 269, 29315, 20484, 729, 513, 13085, 4116, 267, 855, 1352, 849, 8179, 547, 32570, 519, 6418, 25903, 540, 1200, 1053, 538, 513, 6073, 602, 1360, 1906, 1866, 941, 2111, 547, 3035, 269, 2701, 20402, 803, 513, 1390, 4308, 543, 1500, 803, 1589, 519, 796, 20459, 762, 269, 2701, 4412, 15903, 519, 2451, 13617, 7664, 540, 3223, 29498, 267, 4509, 602, 519, 1533, 814, 547, 1404, 811, 540, 513, 1909, 952, 596, 2731, 1616, 547, 9192, 1646, 609, 1514, 9698, 269, 918, 12245, 528, 6766, 803, 1256, 811, 282, 594, 1336, 1864, 31544, 267, 1085, 842, 650, 908, 267, 18398, 269, 29315, 20484, 729, 513, 1390, 23507, 337, 540, 1018, 729, 2469, 593, 538, 3624, 267, 855, 918, 12245, 528, 1031, 519, 3223, 2106, 14198, 2079, 547, 6542, 602, 16851, 1223, 581, 1500, 547, 960, 563, 5475, 11062, 267, 19453, 8120, 547, 3127, 543, 6039, 607, 513, 4116, 693, 7754, 20602, 2160, 269, 769, 476, 3422, 271, 267, 646, 4682, 547, 519, 2160, 540, 10228, 585, 519, 667, 24589, 267, 1141, 646, 729, 513, 4759, 540, 715, 4428, 1752, 5441, 269, 3571, 476, 3422, 273, 25719, 5098, 896, 519, 15569, 540, 594, 8160, 6185, 269, 9741, 729, 11331, 834, 19328, 781, 13143, 2773, 267, 476, 4198, 272, 1700, 3422, 271, 267, 13143, 16548, 543, 3609, 6286, 2580, 543, 729, 2663, 519, 4493, 585, 1010, 1433, 834, 19328, 781, 1401, 1636, 12367, 543, 18370, 11072, 585, 8682, 4149, 755, 7134, 12618, 8487, 5475, 11264, 1010, 667, 269, 24589, 1421, 19453, 8120, 547, 3127, 269, 1261, 729, 513, 9972, 32082, 540, 9297, 693, 7754, 20602, 2160, 689, 476, 4198, 278, 547, 476, 4198, 280, 269, 4438, 476, 4198, 280, 543, 476, 3422, 274, 267, 646, 6039, 607, 513, 5467, 538, 9297, 693, 7754, 20602, 2160, 267, 543, 689, 476, 3422, 274, 547, 476, 3422, 276, 267, 646, 729, 606, 9297, 7548, 972, 269, 3973, 646, 4682, 547, 960, 585, 519, 2136, 8315, 10985, 593, 11780, 543, 4886, 630, 7419, 6311, 4696, 264, 689, 476, 3422, 277, 1700, 3422, 280, 269, 13536, 267, 646, 729, 12912, 607, 606, 25129, 547, 519, 12080, 540, 14579, 11780, 676, 700, 531, 527, 23902, 18885, 631, 880, 571, 267, 538, 6284, 540, 19453, 781, 13007, 607, 606, 30168, 563, 5804, 476, 3422, 280, 547, 476, 3192, 272, 267, 19453, 729, 513, 7548, 540, 3486, 4123, 693, 519, 16156, 3427, 540, 13188, 267, 2160, 540, 16156, 563, 1103, 476, 3192, 273, 267, 19453, 729, 8783, 2804, 9666, 518, 538, 519, 12080, 540, 16010, 267, 543, 538, 476, 3192, 277, 646, 729, 23122, 538, 519, 16010, 12080, 269, 769, 476, 2735, 271, 1700, 2735, 273, 646, 729, 693, 519, 12020, 8189, 267, 543, 538, 476, 2735, 273, 267, 646, 729, 12912, 17294, 540, 519, 15944, 7813, 540, 3127, 896, 1287, 8804, 14012, 2398, 534, 629, 631, 4157, 615, 329, 2465, 543, 4371, 519, 2022, 2394, 476, 2735, 276, 269, 1261, 4682, 593, 547, 1831, 519, 1244, 14280, 28579, 540, 519, 12020, 8189, 630, 19328, 264, 689, 476, 2735, 276, 547, 476, 2735, 278, 269, 11374, 1010, 26022, 693, 519, 12020, 8189, 267, 646, 729, 23122, 2489, 540, 519, 3162, 8189, 267, 606, 4830, 2804, 3609, 1589, 7382, 2212, 32483, 1229, 538, 25611, 267, 16848, 689, 476, 2735, 278, 547, 5437, 476, 1960, 271, 563, 306, 532, 327, 8120, 547, 3127, 689, 25611, 538, 5437, 476, 1960, 271, 543, 4371, 519, 2022, 607, 519, 25129, 547, 11788, 10579, 540, 3127, 593, 2804, 12602, 1282, 519, 26022, 540, 966, 269, 623, 269, 19453, 269, 769, 4728, 476, 1960, 272, 267, 646, 2968, 28579, 540, 519, 2160, 6182, 1218, 8189, 563, 23991, 543, 2123, 1272, 454, 28269, 10579, 19453, 543, 717, 2720, 9618, 534, 918, 4768, 538, 476, 1001, 271, 454, 306, 532, 327, 9310, 717, 2720, 9618, 534, 918, 4768, 538, 476, 4198, 279, 269, 1358, 723, 1614, 20766, 267, 5455, 5407, 19453, 267, 12456, 534, 19453, 543, 2549, 761, 19453, 269, 5455, 5407, 19453, 568, 513, 7548, 540, 1686, 693, 12891, 24499, 2160, 269, 2701, 814, 2854, 3670, 2835, 267, 1519, 9147, 16156, 630, 1960, 280, 264, 543, 589, 3778, 540, 9147, 543, 7216, 19744, 3127, 630, 1220, 279, 1040, 12456, 534, 19453, 568, 513, 10927, 540, 853, 269, 15537, 781, 5441, 267, 16156, 543, 4659, 540, 22798, 5004, 267, 1323, 663, 267, 30899, 520, 267, 543, 2278, 540, 634, 7831, 13571, 1512, 281, 4658, 543, 5983, 7370, 538, 631, 714, 528, 600, 543, 513, 3209, 27607, 676, 27607, 267, 2549, 761, 19453, 568, 513, 5234, 18607, 693, 519, 1977, 6406, 19115, 625, 5742, 269, 12891, 758, 623, 3430, 3534, 1731, 267, 476, 2735, 274, 16801, 4095, 17318, 6796, 11464, 267, 5067, 2987, 25237, 540, 5449, 11788, 10579, 2494, 332, 2129, 534, 19453, 267, 729, 12912, 16628, 540, 2817, 11106, 25373, 630, 2793, 307, 16165, 2839, 264, 538, 476, 1001, 277, 563, 306, 532, 327, 814, 22734, 2789, 13487, 21271, 23361, 267, 519, 1034, 2487, 540, 799, 3576, 1747, 538, 5130, 476, 1220, 280, 563, 1103, 4873, 476, 1960, 272, 267, 3127, 781, 6305, 14012, 693, 519, 942, 267, 623, 269, 966, 269, 23902, 553, 574, 3873, 681, 7776, 267, 8359, 19453, 547, 581, 1010, 8804, 14012, 269, 19453, 5143, 4460, 570, 592, 569, 519, 3703, 19784, 538, 476, 1220, 276, 834, 4002, 519, 1554, 630, 305, 7776, 264, 729, 1106, 6819, 1010, 22277, 267, 646, 2366, 1010, 25867, 14199, 547, 803, 6031, 267, 1412, 763, 6751, 1131, 899, 596, 547, 1831, 519, 10579, 540, 16010, 8339, 594, 4769, 1405, 1491, 621, 12517, 269, 1261, 5555, 27424, 803, 1524, 519, 1985, 6640, 267, 2864, 14220, 267, 543, 18796, 602, 594, 1205, 21039, 909, 543, 2097, 547, 681, 1662, 339, 1905, 10620, 645, 6409, 534, 585, 519, 2220, 8960 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 519, 7464, 11060, 267, 1287, 1384, 346, 269, 348, 815, 1022, 1875, 268, 24105, 681, 4759, 692, 347, 24001, 347, 815, 634, 3556, 514, 1275, 540, 519, 8900, 1305, 815, 476, 271, 692, 347, 346, 269, 348, 347, 815, 634, 10545, 3032, 19734, 1275, 540, 1022, 1875, 268, 24105, 1305, 815, 476, 272, 692, 271, 610, 476, 272, 616, 2818, 540, 654, 780, 27001, 476, 271, 547, 476, 272, 972, 568, 15079, 610, 538, 824, 1913, 267, 519, 5912, 689, 454, 271, 547, 476, 272, 543, 13030, 17930, 267, 568, 513, 5123, 5912, 610, 513, 7061, 20014, 780, 763, 5912, 781, 1826, 689, 15079, 547, 2715, 269, 348, 815, 519, 5912, 781, 1826, 689, 476, 271, 547, 476, 272, 855, 2676, 20357, 621, 568, 513, 5123, 5912, 267, 543, 649, 3112, 946, 15079, 610, 2715, 269, 8679, 553, 606, 3693, 1063, 15079, 547, 2715, 269, 9574, 649, 723, 1100, 3903, 855, 547, 454, 3698, 710, 513, 1007, 1305, 781, 1543, 780, 24001, 815, 2506, 696, 1465, 454, 346, 269, 13157, 10871, 1242, 3693, 815, 8672, 454, 346, 318, 13157, 6348, 2000, 5914, 1242, 3693, 815, 7412, 692, 11997, 1063, 15079, 547, 2715, 269, 348, 972, 568, 2715, 318, 348, 780, 3086, 649, 666, 9959, 602, 1063, 1022, 1079, 1875, 268, 24105, 681, 2818, 972, 454, 1410, 626, 513, 1875, 2000, 5914, 1242, 3693, 780, 11997, 1923, 305, 347, 1281, 711, 723, 519, 1379, 540, 519, 8033, 10840, 780, 8310, 12995, 676, 513, 15645, 1807, 912, 16665, 4033, 8212, 11762, 5240, 593, 4284, 3820, 692, 2971, 6715, 1537, 692, 1805, 3530, 9622, 7978, 454, 20112, 16588, 454, 10303, 676, 1230, 14846, 5336, 520, 24136, 267, 1169, 681, 4759, 568, 513, 1448, 538, 519, 7464, 11060, 267, 1287, 1384, 346, 269, 348, 815, 1022, 1875, 268, 24105, 681, 4759, 692, 347, 24001, 347, 815, 476, 271, 692, 347, 346, 269, 348, 347, 815, 476, 272, 692, 2467, 6013, 707, 8373, 267, 607, 2484, 607, 519, 1483, 2338, 979, 519, 1152, 3017, 1063, 476, 272, 543, 476, 271, 568, 4087, 269, 1411, 3100, 547, 581, 31552, 602, 476, 271, 568, 11214, 513, 834, 338, 2133, 257, 5544, 538, 519, 1483, 1899, 269, 898, 568, 1152, 2027, 538, 602, 621, 568, 3989, 547, 581, 519, 19605, 7329, 523, 640, 3693, 269, 1924, 952, 630, 514, 707, 10035, 454, 347, 346, 269, 348, 347, 815, 476, 272, 692, 529, 513, 1448, 593, 519, 1483, 1899, 1287, 649, 1590, 849, 723, 692, 347, 346, 269, 348, 347, 815, 476, 271, 692, 7712, 476, 271, 568, 3274, 513, 1448, 593, 519, 1483, 1899, 899, 1169, 824, 1448, 593, 519, 1483, 1899, 780, 2252, 596, 666, 1205, 513, 3180, 540, 602, 1249, 5310, 596, 666, 16718, 27830, 707, 942, 609, 891, 20060, 1619, 834, 16513, 338, 5016, 8310, 12995, 1384, 2971, 8065, 810, 325, 296, 11803, 692, 29094, 4477, 704, 454, 2026, 1279, 607, 596, 31274, 2390, 4657, 519, 8847, 540, 519, 1913, 267, 596, 666, 834, 2889, 557, 257, 4376, 596, 899, 855, 621, 786, 1869, 581, 2495, 1652, 780, 296, 1223, 3362, 6961, 602, 595, 283, 1923, 305, 347, 676, 595, 547, 581, 519, 1297, 540, 7515, 538, 1250, 2777, 543, 1923, 305, 347, 547, 519, 1297, 540, 23107, 256, 9122, 593, 31253, 8847, 267, 595, 283, 1923, 305, 347, 855, 621, 568, 607, 2495, 1652, 607, 707, 2022, 780, 17098, 6715, 1537, 10484, 1692, 666, 519, 3556, 514, 1275, 540, 513, 1875, 268, 24105, 681, 4759, 666, 581, 1447, 982, 476, 272, 26042, 347, 24001, 347, 815, 519, 3556, 514, 1275, 540, 519, 8900, 1305, 815, 476, 271, 692, 763, 3556, 514, 1275, 540, 1022, 1875, 268, 24105, 1305, 630, 1923, 346, 269, 348, 347, 3738, 2760, 666, 581, 1447, 1287, 476, 272, 476, 2439, 3383, 267, 1923, 346, 269, 348, 347, 815, 476, 271, 3274, 1281, 711, 3180, 780, 5785, 14343, 13430, 17098, 8065, 810, 325, 296, 11803, 10484, 288, 3349, 610, 513, 11381, 610, 1022, 824, 3693, 602, 568, 711, 4986, 1145, 267, 3112, 723, 513, 3556, 514, 1275, 267, 799, 568, 1447, 982, 476, 272, 16317, 3383, 267, 707, 4661, 568, 1759, 1152, 593, 519, 1875, 268, 24105, 2262, 267, 855, 1250, 6169, 568, 1759, 593, 1312, 8900, 543, 519, 1875, 268, 24105, 1913, 780, 8310, 12995, 676, 513, 15645, 1807, 1384, 2971, 6715, 1537, 692, 1805, 3530, 9622, 7978, 454, 20112, 16588, 454, 8253, 1152, 798, 596, 1118, 909, 707, 1378, 8847, 267, 596, 1689, 873, 693, 519, 627, 574, 540, 519, 12798, 780, 2005, 1131, 581, 942, 1134, 6170, 585, 596, 547, 1265, 513, 1434, 1433, 593, 7464, 5811, 269, 1411, 991, 547, 1118, 606, 4674, 547, 1451, 1018, 875, 547, 5968, 707, 2093, 269, 634, 1655, 1259, 547, 798, 713, 568, 1369, 519, 7406, 960, 799, 2907, 6818, 269, 898, 568, 513, 3653, 540, 942, 547, 5368, 1203, 519, 8868, 269, 25385, 525, 6053, 2094, 596, 3100, 547, 1616, 513, 4009, 835, 780, 31171, 912, 9617, 1141, 568, 713, 7962, 1465, 267, 528, 7934, 283, 596, 3136, 547, 3717, 540, 286, 1772, 713, 7934, 2189, 547, 4642, 286, 4208, 286, 4208, 1281, 519, 7934, 711, 2291, 1063, 1022, 476, 273, 9981, 286, 1548, 4523, 952, 594, 12337, 2715, 326, 777, 348, 1341, 476, 272, 286, 610, 476, 1015, 286, 4208, 616, 596, 865, 8247, 593, 4466, 713, 7934, 693, 4642, 286, 4208, 711, 693, 476, 1911, 2496, 296, 267, 543, 824, 267, 14387, 1622, 786, 1448, 856, 602, 513, 7934, 1281, 711, 2291, 267, 2094, 649, 666, 1747, 513, 1297, 538, 519, 1647, 540, 1022, 7934, 596, 2012, 269, 1924, 1141, 568, 713, 7934, 286, 1215, 666, 513, 7934, 267, 799, 568, 4904, 609, 2338, 581, 513, 7934, 2496, 8310, 12995, 1384, 28989, 6715, 1537, 10484, 3719, 596, 1705, 711, 2626, 1250, 4661, 780, 5472, 1018, 594, 1705, 568, 547, 19820, 1250, 6169, 267, 1310, 594, 7691, 602, 596, 1810, 1405, 1174, 621, 780, 312, 2293, 10484, 291, 528, 517, 692, 8310, 12995, 676, 513, 15645, 1807, 1384, 2971, 6715, 1537, 692, 1805, 3530, 9622, 7978, 454, 20112, 16588, 454, 2791, 723, 711, 12943, 1022, 540, 1250, 2055, 2901, 780, 18204, 1537, 10484, 2005, 568, 1250, 12161, 267, 594, 29709, 547, 2328, 602, 476, 271, 610, 476, 272, 616, 519, 2818, 540, 654, 780, 3383, 267, 1631, 596, 786, 1174, 1946, 594, 2322, 15079, 1063, 476, 271, 547, 476, 272, 267, 538, 519, 1101, 3942, 540, 1250, 6169, 780, 288, 6169, 602, 1923, 305, 347, 2999, 595, 454, 2411, 21387, 10303, 676, 1230, 14846, 5336, 520, 24136, 267, 1169, 681, 4759, 568, 513, 1448, 538, 519, 7464, 11060, 267, 1287, 1384, 346, 269, 348, 815, 1022, 1875, 268, 24105, 681, 4759, 692, 347, 24001, 347, 815, 634, 3556, 514, 1275, 540, 519, 8900, 1305, 815, 476, 271, 692, 347, 346, 269, 348, 347, 815, 634, 10545, 3032, 19734, 1275, 540, 1022, 1875, 268, 24105, 1305, 815, 476, 272, 692, 271, 610, 476, 272, 616, 2818, 540, 654, 780, 27001, 476, 271, 547, 476, 272, 972, 568, 15079, 610, 538, 824, 1913, 267, 519, 5912, 689, 454, 271, 547, 476, 272, 543, 13030, 17930, 267, 568, 513, 5123, 5912, 610, 513, 7061, 20014, 780, 763, 5912, 781, 1826, 689, 15079, 547, 2715, 269, 348, 815, 519, 5912, 781, 1826, 689, 476, 271, 547, 476, 272, 855, 2676, 20357, 621, 568, 513, 5123, 5912, 267, 543, 649, 3112, 946, 15079, 610, 2715, 269, 8679, 553, 606, 3693, 1063, 15079, 547, 2715, 269, 9574, 649, 723, 1100, 3903, 855, 547, 454, 3698, 710, 513, 1007, 1305, 781, 1543, 780, 24001, 815, 2506, 696, 1465, 454, 346, 269, 13157, 10871, 1242, 3693, 815, 8672, 454, 346, 318, 13157, 6348, 2000, 5914, 1242, 3693, 815, 7412, 692, 11997, 1063, 15079, 547, 2715, 269, 348, 972, 568, 2715, 318, 348, 780, 3086, 649, 666, 9959, 602, 1063, 1022, 1079, 1875, 268, 24105, 681, 2818, 972, 454, 1410, 626, 513, 1875, 2000, 5914, 1242, 3693, 780, 11997, 1923, 305, 347, 1281, 711, 723, 519, 1379, 540, 519, 8033, 10840, 780, 8310, 12995, 676, 513, 15645, 1807, 1384, 2971, 6715, 1537, 692, 1805, 3530, 9622, 7978, 454, 20112, 16588, 454, 18204, 1537, 10484, 2005, 568, 1250, 12161, 267, 594, 29709, 547, 2328, 602, 476, 271, 610, 476, 272, 616, 519, 2818, 540, 654, 563, 1432, 568, 654, 888, 3383, 267, 1631, 596, 786, 1174, 1946, 594, 2322, 15079, 1063, 476, 271, 547, 476, 272, 267, 538, 519, 1101, 3942, 540, 1250, 6169, 563, 1432, 6169, 286, 3143, 267, 594, 798, 711, 1174, 1018, 15079, 568, 780, 288, 6169, 602, 1923, 305, 347, 2999, 595, 454, 2411, 21387, 10303, 676, 1230, 14846, 5336, 520, 24136, 267, 1169, 681, 4759, 568, 513, 1448, 538, 519, 7464, 11060, 267, 1287, 1384, 346, 269, 348, 815, 1022, 1875, 268, 24105, 681, 4759, 454, 1432, 568, 513, 1875, 268, 24105, 681, 4759, 2496, 347, 24001, 347, 815, 634, 3556, 514, 1275, 540, 519, 8900, 1305, 815, 476, 271, 692, 347, 346, 269, 348, 347, 815, 634, 10545, 3032, 19734, 1275, 540, 1022, 1875, 268, 24105, 1305, 815, 476, 272, 692, 271, 610, 476, 272, 616, 2818, 540, 654, 563, 1432, 568, 654, 888, 27001, 476, 271, 547, 476, 272, 972, 568, 15079, 610, 538, 824, 1913, 267, 519, 5912, 689, 454, 271, 547, 476, 272, 543, 13030, 17930, 267, 568, 513, 5123, 5912, 610, 513, 7061, 20014, 563, 1607, 568, 1018, 596, 616, 3843, 547, 6961, 269, 7316, 568, 519, 6169, 286, 2353, 596, 798, 568, 1533, 621, 269, 7316, 568, 707, 4214, 540, 5123, 5912, 610, 17747, 20014, 2496, 763, 5912, 781, 1826, 689, 15079, 547, 2715, 269, 348, 815, 519, 5912, 781, 1826, 689, 476, 271, 547, 476, 272, 855, 2676, 20357, 621, 568, 513, 5123, 5912, 267, 543, 649, 3112, 946, 15079, 610, 2715, 269, 8679, 553, 606, 3693, 1063, 15079, 547, 2715, 269, 9574, 649, 723, 1100, 3903, 855, 547, 454, 3698, 710, 513, 1007, 1305, 781, 1543, 780, 24001, 815, 2506, 696, 1465, 454, 346, 269, 13157, 10871, 1242, 3693, 815, 8672, 454, 346, 318, 13157, 6348, 2000, 5914, 1242, 3693, 815, 7412, 692, 11997, 1063, 15079, 547, 2715, 269, 348, 972, 568, 2715, 318, 348, 563, 296, 1294, 267, 596, 5581, 621, 547, 581, 865, 269, 1411, 723, 711, 3989, 834, 1467, 3693, 257, 1018, 568, 602, 888, 3086, 649, 666, 9959, 602, 1063, 1022, 1079, 1875, 268, 24105, 681, 2818, 972, 454, 1410, 626, 513, 1875, 2000, 5914, 1242, 3693, 780, 11997, 1923, 305, 347, 1281, 711, 723, 519, 1379, 540, 519, 8033, 10840, 563, 5226, 924, 513, 20014, 267, 1215, 1705, 596, 1118, 621, 286, 1411, 723, 711, 2016, 803, 1022, 6169, 267, 1152, 6811, 269, 1411, 15151, 723, 3989, 621, 547, 581, 3020, 780, 8489, 568, 713, 7934, 286, 4208, 568, 621, 1152, 2282, 4642, 2496, 1432, 568, 654, 888, 310, 568, 519, 1305, 540, 519, 19940, 2338, 780, 301, 815, 634, 1305, 540, 782, 2318, 9981, 267, 17642, 719, 476, 271, 563, 310, 815, 634, 1305, 540, 782, 2318, 9981, 267, 1331, 476, 271, 563, 313, 815, 634, 1305, 540, 782, 9981, 563, 304, 815, 634, 1305, 540, 782, 7787, 2338, 563, 305, 815, 634, 1305, 540, 782, 3352, 1049, 2338, 563, 290, 815, 634, 1305, 540, 782, 1950, 2338, 780, 12179, 1509, 324, 828, 540, 519, 5036, 1657, 267, 568, 513, 1448, 815, 2715, 269, 348, 538, 519, 1483, 11060, 563, 1432, 568, 15079, 15017, 24001, 815, 634, 2506, 27679, 1305, 630, 13729, 781, 1543, 1281, 711, 2291, 994, 346, 269, 348, 815, 2368, 1305, 781, 4759, 630, 20880, 6818, 2020, 347, 24001, 347, 815, 634, 3556, 514, 1275, 540, 519, 2506, 27679, 1305, 815, 476, 271, 454, 347, 346, 269, 348, 347, 815, 634, 10545, 3032, 19734, 1275, 540, 1022, 1875, 268, 24105, 1305, 815, 476, 272, 692, 27001, 1022, 1079, 654, 2818, 972, 568, 4986, 263, 284, 24001, 1070, 663, 952, 972, 568, 267, 555, 599, 616, 711, 715, 267, 310, 267, 528, 2098, 2818, 267, 855, 681, 610, 595, 2818, 780, 11997, 267, 972, 568, 513, 5123, 5912, 1063, 1923, 24001, 347, 263, 284, 271, 264, 547, 1923, 346, 269, 348, 347, 263, 284, 272, 264, 543, 13030, 17930, 780, 27001, 2715, 12917, 284, 1100, 1543, 264, 547, 2715, 269, 2410, 284, 513, 1543, 264, 972, 568, 849, 513, 5123, 5912, 1063, 15079, 547, 2715, 269, 9574, 543, 13030, 17930, 780, 2171, 3112, 946, 15079 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 5750, 1229, 2272, 656, 543, 1728, 19282, 5856, 269, 1261, 2729, 538, 589, 828, 1372, 523, 267, 10430, 267, 609, 1010, 7385, 543, 1453, 267, 1141, 789, 616, 2818, 540, 27076, 5783, 589, 828, 1372, 523, 269, 4477, 6511, 28828, 345, 25661, 807, 568, 513, 5507, 2861, 3879, 15249, 945, 24870, 538, 23609, 267, 21107, 14745, 267, 543, 1433, 14745, 269, 4173, 960, 568, 6273, 676, 1148, 267, 3332, 267, 543, 8874, 267, 543, 814, 1044, 12286, 676, 13629, 8075, 267, 12326, 267, 543, 14786, 267, 971, 607, 31919, 15932, 5600, 543, 11370, 3960, 293, 3975, 269, 0, 763, 19993, 17811, 6981, 585, 513, 1880, 1268, 568, 513, 1888, 540, 5571, 1382, 676, 13500, 543, 19174, 269, 1452, 1331, 3384, 1702, 827, 519, 1297, 540, 8477, 538, 1426, 267, 519, 1297, 540, 8477, 10057, 676, 519, 1560, 267, 543, 519, 4542, 585, 21501, 835, 779, 3232, 1608, 7595, 2115, 563, 1432, 1684, 2836, 1559, 6399, 888, 2171, 2268, 519, 7274, 540, 1648, 602, 1426, 2488, 538, 2474, 540, 8477, 269, 589, 17811, 568, 519, 2179, 540, 1648, 621, 3217, 547, 3002, 835, 2148, 540, 1216, 676, 835, 4110, 17622, 563, 17843, 2010, 540, 8477, 543, 741, 5222, 454, 3682, 12888, 267, 11950, 267, 543, 3170, 1118, 909, 519, 5354, 540, 519, 8477, 538, 513, 3339, 1480, 2732, 269, 1280, 1082, 2043, 267, 4568, 4616, 666, 581, 513, 1713, 2707, 540, 3606, 1608, 7595, 6981, 269, 634, 2165, 968, 332, 659, 1258, 19153, 892, 4016, 547, 891, 2185, 8192, 2516, 269, 3962, 5672, 1258, 22021, 814, 513, 1808, 2179, 540, 8477, 829, 6121, 267, 5103, 519, 1249, 602, 972, 568, 1100, 4276, 1063, 9422, 5383, 543, 17811, 6981, 912, 268, 3962, 6121, 540, 11950, 3568, 2185, 8477, 563, 303, 20094, 1500, 689, 9274, 267, 899, 18437, 543, 3694, 267, 3536, 609, 513, 1164, 20566, 1543, 267, 899, 20397, 607, 1134, 607, 12277, 267, 543, 21187, 547, 3536, 267, 899, 4006, 267, 616, 1806, 540, 11950, 563, 268, 3962, 6121, 540, 3940, 3568, 2185, 8477, 563, 288, 1906, 1806, 616, 31949, 267, 5798, 267, 10808, 543, 5779, 563, 268, 15310, 7472, 8370, 6121, 540, 8477, 454, 26807, 3536, 267, 1519, 575, 31649, 267, 7423, 267, 5452, 267, 10808, 267, 19146, 15606, 267, 14462, 3282, 267, 543, 1866, 2270, 1164, 5666, 540, 8477, 563, 268, 15850, 3568, 5722, 8477, 454, 763, 3328, 17811, 1543, 540, 4568, 568, 5722, 8477, 829, 20853, 267, 1818, 621, 513, 1875, 268, 24207, 5672, 1258, 22021, 563, 17843, 3536, 723, 606, 1764, 593, 707, 6484, 543, 8171, 1256, 1498, 972, 568, 711, 513, 5730, 267, 4998, 8167, 540, 5672, 1258, 19153, 269, 1677, 2061, 8770, 19518, 267, 596, 1590, 2226, 513, 2635, 2732, 563, 763, 1739, 616, 519, 2188, 602, 3310, 519, 2179, 540, 8477, 547, 581, 10057, 912, 24464, 3335, 2154, 811, 8477, 982, 2021, 798, 269, 2368, 540, 519, 3123, 585, 713, 1331, 10399, 267, 2698, 1560, 2597, 267, 543, 16757, 2527, 269, 898, 568, 2352, 547, 3313, 519, 4998, 2179, 1317, 3025, 779, 4948, 8192, 4170, 616, 1114, 563, 268, 634, 4463, 540, 606, 1367, 454, 7712, 26339, 1004, 723, 811, 10709, 1560, 2527, 829, 11013, 267, 789, 666, 946, 513, 2362, 3490, 10307, 1297, 950, 12719, 8477, 563, 268, 10610, 13379, 454, 10214, 1498, 18219, 2043, 3335, 6633, 811, 8477, 1247, 693, 1964, 267, 711, 782, 6550, 616, 2813, 3160, 269, 4595, 513, 11013, 540, 4887, 666, 6633, 811, 8477, 982, 513, 11013, 540, 1560, 3170, 267, 4887, 1532, 4265, 619, 723, 2362, 17811, 4170, 563, 268, 589, 1268, 779, 2085, 454, 763, 1973, 4006, 540, 1762, 2043, 568, 2539, 982, 602, 540, 4587, 1004, 543, 4061, 789, 2154, 811, 1426, 269, 24771, 2043, 723, 14887, 8311, 3359, 543, 616, 1447, 9308, 3742, 982, 7820, 2043, 563, 268, 5426, 540, 11314, 454, 17829, 945, 616, 3742, 2154, 811, 8477, 3379, 547, 1346, 945, 960, 513, 25161, 2816, 269, 1411, 666, 5173, 707, 645, 17307, 630, 15368, 531, 5450, 20326, 15580, 264, 1759, 593, 2188, 899, 4008, 267, 2085, 267, 2597, 543, 4463, 269, 1411, 666, 849, 4137, 856, 875, 1082, 8477, 596, 2461, 8781, 1282, 707, 15904, 563, 26473, 790, 618, 540, 8477, 829, 1554, 454, 763, 968, 5632, 12929, 538, 892, 543, 968, 5632, 12929, 856, 892, 2203, 814, 1044, 4767, 547, 581, 23696, 538, 930, 2665, 950, 12394, 547, 6336, 2597, 269, 6736, 922, 7145, 267, 2043, 1419, 7237, 7965, 538, 8236, 713, 3804, 1813, 547, 1079, 2188, 912, 268, 1411, 1522, 711, 581, 3222, 540, 875, 1082, 3063, 8477, 616, 1373, 3773, 547, 707, 6980, 563, 268, 2659, 1560, 949, 6633, 7864, 8477, 829, 1554, 982, 596, 4397, 563, 2171, 786, 3391, 596, 998, 513, 17811, 4831, 2630, 547, 948, 596, 4137, 856, 707, 645, 17307, 269, 2913, 721, 1101, 1865, 875, 1082, 8477, 596, 991, 1142, 1554, 563, 268, 634, 4079, 454, 8794, 707, 19483, 630, 7853, 2527, 4994, 264, 607, 513, 4358, 1448, 267, 596, 666, 3533, 1685, 513, 9819, 2228, 267, 855, 17874, 513, 14468, 2732, 23790, 568, 2141, 5227, 269, 769, 2489, 267, 8951, 1058, 8532, 476, 1220, 271, 8477, 829, 1554, 267, 1247, 9038, 1058, 8532, 476, 7742, 271, 269, 1452, 5515, 267, 2705, 267, 616, 711, 3617, 585, 3025, 1317, 1169, 1367, 814, 2189, 4170, 563, 763, 9422, 7569, 593, 513, 1268, 779, 1560, 616, 5207, 1282, 519, 15730, 1296, 269, 7216, 23648, 7436, 519, 12614, 540, 14000, 538, 1312, 8695, 543, 8951, 563, 289, 9081, 3335, 991, 476, 273, 267, 8517, 8477, 829, 1554, 267, 1247, 8951, 1152, 991, 476, 13136, 271, 269, 5938, 523, 6162, 991, 7850, 5666, 540, 8324, 543, 5567, 538, 1840, 547, 7850, 17811, 6981, 269, 898, 666, 2014, 15400, 2042, 609, 741, 7406, 540, 7633, 607, 1134, 607, 12058, 952, 789, 18178, 856, 593, 1898, 5567, 1247, 12394, 547, 6749, 2597, 563, 268, 634, 3214, 454, 27736, 1063, 519, 6502, 540, 476, 272, 268, 274, 991, 1472, 476, 12010, 268, 1911, 271, 8477, 513, 1554, 269, 21989, 1063, 519, 6502, 540, 476, 275, 543, 476, 1724, 991, 1472, 476, 6344, 271, 268, 8182, 271, 8477, 513, 1554, 269, 27258, 991, 1472, 476, 13301, 271, 268, 5197, 271, 8477, 513, 1554, 563, 9773, 12929, 19231, 568, 711, 15695, 585, 3214, 543, 849, 1058, 711, 581, 2944, 1510, 2673, 5464, 269, 5753, 991, 3063, 8477, 547, 1020, 269, 715, 26798, 19518, 543, 4057, 2208, 666, 1267, 689, 13385, 1426, 6981, 563, 21430, 946, 540, 6726, 2209, 585, 13379, 13809, 454, 763, 946, 540, 18185, 454, 763, 1655, 1505, 547, 3313, 707, 17811, 4170, 568, 547, 5635, 519, 1297, 540, 8477, 596, 8532, 547, 519, 1297, 540, 8477, 596, 6633, 269, 11109, 1932, 1082, 8477, 786, 1118, 596, 2744, 2597, 269, 700, 3151, 8477, 5012, 547, 2597, 5786, 563, 1607, 9498, 568, 5497, 547, 1683, 1702, 269, 898, 779, 3810, 5227, 547, 13182, 609, 707, 4387, 1354, 1818, 1022, 1713, 2242, 547, 707, 1169, 1554, 17811, 6981, 563, 9773, 12929, 10203, 3322, 1079, 3268, 912, 268, 12433, 2659, 645, 17307, 630, 15368, 531, 5450, 20326, 15580, 994, 763, 631, 858, 4802, 21178, 8614, 528, 9498, 610, 3830, 568, 4749, 1031, 676, 2123, 19393, 269, 1280, 1312, 2367, 543, 2021, 267, 621, 568, 3982, 269, 1280, 2597, 543, 4463, 267, 596, 1590, 946, 13532, 543, 17744, 267, 6606, 563, 763, 4542, 585, 9038, 568, 607, 5205, 912, 13696, 305, 815, 630, 1015, 1535, 2597, 264, 1341, 630, 277, 269, 1839, 1535, 4463, 264, 1107, 630, 276, 1535, 2085, 264, 1341, 476, 276, 454, 13436, 4542, 10039, 547, 2021, 912, 13696, 305, 815, 630, 1015, 1535, 2597, 264, 1341, 630, 277, 269, 1839, 1535, 4463, 264, 1107, 630, 276, 1535, 2085, 264, 1107, 476, 14065, 454, 268, 12433, 707, 11192, 11545, 6052, 5890, 754, 8132, 630, 31813, 7417, 994, 7312, 645, 17307, 1058, 581, 16611, 676, 519, 1697, 26969, 5336, 322, 288, 6113, 548, 2188, 2899, 596, 723, 7229, 621, 912, 268, 20767, 23358, 630, 5591, 3635, 7132, 11380, 2816, 264, 815, 476, 272, 269, 273, 454, 268, 590, 2775, 569, 15765, 630, 272, 1700, 274, 2395, 829, 3018, 540, 1769, 2534, 264, 815, 476, 272, 269, 23841, 454, 268, 2368, 6343, 15765, 630, 274, 268, 276, 2395, 829, 3018, 540, 9793, 2534, 264, 815, 476, 272, 269, 4649, 454, 268, 15020, 15765, 630, 323, 2905, 267, 476, 277, 268, 278, 3108, 540, 24526, 2534, 264, 815, 476, 272, 269, 278, 1839, 454, 268, 1401, 4003, 958, 3742, 630, 18314, 3232, 23736, 264, 815, 476, 272, 269, 280, 454, 7312, 3232, 1608, 7595, 10421, 568, 5462, 676, 519, 1297, 602, 2164, 563, 21093, 547, 2659, 26758, 13379, 454, 268, 21079, 2659, 2836, 12929, 2271, 820, 547, 700, 846, 13379, 454, 2252, 596, 1616, 547, 6336, 2597, 538, 513, 4264, 1259, 267, 596, 991, 547, 3548, 1447, 982, 596, 6633, 1055, 269, 1280, 1383, 267, 513, 11013, 540, 1560, 3170, 568, 476, 12573, 271, 8477, 269, 1924, 267, 952, 596, 1616, 547, 6336, 476, 12573, 271, 8477, 538, 513, 3018, 267, 596, 991, 547, 723, 513, 3232, 17811, 17211, 540, 827, 476, 4335, 8477, 563, 2690, 513, 12353, 2597, 2530, 540, 476, 273, 268, 274, 6550, 267, 621, 568, 5227, 547, 2569, 835, 779, 3232, 1608, 7595, 6981, 676, 476, 1911, 271, 268, 5611, 271, 8477, 538, 1931, 547, 3035, 513, 17211, 269, 901, 2597, 5786, 1544, 3252, 1655, 950, 596, 3548, 7864, 8477, 543, 3635, 22991, 563, 9827, 3367, 2433, 1215, 649, 666, 2569, 938, 2597, 538, 2110, 12732, 540, 942, 563, 268, 10925, 593, 2597, 454, 5415, 2188, 979, 883, 18532, 2597, 2333, 982, 3274, 10438, 811, 8477, 269, 634, 5354, 540, 1004, 945, 993, 5461, 538, 11543, 2597, 2832, 547, 2333, 741, 10709, 4887, 2527, 269, 9453, 8516, 267, 596, 3112, 2347, 713, 269, 2274, 534, 2527, 540, 6091, 666, 1152, 581, 2919, 998, 2597, 331, 14823, 543, 513, 2635, 2732, 563, 2252, 596, 2333, 707, 3232, 17811, 6981, 676, 1063, 476, 4335, 543, 476, 1911, 271, 8477, 267, 596, 666, 18783, 11543, 835, 547, 1079, 6550, 1142, 3018, 269, 9861, 811, 15061, 609, 707, 3606, 8477, 786, 948, 596, 2226, 513, 1970, 19483, 1247, 3478, 10709, 269, 6333, 707, 10865, 4887, 2208, 547, 581, 1100, 811, 982, 835, 547, 1079, 6550, 563, 268, 5901, 909, 707, 2597, 454, 7312, 1985, 4305, 568, 4509, 707, 1699, 2597, 267, 7488, 540, 2436, 596, 6336, 610, 2744, 2597, 269, 634, 1655, 1505, 547, 3914, 543, 1832, 606, 3617, 2597, 568, 547, 10502, 3950, 707, 1608, 7595, 6981, 269, 29283, 540, 2635, 3536, 1058, 1267, 538, 8519, 14000, 533, 836, 338, 543, 519, 4390, 547, 8532, 1697, 5666, 540, 1426, 269, 6480, 1493, 707, 3232, 1608, 7595, 4170, 543, 2119, 547, 3548, 2614, 547, 1832, 707, 2597, 607, 621, 568, 563, 9773, 12929, 10203, 568, 711, 2556, 547, 1489, 2597, 2359, 950, 1818, 1507, 11941, 899, 2220, 6260, 17811, 11656, 3536, 585, 1970, 23343, 12929, 3283, 269, 12989, 2016, 616, 930, 2500, 2409, 547, 28489, 1524, 1510, 17811, 10203, 563, 268, 3117, 2541, 811, 3940, 543, 14312, 19719, 543, 3170, 454, 30696, 593, 4189, 513, 7059, 2732, 602, 2882, 7899, 540, 10709, 16469, 267, 2898, 9274, 267, 543, 2635, 9600, 269, 634, 6775, 1543, 543, 519, 3668, 540, 21187, 786, 5512, 596, 547, 1831, 811, 1140, 25293, 547, 707, 14000, 543, 6175, 707, 6159, 1324, 585, 1426, 563, 9827, 3367, 2433, 5253, 547, 2285, 909, 1282, 2597, 2530, 563, 268, 23423, 4568, 543, 24494, 10425, 454, 19617, 2730, 1919, 666, 2270, 3063, 1648, 269, 2353, 23931, 543, 6653, 10425, 3335, 723, 24631, 8477, 269, 2659, 12536, 568, 849, 30281, 676, 4568, 256, 7799, 1746, 707, 6981, 540, 5277, 8477, 547, 835, 610, 1079, 32122, 513, 3018, 568, 513, 8797, 1505, 547, 2759, 8477, 563, 268, 21561, 707, 1216, 6981, 454, 7021, 3368, 540, 513, 1268, 779, 26430, 568, 1500, 909, 540, 1216, 269, 2659, 10307, 11081, 950, 13204, 3603, 269, 4340, 547, 1382, 267, 10307, 543, 707, 2534, 1377, 666, 581, 17672, 676, 9561, 1175, 476, 272, 260, 547, 476, 273, 260, 540, 519, 1560, 2527, 563, 763, 2298, 540, 707, 2732, 543, 519, 7274, 540, 2534, 596, 1205, 786, 3313, 707, 2489, 1072, 269, 2659, 6700, 17811, 6981, 568, 6766, 676, 707, 3023, 267, 2085, 267, 10709, 1560, 2527, 267, 2597, 543, 4463, 269, 0, 294, 2752, 29368, 3201, 14888, 12359, 553, 22176, 329, 663, 549, 454, 31339, 4104, 3382, 2360 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1015, 476, 736, 476, 1789, 476, 2412, 476, 2004, 476, 2568, 476, 3583, 476, 3199, 454, 272, 27798, 7894, 1535, 476, 272, 267, 1822, 267, 1822, 454, 300, 454, 320, 454, 333, 454, 340, 454, 325, 454, 320, 454, 322, 454, 339, 454, 340, 454, 337, 454, 328, 454, 333, 454, 326, 454, 13045, 294, 454, 291, 454, 303, 454, 4047, 9898, 5308, 290, 3633, 3008, 12087, 14510, 476, 1691, 454, 294, 7894, 454, 26214, 589, 631, 454, 284, 476, 271, 269, 6245, 1341, 476, 276, 3451, 454, 294, 7894, 454, 272, 454, 305, 454, 273, 454, 284, 476, 271, 269, 6349, 630, 279, 269, 866, 994, 263, 271, 269, 25171, 264, 630, 279, 6078, 994, 5575, 267, 4063, 602, 519, 7447, 540, 519, 11664, 540, 12654, 568, 1454, 519, 1482, 538, 519, 1614, 1036, 11306, 912, 271, 269, 3707, 267, 476, 271, 269, 9264, 267, 543, 476, 271, 269, 6245, 630, 8145, 1897, 602, 621, 3587, 519, 18448, 950, 18440, 998, 676, 519, 2473, 454, 19702, 762, 1040, 2290, 1131, 711, 2503, 10565, 10593, 2094, 10636, 657, 1027, 2880, 640, 1281, 711, 2285, 4473, 547, 9186, 563, 763, 3934, 1807, 538, 519, 3791, 7447, 1058, 723, 519, 10545, 13065, 543, 4061, 11129, 547, 723, 513, 454, 339, 754, 1890, 547, 581, 519, 1034, 4977, 269, 12344, 19599, 267, 922, 3044, 5470, 568, 519, 4102, 267, 855, 1287, 519, 454, 20598, 6959, 538, 519, 1101, 1079, 1036, 11306, 1058, 581, 23304, 12023, 1317, 789, 616, 23380, 730, 676, 519, 454, 515, 614, 657, 1027, 2880, 640, 563, 1103, 713, 2203, 519, 18448, 1281, 711, 723, 1022, 24534, 2804, 7664, 269, 769, 1022, 2013, 922, 454, 652, 1493, 538, 519, 3791, 3830, 267, 1141, 621, 814, 1831, 519, 11664, 540, 476, 272, 27798, 7894, 267, 568, 711, 3648, 454, 18528, 5166, 689, 476, 271, 269, 634, 1152, 7805, 1966, 609, 519, 3791, 2203, 568, 602, 681, 454, 273, 454, 529, 1360, 1970, 269, 1284, 786, 454, 15239, 15035, 17738, 454, 295, 2678, 657, 1027, 2880, 640, 267, 610, 5310, 7805, 10636, 657, 1027, 2444, 640, 267, 949, 581, 513, 12343, 540, 4413, 29347, 4328, 519, 454, 16347, 28879, 269, 14597, 602, 519, 3020, 2203, 568, 22357, 267, 585, 1383, 454, 341, 2473, 962, 454, 273, 454, 272, 454, 15512, 454, 15512, 630, 279, 269, 736, 994, 5976, 630, 1721, 19160, 540, 4661, 264, 16061, 454, 272, 454, 663, 16061, 454, 273, 454, 27168, 865, 602, 962, 568, 606, 2810, 1599, 540, 2473, 269, 634, 454, 20123, 328, 2364, 894, 19717, 2165, 642, 814, 519, 1198, 540, 2810, 610, 4227, 962, 676, 513, 4351, 8167, 563, 22428, 602, 519, 5506, 3892, 540, 642, 568, 519, 1482, 585, 782, 7422, 269, 901, 10522, 267, 585, 454, 9987, 267, 602, 519, 5506, 540, 513, 476, 276, 2600, 2333, 610, 6175, 538, 962, 1813, 547, 922, 2360, 568, 1175, 519, 1482, 454, 15290, 2473, 568, 1507, 607, 950, 2473, 568, 1804, 269, 1717, 267, 538, 6207, 2474, 513, 476, 276, 2600, 2333, 814, 513, 3677, 1198, 454, 517, 962, 950, 2473, 568, 1804, 982, 950, 2473, 568, 1507, 269, 1403, 962, 568, 28367, 1996, 2473, 267, 519, 14649, 540, 7422, 786, 454, 11004, 1150, 4043, 547, 581, 811, 4922, 24797, 827, 519, 3020, 2078, 607, 2473, 4679, 267, 543, 513, 5276, 454, 2958, 1833, 540, 962, 593, 2473, 949, 4061, 8858, 10636, 657, 1027, 2880, 640, 563, 763, 3070, 267, 540, 1576, 267, 568, 547, 2196, 513, 32568, 9695, 3079, 912, 8421, 962, 815, 2845, 16061, 454, 272, 454, 266, 16061, 454, 273, 454, 8421, 2473, 1341, 2845, 642, 630, 279, 269, 2641, 994, 8253, 1152, 1131, 713, 581, 513, 811, 3617, 6310, 20487, 267, 855, 621, 2306, 519, 9695, 454, 16347, 4630, 657, 1027, 2880, 269, 2845, 642, 1631, 5540, 519, 8200, 4756, 267, 2845, 962, 267, 19605, 569, 267, 865, 519, 6207, 2450, 454, 1993, 922, 1198, 568, 4830, 540, 519, 9588, 540, 2845, 2473, 563, 8201, 476, 279, 269, 278, 2982, 519, 30233, 540, 5663, 3977, 28367, 1996, 519, 30233, 540, 12654, 454, 6748, 519, 1239, 538, 7305, 476, 279, 269, 272, 269, 2311, 1101, 8289, 693, 2547, 267, 519, 4729, 1281, 711, 2408, 547, 8858, 454, 515, 614, 657, 1027, 2880, 640, 269, 8298, 15162, 6193, 1036, 11306, 1210, 519, 7449, 3263, 540, 476, 1556, 2477, 609, 10545, 543, 454, 24030, 652, 12654, 6556, 15895, 18304, 540, 10945, 476, 273, 269, 1691, 543, 476, 272, 269, 6860, 267, 6606, 269, 769, 713, 2013, 519, 6671, 454, 20112, 26709, 1700, 5226, 663, 339, 1449, 568, 15988, 1663, 748, 269, 4595, 519, 2034, 681, 7704, 568, 4130, 982, 519, 1101, 267, 621, 3112, 581, 454, 338, 20138, 14688, 3152, 269, 1717, 519, 7108, 26709, 1700, 5226, 663, 339, 1449, 666, 849, 581, 1031, 547, 1449, 585, 454, 515, 614, 657, 1027, 2880, 640, 1141, 519, 3044, 11539, 540, 519, 3892, 540, 519, 19717, 2165, 568, 11201, 569, 454, 4047, 9898, 5308, 290, 3633, 3008, 12087, 14510, 476, 1428, 454, 8201, 476, 279, 269, 278, 563, 2889, 1636, 1308, 547, 519, 2450, 540, 519, 2473, 4756, 269, 634, 674, 18802, 568, 519, 1482, 267, 609, 681, 7704, 454, 272, 454, 273, 454, 5793, 577, 6548, 269, 769, 519, 1459, 2013, 519, 674, 18802, 952, 476, 273, 269, 6187, 267, 799, 568, 2539, 982, 519, 2565, 1871, 540, 674, 693, 454, 1492, 476, 276, 2600, 1377, 267, 543, 649, 798, 711, 7947, 519, 14275, 8367, 540, 4630, 657, 1027, 2880, 640, 269, 26121, 519, 454, 2958, 1833, 609, 519, 2347, 3732, 267, 649, 3489, 630, 20598, 6959, 538, 24324, 2187, 3198, 308, 631, 454, 24994, 454, 8421, 815, 1107, 272, 269, 7597, 275, 1341, 271, 269, 15886, 2845, 12654, 681, 454, 273, 454, 284, 476, 271, 269, 3445, 630, 279, 269, 2420, 994, 263, 271, 269, 4281, 276, 264, 630, 271, 269, 271, 5780, 994, 11069, 2391, 602, 519, 22786, 540, 631, 3198, 308, 609, 2463, 547, 12654, 568, 3160, 547, 476, 272, 563, 2171, 1631, 723, 1079, 3631, 1863, 689, 10636, 657, 1027, 2880, 640, 267, 630, 279, 269, 866, 264, 543, 630, 279, 269, 2420, 1040, 634, 8545, 1522, 3100, 454, 3467, 25685, 267, 2016, 602, 621, 814, 513, 1360, 1164, 681, 454, 273, 454, 663, 630, 279, 269, 866, 264, 513, 1360, 1970, 835, 267, 855, 538, 1249, 267, 538, 713, 454, 4820, 7781, 2013, 267, 789, 4755, 547, 581, 6697, 269, 630, 279, 269, 2420, 264, 568, 10213, 721, 602, 5663, 3977, 4679, 454, 2889, 15251, 958, 609, 12654, 538, 519, 3444, 16687, 540, 2477, 538, 519, 3732, 269, 769, 824, 1913, 2676, 2006, 3011, 1005, 3977, 6589, 585, 513, 3586, 8167, 540, 12654, 269, 1677, 960, 856, 713, 8167, 267, 649, 454, 4319, 1679, 519, 3830, 607, 454, 15886, 1547, 476, 271, 476, 4200, 1547, 476, 271, 476, 7597, 275, 1547, 476, 272, 454, 7277, 1547, 476, 271, 454, 24994, 454, 294, 7894, 12654, 552, 715, 308, 589, 631, 692, 263, 279, 269, 2537, 994, 263, 279, 269, 866, 264, 568, 10213, 721, 602, 519, 5223, 631, 3198, 308, 27798, 7894, 568, 3927, 513, 3586, 267, 2094, 519, 476, 272, 27798, 7894, 2165, 5526, 547, 454, 2041, 32118, 267, 543, 602, 519, 3586, 568, 476, 271, 269, 6245, 269, 9747, 538, 6219, 519, 12496, 14626, 728, 563, 19669, 779, 670, 2678, 657, 1027, 2880, 640, 4211, 976, 11962, 9208, 8210, 5558, 454, 2005, 666, 581, 3254, 602, 519, 2551, 13065, 540, 519, 9386, 11664, 538, 513, 2241, 744, 11862, 9695, 609, 513, 454, 515, 614, 657, 1027, 2880, 19717, 2165, 568, 2016, 676, 454, 278, 454, 279, 454, 280, 454, 1015, 454, 1556, 454, 1321, 454, 1724, 454, 280, 476, 1015, 476, 1556, 476, 1321, 476, 1724, 476, 1691, 476, 1428, 454, 8421, 12654, 454, 331, 454, 334, 454, 326, 692, 300, 454, 320, 454, 333, 454, 340, 454, 325, 454, 320, 454, 322, 454, 339, 454, 340, 454, 337, 454, 328, 454, 333, 454, 326, 692, 334, 454, 340, 454, 339, 454, 335, 454, 340, 454, 339, 454, 4047, 9898, 5308, 290, 3633, 3008, 12087, 14510, 476, 1626, 454, 264, 630, 24430, 454, 272, 454, 273, 454, 273, 454, 5357, 306, 454, 273, 454, 311, 562, 454, 342, 454, 333, 454, 328, 454, 340, 1775, 454, 321, 454, 328, 692, 17385, 454, 17385, 630, 279, 269, 2190, 994, 3602, 454, 273, 454, 328, 454, 340, 454, 17385, 568, 519, 13065, 540, 519, 19717, 2165, 538, 8343, 1775, 543, 530, 454, 328, 454, 267, 922, 2597, 538, 519, 19362, 267, 568, 454, 326, 1508, 676, 692, 333, 454, 329, 454, 329, 454, 328, 454, 328, 454, 311, 2473, 454, 311, 2473, 454, 342, 454, 272, 454, 273, 454, 273, 454, 264, 27210, 264, 27210, 263, 279, 269, 1839, 994, 19669, 630, 2735, 271, 264, 7152, 602, 513, 5812, 3934, 1807, 540, 454, 273, 454, 5357, 306, 454, 273, 454, 321, 454, 17385, 568, 5833, 952, 519, 16302, 15895, 538, 454, 10849, 3569, 1775, 568, 1031, 607, 606, 3934, 1807, 540, 454, 273, 454, 328, 454, 340, 454, 17385, 1547, 4935, 538, 513, 3510, 1141, 10636, 657, 1027, 2880, 640, 568, 16143, 2676, 8117, 972, 568, 711, 2614, 1344, 547, 2697, 922, 2470, 267, 621, 568, 2009, 547, 7753, 519, 1966, 540, 454, 26330, 3044, 6959, 267, 693, 2547, 538, 1804, 5439, 267, 543, 519, 512, 4255, 543, 674, 4255, 616, 29297, 582, 1227, 4570, 563, 10521, 2798, 267, 991, 547, 581, 6854, 538, 2247, 267, 2705, 269, 2290, 568, 602, 267, 4352, 519, 6519, 3934, 1807, 568, 5812, 2676, 527, 949, 711, 1685, 1134, 538, 13113, 5439, 630, 21547, 298, 4883, 517, 543, 6519, 267, 476, 2735, 276, 1040, 634, 824, 568, 602, 519, 744, 11862, 454, 652, 574, 2209, 2611, 28537, 563, 1692, 5395, 1190, 3657, 519, 31664, 540, 670, 2678, 657, 1027, 2880, 640, 888, 1607, 786, 4096, 593, 519, 2470, 540, 519, 10636, 657, 1027, 2880, 640, 543, 972, 616, 1100, 2489, 3652, 269, 769, 519, 2013, 540, 454, 1492, 10636, 657, 1027, 2880, 640, 13269, 538, 7612, 476, 279, 269, 274, 267, 1141, 519, 3044, 11539, 540, 519, 19717, 2165, 568, 454, 2889, 1636, 1308, 547, 2473, 543, 519, 2418, 540, 2473, 616, 519, 9981, 689, 476, 276, 547, 476, 4510, 267, 519, 2551, 13065, 540, 519, 744, 11862, 454, 652, 574, 1807, 540, 519, 9386, 11664, 568, 5111, 5595, 602, 540, 519, 3934, 1807, 1210, 3830, 630, 279, 269, 1724, 13211, 3602, 519, 10636, 657, 1027, 2880, 640, 814, 1044, 17515, 676, 12270, 998, 676, 2473, 269, 4329, 267, 519, 3044, 454, 518, 5558, 540, 519, 744, 11862, 3934, 2209, 616, 19765, 13846, 267, 4758, 513, 22801, 12705, 540, 519, 8856, 540, 454, 1492, 744, 11862, 14170, 563, 2750, 2075, 2478, 454, 279, 269, 276, 634, 11001, 5018, 538, 11644, 476, 279, 269, 272, 8255, 519, 1739, 1036, 11306, 607, 4244, 454, 14588, 322, 5874, 540, 1200, 2203, 630, 20598, 6959, 538, 24324, 2187, 303, 454, 296, 454, 24994, 454, 284, 1107, 271, 269, 6734, 454, 303, 454, 272, 454, 1700, 476, 271, 269, 7597, 454, 303, 454, 294, 454, 266, 476, 271, 269, 4097, 454, 303, 454, 312, 454, 305, 454, 273, 454, 284, 476, 271, 269, 9032, 630, 272, 994, 263, 271, 269, 2764, 264, 630, 271, 269, 1626, 264, 630, 271, 269, 6734, 994, 312, 454, 296, 454, 24994, 454, 284, 476, 271, 269, 4375, 1341, 476, 271, 269, 6734, 454, 312, 454, 272, 454, 1700, 476, 271, 269, 11152, 454, 312, 454, 294, 454, 305, 454, 273, 454, 284, 476, 271, 269, 4281, 630, 273, 994, 263, 271, 269, 6860, 264, 630, 271, 269, 5655, 264, 630, 271, 269, 2420, 994, 4047, 9898, 5308, 290, 3633, 3008, 12087, 14510, 476, 1704, 454, 296, 575, 24994, 3138, 815, 1107, 273, 269, 4510, 1107, 476, 271, 269, 8287, 2845, 717, 1341, 476, 272, 269, 2568, 2845, 962, 681, 454, 273, 454, 284, 476, 271, 269, 7176, 630, 274, 994, 263, 271, 269, 2918, 264, 630, 271, 269, 1321, 264, 630, 271, 269, 1321, 994, 9515, 12204, 519, 3732, 676, 962, 18025, 267, 717, 270, 312, 267, 543, 2845, 962, 267, 6606, 267, 543, 538, 1142, 2013, 8255, 519, 9695, 454, 28785, 585, 519, 7449, 3263, 540, 540, 7422, 609, 519, 476, 1556, 10545, 543, 476, 1556, 6574, 2418, 540, 519, 454, 338, 15659, 4756, 269, 634, 15895, 18304, 540, 10945 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 7170, 281, 834, 295, 8503, 543, 19088, 1108, 281, 589, 8342, 17714, 3414, 5384, 609, 932, 1241, 543, 17722, 15323, 5970, 596, 2479, 4862, 540, 519, 26704, 1298, 4768, 3957, 932, 1241, 286, 2578, 320, 2720, 616, 7068, 689, 5259, 13299, 602, 723, 519, 5580, 1560, 540, 513, 1480, 543, 519, 2539, 1560, 540, 513, 7504, 256, 4270, 267, 538, 713, 3184, 267, 649, 786, 6443, 932, 1241, 593, 1010, 3460, 998, 942, 607, 646, 11414, 513, 7911, 3957, 17722, 782, 827, 9640, 543, 741, 4241, 1686, 269, 1924, 521, 18150, 909, 267, 10544, 707, 9345, 267, 543, 1577, 781, 4685, 883, 713, 13858, 7045, 2439, 16524, 3516, 267, 972, 729, 513, 8797, 1298, 4768, 3957, 932, 1241, 945, 5030, 1282, 519, 2053, 540, 3504, 10255, 269, 1261, 1185, 6591, 3573, 1702, 936, 519, 5553, 267, 4742, 835, 540, 519, 1034, 15197, 7919, 1851, 3425, 267, 10971, 267, 543, 824, 25386, 7068, 269, 2290, 1554, 267, 1247, 9363, 693, 519, 22539, 5480, 540, 21546, 682, 674, 599, 267, 932, 1241, 10742, 513, 8049, 1762, 7911, 3957, 17722, 269, 22628, 17722, 781, 15131, 2509, 1565, 1007, 1919, 267, 2523, 827, 9640, 267, 932, 1241, 16976, 547, 2671, 1010, 7326, 609, 1864, 780, 4131, 721, 1376, 676, 1620, 1018, 2306, 513, 7504, 865, 2027, 269, 9894, 596, 917, 602, 9640, 4866, 547, 513, 1895, 1572, 1412, 3225, 1749, 10086, 799, 849, 2882, 18410, 30944, 543, 1810, 12399, 286, 1358, 616, 24549, 2803, 267, 2495, 789, 3548, 1152, 2371, 1107, 6140, 6371, 269, 3683, 6634, 540, 1296, 267, 891, 23836, 2831, 7960, 7258, 3425, 267, 8108, 7554, 6793, 982, 1022, 824, 2249, 11450, 2429, 1686, 269, 3245, 6283, 547, 6683, 267, 10617, 267, 5026, 267, 31070, 267, 543, 1256, 3797, 267, 9640, 5129, 1713, 5107, 2066, 1585, 4529, 5001, 780, 3086, 4952, 3843, 547, 512, 877, 971, 3532, 7068, 1394, 950, 1004, 1101, 3323, 6469, 908, 873, 1472, 3670, 8536, 1296, 3516, 256, 898, 7012, 1405, 2653, 282, 621, 3576, 9639, 267, 10100, 267, 543, 8990, 269, 4658, 4121, 875, 547, 5968, 609, 9640, 1210, 11029, 10291, 899, 5639, 12981, 267, 17267, 267, 543, 2604, 4294, 998, 887, 6647, 610, 556, 1231, 269, 17652, 2614, 267, 789, 4362, 2081, 547, 11878, 873, 9108, 267, 1818, 10707, 1454, 5488, 543, 3608, 269, 901, 14634, 4957, 7239, 11014, 267, 3850, 12977, 547, 4228, 3564, 6972, 3845, 543, 6679, 9885, 547, 4123, 5121, 1063, 1114, 4525, 780, 9961, 1686, 267, 1082, 9058, 2043, 2451, 741, 1665, 593, 1226, 652, 6929, 2528, 269, 1280, 3236, 267, 12138, 519, 4279, 267, 4535, 538, 476, 32579, 7460, 267, 22482, 5318, 11182, 14964, 1010, 11537, 2848, 539, 11370, 21306, 639, 269, 4256, 6125, 2968, 19416, 267, 29544, 14017, 543, 3972, 1063, 812, 543, 7504, 269, 6271, 1383, 2501, 689, 3624, 1282, 519, 19358, 19092, 630, 277, 1240, 1700, 3445, 278, 5084, 1070, 1141, 26348, 5340, 6946, 1035, 13681, 1738, 25224, 338, 593, 7504, 3724, 1634, 607, 834, 1817, 572, 818, 30987, 2437, 15386, 6909, 5578, 543, 8856, 269, 1452, 2984, 6273, 5481, 267, 5935, 1148, 267, 3332, 267, 2575, 267, 543, 5389, 4478, 9640, 780, 2026, 932, 1241, 3838, 891, 8941, 609, 17722, 267, 646, 7948, 1405, 948, 855, 1745, 9599, 827, 3695, 1169, 2460, 540, 9640, 910, 741, 8129, 267, 4720, 267, 3347, 609, 3425, 267, 2686, 4644, 267, 543, 811, 269, 1809, 3314, 267, 15210, 5467, 267, 1175, 1317, 649, 798, 711, 2661, 10838, 9589, 7919, 899, 932, 1241, 3085, 1405, 1611, 649, 3112, 7832, 593, 2147, 9035, 269, 1635, 2542, 2835, 267, 9683, 15882, 267, 11504, 15872, 267, 8384, 32026, 267, 610, 3274, 11287, 9640, 5702, 267, 596, 1932, 666, 1451, 3407, 4245, 543, 5660, 519, 5898, 540, 891, 15999, 7068, 780, 1103, 3932, 267, 9640, 3180, 513, 2189, 1747, 538, 1312, 2067, 1686, 543, 1480, 10340, 269, 10801, 942, 267, 789, 723, 6039, 607, 4891, 267, 2828, 267, 6698, 267, 543, 2959, 540, 6667, 269, 1656, 4352, 2029, 814, 10169, 21022, 741, 4052, 3096, 267, 4986, 19776, 547, 519, 7772, 540, 1373, 2282, 513, 7504, 267, 4743, 922, 4222, 543, 11419, 896, 707, 31840, 269, 3807, 2307, 17722, 267, 4171, 22906, 3366, 1864, 1524, 513, 2619, 4904, 609, 4898, 618, 543, 6602, 269, 9320, 14693, 4166, 267, 596, 1522, 1265, 3054, 3257, 519, 1482, 3364, 269, 8414, 18162, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 7504, 4023, 1315, 676, 6276, 25930, 7773, 563, 268, 1715, 3840, 2433, 634, 11416, 7577, 267, 476, 6245, 280, 563, 314, 6124, 3840, 316, 2433, 634, 1546, 15550, 928, 4964, 454, 268, 8447, 13517, 912, 268, 2073, 476, 275, 1240, 3817, 2433, 12383, 6902, 476, 2420, 4699, 454, 268, 27824, 7734, 543, 2494, 11245, 338, 4916, 10755, 280, 11065, 3374, 670, 6858, 476, 6245, 280, 312, 1446, 4741, 585, 3703, 3203, 267, 6754, 631, 749, 517, 14635, 8698, 676, 7662, 538, 519, 5530, 18740, 1496, 26473, 652, 2639, 9616, 281, 634, 5530, 18740, 568, 1930, 676, 13393, 269, 7490, 3643, 519, 5530, 18740, 2985, 593, 938, 3896, 585, 811, 3877, 563, 268, 14645, 21073, 912, 268, 14645, 3502, 10159, 18050, 454, 268, 16503, 5928, 676, 7665, 674, 269, 21890, 3899, 543, 22735, 22642, 563, 7468, 5793, 781, 3948, 689, 2357, 810, 540, 2140, 2985, 563, 5575, 3370, 538, 476, 6245, 276, 563, 289, 3722, 281, 3703, 3203, 4741, 5299, 3808, 538, 17404, 781, 581, 15607, 12308, 269, 6178, 539, 538, 12377, 281, 6754, 966, 269, 25303, 267, 476, 5002, 271, 269, 3883, 31805, 781, 6003, 281, 634, 654, 12537, 7701, 7577, 563, 2419, 1241, 267, 19497, 540, 3504, 10255, 543, 1631, 538, 519, 5480, 540, 21546, 519, 674, 599, 267, 6645, 22361, 760, 827, 519, 1686, 540, 519, 7504, 563, 268, 13595, 16301, 912, 268, 5753, 4534, 18430, 540, 1272, 4534, 19565, 5708, 269, 2419, 1241, 630, 31528, 1250, 327, 1108, 264, 4534, 19565, 5708, 12171, 4202, 4534, 19565, 5708, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 5403, 8862, 541, 4317, 7827, 11470, 692, 8702, 267, 1762, 3988, 256, 4653, 649, 2811, 2469, 547, 5490, 883, 606, 3078, 1158, 540, 2022, 21351, 1514, 1689, 5708, 269, 901, 1826, 540, 3332, 729, 2854, 538, 519, 4571, 3562, 2000, 622, 476, 736, 628, 2540, 267, 1318, 1310, 2622, 2782, 4083, 8694, 269, 4438, 713, 942, 267, 7239, 1472, 519, 1158, 4682, 998, 1713, 14759, 1813, 547, 1585, 2188, 899, 6639, 7760, 267, 3540, 2924, 5322, 267, 543, 14051, 269, 1306, 4589, 4767, 543, 4810, 891, 2242, 267, 789, 3459, 547, 2328, 9159, 2984, 10452, 1346, 10593, 269, 1452, 9089, 948, 721, 1174, 875, 1004, 781, 2729, 267, 4978, 267, 543, 2950, 7960, 1282, 713, 6422, 1974, 780, 4131, 781, 2263, 930, 1898, 2609, 1336, 538, 2022, 21351, 1514, 1689, 5708, 1384, 272, 269, 16992, 609, 8076, 9739, 281, 2290, 1883, 4183, 540, 713, 9135, 568, 922, 1445, 593, 8723, 2043, 945, 3068, 9058, 6381, 4547, 827, 676, 6848, 7004, 269, 1635, 3695, 3197, 685, 4555, 267, 4606, 267, 543, 3527, 267, 596, 666, 1732, 10146, 741, 9620, 543, 29217, 1247, 10188, 1007, 2591, 4843, 676, 741, 4657, 10600, 780, 7078, 281, 6333, 1677, 23703, 589, 631, 20689, 676, 22489, 10557, 269, 5590, 538, 519, 1977, 3162, 1282, 519, 4279, 12870, 267, 621, 5205, 27533, 5685, 577, 267, 513, 1762, 8004, 3395, 909, 8015, 7292, 8082, 543, 8635, 269, 3414, 1200, 4064, 267, 649, 7198, 14882, 267, 10100, 267, 543, 5837, 2208, 1765, 718, 4798, 7184, 12082, 538, 3140, 2796, 780, 273, 269, 18366, 543, 6571, 281, 3509, 1568, 540, 2022, 21351, 1514, 1689, 5708, 5031, 7526, 16109, 689, 13346, 2686, 8155, 267, 2418, 267, 610, 2797, 3889, 269, 24167, 971, 13253, 2337, 7866, 519, 10848, 540, 2713, 538, 2053, 540, 4028, 1514, 4720, 269, 5047, 267, 4974, 875, 1114, 3197, 4431, 547, 14488, 2488, 3407, 4030, 883, 1480, 6043, 543, 13916, 780, 7078, 281, 7083, 2986, 634, 4469, 625, 676, 5261, 7108, 532, 6645, 519, 1650, 540, 3703, 8695, 18843, 539, 593, 606, 796, 514, 4725, 1243, 6532, 1739, 513, 7077, 16154, 269, 3683, 942, 267, 789, 3715, 741, 1378, 2486, 855, 4166, 13956, 883, 14784, 950, 2757, 3652, 24044, 547, 4019, 269, 901, 3209, 14550, 875, 1379, 6384, 543, 1895, 2623, 666, 1711, 4655, 1256, 1851, 1453, 6569, 689, 2937, 15569, 780, 274, 269, 16709, 540, 3961, 543, 10362, 281, 6271, 2565, 2460, 540, 2022, 21351, 1514, 1689, 5708, 3322, 15819, 835, 781, 2631, 540, 1582, 1369, 6385, 4657, 5054, 269, 3718, 1419, 4983, 3197, 21679, 609, 2055, 4478, 2123, 3961, 267, 4008, 5107, 267, 4638, 10066, 267, 14940, 267, 610, 3084, 14336, 4800, 780, 7078, 281, 24305, 540, 774, 8974, 267, 670, 792, 3733, 595, 787, 676, 631, 843, 1042, 667, 269, 13177, 7740, 593, 519, 8298, 534, 1920, 267, 606, 3979, 12677, 8105, 28334, 6849, 10168, 543, 2804, 27465, 538, 14967, 1282, 519, 476, 4350, 271, 338, 269, 18706, 773, 267, 519, 16502, 267, 16137, 547, 6330, 1200, 1979, 24055, 6561, 1247, 7555, 909, 1996, 7130, 267, 3850, 3988, 547, 1921, 609, 1200, 3460, 2509, 1620, 1200, 1747, 538, 519, 1158, 780, 275, 269, 14506, 593, 6626, 8739, 27791, 2152, 281, 7053, 267, 1082, 4773, 540, 2022, 21351, 1514, 1689, 5708, 5401, 4514, 8086, 593, 3677, 1914, 19205, 4145, 7133, 3003, 2950, 610, 6082, 269, 12056, 609, 891, 5931, 6087, 15826, 7391, 3823, 1686, 267, 5126, 267, 7862, 267, 543, 3356, 780, 7078, 281, 634, 717, 1853, 676, 10753, 529, 8899, 787, 6799, 513, 29711, 1014, 2104, 1141, 7663, 8864, 12081, 338, 18678, 267, 2144, 2084, 8823, 540, 1928, 267, 7092, 267, 543, 4763, 269, 1879, 13744, 553, 267, 519, 1292, 1915, 267, 5956, 8391, 891, 26793, 8823, 267, 646, 1590, 13720, 5683, 844, 663, 2456, 827, 1367, 5191, 8957, 7104, 6617, 269, 901, 3209, 7512, 4901, 827, 29077, 267, 1852, 267, 543, 3903, 780, 1103, 5758, 267, 2022, 21351, 1514, 1689, 5708, 3091, 1647, 1153, 1053, 606, 4316, 547, 4497, 609, 8903, 6386, 1305, 1996, 519, 20457, 540, 7096, 3140, 2621, 269, 1635, 6313, 11541, 3197, 267, 10578, 7526, 267, 29293, 540, 3961, 267, 543, 18759, 593, 3376, 1514, 2152, 267, 596, 666, 1020, 6568, 267, 2565, 3206, 1983, 267, 543, 7071, 585, 938, 2479, 21608, 1158, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2254, 267, 519, 634, 4525, 723, 9472, 693, 14210, 13369, 1312, 1354, 543, 1310, 519, 3902, 267, 855, 789, 2408, 4357, 547, 2972, 476, 1001, 291, 16166, 4679, 543, 547, 524, 27827, 9763, 676, 22341, 6990, 607, 513, 2165, 540, 891, 1533, 23576, 2861, 269, 2334, 713, 568, 519, 2442, 29519, 538, 1893, 4083, 568, 593, 519, 1483, 4346, 602, 519, 946, 540, 14499, 568, 538, 5491, 6209, 585, 29227, 891, 8168, 1344, 10963, 269, 1403, 519, 634, 17826, 540, 30960, 10658, 329, 565, 538, 519, 2490, 540, 1592, 5012, 2813, 676, 519, 4346, 540, 3932, 267, 972, 786, 581, 513, 8880, 7802, 21997, 602, 666, 6521, 5497, 585, 538, 519, 2898, 11466, 269, 634, 10349, 786, 1224, 5701, 1927, 676, 519, 2984, 543, 17610, 569, 2663, 676, 519, 3270, 269, 634, 634, 17826, 540, 30960, 10658, 329, 565, 21651, 540, 8366, 538, 13061, 5159, 267, 27195, 3544, 602, 2463, 267, 12857, 1717, 267, 676, 519, 2147, 2186, 540, 519, 19496, 19985, 538, 1893, 1843, 1881, 689, 812, 269, 476, 1001, 280, 282, 11913, 5863, 1576, 267, 855, 519, 3638, 543, 2009, 1587, 540, 11121, 28975, 538, 3368, 568, 267, 538, 519, 1184, 540, 891, 2442, 24616, 267, 1100, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8070, 8862, 541, 4317, 7827, 11470, 257, 607, 851, 540, 834, 11227, 1315, 8466, 1315, 476, 736, 628, 11416, 1315, 5403, 28131, 2782, 4083, 2668, 634, 1543, 1058 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 5042, 10196, 267, 14787, 267, 2845, 6509, 267, 2797, 6085, 1807, 267, 1514, 5126, 19191, 267, 543, 28020, 5219, 547, 607, 519, 4651, 540, 2413, 23316, 267, 932, 1682, 5652, 14439, 607, 15520, 6014, 855, 711, 3909, 569, 2616, 656, 269, 3571, 7214, 18697, 1445, 593, 1620, 1893, 11601, 543, 10404, 1944, 772, 2529, 269, 4914, 3609, 267, 1851, 824, 3584, 780, 4089, 476, 274, 281, 4208, 5530, 1530, 4788, 6014, 25827, 338, 2496, 6597, 3539, 16712, 6014, 30921, 666, 948, 721, 5660, 519, 4763, 1369, 519, 6014, 2146, 543, 8300, 721, 547, 2307, 2620, 2055, 827, 938, 1378, 2418, 543, 4978, 269, 1635, 6313, 741, 2729, 543, 7418, 267, 649, 666, 1732, 1174, 875, 1114, 1004, 6330, 1950, 2152, 899, 3961, 267, 5132, 267, 543, 1514, 5539, 269, 9578, 267, 891, 13009, 4565, 1794, 619, 1397, 721, 602, 4896, 666, 1118, 513, 3017, 538, 519, 1158, 267, 7488, 540, 741, 4282, 610, 4978, 780, 6962, 1384, 1103, 713, 1576, 1770, 267, 649, 8268, 519, 1523, 540, 16712, 6014, 30921, 267, 1565, 827, 741, 2189, 5380, 543, 1713, 5222, 593, 1585, 4610, 269, 3414, 4974, 5515, 899, 21877, 7108, 2006, 267, 15751, 18160, 267, 543, 3143, 600, 932, 1682, 5652, 267, 649, 4362, 875, 891, 2043, 1031, 741, 15421, 543, 18653, 547, 4161, 6848, 8155, 543, 12167, 585, 2318, 1689, 269, 1924, 3314, 267, 1100, 2339, 1141, 596, 2097, 689, 610, 1018, 596, 3494, 267, 707, 5639, 6927, 267, 543, 596, 1932, 666, 1118, 513, 3017, 538, 519, 1158, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8530, 7667, 759, 680, 754, 550, 1299, 588, 2075, 528, 17675, 2835, 267, 9089, 267, 6965, 2483, 1862, 602, 1100, 824, 17404, 4941, 267, 610, 546, 1563, 267, 547, 15476, 267, 2394, 1631, 1862, 630, 684, 1652, 789, 1705, 994, 1862, 602, 1100, 824, 17404, 4941, 267, 610, 546, 1563, 267, 547, 15476, 267, 2394, 1631, 1862, 630, 684, 1652, 789, 1705, 994, 2710, 551, 21218, 540, 24051, 1042, 267, 3487, 594, 281, 14640, 4149, 30146, 676, 26277, 1961, 700, 518, 1195, 5174, 324, 4954, 24586, 630, 4696, 476, 7277, 273, 268, 4489, 273, 264, 729, 8385, 3370, 538, 476, 5002, 273, 267, 896, 519, 3943, 2140, 540, 15776, 1684, 551, 21218, 632, 554, 12578, 281, 561, 390, 376, 21468, 1606, 2946, 2466, 1143, 324, 267, 561, 390, 376, 21468, 3491, 11687, 656, 1143, 324, 267, 561, 390, 376, 21468, 12641, 2946, 3740, 1143, 324, 563, 2304, 520, 1961, 700, 518, 1195, 5174, 324, 4954, 24586, 729, 513, 3943, 14787, 543, 1557, 626, 269, 1306, 513, 8026, 4168, 267, 646, 729, 538, 3870, 540, 519, 9668, 540, 5783, 543, 3557, 269, 1261, 729, 519, 2063, 7022, 540, 519, 2817, 13477, 18830, 16183, 1143, 267, 606, 7681, 8547, 538, 476, 6642, 277, 7620, 547, 8396, 4550, 12641, 518, 673, 1143, 543, 25847, 269, 7971, 1227, 513, 12666, 267, 538, 1840, 547, 1373, 513, 3943, 26934, 267, 700, 518, 1195, 5174, 324, 4954, 24586, 729, 10353, 547, 4550, 5498, 2466, 1143, 269, 4935, 713, 1433, 267, 799, 1223, 723, 3362, 1044, 13886, 968, 1432, 568, 14640, 4149, 30146, 18313, 17457, 3988, 1058, 1935, 713, 1433, 1447, 607, 513, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20376, 983, 6014, 25827, 338, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 6014, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5629, 2390, 513, 942, 267, 972, 729, 513, 1373, 689, 1776, 4541, 3957, 7585, 945, 1185, 1175, 8452, 593, 3047, 269, 1261, 729, 9599, 547, 2263, 713, 1007, 1158, 543, 922, 11317, 267, 1634, 607, 3425, 269, 2290, 1554, 267, 1247, 29595, 1472, 267, 646, 3357, 2066, 513, 1804, 2679, 4904, 609, 782, 12204, 540, 9490, 3937, 543, 1004, 7900, 8966, 5322, 269, 30985, 267, 7585, 4682, 3330, 543, 4362, 621, 729, 513, 1747, 1572, 513, 15547, 19063, 1756, 1141, 3425, 4682, 547, 3635, 543, 1404, 5026, 780, 288, 2186, 1480, 14059, 7585, 543, 6045, 602, 519, 7328, 789, 941, 8026, 729, 1572, 7499, 27590, 10415, 269, 634, 1480, 4951, 7585, 7044, 540, 9845, 7900, 11141, 905, 1846, 971, 607, 1166, 2354, 543, 23538, 998, 519, 2011, 267, 3666, 11237, 13467, 267, 543, 3532, 29256, 338, 269, 7585, 14478, 538, 993, 10270, 618, 607, 891, 3425, 6410, 609, 11419, 543, 8856, 267, 1210, 1312, 741, 5580, 1560, 543, 2539, 1560, 6091, 547, 2347, 1142, 5578, 780, 257, 1692, 798, 789, 798, 602, 8119, 7585, 4280, 519, 1480, 780, 763, 1480, 14452, 267, 834, 2005, 3217, 1296, 540, 2259, 543, 11428, 269, 26465, 525, 1628, 909, 741, 4222, 676, 3257, 5751, 899, 7903, 13522, 543, 7485, 13522, 267, 2324, 593, 741, 8112, 267, 543, 1565, 875, 547, 1852, 741, 4703, 3010, 7692, 8068, 602, 930, 540, 519, 1983, 2838, 8066, 13514, 610, 3001, 7444, 267, 1247, 1866, 3238, 2656, 28377, 540, 1648, 269, 834, 3963, 798, 789, 1847, 8335, 538, 1114, 2694, 540, 741, 6296, 8119, 646, 4280, 780, 763, 1480, 6045, 267, 834, 2467, 616, 1079, 2010, 540, 1648, 1949, 602, 3425, 946, 950, 16706, 269, 1879, 7900, 23292, 5322, 899, 26357, 543, 512, 22824, 10596, 267, 789, 7048, 593, 741, 26103, 1062, 267, 799, 3096, 6740, 1648, 3533, 1510, 8506, 5135, 269, 1280, 14887, 267, 13455, 2238, 899, 13326, 593, 519, 11237, 267, 789, 8415, 741, 20659, 1062, 267, 799, 12346, 593, 5135, 547, 3132, 1648, 936, 513, 3476, 1974, 540, 942, 3010, 4504, 29098, 267, 7585, 4956, 547, 2119, 1010, 1688, 630, 528, 2864, 267, 16289, 1137, 264, 693, 930, 540, 519, 27590, 10415, 1983, 269, 2060, 5583, 689, 519, 1480, 267, 646, 13986, 930, 2596, 7575, 899, 4464, 20061, 543, 7047, 20253, 1564, 269, 4014, 4101, 267, 7585, 1336, 7772, 538, 11319, 5128, 547, 2087, 543, 1020, 1007, 5759, 780, 2026, 7585, 4797, 3695, 1585, 5026, 543, 16351, 2238, 593, 3047, 267, 646, 14952, 539, 693, 519, 6988, 543, 4763, 540, 1480, 3350, 269, 3245, 7619, 923, 547, 7544, 267, 19831, 6575, 547, 10649, 267, 1169, 9015, 6035, 2189, 4030, 883, 519, 7207, 540, 519, 1480, 1106, 269, 1656, 1498, 7585, 781, 1620, 540, 3047, 781, 9821, 543, 2853, 8057, 3232, 267, 646, 6785, 602, 972, 1131, 2141, 581, 1945, 1007, 547, 3605, 543, 5660, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 25284, 2719, 585, 9061, 7257, 717, 2096, 333, 10415, 454, 1607, 2022, 3947, 513, 5266, 5618, 5813, 883, 938, 6138, 267, 1935, 543, 2497, 602, 649, 946, 693, 10793, 539, 717, 2096, 333, 10415, 267, 14691, 585, 9061, 7257, 717, 2096, 333, 10415, 563, 9209, 2065, 717, 2096, 333, 10415, 5288, 269, 9061, 7257, 16930, 717, 2096, 333, 10415, 454, 296, 723, 2854, 513, 5094, 2022, 593, 519, 3604, 1063, 3203, 2065, 717, 2096, 333, 10415, 543, 9061, 7257, 717, 2096, 333, 10415, 865, 594, 4465, 1406, 979, 883, 519, 25727, 1934, 855, 538, 5758, 519, 3119, 3604, 616, 607, 5205, 912, 268, 3203, 2065, 717, 2096, 333, 10415, 568, 5097, 1164, 9952, 267, 2786, 6186, 543, 31062, 4222, 9141, 936, 2110, 942, 5712, 799, 607, 513, 1267, 2306, 621, 513, 5097, 26103, 7328, 454, 268, 9061, 7257, 717, 2096, 333, 10415, 568, 5097, 1970, 9952, 267, 18761, 6186, 543, 16757, 16608, 9141, 936, 3476, 942, 5712, 799, 607, 513, 1267, 2306, 621, 513, 5097, 20659, 7328, 454, 2252, 596, 1616, 547, 1451, 811, 827, 519, 25727, 540, 1018, 594, 2446, 1657, 267, 1287, 594, 2303, 2542, 1250, 824, 2022, 269, 1717, 267, 594, 1616, 3025, 547, 693, 2547, 17618, 1174, 519, 1657, 1354, 649, 979, 883, 5752, 4481, 585, 9197, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11846, 1299, 28046, 1315, 717, 2096, 333, 10415, 1315, 3203, 2065, 717, 2096, 333, 10415, 585, 8866, 267, 547, 606, 9813, 3957, 7585, 602, 1175, 15354, 593, 3618, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 606, 9813, 609, 1100, 1702, 827, 3618, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 769, 2221, 781, 3728, 19550, 1870, 1604, 267, 22231, 814, 1831, 513, 2565, 1967, 3815, 585, 3906, 5275, 547, 3251, 8013, 269, 901, 568, 3226, 3020, 585, 2029, 30596, 267, 1141, 4028, 5647, 543, 13916, 666, 1611, 519, 3017, 1063, 14762, 543, 17528, 269, 2290, 1907, 602, 814, 6591, 7839, 8560, 1851, 891, 3549, 568, 3397, 850, 1788, 2359, 780, 4263, 922, 4295, 267, 3397, 850, 1788, 2359, 568, 606, 27952, 1935, 547, 5883, 3785, 602, 11363, 8112, 267, 5698, 267, 543, 6075, 9547, 269, 9521, 2757, 1788, 2359, 2409, 267, 799, 1246, 513, 5276, 267, 1900, 8386, 9912, 1184, 267, 3397, 850, 7512, 6024, 5955, 543, 9542, 2429, 519, 1788, 29488, 269, 1635, 8840, 1524, 1804, 3785, 883, 4130, 267, 19242, 25098, 1572, 16204, 6493, 267, 6887, 666, 960, 3533, 543, 7561, 1247, 10893, 1981, 543, 21924, 1871, 6765, 780, 3080, 1383, 540, 513, 3811, 6388, 540, 3397, 850, 1788, 2359, 568, 519, 17459, 15829, 7419, 6224, 5787, 1807, 1982, 5018, 538, 519, 1349, 269, 634, 1982, 3096, 2274, 534, 12191, 267, 799, 8843, 1082, 3741, 609, 3397, 850, 267, 971, 607, 6024, 6454, 267, 3653, 5786, 267, 543, 2463, 585, 1004, 269, 1635, 13057, 2875, 21445, 23492, 6887, 998, 519, 3268, 540, 18440, 513, 2754, 1210, 891, 2409, 267, 17459, 15829, 7419, 6224, 2337, 2327, 602, 789, 616, 1134, 25668, 5792, 547, 6330, 519, 10848, 540, 8744, 1007, 2472, 543, 2533, 547, 2344, 780, 3383, 875, 1281, 3397, 850, 1788, 2359, 960, 538, 2259, 286, 2913, 781, 1491, 513, 6251, 1413, 693, 930, 1883, 2035, 1384, 265, 2878, 27165, 2984, 4995, 2311, 519, 2295, 540, 3397, 850, 1788, 2359, 616, 3593, 2984, 267, 799, 7001, 519, 2115, 543, 13821, 540, 1439, 3755, 538, 2241, 267, 13801, 1893, 269, 14871, 2984, 3335, 1246, 513, 3898, 971, 607, 834, 2026, 513, 1496, 12528, 3910, 594, 1616, 547, 1496, 9146, 316, 865, 602, 1496, 17754, 24674, 316, 2580, 543, 1683, 513, 2312, 4605, 540, 1018, 519, 1587, 1058, 798, 689, 519, 3593, 781, 5133, 269, 1635, 2519, 593, 3593, 2115, 2864, 982, 2930, 4170, 267, 3397, 850, 6887, 666, 1832, 519, 1439, 3804, 538, 2247, 543, 2057, 3478, 536, 690, 3022, 1524, 538, 11991, 3877, 563, 265, 2878, 306, 21646, 4995, 4495, 3593, 2984, 723, 1044, 4857, 267, 3397, 850, 6887, 2736, 873, 1524, 883, 1507, 267, 19242, 4773, 1572, 16204, 6493, 269, 3962, 838, 11781, 3335, 16569, 1079, 547, 2185, 4374, 267, 1282, 799, 519, 2319, 6212, 14311, 593, 12419, 513, 2324, 4062, 540, 3301, 610, 824, 5838, 762, 269, 1635, 2324, 538, 2110, 28377, 267, 6887, 666, 2226, 11610, 267, 2569, 1981, 267, 543, 1205, 2656, 5955, 689, 8639, 563, 265, 2878, 18184, 1575, 11401, 4995, 1677, 7520, 2792, 543, 11558, 1369, 519, 2319, 267, 3232, 1796, 1575, 11401, 630, 10193, 1634, 607, 9379, 4548, 264, 616, 1031, 269, 4438, 891, 5618, 11401, 267, 1142, 2319, 4759, 13713, 6257, 1018, 789, 1705, 19108, 267, 1018, 789, 1544, 547, 798, 2221, 267, 543, 1022, 9465, 789, 616, 6849, 269, 5776, 1575, 11401, 948, 2327, 602, 3025, 568, 593, 519, 1482, 2985, 543, 5512, 519, 2319, 547, 2232, 2152, 16425, 563, 265, 2878, 12988, 8421, 25462, 4995, 3683, 942, 267, 1007, 3593, 2984, 949, 10836, 267, 543, 4540, 3283, 949, 1689, 610, 1831, 13061, 269, 7982, 8421, 25462, 568, 519, 1184, 540, 17265, 543, 17975, 519, 1394, 8421, 540, 3593, 2984, 547, 2327, 602, 621, 3788, 4143, 543, 13988, 609, 519, 1788, 3853, 269, 8617, 1394, 8421, 25462, 7886, 1450, 6887, 547, 4188, 14422, 267, 1039, 610, 4894, 2984, 267, 543, 9337 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6855, 7142, 18487, 9376, 23957, 602, 2417, 14944, 1441, 1004, 779, 14227, 1134, 5630, 269, 634, 4611, 2790, 268, 8234, 2042, 941, 1134, 3564, 519, 1072, 13282, 1062, 779, 4390, 547, 6023, 563, 3719, 602, 1705, 711, 1611, 25472, 1185, 1100, 3681, 269, 634, 14886, 1222, 5484, 577, 1788, 267, 799, 594, 8547, 267, 14884, 2146, 13538, 1510, 1022, 1991, 2564, 610, 2790, 268, 8234, 2866, 547, 1683, 2911, 3797, 689, 11308, 6288, 1649, 2583, 538, 782, 4557, 16899, 540, 519, 2197, 269, 1284, 723, 865, 2484, 8036, 811, 982, 476, 273, 267, 1822, 540, 891, 968, 6588, 526, 15948, 338, 892, 547, 1683, 13508, 547, 741, 2199, 2950, 563, 763, 1982, 1568, 269, 769, 476, 1001, 277, 267, 513, 19747, 4791, 4693, 1336, 602, 2550, 609, 1455, 2790, 4713, 543, 10832, 540, 4965, 945, 4607, 14886, 1222, 5484, 577, 13508, 1185, 513, 1713, 6175, 538, 2589, 269, 18877, 609, 1569, 547, 14886, 1222, 5484, 577, 2533, 849, 4810, 9283, 538, 824, 2127, 267, 689, 7486, 4093, 547, 14774, 543, 1126, 1072, 269, 4634, 519, 20516, 338, 12419, 519, 3797, 1867, 602, 789, 723, 28322, 689, 513, 6793, 2631, 540, 10362, 543, 6043, 563, 8448, 338, 538, 2539, 9113, 1830, 2477, 723, 849, 1044, 21722, 1007, 267, 27249, 3631, 585, 12419, 1164, 7779, 267, 1970, 21057, 17867, 1416, 547, 2950, 1141, 621, 729, 711, 5892, 2139, 269, 2290, 13009, 4565, 1794, 518, 568, 590, 836, 987, 267, 606, 15726, 302, 2212, 32483, 1229, 538, 519, 4095, 1533, 540, 3619, 320, 602, 14884, 8723, 1004, 547, 5838, 26447, 5574, 267, 3226, 538, 2127, 609, 2370, 1569, 547, 2790, 268, 8234, 2533, 269, 11916, 8062, 723, 9846, 3254, 602, 891, 968, 26792, 24784, 892, 616, 2500, 538, 5466, 513, 2647, 2039, 540, 2790, 268, 8234, 2175, 267, 689, 4965, 543, 4160, 547, 4568, 14025, 4713, 563, 20118, 267, 16200, 21790, 338, 14884, 968, 11365, 268, 8234, 4863, 2209, 892, 547, 1683, 1863, 1895, 3797, 547, 1970, 13867, 2021, 543, 10708, 609, 4965, 538, 24063, 543, 2098, 25995, 269, 634, 3919, 5359, 513, 3532, 1764, 267, 711, 2547, 538, 5885, 2950, 4299, 676, 2916, 5829, 2825, 12469, 269, 1656, 713, 1764, 568, 1305, 547, 1332, 281, 16200, 21790, 338, 13653, 543, 16628, 1530, 534, 2904, 9440, 26770, 519, 1982, 547, 3914, 476, 28178, 267, 1822, 1004, 713, 1032, 563, 310, 3480, 3631, 540, 17867, 1416, 616, 1932, 4199, 25673, 547, 581, 18202, 856, 2066, 519, 1158, 267, 3226, 538, 4000, 543, 3162, 5607, 267, 1141, 3728, 21212, 5095, 543, 23960, 2916, 4220, 10460, 5458, 2591, 269, 1809, 1134, 2275, 2761, 539, 2146, 2861, 7341, 616, 1312, 1942, 15807, 543, 3810, 27249, 269, 15332, 5355, 1367, 2790, 1072, 543, 6043, 267, 971, 3292, 7794, 2146, 22122, 543, 5000, 7104, 1966, 9010, 267, 1312, 540, 799, 786, 1831, 5051, 1271, 607, 519, 2916, 6433, 14556, 5809, 563, 307, 871, 1782, 519, 2518, 2790, 268, 8234, 6433, 3927, 786, 2154, 3152, 6278, 689, 519, 3486, 2146, 269, 634, 2622, 2657, 9257, 779, 7981, 19541, 585, 10076, 2657, 267, 799, 8179, 547, 5838, 3152, 1569, 547, 2790, 268, 8234, 2533, 2066, 922, 3670, 4525, 538, 476, 1001, 280, 268, 2537, 267, 729, 513, 1900, 538, 519, 1318, 4287, 269, 1809, 621, 1590, 581, 13455, 543, 9450, 269, 11531, 267, 2199, 543, 3084, 6608, 543, 24960, 625, 1058, 9784, 1007, 267, 12725, 2861, 4485, 602, 723, 9863, 741, 2702, 547, 948, 2950, 11883, 609, 3395, 4220, 547, 741, 2729, 267, 24454, 267, 543, 1134, 5630, 269, 2443, 5741, 5204, 526, 6510, 454, 291, 21779, 932, 756, 7701, 267, 513, 7548, 540, 2618, 17226, 543, 2518, 2790, 1072, 693, 519, 2160, 540, 25472, 543, 519, 5507, 3427, 540, 30719, 543, 23427, 6925, 267, 568, 674, 10133, 540, 519, 14886, 1222, 5484, 577, 543, 519, 18579, 540, 519, 476, 1708, 274, 5062, 301, 8372, 15356, 563, 1805, 24780, 2212, 13388, 338, 6849, 3624, 781, 4346, 267, 971, 607, 8801, 22097, 267, 2554, 331, 2128, 5314, 267, 543, 7963, 2152, 538, 519, 1483, 10040, 5823, 267, 616, 4946, 547, 519, 533, 612, 574, 1143, 454, 18131, 543, 6690, 1404, 513, 2565, 1909, 538, 2257, 543, 2029, 543, 2069, 4249, 513, 4105, 1909, 538, 14304, 741, 7589, 0, 1103, 5988, 267, 6239, 681, 1952, 1695, 2335, 1442, 13636, 7732, 22842, 3979, 1977, 1686, 609, 513, 10707, 8858, 267, 10741, 513, 1007, 6885, 3695, 519, 4563, 1995, 538, 9098, 267, 513, 2817, 3979, 1977, 3367, 24493, 23463, 10741, 513, 1007, 6885, 2027, 1433, 8638, 267, 543, 811, 269, 634, 2835, 3769, 2630, 616, 5697, 689, 513, 1592, 2813, 676, 10911, 12435, 7172, 12579, 267, 3776, 12267, 281, 634, 3979, 1977, 15232, 585, 5753, 23463, 10741, 513, 1007, 6885, 799, 2882, 10643, 585, 3988, 998, 3446, 476, 277, 269, 634, 2347, 1592, 666, 581, 1336, 693, 4179, 2517, 4178, 7456, 3869, 4812, 3820, 270, 2378, 878, 534, 268, 26410, 3620, 626, 800, 270, 1421, 10741, 513, 1007, 6885, 454, 289, 612, 773, 519, 16359, 12860, 10348, 267, 10741, 513, 1007, 6885, 676, 8176, 681, 269, 8055, 267, 12789, 1421, 11609, 676, 4077, 14309, 26701, 27255, 454, 289, 612, 773, 21642, 7615, 729, 513, 835, 6361, 8584, 29292, 267, 13009, 4565, 5074, 3979, 1977, 4807, 945, 1705, 711, 1577, 10168, 610, 4008, 11475, 3247, 1200, 689, 31743, 1310, 1200, 5326, 269, 18786, 693, 2085, 476, 866, 267, 1352, 22755, 1200, 27576, 2429, 3013, 267, 2841, 539, 538, 27576, 14797, 267, 543, 5340, 25224, 338, 269, 9282, 1352, 11402, 5208, 543, 7130, 543, 729, 1419, 15286, 689, 2469, 1141, 1352, 4941, 267, 1352, 4797, 547, 2951, 543, 14526, 267, 8840, 1524, 7292, 543, 4008, 7496, 607, 1352, 4682, 563, 294, 869, 267, 10741, 513, 1007, 6885, 676, 25288, 4813, 534, 267, 11609, 676, 25611, 645, 10183, 454, 1103, 713, 4604, 1433, 3501, 585, 519, 21836, 3988, 267, 513, 1126, 12798, 1524, 741, 1554, 609, 3595, 13219, 267, 4672, 8645, 267, 543, 513, 8602, 269, 1306, 519, 7599, 2775, 2501, 538, 519, 6885, 1282, 741, 30148, 6296, 267, 519, 1126, 1159, 3796, 693, 875, 621, 2306, 741, 968, 8243, 26743, 6960, 892, 2960, 16657, 543, 1743, 22284, 1055, 547, 3207, 20386, 538, 519, 2219, 602, 789, 968, 3333, 710, 3781, 1932, 2507, 7536, 288, 3778, 540, 2725, 267, 10741, 513, 1007, 6885, 676, 1520, 16699, 31187, 267, 11609, 676, 8210, 514, 918, 269, 20484, 454, 2005, 568, 2182, 1373, 519, 1152, 6960, 1268, 538, 1362, 269, 23883, 950, 1565, 827, 8474, 610, 519, 4339, 585, 3540, 2924, 267, 621, 7959, 899, 782, 4064, 616, 593, 596, 269, 898, 779, 2182, 547, 1445, 593, 1565, 950, 15032, 1118, 22457, 8292, 269, 2755, 6236, 1200, 1378, 9620, 267, 519, 15669, 31061, 519, 2984, 540, 1200, 11937, 543, 14405, 4222, 689, 741, 1383, 607, 1134, 607, 1200, 3993, 779, 16779, 5048, 563, 5415, 20537, 3212, 778, 267, 10741, 513, 1007, 6885, 676, 13852, 523, 8381, 731, 267, 11609, 676, 674, 15967, 9149, 655, 454, 288, 2370, 8004, 568, 8909, 267, 11821, 267, 543, 513, 2370, 14220, 950, 1200, 15032, 2307, 585, 519, 968, 338, 7219, 23469, 22916, 517, 892, 950, 789, 1616, 519, 890, 778, 22916, 517, 269, 3212, 778, 568, 711, 519, 2681, 540, 3025, 779, 2960, 256, 2991, 6158, 621, 936, 609, 1200, 3158, 267, 519, 2370, 8004, 2501, 909, 609, 513, 4640, 602, 2242, 519, 1259, 1200, 15032, 267, 4116, 267, 543, 3025, 693, 1200, 1153, 12909, 827, 2960, 2681, 563, 4322, 24732, 267, 10741, 513, 1007, 6885, 676, 16593, 22118, 928, 12313, 267, 11609, 676, 21563, 534, 7502, 1512, 454, 763, 23661, 267, 6586, 2719, 1257, 540, 713, 4604, 1433, 22842, 782, 519, 8748, 1919, 513, 1126, 779, 3946, 666, 798, 607, 789, 979, 998, 741, 1554, 609, 741, 1920, 269, 24732, 666, 1711, 267, 1628, 267, 2328, 267, 543, 8038, 513, 30866, 269, 24732, 616, 849, 585, 4758, 554, 13903, 543, 4543, 6068, 3283, 3802, 269, 7822, 995, 12383, 6655, 519, 7772, 540, 6689, 543, 1118, 6654, 519, 2648, 602, 27788, 713, 1920, 563, 763, 2725, 594, 7994, 547, 2142, 267, 10741, 513, 1007, 6885, 676, 14844, 26474, 1323, 770, 14901, 20579, 921, 344, 267, 1148, 676, 3204, 529, 543, 918, 1695, 3757, 5975, 1156, 322, 22620, 454, 291, 9579, 1782, 267, 28531, 11147, 13173, 26255, 656, 1257, 267, 799, 1927, 11168, 519, 11995, 9342, 602, 9114, 1369, 1169, 1126, 269, 634, 3532, 267, 2318, 5048, 540, 713, 1433, 27711, 7872, 543, 30840, 538, 3160, 2694, 912, 7069, 5876, 543, 7279, 454, 6503, 1510, 1439, 2676, 663, 952, 594, 2743, 606, 21677, 2676, 296, 1175, 2253, 1586, 563, 308, 985, 701, 752, 762, 267, 10741, 513, 1007, 6885, 676, 2961, 1961, 11785, 16661, 5112, 267, 11609, 676, 4469, 20477, 23101, 454, 1103, 476, 4572, 272, 267, 519, 14762, 267, 25133, 3979, 1977, 2146, 540, 5682, 6229, 267, 20274, 267, 729, 1753, 547, 476, 1015, 267, 1822, 1004, 269, 634, 1292, 8265, 540, 5682, 6229, 267, 20898, 609, 4563, 24804, 4213, 267, 729, 1634, 607, 4563, 9931, 9335, 269, 2353, 540, 602, 729, 10032, 538, 1079, 2395, 267, 950, 513, 3043, 4254, 15748, 519, 10782, 7292, 4323, 538, 2136, 2276, 1686, 269, 25569, 338, 540, 1004, 5747, 267, 5215, 540, 1004, 941, 2451, 15602, 267, 543, 519, 2146, 540, 5682, 6229, 729, 10032, 267, 1454, 540, 621, 14616, 269, 634, 2407, 9165, 540, 519, 13357, 729, 7361, 4988, 909, 585, 5756, 543, 7012, 1406, 4628, 11567, 2394, 519, 3735, 476, 1960, 271, 338, 563, 291, 2117, 773, 16629, 6202, 568, 519, 15272, 7896, 18509, 13541, 693, 10911, 12435, 269, 901, 6241, 8385, 7902, 538, 634, 5131, 700, 766, 21178, 541, 11356, 269, 0, 8505, 26127, 6472, 1223, 1683, 1272, 22766, 6351, 538, 519, 2680, 540, 513, 1804, 8397, 27549, 267, 952, 513, 3838, 18239, 540, 14628, 6472, 568, 3710, 609, 713, 3483, 538, 2247, 563, 8624, 548, 8046, 7812, 681, 269, 18548, 6202, 543, 5261, 15519, 7714, 3136, 741, 834, 8505, 26127, 8892, 257, 3126, 540, 14136, 714, 523, 2934, 593, 14628, 6472, 630, 16787, 338, 1070, 2519, 593, 519, 9153, 6283, 12957, 6585, 585, 2067, 12469, 563, 3080, 540, 519, 26648, 1483, 3074, 547, 10836, 689, 519, 2487, 23967, 538, 4993, 568, 519, 5821, 540, 4540, 1857, 3106, 1949, 547, 24633, 540, 31587, 9568, 543, 2327, 602, 7264, 17355, 10663, 9108, 563, 288, 1650, 827, 513, 1920, 3843, 547, 17355, 10663, 1282, 713, 2887, 781, 834, 310, 710, 13474, 257, 11642, 538, 8832, 4993, 267, 607, 4080, 676, 519, 11968, 13353, 8648, 267, 14550, 519, 14413, 638, 9313, 540, 519, 6595, 10332, 1949, 269, 3689, 267, 519, 1920, 1152, 1336, 856, 827, 519, 16042, 3595, 950, 513, 7023, 11013, 539, 593, 741, 7450, 269, 2561, 30068, 267, 519, 1920, 1705, 711, 4309, 610, 5873, 513, 9258, 476, 26605, 1289, 610, 513, 12616, 6595, 10332, 269, 26681, 1185, 519, 2199, 1857, 3106, 10986, 9141, 676, 547, 14773, 17355, 10663, 9753, 269, 5822, 267, 2899, 593, 519, 4155, 267, 519, 1920, 8359, 741, 8912, 1259, 856, 540, 519, 1858, 267, 1152, 547, 581, 11074, 676, 513, 3774, 540, 26428, 269, 24664, 1176, 513, 3595, 12284, 729, 972, 547, 1463, 873, 547, 513, 1447, 14612, 267, 543, 1447, 5432, 8905, 563, 1103, 513, 2104, 602, 2882, 14628, 6472, 630, 16787, 338, 1070, 1223, 930, 540, 891, 14286, 1044, 14284, 286, 5994, 713, 9183, 281, 1306, 4330, 538, 519, 1383, 538, 8832, 4993, 267, 513, 3728, 2173, 8221, 543, 5906, 30481, 9397, 856, 16074, 269, 10871, 6595, 9946, 2697, 7366, 540, 5321, 4092, 538, 2127, 2693, 547, 6633, 269, 769, 1840, 547, 519, 3044, 31015, 1949, 267, 590, 10013, 13355, 20724, 338, 616, 5612, 771, 6312, 3481, 547, 1169, 1753, 282, 1034, 12446, 538, 896, 476, 1428, 3764, 269, 16270, 12625, 267, 952, 519, 1920, 814, 711, 2907, 1044, 1659, 7505, 676, 25887, 267, 12543, 267, 610, 519, 9329, 540, 8673, 267, 519, 20724, 27605, 883, 519, 5397, 3118, 543, 5956, 4378, 6362, 519, 18057, 543, 1166, 4770, 519, 8279, 269, 634, 10332, 539, 1920, 1178, 2125, 9660, 267, 10475, 28378, 630, 663, 519, 3032, 540, 1576, 256, 1070, 543, 4991, 883, 519, 20724, 269, 634, 20724, 12116, 10071, 2359, 1239, 827, 519, 4087, 540, 519, 3595, 267, 922, 3350, 543, 18330, 267, 543, 13602, 519, 1655, 2619, 547, 3106, 269, 1403, 519, 1920, 13821, 267, 519, 20724, 3217, 873, 547, 519, 14282, 27549, 4099, 563, 1432, 1131, 621, 1491, 547, 11766, 606, 5499, 543, 2500, 4640 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12024, 1715, 3840, 4975, 781, 29326, 32613, 2209, 610, 9351, 476, 7906, 781, 30659, 267, 519, 18983, 1014, 19438, 2706, 6716, 1143, 538, 744, 12549, 320, 267, 7147, 267, 568, 2943, 1776, 1650, 602, 31168, 1312, 4250, 543, 7279, 269, 681, 636, 1819, 547, 581, 723, 3361, 1896, 1004, 547, 979, 7508, 811, 982, 513, 8717, 3516, 267, 519, 18983, 1014, 19438, 2706, 6716, 1143, 2443, 513, 6390, 25491, 674, 956, 327, 16381, 2817, 5244, 2443, 3788, 513, 3905, 1888, 540, 4901, 1296, 1310, 519, 1249, 563, 3383, 568, 519, 18983, 1014, 19438, 2706, 6716, 1143, 1483, 286, 2107, 568, 621, 3274, 513, 7242, 888, 1432, 568, 519, 18983, 1014, 19438, 2706, 6716, 1143, 286, 1772, 621, 1483, 888, 763, 1650, 540, 519, 18983, 1014, 19438, 2706, 6716, 1143, 4422, 899, 713, 281, 851, 540, 7147, 267, 799, 2442, 569, 1634, 607, 519, 25491, 674, 956, 327, 16381, 2817, 5244, 267, 729, 27581, 6131, 547, 8497, 513, 7372, 1272, 1106, 267, 799, 7902, 547, 12701, 7366, 540, 5195, 9944, 519, 18983, 1014, 19438, 269, 898, 729, 1767, 547, 581, 4362, 676, 513, 12681, 1134, 10377, 3739, 12284, 538, 519, 476, 3192, 271, 338, 267, 543, 27581, 3568, 4890, 25850, 6438, 8219, 269, 30839, 593, 8652, 21666, 12074, 267, 621, 729, 16363, 513, 3621, 14952, 563, 3719, 593, 5147, 476, 275, 267, 476, 1220, 278, 267, 829, 713, 10071, 1867, 267, 519, 16957, 2706, 6716, 1143, 25540, 269, 25569, 338, 540, 2729, 941, 4503, 267, 543, 519, 6288, 1185, 547, 581, 9505, 1524, 269, 5381, 547, 824, 12469, 899, 595, 3062, 984, 2643, 267, 519, 4478, 2749, 729, 27333, 7477, 730, 267, 543, 1346, 945, 15068, 941, 1767, 547, 1995, 513, 11739, 342, 540, 2564, 2042, 538, 519, 1739, 1296, 269, 1809, 1018, 2731, 630, 26625, 2216, 569, 264, 5949, 286, 1772, 519, 1650, 3020, 888, 763, 2626, 568, 1862, 1100, 563, 6097, 547, 10965, 8554, 267, 9039, 540, 621, 568, 3020, 269, 634, 1523, 540, 519, 18983, 1014, 19438, 2706, 6716, 1143, 729, 2966, 676, 7376, 7066, 341, 528, 21662, 267, 945, 3323, 2870, 1523, 1148, 585, 27405, 1190, 674, 956, 327, 16381, 2817, 5244, 538, 476, 1001, 280, 269, 1261, 11540, 9235, 19297, 267, 22742, 10274, 267, 543, 811, 547, 519, 2622, 20761, 1016, 1042, 9016, 267, 896, 519, 2012, 5899, 1052, 309, 12317, 2873, 269, 1261, 2919, 606, 834, 4532, 1211, 1867, 257, 607, 513, 1158, 20761, 3635, 563, 23961, 1206, 2760, 5497, 547, 18174, 1004, 267, 543, 1256, 1498, 596, 666, 1405, 2263, 519, 6288, 267, 3695, 1010, 1148, 568, 5176, 1175, 607, 4277, 563, 4913, 267, 519, 18983, 1014, 19438, 729, 5063, 11855, 676, 519, 16501, 585, 3542, 5024, 563, 10214, 1498, 519, 18983, 1014, 19438, 2706, 6716, 1143, 3884, 1405, 1483, 267, 519, 18983, 1014, 19438, 568, 513, 1483, 1747, 2443, 543, 621, 7140, 856, 621, 781, 1360, 26130, 563, 1103, 1249, 267, 2687, 547, 6673, 5240, 267, 519, 16501, 814, 11855, 1079, 7147, 3282, 3549, 267, 18983, 1014, 8249, 21952, 543, 4223, 11456, 13870, 7577, 267, 585, 3423, 908, 519, 11162, 5794, 2920, 269, 2991, 10760, 513, 29357, 936, 519, 1858, 267, 1804, 5666, 540, 8652, 21666, 22643, 832, 941, 9571, 269, 4634, 1498, 621, 781, 15865, 547, 519, 21736, 3750, 267, 621, 14796, 519, 1604, 543, 13514, 3978, 1072, 4220, 563, 13828, 3549, 723, 2094, 8815, 547, 2569, 519, 5434, 540, 15655, 543, 824, 14107, 267, 676, 5355, 4238, 269, 1656, 593, 11728, 267, 4728, 476, 2767, 267, 519, 16501, 9307, 602, 4223, 11456, 13870, 7577, 12306, 593, 9878, 513, 1269, 277, 269, 273, 2929, 5386, 267, 1247, 18983, 1014, 8249, 21952, 1185, 8815, 547, 2628, 1269, 29637, 267, 1822, 513, 1906, 4374, 1394, 269, 16593, 2685, 891, 3800, 786, 2087, 519, 2011, 2298, 538, 519, 1858, 267, 543, 786, 588, 1511, 1055, 811, 2011, 5533, 563, 10214, 1498, 519, 2706, 6716, 1143, 3884, 1405, 1483, 267, 782, 713, 5533, 1223, 6157, 2014, 513, 2067, 9568, 540, 519, 899, 269, 1284, 3513, 581, 593, 519, 1413, 719, 585, 1022, 4191, 540, 2706, 13060, 602, 1223, 4573, 622, 689, 713, 2825, 32012, 640, 269, 0, 763, 1272, 3029, 27109, 519, 14724, 10408, 2497, 616, 888, 2252, 513, 29647, 568, 4188, 547, 519, 1318, 4463, 519, 2550, 23969, 786, 581, 4827, 693, 799, 5086, 454, 8794, 519, 3490, 30010, 3652, 267, 1018, 3490, 8424, 609, 20722, 710, 286, 513, 269, 1368, 29516, 454, 19138, 6532, 2433, 994, 1320, 2096, 710, 2141, 4422, 609, 20722, 710, 267, 543, 20722, 710, 2141, 4422, 609, 555, 2096, 710, 563, 2691, 2623, 568, 6766, 998, 519, 1184, 540, 1210, 18473, 15128, 267, 621, 568, 1572, 21718, 269, 513, 269, 2318, 15699, 454, 322, 269, 513, 951, 633, 1852, 454, 321, 269, 9101, 14555, 454, 323, 269, 21084, 14555, 0, 5970, 596, 2479, 2219, 789, 3441, 707, 1426, 888, 296, 1224, 12341, 602, 2342, 3085, 1406, 1450, 14580, 2314, 547, 3002, 1426, 269, 17451, 2094, 1287, 267, 594, 5795, 1250, 17196, 14089, 519, 588, 1074, 3750, 269, 2991, 20857, 883, 621, 811, 267, 594, 1336, 602, 621, 3884, 1406, 3020, 269, 594, 1869, 4956, 547, 4685, 883, 519, 2360, 540, 14580, 2314, 593, 1250, 1426, 563, 3383, 519, 16538, 540, 14580, 2314, 798, 12520, 5982, 855, 621, 568, 1507, 5666, 543, 711, 519, 1482, 1826, 540, 5982, 1336, 538, 6046, 26119, 269, 12130, 992, 2314, 3132, 1875, 23760, 1944, 5982, 269, 4595, 1769, 849, 814, 13590, 5982, 267, 621, 18085, 581, 602, 5739, 269, 634, 4496, 695, 3658, 543, 13819, 593, 14580, 2314, 2061, 5982, 689, 694, 9429, 856, 269, 1924, 267, 602, 568, 519, 3544, 540, 519, 17196, 267, 855, 1018, 827, 19249, 707, 1426, 888, 31466, 992, 2314, 960, 676, 3432, 532, 909, 519, 6675, 267, 1818, 873, 29907, 883, 1142, 824, 799, 7472, 3002, 269, 5901, 538, 2247, 602, 782, 2010, 540, 5986, 6175, 519, 8770, 1871, 538, 1426, 855, 2094, 14580, 2314, 946, 1447, 942, 547, 3002, 267, 621, 814, 1044, 1336, 547, 581, 1732, 982, 14495, 1426, 1141, 5567, 949, 13451, 856, 269, 5525, 941, 2944, 547, 1294, 519, 2360, 540, 14580, 3058, 1426, 543, 609, 1906, 17756, 267, 14580, 2314, 8190, 5567, 538, 1426, 1134, 269, 1358, 941, 1336, 547, 581, 1256, 811, 6225, 585, 22282, 6721, 811, 521, 592, 1721, 7469, 2033, 630, 534, 4550, 2275, 32555, 8328, 1916, 2171, 782, 917, 602, 3002, 666, 6861, 1978, 5567, 538, 1426, 269, 4595, 14580, 2314, 946, 1447, 942, 543, 1810, 1406, 6318, 519, 2837, 607, 1454, 607, 2161, 31068, 1426, 267, 621, 568, 1336, 547, 581, 811, 6225, 585, 1978, 2010, 540, 3536, 899, 28019, 563, 10303, 540, 875, 14580, 2314, 960, 267, 789, 1810, 1406, 6318, 519, 2837, 540, 1426, 547, 811, 982, 476, 18891, 293, 799, 568, 519, 14495, 1448, 540, 1216, 269, 1261, 908, 28019, 1932, 3905, 267, 538, 606, 14089, 610, 3443, 267, 3123, 6491, 4592, 26952, 269, 630, 296, 1589, 827, 782, 519, 2053, 594, 17696, 14616, 610, 3109, 1196, 3022, 28019, 3917, 10105, 264, 4635, 519, 17196, 585, 28019, 729, 3254, 547, 2014, 1447, 6491, 4592, 26952, 267, 799, 568, 1434, 563, 3383, 568, 972, 1022, 2800, 547, 946, 513, 17196, 585, 1426, 286, 8786, 269, 1403, 596, 946, 1978, 15229, 610, 12109, 1186, 538, 519, 17196, 547, 3002, 1426, 267, 596, 949, 1265, 602, 1018, 568, 538, 602, 5068, 666, 682, 778, 883, 707, 1426, 267, 799, 568, 10691, 1434, 269, 594, 1118, 2386, 547, 946, 4837, 2264, 538, 1250, 17196, 543, 3382, 609, 513, 1957, 24621, 267, 711, 5068, 16833, 269, 6271, 3364, 547, 4585, 856, 585, 568, 602, 513, 17196, 949, 711, 6146, 782, 519, 4551, 649, 666, 1265, 538, 1978, 3536, 267, 899, 5779, 267, 543, 14580, 2314, 3434, 19514, 569, 865, 596, 949, 723, 930, 3768, 821, 9634, 269, 594, 1118, 621, 513, 1448, 547, 2760, 3002, 5779, 538, 1250, 17196, 267, 865, 594, 1810, 1406, 723, 547, 5855, 827, 713, 269, 1656, 519, 2063, 2800, 689, 513, 17196, 666, 581, 8022, 15559, 269, 594, 5855, 602, 519, 5277, 786, 1011, 1712, 2901, 3330, 519, 17196, 610, 950, 594, 1491, 621, 856, 2507, 865, 513, 7552, 547, 519, 23041, 585, 8022, 15559, 585, 803, 563, 5475, 1603, 713, 2376, 267, 594, 786, 1100, 3476, 2285, 1250, 17196, 519, 588, 1074, 3750, 256, 0, 300, 27263, 16863, 616, 513, 3044, 2268, 540, 875, 3927, 2011, 12086, 666, 15972, 5536, 689, 476, 271, 269, 274, 547, 476, 1015, 8020, 6425, 630, 1015, 268, 277, 544, 1040, 634, 29358, 21252, 10025, 630, 300, 27263, 264, 12773, 585, 606, 2011, 6882, 9832, 689, 476, 272, 547, 476, 1626, 267, 609, 2362, 631, 27263, 17523, 29212, 1507, 5536, 811, 3927, 982, 12086, 609, 2539, 631, 27263, 17523, 269, 769, 2110, 267, 631, 27263, 476, 279, 12086, 616, 476, 3445, 2600, 3608, 593, 5536, 689, 476, 274, 547, 476, 1015, 30562, 4394, 538, 2450, 269, 8606, 1562, 609, 513, 631, 27263, 12773, 540, 476, 272, 547, 476, 275, 616, 2500, 585, 9013, 3677, 5536, 267, 1247, 1346, 609, 513, 12773, 540, 476, 276, 547, 476, 279, 616, 2500, 585, 9013, 9044, 24032, 267, 4552, 4944, 2001, 543, 7452, 563, 4322, 12086, 616, 10858, 547, 1034, 5010, 5656, 267, 4036, 1878, 267, 4853, 28737, 543, 5862, 1630, 16251, 269, 1403, 2576, 814, 606, 14711, 610, 7929, 1966, 267, 621, 568, 5227, 547, 3442, 513, 631, 27263, 476, 1556, 2011, 6882, 610, 1256, 513, 631, 27263, 476, 1724, 2011, 6882, 269, 4014, 519, 16863, 1810, 1405, 9765, 1346, 540, 519, 631, 27263, 476, 1626, 267, 1164, 3887, 11797, 28634, 2011, 630, 4047, 5183, 264, 12086, 15972, 519, 10545, 5536, 693, 513, 5488, 2557, 982, 1256, 519, 631, 27263, 476, 1626, 543, 616, 3335, 1031, 538, 10551, 5665, 11623, 267, 2973, 11623, 267, 543, 824, 8658, 602, 2154, 6207, 7738, 269, 1879, 9236, 513, 631, 27263, 476, 279, 2011, 6882, 543, 513, 631, 27263, 476, 1556, 2011, 6882, 267, 621, 568, 1271, 547, 4063, 602, 519, 631, 27263, 476, 1556, 2011, 6882, 666, 6882, 513, 1804, 6871, 540, 5386, 5536, 602, 519, 631, 27263, 476, 279, 2011, 6882, 3112, 563, 1607, 6476, 5750, 2337, 5031, 519, 3604, 1063, 519, 1079, 12086, 547, 1118, 621, 4443, 547, 6430, 799, 835, 1568, 1655, 269, 2290, 3364, 547, 1832, 538, 2247, 568, 602, 519, 631, 27263, 476, 1556, 2011, 6882, 949, 991, 547, 581, 4957, 513, 2370, 811, 4749, 982, 519, 631, 27263, 476, 279, 2011, 6882, 269, 1403, 10858, 267, 621, 568, 9244, 5227, 547, 946, 631, 27263, 476, 1321, 12086, 3079, 540, 631, 27263, 476, 1626, 547, 2149, 519, 14089, 269, 14780, 2358, 1152, 1614, 631, 27263, 8760, 2157, 666, 581, 513, 5100, 3375, 602, 2306, 519, 2011, 15777, 610, 513, 5739, 4781, 585, 519, 3003, 2011, 14555, 1062, 6236, 519, 2011, 2095, 4390, 540, 519, 631, 27263, 476, 279, 8957, 519, 631, 27263, 476, 1556, 269, 769, 3932, 267, 952, 596, 2811, 3843, 547, 3442, 1063, 513, 631, 27263, 476, 279, 2011, 6882, 543, 513, 631, 27263, 476, 1556, 2011, 6882, 267, 621, 568, 1271, 547, 2015, 707, 2115, 543, 7375, 269, 1403, 596, 2811, 7255, 827, 519, 2360, 540, 11375, 2718, 5386, 2011, 5536, 267, 602, 781, 1776, 2601, 547, 3442, 513, 631, 27263, 476, 1556, 2011, 6882, 936, 513, 631, 27263, 476, 279, 2011, 6882, 269, 0, 20103, 476, 866, 476, 1708, 274, 454, 21430, 7335, 31418, 1512, 585, 8479, 22996, 281, 589, 918, 268, 277, 11819, 779, 6651, 547, 15465, 20509, 7869, 454, 1103, 519, 14297, 1158, 540, 513, 918, 268, 277, 4928, 267, 1620, 875, 707, 1053, 685, 8186, 960, 568, 1883, 267, 2523, 950, 621, 2501, 547, 2542, 269, 9373, 519, 15465, 20509, 7869, 267, 513, 4241, 1523, 602, 2337, 721, 1294, 1946, 930, 1053, 30089, 998, 2048, 13142, 19714, 779, 5680, 685, 1247, 1866, 6560, 609, 2048, 763, 9697, 538, 519, 24051, 9957, 901, 3069, 12909, 827, 938, 2324, 3965, 543, 519, 1114, 2048, 2903, 338, 685, 610, 2188, 602, 666, 2901, 948, 610, 17225, 1565, 563, 4504, 337, 13917, 543, 6987, 337, 13917, 20509, 338, 281, 1548, 779, 519, 16338, 888, 4504, 337, 13917, 20509, 338, 281, 634, 7420, 5426, 454, 4504, 337, 13917, 4452, 568, 782, 827, 875, 16602, 519, 4305, 3294, 568, 269, 5994, 596, 2461, 3450, 875, 547, 1224, 513, 9219, 269, 1280, 930, 3214, 267, 621, 779, 513, 3802, 538, 519, 6288, 269, 1809, 585, 1866, 267, 1620 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 607, 519, 654, 3558, 932, 1301, 269, 901, 993, 340, 2280, 568, 1500, 540, 8988, 543, 20998, 513, 838, 3419, 540, 678, 826, 609, 1585, 824, 6698, 538, 922, 1614, 8371, 630, 10090, 958, 513, 524, 29266, 7599, 267, 1883, 267, 6801, 267, 546, 698, 7970, 543, 5810, 1040, 634, 524, 31483, 25917, 7389, 1394, 607, 2484, 607, 476, 14596, 271, 7460, 269, 898, 1522, 581, 12816, 607, 513, 20805, 656, 610, 3677, 3283, 949, 581, 8288, 538, 519, 7450, 3118, 540, 513, 18338, 779, 1753, 269, 634, 524, 31483, 25917, 568, 5595, 21758, 269, 634, 1614, 8988, 8371, 540, 519, 524, 31483, 25917, 9305, 547, 519, 10222, 921, 31001, 563, 288, 13394, 3603, 18338, 779, 10260, 269, 898, 779, 2901, 8370, 3952, 1279, 610, 1759, 593, 7403, 540, 519, 18338, 779, 1560, 269, 654, 9662, 946, 621, 547, 1665, 856, 513, 5858, 585, 9161, 269, 634, 524, 532, 4918, 949, 581, 12816, 1472, 519, 22765, 547, 2099, 519, 22612, 1377, 540, 519, 18338, 630, 13678, 1791, 547, 513, 737, 26147, 12966, 1040, 898, 1522, 849, 723, 6209, 25418, 13615, 883, 621, 269, 634, 25418, 1522, 581, 1031, 4990, 540, 899, 7826, 887, 338, 776, 19273, 267, 610, 5815, 4567, 547, 824, 26734, 267, 610, 519, 24516, 13999, 949, 1599, 899, 993, 2544, 1206, 563, 4322, 26734, 689, 6792, 616, 1767, 547, 581, 519, 15293, 338, 540, 2021, 945, 5747, 538, 27638, 269, 1358, 588, 1961, 9002, 547, 3548, 538, 20947, 269, 1358, 616, 2219, 547, 5531, 693, 3444, 30030, 269, 4658, 4734, 17008, 693, 3444, 30030, 267, 15691, 547, 4688, 741, 1378, 1453, 563, 342, 1941, 1472, 519, 8405, 538, 513, 8580, 675, 9126, 3895, 11505, 630, 341, 797, 5622, 270, 3125, 5622, 994, 10144, 2760, 4280, 2933, 2436, 26734, 941, 1483, 610, 711, 269, 15526, 1175, 6785, 789, 941, 1483, 2443, 594, 1611, 267, 789, 5030, 538, 1169, 8498, 256, 2334, 2243, 1152, 3323, 547, 581, 4280, 2509, 519, 1439, 540, 519, 476, 1704, 628, 2540, 563, 290, 821, 540, 1379, 454, 320, 14165, 585, 519, 786, 540, 519, 1895, 269, 1358, 2307, 585, 1919, 607, 513, 1895, 543, 2015, 602, 789, 666, 3180, 32022, 936, 11397, 1919, 563, 1492, 4207, 6697, 540, 2413, 31783, 269, 589, 23658, 11857, 2501, 909, 609, 513, 3069, 547, 2491, 3765, 325, 28232, 269, 4658, 616, 1360, 26997, 547, 3398, 519, 32094, 640, 540, 1272, 269, 901, 12402, 547, 3406, 585, 3123, 540, 3765, 325, 28232, 666, 581, 2938, 689, 519, 476, 14028, 271, 338, 27477, 267, 4448, 547, 519, 26746, 543, 13439, 1417, 17557, 1143, 269, 901, 2186, 540, 3206, 6585, 3020, 2221, 269, 1284, 1869, 1810, 1406, 899, 519, 2856, 602, 649, 616, 8572, 547, 6430, 938, 1378, 535, 919, 269, 1284, 4782, 513, 21465, 2272, 540, 1919, 602, 4755, 547, 721, 269, 634, 7216, 7073, 3661, 602, 3983, 1919, 5949, 1317, 540, 26734, 729, 606, 7216, 7073, 4528, 540, 24242, 3069, 563, 817, 18620, 609, 1934, 9455, 538, 519, 5664, 12698, 269, 2904, 17589, 689, 28712, 12816, 676, 1082, 25384, 24587, 547, 20301, 1379, 269, 634, 1490, 574, 568, 4440, 513, 476, 1704, 628, 2540, 1840, 269, 8672, 539, 2212, 323, 19843, 723, 2141, 26901, 539, 519, 25197, 566, 540, 1821, 2830, 787, 269, 717, 333, 2345, 1631, 5957, 621, 1932, 267, 1498, 789, 20004, 621, 2699, 543, 16756, 621, 563, 3519, 329, 675, 11435, 630, 528, 19259, 11435, 994, 4322, 4866, 547, 519, 642, 797, 5622, 270, 3125, 5622, 18338, 2245, 2864, 982, 519, 3864, 835, 269, 3509, 4207, 26734, 946, 873, 269, 1358, 616, 2370, 2721, 11415, 533, 537, 2583, 630, 1993, 2699, 1166, 14128, 610, 16463, 264, 12816, 1472, 519, 8405, 610, 22765, 540, 519, 8580, 25033, 269, 1358, 2461, 8288, 2390, 4054, 593, 519, 3959, 540, 835, 4171, 9939, 835, 16858, 547, 1860, 2443, 2356, 585, 2192, 269, 968, 299, 11691, 519, 8945, 892, 4016, 547, 9544, 513, 19259, 9126, 1141, 519, 5497, 1641, 1590, 3444, 936, 621, 269, 634, 11435, 2270, 476, 272, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 280, 610, 476, 1724, 3615, 281, 17576, 18429, 267, 11922, 267, 32314, 16247, 267, 30756, 514, 18969, 267, 20382, 267, 19271, 267, 1178, 3272, 731, 7452, 267, 17544, 685, 3952, 267, 25778, 16893, 267, 10077, 11274, 267, 9640, 327, 3996, 267, 17970, 804, 2089, 902, 267, 11147, 267, 25437, 540, 4552, 267, 18062, 267, 543, 4831, 10623, 527, 11113, 563, 6944, 698, 542, 540, 519, 1546, 640, 454, 1492, 2856, 602, 13411, 3615, 1058, 711, 581, 1031, 538, 824, 982, 13411, 4025, 269, 630, 1607, 568, 711, 1175, 31783, 855, 1455, 547, 782, 10764, 4700, 898, 779, 4061, 796, 331, 13806, 547, 21102, 1945, 689, 513, 1747, 540, 10847, 563, 288, 18338, 945, 814, 6836, 547, 4001, 2933, 31783, 543, 28542, 856, 540, 513, 1433, 269, 630, 13914, 540, 12253, 538, 634, 10127, 622, 17718, 1354, 646, 568, 3144, 593, 676, 6004, 631, 12011, 698, 328, 8094, 290, 867, 630, 528, 524, 532, 592, 600, 994, 1492, 9589, 11006, 10260, 602, 519, 18338, 31273, 1472, 1200, 22765, 543, 3096, 585, 12572, 11006, 12738, 540, 782, 12204, 269, 898, 568, 2699, 267, 8370, 3952, 538, 3259, 267, 543, 29693, 1243, 269, 7849, 2326, 971, 607, 10412, 267, 16536, 610, 15144, 616, 9053, 563, 288, 18955, 10568, 31537, 538, 519, 1106, 540, 513, 4137, 269, 4746, 1572, 8970, 11299, 269, 1358, 2461, 5921, 547, 1413, 899, 2021, 267, 855, 930, 540, 873, 1810, 1406, 1454, 269, 769, 1022, 2013, 267, 519, 8970, 12373, 569, 3090, 2478, 12680, 543, 519, 7556, 269, 630, 4537, 16747, 1500, 856, 540, 10568, 26106, 802, 4137, 1804, 538, 16897, 267, 2059, 609, 18720, 560, 2931, 267, 799, 4043, 547, 1413, 513, 3787, 899, 28749, 693, 3781, 4700, 769, 1977, 2296, 267, 8970, 4016, 811, 3622, 547, 2048, 326, 1778, 17483, 290, 657, 6193, 12624, 2986, 2353, 454, 30252, 24849, 330, 267, 513, 2413, 15594, 18338, 267, 3096, 713, 8360, 547, 4766, 519, 12624, 3047, 15178, 1915, 968, 3369, 846, 28244, 23953, 5144, 883, 519, 6109, 3512, 543, 945, 2840, 339, 1117, 1007, 6801, 267, 4171, 17208, 543, 561, 639, 4109, 1560, 729, 519, 1360, 3618, 789, 7708, 323, 593, 6100, 901, 4137, 6763, 538, 4334, 547, 519, 7225, 324, 334, 268, 22146, 270, 26576, 545, 10206, 540, 513, 24940, 2696, 2870, 3388, 4805, 267, 1247, 521, 14988, 1456, 519, 4775, 1560, 7357, 269, 968, 3412, 1137, 6361, 2914, 1580, 22158, 892, 568, 667, 1014, 324, 8830, 330, 1170, 779, 8360, 547, 4766, 513, 1259, 540, 3206, 827, 8706, 6541, 538, 513, 1259, 602, 568, 968, 2335, 8811, 559, 908, 569, 1095, 20696, 6100, 901, 3206, 1095, 32606, 602, 2318, 2592, 540, 2021, 616, 281, 14915, 908, 267, 3993, 569, 267, 2178, 267, 22265, 269, 1703, 568, 1100, 2219, 547, 945, 11299, 1200, 269, 901, 4998, 2213, 11052, 538, 1249, 7028, 519, 30013, 10206, 540, 519, 4807, 607, 20741, 337, 540, 1866, 269, 3509, 17024, 723, 5156, 538, 606, 968, 10594, 2435, 1319, 686, 8944, 31865, 713, 3884, 1406, 3908, 547, 31783, 281, 7917, 5696, 858, 5435, 267, 661, 5341, 3026, 30977, 267, 808, 12282, 269, 29732, 1993, 523, 267, 13191, 26858, 267, 14880, 27213, 267, 543, 2523, 808, 14371, 269, 17793, 10045, 269, 634, 31001, 2986, 18421, 630, 3369, 7241, 649, 1522, 1289, 1200, 264, 729, 8385, 11827, 270, 29171, 2642, 676, 5256, 5640, 267, 711, 676, 23518, 4807, 26734, 269, 634, 2239, 4422, 899, 713, 281, 6468, 616, 1016, 867, 3990, 2221, 1317, 634, 4279, 12624, 630, 9227, 538, 585, 2021, 538, 2489, 264, 8385, 6417, 3025, 267, 543, 2367, 1185, 547, 22617, 1394, 930, 1852, 540, 741, 1378, 1317, 2021, 941, 865, 26568, 543, 849, 22424, 564, 550, 607, 3401, 269, 1656, 602, 267, 11570, 267, 568, 1946, 519, 13348, 8944, 6818, 269, 570, 331, 282, 20142, 281, 24686, 8944, 568, 2021, 779, 10751, 267, 543, 519, 2067, 1931, 540, 1919, 269, 10251, 267, 2413, 31783, 3085, 1406, 2141, 798, 513, 1390, 2816, 540, 24905, 1782, 602, 1880, 2239, 563, 10177, 3431, 476, 1724, 538, 1297, 855, 9170, 1063, 476, 274, 543, 476, 736, 269, 1358, 2253, 676, 2048, 26511, 519, 5858, 8730, 799, 25904, 543, 1625, 5809, 519, 13411, 1747, 1141, 9059, 786, 2049, 267, 1141, 10971, 543, 15831, 525, 786, 8915, 267, 1141, 942, 786, 14897, 267, 1141, 5132, 786, 1831, 1651, 7568, 622, 563, 290, 19879, 540, 519, 31001, 454, 1103, 476, 3192, 276, 513, 1297, 540, 524, 990, 839, 6512, 539, 1927, 543, 4646, 595, 19879, 540, 519, 31001, 269, 634, 13539, 729, 8547, 676, 10060, 24849, 330, 538, 4993, 543, 1004, 666, 1869, 6443, 621, 2221, 563, 1492, 4087, 540, 519, 524, 8576, 454, 1492, 1858, 1472, 519, 524, 8576, 560, 1737, 269, 27603, 835, 21597, 538, 2450, 269, 630, 10666, 1614, 5195, 538, 782, 8846, 8094, 12179, 821, 945, 568, 711, 513, 18338, 563, 288, 2110, 2287, 540, 2048, 342, 3558, 8154, 9957, 630, 2005, 568, 849, 1031, 676, 6154, 655, 3517, 547, 4766, 741, 9992, 24471, 1510, 15597, 20803, 621, 4700, 6884, 1004, 2161, 2048, 9209, 543, 14958, 8730, 2495, 31783, 563, 1492, 2012, 513, 18338, 11392, 1310, 606, 22612, 9161, 269, 14958, 4408, 4043, 547, 782, 8775, 547, 19463, 24587, 269, 630, 290, 990, 839, 616, 849, 3957, 8094, 15899, 532, 634, 15167, 454, 17357, 4046, 4637, 547, 2048, 325, 684, 1968, 17483, 263, 23742, 20321, 3212, 9586, 264, 9197, 821, 2443, 1520, 686, 26413, 6762, 779, 2165, 585, 513, 4571, 342, 1057, 4882, 3563, 11320, 2674, 538, 5905, 609, 519, 3618, 543, 782, 1919, 2067, 269, 1284, 1294, 2147, 856, 11529, 540, 713, 18840, 6943, 538, 18912, 2145, 525, 267, 543, 538, 4207, 12563, 2145, 525, 2854, 585, 1453, 269, 1452, 2021, 1522, 581, 3833, 29749, 552, 3052, 269, 670, 843, 559, 573, 269, 1358, 616, 1419, 11303, 676, 513, 2367, 4526, 773, 540, 10130, 543, 3484, 2831, 630, 15367, 1352, 15109, 10130, 1040, 1358, 1419, 4159, 5409, 6568, 609, 891, 2831, 630, 663, 594, 14353, 789, 2461, 8572, 547, 26718, 873, 1916, 763, 32529, 267, 519, 4622, 267, 543, 519, 4012, 6509, 616, 1614, 9921, 1268, 5874, 540, 519, 18840, 20200, 531, 24940, 269, 1358, 5330, 547, 519, 10723, 959, 6541, 540, 519, 21522, 1268, 1881, 676, 519, 30823, 523, 267, 3993, 267, 543, 1835, 821, 15030, 1580, 5808, 14840, 2060, 519, 654, 11510, 676, 22548, 20811, 25968, 7637, 6480, 15530, 454, 17457, 26734, 5957, 6094, 13164, 540, 8988, 609, 513, 8988, 524, 29266, 7599, 693, 519, 4395, 269, 901, 543, 519, 6095, 614, 1522, 6655, 7584, 563, 290, 4900, 941, 21787, 607, 606, 13525, 540, 2669, 267, 543, 26734, 15151, 1031, 873, 950, 16213, 28542, 1996, 14763, 269, 595, 4900, 685, 3952, 941, 4061, 1634, 607, 2048, 342, 9662, 3952, 9957, 898, 729, 849, 5156, 602, 26734, 1223, 2981, 2933, 883, 524, 4900, 547, 2951, 29462, 547, 521, 13741, 1846, 269, 634, 2262, 2048, 322, 992, 779, 3723, 685, 849, 4016, 547, 519, 32060, 1472, 519, 4064, 267, 543, 7551, 849, 5815, 519, 17149, 1935, 540, 2669, 563, 288, 17375, 610, 4496, 8708, 538, 799, 8407, 610, 824, 6878, 949, 581, 24268, 610, 16271, 547, 1360, 1164, 5210, 269, 5450, 777, 1817, 1227, 267, 513, 3510, 540, 4049, 4693, 267, 610, 538, 799, 1114, 2609, 2170, 267, 3056, 547, 519, 5137, 540, 1945, 1007, 563, 320, 1404, 676, 14880, 16019, 543, 2663, 513, 7260, 588, 18732, 12736, 7431, 27550, 1457, 269, 634, 1483, 2806, 580, 841, 13879, 729, 12341, 1063, 476, 1015, 268, 1321, 1296, 2025, 267, 855, 16019, 5828, 1200, 883, 513, 6822, 10631, 633, 267, 561, 755, 995, 21717, 269, 634, 3901, 1227, 267, 634, 14265, 24862, 568, 513, 2786, 268, 3453, 3954, 10586, 540, 2527, 1728, 3122, 807, 543, 22166, 269, 25037, 713, 609, 824, 1568, 540, 5708, 799, 2119, 547, 948, 741, 5304, 1265, 513, 1259, 540, 5329, 9490, 3197, 607, 851, 540, 938, 2486, 267, 1510, 519, 12004, 10455, 3256, 552, 3052, 269, 519, 6648, 968, 306, 784, 540, 5295, 892, 676, 4432, 12578, 3171, 14852, 563, 821, 540, 519, 10120, 2409, 540, 4466, 6169, 1996, 513, 16143, 15294, 19907, 269, 634, 1455, 3661, 729, 602, 519, 1560, 540, 519, 6408, 1131, 31380, 18053, 538, 519, 4527, 540, 519, 15294, 19907, 269, 1772, 5018, 538, 20707, 655, 517, 860, 773, 267, 3751, 6276, 779, 6159, 7458, 1433, 827, 26734, 267, 945, 646, 5156, 1131, 6146, 1864, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 1376, 2220, 11691, 1394, 543, 8521, 269, 1215, 1281, 621, 1745, 888, 276, 269, 18564, 1453, 4730, 7404, 267, 28617, 543, 11981, 2933, 269, 14190, 1346, 7772, 995, 4992, 547, 6445, 707, 2295, 609, 8788, 563, 277, 269, 6875, 1776, 2620, 7362, 543, 1930, 707, 4064, 267, 8876, 602, 2631, 540, 4708, 543, 25273, 609, 596, 2429, 519, 1554, 780, 8855, 267, 3025, 781, 16494, 3460, 949, 1413, 5594, 1114, 1759, 593, 2123, 7375, 543, 12496, 269, 1548, 6927, 1034, 568, 4466, 6418, 1869, 1145, 543, 18399, 1369, 707, 1378, 2189, 1158, 540, 9345, 780, 1262, 1692, 1677, 6657, 2871, 3660, 22569, 2044, 2201, 2659, 13574, 16001, 3086, 602, 596, 1174, 519, 9238, 1577, 781, 2119, 2870, 707, 1360, 1378, 11461, 11052, 9183, 256, 7427, 891, 3268, 547, 1205, 3323, 1384, 272, 269, 7994, 513, 6249, 281, 17292, 1945, 22196, 267, 11121, 267, 610, 3274, 11791, 267, 971, 607, 14084, 593, 513, 3636, 11824, 610, 13735, 2597, 1652, 538, 2230, 563, 273, 269, 5590, 519, 6429, 281, 14674, 1142, 1469, 12667, 569, 282, 24738, 267, 4992, 267, 1085, 757, 267, 5905, 267, 3092, 1421, 1818, 2386, 3388, 7959, 18136, 543, 2922, 563, 274, 269, 18918, 707, 12823, 281, 20780, 538, 2609, 1808, 547, 707, 6074, 6249, 267, 4543, 547, 3986, 21599, 543, 6278, 563, 275, 269, 6651, 707, 4664, 281, 11559, 2318, 4606, 2404, 609, 707, 6074, 4259, 267, 5009, 2949, 8171, 543, 694, 1066, 640, 563, 276, 269, 7736, 12347, 281, 26431, 3142, 707, 4656, 1394, 547, 519, 1459, 4090, 267, 6028, 3297, 1022, 29886, 2640, 689, 707, 19511, 22116, 780, 2026, 596, 3136, 8026, 11461, 11052, 9066, 267, 3314, 547, 2141, 3442, 4798, 543, 5054, 602, 13469, 609, 596, 13948, 269, 3683, 942, 267, 596, 3513, 1265, 621, 4443, 547, 17277, 883, 22471, 559, 2829, 540, 2247, 267, 5355, 5834, 267, 30840, 267, 543, 2949, 2298, 540, 1272, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16631, 1299, 519, 14175, 11312, 10610, 2443, 3487, 476, 273, 454, 763, 1480, 1560, 2173, 785, 1950, 814, 1082, 6456, 11580, 267, 930, 12777, 538, 10750, 2070, 269, 2755, 649, 616, 782, 1641, 547, 4835, 669, 2660, 543, 11913, 968, 628, 9722, 2223, 827, 1079, 22188, 540, 721, 1995, 2592, 2059, 609, 4555, 269, 1656, 585, 827, 3368, 540, 891, 11570, 267, 713, 568, 513, 8789, 851, 540, 741, 2219, 1184, 269, 1879, 596, 2161, 11945, 267, 789, 1294, 606, 11945, 538, 602, 4583, 968, 332, 785, 779, 3750, 1848, 28740, 5961, 666, 2408, 950, 649, 3207, 267, 11291, 2576, 267, 1745, 2648, 610, 4250, 610, 4126, 585, 513, 1732, 2104, 269, 1401, 27238, 267, 649, 616, 10514, 12023, 609, 2592, 543, 6698, 602, 4163, 1950, 6106, 540, 2495, 267, 2418, 267, 543, 1344, 269, 16103, 616, 3335, 3844, 547, 2686, 19237, 267, 8155, 267, 543, 3661, 1949, 269, 1656, 972, 568, 1100, 811, 3532, 5420, 982, 3308, 6698, 547, 3310, 610, 13861, 1866, 267, 607, 2413, 6994, 23924, 543, 14761, 616, 8650, 569, 3222, 269, 15332, 519, 4337, 1400, 5961, 602, 3180, 1004, 1927, 543, 8300, 873, 267, 789, 666, 849, 581, 513, 22045, 547, 3152, 5075, 543, 4720, 269, 1809, 1018, 952, 713, 533, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10817, 3660, 22569, 2044, 25990, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 2405, 14591, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 5269, 7935, 19233, 9966, 16443, 585, 513, 20266, 5371, 692, 3721, 476, 272, 281, 20283, 2659, 23123, 454, 2414, 1118, 22282, 1208, 16443, 267, 5531, 891, 5820, 281, 835, 2212, 540, 4195, 22282, 630, 12671, 476, 275, 11680, 1070, 1079, 804, 7174, 13342, 267, 476, 272, 270, 274, 7484, 512, 1695, 7236, 267, 476, 272, 270, 275, 7484, 11993, 10433, 267, 476, 273, 26486, 14462, 3282, 267, 476, 272, 23188, 2666, 524, 6058, 267, 6070, 267, 543, 1216, 607, 2877, 269, 2353, 5820, 1058, 581, 693, 4055, 2837, 780, 3721, 476, 273, 281, 16259, 519, 7935, 19233, 454, 310, 1662, 519, 22282, 8499, 543, 2759, 883, 1166, 648, 1206, 269, 29673, 610, 1025, 21123, 2394, 13035, 630, 12671, 476, 277, 268, 279, 3764, 1040, 667, 1778, 543, 3579, 4625, 1354, 23312, 269, 901, 786, 2327, 707, 1208, 16443, 814, 513, 5347, 9403, 780, 3721, 476, 274, 281, 2349, 754, 12275, 997, 543, 1975, 1182, 454, 1103, 513, 1426, 16267, 267, 11100, 519, 22019, 539, 13342, 804, 7174, 267, 524, 6058, 267, 543, 513, 32521, 540, 6070, 2394, 29656, 1295, 1027, 269, 17006, 14546, 1631, 14556, 5809, 741, 10366, 780, 3721, 476, 275, 281, 5410, 595, 10541, 7935, 19233, 454, 11754, 519, 11273, 543, 22799, 22282, 1166, 648, 1206, 547, 519, 1426, 16267, 269, 17240, 572, 1896, 2053, 2394, 7745, 1524, 883, 1507, 4773, 269, 2480, 7275, 1524, 519, 5011, 952, 2556, 780, 3721, 476, 276, 281, 28799, 3816, 8724, 23123, 454, 4415, 519, 1426, 16267, 4881, 267, 7444, 13248, 538, 519, 512, 1695, 7236, 267, 11993, 10433, 267, 543, 14462, 3282, 998, 519, 1283, 669, 1393, 269, 6713, 2394, 1134, 5916, 543, 27598, 269, 1403, 519, 7848, 568, 1932, 5394, 267, 6094, 621, 856, 676, 4946, 1216, 267, 835, 29537, 693, 513, 942, 267, 2394, 5551, 11007, 568, 6603, 269, 17797, 4005, 902, 547, 6492, 780, 3721, 476, 277, 281, 31160, 610, 15188, 454, 9558, 2536, 519, 8737, 1208, 16443, 547, 513, 7674, 12826, 610, 2011, 31259, 8708, 269, 1280, 1655, 8137, 267, 12104, 4733, 585, 693, 2547, 606, 5662, 1354, 7674, 269, 6969, 24386, 585, 513, 17552, 5371, 267, 5671, 14794, 3606, 14462, 3282, 936, 519, 1283, 543, 21959, 880, 609, 22872, 16163, 2917, 610, 13099, 27996, 269, 5901, 669, 2683, 1282, 6283, 269, 17949, 609, 533, 7534, 3694, 267, 11523, 619, 267, 610, 6151, 5388, 780, 7659, 9669, 912, 268, 1924, 1136, 12015, 7105, 701, 553, 16074, 666, 1267, 538, 23704, 1208, 16443, 282, 2705, 267, 1210, 840, 2275, 10541, 27574, 7105, 701, 553, 849, 1568, 1134, 269, 3807, 8963, 543, 27125, 873, 1354, 1210, 563, 268, 4635, 4055, 2837, 5820, 2636, 585, 1256, 11544, 269, 932, 3739, 519, 1208, 16443, 1310, 7041, 10597, 922, 10366, 563, 268, 18461, 1863, 547, 21160, 707, 22282, 1208, 16443, 676, 4946, 824, 5820, 971, 607, 2699, 14723, 1166, 1389, 267, 3141, 1673, 3072, 14274, 267, 610, 28777, 13342, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1692, 547, 1118, 8949, 4195, 22282, 1208, 16443, 538, 1175, 476, 1428, 3764, 269, 589, 2656, 543, 2653, 2635, 16702, 13868, 519, 2757, 7105, 701, 553, 609, 22282, 910, 543, 1175, 865, 4523, 547, 581, 17154, 543, 10683, 1863, 1932, 269, 4279, 5428, 1426, 267, 585, 17552, 333, 923, 543, 513, 13561, 1118, 8584, 3650, 11600, 563, 8005, 1131, 723, 2219, 602, 713, 7935, 19233, 9966, 16443, 1131, 581, 865, 2442, 609, 519, 1920, 286, 1411, 4440, 2503, 1175, 6653, 13000, 1934, 855, 594, 740, 648, 5260, 712, 344, 267, 2462, 942, 267, 1932, 269, 594, 6415, 2386, 713, 1131, 581, 32263, 607, 513, 11423, 538, 1250, 9910, 5260, 712, 344, 10786, 5672, 541, 976, 630, 3285, 701, 538, 1250, 1433, 267, 1412, 32743, 6168, 5839, 541, 976, 262, 1916, 11101, 267, 950, 1945, 568, 607, 2653, 547, 1118, 543, 8949, 569, 2635, 1932, 267, 594, 1745, 621, 781, 1250, 10279, 547, 22551, 621, 689, 519, 31241, 3591, 543, 2161, 281, 1412, 8923, 3548, 22282, 713, 1259, 256, 7055, 1607, 22282, 1208, 16443, 568, 1500, 538, 1175, 476, 1428, 3764, 267, 621, 781, 865, 17705, 543, 27598, 2943, 10683, 1863, 256, 5620, 594, 18617, 596, 547, 1118, 713, 2943, 888, 293, 3306, 569, 13067, 17360, 9966, 16443, 281, 570, 514, 2740, 5288, 667, 3072, 454, 296, 2648, 1818, 1250, 1378, 1208, 16443, 609, 519, 2757, 7105, 701, 553, 269, 898, 781, 865, 2656, 543, 2653, 910, 645, 7473, 594, 723, 547, 3314, 547, 27653, 519, 1743, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 23733, 1315, 20266, 333, 10107, 1299, 29114, 326, 908, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1839, 267, 616, 513, 4090, 547, 5031, 519, 454, 9404, 18957, 991, 585, 7580, 543, 1713, 3486, 2962, 547, 4688, 2729, 543, 2061, 7366, 540, 5215, 540, 454, 6097, 547, 519, 14959, 779, 5767, 9193, 267, 546, 20621, 568, 519, 2014, 540, 476, 20720, 267, 1822, 7972, 1169, 1032, 269, 12830, 569, 267, 519, 22375, 454, 1211, 5809, 602, 546, 20621, 568, 513, 28824, 2014, 610, 9019, 610, 24896, 602, 25409, 5540, 1453, 543, 454, 611, 3421, 30105, 538, 6917, 2127, 269, 3509, 2477, 1867, 546, 20621, 607, 513, 3056, 2014, 540, 6689, 9019, 267, 3226, 538, 454, 18244, 896, 268, 276, 1296, 563, 2108, 14399, 543, 1762, 1004, 2099, 519, 5354, 540, 2729, 4503, 547, 519, 1216, 11451, 892, 1767, 681, 800, 715, 1030, 19049, 267, 18947, 20180, 528, 2657, 267, 6167, 32019, 10361, 18392, 269, 9232, 1607, 6571, 2306, 513, 2312, 2013, 585, 6167, 32019, 2962, 282, 547, 1489, 16588, 2276, 538, 7598, 1126, 6668, 454, 338, 30055, 602, 4352, 8810, 267, 723, 1279, 1044, 15763, 269, 1284, 1590, 1439, 713, 991, 1652, 2530, 540, 1272, 543, 2285, 1453, 543, 454, 9767, 978, 1004, 519, 2645, 547, 29379, 1216, 607, 513, 2922, 2230, 9731, 763, 22375, 2369, 2478, 519, 7681, 1063, 546, 20621, 543, 1646, 269, 11059, 593, 546, 20621, 6604, 6799, 606, 454, 28695, 4316, 547, 1118, 3356, 2509, 9072, 1369, 1896, 540, 519, 6167, 12655, 4886, 17644, 269, 1703, 616, 454, 27234, 6402, 1063, 546, 20621, 543, 824, 2518, 11650, 4143, 547, 4264, 1646, 267, 2146, 6043, 547, 454, 30873, 1689, 267, 543, 9568, 1981, 5786, 563, 2108, 7437, 713, 1007, 6167, 4937, 13909, 22375, 267, 16588, 2276, 616, 4758, 546, 20621, 922, 1813, 6284, 267, 862, 839, 23847, 454, 5976, 519, 1764, 621, 814, 593, 3885, 543, 2950, 1472, 519, 1158, 2223, 7074, 3220, 18264, 1329, 928, 918, 2607, 267, 10615, 540, 519, 4972, 540, 4317, 10318, 514, 1218, 540, 2657, 267, 2622, 2657, 9257, 630, 21766, 1916, 2108, 11693, 602, 1453, 543, 10708, 538, 6917, 2127, 616, 25409, 4299, 676, 546, 20621, 267, 7303, 713, 1857, 454, 8234, 1085, 28123, 568, 835, 1900, 2509, 2679, 513, 3655, 790, 337, 267, 8902, 1158, 3034, 28403, 2358, 602, 546, 20621, 568, 28824, 543, 602, 27249, 267, 1970, 21057, 7459, 2291, 267, 16588, 2276, 616, 9415, 2676, 517, 513, 17319, 4493, 267, 547, 22738, 513, 2039, 540, 20291, 18931, 7459, 267, 4143, 547, 3084, 6381, 563, 11854, 1136, 540, 519, 9525, 540, 3540, 2486, 538, 713, 4674, 267, 4460, 22337, 773, 267, 12751, 15445, 540, 519, 9576, 2817, 5020, 29539, 26323, 630, 305, 301, 299, 296, 994, 2108, 2026, 606, 13539, 6131, 547, 9494, 2729, 593, 543, 1472, 519, 1216, 267, 649, 616, 4278, 2683, 547, 723, 6462, 16588, 2276, 454, 514, 3646, 547, 5150, 513, 6167, 6820, 667, 20621, 10644, 22375, 269, 589, 1007, 6167, 3486, 1554, 585, 546, 20621, 6604, 454, 4752, 619, 606, 5993, 267, 2518, 4316, 585, 6608, 267, 1216, 3106, 14540, 267, 543, 519, 1857, 547, 2097, 1927, 547, 454, 13440, 1758, 1047, 519, 2061, 1464, 540, 546, 20621, 267, 543, 519, 2318, 267, 4052, 3527, 602, 782, 540, 721, 666, 1491, 547, 1832, 454, 785, 1339, 338, 267, 3885, 543, 2950, 2922, 6100, 0, 268, 476, 272, 1548, 3361, 519, 15940, 658, 5108, 888, 268, 476, 273, 1548, 11225, 513, 15940, 658, 888, 268, 476, 274, 1772, 476, 1960, 280, 15940, 658, 610, 2637, 2098, 888, 268, 476, 275, 1548, 1296, 616, 19087, 2098, 888, 268, 476, 276, 3657, 596, 513, 7085, 27812, 610, 2637, 2098, 888, 268, 476, 277, 1772, 476, 1960, 276, 513, 2637, 2098, 888, 268, 476, 278, 1548, 616, 519, 1079, 2010, 540, 7085, 3317, 10118, 888, 268, 476, 279, 1548, 616, 519, 476, 277, 5481, 888, 268, 476, 280, 1548, 11225, 2637, 2098, 888, 268, 476, 1015, 1548, 616, 9002, 4535, 538, 476, 1960, 280, 1572, 888, 268, 476, 1556, 3657, 1004, 4535, 538, 476, 1960, 276, 7085, 3317, 10118, 610, 2637, 2098, 888, 268, 476, 1321, 1548, 616, 9002, 4535, 538, 519, 476, 3445, 338, 1572, 888, 268, 476, 1724, 1215, 2025, 568, 513, 28652, 518, 888, 268, 476, 1691, 1879, 1705, 2637, 2098, 1439, 888, 268, 476, 1428, 1548, 568, 519, 1007, 5108, 1572, 476, 1708, 271, 888, 1432, 3361, 519, 15940, 658, 5108, 888, 15578, 2623, 540, 7085, 3317, 10118, 814, 1044, 8032, 676, 1079, 2101, 2188, 281, 519, 4279, 1234, 20896, 267, 799, 5734, 873, 9875, 982, 621, 5734, 4587, 5481, 267, 543, 23292, 2208, 538, 2875, 7963, 563, 1432, 11225, 513, 15940, 658, 888, 763, 4890, 7085, 27812, 2085, 2039, 568, 5458, 25175, 4535, 1063, 476, 2735, 273, 543, 476, 1220, 271, 267, 799, 568, 1631, 476, 10695, 269, 272, 2929, 1004, 610, 811, 982, 513, 10116, 540, 519, 772, 2529, 269, 2551, 267, 616, 2808, 7085, 3317, 10118, 676, 519, 772, 2529, 269, 17227, 13163, 269, 634, 5108, 779, 2450, 20489, 602, 540, 519, 476, 4037, 269, 275, 2929, 4816, 1630, 12002, 563, 3674, 476, 1960, 280, 15940, 658, 610, 2637, 2098, 888, 7049, 3130, 962, 630, 15161, 4535, 1063, 476, 2735, 271, 543, 476, 1960, 280, 3738, 616, 849, 1572, 7085, 3317, 10118, 269, 19087, 2098, 630, 15161, 4535, 689, 476, 1220, 271, 909, 547, 519, 1459, 1554, 264, 723, 1044, 6659, 609, 13819, 563, 1432, 1296, 616, 19087, 2098, 888, 7049, 2098, 281, 2637, 2098, 568, 519, 21777, 5108, 267, 4535, 1063, 476, 1960, 278, 543, 476, 1001, 273, 270, 1428, 269, 1358, 616, 4867, 1063, 476, 277, 543, 476, 2190, 1296, 2025, 630, 333, 22022, 476, 6924, 2929, 538, 519, 772, 2529, 8094, 6701, 596, 513, 7085, 27812, 610, 2637, 2098, 888, 6097, 547, 519, 623, 1168, 3194, 4741, 267, 15940, 10118, 941, 4535, 1063, 476, 2735, 272, 543, 476, 1960, 277, 267, 1247, 2637, 2098, 616, 1346, 4535, 689, 476, 1960, 278, 27477, 269, 634, 15940, 658, 2759, 4752, 1032, 9775, 689, 2707, 547, 2707, 267, 1498, 267, 609, 930, 8380, 621, 693, 476, 1960, 276, 543, 1866, 14178, 621, 547, 476, 1960, 278, 563, 3674, 476, 1960, 276, 513, 2637, 2098, 888, 7049, 3130, 2098, 267, 607, 789, 723, 1044, 22579, 267, 2874, 540, 1346, 4535, 538, 476, 1960, 276, 610, 2663, 269, 19087, 2098, 630, 10193, 1634, 607, 5403, 268, 7085, 3317, 10118, 267, 519, 1775, 7049, 3130, 267, 5853, 619, 267, 1773, 584, 1023, 267, 610, 519, 13067, 14657, 19087, 3738, 568, 519, 15295, 20165, 1739, 519, 7085, 3317, 10118, 563, 1432, 616, 519, 1079, 2010, 540, 7085, 3317, 10118, 888, 2467, 616, 1079, 2010, 540, 15940, 10118, 267, 3081, 513, 1252, 1049, 4274, 281, 968, 1889, 268, 961, 3317, 10118, 892, 543, 968, 332, 9298, 268, 961, 3317, 10118, 1848, 634, 1079, 2694, 540, 519, 5108, 616, 3989, 267, 6606, 267, 676, 1079, 1114, 1272, 10092, 269, 2290, 1895, 568, 3001, 4464, 24015, 543, 20019, 267, 1247, 519, 824, 7959, 741, 1272, 814, 24715, 730, 563, 1432, 616, 519, 476, 277, 5481, 888, 3528, 519, 2338, 454, 268, 17926, 4425, 12002, 281, 4535, 476, 3707, 277, 547, 476, 3422, 275, 563, 268, 19087, 13643, 281, 4535, 476, 4198, 276, 547, 476, 3422, 276, 563, 268, 19087, 2473, 281, 4535, 476, 3422, 276, 547, 476, 2735, 271, 563, 268, 2473, 3317, 10118, 281, 4535, 476, 3192, 278, 547, 476, 2735, 274, 563, 268, 7085, 3317, 10118, 281, 4535, 476, 2735, 272, 547, 476, 1960, 277, 563, 268, 19087, 2098, 281, 4535, 476, 1960, 278, 610, 1310, 563, 268, 19087, 24488, 281, 4535, 476, 1001, 271, 610, 1310, 563, 1432, 11225, 2637, 2098, 888, 7049, 3130, 2098, 630, 528, 2637, 2098, 585, 2110, 1070, 30351, 6053, 1634, 607, 24680, 619, 267, 568, 519, 15295, 20165, 8011, 532, 7085, 3317, 10118, 543, 18631, 19087, 24488, 269, 12824, 543, 2442, 2923, 946, 519, 4571, 3562, 2000, 622, 476, 1960, 271, 338, 607, 4358, 4332, 1296, 543, 519, 2038, 476, 1001, 271, 338, 607, 10678, 4332, 1296, 563, 1432, 616, 9002, 4535, 538, 476, 1960, 280, 1572, 888, 15578, 631, 21135, 2894, 301, 24361, 717, 2894, 2207, 9569, 19419, 292, 24086, 11555, 26177, 454, 21270, 1941, 1475, 21848, 630, 514, 476, 1001, 273, 10245, 21270, 17879, 4425, 558, 19087, 1475, 3707, 277, 1107, 476, 3422, 275, 1475, 4366, 1107, 476, 4792, 2008, 347, 7049, 3130, 2473, 1475, 3422, 276, 1107, 476, 3192, 280, 1475, 3451, 1107, 476, 5325, 2008, 23277, 650, 27812, 19087, 1475, 2735, 271, 1107, 476, 1960, 280, 1475, 1724, 1107, 476, 3953, 2008, 347, 7049, 3130, 2098, 1475, 1220, 271, 1107, 1475, 1321, 543, 896, 2008, 6701, 1004, 4535, 538, 476, 1960, 276, 7085, 3317, 10118, 610, 2637, 2098, 888, 2710, 596, 3314, 476, 280, 270, 1556, 286, 1452, 616, 2055, 602, 666, 2626, 513, 13214, 1082, 4535, 1063, 519, 1296, 476, 1960, 276, 910, 1220, 271, 723, 1765, 732, 596, 513, 15940, 658, 610, 851, 540, 2637, 2098, 286, 623, 1168, 3194, 4741, 11225, 15940, 10118, 607, 2576, 4535, 1063, 476, 2735, 272, 543, 476, 1960, 277, 2443, 26074, 602, 19087, 2098, 267, 607, 789, 2070, 621, 267, 6238, 693, 476, 1960, 278, 563, 1432, 616, 9002, 4535, 538, 519, 476, 3445, 338, 1572, 888, 27908, 3317, 10118, 269, 2755, 1082, 949, 1166, 2089, 14688, 4766, 782, 1762, 1004, 607, 15940, 10118, 267, 519, 2165, 568, 2965, 6956, 547, 3277, 547, 1004, 945, 941, 4535, 538, 519, 942, 1974, 8151, 689, 519, 2038, 476, 2735, 271, 338, 547, 519, 4571, 268, 476, 1960, 271, 338, 543, 2038, 476, 1220, 271, 338, 563, 1692, 2025, 568, 513, 28652, 518, 888, 6097, 547, 623, 1168, 3194, 267, 513, 28652, 518, 568, 4896, 4535, 1310, 476, 1960, 277, 269, 2334, 1797, 519, 9510, 2637, 2098, 1131, 581, 1472, 476, 2537, 1296, 2025, 563, 2691, 1705, 2637, 2098, 1439, 888, 7617, 19087, 616, 1411, 888, 347, 7049, 3130, 8745, 1475, 289, 597, 2195, 3399, 1475, 289, 597, 2195, 7736, 2008, 347, 7049, 3130, 2473, 630, 289, 17879, 645, 755, 10534, 3422, 276, 1475, 3192, 280, 2008, 23277, 650, 3317, 10118, 19087, 962, 267, 2637, 8921, 1475, 2735, 271, 1475, 1960, 275, 2008, 347, 328, 7049, 1315, 2637, 2098, 1475, 1960, 276, 1475, 1001, 273, 2008, 1432, 568, 519, 1007, 5108, 1572, 476, 1708, 271, 888, 7049, 3130, 24488, 630, 528, 2637, 24488, 585, 2110, 264, 568, 519, 15295, 20165, 8011, 532, 19087, 2098, 269, 12824, 543, 2442, 2923, 946, 519, 2038, 476, 1001, 271, 338, 607, 4358, 4332, 1296, 543, 519, 4571, 268, 1708, 271, 338, 607, 10678, 4332, 1296, 269, 0, 4910, 17508, 568, 606, 16617, 5114, 538, 799, 19346, 568, 12444, 1242, 547, 3132, 1648, 269, 1284, 723, 4967, 602, 596, 666, 946, 538, 476, 1001, 280, 269, 8431, 269, 4147, 476, 280, 628, 269, 21085, 568, 7745, 1524, 883, 513, 6378, 2179, 540, 1648, 543, 1287, 5397, 519, 1439, 1278, 6193, 6547, 538, 519, 1591, 269, 1284, 4126, 519, 2016, 29242, 28924, 16086, 476, 1015, 628, 9208, 10334, 10298, 6651, 21584, 5131, 8281, 538, 1312, 2296, 23839, 543, 30017, 15401, 23839, 540, 3848, 8797, 5999, 543, 12226, 267, 11872, 786, 948, 596, 269, 1548, 568, 3115, 3174, 543, 4208, 12292, 3115, 28558, 1547, 3371, 938, 12243, 540, 12140, 11740, 23357, 2488, 596, 13159, 1344, 540, 6673, 543, 570, 306, 476, 1015, 628, 4147, 270, 9399, 290, 269, 9578, 519, 10334, 11872, 674, 2529, 290, 3487, 476, 273, 568, 11207, 1863, 543, 666, 581, 22434, 865, 4896, 666, 4647, 873, 3362, 269, 1280, 811, 1543, 1644, 547, 713, 2022, 596, 666, 4945, 593, 10297, 3095, 269, 3657, 596, 3168, 585, 3848, 476, 1691, 834, 4910, 17508, 257, 4967, 585, 476, 1321, 628, 1362, 538, 519, 7300, 543, 2592, 1106, 286, 11374, 519, 2095, 24577, 2982, 519, 5311, 540, 3157, 602, 2049, 1282, 19344, 269, 1763, 17508, 568, 606, 16617, 5114, 538, 799, 19346, 568, 12444, 1242, 547, 3132, 1648, 269, 10334, 568, 606, 4277, 1641, 267, 543, 519, 7132, 1079, 10334, 14469, 4967, 2097, 538, 13561, 547, 5965, 596, 1134, 585, 519, 4147, 476, 1321, 11400, 269, 5253, 3006, 13788, 519, 2842, 335, 6559, 543, 3123, 669, 3183, 269, 5269, 2386, 547, 6085, 1524, 707, 1995, 3823, 938, 3896, 269, 16544, 540, 12389, 2142, 902, 22702, 547, 6348, 910, 2713, 31218, 10334, 6651, 1280, 4147, 476, 1015, 3184, 8797, 269, 476, 272, 13445, 1547, 5192, 1569, 547, 23048, 4967, 585, 4147, 476, 1015, 3848, 476, 277, 5020, 22948, 19775, 676, 1641, 4966, 693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 528, 4452, 902, 2268, 519, 4222, 543, 4287, 540, 12205, 1063, 6688, 269, 1358, 1397, 875, 1454, 1764, 1142, 7121, 814, 950, 17782, 1776, 7121, 269, 1284, 4729, 891, 3815, 4452, 902, 593, 1079, 17887, 13902, 547, 1142, 824, 267, 2870, 513, 14649, 7120, 269, 3962, 1448, 14687, 547, 513, 2582, 7121, 780, 3721, 476, 275, 281, 28604, 454, 763, 6251, 2798, 616, 593, 519, 3113, 267, 519, 811, 5702, 4448, 519, 7222, 6688, 616, 269, 1924, 267, 952, 513, 12440, 540, 2798, 5526, 2282, 1142, 824, 267, 621, 5267, 513, 2178, 7681, 1851, 1346, 6688, 269, 17957, 267, 30152, 2798, 5815, 4617, 3347, 780, 3528, 1739, 713, 1184, 267, 596, 666, 4019, 4856, 22046, 775, 5811, 547, 1082, 2010, 540, 2042, 3564, 1175, 2564, 1382, 269, 3807, 3314, 547, 2141, 1376, 609, 2312, 2055, 267, 5531, 1434, 2298, 1239, 267, 543, 1246, 519, 3268, 18928, 269, 2060, 2259, 267, 596, 3513, 1831, 9952, 693, 4466, 10578, 2984, 3297, 707, 1239, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10574, 540, 9691, 2192, 5046, 268, 866, 2550, 616, 1373, 11117, 5001, 267, 711, 1152, 547, 1174, 519, 1585, 3344, 540, 519, 2068, 543, 547, 13217, 2126, 2994, 855, 849, 547, 2087, 4791, 3375, 6194, 269, 1280, 4791, 3375, 6194, 538, 1880, 267, 1322, 333, 8251, 2188, 540, 513, 24037, 1576, 540, 519, 2068, 1131, 581, 3810, 4143, 563, 1103, 713, 24794, 8826, 20165, 1353, 267, 649, 9916, 519, 1101, 476, 6795, 2937, 9691, 2192, 13044, 268, 866, 2550, 5701, 538, 835, 540, 519, 14021, 1416, 4559, 540, 519, 2160, 6481, 4741, 3204, 839, 7921, 267, 5125, 269, 4635, 796, 328, 268, 543, 1617, 19041, 762, 9695, 3631, 267, 649, 13939, 513, 1305, 540, 6724, 602, 4847, 585, 1322, 333, 3151, 538, 3620, 2214, 1388, 9019, 563, 20751, 519, 20165, 267, 476, 866, 2550, 5747, 630, 332, 677, 1275, 476, 3953, 269, 273, 22103, 10552, 9063, 1871, 267, 1611, 27555, 2604, 267, 3490, 4430, 267, 21050, 13908, 267, 543, 605, 5632, 31842, 13908, 941, 4857, 607, 3810, 1713, 1322, 333, 8251, 2188, 540, 538, 3620, 2214, 1388, 9019, 269, 1717, 267, 1100, 1713, 3604, 941, 1336, 585, 824, 6724, 4397, 547, 581, 4143, 1322, 333, 8251, 2188, 267, 899, 561, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17357, 22046, 775, 5811, 257, 607, 851, 540, 834, 21316, 30388, 1315, 17438, 1299, 10803, 1315, 5564, 21725, 5811, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 1262, 16215, 476, 277, 281, 15775, 2659, 9839, 623, 18804, 910, 17224, 11131, 20113, 543, 31292, 2657, 4373, 20756, 972, 256, 5620, 596, 2479, 4862, 827, 875, 1271, 621, 568, 547, 1832, 707, 2295, 2635, 286, 4270, 267, 835, 1390, 1259, 547, 798, 602, 568, 676, 10283, 538, 1187, 2238, 1572, 20659, 5751, 256, 1411, 1522, 723, 2938, 1004, 3257, 17259, 795, 2931, 267, 4881, 267, 10977, 267, 610, 1256, 15472, 1472, 543, 2219, 789, 6743, 899, 789, 941, 2348, 513, 1434, 942, 269, 2871, 612, 1018, 286, 1358, 2811, 849, 2921, 1416, 540, 741, 12271, 1247, 11981, 2933, 256, 2913, 781, 4685, 1318, 538, 543, 1451, 782, 827, 20659, 5751, 543, 1946, 789, 616, 865, 9735, 585, 938, 9025, 1072, 780, 1262, 4089, 476, 272, 281, 1548, 1281, 834, 15258, 26210, 257, 1611, 19037, 15140, 7312, 1560, 814, 1114, 1949, 2324, 1927, 547, 2327, 3388, 8255, 12347, 269, 2290, 971, 1062, 568, 1572, 519, 2608, 15258, 26210, 1062, 29688, 901, 16681, 2012, 3274, 1797, 519, 1895, 540, 2694, 538, 938, 4703, 3743, 585, 23028, 1973, 2429, 938, 1560, 32503, 31665, 621, 282, 713, 2882, 938, 2295, 256, 1879, 649, 2911, 827, 5329, 938, 12271, 2635, 267, 649, 1616, 547, 1445, 593, 4509, 543, 7393, 938, 9025, 8516, 780, 265, 13914, 540, 621, 607, 513, 2319, 17041, 634, 1292, 5716, 616, 938, 2295, 630, 1492, 22530, 541, 10116, 3724, 14386, 543, 938, 9641, 630, 712, 3972, 344, 2647, 2256, 1392, 1040, 8625, 267, 789, 960, 2182, 547, 5838, 5135, 543, 5567, 547, 1169, 851, 540, 938, 4703, 3842, 938, 1973, 8043, 630, 1492, 18086, 1899, 7863, 873, 1040, 1656, 1175, 899, 1022, 3811, 5026, 2319, 267, 950, 1142, 6345, 15824, 693, 922, 1655, 267, 519, 2898, 2319, 17993, 256, 22177, 1262, 4089, 476, 273, 281, 1924, 267, 1018, 4010, 616, 20659, 5751, 15140, 3086, 1577, 781, 1205, 1394, 547, 1346, 3579, 2238, 594, 5018, 4505, 269, 1284, 1289, 891, 5322, 2608, 320, 21740, 5751, 24682, 799, 1797, 789, 2154, 811, 5135, 982, 8912, 1317, 649, 991, 3063, 1648, 547, 2844, 873, 269, 3776, 4703, 4431, 547, 20659, 3635, 676, 2810, 1312, 938, 2295, 2557, 543, 19344, 2557, 269, 3683, 942, 267, 713, 9542, 2306, 938, 2295, 6793, 543, 1732, 2111, 547, 3761, 938, 6091, 609, 519, 5135, 730, 1973, 2877, 1282, 2168, 2534, 780, 2080, 616, 930, 2653, 3562, 3146, 332, 1897, 1806, 540, 20659, 5751, 1384, 265, 29303, 610, 28185, 3101, 454, 265, 4210, 21148, 454, 265, 667, 3496, 454, 265, 808, 18804, 18052, 454, 265, 20676, 532, 630, 13433, 267, 14964, 21891, 12523, 1932, 256, 2020, 2791, 949, 5469, 602, 1034, 540, 891, 4125, 3001, 707, 1804, 6091, 14578, 936, 930, 942, 269, 2334, 17279, 568, 2629, 2094, 621, 8952, 707, 2295, 25588, 5488, 543, 3340, 3586, 4492, 6765, 780, 1262, 4089, 476, 274, 281, 4208, 1058, 649, 21898, 609, 5547, 2866, 15140, 290, 1844, 3726, 2866, 568, 1776, 5140, 4781, 585, 2679, 9025, 16608, 269, 5502, 540, 23578, 547, 1152, 835, 1826, 540, 3635, 267, 5547, 2866, 10905, 2789, 10473, 1141, 596, 1685, 2110, 28377, 540, 1114, 20659, 2238, 1354, 3533, 28006, 547, 519, 1985, 6728, 269, 1280, 1383, 267, 4952, 4358, 609, 7914, 887, 4771, 585, 1079, 3764, 267, 1287, 15175, 547, 7903, 13522, 585, 835, 8792, 267, 4553, 676, 15203, 585, 1614, 3764, 267, 543, 6368, 18138, 1055, 609, 2695, 520, 19876, 338, 585, 13977, 7643, 269, 2991, 11264, 713, 5311, 2899, 267, 596, 1131, 1491, 513, 2656, 3826, 615, 543, 10956, 519, 3003, 4783, 1586, 780, 3963, 979, 998, 782, 602, 8373, 286, 4279, 2243, 256, 18065, 2866, 2488, 1896, 5383, 3379, 547, 2757, 11931, 15581, 20659, 2238, 269, 3689, 267, 621, 8952, 1919, 4277, 543, 4101, 676, 7683, 4657, 909, 519, 5751, 269, 19627, 267, 7900, 9867, 5322, 6971, 519, 1981, 540, 5945, 1813, 547, 936, 2224, 269, 7831, 855, 6157, 711, 2547, 267, 1382, 2982, 602, 8884, 2866, 1107, 10156, 5712, 540, 7920, 2534, 954, 4944, 619, 539, 609, 2539, 8515, 6051, 11775, 1107, 666, 1291, 547, 3152, 9283, 538, 9025, 8516, 3379, 547, 6024, 9793, 27233, 3635, 4805, 2439, 3383, 1810, 1405, 21183, 2476, 689, 11544, 1919, 909, 543, 3843, 856, 1007, 13467, 256, 3807, 3314, 2141, 547, 6432, 547, 707, 1560, 543, 5077, 609, 513, 11967, 2937, 952, 596, 2811, 18516, 2436, 1978, 5751, 616, 3617, 585, 596, 780, 1262, 310, 1905, 5455, 16001, 23558, 256, 3767, 596, 917, 811, 827, 519, 2956, 540, 9025, 8516, 543, 875, 20659, 5751, 1404, 513, 1713, 1909, 538, 4509, 513, 2635, 2295, 269, 1635, 6220, 2238, 899, 6972, 267, 10977, 267, 15472, 267, 610, 5547, 2866, 883, 707, 3232, 6296, 267, 596, 3513, 581, 1134, 593, 707, 1259, 547, 556, 12686, 519, 3875, 12587, 2404, 609, 2178, 9025, 1072, 269, 5901, 11319, 3054, 543, 3695, 1007, 2081, 547, 3251, 3742, 543, 2972, 519, 3460, 2509, 513, 3514, 614, 267, 18668, 267, 543, 8902, 9358, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1432, 616, 519, 1883, 2640, 540, 7598, 20659, 14555, 2994, 547, 2087, 9025, 8516, 888, 258, 1215, 547, 13724, 31292, 24524, 281, 17224, 11131, 16448, 532, 454, 25205, 26210, 8516, 568, 1898, 585, 2949, 1072, 543, 1134, 5630, 269, 12056, 538, 2834, 20659, 14555, 5751, 666, 948, 2087, 9025, 8516, 267, 3056, 547, 8476, 2295, 1072, 267, 2799, 26176, 2088, 267, 543, 4824, 2949, 2298, 540, 1272, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1585, 2081, 547, 2087, 9025, 8516, 998, 20659, 14555, 267, 3246, 596, 609, 3407, 4030, 543, 4052, 4388, 547, 6451, 883, 707, 8516, 6296, 563, 1012, 1215, 6496, 17224, 11131, 16448, 532, 13724, 31292, 24524, 888, 288, 21740, 14555, 4016, 547, 5751, 602, 2333, 707, 2295, 2557, 543, 7244, 2557, 585, 606, 6905, 1974, 269, 1452, 5751, 616, 1634, 547, 2087, 9025, 8516, 676, 14304, 519, 2295, 4887, 543, 5355, 922, 4398, 269, 8617, 20659, 14555, 2337, 547, 3986, 5761, 4390, 2437, 780, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 31178, 1299, 32362, 1315, 11644, 1315, 17224, 984, 923, 1315, 18065, 9751, 585, 31292, 11588, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6637, 2473, 281, 25905, 525, 609, 20828, 281, 10289, 16200, 21058, 16992, 538, 9012, 692, 5970, 596, 2479, 14478, 707, 5172, 20419, 543, 1336, 3054, 6273, 676, 835, 540, 519, 3197, 286, 9320, 621, 729, 741, 22838, 267, 11587, 267, 610, 8990, 602, 9575, 707, 3007, 269, 21894, 621, 949, 581, 267, 891, 14070, 5515, 666, 1419, 4734, 513, 9434, 1764, 593, 721, 269, 4653, 267, 649, 2811, 2469, 547, 4685, 883, 519, 1158, 540, 9423, 543, 2263, 2178, 4775, 3197, 945, 4161, 2757, 4008, 5107, 543, 8300, 13588, 899, 596, 2439, 4131, 781, 1376, 676, 7234, 1018, 2306, 513, 1915, 834, 17641, 1701, 2755, 2168, 4222, 568, 17216, 11141, 267, 972, 616, 1082, 824, 7907, 602, 3565, 547, 513, 1134, 25454, 267, 3532, 1268, 320, 269, 1452, 7592, 1522, 1331, 6043, 267, 4987, 267, 8296, 267, 5876, 267, 5718, 1983, 267, 543, 811, 269, 1635, 15386, 3309, 1909, 3631, 609, 1585, 9342, 267, 2923, 15888, 948, 3337, 2318, 2418, 585, 9458, 780, 3086, 267, 1577, 781, 1445, 593, 513, 1880, 1895, 540, 9565, 8951, 1107, 27959, 525, 256, 7043, 2404, 609, 4837, 1793, 26802, 543, 7996, 585, 13584, 932, 9879, 267, 2413, 27959, 6386, 2832, 547, 2736, 2476, 689, 12145, 11475, 543, 7668, 1762, 6690, 1472, 519, 8608, 269, 2290, 971, 1383, 568, 4432, 6511, 540, 589, 1998, 528, 267, 18557, 781, 1101, 5824, 12677, 27959, 269, 23095, 676, 30621, 15168, 828, 267, 713, 7524, 1915, 5012, 1200, 1378, 10806, 1247, 10188, 2591, 602, 1449, 1200, 10100, 543, 7326, 269, 1809, 1946, 1281, 2348, 513, 4678, 2088, 27959, 2339, 2496, 5331, 7432, 593, 519, 7641, 543, 7487, 2576, 945, 5654, 899, 596, 267, 14753, 707, 1893, 267, 543, 8188, 2147, 9620, 269, 22628, 13951, 6719, 538, 2442, 2528, 11942, 1582, 21873, 543, 7512, 11348, 538, 835, 781, 6561, 269, 23830, 849, 2636, 2043, 689, 1114, 10080, 547, 1451, 827, 1866, 262, 2833, 543, 26003, 1125, 609, 873, 269, 901, 5385, 540, 1620, 8992, 13784, 543, 4763, 1369, 2486, 780, 763, 5137, 540, 3197, 899, 4432, 6511, 3322, 3573, 1382, 267, 5698, 267, 543, 9345, 269, 19536, 267, 5159, 267, 543, 12696, 960, 1927, 547, 2327, 4977, 28402, 540, 4529, 543, 10853, 26007, 540, 11541, 2152, 5185, 676, 741, 5304, 269, 3414, 6297, 4058, 543, 11056, 267, 789, 1628, 15138, 10600, 1141, 2984, 11200, 543, 4245, 616, 4121, 780, 3383, 267, 1018, 6835, 798, 891, 1007, 27959, 6386, 6655, 547, 1762, 13588, 286, 1358, 4001, 721, 602, 1373, 21522, 3085, 1405, 1611, 1373, 4617, 282, 3079, 267, 8508, 1312, 2571, 1145, 543, 4222, 5932, 513, 23773, 4999, 269, 5015, 267, 13197, 2123, 2208, 998, 2069, 267, 11505, 267, 543, 20408, 9465, 8309, 3648, 547, 1367, 1967, 543, 8788, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 3844, 5939, 540, 513, 27694, 267, 3911, 565, 5500, 24130, 779, 10875, 4544, 7146, 22554, 2497, 568, 2731, 835, 540, 6576, 779, 11265, 25704, 269, 898, 729, 2966, 676, 7969, 4056, 25845, 1723, 19258, 565, 727, 334, 681, 770, 22641, 328, 945, 849, 2813, 519, 15604, 20066, 267, 519, 21965, 20066, 538, 32379, 7219, 267, 519, 9835, 20066, 538, 8834, 327, 1993, 543, 1617, 2595, 29532, 824, 2101, 269, 22642, 7921, 13304, 14006, 338, 269, 634, 3911, 565, 5500, 1230, 1203, 5161, 540, 519, 1196, 12715, 267, 610, 865, 828, 16224, 543, 513, 4190, 1950, 602, 27788, 621, 267, 609, 22323, 1673, 15701, 31508, 4597, 539, 609, 519, 4154, 13807, 730, 22613, 26009, 936, 519, 12406, 563, 305, 11701, 6189, 538, 519, 5403, 7169, 1974, 630, 4489, 278, 1107, 476, 4350, 273, 994, 8070, 3146, 23728, 267, 519, 1034, 9565, 25954, 626, 960, 729, 6101, 1143, 269, 901, 568, 1128, 2331, 676, 519, 18975, 540, 519, 12059, 4139, 324, 267, 799, 3769, 26009, 18700, 1958, 597, 743, 532, 4837, 20830, 269, 4014, 713, 729, 711, 9112, 267, 621, 6273, 513, 1007, 2220, 749, 540, 4020, 22999, 6189, 538, 6576, 543, 3366, 547, 519, 12032, 540, 519, 1744, 4157, 327, 990, 18975, 799, 1631, 11498, 476, 8182, 3800, 883, 519, 18293, 6607, 1467, 269, 769, 513, 2197, 540, 19497, 1922, 583, 22618, 7633, 267, 18293, 779, 1744, 4157, 327, 990, 15571, 18975, 6763, 4805, 267, 543, 621, 6763, 1164, 982, 5176, 4376, 3116, 269, 589, 476, 2004, 268, 1650, 598, 673, 2497, 540, 6216, 24775, 1740, 2966, 676, 519, 32263, 4056, 32157, 1744, 4157, 327, 990, 267, 519, 19289, 267, 799, 568, 849, 1634, 607, 968, 8168, 661, 858, 601, 892, 5654, 899, 513, 9649, 2458, 2355, 762, 16263, 267, 513, 3444, 1063, 519, 9735, 10178, 2886, 540, 3220, 1530, 1380, 543, 519, 1285, 656, 3766, 31938, 4137, 540, 22503, 341, 747, 563, 17457, 6739, 6189, 630, 3192, 271, 1107, 547, 1459, 994, 19425, 3538, 675, 25577, 538, 2413, 6576, 1141, 9993, 593, 1374, 26922, 607, 4463, 543, 23732, 941, 24850, 269, 901, 267, 5916, 609, 519, 1732, 2883, 1072, 540, 6576, 5921, 602, 519, 1101, 31508, 941, 9112, 543, 519, 18293, 4139, 6355, 10418, 729, 25517, 269, 2368, 4487, 332, 785, 338, 8359, 547, 2628, 4630, 720, 547, 5449, 6163, 26922, 607, 519, 570, 8922, 874, 20066, 538, 18293, 267, 799, 16033, 919, 23237, 626, 6189, 269, 28850, 267, 18293, 568, 513, 32154, 3575, 540, 2025, 8996, 19259, 543, 14297, 267, 2413, 2749, 2675, 16747, 1107, 513, 10875, 31484, 548, 1312, 538, 4832, 543, 942, 13050, 563, 305, 11701, 6189, 1107, 3605, 519, 1686, 540, 6576, 779, 11265, 21889, 267, 476, 6321, 628, 23155, 267, 10059, 2517, 4178, 269, 6321, 628, 1706, 5537, 2593, 29265, 11701, 268, 1105, 3538, 675, 13045, 305, 11701, 9177, 1107, 18190, 543, 570, 3637, 267, 4179, 2517, 4178, 269, 548, 327, 2006, 12975, 11721, 659, 8372, 29265, 3369, 8636, 6033, 29265, 11701, 2457, 14727, 11857, 318, 1105, 3538, 675, 11258, 454, 3412, 1137, 782, 17099, 547, 4179, 2517, 4178, 269, 6321, 628, 1706, 5537, 2593, 29265, 11701, 268, 1105, 3538, 675, 270, 0, 18439, 519, 3860, 2427, 540, 8193, 609, 3946, 6823, 2575, 6194, 2336, 1103, 744, 8243, 334, 779, 32017, 11918, 267, 3214, 6582, 2168, 8193, 7161, 883, 3270, 543, 9696, 547, 17492, 3312, 26107, 269, 634, 3014, 2501, 609, 936, 476, 4968, 7574, 4992, 547, 3132, 519, 3501, 5152, 563, 27736, 666, 9108, 2594, 543, 2671, 741, 2575, 609, 2828, 267, 1920, 543, 519, 11918, 2146, 563, 2108, 320, 5254, 292, 4456, 2861, 1995, 602, 8992, 3860, 1966, 9010, 3034, 2108, 302, 8243, 334, 32017, 11918, 11414, 1453, 8193, 609, 2575, 7536, 10666, 744, 8243, 334, 32017, 11918, 912, 272, 269, 595, 3918, 12442, 281, 8866, 476, 276, 268, 1321, 946, 8193, 7161, 547, 1711, 23292, 20054, 563, 273, 269, 19845, 27073, 281, 8866, 1205, 547, 917, 8193, 779, 3860, 2427, 1247, 3384, 606, 1274, 585, 11733, 267, 23260, 267, 543, 10103, 563, 274, 269, 15562, 22664, 281, 4495, 789, 4076, 7768, 513, 25888, 267, 3214, 666, 9108, 2671, 621, 609, 2828, 267, 1920, 543, 519, 25888, 2146, 563, 9596, 609, 938, 3946, 6823, 8193, 1893, 912, 10932, 2982, 602, 15889, 7161, 616, 513, 3014, 1680, 518, 950, 621, 2501, 547, 4543, 3214, 1451, 269, 3962, 540, 938, 7161, 568, 513, 5752, 4971, 3214, 666, 946, 547, 1711, 2189, 795, 4461, 269, 1306, 789, 2263, 4730, 609, 8193, 7161, 267, 519, 4320, 540, 1187, 2443, 543, 1565, 2443, 4991, 5828, 909, 2336, 265, 10671, 2231, 519, 744, 8243, 334, 12476, 543, 32017, 2349, 4169, 269, 3962, 4421, 14384, 610, 607, 851, 540, 744, 8243, 334, 32017, 853, 6621, 14173, 610, 744, 8243, 334, 32017, 7731, 25143, 548, 563, 265, 7490, 1294, 938, 3926, 17356, 1592, 1934, 281, 4179, 2517, 26625, 677, 269, 2452, 657, 15879, 2593, 10774, 322, 270, 14895, 270, 12893, 18089, 14444, 6187, 278, 454, 302, 8243, 334, 568, 1210, 519, 5496, 547, 1711, 513, 1007, 2635, 267, 3946, 6823, 1565, 1995, 602, 8992, 5876, 267, 1966, 9010, 543, 1514, 5872, 269, 1284, 798, 713, 609, 938, 14436, 5841, 10995, 2029, 563, 266, 8081, 585, 27317, 476, 280, 1341, 27317, 22387, 476, 277, 454, 266, 22217, 1881, 2272, 5137, 1184, 454, 266, 645, 1872, 4368, 525, 543, 2773, 9283, 454, 266, 674, 12089, 17079, 602, 1131, 2061, 27317, 22387, 476, 277, 3755, 689, 7487, 519, 2953, 14764, 5528, 454, 305, 520, 902, 543, 17352, 454, 2005, 4769, 1406, 960, 2336, 296, 1500, 513, 5152, 2063, 3018, 267, 543, 621, 5143, 803, 1250, 5152, 1131, 581, 972, 269, 713, 3018, 950, 594, 6743, 593, 4262, 8964, 267, 1948, 866, 621, 7012, 1406, 1250, 5152, 267, 899, 789, 1767, 621, 1131, 581, 269, 594, 729, 25922, 563, 1607, 3014, 568, 15813, 855, 950, 596, 1205, 782, 519, 3197, 972, 568, 1100, 946, 538, 519, 12271, 269, 594, 1131, 899, 602, 547, 581, 6378, 543, 950, 594, 2119, 547, 1265, 1250, 2575, 593, 838, 809, 344, 26107, 267, 1297, 476, 2918, 267, 594, 1265, 602, 1250, 2575, 538, 10691, 972, 269, 23893, 585, 1250, 824, 2575, 269, 19227, 713, 3014, 568, 519, 1655, 269, 594, 1131, 4363, 621, 855, 1175, 3314, 1346, 1919, 602, 1058, 581, 6378, 269, 8729, 585, 2542, 256, 2336, 9288, 513, 476, 280, 1032, 2025, 454, 2691, 594, 5129, 713, 538, 1153, 621, 729, 1390, 594, 3893, 621, 585, 1250, 14512, 594, 6836, 621, 621, 5249, 519, 1101, 1079, 2157, 1287, 621, 9327, 1405, 4452, 621, 1131, 979, 3368, 1259, 1287, 2161, 547, 1847, 621, 909, 621, 779, 1869, 568, 513, 1390, 3014, 6148, 2119, 547, 946, 513, 1114, 3926, 594, 6557, 3843, 621, 1318, 1631, 454, 10574, 21912, 547, 1411, 454, 763, 1739, 1239, 949, 581, 6394, 543, 5532, 547, 707, 3961, 912, 268, 13555, 27084, 454, 268, 26402, 4578, 454, 7468, 643, 2329, 2853, 949, 4268, 267, 585, 1383, 267, 1759, 593, 519, 2934, 596, 946, 610, 707, 2085, 269, 6258, 2859, 454, 268, 19358, 1043, 7591, 5549, 454, 268, 476, 27844, 269, 277, 15406, 454, 268, 10671, 2231, 25515, 476, 1015, 269, 271, 610, 2663, 563, 268, 10671, 2231, 27317, 5308, 476, 1015, 269, 271, 610, 2663, 563, 268, 19503, 617, 5905, 454, 268, 10671, 2231, 25515, 476, 1015, 269, 271, 610, 2663, 563, 268, 6520, 28951, 454, 268, 9736, 476, 1001, 278, 19358, 1043, 7591, 267, 5549, 563, 4415, 7731, 19457, 1305, 909, 267, 909, 547, 3670, 1920, 2818, 666, 946, 713, 813, 269, 0, 308, 9068, 267, 519, 608, 920, 618, 25875, 5714, 17515, 676, 519, 14401, 267, 543, 5627, 519, 2472, 540, 30477, 1674, 610, 12214, 3653, 540, 519, 3662, 1062, 269, 634, 2168, 543, 3114, 3197, 540, 10729, 1459, 513, 2489, 11696, 28917, 538, 1114, 5049, 540, 2831, 267, 10483, 676, 2027, 7648, 538, 2543, 547, 1880, 5820, 269, 769, 519, 1480, 1641, 519, 10729, 568, 513, 1769, 993, 828, 23469, 5714, 267, 540, 513, 1216, 344, 11007, 267, 513, 26815, 3679, 5114, 267, 543, 606, 3328, 1808, 8904, 540, 476, 272, 269, 271, 2190, 269, 4706, 3328, 3232, 7274, 568, 476, 3374, 5714, 13728, 267, 610, 476, 273, 26528, 533, 6493, 282, 855, 713, 2179, 9775, 267, 1369, 1978, 7182, 267, 2687, 547, 519, 7274, 540, 5714, 3144, 609, 519, 1426, 543, 4235, 267, 543, 602, 4503, 676, 1086, 17508, 610, 6382, 269, 1403, 519, 2179, 540, 4235, 581, 29099, 10731, 267, 513, 851, 693, 2547, 540, 519, 1216, 865, 3144, 786, 1780, 1055, 676, 519, 14401, 267, 543, 519, 10729, 786, 581, 2799, 538, 8167, 269, 2201, 519, 824, 1688, 267, 1058, 519, 1086, 17508, 689, 1022, 2014, 581, 29099, 3742, 267, 1447, 5714, 786, 581, 26809, 676, 519, 14401, 267, 543, 519, 2179, 540, 10729, 786, 581, 18867, 21022, 269, 1452, 7648, 10423, 569, 4096, 3274, 2390, 519, 2770, 551, 6672, 540, 519, 1216, 344, 5820, 540, 519, 10729, 267, 1247, 922, 4396, 23466, 616, 26483, 24240, 538, 2179, 563, 6097, 569, 267, 922, 2168, 7907, 267, 3226, 922, 2681, 267, 1808, 8904, 267, 543, 23639, 267, 4268, 896, 891, 6381, 538, 11201, 5223, 547, 922, 7274, 269, 1879, 519, 10729, 568, 10731, 689, 4430, 540, 1216, 267, 621, 568, 5493, 518, 982, 8912, 267, 922, 3679, 5114, 1447, 6825, 267, 543, 922, 1808, 8904, 21022, 269, 1879, 621, 568, 1447, 2989, 538, 2179, 689, 10638, 540, 1216, 267, 621, 568, 811, 7184, 11954, 267, 540, 513, 9244, 3679, 5114, 267, 543, 540, 513, 1164, 1808, 8904, 269, 29938, 540, 713, 2186, 2049, 689, 1554, 547, 1554, 267, 19962, 547, 10071, 531, 3123, 267, 543, 616, 14553, 1369, 519, 7182, 540, 1072, 282, 2094, 519, 4396, 5820, 540, 519, 608, 17917, 267, 8204, 519, 2472, 540, 15629, 23009, 2670, 3299, 616, 1869, 26809, 267, 538, 2901, 2013, 267, 538, 741, 1813, 8167, 269, 5381, 15088, 538, 519, 5860, 267, 2681, 267, 543, 23639, 540, 519, 10729, 1491, 1747, 6923, 693, 1585, 5712, 540, 519, 1554, 282, 602, 5293, 538, 519, 8545, 851, 540, 519, 1554, 267, 1282, 519, 3781, 267, 543, 593, 1101, 8375, 538, 519, 6640, 267, 1373, 2356, 540, 513, 2620, 2681, 267, 4956, 569, 3679, 267, 543, 540, 513, 1164, 1808, 8904, 267, 1419, 607, 1454, 607, 476, 272, 269, 271, 2764, 282, 1247, 602, 5293, 1282, 519, 2062, 12158, 543, 1647, 540, 519, 1554, 568, 26483, 12779, 267, 1419, 9243, 610, 855, 5594, 3679, 267, 543, 540, 513, 1808, 8904, 3006, 607, 1970, 607, 476, 272, 269, 28318, 610, 476, 272, 269, 26289, 269, 634, 1808, 8904, 476, 272, 269, 271, 2190, 4564, 519, 3328, 5860, 540, 782, 519, 10729, 5293, 1282, 476, 2190, 3108, 538, 513, 1533, 540, 1072, 269, 910, 634, 3328, 11156, 540, 1480, 10729, 568, 912, 308, 3433, 540, 590, 18649, 454, 308, 3433, 540, 8000, 817, 320, 454, 308, 3433, 540, 20342, 907, 19601, 289, 13023, 24043, 540, 14614, 2483, 4942, 24043, 540, 14614, 907, 2483, 4942, 24043, 540, 14614, 454, 4942, 24043, 540, 18654, 907, 2483, 4942, 24043, 540, 3172, 525, 807, 454, 2419, 3271, 728, 540, 9770, 454, 2419, 3271, 728, 540, 11379, 454, 306, 17139, 622, 540, 14614, 2807, 2483, 306, 17139, 622, 540, 1494, 817, 320, 454, 8624, 1681, 2339, 543, 22024, 9982, 27401, 2483, 8170, 891, 5820, 579, 16699, 568, 519, 1034, 8984, 543, 1271, 269, 898, 568, 513, 9436, 1242, 16358, 14184, 6219, 267, 11884, 19729, 538, 1216, 267, 543, 6818, 538, 1360, 8792, 8167, 538, 519, 2635, 1973, 540, 812, 543, 11864, 3622, 269, 898, 4564, 835, 1587, 540, 519, 12214, 3653, 610, 1427, 5766, 8565, 23009, 2670, 540, 519, 1062, 267, 1498, 621, 568, 711, 2943, 1978, 689, 1018, 2027, 1305, 540, 8031, 610, 8219, 621, 568, 6508, 269, 898, 568, 2799, 676, 16757, 11851, 542, 610, 676, 513, 2732, 540, 3662, 1426, 267, 543, 21022, 676, 1065, 846, 610, 676, 513, 2732, 9967, 540, 10448, 543, 1875, 5991, 527, 4088, 748, 6878, 269, 898, 568, 7683, 17515, 689, 519, 1973, 676, 519, 14401, 267, 1282, 922, 10009, 998, 741, 8043, 282, 543, 713, 6941, 519, 1249, 602, 267, 4352, 621, 6818, 538, 2635, 1973, 1152, 538, 519, 8167, 540, 476, 271, 269, 1626, 851, 829, 8536, 267, 621, 568, 1336, 538, 519, 10729, 538, 519, 8167, 540, 476, 1789, 2694, 829, 8536, 269, 898, 568, 267, 538, 1249, 267, 7683, 27071, 2476, 689, 519, 1973, 543, 19017, 538, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 601, 543, 24808, 519, 3961, 540, 741, 4690, 607, 1063, 2933, 267, 543, 607, 1996, 824, 2367, 269, 5257, 901, 1935, 267, 799, 15656, 717, 558, 11825, 1131, 723, 3365, 7596, 539, 630, 604, 689, 513, 1114, 2797, 5133, 1070, 13671, 3007, 593, 519, 1514, 543, 2686, 3344, 540, 4600, 262, 2729, 269, 2755, 10771, 519, 26688, 2470, 540, 4853, 16851, 593, 4600, 262, 4690, 267, 6004, 269, 16399, 849, 14751, 539, 2324, 1004, 781, 3140, 2702, 547, 3310, 519, 5912, 547, 4853, 16851, 269, 1280, 930, 12206, 4171, 960, 729, 2907, 538, 3356, 267, 6004, 269, 16399, 781, 1433, 9672, 513, 3376, 4287, 2907, 22002, 269, 901, 729, 2523, 3020, 585, 6424, 27293, 267, 513, 5449, 9769, 19191, 609, 519, 2136, 15379, 20709, 267, 1631, 513, 7548, 693, 23171, 2160, 267, 543, 9253, 341, 2106, 14878, 1993, 20391, 267, 540, 519, 3557, 2160, 540, 1715, 3840, 267, 29078, 5069, 2023, 267, 4171, 2090, 540, 8832, 4600, 1739, 519, 6406, 2782, 543, 540, 519, 11633, 20709, 540, 519, 2622, 267, 6606, 267, 8268, 519, 2495, 540, 1362, 538, 519, 2729, 540, 1114, 2516, 540, 4600, 269, 19182, 269, 8946, 6865, 4916, 2177, 24202, 1433, 849, 14626, 3660, 609, 519, 2797, 543, 7214, 7542, 618, 540, 519, 476, 3422, 271, 781, 269, 2349, 2931, 267, 2021, 543, 11082, 910, 538, 2110, 267, 1346, 945, 1185, 1044, 13840, 538, 691, 545, 3634, 910, 1631, 3576, 4099, 3942, 269, 769, 519, 1184, 267, 513, 29724, 5336, 541, 343, 626, 5943, 838, 13899, 14172, 602, 8179, 547, 4161, 3844, 4798, 538, 1977, 2351, 25086, 269, 1403, 1362, 6560, 1223, 581, 1336, 538, 3270, 540, 2686, 4187, 910, 11685, 547, 1160, 22128, 267, 585, 1383, 267, 610, 2081, 540, 2679, 9992, 11189, 12205, 538, 6803, 2950, 910, 1287, 606, 4505, 3140, 2079, 602, 14129, 519, 1463, 2797, 4082, 540, 1362, 9637, 1522, 581, 25340, 15428, 563, 2690, 930, 4074, 12206, 891, 4030, 3366, 547, 513, 556, 7721, 8727, 540, 519, 2078, 1063, 9111, 543, 4853, 16851, 269, 769, 513, 2484, 23568, 16472, 540, 3627, 12780, 267, 21142, 29861, 2917, 540, 570, 1370, 517, 3557, 5441, 7682, 539, 519, 2215, 2329, 540, 519, 1362, 1995, 538, 519, 605, 4211, 2632, 514, 4240, 593, 2985, 476, 2420, 27220, 540, 22713, 269, 1261, 2417, 11130, 267, 538, 15234, 12218, 543, 7991, 281, 634, 11633, 7169, 538, 22118, 333, 5257, 630, 3192, 277, 1070, 602, 519, 1977, 3160, 8573, 2074, 2245, 9863, 16283, 607, 4600, 21947, 741, 811, 10427, 12820, 538, 2199, 543, 6237, 12836, 269, 23745, 700, 4768, 773, 7361, 598, 2017, 1042, 538, 15234, 22998, 4658, 540, 15740, 267, 476, 5197, 271, 268, 6977, 271, 5257, 630, 2735, 271, 1070, 543, 1010, 6213, 2126, 540, 2324, 11665, 3909, 2259, 267, 6803, 3961, 543, 2797, 3661, 5795, 519, 1433, 3773, 3196, 269, 1530, 534, 12070, 550, 345, 781, 1353, 267, 15234, 2419, 1218, 14891, 281, 1715, 3840, 4975, 543, 519, 22547, 540, 519, 1977, 11554, 4147, 267, 476, 9965, 279, 268, 6977, 271, 5257, 630, 2735, 275, 1070, 6700, 602, 267, 693, 2547, 585, 3043, 5256, 29048, 267, 519, 9161, 543, 20116, 540, 14081, 22675, 9415, 1362, 9637, 269, 589, 1455, 6249, 538, 891, 543, 824, 2835, 568, 602, 519, 1353, 540, 519, 1514, 543, 2686, 2729, 540, 4600, 8761, 11994, 543, 4690, 3982, 689, 1346, 2404, 609, 519, 1647, 1362, 563, 1432, 568, 1034, 3078, 827, 519, 1655, 540, 519, 1007, 2090, 568, 602, 621, 4229, 513, 556, 628, 9722, 540, 2757, 10850, 269, 7338, 25212, 781, 29293, 540, 476, 866, 628, 10601, 6917, 2021, 781, 1950, 5912, 547, 4853, 1272, 267, 585, 1383, 267, 6920, 875, 2123, 1894, 1851, 891, 2021, 543, 741, 23440, 609, 519, 20116, 540, 519, 1977, 7169, 9415, 543, 20582, 741, 10880, 2534, 538, 519, 8899, 749, 19135, 14200, 538, 519, 476, 8146, 271, 781, 543, 476, 7277, 271, 781, 269, 7705, 918, 612, 2401, 6953, 1551, 529, 781, 26672, 573, 1433, 15234, 11073, 547, 4518, 281, 589, 3778, 540, 654, 720, 7232, 541, 940, 6468, 538, 519, 2136, 2276, 5257, 630, 2735, 273, 1070, 10953, 713, 5813, 609, 5578, 543, 8417, 2066, 1614, 5553, 540, 1977, 1686, 563, 22137, 540, 6803, 2516, 267, 741, 1871, 3889, 543, 1920, 1272, 2303, 519, 16854, 4763, 538, 1977, 1272, 267, 1247, 2090, 540, 971, 2442, 7038, 906, 607, 519, 2892, 3019, 267, 519, 23242, 1272, 543, 519, 2527, 2528, 5815, 519, 1761, 585, 1312, 4797, 4763, 543, 513, 3781, 3405, 880, 7833, 640, 269, 18601, 891, 543, 824, 2686, 2152, 568, 2565, 585, 1082, 540, 519, 1007, 12206, 1317, 621, 568, 538, 602, 10155, 267, 543, 711, 538, 519, 811, 2797, 26750, 267, 602, 789, 3409, 547, 1265, 519, 2963, 540, 10770, 1362, 3604, 269, 2334, 16122, 814, 13251, 971, 513, 6360, 540, 7463, 2090, 602, 2907, 713, 5266, 1762, 2361, 814, 3812, 3875, 12220, 269, 6276, 681, 269, 5682, 781, 15234, 13328, 540, 519, 4518, 518, 281, 8534, 538, 3828, 12351, 11416, 3013, 5257, 630, 2735, 271, 264, 568, 835, 540, 519, 811, 16367, 585, 922, 3646, 547, 11753, 519, 1585, 3344, 540, 519, 1007, 1686, 1247, 5329, 513, 8325, 3750, 593, 519, 1158, 540, 960, 3294, 563, 21953, 267, 585, 782, 519, 6602, 543, 10761, 540, 519, 2063, 8717, 267, 2055, 2611, 7282, 519, 1007, 1686, 781, 10781, 269, 769, 519, 14046, 13746, 267, 519, 10083, 540, 7522, 569, 5641, 2090, 540, 4600, 262, 2729, 568, 20402, 693, 519, 1482, 942, 602, 1007, 4612, 894, 4852, 12330, 616, 8179, 269, 2368, 13915, 979, 2417, 267, 12123, 602, 519, 3668, 540, 2757, 12250, 543, 2797, 1686, 1202, 999, 519, 1007, 8942, 786, 581, 12517, 30096, 269, 2755, 1082, 1131, 2015, 602, 1932, 10792, 513, 10385, 267, 621, 20866, 3568, 930, 5168, 269, 634, 13429, 602, 2686, 3604, 616, 8628, 543, 666, 581, 1226, 730, 609, 1362, 21441, 3788, 19796, 1190, 269, 5015, 267, 1100, 7664, 540, 1362, 9637, 602, 14543, 547, 2272, 585, 713, 2197, 781, 7292, 4606, 786, 2479, 6961, 1713, 269, 1306, 717, 342, 754, 565, 2106, 631, 1074, 781, 1271, 1007, 1433, 267, 15234, 24874, 8534, 543, 1715, 8056, 580, 7847, 538, 1977, 11572, 4886, 281, 5742, 267, 9549, 543, 3557, 267, 476, 6942, 276, 268, 4572, 271, 5257, 630, 2735, 277, 264, 19595, 721, 267, 519, 1272, 540, 1977, 4600, 3112, 581, 9674, 689, 519, 17478, 626, 8456, 602, 1860, 1082, 4892, 540, 782, 5049, 563, 4407, 519, 6574, 9740, 540, 519, 1007, 4074, 1686, 814, 1044, 547, 13236, 1272, 1394, 883, 519, 1686, 540, 1346, 4892, 5892, 16053, 267, 519, 14496, 540, 661, 269, 623, 269, 16399, 781, 6626, 2542, 540, 1362, 9637, 3788, 8969, 995, 269, 10765, 960, 538, 519, 12250, 2245, 267, 585, 1383, 267, 5267, 519, 4797, 2956, 540, 713, 1935, 538, 1620, 4600, 262, 1995, 543, 17050, 269, 7324, 1866, 267, 1079, 2160, 540, 4993, 20485, 616, 11173, 519, 14046, 2245, 540, 12780, 281, 32008, 21853, 2006, 538, 15234, 763, 22547, 540, 519, 2817, 11780, 5742, 281, 634, 4886, 543, 19043, 540, 4706, 12856, 267, 717, 1478, 940, 30543, 267, 543, 9483, 24727, 5257, 630, 4198, 276, 1070, 543, 7054, 1324, 12672, 7322, 538, 1010, 1353, 540, 519, 476, 4350, 271, 781, 267, 15234, 763, 5695, 321, 12040, 13012, 281, 589, 3778, 540, 519, 1977, 4518, 518, 267, 476, 4350, 274, 268, 3707, 272, 5257, 630, 3192, 271, 1916, 1103, 1840, 267, 519, 19427, 538, 3013, 540, 17740, 656, 2804, 7569, 609, 2864, 13416, 2797, 2534, 814, 1476, 15903, 519, 811, 2757, 31767, 2079, 543, 18362, 540, 2324, 11665, 2528, 543, 814, 2943, 547, 7866, 513, 17396, 4806, 540, 4187, 269, 898, 814, 2943, 547, 581, 3254, 602, 713, 2486, 781, 3140, 1995, 786, 17854, 519, 1603, 540, 513, 15234, 21430, 540, 519, 1977, 11554, 4147, 269, 5257, 1306, 6424, 670, 4150, 814, 5063, 6700, 538, 15234, 25567, 320, 781, 11554, 2494, 281, 4518, 267, 5851, 543, 15348, 7324, 9791, 4211, 20683, 16296, 13574, 619, 5257, 630, 2735, 275, 1070, 1977, 4600, 262, 9163, 616, 711, 1487, 24862, 547, 2901, 513, 2582, 2804, 610, 513, 4630, 18100, 2686, 10155, 269, 23532, 543, 3909, 2418, 267, 9867, 2804, 2833, 543, 3309, 2797, 7506, 30598, 1369, 606, 1367, 610, 513, 2146, 563, 2026, 4207, 9769, 1235, 5965, 547, 8661, 741, 16683, 267, 789, 849, 1522, 2992, 593, 519, 15116, 885, 540, 741, 3350, 781, 1686, 269, 1280, 513, 12102, 3350, 267, 6896, 4074, 2094, 519, 942, 540, 15656, 717, 558, 11825, 814, 12913, 4230, 15929, 2164, 585, 930, 540, 1977, 2486, 781, 2547, 3532, 4961, 269, 901, 9740, 568, 6065, 569, 11141, 538, 1769, 540, 10770, 16108, 4187, 267, 11385, 908, 22257, 1489, 543, 4074, 781, 1378, 2110, 338, 32484, 1145, 543, 28639, 269, 8534, 814, 849, 1185, 519, 796, 523, 341, 4192, 4305, 540, 29855, 5072, 538, 513, 15520, 9867, 14099, 602, 3788, 7361, 20935, 547, 7215, 540, 7104, 3961, 269, 1306, 7054, 1324, 1215, 324, 7074, 538, 15234, 12892, 1143, 543, 3013, 5257, 630, 2735, 276, 1070, 519, 2565, 1977, 7242, 15234, 4621, 1235, 538, 513, 3838, 30373, 1547, 1547, 1547, 602, 3013, 568, 519, 1753, 540, 513, 1004, 8032, 676, 610, 693, 2547, 4687, 538, 3038, 2064, 269, 5257, 11635, 1227, 267, 621, 568, 713, 2631, 540, 1364, 1113, 12556, 267, 540, 1373, 15234, 16058, 640, 781, 2034, 1496, 543, 267, 835, 31268, 267, 2063, 9948, 4960, 267, 5257, 602, 2636, 15234, 516, 31437, 7254, 794, 585, 519, 1977, 1381, 540, 1367, 1143, 269, 5257, 769, 971, 513, 4259, 267, 519, 957, 540, 15234, 339, 1779, 514, 262, 9769, 5257, 814, 4749, 1044, 513, 811, 15982, 543, 6946, 3375, 982, 568, 1419, 6956, 610, 4794, 26476, 1176, 6045, 5861, 2632, 514, 826, 2542, 519, 1292, 1650, 0, 1607, 2534, 568, 2966, 547, 948, 2875, 2697, 5276, 8424, 543, 7299, 7285, 269, 4841, 723, 476, 1428, 6486, 602, 789, 991, 547, 4990, 883, 476, 274, 6688, 281, 12430, 623, 4202, 267, 26432, 27449, 543, 26681, 563, 268, 476, 1428, 9315, 23037, 630, 273, 7306, 7792, 782, 593, 476, 272, 2985, 610, 476, 277, 6486, 547, 513, 2985, 994, 268, 590, 15659, 631, 1846, 454, 1892, 13852, 960, 454, 1892, 4530, 5623, 454, 1892, 6744, 585, 1620, 454, 288, 24440, 15942, 4528, 540, 713, 2534, 568, 849, 2139, 585, 5616, 15858, 0, 12041, 2433, 700, 6511, 25538, 1676, 563, 13775, 2433, 6129, 267, 3057, 476, 2190, 476, 1001, 280, 2433, 280, 7537, 563, 26705, 2433, 795, 17989, 10768, 701, 326, 563, 1103, 2489, 267, 606, 1557, 568, 11295, 538, 1614, 2694, 4534, 606, 4367, 267, 519, 1560, 267, 519, 3932, 269, 6056, 540, 519, 4367, 607, 513, 2582, 5037, 2966, 547, 6338, 519, 5098, 3948, 269, 10705, 7606, 1628, 606, 2606, 5037, 1354, 2348, 2919, 606, 2500, 5098, 3948, 10834, 1447, 982, 519, 1034, 2500, 3919, 540, 3206, 827, 519, 1888, 540, 513, 1957, 256, 769, 713, 2376, 267, 1210, 606, 1383, 5098, 3948, 267, 519, 1646, 540, 606, 2606, 5037, 585, 606, 4890, 1557, 7084, 568, 4330, 563, 22117, 338, 616, 2462, 269, 1403, 707, 1101, 11116, 540, 513, 7594, 568, 15280, 267, 596, 319, 516, 2693, 547, 2322, 519, 23643, 1524, 543, 1289, 585, 1491, 13050, 269, 1411, 319, 557, 3893, 547, 10544, 3988, 689, 519, 1205, 30559, 269, 2290, 1505, 568, 1463, 2232, 269, 3371, 26141, 519, 1291, 689, 606, 2376, 540, 9553, 827, 21594, 281, 6056, 540, 707, 5172, 1433, 269, 3143, 267, 1732, 2943, 267, 979, 543, 1205, 707, 5172, 1433, 267, 1745, 922, 646, 1111, 538, 707, 1688, 267, 16212, 998, 922, 3817, 267, 9329, 922, 1433, 1145, 269, 3367, 513, 8574, 610, 1079, 547, 6494, 602, 6908, 540, 31168, 998, 707, 2212, 267, 519, 620, 17057, 344, 602, 4386, 950, 519, 2854, 2262, 2458, 1938, 609, 519, 6464, 540, 707, 9637, 269, 5548, 697, 568, 519, 4829, 540, 602, 16580, 269, 898, 6645, 519, 5467, 547, 798, 1945, 267, 609, 513, 3308, 543, 2283, 783, 2796, 269, 898, 26141, 2182, 585, 513, 5467, 711, 547, 1224, 602, 1291, 543, 2057, 3257, 1018, 621, 13668, 267, 693, 2547, 538, 519, 5467, 26141, 9345, 269, 3371, 26141, 1776, 1291, 540, 9553, 602, 3217, 513, 1114, 8214, 267, 835, 540, 8446, 610, 6568, 281, 2480, 583, 1479, 8117, 339, 1185, 621, 602, 22526, 14295, 1633, 267, 519, 798, 344, 26413, 540, 15832, 5830, 267, 1705, 1454, 540, 1200, 2038, 1603, 693, 519, 14440, 267, 22880, 21736, 269, 1717, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4767, 538, 2361, 2175, 267, 1519, 24466, 7592, 543, 10286, 6556, 269, 898, 568, 4092, 896, 513, 22058, 730, 4764, 12062, 267, 7863, 519, 8062, 689, 4764, 693, 519, 6098, 7693, 3942, 543, 3850, 585, 1032, 1037, 946, 563, 5746, 12613, 312, 307, 568, 18507, 547, 519, 5204, 978, 31980, 7690, 585, 12655, 11982, 585, 922, 2883, 1489, 540, 519, 9744, 543, 519, 4139, 15867, 1186, 3194, 4659, 585, 519, 12054, 328, 268, 1488, 573, 570, 1886, 923, 585, 3246, 2230, 543, 824, 26848, 1489, 538, 9591, 713, 2189, 9744, 269, 0, 7367, 15301, 335, 269, 476, 9965, 264, 7617, 540, 519, 1739, 1131, 581, 851, 540, 606, 10721, 1604, 888, 290, 4710, 879, 910, 3848, 476, 5881, 1948, 7367, 25583, 281, 3525, 4733, 307, 8084, 281, 31131, 1944, 12856, 281, 20492, 543, 20871, 13911, 281, 24366, 7871, 15301, 335, 269, 476, 5197, 264, 1432, 1826, 540, 1895, 1281, 513, 1268, 2697, 609, 543, 723, 2318, 4606, 2509, 888, 290, 4710, 879, 910, 3848, 476, 5881, 1948, 7871, 25583, 281, 9978, 307, 8084, 281, 5295, 538, 20492, 543, 20871, 13911, 281, 11310, 7918, 15301, 335, 269, 476, 5197, 264, 288, 1895, 1141, 513, 1268, 814, 2942, 4606, 2509, 543, 15109, 922, 2818, 547, 581, 2630, 873, 568, 1018, 1826, 540, 1895, 888, 290, 4710, 879, 910, 3848, 476, 5881, 1948, 7918, 25583, 281, 9978, 307, 8084, 281, 5295, 538, 20492, 543, 20871, 13911, 281, 11310, 0, 7356, 320, 1047, 267, 9854, 267, 11132, 30046, 267, 17537, 267, 2587, 1470, 539, 9047, 1070, 2960, 5114, 24697, 11219, 28427, 5204, 526, 668, 267, 6757, 28603, 531, 683, 23145, 569, 3974, 267, 6797, 5821, 269, 3848, 476, 9032, 281, 30127, 269, 476, 14093, 274, 12901, 25030, 842, 923, 630, 13900, 2381, 2195, 616, 21313, 17494, 543, 606, 1492, 331, 2381, 2195, 616, 5061, 1996, 873, 264, 288, 10611, 1815, 1758, 1125, 519, 1292, 11257, 585, 927, 2381, 628, 15633, 269, 4746, 267, 2697, 950, 3075, 3797, 568, 9090, 8612, 267, 607, 1134, 607, 2188, 602, 949, 840, 2850, 3075, 3797, 11053, 13015, 585, 927, 2381, 628, 15633, 568, 711, 2141, 8612, 607, 1034, 540, 519, 15495, 630, 333, 14670, 18649, 267, 524, 652, 1712, 267, 1726, 3901, 18649, 264, 798, 711, 16196, 538, 519, 1480, 1560, 269, 769, 519, 9000, 540, 5368, 325, 652, 566, 267, 789, 3274, 1016, 2515, 543, 607, 2937, 17494, 5884, 269, 9615, 568, 4781, 269, 769, 2477, 1141, 7426, 543, 6646, 568, 2139, 267, 3075, 3797, 568, 9090, 8612, 269, 1809, 538, 1447, 26752, 2127, 267, 15324, 3800, 948, 676, 5355, 9882, 663, 17594, 19057, 269, 513, 8160, 20623, 754, 31152, 630, 309, 1069, 2135, 2567, 1775, 269, 5825, 539, 585, 15499, 5180, 19095, 630, 333, 14670, 18649, 1040, 898, 1579, 1513, 23588, 609, 8930, 19095, 267, 13622, 19095, 267, 543, 9649, 5180, 19095, 4512, 8160, 29151, 281, 11151, 19718, 540, 7280, 676, 11630, 17494, 543, 7280, 22975, 2164, 538, 3500, 2669, 269, 536, 269, 2704, 321, 754, 31152, 630, 2704, 17754, 5633, 2567, 328, 269, 5825, 539, 1996, 1082, 524, 652, 1712, 630, 339, 1901, 11988, 1070, 543, 29712, 1712, 630, 1037, 11988, 264, 15495, 1519, 585, 12586, 9366, 540, 547, 29646, 1151, 1756, 543, 20192, 514, 11484, 748, 11491, 592, 2670, 269, 2704, 321, 754, 31152, 568, 513, 3075, 540, 3903, 585, 23588, 540, 13622, 11988, 267, 8930, 11988, 267, 627, 11069, 19095, 267, 9649, 1037, 21431, 267, 20230, 5180, 11988, 267, 4457, 6797, 2770, 651, 4512, 8160, 29151, 281, 29620, 12249, 1436, 540, 8685, 6081, 543, 11151, 11118, 32194, 2890, 30344, 2737, 543, 607, 513, 1267, 19718, 540, 7280, 568, 15286, 269, 25831, 269, 4696, 305, 281, 7646, 21524, 4733, 6797, 15717, 267, 5642, 20768, 21109, 865, 621, 666, 322, 1021, 989, 3757, 592, 26014, 2670, 267, 11491, 592, 7514, 9008, 29646, 267, 1058, 711, 581, 1031, 9176, 1768, 520, 8328, 269, 524, 10422, 344, 7949, 601, 533, 2459, 334, 622, 630, 303, 514, 29930, 264, 328, 269, 5825, 539, 1996, 15499, 29712, 3941, 267, 8930, 19095, 543, 13622, 19095, 269, 20010, 547, 803, 321, 754, 31152, 267, 11549, 754, 31152, 269, 4512, 8160, 29151, 281, 1244, 6897, 3278, 29648, 31100, 17527, 8665, 602, 3123, 838, 2880, 26900, 540, 15499, 15495, 602, 616, 23498, 538, 28797, 269, 13839, 269, 4696, 309, 281, 22542, 282, 562, 23218, 267, 13165, 267, 7181, 1928, 267, 21994, 267, 546, 4900, 1465, 323, 15660, 591, 332, 24514, 630, 1805, 668, 624, 565, 264, 2433, 328, 269, 5825, 539, 1996, 1082, 29712, 3941, 282, 522, 577, 665, 518, 857, 12118, 267, 15499, 2178, 2643, 1355, 5362, 267, 849, 1031, 547, 21746, 543, 561, 823, 269, 0, 291, 3754, 568, 513, 13455, 1974, 540, 2630, 5991, 5436, 1216, 8244, 269, 898, 568, 513, 18596, 543, 5001, 7613, 267, 855, 519, 11335, 19438, 568, 2938, 607, 513, 1360, 7925, 1604, 538, 713, 5133, 267, 543, 1620, 3140, 10980, 2175, 538, 713, 1858, 568, 2556, 547, 1544, 17846, 2994, 547, 2417, 3068, 2104, 2916, 1689, 5222, 269, 634, 1699, 1382, 729, 6322, 693, 519, 6609, 540, 10980, 2175, 543, 4720, 585, 519, 8805, 16492, 3148, 630, 338, 4822, 7977, 1070, 12290, 676, 519, 2079, 540, 606, 538, 2198, 6482, 6538, 799, 6227, 513, 1298, 27812, 1974, 689, 476, 4489, 279, 547, 476, 1001, 280, 269, 9208, 1242, 2776, 27457, 2787, 12039, 630, 9915, 296, 264, 942, 3126, 941, 18949, 539, 585, 1114, 13250, 2053, 322, 2297, 630, 5228, 476, 274, 547, 476, 4366, 3275, 264, 543, 519, 9168, 28553, 11860, 754, 718, 543, 7354, 781, 4255, 941, 4294, 547, 2697, 9501, 296, 2242, 936, 942, 269, 9501, 296, 942, 3126, 941, 6140, 4299, 676, 513, 2942, 7678, 267, 1713, 585, 513, 1360, 1804, 1858, 540, 519, 3148, 267, 3226, 10423, 585, 519, 13250, 10253, 3476, 982, 476, 1321, 3275, 269, 6399, 10980, 8653, 630, 13270, 291, 1070, 10335, 630, 300, 9169, 264, 543, 8445, 630, 300, 7894, 264, 941, 2417, 3467, 11567, 585, 1312, 9793, 630, 9915, 296, 10922, 910, 272, 264, 543, 5393, 4049, 2175, 630, 9915, 296, 10922, 910, 273, 1040, 634, 13250, 4336, 4299, 519, 10980, 2934, 267, 609, 3476, 8653, 543, 3677, 10335, 2404, 609, 519, 3677, 13250, 10253, 269, 667, 3754, 4162, 8901, 3270, 941, 711, 21412, 585, 519, 1114, 9501, 296, 2053, 322, 2297, 281, 952, 8653, 543, 10335, 941, 3677, 538, 519, 7013, 2127, 267, 19589, 7902, 6140, 4049, 538, 519, 7187, 2127, 540, 519, 3148, 269, 26184, 569, 4049, 2621, 941, 12286, 676, 10156, 546, 15342, 543, 3677, 10335, 3379, 547, 519, 9793, 10980, 2621, 855, 941, 1360, 1447, 7928, 630, 1478, 476, 4037, 4939, 1447, 1287, 264, 543, 1705, 711, 2408, 547, 581, 5059, 593, 1808, 2127, 540, 519, 3148, 563, 30106, 20738, 334, 10573, 10112, 20156, 540, 1298, 27812, 630, 4489, 279, 1700, 1001, 280, 264, 10980, 2934, 538, 519, 8805, 16492, 3148, 676, 3140, 538, 2198, 7403, 630, 338, 4822, 7977, 10245, 299, 32670, 15477, 2752, 14888, 267, 4165, 8205, 630, 17357, 22046, 532, 994, 347, 10574, 1019, 1435, 321, 997, 1794, 7748, 10573, 1708, 272, 2008, 347, 7343, 732, 562, 16279, 9133, 860, 773, 10573, 272, 269, 272, 269, 272, 3203, 545, 23383, 647, 678, 643, 16695, 598, 20396, 347, 0, 13707, 5021, 3232, 13907, 281, 513, 31387, 585, 1216, 2298, 454, 267, 5147, 476, 1220, 272, 454, 763, 3804, 540, 519, 8549, 4826, 21694, 6513, 2920, 540, 476, 3192, 273, 267, 2663, 26948, 519, 11162, 4826, 2920, 630, 290, 23354, 1070, 568, 547, 834, 6135, 648, 543, 2226, 519, 3114, 267, 2168, 267, 543, 6211, 8699, 540, 519, 13780, 781, 7297, 4799, 8967, 582, 606, 5470, 538, 707, 2376, 286, 13555, 30960, 18722, 693, 18078, 17106, 11333, 3820, 269, 1280, 1344, 593, 13844, 513, 5299, 540, 606, 2376, 267, 6665, 527, 519, 4959, 10621, 5240, 24393, 2985, 563, 15675, 513, 7756, 8191, 0, 14240, 540, 5111, 454, 763, 2262, 5111, 3096, 476, 1724, 5022, 281, 513, 267, 513, 267, 552, 267, 1775, 267, 561, 267, 544, 267, 522, 267, 533, 267, 533, 267, 678, 267, 512, 267, 1535, 267, 586, 454, 32191, 568, 1404, 762, 538, 912, 13614, 902, 540, 5111, 454, 611, 341, 269, 910, 2060, 19406, 282, 865, 607, 547, 16977, 282, 5176, 563, 8448, 1913, 609, 519, 1482, 4484, 8424, 454, 8340, 1913, 5627, 519, 4484, 10659, 1336, 538, 5111, 269, 0, 298, 327, 1690, 3120, 14833, 1158, 6561, 3135, 454, 298, 327, 1690, 3120, 14833, 910, 15332, 519, 661, 8527, 6291, 10609, 1690, 3120, 14833, 267, 513, 20648, 2622, 11595, 3135, 538, 8496, 27256, 21423, 267, 3127, 568, 4583, 585, 922, 9699, 543, 27454, 17633, 543, 922, 2511, 540, 11265, 13513, 269, 4095, 6189, 814, 2141, 1044, 22679, 529, 1438, 1813, 547, 454, 298, 327, 1690, 3120, 14833, 1107, 15332, 519, 661, 8527, 6291, 454, 298, 327, 1690, 3120, 14833, 267, 513, 20648, 2622, 11595, 3135, 538, 8496, 27256, 21423, 267, 3127, 568, 4583, 585, 922, 9699, 543, 27454, 17633, 543, 922, 2511, 540, 11265, 13513, 563, 24465, 6189, 814, 2141, 1044, 22679, 529, 1438, 1813, 547, 922, 3172, 534, 14383, 543, 519, 1148, 344, 13144, 269, 3776, 2197, 814, 513, 30162, 540, 20375, 267, 3046, 20529, 543, 2413, 2065, 5656, 799, 16079, 519, 8941, 540, 741, 5736, 269, 3127, 568, 3638, 538, 922, 1686, 543, 6189, 269, 1703, 616, 1585, 11265, 21889, 267, 799, 616, 851, 540, 519, 20648, 1158, 6561, 4609, 269, 7324, 560, 476, 279, 1789, 2622, 11595, 4609, 7396, 676, 20648, 267, 476, 2918, 4866, 547, 3127, 269, 3127, 814, 2938, 513, 1297, 540, 11265, 6163, 799, 2919, 519, 1576, 540, 1686, 269, 901, 942, 267, 649, 616, 10023, 835, 811, 11265, 17576, 540, 3127, 267, 10609, 1690, 3120, 14833, 563, 298, 327, 1690, 3120, 14833, 568, 513, 4884, 538, 519, 4095, 1533, 540, 8496, 27256, 21423, 267, 4092, 538, 932, 1002, 17369, 584, 10588, 269, 898, 814, 519, 2197, 779, 4102, 1895, 540, 10120, 9699, 543, 27454, 17633, 269, 634, 10609, 1690, 3120, 14833, 1895, 540, 20375, 814, 1044, 7396, 607, 513, 20648, 2622, 11595, 13505, 2094, 476, 2735, 277, 543, 568, 2808, 835, 540, 519, 968, 572, 1597, 13300, 892, 540, 3127, 563, 763, 17633, 540, 10609, 1690, 3120, 14833, 616, 4092, 538, 519, 25143, 601, 330, 8518, 3148, 540, 519, 3844, 4095, 1533, 540, 8496, 27256, 21423, 269, 1358, 616, 606, 1271, 543, 2189, 1895, 540, 11265, 21889, 6131, 547, 519, 2101, 10971, 540, 32251, 543, 31155, 20692, 543, 513, 3099, 540, 824, 9699, 10971, 269, 634, 17633, 616, 1034, 4583, 585, 519, 2144, 5328, 11454, 1286, 19133, 267, 4352, 891, 1286, 19133, 2099, 1152, 827, 476, 1015, 260, 540, 519, 2698, 15022, 3512, 725, 269, 634, 17633, 10123, 29428, 519, 7365, 540, 32251, 543, 3474, 341, 10620, 543, 849, 29428, 543, 8956, 2021, 269, 1358, 29428, 849, 519, 7772, 540, 1272, 267, 607, 972, 616, 849, 3875, 10207, 540, 4948, 1272, 563, 763, 25941, 7578, 630, 528, 25941, 11253, 264, 15438, 12199, 713, 851, 540, 3844, 3127, 689, 519, 476, 280, 628, 547, 519, 3735, 476, 1321, 628, 5553, 543, 3710, 713, 7415, 11454, 1895, 538, 835, 540, 741, 3854, 4872, 269, 20290, 782, 7902, 1282, 519, 5618, 4627, 1032, 12732, 1063, 476, 31405, 543, 476, 10755, 271, 630, 821, 729, 3710, 689, 24790, 540, 4505, 17633, 538, 519, 3735, 476, 866, 628, 2540, 1916, 763, 8498, 540, 10609, 1690, 3120, 14833, 7930, 4503, 922, 2956, 543, 676, 519, 476, 1626, 628, 2540, 729, 2864, 28971, 269, 634, 17633, 8593, 10352, 547, 519, 26570, 1765, 704, 4257, 10169, 2352, 547, 4952, 1631, 950, 9683, 519, 1858, 269, 898, 729, 1152, 538, 519, 476, 866, 628, 2540, 602, 519, 1158, 3544, 540, 3127, 630, 663, 540, 1454, 540, 3127, 3294, 264, 2968, 5432, 609, 519, 17633, 269, 2986, 519, 3312, 476, 5952, 17633, 267, 1152, 476, 2420, 610, 865, 7639, 2221, 267, 930, 538, 1360, 4057, 2783, 563, 2467, 616, 1614, 2101, 2516, 540, 17633, 693, 10609, 1690, 3120, 14833, 281, 519, 25878, 1895, 540, 27454, 17633, 267, 519, 7262, 1895, 540, 23347, 2006, 673, 17633, 547, 32251, 543, 31155, 20692, 267, 543, 519, 7187, 1895, 540, 28446, 880, 333, 6072, 17633, 563, 7197, 540, 519, 17633, 693, 10609, 1690, 3120, 14833, 941, 3710, 1210, 32498, 855, 2185, 849, 1031, 25342, 538, 741, 4070, 269, 769, 519, 8545, 1895, 568, 519, 24755, 12584, 520, 962, 690, 7236, 630, 5038, 21915, 878, 15831, 525, 1070, 3710, 524, 269, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 279, 281, 17791, 25924, 910, 634, 8892, 540, 16362, 6250, 1080, 692, 5331, 1373, 2111, 547, 1294, 513, 4387, 689, 519, 4313, 540, 707, 1378, 1753, 256, 3143, 811, 7996, 11623, 4904, 609, 7210, 1004, 267, 1100, 991, 547, 4413, 1153, 610, 960, 1175, 547, 1205, 513, 2638, 1575, 269, 16319, 899, 1945, 856, 540, 513, 2257, 5708, 7260, 267, 1318, 286, 4270, 267, 621, 781, 2965, 2009, 7064, 547, 7658, 25924, 2439, 3383, 1018, 4010, 568, 7658, 25924, 286, 898, 781, 3274, 1210, 2029, 267, 971, 607, 5904, 543, 16389, 267, 547, 1683, 2564, 1416, 20716, 269, 1411, 666, 723, 20499, 609, 7189, 936, 3381, 10004, 267, 6494, 5961, 540, 7063, 610, 30919, 267, 543, 1256, 1205, 1095, 18587, 2366, 2786, 547, 707, 2199, 26849, 269, 1215, 3579, 568, 602, 31841, 3086, 596, 1522, 581, 11842, 875, 713, 782, 1568, 3297, 519, 10207, 269, 1703, 616, 1079, 1292, 2694, 547, 1818, 2386, 7658, 25924, 8255, 12347, 281, 2657, 6176, 5303, 630, 295, 3951, 264, 543, 2657, 769, 8971, 1436, 269, 670, 3951, 2882, 1919, 899, 5907, 1072, 5638, 267, 799, 948, 1832, 3950, 540, 2550, 262, 2564, 1686, 543, 5574, 269, 2657, 769, 8971, 1436, 4016, 547, 519, 1184, 540, 7432, 3782, 883, 3059, 3898, 865, 602, 621, 666, 581, 3362, 3838, 1063, 7189, 267, 10506, 267, 22475, 267, 543, 824, 3782, 7426, 780, 4131, 781, 2911, 827, 930, 1483, 3734, 1806, 540, 875, 7658, 25924, 568, 4657, 519, 1259, 649, 4309, 2564, 1416, 269, 4438, 519, 2487, 6855, 267, 1082, 1004, 941, 12922, 547, 4734, 741, 5321, 1317, 789, 4769, 1405, 1616, 547, 1981, 3478, 7210, 269, 1809, 789, 1869, 2877, 1569, 547, 3782, 269, 2334, 781, 1141, 7658, 25924, 3357, 538, 13561, 256, 4658, 1223, 3643, 609, 741, 7189, 998, 3381, 7125, 267, 3850, 873, 547, 3251, 2922, 693, 1753, 1247, 8391, 2556, 2126, 780, 5194, 1383, 2501, 689, 6917, 2127, 1141, 972, 949, 1152, 581, 835, 1507, 6413, 610, 16758, 7674, 7366, 540, 4009, 5195, 269, 14904, 2713, 2484, 2476, 689, 891, 6703, 1419, 3068, 1279, 2951, 2053, 950, 5275, 2564, 3007, 269, 2060, 7658, 25924, 267, 12665, 4092, 538, 3677, 4872, 666, 5077, 609, 2550, 12303, 267, 4227, 519, 991, 585, 17890, 15143, 543, 4180, 3025, 4991, 2298, 1416, 7488, 540, 4087, 780, 3719, 1354, 649, 1205, 1932, 9599, 827, 782, 519, 2640, 540, 7658, 25924, 267, 621, 781, 1271, 547, 3314, 602, 972, 616, 849, 2591, 3238, 269, 2290, 2101, 4161, 568, 4180, 3461, 7834, 543, 3354, 2094, 6213, 2564, 1344, 786, 581, 10299, 6475, 1227, 269, 6271, 3390, 568, 1818, 2386, 602, 1312, 7189, 543, 2550, 723, 3160, 1569, 547, 6325, 2029, 2838, 585, 5691, 11564, 269, 22749, 267, 3506, 267, 543, 2950, 1590, 960, 1927, 547, 7753, 891, 9465, 865, 602, 3025, 666, 4324, 689, 713, 5863, 5647, 780, 2026, 938, 1158, 3587, 5051, 4448, 267, 4952, 519, 7399, 585, 2104, 7760, 538, 7658, 25924, 256, 9320, 14693, 4166, 267, 649, 3513, 723, 11608, 7900, 2241, 23361, 610, 5841, 4987, 1949, 7421, 1950, 2564, 2592, 269, 5808, 6487, 1018, 1007, 8906, 24098, 721, 538, 713, 4241, 2361, 2496, 12244, 912, 19667, 728, 883, 2516, 543, 16540, 2081, 596, 1589, 7658, 25924, 1223, 2417, 1689, 519, 5251, 540, 3782, 538, 519, 1985, 8717, 269, 9523, 707, 2093, 609, 519, 1362, 543, 1865, 1022, 4145, 610, 2055, 6659, 676, 707, 11236, 269, 5457, 267, 4376, 568, 2009, 950, 649, 2322, 938, 8186, 547, 621, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3528, 7311, 4359, 1072, 1344, 2029, 547, 519, 1072, 1416, 2361, 267, 1072, 1217, 26494, 2337, 11126, 1072, 4199, 14305, 267, 2087, 1072, 1416, 2533, 267, 543, 8275, 8471, 1072, 3795, 269, 5046, 268, 866, 814, 7318, 519, 4567, 28943, 540, 3624, 779, 1072, 1217, 26494, 267, 13031, 2591, 547, 519, 1072, 1416, 1062, 269, 901, 21169, 27786, 519, 1646, 267, 4567, 28943, 267, 543, 2259, 540, 3624, 779, 1072, 1217, 26494, 267, 2523, 1282, 5046, 268, 866, 267, 543, 2306, 7840, 547, 2232, 519, 1072, 1217, 26494, 2591, 269, 1284, 6394, 267, 12290, 267, 543, 11117, 1239, 593, 519, 1646, 540, 3624, 779, 1072, 1217, 26494, 689, 2947, 5380, 1765, 8234, 1344, 5989, 267, 1344, 2029, 630, 3951, 264, 3156, 267, 2883, 543, 7214, 5092, 267, 1072, 4199, 14305, 267, 543, 3044, 1062, 11652, 5941, 519, 4567, 28943, 540, 519, 4950, 7132, 1072, 1416, 3028, 4806, 1282, 5046, 268, 866, 269, 634, 1292, 1239, 2959, 3769, 3624, 779, 3609, 6054, 543, 3084, 4566, 593, 1072, 1775, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5938, 548, 25924, 257, 607, 851, 540, 834, 25503, 1315, 769, 26197, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7170, 281, 1215, 547, 19928, 1393, 547, 681, 4078, 23667, 543, 12655, 12754, 5004, 692, 272, 269, 13760, 519, 2956, 540, 556, 16396, 281, 681, 4078, 23667, 4016, 547, 519, 1184, 540, 4562, 13589, 4054, 538, 7733, 602, 723, 1044, 2759, 1524, 610, 28811, 1813, 547, 1480, 2238, 971, 607, 19883, 267, 6683, 267, 543, 20012, 269, 1635, 19620, 891, 7733, 267, 649, 948, 8190, 9265, 267, 8396, 2916, 1689, 267, 2149, 3037, 1072, 267, 543, 2226, 1216, 2298, 563, 273, 269, 6258, 827, 2199, 3529, 2249, 281, 25800, 3054, 609, 5065, 3529, 2249, 538, 707, 1858, 676, 17874, 6237, 27386, 10651, 267, 2825, 8041, 267, 610, 6280, 10137, 2533, 269, 19805, 3617, 2249, 5849, 3811, 2208, 543, 1732, 9542, 547, 2199, 2175, 563, 274, 269, 10576, 5078, 6753, 585, 9544, 281, 6733, 585, 1930, 5624, 267, 22841, 3338, 267, 610, 28811, 2127, 1141, 4054, 666, 1332, 1510, 4929, 2800, 547, 7404, 8134, 269, 901, 949, 1331, 14460, 3484, 4133, 267, 2059, 9897, 1938, 267, 5757, 3316, 802, 267, 610, 1256, 4357, 3601, 609, 2244, 26782, 10479, 563, 275, 269, 5136, 1555, 2556, 14998, 543, 27704, 281, 13689, 593, 519, 4087, 543, 4336, 540, 707, 1788, 267, 596, 1522, 991, 14998, 689, 2199, 8128, 269, 11408, 2327, 10220, 609, 6042, 1354, 23312, 563, 276, 269, 31313, 609, 2199, 3906, 281, 11622, 622, 609, 2146, 2516, 267, 3506, 267, 1875, 2889, 22327, 267, 610, 2229, 9988, 5059, 593, 5726, 3646, 269, 1358, 1419, 1683, 5583, 267, 1489, 267, 543, 2200, 2877, 585, 3811, 556, 16396, 3785, 563, 277, 269, 5029, 1125, 513, 9544, 2680, 281, 20283, 13538, 267, 2828, 267, 1920, 2818, 267, 610, 9164, 547, 7119, 538, 1895, 2030, 902, 269, 3629, 2312, 5528, 267, 2645, 267, 17309, 267, 543, 29295, 906, 547, 1832, 3025, 7722, 543, 12592, 2429, 519, 1554, 563, 278, 269, 16259, 519, 3135, 5265, 281, 13068, 11935, 267, 4894, 12362, 2249, 267, 3138, 4923, 11741, 539, 11934, 267, 543, 1711, 1507, 9475, 585, 19155, 1210, 15524, 12069, 610, 7463, 3529, 9544, 13063, 269, 19321, 1434, 19437, 1063, 2371, 2687, 547, 741, 9921, 2450, 543, 3262, 563, 279, 269, 7233, 1094, 31958, 7157, 281, 9255, 1142, 6079, 1782, 9900, 883, 519, 5423, 8559, 267, 4180, 602, 5072, 616, 3262, 856, 543, 4988, 609, 3037, 269, 4964, 16119, 1472, 519, 3490, 547, 9004, 2011, 22836, 543, 3895, 1697, 3346, 1063, 3597, 1949, 543, 4478, 3618, 563, 280, 269, 25109, 577, 1472, 12630, 4054, 281, 15233, 22890, 630, 7945, 607, 3574, 13365, 610, 12450, 264, 1472, 519, 3490, 540, 9241, 12630, 4054, 547, 11677, 7509, 267, 16401, 18290, 2208, 267, 10038, 2837, 267, 543, 2061, 11761, 269, 5901, 22890, 693, 2547, 3670, 6279, 2476, 689, 959, 16218, 547, 2057, 4232, 2152, 563, 1015, 269, 18554, 3356, 5781, 281, 6744, 593, 12630, 4054, 21237, 547, 2708, 6668, 3928, 267, 2232, 1761, 2042, 899, 10860, 610, 3676, 267, 543, 1683, 3606, 1416, 950, 2556, 269, 4826, 873, 1282, 3819, 5712, 952, 11811, 568, 13385, 563, 1556, 269, 13363, 1762, 4054, 281, 12305, 8825, 7496, 630, 324, 3052, 1421, 3529, 22651, 610, 535, 9760, 264, 1472, 7925, 1094, 31958, 547, 15658, 2831, 267, 6472, 267, 610, 824, 10898, 602, 1223, 3441, 610, 6146, 6932, 10664, 563, 1321, 269, 32754, 4264, 4199, 2359, 2853, 281, 5917, 11229, 585, 3743, 4616, 6208, 267, 9657, 7341, 267, 1648, 4398, 3800, 267, 543, 4389, 3653, 2504, 269, 11559, 1866, 547, 9772, 10357, 7888, 19824, 543, 4497, 538, 2199, 5726, 3646, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 1772, 25166, 5454, 281, 1548, 10020, 12518, 7591, 769, 25166, 5454, 3047, 6713, 454, 2691, 621, 2501, 547, 519, 3106, 543, 3354, 540, 519, 1158, 267, 835, 540, 519, 1360, 1101, 1919, 602, 2097, 547, 938, 2247, 568, 547, 1118, 2386, 602, 649, 5150, 519, 4540, 2067, 2200, 269, 1452, 2200, 1331, 4104, 267, 1216, 267, 543, 1379, 269, 1703, 616, 1082, 1114, 3906, 602, 616, 2324, 585, 519, 556, 16447, 609, 519, 2832, 540, 3246, 519, 1158, 609, 922, 3312, 1106, 563, 2252, 649, 2253, 547, 3565, 938, 1378, 3787, 538, 519, 1184, 540, 556, 16447, 267, 649, 786, 581, 2111, 547, 1118, 17386, 2242, 538, 519, 4947, 1906, 1296, 269, 6969, 649, 2007, 2620, 883, 1018, 621, 568, 556, 16447, 267, 1934, 616, 930, 540, 519, 4128, 649, 20882, 596, 547, 2015, 6940, 543, 2030, 513, 2067, 4104, 538, 519, 2127, 1472, 721, 563, 3963, 7233, 19029, 912, 2691, 649, 1413, 1472, 538, 1034, 540, 519, 4683, 4872, 540, 519, 1158, 267, 1631, 649, 666, 1152, 2631, 5656, 543, 13123, 269, 5983, 7370, 616, 1373, 909, 549, 6838, 689, 519, 8998, 540, 519, 3618, 269, 5620, 596, 2808, 519, 3618, 547, 581, 835, 540, 519, 2713, 4703, 286, 1403, 519, 2219, 814, 2479, 18084, 707, 2247, 269, 3973, 267, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 2793, 307, 13543, 1315, 7849, 8249, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 5149, 7170, 281, 5842, 31883, 632, 2311, 659, 4821, 19164, 30609, 1431, 692, 7072, 912, 763, 5842, 31883, 632, 2311, 659, 4821, 9390, 538, 7187, 16266, 568, 513, 2189, 543, 9159, 10278, 602, 3091, 17631, 513, 4960, 547, 2263, 824, 16447, 569, 8916, 267, 23365, 2933, 538, 3638, 2686, 1686, 267, 543, 4497, 538, 27093, 2238, 269, 901, 1770, 12538, 883, 1585, 3344, 540, 4058, 543, 7680, 3811, 30295, 547, 713, 7415, 3148, 267, 8220, 621, 609, 4207, 3466, 267, 1483, 3734, 1806, 267, 543, 2487, 2090, 269, 1635, 8499, 6313, 3584, 971, 607, 4264, 9235, 2853, 267, 6805, 2950, 267, 17027, 21272, 267, 543, 2199, 18508, 543, 21426, 267, 1053, 786, 2744, 513, 2620, 7071, 585, 519, 2956, 540, 3743, 543, 6209, 2951, 2833, 780, 9556, 2544, 476, 272, 281, 17323, 543, 8693, 540, 5842, 31883, 632, 2311, 659, 4821, 19164, 454, 296, 269, 19715, 543, 6987, 550, 454, 288, 269, 645, 867, 1359, 2477, 281, 18335, 267, 30643, 267, 543, 18475, 454, 289, 269, 19024, 1369, 16266, 281, 16323, 540, 4165, 1993, 698, 770, 320, 454, 290, 269, 16816, 3363, 543, 4678, 3363, 7506, 692, 2862, 269, 29725, 1738, 17148, 454, 288, 269, 14175, 6420, 3270, 543, 20317, 454, 289, 269, 18323, 7648, 1063, 1554, 543, 3781, 454, 290, 269, 8177, 540, 15820, 593, 4365, 2175, 454, 291, 269, 6820, 2916, 1689, 2360, 593, 519, 3148, 454, 292, 269, 19369, 4388, 585, 8436, 1759, 593, 20296, 2188, 692, 7656, 269, 31838, 14924, 7870, 543, 4813, 725, 454, 288, 269, 634, 1656, 525, 15142, 454, 289, 269, 17865, 4469, 1846, 630, 21946, 541, 632, 2311, 659, 4821, 994, 290, 269, 26439, 3996, 543, 2983, 903, 619, 630, 14976, 570, 26559, 994, 291, 269, 966, 4150, 903, 543, 14480, 525, 454, 292, 269, 13562, 13929, 17325, 14898, 692, 9556, 2544, 476, 273, 281, 7087, 27639, 543, 3778, 454, 296, 269, 634, 2311, 659, 877, 25123, 4658, 454, 288, 269, 8466, 4282, 543, 22693, 454, 289, 269, 5678, 543, 5389, 454, 290, 269, 7351, 14227, 4567, 543, 2591, 454, 291, 269, 12875, 2065, 7341, 5885, 2146, 1646, 692, 2862, 269, 16329, 1670, 26317, 543, 631, 13952, 454, 288, 269, 623, 4157, 541, 5451, 632, 2372, 3218, 454, 289, 269, 570, 592, 528, 22810, 454, 290, 269, 631, 2224, 334, 1488, 4302, 565, 6759, 326, 4815, 681, 10422, 269, 29775, 822, 334, 2274, 14529, 15607, 454, 291, 269, 27264, 3646, 543, 5683, 9270, 692, 7656, 269, 20985, 22604, 547, 8836, 16510, 454, 288, 269, 7991, 2861, 9235, 3785, 454, 289, 269, 3718, 10914, 543, 3872, 3292, 454, 290, 269, 13786, 1043, 24749, 3255, 454, 291, 269, 21344, 11091, 543, 10333, 692, 9556, 2544, 476, 274, 281, 7579, 320, 543, 13056, 10044, 540, 519, 2311, 659, 4821, 19164, 454, 296, 269, 23433, 7233, 5020, 11154, 725, 454, 288, 269, 9315, 11252, 21728, 328, 454, 289, 269, 1325, 3258, 549, 2692, 4054, 454, 290, 269, 30647, 340, 29823, 543, 2871, 534, 23147, 5095, 454, 291, 269, 7736, 2438, 2249, 5726, 2994, 692, 2862, 269, 13812, 7348, 532, 19662, 454, 288, 269, 4469, 5446, 657, 538, 519, 932, 1314, 320, 20698, 3019, 454, 289, 269, 6250, 1746, 519, 11968, 4469, 29546, 6523, 2817, 15944, 454, 290, 269, 3143, 24856, 3662, 31986, 454, 291, 269, 11957, 540, 10357, 7888, 7320, 4205, 692, 7656, 269, 21784, 338, 547, 26085, 454, 288, 269, 14086, 4238, 543, 2825, 5222, 454, 289, 269, 12833, 5297, 2249, 4367, 454, 290, 269, 744, 3164, 343, 680, 334, 2787, 543, 7226, 2530, 454, 291, 269, 10020, 540, 2069, 543, 4656, 538, 9265, 4027, 692, 9556, 2544, 476, 275, 281, 12020, 543, 13079, 5024, 21988, 30609, 1431, 454, 296, 269, 19805, 19078, 13488, 3038, 11107, 454, 288, 269, 3194, 532, 6940, 24501, 454, 289, 269, 29922, 18019, 12427, 454, 290, 269, 7335, 6075, 8039, 543, 16499, 517, 10118, 692, 2862, 269, 12708, 717, 792, 543, 16811, 454, 288, 269, 6129, 4027, 30304, 454, 289, 269, 7720, 626, 675, 2914, 10107, 7802, 6106, 454, 290, 269, 853, 6324, 344, 31321, 543, 31939, 6362, 18635, 454, 291, 269, 31396, 3937, 543, 10822, 22811, 338, 692, 7656, 269, 19484, 8881, 31700, 454, 288, 269, 3600, 743, 574, 26494, 547, 1164, 31556, 454, 288, 1372, 12930, 20697, 543, 6484, 454, 290, 269, 17073, 23982, 543, 2792, 3457, 692, 6962, 912, 9199, 767, 532, 19100, 998, 4525, 971, 607, 519, 5842, 31883, 632, 2311, 659, 4821, 9390, 3340, 6297, 7041, 267, 2463, 585, 2199, 4529, 267, 543, 606, 4656, 540, 2825, 2152, 269, 3414, 2502, 609, 519, 1570, 4843, 538, 713, 1770, 267, 1053, 786, 1831, 5483, 543, 931, 2615, 1190, 17701, 945, 5660, 519, 1871, 540, 15138, 267, 23429, 267, 543, 1970, 27780, 716, 2951, 2833, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 32123, 31466, 16065, 774, 992, 3724, 13628, 281, 7316, 1284, 21518, 12866, 13012, 589, 2998, 454, 288, 2603, 666, 4755, 538, 513, 1906, 1296, 269, 3807, 2947, 1296, 3516, 267, 519, 2561, 15188, 1500, 922, 26813, 267, 15525, 729, 855, 513, 649, 324, 5518, 3887, 937, 267, 543, 631, 13704, 7261, 6350, 729, 1818, 24657, 585, 3023, 532, 909, 1200, 1434, 8004, 3239, 630, 296, 7058, 930, 1919, 2760, 1689, 1916, 27908, 3317, 10118, 2648, 19911, 28101, 267, 865, 538, 8956, 540, 1948, 1320, 992, 3724, 32637, 1934, 781, 513, 1413, 693, 1018, 930, 8889, 31466, 5234, 619, 941, 909, 547, 538, 519, 1296, 1354, 649, 2968, 8889, 31466, 5234, 619, 269, 1284, 3513, 4440, 18148, 29502, 713, 10126, 267, 865, 1832, 606, 3750, 856, 585, 26101, 1647, 1153, 7544, 533, 923, 543, 22525, 1350, 600, 712, 15833, 538, 519, 2104, 269, 1809, 585, 1631, 267, 1577, 781, 1491, 1919, 3500, 282, 1310, 782, 267, 2947, 1296, 568, 899, 476, 13923, 538, 4950, 942, 563, 26668, 1296, 3516, 649, 941, 2483, 272, 269, 1280, 1326, 1154, 547, 2322, 593, 27890, 563, 1607, 8666, 729, 3144, 538, 519, 5842, 31883, 632, 2311, 659, 4821, 9390, 538, 16266, 12544, 3819, 1747, 267, 543, 513, 1747, 594, 729, 865, 9599, 827, 7487, 267, 594, 29709, 547, 711, 5957, 533, 1690, 4821, 27890, 538, 1857, 269, 2311, 519, 942, 594, 5030, 538, 16114, 328, 6210, 267, 799, 729, 1250, 1753, 585, 476, 273, 269, 276, 1296, 543, 519, 2212, 5006, 267, 544, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26596, 31883, 632, 2311, 659, 4821, 19164, 30609, 1431, 257, 607, 851, 540, 834, 307, 30728, 1315, 3162, 3013, 1315, 16266, 1299, 14914, 6816, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 280, 543, 8118, 538, 476, 3192, 280, 269, 6168, 476, 279, 1015, 9031, 529, 543, 827, 476, 1220, 4457, 4600, 4503, 741, 2729, 1282, 519, 4070, 960, 269, 14924, 331, 1938, 267, 16767, 543, 17160, 616, 711, 16613, 538, 519, 3148, 267, 4749, 14124, 2694, 540, 519, 19814, 563, 1432, 568, 717, 307, 10003, 1572, 538, 9031, 888, 763, 9835, 2558, 6064, 10003, 19497, 1634, 607, 31579, 541, 777, 987, 267, 7203, 752, 3887, 5025, 345, 600, 267, 14068, 3333, 1695, 328, 7203, 752, 267, 7203, 752, 3887, 4149, 615, 20961, 568, 835, 540, 5607, 779, 9510, 543, 13074, 2101, 9897, 563, 1432, 568, 519, 4102, 5179, 3118, 540, 9031, 888, 13146, 6679, 540, 631, 276, 267, 9031, 779, 13074, 1569, 22306, 5179, 3118, 267, 568, 513, 5818, 585, 519, 4182, 779, 3728, 21212, 4155, 3560, 5823, 269, 634, 476, 277, 2000, 2033, 476, 4375, 273, 12919, 1279, 631, 276, 5179, 3118, 568, 3476, 982, 982, 519, 476, 23841, 12919, 1279, 476, 277, 2000, 2033, 631, 273, 5179, 3118, 563, 8489, 568, 631, 278, 9031, 888, 763, 631, 278, 568, 513, 9709, 5179, 3118, 1063, 667, 611, 340, 543, 16735, 269, 634, 19814, 568, 851, 540, 519, 5087, 1700, 338, 1926, 8905, 689, 5771, 21171, 547, 10127, 25764, 543, 3029, 519, 7013, 2865, 851, 540, 713, 8905, 689, 13158, 617, 3266, 547, 10127, 25764, 538, 827, 476, 25851, 12919, 563, 7617, 19814, 13462, 9031, 3345, 888, 763, 10127, 752, 528, 600, 23681, 630, 21589, 706, 281, 12168, 368, 8294, 407, 479, 14507, 8294, 407, 479, 476, 28405, 14507, 8294, 28405, 14507, 14534, 267, 19005, 1242, 281, 15662, 505, 5953, 327, 597, 5953, 327, 7117, 541, 5953, 638, 1090, 282, 1634, 676, 922, 3355, 338, 918, 298, 295, 267, 849, 1634, 607, 715, 268, 3374, 610, 2817, 23681, 476, 3374, 630, 21589, 706, 281, 476, 28405, 15906, 14534, 17262, 12168, 368, 8294, 407, 479, 14507, 8294, 407, 479, 476, 407, 367, 407, 369, 264, 610, 519, 3624, 6261, 8140, 14886, 1222, 23681, 264, 568, 513, 476, 272, 267, 4968, 5998, 630, 279, 1015, 11465, 264, 3084, 19814, 799, 11498, 689, 13201, 534, 19869, 531, 538, 519, 23570, 11662, 540, 9031, 547, 519, 6693, 7617, 568, 519, 1158, 13074, 19814, 888, 32292, 12677, 23681, 281, 634, 13074, 19814, 538, 519, 1158, 814, 513, 3259, 540, 476, 1789, 267, 1822, 5998, 269, 634, 2871, 514, 1145, 3883, 540, 19475, 814, 6444, 713, 19814, 607, 519, 13074, 4155, 538, 519, 1158, 269, 901, 19814, 814, 513, 22986, 2736, 540, 476, 11793, 5998, 693, 519, 667, 926, 523, 29361, 538, 6239, 3013, 269, 0, 291, 2426, 5295, 267, 4208, 1234, 12860, 29845, 4635, 6052, 267, 17904, 543, 10261, 267, 1548, 781, 1234, 7094, 539, 29845, 667, 836, 2730, 12275, 12237, 454, 26903, 568, 11112, 9657, 2067, 3653, 269, 1809, 649, 991, 547, 948, 856, 609, 519, 20203, 1004, 1711, 269, 3689, 267, 649, 991, 547, 4308, 609, 519, 1570, 602, 568, 16207, 2476, 607, 20203, 269, 5822, 267, 649, 991, 547, 2759, 1524, 593, 519, 2179, 540, 20203, 649, 1711, 269, 1677, 3247, 20203, 689, 32761, 532, 938, 4541, 267, 649, 1590, 2569, 267, 19074, 267, 543, 22120, 563, 20332, 3653, 666, 581, 32419, 269, 667, 2426, 267, 585, 1383, 267, 666, 581, 5828, 883, 513, 4492, 269, 1879, 2713, 1919, 4232, 267, 789, 3132, 9362, 269, 2290, 540, 891, 9362, 568, 15655, 269, 898, 568, 849, 1336, 538, 3662, 3653, 269, 634, 3653, 568, 2322, 538, 513, 2027, 7382, 602, 25173, 519, 3154, 269, 3973, 519, 3154, 568, 1031, 607, 513, 4492, 585, 5986, 543, 8022, 563, 5522, 2880, 267, 4837, 267, 543, 4496, 616, 1500, 689, 6151, 2326, 602, 2097, 689, 519, 2666, 269, 21311, 568, 1500, 689, 3282, 269, 19371, 568, 1500, 689, 5070, 269, 19045, 568, 3144, 689, 7725, 269, 2290, 1554, 891, 2326, 786, 2196, 856, 269, 1358, 3112, 581, 8719, 269, 1358, 616, 1572, 1875, 516, 2908, 762, 2326, 269, 589, 666, 1500, 540, 5374, 666, 581, 13381, 1896, 2053, 269, 898, 666, 1256, 581, 1500, 883, 1007, 3615, 971, 607, 513, 17919, 563, 10870, 531, 267, 2067, 3154, 267, 543, 3282, 616, 10173, 602, 2097, 689, 6151, 2326, 269, 1284, 6633, 891, 10173, 547, 1118, 5201, 269, 901, 2488, 519, 1379, 2877, 547, 1118, 3615, 971, 607, 17646, 23691, 563, 18404, 1023, 267, 971, 607, 19695, 267, 2049, 6923, 538, 519, 3047, 855, 789, 1491, 6634, 540, 1296, 547, 1106, 269, 1284, 616, 1210, 873, 909, 811, 3533, 982, 789, 786, 581, 8719, 269, 901, 568, 1946, 621, 568, 1271, 547, 19074, 543, 22120, 1765, 1278, 3772, 649, 786, 2196, 856, 540, 891, 10475, 2200, 563, 310, 4292, 543, 10261, 454, 10144, 4444, 267, 946, 267, 543, 26565, 540, 2472, 693, 513, 4028, 2557, 269, 15733, 1500, 540, 1480, 13402, 2326, 616, 513, 1966, 269, 6056, 827, 3688, 971, 607, 5985, 11436, 267, 5904, 267, 543, 14023, 2209, 269, 2353, 540, 891, 1919, 1118, 20203, 950, 789, 616, 1100, 3476, 540, 946, 269, 901, 568, 1946, 621, 568, 1271, 547, 22120, 607, 1082, 1919, 607, 2009, 563, 9213, 267, 811, 1004, 982, 2479, 616, 9657, 14475, 3615, 269, 1358, 1616, 547, 2149, 519, 2067, 3666, 540, 4541, 3047, 563, 1432, 666, 649, 798, 609, 20715, 610, 5906, 3653, 286, 645, 1722, 532, 621, 13071, 1093, 11143, 694, 788, 11895, 269, 8738, 940, 621, 13847, 1093, 11143, 883, 519, 2011, 269, 1703, 616, 1082, 13818, 22837, 602, 649, 798, 711, 917, 875, 547, 1205, 7759, 540, 563, 1103, 519, 2136, 2276, 267, 936, 476, 3607, 267, 1822, 13818, 3653, 4609, 2291, 269, 1452, 4558, 1031, 3282, 267, 6007, 3679, 267, 5230, 8407, 267, 7738, 12862, 267, 13851, 267, 2025, 5862, 267, 15229, 267, 543, 14599, 22837, 563, 5278, 5201, 568, 1500, 1210, 6046, 1379, 269, 17437, 1379, 2371, 3132, 5906, 3653, 269, 901, 3653, 3788, 1360, 5739, 547, 1004, 543, 519, 1604, 585, 7366, 540, 1296, 269, 2311, 519, 4090, 267, 6046, 3653, 568, 6740, 538, 11895, 6405, 13688, 563, 9213, 267, 2230, 10473, 543, 15408, 10581, 1164, 909, 1657, 3047, 269, 1452, 1919, 849, 1711, 3653, 269, 19382, 1478, 610, 3765, 331, 4660, 10808, 267, 31211, 267, 543, 17309, 616, 10760, 998, 2230, 693, 1472, 476, 1704, 267, 4335, 5195, 630, 2764, 267, 13932, 5998, 264, 829, 5662, 563, 263, 302, 653, 5242, 264, 1703, 568, 2370, 4055, 585, 22938, 593, 4580, 513, 2230, 6728, 971, 607, 519, 4139, 6611, 13749, 269, 2368, 540, 519, 13311, 22938, 568, 669, 26786, 883, 2230, 1141, 621, 2901, 17236, 909, 610, 10413, 956, 1472, 693, 1390, 3432, 563, 2467, 568, 1419, 811, 547, 20203, 982, 519, 1159, 11481, 8631, 538, 519, 17885, 666, 563, 26123, 21072, 3006, 1500, 968, 332, 27186, 892, 856, 540, 4666, 4703, 269, 1358, 20386, 519, 4703, 543, 5701, 873, 609, 2027, 7408, 269, 1358, 849, 6569, 519, 2295, 543, 824, 8219, 547, 1205, 7759, 540, 1022, 7509, 269, 1546, 1260, 1842, 619, 991, 7509, 543, 2011, 547, 2736, 1919, 1524, 269, 9453, 891, 267, 519, 4703, 1705, 711, 4232, 563, 1103, 5393, 4411, 2175, 267, 13271, 543, 4551, 798, 711, 7639, 269, 2368, 4666, 4703, 723, 1044, 1336, 14095, 538, 16171, 4672, 269, 634, 4703, 723, 711, 9178, 539, 563, 305, 582, 543, 9178, 666, 948, 4194, 10963, 269, 12207, 4983, 513, 1560, 547, 4137, 856, 875, 2484, 519, 9178, 814, 3262, 269, 3245, 713, 267, 789, 666, 1287, 3313, 950, 519, 1268, 5747, 563, 2005, 781, 2659, 2622, 454, 5475, 713, 1433, 267, 596, 949, 2760, 1413, 693, 4232, 543, 9178, 519, 1482, 1586, 269, 22500, 4232, 1154, 9944, 513, 3529, 267, 519, 18388, 540, 513, 8038, 267, 513, 9178, 539, 3787, 540, 3574, 1765, 22336, 2251, 786, 7618, 596, 540, 519, 1271, 1184, 540, 17883, 269, 8307, 1631, 596, 786, 917, 621, 781, 782, 851, 540, 513, 2067, 3666, 563, 16485, 707, 3237, 547, 1376, 513, 11003, 10822, 269, 1411, 1810, 1405, 991, 513, 4677, 547, 798, 713, 269, 1772, 972, 513, 1507, 4677, 693, 1153, 286, 5269, 2386, 621, 568, 6854, 2312, 540, 16445, 269, 28392, 5372, 1022, 20743, 610, 1000, 12127, 596, 11145, 269, 5457, 267, 972, 568, 6266, 540, 1272, 543, 2669, 2469, 593, 896, 20584, 269, 5940, 584, 6883, 4376, 666, 6861, 519, 1184, 540, 4232, 543, 9178, 585, 1082, 7068, 563, 268, 29332, 7495, 11123, 667, 4488, 302, 6573, 5308, 8991, 910, 8381, 344, 5851, 267, 667, 2426, 29755, 2494, 675, 2037, 878, 1127, 519, 14606, 267, 27718, 267, 18227, 13245, 267, 769, 513, 3281, 739, 23642, 267, 5600, 15585, 454, 268, 4033, 5131, 2037, 9871, 2664, 553, 0, 9596, 827, 519, 4436, 543, 6014, 5072, 540, 4583, 10196, 543, 23266, 15751, 18160, 267, 1519, 1896, 5481, 540, 22594, 269, 15751, 18160, 729, 4535, 538, 519, 2749, 540, 21853, 332, 538, 654, 584, 1777, 1897, 326, 267, 5125, 267, 593, 4728, 476, 1691, 267, 476, 6942, 280, 883, 513, 1875, 268, 10849, 518, 454, 2704, 6975, 18160, 543, 519, 11660, 19577, 540, 1412, 18661, 262, 476, 4905, 270, 4905, 270, 1001, 272, 476, 5400, 281, 5655, 10681, 21180, 21213, 2904, 476, 1839, 267, 476, 1001, 272, 1306, 649, 4734, 519, 4005, 950, 1082, 723, 9976, 519, 4332, 540, 834, 763, 5067, 540, 717, 5091, 2580, 5310, 649, 1522, 4090, 3320, 3247, 938, 10918, 32041, 10847, 18428, 543, 2307, 952, 834, 294, 5091, 257, 6818, 543, 267, 952, 865, 267, 945, 610, 1018, 646, 24172, 270, 527, 568, 269, 18160, 1705, 711, 3494, 538, 513, 2123, 2696, 267, 543, 972, 568, 1100, 2963, 646, 5156, 538, 606, 1651, 7568, 1049, 2696, 269, 5221, 540, 713, 267, 19473, 1235, 723, 1419, 6836, 547, 3409, 602, 18160, 607, 835, 540, 741, 1378, 269, 1809, 18160, 1654, 515, 618, 569, 17792, 602, 646, 729, 606, 19473, 626, 269, 3571, 3668, 540, 3661, 538, 513, 2123, 2696, 729, 711, 513, 24677, 540, 1022, 2696, 269, 15751, 18160, 729, 4535, 538, 5125, 538, 476, 6942, 280, 543, 5747, 538, 1715, 14948, 538, 476, 4198, 276, 693, 519, 2085, 540, 476, 10602, 269, 1261, 729, 4547, 909, 676, 16712, 6014, 3237, 267, 855, 10645, 547, 723, 4503, 1010, 5132, 693, 519, 2085, 540, 476, 1321, 269, 4438, 1010, 10715, 607, 513, 12504, 540, 3670, 1114, 2477, 630, 256, 1070, 15751, 18160, 1500, 513, 1297, 540, 9583, 30137, 10530, 827, 2696, 269, 15751, 18160, 779, 2582, 1034, 4583, 4484, 593, 2696, 267, 1010, 6014, 3961, 267, 543, 812, 779, 18163, 3406, 585, 2495, 729, 2854, 593, 476, 274, 5130, 476, 4198, 275, 20136, 4357, 267, 26526, 6596, 4484, 729, 9619, 547, 18238, 28066, 11779, 267, 4171, 1433, 267, 7994, 5020, 281, 634, 19978, 11910, 547, 4860, 27117, 267, 1185, 1044, 3370, 519, 1032, 1354, 269, 15751, 18160, 12799, 3838, 519, 20562, 515, 1143, 540, 1975, 3626, 5633, 267, 540, 4171, 5784, 634, 670, 8553, 8657, 9941, 3724, 15610, 267, 476, 1960, 277, 267, 11339, 281, 2048, 21790, 543, 2339, 616, 1079, 12331, 540, 606, 12808, 6219, 602, 1496, 8967, 3626, 5633, 316, 1572, 2696, 610, 7186, 267, 1434, 543, 9409, 1373, 3448, 10200, 6145, 1715, 6520, 543, 8109, 2219, 267, 713, 568, 513, 2048, 3000, 2065, 685, 3661, 267, 799, 12799, 3954, 625, 18160, 9324, 1221, 9608, 29331, 543, 27302, 563, 268, 631, 6064, 339, 749, 1965, 330, 12241, 10044, 454, 268, 7831, 321, 559, 1166, 752, 31461, 454, 268, 918, 2174, 26915, 1236, 18033, 928, 3068, 1504, 454, 268, 3331, 500, 642, 573, 23047, 1408, 548, 454, 268, 1548, 568, 1543, 6725, 454, 268, 590, 9857, 802, 10455, 571, 561, 7238, 333, 454, 268, 674, 807, 476, 2735, 277, 3044, 454, 268, 24430, 340, 2246, 25959, 11489, 591, 330, 732, 454, 268, 6555, 320, 26357, 3726, 454, 9824, 580, 542, 5463, 476, 276, 267, 476, 1001, 279, 968, 763, 2262, 2696, 568, 585, 803, 4986, 811, 982, 519, 4082, 543, 1587, 540, 1480, 8467, 267, 519, 6426, 513, 4015, 540, 8956, 762, 267, 855, 1869, 17033, 538, 810, 30138, 607, 789, 616, 4143, 547, 18160, 781, 3909, 19773, 269, 24722, 5638, 543, 6014, 16627, 540, 634, 11814, 539, 14430, 540, 15751, 18160, 267, 2019, 269, 476, 272, 630, 32459, 17662, 1547, 2201, 713, 4266, 538, 476, 6942, 280, 267, 15751, 18160, 729, 4535, 538, 21853, 332, 267, 5125, 267, 547, 1875, 10849, 969, 656, 6014, 3237, 269, 1261, 13984, 513, 7826, 1153, 689, 2085, 476, 276, 547, 476, 279, 269, 1261, 6192, 4119, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5970, 596, 2479, 9289, 1946, 519, 6426, 2760, 8942, 547, 6961, 2696, 6818, 286, 2991, 782, 267, 2696, 568, 519, 1292, 1915, 538, 519, 1433, 269, 5015, 267, 519, 6426, 1625, 7964, 547, 2995, 721, 945, 2696, 568, 267, 1018, 1261, 6499, 543, 875, 649, 1058, 2661, 269, 634, 6426, 814, 1044, 1031, 676, 811, 982, 835, 4984, 547, 1683, 6169, 585, 782, 5686, 540, 3652, 827, 1272, 269, 898, 814, 5129, 513, 3844, 1909, 538, 519, 5250, 540, 6082, 267, 519, 3262, 540, 12977, 267, 519, 1646, 540, 1876, 543, 519, 4493, 540, 16450, 585, 5215, 540, 1296, 269, 1411, 1223, 8044, 602, 1100, 1433, 814, 1044, 811, 9565, 538, 519, 1686, 540, 2494, 982, 519, 6426, 269, 1809, 519, 7440, 827, 519, 3844, 4137, 540, 519, 6426, 723, 1044, 2451, 547, 31188, 2103, 543, 15806, 267, 711, 547, 519, 4589, 540, 519, 1650, 3294, 563, 2005, 779, 3020, 602, 6754, 3091, 513, 25229, 21747, 4661, 585, 2696, 779, 6228, 538, 519, 6679, 540, 1010, 5022, 547, 519, 14564, 269, 1809, 1010, 9837, 568, 711, 547, 1683, 513, 10952, 17431, 269, 1261, 568, 5461, 538, 519, 5837, 6286, 540, 2696, 779, 6228, 269, 3571, 6249, 568, 16203, 543, 19807, 267, 711, 1373, 543, 6228, 563, 15919, 594, 1589, 602, 519, 4267, 547, 938, 2055, 616, 865, 2241, 602, 649, 1175, 1810, 1406, 1294, 873, 269, 1284, 2503, 1945, 2620, 543, 5863, 267, 865, 649, 26777, 519, 6654, 269, 901, 949, 581, 519, 2013, 950, 621, 2501, 547, 2055, 827, 2696, 779, 6228, 269, 594, 993, 20916, 547, 1589, 602, 950, 2576, 12651, 513, 2243, 827, 2696, 779, 6228, 267, 789, 616, 2356, 711, 2731, 6998, 2436, 610, 711, 972, 568, 513, 2696, 269, 1358, 616, 2356, 6998, 1945, 1454, 811, 2123, 269, 769, 1249, 267, 594, 723, 10355, 1558, 4896, 945, 22992, 11394, 519, 2626, 827, 2696, 779, 6228, 609, 606, 1930, 2247, 269, 594, 993, 711, 11021, 602, 606, 1930, 2247, 1058, 581, 899, 513, 10145, 1793, 622, 269, 2037, 965, 7811, 960, 814, 1044, 2944, 538, 1312, 2257, 543, 6138, 547, 1397, 602, 782, 540, 721, 2097, 547, 1022, 1995, 610, 1305, 540, 1239, 609, 606, 4612, 633, 5943, 269, 1703, 568, 1175, 1100, 1259, 540, 9319, 621, 269, 634, 1480, 2247, 568, 2760, 513, 10145, 1793, 622, 267, 543, 1100, 2179, 540, 1629, 2814, 860, 1944, 786, 1118, 621, 865, 269, 1548, 649, 1589, 540, 607, 5013, 616, 2141, 5462, 676, 1018, 649, 786, 1450, 607, 10257, 2963, 269, 1280, 1383, 267, 952, 594, 3494, 602, 782, 4576, 568, 513, 1267, 540, 791, 675, 4555, 267, 1287, 896, 1100, 6381, 786, 594, 3343, 2564, 3007, 585, 513, 2068, 269, 634, 1249, 602, 594, 993, 2192, 568, 14648, 547, 1611, 602, 594, 723, 513, 2790, 10638, 267, 711, 513, 6211, 835, 269, 3733, 4612, 633, 10325, 26779, 519, 1239, 883, 621, 269, 6271, 5310, 1447, 5212, 1190, 1383, 568, 519, 1699, 3510, 538, 2413, 6530, 269, 634, 2497, 540, 519, 1480, 20369, 3832, 568, 5462, 676, 799, 17695, 626, 594, 4755, 547, 1246, 269, 634, 1482, 968, 11907, 892, 666, 2408, 547, 1683, 3833, 1114, 8753, 4470, 593, 799, 4612, 633, 10325, 594, 3494, 563, 763, 6426, 814, 606, 4612, 633, 10325, 1932, 269, 898, 568, 711, 513, 9243, 1433, 269, 898, 814, 513, 21169, 602, 1102, 4926, 922, 3003, 5048, 269, 1879, 649, 2015, 519, 2854, 2594, 540, 519, 6426, 267, 649, 3142, 938, 4612, 633, 10325, 547, 519, 4540, 1257, 269, 901, 1797, 602, 952, 649, 616, 2469, 547, 1174, 1018, 519, 6426, 814, 547, 2161, 593, 922, 1378, 267, 649, 1590, 960, 2182, 693, 711, 3850, 938, 4540, 4612, 633, 10325, 547, 936, 20183, 519, 1239, 602, 519, 6426, 6799, 269, 2986, 1576, 267, 649, 1810, 1406, 723, 547, 798, 713, 269, 1284, 666, 2097, 693, 519, 6426, 609, 782, 519, 19027, 626, 3069, 540, 2413, 2257, 610, 782, 519, 22506, 1014, 2035, 540, 2413, 6530, 610, 782, 519, 12170, 1505, 540, 513, 2413, 14787, 269, 1284, 666, 936, 20183, 519, 1239, 607, 621, 568, 4843, 538, 922, 1378, 4612, 633, 10325, 543, 2119, 547, 1118, 621, 13352, 938, 6688, 269, 1809, 649, 786, 4166, 581, 3833, 21616, 543, 5555, 723, 547, 10205, 519, 1788, 1107, 8259, 938, 8404, 729, 547, 1397, 602, 519, 6426, 568, 711, 513, 2413, 3621, 6323, 1257, 267, 610, 513, 29194, 593, 2413, 6530, 610, 513, 5384, 21509, 1686, 540, 519, 1158, 269, 1403, 602, 568, 1018, 649, 4941, 547, 6961, 547, 1373, 609, 267, 649, 786, 723, 1100, 1966, 3257, 865, 269, 634, 2601, 568, 1776, 835, 540, 1346, 865, 268, 984, 2365, 1919, 281, 649, 666, 1397, 602, 519, 6426, 568, 711, 1022, 540, 891, 1919, 1317, 621, 729, 2760, 5497, 547, 581, 1022, 835, 540, 891, 538, 519, 1101, 1747, 563, 2467, 568, 606, 4244, 547, 713, 1582, 5498, 22701, 15393, 6193, 269, 634, 4244, 568, 547, 2119, 547, 1174, 519, 4612, 633, 10325, 540, 519, 6426, 1101, 267, 543, 1287, 1413, 547, 1294, 1018, 2055, 621, 8942, 547, 2626, 269, 1809, 713, 1935, 1139, 4680, 602, 519, 8404, 540, 519, 22679, 790, 337, 568, 1620, 267, 711, 24134, 269, 1703, 568, 513, 2462, 3017, 1063, 891, 1079, 11444, 269, 769, 1250, 1995, 267, 713, 3017, 2306, 782, 519, 3017, 563, 5353, 22701, 24134, 1095, 6269, 4680, 602, 649, 2097, 547, 713, 1239, 630, 1492, 19978, 2594, 264, 609, 519, 8404, 540, 12805, 621, 909, 609, 1945, 602, 649, 2907, 3494, 269, 1280, 1383, 267, 952, 594, 3494, 602, 28986, 616, 23963, 7543, 630, 296, 3494, 602, 519, 1876, 540, 2014, 543, 1198, 568, 1045, 2723, 762, 1070, 1287, 519, 1806, 540, 28986, 602, 594, 1265, 16559, 2429, 519, 1257, 540, 519, 6426, 786, 723, 547, 581, 556, 17942, 2181, 1540, 883, 519, 6688, 540, 1250, 1062, 540, 4978, 269, 1924, 267, 28986, 786, 1831, 968, 650, 16272, 5608, 968, 332, 529, 16187, 902, 5608, 968, 516, 31437, 535, 1066, 5414, 5608, 968, 1042, 13905, 892, 610, 930, 824, 7778, 269, 4595, 28986, 3112, 2291, 267, 1100, 2272, 540, 519, 14393, 31397, 666, 581, 3020, 563, 4131, 779, 2015, 1776, 1383, 267, 5310, 513, 2370, 1447, 1543, 1190, 269, 634, 6426, 6811, 602, 3025, 568, 1609, 337, 6548, 689, 2696, 1317, 540, 5609, 269, 1306, 513, 12343, 540, 713, 1609, 9792, 618, 267, 1169, 1480, 1373, 945, 814, 2479, 5609, 2740, 568, 1641, 547, 2696, 779, 3803, 10385, 543, 10751, 269, 1403, 594, 993, 3168, 585, 24134, 540, 1250, 3661, 602, 972, 568, 811, 982, 835, 13374, 547, 2696, 267, 602, 2696, 1131, 2760, 6494, 6634, 540, 1480, 7919, 547, 18774, 267, 610, 602, 18774, 3294, 568, 606, 856, 7116, 539, 1523, 267, 1287, 594, 786, 723, 547, 556, 17942, 13133, 519, 1257, 540, 519, 6426, 865, 602, 891, 6898, 616, 2938, 607, 519, 3765, 7666, 3660, 6898, 540, 796, 523, 2775, 2989, 2250, 6502, 610, 519, 9073, 540, 1991, 5939, 970, 1905, 565, 725, 610, 519, 7301, 4978, 540, 606, 3504, 9930, 19631, 1004, 269, 594, 786, 711, 2119, 547, 1174, 519, 6811, 827, 5609, 689, 519, 5133, 540, 519, 4612, 633, 10325, 540, 519, 6426, 3294, 1317, 519, 1360, 2856, 540, 5609, 267, 16203, 543, 10751, 568, 711, 538, 1250, 3661, 1062, 563, 3080, 811, 1383, 786, 3142, 519, 14374, 547, 513, 2123, 1377, 630, 3602, 621, 2356, 5956, 19037, 1040, 14597, 602, 594, 899, 519, 1259, 602, 594, 2661, 1631, 269, 594, 2972, 519, 5191, 540, 3257, 1018, 594, 1616, 267, 950, 594, 1616, 269, 594, 24049, 547, 519, 5837, 3009, 267, 968, 2252, 621, 3085, 1406, 10413, 4896, 267, 621, 779, 15528, 6100, 3973, 594, 1224, 538, 519, 6426, 602, 1799, 528, 1275, 267, 2283, 7081, 267, 1193, 1057, 267, 30983, 267, 856, 10767, 7370, 540, 10845, 267, 679, 11803, 902, 267, 1743, 684, 5287, 1145, 543, 1286, 748, 902, 616, 3527, 602, 616, 30849, 547, 2696, 269, 2696, 779, 5048, 547, 803, 998, 519, 6426, 568, 602, 1250, 1880, 5837, 3009, 568, 28119, 267, 543, 6038, 19439, 762, 269, 594, 993, 21947, 693, 519, 2123, 1377, 269, 1403, 594, 3343, 547, 17854, 1250, 1272, 2511, 267, 594, 786, 723, 547, 1413, 585, 2081, 547, 1397, 602, 891, 1913, 941, 2854, 547, 4505, 13039, 538, 3871, 1141, 3540, 19727, 267, 2686, 4655, 543, 3909, 12959, 1500, 1004, 1589, 8335, 982, 649, 798, 2221, 269, 8409, 1004, 5030, 476, 1220, 271, 1296, 3516, 269, 12085, 723, 4957, 269, 1284, 616, 1454, 811, 12683, 2065, 2221, 269, 1284, 2661, 538, 513, 2518, 8498, 269, 634, 6551, 7190, 540, 1346, 2025, 4978, 1590, 581, 8719, 609, 811, 14421, 641, 13457, 5784, 269, 634, 2696, 602, 594, 1616, 547, 3494, 538, 568, 1454, 811, 27031, 982, 602, 14220, 2696, 540, 519, 6196, 11620, 269, 3733, 2413, 2696, 568, 513, 2696, 540, 2648, 543, 1620, 865, 1346, 2025, 2093, 1100, 3476, 4019, 563, 9617, 2305, 14543, 547, 1265, 1022, 4267, 547, 3978, 2055, 1317, 24134, 568, 711, 5461, 538, 1022, 4267, 4849, 1346, 602, 1489, 4540, 4612, 633, 14565, 269, 1403, 649, 616, 547, 1174, 2864, 982, 17854, 267, 649, 786, 723, 547, 1491, 513, 1114, 1935, 269, 1284, 786, 723, 547, 2253, 676, 3843, 547, 2322, 6000, 607, 1454, 607, 2009, 883, 519, 5943, 540, 519, 4589, 540, 519, 2835, 540, 519, 6426, 269, 1284, 786, 723, 547, 960, 2182, 693, 6679, 938, 8186, 547, 1450, 741, 2070, 540, 519, 7122, 547, 6963, 938, 26608, 18727, 6688, 269, 3143, 824, 14374, 786, 3411, 823, 585, 1022, 824, 1505, 786, 6038, 581, 1582, 1606, 6326, 269, 9453, 513, 3978, 3801, 547, 1747, 6000, 538, 519, 4612, 633, 10325, 540, 519, 1257, 267, 649, 786, 1265, 1152, 1346, 4267, 602, 649, 1616, 547, 1265, 563, 11997, 267, 519, 1101, 4305, 538, 1620, 568, 547, 2992, 593, 8404, 269, 3776, 8404, 1590, 581, 547, 3343, 519, 6986, 5168, 267, 607, 1655, 607, 649, 616, 2111, 547, 267, 1100, 2339, 1141, 621, 5012, 610, 1018, 1699, 4978, 649, 949, 723, 547, 795, 9116, 2581, 2059, 519, 1259, 269, 19227, 519, 3003, 4674, 568, 798, 15701, 269, 19227, 649, 786, 1439, 909, 693, 519, 4098, 1107, 6616, 4986, 811, 982, 649, 2907, 3494, 547, 581, 519, 2013, 269, 1677, 8399, 267, 649, 1590, 6451, 513, 2241, 646, 22618, 3926, 630, 320, 3926, 602, 649, 9444, 3180, 547, 581, 3020, 610, 7301, 855, 3274, 31544, 1107, 621, 4991, 519, 2816, 2944, 1040, 2334, 3926, 568, 281, 8164, 649, 7237, 513, 3948, 602, 4667, 4831, 547, 835, 540, 938, 1699, 4978, 267, 649, 1590, 2307, 827, 938, 8404, 1354, 649, 1780, 10385, 593, 519, 3661, 269, 1403, 649, 1810, 1406, 899, 519, 3280, 540, 621, 267, 952, 649, 19292, 827, 519, 6286, 267, 952, 649, 616, 13934, 610, 21947, 267, 649, 786, 711, 14962, 519, 3409, 2394, 649, 723, 1101, 8947, 1946, 649, 616, 32232, 269, 3776, 6547, 616, 23053, 540, 4612, 633, 10325, 4655, 269, 2991, 782, 267, 2367, 543, 2021, 945, 616, 5716, 1369, 519, 4612, 633, 10325, 540, 519, 6426, 267, 4171, 2729, 616, 2854, 1369, 519, 3817, 540, 519, 1650, 267, 798, 711, 3100, 547, 723, 2101, 7214, 2042, 16561, 519, 6811, 540, 519, 1257, 269, 634, 1239, 789, 7237, 568, 7471, 883, 741, 4612, 633, 14565, 1510, 1454, 7411, 269, 1656, 789, 616, 1175, 607, 1480, 607, 649, 616, 269, 1924, 267, 950, 649, 7237, 1945, 538, 713, 1279, 1650, 602, 4667, 2352, 585, 721, 267, 649, 991, 547, 4983, 938, 3206, 547, 1118, 2386, 602, 649, 616, 711, 27195, 519, 2856, 3274, 1317, 621, 1281, 711, 3514, 938, 1699, 1305, 540, 1095, 6269, 657, 1431, 563, 2304, 3140, 1383, 1522, 948, 721, 1294, 875, 713, 1568, 269, 6168, 1079, 4627, 1296, 3516, 267, 513, 1804, 6712, 540, 519, 1977, 3043, 2551, 11130, 602, 8474, 729, 519, 1267, 540, 513, 31169, 602, 2696, 5116, 593, 8621, 267, 513, 5067, 540, 25424, 269, 901, 4661, 1031, 11353, 543, 4773, 540, 2245, 267, 10828, 543, 19978, 1257, 547, 1489, 513, 26608, 18727, 10206, 602, 729, 7357, 1582, 1606, 6326, 269, 4653, 267, 971, 606, 4661, 1131, 581, 796, 20459, 762, 269, 1809, 538, 3013, 540, 519, 2038, 476, 5197, 271, 779, 267, 519, 2797, 4612, 633, 10325, 1705, 711, 1450, 27740, 5095, 547, 581, 5701, 607, 4628, 1480, 269, 1924, 267, 519, 19978, 1257, 729, 17065, 7458, 883, 513, 5943, 547, 3514, 519, 24134, 540, 8474, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2393, 619, 16559, 1472, 4884, 267, 2139, 585, 10519, 3842, 16335, 8924, 269, 1452, 2370, 6191, 6035, 5191, 543, 8112, 693, 606, 10097, 3902, 1448, 267, 3501, 585, 1990, 6235, 1472, 9390, 539, 10754, 896, 3382, 540, 14334, 269, 1656, 3976, 3459, 1250, 12691, 2648, 26035, 609, 862, 5024, 3842, 552, 1606, 1723, 582, 518, 998, 9602, 4683, 8916, 267, 3280, 10177, 22486, 1152, 676, 524, 4459, 1115, 669, 597, 4771, 543, 11397, 5721, 627, 30178, 780, 8269, 22162, 593, 713, 1995, 4547, 8521, 513, 7096, 20185, 281, 3006, 1272, 25001, 721, 7455, 27750, 24320, 2213, 607, 2591, 267, 11319, 721, 2509, 5499, 3435, 3358, 547, 938, 2189, 6381, 269, 6787, 10188, 28031, 5652, 6009, 610, 3695, 4244, 12331, 540, 6283, 267, 8508, 1689, 10741, 9885, 547, 3078, 8906, 543, 3255, 780, 3383, 1985, 942, 596, 7237, 513, 9583, 8723, 9183, 267, 1491, 513, 4090, 547, 31739, 922, 1761, 6106, 543, 6286, 269, 5808, 6487, 286, 9320, 596, 3513, 588, 18443, 2390, 513, 6456, 17576, 610, 1256, 796, 24160, 513, 4062, 540, 3054, 2059, 519, 1259, 269, 3807, 899, 4466, 1455, 2666, 609, 21046, 936, 513, 2241, 2243, 827, 513, 18560, 3957, 8845, 6117, 630, 528, 5310, 14964, 264, 547, 960, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 8923, 2626, 519, 1739, 2243, 281, 9137, 281, 901, 568, 8845, 269, 1261, 814, 606, 4277, 2816, 269, 1261, 1568, 693, 513, 5925, 6728, 269, 3571, 5925, 1397, 568, 689, 12964, 522, 262, 22018, 693, 3781, 547, 3670, 522, 262, 22018, 538, 519, 6640, 269, 1261, 521, 902, 1134, 269, 1261, 2356, 4991, 909, 693, 5722, 13977, 693, 3781, 269, 1261, 26814, 1010, 4522, 543, 3217, 513, 17643, 693, 4557, 2250, 5216, 269, 3973, 646, 22655, 14254, 693, 8370, 269, 2334, 781, 513, 16168, 942, 585, 14254, 256, 2991, 602, 2073, 646, 2356, 3635, 693, 827, 4557, 8938, 269, 1261, 4422, 547, 960, 676, 1286, 693, 22221, 522, 262, 22018, 269, 898, 3217, 4557, 3764, 547, 1205, 519, 5925, 6728, 269, 1924, 646, 568, 2760, 3735, 585, 960, 269, 7726, 281, 8845, 1419, 567, 9041, 567, 547, 519, 5925, 6728, 269, 8786, 610, 1100, 267, 568, 519, 2626, 834, 339, 1389, 519, 1286, 257, 888, 288, 912, 8133, 267, 519, 2626, 568, 834, 339, 1389, 519, 1286, 1701, 634, 2376, 2829, 602, 8845, 4422, 547, 960, 676, 1286, 693, 22221, 522, 262, 22018, 267, 799, 1797, 646, 1419, 3217, 519, 1286, 547, 519, 5925, 6728, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 589, 7008, 3275, 3516, 267, 1250, 1655, 3659, 11540, 538, 938, 2199, 1016, 1042, 9016, 827, 1200, 2487, 3375, 547, 9772, 513, 9420, 2915, 3957, 700, 10044, 269, 2701, 1185, 2141, 1044, 13730, 827, 3662, 15063, 543, 729, 9599, 547, 1930, 1200, 1753, 547, 513, 7782, 538, 991, 269, 1306, 606, 28048, 27460, 543, 7814, 626, 267, 1352, 729, 7620, 7255, 827, 875, 1352, 1131, 4383, 547, 3635, 1312, 9887, 543, 700, 10044, 1247, 5329, 873, 1312, 2922, 269, 1809, 1310, 3257, 930, 1382, 543, 8757, 856, 547, 824, 5411, 540, 9420, 5243, 267, 1352, 4362, 513, 2898, 1158, 540, 13395, 2238, 543, 3937, 2966, 4481, 585, 11617, 15176, 4996, 1186, 269, 5808, 6785, 972, 941, 2027, 682, 10449, 543, 10244, 525, 1500, 1175, 585, 9420, 5243, 286, 2107, 602, 789, 1223, 1869, 979, 4881, 609, 741, 1480, 15274, 1210, 513, 16887, 2966, 512, 5930, 1062, 286, 3502, 803, 2439, 2026, 4166, 607, 594, 1224, 1200, 2022, 267, 594, 7948, 1405, 948, 855, 1745, 16397, 609, 8788, 543, 11348, 269, 3733, 3659, 1185, 2141, 1044, 606, 3662, 24158, 267, 855, 12561, 513, 9420, 2915, 729, 5963, 1985, 1377, 8296, 269, 594, 5612, 5206, 1200, 513, 2295, 325, 3881, 5048, 11589, 1250, 25621, 543, 1489, 585, 1200, 1007, 7045, 269, 594, 5143, 1200, 602, 594, 6785, 1510, 513, 14692, 540, 513, 8969, 602, 1352, 1131, 2285, 700, 10044, 519, 1655, 1272, 2009, 543, 1711, 9118, 8823, 2407, 540, 2648, 267, 17409, 267, 543, 20605, 2833, 2059, 519, 1259, 780, 3719, 1287, 1945, 6397, 5949, 910, 700, 10044, 8694, 909, 1373, 811, 982, 1175, 513, 13959, 585, 1250, 3659, 269, 3414, 2866, 543, 16345, 609, 700, 10044, 267, 1250, 3659, 7691, 602, 1352, 4941, 547, 798, 1256, 811, 547, 948, 2831, 538, 991, 269, 2701, 3323, 24749, 693, 513, 2199, 3662, 12062, 267, 4543, 547, 5721, 543, 1514, 1125, 5243, 945, 2877, 3063, 3007, 1354, 4466, 741, 11014, 5321, 269, 1656, 5555, 267, 1352, 16718, 1200, 9746, 2816, 547, 11654, 513, 4876, 538, 2915, 2866, 543, 2623, 14842, 267, 2519, 593, 2324, 609, 2027, 2115, 10130, 899, 700, 10044, 780, 2005, 781, 5863, 875, 835, 2241, 957, 540, 11587, 666, 1291, 547, 971, 6909, 2208, 543, 1689, 269, 22628, 1250, 3659, 9784, 1200, 6612, 585, 2831, 543, 1118, 621, 1200, 1272, 781, 960, 814, 1044, 4986, 2110, 540, 31369, 269, 1656, 998, 782, 540, 713, 267, 700, 10044, 814, 7283, 513, 3586, 2707, 540, 7772, 543, 4313, 267, 18445, 602, 3006, 519, 6574, 13344, 2097, 689, 519, 4025, 649, 2547, 2503, 873, 269, 1924, 1934, 781, 547, 1250, 15210, 3659, 543, 1200, 4190, 9420, 2915, 267, 949, 789, 3136, 547, 3262, 2648, 267, 1769, 267, 543, 6667, 16382, 789, 979, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 2237, 513, 2295, 342, 9879, 4484, 547, 707, 1655, 3659, 945, 814, 1175, 7550, 513, 9420, 2915, 267, 11589, 707, 25621, 585, 741, 8296, 543, 530, 5109, 873, 11995, 2648, 267, 17409, 267, 543, 12300, 8090, 609, 741, 24566, 13959, 563, 7069, 632, 11732, 3659, 10484, 296, 1223, 711, 2769, 519, 11566, 7772, 602, 594, 5433, 950, 594, 4862, 602, 596, 4956, 547, 9772, 513, 9420, 2915, 269, 898, 1175, 4422, 547, 1397, 875, 2186, 543, 17519, 596, 616, 269, 2659, 2648, 585, 2831, 814, 2141, 1044, 835, 540, 707, 1034, 8098, 10928, 7907, 267, 543, 713, 1007, 1840, 547, 707, 1920, 1152, 25495, 602, 780, 296, 993, 865, 18507, 602, 713, 24566, 13959, 814, 1336, 741, 11014, 1753, 609, 596, 269, 1411, 723, 519, 7887, 2295, 267, 543, 594, 723, 1100, 8969, 602, 596, 786, 1683, 1864, 609, 519, 2648, 267, 1416, 267, 543, 3007, 646, 2115, 269, 901, 1007, 3460, 786, 581, 4904, 609, 22705, 543, 17498, 267, 855, 594, 917, 602, 707, 9639, 267, 11587, 267, 543, 20174, 786, 2760, 23881, 614, 269, 654, 10248, 596, 1491, 593, 713, 1007, 4161, 609, 971, 11419, 543, 8990, 568, 865, 11121, 780, 296, 4126, 602, 596, 723, 606, 11995, 2179, 540, 561, 990, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 19737, 623, 3949, 16930, 547, 1715, 4789, 692, 8702, 547, 938, 12202, 7045, 256, 4653, 267, 649, 786, 1451, 827, 5883, 10860, 1808, 547, 938, 4190, 3148, 540, 1715, 4789, 269, 3143, 2339, 875, 1454, 1416, 649, 2322, 883, 938, 10651, 267, 26240, 5652, 7786, 543, 1814, 1562, 666, 3006, 2014, 2042, 269, 1809, 1810, 1405, 5855, 1107, 972, 616, 1082, 2081, 547, 2149, 707, 2371, 1247, 1373, 2186, 547, 2470, 256, 2913, 781, 4685, 538, 543, 2263, 780, 4089, 476, 272, 281, 1548, 616, 12567, 623, 3949, 2496, 5331, 2324, 2182, 593, 707, 4677, 267, 1152, 547, 1265, 9475, 538, 3762, 610, 11116, 7436, 593, 707, 19787, 256, 2334, 779, 1141, 4677, 10860, 2097, 538, 269, 1452, 7068, 267, 971, 607, 12961, 267, 22376, 7714, 267, 543, 17544, 267, 2648, 4189, 543, 14124, 2371, 269, 2368, 1455, 3283, 1336, 538, 1715, 4789, 616, 30293, 267, 5545, 22404, 267, 3043, 13219, 267, 25277, 267, 543, 13650, 780, 12244, 281, 5620, 596, 2479, 11402, 1022, 13311, 8436, 538, 707, 1378, 4677, 286, 9523, 707, 2833, 609, 513, 7649, 543, 1865, 1018, 1522, 723, 1044, 2944, 8335, 547, 2061, 3441, 780, 4089, 476, 273, 281, 674, 7037, 20530, 2209, 1299, 5484, 1030, 2772, 645, 13903, 692, 6524, 8757, 585, 3114, 838, 7590, 267, 3314, 602, 930, 5363, 2831, 543, 7786, 849, 2661, 538, 1715, 4789, 269, 1280, 3236, 267, 14799, 30471, 267, 20151, 267, 543, 32467, 16051, 2478, 3548, 11641, 344, 30293, 543, 824, 1507, 12961, 269, 1635, 8716, 891, 1434, 16921, 267, 649, 1711, 3666, 538, 938, 5117, 543, 2569, 5739, 6464, 538, 938, 1604, 780, 12244, 281, 8571, 543, 6003, 1614, 7874, 11975, 610, 6225, 12961, 602, 1223, 948, 4383, 10860, 538, 513, 4677, 269, 3503, 513, 2110, 5037, 10503, 741, 1909, 538, 4509, 8733, 10103, 780, 4089, 476, 274, 281, 7849, 28814, 6513, 10613, 692, 2467, 616, 7899, 540, 2067, 2081, 547, 1832, 10860, 693, 15922, 269, 2290, 2442, 1505, 568, 13959, 9544, 267, 799, 3322, 11093, 1978, 2371, 1927, 547, 15658, 10860, 269, 3057, 580, 9529, 267, 585, 1383, 267, 1065, 601, 29712, 3941, 543, 824, 3983, 12961, 269, 6271, 4480, 568, 1210, 5214, 2472, 1500, 689, 2371, 267, 4551, 267, 610, 6886, 547, 1852, 10860, 269, 3026, 655, 3282, 267, 13342, 10936, 267, 543, 1019, 520, 558, 17675, 3618, 616, 782, 2500, 3681, 780, 12244, 281, 8073, 513, 5750, 9236, 1079, 2067, 11641, 1852, 2409, 5018, 1934, 269, 11512, 875, 1142, 835, 1568, 267, 922, 2640, 267, 543, 2009, 19363, 780, 4089, 476, 275, 281, 10644, 9828, 692, 2304, 5140, 1259, 547, 7413, 11641, 2152, 568, 676, 8026, 6604, 2553, 269, 18227, 707, 4677, 2973, 267, 9427, 4666, 3762, 543, 11935, 267, 14450, 5265, 267, 543, 15914, 7031, 666, 979, 513, 1279, 1259, 538, 1167, 15758, 10860, 269, 3958, 267, 8939, 2068, 15033, 2030, 8677, 9862, 547, 1715, 4789, 2175, 2337, 2327, 2635, 2208, 780, 12244, 281, 5071, 513, 16968, 15386, 2947, 1898, 6604, 4388, 585, 513, 14762, 1715, 4789, 4677, 269, 2422, 2592, 543, 2241, 1893, 547, 6655, 519, 5048, 3927, 780, 6962, 281, 29972, 538, 1715, 4789, 2501, 609, 2189, 2591, 1813, 547, 6237, 10860, 269, 1717, 267, 11439, 609, 1702, 827, 7874, 11975, 267, 2067, 8060, 267, 543, 6604, 2994, 267, 596, 666, 11349, 513, 7524, 543, 14388, 4677, 269, 8414, 12202, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9915, 305, 5058, 4306, 292, 2894, 24202, 661, 4041, 309, 7728, 295, 6953, 21788, 966, 3041, 3951, 9215, 5990, 681, 8016, 298, 670, 17920, 18479, 22770, 5662, 286, 24511, 23745, 11354, 4614, 523, 267, 945, 1185, 2943, 547, 1294, 519, 9412, 543, 24305, 8065, 540, 674, 877, 8858, 834, 5804, 1306, 12064, 5244, 547, 519, 8871, 2213, 8092, 2437, 31372, 2394, 519, 28813, 5662, 19108, 267, 519, 8858, 781, 3803, 1554, 547, 2628, 513, 3643, 269, 19331, 731, 519, 1439, 540, 519, 1554, 593, 10732, 267, 5988, 476, 2767, 267, 23745, 8452, 547, 2070, 519, 3180, 902, 543, 1205, 513, 4663, 689, 1225, 1807, 13343, 7009, 651, 1175 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15521, 3040, 2924, 540, 519, 20237, 3040, 2924, 540, 519, 1367, 3040, 4567, 540, 519, 1268, 11221, 3040, 11182, 540, 519, 5449, 31735, 807, 3040, 519, 9167, 781, 3486, 1909, 3040, 3791, 2477, 538, 519, 11335, 3040, 15639, 689, 519, 2344, 454, 310, 7364, 910, 642, 7546, 513, 1380, 328, 454, 15578, 568, 513, 1614, 268, 12072, 27099, 602, 949, 3277, 547, 912, 347, 1607, 771, 3711, 580, 6672, 2985, 8638, 4930, 2404, 609, 519, 1482, 2140, 563, 2252, 606, 4835, 3095, 3366, 596, 1934, 267, 596, 949, 6999, 547, 1689, 519, 3095, 547, 1448, 2047, 547, 519, 5497, 2376, 563, 3519, 1084, 340, 632, 2283, 26047, 454, 323, 2109, 32666, 1696, 911, 2265, 16725, 13248, 4609, 1357, 454, 11405, 16450, 20527, 937, 1258, 1664, 454, 13971, 618, 518, 682, 733, 523, 340, 632, 12911, 516, 3135, 454, 288, 329, 537, 614, 632, 562, 537, 557, 14513, 733, 523, 639, 5410, 20221, 12911, 516, 3135, 1244, 7572, 11576, 26047, 1612, 24701, 563, 303, 2117, 712, 597, 8350, 1050, 1080, 1696, 8350, 3045, 517, 806, 454, 11917, 1084, 597, 964, 1217, 725, 679, 24701, 13248, 12974, 17243, 682, 803, 4068, 584, 733, 523, 340, 563, 19340, 518, 964, 2592, 1696, 26955, 21129, 597, 964, 544, 2946, 3279, 1673, 517, 333, 2946, 525, 454, 293, 1460, 518, 3288, 1542, 566, 632, 11024, 4302, 544, 2946, 3279, 1673, 517, 333, 19902, 630, 20123, 4979, 826, 1916, 305, 1619, 793, 324, 906, 24194, 20221, 796, 4757, 632, 6609, 632, 12911, 516, 605, 27826, 563, 297, 324, 5060, 632, 1577, 339, 637, 454, 291, 2109, 32666, 632, 3288, 31423, 826, 21473, 9809, 320, 1047, 454, 8867, 546, 2109, 32666, 964, 28395, 525, 1609, 1147, 339, 719, 26955, 337, 643, 2946, 5918, 546, 2109, 32666, 703, 2946, 326, 1537, 630, 2316, 291, 1916, 299, 262, 1890, 743, 641, 2946, 23135, 21473, 9809, 320, 1047, 536, 26408, 2946, 325, 545, 773, 632, 3288, 6132, 775, 9504, 630, 294, 26214, 1916, 22349, 340, 576, 281, 1612, 322, 712, 597, 8350, 9106, 1186, 521, 2946, 332, 656, 2294, 5918, 546, 2109, 32666, 12746, 1664, 679, 7132, 773, 2720, 31423, 1132, 13248, 544, 773, 5060, 813, 16781, 516, 513, 11355, 2283, 26047, 563, 20412, 2946, 679, 476, 271, 267, 271, 4281, 338, 0, 763, 8675, 6257, 606, 8798, 3274, 1317, 968, 320, 3926, 267, 733, 337, 643, 766, 610, 1184, 814, 2097, 689, 1310, 1353, 543, 4061, 4603, 1848, 1323, 2856, 568, 3989, 2139, 607, 968, 320, 19775, 16912, 539, 610, 6644, 1848, 1635, 2324, 609, 891, 8847, 267, 596, 543, 707, 1920, 1058, 2307, 3054, 875, 1454, 1413, 936, 543, 4603, 949, 723, 596, 2731, 13736, 593, 707, 3804, 269, 1772, 707, 3206, 513, 15889, 3070, 610, 1175, 1142, 540, 938, 6284, 540, 513, 1966, 602, 2115, 513, 3070, 888, 6011, 547, 1205, 513, 14664, 593, 606, 2856, 1082, 3255, 723, 596, 10924, 547, 3054, 968, 527, 1131, 581, 1390, 952, 972, 941, 513, 1587, 14664, 519, 1249, 602, 1223, 4194, 713, 1966, 9495, 594, 723, 1185, 602, 1482, 2219, 1082, 3871, 1354, 269, 10251, 267, 942, 543, 1586, 2053, 267, 5291, 2517, 4178, 269, 701, 541, 2741, 4181, 2593, 11486, 1197, 569, 331, 889, 1731, 30032, 1203, 15276, 14482, 9592, 270, 573, 20720, 6924, 280, 9032, 270, 14403, 26727, 24129, 277, 4649, 594, 729, 711, 7114, 513, 2582, 1483, 3070, 2705, 2073, 1175, 519, 723, 3893, 547, 723, 585, 513, 3797, 269, 3958, 267, 594, 3489, 2938, 1082, 12058, 1118, 519, 4890, 1482, 12161, 14845, 741, 2123, 968, 1211, 2305, 540, 513, 8799, 1966, 892, 585, 606, 4890, 3070, 267, 1373, 513, 1267, 7836, 11991, 4674, 2519, 593, 782, 1966, 543, 543, 711, 519, 3070, 563, 763, 1483, 4161, 609, 6427, 532, 568, 711, 1175, 8049, 827, 513, 991, 267, 855, 2943, 849, 23115, 856, 543, 827, 513, 3070, 269, 901, 1184, 949, 3100, 6093, 2631, 282, 2705, 267, 594, 5963, 666, 2995, 649, 602, 594, 2972, 14437, 609, 513, 19619, 31132, 945, 2219, 789, 1185, 9735, 8798, 267, 950, 1247, 538, 1249, 789, 19023, 606, 2856, 1510, 513, 1134, 20452, 2973, 563, 763, 14704, 666, 3561, 1010, 2029, 538, 1175, 835, 1880, 540, 2356, 519, 1739, 1079, 610, 1614, 2081, 912, 272, 16638, 1203, 528, 779, 5800, 762, 2780, 610, 11657, 454, 8196, 519, 1655, 3808, 26099, 610, 6117, 1686, 540, 5137, 1106, 540, 2594, 835, 779, 1378, 8798, 593, 5693, 8989, 519, 10206, 543, 6249, 543, 8380, 707, 15040, 543, 2469, 856, 538, 13504, 269, 4746, 267, 3489, 1079, 3773, 1004, 5469, 543, 6822, 340, 576, 519, 3892, 610, 1106, 607, 7747, 547, 8798, 563, 763, 3932, 1058, 1202, 675, 519, 1739, 281, 13394, 583, 1947, 616, 11280, 609, 2338, 3817, 267, 713, 3483, 1034, 3335, 2404, 609, 519, 8798, 267, 513, 1808, 7778, 1644, 547, 519, 8798, 267, 12400, 547, 25780, 2417, 3467, 513, 21318, 540, 3091, 543, 7132, 2798, 563, 763, 2278, 666, 6445, 856, 606, 3498, 519, 2475, 8976, 302, 968, 11514, 26918, 8298, 5358, 892, 543, 849, 3758, 23930, 6054, 282, 2705, 267, 519, 1259, 4330, 1657, 568, 4010, 607, 1434, 610, 1256, 1732, 950, 3379, 609, 1018, 25937, 23930, 6054, 269, 589, 2475, 8976, 302, 19374, 513, 8766, 13927, 593, 25937, 891, 5686, 540, 6054, 563, 9616, 476, 275, 1547, 25643, 938, 8798, 814, 2141, 1044, 711, 741, 12990, 538, 1931, 585, 513, 1008, 29850, 610, 1875, 4491, 29850, 14664, 269, 2334, 713, 3483, 814, 1044, 547, 1205, 3323, 609, 513, 1344, 540, 2594, 585, 707, 8798, 543, 547, 3947, 596, 693, 519, 1697, 12319, 1336, 538, 519, 2680, 540, 513, 2582, 15539, 269, 0, 763, 2165, 729, 1031, 547, 10646, 519, 3476, 4670, 689, 519, 2110, 8874, 5219, 547, 607, 2110, 338, 3335, 4843, 1354, 519, 1292, 4670, 267, 971, 607, 3377, 516, 1564, 2073, 1583, 10118, 2073, 19347, 27977, 2073, 2661, 268, 9146, 635, 12203, 267, 543, 32026, 269, 4634, 1354, 2681, 729, 513, 7872, 538, 9413, 267, 2038, 4670, 15670, 941, 5461, 538, 875, 2681, 1223, 3986, 741, 2984, 269, 4107, 4183, 8874, 616, 1063, 476, 4037, 543, 3764, 1279, 269, 634, 8545, 588, 18732, 17076, 19291, 24156, 324, 5182, 1042, 538, 930, 540, 891, 7260, 14624, 269, 901, 2376, 568, 827, 519, 1826, 540, 4670, 269, 7913, 11473, 610, 667, 309, 814, 3533, 4957, 875, 1034, 8874, 616, 1500, 269, 2368, 2015, 519, 8792, 634, 4856, 321, 9116, 6363, 6308, 338, 9404, 976, 674, 697, 547, 581, 519, 1101, 17245, 4183, 4670, 267, 855, 621, 568, 811, 8308, 6353, 607, 513, 5026, 1982, 607, 621, 3769, 519, 2407, 796, 539, 1243, 4216, 532, 6474, 269, 4347, 1441, 676, 3259, 267, 519, 1101, 10565, 4183, 4670, 729, 519, 8241, 8792, 4670, 634, 9452, 540, 519, 23765, 717, 836, 898, 729, 936, 835, 5662, 538, 3259, 543, 729, 827, 519, 2866, 2553, 540, 519, 3703, 17199, 563, 15100, 476, 1708, 271, 11002, 617, 326, 5459, 2593, 910, 2353, 2924, 11603, 269, 2353, 17738, 616, 936, 476, 2641, 586, 269, 334, 269, 0, 3528, 2494, 22781, 4223, 1492, 9749, 454, 8138, 539, 1243, 676, 20182, 21662, 454, 293, 655, 24452, 568, 835, 540, 519, 1034, 3532, 5322, 602, 814, 1044, 3964, 1369, 519, 2063, 2540, 269, 4256, 13319, 540, 7862, 1063, 519, 1312, 28486, 814, 4749, 1044, 20295, 609, 519, 12316, 2242, 5189, 883, 519, 8739, 27791, 12106, 538, 6935, 547, 4775, 2924, 269, 901, 666, 581, 2938, 538, 476, 4572, 279, 1141, 2021, 9907, 476, 2641, 543, 936, 17477, 519, 1318, 547, 8917, 267, 538, 476, 3192, 271, 519, 26321, 9796, 2920, 3656, 2213, 3160, 2628, 585, 3160, 960, 5340, 676, 1312, 28486, 543, 538, 476, 3192, 280, 519, 2136, 8003, 729, 18170, 676, 938, 1101, 4775, 11788, 10579, 267, 20152, 2334, 7815, 269, 6468, 723, 1500, 5458, 26058, 538, 519, 15594, 3350, 543, 15029, 1082, 949, 1445, 593, 519, 1064, 14476, 267, 621, 568, 2653, 547, 26777, 519, 2152, 602, 1860, 2367, 609, 2486, 393, 505, 338, 6852, 1445, 4368, 730, 593, 1226, 16226, 2021, 393, 505, 338, 2924, 547, 602, 540, 513, 812, 269, 2494, 30747, 19541, 814, 14751, 539, 602, 476, 1724, 269, 273, 260, 540, 2367, 723, 1044, 9601, 540, 6469, 6057, 2094, 519, 2085, 540, 476, 1626, 267, 993, 23035, 547, 476, 273, 269, 273, 2929, 5256, 9601, 1369, 519, 5177, 269, 5047, 267, 2494, 30747, 19541, 814, 7150, 602, 476, 3066, 260, 540, 2367, 7985, 2168, 5945, 538, 26648, 4334, 547, 476, 2537, 260, 540, 2021, 267, 9446, 532, 2367, 607, 20808, 513, 2362, 8167, 540, 1346, 7092, 689, 4049, 20015, 2358, 610, 11702, 563, 13010, 267, 741, 1239, 20147, 602, 5256, 9601, 630, 3066, 8472, 616, 936, 7466, 607, 2693, 547, 711, 16616, 519, 6057, 602, 789, 7985, 547, 24455, 6466, 1152, 476, 1321, 260, 540, 2021, 5433, 602, 1259, 269, 769, 3871, 1141, 476, 2918, 260, 540, 2021, 1131, 3343, 948, 689, 519, 7128, 267, 1152, 476, 1015, 260, 540, 5256, 9601, 1131, 269, 769, 6381, 1141, 476, 6246, 260, 540, 2021, 1131, 3343, 948, 689, 1346, 27206, 538, 606, 4013, 2990, 267, 1152, 476, 2537, 260, 540, 5256, 9601, 1131, 543, 1141, 476, 2537, 260, 540, 2021, 1131, 3343, 948, 689, 513, 1072, 3318, 267, 1152, 476, 1556, 260, 540, 5256, 9601, 1131, 269, 6736, 891, 26648, 7194, 267, 621, 568, 1350, 2130, 569, 10423, 1946, 2367, 19292, 547, 30035, 971, 1344, 827, 519, 6057, 602, 789, 7985, 689, 741, 7649, 563, 20058, 267, 621, 6013, 609, 519, 1249, 602, 15029, 2021, 723, 1500, 1390, 26058, 538, 15646, 23395, 519, 2757, 4775, 1909, 267, 519, 1482, 814, 711, 1044, 2944, 585, 2367, 269, 21877, 23846, 1310, 1373, 12912, 513, 6153, 15884, 19264, 26513, 585, 519, 6167, 6468, 17019, 2429, 1200, 4633, 585, 519, 1261, 2690, 9515, 22411, 538, 5181, 476, 1001, 275, 602, 15029, 2021, 7683, 1745, 519, 2604, 547, 957, 476, 393, 508, 325, 655, 24100, 267, 393, 509, 2367, 538, 2490, 1745, 519, 2604, 547, 13789, 538, 513, 811, 476, 393, 508, 5733, 1529, 710, 393, 509, 1259, 563, 4415, 519, 11411, 540, 6848, 2604, 267, 2367, 786, 979, 547, 1390, 13080, 547, 711, 1981, 4598, 540, 900, 553, 27218, 267, 2523, 676, 3527, 10268, 676, 602, 540, 519, 32616, 1227, 476, 393, 508, 933, 6033, 393, 509, 3023, 267, 2021, 269, 898, 568, 10423, 602, 2486, 2907, 28420, 2367, 607, 1373, 519, 476, 393, 508, 17641, 518, 393, 509, 543, 476, 393, 508, 3467, 3811, 393, 509, 3023, 609, 519, 6167, 7981, 5917, 16014, 538, 476, 1220, 280, 267, 681, 778, 6130, 2904, 534, 10937, 267, 30418, 602, 2021, 1152, 13822, 476, 5325, 260, 540, 519, 5177, 13781, 269, 769, 519, 12057, 776, 16684, 532, 593, 25947, 13834, 9796, 3690, 10337, 676, 519, 25734, 1299, 5274, 7126, 8189, 538, 476, 1001, 271, 267, 2021, 2324, 2407, 6066, 538, 519, 2883, 5823, 7118, 476, 4649, 260, 1447, 538, 5993, 3328, 14407, 14057, 538, 4334, 547, 741, 5256, 6697, 563, 13010, 267, 519, 6554, 4982, 8017, 8433, 538, 476, 1001, 272, 7150, 602, 519, 3328, 4807, 945, 1568, 2407, 6066, 1063, 519, 6502, 540, 476, 1240, 543, 476, 6795, 1131, 6336, 513, 2698, 540, 11278, 3607, 272, 267, 1822, 538, 14407, 15271, 950, 3379, 547, 1200, 5256, 3160, 269, 3502, 1152, 568, 972, 513, 2603, 540, 2604, 585, 2367, 547, 27481, 713, 3239, 543, 16783, 609, 1018, 741, 6848, 1909, 9598, 919, 799, 568, 602, 540, 1967, 543, 2168, 4222, 267, 855, 621, 568, 849, 2352, 585, 2486, 547, 4605, 513, 812, 607, 513, 1761, 6408, 267, 2523, 676, 602, 540, 513, 4807, 267, 1813, 547, 519, 1249, 649, 1869, 267, 24903, 267, 2661, 538, 513, 30013, 2486, 269, 5980, 393, 505, 338, 6644, 593, 5256, 9601, 568, 849, 8185, 6766, 676, 1346, 9013, 519, 2923, 269, 589, 6305, 1383, 540, 713, 568, 519, 5859, 9250, 676, 6468, 393, 505, 338, 22707, 538, 476, 1220, 278, 267, 476, 393, 508, 1432, 779, 621, 2469, 547, 1491, 286, 5608, 1141, 8370, 4775, 28245, 941, 13227, 1117, 543, 12012, 547, 2408, 607, 952, 789, 1185, 2933, 1044, 9601, 540, 6469, 6057, 563, 1607, 4607, 513, 5458, 2179, 540, 3007, 543, 29211, 538, 2810, 4656, 855, 1128, 2683, 538, 519, 8186, 540, 1082, 519, 2856, 602, 1152, 2021, 1223, 581, 9601, 540, 971, 543, 602, 2367, 6923, 941, 519, 705, 22852, 2094, 476, 4817, 260, 540, 519, 5177, 2551, 1869, 1582, 2697, 607, 10636, 18400, 338, 267, 2687, 547, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 5672, 668, 26163, 538, 713, 5943, 269, 1280, 3236, 789, 949, 581, 8246, 547, 3313, 519, 5912, 16702, 1961, 8090, 540, 519, 5907, 2300, 14591, 585, 519, 1395, 9593, 3889, 543, 519, 3310, 540, 23993, 1063, 513, 1906, 23731, 9593, 4559, 269, 9122, 593, 713, 543, 930, 2596, 7293, 1344, 267, 513, 23993, 2203, 1058, 581, 2111, 547, 6556, 513, 6325, 7447, 540, 519, 669, 597, 1275, 9936, 2282, 513, 16982, 269, 1280, 20966, 2484, 2476, 689, 6949, 1734, 1463, 26398, 540, 519, 9804, 4232, 2218, 4222, 585, 519, 1395, 9593, 543, 1507, 23731, 9593, 4559, 1522, 6556, 3730, 5813, 563, 1103, 519, 1739, 649, 9414, 875, 7061, 7998, 6508, 1239, 666, 581, 1031, 547, 3589, 3601, 540, 513, 2203, 669, 12637, 1570, 269, 1284, 2308, 1934, 26398, 5645, 856, 593, 1079, 669, 12637, 1418, 2210, 28351, 23838, 269, 634, 23838, 616, 711, 2943, 20979, 585, 1164, 669, 597, 1275, 855, 616, 11347, 540, 5266, 1507, 669, 12637, 6675, 609, 26483, 2178, 9804, 2534, 269, 634, 17223, 2418, 666, 581, 3379, 547, 513, 1305, 540, 16861, 8097, 1239, 602, 649, 723, 5833, 689, 9764, 27524, 549, 1143, 2090, 269, 634, 23838, 616, 3254, 538, 8431, 338, 269, 476, 272, 543, 476, 273, 563, 274, 269, 6480, 11582, 540, 519, 669, 597, 1275, 9936, 689, 606, 8097, 7131, 8552, 454, 2414, 5635, 519, 12985, 2164, 547, 4603, 649, 15974, 519, 946, 540, 9764, 27524, 549, 1143, 630, 7374, 264, 1239, 269, 634, 669, 597, 1275, 9936, 540, 513, 1570, 568, 2047, 1644, 547, 519, 9804, 10047, 4222, 543, 3976, 666, 581, 6027, 3842, 519, 9804, 4232, 2218, 24980, 630, 16704, 1040, 901, 568, 711, 2141, 4052, 585, 513, 1804, 2039, 540, 20966, 267, 543, 3976, 606, 4244, 1259, 540, 21501, 519, 669, 597, 1275, 9936, 568, 547, 2308, 519, 918, 1090, 619, 11860, 1258, 580, 630, 298, 298, 264, 2981, 540, 519, 9764, 27524, 549, 1143, 8552, 540, 513, 1570, 269, 1284, 723, 6027, 519, 7131, 8552, 540, 519, 15281, 1950, 630, 8993, 269, 476, 272, 264, 538, 4874, 1337, 1106, 538, 3070, 693, 513, 5834, 540, 476, 275, 269, 275, 9943, 1015, 268, 277, 631, 269, 589, 10230, 918, 298, 7004, 630, 5408, 4676, 269, 476, 1626, 585, 3877, 264, 26857, 519, 10758, 291, 689, 799, 519, 1871, 540, 519, 9804, 4232, 2218, 9936, 267, 16061, 267, 693, 1142, 15423, 666, 581, 13939, 269, 9122, 972, 2390, 649, 7447, 519, 669, 597, 1275, 9936, 630, 514, 16038, 4559, 264, 540, 519, 15281, 1950, 689, 10778, 3602, 715, 568, 519, 5834, 540, 519, 669, 12637, 6675, 267, 13179, 271, 568, 519, 27978, 540, 1863, 2230, 267, 28911, 568, 519, 1769, 779, 4908, 267, 524, 568, 519, 3432, 540, 1769, 538, 12511, 269, 4329, 267, 16061, 568, 519, 9804, 4232, 2218, 9936, 540, 513, 11140, 602, 568, 3160, 547, 519, 3017, 1063, 519, 10066, 958, 30714, 8701, 714, 3809, 585, 519, 2451, 26370, 543, 1318, 26370, 26445, 540, 1769, 269, 634, 9804, 4232, 2218, 9936, 16061, 538, 4559, 540, 1496, 290, 273, 332, 274, 32434, 316, 568, 1644, 547, 519, 12550, 2675, 641, 1227, 4767, 9804, 10047, 5086, 26420, 540, 513, 5420, 607, 912, 3602, 26420, 568, 538, 1496, 2784, 8276, 316, 543, 562, 568, 519, 31659, 4994, 540, 519, 5420, 269, 634, 630, 333, 476, 273, 1341, 476, 273, 8358, 274, 3815, 538, 519, 2063, 3830, 949, 581, 5462, 538, 519, 705, 2332, 1470, 630, 5408, 2630, 264, 26398, 676, 6236, 5420, 2360, 593, 16061, 2047, 267, 585, 3236, 676, 14139, 513, 27795, 2203, 269, 1280, 519, 3483, 540, 713, 3355, 1353, 649, 723, 20495, 5420, 2360, 538, 519, 26398, 563, 1103, 8431, 269, 476, 274, 649, 1397, 519, 6027, 24855, 14248, 328, 10364, 640, 538, 6671, 4559, 540, 1496, 19592, 4699, 273, 7933, 28485, 316, 543, 519, 10758, 291, 5833, 689, 513, 10230, 918, 1090, 619, 11860, 1258, 580, 7004, 540, 519, 7131, 8552, 269, 4329, 267, 649, 1397, 519, 7222, 24980, 540, 519, 669, 597, 1275, 9936, 267, 3852, 374, 267, 585, 519, 32561, 3070, 1031, 585, 519, 7403, 269, 1306, 835, 666, 1294, 267, 519, 669, 597, 1275, 9936, 568, 5393, 1507, 267, 1256, 538, 519, 22298, 3148, 269, 634, 9588, 540, 3852, 374, 666, 11593, 581, 2799, 676, 827, 476, 276, 9753, 540, 9588, 676, 1210, 513, 13557, 4396, 540, 519, 669, 12637, 12249, 3079, 540, 513, 32561, 3070, 269, 769, 519, 4396, 519, 5834, 540, 519, 669, 12637, 6675, 1131, 581, 593, 519, 1931, 540, 476, 272, 1107, 476, 1015, 631, 269, 1717, 267, 1256, 538, 519, 2013, 540, 513, 5420, 7768, 7357, 540, 519, 669, 12637, 15281, 1950, 12249, 519, 669, 597, 1275, 9936, 1131, 1869, 581, 593, 519, 1931, 540, 476, 1015, 268, 274, 799, 568, 3648, 2539, 982, 1018, 568, 2877, 547, 3035, 513, 2942, 31659, 4994, 538, 519, 1055, 9113, 517, 656, 4908, 2039, 269, 901, 12987, 585, 513, 9781, 543, 1374, 540, 7636, 3889, 609, 3648, 2362, 669, 597, 1275, 563, 275, 269, 6480, 11582, 540, 519, 669, 597, 1275, 9936, 676, 1797, 540, 705, 2332, 1470, 9273, 454, 16352, 606, 8097, 7447, 585, 519, 9588, 540, 519, 669, 597, 1275, 9936, 267, 649, 1631, 7832, 593, 7811, 9781, 540, 519, 669, 10098, 696, 673, 3601, 547, 2708, 519, 535, 23474, 540, 519, 7061, 3114, 1935, 269, 634, 669, 597, 1275, 9936, 666, 581, 6059, 998, 26169, 269, 630, 274, 1070, 2921, 519, 2418, 540, 16061, 17223, 705, 2332, 1470, 2687, 547, 454, 3602, 717, 12664, 4512, 616, 519, 15497, 2609, 540, 519, 14934, 1674, 21723, 630, 332, 12089, 3167, 2173, 8568, 16702, 1961, 8701, 714, 1464, 264, 799, 568, 18005, 3989, 607, 454, 2080, 543, 544, 392, 480, 616, 3167, 16702, 1961, 543, 6419, 16702, 1961, 4090, 12427, 267, 6606, 269, 898, 568, 26656, 547, 4063, 1934, 602, 519, 10250, 540, 14934, 1674, 21723, 568, 15378, 5169, 4830, 799, 2306, 621, 519, 1152, 28507, 7274, 585, 513, 669, 12637, 13666, 22241, 5420, 630, 338, 1828, 540, 669, 12637, 6675, 1040, 769, 1931, 547, 3489, 5169, 23949, 8817, 9804, 10047, 21723, 2609, 621, 568, 2556, 547, 1331, 606, 3167, 22712, 14442, 1961, 2165, 538, 1840, 547, 717, 12664, 1496, 1240, 267, 866, 4940, 1284, 1448, 856, 602, 519, 9804, 4232, 2218, 9936, 568, 711, 7229, 12799, 689, 513, 14805, 566, 607, 538, 26169, 269, 630, 277, 264, 855, 689, 513, 5276, 3210, 1599, 6508, 4481, 585, 519, 942, 17466, 5860, 1922, 23341, 3069, 630, 31813, 5263, 307, 264, 1935, 602, 729, 1031, 585, 713, 1353, 1496, 736, 267, 476, 2641, 4940, 769, 713, 1935, 782, 2300, 14591, 2009, 1369, 519, 2016, 13113, 4493, 1305, 616, 17697, 569, 3769, 538, 519, 9819, 540, 16061, 563, 2171, 723, 5340, 570, 291, 5263, 307, 5276, 3210, 9273, 538, 513, 2647, 2039, 540, 12451, 585, 519, 15281, 543, 3213, 23838, 3254, 538, 8431, 338, 269, 476, 272, 543, 476, 273, 630, 5408, 23959, 594, 543, 4083, 585, 519, 2164, 1040, 634, 1871, 540, 1719, 568, 519, 3167, 16702, 1961, 2173, 8568, 16702, 1961, 8701, 714, 1464, 630, 4445, 1674, 21723, 1040, 2353, 26398, 941, 5340, 609, 513, 17354, 779, 4528, 540, 519, 24545, 25670, 23398, 630, 4696, 293, 264, 1982, 10189, 476, 1210, 519, 3009, 4330, 538, 4676, 269, 476, 2537, 269, 19630, 1242, 22762, 1845, 941, 5833, 1210, 519, 15428, 3131, 323, 1168, 5174, 584, 651, 7232, 337, 333, 10045, 327, 1993, 630, 516, 341, 303, 23813, 264, 6198, 543, 513, 8701, 1242, 17784, 22271, 9508, 630, 307, 313, 303, 264, 6215, 831, 15178, 11046, 19721, 4493, 1305, 585, 15281, 543, 3213, 267, 513, 5595, 22271, 9508, 630, 291, 313, 264, 4493, 1305, 585, 670, 267, 543, 513, 8701, 1242, 5595, 22271, 9508, 630, 291, 313, 303, 264, 4493, 1305, 585, 595, 267, 715, 267, 744, 269, 634, 4493, 5036, 941, 3144, 689, 519, 5084, 293, 476, 3044, 4493, 1305, 5399, 269, 634, 5276, 268, 24978, 9273, 585, 519, 15281, 1950, 941, 5340, 693, 519, 570, 313, 303, 22812, 341, 303, 23813, 1377, 540, 3069, 269, 769, 1931, 547, 3489, 6325, 9804, 32186, 693, 610, 2282, 16982, 20966, 649, 723, 6964, 513, 2518, 14927, 532, 9936, 267, 29339, 2073, 799, 729, 1305, 547, 476, 271, 269, 866, 552, 309, 1759, 593, 3105, 1995, 609, 2147, 26398, 1547, 901, 14927, 532, 9936, 10199, 14687, 547, 519, 3368, 2914, 5954, 693, 3368, 8445, 4463, 540, 519, 7131, 13164, 538, 519, 11158, 13305, 529, 3148, 540, 519, 8552, 630, 1492, 2407, 8700, 693, 3368, 8445, 4463, 540, 519, 476, 14596, 16354, 6512, 538, 8431, 269, 476, 274, 5416, 264, 568, 1309, 269, 476, 271, 269, 275, 552, 309, 264, 543, 4061, 4564, 513, 9308, 6209, 7274, 538, 519, 5276, 3210, 26398, 2282, 713, 16982, 269, 1280, 519, 5385, 2275, 528, 21975, 17830, 519, 740, 328, 629, 1738, 2199, 5860, 19406, 814, 1044, 1031, 563, 763, 2164, 540, 938, 705, 2332, 1470, 9273, 616, 13269, 538, 8431, 269, 476, 275, 269, 634, 5834, 540, 669, 12637, 6675, 729, 1305, 547, 476, 275, 269, 275, 6398, 1015, 268, 277, 631, 538, 1931, 547, 5635, 2047, 609, 519, 4603, 269, 634, 6476, 568, 15069, 10169, 3908, 538, 9165, 1317, 519, 8097, 1239, 723, 1044, 5833, 585, 513, 12249, 6466, 519, 19106, 729, 5340, 593, 519, 1395, 9593, 1770, 269, 16480, 267, 519, 7811, 1239, 1058, 2285, 513, 11315, 7447, 540, 519, 669, 597, 1275, 9936, 547, 581, 4397, 607, 1279, 607, 519, 1395, 9593, 4559, 538, 519, 12249, 798, 711, 7008, 1932, 9244, 269, 901, 1281, 711, 3100, 547, 581, 519, 2013, 2094, 519, 27985, 17223, 3852, 374, 568, 540, 519, 1482, 1931, 540, 9588, 607, 519, 835, 17223, 689, 519, 8097, 7131, 8552, 630, 5408, 8431, 338, 269, 476, 274, 543, 476, 275, 1040, 1306, 2907, 5018, 267, 519, 1970, 6207, 1871, 540, 519, 669, 597, 1275, 9936, 568, 538, 851, 1813, 547, 519, 1970, 5834, 540, 669, 12637, 2249, 538, 3070, 563, 3080, 2115, 547, 2446, 1934, 602, 538, 2013, 540, 519, 13557, 1570, 609, 513, 1360, 1164, 1297, 5860, 540, 519, 25499, 9988, 267, 519, 2500, 669, 597, 1275, 9936, 540, 519, 5420, 949, 991, 547, 581, 17223, 609, 513, 811, 10853, 2203, 585, 519, 2199, 2361, 2360, 269, 1717, 267, 519, 2333, 540, 5834, 4805, 786, 711, 6556, 513, 669, 597, 1275, 9936, 602, 568, 1804, 2614, 547, 3035, 2942, 1201, 3555, 538, 513, 1062, 3710, 540, 5266, 2241, 6675, 899, 1346, 2808, 1934, 269, 1306, 5018, 1354, 267, 835, 10325, 547, 3035, 29208, 540, 669, 597, 1275, 568, 998, 24101, 1090, 12817, 10198, 540, 669, 12637, 4559, 538, 927, 673, 1106, 563, 21446, 2299, 267, 610, 538, 1840, 547, 602, 267, 835, 1522, 581, 2111, 547, 1118, 946, 540, 513, 7522, 16982, 547, 2539, 519, 1871, 540, 519, 1483, 851, 540, 519, 30526, 3586, 12725, 269, 901, 949, 1683, 513, 4960, 547, 3489, 513, 2942, 31659, 4994, 538, 513, 7522, 4908, 2039, 269, 901, 8545, 1935, 568, 2808, 538, 519, 1985, 3296, 563, 276, 269, 570, 12941, 519, 2500, 31659, 4994, 540, 519, 669, 12637, 5420, 676, 7311, 9842, 3000, 545, 538, 7501, 454, 3080, 666, 679, 6665, 720, 513, 3510, 1141, 519, 30526, 1599, 540, 513, 1570, 568, 9168, 676, 4946, 547, 519, 669, 12637, 5119, 1776, 5057, 799, 2488, 585, 513, 2199, 21109, 540, 519, 30526, 3586, 269, 2290, 971, 7872, 568, 998, 10962, 9842, 3000, 545, 538, 7501, 267, 971, 607, 4496, 20543, 269, 901, 666, 2539, 519, 1483, 851, 540, 30526, 11863, 339, 2032, 540, 519, 12432, 1570, 267, 7551, 3246, 519, 865, 10777, 968, 577, 12637, 562, 8811, 1006, 5608, 543, 1256, 948, 538, 1139, 7675, 519, 16494, 851, 540, 519, 11863, 339, 2032, 267, 3976, 20408, 22298, 2530, 269, 1284, 1058, 4063, 1934, 602, 968, 577, 12637, 562, 8811, 1006, 892, 2783, 666, 538, 6240, 581, 7691, 538, 2489, 1979, 28104, 32430, 1875, 3146, 27457, 20934, 630, 307, 16279, 2102, 264, 2923, 610, 14934, 8527, 22241, 669, 12637, 2923, 1510, 1022, 3606, 538, 7501, 269, 1717, 267, 713, 1131, 1152, 8451, 950, 519, 1875, 3146, 27457, 10635, 640, 9936, 568, 1804, 610, 950, 15497, 543, 1055, 26817, 21192, 3334, 540, 519, 11863, 339, 2032, 21723, 22599, 1142, 824, 269, 1452, 3871, 616, 21845, 538, 1454, 1469, 538, 4676, 338, 269, 476, 277, 543, 476, 278, 543, 786, 4061, 711, 581, 5941, 2417, 538, 713, 960, 269, 4340, 547, 2073, 519, 2500, 30526, 11863, 339, 2032, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8702, 547, 938, 3408, 540, 875, 6530, 666, 948, 1004, 945, 723, 513, 4524, 1572, 834, 338, 577, 16333, 1701, 5576, 16333, 5540, 875, 2576, 14659, 267, 7959, 267, 543, 31136, 269, 1358, 949, 1294, 610, 5873, 1919, 602, 5749, 1405, 972, 267, 3494, 1866, 616, 9013, 741, 4555, 267, 610, 1745, 1360, 19035, 827, 4948, 3871, 269, 1452, 2833, 616, 1634, 607, 834, 17595, 5328, 2589, 257, 543, 789, 666, 2014, 513, 2603, 540, 2566, 543, 2042, 538, 3232, 1272, 780, 3080, 1259, 3173, 2119, 547, 948, 1004, 609, 18624, 568, 998, 1945, 1572, 834, 322, 4321, 8965, 3797, 2437, 4481, 2966, 585, 2618, 2670, 267, 1419, 28484, 607, 24399, 335, 269, 901, 1826, 540, 3797, 2337, 1004, 1451, 1007, 2081, 540, 3206, 827, 741, 2833, 543, 1265, 1732, 12003, 2994, 269, 1809, 1281, 621, 2731, 960, 286, 1656, 952, 865, 267, 1018, 2242, 4010, 1281, 621, 3142, 827, 286, 2334, 781, 10502, 1018, 649, 786, 5490, 883, 2439, 20058, 267, 1577, 721, 12172, 930, 2474, 269, 589, 834, 5471, 320, 20400, 257, 1797, 7535, 532, 1927, 2164, 689, 1896, 2090, 547, 1174, 519, 8273, 4605, 269, 634, 3173, 1705, 1175, 602, 676, 11018, 1239, 689, 476, 3607, 1114, 6901, 1141, 5171, 1185, 18624, 610, 2147, 4713, 269, 21009, 540, 891, 2090, 5059, 593, 834, 10818, 532, 257, 1107, 10416, 267, 3168, 693, 875, 1134, 1004, 1223, 4383, 1554, 3562, 6377, 4247, 899, 10918, 267, 7738, 267, 610, 2324, 780, 3086, 4952, 2348, 513, 3659, 945, 9620, 609, 26050, 1813, 547, 6217, 9739, 610, 4743, 31510, 1355, 269, 2991, 18460, 24399, 335, 267, 5310, 707, 3659, 3587, 811, 8746, 538, 7829, 2144, 571, 2738, 10446, 1317, 646, 4121, 2553, 547, 6023, 1346, 796, 3553, 339, 1782, 4606, 269, 2060, 4824, 1983, 547, 6330, 1010, 10450, 5103, 1010, 2783, 267, 1010, 2949, 2702, 547, 1599, 4679, 3648, 269, 901, 9183, 14550, 835, 2009, 6364, 950, 7311, 24399, 335, 2409, 547, 2087, 8647, 538, 1483, 1272, 780, 3719, 3180, 593, 282, 5355, 8647, 3884, 1405, 3388, 256, 4658, 2713, 609, 18624, 849, 1995, 1713, 3929, 11605, 543, 4389, 2298, 540, 1272, 269, 9747, 267, 519, 3173, 2417, 8947, 2436, 24399, 335, 10970, 7007, 971, 24675, 1932, 269, 5457, 267, 1498, 267, 602, 5883, 4664, 543, 7393, 1272, 9547, 979, 3564, 8806, 6104, 5109, 3232, 11645, 269, 1924, 267, 1577, 781, 2263, 4514, 13718, 4131, 781, 2015, 1776, 1383, 5473, 513, 2875, 3957, 16092, 945, 14560, 7206, 855, 18387, 1405, 13603, 909, 1200, 26814, 2094, 1373, 8995, 609, 18624, 269, 3414, 24399, 335, 7886, 267, 1352, 25395, 8902, 4485, 547, 11883, 609, 4160, 4547, 593, 676, 26390, 5209, 1247, 2870, 1148, 269, 9182, 267, 1352, 1036, 1622, 7772, 538, 7206, 543, 2699, 8646, 951, 9887, 3544, 519, 32604, 540, 1200, 5868, 269, 1635, 1574, 532, 16092, 781, 11605, 267, 24399, 335, 18549, 6173, 919, 1200, 2298, 540, 1272, 780, 13295, 267, 4352, 4505, 1382, 11130, 936, 5634, 9283, 538, 4295, 2589, 1310, 1210, 24399, 335, 267, 18960, 4681, 2303, 922, 1761, 1764, 11498, 2484, 3564, 602, 7522, 9165, 269, 1879, 4294, 3927, 267, 24399, 335, 4667, 5827, 540, 5807, 9645, 3986, 906, 538, 1585, 18125, 540, 1272, 585, 2043, 21679, 609, 18624, 269, 4197, 891, 6626, 2640, 10741, 9885, 585, 1821, 2358, 1256, 811, 7347, 9354, 7459, 1524, 519, 1899, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 29038, 3194, 2376, 454, 268, 7046, 1569, 454, 268, 15618, 281, 476, 1704, 5147, 476, 1001, 279, 454, 290, 4321, 29007, 531, 10657, 585, 18624, 910, 4093, 585, 8647, 267, 11605, 543, 2298, 540, 1272, 281, 513, 13849, 20400, 454, 268, 3223, 603, 681, 269, 16572, 476, 272, 31377, 268, 12832, 1961, 11023, 28002, 476, 272, 31377, 268, 1855, 329, 5407, 918, 269, 918, 1180, 601, 476, 273, 31377, 268, 8834, 808, 269, 21025, 28225, 476, 274, 1299, 454, 268, 23893, 518, 808, 879, 9618, 476, 275, 454, 289, 10157, 10017, 4320, 476, 277, 2073, 9137, 1297, 281, 476, 3953, 630, 476, 1001, 279, 3738, 25737, 713, 2376, 454, 763, 1198, 540, 5042, 24040, 3797, 585, 2618, 2670, 630, 30274, 335, 264, 593, 519, 4295, 2589, 540, 18624, 814, 8810, 1543, 1190, 267, 609, 1699, 13849, 12845, 26087, 525, 4466, 693, 1034, 1152, 1507, 2360, 269, 1717, 267, 621, 814, 1044, 6700, 602, 519, 2360, 540, 24399, 335, 538, 2127, 824, 982, 2618, 5328, 2589, 616, 693, 2547, 607, 1271, 543, 5732, 4324, 689, 519, 6304, 563, 2171, 13849, 12845, 26087, 539, 681, 6311, 338, 14236, 519, 7145, 540, 24399, 335, 585, 8647, 267, 11605, 543, 2298, 540, 1272, 538, 2043, 8995, 609, 18624, 543, 1644, 4713, 269, 4578, 689, 476, 3607, 4351, 2213, 6417, 8062, 630, 305, 6311, 338, 264, 1558, 938, 10014, 7355, 268, 476, 2767, 12570, 8647, 630, 272, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13662, 22180, 1315, 5369, 31752, 1315, 19837, 1539, 894, 14740, 13081, 1315, 634, 8427, 22604, 547, 16949, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 1684, 2659, 22458, 543, 5269, 1575, 899, 32368, 327, 807, 23045, 692, 7072, 912, 11390, 903, 327, 807, 23045, 568, 606, 1977, 22256, 1606, 784, 23116, 543, 8613, 7209, 1634, 585, 1200, 9997, 995, 5639, 267, 1196, 4445, 6752, 2631, 267, 543, 11495, 17539, 5654, 269, 901, 5850, 786, 3391, 596, 998, 8236, 513, 4552, 543, 17539, 2511, 2147, 547, 32368, 327, 807, 781, 15040, 12716, 269, 7490, 4063, 602, 1247, 713, 5850, 6663, 547, 21613, 32368, 327, 807, 781, 1413, 607, 5702, 607, 2009, 267, 1367, 2164, 949, 4268, 4470, 593, 2188, 971, 607, 11132, 2497, 267, 2960, 3159, 267, 543, 4552, 1826, 780, 4089, 476, 272, 281, 19369, 630, 11742, 2838, 281, 476, 276, 268, 1015, 3764, 2020, 3721, 476, 272, 281, 20283, 3026, 10354, 15733, 543, 13088, 454, 6524, 4358, 267, 2327, 596, 723, 782, 2556, 2472, 543, 2645, 693, 1688, 269, 1452, 1331, 1384, 265, 7690, 610, 29851, 8645, 12805, 707, 2960, 3159, 454, 265, 1230, 576, 29993, 835, 12094, 14402, 982, 707, 5748, 454, 265, 17553, 8869, 454, 265, 28438, 17495, 578, 29984, 609, 1319, 974, 18707, 538, 512, 879, 701, 267, 6960, 267, 543, 3109, 454, 265, 4563, 22442, 10719, 15513, 610, 15074, 561, 10719, 454, 265, 8771, 561, 10449, 610, 544, 2444, 4673, 454, 265, 2349, 2313, 538, 513, 890, 778, 344, 11909, 27280, 454, 265, 31209, 532, 8869, 610, 5277, 5031, 454, 265, 645, 992, 533, 558, 1228, 610, 15513, 538, 513, 12094, 2673, 547, 707, 2067, 536, 992, 2681, 454, 265, 25927, 1075, 550, 3068, 8869, 454, 265, 5269, 1575, 26814, 543, 26703, 1972, 2209, 454, 265, 22750, 1852, 1587, 610, 18908, 1782, 15074, 454, 265, 10395, 610, 11453, 454, 265, 22458, 13218, 267, 27342, 2421, 20382, 267, 610, 2212, 7171, 630, 28436, 2020, 3721, 476, 273, 281, 11162, 572, 543, 7720, 626, 584, 1125, 16164, 454, 27662, 572, 707, 3068, 1210, 513, 9543, 18274, 518, 267, 1287, 5848, 584, 1125, 609, 513, 3289, 7992, 2603, 542, 610, 16796, 269, 14190, 519, 5848, 584, 6500, 547, 10110, 883, 707, 2960, 1354, 23312, 547, 7413, 1212, 2084, 543, 2087, 15325, 540, 707, 17539, 3498, 780, 4089, 476, 273, 281, 12476, 5269, 1575, 630, 11742, 2838, 281, 476, 1015, 268, 1428, 3764, 2020, 3721, 476, 274, 281, 15233, 7690, 610, 29851, 31201, 454, 8794, 2901, 513, 14927, 17539, 26703, 610, 6366, 1283, 737, 629, 25431, 11453, 267, 11100, 707, 6074, 3490, 1587, 936, 707, 3003, 3068, 269, 10312, 3226, 593, 2127, 1141, 3795, 568, 2877, 1034, 910, 1472, 519, 9224, 267, 24060, 267, 543, 896, 519, 4064, 269, 2142, 2386, 547, 3442, 513, 4542, 609, 5420, 547, 2407, 3795, 547, 900, 3634, 32368, 327, 807, 781, 25509, 1950, 542, 780, 3721, 476, 275, 281, 7822, 22043, 543, 1230, 576, 531, 454, 291, 629, 10703, 29993, 5196, 1022, 7298, 6926, 332, 8460, 267, 4158, 10580, 267, 610, 25017, 269, 2422, 513, 1507, 10991, 11453, 610, 31840, 547, 9900, 2046, 543, 11100, 519, 10703, 29993, 2394, 16900, 7471, 609, 519, 4478, 5748, 269, 8838, 585, 513, 5594, 14402, 12094, 982, 707, 5748, 547, 1711, 6505, 2287, 1198, 1510, 3168, 1932, 22880, 610, 5841, 780, 3721, 476, 276, 281, 5590, 5269, 1575, 609, 32254, 454, 2414, 2061, 19542, 543, 10804, 5957, 942, 267, 21066, 7452, 4259, 8869, 2066, 707, 30432, 267, 1750, 4060, 267, 9224, 267, 543, 24060, 1210, 513, 2770, 27918, 8869, 11453, 269, 9796, 2027, 3007, 547, 2127, 12155, 547, 3282, 1465, 2429, 519, 1554, 267, 971, 607, 519, 570, 22271, 821, 780, 3721, 476, 277, 281, 2552, 712, 4258, 2131, 321, 2158, 454, 16521, 513, 3579, 268, 2023, 539, 11487, 10045, 610, 26048, 8869, 1079, 18707, 4514, 982, 707, 2960, 3159, 269, 4635, 606, 2587, 1194, 1025, 2313, 11453, 267, 30908, 519, 1587, 2059, 519, 17860, 338, 540, 707, 32336, 321, 2158, 267, 4358, 689, 1175, 2630, 519, 9018, 7944, 540, 707, 3750, 543, 3001, 2509, 707, 1274, 269, 2349, 754, 1134, 547, 2057, 10792, 3515, 543, 2226, 513, 11029, 4214, 780, 4089, 476, 274, 281, 16685, 5269, 1575, 630, 11742, 2838, 281, 476, 1428, 268, 736, 3764, 2020, 3721, 476, 278, 281, 11788, 700, 1749, 454, 7343, 569, 513, 6094, 4494, 540, 4064, 17495, 578, 29194, 610, 10703, 29993, 547, 707, 19984, 1858, 547, 1683, 513, 5347, 17198, 585, 14692, 3498, 543, 2333, 922, 9363, 1379, 780, 3721, 476, 279, 281, 8073, 513, 3026, 23018, 12476, 454, 15675, 513, 1319, 974, 562, 8775, 610, 1769, 581, 15607, 4064, 17495, 578, 543, 3640, 621, 5196, 707, 19984, 1210, 513, 6366, 4064, 17495, 578, 11453, 269, 6987, 754, 519, 2681, 909, 547, 519, 536, 992, 5642, 267, 4180, 1256, 3892, 543, 14874, 1022, 32396, 780, 3721, 476, 280, 281, 12706, 9502, 454, 303, 1157, 513, 3636, 4571, 2389, 821, 6960, 4064, 17495, 578, 543, 5581, 707, 1212, 848, 676, 27789, 519, 12094, 1394, 543, 8521, 609, 513, 2571, 2531, 539, 11453, 269, 3399, 693, 519, 9018, 6316, 540, 707, 5580, 561, 1662, 1899, 543, 960, 707, 1259, 2509, 519, 6418, 7944, 267, 2519, 593, 29947, 519, 23094, 1858, 269, 9941, 569, 11100, 21286, 547, 27556, 8728, 543, 1711, 10155, 780, 3721, 476, 1015, 281, 12213, 523, 4934, 518, 966, 454, 4415, 513, 4130, 7148, 1229, 16471, 11453, 267, 2824, 513, 4514, 6960, 610, 512, 879, 701, 14692, 543, 1445, 593, 2417, 10747, 519, 9018, 7944, 9497, 309, 8442, 540, 707, 3750, 269, 4964, 543, 2220, 20071, 519, 20119, 883, 1747, 267, 23622, 8515, 2282, 519, 561, 1662, 1899, 543, 16471, 16057, 4724, 519, 3105, 1212, 848, 2681, 269, 19321, 14429, 4369, 1063, 891, 5912, 18707, 676, 28663, 886, 6748, 741, 6302, 1927, 780, 3721, 476, 1556, 281, 3911, 5803, 13722, 700, 1662, 7412, 454, 18933, 3558, 547, 513, 15513, 11453, 543, 4584, 909, 930, 31629, 14692, 689, 519, 4514, 6960, 610, 512, 879, 701, 27280, 1031, 4505, 269, 700, 4774, 10250, 2059, 519, 2539, 561, 1662, 1899, 267, 8220, 519, 9018, 3791, 540, 707, 5580, 561, 1662, 1899, 543, 14178, 1524, 2072, 269, 901, 4480, 8591, 3666, 543, 15364, 1063, 519, 5580, 543, 2539, 561, 1662, 6050, 1247, 14556, 4328, 2949, 15137, 1465, 780, 3721, 476, 1321, 281, 2271, 839, 1518, 4826, 1467, 454, 18118, 707, 1216, 1467, 609, 513, 3109, 22442, 10719, 15513, 610, 15074, 561, 10719, 547, 1039, 12416, 543, 11168, 707, 4064, 269, 1280, 3773, 15325, 267, 1305, 519, 561, 10719, 609, 513, 25640, 20399, 8869, 4064, 17495, 578, 4294, 3842, 513, 1507, 1159, 19276, 11453, 780, 3721, 476, 1724, 281, 15233, 700, 10449, 610, 631, 2444, 4673, 454, 19226, 880, 1055, 519, 3750, 1413, 676, 7311, 7301, 561, 10449, 610, 2789, 25151, 540, 2019, 636, 1944, 544, 2444, 4673, 547, 1312, 5580, 543, 2539, 561, 10449, 269, 1403, 1904, 532, 585, 535, 1023, 625, 267, 16013, 873, 2687, 547, 707, 3750, 3337, 543, 15666, 1739, 10672, 5528, 269, 4495 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 19408, 5615, 267, 1851, 1866, 563, 28899, 4965, 2589, 1331, 12675, 4606, 540, 18354, 267, 7962, 1465, 267, 4502, 16531, 610, 1970, 7099, 267, 796, 19055, 762, 24986, 267, 9854, 267, 1560, 31191, 267, 1373, 9308, 30281, 1524, 267, 9561, 1719, 538, 2238, 7363, 10150, 267, 1373, 8572, 547, 3207, 5265, 610, 12008, 1932, 1454, 267, 8373, 1818, 3664, 610, 23622, 267, 543, 4555, 540, 11980, 267, 2059, 609, 1866, 269, 1306, 5018, 1657, 267, 2618, 5328, 2589, 949, 581, 1459, 607, 1134, 563, 1103, 519, 20158, 5123, 540, 20676, 1054, 2096, 807, 267, 519, 1034, 4049, 2589, 971, 607, 647, 545, 573, 1275, 543, 2618, 2670, 616, 711, 1459, 267, 543, 519, 20158, 7099, 568, 711, 771, 29058, 563, 300, 580, 9627, 12870, 1656, 17520, 281, 1548, 1411, 9701, 5700, 454, 2080, 779, 519, 11213, 5168, 332, 580, 9627, 14331, 267, 4965, 267, 543, 4160, 4749, 2049, 1927, 543, 621, 779, 513, 27615, 13135, 555, 4181, 727, 269, 1809, 519, 1883, 547, 4227, 31264, 1175, 949, 9114, 538, 8156, 707, 2790, 1072, 269, 3371, 779, 1946, 563, 307, 11661, 519, 4160, 543, 4965, 602, 1419, 13173, 26043, 666, 2569, 519, 4908, 543, 8515, 540, 519, 14331, 563, 2252, 596, 616, 2713, 609, 26043, 267, 596, 949, 2907, 917, 596, 516, 693, 1981, 585, 4160, 543, 4965, 269, 769, 1249, 267, 1004, 609, 26043, 616, 1079, 547, 2947, 2053, 811, 2693, 547, 1995, 835, 540, 891, 2790, 1072, 2175, 267, 2687, 547, 519, 1977, 20353, 9627, 7690, 269, 2368, 476, 2004, 260, 540, 26043, 2550, 723, 4160, 1247, 476, 1839, 260, 2661, 609, 4965, 269, 272, 454, 300, 580, 9627, 666, 581, 27676, 543, 20437, 267, 4967, 5981, 17435, 527, 686, 340, 267, 11022, 267, 945, 568, 5595, 4604, 2275, 1068, 1881, 538, 2618, 17226, 543, 3207, 4915, 543, 568, 519, 13653, 540, 9093, 5979, 5244, 24741, 543, 12619, 6925, 538, 9093, 5979, 5244, 267, 4993, 563, 300, 580, 9627, 666, 849, 1711, 513, 2631, 540, 1253, 6412, 540, 1582, 269, 1411, 21645, 917, 950, 519, 1985, 4323, 949, 4755, 543, 1018, 2534, 621, 949, 15936, 609, 267, 646, 3081, 269, 15332, 1272, 954, 8306, 267, 26043, 568, 2352, 543, 11213, 269, 1703, 666, 581, 4160, 936, 519, 1985, 4323, 543, 4965, 1317, 540, 1373, 8572, 547, 1205, 519, 2589, 4628, 896, 1852, 563, 32247, 20353, 9627, 21912, 547, 17520, 543, 12870, 454, 1692, 6164, 532, 17520, 543, 12870, 6435, 609, 20353, 9627, 10361, 2851, 454, 13349, 20050, 540, 17520, 454, 307, 11661, 20353, 9627, 267, 17520, 267, 543, 12870, 454, 27775, 2105, 7335, 281, 20353, 9627, 10361, 5995, 2060, 674, 1197, 454, 301, 969, 748, 3590, 1656, 769, 25691, 454, 5278, 3173, 3494, 602, 930, 540, 519, 2242, 3361, 676, 26707, 686, 2670, 1223, 2491, 922, 4276, 609, 31264, 269, 4706, 1044, 6700, 602, 1439, 334, 666, 2014, 519, 3844, 8401, 1062, 547, 1831, 936, 5562, 267, 799, 1223, 9594, 513, 26043, 269, 6271, 3069, 568, 602, 26707, 686, 2670, 5012, 547, 519, 2504, 540, 12982, 543, 1928, 27351, 6748, 6464, 269, 901, 1223, 6038, 1291, 547, 7050, 1928, 8417, 543, 5732, 9594, 26043, 6285, 563, 1432, 1772, 18520, 6796, 17583, 454, 13553, 776, 3028, 4276, 568, 513, 1505, 540, 3028, 4276, 585, 513, 9659, 602, 814, 1044, 3361, 676, 513, 2783, 602, 568, 2907, 3028, 268, 8588, 5919, 634, 1034, 2629, 851, 540, 9591, 6281, 3028, 4276, 568, 3246, 513, 683, 343, 639, 563, 288, 683, 343, 639, 568, 513, 2564, 6644, 602, 6402, 513, 18884, 6281, 9659, 547, 519, 9659, 602, 568, 2907, 3028, 268, 8588, 5919, 769, 1931, 547, 581, 11292, 6281, 3028, 4276, 267, 972, 1590, 581, 513, 2564, 683, 343, 639, 602, 5693, 20964, 519, 4276, 1063, 519, 3119, 2783, 610, 9659, 543, 519, 6281, 2783, 610, 9659, 563, 2414, 3758, 513, 3409, 585, 6281, 3028, 4276, 267, 18884, 949, 3758, 22622, 4813, 476, 2641, 268, 276, 2918, 267, 519, 1482, 607, 952, 519, 25982, 941, 25937, 585, 3028, 4276, 5919, 27851, 786, 1616, 547, 581, 2386, 789, 5815, 593, 519, 1106, 602, 789, 616, 25937, 585, 6281, 3028, 4276, 543, 1331, 782, 519, 2556, 2963, 267, 971, 607, 519, 5868, 267, 2564, 683, 343, 639, 267, 543, 1022, 2482, 6898, 547, 3715, 519, 538, 28129, 12136, 610, 2491, 875, 519, 6281, 2783, 729, 3361, 676, 519, 3312, 3028, 268, 8588, 2783, 563, 27775, 2105, 7335, 281, 2052, 589, 2466, 2815, 344, 1467, 2142, 13242, 1280, 20353, 28152, 454, 2791, 2904, 5620, 1325, 2819, 1261, 731, 2986, 634, 966, 27534, 715, 2925, 769, 2290, 2986, 2659, 3427, 10334, 16497, 454, 21132, 519, 13074, 8229, 538, 707, 1560, 543, 568, 1336, 1318, 3297, 1141, 596, 1745, 585, 707, 13942, 563, 3080, 540, 476, 1321, 22623, 658, 13285, 267, 713, 2706, 8229, 6238, 538, 519, 2634, 980, 543, 8255, 782, 519, 1259, 547, 707, 17737, 267, 5969, 998, 707, 2295, 267, 24647, 543, 707, 9641, 563, 15447, 333, 607, 22623, 658, 8229, 2473, 267, 519, 8229, 568, 851, 540, 707, 32246, 8401, 1062, 267, 519, 1062, 602, 1463, 338, 707, 17499, 1560, 2534, 267, 971, 607, 5329, 707, 2295, 2557, 7123, 543, 4180, 596, 7558, 1426, 5265, 269, 898, 6645, 519, 1560, 547, 12115, 3294, 267, 9247, 563, 763, 8229, 7575, 1472, 707, 1560, 11488, 856, 6263, 26939, 547, 707, 8219, 267, 971, 607, 707, 2295, 267, 9641, 267, 6797, 267, 18558, 267, 543, 24026, 269, 634, 13112, 639, 8229, 568, 9247, 9013, 707, 8934, 2096, 20627, 8401, 1062, 267, 3743, 585, 18398, 707, 1964, 543, 7558, 2238, 563, 3719, 519, 1034, 4277, 3364, 827, 519, 13112, 639, 8229, 568, 519, 1007, 1382, 602, 814, 7000, 922, 3095, 609, 8156, 5312, 6553, 267, 799, 666, 1291, 547, 1164, 1973, 2604, 267, 9667, 2152, 267, 543, 31264, 269, 19612, 607, 519, 7508, 3095, 267, 519, 8229, 949, 581, 2111, 547, 1521, 891, 2152, 1510, 6646, 256, 1261, 637, 875, 912, 309, 698, 531, 3159, 568, 519, 1852, 519, 13112, 639, 8229, 814, 936, 707, 2295, 2557, 269, 10765, 2090, 723, 7000, 602, 13112, 531, 3159, 568, 1271, 538, 1931, 547, 19334, 519, 8934, 2096, 20627, 8401, 1062, 563, 11947, 610, 1970, 888, 268, 17491, 6042, 454, 268, 25841, 1981, 540, 8482, 543, 9025, 2068, 454, 268, 13722, 1973, 2604, 454, 268, 13722, 4965, 454, 268, 10815, 2566, 543, 4160, 454, 15650, 2986, 17520, 10361, 2851, 454, 2710, 4701, 1810, 1406, 723, 513, 5094, 2012, 585, 513, 2566, 610, 4160, 15677, 269, 1809, 519, 1034, 1455, 2010, 540, 14331, 782, 723, 513, 3095, 547, 4160, 563, 307, 3290, 14331, 269, 20290, 3025, 4991, 835, 693, 930, 1448, 269, 1879, 596, 5873, 1004, 2161, 789, 723, 513, 15677, 267, 621, 779, 2356, 713, 2186, 269, 15380, 789, 2461, 711, 1932, 11213, 563, 307, 3290, 3085, 1406, 1611, 2566, 538, 713, 2013, 267, 855, 4016, 547, 875, 519, 15677, 7959, 267, 799, 949, 581, 899, 513, 9395, 6512, 1472, 707, 2212, 269, 898, 666, 581, 15427, 676, 4160, 267, 855, 621, 779, 711, 2312, 1946, 713, 4523, 563, 300, 580, 28152, 269, 1452, 616, 811, 4049, 14331, 602, 666, 2014, 11213, 11013, 532, 610, 31462, 25290, 269, 1358, 666, 2063, 585, 3108, 610, 1256, 2395, 269, 14755, 1928, 267, 31264, 666, 849, 1118, 596, 12154, 527, 543, 1745, 6213, 547, 1769, 543, 6846, 269, 1358, 2461, 1360, 1455, 538, 1004, 945, 723, 4160, 4713, 563, 5445, 2461, 1572, 12440, 14331, 1317, 540, 875, 789, 4755, 269, 1411, 1522, 1205, 873, 513, 1906, 2053, 513, 1554, 585, 513, 1906, 4374, 610, 3275, 267, 543, 1287, 789, 1175, 979, 2476, 269, 1358, 949, 711, 2097, 1394, 585, 3275, 610, 1296, 563, 10144, 609, 12440, 14331, 616, 811, 2693, 547, 723, 4160, 2443, 3335, 538, 519, 3275, 540, 29987, 1063, 536, 8083, 540, 14331, 269, 24930, 5749, 1406, 2386, 875, 12440, 14331, 543, 4160, 616, 4448, 610, 799, 835, 3123, 519, 824, 563, 9827, 6744, 281, 1548, 17832, 7970, 20353, 28152, 2060, 589, 3120, 454, 763, 25103, 9737, 20353, 9627, 1656, 12870, 10361, 2851, 454, 300, 580, 9627, 2550, 949, 7985, 689, 513, 1906, 610, 1082, 540, 891, 2589, 267, 855, 19591, 14331, 723, 1880, 4162, 538, 1455, 609, 26043, 269, 19452, 267, 26043, 14331, 616, 660, 15427, 676, 824, 2564, 2175, 267, 855, 676, 1082, 540, 519, 1482, 2152, 602, 9594, 4965, 267, 971, 607, 912, 268, 2422, 540, 4568, 454, 268, 31472, 547, 2242, 538, 519, 12405, 267, 2147, 547, 12119, 28146, 4524, 454, 268, 6184, 11211, 1964, 995, 3207, 454, 268, 11576, 6638, 547, 1769, 267, 30851, 543, 1978, 3536, 454, 2414, 13209, 513, 19591, 15677, 267, 922, 1271, 547, 4341, 856, 5214, 2168, 3123, 1644, 547, 519, 7633, 540, 519, 2212, 267, 8405, 543, 10265, 269, 4284, 5974, 849, 22991, 2638, 585, 1022, 1106, 540, 27295, 538, 519, 2634, 267, 607, 1134, 607, 10194, 610, 9190, 5563, 971, 607, 23971, 4345, 267, 29363, 4345, 610, 16415, 267, 782, 540, 799, 666, 2014, 15677, 1928, 563, 300, 580, 28152, 769, 6468, 2060, 7736, 2210, 686, 2670, 454, 300, 580, 9627, 568, 513, 4749, 5941, 1888, 593, 3733, 17484, 2210, 686, 2670, 5938, 600, 269, 2859, 982, 476, 278, 267, 1822, 2818, 593, 519, 3135, 1867, 14331, 563, 3080, 3733, 17484, 2210, 686, 2670, 5938, 600, 4759, 4080, 267, 594, 993, 23248, 10678, 513, 2185, 6377, 26043, 269, 1548, 536, 3530, 956, 803, 568, 602, 594, 2760, 2356, 1205, 31264, 1282, 1250, 1974, 563, 322, 1090, 6244, 782, 1554, 1279, 267, 2059, 609, 513, 26043, 269, 3733, 1394, 568, 849, 11318, 803, 267, 3838, 1776, 4759, 267, 11173, 267, 1955, 12517, 936, 519, 3586, 1928, 543, 3232, 31264, 563, 8139, 519, 2078, 1063, 1439, 334, 543, 31264, 568, 1271, 621, 949, 948, 24390, 519, 11411, 540, 2589, 538, 2021, 2713, 609, 1312, 2175, 563, 300, 580, 9627, 12580, 1656, 17832, 7970, 454, 763, 1034, 1455, 10835, 540, 26043, 568, 282, 628, 549, 25290, 15677, 1928, 267, 4810, 676, 476, 5952, 2600, 540, 2550, 269, 901, 568, 5702, 4553, 676, 8417, 547, 1769, 543, 3280, 267, 2242, 538, 5075, 543, 519, 4527, 540, 513, 3120, 267, 607, 1134, 607, 15353, 543, 13481, 269, 2755, 9039, 540, 891, 1367, 2589, 568, 2693, 547, 2014, 4965, 267, 922, 2653, 547, 1174, 5312, 26043, 24412, 945, 4308, 609, 1928, 476, 1428, 2395, 610, 829, 1142, 3923, 1223, 1020, 4965, 269, 14904, 945, 1995, 26043, 14331, 811, 1419, 3335, 723, 513, 2539, 2298, 540, 1272, 982, 1346, 945, 282, 21671, 1205, 17573, 14331, 269, 1809, 1018, 827, 519, 824, 1259, 1472, 286, 589, 476, 1220, 279, 5619, 5342, 676, 519, 2817, 10361, 5995, 7690, 4951, 602, 930, 2589, 540, 4965, 1223, 2965, 581, 12153, 585, 26043, 563, 1432, 1772, 634, 17583, 9737, 20353, 28152, 1656, 7736, 2210, 686, 2670, 454, 12867, 723, 4767, 602, 31264, 2671, 513, 1297, 540, 2589, 543, 1981, 2188, 609, 26707, 686, 2670, 269, 769, 1249, 267, 26707, 686, 2670, 814, 1044, 3254, 547, 581, 606, 4830, 1981, 3815, 585, 31264, 269, 769, 930, 2665, 267, 2705, 267, 2126, 585, 1439, 334, 814, 15427, 519, 12136, 540, 31264, 269, 6480, 4088, 543, 824, 17441, 5574, 723, 1044, 3254, 547, 9594, 31264, 543, 26043, 5829, 513, 3120, 269, 1717, 267, 972, 616, 1082, 1114, 2010, 540, 17441, 3797, 585, 26707, 686, 2670, 269, 3509, 267, 1519, 513, 1808, 1826, 540, 5711, 15333, 1061, 1161, 267, 1419, 798, 711, 2270, 21110, 269, 1358, 2270, 1152, 1322, 6856, 821, 269, 4475, 267, 789, 1131, 711, 9594, 26043, 563, 2791, 2904, 6145, 281, 4208, 6496, 15636, 2135, 6435, 20353, 28152, 454, 301, 527, 6233, 2052, 20531, 10361, 2851, 454, 301, 527, 6233, 616, 1634, 547, 2333, 21729, 617, 559, 520, 566, 267, 1775, 4318, 269, 8920, 520, 566, 540, 519, 1973, 8043, 269, 24391, 5627, 6491, 6233, 267, 899, 1973, 2604, 6527, 267, 616, 1634, 547, 3335, 2014, 4049, 14331, 543, 31264, 269, 2368, 13487, 11955, 267, 2523, 519, 3283, 1644, 547, 6491, 5766, 22318, 514, 267, 6491, 6233, 610, 1256, 513, 6491, 549, 15429, 585, 2587, 2088, 616, 930, 11955, 799, 666, 2014, 4049, 15677, 610, 26043, 563, 1432, 6496, 1323, 744, 4788, 20353, 9627, 18461, 6145, 454, 2304, 522, 4788, 26043, 5956, 609, 513, 31394, 543, 695, 20810, 532, 1858, 602, 814, 513, 795, 698, 3022, 8473, 543, 602, 7930, 19082, 21286, 269, 898, 3123, 513, 1507, 1025, 4193, 5544, 602, 14219, 1173, 525, 543, 7161, 707, 5075, 17303, 269, 634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 9211, 269, 634, 811, 6453, 267, 519, 811, 1699, 666, 2095, 454, 14483, 269, 634, 2549, 335, 630, 288, 264, 630, 296, 994, 14483, 568, 519, 10046, 267, 6829, 607, 589, 630, 528, 519, 4484, 594, 538, 12596, 264, 568, 9247, 875, 1082, 9211, 2095, 693, 2899, 269, 14271, 11345, 609, 519, 2095, 540, 1216, 538, 513, 21818, 1062, 269, 2060, 1447, 4187, 610, 811, 6453, 267, 513, 2362, 1699, 786, 2095, 563, 1607, 2898, 1576, 568, 1759, 593, 519, 7608, 6671, 2856, 602, 5201, 8928, 689, 2318, 547, 2942, 269, 1403, 596, 2811, 5461, 538, 519, 2257, 3297, 1018, 781, 2965, 8345, 1287, 3296, 476, 274, 2630, 949, 581, 540, 1719, 267, 15029, 621, 568, 711, 2838, 538, 1931, 547, 2347, 713, 1576, 267, 621, 786, 581, 3730, 952, 596, 616, 3257, 519, 1377, 476, 273, 1576, 538, 519, 2104, 563, 274, 269, 271, 5082, 1258, 2095, 5288, 1230, 14846, 2095, 454, 274, 269, 272, 5082, 1258, 2095, 563, 1103, 26423, 267, 971, 607, 7601, 5911, 267, 519, 7601, 8444, 616, 811, 982, 6126, 547, 1577, 835, 540, 741, 9018, 1034, 9211, 7914, 547, 519, 824, 8444, 1472, 621, 269, 634, 9211, 616, 2907, 538, 519, 10814, 267, 4478, 519, 7601, 8444, 22140, 267, 519, 20134, 12363, 540, 513, 6007, 3091, 513, 21045, 540, 9211, 267, 15029, 519, 2318, 12363, 814, 513, 17211, 269, 4813, 532, 513, 25801, 4276, 1063, 519, 1079, 2488, 606, 4316, 547, 2699, 816, 519, 3666, 267, 855, 519, 9211, 7237, 4187, 593, 519, 1259, 538, 519, 1106, 540, 960, 602, 1590, 581, 6192, 538, 1931, 585, 873, 547, 2347, 741, 818, 706, 748, 3460, 563, 16978, 6425, 2095, 689, 2942, 547, 2318, 267, 855, 713, 729, 1152, 4362, 1134, 1310, 5201, 729, 2322, 883, 4052, 946, 269, 13405, 547, 713, 972, 729, 606, 11234, 855, 1134, 3964, 1412, 935, 14846, 262, 1620, 602, 5201, 2095, 539, 689, 2318, 547, 2942, 267, 543, 713, 15007, 568, 1869, 538, 946, 563, 274, 269, 272, 1230, 14846, 7351, 563, 2171, 1869, 3136, 547, 713, 1554, 609, 519, 2025, 15007, 267, 649, 723, 547, 4952, 972, 781, 513, 1412, 3698, 7228, 540, 9211, 262, 607, 513, 1106, 540, 5279, 13576, 689, 2318, 547, 2942, 267, 543, 649, 1289, 713, 519, 1412, 3519, 14846, 7351, 262, 2095, 563, 288, 1434, 21658, 585, 713, 568, 547, 4952, 513, 3905, 5374, 7601, 11425, 17332, 538, 513, 19943, 540, 4672, 267, 649, 666, 4952, 602, 519, 4411, 8928, 909, 519, 11425, 267, 1256, 1498, 23963, 621, 781, 519, 3002, 13576, 689, 519, 11425, 547, 519, 4672, 563, 9961, 713, 1576, 649, 786, 3277, 547, 1699, 13576, 538, 519, 1412, 3519, 14846, 7351, 262, 1620, 689, 15474, 547, 20134, 563, 1692, 781, 621, 2469, 888, 28775, 596, 2811, 11981, 519, 1101, 3296, 540, 4425, 520, 1299, 962, 25638, 15379, 5426, 476, 272, 269, 5457, 594, 6415, 2141, 1934, 865, 952, 596, 991, 1022, 1489, 267, 3274, 946, 519, 8292, 4216, 2630, 267, 610, 4757, 803, 2047, 281, 1496, 16942, 6870, 316, 0, 394, 352, 10382, 16708, 10382, 14832, 16483, 10382, 394, 511, 14832, 10382, 21566, 21227, 14832, 15770, 395, 485, 394, 362, 6543, 485, 16708, 32703, 14832, 15403, 10382, 3852, 379, 16564, 15770, 17385, 19031, 32703, 19084, 26018, 14267, 21227, 3852, 355, 15770, 17385, 16483, 15403, 15512, 31149, 16575, 3852, 496, 15403, 15512, 16575, 29111, 14267, 21227, 14668, 11027, 14267, 16483, 15770, 16575, 15770, 29111, 3852, 511, 14832, 10382, 13179, 14267, 14832, 10382, 29857, 15403, 24681, 32703, 3852, 374, 10382, 15403, 14668, 14832, 10382, 11027, 32703, 17385, 11027, 10382, 17385, 16483, 14267, 3852, 374, 14267, 19031, 19031, 31149, 16483, 15403, 24818, 16708, 31149, 17385, 24341, 19084, 29339, 15403, 10382, 26018, 14267, 16061, 15403, 15512, 16575, 29111, 14267, 21566, 16483, 24341, 14832, 12631, 32703, 16575, 24341, 26018, 24341, 19084, 3852, 502, 15770, 17385, 17385, 10382, 16575, 14267, 14832, 29111, 24681, 24341, 19084, 12631, 14267, 21227, 13179, 15770, 26018, 24341, 18494, 15770, 15403, 16483, 14267, 21227, 16708, 24556, 29111, 10382, 26018, 14267, 21227, 14668, 14832, 16483, 15403, 24681, 10382, 16483, 14267, 11027, 16483, 16708, 29111, 394, 370, 15770, 15403, 26018, 24341, 14832, 14668, 14832, 15770, 11027, 10382, 14832, 31149, 16575, 24341, 11027, 16483, 24341, 14668, 21227, 16483, 394, 362, 21566, 395, 485, 394, 511, 17385, 24341, 12631, 14267, 21227, 3852, 511, 395, 485, 14267, 21227, 14832, 3852, 379, 15403, 31330, 11027, 15403, 17385, 24681, 394, 511, 11027, 16483, 15770, 19084, 3852, 374, 31149, 15184, 15770, 6543, 485, 16708, 32703, 14832, 14267, 13179, 15770, 14668, 21227, 16483, 32703, 31330, 14832, 6543, 490, 395, 486, 15770, 15403, 26018, 14267, 21227, 3852, 374, 10382, 16575, 14267, 24681, 10382, 15403, 16708, 15403, 14267, 395, 491, 563, 763, 1034, 4277, 22300, 4224, 12400, 454, 289, 327, 12494, 564, 6390, 13946, 24181, 538, 2549, 577, 3873, 10609, 6324, 267, 8496, 27256, 21423, 267, 3127, 454, 289, 327, 12494, 564, 6390, 4224, 24181, 616, 606, 18840, 1670, 3135, 538, 8496, 27256, 21423, 267, 3127, 267, 602, 21269, 519, 22300, 19232, 18070, 543, 12379, 18070, 5712, 267, 543, 849, 15225, 519, 9998, 10250, 540, 1480, 1272, 538, 3127, 269, 2368, 540, 519, 10367, 1934, 616, 689, 607, 2038, 607, 476, 279, 267, 1822, 14514, 269, 13225, 12494, 564, 6390, 2495, 834, 289, 29538, 781, 16889, 1747, 257, 610, 834, 289, 29538, 781, 561, 1735, 613, 2580, 568, 513, 7623, 2262, 1500, 540, 13225, 574, 630, 16149, 7015, 1851, 519, 2947, 5774, 822, 553, 540, 30652, 629, 9618, 1092, 264, 543, 13391, 603, 752, 630, 572, 520, 610, 561, 1735, 613, 1040, 4340, 547, 519, 5065, 3661, 267, 13225, 9874, 1282, 1010, 24815, 1031, 547, 1964, 1934, 547, 2170, 609, 519, 17137, 269, 13225, 574, 31990, 3279, 4224, 1148, 568, 2808, 519, 9510, 4620, 5766, 569, 874, 538, 519, 1158, 563, 30821, 5766, 569, 874, 545, 13216, 525, 540, 519, 27245, 1014, 16816, 2967, 454, 763, 3875, 4224, 1286, 19133, 543, 1187, 518, 776, 20375, 1336, 538, 891, 1614, 4609, 6813, 476, 1321, 267, 1822, 1296, 540, 2686, 1646, 543, 568, 606, 17170, 2594, 540, 519, 2528, 543, 5389, 540, 22300, 543, 2038, 8978, 2950, 30939, 519, 3148, 269, 634, 9998, 2592, 2992, 513, 942, 630, 1556, 267, 1822, 910, 476, 277, 267, 1822, 7460, 264, 950, 519, 1858, 729, 14356, 4104, 539, 543, 519, 14860, 3177, 513, 7226, 585, 21962, 540, 1804, 3014, 269, 13536, 2592, 1397, 519, 5912, 547, 1200, 3429, 607, 519, 8789, 1259, 540, 1272, 269, 634, 1034, 2487, 2592, 1397, 519, 5912, 547, 513, 7504, 17466, 9930, 19631, 6197, 1282, 519, 2038, 476, 272, 560, 26992, 7460, 267, 519, 590, 1097, 628, 1014, 1974, 543, 519, 2663, 12395, 545, 1974, 630, 278, 628, 543, 476, 279, 628, 5553, 5084, 1040, 16816, 2967, 4620, 5766, 569, 874, 23838, 616, 835, 17005, 2707, 540, 1344, 563, 294, 984, 755, 534, 9412, 3203, 8836, 23721, 454, 294, 984, 755, 534, 9412, 3203, 8836, 23721, 6227, 1614, 2127, 540, 513, 29415, 540, 22586, 536, 746, 619, 8375, 856, 540, 519, 10859, 17393, 1068, 540, 3844, 29494, 13568, 267, 609, 606, 14222, 4015, 540, 811, 982, 476, 277, 267, 1822, 4224, 1266, 9545, 902, 12946, 21981, 547, 476, 2412, 267, 1822, 1296, 540, 4224, 1148, 269, 634, 3135, 849, 2934, 519, 3788, 540, 20948, 23572, 267, 17260, 543, 3276, 10118, 267, 782, 10452, 606, 14021, 1480, 946, 676, 519, 11317, 540, 519, 1858, 1282, 519, 6632, 1974, 602, 4553, 519, 2063, 10979, 6520, 267, 689, 519, 16592, 19232, 18070, 547, 519, 5664, 12698, 269, 1280, 922, 2298, 543, 5860, 540, 4224, 1148, 1266, 9545, 902, 267, 717, 984, 755, 534, 729, 10294, 607, 513, 20648, 2622, 11595, 13505, 538, 476, 1220, 278, 563, 394, 353, 10382, 3852, 377, 394, 511, 10382, 26018, 24341, 19084, 31330, 15512, 29857, 14267, 19031, 31149, 29857, 10382, 19084, 454, 300, 5237, 28604, 5149, 10361, 910, 19150, 267, 11925, 267, 543, 2661, 7664, 267, 667, 7968, 11286, 16774, 5508, 595, 17109, 13543, 6730, 570, 21788, 26113, 454, 763, 28834, 781, 2817, 7467, 540, 7849, 3778, 786, 1930, 834, 5978, 23089, 281, 4045, 532, 4658, 543, 7186, 257, 11016, 267, 5147, 476, 272, 267, 513, 1007, 14266, 3695, 875, 9082, 262, 2833, 609, 2470, 8300, 873, 547, 1921, 267, 1416, 543, 957, 269, 834, 5978, 23089, 257, 3091, 8436, 513, 4960, 547, 2743, 6131, 3744, 543, 2146, 2818, 2324, 547, 2149, 6422, 1862, 0, 24171, 12722, 263, 4572, 276, 268, 1220, 274, 1070, 4937, 14199, 267, 5742, 540, 9442, 20709, 454, 306, 7867, 538, 476, 277, 23609, 454, 23873, 4123, 9769, 626, 1655, 15422, 607, 519, 4937, 14199, 540, 519, 5742, 540, 5403, 8433, 20709, 630, 331, 831, 26948, 519, 5742, 540, 9442, 20709, 1040, 1261, 3459, 2324, 585, 519, 4937, 5403, 8433, 607, 513, 751, 25393, 7911, 693, 519, 2085, 540, 27552, 269, 4438, 519, 2112, 646, 6170, 1614, 1296, 7674, 538, 519, 9576, 13108, 269, 16270, 1010, 2132, 646, 2968, 513, 2022, 2006, 267, 543, 2663, 513, 521, 7163, 267, 1282, 799, 942, 646, 2968, 3238, 538, 519, 12602, 540, 519, 5742, 540, 5403, 8433, 20709, 269, 1261, 2968, 513, 4759, 540, 922, 10324, 14643, 538, 476, 4198, 276, 543, 538, 476, 3422, 278, 646, 729, 11221, 4937, 14199, 267, 513, 1909, 646, 4371, 2394, 476, 2735, 273, 269, 769, 476, 3192, 272, 646, 3366, 476, 1220, 267, 1822, 2818, 883, 519, 1101, 3084, 2022, 531, 10880, 267, 9434, 17288, 5498, 1597, 2395, 563, 19400, 938, 1404, 4289, 3695, 3621, 2553, 1031, 676, 519, 20155, 547, 12260, 519, 11580, 3297, 938, 570, 31122, 23609, 563, 20428, 338, 543, 4798, 454, 15507, 519, 4015, 676, 4798, 910, 689, 10130, 547, 12311, 26204, 2336, 14937, 3778, 13600, 454, 12648, 513, 4663, 3695, 938, 14635, 2813, 676, 1325, 599, 334, 13019, 1074, 1872, 2041, 585, 4563, 3778, 13600, 538, 476, 1708, 271, 563, 288, 16514, 540, 2657, 454, 9596, 827, 23806, 538, 4915, 267, 1072, 543, 1514, 6963, 689, 476, 7277, 271, 547, 476, 4572, 271, 269, 0, 12441, 1411, 5700, 1703, 568, 2859, 20537, 2290, 7392, 540, 9605, 6987, 3907, 8718, 888, 16352, 513, 3595, 24773, 8718, 593, 1688, 538, 707, 1753, 666, 4688, 2729, 267, 855, 1256, 952, 596, 798, 723, 835, 267, 798, 596, 917, 875, 547, 946, 621, 286, 1879, 513, 3595, 568, 8781, 998, 707, 1753, 568, 711, 519, 942, 547, 1451, 875, 547, 946, 513, 3595, 24773, 8718, 269, 3371, 568, 1018, 596, 991, 547, 917, 827, 3595, 24773, 29913, 912, 2791, 4440, 723, 513, 3595, 24773, 8718, 538, 707, 1753, 267, 855, 798, 596, 917, 1018, 2186, 621, 568, 286, 1684, 596, 723, 519, 1318, 2186, 286, 1703, 616, 2947, 5049, 540, 3595, 24773, 29913, 543, 789, 1142, 2322, 856, 513, 1114, 1826, 540, 3595, 563, 763, 2947, 2010, 912, 268, 589, 281, 1452, 616, 1031, 593, 1919, 899, 12308, 267, 3574, 543, 1957, 543, 616, 1034, 4122, 538, 5321, 543, 4213, 563, 268, 645, 281, 901, 1362, 568, 1031, 593, 12318, 1043, 543, 1166, 30100, 15559, 899, 31294, 267, 3154, 543, 3282, 269, 1452, 616, 849, 1455, 538, 5321, 543, 4213, 563, 268, 595, 281, 15379, 3937, 971, 607, 14233, 543, 1907, 11642, 616, 1655, 2322, 856, 609, 513, 595, 3595, 24773, 8718, 269, 595, 1362, 568, 1455, 538, 5321, 543, 4213, 563, 268, 667, 281, 4147, 667, 568, 585, 946, 593, 1166, 30100, 8407, 543, 568, 1336, 538, 15327, 563, 268, 918, 281, 20497, 6539, 29353, 971, 607, 14060, 946, 918, 24773, 29913, 607, 789, 616, 1655, 1031, 593, 10448, 11041, 267, 3662, 11041, 543, 9600, 1031, 585, 5986, 563, 4407, 891, 616, 519, 1034, 1455, 2010, 540, 24773, 29913, 972, 616, 849, 6687, 17123, 3595, 24773, 29913, 602, 666, 581, 13042, 607, 968, 289, 4211, 892, 610, 968, 288, 5174, 4211, 1848, 4147, 589, 998, 595, 568, 4122, 5645, 693, 1753, 6454, 8637, 563, 2690, 811, 3595, 24773, 8718, 3106, 3643, 519, 674, 4932, 288, 3896, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9208, 306, 5632, 518, 454, 2018, 689, 533, 903, 335, 1046, 6230, 331, 1104, 26932, 5202, 692, 2018, 5721, 32470, 267, 4570, 32470, 267, 1449, 32470, 815, 7183, 267, 14085, 267, 14085, 454, 2018, 5721, 32470, 815, 5721, 6958, 9347, 454, 2018, 952, 4570, 6958, 9347, 912, 3546, 4570, 32470, 815, 4570, 6958, 9347, 454, 2018, 952, 1449, 6958, 9347, 912, 3546, 1449, 32470, 815, 1449, 6958, 9347, 692, 2018, 7011, 2401, 815, 21070, 2026, 5145, 2401, 18692, 3546, 3403, 8624, 338, 284, 3712, 8435, 2676, 3546, 3977, 8624, 6889, 10623, 2137, 5602, 2018, 9470, 518, 815, 9208, 306, 5632, 518, 9272, 8624, 284, 553, 5145, 2401, 10947, 20479, 8624, 263, 13211, 4449, 7386, 3977, 8624, 6889, 2675, 4705, 8722, 2137, 20350, 4449, 7386, 609, 1805, 323, 25716, 2676, 4449, 7386, 609, 13614, 18989, 994, 2018, 533, 8619, 815, 7193, 288, 17347, 284, 333, 318, 4818, 267, 3403, 8624, 284, 2675, 29993, 10947, 20479, 8624, 19572, 3977, 8624, 6889, 335, 8619, 8722, 2137, 5602, 2018, 18180, 815, 26932, 5202, 263, 560, 1137, 17342, 553, 5145, 2401, 267, 2675, 29993, 267, 533, 8619, 20285, 2018, 1948, 3698, 710, 513, 1599, 585, 25935, 533, 8619, 6152, 6241, 883, 741, 1378, 9587, 454, 2018, 1219, 1349, 318, 27523, 21405, 2187, 3546, 8173, 3546, 570, 1389, 513, 6152, 543, 21555, 621, 883, 1082, 9587, 689, 519, 6152, 563, 3546, 533, 8619, 8722, 2137, 568, 519, 6152, 1373, 13939, 538, 713, 1599, 563, 3546, 21070, 2418, 786, 581, 3957, 476, 9041, 273, 267, 9041, 274, 267, 4429, 3546, 8173, 3546, 1948, 24042, 3287, 585, 1535, 538, 4737, 952, 1535, 711, 538, 18358, 335, 8619, 8722, 2137, 262, 8079, 32504, 3546, 2132, 24042, 263, 15615, 3287, 264, 585, 1535, 538, 4737, 4877, 8619, 8722, 2137, 269, 11161, 2020, 2018, 1948, 3698, 710, 513, 1599, 585, 25935, 533, 8619, 6152, 6241, 883, 741, 1378, 9587, 454, 2018, 1219, 1349, 318, 27523, 318, 5976, 16182, 22674, 21405, 2187, 3546, 8173, 3546, 570, 1389, 513, 6152, 543, 21555, 621, 883, 1082, 9587, 689, 519, 6152, 563, 3546, 533, 8619, 8722, 2137, 568, 519, 6152, 1373, 13939, 538, 713, 1599, 563, 3546, 21070, 2418, 786, 581, 3957, 476, 9041, 273, 267, 9041, 274, 267, 4429, 3546, 8173, 3546, 1948, 24042, 3287, 585, 1535, 538, 4737, 952, 1535, 711, 538, 18358, 335, 8619, 8722, 2137, 262, 8079, 32504, 3546, 2132, 630, 992, 314, 573, 22674, 3910, 11924, 14654, 921, 263, 15615, 3287, 264, 585, 1535, 538, 4737, 4877, 8619, 8722, 2137, 269, 11161, 2020, 2018, 1219, 556, 4067, 22674, 8435, 16597, 18134, 267, 2908, 318, 2181, 25785, 8782, 335, 8619, 318, 3299, 1245, 22674, 558, 333, 318, 11034, 532, 16229, 284, 273, 267, 2908, 22674, 4379, 318, 11034, 532, 16229, 284, 272, 2187, 3546, 8173, 3546, 570, 1389, 513, 8141, 17093, 543, 556, 12849, 782, 9587, 547, 1945, 899, 533, 8619, 318, 272, 454, 3546, 689, 519, 5892, 3957, 9587, 563, 3546, 8173, 3546, 2025, 22674, 4379, 16229, 815, 2025, 22674, 558, 333, 318, 11034, 532, 16229, 454, 3546, 1007, 22674, 4379, 16229, 815, 1007, 22674, 4379, 318, 11034, 532, 16229, 454, 3546, 585, 1775, 538, 2039, 263, 271, 19885, 318, 4818, 2187, 7386, 952, 6241, 12173, 912, 13376, 1239, 18134, 815, 1239, 18134, 269, 5976, 8624, 4379, 30262, 3139, 3488, 318, 262, 266, 1598, 263, 1245, 22674, 558, 333, 318, 11034, 532, 16229, 1070, 26383, 12173, 22065, 318, 262, 266, 2908, 318, 2181, 25785, 266, 1598, 28956, 22674, 4379, 318, 11034, 532, 16229, 4917, 7386, 3116, 912, 13376, 1239, 18134, 815, 1239, 18134, 269, 5976, 8624, 4379, 30262, 3139, 3488, 318, 262, 266, 1598, 263, 1245, 22674, 558, 333, 318, 11034, 532, 16229, 1070, 2908, 318, 2181, 25785, 266, 1598, 28956, 22674, 4379, 318, 11034, 532, 16229, 4917, 7386, 2025, 22674, 558, 333, 318, 11034, 532, 16229, 23785, 272, 454, 7386, 1007, 22674, 4379, 318, 11034, 532, 16229, 23785, 272, 454, 3546, 2132, 1239, 18134, 692, 2018, 1948, 2710, 7193, 288, 17464, 4146, 585, 2866, 1239, 454, 2018, 2203, 17601, 815, 18180, 32265, 6025, 1778, 6958, 9347, 994, 2018, 1267, 17601, 815, 2203, 17601, 6745, 4920, 845, 6025, 1778, 6958, 9347, 994, 2018, 13939, 7272, 8619, 17601, 815, 1267, 17601, 269, 6113, 323, 6230, 777, 263, 2169, 847, 318, 27523, 318, 5976, 16182, 22674, 1040, 1729, 5263, 8443, 573, 22674, 7481, 2018, 13939, 7272, 8619, 17601, 815, 556, 4067, 22674, 8435, 263, 2169, 26167, 7272, 8619, 17601, 2020, 2018, 1948, 2710, 7193, 288, 17464, 4146, 585, 15418, 1239, 952, 621, 729, 2016, 454, 2018, 13939, 7272, 8619, 318, 20777, 815, 7183, 454, 2018, 2203, 318, 20777, 815, 7183, 1948, 12663, 991, 713, 547, 3514, 1449, 952, 621, 3085, 1405, 723, 586, 2418, 454, 2018, 952, 4570, 6958, 9347, 912, 3546, 2203, 318, 20777, 815, 18180, 32265, 263, 20777, 6958, 9347, 994, 3546, 1267, 318, 20777, 815, 2203, 17601, 6745, 4920, 845, 263, 20777, 6958, 9347, 994, 3546, 13939, 7272, 8619, 318, 20777, 815, 1267, 318, 20777, 269, 6113, 323, 6230, 777, 263, 2169, 847, 318, 27523, 318, 5976, 16182, 22674, 1040, 1729, 5263, 8443, 573, 22674, 7481, 3546, 13939, 7272, 8619, 318, 20777, 815, 556, 4067, 22674, 8435, 263, 2169, 26167, 7272, 8619, 318, 20777, 2020, 2018, 1948, 2710, 7193, 288, 17464, 4146, 585, 1449, 1239, 952, 621, 729, 2016, 454, 2018, 13939, 7272, 8619, 15305, 815, 7183, 454, 2018, 952, 1449, 6958, 9347, 912, 3546, 2203, 15305, 815, 18180, 32265, 6025, 652, 6958, 9347, 994, 3546, 1267, 15305, 815, 2203, 15305, 6745, 4920, 845, 6025, 652, 6958, 9347, 994, 3546, 13939, 7272, 8619, 15305, 815, 1267, 15305, 269, 6113, 323, 6230, 777, 263, 2169, 847, 318, 27523, 318, 5976, 16182, 22674, 1040, 1729, 5263, 8443, 573, 22674, 7481, 3546, 13939, 7272, 8619, 15305, 815, 556, 4067, 22674, 8435, 263, 2169, 26167, 7272, 8619, 15305, 994, 2018, 12693, 454, 2018, 12693, 590, 13748, 12693, 454, 2018, 12693, 454, 2018, 1948, 4179, 2517, 23637, 1478, 6503, 2593, 270, 638, 5465, 270, 31172, 26326, 8660, 9706, 903, 335, 1046, 7146, 1790, 8619, 24376, 2275, 534, 25829, 268, 2169, 847, 7308, 3887, 3394, 27523, 6361, 6253, 529, 1790, 8619, 24376, 2275, 534, 25829, 23343, 30501, 270, 28178, 23669, 6860, 258, 28178, 23669, 6860, 454, 2018, 1948, 4179, 2517, 326, 603, 889, 2593, 270, 777, 5995, 4882, 335, 1046, 270, 4565, 984, 8276, 2120, 270, 1410, 3263, 4882, 21683, 8276, 664, 270, 7090, 8276, 961, 756, 4882, 341, 323, 318, 9987, 18258, 454, 2018, 1948, 4179, 2517, 24108, 269, 3256, 514, 617, 7614, 629, 2593, 9706, 8619, 6823, 268, 854, 2000, 1618, 16250, 1755, 574, 1645, 1673, 21648, 1115, 268, 6748, 1790, 903, 335, 1046, 13045, 2018, 689, 533, 903, 335, 1046, 6230, 961, 756, 7456, 1400, 326, 6155, 626, 30744, 1104, 18007, 30467, 454, 2018, 689, 533, 903, 335, 1046, 6230, 961, 756, 7456, 1400, 326, 6155, 626, 30744, 1104, 12039, 539, 305, 578, 267, 12039, 539, 305, 578, 30467, 454, 2018, 689, 533, 903, 335, 1046, 6230, 961, 756, 7456, 1400, 326, 1104, 667, 1619, 309, 10725, 692, 2018, 1219, 1349, 5334, 341, 323, 318, 27523, 318, 5976, 16182, 22674, 21405, 2187, 3546, 8173, 3546, 570, 1389, 513, 6152, 543, 21555, 621, 883, 1082, 9587, 689, 519, 6152, 563, 3546, 533, 8619, 8722, 2137, 568, 519, 6152, 1373, 13939, 538, 713, 1599, 563, 3546, 21070, 2418, 786, 581, 3957, 476, 9041, 273, 267, 9041, 274, 267, 4429, 3546, 8173, 3546, 1948, 24042, 3287, 585, 1535, 538, 4737, 952, 1535, 711, 538, 18358, 335, 8619, 8722, 2137, 262, 8079, 32504, 3546, 2132, 630, 992, 314, 573, 22674, 3910, 11924, 14654, 921, 263, 15615, 3287, 264, 585, 1535, 538, 4737, 4732, 341, 323, 8722, 2137, 269, 11161, 2020, 2018, 952, 1412, 306, 13748, 262, 538, 10920, 21752, 15461, 318, 14725, 912, 3546, 1948, 307, 1778, 1101, 454, 3546, 1319, 815, 12039, 539, 305, 578, 30467, 31114, 17601, 269, 6113, 323, 6230, 777, 10857, 10033, 4737, 281, 12039, 539, 305, 578, 21405, 314, 573, 22674, 3910, 291, 1619, 309, 10725, 21405, 9131, 335, 8619, 8722, 2137, 11172, 4297, 4917, 3546, 521, 341, 323, 815, 1319, 2593, 335, 1393, 306, 13748, 3799, 318, 4818, 267, 12337, 308, 18989, 994, 3546, 772, 815, 521, 341, 323, 269, 308, 11434, 1948, 634, 772, 3815, 568, 513, 18007, 30467, 563, 3546, 521, 815, 521, 341, 323, 4732, 11434, 1948, 634, 13737, 2418, 616, 6740, 538, 513, 2199, 10053, 6152, 563, 3546, 966, 815, 521, 341, 323, 17679, 454, 3546, 1948, 7179, 10321, 585, 4152, 454, 258, 4449, 6394, 815, 772, 269, 4900, 31815, 937, 4590, 258, 4449, 1820, 2891, 308, 3815, 568, 281, 5602, 258, 4449, 585, 6152, 538, 6394, 912, 258, 4449, 672, 1820, 263, 19066, 994, 258, 4449, 1820, 2891, 306, 532, 983, 2418, 616, 281, 4939, 338, 257, 4939, 521, 994, 258, 4449, 1820, 2891, 309, 3815, 568, 24097, 333, 260, 338, 257, 4939, 966, 994, 3546, 13939, 5334, 341, 323, 17601, 815, 772, 269, 4900, 6230, 777, 10857, 10033, 1535, 281, 630, 343, 267, 3738, 1040, 1729, 5263, 14061, 6113, 323, 6230, 777, 10857, 10033, 1535, 281, 630, 343, 9131, 318, 272, 262, 6012, 271, 3910, 343, 9131, 318, 272, 262, 6012, 272, 316, 3738, 1040, 1729, 5263, 8443, 573, 22674, 10086, 12364, 323, 8722, 2137, 11172, 1040, 6113, 323, 6230, 777, 263, 2169, 847, 5334, 341, 323, 318, 27523, 318, 5976, 16182, 22674, 1040, 1729, 5263, 8443, 573, 22674, 7481, 3546, 13939, 5334, 341, 323, 17601, 815, 556, 4067, 22674, 8435, 263, 2169, 26167, 5334, 341, 323, 17601, 267, 2908, 318, 2181, 25785, 8782, 12364, 323, 318, 5073, 3546, 952, 4570, 6958, 9347, 912, 7386, 1319, 815, 12039, 539, 305, 578, 30467, 31114, 318, 20777, 269, 6113, 323, 6230, 777, 10857, 10033, 4737, 281, 12039, 539, 305, 578, 21405, 314, 573, 22674, 3910, 291, 1619, 309, 10725, 21405, 9131, 335, 8619, 8722, 2137, 11172, 4297, 4917, 7386, 521, 341, 323, 815, 1319, 2593, 335, 1393, 306, 13748, 3799, 318, 4818, 267, 12337, 308, 18989, 994, 7386, 772, 815, 521, 341, 323, 269, 308, 11434, 1948, 634, 772, 3815, 568, 513, 18007, 30467, 563, 7386, 521, 815, 521, 341, 323, 4732, 11434, 1948, 634, 13737, 2418, 616, 6740, 538, 513, 2199, 10053, 6152, 563, 7386, 966, 815, 521, 341, 323, 17679, 11434, 1948, 634, 966, 3815, 568, 513, 2199, 10053, 5119, 563, 7386, 13939, 5334, 341, 323, 318, 20777, 815, 772, 269, 4900, 6230, 777, 10857, 10033, 1535, 281, 630, 343, 267, 3738, 1040, 1729, 5263, 14061, 6113, 323, 6230, 777, 10857, 10033, 1535, 281, 630, 343, 9131, 318, 272, 262, 6012, 271, 3910, 343, 9131, 318, 272, 262, 6012, 272, 316, 3738, 1040, 1729, 5263, 8443, 573, 22674, 10086, 12364, 323, 8722, 2137, 11172, 1040, 6113, 323, 6230, 777, 263, 2169, 847, 5334, 341, 323, 318, 27523, 318, 5976, 16182, 22674, 1040, 1729, 5263, 8443, 573, 22674, 7481, 7386, 13939, 5334, 341, 323, 318, 20777, 815, 556, 4067, 22674, 8435, 263, 2169, 26167, 5334, 341, 323, 318, 20777, 267, 2908, 318, 2181, 25785, 8782, 12364, 323, 318, 5073, 3546, 952, 1449, 6958, 9347, 912, 7386, 1319, 815, 12039, 539, 305, 578, 30467, 31114, 318, 20777, 269, 6113, 323, 6230, 777, 10857, 10033, 4737, 281, 12039, 539, 305, 578, 21405, 314, 573, 22674, 3910, 291, 1619, 309, 10725, 21405, 9131, 335, 8619, 8722, 2137, 11172, 4297, 4917, 7386, 521, 341, 323, 815, 1319, 2593, 335, 1393, 306, 13748, 3799, 318, 4818, 267, 12337, 308, 18989, 994, 7386, 772, 815, 521, 341, 323, 269, 308, 11434, 1948, 634, 772, 3815, 568, 513, 18007, 30467, 563, 7386, 521, 815, 521, 341, 323, 4732, 11434, 1948, 634, 13737, 2418, 616, 6740, 538, 513, 2199, 10053, 6152, 563, 7386, 966, 815, 521, 341, 323, 17679, 11434, 1948, 634, 966, 3815, 568, 513, 2199, 10053, 5119, 563, 7386, 13939, 5334, 341, 323, 15305, 815, 772, 269, 4900, 6230, 777, 10857, 10033, 1535, 281, 630, 343, 267, 3738, 1040, 1729, 5263, 14061, 6113, 323, 6230, 777, 10857, 10033, 1535, 281, 630, 343, 9131, 318, 272, 262, 6012, 271, 3910, 343, 9131, 318, 272, 262, 6012, 272, 316, 3738, 1040, 1729, 5263, 8443, 573, 22674, 10086, 12364, 323, 8722, 2137, 11172, 1040, 6113, 323, 6230, 777, 263, 2169, 847, 5334, 341, 323, 318, 27523, 318, 5976, 16182, 22674, 1040, 1729, 5263, 8443, 573, 22674, 7481, 7386, 13939, 5334, 341, 323, 15305, 815, 556, 4067, 22674, 8435, 263, 2169, 26167, 5334, 341, 323, 15305, 267, 2908, 318, 2181, 25785, 8782, 12364 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4892, 3717, 2296, 543, 23671, 946, 1312, 2296, 543, 3943, 267, 1034, 2836, 323, 2103, 5968, 1210, 717, 3873, 650, 880, 269, 5213, 1405, 5855, 282, 596, 1810, 1405, 991, 547, 1451, 513, 1007, 1893, 1318, 1631, 256, 1284, 666, 1869, 5660, 741, 5065, 11469, 1247, 1565, 827, 2836, 29953, 538, 938, 1378, 1893, 780, 1262, 4089, 476, 274, 281, 6554, 1299, 15557, 4373, 2710, 596, 2661, 538, 513, 1533, 1141, 707, 3237, 8917, 585, 3401, 945, 1711, 3652, 543, 4031, 286, 2107, 5310, 596, 21078, 538, 513, 3148, 18170, 676, 1175, 835, 1268, 6074, 676, 1866, 286, 21452, 267, 2836, 29953, 5205, 1018, 568, 1634, 607, 513, 1412, 684, 3202, 25931, 13338, 21257, 9538, 1548, 1281, 602, 1611, 2496, 265, 2878, 4462, 3202, 5093, 1703, 568, 1152, 835, 1292, 12044, 1560, 3743, 585, 1818, 3664, 2429, 519, 3003, 2197, 563, 265, 2878, 13640, 8365, 776, 5093, 22893, 1528, 13222, 547, 1106, 513, 1895, 1572, 12057, 267, 7234, 2152, 543, 3981, 532, 1007, 4031, 563, 265, 2878, 17746, 6627, 3933, 8944, 5093, 2755, 12057, 2306, 519, 3652, 267, 513, 10424, 1920, 5713, 607, 2212, 540, 1533, 609, 3908, 7060, 269, 1280, 1383, 267, 853, 1470, 325, 17505, 5839, 2672, 756, 327, 928, 568, 4867, 519, 3751, 540, 2836, 29953, 2439, 5331, 2348, 513, 7874, 8378, 14643, 5870, 1862, 855, 3079, 540, 14045, 2436, 547, 1628, 513, 1007, 6288, 610, 4368, 533, 1054, 3421, 267, 891, 2043, 1865, 6927, 7282, 6634, 540, 1004, 2066, 2789, 10195, 2439, 1262, 4089, 476, 275, 281, 8342, 12700, 6168, 2836, 29953, 4373, 4131, 781, 16833, 909, 938, 3460, 998, 2836, 29953, 676, 12423, 930, 3579, 31851, 2439, 265, 9351, 281, 2060, 5111, 476, 19442, 267, 271, 3066, 4009, 12919, 630, 12671, 476, 5952, 267, 278, 2918, 4009, 5195, 1070, 2836, 29953, 949, 1413, 6263, 3379, 547, 6576, 610, 4516, 269, 1717, 267, 621, 781, 3592, 3368, 519, 2450, 540, 7147, 2336, 265, 15510, 25670, 281, 6736, 8720, 3833, 513, 1804, 1858, 267, 7864, 982, 476, 5655, 1004, 2661, 829, 4009, 9481, 518, 269, 14424, 602, 547, 3127, 267, 1141, 936, 476, 6110, 1004, 9468, 1169, 4009, 9481, 518, 2336, 265, 4354, 6275, 281, 5502, 540, 9489, 610, 6550, 267, 2836, 323, 2103, 946, 21482, 657, 630, 292, 10813, 1040, 6056, 827, 9683, 14693, 543, 27300, 707, 2724, 585, 10477, 2836, 323, 1014, 11113, 2336, 265, 4165, 515, 916, 281, 5272, 10583, 4182, 814, 693, 2547, 835, 5152, 602, 4564, 873, 269, 2836, 29953, 19646, 1079, 1107, 834, 294, 5055, 5255, 606, 3794, 320, 6403, 974, 2335, 2437, 5129, 1282, 6101, 2621, 267, 543, 834, 300, 5451, 597, 572, 5451, 559, 606, 681, 6403, 2437, 11603, 4481, 585, 10424, 14026, 780, 4517, 972, 596, 723, 621, 1107, 513, 627, 20071, 13388, 4663, 540, 2836, 29953, 256, 9282, 2484, 2476, 267, 1620, 1114, 4529, 2337, 721, 1831, 1732, 2518, 4961, 269, 1924, 1985, 942, 596, 5873, 827, 713, 10578, 6532, 10806, 267, 3314, 782, 519, 4277, 1919, 596, 4121, 1934, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21914, 3256, 540, 2836, 29953, 454, 305, 6403, 5255, 339, 14255, 3794, 320, 6403, 974, 2335, 454, 300, 582, 1729, 281, 834, 6635, 5067, 606, 678, 6403, 989, 639, 1094, 7546, 572, 4840, 257, 2690, 3751, 543, 23068, 4840, 12901, 1335, 281, 834, 294, 5055, 5255, 606, 3794, 320, 6403, 974, 2335, 4840, 305, 5819, 1884, 1335, 281, 631, 5451, 597, 572, 5451, 559, 606, 681, 6403, 454, 10454, 3751, 781, 4728, 4840, 663, 4102, 2749, 454, 347, 20685, 5371, 2516, 1475, 7224, 4013, 7194, 2008, 347, 20779, 7716, 4433, 10534, 9773, 323, 880, 5788, 2836, 323, 1014, 2008, 347, 30025, 1475, 4462, 3202, 25931, 13338, 21257, 2008, 347, 1805, 1470, 325, 17505, 5839, 2672, 756, 327, 928, 2008, 1892, 589, 19618, 717, 3873, 650, 880, 10806, 3964, 454, 1892, 8003, 540, 2836, 29953, 3964, 454, 1892, 11835, 1441, 519, 10566, 454, 347, 272, 5130, 476, 4198, 276, 2008, 347, 19442, 267, 271, 3066, 5998, 273, 630, 5952, 267, 278, 2918, 13483, 11465, 10245, 1892, 476, 1001, 280, 7447, 454, 1892, 476, 1001, 274, 14829, 454, 347, 6078, 269, 7597, 270, 14790, 273, 630, 10482, 269, 271, 4882, 336, 11465, 10245, 347, 294, 7894, 630, 13048, 303, 10534, 1001, 274, 7447, 2008, 1892, 3131, 21027, 454, 347, 294, 7894, 630, 333, 558, 1400, 10534, 1001, 274, 7447, 2008, 1892, 3131, 21027, 454, 347, 294, 7236, 630, 1001, 279, 10534, 476, 3066, 269, 278, 2008, 347, 8461, 296, 630, 1001, 279, 10534, 476, 271, 269, 4817, 275, 2008, 347, 10501, 6275, 1475, 292, 16090, 334, 630, 292, 10813, 630, 11366, 4297, 2008, 347, 11742, 7997, 1475, 292, 1075, 14211, 9208, 5384, 2008, 9773, 29953, 630, 294, 3873, 650, 880, 281, 3794, 320, 6403, 974, 2335, 1070, 13166, 519, 8003, 540, 2836, 29953, 630, 294, 3873, 650, 880, 281, 681, 6403, 5255, 339, 14255, 3794, 320, 6403, 974, 2335, 1070, 568, 513, 19988, 4182, 4092, 538, 8832, 661, 16197, 320, 269, 898, 568, 4625, 11303, 676, 1216, 267, 1500, 909, 676, 519, 2836, 323, 880, 1772, 956, 269, 2836, 29953, 814, 606, 6059, 476, 280, 269, 279, 2929, 11317, 269, 1230, 2425, 324, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 278, 281, 5917, 20814, 585, 10960, 7126, 692, 5970, 596, 2479, 5433, 6612, 2299, 827, 1945, 543, 4941, 547, 3717, 909, 585, 1346, 945, 7948, 1405, 286, 2334, 781, 1018, 14223, 568, 782, 827, 256, 1879, 649, 946, 938, 9739, 547, 948, 2831, 267, 649, 1831, 3662, 15156, 269, 1809, 1018, 1281, 621, 1611, 547, 581, 606, 3662, 12167, 267, 543, 1946, 568, 621, 865, 7294, 286, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 5331, 7555, 909, 1996, 10122, 3552, 2831, 899, 29372, 610, 1256, 7314, 2713, 593, 11396, 1572, 834, 295, 650, 326, 17311, 1701, 1452, 2238, 1522, 3100, 16970, 547, 721, 2221, 267, 855, 972, 729, 513, 942, 950, 789, 941, 3656, 543, 4922, 7608, 269, 9861, 606, 3662, 12167, 1282, 971, 2053, 5921, 2469, 1996, 2442, 6644, 267, 8165, 585, 1689, 5103, 2591, 780, 3086, 1577, 781, 2911, 827, 5322, 1107, 1804, 2516, 540, 1004, 4947, 1927, 547, 3142, 827, 1514, 1689, 269, 5565, 1713, 8090, 3366, 547, 519, 2208, 540, 2413, 3662, 2924, 5322, 269, 3689, 267, 14544, 8751, 3204, 534, 5189, 519, 2856, 540, 3662, 2924, 538, 519, 476, 2735, 271, 338, 269, 1261, 5156, 602, 1175, 607, 3425, 723, 1978, 7915, 2924, 267, 865, 798, 2831, 269, 1717, 267, 2462, 14078, 609, 4690, 538, 1210, 2831, 585, 1585, 5301, 7307, 547, 31083, 20760, 1010, 5048, 267, 1818, 621, 1447, 2500, 780, 30952, 267, 538, 519, 2038, 1412, 3445, 338, 267, 1776, 1589, 518, 3957, 27722, 8071, 7748, 6836, 547, 556, 11779, 548, 519, 6643, 1472, 3662, 2924, 998, 1010, 12591, 269, 10251, 267, 646, 1932, 5185, 4187, 689, 3532, 5515, 1369, 519, 772, 2529, 269, 3662, 3350, 269, 30586, 267, 609, 519, 4417, 540, 519, 5769, 267, 891, 6835, 1223, 3914, 811, 1004, 267, 3850, 741, 1764, 547, 1332, 6793, 936, 942, 780, 3719, 7227, 910, 1018, 4010, 616, 834, 534, 2711, 2924, 8119, 4270, 267, 3274, 2322, 267, 621, 781, 519, 3661, 602, 2831, 17330, 2147, 9270, 543, 20038, 607, 1480, 7919, 1813, 547, 741, 2702, 547, 1745, 1928, 543, 7985, 269, 9521, 3662, 10304, 267, 799, 6212, 593, 5355, 2175, 585, 2831, 1247, 1869, 28498, 741, 946, 267, 3662, 2924, 11394, 2347, 5191, 689, 14226, 780, 6826, 5765, 606, 3662, 12167, 3322, 1620, 891, 1950, 2152, 543, 14045, 1141, 596, 1796, 269, 1411, 949, 3442, 547, 1489, 3906, 2324, 2509, 1732, 2126, 540, 3484, 2831, 267, 7320, 5726, 267, 610, 4550, 2275, 745, 601, 1399, 7341, 269, 2107, 6148, 596, 3513, 1711, 707, 1378, 1788, 267, 899, 12180, 513, 21936, 610, 18997, 1866, 827, 1480, 324, 5079, 780, 8855, 267, 1169, 5639, 6927, 267, 2523, 950, 6340, 909, 585, 1346, 945, 3112, 3717, 585, 2933, 269, 1924, 979, 6619, 267, 2263, 267, 1451, 267, 543, 3605, 875, 9358, 666, 3565, 547, 2870, 513, 2186, 518, 1158, 585, 782, 7068, 2439, 14945, 289, 9560, 2762, 1384, 272, 269, 24305, 514, 267, 645, 269, 661, 269, 630, 1960, 276, 1040, 10960, 2924, 543, 1480, 13919, 269, 22219, 3163, 1299, 6355, 9012, 563, 273, 269, 590, 5424, 267, 623, 269, 630, 1220, 273, 1040, 10960, 19802, 281, 589, 1007, 7881, 585, 938, 2126, 540, 2831, 269, 22489, 623, 15959, 658, 563, 274, 269, 654, 1066, 333, 267, 595, 269, 700, 269, 630, 1001, 277, 1040, 589, 2513, 819, 626, 4485, 547, 3662, 2924, 269, 18007, 2006, 1299, 9741, 7615, 23255, 563, 275, 269, 8071, 7748, 267, 717, 269, 700, 269, 630, 1220, 279, 1040, 12292, 607, 7606, 281, 10749, 593, 519, 20552, 540, 3662, 14226, 269, 12052, 2160, 4964, 780, 17484, 17084, 1384, 272, 269, 23654, 530, 1409, 541, 1143, 4016, 547, 3549, 12561, 4507, 602, 2087, 3662, 10304, 1152, 547, 4300, 848, 13915, 610, 2226, 1857, 3239, 2864, 982, 22992, 12391, 585, 2831, 262, 8171, 563, 273, 269, 10960, 2924, 5322, 2832, 547, 3715, 5837, 543, 3656, 2924, 585, 1875, 16058, 2831, 267, 9301, 873, 607, 2366, 1304, 7919, 964, 6326, 2463, 543, 4027, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 1507, 8397, 7634, 540, 519, 3703, 3662, 3350, 693, 519, 1439, 540, 519, 476, 736, 628, 2540, 729, 2854, 1354, 519, 6968, 834, 321, 753, 257, 538, 4789, 267, 10430, 543, 12986, 267, 950, 10830, 326, 17311, 3032, 9960, 834, 325, 1301, 257, 729, 1869, 5665, 267, 543, 1354, 519, 15562, 3722, 5859, 2968, 519, 1445, 540, 1082, 3703, 29065, 5859, 619, 262, 3007, 269, 898, 729, 849, 1354, 519, 4332, 540, 519, 3662, 2924, 3350, 630, 1220, 277, 264, 799, 4553, 1079, 7301, 6238, 269, 634, 1101, 538, 519, 476, 2735, 271, 338, 950, 8751, 3204, 534, 4843, 1010, 2013, 585, 3662, 2924, 269, 3571, 3646, 941, 3927, 6120, 1229, 676, 9746, 530, 1409, 541, 1143, 269, 634, 2034, 267, 538, 519, 2038, 547, 4571, 268, 1960, 271, 338, 267, 950, 27722, 8071, 7748, 781, 2835, 3459, 547, 2408, 269, 3571, 3646, 941, 3623, 10642, 849, 676, 519, 1379, 16918, 538, 519, 2475, 3662, 3350, 269, 634, 11944, 543, 3262, 540, 519, 4950, 1797, 602, 666, 1100, 3476, 4755, 269, 901, 2272, 814, 1044, 15428, 5594, 538, 476, 1220, 279, 563, 296, 2709, 621, 1631, 1317, 621, 3081, 1271, 1919, 827, 519, 10848, 543, 32475, 540, 1373, 606, 3662, 12167, 563, 265, 31639, 2630, 454, 1262, 7736, 17084, 2630, 454, 30995, 29034, 334, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1950, 1158, 540, 31848, 2984, 267, 4481, 1346, 5473, 4638, 6057, 267, 1369, 519, 2796, 540, 1762, 2937, 15923, 269, 3776, 1445, 786, 581, 593, 1620, 519, 5626, 267, 1514, 267, 543, 2686, 2188, 602, 3310, 891, 2833, 543, 519, 2081, 538, 799, 15000, 6330, 741, 7067, 15322, 269, 1284, 786, 2263, 1585, 6386, 267, 1519, 29946, 267, 32026, 267, 543, 27143, 267, 602, 8774, 1769, 593, 519, 5030, 2833, 540, 15000, 543, 1683, 4030, 883, 519, 6384, 540, 1379, 267, 12879, 267, 6043, 267, 543, 2208, 269, 3414, 2565, 2079, 543, 4901, 267, 649, 2832, 547, 6536, 6568, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 968, 9857, 8736, 9085, 3034, 17951, 331, 1170, 267, 8861, 269, 15328, 6193, 4260, 7958, 281, 589, 10670, 1676, 779, 6651, 547, 6611, 543, 5384, 13488, 269, 476, 1960, 279, 563, 1607, 1433, 5654, 693, 519, 2104, 540, 2230, 2951, 1519, 6046, 31612, 14617, 14361, 267, 7658, 1636, 532, 267, 543, 942, 2951, 269, 6520, 476, 279, 268, 1321, 563, 314, 19733, 19554, 1627, 269, 590, 269, 277, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 4147, 923, 1315, 8466, 11470, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 7170, 281, 4197, 519, 13017, 9737, 22226, 3004, 1080, 543, 2672, 20141, 8211, 566, 538, 3493, 4809, 15136, 692, 3721, 476, 272, 281, 6258, 6168, 2672, 20141, 8211, 566, 543, 3493, 4809, 15136, 454, 6524, 11362, 883, 519, 2078, 1063, 7209, 7592, 543, 29047, 1361, 566, 538, 19591, 4713, 267, 621, 781, 2629, 547, 1174, 1312, 2035, 14350, 269, 2672, 20141, 1361, 566, 4016, 547, 4555, 827, 267, 610, 606, 8966, 840, 21232, 566, 609, 267, 11980, 269, 3493, 4809, 4713, 1331, 1585, 2175, 6353, 676, 10770, 4606, 540, 18354, 267, 27945, 1145, 267, 543, 8519, 1719, 610, 12257, 538, 2238, 269, 1452, 4713, 666, 1291, 547, 513, 2039, 540, 2589, 267, 971, 607, 2242, 538, 3207, 3270, 267, 14031, 267, 1648, 1377, 267, 5834, 267, 543, 1582, 12635, 780, 7659, 9133, 281, 25506, 602, 29047, 1361, 566, 568, 811, 982, 1175, 4743, 8909, 282, 621, 3322, 3742, 4555, 827, 10678, 835, 781, 1272, 780, 3721, 476, 273, 281, 10576, 5871, 5915, 16623, 23105, 2060, 2672, 20141, 8211, 566, 538, 3493, 4809, 15136, 454, 4407, 15388, 713, 1888, 267, 4063, 1808, 15295, 2188, 1419, 5532, 547, 2799, 1981, 540, 29047, 1361, 566, 1851, 2043, 609, 19591, 4713, 269, 2368, 4122, 4080, 12205, 616, 7820, 2085, 267, 4775, 4008, 267, 2539, 14227, 4567, 267, 2713, 4805, 267, 1373, 32014, 267, 543, 7680, 1713, 1272, 21500, 630, 324, 3052, 1421, 2530, 540, 513, 6068, 835, 6393, 28223, 281, 5901, 538, 2247, 602, 891, 15295, 2188, 798, 711, 17046, 569, 3589, 29047, 1361, 566, 855, 949, 2333, 13438, 950, 5916, 609, 824, 1981, 2188, 899, 1978, 7209, 7592, 780, 3721, 476, 274, 281, 10812, 16930, 22226, 3004, 1080, 13565, 547, 2672, 20141, 8211, 566, 454, 22137, 2303, 1896, 7209, 7592, 616, 9846, 2404, 609, 29047, 1361, 566, 538, 1004, 609, 19591, 4713, 269, 1452, 1331, 1164, 5778, 339, 6291, 267, 1970, 3063, 11437, 267, 1970, 931, 2615, 1190, 1145, 267, 543, 1970, 3858, 629, 30276, 269, 3958, 267, 2043, 945, 8858, 791, 6160, 2032, 267, 14699, 267, 543, 27945, 1145, 4043, 547, 1867, 2362, 2157, 540, 29047, 1361, 566, 780, 7659, 9133, 281, 5457, 602, 2348, 891, 7209, 7592, 1281, 711, 1611, 2576, 786, 1020, 29047, 1361, 566, 1107, 789, 3274, 2099, 2799, 18687, 780, 3721, 476, 275, 281, 31385, 1215, 22226, 3004, 1080, 19928, 1393, 547, 2672, 20141, 8211, 566, 454, 31094, 1275, 7592, 3565, 547, 29047, 1361, 566, 998, 1585, 6127, 269, 1280, 1383, 267, 1164, 5778, 339, 6291, 1522, 22652, 2942, 4664, 4810, 1282, 19591, 14501, 267, 1247, 1970, 3063, 11437, 1223, 17225, 948, 5498, 22701, 5615, 1813, 547, 1514, 15639, 543, 21084, 269, 6764, 6160, 2032, 543, 14699, 949, 7520, 16420, 3375, 6194, 3823, 11980, 8942, 269, 5015, 267, 27945, 1145, 814, 1044, 2047, 5532, 547, 2799, 29047, 1361, 566, 780, 28223, 281, 6333, 519, 1950, 16799, 1063, 7209, 7592, 543, 2825, 2188, 950, 10442, 4220, 585, 29047, 1361, 566, 780, 3721, 476, 276, 281, 22982, 901, 11310, 585, 10644, 543, 27800, 11150, 454, 8139, 519, 1909, 540, 7209, 7592, 538, 29047, 1361, 566, 2636, 2790, 1072, 4648, 547, 20688, 6604, 543, 6304, 2994, 811, 3927, 269, 1635, 7114, 693, 16151, 2043, 1759, 593, 741, 2189, 4999, 540, 15295, 4162, 543, 7209, 7592, 267, 19353, 666, 1683, 6098, 1489, 1354, 16839, 8451, 269, 5047, 267, 6220, 7209, 16023, 4879, 883, 6296, 17867, 20241, 666, 3986, 2949, 1416, 585, 1346, 10010, 609, 19591, 4713, 780, 7659, 9133, 281, 7216, 8446, 543, 6304, 3648, 2569, 519, 10171, 540, 11144, 689, 29047, 1361, 566, 547, 4890, 11980, 8942, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 17413, 2433, 476, 1001, 275, 1923, 11730, 454, 347, 17136, 2433, 476, 274, 1923, 8525, 2433, 476, 14681, 268, 8182, 454, 20779, 4919, 543, 7209, 4879, 538, 6935, 547, 29047, 1361, 566, 538, 19591, 4713, 454, 8649, 1415, 661, 15011, 3139, 267, 715, 11481, 681, 19869, 601, 674, 3430, 1695, 267, 18491, 6767, 631, 4432, 16549, 787, 454, 23430, 540, 24741, 267, 20513, 540, 6925, 267, 2098, 698, 1794, 580, 2160, 267, 2098, 698, 1794, 580, 267, 5527, 454, 347, 14630, 540, 4427, 3939, 1475, 1724, 5025, 1872, 268, 1001, 275, 2008, 347, 14630, 540, 20504, 766, 1475, 1015, 4149, 788, 268, 1001, 275, 2008, 347, 14630, 540, 5680, 22910, 1475, 1556, 9539, 990, 268, 1001, 275, 2008, 301, 11481, 681, 19869, 601, 674, 3430, 1695, 454, 23430, 540, 24741, 267, 20513, 540, 6925, 267, 2098, 698, 1794, 580, 2160, 267, 2098, 698, 1794, 580, 454, 13126, 540, 8081, 281, 7183, 267, 18366, 540, 9314, 281, 7183, 454, 22296, 20141, 1361, 566, 568, 1455, 538, 19591, 4713, 267, 855, 1152, 26815, 1644, 547, 4965, 10335, 269, 1677, 2061, 29047, 2623, 267, 621, 568, 1271, 547, 1732, 1174, 519, 7209, 7592, 2404, 609, 29047, 1361, 566, 1317, 12605, 543, 4879, 540, 29047, 1361, 566, 538, 20158, 2550, 568, 606, 1898, 3815, 585, 1697, 2359, 563, 2171, 6322, 547, 2708, 930, 15295, 9043, 543, 7209, 7592, 538, 6935, 547, 29047, 1361, 566, 538, 1244, 516, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 25787, 1315, 5369, 31752, 1315, 22226, 15136, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 6092, 5149, 281, 7025, 667, 18341, 566, 543, 11572, 3163, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1950, 2078, 1063, 2825, 12159, 543, 2797, 2257, 267, 4481, 1369, 519, 2796, 540, 14051, 269, 1284, 786, 2263, 875, 13210, 899, 519, 18842, 651, 325, 11839, 29564, 8750, 630, 305, 289, 293, 264, 723, 15527, 547, 2825, 2591, 543, 9862, 741, 2994, 936, 942, 269, 901, 1770, 6663, 547, 1683, 596, 609, 513, 2620, 1620, 540, 519, 1909, 602, 6214, 4249, 538, 5935, 938, 2067, 1158, 267, 543, 598, 14287, 267, 875, 2825, 2152, 1764, 2797, 1949, 1472, 519, 8608, 780, 296, 269, 4197, 7025, 667, 18341, 566, 692, 4263, 922, 4295, 267, 2825, 12159, 4016, 547, 519, 21324, 540, 8134, 1813, 547, 1480, 2238, 971, 607, 5533, 267, 17717, 267, 9390, 2305, 267, 543, 2916, 1689, 269, 1452, 3157, 21279, 519, 6940, 540, 938, 4541, 543, 10460, 1713, 4220, 547, 1312, 1480, 7239, 543, 1875, 25993, 2249, 269, 1306, 519, 681, 289, 293, 781, 1995, 9727, 267, 5466, 2825, 12159, 3340, 13447, 539, 3646, 2066, 1585, 9922, 267, 1519, 2229, 267, 3540, 2486, 267, 1870, 267, 543, 24243, 780, 2862, 269, 7216, 22604, 547, 7025, 11094, 692, 763, 2038, 1296, 540, 519, 681, 289, 293, 941, 6825, 676, 513, 1445, 593, 8497, 543, 7863, 519, 1604, 998, 14828, 13389, 2551, 1852, 543, 5726, 269, 5853, 532, 3972, 2465, 5487, 4269, 590, 269, 18842, 651, 325, 11839, 5129, 513, 11358, 1909, 538, 891, 7341, 267, 16107, 1010, 3310, 543, 2200, 547, 3895, 5726, 607, 513, 2565, 2460, 540, 519, 7690, 781, 5692, 269, 1635, 6313, 891, 3355, 18129, 267, 649, 666, 1732, 1174, 519, 3140, 5072, 540, 2413, 2825, 1143, 543, 2697, 1883, 4245, 4121, 2059, 519, 1259, 780, 7656, 269, 11154, 532, 11150, 27933, 25827, 543, 4317, 15448, 692, 2026, 12006, 538, 519, 1349, 267, 519, 681, 289, 293, 6444, 519, 991, 547, 11457, 922, 1935, 547, 2232, 6932, 18125, 540, 2825, 12159, 267, 9750, 3621, 1702, 267, 543, 519, 3395, 23146, 540, 519, 3486, 2825, 3350, 269, 901, 13261, 18879, 19156, 519, 2956, 540, 9363, 5483, 827, 13346, 6384, 543, 1373, 5423, 547, 4188, 12485, 9935, 269, 1280, 3236, 267, 4207, 3906, 949, 991, 547, 2272, 585, 2188, 971, 607, 8375, 4262, 2157, 267, 9265, 2530, 267, 543, 4199, 20317, 950, 13167, 741, 2825, 989, 31789, 780, 4353, 269, 15348, 267, 5295, 267, 543, 7025, 8889, 692, 288, 2629, 10155, 540, 2825, 12159, 6013, 693, 519, 10167, 540, 1379, 543, 6214, 269, 22749, 1404, 513, 3844, 1909, 538, 4259, 4507, 602, 2901, 22652, 610, 11574, 8733, 2800, 269, 9182, 267, 1620, 519, 14960, 540, 3609, 6194, 31251, 30393, 4690, 267, 9431, 10850, 267, 543, 3375, 6194, 3157, 28934, 1898, 585, 4896, 5275, 547, 4497, 3927, 609, 2825, 2152, 269, 3958, 267, 7421, 2013, 2090, 1141, 2797, 9270, 12969, 609, 2825, 4145, 24259, 1769, 593, 519, 1761, 4539, 540, 3609, 5079, 267, 607, 1134, 607, 3255, 585, 2318, 1689, 780, 309, 269, 32501, 543, 4706, 8177, 593, 7025, 667, 18341, 566, 692, 17471, 1436, 12857, 2189, 2591, 543, 7399, 3823, 2825, 4027, 269, 2201, 835, 1688, 267, 2799, 14479, 543, 2804, 5610, 7520, 1344, 5385, 267, 5698, 267, 543, 5647, 6322, 693, 28530, 2825, 12159, 269, 30027, 3585, 267, 2705, 267, 2518, 1242, 6990, 666, 14556, 1518, 12503, 593, 13113, 2200, 543, 3565, 547, 5667, 20980, 2853, 269, 24167, 519, 12242, 2470, 540, 14051, 2636, 721, 547, 5660, 1312, 922, 9153, 543, 25354, 1247, 14719, 908, 2081, 547, 10244, 922, 2640, 585, 2825, 19642, 780, 9654, 269, 7351, 12367, 543, 7464, 21509, 6201, 692, 2414, 2417, 9414, 519, 3095, 1137, 1063, 2797, 2257, 543, 2825, 12159, 267, 1577, 721, 13713, 4983, 1896, 4207, 7835, 543, 8320, 540, 1655, 2259, 1384, 265, 8693, 23372, 281, 4139, 16395, 5059, 593, 4227, 8511, 3154, 5434, 4196, 607, 6305, 1806, 540, 2797, 6278, 609, 2825, 6927, 269, 3502, 26312, 11650, 1331, 519, 8303, 15716, 630, 1001, 277, 1070, 799, 4547, 1927, 5176, 476, 1220, 2477, 8149, 547, 12145, 2837, 4679, 269, 1717, 267, 4797, 3356, 12346, 8185, 593, 7347, 6469, 4507, 543, 1617, 10561, 9316, 563, 265, 3690, 20139, 14223, 5121, 281, 6348, 3766, 21194, 11051, 1419, 12840, 2066, 3084, 10665, 547, 12167, 585, 2825, 3123, 267, 7586, 4328, 9739, 543, 5807, 17604, 1851, 3309, 14218, 4293, 269, 20871, 971, 607, 5682, 701, 864, 543, 14886, 540, 519, 3047, 12013, 1518, 713, 7678, 267, 14139, 7580, 11044, 543, 2923, 23793, 547, 6318, 4656, 543, 20834, 1125, 1489, 563, 265, 8562, 983, 4346, 3741, 281, 20876, 519, 7687, 540, 2757, 5276, 2504, 3631, 9497, 339, 820, 2173, 820, 2914, 4292, 19823, 930, 4213, 616, 8508, 9764, 4346, 4485, 2966, 547, 7413, 3653, 543, 11126, 4199, 4398, 269, 1635, 1232, 537, 7204, 2208, 689, 4199, 4616, 267, 3549, 666, 2569, 741, 2825, 11640, 1247, 4509, 20656, 269, 6201, 2039, 689, 5499, 30596, 19234, 609, 27500, 2326, 547, 3964, 14078, 12561, 1587, 1491, 3724, 3292, 543, 6806, 2000, 17274, 5663, 2553, 780, 23997, 269, 14506, 543, 17564, 5999, 692, 9961, 713, 1576, 1770, 267, 649, 723, 8268, 1585, 7516, 540, 2825, 12159, 1369, 519, 7706, 540, 2797, 2257, 269, 1677, 19597, 622, 707, 1565, 543, 8141, 4514, 8086, 267, 2015, 519, 1739, 2055, 1384, 265, 1215, 798, 1114, 2010, 540, 2797, 20816, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 11044, 5466, 1808, 1514, 267, 2804, 267, 543, 2825, 4598, 543, 13438, 563, 288, 8037, 6712, 540, 519, 9568, 30840, 543, 6940, 3646, 15382, 814, 8045, 936, 519, 1296, 1331, 922, 6165, 540, 6952, 618, 30520, 547, 2061, 14700, 1369, 543, 3544, 519, 32041, 267, 543, 922, 10450, 282, 2679, 544, 8712, 593, 588, 559, 1206, 630, 9987, 267, 15382, 4975, 25795, 330, 2088, 267, 15382, 16410, 534, 520, 10224, 264, 547, 1450, 6360, 7297, 689, 11105, 25825, 547, 2095, 11884, 282, 19713, 3859, 1379, 538, 476, 1015, 15382, 544, 8712, 630, 278, 538, 519, 13372, 267, 476, 274, 538, 3624, 5148, 2679, 29828, 720, 9615, 12518, 538, 782, 15382, 544, 8712, 547, 22120, 543, 18359, 1216, 282, 9657, 998, 519, 1982, 2048, 23871, 1662, 547, 22418, 685, 585, 7404, 2950, 563, 13010, 267, 15382, 11788, 15579, 902, 5549, 9538, 338, 10661, 540, 519, 15382, 26504, 4741, 9360, 519, 2754, 781, 1582, 25252, 11797, 543, 30840, 19206, 563, 21132, 1870, 15364, 1544, 9744, 538, 15382, 18412, 5713, 607, 513, 6190, 4859, 585, 1271, 1239, 540, 519, 2754, 543, 922, 8639, 267, 1519, 5520, 267, 6800, 267, 14273, 267, 2950, 267, 543, 32041, 4557, 1218, 799, 616, 9286, 607, 5843, 267, 9540, 267, 543, 23839, 9373, 1440, 2478, 630, 5960, 10933, 1040, 26671, 547, 581, 6740, 543, 2895, 1882, 616, 1346, 602, 616, 22317, 547, 9049, 10933, 338, 685, 3232, 4238, 267, 971, 607, 1870, 14998, 267, 6006, 11891, 267, 1480, 2200, 267, 543, 6142, 563, 7093, 335, 1563, 1145, 568, 519, 5127, 13702, 540, 513, 3811, 14488, 30925, 269, 1306, 7341, 899, 519, 1520, 9953, 5025, 4211, 640, 5358, 32736, 267, 4264, 3435, 616, 2877, 269, 6744, 856, 741, 10319, 4674, 547, 1832, 519, 13372, 9568, 9113, 559, 1304, 538, 519, 3381, 2630, 912, 2690, 811, 1344, 593, 519, 1520, 9953, 5025, 4211, 640, 5358, 267, 3643, 715, 13612, 779, 4013, 3896, 693, 8940, 269, 637, 559, 1466, 322, 1735, 4290, 19657, 563, 27237, 292, 281, 15952, 21158, 4930, 616, 30572, 2934, 689, 938, 13384, 832, 543, 711, 3377, 4930, 689, 938, 21107, 5234, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12053, 21247, 9240, 1846, 689, 2067, 21247, 267, 10081, 268, 793, 819, 2837, 1239, 585, 5697, 11337, 2158, 267, 543, 8143, 2126, 540, 1007, 22803, 8143, 13471, 4604, 1759, 593, 9450, 829, 29411, 454, 529, 14916, 1031, 538, 4070, 543, 824, 6080, 1813, 547, 922, 1970, 7805, 2597, 607, 1134, 607, 1970, 3002, 11664, 543, 1164, 3280, 10338, 563, 763, 6445, 518, 2882, 513, 7848, 540, 5805, 335, 663, 539, 543, 9450, 11849, 543, 9450, 829, 29411, 454, 21080, 2281, 1369, 519, 9450, 829, 29411, 454, 25075, 728, 922, 32229, 4398, 563, 28139, 6856, 7132, 9450, 829, 29411, 454, 4820, 2873, 267, 543, 3857, 337, 1881, 829, 29411, 5536, 267, 941, 1031, 607, 1489, 2326, 563, 15703, 17426, 27960, 941, 7318, 267, 1519, 17375, 21384, 267, 17426, 5070, 267, 9450, 32549, 267, 543, 9450, 829, 29411, 0, 19328, 568, 28210, 538, 519, 11782, 540, 5607, 267, 621, 6227, 936, 476, 273, 267, 9032, 274, 267, 4350, 5998, 273, 630, 272, 267, 15704, 267, 4817, 277, 11465, 273, 264, 540, 2244, 543, 476, 27183, 267, 271, 3583, 5998, 273, 630, 13199, 267, 28091, 11465, 273, 264, 4009, 12919, 540, 1216, 267, 1818, 621, 519, 476, 278, 628, 4102, 4182, 538, 519, 1158, 563, 19328, 729, 8547, 607, 513, 3982, 543, 3312, 4182, 538, 476, 1428, 4864, 476, 3707, 278, 269, 634, 2551, 540, 3127, 568, 476, 272, 269, 27844, 5479, 630, 1001, 277, 264, 543, 519, 4182, 814, 513, 5860, 540, 476, 4343, 273, 1004, 829, 4009, 9481, 518, 563, 763, 9304, 540, 3127, 568, 519, 22859, 701, 525, 630, 2562, 305, 1040, 1306, 1134, 267, 519, 1004, 540, 3127, 616, 5219, 547, 607, 12075, 563, 763, 3854, 540, 19360, 568, 1715, 16156, 563, 293, 9711, 6168, 3127, 454, 763, 2551, 540, 3127, 568, 4397, 547, 20546, 519, 2551, 540, 3624, 538, 476, 1708, 279, 563, 2467, 616, 476, 1556, 4654, 9275, 2066, 519, 3259, 543, 4560, 540, 3127, 267, 519, 1283, 476, 1556, 4654, 540, 3127, 2687, 547, 11192, 10529, 630, 10175, 700, 273, 543, 700, 274, 10529, 264, 2687, 547, 476, 1220, 272, 14829, 616, 267, 19446, 2443, 630, 4649, 272, 269, 275, 264, 28985, 267, 2296, 2443, 630, 10219, 269, 274, 264, 28985, 267, 15622, 8932, 2443, 630, 11011, 269, 272, 264, 28985, 267, 20052, 30253, 2443, 630, 10019, 269, 280, 264, 28985, 267, 3057, 27821, 2443, 476, 10019, 269, 272, 28985, 267, 20474, 2443, 476, 5780, 269, 278, 28985, 267, 21460, 2443, 476, 6795, 269, 272, 28985, 267, 918, 2335, 3385, 2443, 476, 2004, 269, 278, 28985, 267, 30899, 10620, 2443, 476, 2004, 269, 273, 28985, 267, 13095, 807, 2443, 476, 3607, 269, 277, 28985, 267, 30017, 15401, 2443, 476, 3451, 269, 278, 28985, 563, 19328, 849, 814, 476, 2420, 4654, 1634, 607, 519, 2480, 1117, 27968, 19932, 540, 3127, 267, 7396, 1934, 2687, 547, 1297, 540, 5065, 630, 299, 272, 264, 10529, 538, 3127, 630, 21671, 1070, 15622, 8932, 267, 20052, 30253, 267, 3057, 27821, 267, 20474, 267, 21460, 267, 30899, 10620, 267, 918, 2335, 3385, 267, 30017, 15401, 267, 13095, 807, 267, 23570, 328, 267, 2667, 1868, 324, 267, 8575, 603, 8270, 267, 16114, 8932, 267, 22758, 328, 267, 13605, 8932, 267, 590, 785, 6062, 267, 23951, 330, 8643, 267, 13928, 686, 267, 28294, 19441, 267, 26636, 334, 267, 16130, 563, 2467, 616, 4654, 609, 9645, 10529, 855, 711, 3769, 607, 16516, 267, 789, 616, 267, 13225, 8270, 267, 918, 8518, 525, 6062, 267, 27956, 4157, 327, 267, 570, 21343, 267, 10609, 14515, 267, 631, 1495, 926, 267, 14208, 267, 24230, 2993, 563, 19328, 814, 513, 1630, 4040, 4670, 2872, 267, 799, 568, 4867, 519, 7887, 538, 519, 1158, 269, 634, 2872, 7472, 476, 272, 267, 1911, 8874, 1142, 1032, 563, 19328, 568, 849, 1753, 547, 12157, 16072, 267, 513, 19446, 7260, 2872, 1759, 538, 29180, 269, 769, 476, 1001, 272, 2687, 547, 519, 4095, 22588, 569, 4750, 540, 4139, 16457, 267, 476, 274, 269, 276, 2929, 17914, 941, 11751, 782, 936, 519, 1158, 585, 12157, 16072, 9413, 1818, 621, 811, 982, 476, 12010, 267, 1822, 811, 982, 21035, 9413, 563, 19328, 568, 519, 1158, 779, 7887, 16073, 543, 7082, 540, 27335, 563, 6097, 547, 519, 3703, 2564, 4750, 267, 476, 1220, 267, 1822, 1004, 5884, 4948, 689, 10913, 593, 519, 9897, 540, 3127, 563, 1103, 476, 1001, 276, 267, 3127, 13264, 519, 2594, 585, 519, 4102, 1297, 540, 1004, 21039, 607, 8575, 32257, 19413, 563, 300, 2129, 663, 553, 10127, 600, 577, 663, 19413, 729, 606, 4095, 19191, 945, 729, 519, 6205, 540, 519, 4095, 7115, 3350, 1996, 3703, 4341, 563, 19328, 568, 1753, 547, 10548, 19453, 932, 879, 7315, 267, 519, 1158, 2594, 23649, 585, 13074, 1590, 5995, 563, 2304, 4095, 14799, 945, 4422, 676, 519, 2012, 918, 15401, 663, 15401, 12920, 531, 24048, 267, 6585, 519, 1158, 2594, 585, 519, 13074, 7544, 2261, 25070, 676, 606, 1367, 269, 2701, 546, 2331, 585, 476, 11277, 3108, 543, 476, 1428, 3764, 563, 19328, 779, 15173, 15158, 2861, 10649, 4116, 962, 690, 541, 1690, 595, 623, 267, 945, 568, 8385, 689, 3127, 267, 12236, 519, 2140, 1310, 7900, 606, 11141, 476, 2537, 1114, 13514, 1282, 606, 3801, 593, 519, 1305, 540, 2871, 514, 1145, 2622, 19475, 1107, 2806, 3127, 570, 617, 9298, 538, 29180, 267, 3127, 538, 476, 1001, 272, 563, 19328, 568, 519, 1101, 2197, 547, 6494, 513, 14361, 547, 9370, 593, 1101, 3801, 269, 634, 9370, 10739, 5692, 729, 9250, 538, 5437, 476, 1001, 274, 543, 814, 1044, 28835, 2094, 5181, 476, 1001, 275, 563, 12850, 593, 519, 7599, 729, 1101, 4362, 676, 3127, 779, 631, 7709, 779, 8863, 19781, 630, 2419, 18588, 779, 16816, 15994, 23531, 264, 5645, 676, 25941, 2001, 22528, 269, 25941, 2001, 22528, 729, 9250, 676, 519, 4095, 6611, 3194, 9257, 538, 5239, 476, 1220, 279, 543, 13234, 2394, 4864, 476, 1220, 280, 563, 2304, 4095, 22301, 268, 770, 1258, 9593, 676, 519, 2012, 589, 787, 629, 1002, 320, 25282, 513, 1297, 1062, 602, 3769, 6207, 476, 271, 779, 563, 1103, 476, 3422, 274, 267, 519, 4095, 2230, 3919, 9250, 3127, 779, 1101, 2230, 15177, 689, 519, 774, 3518, 320, 4982, 31247, 9412, 564, 5487, 684, 4221, 13749, 269, 634, 15177, 729, 865, 1769, 621, 729, 16487, 676, 17919, 563, 763, 476, 2918, 628, 540, 2904, 568, 2257, 1554, 538, 16848, 269, 901, 568, 538, 8956, 540, 3127, 779, 608, 25535, 1211, 6673, 297, 19869, 592, 918, 15401, 267, 945, 6594, 6323, 543, 18395, 563, 4338, 297, 19869, 592, 918, 15401, 8678, 3127, 779, 17224, 517, 27658, 4886, 19372, 618, 267, 4098, 1010, 4876, 676, 8888, 513, 29357, 585, 519, 4095, 7952, 269, 769, 476, 3422, 280, 646, 6410, 547, 519, 594, 11965, 302, 607, 1788, 8689, 540, 519, 2197, 779, 31420, 32374, 27990, 563, 14549, 779, 570, 4861, 4092, 538, 1715, 16156, 267, 568, 519, 1101, 4677, 2389, 4861, 538, 519, 1158, 269, 898, 729, 1101, 9112, 538, 3965, 540, 519, 28753, 531, 14890, 9966, 599, 684, 563, 19328, 814, 835, 540, 519, 9510, 12977, 538, 519, 1158, 563, 763, 1473, 639, 9503, 799, 3217, 909, 476, 276, 260, 540, 3127, 1631, 9031, 267, 7389, 1394, 547, 827, 476, 273, 267, 6110, 6195, 476, 14596, 271, 1296, 3516, 563, 19328, 568, 519, 10600, 4102, 2551, 540, 1875, 24578, 520, 3548, 619, 563, 5278, 540, 519, 1034, 2442, 8286, 538, 3127, 616, 17164, 4115, 267, 570, 1495, 599, 3223, 321, 629, 267, 670, 2812, 320, 12551, 4354, 787, 630, 296, 1501, 631, 3147, 615, 808, 3128, 1070, 966, 3385, 623, 822, 267, 5754, 1457, 629, 14508, 21960, 344, 8643, 267, 667, 6242, 267, 4095, 24755, 520, 563, 288, 1747, 3957, 932, 841, 568, 1753, 547, 519, 5207, 25319, 2666, 538, 519, 1158, 269, 634, 2666, 568, 4092, 693, 513, 14629, 9008, 799, 3800, 538, 693, 476, 273, 267, 4335, 332, 1657, 4262, 1377, 563, 763, 1158, 779, 9510, 6444, 6280, 729, 538, 570, 27232, 1662, 10042, 630, 21865, 1572, 12525, 10042, 1040, 4340, 547, 8100, 538, 519, 10548, 27011, 267, 3751, 32038, 1092, 8547, 519, 4884, 538, 519, 2012, 540, 1010, 5067, 267, 570, 27232, 320, 563, 19328, 568, 1753, 547, 29069, 10067, 531, 269, 29069, 10067, 531, 568, 835, 540, 519, 5722, 13300, 540, 519, 1158, 267, 543, 2679, 1942, 729, 6059, 693, 476, 3953, 2929, 563, 763, 29069, 10067, 531, 538, 849, 547, 606, 10172, 476, 3953, 1032, 547, 1628, 563, 307, 1690, 10067, 531, 729, 20827, 676, 631, 690, 592, 17169, 20961, 808, 25301, 779, 547, 2777, 519, 8575, 639, 1961, 636, 540, 1010, 5172, 7385, 631, 636, 339, 1794, 10067, 531, 630, 25324, 1014, 585, 968, 1492, 6074, 835, 540, 519, 20066, 26158, 945, 5747, 538, 476, 14321, 272, 563, 307, 1690, 10067, 531, 568, 10272, 676, 936, 476, 279, 2929, 1004, 1142, 1032, 563, 19328, 814, 519, 5207, 1297, 540, 16080, 712, 1027, 4600, 3379, 547, 1022, 824, 851, 540, 519, 1158, 563, 279, 260, 540, 2475, 543, 2342, 779, 16080, 25703, 2501, 689, 3127, 543, 568, 2872, 4502, 476, 5611, 5479, 9489, 563, 7804, 14076, 754, 571, 2398, 553, 611, 729, 519, 1101, 7022, 540, 3127, 563, 19328, 568, 519, 2034, 4102, 2296, 6340, 2197, 538, 519, 1158, 563, 763, 29224, 932, 8270, 2501, 689, 3127, 543, 922, 1634, 607, 13225, 583, 795, 565, 758, 807, 269, 898, 568, 16916, 538, 519, 29036, 4095, 2829, 540, 1488, 684, 778, 531, 21423, 267, 2667, 600, 267, 18491, 531, 663, 543, 28294, 584, 563, 763, 17020, 571, 8862, 528, 2993, 7256, 13017, 12904, 616, 3160, 547, 519, 3618, 779, 18592, 269, 634, 17020, 571, 8862, 528, 2993, 7256, 13017, 529, 936, 476, 31979, 1111, 538, 4463, 543, 3576, 9631, 591, 476, 1015, 1296, 547, 1628, 269, 634, 8115, 6402, 17020, 571, 538, 519, 5375, 4427, 31755, 540, 29180, 609, 702, 2993, 538, 3162, 29180, 563, 4537, 2086, 5622, 729, 11827, 538, 3127, 267, 519, 2262, 7389, 1394, 547, 476, 12293, 273, 543, 2501, 689, 519, 19446, 2262, 968, 2419, 2086, 334, 892, 799, 729, 6508, 689, 519, 2262, 968, 2419, 777, 599, 10620, 9731, 290, 19897, 568, 519, 1034, 2442, 5026, 538, 3127, 267, 621, 729, 5189, 1247, 519, 3703, 12199, 3127, 563, 19328, 18023, 539, 519, 5026, 1634, 607, 968, 298, 629, 5417, 328, 6100, 634, 3014, 540, 28763, 5417, 328, 568, 1767, 547, 723, 12090, 689, 519, 8828, 3557, 540, 20474, 24385, 340, 267, 538, 3127, 269, 634, 2262, 28763, 5417, 328, 2501, 689, 519, 20474, 2262, 11313, 298, 2967, 1790, 21355, 8730, 799, 18922, 547, 968, 3835, 532, 3946, 9731, 763, 4095, 28763, 5417, 328, 2319, 1312, 2367, 543, 2021, 723, 4465, 1169, 2582, 28763, 5417, 328, 29658, 2479, 3144, 1747, 269, 634, 6735, 814, 1044, 4371, 538, 476, 1220, 275, 267, 476, 1220, 278, 543, 476, 1001, 277, 563, 1103, 930, 2694, 540, 3127, 267, 7128, 10492, 609, 513, 1590, 5995, 4309, 513, 2628, 6318, 1169, 3923, 269, 901, 568, 1034, 1455, 538, 8496, 27256, 623, 2784, 880, 1141, 741, 2706, 12542, 3494, 621, 13071, 873, 4971, 2463, 563, 763, 2601, 1946, 519, 4095, 7128, 5957, 519, 10609, 13403, 568, 1317, 621, 666, 1205, 1360, 18660, 538, 3127, 269, 634, 10609, 13403, 568, 513, 3501, 31491, 720, 547, 7452, 543, 13897, 563, 763, 4095, 7128, 22939, 811, 593, 8027, 982, 2866, 269, 3127, 838, 523, 337, 19954, 272, 267, 31229, 269, 280, 15867, 516, 593, 7128, 8027, 538, 476, 1001, 272, 268, 1001, 273, 269, 589, 1032, 2663, 713, 4137, 29860, 547, 19954, 476, 2190, 267, 276, 5780, 269, 274, 10911, 3036, 2464, 267, 1256, 1498, 3127, 1185, 1175, 3773, 827, 476, 3583, 267, 1822, 1526, 1963, 563, 2026, 851, 540, 519, 3213, 641, 4733, 4317, 26930, 540, 519, 16156, 7128, 789, 21927, 4057, 3214, 998, 11176, 563, 763, 2817, 1884, 1335, 540, 3127, 968, 297, 3570, 717, 3570, 2494, 320, 892, 729, 2854, 676, 15887, 785, 3757, 987, 22105, 648, 267, 646, 849, 7768, 519, 10854, 14435, 6062, 3084, 1884, 1335, 892, 2549, 541, 1744, 517, 541, 10854, 5055, 892, 799, 18922, 547, 968, 7069, 13642, 19377, 9731, 305, 629, 785, 3757, 987, 22105, 648, 849, 4465, 519, 17587, 15356, 585, 1010, 3332, 563, 763, 4095, 25035, 729, 7550, 538, 476, 3707, 278, 267, 1310, 789, 2968, 4830, 689, 4279, 6628, 563, 763, 4095, 9206, 1590, 581, 1500, 689, 2027, 12308, 610, 16536, 1572, 918, 10620, 563, 763, 3090, 538, 519, 1647, 540, 519, 4095, 9206, 568, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6241, 11097, 2195, 543, 1141, 789, 616, 4010, 5116, 538, 519, 4055, 676, 7893, 689, 13902, 6821, 547, 519, 6241, 563, 293, 5436, 610, 13016, 5624, 9041, 952, 519, 1753, 26782, 568, 519, 2186, 540, 1268, 945, 814, 547, 7038, 7683, 267, 6101, 5624, 1831, 513, 13766, 269, 589, 838, 20160, 535, 1195, 518, 609, 1463, 1569, 547, 519, 6101, 2713, 543, 18226, 2127, 543, 519, 9205, 2127, 3564, 568, 513, 8799, 1374, 269, 1403, 972, 568, 6190, 2230, 267, 6101, 543, 13016, 2127, 666, 581, 2966, 543, 9674, 865, 602, 835, 1281, 711, 11371, 8775, 883, 519, 824, 267, 713, 1259, 513, 1920, 609, 7820, 1453, 666, 7038, 14538, 607, 1134, 607, 11677, 741, 7834, 269, 17266, 4558, 344, 610, 2789, 19683, 9041, 930, 1004, 899, 547, 723, 513, 29413, 3262, 856, 1753, 593, 835, 1377, 1247, 930, 949, 899, 547, 1832, 5127, 7741, 593, 513, 1114, 1377, 15587, 269, 14755, 267, 513, 5595, 4558, 344, 1753, 3091, 811, 5784, 540, 519, 3544, 693, 1114, 7285, 1732, 982, 513, 2582, 4558, 344, 1753, 563, 2691, 6236, 519, 6989, 1544, 519, 1101, 3364, 547, 798, 568, 2015, 519, 10624, 269, 634, 10624, 543, 519, 1826, 540, 1426, 602, 568, 1373, 2813, 2965, 16976, 519, 2482, 856, 540, 519, 10051, 269, 634, 1101, 3364, 547, 798, 568, 2015, 519, 2095, 540, 6808, 585, 1426, 7041, 269, 3973, 519, 2095, 538, 543, 856, 540, 519, 10051, 2115, 547, 581, 2808, 269, 901, 568, 1256, 811, 1271, 982, 519, 4890, 3349, 11768, 540, 519, 13962, 3294, 269, 589, 12161, 1934, 1223, 1439, 909, 28428, 2724, 547, 7816, 607, 1134, 607, 16715, 519, 2139, 7443, 14345, 269, 0, 9915, 11286, 288, 267, 27359, 1107, 634, 9656, 1053, 693, 1325, 18090, 16504, 3427, 941, 865, 11112, 609, 519, 2238, 540, 17086, 4303, 789, 949, 711, 723, 1634, 789, 941, 1565, 3621, 3741, 269, 25867, 15608, 2274, 821, 609, 9656, 3610, 853, 864, 344, 8585, 18115, 543, 12253, 548, 595, 625, 5055, 4843, 519, 1053, 685, 1995, 547, 519, 4604, 540, 2069, 2818, 693, 519, 2063, 5870, 269, 2274, 821, 6045, 519, 2856, 585, 17086, 4303, 729, 2919, 607, 3610, 3357, 1927, 547, 5965, 547, 4001, 519, 1007, 8921, 19087, 3163, 11621, 610, 15726, 7704, 563, 2108, 2690, 806, 4303, 568, 835, 540, 519, 1655, 2395, 540, 519, 2898, 1032, 2223, 2274, 821, 1767, 563, 2108, 5445, 1451, 827, 3196, 1210, 1100, 3196, 2223, 595, 625, 5055, 1767, 563, 763, 2238, 540, 519, 1554, 941, 4646, 1472, 519, 7613, 540, 25021, 10414, 267, 595, 625, 5055, 1767, 269, 634, 1053, 6410, 998, 476, 1015, 9205, 10473, 547, 4603, 609, 519, 1259, 547, 1118, 1875, 2000, 1516, 1919, 1847, 267, 12423, 519, 2035, 540, 2014, 543, 1198, 269, 1358, 1031, 24864, 543, 27605, 547, 1711, 519, 3350, 267, 11018, 2963, 547, 1489, 610, 1201, 1393, 2093, 827, 3123, 269, 1358, 4121, 519, 1764, 540, 8273, 24864, 610, 27605, 563, 10376, 4116, 1185, 513, 1114, 6728, 609, 513, 1114, 2534, 269, 11334, 4280, 2055, 543, 3893, 4267, 689, 519, 1053, 693, 741, 10473, 563, 10527, 3610, 849, 2972, 3478, 547, 2743, 824, 1053, 607, 789, 17967, 2223, 8585, 18115, 1767, 563, 268, 8585, 18115, 1185, 10760, 530, 858, 548, 11084, 3168, 693, 519, 2078, 540, 3196, 543, 3845, 267, 18644, 513, 530, 858, 548, 3440, 689, 513, 6808, 13409, 563, 268, 595, 625, 5055, 1185, 667, 3089, 681, 2167, 585, 1053, 547, 2263, 519, 3196, 540, 2842, 3478, 513, 2370, 5835, 546, 13806, 547, 1847, 538, 513, 1216, 3349, 563, 268, 25138, 26541, 534, 779, 6728, 1185, 2875, 18214, 909, 547, 519, 1283, 540, 519, 13472, 543, 6749, 513, 11442, 1612, 778, 1393, 547, 1294, 519, 1523, 540, 2011, 4187, 538, 2962, 563, 268, 918, 7159, 14979, 16819, 1031, 28652, 645, 8712, 547, 723, 519, 1053, 6542, 7903, 543, 7485, 547, 1847, 519, 3440, 1524, 519, 18052, 563, 268, 4635, 513, 13472, 23718, 681, 10212, 1512, 334, 8268, 519, 1523, 540, 875, 8904, 2360, 5230, 543, 1769, 3615, 563, 268, 19626, 570, 612, 1512, 779, 3349, 1185, 519, 1053, 1031, 22197, 547, 1451, 827, 519, 3196, 540, 16007, 543, 1065, 13955, 563, 268, 4841, 3893, 547, 5066, 1472, 593, 1085, 2393, 619, 547, 1265, 856, 827, 11508, 693, 9253, 20811, 17833, 880, 779, 4087, 563, 268, 17886, 341, 10005, 26990, 612, 1031, 519, 2462, 1612, 778, 1393, 547, 1413, 693, 8904, 563, 268, 2806, 321, 622, 1031, 5102, 18436, 547, 1847, 1919, 538, 513, 2147, 1259, 547, 513, 9660, 1467, 563, 268, 4841, 3096, 1402, 338, 1834, 3032, 777, 6699, 547, 10131, 11084, 267, 3168, 693, 3196, 267, 2597, 543, 3845, 563, 763, 2063, 2680, 540, 519, 1554, 729, 513, 9983, 547, 1053, 269, 11334, 543, 1053, 5258, 883, 1079, 6887, 267, 2699, 543, 4544, 267, 585, 513, 512, 1872, 540, 2112, 269, 634, 1053, 3893, 1360, 3238, 538, 1750, 1359, 585, 741, 2319, 563, 22154, 568, 5963, 513, 1554, 789, 616, 7722, 543, 519, 3196, 568, 609, 721, 2223, 8585, 18115, 1767, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1560, 11571, 9066, 267, 1577, 721, 1101, 4983, 1946, 11009, 6927, 1369, 519, 2796, 540, 1870, 543, 4948, 1272, 269, 3776, 2413, 6228, 11148, 547, 581, 6353, 676, 3586, 19240, 543, 1617, 527, 27965, 267, 799, 1382, 5267, 949, 17225, 5042, 2773, 269, 1280, 3236, 267, 11676, 14852, 267, 2725, 9807, 267, 1299, 27213, 630, 1220, 272, 264, 1336, 602, 4305, 1606, 342, 26677, 3366, 547, 2799, 6959, 543, 8519, 4398, 3379, 547, 7900, 4247, 18615, 569, 269, 28552, 11009, 2337, 25559, 891, 2942, 2360, 676, 5355, 18906, 1308, 1852, 543, 2324, 3965, 4390, 269, 5015, 267, 2687, 547, 932, 625, 320, 1696, 620, 9538, 338, 13849, 20400, 630, 1001, 272, 1070, 2834, 11009, 5751, 3986, 1582, 30625, 1983, 267, 4227, 791, 6160, 2032, 1247, 29103, 1359, 3375, 6194, 5759, 780, 3086, 267, 1394, 547, 1560, 11571, 9066, 4481, 269, 1215, 1281, 621, 3565, 547, 1367, 2208, 543, 10721, 1646, 286, 17616, 267, 2502, 538, 5812, 1560, 11571, 1199, 5511, 2259, 6087, 1004, 547, 1732, 4383, 2566, 6114, 269, 589, 19747, 6417, 4693, 5342, 676, 14208, 613, 1696, 620, 269, 630, 1001, 274, 264, 7152, 602, 11009, 2861, 2566, 5786, 3292, 3648, 4389, 4160, 2157, 1851, 5171, 7092, 689, 20902, 4160, 4524, 269, 9717, 602, 7050, 5855, 5540, 5111, 476, 275, 260, 540, 4892, 12422, 630, 298, 612, 2401, 1696, 620, 1421, 476, 1220, 276, 1070, 14139, 2553, 899, 1560, 11571, 9066, 1223, 6961, 6225, 538, 5466, 7839, 4145, 827, 9441, 25794, 543, 21022, 2790, 1072, 780, 11101, 267, 8026, 1560, 11571, 9066, 10114, 999, 6568, 543, 8296, 1107, 7907, 3810, 8179, 1310, 538, 5718, 5107, 269, 3194, 2982, 602, 14156, 10995, 3401, 6536, 10319, 5054, 20009, 547, 5647, 543, 5876, 630, 289, 1195, 28739, 529, 267, 717, 1961, 2006, 267, 1299, 28039, 324, 267, 476, 1960, 280, 1040, 4935, 267, 3384, 1582, 18221, 998, 1560, 11571, 9066, 6038, 8309, 547, 2870, 18900, 28737, 3710, 2390, 3972, 267, 2463, 267, 543, 1930, 2792, 9055, 780, 15563, 267, 7598, 1560, 11571, 9066, 1369, 3906, 9727, 9746, 1514, 5539, 543, 7029, 547, 9441, 10304, 269, 1306, 4213, 11441, 547, 16174, 2933, 8015, 18979, 6735, 267, 5356, 9716, 7341, 5713, 607, 513, 8903, 9513, 1448, 585, 19788, 1283, 13007, 269, 5047, 267, 10115, 538, 1480, 3854, 2164, 538, 1279, 3856, 7024, 267, 1519, 8476, 7607, 543, 14017, 269, 9182, 267, 4464, 23302, 3549, 1131, 798, 1134, 547, 11753, 11009, 2853, 971, 607, 1560, 11571, 9066, 883, 741, 2866, 543, 1646, 21195, 780, 2026, 851, 540, 707, 1378, 1582, 25298, 20786, 267, 2119, 4259, 11735, 4557, 3764, 1169, 1554, 585, 1560, 11571, 9066, 269, 4855, 513, 9602, 2230, 1863, 689, 19717, 267, 2673, 707, 4064, 267, 543, 7444, 1463, 707, 1445, 2509, 1585, 2694, 540, 707, 1560, 269, 18564, 1022, 9636, 610, 9395, 1145, 543, 29596, 1450, 1346, 2127, 547, 6001, 269, 3683, 942, 267, 596, 1522, 1265, 3054, 4742, 811, 10704, 267, 16135, 267, 543, 17841, 2864, 982, 19535, 547, 15128, 1107, 7592, 602, 4196, 596, 8449, 1134, 538, 1312, 3318, 543, 4357, 21384, 269, 5457, 267, 1689, 3217, 9639, 543, 18094, 282, 6529, 609, 621, 267, 543, 4585, 607, 1560, 11571, 9066, 21810, 707, 1272, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 519, 3728, 19550, 1158, 540, 1870, 267, 4466, 513, 3666, 1063, 960, 543, 2123, 1134, 5630, 666, 1419, 1745, 899, 606, 21792, 3804, 269, 1717, 267, 6220, 11009, 2853, 543, 2519, 593, 9716, 814, 1831, 5051, 3407, 538, 519, 1870, 1158, 269, 4197, 519, 2247, 23073, 4276, 543, 26724, 9716, 538, 519, 9036, 711, 1152, 10597, 7607, 855, 849, 8992, 513, 8902, 543, 18668, 960, 1604, 269, 1635, 2921, 519, 942, 547, 2015, 519, 1764, 540, 11009, 543, 9716, 538, 519, 1870, 1158, 267, 596, 666, 12260, 519, 1761, 585, 3152, 1967, 543, 20106, 538, 1312, 707, 3318, 543, 2123, 1272, 563, 763, 11588, 540, 24238, 538, 519, 6355, 2622, 454, 1103, 2221, 779, 3728, 19550, 543, 14053, 1870, 1158, 267, 6220, 11009, 2853, 666, 723, 3875, 2640, 585, 1312, 2043, 543, 3906, 269, 24238, 267, 519, 2259, 540, 1373, 4628, 1459, 543, 3222, 538, 519, 1699, 4090, 267, 814, 6591, 1713, 3007, 538, 2487, 1296, 585, 922, 2318, 1764, 593, 2790, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 590, 23852, 29803, 1315, 2405, 14591, 1315, 10610, 2480, 534, 25990, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1724, 281, 634, 9466, 13158, 281, 589, 6820, 12660, 542, 692, 5970, 596, 2479, 2938, 513, 3731, 1085, 584, 11538, 1472, 707, 18147, 610, 1256, 3330, 707, 1753, 286, 1403, 865, 267, 8458, 616, 621, 729, 513, 6960, 3731, 256, 1452, 4199, 995, 7068, 666, 581, 1336, 1175, 827, 9170, 3425, 2661, 267, 543, 789, 4312, 1500, 741, 1259, 2066, 519, 8608, 936, 5215, 540, 1296, 269, 2913, 781, 4685, 883, 519, 4241, 1158, 540, 6960, 14148, 543, 1451, 811, 827, 891, 7415, 2831, 780, 1432, 4010, 568, 513, 6960, 3731, 286, 4270, 267, 922, 3621, 2012, 568, 681, 3430, 639, 6862, 557, 11551, 639, 267, 855, 1810, 1405, 1577, 602, 25657, 596, 1107, 1004, 1419, 1289, 873, 676, 1082, 824, 4408, 899, 834, 21720, 3731, 2437, 834, 560, 22901, 3731, 2437, 834, 572, 4546, 3731, 2437, 834, 3369, 541, 325, 3731, 2437, 834, 295, 534, 1478, 3731, 2437, 543, 834, 301, 528, 3118, 3731, 1701, 6736, 2348, 1585, 12183, 12849, 267, 789, 2671, 930, 2147, 2934, 269, 16989, 6960, 14148, 2356, 2268, 1472, 476, 1556, 6279, 1279, 630, 10175, 741, 2110, 21217, 264, 543, 9260, 12341, 1063, 476, 276, 543, 476, 1240, 13728, 269, 1358, 2097, 538, 1114, 18707, 540, 6960, 543, 12457, 9663, 267, 1818, 873, 3833, 22537, 547, 741, 10450, 780, 3383, 1141, 1705, 6960, 14148, 2097, 689, 8385, 286, 20226, 3494, 789, 1101, 7902, 538, 7187, 3624, 543, 15231, 4525, 269, 3683, 942, 267, 789, 3459, 10707, 2059, 1480, 4123, 11507, 267, 5555, 10825, 2429, 5607, 543, 1287, 519, 1964, 540, 519, 1158, 269, 4653, 267, 6960, 14148, 9468, 1169, 11782, 4849, 19778, 543, 856, 15893, 1022, 824, 1826, 540, 3731, 593, 3047, 2439, 31342, 14148, 8853, 2282, 3425, 1317, 649, 16662, 1549, 958, 1683, 1426, 267, 1216, 267, 543, 12062, 2959, 585, 873, 269, 1411, 1522, 1265, 873, 2713, 538, 4610, 267, 7733, 267, 16292, 17346, 267, 2749, 10754, 267, 543, 1256, 938, 5321, 269, 2755, 1034, 4782, 9205, 5054, 267, 789, 786, 1847, 16280, 1282, 21617, 3275, 610, 950, 10478, 585, 1007, 11182, 269, 21452, 2614, 267, 972, 616, 1360, 1906, 4025, 1141, 3425, 21078, 602, 10093, 1405, 1044, 20948, 676, 6960, 14148, 1932, 780, 3086, 1934, 2501, 835, 9670, 1249, 281, 4620, 14148, 543, 2978, 14148, 616, 2965, 18939, 540, 519, 1482, 6960, 3731, 2249, 256, 3414, 16496, 9960, 267, 3425, 2813, 1079, 3982, 2010, 540, 14148, 281, 519, 834, 325, 3599, 3731, 257, 630, 320, 11537, 4620, 264, 543, 519, 834, 331, 1987, 2218, 3731, 257, 630, 4310, 538, 1271, 2564, 2090, 1040, 5808, 1131, 723, 2219, 602, 971, 18803, 20297, 1223, 1291, 547, 1312, 31070, 543, 14262, 8906, 538, 2257, 31841, 1103, 3932, 267, 6960, 14148, 3180, 513, 2189, 1747, 1851, 7320, 607, 2518, 17631, 945, 13173, 721, 3592, 10876, 649, 979, 269, 3245, 14297, 4872, 547, 9602, 24781, 17743, 902, 267, 891, 10995, 1814, 1562, 3136, 547, 3082, 543, 21707, 7258, 3425, 269, 1656, 1247, 3006, 9763, 11874, 1813, 547, 4687, 5624, 609, 721, 267, 1620, 811, 827, 741, 6909, 3460, 543, 1909, 538, 2486, 2488, 721, 609, 2943, 1776, 2601, 547, 5660, 519, 2067, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 32294, 2039, 281, 7216, 4591, 18152, 910, 10765, 454, 24820, 3552, 3731, 538, 11894, 2008, 763, 6960, 3731, 630, 305, 3430, 639, 6862, 557, 11551, 639, 1070, 849, 1634, 607, 519, 1455, 3731, 267, 8265, 3731, 267, 29326, 3731, 267, 627, 541, 325, 3731, 267, 12390, 1478, 3731, 267, 16157, 3731, 543, 21785, 3731, 267, 568, 513, 7839, 2249, 540, 1455, 3731, 269, 2290, 540, 519, 4102, 544, 1755, 1749, 267, 621, 568, 513, 6960, 610, 15454, 887, 4823, 609, 513, 2212, 543, 1560, 3259, 540, 909, 547, 476, 2764, 4699, 630, 1556, 538, 264, 1279, 267, 543, 513, 2766, 5594, 10156, 982, 602, 269, 898, 22179, 1063, 476, 9610, 543, 476, 4335, 575, 630, 275, 269, 280, 543, 476, 1704, 269, 277, 12063, 1040, 23539, 547, 723, 12090, 538, 7187, 3624, 543, 30240, 2127, 267, 713, 887, 4823, 814, 1631, 3262, 547, 782, 17407, 4849, 19778, 267, 543, 568, 519, 8789, 3731, 538, 2342, 543, 1454, 540, 3345, 3013, 269, 2060, 4686, 17756, 267, 519, 6960, 3731, 2729, 16382, 3425, 2661, 267, 3226, 538, 4683, 2127, 563, 15675, 633, 9960, 540, 519, 6960, 3731, 814, 3812, 519, 16681, 3731, 630, 337, 1846, 6854, 607, 10130, 1070, 607, 1134, 607, 519, 8047, 3731, 630, 337, 1846, 1031, 607, 2203, 7103, 538, 6211, 1382, 1040, 5637, 16681, 14148, 543, 8047, 14148, 616, 540, 519, 30042, 28849, 681, 3430, 639, 6862, 557, 11551, 639, 29143, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4019, 930, 27696, 4388, 267, 585, 3236, 519, 12844, 2536, 1258, 328, 15494, 454, 21296, 4644, 4255, 281, 519, 12844, 2536, 1258, 328, 1505, 563, 528, 519, 7301, 6602, 3928, 9013, 5650, 540, 18148, 328, 543, 670, 5255, 6199, 563, 4002, 519, 10512, 4162, 540, 519, 18148, 328, 543, 670, 5255, 6199, 7301, 6602, 2557, 5650, 563, 4322, 8579, 2409, 267, 543, 1082, 1866, 267, 2119, 547, 948, 3173, 547, 2057, 7392, 594, 6959, 538, 513, 811, 610, 1447, 15061, 1259, 267, 2495, 609, 811, 610, 1447, 7301, 2258, 2510, 630, 13911, 4083, 6959, 1040, 1284, 1590, 1832, 538, 2247, 602, 519, 2298, 540, 519, 2963, 689, 713, 1826, 540, 2079, 568, 1970, 543, 621, 1590, 581, 9672, 609, 1808, 1134, 2966, 1382, 563, 1103, 1840, 267, 649, 1590, 2232, 519, 1883, 1448, 540, 1757, 1275, 267, 1317, 513, 1713, 9756, 2078, 1281, 711, 17538, 1757, 566, 267, 799, 3112, 581, 7150, 609, 513, 1808, 8579, 1449, 269, 2311, 713, 1448, 267, 649, 1590, 3277, 547, 519, 17659, 5112, 10830, 7355, 4171, 10220, 3947, 1344, 827, 513, 2009, 21465, 2078, 912, 763, 17659, 5112, 10830, 9270, 593, 1757, 1275, 281, 513, 4831, 2399, 783, 5133, 563, 560, 31104, 540, 7681, 630, 1492, 6793, 519, 7681, 267, 519, 811, 2693, 972, 568, 513, 21465, 2078, 5148, 11007, 630, 1492, 2078, 568, 4767, 14578, 5148, 23506, 630, 320, 2016, 3815, 568, 1644, 4481, 547, 513, 2189, 1198, 282, 713, 21205, 568, 711, 16601, 1317, 2356, 1114, 3123, 666, 3132, 1114, 2360, 5148, 9389, 1275, 630, 1492, 2014, 1590, 9551, 324, 519, 1198, 282, 713, 666, 1152, 581, 9672, 609, 513, 17053, 1374, 5148, 6211, 13506, 630, 27463, 1162, 538, 519, 4598, 2333, 519, 9588, 540, 519, 1198, 5148, 23710, 2225, 630, 1492, 7681, 1590, 581, 21230, 6045, 5148, 25843, 630, 1492, 1198, 1590, 581, 17396, 2687, 547, 1699, 1702, 5148, 1374, 540, 519, 1353, 630, 534, 22423, 3444, 3296, 531, 3140, 1353, 568, 711, 547, 519, 1482, 607, 513, 4351, 2213, 6417, 4693, 5148, 21658, 630, 13678, 1791, 4093, 723, 2907, 3812, 2147, 2360, 1040, 634, 22920, 540, 782, 8370, 7355, 568, 3592, 7543, 1813, 547, 1114, 2042, 602, 1223, 581, 1644, 547, 519, 1374, 540, 519, 1353, 267, 519, 4162, 540, 519, 4093, 267, 1699, 1702, 267, 610, 1022, 824, 7355, 1644, 547, 519, 1808, 8367, 269, 1717, 267, 513, 2518, 6268, 540, 891, 7355, 1058, 2709, 721, 1344, 547, 14353, 610, 8969, 513, 1757, 1275, 2078, 563, 1103, 3932, 267, 649, 1590, 581, 18762, 950, 30228, 2789, 19165, 17065, 7458, 689, 513, 6538, 267, 676, 3843, 547, 16174, 1063, 3020, 543, 838, 21874, 3347, 269, 634, 946, 540, 930, 2553, 666, 948, 721, 1118, 5923, 518, 3664, 269, 13038, 8367, 4152, 666, 581, 513, 1434, 1259, 547, 5352, 3621, 2055, 267, 2705, 891, 1590, 581, 9672, 2663, 609, 1808, 2090, 269, 634, 946, 540, 19175, 1947, 10805, 12240, 5059, 593, 840, 20452, 6859, 568, 519, 1655, 1259, 547, 2253, 938, 1382, 269, 7053, 267, 8753, 827, 1757, 1275, 3112, 581, 7150, 1759, 593, 513, 2582, 8579, 1449, 543, 930, 1883, 7355, 1058, 581, 2808, 1354, 7682, 532, 519, 2014, 543, 1198, 2078, 563, 13775, 2228, 281, 5239, 476, 1789, 267, 476, 1001, 279, 454, 15100, 476, 1001, 279, 3864, 5980, 585, 966, 6018, 17889, 269, 15618, 676, 29021, 645, 17679, 269, 0, 257, 5319, 11602, 14878, 340, 4302, 568, 519, 2228, 6392, 585, 782, 1919, 14878, 340, 4302, 267, 2854, 676, 519, 1004, 945, 917, 519, 2749, 1655, 3034, 300, 6702, 718, 28137, 1765, 516, 572, 2117, 615, 543, 16073, 267, 23711, 454, 288, 742, 559, 7007, 609, 519, 10871, 3778, 8416, 540, 519, 3557, 8466, 5980, 540, 19578, 267, 543, 519, 19578, 7467, 5948, 563, 295, 8780, 3036, 2975, 11553, 2464, 27263, 9569, 10758, 291, 2562, 23814, 454, 295, 8780, 3036, 2975, 11553, 2464, 27263, 9569, 10758, 291, 2562, 23814, 269, 2991, 513, 1974, 540, 772, 305, 289, 3198, 681, 2894, 11246, 3201, 538, 519, 2146, 543, 513, 6284, 540, 519, 3441, 602, 1185, 1044, 2944, 267, 519, 14878, 340, 4302, 4975, 7027, 5293, 513, 19866, 27264, 18103, 12099, 538, 476, 3192, 278, 543, 4646, 513, 19866, 27264, 8189, 538, 476, 3192, 280, 269, 630, 272, 994, 4910, 6342, 540, 12059, 543, 1325, 18090, 5254, 12767, 4811, 8604, 8348, 538, 2904, 476, 3192, 280, 547, 723, 741, 8378, 1831, 519, 1101, 3140, 11091, 8664, 538, 519, 2749, 269, 634, 8978, 11091, 10243, 1131, 4363, 519, 7662, 585, 25084, 607, 606, 8978, 8664, 547, 519, 2749, 14643, 1310, 519, 21936, 729, 4607, 269, 634, 25084, 1131, 581, 1500, 952, 1100, 1843, 687, 941, 1500, 269, 634, 12059, 543, 1325, 18090, 8378, 729, 519, 1101, 540, 5722, 538, 519, 2749, 5497, 585, 519, 25084, 2813, 676, 519, 14878, 340, 4302, 8466, 27264, 8189, 669, 8529, 676, 595, 269, 6723, 19739, 3008, 296, 269, 634, 11091, 3921, 12099, 729, 519, 1101, 540, 922, 2186, 538, 19578, 269, 630, 273, 994, 289, 16078, 918, 337, 643, 529, 4486, 267, 5449, 2749, 1544, 1676, 538, 8895, 6511, 267, 13325, 543, 22639, 547, 519, 10243, 267, 6045, 519, 21427, 2877, 513, 15149, 540, 3261, 520, 8864, 689, 519, 11091, 10243, 952, 2242, 941, 9709, 547, 519, 16538, 540, 741, 5321, 269, 1403, 519, 1753, 26782, 781, 1544, 941, 15653, 267, 519, 10243, 543, 1753, 26782, 1131, 3715, 8925, 269, 634, 11091, 3921, 12099, 1705, 711, 2154, 9283, 547, 513, 2679, 269, 634, 3921, 12099, 729, 5497, 547, 2149, 519, 8378, 689, 1007, 4070, 711, 15095, 609, 519, 4540, 5656, 269, 15329, 2209, 941, 1641, 547, 476, 1789, 2395, 538, 21569, 610, 513, 5386, 909, 547, 1269, 1911, 269, 630, 274, 994, 21980, 3894, 9862, 689, 519, 5313, 13623, 540, 519, 25181, 543, 24184, 543, 12124, 4886, 3769, 281, 630, 275, 994, 272, 264, 5272, 10257, 4674, 4927, 581, 1500, 547, 946, 519, 3312, 2679, 585, 922, 5497, 3483, 610, 513, 15095, 835, 563, 273, 264, 634, 3312, 610, 4540, 2298, 540, 513, 2679, 543, 922, 1604, 4927, 711, 581, 10032, 563, 274, 264, 2353, 5656, 267, 3889, 543, 4609, 1058, 581, 2472, 540, 741, 1378, 942, 269, 2353, 5656, 2348, 1100, 3140, 4644, 602, 2119, 547, 9446, 606, 4505, 1974, 1058, 581, 27209, 563, 275, 264, 15448, 602, 949, 723, 7018, 538, 942, 616, 2963, 540, 1646, 269, 1452, 2242, 723, 741, 1378, 4644, 543, 4927, 581, 15197, 585, 602, 563, 276, 264, 5940, 3307, 633, 30031, 2934, 610, 16538, 5578, 8154, 540, 513, 3135, 4927, 581, 5701, 609, 8417, 563, 277, 264, 667, 2678, 1640, 730, 3312, 2934, 4927, 581, 30465, 2864, 982, 8719, 8164, 2009, 563, 278, 264, 17183, 7738, 540, 3889, 1058, 581, 2944, 607, 9900, 607, 2009, 269, 10613, 602, 3441, 267, 971, 607, 5070, 4565, 8463, 267, 4927, 711, 581, 17298, 563, 279, 264, 12634, 1374, 585, 1007, 3889, 543, 23937, 547, 4540, 3959, 568, 711, 27209, 950, 789, 616, 15095, 609, 519, 4540, 2497, 563, 272, 269, 16026, 267, 23436, 17286, 514, 267, 834, 29587, 1299, 31522, 2437, 27264, 281, 634, 18225, 540, 519, 2817, 11565, 585, 19866, 27264, 267, 12096, 267, 476, 1001, 279, 267, 533, 269, 476, 3607, 454, 273, 269, 14717, 4526, 267, 13690, 269, 834, 23612, 25575, 18090, 9351, 21969, 3699, 19866, 5071, 566, 267, 1855, 25393, 670, 14283, 267, 2904, 476, 2537, 267, 476, 3192, 280, 267, 533, 269, 476, 279, 0, 307, 684, 601, 838, 14505, 263, 7203, 1690, 5271, 334, 20658, 6773, 12467, 763, 7203, 1690, 5271, 334, 20658, 6773, 630, 289, 657, 333, 1014, 267, 23886, 1014, 543, 5395, 15487, 281, 7203, 1690, 5271, 24989, 7113, 601, 1315, 29112, 3522, 13077, 397, 502, 3264, 8563, 4736, 24012, 476, 4344, 7846, 4709, 3264, 6459, 1070, 849, 1634, 607, 20658, 601, 838, 14505, 630, 396, 351, 7846, 4709, 3264, 6459, 11012, 10528, 3522, 4736, 3522, 267, 2296, 281, 20658, 6773, 540, 15063, 264, 543, 20658, 6773, 540, 16593, 267, 729, 513, 15993, 9112, 1063, 4728, 543, 4873, 476, 1960, 274, 1282, 519, 27119, 613, 540, 7203, 1690, 5271, 334, 538, 519, 22984, 540, 519, 18548, 333, 1014, 2782, 269, 898, 729, 3710, 676, 519, 18548, 333, 1014, 8136, 538, 1931, 547, 3095, 519, 2749, 540, 7203, 1690, 5271, 334, 267, 799, 729, 7357, 2759, 1055, 676, 5395, 15487, 4229, 267, 609, 18548, 333, 1014, 13463, 671, 8513, 593, 519, 824, 2427, 540, 519, 7203, 1690, 5271, 334, 23076, 267, 606, 1858, 6417, 676, 519, 2136, 8315, 563, 763, 15993, 5532, 519, 7203, 1690, 5271, 334, 29117, 338, 540, 667, 984, 12541, 10937, 543, 1809, 18029, 630, 15130, 621, 519, 2012, 834, 307, 684, 6773, 667, 5174, 19823, 3850, 1426, 267, 2112, 7727, 267, 543, 19493, 5351, 547, 2097, 883, 519, 2749, 267, 543, 3850, 1004, 547, 1205, 856, 269, 634, 15993, 2968, 513, 2101, 1259, 540, 21271, 532, 519, 3486, 7916, 2377, 14417, 543, 3246, 519, 2749, 9718, 619, 609, 14049, 787, 269, 0, 763, 667, 867, 690, 928, 1862, 332, 1276, 811, 982, 1175, 513, 5757, 2336, 763, 476, 4366, 274, 10275, 332, 17489, 667, 867, 690, 928, 568, 519, 11359, 13074, 5757, 538, 5333, 269, 634, 5757, 14380, 593, 519, 1166, 3471, 540, 519, 623, 8500, 632, 590, 3599, 543, 267, 693, 519, 645, 1815, 546, 685, 288, 3387, 11726, 338, 267, 621, 12388, 525, 609, 519, 24360, 7297, 540, 519, 12275, 517, 928, 1141, 1927, 789, 1106, 519, 1609, 4231, 540, 519, 12852, 27475, 269, 769, 2474, 540, 9249, 543, 2249, 267, 519, 6952, 618, 1858, 540, 519, 667, 867, 690, 928, 19646, 513, 3638, 267, 4129, 1881, 543, 3810, 15926, 5703, 6561, 269, 11153, 30118, 1738, 2249, 2713, 972, 9414, 713, 281, 3864, 588, 25973, 517, 267, 13687, 267, 17333, 1562, 1862, 634, 667, 867, 690, 928, 568, 513, 2067, 3135, 10805, 896, 14844, 3120, 476, 1220, 271, 543, 922, 3003, 6952, 618, 568, 7396, 607, 513, 20648, 4437, 14459, 15944, 563, 5804, 7984, 1998, 547, 31410, 345, 659, 454, 2691, 621, 10301, 519, 623, 904, 632, 19161, 518, 659, 2282, 519, 8498, 540, 7984, 1998, 267, 519, 667, 867, 690, 928, 11097, 839, 543, 3587, 1447, 32357, 269, 9737, 2274, 11370, 24480, 11546, 4211, 611, 537, 514, 543, 700, 531, 785, 324, 267, 922, 2312, 7297, 723, 20406, 20077, 856, 519, 4224, 2094, 942, 1799, 655, 3645, 543, 723, 4646, 11141, 803, 32752, 536, 23912, 676, 30917, 281, 519, 595, 17532, 540, 700, 830, 340, 559, 543, 519, 595, 17532, 540, 2558, 2946, 28485, 520, 269, 13966, 519, 3723, 540, 519, 30917, 267, 519, 5757, 2488, 12062, 543, 1426, 585, 513, 3984, 540, 13617, 539, 7068, 267, 607, 519, 1604, 568, 12560, 281, 26414, 267, 1200, 976, 267, 737, 2572, 267, 4622, 325, 29913, 267, 2220, 753, 267, 1455, 1071, 1824, 267, 524, 768, 528, 1218, 267, 6067, 15816, 267, 19838, 28905, 1862, 1879, 621, 10301, 700, 830, 340, 559, 267, 7396, 607, 835, 540, 519, 2048, 7197, 27202, 16645, 1137, 538, 5333, 8730, 519, 667, 867, 690, 928, 2220, 20635, 609, 519, 7297, 540, 519, 966, 2946, 345, 27056, 799, 267, 1991, 547, 21945, 1934, 267, 814, 849, 4988, 1390, 2666, 269, 634, 667, 867, 690, 928, 1287, 10301, 31410, 345, 659, 779, 3573, 1560, 540, 1216, 1141, 621, 8255, 883, 513, 2481, 3710, 693, 519, 4098, 540, 519, 476, 736, 628, 2540, 563, 12988, 538, 519, 2395, 540, 24654, 1216, 3118, 6283, 1862, 5228, 31410, 345, 659, 547, 19161, 518, 659, 454, 4002, 519, 824, 2427, 540, 519, 2823, 267, 513, 9376, 7436, 519, 13675, 540, 519, 667, 867, 690, 928, 779, 2427, 8756, 2433, 713, 476, 1428, 10275, 559, 2210, 516, 17489, 5989, 267, 22041, 538, 519, 1647, 540, 519, 476, 866, 628, 2540, 267, 13087, 968, 326, 629, 541, 637, 892, 630, 10177, 6463, 6366, 1532, 2714, 15701, 16996, 264, 547, 3914, 16515, 8270, 11726, 637, 9108, 267, 607, 789, 14284, 519, 12194, 727, 22850, 1749, 540, 519, 9835, 774, 648, 339, 267, 540, 519, 6182, 9850, 572, 543, 519, 623, 525, 4302, 344, 709, 343, 609, 922, 19416, 15743, 267, 519, 595, 9567, 984, 516, 269, 1879, 519, 1216, 729, 1164, 267, 5230, 524, 1173, 3996, 540, 3574, 267, 24799, 267, 1957, 267, 4401, 543, 25299, 3812, 538, 519, 3148, 267, 607, 1134, 607, 6070, 267, 4006, 543, 14546, 799, 941, 15069, 689, 2484, 1673, 9665, 3338, 1862, 9132, 539, 676, 25318, 543, 19654, 2507, 3973, 519, 16749, 8452, 593, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2111, 547, 723, 1453, 1210, 20033, 5798, 610, 12680, 5574, 269, 19612, 3123, 540, 16349, 25073, 5821, 1331, 513, 14524, 540, 519, 30124, 610, 607, 513, 10835, 689, 1776, 2101, 4576, 899, 5410, 2581, 779, 2068, 269, 1717, 267, 1082, 2021, 723, 21245, 3119, 25073, 1202, 340, 11797, 799, 1797, 602, 519, 2014, 568, 4625, 7164, 563, 763, 1034, 1455, 1101, 10835, 540, 16349, 25073, 5821, 616, 14406, 610, 1236, 5792, 5712, 269, 4014, 513, 14406, 1974, 4523, 693, 930, 1448, 538, 1034, 4807, 779, 2729, 267, 2021, 945, 616, 3843, 547, 1205, 9176, 543, 2356, 616, 2834, 1058, 3346, 513, 14934, 31037, 6048, 610, 4387, 950, 789, 1376, 1236, 6235, 5712, 563, 8448, 1455, 2589, 602, 2049, 1310, 513, 1236, 5792, 1974, 1331, 22485, 3023, 5397, 267, 3905, 30303, 267, 24852, 998, 9660, 950, 3843, 547, 3207, 610, 968, 9519, 4418, 1846, 5608, 8373, 23622, 267, 811, 3362, 606, 13499, 982, 8912, 543, 1928, 1282, 4638, 26697, 269, 1452, 616, 849, 519, 2589, 540, 22797, 563, 6097, 547, 519, 661, 684, 823, 17394, 1744, 18182, 2817, 4659, 540, 4132, 2657, 543, 5274, 4886, 267, 1063, 476, 276, 260, 547, 476, 1015, 260, 540, 2021, 8995, 609, 16349, 25073, 5821, 10393, 723, 8647, 30124, 1586, 543, 666, 1205, 9176, 269, 3807, 1946, 891, 21245, 1121, 3827, 2049, 547, 891, 2021, 568, 7164, 563, 18131, 945, 723, 513, 3119, 2783, 899, 5410, 2581, 779, 2068, 949, 1831, 15417, 952, 741, 4576, 568, 5701, 6707, 563, 295, 768, 821, 10682, 3797, 568, 1419, 519, 1152, 2126, 2139, 269, 1452, 616, 519, 1482, 10399, 602, 616, 11311, 585, 4587, 2021, 2469, 998, 22797, 269, 6468, 616, 849, 5227, 547, 2333, 741, 7513, 543, 6171, 667, 2094, 21110, 2337, 609, 5642, 1072, 269, 6468, 609, 22797, 3668, 21110, 563, 7712, 530, 558, 2125, 616, 1869, 6198, 267, 930, 2021, 945, 1616, 547, 1205, 9176, 946, 20033, 5798, 2094, 789, 3668, 5798, 269, 0, 3849, 738, 4065, 538, 519, 8498, 3217, 593, 1082, 3029, 282, 621, 949, 1935, 519, 2596, 1920, 3889, 543, 4205, 540, 1920, 14422, 267, 971, 607, 2069, 267, 2085, 540, 7365, 267, 942, 543, 4199, 2359, 282, 621, 949, 1445, 593, 1007, 2409, 540, 7607, 538, 8105, 998, 1895, 2866, 282, 621, 849, 267, 689, 942, 547, 942, 267, 14439, 1808, 5396, 799, 1764, 513, 3099, 540, 3885, 610, 4079, 543, 6770, 1346, 1004, 1927, 945, 616, 5461, 538, 4466, 513, 1732, 3070, 563, 2304, 1383, 540, 2937, 2069, 568, 3362, 2938, 950, 3168, 693, 519, 1101, 1906, 1296, 540, 938, 18756, 1995, 269, 2290, 540, 519, 1360, 1101, 3785, 729, 547, 3715, 513, 2890, 1922, 13361, 1047, 2508, 547, 4217, 2021, 547, 7119, 538, 519, 4346, 269, 634, 24284, 540, 519, 2508, 729, 711, 7199, 585, 621, 729, 711, 513, 1804, 2508, 269, 1717, 519, 2866, 2838, 585, 519, 2937, 2021, 945, 1185, 2760, 1185, 519, 5539, 540, 513, 10211, 540, 1022, 2186, 267, 519, 5539, 547, 23231, 543, 10862, 547, 1683, 585, 2104, 23700, 729, 513, 2101, 2866, 4674, 585, 713, 1895, 269, 589, 2034, 1808, 2866, 799, 814, 3144, 1747, 267, 799, 729, 1788, 20218, 267, 729, 519, 4677, 2866, 610, 2146, 10651, 270, 18145, 7770, 4677, 1523, 799, 729, 5189, 547, 519, 8498, 2021, 543, 799, 814, 4547, 1454, 3007, 547, 519, 3646, 540, 717, 4696, 15057, 269, 589, 3791, 1383, 540, 2937, 2069, 568, 2047, 1644, 547, 519, 10800, 1788, 269, 634, 5817, 3390, 540, 519, 10800, 1788, 729, 1079, 19507, 835, 1373, 1072, 1644, 1813, 547, 519, 8244, 540, 5144, 689, 513, 5265, 25374, 585, 918, 1803, 519, 2034, 1373, 2804, 1644, 547, 798, 519, 1761, 547, 6133, 3063, 5144, 855, 519, 10800, 1131, 3132, 519, 10800, 1788, 729, 5059, 593, 3885, 945, 5892, 1185, 1360, 2370, 610, 1100, 1995, 12391, 585, 513, 10800, 543, 849, 1185, 1360, 2370, 1995, 2324, 1927, 538, 513, 1895, 585, 513, 1455, 2014, 610, 3483, 563, 5472, 540, 891, 2937, 2069, 3255, 2838, 2043, 267, 945, 1185, 5030, 1272, 538, 606, 1604, 799, 2838, 873, 547, 1491, 1416, 540, 2933, 547, 556, 268, 1451, 930, 540, 1272, 779, 4245, 547, 2744, 513, 2146, 2070, 267, 602, 540, 2324, 1927, 267, 21528, 1142, 824, 267, 2921, 5539, 585, 19647, 547, 1866, 543, 13197, 513, 1455, 3804, 896, 6074, 2199, 3401, 269, 2755, 649, 538, 519, 4639, 949, 1294, 4986, 8966, 827, 713, 6073, 540, 2679, 2146, 1312, 607, 513, 13664, 1599, 543, 607, 513, 4305, 610, 6364, 20218, 1599, 267, 585, 519, 1004, 538, 519, 8498, 621, 568, 513, 2898, 1007, 1259, 540, 1272, 563, 22818, 267, 1498, 267, 519, 1034, 1271, 610, 5732, 519, 1034, 6422, 3390, 540, 2937, 2069, 568, 2047, 1644, 547, 519, 2069, 540, 741, 1453, 267, 9870, 519, 10862, 267, 8716, 1007, 6208, 267, 1224, 3286, 532, 4199, 10862, 543, 2921, 851, 538, 519, 2069, 1184, 538, 513, 811, 1463, 543, 6422, 1259, 269, 1280, 519, 3237, 543, 1346, 3743, 585, 519, 1762, 1004, 945, 616, 1869, 538, 519, 2069, 269, 2986, 1272, 1565, 875, 547, 581, 519, 2385, 540, 513, 2875, 568, 513, 23773, 4305, 269, 7316, 1175, 513, 1906, 1296, 3516, 267, 538, 930, 2665, 513, 1906, 3275, 267, 519, 1920, 10862, 729, 512, 2056, 519, 4610, 512, 2056, 519, 23161, 11018, 519, 1216, 12391, 585, 519, 1507, 1453, 282, 10838, 782, 540, 519, 8897, 2501, 1631, 513, 1007, 10862, 267, 513, 1101, 10862, 269, 3689, 585, 942, 1101, 585, 3007, 543, 1101, 585, 4199, 269, 3447, 908, 3885, 543, 6905, 3885, 593, 519, 2956, 540, 6905, 2069, 267, 602, 1373, 6905, 2250, 519, 21632, 3446, 267, 814, 1044, 543, 5170, 547, 581, 513, 2565, 3095, 538, 519, 2146, 779, 2208, 519, 2146, 779, 4656, 543, 519, 2146, 779, 7589, 538, 519, 6932, 2528, 1312, 2199, 543, 3084, 563, 2005, 949, 3100, 513, 2016, 585, 721, 855, 18997, 519, 4079, 267, 3237, 267, 519, 2146, 543, 10962, 873, 547, 1007, 3631, 540, 10862, 543, 2324, 1927, 896, 2199, 5718, 568, 513, 2565, 5748, 540, 782, 649, 4126, 585, 538, 713, 4674, 269, 0, 3201, 7246, 9634, 13321, 12210, 15270, 454, 22349, 1258, 12002, 1336, 602, 3742, 5182, 5250, 909, 1873, 20635, 15270, 267, 899, 13803, 2337, 3694, 4473, 269, 4635, 1614, 3532, 24985, 593, 519, 2666, 543, 538, 10739, 267, 789, 4767, 15270, 689, 476, 1556, 5479, 1296, 3516, 543, 1336, 23292, 5250, 540, 6801, 538, 519, 23780, 540, 15270, 269, 901, 5267, 602, 15270, 666, 1689, 741, 1378, 3337, 1510, 5872, 609, 824, 15270, 563, 8138, 17524, 9014, 6329, 9571, 609, 9338, 7246, 616, 3254, 538, 519, 2451, 267, 10834, 519, 4087, 540, 10053, 7452, 543, 3154, 1141, 6801, 616, 1373, 4646, 269, 30677, 543, 18342, 1769, 2938, 609, 519, 26931, 6611, 23571, 616, 3254, 538, 519, 1647, 543, 1318, 267, 6606, 269, 589, 1804, 7523, 12519, 12210, 568, 2938, 538, 18342, 267, 1247, 1614, 1762, 5182, 13421, 616, 2938, 538, 9804, 1769, 563, 290, 13072, 281, 9338, 7246, 630, 2464, 302, 270, 2793, 302, 297, 21610, 6938, 302, 1070, 8331, 270, 2464, 288, 26931, 6611, 23571, 267, 570, 611, 13403, 1696, 620, 563, 257, 22709, 633, 14248, 18967, 673, 15270, 616, 5156, 547, 581, 4646, 689, 21611, 540, 12210, 15270, 2437, 1767, 8230, 268, 24734, 570, 611, 13403, 267, 519, 1291, 2278, 540, 1079, 1382, 4574, 543, 513, 2022, 4777, 28118, 11001, 693, 519, 2817, 13562, 13929, 25076, 540, 3567, 630, 2793, 302, 297, 1040, 834, 3719, 267, 621, 568, 7334, 2436, 782, 519, 14248, 18967, 673, 15270, 723, 4810, 14925, 16580, 269, 1703, 949, 581, 606, 4244, 2619, 4799, 288, 574, 532, 547, 1174, 7523, 12519, 23009, 2670, 267, 519, 3486, 2319, 8268, 11397, 15270, 476, 1556, 5479, 1769, 26188, 2476, 269, 5221, 621, 3217, 942, 585, 519, 1769, 689, 11397, 3615, 547, 3914, 721, 267, 676, 11287, 15270, 476, 1556, 5479, 1769, 26188, 2476, 267, 519, 2319, 666, 1294, 1018, 519, 17807, 6743, 899, 476, 1556, 5479, 1296, 3516, 267, 476, 274, 5479, 1296, 1310, 519, 8262, 10854, 269, 901, 14687, 519, 8445, 22184, 540, 14925, 5250, 282, 519, 13210, 540, 1034, 15270, 941, 4646, 538, 713, 22184, 563, 3725, 576, 1516, 25861, 1769, 799, 814, 24964, 476, 1556, 5479, 1296, 568, 9157, 960, 269, 634, 2319, 10244, 539, 519, 1379, 540, 1614, 24985, 547, 20133, 558, 1125, 519, 3504, 15270, 269, 3689, 267, 789, 1031, 19364, 302, 297, 781, 476, 279, 269, 273, 2173, 4427, 541, 340, 23571, 538, 11316, 319, 328, 543, 13603, 856, 476, 1839, 15270, 538, 713, 22184, 269, 3973, 789, 6098, 519, 15270, 585, 7422, 609, 8331, 270, 2464, 288, 781, 26931, 6611, 23571, 630, 295, 4306, 264, 543, 519, 2311, 659, 4821, 14066, 7085, 9014, 4882, 889, 17524, 9014, 26275, 630, 3201, 7246, 1916, 763, 19936, 1031, 670, 4306, 547, 7001, 519, 1769, 689, 6801, 799, 6645, 721, 519, 834, 9690, 257, 630, 553, 540, 950, 519, 1769, 729, 19501, 267, 476, 1556, 5479, 1296, 3516, 264, 3337, 540, 519, 15270, 267, 1247, 9338, 7246, 4767, 1016, 17524, 9014, 6329, 689, 4411, 12269, 540, 3154, 543, 7452, 267, 1141, 1007, 6801, 616, 1373, 4646, 269, 1635, 9256, 519, 1079, 267, 649, 917, 519, 5546, 540, 519, 15270, 476, 1556, 5479, 1296, 3516, 543, 875, 789, 616, 9687, 563, 12552, 547, 741, 1164, 6571, 267, 670, 4306, 543, 9338, 7246, 1223, 9414, 519, 23009, 2670, 540, 519, 15270, 269, 2060, 670, 4306, 2592, 519, 2319, 1336, 602, 513, 12210, 5057, 2531, 7149, 519, 15270, 269, 11531, 267, 519, 9338, 7246, 2592, 1397, 602, 972, 568, 513, 7372, 13111, 540, 3154, 543, 7452, 267, 519, 1570, 540, 6801, 267, 865, 602, 6801, 616, 8108, 1360, 8362, 269, 634, 5182, 5250, 2534, 568, 865, 1164, 602, 5458, 2338, 540, 6801, 786, 581, 4646, 693, 519, 7740, 540, 519, 15270, 269, 901, 5012, 519, 19936, 547, 1589, 602, 6038, 519, 15270, 786, 581, 13856, 676, 519, 24974, 4439, 613, 543, 1831, 14248, 18967, 673, 610, 21378, 7781, 15270, 563, 257, 2080, 267, 649, 5833, 6109, 2963, 602, 10053, 7523, 12519, 23780, 666, 581, 4646, 1510, 14925, 21611, 269, 1358, 666, 849, 581, 4646, 676, 7920, 5182, 5250, 538, 519, 2295, 540, 519, 14925, 1701, 1767, 570, 611, 13403, 269, 634, 2319, 1031, 519, 3864, 8828, 25076, 781, 15020, 14066, 23571, 547, 7747, 519, 3077, 15270, 543, 9672, 602, 972, 616, 1100, 23053, 540, 7372, 14925, 21611, 563, 29909, 476, 1911, 1296, 3516, 267, 1977, 31485, 3798, 7773, 26931, 11827, 519, 24466, 8760, 10325, 585, 15270, 269, 4595, 1287, 267, 1082, 19936, 723, 13991, 9645, 4674, 547, 1620, 519, 5169, 540, 519, 3099, 538, 14925, 5546, 269, 22034, 519, 1034, 4359, 24985, 267, 2413, 19936, 723, 2097, 835, 1900, 6251, 547, 6061, 519, 13655, 540, 15270, 563, 763, 1382, 2319, 2818, 616, 281, 8230, 268, 24734, 570, 611, 13403, 630, 16655, 268, 23945, 1188, 268, 9743, 3482, 585, 6987, 337, 831, 14111, 8212, 1496, 6573, 292, 316, 270, 13233, 13562, 13929, 25076, 540, 3567, 1496, 2793, 302, 297, 25818, 22365, 14551, 2637, 29992, 630, 6573, 292, 270, 17206, 540, 4993, 267, 20588, 1070, 570, 611, 599, 25431, 918, 617, 4821, 630, 2793, 302, 297, 270, 763, 23958, 2160, 585, 11628, 5525, 1496, 306, 10498, 2894, 6395, 296, 3910, 1677, 327, 18602, 2160, 1070, 853, 6359, 333, 654, 8500, 1206, 630, 17206, 540, 24872, 1070, 14667, 12598, 333, 3930, 7288, 630, 6573, 292, 1070, 14844, 553, 15939, 631, 269, 674, 334, 518, 3122, 5576, 516, 9200, 630, 6573, 292, 1070, 27055, 553, 8738, 330, 1068, 630, 6573, 292, 13624, 644, 23143, 7665, 574, 27482, 2160, 1070, 22361, 760, 18999, 630, 6573, 292, 1070, 27692, 808, 269, 570, 659, 935, 328, 630, 6573, 292, 1070, 4144, 2678, 700, 583, 345, 630, 6573, 292, 1070, 11184, 1470, 13852, 328, 630, 6573, 292, 1070, 9400, 594, 269, 5096, 625, 630, 6573, 292, 1070, 645, 684, 14623, 670, 1846, 4157, 1228, 630, 763, 2160, 540, 19519, 1070, 16549, 7776, 15917, 20076, 630, 2793, 302, 297, 1070, 30954, 334, 4173, 516, 571, 4211, 600, 639, 630, 6573, 292, 1070, 1924, 327, 594, 22894, 20076, 630, 17206, 540, 717, 1258, 532, 523, 1070, 1744, 580, 2131, 328, 769, 537, 324, 630, 763, 2160, 540, 19519, 1070, 918, 582, 16619, 918, 2129, 7224, 630, 763, 2160, 540, 19519, 1070, 962, 2224, 328, 918, 1195, 4821, 630, 2793, 302, 297, 1070, 808, 269, 7066, 341, 528, 21780, 601, 630, 6573, 292, 1315, 32400, 7665, 574 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 7117, 19617, 540, 2063, 318, 336, 7545, 1627, 9517, 281, 7726, 9517, 14632, 24143, 281, 1003, 2953, 270, 11133, 8942, 14632, 11261, 667, 821, 692, 9223, 7956, 692, 13548, 29250, 692, 20055, 7956, 454, 5719, 30132, 692, 1892, 1411, 666, 3801, 513, 2243, 607, 1082, 2053, 607, 596, 899, 563, 1892, 1403, 596, 616, 29429, 538, 267, 707, 1101, 3801, 267, 1142, 1554, 267, 568, 29429, 563, 1892, 1677, 2087, 707, 8464, 267, 2097, 1394, 593, 2104, 2395, 267, 2845, 538, 543, 556, 28273, 519, 2055, 602, 3361, 596, 2042, 563, 1892, 769, 519, 3446, 1433, 267, 596, 666, 18419, 707, 4267, 585, 513, 1888, 1354, 556, 1673, 21749, 519, 2055, 269, 3680, 18111, 1154, 8259, 596, 20053, 556, 1673, 21749, 519, 2055, 1360, 4166, 269, 0, 22069, 1903, 676, 4948, 20412, 566, 2593, 692, 272, 269, 4855, 519, 2547, 1455, 14009, 610, 700, 13967, 540, 519, 1079, 32159, 912, 9448, 300, 540, 476, 3583, 543, 476, 3445, 568, 476, 30697, 454, 273, 269, 1280, 519, 476, 272, 560, 6824, 267, 2094, 476, 3583, 6398, 476, 280, 815, 476, 30697, 2676, 2190, 270, 3583, 815, 476, 2190, 6398, 476, 280, 270, 3583, 6398, 476, 280, 815, 476, 21327, 270, 30697, 454, 274, 269, 19452, 267, 585, 519, 476, 273, 526, 6824, 267, 2094, 476, 3445, 6398, 476, 278, 815, 476, 30697, 2676, 275, 270, 3445, 815, 476, 275, 6398, 476, 278, 270, 3445, 6398, 476, 278, 815, 476, 2764, 270, 30697, 0, 258, 8212, 630, 5456, 17698, 264, 31280, 692, 7343, 28508, 1299, 3798, 1243, 676, 1160, 3682, 12028, 32000, 12243, 454, 763, 21107, 2319, 693, 1160, 3682, 12028, 13658, 8240, 5161, 540, 513, 2824, 1895, 540, 1641, 4966, 267, 31851, 5830, 267, 543, 7688, 18544, 945, 723, 30363, 936, 476, 1015, 267, 1822, 17118, 3144, 676, 811, 982, 476, 1911, 2929, 3755, 269, 901, 2319, 2882, 938, 538, 27440, 19023, 7688, 15645, 2209, 543, 1641, 2339, 4966, 269, 3776, 21107, 4966, 267, 3262, 2066, 519, 1158, 267, 616, 22759, 3585, 8036, 1210, 938, 3102, 4808, 547, 2327, 602, 596, 4309, 519, 5207, 2298, 17118, 563, 347, 1635, 2637, 3780, 12118, 454, 294, 454, 7049, 3780, 12118, 454, 26322, 19928, 12460, 454, 5226, 714, 8240, 23095, 281, 476, 272, 1923, 11192, 28055, 338, 281, 476, 273, 267, 4366, 280, 454, 26524, 281, 476, 11025, 1923, 28055, 338, 281, 476, 273, 267, 4366, 280, 692, 306, 9116, 902, 692, 17780, 2201, 30312, 17698, 8212, 1576, 692, 1892, 476, 272, 780, 2162, 1548, 568, 519, 3830, 585, 960, 2944, 281, 865, 20796, 298, 667, 24535, 284, 692, 4403, 265, 323, 2700, 454, 4403, 16611, 676, 3845, 454, 15008, 454, 763, 3830, 585, 960, 2944, 568, 2016, 676, 3196, 16611, 676, 3845, 269, 901, 1797, 602, 960, 2944, 568, 3160, 547, 519, 1587, 540, 519, 3196, 4294, 593, 606, 1843, 543, 519, 3845, 936, 799, 519, 3196, 568, 4294, 269, 901, 3830, 3067, 5809, 519, 2179, 540, 1648, 11843, 547, 610, 689, 606, 1843, 607, 513, 1267, 540, 519, 3196, 25116, 593, 621, 780, 31948, 713, 2243, 1384, 1892, 476, 273, 780, 2162, 630, 2224, 262, 317, 262, 585, 1379, 540, 264, 28415, 519, 10252, 26517, 3830, 2433, 642, 317, 273, 284, 692, 340, 317, 273, 1341, 476, 273, 265, 320, 265, 338, 454, 340, 317, 273, 1341, 273, 553, 454, 15008, 454, 763, 2953, 2626, 568, 579, 317, 273, 1341, 476, 273, 265, 320, 265, 338, 269, 901, 568, 519, 2953, 1106, 540, 519, 10252, 26517, 3830, 585, 12719, 519, 3803, 6991, 16302, 630, 341, 317, 273, 264, 538, 2474, 540, 519, 3355, 6991, 16302, 630, 340, 317, 273, 1070, 10231, 630, 320, 1070, 543, 12761, 630, 338, 1040, 634, 3830, 2982, 602, 519, 3803, 6991, 16302, 568, 3160, 547, 519, 2040, 540, 519, 3355, 6991, 16302, 543, 7466, 519, 1587, 540, 10231, 543, 12761, 780, 31948, 713, 2243, 1384, 1892, 476, 274, 780, 2162, 6904, 540, 519, 1739, 568, 513, 4183, 540, 3280, 6329, 286, 476, 272, 281, 19976, 6329, 1109, 476, 273, 281, 29529, 6329, 476, 274, 281, 666, 2951, 998, 513, 3945, 636, 476, 275, 281, 3112, 979, 998, 17571, 610, 15559, 269, 476, 276, 281, 666, 979, 998, 513, 3154, 269, 1109, 589, 281, 476, 272, 267, 274, 267, 275, 267, 276, 645, 281, 273, 267, 275, 267, 276, 595, 281, 275, 1152, 667, 281, 272, 1152, 661, 281, 476, 272, 267, 274, 267, 276, 692, 291, 454, 15008, 454, 306, 895, 6329, 616, 19976, 6329, 267, 2495, 602, 789, 29608, 676, 735, 11306, 543, 4686, 2399, 687, 540, 519, 5420, 789, 616, 10707, 998, 269, 1358, 2154, 513, 5420, 547, 2951, 998, 267, 865, 789, 3112, 2951, 998, 513, 12511, 269, 14675, 6329, 666, 2951, 998, 17571, 267, 15559, 267, 543, 9362, 267, 865, 789, 666, 979, 998, 513, 3154, 269, 4475, 267, 519, 2953, 2626, 568, 667, 281, 476, 272, 1152, 780, 31948, 713, 2243, 1384, 1892, 476, 275, 780, 2162, 16242, 538, 15559, 568, 2016, 676, 2433, 630, 21671, 946, 6698, 2020, 303, 284, 335, 724, 454, 335, 724, 454, 12304, 675, 284, 335, 724, 454, 15008, 454, 763, 2016, 2953, 2626, 2829, 602, 519, 2604, 538, 15559, 568, 2016, 676, 519, 3830, 623, 815, 533, 724, 267, 1141, 623, 4564, 2604, 267, 533, 4564, 5860, 267, 575, 4564, 10231, 1813, 547, 8904, 267, 543, 554, 4564, 519, 4463, 610, 3178, 540, 519, 5277, 269, 901, 3830, 568, 6508, 689, 519, 6240, 540, 8652, 560, 18267, 267, 799, 2829, 602, 519, 2604, 538, 513, 5277, 693, 1964, 4679, 609, 3178, 269, 4475, 267, 519, 2604, 538, 15559, 666, 581, 7229, 676, 14921, 519, 5860, 540, 519, 5277, 267, 519, 10231, 1813, 547, 8904, 267, 543, 519, 4463, 610, 3178, 540, 519, 5277, 780, 31948, 713, 2243, 1384, 1892, 476, 276, 780, 2162, 476, 4968, 271, 717, 580, 1177, 30476, 815, 13322, 1029, 26334, 692, 1892, 589, 780, 274, 1535, 476, 1015, 28260, 1321, 692, 1892, 645, 780, 274, 1535, 476, 1015, 317, 280, 692, 1892, 595, 780, 274, 1535, 476, 1015, 317, 1321, 692, 1892, 667, 780, 274, 1535, 476, 1015, 28260, 280, 692, 290, 269, 476, 274, 1535, 476, 1015, 317, 1321, 454, 15008, 454, 763, 2626, 476, 274, 1535, 476, 1015, 317, 1321, 568, 2953, 1317, 950, 14291, 689, 17254, 1177, 30476, 547, 26334, 267, 596, 9062, 676, 476, 1015, 317, 280, 269, 1924, 267, 476, 4968, 271, 17254, 1177, 30476, 568, 3160, 547, 476, 4968, 271, 1535, 476, 1015, 317, 280, 26334, 267, 799, 29776, 547, 476, 274, 1535, 476, 1015, 317, 1321, 26334, 780, 31948, 713, 2243, 1384, 1892, 476, 277, 780, 2162, 24665, 566, 815, 6991, 1315, 942, 692, 1892, 589, 780, 12148, 692, 1892, 645, 780, 16178, 692, 289, 269, 8771, 454, 15008, 454, 763, 2016, 3830, 267, 10231, 815, 6991, 1315, 942, 267, 568, 11234, 269, 634, 2953, 3830, 568, 10231, 815, 1689, 538, 6991, 1315, 942, 269, 901, 568, 1317, 10231, 568, 519, 2557, 693, 799, 6991, 2242, 936, 942, 267, 711, 1175, 519, 6991, 5258, 676, 942, 269, 4475, 267, 519, 2953, 2626, 568, 8771, 780, 31948, 713, 2243, 1384, 1892, 476, 278, 780, 2162, 1323, 1843, 3001, 538, 519, 10739, 540, 3618, 267, 12599, 693, 3586, 6991, 269, 6904, 1876, 689, 519, 13053, 781, 4031, 540, 5163, 7157, 6257, 713, 780, 1892, 589, 780, 5575, 4521, 692, 1892, 645, 780, 13553, 4521, 692, 1892, 595, 780, 23612, 4521, 692, 1892, 667, 780, 14085, 692, 288, 269, 3689, 4521, 454, 15008, 454, 763, 1101, 1876, 540, 5163, 267, 849, 1634, 607, 519, 1876, 540, 24880, 267, 2829, 602, 606, 1843, 693, 1964, 786, 3251, 693, 1964, 267, 543, 606, 1843, 538, 5163, 786, 3251, 538, 5163, 609, 519, 1482, 3432, 543, 4287, 267, 8259, 19500, 2390, 676, 606, 5007, 3196, 269, 769, 519, 2013, 540, 606, 1843, 3001, 538, 519, 10739, 540, 3047, 267, 621, 568, 7683, 19500, 2390, 676, 519, 14965, 3196, 540, 519, 3047, 267, 799, 8952, 621, 538, 10739, 543, 15387, 922, 3586, 6991, 269, 4475, 267, 519, 1101, 1876, 540, 5163, 7157, 6257, 713, 3510, 780, 31948, 713, 2243, 1384, 1892, 476, 279, 780, 2162, 10414, 815, 13322, 13090, 1535, 12843, 692, 1892, 589, 780, 293, 284, 32508, 317, 273, 692, 1892, 645, 780, 293, 284, 642, 21669, 692, 1892, 595, 780, 293, 284, 2742, 692, 1892, 667, 780, 293, 284, 1740, 2944, 4882, 32497, 692, 290, 269, 674, 284, 2742, 454, 15008, 454, 763, 3830, 674, 284, 2742, 4564, 13053, 781, 2034, 1876, 540, 5163, 267, 799, 2829, 602, 519, 3196, 9117, 593, 606, 1843, 568, 3160, 547, 519, 2527, 540, 519, 1843, 16611, 676, 922, 10231, 269, 901, 1797, 602, 519, 3196, 4810, 676, 606, 1843, 568, 2047, 14354, 547, 1312, 922, 2527, 543, 519, 2557, 693, 799, 922, 6991, 2242, 269, 4475, 267, 674, 284, 2742, 568, 519, 2953, 3830, 547, 5173, 3196, 780, 31948, 713, 2243, 1384, 1892, 476, 280, 780, 2162, 7136, 540, 606, 1843, 593, 3047, 568, 476, 6344, 11899, 269, 12433, 519, 2597, 540, 519, 1268, 593, 519, 7599, 16804, 326, 9852, 3019, 6661, 476, 272, 269, 277, 301, 21515, 4940, 3816, 332, 1897, 547, 946, 519, 2953, 4559, 780, 4572, 715, 454, 15008, 454, 763, 2597, 540, 606, 1843, 568, 7229, 676, 14921, 922, 2527, 676, 519, 10231, 1813, 547, 8904, 269, 2201, 3047, 267, 519, 10231, 1813, 547, 8904, 568, 5111, 476, 280, 269, 279, 544, 4882, 317, 273, 267, 855, 593, 519, 7599, 267, 621, 568, 476, 272, 269, 277, 715, 21515, 269, 4475, 267, 547, 5173, 519, 2597, 540, 519, 1268, 593, 519, 7599, 267, 649, 666, 9062, 741, 2527, 630, 6344, 4846, 264, 676, 519, 10231, 1813, 547, 8904, 593, 519, 7599, 630, 272, 269, 277, 715, 21515, 1040, 901, 3947, 721, 513, 2597, 540, 476, 4572, 715, 780, 31948, 713, 2243, 1384, 1892, 476, 1015, 780, 2162, 13053, 781, 3791, 1876, 6257, 602, 1384, 1892, 589, 780, 2690, 576, 568, 14354, 547, 2527, 543, 10231, 692, 1892, 645, 780, 11854, 539, 540, 606, 1843, 568, 2016, 676, 519, 3845, 5258, 676, 942, 692, 1892, 595, 780, 26574, 568, 3160, 547, 2527, 2053, 519, 3196, 540, 8904, 692, 1892, 667, 780, 9336, 2962, 814, 513, 562, 3160, 855, 6587, 5114, 692, 291, 269, 5272, 2962, 814, 513, 562, 3160, 855, 6587, 5114, 454, 15008, 454, 6124, 2023, 781, 3791, 1876, 2829, 602, 1169, 2962, 814, 606, 3160, 855, 6587, 5114, 269, 901, 1797, 602, 585, 1169, 3196, 25116, 593, 606, 1843, 267, 972, 568, 606, 3160, 543, 6587, 3196, 25116, 676, 519, 1843, 269, 901, 1876, 2337, 2491, 519, 1523, 540, 11610, 543, 519, 4205, 1063, 3615, 269, 898, 8711, 519, 25872, 540, 4229, 538, 2470, 543, 875, 789, 2141, 2049, 538, 8424, 780, 31948, 713, 2243, 1384, 1892, 476, 1556, 780, 2162, 17726, 568, 513, 2433, 630, 339, 1157, 1079, 10833, 2020, 1892, 589, 780, 306, 5632, 541, 692, 1892, 645, 780, 309, 10725, 692, 1892, 595, 780, 31549, 1100, 4287, 692, 1892, 667, 780, 31549, 1100, 9588, 692, 288, 269, 2480, 531, 541, 454, 290, 269, 13201, 1100, 4287, 454, 15008, 454, 11854, 539, 568, 513, 22185, 7274, 1317, 621, 1152, 814, 9588, 543, 1100, 4287, 269, 898, 4564, 519, 2557, 693, 799, 606, 1843, 2242, 922, 2990, 267, 7488, 540, 519, 4287, 621, 568, 3001, 538, 269, 4475, 267, 621, 1281, 711, 723, 513, 1808, 4287, 2404, 609, 621, 269, 3958, 267, 3432, 568, 513, 2268, 540, 875, 3728, 606, 1843, 568, 3001, 267, 10834, 922, 9588, 780, 31948, 713, 2243, 1384, 1892, 476, 1321, 780, 2162, 28850, 636, 815, 2527, 1535, 13322, 27702, 692, 1892, 589, 780, 10907, 5120, 566, 692, 1892, 645, 780, 309, 601, 6290, 692, 1892, 595, 780, 11514, 10293, 692, 1892, 667, 780, 2690, 576, 692, 289, 269, 20653, 6290, 454, 15008, 454, 763, 3830, 585, 11610, 568, 3989, 607, 519, 1587, 540, 606, 1843, 781, 2527, 543, 922, 6991, 269, 901, 3830, 568, 6508, 689, 13053, 781, 2034, 1876, 540, 5163, 267, 799, 2829, 602, 519, 3196, 9117, 593, 606, 1843, 568, 3160, 547, 922, 2527, 16611, 676, 922, 10231, 269, 1717, 267, 538, 713, 2013, 267, 519, 2243, 4481, 12134, 585, 519, 7508, 3815, 538, 519, 3830, 585, 11610, 267, 543, 6991, 568, 519, 2953, 2626, 780, 31948, 713, 2243, 1384, 1892, 476, 1724, 780, 2162, 8776, 4302, 284, 3196, 1535, 13902, 3845, 692, 1892, 589, 780 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 1015, 281, 623, 23635, 910, 1323, 769, 5937, 3704, 6733, 883, 606, 16790, 14545, 16448, 692, 296, 269, 4985, 692, 306, 7219, 2175, 666, 3648, 1764, 606, 1367, 781, 5626, 8171, 543, 2949, 1072, 269, 7324, 891, 2960, 4713, 267, 27728, 814, 6591, 9645, 3007, 1813, 547, 922, 5312, 2470, 543, 1950, 2619, 30986, 269, 2755, 972, 616, 1896, 9354, 3681, 2139, 267, 1620, 713, 2783, 693, 513, 4514, 1377, 568, 1898, 585, 3782, 4648, 543, 2550, 7567, 269, 769, 713, 3184, 267, 649, 5490, 883, 27728, 267, 3246, 513, 9488, 6514, 540, 922, 1696, 5735, 267, 4791, 6881, 267, 5868, 267, 2126, 4485, 267, 543, 2487, 7760, 269, 3958, 267, 4296, 547, 824, 16991, 2175, 899, 3857, 559, 15282, 630, 553, 5018, 538, 519, 2546, 21626, 264, 786, 581, 8268, 780, 2862, 269, 4197, 623, 23635, 281, 18264, 5735, 543, 11202, 14003, 692, 288, 269, 9502, 543, 19032, 454, 303, 23635, 568, 513, 570, 1591, 24975, 12982, 2960, 4524, 5097, 7133, 23128, 11294, 22889, 18735, 543, 15285, 269, 898, 6799, 607, 25921, 1629, 2117, 730, 267, 1085, 3315, 267, 22980, 339, 3012, 748, 29693, 13196, 3335, 1336, 593, 970, 16428, 7252, 971, 607, 1714, 28647, 543, 19704, 269, 634, 2068, 5540, 1312, 25469, 8449, 267, 7488, 540, 14940, 610, 2085, 267, 4352, 12614, 11148, 547, 2049, 1063, 18273, 543, 2038, 15296, 269, 9050, 1292, 2010, 2291, 281, 15799, 267, 11201, 267, 8937, 339, 622, 267, 543, 533, 755, 983, 27728, 267, 2059, 609, 22980, 628, 16967, 1069, 545, 27728, 1373, 2808, 513, 4686, 14583, 780, 289, 269, 21834, 543, 7025, 11790, 454, 7212, 16220, 19753, 12723, 267, 2825, 12153, 1404, 513, 1713, 1909, 538, 1802, 1424, 27728, 1166, 4100, 269, 1452, 2188, 1331, 8194, 267, 3968, 630, 27146, 3320, 1792, 696, 25497, 5632, 1070, 6527, 630, 331, 603, 1756, 267, 12498, 3625, 619, 267, 1884, 2711, 541, 10118, 1070, 4568, 4616, 267, 7296, 267, 8377, 267, 543, 2566, 269, 5047, 267, 7648, 1369, 6090, 3238, 538, 17916, 12046, 267, 4481, 14889, 268, 2537, 270, 6579, 268, 1704, 15202, 11444, 267, 3565, 547, 18687, 543, 10335, 780, 290, 269, 16332, 13771, 14003, 454, 1103, 27728, 267, 7988, 29970, 4205, 1851, 27765, 26578, 2281, 267, 6120, 5268, 2812, 267, 543, 7131, 275, 266, 270, 7374, 279, 266, 570, 9726, 14231, 5397, 519, 5250, 540, 28341, 8084, 9726, 1355, 3889, 3056, 547, 5409, 335, 1503, 11717, 894, 28603, 531, 2242, 269, 6206, 29299, 26582, 538, 713, 1184, 616, 10510, 27394, 15727, 3815, 268, 10401, 630, 307, 22143, 268, 10382, 1070, 17727, 4157, 1231, 630, 6579, 9984, 272, 15512, 267, 14889, 268, 277, 267, 14889, 268, 1704, 267, 14889, 268, 2420, 267, 543, 14889, 268, 2537, 269, 2920, 10474, 540, 891, 18657, 2209, 19411, 919, 538, 9402, 23128, 11294, 22889, 30553, 267, 2587, 328, 14003, 267, 543, 12012, 29414, 5119, 18254, 4611, 538, 8984, 15087, 780, 7656, 269, 11916, 17972, 543, 23369, 692, 288, 269, 5651, 874, 1670, 18567, 454, 763, 5929, 5920, 540, 27728, 3322, 5180, 610, 24814, 29693, 13196, 4988, 609, 3623, 854, 10253, 8151, 689, 6094, 547, 5394, 269, 15776, 687, 4268, 538, 2450, 267, 1419, 1071, 2297, 576, 267, 543, 4159, 2834, 10665, 269, 715, 841, 9525, 4386, 4749, 267, 9306, 607, 8486, 1154, 267, 32396, 267, 7759, 3101, 267, 543, 9668, 689, 17970, 15135, 269, 5015, 267, 4745, 1928, 610, 11926, 1522, 5815, 533, 7717, 328, 1738, 12263, 1646, 780, 289, 269, 27018, 23369, 454, 18814, 547, 20718, 10641, 3098, 267, 23243, 27728, 689, 824, 2960, 3676, 3340, 22111, 6268, 269, 5871, 11186, 21904, 7854, 694, 4011, 337, 515, 545, 27150, 267, 533, 640, 686, 12118, 9782, 320, 267, 512, 13810, 6144, 529, 267, 1003, 332, 983, 26253, 267, 2759, 10389, 570, 16052, 28623, 267, 6132, 1156, 1544, 639, 267, 543, 1250, 322, 2670, 9033, 32403, 269, 2876, 13771, 11043, 4879, 3788, 16832, 950, 13509, 26251, 5103, 4791, 10385, 780, 4353, 269, 7351, 9615, 22604, 543, 5004, 11150, 692, 288, 269, 5440, 673, 26935, 625, 454, 2690, 7646, 3562, 21524, 4733, 2665, 267, 22521, 8069, 13822, 1101, 11060, 3797, 269, 595, 20294, 8803, 6950, 267, 6171, 667, 12746, 1132, 267, 18287, 710, 584, 514, 20127, 267, 1427, 27546, 267, 16320, 1537, 514, 267, 2892, 5390, 997, 3679, 267, 5755, 13545, 267, 543, 5848, 584, 9088, 4196, 607, 3119, 5079, 4470, 2390, 4087, 267, 6708, 267, 543, 3461, 7375, 269, 10395, 1588, 11257, 1683, 3773, 2640, 1247, 10893, 2427, 2360, 2404, 609, 1395, 8839, 780, 289, 269, 7353, 6139, 1905, 625, 454, 19575, 19965, 645, 630, 10013, 289, 264, 2584, 8839, 4564, 1776, 3044, 4781, 585, 8156, 9793, 3562, 5498, 3164, 27728, 269, 16340, 7171, 11158, 289, 630, 17668, 268, 10013, 289, 264, 543, 7522, 7171, 11158, 289, 630, 301, 289, 268, 10013, 289, 264, 8428, 3823, 15423, 2039, 543, 12117, 269, 28080, 9643, 2300, 25534, 8955, 3091, 16496, 22292, 5982, 585, 18195, 800, 22297, 15087, 269, 1717, 267, 1761, 4220, 267, 1519, 15910, 8328, 640, 543, 8666, 1645, 267, 28173, 4140, 5534, 946, 780, 290, 269, 3590, 545, 5709, 725, 454, 30535, 796, 22529, 633, 547, 22521, 338, 610, 2584, 8839, 2154, 11528, 5574, 269, 12465, 5711, 5061, 2874, 540, 8715, 582, 516, 343, 622, 267, 7814, 30950, 710, 267, 1035, 527, 4958, 514, 267, 513, 2181, 332, 559, 770, 267, 543, 535, 20783, 545, 3679, 1965, 1562, 269, 4437, 860, 923, 2099, 5969, 12967, 6098, 6375, 558, 617, 1637, 1996, 1883, 29299, 6117, 27728, 31630, 269, 3397, 757, 13389, 570, 22143, 268, 10382, 267, 14889, 268, 1704, 267, 14889, 268, 1321, 270, 2537, 267, 543, 14889, 268, 2537, 6542, 7415, 3106, 12632, 543, 7145, 3379, 547, 6671, 8925, 269, 11048, 267, 741, 1164, 1942, 31433, 6297, 7156, 1759, 593, 1367, 2115, 543, 6381, 780, 291, 269, 7388, 29232, 26935, 625, 454, 18204, 7992, 14911, 11257, 7258, 13416, 2359, 10597, 2298, 540, 1272, 543, 10607, 26447, 3344, 540, 2713, 609, 27728, 269, 10791, 14842, 267, 11009, 2853, 267, 2168, 2534, 267, 7943, 4598, 267, 543, 4244, 4915, 23857, 20519, 2417, 7634, 2016, 9621, 4093, 4767, 3976, 2484, 780, 309, 269, 22627, 9737, 623, 23635, 543, 4033, 16790, 14545, 15136, 692, 2026, 12006, 4505, 267, 3857, 559, 15282, 8843, 2147, 5817, 6127, 5473, 16991, 6114, 9859, 2509, 14264, 14231, 269, 21452, 267, 3838, 4719, 1327, 328, 1063, 27728, 543, 620, 641, 1815, 807, 616, 1092, 1107, 1776, 1418, 10391, 16991, 2783, 1107, 2303, 1455, 6375, 648, 326, 17419, 12889, 30343, 3309, 19183, 269, 4475, 267, 3695, 3444, 2389, 1779, 1851, 3982, 9988, 8309, 3407, 4030, 2509, 3384, 3209, 2994, 5466, 2789, 32435, 885, 21276, 569, 780, 9654, 269, 10390, 692, 8601, 8101, 3356, 1500, 538, 26762, 27728, 267, 5571, 1382, 3646, 3136, 20678, 547, 21264, 6946, 7636, 5121, 12044, 713, 12947, 716, 3645, 2068, 4628, 269, 1635, 16107, 4359, 4066, 543, 5499, 16097, 267, 2104, 23484, 9153, 8476, 10368, 6111, 267, 10531, 4915, 3358, 547, 2189, 4307, 8040, 267, 4824, 9354, 4994, 267, 543, 6038, 267, 1732, 3461, 1416, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5970, 596, 1279, 1044, 7092, 689, 562, 7360, 1769, 23469, 15649, 593, 519, 2960, 286, 6496, 621, 1860, 519, 2298, 540, 707, 1272, 676, 4758, 596, 3929, 2566, 286, 3657, 596, 13110, 540, 10703, 2718, 1346, 3043, 7436, 609, 17539, 286, 1284, 1205, 596, 269, 19663, 909, 609, 3857, 559, 15282, 568, 711, 2653, 282, 621, 5036, 596, 6306, 689, 1866, 676, 11874, 18363, 707, 1582, 12635, 269, 1809, 267, 1808, 2067, 2081, 949, 948, 596, 4308, 609, 519, 3390, 543, 11177, 707, 2067, 2960, 2681, 936, 942, 269, 901, 2376, 786, 1865, 5722, 5140, 1753, 14319, 585, 3857, 559, 15282, 602, 786, 2709, 11141, 2164, 952, 596, 723, 2614, 9639, 563, 1432, 568, 23554, 559, 15282, 888, 309, 527, 559, 15282, 267, 4122, 1634, 607, 2274, 1075, 25866, 320, 267, 568, 513, 2960, 2783, 6353, 676, 519, 1646, 540, 3043, 15649, 593, 1585, 2127, 540, 519, 2960, 269, 901, 2783, 568, 16991, 267, 2495, 602, 519, 1560, 779, 4761, 1062, 9072, 543, 30001, 14264, 14231, 267, 519, 2281, 3743, 585, 6721, 20119, 538, 519, 2960, 269, 1306, 513, 1267, 267, 4299, 2127, 6336, 2681, 267, 7432, 3043, 543, 8108, 12150, 15649, 1813, 547, 519, 9000, 540, 14264, 514, 533, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 23635, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 15302, 1299, 17148, 1315, 21210, 1299, 16790, 14545, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 1262, 16215, 281, 4197, 20709, 262, 7126, 910, 589, 6733, 883, 12548, 781, 8534, 12668, 4373, 265, 6637, 476, 272, 281, 1548, 616, 4600, 262, 2924, 286, 22177, 5331, 2324, 1279, 3108, 1169, 1554, 609, 2370, 2628, 543, 1100, 942, 1055, 269, 901, 729, 519, 4641, 585, 1082, 4600, 1282, 519, 11633, 7169, 538, 3013, 269, 1717, 267, 607, 1004, 3459, 547, 10891, 543, 4339, 585, 4023, 2126, 267, 4031, 941, 2322, 538, 1747, 547, 2149, 4600, 685, 2924, 269, 1452, 2924, 2327, 602, 5520, 4309, 4023, 13848, 267, 2922, 2324, 2175, 267, 543, 10257, 3108, 269, 2913, 781, 4685, 4514, 883, 1620, 1018, 891, 2924, 1611, 543, 875, 789, 3357, 547, 581, 780, 265, 6637, 476, 273, 281, 7216, 12959, 585, 4600, 262, 2924, 22177, 1103, 519, 3735, 476, 5197, 271, 338, 543, 2038, 476, 5002, 271, 338, 267, 4074, 18787, 3323, 8108, 2066, 519, 2197, 269, 1133, 687, 5280, 3142, 1927, 2516, 540, 4600, 945, 3838, 1455, 4690, 543, 4145, 269, 1358, 7858, 7007, 11731, 1063, 12820, 543, 5520, 267, 14957, 585, 1732, 13848, 267, 10156, 960, 17058, 267, 543, 10930, 2324, 5054, 269, 1809, 713, 7012, 1405, 2141, 2653, 256, 3509, 1870, 5411, 5706, 539, 9769, 1436, 3646, 267, 4611, 538, 10795, 7526, 1634, 607, 4074, 10617, 780, 265, 6637, 476, 274, 281, 8865, 1353, 1107, 634, 12548, 8534, 12668, 22177, 3080, 1713, 1383, 540, 4074, 13882, 7018, 538, 595, 23774, 548, 15880, 267, 12548, 267, 1472, 476, 5002, 275, 269, 3687, 619, 8179, 2362, 13848, 543, 4824, 3106, 3800, 267, 3056, 873, 547, 1106, 519, 5375, 18966, 540, 3687, 619, 630, 310, 30820, 1040, 570, 5014, 15583, 730, 950, 9553, 12427, 21534, 1875, 10595, 542, 1242, 4600, 267, 4929, 16716, 543, 5208, 2429, 519, 3148, 269, 16828, 267, 519, 2817, 15050, 18060, 539, 267, 5885, 519, 9553, 5411, 936, 519, 19379, 685, 7569, 269, 4014, 519, 4174, 24329, 1705, 711, 3035, 7525, 1967, 267, 741, 3527, 3366, 547, 2799, 4656, 827, 11832, 14226, 543, 838, 13899, 2417, 12180, 3646, 25422, 780, 265, 6637, 476, 275, 281, 7073, 6286, 22177, 4407, 2168, 30925, 568, 1447, 1455, 2221, 267, 9036, 2152, 2611, 4143, 269, 6056, 827, 3871, 1141, 596, 1745, 896, 1952, 3285, 730, 610, 5134, 8972, 693, 1153, 610, 1256, 693, 1753, 1765, 852, 4952, 4743, 899, 602, 1169, 1554, 693, 960, 269, 18641, 267, 2413, 4074, 4031, 543, 6042, 2832, 547, 2061, 971, 7653, 676, 4180, 4213, 1246, 4808, 3823, 9441, 13180, 267, 2640, 267, 543, 4027, 780, 2026, 2104, 4961, 267, 621, 781, 2629, 547, 1174, 519, 2956, 540, 7555, 909, 585, 938, 2924, 269, 3807, 607, 19379, 10692, 585, 1732, 2175, 538, 12548, 267, 649, 1932, 1590, 12167, 585, 6000, 543, 1866, 8164, 2556, 269, 1635, 1565, 827, 1686, 543, 922, 1764, 593, 1699, 2621, 267, 649, 1831, 811, 5483, 267, 23518, 2043, 5827, 540, 1818, 2318, 2242, 538, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 10666, 8751, 7812, 15928, 10837, 5549, 563, 25402, 7812, 15928, 10837, 5549, 269, 568, 8149, 547, 4466, 5695, 6674, 10256, 10097, 3795, 543, 2139, 3609, 28774, 267, 1247, 849, 12419, 9120, 6075, 3028, 269, 2334, 781, 1946, 649, 4312, 6074, 547, 7649, 609, 13780, 4204, 269, 634, 5383, 2253, 609, 1390, 3795, 693, 513, 1390, 3902, 267, 855, 1082, 5695, 6674, 10256, 1265, 2081 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1721, 1775, 538, 2039, 263, 272, 267, 279, 8029, 825, 952, 9217, 283, 276, 2567, 2745, 3488, 265, 262, 265, 328, 3418, 825, 3116, 281, 2745, 3488, 265, 262, 16732, 279, 25829, 17903, 5897, 330, 284, 272, 1477, 1721, 1775, 538, 2039, 263, 275, 267, 271, 16427, 272, 8029, 825, 1820, 3488, 1412, 16732, 328, 268, 272, 11924, 262, 265, 24003, 330, 3418, 825, 737, 23785, 272, 1477, 672, 24653, 3698, 535, 3287, 267, 331, 17342, 316, 8029, 825, 585, 1775, 538, 2039, 3287, 8029, 1038, 561, 6910, 9217, 265, 328, 3418, 825, 1820, 10857, 3418, 325, 263, 276, 3418, 325, 263, 275, 267, 314, 274, 267, 273, 267, 272, 29573, 325, 263, 274, 3418, 325, 263, 273, 267, 314, 274, 267, 272, 29573, 18257, 1477, 331, 17342, 272, 267, 273, 267, 274, 267, 275, 267, 276, 15947, 331, 17342, 279, 267, 280, 15947, 2745, 10857, 3418, 335, 17342, 15947, 335, 6910, 263, 272, 3418, 335, 6910, 263, 275, 3418, 2745, 9638, 3418, 335, 17342, 15947, 335, 6910, 263, 271, 3418, 2745, 9638, 264, 18257, 24653, 0, 3698, 3568, 30415, 267, 10420, 8029, 825, 585, 476, 1775, 538, 2039, 12759, 30415, 9984, 272, 16427, 272, 16427, 272, 8029, 1038, 952, 5569, 5157, 316, 2525, 10420, 6769, 2018, 1820, 263, 10420, 3418, 2018, 2132, 1775, 1477, 825, 6318, 28759, 3488, 322, 746, 711, 1265, 4939, 337, 538, 4939, 337, 262, 260, 263, 10420, 267, 11415, 17903, 339, 787, 6769, 825, 3568, 3488, 9346, 629, 629, 12887, 320, 20298, 21955, 28759, 6769, 825, 1820, 3488, 29582, 20298, 825, 6318, 28759, 3488, 322, 746, 711, 1265, 4939, 337, 538, 4939, 337, 262, 260, 263, 10420, 267, 11415, 264, 10142, 0, 5035, 589, 6769, 825, 1219, 1187, 4311, 8029, 1038, 1820, 3488, 288, 20298, 5035, 645, 10490, 8029, 825, 1219, 1187, 4311, 8029, 1038, 1820, 3488, 289, 20298, 1038, 2706, 16360, 267, 1345, 1040, 325, 684, 14052, 5035, 595, 10490, 8029, 825, 1219, 1187, 4311, 8029, 1038, 1820, 3488, 290, 20298, 1038, 2706, 18154, 267, 1345, 1040, 325, 684, 14052, 5035, 667, 18154, 32390, 8029, 825, 1219, 1187, 4311, 8029, 1038, 1820, 3488, 291, 20298, 1038, 2706, 20573, 267, 1345, 1040, 325, 684, 14052, 323, 284, 291, 14052, 323, 8807, 684, 14052, 0, 258, 342, 777, 547, 2638, 519, 1826, 540, 513, 6906, 5897, 2745, 2891, 10938, 5011, 540, 513, 6906, 14744, 320, 14720, 22698, 25507, 9272, 3890, 1070, 842, 9272, 3890, 1070, 842, 9272, 3890, 10142, 604, 5416, 2525, 321, 543, 536, 2525, 322, 8029, 825, 1820, 3488, 28256, 4120, 568, 31164, 20298, 19197, 5416, 256, 284, 321, 543, 536, 256, 284, 322, 8029, 825, 1820, 3488, 28256, 4120, 568, 9470, 2940, 20298, 12828, 6769, 825, 1820, 3488, 10177, 17532, 568, 568, 30801, 20298, 0, 258, 303, 718, 30308, 5897, 333, 25507, 9272, 3488, 10938, 513, 1100, 10807, 3418, 516, 341, 284, 271, 1477, 343, 284, 333, 1477, 6112, 3287, 256, 284, 271, 8029, 825, 2847, 14352, 343, 260, 1015, 11924, 516, 341, 265, 1015, 1477, 825, 1535, 24210, 2260, 1015, 1477, 2745, 3488, 516, 2091, 540, 519, 1100, 568, 22207, 516, 341, 3418, 604, 263, 516, 341, 2525, 333, 8029, 825, 1820, 2891, 333, 568, 23080, 30308, 14744, 12828, 6769, 825, 1820, 2891, 7224, 568, 711, 23080, 30308, 14744, 24541, 0, 331, 17342, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 15947, 325, 267, 324, 284, 271, 267, 6352, 10857, 9984, 272, 1477, 343, 25507, 9272, 3488, 10938, 3693, 547, 3406, 10807, 3418, 1721, 1775, 538, 2039, 12759, 10857, 264, 8029, 825, 544, 14352, 325, 266, 324, 264, 2260, 273, 1477, 825, 952, 10857, 314, 332, 316, 285, 343, 8029, 1038, 552, 284, 332, 268, 272, 1477, 825, 8640, 10857, 314, 332, 316, 283, 343, 8029, 1038, 535, 284, 332, 266, 272, 1477, 825, 8640, 10857, 314, 332, 316, 2525, 343, 8029, 1038, 1820, 3488, 11398, 693, 3299, 332, 266, 272, 3418, 1038, 2736, 1477, 12828, 6769, 825, 1820, 3488, 2254, 1336, 20298, 0, 258, 11644, 268, 272, 454, 320, 815, 703, 9272, 3488, 11767, 513, 1297, 281, 1412, 4917, 604, 630, 320, 260, 274, 2652, 271, 543, 513, 260, 276, 2525, 271, 2187, 825, 1820, 3488, 8256, 738, 5417, 910, 5124, 9751, 5073, 19197, 630, 320, 260, 274, 2525, 271, 2187, 825, 1820, 3488, 8256, 738, 5417, 5073, 19197, 5416, 260, 276, 2525, 271, 2187, 825, 1820, 3488, 23911, 9751, 5073, 12828, 912, 825, 1820, 3488, 10831, 568, 9444, 16883, 676, 476, 274, 610, 476, 276, 10807, 0, 258, 19865, 476, 274, 692, 320, 267, 536, 267, 524, 284, 476, 1015, 267, 476, 736, 267, 1789, 454, 822, 326, 815, 630, 320, 266, 536, 25239, 8358, 274, 454, 2745, 2891, 822, 326, 815, 2580, 1285, 326, 2020, 604, 263, 822, 326, 3436, 320, 543, 1285, 326, 285, 321, 543, 1285, 326, 285, 322, 2187, 825, 1820, 2891, 13510, 326, 568, 2362, 982, 14307, 513, 267, 22207, 3299, 536, 267, 22207, 3299, 524, 994, 19197, 630, 822, 326, 285, 513, 543, 1285, 326, 285, 536, 2187, 825, 1820, 3488, 13510, 326, 568, 2362, 22207, 513, 267, 22207, 3299, 536, 267, 22207, 3299, 524, 994, 19197, 263, 822, 326, 285, 513, 543, 1285, 326, 285, 524, 2187, 825, 1820, 2891, 13510, 326, 568, 2362, 982, 14307, 513, 267, 22207, 3299, 524, 264, 3097, 19197, 263, 822, 326, 285, 321, 543, 1285, 326, 285, 322, 2187, 825, 1820, 2891, 13510, 326, 568, 2362, 982, 14307, 536, 267, 22207, 3299, 524, 994, 19197, 263, 822, 326, 285, 513, 2187, 825, 1820, 2891, 13510, 326, 568, 2362, 982, 14307, 513, 267, 264, 3097, 19197, 263, 822, 326, 285, 321, 2187, 825, 1820, 2891, 13510, 326, 568, 2362, 982, 14307, 536, 994, 12828, 912, 825, 1820, 3488, 13510, 326, 568, 1175, 2362, 982, 22207, 524, 264, 0, 454, 307, 3008, 298, 476, 278, 692, 258, 1401, 268, 272, 692, 5228, 2979, 1104, 21762, 692, 290, 284, 2004, 454, 295, 284, 1789, 692, 12534, 291, 284, 3403, 3488, 11767, 667, 2418, 281, 1412, 1040, 20889, 263, 3299, 5073, 2745, 263, 12534, 291, 2020, 331, 284, 11713, 1721, 1775, 538, 15254, 291, 912, 825, 759, 284, 21762, 9230, 273, 265, 290, 265, 842, 9217, 4297, 270, 295, 994, 825, 561, 6910, 263, 637, 994, 2745, 3488, 306, 13645, 3597, 568, 281, 22207, 561, 2020, 5785, 734, 454, 258, 1401, 268, 273, 692, 5035, 23426, 912, 8931, 825, 1219, 1858, 10031, 1038, 818, 284, 476, 271, 28329, 5035, 12384, 263, 4537, 1901, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 3259, 2187, 1038, 1582, 32324, 284, 3259, 28329, 4449, 8931, 825, 1219, 1858, 4311, 2187, 1038, 1820, 4311, 32324, 994, 1038, 818, 284, 1582, 32324, 1262, 273, 454, 1038, 2132, 818, 692, 984, 272, 284, 12384, 263, 1015, 994, 2745, 263, 984, 272, 269, 19327, 31156, 14343, 734, 454, 258, 12327, 268, 275, 476, 630, 928, 539, 547, 798, 713, 1586, 609, 811, 9355, 2020, 5035, 5384, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3108, 267, 2381, 2373, 2187, 1038, 1582, 19544, 2293, 284, 3108, 454, 1038, 1582, 269, 2381, 2373, 284, 3764, 28329, 825, 1219, 1039, 11742, 263, 28128, 272, 267, 1073, 329, 273, 2187, 1038, 3108, 284, 1073, 329, 272, 19544, 2293, 266, 1073, 329, 273, 19544, 2293, 454, 1038, 1295, 272, 284, 1073, 329, 272, 269, 2381, 2373, 266, 1073, 329, 273, 269, 2381, 2373, 22562, 825, 1219, 4159, 11742, 10031, 1038, 1820, 19304, 22607, 2293, 11924, 1412, 5662, 543, 262, 1341, 1193, 263, 2381, 272, 264, 1341, 262, 3764, 5073, 25639, 454, 825, 1219, 4159, 14737, 1393, 10031, 1038, 1820, 22607, 2293, 265, 2568, 1341, 1295, 272, 994, 13872, 28128, 272, 284, 5384, 263, 272, 267, 3953, 994, 28128, 273, 284, 5384, 263, 273, 267, 2004, 994, 5417, 11742, 263, 28128, 272, 267, 1073, 329, 273, 994, 5891, 11742, 10797, 7531, 0, 5814, 19523, 5897, 333, 25507, 9272, 2891, 11767, 1297, 540, 2609, 540, 5044, 272, 281, 834, 17903, 2745, 2891, 11767, 2609, 2433, 14744, 1551, 17342, 15947, 1721, 1775, 538, 2039, 263, 271, 19885, 8029, 1038, 1990, 25507, 9272, 3890, 3418, 1038, 2855, 6910, 18750, 3418, 5897, 323, 597, 284, 271, 1477, 604, 4433, 636, 19906, 264, 2525, 1551, 314, 271, 30297, 333, 8029, 1038, 1820, 2891, 2005, 568, 3586, 834, 3418, 1038, 14827, 31476, 604, 19906, 314, 272, 316, 285, 284, 1551, 314, 271, 316, 8029, 1038, 585, 1775, 538, 2039, 263, 272, 19885, 268, 272, 8029, 3546, 952, 19906, 5157, 266, 272, 316, 285, 284, 1551, 5157, 316, 8029, 13376, 546, 597, 284, 272, 1477, 3546, 3116, 6769, 13376, 546, 597, 284, 271, 1477, 13376, 2736, 5897, 24653, 604, 19906, 314, 272, 316, 27045, 1551, 314, 271, 316, 543, 546, 597, 2525, 271, 8029, 1038, 585, 1775, 538, 2039, 263, 272, 19885, 268, 272, 8029, 3546, 952, 19906, 5157, 266, 272, 316, 27045, 1551, 5157, 316, 8029, 13376, 546, 597, 15871, 272, 1477, 3546, 3116, 6769, 13376, 546, 597, 284, 271, 1477, 13376, 2736, 24653, 604, 546, 597, 2525, 271, 6769, 1038, 1820, 2891, 8253, 3933, 582, 4577, 14744, 19197, 546, 597, 2525, 272, 6769, 1038, 1820, 2891, 1805, 2774, 569, 2810, 14744, 19197, 546, 597, 2525, 268, 272, 6769, 1038, 1820, 2891, 1805, 2774, 569, 13302, 8442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 25650, 5555, 598, 1027, 539, 14710, 543, 6410, 519, 12051, 1788, 11992, 780, 1103, 3210, 547, 713, 11802, 267, 12429, 20353, 3241, 9684, 539, 1169, 1268, 3238, 267, 7488, 540, 741, 4978, 269, 1261, 15091, 602, 1498, 5258, 676, 1212, 2644, 267, 789, 3357, 1927, 607, 835, 19618, 5639, 8165, 585, 5168, 543, 5126, 269, 1656, 1247, 519, 10071, 2451, 26711, 267, 621, 6026, 873, 3407, 4245, 827, 8296, 267, 10100, 267, 543, 7555, 909, 585, 1018, 568, 1318, 780, 4517, 865, 267, 1272, 7444, 8120, 547, 3339, 538, 5842, 1772, 573, 549, 269, 8616, 267, 4986, 7283, 3833, 519, 1482, 282, 5452, 540, 7679, 28216, 17052, 19806, 15701, 883, 2178, 7554, 267, 23429, 519, 2899, 4630, 18100, 4884, 269, 4634, 2221, 267, 8164, 4896, 19528, 519, 2012, 1412, 26596, 1772, 573, 549, 10086, 17137, 23816, 569, 11291, 519, 942, 950, 14488, 4547, 3309, 2950, 6251, 982, 2479, 1354, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 22081, 1281, 519, 7826, 5783, 4431, 547, 2797, 3401, 945, 11716, 610, 8362, 960, 1996, 1480, 2924, 888, 763, 7826, 5783, 814, 513, 2312, 18879, 593, 1480, 2924, 543, 1514, 5126, 2152, 269, 1879, 2797, 3401, 11716, 610, 8362, 960, 1996, 1480, 2924, 267, 519, 5783, 20781, 538, 1896, 2081, 1384, 272, 269, 5398, 6898, 281, 634, 28912, 543, 1367, 31967, 949, 3390, 1857, 6898, 18149, 940, 1022, 19374, 540, 1480, 2924, 543, 1289, 2390, 3401, 547, 2463, 1346, 2924, 780, 273, 269, 24547, 558, 2329, 281, 634, 5783, 949, 946, 20320, 9055, 547, 4497, 609, 2797, 3401, 543, 12167, 585, 519, 4027, 540, 1480, 2924, 780, 274, 269, 26874, 5583, 281, 7826, 3401, 949, 2709, 5837, 5583, 547, 741, 13794, 593, 2152, 1644, 547, 1480, 2924, 267, 2566, 532, 519, 2956, 540, 3743, 15114, 543, 1514, 5126, 780, 275, 269, 31197, 281, 634, 5783, 7512, 14223, 3646, 676, 922, 2818, 543, 28930, 919, 538, 8878, 540, 1480, 2924, 269, 901, 949, 1331, 998, 1514, 2923, 11044, 267, 4484, 1603, 610, 10213, 2984, 780, 276, 269, 3447, 520, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 769, 2221, 781, 1158, 267, 972, 568, 606, 2810, 3747, 585, 13476, 7874, 2853, 2066, 1585, 6080, 267, 1519, 519, 18914, 5823, 269, 901, 6521, 2509, 6940, 568, 9141, 676, 1896, 2188, 267, 1519, 22608, 2825, 6042, 267, 8375, 7082, 9637, 827, 8733, 2152, 267, 543, 519, 6024, 1391, 585, 4824, 10512, 4398, 630, 289, 320, 30977, 1696, 620, 1421, 476, 1001, 278, 1040, 9182, 267, 8030, 21751, 538, 16669, 1374, 543, 5663, 1590, 1631, 11753, 10357, 7888, 2326, 2257, 3741, 883, 741, 20104, 1247, 4509, 519, 1164, 1377, 540, 2930, 6791, 12926, 2404, 609, 519, 9015, 269, 1677, 3035, 713, 3666, 267, 621, 568, 1898, 547, 2263, 6932, 4066, 602, 3895, 1312, 2773, 19349, 543, 2825, 19642, 269, 5565, 8037, 1806, 540, 971, 8441, 616, 5410, 1438, 19007, 630, 4456, 1070, 4481, 476, 274, 291, 8228, 267, 543, 8950, 31592, 6513, 630, 290, 10998, 264, 20619, 2533, 269, 1635, 6313, 891, 4066, 998, 519, 7828, 540, 3039, 2326, 2257, 267, 713, 3184, 786, 1683, 1053, 609, 513, 4396, 5748, 2556, 547, 1118, 6209, 7418, 1369, 519, 2796, 540, 2413, 267, 10357, 23655, 16669, 4702, 780, 6524, 11362, 883, 1808, 6639, 3156, 267, 1577, 721, 1101, 3715, 513, 2312, 4214, 540, 1018, 13054, 606, 1412, 324, 1723, 7888, 1570, 9538, 2311, 922, 4295, 267, 606, 13476, 3280, 1570, 1058, 4865, 7907, 971, 607, 1970, 22993, 1648, 267, 6691, 1464, 267, 7686, 18341, 1464, 267, 1875, 3562, 13877, 640, 1282, 2504, 543, 12871, 3157, 267, 8766, 3653, 5108, 267, 543, 2199, 8244, 630, 2026, 327, 2421, 267, 476, 1001, 279, 1040, 1879, 4294, 547, 18914, 5057, 21753, 267, 891, 7355, 666, 948, 2569, 519, 2949, 3327, 11640, 2404, 609, 6174, 2504, 1510, 18731, 10342, 610, 3106, 4441, 269, 2060, 713, 5943, 538, 2247, 267, 649, 4927, 8399, 547, 4983, 875, 7537, 543, 18981, 20619, 18220, 543, 1489, 519, 1646, 540, 10357, 7888, 2326, 2257, 780, 11754, 1438, 19007, 630, 4456, 264, 4016, 547, 513, 1920, 540, 2553, 1031, 547, 1711, 1614, 8820, 3615, 676, 4946, 1570, 4494, 5346, 517, 2000, 9707, 1759, 593, 3059, 3631, 630, 294, 756, 5459, 1696, 620, 1421, 476, 1001, 276, 1040, 2290, 2442, 15410, 540, 7537, 568, 476, 274, 291, 8228, 267, 799, 2636, 9858, 543, 9755, 3152, 5191, 538, 2870, 1950, 22762, 1845, 543, 3889, 5892, 796, 520, 1555, 762, 1210, 2757, 10208, 633, 2409, 269, 5015, 267, 476, 274, 291, 8228, 6087, 1713, 20214, 538, 1570, 3653, 2094, 621, 21437, 2694, 2047, 689, 2780, 8584, 3660, 1374, 630, 21020, 264, 6119, 1510, 8506, 3606, 1907, 532, 610, 26892, 630, 16920, 15546, 267, 476, 1001, 278, 1040, 1717, 267, 5103, 891, 5383, 267, 930, 2591, 2611, 7282, 519, 7839, 10073, 540, 7537, 585, 1804, 8397, 16669, 3156, 269, 1280, 3236, 267, 6671, 476, 274, 291, 23252, 3335, 8415, 5687, 6955, 10415, 6508, 689, 19386, 2200, 267, 9870, 4145, 3823, 741, 1279, 3856, 6940, 630, 295, 12120, 1299, 918, 749, 839, 267, 476, 1001, 277, 1040, 16480, 267, 3173, 3136, 3695, 4244, 3049, 560, 4169, 1500, 689, 7791, 2959, 899, 2030, 2861, 22169, 543, 6915, 23402, 29322, 547, 2232, 891, 4145, 630, 8867, 13660, 580, 537, 1696, 620, 1421, 476, 1001, 280, 6393, 20663, 31592, 6513, 630, 290, 10998, 264, 20619, 4564, 1776, 2565, 2029, 538, 4207, 16669, 5663, 269, 9521, 7537, 267, 18981, 1281, 711, 1628, 2694, 27261, 958, 282, 3079, 267, 621, 18788, 1570, 689, 6006, 4773, 2687, 547, 840, 32491, 4364, 5528, 6383, 3842, 21957, 3301, 630, 298, 648, 333, 267, 476, 1001, 275, 1040, 2755, 13840, 2808, 1447, 10357, 7888, 982, 7537, 1813, 547, 2362, 2157, 540, 1570, 3653, 267, 2487, 8441, 538, 18981, 12227, 723, 3366, 547, 2799, 4398, 543, 4389, 729, 5653, 269, 5047, 267, 950, 13745, 609, 10357, 7888, 2326, 5542, 267, 18981, 20619, 2488, 3875, 2640, 267, 1519, 519, 2702, 547, 3132, 17426, 3334, 609, 20979, 22762, 1845, 602, 3986, 4492, 4346, 543, 6175, 5434, 630, 306, 999, 327, 27958, 1696, 620, 1421, 476, 1001, 280, 1040, 3958, 267, 18981, 3157, 666, 581, 3362, 12747, 267, 3056, 547, 2539, 1648, 4616, 829, 851, 3812, 3379, 547, 8261, 4074, 25673, 4238, 630, 2419, 663, 19189, 330, 9618, 534, 1696, 620, 1421, 476, 1001, 278, 6393, 2026, 10423, 689, 938, 4901, 3976, 2484, 267, 10128, 10357, 7888, 2326, 2257, 3741, 883, 16669, 4702, 3340, 6297, 7156, 540, 2789, 2188, 269, 898, 19329, 11495, 513, 10347, 3666, 1063, 6639, 5647, 267, 9431, 10220, 267, 7082, 6788, 267, 543, 2825, 5539, 269, 18641, 267, 5969, 12967, 4066, 971, 607, 7537, 543, 18981, 20619, 2709, 9621, 18817, 585, 8236, 713, 11466, 269, 3414, 4797, 1382, 543, 1646, 3646, 5059, 593, 17975, 4540, 16097, 543, 12561, 3209, 3049, 560, 4169, 267, 519, 18914, 2872, 6763, 26405, 547, 5912, 2509, 811, 4264, 5663, 26336, 269, 11086, 267, 30015, 2104, 8030, 609, 513, 9488, 1620, 540, 891, 10562, 4798, 786, 7668, 873, 547, 5397, 13710, 1689, 1369, 519, 5823, 543, 3565, 25006, 547, 2518, 7391, 4478, 2916, 2962, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 519, 6385, 9687, 5251, 540, 519, 18914, 2872, 267, 519, 5610, 540, 4264, 5663, 1316, 2478, 814, 1831, 513, 11358, 1445, 269, 901, 1689, 568, 6766, 676, 513, 4999, 540, 2609, 267, 971, 607, 7453, 2825, 3652, 267, 3395, 7082, 4656, 267, 543, 519, 29287, 13287, 540, 10512, 4398, 269, 19296, 538, 519, 2361, 616, 5051, 1572, 2390, 547, 3082, 543, 3048, 622, 267, 13326, 519, 7569, 540, 10357, 7888, 2504, 609, 519, 2930, 22759, 2838, 538, 16669, 4702, 269, 634, 11944, 540, 4066, 899, 19605, 5663, 267, 2523, 476, 274, 291, 8228, 267, 2059, 609, 8856, 25700, 18981, 20619, 2533, 267, 814, 9450, 519, 7399, 538, 519, 5137, 540, 18914, 3334, 269, 1452, 4066, 711, 1152, 9153, 8476, 2773, 543, 4398, 855, 849, 5447, 609, 519, 6626, 6662, 540, 2825, 19642, 269, 1306, 649, 5490, 883, 713, 7706, 267, 513, 2930, 1620, 540, 891, 7760, 568, 2629, 585, 4648, 5275, 547, 3565, 3927, 547, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 22379, 1299, 22957, 1315, 7025, 1315, 4937, 1315, 19889, 6363, 7037, 10049, 3163, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 21992, 5516, 12020, 910, 10435, 12830, 5463, 2888, 827, 2659, 2657, 692, 5331, 596, 2811, 4743, 796, 6202, 543, 991, 547, 979, 547, 519, 4387, 269, 1809, 1018, 952, 596, 7948, 1405, 2995, 873, 875, 596, 1745, 1317, 596, 941, 1932, 7210, 547, 3717, 286, 2107, 6148, 596, 1185, 2178, 4606, 827, 1978, 5574, 855, 14201, 1405, 2111, 547, 2671, 1346, 4555, 609, 707, 3782, 2319, 269, 901, 568, 1141, 4434, 1416, 4058, 2501, 538, 256, 898, 781, 899, 2348, 513, 31387, 585, 707, 2104, 1072, 1416, 950, 596, 1522, 711, 581, 2111, 547, 5968, 707, 16858, 269, 2913, 781, 2263, 713, 1271, 1523, 1927, 780, 4089, 476, 272, 281, 1548, 568, 21992, 5516, 12020, 2496, 3849, 9330, 1416, 4058, 1797, 3206, 6619, 827, 519, 2186, 540, 2564, 2126, 596, 1131, 1616, 952, 596, 2968, 12517, 2192, 543, 8572, 547, 3717, 585, 3054, 269, 1635, 1818, 891, 3664, 1631, 267, 596, 2327, 602, 707, 7375, 786, 581, 15197, 1256, 952, 596, 3112, 2769, 873, 2663, 269, 898, 3322, 7234, 707, 2418, 267, 4978, 267, 543, 3853, 3823, 3782, 609, 707, 1920, 267, 2828, 267, 543, 7189, 780, 4089, 476, 273, 281, 5808, 9701, 6333, 21992, 5516, 12020, 2496, 4407, 621, 949, 3100, 899, 1945, 1152, 4587, 4079, 991, 547, 1589, 827, 267, 4896, 936, 519, 2085, 540, 476, 1240, 666, 4324, 689, 4434, 1416, 4058, 269, 5020, 666, 3006, 1491, 6397, 7140, 267, 865, 1373, 5423, 2337, 3025, 3238, 1107, 2523, 6068, 3283, 945, 1522, 991, 547, 1118, 2352, 5079, 593, 707, 15773, 780, 4089, 476, 274, 281, 6206, 15689, 540, 21992, 5516, 12020, 692, 2467, 616, 1896, 3334, 547, 2015, 950, 2870, 606, 4434, 1416, 1544, 1384, 272, 269, 19805, 513, 3782, 21285, 281, 589, 3782, 21285, 568, 2576, 596, 3972, 547, 1118, 2564, 3664, 585, 596, 952, 596, 1831, 8572, 547, 1118, 873, 585, 3054, 269, 5269, 2386, 713, 1268, 17358, 707, 16858, 543, 568, 6899, 8876, 856, 713, 5539, 780, 273, 269, 4197, 707, 3681, 281, 25800, 3054, 609, 1114, 2010, 540, 2564, 5574, 543, 5773, 865, 596, 666, 1118, 5483, 3664, 827, 1018, 20383, 1655, 609, 707, 2418, 543, 3853, 269, 6201, 1331, 31214, 630, 15258, 11340, 592, 14004, 759, 19895, 2787, 1070, 7344, 14910, 267, 8023, 13740, 267, 31533, 267, 543, 23080, 14306, 1416, 780, 274, 269, 12861, 2854, 6054, 281, 4518, 609, 707, 3782, 8502, 547, 1711, 16155, 11006, 6054, 971, 607, 4434, 1463, 1161, 267, 2713, 786, 338, 267, 610, 798, 27677, 9113, 19895, 10028, 9753, 269, 1452, 6054, 948, 3391, 707, 3782, 2319, 543, 6068, 3283, 1282, 4101, 2053, 780, 275, 269, 4004, 21899, 707, 16858, 281, 9181, 707, 4566, 609, 707, 1920, 2818, 267, 2673, 2828, 267, 543, 3782, 7426, 269, 11109, 1930, 7391, 5849, 3025, 6487, 707, 7375, 543, 6971, 10539, 1524, 519, 1899, 780, 4089, 476, 275, 281, 1323, 7151, 31950, 9222, 692, 25603, 16092, 267, 513, 476, 1724, 4458, 6040, 2875, 945, 14560, 4730, 13558, 269, 4438, 513, 3014, 267, 1352, 23119, 513, 4049, 2212, 5945, 543, 8813, 883, 513, 635, 320, 269, 4595, 16092, 4769, 1405, 4734, 1022, 5528, 827, 1200, 1416, 267, 1200, 3237, 1590, 6430, 2436, 547, 3136, 1272, 1489, 610, 1577, 2470, 1491, 922, 1576, 269, 1403, 16092, 1185, 7722, 538, 4434 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 1620, 519, 3681, 2139, 666, 1118, 713, 4305, 1454, 4443, 563, 763, 946, 540, 26828, 538, 16277, 850, 11700, 17007, 814, 1831, 11212, 2442, 585, 1082, 4128, 269, 589, 652, 24312, 24886, 267, 26828, 1683, 513, 2067, 23302, 1604, 799, 7512, 707, 24011, 1782, 547, 2263, 922, 10450, 9108, 269, 769, 1840, 547, 1373, 8353, 24312, 24886, 267, 1585, 2010, 540, 26828, 723, 1114, 3601, 602, 616, 1271, 585, 4509, 6099, 11195, 2157, 538, 606, 26456, 607, 1134, 607, 3246, 2556, 20086, 585, 10977, 543, 6972, 2238, 269, 2755, 972, 616, 3875, 3681, 971, 607, 24435, 21263, 610, 3037, 30012, 267, 17310, 6775, 28945, 2488, 5140, 10338, 607, 1134, 607, 9120, 17627, 1852, 1107, 1818, 621, 835, 540, 519, 1655, 5079, 585, 1022, 4816, 14854, 779, 7226, 2336, 290, 665, 14777, 6775, 28945, 849, 6411, 899, 6263, 29008, 525, 948, 1832, 30851, 693, 15922, 1247, 8195, 4543, 2226, 1697, 11195, 2157, 269, 898, 779, 1875, 3562, 13877, 543, 4465, 1406, 2014, 5945, 952, 28041, 676, 8009, 269, 9578, 267, 2094, 621, 25601, 7509, 865, 1134, 267, 621, 2337, 1711, 4998, 2175, 3330, 519, 7382, 1107, 3501, 585, 5329, 707, 2370, 835, 2922, 543, 3280, 256, 2060, 782, 891, 2640, 5916, 609, 922, 26622, 3815, 1107, 17310, 6775, 28945, 568, 5963, 606, 4998, 3903, 950, 8939, 519, 1655, 14041, 585, 707, 4816, 14854, 779, 7226, 2336, 1692, 10705, 9701, 594, 11162, 3733, 17926, 25725, 779, 26653, 888, 763, 2956, 540, 5329, 707, 4816, 14854, 779, 7382, 2973, 3112, 581, 936, 26061, 256, 1323, 11515, 534, 7226, 666, 2014, 3978, 1072, 2042, 585, 519, 24011, 1782, 267, 543, 568, 513, 2101, 3815, 538, 741, 2949, 8171, 269, 1306, 606, 4274, 593, 16015, 267, 594, 1616, 547, 2671, 930, 1898, 5796, 827, 875, 1419, 596, 1058, 1685, 5826, 593, 707, 4620, 779, 1753, 563, 2414, 2327, 602, 707, 2370, 835, 3788, 2635, 543, 6126, 267, 621, 779, 1271, 547, 1832, 909, 609, 2834, 7738, 912, 268, 4495, 513, 3018, 1107, 4628, 4894, 782, 14041, 689, 519, 7382, 543, 5372, 621, 609, 4195, 1570, 3248, 268, 3828, 823, 513, 3018, 1107, 1689, 476, 1839, 260, 540, 519, 1216, 538, 519, 7382, 3248, 268, 5272, 3923, 1107, 946, 3636, 12853, 344, 1216, 547, 28103, 1524, 1022, 11647, 610, 23598, 538, 519, 26456, 3248, 268, 645, 1014, 333, 1302, 1107, 771, 553, 14517, 543, 24846, 1125, 3388, 538, 519, 16983, 630, 10175, 6882, 264, 547, 2061, 4551, 19221, 563, 4322, 3800, 616, 2556, 711, 1152, 585, 6099, 9882, 855, 849, 1317, 789, 948, 1711, 2922, 2175, 585, 707, 14854, 3659, 269, 18227, 922, 1753, 1863, 540, 2068, 27351, 6748, 17900, 786, 17216, 1039, 1296, 547, 922, 1272, 269, 5015, 267, 713, 2241, 2943, 2500, 6296, 2337, 2226, 1434, 2011, 2298, 267, 607, 1134, 607, 2569, 2566, 2157, 676, 3246, 513, 16990, 1604, 585, 873, 547, 8853, 538, 269, 1924, 798, 3054, 543, 707, 10475, 4620, 513, 3870, 1765, 6866, 1577, 922, 2713, 20453, 1831, 18660, 610, 20495, 563, 6701, 1703, 7102, 16952, 27294, 594, 10261, 1677, 3629, 769, 3733, 25725, 779, 26335, 888, 289, 17879, 16015, 616, 835, 540, 519, 1034, 2442, 20641, 547, 1378, 607, 513, 4620, 269, 4340, 547, 2487, 1382, 267, 936, 476, 272, 2929, 4816, 16015, 723, 1044, 4421, 538, 519, 772, 2529, 269, 538, 519, 2063, 2947, 1296, 4805, 269, 23496, 707, 1007, 24011, 1782, 568, 3177, 609, 606, 7850, 7226, 568, 1898, 585, 922, 1279, 3856, 1072, 543, 1134, 5630, 563, 2691, 12391, 585, 513, 4816, 14854, 621, 779, 1271, 547, 3314, 602, 789, 991, 811, 982, 1175, 2973, 1216, 543, 1426, 282, 972, 616, 3606, 3688, 596, 1058, 1683, 1369, 741, 7226, 1932, 269, 589, 27687, 520, 6417, 8022, 14950, 610, 3002, 17689, 666, 581, 1031, 18284, 519, 26456, 547, 2226, 6099, 5210, 1107, 2356, 1472, 476, 4037, 13790, 630, 2190, 9180, 1040, 3958, 267, 11158, 289, 8654, 949, 849, 581, 2556, 4470, 593, 799, 2249, 540, 14854, 596, 723, 7550, 282, 930, 2154, 2407, 4598, 1247, 1866, 1152, 991, 9864, 4598, 538, 1931, 547, 2743, 741, 3232, 2115, 269, 769, 2474, 540, 14041, 267, 1957, 28734, 1118, 1390, 10151, 32466, 2394, 596, 6430, 952, 596, 1616, 1945, 811, 8628, 899, 5070, 610, 18574, 269, 901, 786, 948, 1832, 741, 7382, 1863, 689, 1022, 1761, 9190, 1332, 2195, 15029, 3246, 873, 609, 4313, 950, 6972, 827, 3330, 519, 26456, 563, 1103, 1840, 547, 891, 2596, 29476, 267, 2119, 4946, 930, 12748, 2371, 971, 607, 1323, 778, 30213, 610, 24125, 342, 677, 883, 707, 14854, 779, 1604, 865, 789, 723, 12341, 2922, 547, 12404, 2476, 689, 824, 10130, 543, 11975, 1058, 789, 1745, 12219, 269, 7053, 267, 1810, 1406, 7340, 7725, 543, 20847, 6229, 4773, 607, 891, 1711, 3308, 7496, 1063, 6810, 540, 741, 7226, 1818, 621, 2408, 3677, 543, 3850, 873, 547, 2263, 1510, 4743, 6534, 782, 693, 2899, 454, 1692, 2052, 594, 15681, 1403, 3733, 17926, 25725, 1772, 13245, 888, 2005, 568, 6059, 602, 936, 476, 277, 2929, 4620, 16015, 616, 538, 519, 2136, 2276, 4805, 269, 1306, 513, 14854, 4274, 267, 594, 917, 713, 3395, 7678, 540, 14854, 9562, 1797, 811, 1004, 991, 547, 1451, 875, 547, 5265, 1416, 585, 741, 24011, 13530, 269, 2290, 1271, 2460, 540, 12391, 585, 513, 4816, 14854, 568, 547, 581, 2111, 547, 5431, 952, 621, 568, 2635, 610, 711, 563, 2467, 616, 1896, 10832, 540, 1434, 1072, 950, 6313, 513, 20169, 14854, 269, 17616, 267, 922, 4064, 1058, 2408, 6505, 543, 2312, 609, 1100, 4191, 540, 1022, 11166, 610, 6531, 1465, 269, 19627, 267, 922, 7387, 1058, 1413, 6109, 1510, 1022, 25034, 725, 610, 15087, 593, 519, 2627, 269, 12059, 569, 267, 519, 2960, 1058, 1745, 5347, 543, 1139, 548, 267, 1863, 689, 6926, 332, 8460, 610, 6659, 27894, 282, 952, 707, 2370, 835, 814, 891, 2152, 621, 949, 581, 606, 16315, 540, 1945, 4636, 24323, 269, 14936, 267, 596, 1616, 547, 1118, 2386, 922, 14031, 568, 2178, 1107, 789, 3548, 1507, 5666, 4749, 2429, 519, 1554, 865, 4585, 856, 585, 1022, 2242, 972, 1932, 2336, 14454, 267, 9878, 2673, 3007, 547, 707, 1007, 24011, 1782, 779, 2168, 1533, 666, 948, 596, 3313, 2436, 621, 779, 3257, 15502, 610, 711, 269, 1403, 596, 5469, 4376, 1055, 971, 607, 29723, 1173, 344, 267, 3668, 540, 4189, 7933, 8667, 532, 267, 32396, 593, 519, 7387, 3092, 1421, 1287, 5077, 609, 513, 17022, 1318, 2476, 607, 713, 1223, 1611, 930, 2186, 540, 5817, 3390, 799, 1058, 581, 9619, 3533, 1354, 621, 3587, 8338, 563, 307, 31103, 24011, 13530, 2154, 7463, 3007, 543, 1416, 547, 2327, 789, 3914, 6099, 1072, 269, 898, 568, 1271, 585, 14854, 5411, 547, 581, 13533, 540, 741, 4816, 779, 2732, 267, 7226, 267, 543, 2949, 1072, 269, 30839, 707, 4816, 14854, 827, 2947, 2053, 513, 3018, 609, 1507, 5666, 540, 1164, 7779, 12748, 14854, 1426, 786, 1683, 519, 6484, 621, 2115, 585, 2208, 543, 1646, 269, 589, 2973, 14041, 971, 607, 5070, 610, 18574, 1058, 581, 3177, 538, 922, 7382, 2059, 609, 7899, 540, 15720, 9634, 1500, 689, 7725, 610, 20847, 6229, 269, 769, 1840, 267, 7928, 1216, 2242, 616, 2556, 547, 1832, 519, 1604, 2922, 543, 2635, 269, 7053, 267, 2834, 5464, 666, 948, 3713, 1022, 4191, 602, 1945, 1522, 711, 581, 1318, 282, 952, 972, 568, 1022, 1689, 538, 2623, 610, 14031, 267, 18915, 5796, 1058, 581, 8179, 5612, 563, 1103, 3932, 267, 9870, 513, 2635, 4816, 14854, 3340, 11428, 543, 7029, 593, 15773, 540, 922, 1183, 4177, 269, 3414, 3246, 606, 3617, 7226, 267, 1697, 6484, 267, 5812, 7738, 6208, 543, 21713, 5464, 267, 596, 666, 1964, 21407, 6616, 602, 596, 616, 4758, 707, 1007, 4620, 519, 1655, 2009, 1376, 538, 1272, 1107, 4180, 621, 9428, 909, 2178, 543, 6126, 256, 3244, 850, 666, 581, 1031, 1934, 547, 11168, 713, 1448, 281, 1175, 899, 513, 2385, 12391, 585, 741, 20169, 1126, 267, 865, 1932, 1281, 513, 3743, 14854, 8227, 991, 547, 20741, 741, 1762, 5279, 2394, 15296, 563, 5649, 849, 910, 17312, 22870, 704, 0, 7712, 519, 476, 3707, 271, 338, 513, 1895, 540, 812, 13402, 6464, 267, 13526, 1663, 19660, 1779, 2643, 6219, 630, 303, 293, 3008, 1070, 723, 1044, 14475, 543, 1031, 538, 513, 3099, 540, 6080, 543, 10820, 269, 1635, 476, 1001, 276, 16501, 943, 1078, 856, 1079, 540, 519, 21668, 3008, 7135, 543, 9783, 513, 2657, 27545, 269, 21086, 267, 543, 824, 2829, 267, 616, 2921, 3800, 547, 2232, 519, 4527, 540, 891, 17694, 602, 616, 1336, 538, 6704, 1216, 7727, 543, 16894, 1949, 269, 901, 6881, 786, 581, 606, 7650, 540, 519, 3601, 540, 519, 3114, 267, 922, 1072, 2360, 267, 543, 519, 1382, 267, 519, 2591, 547, 8495, 267, 6895, 267, 1521, 543, 2508, 713, 5739, 21668, 3008, 3114, 12526, 563, 1607, 1362, 568, 1373, 6035, 585, 17676, 998, 681, 7644, 23354, 779, 16501, 14502, 26859, 543, 9751, 5358, 269, 0, 289, 539, 30471, 616, 26070, 29744, 267, 13617, 1652, 7786, 602, 616, 2356, 1063, 2185, 543, 5722, 28935, 1765, 12671, 519, 2450, 540, 606, 11945, 6079, 269, 1358, 2461, 24814, 8032, 609, 3670, 7953, 543, 1079, 13494, 333, 2801, 269, 5901, 538, 2247, 602, 972, 616, 824, 7786, 602, 666, 581, 3362, 19451, 585, 5127, 30471, 1519, 7904, 553, 267, 561, 823, 267, 543, 4816, 15483, 30294, 563, 1692, 798, 596, 917, 952, 596, 723, 5127, 30471, 888, 15371, 621, 779, 707, 1753, 610, 711, 267, 621, 666, 581, 2352, 547, 5469, 952, 5127, 30471, 723, 3144, 909, 15335, 269, 10705, 267, 1004, 5469, 519, 12961, 685, 17486, 593, 741, 2960, 267, 799, 616, 2356, 11231, 538, 3515, 610, 13421, 269, 898, 779, 2009, 267, 1498, 16613, 267, 547, 5544, 5127, 30471, 538, 3406, 540, 513, 7594, 887, 5446, 11884, 593, 519, 6989, 610, 6821, 269, 1656, 538, 519, 2013, 540, 606, 3665, 23588, 267, 596, 949, 5469, 513, 15280, 267, 18473, 17627, 563, 1103, 2489, 267, 519, 15864, 1259, 547, 2697, 513, 5127, 30132, 568, 547, 1265, 873, 538, 741, 15720, 4025, 269, 1403, 596, 14353, 513, 2009, 23588, 267, 2638, 15135, 267, 11647, 267, 1769, 17176, 267, 543, 519, 3774, 2230, 1472, 707, 5127, 269, 769, 1840, 547, 519, 12961, 2933, 267, 596, 786, 2693, 1294, 3109, 608, 920, 618, 543, 2699, 29744, 880, 8774, 4765, 16115, 563, 2252, 596, 14353, 513, 5127, 30132, 23588, 855, 10093, 1406, 1336, 513, 9566, 267, 513, 3318, 11641, 1852, 2754, 666, 5351, 538, 8159, 2436, 596, 798, 267, 538, 1249, 267, 723, 513, 5127, 30132, 1966, 543, 1287, 22942, 741, 4087, 952, 596, 798, 563, 1692, 547, 2061, 5127, 30471, 454, 763, 1655, 1259, 547, 4308, 609, 5127, 30471, 568, 547, 2760, 1205, 873, 538, 519, 1101, 1747, 269, 4595, 519, 7068, 1419, 554, 3558, 513, 11878, 593, 561, 10212, 720, 610, 2034, 11804, 5370, 267, 2015, 891, 4388, 950, 10707, 610, 9140, 21305, 3688, 563, 4002, 519, 4155, 454, 2691, 10707, 267, 2141, 8524, 519, 15678, 4055, 596, 2461, 9363, 538, 585, 513, 2009, 3968, 269, 6744, 519, 15174, 267, 1212, 1162, 267, 543, 9207, 728, 540, 513, 20974, 816, 267, 543, 1413, 585, 1312, 519, 4890, 5127, 30471, 543, 1507, 9634, 540, 1973, 267, 799, 666, 5815, 789, 2461, 1459, 269, 1677, 2061, 2921, 5127, 30471, 1753, 609, 596, 267, 1832, 707, 9290, 13826, 6806, 8164, 2009, 543, 1810, 1406, 2322, 621, 593, 519, 5127, 269, 4495, 596, 1205, 1753, 267, 26763, 856, 707, 9290, 13826, 543, 11547, 1022, 9660, 610, 824, 17234, 602, 941, 14095, 538, 621, 563, 2252, 596, 723, 4128, 547, 1589, 596, 949, 723, 8120, 1753, 609, 5127, 30471, 267, 1491, 707, 27445, 538, 513, 6806, 9126, 2047, 689, 707, 9290, 13826, 547, 707, 11067, 3684, 543, 11547, 621, 609, 3905, 1216, 269, 1411, 666, 849, 8900, 707, 9290, 13826, 936, 707, 8602, 30344, 1101, 269, 1411, 949, 581, 2111, 547, 5544, 519, 2699, 29744, 7786, 1996, 513, 3043, 4282, 269, 0, 8794, 3778, 547, 27010, 29034, 2033, 8111, 661, 2466, 1562, 454, 763, 682, 1136, 540, 15655, 267, 835, 540, 519, 1034, 14984, 8511, 9362, 267, 883, 519, 5790, 568, 1419, 4330, 607, 513, 13357, 540, 519, 862, 976, 269, 634, 1523, 568, 5432, 547, 24192, 281, 3962, 15865, 13451, 3790, 519, 2898, 4541, 267, 2943, 972, 568, 2370, 24539, 585, 519, 2754, 610, 1367, 3297, 513, 13451, 547, 11690, 519, 856, 6503, 563, 1103, 2487, 1296, 267, 3744, 1210, 18342, 26563, 4394, 6378, 547, 15408, 543, 27858, 723, 17048, 4240 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2421, 7905, 13198, 580, 328, 674, 2632, 3570, 267, 11660, 10615, 267, 8176, 3131, 9469, 10418, 681, 5183, 18669, 267, 634, 2160, 540, 17638, 454, 7197, 2635, 1004, 1058, 4235, 1216, 267, 1732, 5614, 1216, 267, 610, 513, 3099, 540, 16909, 29225, 1152, 950, 789, 1745, 19818, 344, 269, 2311, 519, 1482, 942, 267, 789, 1058, 8532, 513, 2732, 3638, 538, 5388, 267, 4829, 267, 2898, 9274, 267, 10365, 267, 5452, 543, 10808, 267, 1247, 9319, 267, 607, 1454, 607, 2009, 267, 16600, 3491, 947, 539, 3536, 3638, 538, 3773, 6070, 543, 4006, 1606, 11548, 2989, 16098, 563, 18455, 1134, 31622, 3603, 568, 2629, 585, 6099, 1072, 269, 1809, 538, 2635, 2043, 519, 20697, 4567, 568, 711, 1152, 6766, 676, 1018, 649, 4235, 855, 849, 676, 519, 2298, 540, 1426, 649, 3548, 563, 13707, 1216, 6981, 568, 1271, 855, 513, 1883, 1909, 568, 5129, 676, 519, 3617, 6981, 540, 9770, 267, 11379, 543, 5946, 689, 519, 2732, 269, 634, 17669, 608, 17917, 540, 7050, 5666, 540, 9770, 543, 540, 519, 1439, 1790, 20094, 540, 3940, 10307, 3340, 1804, 5666, 540, 1216, 269, 4475, 267, 10438, 513, 2647, 2039, 540, 1216, 543, 11379, 3638, 3536, 971, 607, 5388, 267, 5613, 267, 11273, 2898, 9274, 543, 10365, 568, 1883, 547, 938, 8171, 563, 4002, 519, 824, 1688, 267, 649, 991, 547, 2569, 519, 4616, 540, 9268, 3536, 3638, 538, 6070, 543, 3662, 5946, 547, 7413, 519, 1981, 540, 7050, 1216, 2530, 269, 2986, 1576, 267, 824, 2188, 971, 607, 2085, 267, 3023, 543, 930, 10236, 6248, 4162, 616, 849, 12018, 20697, 563, 2690, 1383, 267, 2635, 1453, 723, 2362, 1216, 4170, 982, 1346, 540, 2635, 4079, 267, 1317, 540, 741, 2362, 1560, 2627, 547, 1560, 2527, 5223, 267, 799, 3123, 3152, 1216, 2530, 998, 519, 2960, 269, 5047, 267, 1216, 24826, 3928, 4473, 609, 2810, 1560, 2597, 267, 1317, 540, 519, 2362, 10894, 2557, 267, 1648, 4170, 267, 543, 1426, 4616, 269, 0, 1103, 2221, 779, 3728, 19550, 960, 1604, 267, 621, 779, 2653, 547, 1205, 9575, 909, 538, 519, 554, 755, 548, 543, 11861, 548, 540, 519, 1554, 543, 7340, 547, 1491, 1416, 540, 6000, 269, 3509, 540, 721, 960, 1279, 3108, 267, 18178, 9397, 267, 543, 15093, 938, 2123, 942, 585, 519, 19160, 540, 938, 6009, 269, 1717, 267, 621, 779, 1898, 547, 1305, 6302, 538, 519, 9036, 952, 649, 616, 547, 2226, 938, 8171, 543, 7607, 563, 30787, 6302, 568, 2565, 547, 4509, 513, 2635, 960, 3734, 3666, 269, 21940, 2456, 948, 721, 1711, 513, 2922, 543, 6899, 1604, 1141, 649, 666, 1445, 593, 938, 960, 1510, 27531, 938, 2790, 543, 2168, 1072, 563, 2080, 616, 930, 4052, 2081, 547, 3715, 6302, 538, 707, 9036, 912, 268, 8298, 1055, 960, 693, 513, 10257, 5662, 281, 3509, 540, 721, 723, 513, 4356, 540, 2921, 938, 960, 1753, 610, 2324, 936, 5503, 267, 855, 713, 666, 581, 17672, 547, 938, 1072, 269, 5590, 513, 10853, 942, 547, 2845, 1055, 689, 960, 543, 6529, 547, 621, 269, 901, 786, 948, 596, 3715, 513, 6296, 543, 513, 5943, 585, 960, 3734, 3666, 1421, 898, 786, 849, 2569, 519, 4960, 540, 25794, 563, 268, 6875, 9397, 281, 898, 779, 1271, 547, 1491, 2834, 2110, 9397, 2429, 519, 1554, 547, 22507, 543, 29295, 707, 2247, 269, 6601, 6545, 666, 948, 596, 1201, 1371, 267, 2569, 2566, 267, 543, 2333, 7607, 269, 5269, 2386, 547, 1491, 2110, 9397, 1169, 5662, 610, 865, 543, 513, 811, 6905, 2736, 585, 12899, 563, 268, 853, 4958, 577, 543, 1847, 281, 590, 9231, 538, 4395, 540, 513, 2780, 585, 6905, 5712, 666, 1291, 547, 20765, 543, 1560, 31191, 269, 6875, 930, 942, 547, 12701, 707, 7953, 543, 7916, 267, 1847, 707, 8405, 543, 17525, 267, 1796, 909, 543, 3802, 1472, 563, 268, 3619, 585, 513, 3802, 3544, 281, 14171, 513, 3802, 3544, 666, 581, 606, 5140, 1259, 547, 29295, 707, 2247, 543, 2087, 707, 7099, 269, 15775, 930, 4195, 2011, 543, 7943, 666, 948, 2569, 2566, 267, 2333, 1445, 267, 543, 5818, 4606, 540, 8171, 563, 268, 5213, 1406, 3548, 12899, 693, 707, 11380, 281, 14856, 12899, 693, 707, 11380, 666, 581, 4831, 335, 8793, 269, 1403, 596, 1491, 513, 2736, 543, 1900, 2476, 689, 707, 29683, 1282, 12899, 621, 666, 948, 596, 6001, 543, 22507, 269, 1411, 666, 849, 946, 713, 942, 547, 1921, 609, 9164, 543, 1628, 3347, 563, 268, 17166, 1100, 950, 2877, 281, 17553, 6302, 1797, 1373, 2111, 547, 2161, 1100, 950, 596, 991, 547, 269, 898, 779, 15502, 547, 7771, 513, 7662, 610, 15518, 622, 4247, 547, 2576, 3116, 952, 596, 1745, 16397, 269, 6258, 547, 3922, 1047, 707, 24913, 543, 2161, 1100, 547, 1919, 602, 1810, 1406, 5447, 609, 707, 3853, 543, 2418, 563, 10673, 1406, 11099, 721, 286, 6744, 856, 519, 28135, 2336, 10932, 814, 3254, 602, 4259, 6302, 538, 519, 9036, 666, 723, 513, 2318, 1764, 593, 9441, 1134, 5630, 543, 7607, 269, 3371, 616, 930, 7194, 602, 1489, 519, 2956, 540, 9591, 6302, 912, 268, 7043, 960, 3108, 543, 25794, 281, 4340, 547, 513, 1353, 676, 519, 2622, 2657, 25944, 267, 1279, 2324, 3108, 616, 3743, 585, 5111, 476, 278, 3393, 267, 1822, 7972, 12422, 1813, 547, 8482, 543, 29769, 545, 2295, 2068, 269, 22210, 719, 267, 799, 568, 3361, 676, 12675, 2566, 267, 568, 1776, 12343, 540, 1279, 960, 3108, 543, 666, 1291, 547, 2168, 543, 2790, 1072, 2042, 563, 268, 6601, 6545, 543, 7607, 281, 14171, 9397, 2429, 519, 1554, 666, 2965, 5818, 7607, 269, 4340, 547, 513, 1353, 676, 30325, 11742, 267, 519, 1034, 11327, 5520, 960, 585, 476, 7367, 3764, 543, 1287, 1491, 513, 2736, 585, 476, 1704, 3764, 269, 14171, 9397, 666, 948, 29295, 519, 2247, 543, 2333, 1445, 267, 3056, 547, 4824, 7607, 563, 268, 30482, 2238, 543, 2566, 5786, 281, 589, 1353, 3370, 538, 519, 4750, 540, 7025, 10017, 1336, 602, 7836, 942, 13964, 666, 948, 2569, 2566, 2157, 269, 634, 1353, 1336, 2043, 945, 6170, 1175, 476, 736, 3764, 538, 2470, 4810, 513, 1713, 5786, 538, 23280, 267, 513, 9449, 2404, 609, 2566, 563, 268, 590, 11691, 1100, 543, 960, 20358, 281, 589, 1353, 3370, 538, 519, 4750, 540, 11930, 10017, 1336, 6031, 1100, 547, 13668, 693, 960, 666, 1291, 547, 4824, 1134, 5630, 269, 634, 1353, 1336, 5520, 945, 1185, 2362, 2157, 540, 2816, 7569, 855, 2539, 2157, 540, 1852, 936, 741, 960, 4810, 3152, 2566, 543, 25794, 563, 3528, 4259, 6302, 543, 1316, 2358, 1582, 13282, 538, 519, 9036, 267, 5520, 666, 2087, 741, 8171, 267, 2569, 2566, 267, 543, 2333, 741, 7607, 269, 1924, 267, 1491, 930, 942, 547, 3715, 707, 6302, 543, 28231, 519, 2640, 540, 513, 8902, 960, 1604, 269, 0, 16215, 476, 30156, 1107, 16373, 593, 16353, 454, 288, 574, 540, 713, 1770, 454, 300, 9394, 3457, 723, 2919, 711, 1152, 538, 946, 855, 849, 538, 519, 1374, 543, 3099, 540, 8800, 2139, 269, 3245, 5985, 11436, 609, 1257, 6703, 547, 16389, 543, 14342, 267, 5985, 3457, 1631, 2709, 513, 2039, 540, 3252, 267, 3029, 543, 7207, 563, 1607, 1770, 3340, 6267, 547, 6542, 875, 5985, 6725, 2553, 666, 581, 6964, 538, 519, 2949, 6725, 6859, 540, 513, 1870, 269, 22996, 1590, 1174, 519, 1761, 540, 4066, 543, 2697, 6725, 3255, 563, 7075, 2996, 786, 581, 2111, 547, 2491, 513, 2039, 540, 4066, 543, 2188, 543, 4019, 2872, 1655, 2259, 1702, 543, 1983, 547, 15974, 2093, 585, 3156, 2861, 543, 4087, 16477, 3435, 585, 513, 1870, 27360, 7566, 6662, 269, 769, 1840, 267, 6267, 786, 581, 2111, 547, 2015, 3656, 543, 5683, 2152, 543, 2015, 8818, 1374, 2152, 563, 272, 269, 13760, 875, 519, 22464, 540, 5985, 4066, 5540, 6725, 454, 763, 11944, 540, 5985, 4066, 814, 19117, 519, 1259, 649, 798, 6725, 2221, 269, 2060, 811, 1004, 17034, 519, 4950, 689, 741, 11436, 543, 14342, 267, 621, 779, 1831, 1898, 585, 4213, 547, 723, 513, 5985, 7888, 4527, 538, 1931, 547, 3914, 1761, 5561, 563, 300, 9394, 6725, 2994, 1590, 581, 3358, 4481, 585, 713, 5304, 267, 607, 789, 8428, 3648, 689, 2757, 18376, 3755, 1312, 538, 741, 7375, 543, 19326, 269, 901, 1797, 602, 2344, 619, 1590, 581, 3222, 540, 875, 2189, 5985, 2029, 568, 950, 3384, 11044, 267, 607, 1134, 607, 1174, 1946, 621, 779, 865, 1271, 547, 2015, 891, 3604, 950, 2870, 1543, 563, 3528, 9301, 519, 3982, 4369, 540, 5985, 2029, 543, 14577, 707, 20261, 9935, 267, 596, 666, 11694, 707, 8458, 540, 1967, 609, 1022, 2016, 5859, 563, 3080, 540, 519, 7887, 3604, 1063, 18376, 543, 5985, 3755, 568, 741, 19855, 6208, 269, 16353, 3755, 616, 3335, 811, 7722, 982, 1346, 593, 2757, 11380, 339, 3591, 267, 7836, 606, 3328, 540, 476, 9262, 260, 811, 942, 1369, 8924, 543, 1210, 513, 9962, 2039, 540, 3457, 563, 1607, 1797, 602, 789, 616, 7683, 15175, 1394, 543, 8521, 1063, 1114, 8924, 267, 1818, 621, 2629, 547, 1711, 1543, 602, 786, 9029, 547, 891, 3755, 2066, 2789, 9055, 563, 12234, 267, 621, 779, 1271, 547, 1174, 602, 5985, 3755, 723, 1114, 3853, 982, 1346, 593, 2757, 5904, 269, 16353, 3755, 616, 3335, 811, 5059, 593, 4466, 1344, 3533, 267, 799, 1797, 602, 707, 1543, 2115, 547, 581, 13801, 543, 2653, 547, 7558, 538, 1931, 585, 873, 547, 1832, 19855, 998, 707, 3135, 610, 813, 563, 5194, 1883, 3017, 1063, 18376, 543, 5985, 3755, 568, 741, 1377, 540, 2930, 1702, 269, 16353, 3755, 4043, 547, 581, 1447, 5432, 609, 2029, 543, 949, 711, 723, 519, 1482, 1377, 540, 2930, 6791, 607, 18376, 3755, 798, 563, 2026, 513, 1267, 267, 789, 616, 1447, 2693, 547, 1174, 1022, 3822, 610, 2930, 2474, 602, 596, 946, 538, 707, 1543, 269, 901, 1797, 602, 596, 786, 991, 547, 1832, 1919, 2241, 543, 2057, 1210, 1950, 1893, 602, 666, 581, 3362, 29144, 563, 14454, 267, 621, 779, 1898, 547, 5431, 875, 519, 22464, 540, 5985, 4066, 5222, 6725, 2994, 269, 1635, 1620, 519, 1808, 7375, 543, 19326, 540, 891, 3755, 267, 596, 666, 1711, 811, 2500, 11044, 602, 13469, 609, 713, 5304, 269, 6787, 596, 2461, 3384, 1543, 585, 513, 3896, 610, 606, 813, 267, 621, 779, 2629, 547, 20688, 707, 20261, 547, 9029, 547, 5985, 3755, 543, 11694, 707, 8458, 540, 1967, 563, 272, 269, 272, 21414, 875, 519, 2189, 18125, 540, 5985, 3457, 1683, 3255, 585, 5985, 6725, 454, 7197, 1004, 1131, 3858, 602, 5985, 3457, 723, 1185, 513, 7096, 1764, 593, 519, 1259, 649, 2661, 543, 960, 269, 1809, 1018, 1082, 1004, 1810, 1406, 8275, 568, 519, 6708, 547, 799, 5985, 3457, 723, 19117, 6725, 543, 2792, 563, 763, 18451, 18709, 540, 5985, 3457, 814, 4957, 519, 1259, 602, 1004, 2170, 609, 519, 1158, 269, 16373, 543, 2792, 609, 6800, 1590, 1631, 1491, 883, 2272, 519, 1249, 602, 1004, 616, 7683, 4448, 547, 741, 11436, 543, 824, 5985, 3457, 563, 300, 9394, 3457, 2709, 606, 13778, 1377, 540, 13418, 543, 8112, 585, 14379, 609, 707, 3077, 5304, 269, 1411, 666, 3914, 873, 20471, 267, 9170, 267, 609, 1175, 513, 1906, 512, 2355, 593, 707, 5496, 269, 1656, 7064, 547, 519, 5767, 8441, 538, 5985, 2029, 267, 596, 666, 1631, 5838, 7317, 267, 2502, 1543, 602, 786, 1832, 873, 4947, 1394, 585, 811, 563, 5278, 540, 519, 1883, 2640, 540, 5985, 3457, 585, 6725, 543, 2792, 1331, 912, 23114, 2230, 1107, 1635, 741, 1360, 2470, 267, 5985, 3457, 1683, 513, 2631, 540, 7834, 543, 2123, 2230, 269, 901, 2636, 3755, 547, 4497, 609, 707, 6216, 538, 513, 811, 6899, 267, 13680, 1259, 1107, 799, 666, 1291, 547, 2362, 2157, 540, 6278, 543, 1732, 2164, 563, 23114, 2213, 1543, 1107, 8729, 547, 8441, 538, 5985, 2029, 267, 596, 666, 1631, 1711, 543, 5838, 3810, 16419, 1543, 602, 568, 3358, 4481, 547, 519, 2115, 267, 4690, 267, 543, 7375, 540, 707, 3077, 5304, 269, 6787, 596, 616, 12419, 19420, 976, 267, 3260, 687, 267, 610, 2027, 3091, 3842, 1257, 5048, 610, 2870, 7317, 8924, 585, 707, 3896, 610, 1514, 2923, 3760, 267, 5985, 3457, 2285, 596, 519, 2702, 547, 1683, 4010, 1018, 707, 5561, 1616, 1107, 950, 789, 1616, 621, 563, 23114, 2582, 3593, 1107, 769, 1840, 267, 519, 10531, 2470, 540, 5985, 3457, 1797, 602, 1142, 1367, 3593, 568, 811, 2693, 547, 2070, 707, 5048, 607, 4143, 543, 3358, 4481, 585, 873, 269, 901, 666, 1291, 547, 2362, 2157, 540, 3972, 543, 6278, 267, 799, 616, 2565, 585, 4509, 2318, 6075, 3347, 563, 27650, 1797, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17316, 15727, 543, 4963, 9071, 2670, 2099, 1713, 5933, 538, 519, 11144, 540, 5312, 6797, 3676, 269, 1452, 2175, 4125, 7050, 13250, 540, 29414, 5119, 5946, 1369, 519, 6797, 267, 3056, 547, 23673, 540, 922, 6189, 543, 15176, 1599, 269, 2755, 972, 616, 1585, 3123, 540, 6797, 27470, 543, 4963, 9071, 2670, 267, 971, 607, 10194, 17537, 267, 4568, 6057, 267, 543, 16991, 4713, 267, 10894, 14524, 2404, 609, 8377, 814, 7153, 607, 513, 7986, 23784, 547, 741, 1646, 269, 901, 4901, 786, 5490, 883, 519, 1950, 16799, 1851, 8377, 267, 1875, 17038, 4022, 545, 9761, 6797, 2068, 630, 2793, 14566, 291, 1070, 7378, 4187, 267, 543, 6797, 27470, 11305, 597, 9071, 2670, 780, 2414, 2253, 267, 621, 781, 1898, 547, 1174, 602, 8377, 568, 6353, 676, 9450, 28539, 13920, 1813, 547, 4430, 1648, 6981, 3448, 547, 18820, 269, 1520, 760, 22889, 29998, 15577, 543, 5409, 25936, 1267, 538, 2799, 21131, 540, 605, 514, 11987, 29299, 543, 2447, 758, 1149, 267, 9591, 513, 1533, 540, 1970, 17263, 6553, 269, 3958, 267, 28341, 8084, 20188, 18254, 4386, 538, 1585, 8219, 267, 1519, 519, 6797, 267, 20258, 4887, 267, 2295, 267, 543, 18558, 267, 2417, 12615, 908, 5160, 3441, 543, 5009, 7378, 4187, 269, 6184, 6081, 4187, 4016, 547, 519, 4389, 2702, 540, 2281, 547, 4431, 14013, 547, 7378, 15202, 267, 4611, 538, 15176, 7280, 19718, 543, 13345, 269, 3683, 942, 267, 891, 32677, 725, 666, 1291, 547, 519, 1646, 540, 19364, 14566, 291, 267, 799, 13315, 513, 8552, 540, 2175, 8151, 689, 2241, 646, 31154, 2848, 520, 2670, 630, 3147, 636, 1637, 540, 27831, 1938, 1369, 14817, 14231, 264, 547, 811, 4359, 3029, 540, 1875, 17038, 4022, 545, 2848, 6737, 515, 6312, 4345, 630, 2793, 17239, 1070, 27470, 267, 543, 6038, 267, 4963, 9071, 2670, 780, 763, 3169, 6127, 5817, 519, 5912, 689, 2848, 520, 2670, 547, 7730, 295, 543, 11636, 27470, 2611, 18106, 569, 6956, 282, 2705, 267, 1896, 19165, 723, 1044, 6069, 269, 634, 834, 18314, 3620, 527, 8367, 257, 29102, 602, 3119, 1202, 6699, 267, 971, 607, 19842, 2566, 13251, 676, 24197, 14524, 267, 1439, 32194, 1427, 545, 4918, 630, 2207, 264, 2566, 267, 543, 9067, 25570, 640, 267, 22740, 1125, 519, 6797, 547, 6281, 16125, 5473, 6553, 267, 4761, 11852, 267, 543, 1527, 756, 4088, 545, 15128, 269, 2859, 5063, 267, 519, 834, 20123, 2118, 6252, 5734, 8367, 257, 814, 6591, 3870, 267, 11021, 602, 2789, 21276, 3157, 3565, 547, 519, 1646, 543, 11144, 540, 19364, 14566, 291, 269, 17859, 540, 519, 5730, 7271, 4433, 1070, 20387, 2963, 7028, 513, 2565, 1909, 585, 7378, 4187, 538, 1199, 11868, 519, 4720, 540, 19364, 14566, 291, 2509, 4359, 27470, 543, 4963, 9071, 2670, 780, 1103, 519, 2796, 540, 519, 27069, 2546, 1349, 267, 3173, 5342, 513, 3444, 22891, 1353, 14236, 519, 7681, 1063, 646, 31154, 2848, 520, 2670, 543, 27470, 609, 3309, 3800, 540, 7378, 8417, 538, 2043, 609, 4049, 8377, 543, 1826, 476, 273, 3987, 22577, 630, 307, 273, 19699, 1040, 22034, 6419, 16982, 9196, 630, 28122, 264, 543, 519, 8476, 6797, 27470, 630, 23852, 264, 1449, 267, 789, 6059, 6797, 3170, 6824, 630, 299, 13697, 264, 543, 519, 4110, 540, 27470, 267, 6606, 269, 3414, 5711, 543, 32326, 7280, 10892, 4255, 267, 789, 6508, 9193, 540, 7378, 8417, 1210, 670, 6865, 288, 273, 306, 543, 631, 1846, 19085, 17523, 269, 4014, 9756, 1281, 711, 17538, 1757, 1275, 267, 741, 4681, 2303, 602, 2362, 700, 13697, 543, 20700, 293, 8464, 30136, 3648, 609, 8338, 7378, 8417, 267, 5885, 519, 10206, 602, 646, 31154, 2848, 520, 2670, 543, 27470, 949, 4196, 607, 3407, 30661, 540, 3541, 6548, 7280, 27921, 538, 713, 3461, 2551, 780, 19950, 5944, 267, 6932, 1239, 5815, 602, 6797, 27470, 3294, 949, 28511, 7378, 4187, 3842, 3982, 7636, 6127, 269, 1280, 3236, 267, 15181, 646, 31154, 588, 749, 622, 2281, 630, 9391, 12336, 28931, 1492, 3119, 1198, 528, 2281, 3743, 585, 27510, 543, 9070, 908, 4017, 4088, 8412, 1765, 17647, 1044, 3254, 547, 2769, 543, 694, 4740, 3875, 2188, 26582, 538, 519, 31630, 540, 7378, 4187, 269, 13018, 267, 13321, 2208, 3815, 12498, 630, 307, 24427, 268, 15512, 1070, 1437, 514, 589, 267, 24561, 5160, 2208, 3815, 630, 6311, 24427, 1070, 543, 9842, 2381, 4094, 1437, 1807, 28166, 268, 272, 630, 5183, 296, 268, 272, 264, 723, 782, 7152, 1761, 9525, 538, 1110, 6819, 7378, 2962, 269, 5015, 267, 1612, 659, 9068, 4205, 1063, 15101, 12336, 543, 11105, 14817, 14231, 2408, 547, 1404, 2629, 5107, 538, 7586, 4328, 2199, 7378, 4187, 998, 1313, 18355, 543, 1612, 659, 9068, 17787, 269, 769, 9759, 267, 891, 7422, 5031, 519, 6228, 540, 513, 23483, 5955, 8520, 13296, 7378, 4187, 8992, 6797, 27470, 267, 1247, 4017, 549, 6776, 2242, 598, 14287, 4492, 7378, 4187, 780, 2026, 938, 2486, 12066, 956, 609, 2810, 24675, 540, 8377, 267, 570, 273, 19699, 267, 543, 2404, 32435, 885, 267, 1620, 519, 15982, 4296, 16046, 10894, 7988, 28832, 267, 646, 31154, 2848, 520, 2670, 267, 543, 27470, 3587, 14063, 269, 1635, 19586, 1782, 519, 12947, 13895, 3344, 12044, 713, 1950, 683, 343, 639, 267, 3173, 2832, 547, 2697, 3209, 9354, 9072, 5827, 540, 14443, 532, 17672, 9979, 6117, 2068, 11144, 269, 11086, 267, 2038, 6304, 2994, 3358, 2509, 993, 601, 1640, 908, 7378, 4187, 543, 4227, 646, 31154, 3170, 13250, 3180, 9153, 585, 22887, 15070, 19654, 3524, 601, 2801, 267, 5732, 7303, 610, 8488, 532, 519, 12614, 540, 27676, 8374, 971, 607, 4963, 9071, 2670, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10112, 27937, 1063, 646, 31154, 2848, 520, 2670, 543, 27470, 609, 3800, 540, 7378, 8417, 538, 2550, 609, 4049, 8377, 543, 1826, 476, 273, 3987, 910, 513, 3444, 22891, 1353, 454, 289, 10157, 30887, 10938, 1108, 4320, 476, 2420, 267, 9137, 1297, 281, 476, 275, 4366, 630, 1708, 273, 994, 11917, 7295, 267, 1875, 17038, 4022, 545, 9761, 6797, 2068, 630, 2793, 14566, 291, 264, 543, 7378, 4187, 616, 1614, 27690, 2175, 3810, 17047, 267, 855, 713, 2078, 568, 711, 4628, 19286, 730, 269, 9747, 267, 649, 6322, 547, 2708, 519, 7681, 540, 646, 31154, 2848, 520, 2670, 543, 27470, 609, 1114, 3800, 540, 7378, 8417, 538, 2550, 609, 4049, 8377, 543, 1826, 476, 273, 3987, 22577, 630, 307, 273, 19699, 1916, 288, 3444, 22891, 1353, 630, 302, 572, 6199, 4693, 264, 1519, 2550, 609, 570, 273, 19699, 5219, 585, 536, 926, 6222, 6391, 693, 966, 652, 19507, 11233, 11565, 267, 16157, 269, 25080, 16982, 9196, 630, 28122, 264, 543, 519, 8476, 6797, 27470, 630, 23852, 264, 1449, 729, 1031, 585, 16759, 540, 6797, 3170, 6824, 630, 299, 13697, 264, 543, 4110, 540, 27470, 267, 6606, 269, 17327, 543, 32326, 7280, 10892, 4255, 941, 4294, 585, 16759, 540, 7378, 8417, 630, 295, 6865, 288, 273, 306, 267, 8575, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 756, 15727, 543, 19449, 9071, 2670, 257, 607, 851, 540, 834, 25503, 1315, 22031, 26331, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1626, 281, 10289, 3776, 645, 3672, 609, 22387, 1155, 11525, 525, 692, 5331, 1373, 2111, 547, 1413, 3330, 707, 1560, 899, 621, 781, 513, 9649, 9814, 4216, 256, 12207, 723, 1044, 2324, 2182, 547, 1020, 2645, 602, 666, 948, 721, 1174, 1018, 781, 8345, 1369, 938, 4703, 693, 513, 1360, 6263, 1377, 269, 2290, 971, 3926, 568, 1572, 513, 834, 2889, 2041, 2437, 799, 568, 513, 1507, 6293, 1031, 547, 4983, 610, 2268, 1945, 269, 1452, 28525, 616, 865, 1507, 789, 666, 3514, 883, 9395, 5624, 543, 1683, 3407, 1344, 827, 938, 1072, 780, 4131, 781, 1491, 513, 6251, 1413, 693, 875, 891, 20538, 28525, 960, 998, 606, 1383, 5473, 519, 5023, 269, 9894, 596, 917, 602, 930, 2242, 538, 2281, 538, 707, 5023, 1223, 1291, 547, 811, 3978, 2042, 286, 6884, 267, 1978, 2127, 540, 707, 5023, 1522, 1831, 8697, 1813, 547, 1919, 899, 7296, 267, 7050, 4568, 4616, 267, 610, 1256, 1175, 21400, 10269, 269, 1879, 713, 4523, 267, 1346, 8697, 2281, 949, 1376, 1969, 532, 8335, 982, 3339, 2635, 3283, 269, 901, 2783, 568, 1634, 607, 834, 7394, 6566, 7955, 3599, 2437, 1141, 519, 4299, 1858, 814, 519, 1761, 547, 2490, 883, 2860, 952, 2451, 15860, 780, 3086, 1934, 2501, 519, 4277, 851, 1107, 3744, 1616, 547, 1265, 2081, 547, 3713, 1022, 2038, 4191, 540, 8373, 1354, 789, 1831, 1932, 4049, 269, 1358, 946, 2027, 18784, 28525, 547, 1353, 891, 3348, 22083, 748, 2281, 909, 2673, 269, 1635, 3257, 713, 267, 3173, 4126, 547, 1451, 811, 827, 1946, 891, 2281, 13789, 8335, 543, 3605, 1732, 2409, 547, 1521, 873, 780, 2414, 2285, 596, 606, 2856, 540, 875, 5863, 891, 28525, 616, 267, 4952, 2348, 513, 3172, 4328, 4837, 602, 13071, 596, 1294, 3615, 1454, 4130, 982, 513, 2582, 18843, 540, 4552, 256, 2060, 891, 2706, 335, 10062, 14485, 267, 3744, 666, 7747, 1367, 2281, 543, 741, 6418, 25029, 269, 3683, 942, 267, 789, 2445, 1239, 543, 5659, 3270, 547, 2697, 1808, 12508, 2404, 609, 23872, 14759, 630, 15290, 2281, 1831, 29406, 6393, 3719, 7227, 267, 972, 781, 811, 256, 12824, 849, 946, 22795, 2059, 609, 891, 28525, 547, 1711, 3810, 4977, 2592, 540, 519, 8031, 3330, 938, 4703, 269, 4635, 8955, 1769, 2636, 873, 547, 7001, 6946, 3877, 540, 1591, 3889, 602, 1131, 6382, 979, 29462, 896, 2834, 8654, 2175, 269, 5994, 2921, 513, 8755, 2775, 883, 513, 4158, 13946, 855, 3079, 540, 513, 2241, 11237, 540, 3043, 1769, 267, 596, 1185, 513, 22774, 23469, 835, 13031, 6456, 16782, 256, 2334, 781, 9247, 1018, 891, 8955, 29374, 28525, 798, 585, 2564, 2257, 780, 4322, 14263, 9908, 2261, 12069, 5749, 1405, 1152, 5363, 538, 4974, 5711, 2152, 282, 789, 1404, 2629, 5107, 538, 1620, 1585, 3676, 7133, 1114, 2694, 540, 938, 4703, 269, 1306, 2029, 8441, 267, 945, 6487, 1018, 824, 11580, 649, 786, 12260, 827, 6000, 286, 9320, 14693, 4166, 267, 7189, 786, 946, 2147, 2645, 1282, 6296, 2638, 5725, 547, 2327, 3388, 568, 8647, 7157, 3330, 721, 269, 1215, 3579, 1131, 602, 581, 2496, 1103, 3932, 267, 1247, 1869, 538, 922, 26638, 267, 519, 1158, 540, 9910, 4405, 1242, 28525, 3091, 3970, 1652, 7399, 585, 3695, 519, 1480, 1560, 269, 3414, 4797, 5647, 543, 6602, 267, 649, 1900, 2479, 6251, 547, 6061, 1950, 1072, 13655, 543, 5355, 2949, 8171, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13563, 5980, 585, 21558, 6925, 543, 17889, 17593, 338, 454, 4456, 2207, 2975, 3198, 14298, 5746, 4953, 312, 11123, 700, 3008, 2207, 32212, 2975, 12114, 6730, 590, 7838, 294, 28475, 9474, 22552, 3722, 4811, 32577, 2975, 13316, 6730, 13138, 23177, 6369, 3582, 3201, 19419, 292, 24086, 454, 6193, 1886, 13681, 525, 267, 3246, 606, 5140, 1382, 1907, 585, 2104, 2090, 593, 6127, 540, 7988, 27415, 543, 23872, 1689, 269, 8081, 539, 676, 281, 700, 4456, 6573, 22078, 295, 21610, 296, 10292, 289, 623, 6078, 292, 289, 4962, 279, 3445, 267, 19200, 5308, 305, 14174, 280, 4649, 271, 268, 1015, 268, 272, 268, 4962, 274, 279, 282, 19200, 5308, 305, 14174, 280, 4649, 271, 268, 1691, 268, 272, 268, 19740, 275, 267, 22078, 295, 21610, 296, 10292, 289, 681, 6734, 661, 289, 26522, 5952, 273, 282, 519, 28199, 543, 631, 8475, 23894, 2006, 7690, 563, 258, 273, 1948, 272, 631, 3201, 5456, 2793, 18199, 8863, 3198, 12283, 6730, 27107, 294, 27486, 281, 715, 10976, 5085, 32745, 296, 2969, 308, 6020, 313, 3633, 11550, 289, 2464, 5442, 5990, 19532, 12239, 11123, 27107, 298, 8991, 5508, 631, 3201, 5456, 2793, 10998, 312, 3967, 564, 31828, 323, 1695, 4115, 267, 4406, 24809, 15223, 1731, 3315, 267, 5261, 715, 2998, 267, 570, 520, 10005, 918, 6652, 773, 9366, 267, 8751, 6660, 3122, 267, 8891, 571, 8187, 518, 4149, 19431, 2160, 540, 4993, 267, 7054, 341, 710, 267, 11404, 282, 5441, 540, 30677, 7070, 267, 2160, 540, 14151, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24835, 762, 547, 3761, 2656, 14104, 563, 3080, 4990, 540, 13075, 3549, 602, 1034, 2043, 616, 711, 3222, 540, 568, 7221, 269, 1703, 616, 1082, 2010, 540, 5092, 602, 616, 2965, 13401, 998, 10909, 538, 1489, 540, 741, 5561, 269, 589, 2603, 540, 971, 8041, 11338, 1491, 593, 1483, 10040, 4058, 543, 15896, 2359, 269, 769, 1840, 267, 789, 1522, 849, 3028, 519, 9042, 540, 12632, 610, 1683, 13075, 28007, 3435, 547, 10909, 607, 1134, 607, 2043, 538, 1489, 540, 519, 7817, 269, 16275, 3722, 267, 20941, 454, 4322, 2395, 267, 972, 616, 2965, 513, 1297, 540, 2804, 3549, 10909, 602, 5838, 6351, 547, 2043, 593, 4010, 875, 547, 22302, 7482, 269, 1358, 616, 5827, 547, 917, 519, 4220, 28337, 609, 25137, 543, 849, 9467, 538, 519, 2804, 1062, 269, 0, 8310, 8242, 281, 476, 736, 7325, 476, 1708, 271, 454, 29771, 547, 938, 13334, 454, 12024, 721, 593, 9365, 454, 10287, 721, 593, 12108, 454, 313, 334, 1108, 568, 11543, 513, 2603, 540, 8560, 607, 835, 540, 519, 3318, 15938, 6030, 1851, 519, 5354, 540, 519, 1053, 538, 2487, 1296, 269, 634, 2799, 4656, 827, 2831, 543, 824, 2713, 7103, 593, 3618, 543, 519, 16051, 571, 540, 4264, 2713, 814, 2813, 513, 2603, 540, 9165, 543, 4055, 585, 9952, 18186, 5505, 1317, 789, 616, 2877, 547, 1353, 519, 3662, 19326, 543, 948, 873, 547, 2661, 513, 1434, 1272, 593, 4541, 3618, 563, 2467, 616, 1082, 1271, 5107, 2139, 538, 713, 2361, 267, 855, 519, 1459, 2376, 13290, 547, 2263, 1906, 540, 519, 2629, 2816, 5107, 2139, 585, 519, 9952, 18186, 1108, 4648, 602, 616, 1271, 543, 2709, 1434, 4876, 2208, 3255, 563, 4131, 779, 1865, 519, 1482, 538, 1469, 912, 2026, 513, 25672, 6048, 835, 568, 3743, 547, 960, 1312, 16280, 538, 22475, 543, 849, 4610, 538, 519, 13964, 269, 634, 25672, 5505, 616, 3743, 547, 1353, 519, 7180, 540, 519, 2831, 543, 2119, 547, 3142, 1524, 519, 7934, 1063, 2831, 543, 3425, 543, 3035, 513, 4264, 2713, 593, 713, 4541, 563, 305, 1961, 540, 513, 25672, 6048, 454, 2026, 513, 25672, 6048, 835, 568, 3743, 547, 1353, 3662, 7180, 1519, 4720, 267, 14169, 267, 17550, 267, 7180, 267, 3892, 543, 8760, 540, 2831, 269, 634, 18186, 5505, 1353, 2249, 543, 2551, 540, 2831, 543, 960, 609, 2831, 856, 538, 519, 2361, 538, 24811, 610, 538, 20682, 563, 25215, 976, 4850, 540, 513, 25672, 6048, 454, 2026, 513, 25672, 6048, 835, 568, 2877, 547, 912, 313, 5622, 26283, 616, 7255, 609, 519, 10304, 540, 2831, 6854, 538, 18186, 657, 267, 7320, 11614, 267, 6864, 926, 4548, 267, 3662, 14425, 267, 3092, 269, 1358, 616, 3743, 547, 1491, 1416, 540, 519, 1072, 540, 519, 2831, 538, 24811, 676, 6029, 873, 2648, 543, 15754, 563, 305, 1961, 540, 513, 25089, 24010, 454, 2026, 513, 23291, 24010, 835, 568, 4397, 547, 960, 609, 1114, 2831, 538, 519, 18186, 657, 543, 7320, 11614, 269, 1306, 513, 23291, 24010, 835, 568, 3743, 547, 1174, 519, 2831, 676, 4758, 873, 1416, 543, 2648, 543, 4543, 873, 547, 8853, 543, 2661, 2635, 1369, 519, 24811, 563, 25215, 976, 4850, 540, 513, 25089, 24010, 454, 2026, 513, 25089, 24010, 835, 568, 3743, 547, 912, 763, 13149, 12207, 616, 10416, 3238, 538, 1382, 267, 2079, 543, 23004, 538, 6935, 547, 519, 12084, 267, 741, 1272, 3029, 543, 9381, 2127, 269, 1358, 616, 3743, 547, 1353, 827, 519, 7286, 2831, 543, 2327, 602, 789, 616, 2922, 538, 741, 7226, 563, 305, 1961, 540, 513, 13149, 26831, 454, 2026, 513, 7286, 10196, 835, 568, 3743, 547, 20272, 519, 4262, 543, 922, 5872, 609, 519, 2244, 267, 5790, 267, 4262, 19683, 267, 3662, 1272, 543, 2371, 269, 634, 7286, 3744, 786, 581, 1210, 713, 1344, 547, 3589, 2242, 547, 519, 3618, 779, 5989, 267, 1217, 27152, 9086, 543, 5000, 2825, 4027, 563, 25215, 976, 4850, 540, 513, 13149, 26831, 454, 2026, 513, 13149, 10196, 835, 568, 2877, 547, 912, 305, 1961, 540, 513, 3163, 27752, 454, 2026, 513, 2257, 5856, 835, 568, 2838, 547, 1382, 267, 2328, 543, 12575, 3621, 3377, 4930, 543, 2934, 267, 585, 1870, 267, 4123, 267, 3318, 12326, 267, 11285, 3621, 543, 2930, 13746, 543, 519, 1857, 269, 1358, 991, 547, 1174, 519, 1950, 3621, 1344, 6436, 543, 2853, 602, 616, 1644, 547, 18186, 1108, 543, 2831, 563, 25215, 976, 4850, 540, 513, 3163, 27752, 454, 2026, 513, 3743, 2257, 5856, 267, 835, 568, 2877, 547, 912, 763, 1657, 268, 20197, 2816, 5107, 616, 930, 540, 519, 1082, 2139, 585, 645, 2529, 322, 25672, 1108, 1053, 269, 634, 3747, 585, 9952, 18186, 5505, 568, 2810, 1554, 676, 1554, 269, 3509, 14453, 3549, 616, 3168, 2509, 17849, 11727, 18186, 5505, 538, 1804, 1297, 269, 15394, 519, 14453, 3549, 786, 581, 10647, 8062, 593, 2831, 585, 1007, 5061, 543, 2126, 267, 865, 519, 18186, 5505, 616, 2838, 547, 1867, 519, 7180, 540, 519, 3662, 602, 814, 22734, 519, 8062, 269, 1924, 267, 519, 3747, 568, 3833, 1804, 585, 9952, 18186, 5505, 563, 763, 1053, 945, 723, 519, 6612, 543, 6568, 2509, 2831, 666, 6443, 547, 645, 2529, 322, 25672, 1108, 1576, 543, 666, 2244, 538, 1434, 9878, 6009, 602, 2709, 5140, 4876, 2208, 3255, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 637, 2437, 3533, 2968, 513, 3196, 547, 22672, 517, 609, 538, 519, 12353, 31851, 13292, 18799, 676, 678, 10774, 3861, 885, 13700, 14746, 269, 1284, 13856, 6688, 8151, 689, 6138, 547, 9297, 267, 844, 7627, 3025, 689, 28676, 547, 8055, 24672, 269, 3776, 17837, 1917, 337, 644, 3101, 569, 25343, 938, 1702, 1247, 849, 19825, 938, 1434, 5026, 26206, 543, 18854, 1399, 7333, 614, 780, 10190, 3357, 519, 10700, 4161, 910, 2558, 14746, 30558, 2473, 299, 4353, 281, 6520, 540, 21654, 7981, 9990, 269, 901, 729, 1100, 8723, 6474, 282, 621, 8486, 1540, 519, 1655, 6887, 2066, 2789, 1016, 1042, 323, 1080, 1996, 1142, 824, 269, 7861, 800, 5921, 31449, 1369, 519, 2146, 543, 2909, 21794, 2924, 585, 3275, 630, 604, 711, 1296, 264, 547, 2097, 269, 700, 3151, 7012, 1405, 606, 4781, 267, 855, 9444, 729, 32533, 610, 1373, 5667, 7964, 2006, 3697, 2932, 269, 2991, 782, 267, 649, 22993, 519, 1360, 9759, 540, 519, 21654, 6891, 1107, 2601, 267, 1367, 1143, 267, 3356, 267, 10892, 267, 543, 25949, 780, 4002, 519, 552, 557, 540, 519, 2462, 2680, 267, 9568, 13351, 269, 3776, 5182, 6345, 267, 1634, 585, 1010, 6791, 538, 23006, 543, 670, 2541, 267, 7000, 646, 7948, 1405, 7119, 1813, 547, 513, 1920, 6595, 269, 8061, 770, 730, 267, 27907, 5734, 4224, 5377, 267, 17116, 547, 3541, 841, 938, 21339, 269, 1809, 1287, 1945, 9058, 5949, 780, 16446, 323, 6002, 689, 15180, 6887, 3323, 5356, 741, 1489, 267, 4687, 2200, 543, 4030, 269, 1358, 18056, 721, 602, 5698, 568, 693, 519, 2295, 540, 519, 21654, 1788, 269, 27837, 267, 649, 4956, 547, 1711, 513, 1353, 1895, 16030, 2818, 689, 1312, 12721, 6887, 269, 3414, 3735, 5991, 697, 669, 1846, 543, 5691, 11401, 267, 17052, 19806, 15701, 5103, 3105, 15180, 1845, 269, 1306, 649, 1642, 1386, 4514, 883, 519, 1641, 2339, 267, 938, 7104, 7326, 8057, 6793, 982, 1022, 2582, 16045, 781, 1702, 780, 23871, 14746, 30558, 2473, 299, 4353, 8452, 267, 543, 865, 1705, 519, 6397, 4729, 6335, 269, 6736, 2348, 32524, 609, 5449, 30347, 267, 15776, 700, 26619, 11726, 637, 2468, 2794, 1117, 269, 8616, 11802, 4769, 1405, 1745, 835, 8820, 15042, 1317, 649, 9976, 1927, 1145, 3079, 540, 6071, 17636, 269, 2334, 3781, 6825, 811, 982, 1175, 10888, 513, 24735, 13287, 16311, 282, 621, 3090, 1242, 9322, 10838, 3309, 2043, 8087, 676, 3838, 18653, 780, 8269, 22162, 593, 602, 1995, 1631, 267, 594, 8275, 602, 519, 3020, 6891, 540, 519, 21654, 6013, 711, 8806, 538, 519, 1568, 540, 1346, 4557, 4583, 17024, 855, 849, 538, 5807, 5188, 267, 8716, 2565, 3206, 267, 543, 2679, 8537, 2950, 269, 1924, 1934, 781, 547, 8508, 13395, 4690, 267, 10188, 1272, 781, 2591, 267, 543, 4466, 7772, 538, 12691, 4025, 1765, 718, 1247, 19551, 972, 781, 2141, 4222, 538, 2338, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 8005, 941, 930, 540, 519, 2101, 17024, 1282, 519, 21654, 1974, 888, 5278, 2101, 17024, 1282, 519, 21654, 1974, 941, 1384, 272, 269, 3627, 28676, 454, 273, 269, 14639, 11219, 659, 13196, 681, 28907, 879, 454, 274, 269, 5292, 3279, 790, 454, 275, 269, 8053, 525, 638, 24586, 454, 276, 269, 14088, 8055, 454, 277, 269, 6424, 670, 2541, 454, 278, 269, 1955, 28609, 23006, 454, 279, 269, 9324, 529, 667, 3187, 582, 454, 280, 269, 18148, 15284, 454, 1015, 269, 7338, 10266, 324, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 8080, 547, 938, 3408, 540, 4563, 329, 871, 15613, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 835, 540, 519, 1034, 2442, 3349, 3756, 1336, 538, 8732, 16394, 910, 4563, 329, 871, 269, 898, 781, 849, 1634, 607, 1412, 2641, 3299, 2094, 519, 3804, 540, 519, 3014, 568, 547, 1205, 6486, 609, 513, 2698, 1871, 607, 2673, 547, 476, 2641, 607, 2009, 267, 1247, 1869, 25588, 519, 31066, 779, 1688, 269, 1677, 2253, 609, 267, 1577, 781, 1174, 875, 3109, 329, 871, 568, 5129, 1210, 513, 3044, 16064, 540, 476, 7367, 6486, 780, 1103, 1142, 5180, 267, 5716, 1747, 741, 914, 338, 543, 4309, 1079, 3068, 5346, 6486, 269, 634, 31066, 4991, 835, 3068, 16365, 3556, 543, 1776, 6849, 20733, 269, 3962, 6345, 1287, 3217, 7140, 14045, 2436, 789, 1616, 811, 6486, 630, 327, 527, 264, 610, 952, 789, 1589, 741, 1699, 1688, 568, 1434, 2614, 547, 10726, 519, 31066, 630, 1056, 1040, 1403, 513, 6345, 781, 1293, 20489, 476, 2641, 267, 789, 11861, 267, 8850, 9561, 519, 5180, 7488, 540, 1018, 4523, 1985, 269, 4495, 3025, 814, 1500, 741, 3664, 267, 519, 31066, 8761, 741, 6456, 3556, 543, 4249, 2687, 547, 1808, 3652, 780, 3086, 2501, 519, 4277, 851, 1107, 3384, 513, 4640, 256, 1703, 616, 1585, 4485, 547, 2087, 707, 8458, 693, 10888, 538, 4563, 329, 871, 267, 855, 3314, 602, 1100, 1505, 18715, 1967, 1813, 547, 922, 7915, 4351, 1145, 269, 1717, 267, 1565, 2596, 2994, 786, 948, 7413, 519, 2777, 6316, 630, 1492, 5413, 4371, 676, 519, 25877, 1070, 1818, 519, 1995, 811, 11791, 543, 5732, 14785, 269, 2913, 781, 4685, 883, 930, 4909, 4388, 1384, 272, 269, 2878, 15447, 950, 547, 5734, 610, 1796, 4995, 1879, 707, 1688, 9103, 1023, 1063, 476, 1321, 543, 476, 1626, 267, 1413, 693, 519, 31066, 781, 7298, 3556, 269, 1403, 621, 2982, 513, 476, 278, 610, 2362, 267, 2015, 18644, 1317, 972, 781, 513, 2178, 4960, 519, 31066, 1522, 723, 513, 1732, 1688, 982, 16523, 269, 17957, 267, 952, 519, 31066, 781, 3556, 568, 2539, 982, 476, 278, 267, 7555, 3587, 513, 21273, 3903, 269, 1280, 2182, 9103, 1023, 540, 476, 1704, 610, 811, 267, 2141, 3442, 547, 1796, 8259, 596, 723, 513, 6292, 610, 513, 2571, 1688, 630, 320, 1688, 5627, 606, 589, 576, 18886, 607, 476, 1556, 1916, 273, 269, 2878, 306, 5902, 8424, 20617, 4995, 1403, 596, 4309, 1079, 9838, 6486, 630, 3697, 1079, 476, 279, 338, 610, 1079, 589, 806, 1070, 24590, 873, 883, 5094, 3946, 1223, 5595, 707, 1761, 3094, 11789, 269, 1809, 581, 18762, 282, 713, 1847, 3884, 1405, 6225, 1169, 942, 269, 13575, 267, 8237, 513, 806, 543, 552, 2074, 267, 855, 2760, 7941, 2185, 338, 267, 535, 1161, 267, 610, 9937, 269, 25709, 687, 8428, 3823, 3670, 525, 543, 562, 1149, 267, 865, 1620, 519, 1808, 3652, 540, 519, 4528, 596, 2811, 4730, 568, 2629, 1354, 23312, 563, 274, 269, 2878, 8196, 29156, 21825, 4995, 8935, 17331, 1524, 1797, 2810, 707, 3355, 914, 1310, 8391, 707, 1101, 1079, 6486, 269, 901, 4781, 3947, 596, 1152, 835, 3606, 3556, 3079, 540, 2789, 16125, 269, 2422, 621, 950, 707, 4358, 1688, 11224, 476, 280, 267, 476, 1015, 267, 610, 476, 1556, 267, 2523, 952, 519, 31066, 781, 6534, 3556, 568, 4617, 630, 11161, 8151, 689, 476, 273, 547, 476, 277, 1916, 275, 269, 2878, 11900, 4269, 286, 3502, 2356, 4995, 16629, 16394, 949, 2709, 6142, 267, 799, 568, 9247, 25919, 602, 519, 31066, 814, 3109, 329, 871, 630, 288, 576, 7132, 1022, 4557, 17032, 3556, 1040, 2755, 621, 4992, 15673, 532, 267, 19250, 6340, 267, 2921, 6142, 10355, 2640, 5716, 538, 519, 1279, 2196, 269, 1924, 8259, 596, 4312, 4487, 2685, 7229, 519, 12918, 3054, 1282, 513, 1880, 8400, 267, 621, 781, 3622, 19624, 547, 7771, 6142, 3091, 780, 8855, 267, 2259, 2306, 3501, 269, 8347, 7311, 891, 2994, 693, 1753, 609, 2828, 610, 1920, 2818, 1210, 513, 2582, 16064, 540, 6486, 269, 5901, 17975, 707, 1983, 267, 3251, 3461, 267, 543, 2972, 519, 13858, 1158, 540, 4563, 329, 871, 19100, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13425, 707, 2199, 4031, 547, 2327, 2228, 13989, 568, 2139, 543, 3656, 1141, 596, 2661, 269, 1411, 666, 6368, 1289, 1055, 519, 3406, 585, 513, 21888, 25877, 602, 2027, 2478, 538, 16134, 543, 6212, 593, 1187, 269, 634, 2104, 540, 21888, 8732, 16394, 814, 8452, 543, 621, 4422, 676, 519, 2012, 540, 808, 20269, 16629, 3626, 267, 2835, 25877, 3756, 269, 3776, 32562, 540, 27061, 814, 1044, 5697, 585, 741, 8560, 543, 11141, 29863, 7868, 2179, 2228, 27061, 2628, 856, 9775, 4470, 593, 519, 18921, 3684, 596, 616, 4730, 543, 519, 914, 602, 596, 530, 4526, 267, 2835, 25877, 3756, 269, 2662, 12241, 519, 15170, 5989, 568, 10427, 543, 11141, 267, 621, 1131, 581, 4625, 1448, 1652, 1510, 513, 3102, 2039, 540, 1390, 3756, 547, 1404, 269, 13966, 2515, 519, 2647, 4015, 540, 2228, 8732, 16394, 267, 972, 568, 513, 2647, 4015, 540, 13989, 3301, 7426, 945, 1711, 543, 2226, 519, 3756, 602, 649, 917, 543, 2648, 267, 2835, 25877, 3756, 269, 769, 1082, 2081, 267, 891, 3301, 7426, 616, 519, 5667, 2426, 12325, 540, 519, 2872, 269, 1452, 3549, 2308, 519, 6505, 652, 543, 1655, 8186, 538, 519, 1802, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14937, 329, 871, 15613, 257, 607, 851, 540, 834, 294, 4456, 2464, 1299, 8028, 2316, 9654, 25765, 1315, 32573, 1782, 1315, 7305, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 519, 4190, 2749, 540, 2098, 584, 747, 267, 5030, 1079, 1655, 2828, 3957, 17713, 543, 13983, 3279, 269, 1358, 6068, 3695, 741, 4884, 543, 1565, 1007, 1919, 1927, 269, 2290, 1554, 267, 789, 16686, 2390, 606, 2025, 7452, 344, 1433, 538, 519, 5399, 267, 2854, 676, 513, 812, 3957, 670, 592, 323, 787, 577, 2098, 9405, 2993, 269, 1306, 789, 8118, 519, 1433, 267, 789, 4362, 602, 621, 8659, 2093, 602, 941, 1360, 1114, 689, 1018, 789, 4862, 538, 10732, 1153, 780, 295, 753, 543, 13983, 3279, 4121, 602, 670, 592, 323, 787, 577, 5156, 538, 513, 12863, 543, 811, 1463, 1259, 540, 26902, 6235, 2696, 267, 1510, 782, 519, 16681, 23598, 543, 12738, 602, 4904, 519, 7826, 13039, 269, 1261, 2219, 1004, 1058, 1224, 519, 6426, 2933, 543, 1118, 909, 741, 1378, 8186, 827, 1018, 621, 1767, 269, 901, 2856, 9599, 17713, 543, 13983, 3279, 1317, 621, 18056, 873, 540, 1945, 789, 1185, 5063, 4121, 910, 519, 3621, 1505, 256, 3807, 899, 670, 592, 323, 787, 577, 267, 3744, 7747, 519, 1158, 1472, 873, 267, 2307, 2055, 267, 543, 3343, 4267, 2047, 689, 2470, 3079, 540, 3972, 532, 1866, 9420, 569, 780, 11900, 18944, 676, 891, 2093, 267, 17713, 543, 13983, 3279, 4956, 547, 2671, 670, 592, 323, 787, 577, 781, 10752, 609, 741, 2146, 269, 1677, 3025, 781, 9983, 267, 1082, 4961, 8815, 609, 873, 267, 2523, 1346, 5461, 538, 2542, 543, 1620, 519, 6426, 20250, 269, 17652, 2614, 267, 2098, 584, 747, 3964, 513, 6963, 539, 5939, 267, 8840, 1863, 689, 519, 7826, 5783, 781, 3652, 269, 4065, 25577, 2429, 519, 2749, 267, 3850, 1256, 811, 3255, 547, 1451, 543, 1332, 780, 3719, 835, 1554, 267, 1247, 9683, 1776, 8498, 1869, 10121, 547, 519, 7826, 5132, 267, 789, 14754, 513, 12699, 4661, 1063, 13794, 540, 1312, 10764, 269, 4658, 3893, 10413, 267, 543, 8075, 14616, 1524, 269, 22628, 971, 9552, 1500, 17713, 543, 13983, 3279, 8275, 602, 4352, 1702, 666, 7668, 2043, 543, 2950, 267, 621, 1223, 849, 2014, 4655, 952, 711, 1031, 20617, 269, 2060, 5230, 12271, 267, 789, 6956, 602, 1100, 2339, 875, 1454, 649, 917, 610, 1174, 267, 2463, 543, 6568, 2509, 1866, 616, 2629, 3334, 538, 2679, 2178, 3347, 269, 1656, 865, 267, 17713, 543, 13983, 3279, 8120, 1753, 267, 5462, 547, 948, 1711, 513, 1732 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 855, 621, 568, 711, 519, 1152, 835, 269, 769, 938, 5321, 649, 3006, 723, 7379, 12514, 547, 6895, 1295, 832, 267, 10130, 610, 3274, 547, 2638, 602, 3388, 568, 5386, 269, 1717, 267, 538, 930, 4025, 267, 2921, 5413, 540, 519, 1249, 602, 519, 12514, 616, 3478, 4130, 543, 14949, 267, 930, 616, 5116, 547, 22342, 593, 721, 269, 769, 713, 2013, 789, 616, 1360, 2352, 547, 3713, 543, 1256, 10363, 547, 723, 2322, 873, 269, 769, 713, 2376, 649, 616, 2469, 547, 2911, 827, 875, 547, 3713, 6456, 22342, 12514, 609, 513, 5985, 6049, 7064, 547, 606, 813, 563, 10521, 9945, 1020, 606, 813, 454, 1103, 513, 5698, 1063, 3173, 693, 962, 2945, 328, 2160, 538, 3162, 9705, 543, 519, 2817, 2160, 540, 14135, 267, 789, 723, 2919, 513, 5985, 3498, 602, 3096, 519, 9215, 293, 9300, 538, 16335, 12514, 547, 1265, 6263, 22342, 12514, 6456, 538, 4948, 3615, 269, 769, 2013, 596, 1810, 1406, 917, 267, 519, 9215, 293, 9300, 538, 2221, 779, 16389, 32307, 18342, 1769, 20832, 602, 616, 1031, 547, 2268, 3178, 563, 1607, 813, 602, 814, 1044, 2919, 547, 4163, 856, 713, 4305, 568, 811, 3811, 538, 16326, 6456, 22342, 12514, 982, 519, 5767, 5108, 22572, 267, 543, 849, 982, 519, 1480, 3750, 610, 2634, 563, 1692, 22342, 8254, 7020, 1568, 454, 22102, 22342, 12514, 6456, 538, 6213, 4025, 666, 581, 3362, 6456, 538, 15678, 11623, 267, 8602, 7741, 543, 616, 4742, 513, 3978, 1966, 269, 1677, 713, 1590, 581, 3773, 602, 789, 666, 581, 11751, 2228, 1360, 10464, 569, 267, 543, 849, 267, 789, 616, 2352, 547, 3713, 609, 519, 21736, 3750, 267, 2523, 538, 11623, 609, 1082, 3615, 269, 1306, 513, 1267, 540, 519, 5698, 540, 3173, 689, 519, 1079, 5018, 7489, 9945, 267, 621, 814, 8507, 538, 519, 5137, 540, 519, 700, 4338, 291, 630, 299, 6471, 2667, 13554, 17421, 24544, 264, 3498, 269, 901, 666, 960, 593, 1022, 16335, 602, 814, 513, 9215, 293, 9300, 269, 1677, 2012, 513, 15095, 2203, 267, 789, 1131, 581, 1346, 540, 519, 30982, 590, 736, 2039, 563, 763, 1184, 540, 16326, 6456, 22342, 12514, 1131, 581, 2944, 607, 5205, 267, 585, 799, 649, 786, 3490, 6000, 593, 519, 3239, 1657, 269, 898, 782, 6238, 609, 519, 17655, 1184, 538, 799, 519, 9215, 293, 9300, 32307, 8955, 20512, 543, 11392, 519, 10630, 1769, 689, 519, 1843, 267, 971, 607, 519, 1216, 11480, 267, 543, 922, 10450, 269, 4340, 547, 519, 9367, 267, 519, 6456, 8254, 11251, 538, 519, 1843, 9356, 19670, 8955, 20512, 609, 513, 2362, 8515, 982, 922, 10450, 1813, 547, 606, 1198, 1572, 27164, 10915, 3005, 689, 519, 7828, 9300, 269, 634, 700, 4338, 291, 813, 1287, 3157, 891, 804, 18636, 1229, 2127, 547, 8850, 2697, 6456, 22342, 12514, 543, 741, 4087, 269, 3973, 621, 6368, 2982, 873, 593, 519, 3593, 779, 16335, 5496, 563, 4002, 519, 824, 1688, 267, 547, 9004, 7301, 1064, 14476, 1813, 547, 519, 1114, 2992, 2032, 540, 1585, 3615, 267, 519, 9367, 1031, 21284, 4641, 547, 3391, 519, 3593, 547, 1205, 6251, 547, 267, 610, 2476, 689, 267, 519, 1843, 538, 2243, 563, 1432, 666, 649, 2503, 689, 519, 700, 4696, 303, 813, 454, 1607, 3070, 568, 2731, 9621, 855, 814, 513, 1966, 585, 922, 2653, 543, 7839, 946, 269, 634, 17498, 728, 568, 602, 1034, 12514, 798, 711, 723, 513, 9215, 293, 9300, 269, 1717, 267, 621, 568, 4397, 602, 538, 519, 1985, 476, 276, 1296, 789, 786, 581, 1360, 1455, 269, 2290, 3364, 547, 1832, 538, 2247, 568, 602, 547, 3713, 6456, 22342, 12514, 3755, 616, 2838, 547, 11571, 1152, 835, 1843, 693, 513, 942, 267, 585, 713, 649, 786, 1491, 827, 513, 8792, 547, 798, 865, 563, 4002, 519, 824, 1688, 267, 519, 8856, 540, 519, 3070, 1223, 581, 2417, 2799, 676, 1210, 519, 5985, 8755, 2775, 543, 681, 16412, 12514, 269, 769, 1840, 267, 922, 946, 666, 581, 1264, 7757, 609, 31923, 2861, 3435, 547, 2697, 519, 6753, 1141, 6456, 22342, 12514, 616, 4092, 269, 7053, 267, 519, 3173, 20053, 547, 1930, 713, 1930, 2707, 3498, 865, 602, 824, 3755, 666, 948, 2087, 621, 269, 898, 1131, 1287, 581, 5950, 547, 519, 1857, 865, 602, 4896, 609, 513, 9215, 293, 9300, 8254, 666, 1265, 6456, 22342, 12514, 269, 0, 763, 3140, 14088, 568, 519, 3134, 11345, 13653, 540, 519, 544, 895, 2679, 9710, 924, 543, 590, 996, 924, 804, 753, 269, 3571, 22657, 568, 519, 5318, 1134, 21226, 3148, 1572, 3798, 523, 282, 519, 851, 540, 519, 1158, 1141, 519, 930, 540, 519, 9510, 1480, 15455, 723, 1044, 1336, 269, 769, 19606, 267, 1004, 2516, 543, 741, 4525, 616, 4857, 609, 513, 13653, 610, 2038, 3134, 11345, 22660, 269, 630, 2304, 3134, 7716, 568, 513, 1268, 1310, 7247, 513, 28334, 610, 1747, 568, 3957, 4700, 1703, 616, 1082, 971, 804, 753, 267, 855, 519, 9998, 538, 19606, 616, 519, 804, 753, 540, 14088, 543, 2037, 5255, 269, 589, 2620, 7293, 2079, 8761, 602, 741, 18939, 954, 3405, 3072, 630, 754, 690, 18081, 1916, 16449, 519, 16384, 2692, 267, 606, 334, 2151, 1797, 968, 320, 4562, 27468, 892, 610, 968, 1729, 5372, 892, 543, 1851, 519, 12891, 14397, 519, 2262, 606, 334, 737, 344, 328, 1797, 834, 2304, 334, 28133, 1701, 769, 891, 2665, 267, 649, 1265, 519, 2856, 540, 19588, 267, 11021, 10424, 1899, 1137, 269, 589, 30645, 15599, 6048, 3659, 5359, 602, 1323, 334, 2151, 849, 1797, 834, 29715, 25752, 547, 513, 17599, 1701, 4475, 267, 519, 13400, 2012, 834, 5319, 5255, 257, 568, 2404, 609, 10424, 10841, 754, 3599, 269, 2334, 949, 2491, 1946, 519, 1913, 2037, 5255, 543, 740, 600, 616, 17704, 1194, 538, 25360, 332, 476, 279, 281, 275, 563, 3849, 600, 781, 2012, 4016, 547, 1973, 630, 17043, 264, 543, 519, 2681, 2699, 269, 3571, 18939, 616, 15422, 607, 2699, 1004, 269, 2290, 540, 1346, 18939, 568, 14062, 945, 12199, 538, 519, 8513, 540, 661, 3256, 269, 634, 16380, 1572, 661, 3256, 834, 27306, 2541, 320, 2437, 799, 1797, 834, 1633, 540, 2699, 1004, 1701, 634, 17710, 267, 20577, 267, 543, 28556, 540, 661, 3256, 924, 1973, 616, 4330, 607, 2699, 281, 10507, 879, 543, 6424, 616, 1806, 269, 2368, 540, 519, 2699, 9082, 616, 7396, 538, 19606, 476, 1015, 269, 1358, 616, 4857, 676, 519, 30250, 1979, 2784, 673, 267, 799, 4016, 547, 519, 2681, 2699, 269, 769, 3504, 12266, 1705, 328, 4016, 547, 2699, 4829, 269, 769, 962, 528, 18866, 267, 2699, 568, 1705, 523, 267, 513, 14583, 540, 519, 13400, 2262, 667, 539, 534, 630, 7049, 269, 476, 1015, 1916, 26469, 781, 21658, 14439, 4906, 607, 519, 1279, 268, 11867, 1243, 31050, 269, 901, 568, 13269, 538, 519, 12835, 540, 519, 24446, 1657, 269, 14088, 568, 11347, 540, 519, 1101, 3425, 2813, 676, 2696, 543, 2189, 1851, 782, 7068, 538, 602, 646, 568, 2813, 538, 519, 3239, 540, 519, 29763, 269, 0, 310, 310, 273, 8484, 11368, 519, 4838, 538, 1285, 542, 923, 9648, 538, 519, 2038, 476, 736, 628, 2540, 269, 1358, 941, 849, 2565, 585, 20466, 11802, 563, 9928, 2651, 1524, 547, 1294, 4930, 593, 4108, 18229, 267, 2029, 267, 14742, 267, 543, 12485, 540, 2622, 2782, 5565, 563, 289, 27739, 645, 268, 1704, 674, 2391, 10783, 816, 454, 763, 674, 2391, 10783, 816, 22993, 519, 19644, 1977, 1523, 540, 8856, 21765, 10514, 731, 618, 543, 729, 10838, 519, 4666, 31586, 540, 2622, 2782, 476, 273, 14742, 269, 31603, 1282, 519, 4571, 268, 547, 3735, 476, 4350, 271, 338, 267, 519, 645, 268, 1704, 9411, 3028, 538, 476, 4350, 279, 267, 855, 2504, 729, 3908, 676, 890, 659, 8135, 23348, 269, 1717, 267, 609, 2185, 19159, 24293, 9817, 267, 513, 2185, 6253, 748, 663, 1790, 895, 10514, 4452, 267, 543, 513, 3532, 6007, 540, 3684, 15963, 267, 519, 674, 2391, 10783, 816, 8604, 547, 2661, 909, 547, 922, 2012, 269, 17290, 9576, 5794, 10414, 946, 3459, 538, 4989, 476, 3707, 272, 267, 855, 645, 558, 828, 16710, 14985, 1705, 711, 6474, 519, 10783, 816, 781, 1761, 269, 30272, 1034, 3703, 645, 268, 1704, 338, 941, 2095, 333, 676, 17241, 293, 26066, 16710, 563, 2690, 519, 772, 2529, 269, 8136, 5794, 17086, 267, 519, 645, 268, 1704, 729, 513, 1101, 3562, 2000, 770, 24116, 269, 589, 8184, 540, 645, 268, 1704, 19324, 729, 9575, 538, 519, 5545, 4323, 593, 23421, 23320, 267, 16127, 267, 593, 476, 278, 5412, 476, 3707, 272, 282, 717, 3631, 7283, 10512, 593, 966, 297, 28233, 269, 645, 268, 1704, 338, 540, 519, 661, 12915, 543, 17823, 18818, 5794, 17086, 9447, 476, 3393, 269, 279, 2600, 540, 519, 7330, 28425, 10514, 9522, 333, 720, 1996, 5125, 1247, 24569, 476, 5325, 269, 272, 2600, 540, 519, 17177, 828, 9271, 268, 275, 267, 277, 6434, 10032, 538, 8396, 269, 26062, 31644, 645, 268, 1704, 2516, 941, 10512, 538, 4789, 676, 4873, 476, 3707, 275, 563, 23382, 520, 1995, 936, 2342, 7152, 513, 991, 585, 3606, 6186, 3512, 267, 3056, 547, 519, 645, 268, 1704, 294, 269, 2060, 513, 20716, 6417, 1079, 3766, 684, 2881, 4958, 896, 519, 9224, 267, 519, 717, 14583, 781, 6186, 3512, 729, 2799, 547, 513, 18797, 1547, 2004, 1608, 9200, 15963, 585, 922, 4557, 17907, 12284, 281, 12681, 267, 2941, 559, 582, 267, 4044, 1807, 267, 10514, 731, 1512, 267, 10237, 2674, 267, 543, 2947, 7784, 2996, 1519, 519, 8184, 11653, 269, 25512, 15922, 4390, 849, 729, 2799, 936, 519, 3312, 2203, 267, 8757, 513, 2698, 540, 476, 280, 267, 7785, 6550, 585, 10156, 24365, 13485, 269, 5440, 3432, 729, 476, 27868, 18890, 693, 8938, 19317, 8536, 3952, 563, 763, 8136, 5794, 17086, 7608, 476, 1321, 267, 7597, 273, 10783, 19843, 689, 476, 3707, 271, 547, 476, 3707, 276, 267, 3710, 676, 645, 27739, 267, 19958, 267, 543, 966, 9298, 269, 853, 762, 543, 2653, 547, 8038, 585, 513, 3818, 268, 19956, 8484, 267, 519, 257, 293, 677, 257, 17495, 519, 1655, 3106, 2594, 540, 1022, 7330, 28425, 17177, 828, 540, 519, 5736, 269, 769, 476, 3707, 275, 513, 6093, 645, 268, 1704, 294, 1942, 1269, 14225, 267, 24907, 563, 8256, 13521, 730, 645, 268, 2190, 8644, 518, 1807, 454, 19136, 543, 28973, 21758, 267, 519, 8644, 518, 1807, 729, 3541, 3660, 676, 10783, 816, 21804, 607, 257, 1492, 4216, 519, 645, 268, 1704, 3357, 538, 1701, 4913, 267, 621, 729, 5488, 543, 3476, 24132, 540, 1082, 2622, 2782, 476, 273, 14742, 267, 538, 1840, 547, 4742, 519, 1034, 1790, 22004, 1977, 8484, 540, 2622, 2782, 4083, 281, 476, 1240, 267, 5002, 8644, 518, 2209, 941, 7608, 1063, 476, 3707, 271, 543, 4864, 476, 3707, 276, 269, 2311, 519, 942, 540, 20491, 3683, 331, 867, 519, 661, 12915, 5794, 10414, 1185, 11157, 8696, 8644, 518, 1807, 2516, 563, 763, 7952, 10288, 519, 2473, 289, 268, 2190, 18634, 538, 4728, 476, 4350, 280, 267, 10912, 585, 513, 476, 20542, 18890, 1283, 3432, 282, 519, 1101, 8184, 7018, 1175, 1354, 1032, 781, 1439, 269, 623, 10062, 676, 2185, 2398, 3430, 543, 18724, 2284, 681, 8146, 271, 24293, 9817, 267, 519, 1007, 17177, 828, 729, 9219, 539, 693, 476, 24129, 18890, 269, 19461, 5838, 625, 4682, 547, 6628, 607, 1279, 24365, 3560, 338, 543, 17535, 29862, 14742, 269, 634, 1826, 9411, 7330, 28425, 3028, 538, 519, 4832, 540, 476, 3707, 272, 563, 12024, 519, 645, 268, 1704, 267, 519, 8644, 518, 1807, 729, 1336, 7925, 547, 2212, 6823, 6285, 676, 4436, 25881, 267, 865, 6186, 3512, 729, 2799, 269, 769, 4571, 268, 3707, 274, 519, 645, 268, 2190, 294, 267, 670, 267, 543, 808, 3631, 941, 3710, 609, 13324, 2881, 28905, 693, 519, 9224, 543, 2766, 267, 9870, 2698, 6186, 3512, 547, 4557, 1547, 2004, 1608, 9200, 15963, 269, 1635, 519, 2887, 540, 476, 3707, 275, 930, 661, 12915, 5794, 10414, 645, 268, 2190, 2516, 1185, 556, 3225, 5792, 609, 645, 268, 1704, 338, 1317, 540, 519, 645, 27739, 781, 3152, 3028, 18109, 269, 634, 8644, 518, 1807, 781, 1164, 23829, 1051, 268, 7806, 1470, 13617, 13087, 3152, 3432, 855, 4389, 15820, 563, 8170, 476, 4510, 277, 8644, 518, 2209, 9250, 547, 4323, 15345, 21036, 16047, 593, 667, 28233, 267, 476, 31696, 2965, 12628, 741, 10514, 13907, 267, 998, 513, 2282, 1606, 13521, 896, 4751, 269, 18648, 15287, 543, 6161, 827, 31362, 7874, 4229, 3361, 782, 741, 23038, 547, 10880, 1134, 24654, 563, 763, 645, 268, 2190, 8737, 519, 3864, 2112, 609, 7194, 5176, 9838, 547, 1346, 540, 922, 645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2831, 3962, 3327, 11046, 666, 1118, 2185, 7123, 2178, 32128, 7554, 476, 273, 269, 12539, 666, 6125, 547, 3327, 8108, 11800, 540, 1585, 7306, 267, 8371, 540, 1585, 7306, 267, 8258, 3889, 543, 10659, 540, 891, 476, 274, 1547, 630, 321, 264, 12539, 3029, 2185, 7554, 267, 4352, 519, 2666, 1533, 12122, 1131, 3589, 519, 5250, 540, 7864, 7554, 269, 630, 322, 264, 12539, 3029, 32128, 7554, 2864, 982, 25617, 7554, 269, 630, 323, 264, 1677, 513, 3152, 6708, 982, 1022, 824, 3693, 267, 3327, 666, 6125, 547, 269, 476, 272, 269, 1548, 2306, 3327, 971, 513, 2189, 3693, 286, 589, 12539, 3029, 32128, 7554, 2864, 982, 25617, 7554, 645, 12539, 814, 1079, 7123, 24745, 267, 3327, 268, 1321, 543, 3327, 268, 1724, 595, 269, 27100, 531, 3327, 2501, 538, 1079, 3029, 267, 14776, 543, 27948, 667, 1677, 513, 3152, 6708, 982, 1022, 824, 3693, 3327, 666, 6125, 3294, 547, 1106, 2786, 11800, 267, 4839, 3481, 11800, 543, 8258, 634, 3693, 3327, 568, 2189, 1317, 621, 814, 2185, 32447, 9211, 267, 3850, 621, 547, 1106, 2185, 7554, 609, 824, 6675, 269, 898, 849, 568, 2189, 538, 519, 2631, 602, 621, 666, 6125, 609, 824, 16087, 976, 267, 10756, 303, 3008, 23966, 25605, 13478, 7220, 17421, 7732, 270, 7476, 1399, 16103, 12539, 568, 1507, 543, 814, 2185, 32447, 9211, 282, 891, 2188, 9192, 883, 513, 2189, 2497, 602, 2636, 621, 547, 3362, 1118, 513, 5832, 540, 3327, 8444, 269, 898, 5932, 32128, 7554, 2443, 519, 16999, 7554, 1063, 8444, 269, 589, 32128, 6125, 568, 835, 1141, 8444, 2671, 9211, 547, 1106, 513, 6125, 634, 3327, 11046, 814, 2189, 3601, 602, 1450, 621, 547, 1106, 32128, 7554, 547, 607, 1082, 607, 2185, 1114, 8444, 267, 1818, 713, 11684, 3693, 4998, 547, 4196, 607, 519, 2596, 7293, 5057, 267, 610, 22449, 267, 540, 519, 5672, 668, 26163, 2290, 540, 519, 1919, 602, 2306, 3327, 865, 2189, 568, 602, 621, 568, 5827, 540, 909, 547, 2185, 7554, 689, 513, 2582, 11046, 540, 3327, 269, 18435, 275, 12539, 570, 25523, 1922, 1663, 528, 728, 513, 6390, 681, 268, 1691, 568, 513, 5010, 14023, 656, 922, 835, 540, 519, 14724, 14806, 665, 16808, 976, 609, 2185, 14806, 710, 8444, 538, 513, 1318, 2587, 1194, 6125, 609, 513, 2582, 3327, 11046, 12539, 568, 519, 8772, 1034, 10731, 3693, 593, 3618, 267, 543, 621, 568, 513, 13113, 4199, 1317, 621, 9979, 998, 519, 3618, 538, 865, 1082, 3029, 269, 9453, 3327, 267, 1272, 607, 649, 917, 621, 1131, 24044, 547, 2291, 1317, 621, 568, 519, 1292, 3693, 538, 5214, 7135, 602, 1118, 909, 2713, 1919, 12539, 568, 519, 1292, 3693, 538, 5214, 7135, 269, 12539, 666, 1106, 7123, 7554, 609, 1082, 2609, 267, 1519, 3294, 269, 1703, 616, 2185, 2101, 2010, 540, 5214, 7135, 281, 11950, 267, 26307, 267, 5946, 267, 543, 31332, 7408, 454, 763, 19043, 540, 12539, 269, 4208, 568, 3327, 865, 1271, 547, 7103, 286, 634, 2626, 6013, 609, 3327, 781, 2189, 3601, 269, 12539, 814, 606, 11108, 2702, 547, 12622, 609, 513, 2647, 3099, 540, 824, 2609, 269, 12539, 2306, 2185, 9211, 2139, 547, 1106, 32128, 3114, 7554, 267, 3850, 3327, 8444, 547, 1106, 2789, 7123, 7554, 609, 824, 1507, 8444, 269, 12389, 1919, 616, 3327, 2861, 1317, 3327, 4249, 971, 513, 7986, 1909, 538, 519, 7998, 540, 2713, 1919, 269, 901, 1797, 602, 3327, 8444, 267, 27433, 547, 824, 3327, 8444, 610, 824, 2609, 267, 1106, 519, 4909, 3334, 540, 1082, 267, 952, 711, 1034, 267, 540, 519, 6675, 1336, 19918, 538, 2713, 1919, 454, 3519, 1061, 476, 275, 269, 273, 12539, 8444, 666, 1106, 3309, 6675, 676, 16345, 547, 2185, 824, 8444, 269, 5788, 2060, 513, 2698, 540, 476, 277, 9211, 267, 513, 3327, 11046, 814, 476, 273, 538, 519, 1101, 6475, 7387, 543, 476, 275, 538, 519, 2034, 7387, 269, 5788, 12539, 814, 2370, 12402, 547, 1106, 25617, 7554, 676, 9561, 610, 11543, 476, 275, 9211, 547, 2347, 922, 32447, 7387, 269, 5788, 5502, 267, 3327, 2356, 29349, 922, 269, 634, 4568, 540, 2802, 2033, 568, 519, 19844, 1336, 538, 14420, 267, 9174, 543, 14326, 269, 630, 5278, 1522, 8044, 602, 4805, 2306, 3327, 3751, 540, 519, 15689, 1040, 1403, 596, 5372, 519, 27846, 538, 19844, 609, 513, 20841, 11046, 267, 543, 5569, 1896, 540, 1346, 4559, 1927, 267, 596, 1205, 4874, 9109, 2643, 577, 528, 710, 630, 11901, 290, 1070, 606, 1383, 540, 513, 5458, 7936, 540, 5214, 7998, 267, 22169, 454, 288, 7623, 5161, 540, 1079, 610, 811, 2609, 543, 3029, 607, 513, 1267, 540, 513, 3114, 5114, 269, 12539, 781, 2189, 2702, 547, 1106, 3114, 7554, 2636, 621, 547, 1106, 6634, 540, 1114, 1804, 267, 5214, 7135, 269, 1452, 7135, 1118, 909, 2713, 1919, 543, 4163, 856, 1272, 3157, 269, 2961, 8510, 6233, 616, 5214, 7135, 971, 607, 14836, 543, 588, 2117, 1127, 1306, 971, 267, 621, 568, 835, 540, 519, 2185, 4909, 2829, 540, 2339, 630, 1492, 1866, 1373, 4396, 267, 3154, 267, 543, 11919, 1070, 543, 568, 519, 1152, 1533, 609, 513, 17386, 4320, 855, 1100, 6378, 3337, 269, 1548, 616, 1614, 3601, 540, 5277, 1216, 286, 23433, 3601, 540, 1216, 269, 4826, 568, 8701, 269, 4826, 568, 606, 5140, 19857, 269, 4826, 814, 1164, 3002, 4390, 269, 4826, 814, 1164, 3002, 540, 563, 27793, 267, 7250, 267, 5135, 543, 9436, 616, 1634, 607, 519, 1292, 5214, 2609, 1317, 789, 1106, 519, 2679, 7161, 602, 1118, 1272, 2009, 269, 7324, 519, 2185, 267, 3327, 568, 5310, 519, 1034, 2027, 267, 2094, 621, 666, 1106, 7554, 609, 3294, 543, 2306, 6675, 602, 723, 1082, 1114, 5546, 1547, 4649, 264, 568, 1932, 1507, 547, 1450, 3327, 547, 1106, 595, 476, 275, 268, 687, 609, 1034, 8407, 543, 1932, 1804, 585, 3327, 547, 1106, 595, 476, 275, 266, 12274, 950, 621, 23465, 609, 1875, 5471, 1023, 269, 12539, 4061, 3029, 32128, 7554, 609, 1082, 824, 2609, 269, 476, 274, 269, 12539, 3029, 2178, 5595, 543, 17784, 7554, 609, 513, 1297, 540, 824, 1875, 5471, 1023, 267, 1519, 715, 267, 744, 267, 623, 269, 1452, 2609, 616, 5532, 676, 2178, 32128, 7554, 269, 12539, 267, 609, 922, 2185, 32128, 7554, 267, 568, 519, 2596, 2679, 3625, 538, 7636, 6189, 269, 634, 1390, 4763, 540, 5214, 6675, 609, 741, 2027, 3601, 19674, 689, 519, 2189, 11460, 540, 519, 3327, 22403, 543, 519, 6198, 2516, 7923, 547, 519, 22403, 634, 3327, 4783, 6257, 519, 1184, 538, 799, 3327, 8444, 16111, 2951, 689, 519, 5790, 547, 519, 3047, 543, 1287, 1394, 883, 519, 5790, 269, 4595, 938, 4541, 543, 922, 5790, 1106, 513, 6806, 1604, 267, 519, 2179, 540, 3327, 538, 713, 1062, 1281, 711, 1689, 269, 7316, 519, 3327, 568, 4092, 2443, 538, 519, 5790, 610, 593, 3047, 2443, 568, 7683, 538, 13441, 1772, 582, 8554, 269, 4014, 1142, 3693, 814, 513, 2189, 1297, 540, 22571, 267, 621, 666, 2291, 607, 1114, 24745, 269, 1323, 24236, 568, 835, 540, 519, 1114, 3029, 540, 606, 3693, 267, 13747, 689, 835, 1776, 676, 1114, 2338, 540, 25268, 269, 634, 3044, 24236, 540, 3327, 568, 476, 1321, 290, 267, 4122, 1572, 3327, 12964, 269, 476, 1321, 290, 814, 3670, 22571, 543, 3670, 25268, 267, 585, 513, 2527, 1297, 540, 12964, 454, 1432, 2306, 3327, 971, 513, 2189, 3693, 286, 476, 273, 6423, 4267, 2620, 320, 3583, 2620, 320, 3583, 670, 4512, 4512, 4512, 2577, 4512, 4512, 269, 5236, 372, 493, 12539, 568, 2027, 1317, 922, 8444, 666, 6125, 547, 1142, 824, 547, 513, 18374, 19957, 4110, 269, 901, 568, 2009, 1317, 540, 3327, 781, 6475, 12122, 269, 1677, 1174, 875, 713, 568, 865, 267, 621, 568, 1271, 547, 5905, 593, 20771, 3069, 3327, 7135, 1106, 519, 4493, 540, 782, 2713, 7103, 269, 3327, 568, 606, 2189, 3693, 607, 621, 568, 1336, 538, 1863, 1106, 538, 2470, 269, 3327, 609, 922, 1130, 1890, 476, 275, 267, 621, 666, 3362, 9192, 609, 824, 2609, 543, 269, 12539, 568, 606, 6909, 3693, 269, 28081, 3327, 8444, 538, 835, 1259, 267, 543, 789, 1831, 2571, 267, 726, 4192, 27948, 269, 1234, 18191, 580, 3455, 519, 11460, 267, 543, 2443, 15341, 334, 256, 2443, 519, 8444, 1106, 14776, 267, 835, 540, 519, 23698, 269, 519, 2609, 538, 6828, 476, 279, 288, 270, 1240, 540, 519, 829, 1470, 546, 545, 3349, 267, 1100, 2746, 2032, 1317, 789, 2907, 723, 2407, 7387, 14599, 24236, 1323, 24236, 630, 534, 10570, 1106, 540, 513, 3114, 3693, 3738, 602, 568, 5667, 3349, 282, 519, 13540, 1232, 904, 31380, 267, 4758, 1055, 3713, 762, 5536, 543, 1648, 269, 6167, 3951, 476, 274, 18040, 2969, 654, 17751, 306, 27114, 966, 5357, 290, 3198, 302, 292, 590, 5442, 14566, 308, 9970, 14160, 8379, 12442, 454, 5629, 1305, 1863, 267, 5135, 678, 16640, 2476, 689, 519, 9436, 547, 9192, 609, 519, 2609, 621, 27422, 281, 3327, 267, 7250, 543, 1256, 824, 5135, 8444, 267, 6028, 519, 9436, 547, 6292, 909, 609, 1142, 824, 634, 1292, 2609, 538, 16243, 5374, 269, 32255, 5374, 4016, 547, 513, 2647, 3099, 540, 9344, 540, 4496, 799, 2270, 606, 18585, 602, 814, 693, 2547, 476, 1015, 269, 276, 260, 540, 26388, 609, 1970, 3327, 1543, 267, 824, 2609, 616, 3773, 547, 1118, 1142, 540, 3446, 2348, 2189, 4162, 12539, 568, 513, 3114, 3693, 267, 899, 7250, 267, 5135, 267, 1291, 610, 1022, 540, 519, 1866, 538, 519, 13350, 3349, 269, 12539, 568, 513, 1360, 10731, 3693, 269, 898, 6818, 538, 6986, 610, 5176, 6986, 3029, 910, 971, 607, 19987, 563, 27793, 568, 519, 1034, 10731, 3693, 593, 3047, 269, 898, 568, 519, 1292, 5057, 540, 6211, 7135, 607, 1134, 607, 6886, 269, 12539, 4783, 6257, 519, 3350, 540, 3327, 2219, 519, 4541, 269, 12539, 5631, 9979, 2219, 519, 5790, 538, 519, 31529, 1106, 269, 12539, 6818, 538, 519, 5790, 607, 3327, 8166, 3154, 630, 4596, 476, 273, 264, 12539, 568, 835, 540, 519, 1034, 1271, 2609, 593, 3047, 543, 3029, 519, 3114, 4493, 540, 1272, 269, 898, 568, 1634, 547, 581, 519, 6957, 18818, 1034, 10731, 3693, 538, 519, 3047, 781, 12933, 543, 519, 8772, 1034, 10731, 3693, 538, 519, 3003, 7122, 267, 538, 2474, 540, 2527, 269, 634, 3693, 3029, 6634, 540, 7135, 267, 602, 32427, 622, 519, 8647, 540, 5214, 1272, 593, 938, 269, 12539, 268, 1691, 6580, 267, 1505, 540, 2085, 8990, 602, 5673, 2390, 519, 9178, 547, 9436, 540, 28650, 630, 21666, 268, 1691, 1040, 12539, 268, 1691, 568, 16111, 4646, 538, 2470, 676, 519, 5872, 540, 25268, 609, 9436, 268, 1691, 538, 519, 3047, 781, 5790, 269, 6258, 811, 827, 3327, 268, 1691, 6580, 538, 713, 2376, 634, 11999, 2179, 540, 5214, 7135, 543, 741, 11684, 2470, 616, 519, 1267, 540, 3327, 781, 1596, 4593, 8462, 267, 513, 16023, 602, 666, 581, 11911, 547, 922, 2189, 2497, 269, 4653, 267, 5176, 476, 273, 2929, 5214, 7135, 723, 1044, 9678, 610, 6353, 269, 1703, 616, 476, 275, 9211, 538, 3327, 781, 3803, 610, 32447, 10739, 267, 799, 14998, 519, 4687, 540, 476, 275, 9211, 454, 27793, 568, 519, 1292, 25499, 540, 782, 2713, 2281, 269, 898, 814, 3114, 3601, 602, 1118, 621, 519, 1034, 1271, 6211, 3693, 269, 1280, 3236, 267, 621, 3029, 2178, 3114, 7554, 543, 666, 1106, 2582, 269, 1547, 901, 6087, 3327, 547, 1106, 1279, 267, 6024, 11800, 267, 8371, 543, 17787, 9967, 540, 3327, 543, 7250, 538, 30691, 543, 1152, 3327, 538, 3327, 28286, 1886, 525, 971, 607, 595, 476, 2568, 454, 269, 12518, 10544, 3327, 8166, 689, 519, 5790, 547, 946, 538, 15591, 282, 930, 540, 713, 3327, 568, 11843, 547, 3037, 607, 2371, 5884, 543, 269, 543, 4163, 856, 1272, 3157, 269, 12539, 568, 519, 1292, 3693, 538, 5214, 7135, 267, 865, 3327, 568, 1898, 547, 1272, 593, 3047, 269, 5015, 267, 519, 2626, 6013, 609, 3327, 781, 2189, 3601, 269, 12539, 814, 606, 11108, 2702, 547, 12622, 609, 513, 2647, 3099, 540, 824, 2609, 269, 12539, 2306, 2185, 9211, 2139, 547, 585, 454, 295, 655, 18331, 267, 610, 688, 655, 18331, 630, 4944, 2454, 3604, 264, 630, 5228, 5259, 14668, 413, 376, 371, 19031, 10382, 267, 688, 383, 362, 2742, 1412, 29188, 262, 1341, 5824, 5895, 639, 1412, 4252, 267, 12106, 262, 1341, 910, 514, 264, 630, 270, 476, 16659, 554, 1775, 27474, 544, 476, 16745, 476, 391, 490, 476, 389, 350, 561, 522, 390, 488, 536, 476, 22688, 562, 267, 476, 16659, 554, 476, 389, 505, 268, 16427, 332, 522, 390, 488, 268, 270, 1070, 28484, 670, 321, 610, 29666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19465, 3459, 538, 476, 5908, 274, 543, 519, 4070, 729, 17298, 676, 4600, 945, 1185, 6140, 6294, 3603, 689, 3624, 269, 634, 1318, 6361, 17574, 1287, 18188, 1524, 4414, 6229, 24258, 593, 513, 3366, 613, 630, 560, 650, 7805, 2221, 264, 1175, 1657, 25882, 327, 32231, 10003, 267, 3356, 532, 22703, 2250, 519, 1507, 2146, 540, 24258, 269, 634, 3689, 3690, 11666, 1581, 21805, 538, 3345, 3013, 729, 3710, 538, 519, 476, 5908, 271, 338, 267, 16046, 519, 1134, 2919, 16749, 3060, 540, 519, 5101, 5032, 609, 6385, 3395, 4993, 269, 3245, 513, 22882, 1175, 22070, 540, 962, 18866, 4975, 267, 1776, 7936, 1467, 10443, 7178, 547, 8585, 22941, 543, 2051, 25901, 269, 634, 2856, 540, 796, 1746, 519, 2197, 609, 513, 16456, 729, 4535, 538, 519, 1647, 540, 519, 476, 866, 628, 2540, 267, 543, 1079, 3549, 3459, 2324, 593, 713, 26832, 23072, 538, 519, 476, 5908, 271, 338, 282, 5742, 7414, 21805, 4358, 689, 15345, 21036, 3001, 7532, 267, 543, 6239, 7414, 21805, 4358, 538, 15762, 26963, 334, 2560, 654, 2562, 1948, 277, 1269, 1015, 267, 1822, 269, 876, 28047, 312, 269, 898, 729, 8719, 538, 476, 3192, 278, 269, 14645, 9736, 476, 1001, 278, 269, 634, 715, 2207, 4682, 883, 28153, 538, 476, 4489, 275, 267, 543, 729, 9715, 676, 513, 1007, 18294, 3957, 519, 15762, 26963, 334, 8832, 21805, 630, 17928, 305, 305, 1040, 6902, 519, 15639, 540, 519, 15762, 26963, 334, 8832, 781, 10172, 5721, 7542, 787, 267, 834, 305, 17868, 21968, 543, 519, 10205, 618, 540, 3028, 593, 519, 667, 21779, 25032, 269, 769, 519, 1930, 2197, 267, 519, 1899, 1031, 513, 4396, 267, 20114, 1283, 9762, 716, 3791, 7841, 269, 3509, 616, 693, 519, 267, 769, 962, 18866, 4975, 267, 519, 3312, 8832, 11272, 8115, 936, 519, 3171, 1430, 5211, 568, 1869, 7555, 1498, 519, 986, 2812, 723, 1044, 6569, 269, 1261, 5280, 538, 12180, 519, 15762, 26963, 334, 7732, 5948, 267, 799, 2663, 2968, 519, 15762, 26963, 334, 5398, 7732, 269, 1261, 729, 711, 519, 1101, 610, 1152, 812, 540, 1010, 942, 547, 32230, 540, 513, 16456, 2196, 14269, 2507, 2201, 4864, 476, 1556, 267, 476, 6977, 276, 267, 513, 1554, 1310, 519, 8274, 5870, 267, 28311, 543, 1614, 1866, 4604, 539, 513, 1688, 8364, 593, 519, 986, 2812, 267, 3710, 547, 2947, 20356, 15378, 267, 602, 941, 9788, 1524, 15762, 26963, 334, 779, 681, 9335, 543, 14593, 741, 1259, 1524, 519, 13475, 269, 2201, 4864, 476, 275, 267, 476, 6977, 273, 519, 15762, 26963, 334, 9503, 21805, 729, 11368, 267, 8176, 12493, 14355, 729, 5697, 5518, 269, 898, 568, 6059, 602, 476, 1321, 267, 1822, 31356, 941, 6964, 1282, 519, 4070, 540, 519, 16749, 269, 1358, 8694, 909, 2469, 593, 10880, 543, 4607, 606, 2333, 538, 14057, 269, 25684, 269, 1548, 3690, 11666, 1581, 21805, 3459, 538, 15762, 26963, 334, 11404, 286, 14970, 7641, 269, 898, 729, 10032, 676, 3595, 593, 2904, 476, 1704, 267, 476, 4489, 275, 269, 3778, 15638, 540, 519, 3690, 11666, 1581, 16456, 269, 8298, 538, 585, 811, 1344, 269, 2311, 4639, 15762, 26963, 334, 267, 1175, 7178, 540, 519, 18975, 15167, 267, 519, 1899, 547, 8381, 1633, 2451, 519, 5045, 20129, 1292, 1899, 543, 18188, 7178, 269, 1703, 941, 1614, 8371, 267, 835, 547, 8381, 1633, 267, 835, 547, 2051, 25901, 267, 543, 835, 547, 744, 549, 6807, 269, 6270, 782, 11060, 5827, 6517, 941, 6467, 762, 1063, 476, 7785, 966, 543, 476, 272, 267, 1220, 966, 5106, 282, 789, 1223, 849, 7500, 693, 3368, 1379, 693, 519, 476, 272, 267, 1220, 966, 4259, 593, 476, 7785, 966, 16841, 269, 1358, 941, 7363, 3773, 610, 6569, 538, 15762, 26963, 334, 269, 634, 15993, 22045, 568, 1100, 3476, 7298, 267, 7361, 607, 513, 1267, 540, 513, 26949, 728, 799, 7018, 1282, 519, 4432, 15281, 25123, 22856, 540, 519, 2038, 476, 2735, 271, 338, 269, 1261, 1131, 1318, 2685, 2909, 326, 540, 1373, 519, 812, 945, 3710, 519, 16456, 269, 1358, 3710, 741, 851, 540, 519, 16456, 547, 8871, 2632, 800, 267, 18096, 269, 634, 6239, 7414, 21805, 2201, 5130, 476, 279, 267, 476, 5908, 274, 267, 4070, 540, 519, 6239, 7414, 21805, 3459, 538, 15762, 26963, 334, 267, 4993, 269, 898, 729, 26948, 519, 5842, 12770, 4149, 659, 26963, 334, 21805, 13713, 269, 634, 16595, 5721, 3576, 476, 276, 32162, 476, 6246, 1295, 689, 932, 4815, 547, 5842, 12770, 267, 543, 476, 273, 32162, 476, 4366, 1295, 15762, 26963, 334, 547, 24700, 269, 1403, 596, 723, 513, 2243, 596, 666, 3406, 585, 519, 2626, 2630, 256, 2274, 3058, 962, 18866, 4975, 16144, 31023, 2509, 2051, 25901, 593, 670, 310, 312, 476, 736, 267, 519, 14460, 17252, 13478, 301, 2051, 25901, 1899, 568, 593, 519, 1318, 543, 7298, 585, 1082, 5195, 269, 634, 6239, 7414, 21805, 7577, 540, 4993, 4988, 1287, 1985, 476, 277, 3445, 5195, 909, 547, 8871, 2632, 800, 27169, 543, 519, 5742, 7414, 7577, 3710, 2560, 898, 729, 2663, 267, 538, 5437, 540, 476, 5908, 280, 267, 950, 519, 6239, 7414, 4448, 5842, 12770, 547, 15762, 26963, 334, 269, 2353, 1614, 1223, 711, 581, 1031, 693, 519, 1482, 942, 282, 519, 3844, 3950, 6772, 11474, 519, 824, 1079, 267, 543, 2901, 519, 2582, 3844, 3950, 610, 519, 1079, 3544, 13475, 1223, 581, 1031, 267, 4470, 593, 4452, 269, 634, 6149, 8115, 7796, 902, 849, 2611, 1141, 621, 18084, 519, 3171, 1430, 5211, 607, 1134, 607, 930, 3574, 7796, 902, 547, 519, 7532, 1498, 789, 616, 1373, 6569, 270, 10767, 1221, 1813, 547, 4070, 540, 5211, 321, 754, 5244, 269, 634, 570, 306, 543, 519, 595, 6311, 1031, 519, 1482, 25708, 15762, 26963, 334, 12363, 543, 10443, 2047, 593, 15762, 26963, 334, 10754, 269, 3245, 1934, 519, 1899, 8399, 539, 5087, 2066, 606, 3573, 22153, 1633, 593, 513, 1279, 1726, 560, 548, 269, 634, 10548, 517, 729, 19622, 538, 476, 4198, 275, 1310, 513, 11076, 15050, 14791, 5462, 602, 519, 26083, 726, 908, 729, 1100, 3476, 538, 513, 2922, 2783, 267, 543, 621, 729, 22696, 5529, 12725, 907, 6239, 7414, 21805, 267, 1977, 16456, 2754, 8547, 538, 476, 5908, 272, 676, 513, 1895, 540, 4993, 22278, 1634, 2663, 607, 519, 2048, 19136, 9050, 685, 630, 17686, 529, 623, 269, 15391, 15838, 267, 700, 14657, 18628, 267, 4460, 22846, 267, 543, 8176, 595, 13702, 518, 5148, 789, 616, 1655, 15422, 585, 2348, 3710, 851, 540, 519, 1101, 1977, 1098, 11666, 1581, 7841, 1899, 269, 5753, 693, 15167, 9335, 16504, 3427, 1419, 1294, 6216, 1007, 3627, 1546, 699, 8778, 832, 543, 824, 3937, 21945, 538, 962, 18866, 4975, 543, 1585, 6694, 21113, 6028, 519, 2749, 269, 634, 1098, 11666, 1581, 16456, 729, 3710, 676, 519, 5742, 7414, 21805, 2469, 7178, 689, 15345, 21036, 267, 27228, 269, 12484, 1302, 1169, 3444, 8265, 7178, 540, 700, 1046, 514, 10003, 689, 962, 18866, 4975, 547, 519, 26365, 17010, 1310, 321, 599, 2282, 744, 549, 6807, 814, 2963, 540, 519, 2025, 16456, 3446, 269, 5130, 476, 279, 267, 476, 5908, 274, 269, 634, 6411, 941, 13166, 9896, 883, 1876, 538, 5147, 540, 602, 1032, 676, 5518, 14062, 12493, 269, 589, 18187, 320, 540, 519, 21586, 27692, 3493, 582, 2679, 729, 3710, 538, 519, 3312, 4087, 543, 1631, 5713, 607, 513, 2146, 5870, 1747, 267, 513, 8436, 4099, 543, 513, 15762, 26963, 334, 6019, 15593, 858, 781, 4972, 10137, 5604, 269, 5808, 3710, 519, 6239, 7414, 21805, 286, 476, 4495, 538, 1930, 2197, 267, 19301, 781, 18213, 14884, 10443, 693, 9425, 3728, 11250, 269, 634, 13475, 2196, 689, 5045, 540, 5842, 4486, 10003, 547, 1175, 7178, 540, 519, 654, 303, 13475, 693, 513, 476, 3393, 4110, 5086, 269, 31187, 28311, 267, 513, 3540, 11653, 945, 5280, 1628, 519, 1101, 16456, 538, 4993, 267, 15469, 513, 8905, 2059, 519, 476, 6078, 588, 6252, 267, 4881, 998, 27228, 267, 29131, 267, 18096, 267, 21600, 267, 543, 4993, 269, 12226, 547, 1272, 781, 2055, 267, 4208, 616, 1733, 1446, 1744, 10225, 606, 29510, 15661, 267, 1215, 3509, 18831, 5269, 909, 519, 20448, 269, 769, 476, 4572, 276, 519, 654, 303, 2813, 513, 834, 2908, 257, 15762, 26963, 334, 8832, 24020, 630, 17928, 305, 344, 1070, 538, 1931, 547, 1895, 519, 3395, 4015, 540, 654, 303, 954, 18076, 16456, 3180, 902, 269, 4993, 8905, 476, 736, 18084, 519, 15762, 26963, 334, 5211, 693, 631, 1229, 1014, 593, 513, 8115, 849, 8876, 519, 15762, 26963, 334, 8832, 781, 1899, 547, 2051, 25901, 269, 898, 568, 4092, 1175, 547, 519, 5045, 540, 519, 670, 14567, 476, 736, 8115, 543, 1869, 814, 519, 17252, 3355, 338, 593, 1312, 5011, 540, 519, 8115, 269, 3525, 665, 16456, 9142, 4503, 9562, 540, 519, 9754, 1412, 338, 8628, 4015, 3459, 5275, 9520, 28311, 1862, 476, 272, 267, 476, 4198, 278, 3323, 693, 519, 2025, 15385, 609, 519, 5742, 7414, 267, 945, 1852, 1869, 1378, 519, 4797, 269, 6796, 4797, 543, 729, 5063, 18949, 539, 3018, 1485, 14884, 689, 26352, 7921, 547, 945, 3710, 519, 16456, 602, 3459, 538, 5485, 26963, 334, 12770, 543, 1079, 14884, 1862, 12984, 5063, 18949, 539, 18546, 1881, 3950, 693, 21586, 966, 16695, 808, 4233, 568, 519, 1459, 11272, 1862, 4639, 15993, 1858, 1412, 338, 5375, 2165, 19434, 1472, 519, 7178, 7532, 1189, 849, 8876, 519, 15762, 26963, 334, 8832, 7841, 1281, 2943, 1862, 14348, 3142, 1454, 2877, 4123, 547, 519, 8381, 1633, 12363, 729, 2673, 547, 8381, 1633, 1862, 769, 476, 4489, 275, 10912, 621, 519, 7414, 16456, 602, 3459, 538, 4993, 543, 22755, 7532, 1189, 3590, 30403, 5665, 543, 256, 7010, 538, 476, 5908, 273, 267, 519, 16456, 729, 3710, 1063, 476, 5908, 274, 543, 519, 13475, 941, 519, 1862, 5221, 540, 519, 15993, 3294, 568, 1869, 3254, 607, 19301, 269, 5185, 922, 1034, 25412, 543, 5906, 267, 256, 4639, 607, 15345, 21036, 1354, 519, 986, 2812, 11074, 519, 1739, 1032, 267, 26708, 3028, 4797, 543, 729, 5063, 18949, 539, 1472, 7178, 24222, 2189, 585, 971, 513, 1507, 4884, 543, 941, 1373, 9112, 1472, 519, 7178, 7532, 1189, 3937, 851, 256, 6271, 2777, 2893, 1657, 543, 3297, 519, 2025, 16456, 3446, 5595, 8694, 513, 1862, 17130, 267, 5969, 513, 8905, 998, 519, 10239, 729, 513, 3500, 267, 7199, 5906, 1862, 932, 4815, 3028, 16768, 2394, 476, 3707, 278, 28624, 267, 594, 1412, 332, 7033, 543, 594, 1616, 547, 596, 1862, 18718, 1633, 543, 15762, 26963, 334, 547, 8381, 1633, 267, 835, 7841, 1899, 729, 13166, 6192, 2904, 256, 634, 2451, 267, 7298, 782, 519, 1259, 945, 3710, 519, 16456, 602, 3459, 538, 5485, 26963, 334, 6307, 338, 6807, 609, 4277, 1507, 2807, 1772, 519, 1459, 4993, 11272, 24020, 630, 715, 2207, 3738, 8325, 7455, 693, 28011, 19743, 267, 594, 1412, 332, 7033, 543, 594, 1616, 547, 10950, 596, 547, 1616, 339, 758, 852, 527, 2593, 513, 1267, 540, 519, 8115, 519, 269, 769, 3013, 538, 519, 476, 8146, 271, 338, 2059, 519, 15762, 26963, 334, 9503, 16456, 729, 6417, 676, 9050, 2367, 1572, 519, 8262, 269, 631, 3437, 547, 4993, 1141, 646, 3710, 519, 1533, 11313, 521, 3312, 2012, 540, 713, 1899, 729, 1063, 1862, 25397, 540, 519, 15993, 22045, 1223, 581, 4767, 538, 519, 6728, 14616, 476, 3192, 273, 269, 8828, 4993, 581, 10032, 4986, 538, 1063, 891, 1079, 2038, 17260, 1318, 540, 1259, 998, 2552, 571, 6019, 269, 5272, 3444, 8265, 7178, 540, 519, 2244, 693, 8265, 15174, 543, 1073, 324, 3539, 6808, 6786, 13475, 5612, 18084, 25882, 327, 32231, 269, 634, 5742, 7414, 3323, 693, 519, 18718, 1633, 631, 1961, 538, 7178, 18718, 1633, 1287, 5518, 12493, 256, 29740, 713, 8978, 16456, 267, 1832, 2542, 547, 1265, 856, 2475, 267, 27437, 267, 1007, 10215, 4789, 269, 769, 5130, 476, 5908, 274, 267, 595, 13702, 518, 267, 513, 512, 1503, 2917, 15393, 267, 543, 3297, 519, 12363, 5196, 1292, 998, 269, 1772, 711, 593, 513, 8115, 476, 15171, 5195, 1063, 18718, 1633, 543, 15762, 26963, 334, 267, 1175, 540, 1862, 2961, 15615, 2511, 7178, 607, 15345, 21036, 1354, 519, 986, 2812, 11074, 5087, 540, 15762, 26963, 334, 729, 1769, 543, 1223, 7500, 1862, 16874, 5094, 23525, 1044, 543, 941, 1373, 9112, 1472, 519, 7178, 15993, 1858, 1317, 540, 954, 28947, 609, 519, 1007, 28011, 634, 22045, 1185, 1044, 1079, 5094, 954, 18076, 3549, 8220, 693, 15762, 26963, 334, 2394, 23511, 1772, 851, 540, 519, 5375, 7414, 543, 5742, 7414, 3323, 693, 519, 16713, 538, 269, 570, 12447, 10470, 267, 519, 6239, 7414, 4448, 5842, 12770, 543, 1079, 19270, 867, 547, 1862, 4438 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 24078, 4535, 593, 2904, 476, 1321, 267, 476, 3707, 276, 538, 31656, 4536, 267, 799, 568, 4092, 538, 519, 589, 686, 2946, 26955, 335, 3477, 538, 519, 5045, 540, 5333, 563, 14367, 4651, 729, 513, 1153, 4116, 269, 2311, 519, 2085, 540, 8370, 267, 674, 4768, 2946, 6594, 693, 715, 1221, 1069, 5674, 518, 267, 513, 1153, 602, 6026, 5939, 2575, 540, 519, 31303, 543, 11157, 8696, 2540, 269, 674, 4768, 2946, 729, 2760, 513, 2875, 540, 519, 8303, 20271, 6737, 790, 269, 2311, 22221, 267, 1010, 1101, 2575, 2816, 729, 606, 1418, 626, 693, 513, 5939, 693, 681, 15086, 538, 2826, 339, 1415, 269, 4438, 519, 1985, 4557, 1296, 267, 1010, 7574, 4876, 729, 29169, 676, 519, 30473, 6261, 337, 11701, 2112, 563, 3891, 9310, 21322, 2605, 2946, 332, 2884, 267, 519, 8250, 540, 513, 4583, 9380, 528, 269, 1261, 1185, 1079, 14930, 563, 1103, 519, 3735, 476, 6942, 271, 781, 267, 646, 7768, 519, 1101, 15329, 514, 12312, 1092, 543, 595, 5634, 623, 10730, 31763, 564, 563, 1103, 476, 6642, 277, 267, 646, 7768, 519, 10671, 22044, 7136, 538, 3965, 540, 1010, 4651, 563, 1103, 476, 6245, 277, 267, 646, 729, 12912, 519, 8783, 1418, 626, 693, 519, 17214, 548, 710, 543, 7548, 540, 5888, 693, 519, 8303, 20271, 6737, 790, 267, 543, 2663, 607, 519, 2212, 540, 519, 8303, 20271, 6737, 790, 563, 3891, 4371, 713, 2990, 585, 19939, 1296, 269, 1717, 646, 729, 4280, 547, 29997, 1813, 547, 1010, 2530, 540, 6217, 563, 294, 629, 21119, 674, 4768, 2946, 729, 606, 1271, 21917, 538, 519, 1686, 540, 3943, 2575, 15646, 817, 766, 269, 1261, 8329, 547, 12068, 543, 14440, 1151, 657, 563, 293, 4768, 2946, 781, 2575, 568, 1713, 538, 1010, 14440, 15885, 269, 1717, 267, 646, 1705, 711, 2328, 513, 12312, 1092, 585, 519, 14440, 269, 1280, 1383, 267, 519, 27484, 543, 29938, 538, 595, 8325, 5634, 568, 513, 2101, 960, 269, 4107, 519, 14440, 1568, 941, 12050, 543, 23191, 269, 1261, 1705, 711, 6427, 1007, 22334, 267, 855, 646, 1705, 4383, 547, 1265, 606, 9058, 1505, 540, 2921, 835, 512, 4689, 1871, 547, 1776, 563, 293, 4768, 2946, 849, 729, 1634, 585, 24609, 532, 519, 18749, 4110, 540, 519, 4336, 563, 294, 629, 21119, 674, 4768, 2946, 5747, 538, 476, 4572, 275, 563, 288, 24744, 547, 674, 4768, 2946, 729, 1500, 676, 513, 3943, 2575, 6048, 267, 14639, 932, 656, 822, 334, 710, 538, 513, 2376, 538, 519, 2274, 631, 26408, 18863, 7758, 269, 834, 2005, 568, 711, 2614, 547, 2161, 602, 646, 729, 741, 3705, 614, 267, 711, 1256, 741, 9148, 16634, 1103, 930, 2665, 646, 814, 2965, 7000, 873, 676, 6679, 909, 585, 873, 454, 6546, 3148, 540, 938, 8186, 799, 519, 1781, 545, 652, 1913, 538, 19621, 4633, 723, 6382, 8959, 547, 23309, 2507, 1103, 713, 2463, 28792, 674, 4768, 2946, 5129, 267, 538, 519, 3474, 333, 817, 1014, 543, 13507, 626, 2085, 540, 5333, 267, 513, 851, 11291, 532, 602, 540, 5576, 2459, 333, 538, 519, 11509, 2085, 538, 5125, 4799, 16248, 1296, 1310, 1010, 2669, 267, 1614, 540, 713, 1053, 267, 27673, 546, 262, 5715, 344, 267, 8176, 645, 867, 525, 543, 22176, 663, 516, 2871, 559, 332, 656, 3323, 513, 1153, 538, 8303, 538, 476, 6245, 275, 269, 901, 729, 519, 590, 338, 3273, 320, 22616, 28262, 538, 3965, 543, 547, 3895, 1010, 3450, 543, 2093, 563, 6781, 12934, 7007, 5758, 540, 7418, 676, 28792, 674, 4768, 2946, 0, 1607, 2376, 630, 663, 7074, 1382, 264, 2306, 922, 1448, 1360, 1134, 543, 2501, 2059, 693, 513, 942, 950, 519, 2856, 540, 513, 16798, 5934, 4747, 568, 1373, 6083, 730, 676, 1114, 2477, 543, 14761, 630, 16694, 281, 513, 2487, 8917, 538, 16848, 8959, 547, 29343, 513, 5934, 4747, 3609, 15828, 1177, 1040, 634, 2360, 540, 6710, 593, 3206, 543, 3375, 1818, 723, 1044, 7074, 676, 1866, 630, 300, 8643, 1696, 620, 267, 20961, 1696, 620, 264, 855, 713, 2376, 1281, 513, 1434, 2816, 540, 17444, 1927, 1896, 26256, 564, 2090, 563, 2467, 616, 1082, 2081, 547, 1935, 519, 2243, 540, 2048, 25585, 798, 4057, 1004, 798, 31945, 1919, 286, 685, 543, 789, 782, 3100, 547, 581, 15738, 547, 513, 1906, 1883, 2093, 563, 2690, 1383, 267, 3173, 12253, 918, 23167, 17507, 543, 4911, 639, 1546, 26293, 723, 1336, 602, 513, 5934, 5993, 4747, 540, 1472, 1269, 4037, 298, 729, 519, 25162, 4747, 1377, 585, 5021, 3800, 540, 968, 27168, 1860, 892, 630, 328, 4318, 1421, 21286, 4191, 540, 8788, 264, 543, 2123, 1134, 5630, 630, 663, 3564, 799, 1582, 3146, 1636, 532, 540, 1134, 5630, 798, 711, 2333, 270, 4219, 1040, 4658, 693, 713, 1377, 540, 4747, 610, 2362, 616, 811, 2693, 547, 1867, 1373, 968, 560, 816, 1863, 892, 519, 1554, 1354, 630, 663, 267, 607, 649, 723, 2938, 267, 3586, 2566, 936, 18083, 568, 513, 2101, 2707, 540, 2048, 322, 4321, 15717, 685, 1040, 6423, 1250, 476, 1001, 271, 2376, 2048, 14559, 6496, 2048, 24246, 685, 19732, 1465, 267, 5455, 547, 589, 8672, 685, 630, 10674, 2517, 17839, 1115, 1511, 2593, 270, 1001, 271, 270, 1015, 270, 1691, 8276, 2292, 1673, 3996, 1532, 8500, 3620, 1952, 1465, 5346, 3562, 8584, 15304, 270, 994, 9827, 267, 585, 513, 811, 538, 3829, 2079, 540, 519, 1198, 540, 6710, 593, 519, 4057, 630, 6518, 2882, 930, 540, 519, 1382, 7074, 538, 713, 2376, 264, 2443, 10771, 519, 2856, 540, 2048, 322, 4321, 17211, 685, 2443, 2638, 856, 1250, 476, 1001, 274, 4062, 2048, 1692, 24770, 6764, 4202, 10076, 9577, 532, 1656, 8871, 4925, 20322, 5652, 17423, 5336, 1136, 685, 630, 10674, 2517, 17839, 1115, 1511, 2593, 270, 1001, 274, 270, 1015, 270, 1321, 270, 6011, 1790, 20191, 27780, 4202, 268, 11365, 1922, 4233, 532, 7146, 1790, 668, 4925, 268, 5142, 5652, 11546, 322, 2581, 6194, 270, 264, 0, 257, 14399, 1616, 547, 2263, 519, 1158, 538, 2239, 1106, 1317, 621, 2488, 10373, 3354, 538, 513, 4657, 1158, 1701, 634, 1913, 540, 21629, 267, 7788, 11219, 29516, 631, 4669, 27895, 693, 513, 2487, 10554, 14120, 519, 1379, 540, 519, 1433, 563, 4517, 875, 519, 1158, 814, 4957, 2094, 2622, 2782, 476, 272, 563, 12988, 538, 476, 4489, 275, 25190, 976, 24363, 998, 7784, 32314, 22839, 547, 5838, 6835, 269, 22307, 4536, 887, 1372, 593, 7504, 3724, 267, 23502, 5243, 986, 1027, 2066, 6370, 26753, 547, 5838, 14849, 1101, 5351, 20164, 543, 519, 15875, 6682, 601, 17620, 29211, 3560, 563, 12988, 1753, 598, 24329, 941, 6394, 676, 1453, 585, 10514, 1818, 269, 32402, 6840, 538, 717, 3234, 338, 2421, 29633, 512, 1231, 540, 11945, 543, 20034, 25888, 547, 519, 4229, 1247, 513, 17646, 540, 10787, 19207, 781, 547, 6332, 689, 4498, 5766, 622, 10710, 513, 17199, 781, 1272, 269, 834, 30942, 1154, 257, 2968, 606, 4013, 2165, 607, 7980, 14437, 1247, 16116, 561, 823, 834, 577, 1846, 257, 856, 540, 1142, 824, 781, 26977, 543, 519, 834, 1372, 788, 569, 26845, 547, 1217, 596, 257, 5022, 941, 9447, 547, 14221, 3885, 676, 751, 5586, 1090, 8695, 593, 30158, 563, 4517, 1287, 519, 1158, 19557, 607, 15352, 31409, 2473, 309, 5418, 12184, 585, 519, 834, 326, 12584, 547, 2887, 14980, 693, 2547, 2390, 519, 3781, 519, 23109, 31025, 1701, 634, 2829, 5443, 4769, 1405, 6432, 267, 855, 519, 7980, 1705, 269, 15932, 17061, 540, 4708, 2059, 3143, 2494, 781, 8092, 3576, 1747, 593, 8285, 4303, 476, 4489, 275, 607, 7980, 689, 1312, 519, 6239, 25024, 543, 519, 27469, 2322, 1524, 741, 15963, 543, 695, 809, 3946, 538, 11505, 563, 763, 570, 16078, 1522, 723, 1044, 2110, 5030, 855, 621, 7152, 519, 1379, 540, 519, 1480, 6891, 538, 519, 1034, 27337, 881, 540, 3871, 563, 2690, 1762, 1453, 267, 5013, 899, 891, 616, 4241, 269, 1358, 2697, 609, 519, 1920, 588, 4459, 523, 676, 519, 2530, 540, 741, 5067, 267, 609, 519, 22838, 540, 519, 2367, 543, 2021, 945, 1981, 539, 1272, 585, 513, 1732, 1158, 267, 543, 789, 13469, 609, 519, 1379, 540, 6965, 543, 875, 1402, 6853, 4610, 543, 1236, 2643, 10225, 4547, 4313, 547, 519, 7092, 593, 519, 4395, 1899, 563, 21953, 267, 538, 1082, 2665, 789, 616, 7508, 856, 606, 4316, 547, 7703, 7198, 563, 8333, 754, 762, 1445, 676, 519, 2229, 814, 1044, 1500, 547, 2327, 602, 6281, 1153, 1453, 616, 3769, 538, 519, 16033, 725, 269, 2311, 1459, 1079, 1453, 689, 1169, 1533, 6281, 1153, 538, 4789, 2394, 4728, 476, 1001, 280, 616, 2016, 519, 4316, 547, 3643, 3689, 2622, 2782, 6370, 26753, 563, 3719, 538, 1082, 2665, 621, 814, 1044, 2451, 547, 2199, 2146, 2516, 547, 1331, 7820, 1453, 538, 2621, 563, 6624, 723, 8214, 1194, 519, 4161, 609, 882, 880, 267, 9544, 1402, 335, 625, 267, 2870, 3774, 1148, 267, 1603, 6965, 267, 15388, 519, 4408, 540, 519, 2112, 18189, 543, 865, 593, 563, 4517, 519, 834, 9404, 1619, 3354, 257, 540, 513, 4605, 1433, 666, 581, 519, 27513, 585, 519, 2238, 269, 3502, 1152, 1281, 519, 2239, 1106, 1020, 606, 6568, 2599, 602, 6087, 1453, 547, 4497, 609, 602, 1974, 267, 855, 267, 2059, 609, 519, 16033, 725, 267, 621, 2488, 519, 4316, 547, 20741, 513, 2648, 540, 1686, 607, 1134, 607, 606, 4316, 547, 6536, 17685, 8590, 1620, 543, 7794, 13218, 540, 10892, 563, 4131, 781, 798, 811, 676, 2870, 3084, 7341, 547, 948, 1762, 1453, 2671, 538, 519, 16033, 725, 269, 2991, 782, 267, 741, 14182, 729, 17956, 676, 741, 606, 806, 1562, 945, 5795, 741, 2221, 269, 0, 3528, 281, 2826, 2284, 7813, 657, 454, 1692, 1281, 621, 960, 888, 2005, 1185, 513, 4496, 7406, 602, 729, 4988, 538, 513, 2960, 269, 10738, 519, 2960, 267, 2789, 3154, 11435, 4904, 609, 7250, 1223, 581, 1336, 269, 769, 1840, 267, 513, 575, 1180, 7637, 729, 7923, 547, 519, 5377, 602, 24428, 12284, 543, 15915, 269, 898, 729, 13324, 676, 1896, 9817, 602, 941, 7923, 547, 519, 7406, 543, 547, 519, 575, 1180, 7637, 269, 634, 18410, 653, 601, 514, 729, 5827, 540, 10760, 538, 1022, 4287, 563, 24078, 621, 6707, 1031, 888, 5591, 267, 621, 729, 7925, 547, 2666, 3595, 282, 1896, 941, 10032, 538, 519, 2112, 269, 769, 1840, 267, 922, 1374, 1185, 20924, 269, 634, 13130, 29118, 9568, 568, 513, 1390, 1383, 540, 713, 269, 634, 13130, 29118, 729, 513, 2186, 540, 2011, 6928, 602, 1011, 10757, 543, 7166, 513, 1297, 540, 1004, 269, 4706, 1166, 30100, 2960, 5916, 609, 1166, 30100, 3154, 729, 513, 11600, 585, 9568, 269, 1677, 713, 1554, 18864, 6487, 4010, 1018, 3361, 922, 27757, 855, 972, 616, 1082, 6436, 269, 1452, 6436, 2039, 689, 513, 1769, 2287, 10880, 547, 513, 11979, 8710, 269, 0, 30262, 1168, 762, 1648, 5823, 547, 1711, 476, 20065, 267, 1822, 6009, 676, 476, 1708, 273, 454, 19328, 5889, 23717, 338, 3395, 7791, 1648, 5823, 568, 2693, 547, 5352, 811, 982, 476, 20065, 267, 1822, 1007, 6009, 936, 519, 1985, 2947, 1296, 998, 476, 1708, 273, 264, 2870, 3255, 547, 1489, 5631, 519, 2197, 5889, 23717, 338, 6917, 4057, 676, 5356, 606, 4244, 547, 7449, 14571, 8105, 267, 2687, 547, 2475, 2861, 2518, 1382, 13539, 563, 19328, 5889, 23717, 338, 7791, 1648, 5823, 568, 4397, 547, 5352, 513, 1390, 1297, 540, 6009, 538, 1985, 2947, 1296, 269, 634, 2229, 5889, 23717, 338, 2973, 1648, 7341, 616, 20993, 519, 2208, 538, 3127, 5889, 23717, 338, 1648, 5823, 563, 763, 1648, 5823, 814, 2141, 2813, 2527, 7694, 3255, 269, 634, 7341, 676, 519, 2229, 540, 3127, 616, 2966, 547, 2232, 6710, 538, 6917, 2950, 269, 634, 11931, 26038, 267, 3782, 2640, 543, 5578, 20671, 3255, 585, 5667, 330, 2683, 543, 10859, 1606, 330, 2683, 4600, 666, 3362, 581, 2813, 609, 519, 7835, 538, 7791, 1648, 5823, 563, 13328, 12754, 4659, 630, 310, 6020, 264, 814, 3370, 513, 1867, 11331, 12882, 11366, 391, 506, 4692, 7791, 1648, 6009, 948, 2569, 6710, 538, 3127, 286, 5889, 23717, 269, 634, 1867, 6212, 593, 875, 3255, 538, 519, 7791, 1648, 5823, 666, 1489, 3127, 5889, 23717, 338, 6917, 4057, 269, 22798, 3127, 799, 568, 8185, 8200, 593, 519, 6683, 666, 3362, 1711, 3255, 585, 2933, 609, 7791, 1648, 563, 289, 9618, 987, 808, 2967, 571, 329, 267, 519, 8689, 540, 654, 6020, 5889, 23717, 338, 1648, 1982, 1767, 267, 12882, 11366, 385, 497, 20360, 543, 3859, 2208, 666, 581, 513, 3094, 2914, 514, 4316, 585, 3127, 267, 4543, 519, 2197, 5150, 513, 2973, 1648, 2104, 1247, 21365, 6710, 269, 1809, 8259, 3375, 24237, 957 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 5201, 538, 519, 476, 866, 628, 2540, 9927, 519, 1259, 649, 2661, 543, 960, 269, 898, 1500, 621, 2009, 547, 1379, 513, 2647, 2039, 540, 4066, 267, 1519, 8654, 267, 14233, 267, 543, 12227, 563, 275, 269, 634, 9252, 2599, 281, 634, 9252, 2599, 267, 2919, 538, 519, 476, 1240, 628, 2540, 267, 19117, 6283, 543, 5129, 513, 1883, 1909, 538, 519, 11633, 7169, 269, 898, 1500, 621, 2009, 547, 1379, 9635, 543, 21525, 582, 1161, 267, 799, 7494, 9450, 519, 3914, 540, 6283, 5121, 563, 276, 269, 634, 2780, 281, 634, 1646, 540, 519, 2780, 538, 519, 476, 736, 628, 2540, 814, 1185, 513, 5458, 1764, 593, 3592, 1169, 2460, 540, 2413, 1272, 269, 898, 814, 19117, 2792, 267, 9913, 267, 1870, 267, 543, 1082, 824, 2127, 563, 2467, 616, 1082, 824, 18563, 602, 1223, 581, 2808, 1851, 519, 6574, 540, 782, 942, 267, 4470, 593, 519, 7355, 1031, 547, 9794, 873, 269, 1452, 616, 1175, 513, 1906, 1806, 540, 18563, 602, 723, 1185, 513, 1713, 1764, 593, 1480, 2486, 269, 0, 3891, 568, 2808, 835, 540, 519, 1034, 7986, 543, 4583, 6259, 15023, 269, 769, 782, 1010, 3871, 267, 646, 729, 513, 1390, 10564, 267, 543, 646, 729, 14220, 267, 9237, 267, 543, 513, 561, 3511, 269, 1261, 26916, 519, 2379, 806, 543, 4843, 4190, 6965, 609, 7326, 563, 3891, 568, 26512, 620, 6874, 599, 344, 756, 620, 5336, 27175, 629, 6798, 267, 945, 10483, 519, 2506, 597, 540, 22176, 653, 334, 267, 968, 306, 320, 604, 620, 5937, 1177, 5055, 620, 6953, 600, 323, 8643, 892, 538, 1010, 11044, 1996, 519, 3338, 540, 519, 14564, 543, 26916, 1864, 538, 1010, 9954, 269, 3973, 646, 8678, 519, 2506, 597, 540, 5527, 267, 968, 298, 2378, 584, 620, 16927, 16223, 3333, 21355, 892, 543, 849, 26916, 1864, 609, 1390, 9954, 563, 8601, 1018, 729, 1634, 827, 1010, 10100, 267, 799, 729, 14754, 676, 519, 14763, 267, 621, 729, 1767, 602, 1325, 5336, 27175, 629, 6798, 729, 513, 3765, 518, 543, 513, 24158, 540, 2724, 267, 945, 2760, 12483, 540, 10655, 621, 267, 543, 5310, 1010, 909, 32523, 814, 1945, 547, 798, 609, 713, 4390, 269, 1261, 4718, 1004, 18245, 519, 3638, 1256, 952, 646, 1705, 711, 1205, 4376, 689, 1010, 2724, 269, 1261, 5128, 6645, 513, 1650, 827, 1010, 6107, 281, 646, 20476, 7134, 609, 513, 22673, 827, 513, 1216, 28447, 267, 543, 519, 22673, 4280, 585, 513, 2462, 3902, 269, 3973, 267, 952, 513, 1134, 3562, 28273, 812, 2501, 4464, 267, 519, 22673, 1159, 3796, 693, 1864, 543, 23619, 1864, 519, 1216, 28447, 693, 513, 2539, 3902, 269, 1325, 5336, 27175, 629, 6798, 1767, 602, 646, 6785, 689, 602, 1554, 602, 2724, 26549, 922, 8227, 563, 2704, 5336, 27175, 629, 6798, 5206, 9954, 827, 17166, 325, 620, 5937, 1177, 5055, 543, 4330, 1010, 11044, 1996, 519, 14564, 538, 606, 4977, 6609, 267, 607, 646, 3081, 693, 519, 4098, 540, 519, 6648, 912, 302, 11017, 542, 1354, 519, 10100, 540, 519, 12703, 568, 519, 1101, 267, 543, 621, 568, 519, 2034, 1747, 454, 2252, 789, 2743, 585, 513, 1863, 9997, 267, 621, 10301, 689, 519, 15627, 547, 1169, 1747, 563, 1103, 713, 6648, 267, 1325, 5336, 27175, 629, 6798, 19267, 513, 1950, 855, 5863, 4605, 267, 543, 6257, 630, 1492, 4478, 5790, 264, 609, 519, 7980, 540, 17166, 325, 620, 5937, 1177, 5055, 607, 789, 3444, 519, 1488, 338, 19063, 5211, 267, 799, 568, 835, 540, 519, 29815, 2456, 540, 519, 661, 25045, 6233, 543, 568, 4092, 2221, 538, 11894, 543, 789, 1289, 621, 519, 16334, 2784, 5211, 281, 634, 7452, 568, 5394, 543, 6227, 519, 4064, 267, 607, 519, 9640, 798, 711, 1294, 609, 741, 4064, 267, 855, 2864, 609, 741, 10772, 912, 1103, 513, 15624, 4171, 7452, 519, 4064, 3382, 267, 621, 568, 607, 952, 789, 1294, 609, 519, 10772, 454, 763, 9640, 18084, 519, 1488, 338, 19063, 5211, 676, 10977, 267, 543, 519, 1216, 6603, 519, 8514, 753, 540, 519, 29843, 543, 3262, 873, 593, 519, 2627, 540, 519, 5757, 912, 29128, 789, 18084, 513, 2220, 11691, 1004, 267, 10825, 519, 8514, 753, 540, 519, 7504, 5443, 563, 1103, 1010, 17192, 540, 17166, 325, 620, 5937, 1177, 5055, 267, 620, 5336, 27175, 629, 6798, 3081, 912, 302, 646, 945, 19754, 609, 1010, 18156, 945, 1197, 646, 6499, 267, 594, 2968, 519, 835, 945, 7166, 596, 609, 11587, 454, 2252, 594, 1294, 596, 3636, 1510, 596, 267, 1250, 22401, 267, 543, 952, 594, 17192, 596, 267, 1250, 11469, 3587, 3636, 538, 596, 563, 2026, 646, 729, 9299, 2358, 1864, 267, 1325, 5336, 27175, 629, 6798, 729, 29412, 547, 934, 2224, 15223, 604, 620, 5937, 1177, 5055, 912, 302, 519, 1034, 1175, 540, 1004, 267, 4849, 538, 1250, 4308, 902, 267, 972, 568, 1543, 542, 538, 596, 267, 543, 596, 616, 519, 10779, 776, 543, 519, 818, 321, 3438, 454, 763, 11018, 540, 1346, 945, 8678, 938, 14643, 786, 917, 602, 594, 993, 519, 1655, 1268, 547, 3343, 454, 296, 993, 519, 835, 945, 6743, 693, 1250, 3332, 9420, 543, 4862, 1250, 1913, 18555, 454, 4517, 621, 568, 29412, 693, 602, 942, 543, 538, 1169, 942, 267, 602, 519, 10564, 9299, 2478, 5128, 538, 519, 4527, 540, 519, 19036, 269, 1325, 5336, 27175, 629, 6798, 1705, 711, 7340, 5128, 538, 1169, 6648, 563, 10190, 620, 5336, 27175, 629, 6798, 9390, 539, 22176, 653, 334, 543, 922, 900, 597, 543, 8678, 519, 900, 597, 540, 5527, 267, 6682, 874, 528, 269, 1656, 17192, 1864, 609, 1390, 9954, 267, 1256, 952, 646, 1281, 711, 723, 2648, 543, 2463, 269, 1261, 729, 6067, 9037, 267, 855, 646, 7283, 513, 10564, 563, 763, 1158, 8593, 593, 1325, 5336, 27175, 629, 6798, 267, 543, 646, 1336, 5128, 538, 30111, 267, 4171, 1893, 646, 1705, 711, 917, 267, 543, 646, 1767, 543, 2040, 4364, 909, 912, 3719, 519, 6259, 7911, 814, 513, 9490, 3068, 267, 1688, 267, 543, 11469, 563, 2704, 5336, 27175, 629, 6798, 568, 4330, 607, 513, 1390, 10564, 538, 782, 1010, 3871, 269, 1261, 729, 513, 10564, 1247, 646, 729, 25442, 543, 14220, 267, 543, 646, 729, 513, 10564, 1247, 646, 729, 513, 561, 3511, 543, 861, 322, 2684, 656, 563, 302, 1250, 1079, 15274, 267, 568, 519, 9174, 538, 707, 14296, 267, 610, 568, 621, 538, 707, 14296, 4160, 543, 30627, 888, 296, 993, 513, 4224, 269, 1548, 568, 9553, 286, 594, 993, 711, 6410, 676, 713, 14834, 600, 610, 676, 891, 669, 1218, 0, 18933, 3424, 1280, 667, 27186, 630, 1001, 276, 994, 1103, 4873, 540, 476, 1001, 275, 267, 835, 540, 519, 8711, 540, 11197, 779, 2622, 4204, 3763, 619, 10985, 630, 310, 310, 17584, 264, 729, 519, 23318, 2443, 513, 9983, 547, 1082, 28752, 267, 1519, 519, 1617, 6421, 540, 9367, 8384, 519, 7044, 1472, 519, 1158, 2443, 540, 519, 1646, 540, 513, 1007, 1893, 6322, 693, 9367, 547, 946, 609, 25515, 543, 13013, 2473, 3457, 269, 595, 6817, 27997, 267, 621, 729, 4843, 607, 519, 1893, 540, 519, 2104, 585, 11197, 779, 9367, 267, 855, 621, 729, 1500, 1360, 2312, 602, 621, 1131, 28111, 609, 519, 4540, 2596, 1646, 1893, 2443, 20638, 4211, 269, 630, 1103, 10503, 519, 2081, 27997, 543, 20638, 4211, 1131, 2170, 267, 11197, 14578, 1031, 519, 8360, 968, 332, 1460, 543, 6474, 892, 2443, 711, 1152, 538, 519, 14245, 693, 13431, 17584, 267, 855, 538, 824, 28503, 607, 1134, 8094, 13914, 827, 602, 4266, 1765, 27997, 814, 1152, 1044, 1472, 2094, 4873, 476, 1001, 275, 281, 1284, 2461, 782, 14987, 609, 27997, 563, 10666, 901, 3883, 454, 18933, 3424, 1280, 667, 27186, 568, 513, 19444, 779, 4367, 547, 11197, 779, 1007, 5752, 1893, 269, 634, 1433, 4991, 596, 3323, 3384, 609, 27997, 269, 1411, 3580, 3533, 1294, 875, 547, 1711, 3785, 538, 27997, 689, 519, 3710, 2987, 17074, 602, 616, 851, 540, 519, 2473, 13892, 1646, 1907, 269, 3245, 972, 267, 596, 5490, 883, 519, 2934, 540, 519, 1893, 267, 689, 519, 2596, 547, 519, 4359, 269, 2368, 540, 891, 2934, 616, 2189, 547, 27997, 6466, 824, 267, 7654, 811, 5432, 2934, 941, 15110, 689, 824, 5752, 4654, 563, 6524, 649, 1205, 3323, 609, 27997, 267, 2015, 891, 1079, 2798, 912, 6440, 11197, 814, 2944, 713, 1354, 267, 543, 789, 917, 875, 547, 798, 621, 269, 2201, 1312, 519, 8800, 543, 3301, 5011, 267, 11197, 814, 6707, 7307, 13289, 547, 1007, 4066, 269, 3763, 619, 723, 3006, 1750, 1229, 267, 3006, 1630, 334, 539, 267, 543, 1256, 3006, 711, 1256, 8068, 1454, 3017, 267, 855, 20866, 267, 11197, 814, 7307, 547, 3142, 873, 2059, 547, 513, 1007, 2029, 602, 2306, 741, 2729, 4443, 543, 10607, 1919, 585, 3755, 563, 6440, 634, 4654, 616, 1152, 851, 540, 519, 1646, 1604, 585, 11197, 269, 1879, 596, 1020, 8924, 585, 25515, 610, 13013, 2473, 267, 596, 946, 519, 2473, 13892, 1646, 1907, 630, 23855, 1227, 606, 21091, 4886, 5113, 267, 610, 9517, 292, 1070, 519, 23081, 10394, 610, 23081, 10394, 25291, 10850, 267, 543, 513, 5752, 1893, 2443, 2901, 20638, 4211, 610, 27997, 269, 1548, 1114, 28179, 519, 25515, 543, 13013, 2473, 1646, 1604, 689, 1034, 1866, 568, 602, 519, 1893, 568, 1152, 835, 21017, 540, 519, 2949, 1604, 267, 607, 1134, 607, 519, 1249, 602, 513, 2582, 2754, 630, 7343, 548, 264, 8060, 782, 540, 602, 1604, 563, 3519, 6761, 13242, 538, 901, 3883, 454, 290, 665, 10394, 568, 519, 5943, 596, 946, 585, 3384, 5839, 8924, 282, 23081, 10394, 25291, 568, 519, 5943, 585, 25515, 8924, 269, 5637, 723, 513, 1455, 6561, 543, 1082, 2147, 5049, 269, 769, 2489, 267, 5049, 602, 1376, 609, 22085, 616, 23081, 10394, 5049, 267, 543, 5049, 602, 1376, 609, 30892, 616, 23081, 10394, 25291, 5049, 269, 3509, 23081, 10394, 22085, 5035, 525, 616, 849, 1031, 538, 23081, 10394, 25291, 267, 865, 596, 3580, 1265, 1312, 2010, 540, 5049, 538, 1082, 540, 707, 8924, 543, 538, 519, 3732, 3009, 543, 17074, 563, 24927, 1806, 538, 713, 1433, 2408, 538, 513, 1395, 2214, 3166, 13944, 865, 602, 789, 1796, 856, 513, 3787, 1732, 269, 2368, 1875, 1606, 9321, 1314, 3334, 2408, 538, 606, 24495, 545, 1242, 1395, 2214, 3166, 13944, 269, 630, 13295, 267, 4365, 30812, 1431, 1522, 581, 513, 4756, 267, 855, 4756, 1223, 581, 1022, 4756, 596, 1616, 547, 946, 8094, 12024, 1082, 4654, 267, 1519, 20638, 4211, 267, 27997, 568, 2013, 25259, 267, 865, 5225, 4283, 519, 3009, 602, 5526, 538, 713, 1433, 4010, 607, 621, 5526, 538, 519, 1257, 269, 594, 849, 946, 519, 3044, 23081, 10394, 20803, 14908, 2443, 971, 607, 3854, 1944, 1362, 4408, 543, 6028, 519, 4408, 540, 2409, 543, 3236, 4632, 27608, 563, 9616, 602, 782, 15745, 338, 538, 713, 1433, 2408, 538, 513, 1395, 2214, 3166, 13944, 607, 1134, 269, 769, 13076, 609, 1455, 6165, 267, 1034, 15745, 338, 538, 713, 1433, 1331, 519, 1016, 3256, 664, 630, 7945, 607, 8940, 264, 693, 519, 4098, 540, 1082, 15745, 338, 4849, 585, 9607, 602, 1810, 1406, 2154, 602, 5057, 630, 7945, 607, 17354, 269, 20625, 2593, 1916, 2252, 596, 2811, 2479, 7334, 827, 4376, 538, 519, 3009, 267, 596, 666, 2141, 1413, 693, 519, 2707, 3009, 593, 1250, 3896, 693, 8940, 8542, 2180, 12248, 787, 4621, 738, 532, 2593, 610, 519, 1280, 667, 27186, 3896, 693, 8940, 6155, 27186, 2593, 269, 3245, 942, 547, 942, 267, 594, 3580, 1683, 10311, 585, 519, 3009, 972, 543, 2022, 824, 1919, 596, 1522, 1265, 3730, 563, 1607, 1433, 2306, 1906, 10054, 827, 3988, 1317, 27997, 23501, 2097, 689, 1082, 10080, 543, 609, 8795, 5232, 540, 15334, 538, 1585, 4654, 269, 1306, 547, 519, 2104, 267, 2705, 267, 972, 779, 835, 2241, 13429, 281, 1411, 1616, 547, 1711, 8924, 1759, 593, 519, 23081, 10394, 543, 23081, 10394, 25291, 10850, 267, 543, 596, 1616, 547, 798, 621, 538, 519, 14724, 1259, 2009, 563, 293, 9231, 569, 267, 1287, 267, 713, 1433, 568, 6322, 693, 23081, 10394, 543, 23081, 10394, 25291, 9367, 693, 782, 5933, 540, 6791, 267, 689, 1346, 945, 4076, 2919, 513, 21318, 540, 2561, 15188, 8924, 547, 1346, 945, 723, 1152, 2219, 827, 3384, 606, 813, 1547, 1547, 1547, 14693, 563, 296, 849, 8263, 596, 723, 930, 5839, 610, 25515, 1995, 269, 1403, 596, 723, 2760, 1031, 513, 5839, 610, 25515, 3926, 267, 596, 949, 1265, 621, 2182, 547, 1246, 713, 1433, 269, 594, 2491, 4359, 2930, 2474, 607, 789, 8451, 267, 855, 1250, 13429, 568, 602, 596, 917, 267, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 855, 972, 616, 930, 5383, 543, 11393, 540, 585, 2792, 543, 1344, 4687, 5301, 269, 1717, 972, 616, 930, 5383, 543, 11393, 540, 2029, 630, 23955, 543, 11393, 264, 1557, 16392, 5301, 543, 1382, 269, 22436, 543, 11393, 540, 2185, 5967, 2553, 538, 12007, 1382, 519, 5383, 543, 11393, 540, 1344, 2029, 563, 13625, 593, 5383, 543, 11393, 540, 2029, 538, 519, 1569, 519, 4950, 547, 1205, 5763, 540, 1344, 5383, 267, 1299, 11393, 1557, 269, 3163, 543, 2029, 1557, 1107, 5383, 543, 11393, 540, 6639, 8441, 2029, 814, 1044, 3356, 532, 693, 606, 27314, 569, 4028, 11733, 267, 543, 621, 269, 5769, 1557, 476, 272, 630, 1911, 1913, 264, 4950, 568, 519, 8798, 540, 2413, 543, 1164, 2029, 2257, 621, 2488, 721, 5863, 9744, 540, 10478, 1022, 1344, 689, 1022, 6185, 5877, 454, 1001, 279, 269, 4065, 6538, 269, 0, 5746, 12613, 312, 307, 22959, 9742, 518, 774, 758, 9926, 850, 715, 323, 327, 548, 5055, 630, 3847, 267, 543, 16027, 17305, 23158, 932, 10098, 9366, 540, 23688, 32634, 8664, 538, 631, 1662, 4689, 663, 5101, 11662, 267, 7114, 519, 2887, 7952, 11988, 538, 932, 10098, 9366, 779, 2361, 538, 5988, 269, 932, 10098, 9366, 5555, 4503, 3592, 3368, 540, 1200, 3003, 22959, 7693, 269, 17421, 281, 808, 269, 590, 3554, 778, 4275, 270, 5746, 12613, 312, 307, 563, 22102, 14516, 6705, 538, 25472, 779, 6917, 2127, 723, 6738, 22959, 585, 1296, 1312, 607, 513, 20013, 543, 607, 513, 4199, 547, 5818, 741, 4346, 563, 4913, 267, 25472, 534, 6705, 7048, 2392, 7631, 2299, 593, 4764, 1922, 539, 22959, 8105, 267, 1818, 1142, 9544, 4005, 513, 13708, 1076, 609, 2470, 607, 4057, 11811, 267, 10860, 543, 3676, 7683, 21279, 713, 20013, 7693, 543, 16027, 24454, 563, 2026, 1034, 1507, 6868, 6836, 547, 9156, 689, 519, 4432, 15281, 25123, 14001, 10980, 538, 7013, 4000, 267, 7133, 476, 2412, 2929, 1004, 1282, 519, 476, 1001, 276, 268, 1001, 277, 8105, 4005, 267, 2687, 547, 519, 5253, 543, 11982, 9257, 630, 11902, 302, 264, 540, 519, 2136, 8315, 267, 4986, 1223, 723, 5423, 873, 585, 519, 6727, 12289, 540, 519, 2887, 7952, 11988, 538, 5181, 476, 1001, 277, 602, 3361, 26464, 3441, 593, 741, 22959, 7693, 563, 25369, 26912, 1637, 540, 22959, 10351, 680, 11047, 693, 519, 10878, 643, 26474, 16066, 301, 9584, 3135, 267, 15057, 269, 17421, 281, 645, 15030, 11867, 270, 5746, 12613, 312, 307, 454, 763, 1007, 22959, 24037, 27394, 15727, 630, 7876, 301, 264, 2228, 22045, 2488, 909, 3562, 15082, 1344, 543, 13178, 2645, 547, 948, 3173, 1852, 543, 3247, 519, 3262, 540, 519, 14686, 2068, 563, 7876, 301, 729, 1101, 4080, 538, 15057, 538, 476, 1001, 272, 543, 814, 2094, 1287, 1044, 4080, 538, 1896, 2477, 538, 9456, 4000, 267, 2523, 519, 14891, 6243, 540, 519, 22096, 267, 18629, 267, 15057, 267, 32678, 267, 25157, 543, 24063, 269, 634, 2068, 19754, 2371, 1354, 789, 666, 1332, 267, 543, 519, 13596, 616, 10299, 676, 7786, 610, 13572, 6079, 269, 5395, 1190, 3441, 547, 519, 3148, 779, 22959, 2504, 689, 16066, 301, 814, 12936, 7622, 1426, 3354, 563, 14503, 1662, 3724, 281, 769, 2038, 476, 1001, 276, 267, 15057, 779, 2817, 7054, 3419, 566, 8274, 630, 25712, 289, 264, 12349, 2279, 20393, 12522, 547, 948, 4308, 609, 513, 29788, 28845, 12526, 538, 22959, 267, 513, 32252, 3512, 3413, 997, 1154, 930, 540, 922, 12555, 14565, 269, 1280, 1383, 267, 538, 1034, 1296, 267, 519, 6167, 779, 2622, 5253, 19510, 729, 8572, 547, 6718, 22959, 689, 519, 10034, 540, 4591, 320, 543, 645, 3120, 538, 15057, 19962, 547, 7050, 513, 29788, 28845, 269, 16258, 3453, 547, 476, 1001, 278, 281, 1548, 941, 519, 2164, 540, 713, 22078, 289, 6718, 1287, 267, 543, 2221, 267, 1079, 1296, 593, 286, 3367, 593, 2336, 2005, 779, 25738, 538, 519, 2842, 269, 7427, 8861, 932, 7676, 340, 779, 2048, 4812, 532, 685, 9416, 269, 6423, 519, 6263, 1179, 802, 538, 519, 12269, 593, 519, 2451, 286, 2334, 779, 2279, 20393, 12522, 26395, 4905, 799, 8861, 729, 31076, 693, 8895, 3570, 11860, 592, 2728, 267, 8109, 15057, 267, 538, 5147, 476, 1001, 277, 269, 1323, 782, 5991, 1823, 1587, 267, 2279, 20393, 12522, 9846, 6971, 513, 29788, 28845, 676, 1063, 476, 3199, 543, 476, 4200, 260, 693, 7556, 543, 538, 4859, 269, 630, 20124, 281, 772, 23688, 4157, 340, 270, 2862, 14011, 994, 288, 1007, 3099, 538, 519, 2344, 1590, 723, 1713, 1871, 547, 519, 16027, 267, 971, 607, 2362, 10892, 547, 17613, 267, 610, 3773, 9422, 1871, 269, 17421, 281, 918, 269, 918, 2727, 523, 344, 328, 270, 5746, 12613, 312, 307, 454, 2690, 936, 476, 2004, 1296, 267, 519, 4139, 8575, 1125, 543, 5453, 520, 26094, 4741, 630, 5746, 12613, 312, 307, 1070, 1291, 4099, 540, 519, 595, 22835, 2752, 3194, 1982, 593, 8575, 1125, 630, 7246, 22003, 292, 1070, 814, 3366, 519, 1382, 543, 1646, 540, 2298, 267, 4824, 22959, 6079, 267, 2966, 547, 948, 6705, 11574, 519, 2360, 540, 2916, 1689, 1247, 5355, 24454, 563, 9336, 1007, 3099, 5950, 568, 9141, 676, 16027, 2115, 543, 7375, 267, 609, 14909, 7592, 971, 607, 11641, 543, 2068, 4187, 267, 10980, 543, 3002, 10892, 607, 1134, 607, 1216, 543, 8770, 946, 4398, 269, 2060, 4824, 22959, 6079, 267, 6705, 711, 1152, 4324, 689, 2799, 2566, 10892, 267, 789, 849, 2972, 2362, 11729, 267, 2799, 9422, 1871, 543, 4824, 4747, 689, 10286, 6455, 269, 0, 23087, 281, 2696, 5795, 519, 476, 1015, 4971, 906, 607, 513, 26315, 10516, 547, 1010, 1004, 543, 646, 6499, 873, 2854, 593, 938, 12271, 563, 1103, 476, 4198, 276, 267, 634, 2605, 11189, 11352, 540, 661, 24346, 5116, 20375, 540, 519, 14210, 16710, 906, 538, 1857, 11614, 267, 693, 3506, 267, 543, 538, 4395, 540, 18513, 5656, 1472, 519, 2197, 607, 13344, 547, 8956, 2043, 543, 2027, 2621, 269, 634, 1101, 835, 729, 24603, 538, 6660, 342, 879, 27365, 267, 12598, 1421, 538, 513, 1857, 2680, 5473, 519, 8689, 540, 519, 7260, 14210, 16710, 906, 543, 17076, 962, 592, 645, 1066, 1676, 267, 945, 5129, 519, 31279, 538, 519, 4670, 563, 7712, 1287, 267, 972, 814, 1044, 513, 2603, 540, 4901, 827, 891, 20375, 269, 769, 5480, 7741, 782, 2066, 519, 772, 2529, 1421, 1857, 10525, 540, 519, 476, 1015, 4971, 906, 723, 2097, 883, 2243, 269, 898, 568, 6059, 602, 972, 616, 930, 476, 275, 267, 1822, 971, 10525, 538, 519, 772, 2529, 269, 543, 811, 543, 811, 540, 873, 616, 4947, 896, 22987, 563, 1103, 476, 1220, 273, 267, 538, 4639, 5742, 267, 11882, 267, 513, 5313, 5480, 12199, 602, 476, 274, 20356, 30041, 6149, 14342, 18071, 519, 14210, 16710, 906, 1058, 581, 6569, 689, 519, 10315, 779, 2185, 1857, 3506, 1317, 789, 2408, 547, 581, 513, 2229, 23596, 618, 540, 4984, 269, 634, 14342, 941, 24603, 676, 519, 2199, 14012, 658, 7681, 538, 476, 1960, 278, 269, 634, 1153, 4604, 20366, 547, 9029, 563, 763, 7440, 593, 1312, 5011, 616, 4277, 269, 2201, 519, 835, 1688, 267, 930, 10271, 3100, 547, 20912, 602, 891, 4971, 906, 616, 3909, 269, 1358, 1289, 873, 7215, 540, 938, 2528, 610, 851, 540, 938, 2245, 269, 2201, 519, 824, 1688, 267, 930, 19473, 1235, 2161, 789, 616, 3909, 543, 602, 789, 3277, 547, 519, 7225, 2801, 334, 268, 22146, 2696, 563, 4322, 7440, 7618, 803, 540, 519, 942, 513, 812, 3893, 513, 11863, 547, 1930, 513, 512, 11232, 333, 538, 513, 1507, 4884, 269, 634, 2818, 540, 513, 2199, 5939, 941, 9244, 10353, 267, 865, 789, 3459, 547, 7281, 602, 2696, 1131, 26544, 269, 589, 1906, 2395, 1354, 519, 512, 11232, 333, 729, 16516, 547, 1930, 267, 17500, 5734, 621, 543, 621, 14616, 547, 519, 2666, 269, 634, 1004, 540, 519, 5939, 941, 14281, 855, 20938, 267, 2394, 789, 4607, 5469, 602, 519, 512, 11232, 333, 8227, 729, 647, 532, 873, 269, 1261, 1767, 741, 19001, 941, 3743, 585, 519, 8781, 540, 519, 2679, 269, 1358, 17792, 519, 5279, 269, 2311, 519, 3932, 540, 519, 16861, 6217, 267, 519, 9794, 6376, 539, 267, 834, 4263, 713, 1448, 594, 1810, 1406, 917, 1018, 1250, 3375, 786, 581, 267, 855, 621, 4667, 602, 519, 512, 11232, 333, 8227, 11099, 538, 519, 1379, 540, 11755, 543, 891, 5939, 1004, 1810, 1406, 1848, 263, 13126, 7164, 994, 2252, 596, 1185, 4280, 15584, 543, 519, 1004, 540, 5840, 827, 519, 476, 1015, 4971, 906, 267, 741, 2626, 1131, 723, 1044, 11613, 2312, 269, 1452, 476, 1015, 1913, 267, 607, 519, 7642, 1572, 873, 267, 941, 519, 1913, 540, 513, 13411, 2696, 267, 2016, 547, 3391, 1010, 1004, 267, 547, 948, 873, 1174, 1010, 1544, 267, 1010, 1379, 543, 3483, 563, 7628, 891, 4374, 3056, 909, 547, 8285, 267, 649, 616, 2519, 593, 519, 1433, 540, 31519, 269, 2201, 519, 1101, 10732, 649, 2808, 2696, 779, 1544, 585, 1010, 1004, 269, 2755, 621, 7902, 547, 519, 12355, 10437, 538, 5527, 602, 2696, 1185, 16618, 873, 267, 649, 1451, 538, 519, 2038, 11271, 540, 31519, 630, 273, 281, 2190, 264, 602, 2696, 4862, 741, 9240, 22135, 543, 602, 2696, 15422, 1010, 26315, 269, 2696, 729, 711, 12008, 1282, 741, 15746, 282, 646, 1185, 513, 1544, 543, 646, 729, 2324, 621, 856, 267, 1175, 607, 646, 1705, 538, 942, 585, 519, 4332, 540, 4906, 563, 2171, 991, 547, 581, 18056, 602, 950, 519, 6989, 3947, 1259, 267, 519, 6821, 2887, 1524, 267, 543, 519, 8122, 23572, 538, 267, 602, 568, 711, 519, 1439, 269, 2696, 568, 2324, 538, 2081, 649, 1810, 1406, 1294, 610, 1174, 269, 1261, 814, 513, 1544, 269, 1261, 949, 1491, 513, 1279, 942, 547, 1020, 621, 267, 855, 646, 2760, 14543, 547, 11886, 621, 563, 8310, 10732, 649, 5059, 593, 2696, 779, 1379, 543, 649, 4718, 875, 2696, 9447, 1010, 1004, 689, 8474, 269, 1452, 941, 1004, 945, 1185, 1100, 13284, 1127, 540, 741, 1378, 269, 1358, 1185, 1100, 4108, 1522, 269, 1358, 1185, 1100, 2229, 269, 634, 6426, 2306, 2312, 602, 519, 1379, 540, 2696, 1305, 873, 1863, 269, 2696, 7479, 12184, 519, 943, 21198, 269, 2696, 25009, 873, 875, 547, 1205, 856, 269, 2696, 851, 539, 519, 7297, 602, 17808, 741, 2619, 563, 18661, 1568, 998, 1010, 1379, 269, 661, 874, 269, 274, 281, 736, 563, 2691, 649, 1224, 19279, 779, 2272, 540, 8285, 649, 1294, 875, 2696, 779, 1379, 13234, 269, 589, 4807, 1932, 2025, 547, 723, 1453, 2968, 9176, 269, 6307, 267, 513, 1762, 4807, 945, 1185, 1100, 1259, 540, 12946, 513, 1126, 267, 5795, 4332, 547, 4906, 269, 2696, 779, 1379, 729, 10423, 10876, 563, 6624, 540, 596, 666, 1140, 652, 547, 2696, 779, 1379, 693, 960, 538, 2081, 596, 4769, 1406, 2503, 269, 2696, 14281, 596, 538, 519, 1259, 646, 3177, 585, 596, 610, 646, 4705, 596, 269, 1656, 596, 2285, 7064, 547, 2696, 563, 30631, 1302, 267, 891, 12355, 1004, 1205, 547, 6778, 31291, 328, 267, 519, 7823, 1141, 15584, 1185, 2938, 519, 8781, 17382, 269, 1656, 972, 789, 4309, 519, 476, 1015, 4971, 906, 269, 630, 2750, 269, 476, 736, 1040, 1280, 1034, 540, 721, 267, 519, 2856, 540, 2348, 476, 1015, 12981, 547, 23491, 3085, 1406, 2285, 721, 513, 3636, 27967, 4743, 269, 9320, 649, 1294, 4031, 543, 12981, 607, 3652, 602, 6615, 938, 2623, 267, 1832, 721, 689, 2348, 1187, 543, 11981, 1272, 269, 1809, 1577, 803, 1294, 952, 594, 666, 7406, 713, 4605, 538, 513, 1114, 1259, 563, 4131, 779, 2253, 609, 513, 1650, 540, 15475, 269, 14597, 596, 991, 513, 1007, 8459, 543, 513, 3659, 540, 16523, 6035, 835, 540, 1010, 610, 1200, 338, 547, 596, 269, 0, 7197, 1004, 1205, 476, 3199, 2600, 540, 741, 3141, 4598, 538, 519, 1101, 476, 736, 1296, 540, 1272, 267, 5359, 3220, 269, 28788, 2284, 15049, 21032, 267, 513, 23171, 2160, 12963, 338, 543, 17172, 1108, 7548, 269, 4595, 3859, 12345, 2014, 693, 2547, 476, 3445, 2600, 540, 782, 2960, 11871, 267, 17172, 5505, 543, 12963, 2103, 723, 15841, 513, 5859, 547, 20882, 3237, 547, 3970, 741, 1453, 781, 4598, 547, 519, 3141, 563, 257, 14399, 1058, 581, 6026, 1434, 3141, 4027, 6208, 538, 519, 1482, 1259, 602, 602, 789, 616, 6026, 711, 547, 15179, 1093, 11143, 267, 711, 547, 2196, 538, 4395, 540, 606, 593, 5765, 1286, 543, 711, 547, 1404, 609, 13292, 2437, 519, 16164, 9435, 7690, 15156, 538, 513, 1007, 2156, 577, 675, 585, 3237, 563, 24679, 781, 1175, 899, 3450, 3214, 711, 547, 8673, 2437, 23216, 3220, 269, 15537, 15576 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 672, 1820, 630, 4944, 14515, 265, 8663, 529, 318, 4944, 14515, 1341, 536, 842, 836, 265, 8663, 529, 10734, 842, 836, 2020, 258, 16534, 621, 276, 256, 28914, 6921, 817, 23694, 630, 305, 904, 320, 994, 11133, 815, 703, 9272, 3488, 12133, 875, 1082, 9343, 2433, 1412, 11723, 1721, 18158, 538, 630, 9792, 263, 271, 267, 1003, 264, 2567, 13376, 1948, 13695, 1090, 573, 3097, 825, 585, 3046, 529, 318, 4944, 14515, 538, 2039, 263, 271, 267, 1003, 1790, 344, 1090, 573, 268, 272, 2187, 1038, 1820, 3488, 567, 22207, 1439, 8782, 30386, 825, 585, 3046, 529, 10734, 842, 836, 538, 2039, 263, 271, 267, 476, 273, 265, 6853, 1090, 573, 1341, 272, 2187, 1038, 1820, 3488, 2608, 22207, 1439, 8782, 30386, 825, 1820, 28361, 333, 10807, 8528, 6112, 18158, 538, 20328, 263, 9792, 263, 271, 267, 1003, 264, 2567, 3546, 1948, 516, 951, 539, 18158, 454, 825, 585, 3046, 529, 318, 4944, 14515, 538, 2039, 263, 271, 267, 1003, 1790, 344, 1090, 573, 268, 272, 2187, 1038, 1820, 3488, 567, 22207, 1439, 8782, 30386, 825, 585, 3046, 529, 10734, 842, 836, 538, 2039, 263, 271, 267, 476, 273, 265, 6853, 1090, 573, 1341, 272, 2187, 1038, 1820, 3488, 2608, 22207, 1439, 8782, 30386, 825, 1820, 28361, 333, 10807, 8528, 258, 9226, 476, 274, 1599, 912, 258, 567, 1635, 9949, 972, 568, 513, 1007, 1467, 1915, 813, 2105, 547, 519, 6221, 1373, 9102, 630, 754, 8782, 315, 333, 30670, 543, 1439, 284, 5257, 568, 1031, 547, 1118, 621, 9102, 593, 519, 1482, 1899, 563, 258, 567, 1656, 1820, 3890, 16493, 606, 8900, 1007, 1467, 267, 799, 568, 2556, 547, 1832, 593, 8228, 593, 519, 1985, 1899, 780, 258, 16534, 621, 276, 256, 28914, 6921, 817, 23694, 630, 305, 904, 320, 272, 994, 11133, 284, 703, 9272, 3488, 12133, 30141, 18158, 9343, 2433, 1412, 11723, 321, 842, 836, 815, 1412, 2608, 1412, 454, 4944, 14515, 815, 1412, 910, 1412, 692, 1721, 18158, 538, 2039, 263, 271, 267, 1003, 2567, 14030, 567, 1948, 516, 951, 539, 18158, 454, 825, 3046, 529, 10734, 842, 836, 815, 1003, 265, 273, 910, 630, 273, 265, 6853, 1090, 573, 264, 910, 476, 272, 454, 825, 3046, 529, 318, 4944, 14515, 815, 18158, 454, 825, 1820, 630, 4944, 14515, 265, 8663, 529, 318, 4944, 14515, 1341, 536, 842, 836, 265, 8663, 529, 10734, 842, 836, 2020, 1721, 18158, 538, 20328, 263, 9792, 263, 271, 267, 1003, 264, 2567, 4449, 25639, 1948, 18158, 454, 825, 3046, 529, 10734, 842, 836, 815, 1003, 265, 273, 910, 630, 273, 265, 6853, 1090, 573, 264, 910, 476, 272, 454, 825, 3046, 529, 318, 4944, 14515, 815, 18158, 454, 825, 1820, 630, 4944, 14515, 265, 8663, 529, 318, 4944, 14515, 1341, 536, 842, 836, 265, 8663, 529, 10734, 842, 836, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 528, 543, 3277, 547, 621, 607, 7064, 15130, 1554, 538, 8087, 10806, 269, 3399, 2542, 7064, 15130, 593, 555, 11787, 9059, 3529, 2777, 1433, 476, 2767, 593, 707, 2186, 548, 538, 896, 513, 8792, 269, 4746, 1634, 607, 22406, 555, 11787, 538, 519, 8087, 10806, 269, 4706, 3735, 713, 1032, 1317, 519, 476, 272, 560, 540, 519, 3923, 3323, 593, 513, 535, 27518, 865, 519, 1101, 555, 11787, 729, 476, 277, 2395, 883, 519, 3923, 563, 12552, 15130, 593, 555, 11787, 9059, 3529, 2777, 1433, 476, 2767, 2186, 548, 269, 21175, 1554, 568, 513, 3084, 9702, 9976, 538, 28492, 543, 519, 8087, 2829, 269, 2201, 713, 1554, 267, 519, 13039, 616, 21243, 609, 2472, 971, 607, 1753, 326, 3497, 2371, 267, 5613, 543, 5388, 547, 1397, 14696, 547, 519, 620, 332, 26663, 269, 898, 666, 849, 581, 513, 942, 540, 3028, 547, 1866, 538, 519, 2146, 269, 21175, 593, 555, 11787, 544, 628, 1455, 4295, 1433, 1353, 676, 269, 631, 6269, 1115, 9702, 20498, 593, 7064, 15130, 3781, 267, 555, 11787, 267, 18051, 269, 7734, 827, 7064, 15130, 1224, 16965, 2835, 585, 3237, 540, 269, 3509, 13171, 2103, 538, 519, 8087, 10806, 8661, 544, 16184, 344, 555, 11787, 593, 519, 555, 11787, 1354, 1434, 535, 27518, 269, 21175, 2489, 7005, 12139, 21099, 14643, 269, 4014, 922, 8129, 616, 3909, 267, 2221, 267, 7064, 15130, 568, 513, 7361, 16712, 9702, 563, 299, 611, 903, 1433, 267, 521, 23022, 795, 846, 6495, 554, 1446, 267, 5859, 539, 585, 513, 3084, 7064, 15130, 1554, 547, 269, 21175, 1554, 11812, 538, 8087, 10806, 7556, 13037, 607, 568, 2442, 569, 1634, 267, 568, 835, 540, 519, 9510, 15976, 538, 8087, 10806, 269, 661, 1885, 540, 7064, 15130, 593, 555, 11787, 676, 29827, 28831, 15259, 13871, 269, 4787, 903, 4754, 1676, 11503, 1055, 4832, 676, 13031, 519, 1655, 942, 547, 1433, 7064, 15130, 2951, 269, 1215, 1705, 7064, 15130, 1439, 909, 593, 519, 8772, 555, 11787, 269, 18270, 730, 593, 519, 8772, 555, 11787, 538, 562, 4912, 267, 519, 7819, 7064, 15130, 9702, 15244, 922, 8129, 547, 7556, 15976, 269, 634, 8087, 10806, 1223, 2503, 513, 5818, 538, 11564, 689, 519, 563, 10387, 23158, 3039, 29566, 5156, 602, 1352, 1185, 1336, 1200, 9997, 22940, 267, 519, 812, 1352, 729, 269, 18903, 3529, 2777, 1433, 851, 476, 2767, 7064, 15130, 593, 555, 11787, 1224, 676, 269, 18467, 547, 3669, 828, 622, 7064, 15130, 1554, 538, 8087, 10806, 269, 634, 721, 5605, 26513, 14753, 693, 519, 3028, 267, 2356, 12419, 513, 5048, 689, 519, 7022, 607, 1134, 269, 634, 9059, 3529, 2777, 568, 606, 7819, 3126, 540, 1126, 27231, 2835, 2854, 676, 7819, 2278, 269, 634, 1390, 7064, 15130, 585, 7064, 15130, 1554, 610, 585, 519, 10516, 540, 1426, 269, 21175, 1554, 568, 513, 3084, 9702, 9976, 5097, 538, 519, 8087, 2829, 543, 28492, 607, 513, 1554, 540, 4758, 7064, 585, 519, 26460, 540, 519, 7556, 543, 540, 519, 18631, 1032, 563, 2690, 519, 1804, 2338, 540, 1004, 945, 723, 2451, 519, 8087, 2829, 543, 1631, 1289, 519, 8087, 10806, 1753, 267, 610, 585, 1346, 945, 4755, 547, 581, 21409, 998, 267, 972, 616, 3875, 4025, 543, 28503, 2921, 593, 519, 2245, 540, 7064, 15130, 269, 898, 4667, 602, 1169, 3126, 7959, 519, 31112, 547, 798, 606, 3390, 267, 1433, 610, 12558, 585, 519, 2101, 14812, 269, 21175, 593, 555, 11787, 9059, 3529, 2777, 1433, 476, 2767, 19545, 269, 634, 1390, 7064, 15130, 585, 7064, 15130, 1554, 610, 585, 519, 269, 6875, 513, 7552, 1394, 547, 519, 1101, 9684, 15130, 609, 13544, 543, 3045, 773, 543, 519, 9059, 3529, 2777, 269, 2422, 2934, 899, 1433, 12201, 267, 4063, 2921, 543, 10223, 1247, 2542, 7064, 15130, 593, 555, 11787, 9059, 3529, 2777, 1433, 476, 2767, 563, 13911, 538, 3771, 5766, 622, 538, 519, 1657, 3406, 1592, 8087, 10806, 596, 1522, 849, 723, 547, 4945, 593, 8468, 1586, 7064, 15130, 568, 711, 9976, 538, 519, 20410, 4849, 676, 5087, 22988, 2713, 1934, 269, 634, 8087, 2829, 568, 711, 519, 1152, 1007, 1158, 4182, 547, 8661, 7064, 15130, 269, 21175, 593, 555, 11787, 676, 29827, 28831, 15259, 13871, 1434, 1348, 338, 269, 4107, 540, 1018, 649, 917, 814, 1044, 29742, 539, 689, 1585, 7819, 26725, 2982, 543, 6158, 609, 22988, 593, 9702, 269, 589, 1433, 1353, 1759, 593, 519, 1433, 7064, 15130, 593, 555, 11787, 676, 29827, 28831, 15259, 13871, 269, 1358, 1705, 2196, 606, 7005, 4528, 540, 519, 2835, 799, 616, 7819, 1759, 585, 519, 1101, 1906, 4352, 5555, 789, 4682, 1394, 547, 513, 1455, 3126, 269, 21175, 593, 555, 11787, 9059, 3529, 2777, 1433, 476, 2767, 2186, 548, 7160, 676, 15259, 13871, 267, 29827, 28831, 267, 2892, 15294, 665, 8619, 269, 21175, 568, 4371, 538, 7178, 19052, 2197, 540, 5391, 4997, 593, 519, 1101, 555, 11787, 540, 562, 4912, 563, 2690, 1034, 22988, 543, 666, 21808, 267, 621, 568, 513, 1554, 585, 4947, 1927, 609, 1920, 543, 2828, 547, 2671, 513, 269, 2136, 10806, 14812, 538, 476, 1708, 22903, 2641, 3084, 267, 1857, 269, 21175, 593, 555, 11787, 676, 29827, 28831, 15259, 20860, 13544, 543, 3045, 773, 946, 519, 3529, 5264, 2407, 540, 2835, 543, 547, 2951, 547, 269, 634, 8087, 10806, 1223, 2503, 513, 5818, 538, 11564, 689, 519, 8087, 2829, 1282, 7064, 15130, 3018, 269, 966, 760, 330, 573, 4388, 585, 8429, 519, 5967, 543, 1256, 707, 544, 4169, 269, 10482, 278, 476, 6344, 279, 476, 3583, 277, 476, 11277, 276, 476, 14378, 476, 14983, 280, 476, 278, 6246, 476, 9083, 476, 5392, 278, 476, 9083, 272, 476, 15704, 279, 476, 20720, 476, 276, 4792, 476, 277, 2918, 476, 14862, 273, 476, 29257, 476, 10441, 276, 476, 16960, 278, 476, 10441, 279, 476, 14689, 273, 476, 277, 4817, 476, 31275, 476, 12208, 277, 476, 278, 4097, 476, 10441, 278, 476, 279, 2767, 476, 23310, 476, 18357, 476, 1556, 476, 274, 4200, 476, 4037, 272, 476, 32699, 0, 1692, 547, 5700, 1403, 1411, 5620, 16334, 597, 8776, 516, 15540, 454, 300, 340, 597, 8776, 516, 6794, 568, 6353, 676, 3384, 2789, 32248, 12970, 593, 519, 3068, 269, 16334, 597, 8776, 516, 15540, 568, 513, 2783, 538, 799, 606, 1367, 609, 24753, 5956, 547, 18930, 827, 5634, 3877, 538, 1272, 267, 2870, 513, 991, 547, 1118, 3388, 3501, 563, 300, 340, 597, 8776, 516, 15540, 630, 300, 4811, 264, 568, 606, 17163, 2068, 7133, 4600, 945, 2759, 998, 4224, 610, 3037, 547, 1349, 610, 9553, 2326, 269, 898, 779, 3957, 1310, 3627, 16334, 597, 267, 519, 13677, 7823, 17621, 267, 2067, 626, 267, 543, 2825, 626, 945, 4330, 621, 538, 519, 3735, 476, 5197, 271, 338, 269, 631, 4811, 568, 1360, 1455, 1851, 19379, 543, 26755, 4600, 267, 855, 621, 666, 1860, 4896, 945, 5781, 1568, 609, 7725, 269, 898, 779, 3361, 676, 4598, 547, 519, 6464, 5950, 950, 519, 6149, 568, 7745, 6306, 267, 543, 519, 13802, 666, 1205, 16290, 3330, 519, 1560, 563, 300, 340, 597, 8776, 516, 15540, 568, 513, 4686, 2783, 6353, 676, 7050, 6015, 543, 513, 12402, 547, 936, 335, 668, 1047, 543, 896, 23437, 1853, 563, 272, 269, 1548, 568, 16334, 597, 8776, 516, 15540, 888, 300, 340, 597, 8776, 516, 15540, 267, 849, 1634, 607, 631, 4811, 267, 568, 513, 4686, 4524, 538, 799, 519, 2960, 5956, 547, 6094, 543, 1033, 778, 269, 1703, 616, 1614, 4191, 540, 631, 4811, 281, 3689, 267, 519, 2960, 6238, 547, 5094, 269, 3973, 267, 519, 2127, 4299, 1831, 3819, 543, 1085, 3315, 269, 7053, 267, 952, 519, 2589, 3136, 31250, 267, 519, 2960, 3587, 865, 6094, 602, 28338, 1020, 269, 24930, 1869, 1810, 1406, 917, 1946, 519, 2783, 4523, 267, 855, 972, 616, 513, 1906, 6436, 912, 2005, 949, 581, 5532, 547, 513, 10194, 3968, 610, 513, 4719, 8919, 563, 300, 4811, 666, 1020, 538, 1022, 851, 540, 519, 1560, 269, 898, 666, 2253, 538, 519, 2960, 593, 519, 3068, 267, 3946, 267, 8405, 267, 21435, 267, 610, 10772, 269, 898, 949, 1376, 609, 1175, 835, 5544, 610, 2789, 9634, 543, 666, 1860, 1022, 2085, 1895, 269, 631, 4811, 2356, 5956, 593, 519, 3068, 543, 7930, 19082, 547, 824, 1560, 2694, 269, 1411, 666, 1413, 585, 1614, 4191, 281, 3689, 267, 519, 2960, 6238, 547, 5094, 543, 3587, 3819, 543, 1085, 3315, 269, 3973, 267, 621, 3587, 1166, 21294, 543, 9397, 3362, 563, 15563, 267, 952, 519, 2783, 5170, 31250, 267, 621, 3123, 519, 2960, 547, 2490, 883, 6094, 267, 21743, 2960, 269, 1452, 2242, 666, 4755, 936, 930, 942, 610, 1360, 3533, 269, 3509, 2188, 666, 2014, 519, 2783, 547, 1020, 269, 898, 568, 1898, 547, 1265, 856, 519, 2601, 1946, 621, 4523, 269, 4495, 596, 917, 519, 2601, 267, 596, 666, 1265, 513, 2126, 547, 4368, 621, 563, 273, 269, 1215, 568, 16334, 597, 8776, 516, 15540, 13958, 2216, 888, 763, 1655, 1259, 547, 13209, 16334, 597, 8776, 516, 15540, 568, 547, 1294, 952, 707, 5520, 723, 621, 269, 10251, 267, 519, 2783, 568, 865, 4686, 602, 972, 616, 711, 1022, 2589, 602, 1291, 2047, 547, 519, 5868, 269, 1924, 1247, 972, 568, 513, 1686, 540, 3384, 519, 2068, 267, 519, 1152, 1259, 547, 6166, 621, 568, 547, 1491, 513, 3732, 540, 519, 1268, 779, 1973, 543, 1449, 621, 585, 13592, 563, 2252, 2576, 538, 707, 2754, 814, 1044, 8995, 609, 16334, 597, 8776, 516, 15540, 267, 596, 1590, 957, 3533, 547, 1265, 519, 1966, 269, 634, 1101, 3364, 596, 1058, 798, 568, 547, 2697, 782, 540, 519, 5520, 8995, 609, 519, 2068, 269, 3973, 267, 621, 1131, 4324, 952, 596, 1336, 856, 811, 827, 741, 2564, 1686, 269, 1411, 1058, 1592, 782, 519, 6527, 789, 616, 2921, 543, 1265, 856, 2436, 789, 723, 1044, 2921, 1022, 9360, 563, 763, 5520, 609, 16334, 597, 8776, 516, 15540, 949, 581, 1210, 930, 1114, 11955, 602, 824, 1004, 5749, 1406, 269, 898, 1131, 4324, 596, 952, 596, 4280, 873, 827, 602, 269, 898, 1131, 581, 1655, 952, 596, 4718, 1018, 9360, 789, 616, 1210, 269, 1411, 849, 991, 547, 917, 2436, 789, 616, 3478, 2834, 2638, 5725, 543, 952, 789, 723, 1022, 824, 10108, 610, 7063, 269, 5269, 2386, 602, 596, 1246, 909, 593, 713, 563, 763, 1292, 2601, 602, 1004, 1020, 16334, 597, 8776, 516, 15540, 568, 602, 789, 616, 6534, 547, 5982, 269, 1403, 596, 960, 693, 513, 6046, 10380, 267, 596, 786, 2693, 723, 547, 581, 6534, 547, 5982, 269, 2755, 596, 616, 6534, 547, 5982, 267, 596, 949, 1205, 930, 4598, 547, 18325, 12345, 269, 717, 10397, 12345, 616, 1164, 20589, 5536, 602, 616, 1336, 538, 519, 1604, 269, 1358, 616, 3622, 20027, 543, 616, 2356, 711, 5906, 563, 32701, 267, 930, 2043, 949, 581, 811, 6213, 547, 18325, 12345, 982, 1866, 269, 1403, 596, 616, 835, 540, 1346, 2043, 267, 596, 949, 1020, 16334, 597, 8776, 516, 15540, 269, 901, 4523, 1317, 540, 519, 1259, 602, 519, 1560, 3157, 18325, 12345, 269, 16930, 13592, 2049, 538, 930, 1004, 945, 616, 811, 6213, 547, 18325, 12345, 269, 1452, 13592, 1267, 538, 519, 5137, 540, 519, 16334, 597, 8776, 516, 3940, 269, 1403, 713, 3940, 10953, 3330, 513, 1268, 779, 1560, 267, 789, 786, 2253, 547, 1397, 4191, 540, 519, 2783, 269, 1452, 4191, 1331, 513, 3668, 540, 4552, 267, 2960, 12970, 267, 5642, 17244, 267, 543, 2634, 12970, 563, 274, 269, 5808, 568, 693, 1981, 585, 3384, 16334, 597, 8776, 516, 15540, 888, 1607, 568, 513, 4049, 2790, 1072, 2783, 269, 1879, 2576, 6238, 2348, 4555, 540, 11980, 267, 741, 7099, 786, 1689, 6385, 269, 901, 1268, 666, 6336, 3346, 609, 4641, 269, 901, 666, 1291, 547, 1612, 8457, 807, 267, 4160, 267, 989, 2787, 267, 10845, 267, 1582, 1790, 640, 267, 24986, 267, 610, 1642, 16272, 269, 769, 930, 2665, 267, 1004, 693, 1981, 585, 3384, 16334, 597, 8776, 516, 6794, 949, 581, 2808, 1164, 16151, 2550, 585, 11980, 543, 4965, 563, 2467, 616, 930, 4191, 547, 1413, 856, 585, 952, 596, 1589, 2576, 596, 917, 1522, 581, 693, 1981, 585, 29047, 4555, 269, 1452, 1331, 1919, 899, 912, 272, 269, 6158, 827, 11318, 2933, 454, 273, 269, 6031, 602, 789, 616, 2469, 547, 6146, 2933, 454, 274, 269, 6029, 606, 2799, 1297, 540, 11980, 4967, 454, 275, 269, 6029, 8966, 2157, 540, 4160, 267, 18354, 267, 610, 989, 2787, 454, 276, 269, 6029, 4191, 540, 4965, 267, 1519, 24986, 267, 27945, 1145, 267, 610, 8519, 1719, 538, 2238, 454, 277, 269, 11589, 606, 9837, 547, 3479, 11980 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4552, 31049, 269, 1358, 2461, 1572, 519, 11204, 4552, 1652, 2915, 1317, 267, 524, 685, 3000, 267, 945, 666, 24969, 741, 2016, 2012, 286, 4014, 267, 952, 596, 8910, 899, 547, 2119, 267, 621, 779, 14733, 968, 19651, 268, 869, 3887, 1846, 268, 4302, 550, 6122, 324, 3034, 311, 565, 657, 616, 3810, 22934, 538, 547, 707, 4606, 899, 1346, 5243, 602, 666, 2995, 950, 596, 1810, 1406, 1745, 1434, 610, 616, 2348, 513, 11315, 1554, 269, 1358, 2461, 849, 3833, 10995, 267, 543, 741, 4064, 6655, 602, 563, 2467, 616, 1079, 8677, 1107, 4552, 1652, 543, 22862, 1107, 855, 519, 5182, 540, 519, 1397, 568, 519, 4552, 1652, 1826, 269, 4317, 543, 15754, 622, 267, 891, 5243, 2648, 547, 581, 1472, 1920, 269, 1358, 666, 581, 530, 776, 540, 21046, 543, 616, 849, 16857, 267, 865, 596, 3580, 723, 513, 1434, 4585, 27594, 593, 707, 3946, 563, 2252, 596, 1616, 513, 4062, 540, 1686, 267, 513, 13991, 1655, 3659, 267, 543, 723, 15792, 942, 547, 2285, 713, 17615, 2915, 267, 713, 3504, 9742, 568, 10912, 707, 2012, 563, 275, 269, 14861, 710, 623, 10042, 13928, 454, 347, 3891, 697, 1475, 1015, 892, 547, 476, 1691, 892, 630, 20791, 264, 2073, 1691, 892, 547, 476, 1240, 892, 630, 4364, 1756, 264, 2073, 476, 1240, 892, 547, 476, 1839, 892, 630, 26171, 10245, 347, 26574, 1475, 280, 268, 1240, 7273, 269, 630, 20791, 264, 2073, 1240, 268, 1839, 7273, 269, 630, 4364, 1756, 264, 2073, 1839, 268, 4649, 7273, 269, 630, 26171, 10245, 26180, 584, 1299, 2681, 1475, 295, 1515, 1652, 1107, 6519, 267, 4544, 267, 1793, 622, 267, 3109, 267, 19730, 267, 16009, 267, 3284, 878, 582, 267, 1025, 27475, 2008, 6635, 7217, 710, 623, 10042, 5243, 616, 865, 4686, 594, 1223, 18923, 1265, 1344, 593, 873, 269, 1809, 972, 616, 930, 1919, 649, 798, 917, 269, 1358, 4076, 1044, 1472, 585, 5215, 540, 1296, 543, 616, 513, 2673, 3448, 547, 519, 3131, 12320, 1014, 5549, 320, 2107, 577, 573, 563, 15447, 333, 585, 741, 5347, 267, 2571, 2960, 267, 789, 2461, 5097, 1336, 538, 18335, 269, 7216, 23462, 630, 1729, 948, 8897, 873, 2509, 21046, 811, 6707, 264, 543, 2318, 15699, 2866, 786, 2327, 713, 2915, 3587, 782, 602, 646, 666, 581, 563, 1607, 1200, 3429, 2915, 568, 10121, 267, 10995, 267, 15754, 622, 267, 543, 2656, 269, 1261, 3323, 856, 607, 513, 678, 2660, 543, 568, 3226, 23816, 540, 16246, 543, 17259, 563, 19853, 2960, 568, 3833, 6213, 267, 855, 649, 3580, 3382, 875, 547, 1416, 585, 782, 891, 11953, 1606, 7219, 2740, 3083, 625, 2630, 563, 276, 269, 1977, 22458, 1652, 6833, 8175, 454, 26180, 584, 1299, 2681, 1475, 295, 1515, 1652, 543, 22862, 1107, 476, 3374, 2009, 4778, 610, 2681, 23399, 2008, 13563, 4552, 1652, 1768, 13205, 616, 10995, 267, 10332, 267, 543, 723, 513, 9522, 540, 1648, 267, 799, 789, 1397, 1055, 538, 2789, 2915, 5026, 899, 5136, 17171, 543, 3397, 1006, 269, 1358, 2461, 1390, 609, 1762, 1453, 543, 519, 1964, 540, 519, 1920, 855, 786, 991, 547, 581, 5189, 7157, 547, 1007, 5243, 543, 824, 10130, 269, 630, 15900, 23462, 568, 11613, 2556, 8094, 2304, 6827, 832, 540, 519, 1482, 9742, 32170, 14148, 267, 865, 519, 1977, 4552, 1652, 1768, 8175, 779, 10352, 5397, 568, 14320, 1164, 563, 14946, 539, 538, 519, 2475, 538, 519, 2038, 476, 3583, 338, 267, 1977, 22458, 1652, 1768, 8175, 5243, 616, 4443, 593, 11570, 609, 11959, 982, 824, 5243, 267, 855, 3314, 267, 1100, 2915, 568, 11207, 3834, 334, 718, 1120, 21329, 2094, 789, 782, 3132, 2915, 779, 546, 6387, 269, 674, 7037, 543, 8049, 267, 713, 9742, 1131, 1118, 513, 8748, 1840, 547, 606, 3742, 1920, 563, 277, 269, 3131, 12320, 1014, 22458, 1652, 630, 8110, 12320, 1014, 5549, 320, 2107, 577, 573, 994, 347, 3891, 697, 1475, 1015, 892, 268, 1626, 892, 630, 22102, 1070, 476, 1626, 892, 268, 736, 892, 630, 8469, 1756, 1070, 476, 736, 892, 268, 2918, 892, 630, 29209, 10245, 347, 26574, 1475, 279, 269, 276, 268, 1704, 269, 276, 7273, 269, 630, 22102, 1070, 1704, 269, 276, 268, 2918, 269, 276, 7273, 269, 630, 8469, 1756, 1070, 2918, 269, 276, 268, 4649, 7273, 269, 630, 29209, 10245, 26180, 584, 1299, 2681, 1475, 295, 1515, 1652, 1107, 476, 1704, 2009, 4778, 610, 2681, 23399, 2008, 1607, 3131, 12320, 1014, 4552, 1652, 2915, 5654, 899, 646, 779, 538, 513, 476, 3583, 338, 5309, 330, 6512, 2507, 594, 2161, 561, 990, 5944, 256, 1261, 1522, 1175, 581, 513, 2370, 20868, 269, 1261, 779, 4625, 4552, 1652, 4849, 585, 513, 14816, 593, 1010, 2212, 602, 5654, 899, 513, 544, 2129, 1177, 330, 269, 1656, 789, 1118, 968, 534, 2615, 892, 3280, 1762, 269, 4706, 8129, 2392, 622, 519, 5549, 320, 563, 8110, 12320, 1014, 5549, 320, 2107, 577, 1749, 723, 1044, 32170, 267, 13881, 267, 543, 5030, 593, 519, 10754, 540, 3162, 3013, 585, 5553, 269, 1879, 789, 941, 693, 519, 1448, 540, 14486, 267, 789, 941, 1034, 2693, 30042, 676, 519, 5549, 320, 563, 18814, 547, 2348, 11247, 18995, 713, 4686, 9742, 267, 649, 917, 789, 4076, 11478, 2094, 693, 2547, 476, 16020, 589, 6185, 269, 901, 15754, 622, 267, 18512, 267, 10121, 267, 543, 3432, 344, 2915, 19262, 938, 2463, 269, 898, 814, 15068, 1996, 782, 12918, 563, 278, 269, 22458, 1652, 10609, 8403, 630, 289, 565, 643, 1014, 22458, 1652, 994, 26180, 584, 1299, 2681, 1475, 295, 1515, 1652, 1107, 22630, 267, 4158, 12457, 2008, 289, 565, 643, 1014, 4552, 1652, 5243, 616, 22537, 267, 10995, 267, 2703, 850, 5243, 602, 1131, 3514, 1318, 538, 609, 20650, 269, 1358, 1810, 1406, 991, 5230, 3635, 543, 2972, 4683, 610, 2197, 2713, 269, 8866, 1131, 1205, 2059, 1390, 609, 873, 267, 1932, 267, 2094, 789, 2461, 16994, 593, 1404, 5503, 543, 18147, 1884, 923, 563, 2791, 3580, 991, 547, 1205, 873, 26224, 547, 1007, 1004, 543, 824, 5243, 630, 22022, 23462, 1070, 1256, 1498, 789, 4043, 547, 581, 1875, 8410, 12506, 1049, 563, 29613, 958, 267, 12561, 824, 4552, 1652, 14981, 883, 519, 1920, 1131, 581, 3501, 585, 873, 269, 1452, 5243, 12090, 538, 5824, 3013, 543, 723, 1044, 1472, 585, 5215, 540, 1296, 563, 26180, 584, 1299, 2681, 1475, 301, 22022, 4552, 1652, 1107, 674, 11921, 267, 3109, 267, 3043, 267, 10217, 267, 543, 23399, 2008, 1607, 4552, 1652, 2915, 9742, 568, 2182, 547, 1265, 267, 1256, 538, 741, 5065, 2244, 540, 3127, 269, 13744, 30231, 5243, 616, 6140, 9602, 267, 855, 950, 789, 13626, 267, 621, 779, 811, 899, 513, 586, 617, 601, 269, 1358, 12090, 607, 1200, 3429, 543, 10122, 5243, 543, 723, 513, 2706, 2110, 10359, 630, 1348, 281, 1360, 2370, 4552, 264, 602, 13147, 923, 1373, 4552, 1652, 563, 297, 517, 836, 529, 616, 7874, 267, 22537, 267, 543, 2653, 547, 5721, 269, 1452, 4552, 1652, 5243, 2648, 3214, 543, 824, 2831, 855, 616, 19035, 540, 21046, 269, 7216, 2866, 543, 23462, 786, 562, 760, 602, 538, 519, 5229, 563, 280, 269, 2806, 903, 7562, 1014, 9995, 6833, 8175, 630, 28893, 22458, 1652, 994, 26180, 584, 1299, 2681, 1475, 14937, 267, 17707, 12457, 267, 12457, 880, 3109, 267, 19730, 267, 12779, 22501, 267, 6825, 609, 9634, 2008, 30265, 539, 609, 2620, 14017, 543, 20174, 267, 891, 4552, 1652, 1768, 13205, 616, 513, 7772, 547, 723, 1472, 269, 1358, 2461, 3810, 5721, 762, 543, 723, 6266, 540, 1648, 267, 865, 952, 596, 2461, 3742, 543, 1616, 513, 2915, 596, 666, 4001, 267, 2806, 903, 7562, 1014, 9995, 1131, 581, 3501, 563, 2791, 666, 1039, 1373, 28292, 267, 4250, 1652, 267, 543, 15754, 622, 547, 922, 1592, 540, 1915, 7592, 267, 543, 789, 1118, 17512, 881, 1920, 5243, 563, 1607, 3504, 3979, 4552, 1652, 2915, 568, 5393, 4686, 267, 543, 596, 8910, 723, 513, 9157, 942, 4466, 835, 538, 3013, 267, 855, 1810, 1406, 1577, 602, 3247, 596, 689, 6998, 513, 9742, 10391, 630, 327, 1515, 1652, 264, 15063, 3919, 563, 290, 2130, 585, 22458, 1652, 13928, 6601, 2644, 454, 9617, 4952, 2348, 519, 5347, 2960, 593, 707, 2212, 6534, 547, 519, 3141, 593, 513, 476, 3445, 24266, 1554, 269, 3502, 1187, 269, 898, 779, 519, 1482, 609, 4552, 1652, 5243, 269, 1358, 991, 547, 581, 6870, 689, 519, 3002, 269, 12182, 4365, 543, 3141, 4598, 666, 581, 24037, 547, 891, 666, 1149, 269, 6129, 31653, 267, 4481, 585, 5243, 267, 568, 707, 1101, 4494, 540, 4027, 563, 5804, 972, 267, 1118, 2386, 547, 723, 7899, 540, 8825, 7802, 899, 4418, 11596, 543, 695, 16630, 585, 5243, 593, 1796, 2421, 267, 2523, 952, 596, 2661, 538, 21617, 16374, 269, 1744, 16630, 616, 849, 513, 1434, 2856, 585, 873, 538, 519, 4832, 585, 4027, 563, 7212, 789, 2461, 4552, 1652, 267, 789, 1869, 991, 547, 581, 10627, 1117, 267, 855, 1169, 2915, 568, 1114, 269, 4595, 713, 835, 568, 865, 2189, 267, 621, 779, 1655, 547, 2307, 707, 17022, 875, 1419, 547, 536, 7752, 873, 2094, 596, 1810, 1406, 1616, 547, 3819, 856, 741, 2960, 269, 4746, 267, 2307, 1864, 610, 1200, 1018, 519, 1655, 5848, 584, 6500, 568, 547, 946, 593, 873, 547, 1832, 741, 2960, 2635, 563, 763, 1964, 568, 2653, 2507, 5620, 741, 18969, 804, 5792, 2899, 513, 3923, 267, 11453, 741, 4522, 12353, 630, 339, 820, 873, 547, 519, 17022, 1813, 547, 741, 5959, 2152, 1070, 543, 1205, 9716, 11974, 7466, 513, 1032, 269, 1684, 782, 540, 713, 267, 543, 596, 3580, 723, 513, 6126, 7782, 563, 2710, 22458, 1652, 17268, 18859, 4400, 20904, 888, 8253, 693, 782, 269, 1306, 1279, 607, 596, 946, 24429, 630, 14588, 32496, 585, 5243, 264, 543, 10571, 873, 18481, 585, 3905, 610, 4411, 4365, 267, 519, 1964, 568, 2653, 269, 1411, 1175, 1246, 1018, 596, 8910, 798, 585, 1022, 824, 14981, 630, 333, 5661, 267, 4522, 267, 17022, 11564, 1916, 1432, 1772, 519, 8779, 540, 513, 22458, 1652, 13928, 888, 288, 4552, 1652, 21937, 666, 1942, 9170, 689, 1269, 272, 267, 1822, 268, 259, 275, 267, 1822, 267, 4470, 593, 741, 678, 10846, 269, 634, 2473, 23383, 6308, 30501, 842, 2993, 630, 311, 23383, 264, 568, 4440, 519, 1034, 8179, 8584, 1123, 267, 799, 1131, 2322, 519, 1942, 693, 519, 2362, 1439, 540, 519, 4336, 563, 28082, 4552, 1652, 2915, 14981, 1472, 519, 1158, 1331, 519, 4457, 595, 6135, 539, 13928, 267, 2473, 23383, 6308, 30501, 842, 548, 630, 300, 1410, 4618, 22458, 1652, 13928, 1070, 543, 519, 3131, 12320, 1014, 5549, 320, 2107, 577, 573, 269, 1717, 267, 14981, 899, 519, 14861, 710, 623, 10042, 2915, 267, 2806, 903, 7562, 1014, 5070, 1768, 13205, 267, 30643, 779, 22458, 1652, 10609, 8403, 267, 543, 519, 28130, 1014, 22458, 1652, 2915, 616, 711, 13166, 10805, 563, 295, 1515, 1652, 5243, 616, 15962, 267, 10995, 267, 543, 17615, 2831, 269, 1358, 2285, 1394, 607, 1454, 607, 789, 2285, 267, 543, 789, 2285, 513, 2603, 269, 1924, 789, 2461, 24052, 256, 1924, 568, 707, 1133, 2193, 15182, 731, 267, 855, 596, 1810, 1406, 11716, 1864, 563, 10673, 1406, 4413, 856, 593, 513, 5963, 8748, 4316, 547, 581, 519, 27369, 540, 971, 513, 4686, 9742, 269, 1358, 3580, 581, 865, 18507, 269, 1656, 707, 11959, 786, 9684, 596, 269, 0, 12218, 476, 1015, 1185, 1390, 1187, 950, 30486, 10272, 721, 593, 13723, 547, 4001, 721, 875, 547, 946, 519, 8193, 1982, 2480, 337, 2255, 269, 1284, 941, 6026, 875, 547, 946, 513, 3126, 593, 6620, 547, 1711, 938, 1378, 14015, 6429, 563, 2171, 1287, 4957, 519, 10047, 2511, 540, 519, 838, 1679, 543, 17332, 606, 14015, 20457, 269, 3973, 649, 3773, 811, 838, 27866, 543, 1185, 547, 1118, 873, 1847, 693, 1114, 11250, 1107, 713, 729, 16602, 256, 2336, 2171, 759, 1242, 930, 540, 519, 838, 27866, 543, 4957, 873, 1472, 547, 1847, 538, 1114, 8846, 269, 2991, 602, 267, 30486, 4951, 721, 875, 547, 7696, 4992, 1107, 1631, 713, 729, 2731, 3579, 2336, 7661, 267, 649, 2813, 513, 1007, 5690, 865, 930, 838, 27866, 2242, 24853, 607, 789, 6410, 2066, 519, 3942, 2336, 2005, 729, 513, 13085, 8400, 543, 649, 19927, 865, 1082, 1007, 1983, 269, 2480, 337, 2255, 568, 513, 1863, 1982, 543, 1082, 540, 721, 616, 16994, 547, 2119, 621, 856, 693, 1753, 269, 3767, 602, 4147, 476, 1015, 616, 8193, 4966, 267, 649, 616, 2469, 547, 4001, 938, 2828, 538, 4147, 476, 280, 875, 547, 946, 519, 1982, 267, 865, 602, 789, 547, 666, 1831, 3579, 13798, 619, 8627 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1713, 1689, 538, 875, 2472, 941, 3812, 267, 689, 812, 1500, 547, 3684, 1500, 267, 568, 1572, 519, 12843, 1693, 23084, 454, 1103, 12843, 1693, 13090, 6082, 267, 972, 616, 13322, 1693, 13090, 6080, 543, 12843, 1029, 798, 1034, 540, 519, 960, 563, 1103, 3384, 6082, 267, 972, 616, 13322, 1693, 13090, 6080, 543, 12843, 1029, 798, 1034, 540, 519, 960, 676, 13322, 30668, 563, 3071, 1693, 13090, 22520, 543, 13322, 1693, 2069, 1419, 20575, 15043, 8315, 563, 2026, 1158, 4123, 21040, 267, 2477, 1831, 811, 543, 811, 23084, 1693, 593, 1142, 824, 563, 307, 8565, 11650, 267, 610, 12843, 6303, 13090, 267, 948, 2477, 6133, 5370, 547, 835, 1776, 0, 1103, 634, 5240, 281, 4972, 540, 918, 1149, 5735, 543, 12594, 7070, 454, 9336, 4005, 3091, 3255, 547, 32696, 538, 6653, 13000, 269, 1809, 1018, 952, 596, 2461, 3843, 547, 1205, 2635, 676, 9505, 1154, 1524, 519, 4006, 538, 707, 2732, 286, 25272, 12038, 609, 6341, 13183, 320, 3213, 25830, 267, 606, 4274, 538, 6484, 543, 2732, 7497, 693, 519, 2160, 540, 21600, 20098, 30988, 267, 547, 1451, 811, 827, 519, 2360, 540, 4006, 593, 519, 1560, 563, 7804, 269, 3026, 531, 5689, 1731, 14509, 519, 5767, 1072, 543, 8516, 21075, 547, 948, 11126, 707, 1272, 269, 4653, 267, 6341, 13183, 320, 3213, 25830, 2443, 8689, 540, 6167, 299, 309, 781, 9894, 12519, 5358, 538, 12594, 1299, 10791, 7497, 543, 7022, 540, 519, 21600, 9142, 540, 12594, 543, 10791, 7497, 2443, 6941, 875, 8380, 513, 26699, 593, 6653, 13000, 5540, 519, 1560, 563, 5804, 14512, 25394, 547, 21175, 2650, 547, 4411, 4832, 13000, 267, 1169, 9702, 267, 4005, 610, 2027, 8317, 554, 1046, 839, 5023, 21226, 532, 8823, 540, 513, 5172, 1476, 1254, 2044, 6159, 1324, 269, 1809, 1018, 952, 596, 2461, 3843, 547, 1205, 2635, 676, 9505, 1154, 1524, 519, 4006, 538, 707, 2732, 888, 16449, 519, 4006, 15639, 2589, 602, 1860, 1346, 945, 6430, 547, 9004, 621, 616, 14331, 267, 7181, 24074, 610, 15499, 2242, 563, 5719, 548, 1154, 4006, 689, 513, 2732, 666, 3648, 1860, 1732, 1072, 267, 1732, 1413, 267, 543, 2164, 538, 2168, 2534, 563, 29493, 1154, 4430, 4006, 689, 519, 2732, 666, 2087, 1072, 543, 960, 2773, 269, 901, 729, 896, 20040, 676, 6341, 13183, 320, 3213, 25830, 267, 7022, 540, 519, 21600, 9142, 540, 12594, 543, 10791, 7497, 543, 513, 11001, 693, 519, 2160, 540, 21600, 20098, 30988, 563, 257, 2252, 596, 4734, 856, 14836, 267, 596, 3513, 2057, 513, 10935, 2903, 540, 8900, 543, 24631, 8477, 267, 799, 2337, 596, 6336, 2597, 910, 8259, 596, 5372, 873, 609, 824, 8900, 8477, 2437, 6941, 3213, 25830, 269, 2368, 1004, 949, 1995, 15639, 2589, 971, 607, 15677, 267, 7181, 2042, 610, 15108, 5322, 269, 3213, 25830, 6941, 713, 607, 5205, 281, 834, 2691, 707, 1560, 4991, 1031, 547, 1978, 6878, 267, 519, 8851, 540, 713, 6219, 12662, 707, 1560, 538, 513, 2186, 540, 1533, 540, 8710, 267, 543, 891, 15639, 2589, 666, 2063, 585, 513, 1906, 2395, 547, 1079, 4374, 4799, 6701, 596, 519, 835, 4171, 17711, 5694, 568, 7683, 9991, 286, 898, 568, 1100, 4898, 267, 1317, 519, 3773, 4006, 568, 1459, 538, 1022, 1426, 267, 543, 519, 17711, 21684, 616, 4482, 1947, 30443, 6362, 2673, 547, 519, 6666, 11578, 540, 1169, 6300, 269, 898, 568, 2182, 547, 2057, 6653, 13000, 543, 3478, 4006, 538, 519, 2732, 693, 782, 269, 1809, 1058, 649, 2119, 547, 2569, 286, 2107, 6148, 1256, 3247, 1210, 630, 611, 4765, 264, 4006, 888, 28347, 540, 519, 21600, 9142, 540, 12594, 543, 10791, 7497, 6341, 13183, 320, 3213, 25830, 11329, 856, 602, 4006, 568, 22925, 563, 4407, 5969, 856, 26265, 267, 4235, 7899, 540, 1216, 543, 15165, 593, 4829, 543, 5388, 563, 763, 18349, 540, 519, 946, 540, 4006, 538, 519, 1101, 3942, 666, 2014, 15639, 2589, 2147, 547, 1346, 4767, 538, 4568, 13829, 563, 21790, 6888, 281, 4438, 519, 942, 540, 5969, 1524, 593, 26265, 267, 4235, 7899, 540, 1216, 543, 15165, 593, 4829, 543, 5388, 269, 0, 8512, 1775, 281, 5508, 293, 21201, 670, 5495, 11965, 454, 763, 960, 538, 8433, 25980, 3323, 607, 606, 9101, 269, 18521, 1901, 998, 17279, 543, 4806, 2679, 269, 18521, 1901, 689, 1543, 269, 2506, 27679, 540, 1022, 1641, 829, 694, 267, 2451, 3297, 616, 7493, 539, 543, 3186, 8494, 1944, 5784, 540, 1250, 18638, 9703, 5627, 1360, 2370, 824, 982, 19141, 543, 17522, 4610, 540, 4806, 539, 5604, 1957, 269, 1306, 513, 3126, 540, 3109, 543, 3043, 11147, 267, 8433, 25980, 568, 513, 19214, 540, 25276, 2534, 936, 942, 6170, 9678, 538, 1250, 18638, 563, 8512, 13797, 281, 2368, 4555, 593, 23694, 23779, 454, 28403, 1944, 3270, 1450, 721, 547, 3589, 543, 2503, 1018, 568, 4947, 269, 634, 1184, 540, 4806, 6284, 3322, 12805, 519, 1344, 4607, 609, 519, 1344, 2907, 6740, 538, 519, 2634, 269, 23694, 6284, 3340, 17279, 540, 1995, 269, 4634, 32748, 531, 553, 267, 945, 4865, 1447, 31465, 3206, 5759, 267, 946, 4806, 6284, 547, 1265, 543, 8532, 552, 32023, 3762, 269, 634, 1480, 2634, 814, 2919, 811, 267, 855, 6585, 10486, 547, 519, 12058, 540, 5017, 543, 2539, 11864, 563, 306, 6312, 658, 17568, 538, 519, 1604, 267, 19551, 4681, 267, 543, 16326, 10898, 543, 2200, 547, 2333, 8458, 540, 6668, 616, 1806, 540, 519, 3498, 540, 4806, 6284, 585, 3425, 543, 2831, 269, 23694, 6284, 2636, 721, 547, 1224, 1913, 267, 1174, 1893, 267, 5431, 2828, 267, 543, 1256, 5660, 2575, 563, 20329, 6048, 9400, 27068, 6059, 602, 827, 476, 3445, 260, 540, 519, 1344, 568, 4503, 1063, 519, 942, 621, 3217, 547, 979, 689, 519, 3750, 547, 519, 2634, 267, 799, 568, 1946, 519, 2634, 1590, 7058, 1018, 519, 1268, 12034, 1759, 593, 2250, 2833, 269, 769, 824, 1913, 267, 649, 4020, 938, 8226, 540, 4641, 267, 543, 891, 11994, 616, 19165, 610, 3981, 1431, 1759, 593, 2250, 2833, 543, 6740, 1344, 269, 634, 5250, 540, 11234, 3981, 1431, 786, 1291, 547, 6959, 540, 8226, 971, 607, 3308, 2192, 16272, 269, 0, 21900, 21106, 7001, 8090, 538, 1272, 602, 1118, 596, 1616, 547, 3314, 267, 1118, 596, 1616, 547, 7340, 267, 547, 3956, 267, 547, 14902, 543, 3388, 538, 1063, 269, 7353, 21106, 616, 547, 3314, 269, 4438, 519, 1533, 9810, 538, 18335, 267, 950, 1082, 1004, 4682, 7508, 267, 11147, 941, 1031, 547, 3314, 873, 543, 547, 1265, 873, 1256, 952, 519, 4108, 6785, 789, 9327, 1406, 581, 1336, 267, 602, 789, 1131, 581, 2144, 1078, 269, 769, 27813, 22365, 2006, 779, 4760, 7127, 968, 27001, 519, 22569, 2435, 543, 519, 7464, 281, 7353, 4919, 23609, 540, 31366, 543, 540, 14264, 3273, 807, 538, 18335, 5608, 1352, 2829, 602, 968, 1103, 18335, 267, 519, 8523, 540, 519, 4666, 8276, 1170, 532, 814, 606, 1256, 811, 7096, 4644, 282, 621, 6763, 538, 1219, 4800, 267, 17591, 532, 519, 13986, 2144, 5501, 540, 519, 2677, 777, 732, 322, 573, 657, 676, 519, 4108, 2229, 6100, 24436, 602, 519, 4108, 3576, 1247, 12475, 1005, 543, 32043, 6260, 891, 1093, 788, 548, 616, 513, 6305, 1383, 540, 19551, 543, 25643, 1018, 5949, 269, 1358, 616, 1806, 602, 891, 1004, 949, 723, 20374, 855, 789, 5749, 1406, 2144, 1078, 269, 4438, 519, 8062, 602, 3576, 1747, 585, 782, 540, 519, 10963, 8149, 1282, 713, 942, 267, 1082, 3885, 543, 2828, 4371, 909, 3182, 3293, 540, 1346, 602, 941, 968, 518, 1078, 892, 602, 1394, 909, 22365, 2006, 779, 1448, 602, 891, 2010, 540, 11147, 17591, 519, 2856, 540, 2144, 2084, 1004, 269, 901, 4605, 602, 596, 1294, 568, 513, 12576, 547, 1346, 602, 8149, 891, 10963, 602, 789, 941, 538, 519, 4636, 543, 713, 568, 1018, 789, 1705, 267, 713, 568, 945, 789, 12475, 3293, 543, 7166, 269, 1323, 3239, 971, 607, 713, 4904, 609, 1082, 1114, 2592, 568, 835, 602, 1058, 581, 1266, 11712, 538, 741, 8186, 11014, 563, 1607, 10839, 676, 7439, 320, 6790, 329, 850, 557, 577, 538, 1200, 6648, 968, 308, 3534, 3752, 320, 16334, 518, 974, 23168, 6242, 892, 568, 519, 3501, 6041, 540, 1018, 649, 723, 14754, 693, 782, 540, 891, 30969, 7740, 269, 1306, 649, 4121, 827, 519, 25711, 689, 1142, 543, 1169, 4099, 543, 1185, 519, 4316, 547, 3717, 547, 930, 267, 649, 1451, 827, 519, 3668, 540, 1480, 1436, 269, 700, 3151, 741, 2012, 568, 6306, 540, 602, 269, 901, 3018, 649, 4682, 547, 5487, 10507, 2742, 267, 589, 25605, 519, 26401, 540, 18335, 269, 901, 1747, 729, 1634, 585, 11318, 5215, 540, 1004, 269, 8307, 476, 1220, 610, 865, 15068, 689, 713, 4099, 269, 1306, 649, 15336, 593, 519, 8289, 267, 649, 1294, 602, 713, 1747, 729, 2047, 538, 4395, 540, 519, 1292, 4155, 269, 6250, 1043, 2614, 585, 1004, 547, 1294, 1018, 729, 2469, 593, 972, 269, 1306, 649, 3136, 547, 3802, 649, 941, 5483, 827, 519, 2338, 789, 941, 2016, 269, 4256, 4408, 941, 4625, 2144, 1078, 585, 519, 942, 1373, 269, 2334, 1297, 547, 873, 729, 1272, 610, 2669, 269, 1403, 789, 941, 1572, 267, 519, 4440, 9327, 1406, 2132, 269, 3502, 1373, 1572, 5921, 811, 942, 538, 741, 2729, 269, 1306, 594, 1589, 827, 713, 594, 849, 1589, 827, 1018, 621, 1590, 723, 1044, 899, 585, 1250, 11937, 1282, 8474, 269, 9717, 1007, 4408, 267, 610, 6148, 1256, 2338, 269, 594, 849, 1589, 827, 1018, 621, 729, 899, 585, 9925, 338, 543, 873, 2348, 2338, 543, 711, 741, 3312, 4408, 269, 1548, 568, 621, 899, 2899, 596, 2461, 15685, 286, 901, 632, 16058, 1436, 568, 519, 2601, 519, 1004, 5433, 519, 1379, 547, 3136, 547, 798, 1018, 789, 941, 3257, 269, 2060, 713, 267, 789, 26763, 2476, 14121, 787, 547, 32135, 945, 789, 941, 543, 1141, 789, 2097, 689, 269, 6787, 621, 581, 10151, 610, 8628, 741, 2338, 616, 711, 741, 4408, 563, 6781, 913, 568, 519, 18205, 3135, 540, 519, 3735, 5345, 320, 3131, 517, 563, 2171, 10272, 519, 5345, 320, 3131, 517, 9754, 538, 11370, 523, 657, 589, 2231, 269, 4173, 942, 729, 1354, 519, 28983, 1222, 540, 476, 3192, 277, 2943, 585, 930, 1352, 568, 2808, 513, 12316, 14861, 710, 534, 585, 1200, 1909, 538, 2021, 779, 27049, 543, 1200, 9295, 547, 519, 2539, 1647, 1362, 269, 589, 10839, 689, 519, 9754, 16363, 1200, 513, 968, 306, 2869, 3770, 6205, 540, 519, 4182, 2507, 543, 513, 8115, 540, 2648, 1063, 3131, 517, 543, 519, 1004, 9731, 296, 13948, 1589, 5345, 320, 729, 6619, 540, 1200, 942, 269, 2701, 3459, 4521, 476, 9873, 1015, 630, 10193, 1634, 607, 5345, 7534, 779, 4521, 264, 538, 18335, 865, 2021, 1223, 8917, 269, 4173, 3440, 582, 729, 519, 1101, 835, 5641, 269, 4014, 1352, 4769, 1406, 723, 606, 4013, 2140, 1352, 568, 26060, 607, 968, 18128, 7534, 892, 1317, 540, 875, 1352, 6068, 1200, 1004, 269, 2334, 568, 1946, 5756, 1310, 1200, 2669, 972, 616, 1869, 5810, 593, 1200, 18205, 3135, 563, 8448, 338, 6813, 1200, 538, 811, 4652, 822, 1681, 1769, 1813, 547, 1200, 6125, 609, 3131, 517, 269, 715, 684, 8619, 16549, 6257, 3131, 517, 607, 513, 18348, 539, 6205, 945, 5828, 18335, 779, 3384, 4123, 9769, 3350, 883, 968, 534, 6293, 540, 2123, 1379, 892, 630, 3495, 267, 667, 1740, 514, 1040, 16816, 6320, 519, 1433, 9356, 593, 875, 3131, 517, 3459, 705, 2265, 532, 4961, 1310, 1010, 2132, 689, 24815, 538, 519, 476, 3192, 271, 338, 269, 1717, 267, 519, 2243, 3788, 729, 5345, 320, 513, 19121, 585, 519, 1004, 610, 14255, 633, 547, 1319, 3234, 3415, 563, 6635, 7217, 2088, 267, 899, 1082, 824, 2477, 538, 3162, 3013, 267, 632, 2114, 16377, 547, 581, 10363, 269, 7831, 1032, 950, 16377, 729, 4843, 547, 18322, 267, 519, 6069, 3656, 1436, 729, 13351, 1524, 269, 901, 1032, 16377, 568, 1586, 593, 519, 3349, 547, 581, 3656, 1242, 563, 312, 16518, 267, 594, 729, 3168, 693, 1250, 5172, 14861, 710, 31024, 7376, 779, 1128, 8183, 267, 543, 1352, 1185, 11540, 827, 513, 605, 31547, 13889, 3544, 540, 519, 3854, 269, 594, 267, 1373, 513, 5458, 19191, 267, 5433, 602, 594, 4769, 1406, 723, 513, 3903, 540, 2436, 610, 711, 547, 13889, 269, 634, 12557, 5249, 856, 267, 865, 594, 1185, 547, 979, 563, 763, 3141, 3141, 729, 4259, 593, 11370, 523, 657, 589, 2231, 267, 543, 8706, 1235, 941, 1818, 741, 729, 547, 519, 3854, 547, 13889, 269, 594, 723, 2760, 2938, 513, 13889, 607, 5863, 607, 713, 835, 269, 634, 1486, 22246, 941, 669, 13589, 282, 27120, 941 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 606, 25107, 267, 4612, 894, 267, 610, 2565, 5339, 5888, 2356, 1454, 10156, 543, 1447, 9836, 543, 6101, 982, 513, 12031, 610, 5098, 543, 2356, 269, 21261, 894, 1557, 593, 1319, 843, 320, 1759, 593, 3197, 7005, 3332, 1557, 786, 723, 513, 15040, 3209, 610, 627, 31295, 960, 12819, 1557, 593, 269, 589, 686, 814, 4371, 5001, 1557, 733, 3949, 585, 630, 921, 848, 4063, 602, 596, 798, 711, 991, 547, 4704, 1022, 3606, 1570, 824, 982, 519, 8655, 3209, 547, 2328, 707, 1557, 563, 13625, 593, 1433, 281, 513, 14951, 2777, 540, 1702, 2835, 616, 8748, 13344, 547, 18495, 2835, 616, 3730, 538, 1082, 2081, 789, 13599, 267, 7038, 543, 4196, 607, 1434, 269, 634, 8373, 609, 12819, 3594, 606, 12819, 1557, 1522, 3100, 1360, 2653, 547, 2328, 693, 1101, 596, 723, 513, 1448, 543, 513, 4831, 4812, 1287, 596, 8044, 707, 2990, 269, 4828, 585, 4259, 3594, 281, 936, 476, 5197, 267, 1822, 1557, 585, 4259, 3594, 267, 1557, 585, 4259, 2165, 4574, 267, 1557, 585, 4259, 1382, 1957, 267, 1433, 5359, 476, 7277, 476, 31275, 3594, 267, 2165, 563, 9349, 8039, 616, 1271, 11378, 883, 513, 9962, 1062, 540, 4081, 13629, 2390, 799, 519, 4081, 3924, 568, 1623, 321, 3999, 1227, 8200, 267, 543, 538, 513, 3105, 4876, 269, 18482, 540, 1863, 7005, 3332, 3594, 910, 649, 723, 5215, 540, 1863, 3594, 2066, 513, 2647, 2039, 540, 1641, 2127, 3732, 7005, 3332, 3594, 269, 1548, 713, 30453, 568, 827, 713, 30453, 6257, 930, 3268, 585, 4058, 543, 1603, 4574, 827, 5708, 5931, 585, 1344, 593, 1603, 827, 824, 5686, 540, 269, 1215, 547, 2328, 513, 2143, 1557, 476, 274, 2429, 519, 3209, 267, 1614, 4162, 616, 2404, 609, 11350, 320, 267, 1200, 5898, 267, 1200, 2648, 540, 2724, 543, 1200, 1434, 2470, 563, 32487, 543, 2165, 4574, 616, 5402, 5697, 676, 9344, 11232, 585, 4081, 1382, 543, 11239, 891, 5207, 2298, 4574, 616, 5097, 2854, 676, 1053, 543, 269, 1403, 596, 991, 948, 1603, 606, 1557, 593, 513, 1433, 267, 596, 723, 2097, 547, 519, 1318, 1747, 1634, 849, 607, 5339, 3594, 267, 1346, 3594, 593, 513, 1433, 666, 581, 1226, 730, 811, 610, 1447, 547, 513, 269, 700, 17999, 1863, 3594, 6538, 281, 936, 476, 5197, 267, 1822, 3594, 267, 2165, 4574, 267, 1382, 1957, 267, 1433, 5359, 476, 8146, 267, 276, 4792, 3594, 267, 2165, 543, 1382, 4574, 2139, 585, 19957, 1569, 269, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 519, 3209, 3717, 3594, 563, 288, 3391, 547, 1603, 519, 5339, 2079, 1557, 1775, 4367, 281, 519, 1101, 5037, 538, 707, 1557, 630, 5228, 519, 1433, 596, 616, 7421, 610, 1776, 2707, 269, 589, 1433, 2689, 568, 513, 2565, 4879, 540, 513, 1433, 621, 6257, 543, 27786, 519, 2298, 543, 4644, 540, 513, 1433, 543, 1281, 711, 8806, 9034, 1047, 519, 1543, 269, 5131, 3209, 4574, 267, 3594, 267, 543, 1382, 4574, 891, 2164, 616, 15044, 676, 1034, 4143, 1101, 630, 17213, 539, 3406, 264, 596, 949, 849, 4990, 891, 676, 2681, 12773, 610, 1557, 269, 634, 2565, 1557, 568, 581, 1808, 827, 519, 2798, 596, 616, 1818, 827, 519, 3209, 267, 1404, 267, 6648, 267, 610, 1557, 596, 616, 7234, 543, 1394, 909, 1346, 2798, 609, 2963, 563, 13625, 593, 3209, 281, 1863, 1806, 540, 3594, 267, 1382, 543, 2165, 4574, 1806, 540, 3209, 1557, 3584, 267, 2055, 543, 5098, 2893, 622, 906, 269, 589, 1900, 8386, 9912, 3391, 547, 1603, 606, 2500, 2947, 24733, 4588, 6249, 1957, 585, 1175, 827, 1022, 1164, 1153, 610, 2852, 3209, 1557, 827, 1022, 1433, 538, 7005, 1362, 269, 4855, 513, 266, 3594, 267, 1382, 4574, 267, 1433, 4967, 267, 1576, 4967, 543, 1603, 4388, 6634, 540, 1053, 946, 1353, 332, 1712, 547, 7914, 11034, 741, 10467, 269, 0, 6637, 476, 279, 910, 1210, 3742, 1565, 538, 519, 4928, 2985, 476, 10602, 6044, 693, 535, 24175, 25156, 476, 1001, 272, 946, 3742, 1565, 3741, 547, 1020, 2238, 585, 707, 1053, 602, 1655, 2992, 1312, 707, 1378, 3450, 2511, 543, 3742, 3742, 1565, 538, 910, 1492, 4928, 281, 2073, 2073, 2073, 2073, 269, 4804, 6364, 281, 1053, 786, 581, 2111, 547, 1711, 513, 20438, 3406, 4640, 538, 1931, 547, 3406, 585, 1344, 3927, 4879, 281, 2285, 1053, 476, 1015, 3764, 547, 6292, 909, 543, 948, 1142, 824, 1020, 930, 2009, 20438, 19707, 593, 741, 3584, 543, 2119, 873, 856, 1289, 593, 873, 547, 2671, 741, 2994, 609, 519, 1362, 630, 5562, 270, 7219, 20469, 264, 476, 273, 563, 763, 1739, 6898, 616, 1644, 547, 3670, 1883, 2035, 540, 2034, 25082, 11601, 2638, 519, 3283, 596, 1589, 616, 3020, 18756, 1565, 2516, 616, 835, 1259, 585, 30226, 619, 547, 4309, 15792, 3403, 543, 3977, 575, 2117, 807, 4767, 602, 1010, 14248, 338, 5249, 1454, 9875, 538, 741, 1543, 268, 19327, 5396, 865, 602, 789, 1223, 581, 606, 3742, 851, 540, 741, 563, 288, 3059, 1565, 2230, 585, 707, 10453, 543, 513, 32367, 585, 596, 267, 865, 602, 596, 666, 3406, 267, 1544, 267, 21138, 543, 2708, 782, 538, 835, 1747, 269, 15765, 1565, 5624, 1489, 5698, 543, 5872, 23032, 676, 5374, 13826, 1765, 513, 2518, 2754, 602, 3302, 999, 11647, 2472, 1765, 10472, 32367, 786, 1397, 875, 547, 1711, 519, 1034, 2500, 22537, 1565, 5054, 547, 2743, 519, 9687, 2115, 540, 1053, 543, 7855, 563, 7468, 514, 3321, 540, 2937, 1565, 3040, 991, 547, 917, 875, 4079, 1451, 1655, 3040, 2937, 6267, 723, 2027, 2115, 3040, 3670, 4162, 540, 2937, 6267, 3741, 540, 2937, 1565, 3040, 991, 547, 917, 875, 4079, 1451, 1655, 3040, 2937, 6267, 723, 2027, 2115, 3040, 3670, 4162, 540, 2937, 6267, 269, 4828, 827, 3742, 1565, 476, 272, 8418, 1867, 562, 23263, 476, 4905, 1641, 281, 2034, 1893, 11601, 6221, 281, 10962, 2034, 1893, 11601, 3742, 1565, 1107, 3184, 562, 23263, 476, 4905, 3742, 1565, 476, 272, 269, 661, 546, 1775, 512, 522, 678, 2433, 678, 522, 521, 513, 562, 524, 513, 536, 561, 552, 562, 522, 642, 552, 544, 536, 552, 678, 476, 273, 476, 271, 476, 272, 476, 278, 1565, 998, 2835, 267, 2923, 267, 543, 2029, 4688, 519, 7389, 281, 27095, 5324, 476, 272, 268, 275, 267, 476, 1001, 279, 4557, 11535, 561, 17690, 7711, 344, 846, 332, 924, 585, 811, 1344, 827, 524, 338, 5055, 10554, 267, 3643, 524, 16435, 534, 564, 1317, 8418, 786, 723, 547, 2628, 585, 1022, 8900, 11623, 269, 654, 2346, 5562, 14048, 18350, 1260, 563, 6097, 547, 519, 6280, 540, 1295, 16121, 781, 4099, 585, 3450, 543, 1565, 267, 3742, 1565, 568, 606, 14292, 1935, 538, 799, 519, 1053, 4497, 519, 1570, 789, 1353, 998, 2542, 267, 1603, 267, 6158, 267, 6947, 543, 10452, 269, 6796, 1377, 11650, 1224, 519, 1793, 553, 547, 1451, 827, 938, 15399, 830, 18715, 543, 29987, 5491, 4507, 519, 3028, 1377, 6876, 630, 338, 5055, 264, 6257, 2890, 7809, 779, 19647, 585, 15399, 830, 543, 14479, 563, 30874, 1565, 3322, 3246, 3255, 585, 588, 340, 268, 546, 757, 547, 25006, 2911, 543, 6432, 267, 2328, 267, 1224, 267, 543, 2992, 593, 519, 1543, 267, 2093, 267, 2152, 267, 543, 4145, 540, 606, 4081, 563, 21093, 3323, 609, 7005, 1893, 6267, 676, 4140, 773, 18720, 5886, 3349, 540, 9115, 3184, 476, 272, 1883, 2035, 540, 2034, 25082, 11601, 1082, 2442, 4978, 827, 2034, 1893, 11601, 616, 10419, 18050, 538, 938, 2486, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8080, 547, 713, 3184, 782, 827, 875, 4213, 946, 1344, 2029, 630, 3951, 264, 543, 4383, 4220, 2404, 609, 621, 256, 1411, 1522, 581, 11842, 1018, 8668, 1256, 1797, 910, 1134, 267, 1589, 827, 782, 519, 5904, 267, 11436, 267, 543, 824, 3059, 3457, 602, 596, 946, 1169, 1554, 269, 2353, 1346, 1919, 2887, 896, 519, 22597, 540, 8668, 269, 1656, 1175, 899, 875, 596, 991, 547, 1491, 1416, 540, 707, 1378, 3457, 865, 789, 1810, 1405, 2736, 610, 1205, 11360, 539, 267, 4213, 991, 547, 798, 519, 1482, 3364, 609, 741, 8668, 1949, 780, 3719, 5883, 8668, 666, 581, 2731, 7294, 267, 2523, 950, 596, 2015, 782, 519, 1114, 2694, 602, 979, 883, 1818, 621, 960, 269, 2334, 781, 1141, 1945, 1572, 834, 32474, 2359, 257, 2501, 538, 269, 11310, 2359, 568, 513, 1259, 585, 4213, 547, 10891, 543, 1174, 782, 519, 1114, 4773, 602, 1118, 909, 741, 8668, 1949, 267, 1519, 519, 1004, 945, 946, 873, 543, 519, 3157, 789, 1246, 269, 1635, 3257, 713, 267, 4213, 666, 2061, 2042, 1354, 789, 4755, 543, 4431, 3533, 952, 4376, 1281, 979, 4636, 780, 3080, 1271, 2856, 538, 1702, 2359, 568, 1945, 1572, 834, 17882, 545, 1981, 2359, 1701, 3590, 545, 1981, 2359, 568, 782, 827, 3168, 693, 519, 2462, 4605, 543, 23115, 856, 875, 1114, 2694, 540, 519, 1062, 1522, 1860, 1142, 824, 269, 1280, 1383, 267, 4952, 513, 4737, 540, 2531, 3626, 525, 7555, 20005, 269, 1403, 596, 22545, 936, 835, 2531, 3626, 267, 621, 786, 2693, 2014, 782, 519, 1866, 547, 2887, 1524, 1932, 269, 2334, 781, 1317, 972, 781, 513, 2078, 1063, 519, 2531, 3626, 525, 910, 789, 2811, 782, 4448, 269, 6684, 267, 972, 616, 4296, 1063, 1114, 2694, 540, 513, 1870, 781, 8668, 1062, 267, 543, 2242, 538, 835, 1858, 666, 723, 678, 21451, 2360, 2429, 519, 2898, 1062, 780, 5194, 1883, 1523, 538, 1702, 2359, 568, 519, 2856, 540, 834, 2784, 673, 19944, 6681, 1689, 1701, 26023, 267, 713, 1797, 602, 3006, 2731, 2462, 543, 6397, 1919, 666, 4755, 602, 4625, 1689, 519, 1259, 513, 1062, 1568, 269, 6056, 1394, 547, 519, 5046, 268, 866, 6855, 910, 18864, 4718, 602, 4947, 267, 543, 621, 3361, 5458, 21463, 547, 6266, 540, 1114, 1949, 1472, 519, 1158, 269, 1879, 891, 5686, 540, 2242, 4755, 267, 4213, 991, 547, 581, 2111, 547, 3082, 3533, 543, 4137, 856, 1007, 2081, 540, 2324, 780, 1103, 1249, 267, 930, 4966, 3494, 602, 649, 2811, 7487, 811, 543, 811, 540, 891, 834, 18872, 2220, 534, 257, 2621, 910, 11207, 6397, 20825, 602, 723, 2101, 5222, 269, 1452, 2621, 666, 581, 2182, 547, 3589, 1210, 2757, 2409, 267, 799, 1419, 7048, 593, 2250, 1239, 547, 9472, 2104, 3466, 269, 1809, 676, 2921, 513, 811, 11455, 543, 6422, 1935, 547, 1620, 741, 8668, 1949, 267, 4213, 666, 1831, 1732, 9280, 547, 6023, 891, 26208, 780, 3383, 1946, 568, 782, 713, 1271, 286, 4270, 267, 1589, 827, 875, 1454, 649, 7048, 593, 2029, 538, 938, 3232, 2729, 269, 3245, 19280, 1426, 547, 6158, 609, 2828, 547, 1565, 1007, 1983, 267, 2029, 2306, 513, 2603, 540, 1919, 2009, 602, 1131, 6382, 581, 2352, 610, 7543, 269, 3767, 4952, 952, 782, 1346, 2645, 10393, 11074, 2324, 910, 621, 1131, 581, 14784, 256, 2334, 781, 1946, 4213, 991, 547, 1118, 2386, 741, 8668, 1949, 616, 2178, 543, 14388, 267, 865, 789, 666, 1832, 3246, 519, 5370, 543, 2533, 649, 782, 4096, 593, 780, 3528, 4974, 1702, 2359, 543, 11528, 1981, 2359, 267, 596, 3513, 1451, 875, 4213, 666, 798, 4010, 602, 269, 1411, 3513, 2263, 1483, 8996, 1806, 540, 3549, 602, 723, 5185, 2591, 543, 2097, 856, 6793, 593, 519, 824, 2427, 269, 1656, 2059, 519, 1259, 267, 596, 3513, 2744, 3407, 4030, 883, 875, 1950, 1949, 960, 267, 543, 875, 547, 6330, 10462, 538, 606, 2479, 19145, 1158, 269, 1924, 1577, 781, 4685, 538, 543, 1376, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2414, 4434, 3564, 519, 10770, 476, 3583, 260, 266, 5821, 3928, 540, 8668, 5867, 5103, 2810, 30483, 540, 8668, 267, 649, 2919, 519, 13654, 4493, 540, 519, 1702, 2359, 607, 513, 9015, 540, 11528, 1981, 2359, 585, 5054, 6353, 676, 9097, 19944, 6681, 1689, 269, 1230, 2425, 550, 1570, 569, 1713, 2621, 538, 938, 5943, 616, 711, 1152, 3810, 1561, 321, 762, 855, 849, 3810, 20437, 1759, 593, 519, 2757, 7954, 543, 2409, 585, 12605, 1759, 2390, 3140, 1239, 269, 769, 519, 21987, 540, 519, 2518, 2883, 6433, 540, 476, 1220, 278, 268, 1220, 279, 267, 971, 3810, 1561, 321, 762, 2621, 723, 1044, 2442, 1242, 607, 1412, 18872, 2220, 753, 262, 607, 3957, 1310, 513, 1870, 1655, 5498, 28705, 540, 519, 1482, 2012, 269, 901, 6198, 17565, 568, 519, 1101, 547, 1020, 2620, 11455, 630, 22372, 593, 1412, 17882, 338, 3206, 10807, 543, 6422, 630, 22372, 593, 1412, 17882, 6384, 10807, 1620, 827, 519, 1004, 3491, 947, 14482, 9592, 3347, 585, 1870, 2773, 543, 814, 609, 6365, 519, 1449, 540, 942, 269, 1306, 1412, 3951, 262, 3587, 811, 540, 513, 20161, 543, 1439, 15735, 609, 811, 1950, 1412, 335, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5319, 11602, 540, 6355, 543, 5004, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 13129, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 279, 281, 5516, 15130, 3194, 910, 29955, 24771, 20661, 14970, 4256, 7454, 22032, 692, 5331, 596, 723, 513, 6264, 8001, 945, 2729, 2484, 2476, 269, 1358, 2811, 2348, 8373, 2921, 1416, 540, 2933, 1317, 789, 2811, 3478, 4587, 543, 4466, 3232, 4247, 811, 2352, 269, 1411, 1616, 873, 547, 2661, 25747, 543, 9108, 267, 855, 875, 666, 596, 948, 286, 901, 568, 1141, 11928, 1516, 1382, 2501, 883, 1404, 256, 2913, 781, 2263, 1018, 713, 2361, 14122, 543, 1946, 621, 781, 865, 1271, 780, 1262, 1432, 568, 5516, 15130, 3194, 15140, 22512, 15130, 1382, 6212, 593, 4974, 2081, 649, 666, 4217, 2043, 945, 991, 948, 609, 4948, 2238, 1813, 547, 2085, 5829, 2591, 269, 1452, 2238, 1522, 1331, 5986, 6980, 267, 19551, 20499, 267, 3001, 1472, 267, 610, 9363, 4448, 609, 6068, 3283, 269, 1635, 1565, 827, 891, 2591, 267, 3173, 899, 12448, 14520, 8243, 603, 543, 5981, 631, 8811, 841, 573, 529, 960, 1927, 547, 1020, 2645, 543, 2994, 547, 2087, 20650, 262, 2298, 540, 1272, 543, 2226, 741, 7115, 780, 1262, 3963, 6496, 898, 17460, 15140, 2026, 1004, 1332, 4587, 267, 930, 949, 3068, 2168, 543, 2790, 2242, 602, 1860, 741, 2702, 547, 1491, 1416, 540, 2933, 10446, 269, 2755, 3885, 1419, 1900, 909, 547, 1489, 9972, 2818, 267, 7463, 2200, 543, 5499, 2029, 666, 7494, 4324, 1312, 519, 11361, 543, 1346, 12391, 585, 873, 269, 3414, 6297, 1353, 543, 5698, 1063, 4966, 267, 11928, 1516, 1382, 2337, 1711, 5363, 19269, 267, 3292, 267, 543, 2533, 2966, 4481, 585, 20650, 543, 741, 15637, 780, 1262, 1692, 1772, 5303, 13242, 538, 5516, 15130, 15140, 20007, 1670, 10124, 666, 3648, 3986, 20650, 262, 3106, 267, 1514, 4296, 267, 543, 2949, 1134, 5630, 269, 1280, 1383, 267, 28707, 3457, 971, 607, 2564, 10332, 1949, 1450, 20650, 547, 1289, 585, 6351, 952, 2877, 269, 7305, 1206, 9280, 609, 3593, 7888, 8924, 5512, 20650, 547, 1921, 609, 1920, 543, 2828, 3362, 998, 3381, 7125, 610, 20261, 5867, 269, 12829, 5321, 609, 12747, 8654, 543, 2837, 1852, 666, 2327, 2922, 2713, 2175, 1256, 950, 10688, 3587, 3908, 780, 11101, 267, 18951, 15274, 2709, 3929, 1489, 543, 5000, 5872, 1851, 9678, 20650, 269, 17791, 8234, 5867, 5512, 6552, 4387, 11564, 267, 4227, 2951, 942, 543, 3246, 4443, 1569, 547, 3782, 4648, 269, 2060, 4797, 1382, 267, 3744, 3136, 12423, 3209, 3096, 585, 2029, 602, 8597, 547, 1585, 3344, 540, 20650, 262, 2729, 780, 1262, 20685, 673, 19047, 4373, 2691, 3384, 6639, 3435, 585, 20650, 267, 3173, 1590, 2015, 1896, 5683, 2188, 269, 2290, 1883, 3390, 3322, 7834, 4145, 2404, 609, 10655, 6213, 1344, 3842, 3059, 3457, 269, 23496, 5150, 1239, 4859, 543, 7829, 2853, 568, 2629, 547, 2149, 3755, 262, 2123, 3877, 269, 6271, 6161, 25856, 1472, 2436, 1007, 2029, 786, 5372, 1480, 3346, 2864, 982, 7393, 621, 269, 22367, 6362, 513, 3666, 1063, 8508, 2029, 543, 8497, 9758, 4205, 3788, 1898, 269, 14936, 267, 26622, 4249, 513, 1713, 1909, 2094, 1082, 20650, 2291, 593, 6378, 26038, 269, 15531, 1942, 15807, 2409, 547, 2936, 543, 15814, 2029, 568, 4105, 585, 7839, 10073, 780, 1262, 8777, 1645, 8479, 9650, 338, 538, 5516, 15130, 3194, 4373, 15987, 1869, 3833, 1762, 267, 596, 1932, 666, 3565, 9797, 547, 11928, 1516, 1382, 256, 11559, 29076, 3347, 676, 24749, 693, 2199, 8808, 5321, 610, 10283, 538, 2146, 2621, 5059, 593, 20650, 269, 9523, 707, 10509, 1983, 609, 4587, 14077, 267, 4543, 873, 6330, 16389, 267, 14342, 267, 610, 5904, 269, 3958, 267, 2769, 1022, 3860, 2093, 596, 949, 723, 3823, 1761, 18563, 610, 9283, 602, 1223, 5351, 20650, 543, 741, 15637, 269, 2659, 4195, 5133, 5916, 609, 6568, 2509, 938, 10172, 2551, 814, 10373, 1871, 2439, 3528, 5807, 7279, 543, 8296, 2038, 593, 267, 2221, 781, 6107, 666, 1831, 14182, 781, 3401, 538, 12908, 26585, 543, 11928, 1516, 1382, 269, 8625, 267, 1577, 781, 3337, 513, 17321, 2104, 1141, 782, 5481, 8853, 22524, 2570, 1836, 267, 6462, 676, 5969, 12967, 2029, 543, 16135, 538, 2178, 1480, 4296, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 302, 1777, 11867, 3045, 25555, 1269, 3607, 269, 277, 300, 585, 589, 12283, 8862, 21822, 3060, 454, 21938, 476, 275, 267, 476, 1001, 276, 454, 306, 7838, 3918, 312, 267, 645, 5861, 269, 1107, 10579, 540, 3557, 585, 7354, 12542, 7705, 654, 784, 9307, 602, 519, 17363, 2605, 6471, 2160, 1071, 21445, 589, 12283, 8862, 21822, 1382, 3060, 267, 9250, 538, 5412, 476, 1001, 275, 267, 786, 4309, 1269, 3607, 269, 277, 2929, 936, 2947, 1296, 607, 851, 540, 519, 5313, 2229, 779, 17978, 540, 2578, 637, 540, 28742, 630, 301, 4753, 264, 1982, 563, 17803, 8862, 21822, 630, 288, 3101, 24553, 2685, 2066, 2037, 4921, 1210, 5303, 547, 8081, 25682, 267, 22580, 543, 7043, 5020, 264, 729, 2813, 547, 4434, 519, 1072, 543, 1134, 5630, 540, 4587, 4079, 543, 5397, 10172, 1382, 267, 5647, 543, 2029, 4483, 2066, 519, 2197, 563, 2005, 786, 849, 2333, 1620, 827, 519, 2115, 543, 7375, 540, 4587, 4079, 543, 741, 15637, 267, 543, 1683, 3435, 1247, 5466, 519, 5683, 9431, 543, 824, 2152, 1472, 519, 10343, 540, 1007, 4066, 563, 4517, 4319, 14520, 8243, 603, 630, 335, 1112, 3293, 264, 689, 24700, 308, 543, 5981, 631, 8811, 841, 573, 529, 689, 519, 2160, 540, 17842, 616, 589, 12283, 8862, 21822, 779, 4745, 3621, 19971, 269, 14520, 8243, 603, 568, 8689, 540, 24700, 308, 779, 15168, 517, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 22512, 15130, 3194, 257, 607, 851, 540, 834, 24719, 13316, 1315, 15168, 26585, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1724, 281, 29790, 543, 21150, 617, 2939, 910, 29955, 2974, 14970, 14568, 22032, 2439, 5970, 596, 2479, 16545, 2348, 513, 7874, 8773, 3659, 945, 1223, 948, 596, 1745, 1732, 950, 596, 2811, 4743, 1524, 286, 2107, 6148, 1256, 4217, 707, 4387, 538, 2921, 1416, 540, 707, 1072, 286, 1306, 621, 7140, 856, 267, 3744, 616, 2324, 2182, 547, 1711, 891, 5363, 15274, 1572, 834, 25791, 11608, 10590, 1452 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1719, 547, 2070, 519, 2698, 1543, 538, 707, 5461, 1893, 454, 18704, 901, 9137, 454, 19688, 476, 1626, 268, 1704, 267, 476, 1001, 279, 29903, 267, 32329, 454, 18907, 476, 6860, 268, 4962, 267, 476, 1001, 279, 22768, 267, 7330, 454, 19751, 476, 2537, 268, 2190, 267, 476, 1001, 279, 17842, 267, 4516, 454, 19751, 476, 3066, 268, 1789, 267, 1001, 279, 5842, 12770, 267, 7330, 454, 19751, 476, 2420, 268, 2537, 267, 476, 1001, 279, 594, 30955, 267, 11894, 454, 268, 11192, 5784, 281, 476, 3422, 454, 268, 1496, 5804, 9638, 3016, 566, 4266, 2567, 476, 271, 268, 1001, 279, 910, 7325, 476, 2537, 267, 476, 1001, 279, 2639, 268, 16505, 6658, 676, 2070, 1826, 454, 268, 14103, 2985, 5784, 281, 476, 9692, 454, 268, 7300, 28085, 281, 476, 1704, 0, 763, 2530, 540, 9265, 543, 6561, 454, 289, 1675, 1751, 568, 17271, 547, 1272, 593, 3618, 855, 1382, 814, 3254, 7187, 476, 790, 1633, 781, 9265, 568, 32033, 693, 606, 24034, 2557, 7187, 476, 790, 1633, 781, 2067, 6561, 2306, 713, 851, 540, 519, 1158, 3982, 269, 26085, 4016, 547, 519, 3099, 540, 2713, 7103, 1369, 513, 2016, 1858, 513, 2101, 2601, 585, 519, 2530, 540, 9265, 568, 602, 2067, 9249, 616, 1373, 10032, 519, 4610, 796, 525, 1723, 781, 1158, 6561, 3135, 1982, 17767, 2127, 540, 2518, 2956, 269, 634, 562, 322, 5604, 540, 2825, 2069, 538, 519, 562, 322, 8257, 540, 1604, 543, 2067, 2200, 729, 3964, 547, 2333, 2825, 7924, 543, 2067, 9265, 568, 519, 9103, 1275, 540, 782, 1272, 568, 10562, 543, 519, 2530, 540, 513, 2582, 2249, 666, 26871, 828, 622, 269, 21784, 338, 547, 9265, 281, 513, 2013, 1353, 540, 17761, 2967, 1014, 5017, 676, 521, 23022, 737, 554, 21310, 7226, 26610, 267, 519, 1463, 2530, 540, 5078, 7226, 568, 711, 519, 1152, 1966, 824, 6561, 1982, 13475, 476, 274, 30900, 269, 634, 3618, 568, 20651, 676, 606, 6909, 1297, 540, 1114, 2713, 7068, 519, 2165, 602, 568, 1031, 547, 5581, 713, 15624, 540, 7103, 602, 1402, 3634, 1169, 7944, 540, 519, 4541, 267, 543, 602, 723, 9862, 1256, 547, 519, 1034, 3665, 5054, 267, 568, 9265, 610, 6211, 4763, 9265, 563, 22416, 3279, 781, 3084, 9265, 4640, 543, 2962, 1544, 630, 333, 2125, 777, 264, 5150, 3356, 538, 10300, 1154, 9265, 2530, 676, 476, 1708, 271, 543, 547, 1747, 621, 593, 513, 1576, 540, 6051, 476, 1708, 271, 538, 1489, 540, 4731, 3279, 781, 2067, 6561, 269, 2622, 6561, 543, 9265, 5726, 540, 5117, 8699, 543, 9265, 7580, 1544, 585, 9265, 476, 1001, 272, 268, 1708, 271, 543, 519, 513, 24734, 9072, 607, 519, 4493, 585, 10300, 1154, 543, 5555, 10941, 532, 519, 2530, 540, 9265, 540, 519, 4541, 269, 13363, 938, 6561, 5885, 2199, 6561, 2916, 1689, 5222, 593, 9265, 2916, 1689, 568, 10567, 547, 581, 519, 6574, 1279, 3856, 3463, 547, 9265, 538, 1082, 4525, 543, 568, 7396, 607, 513, 1883, 17116, 1184, 896, 519, 12219, 2249, 5726, 957, 476, 1960, 276, 543, 269, 3776, 9265, 960, 6212, 593, 519, 6402, 1063, 9265, 267, 5726, 543, 2199, 1004, 781, 24454, 269, 3245, 1164, 267, 2842, 344, 267, 16004, 531, 7733, 547, 6870, 27580, 2471, 799, 22426, 31210, 2249, 267, 519, 5087, 1286, 565, 2088, 10239, 2844, 930, 540, 519, 6574, 9265, 538, 5087, 13314, 269, 14086, 543, 9265, 538, 5045, 21562, 281, 7226, 568, 519, 2582, 7887, 2014, 540, 9265, 2530, 538, 5045, 21562, 543, 1454, 540, 519, 1158, 13822, 519, 4182, 781, 2686, 6561, 267, 2942, 5222, 593, 519, 1604, 563, 763, 581, 11232, 281, 4056, 540, 9265, 1985, 909, 267, 649, 6443, 2067, 6561, 2069, 11285, 546, 1511, 17708, 548, 585, 513, 10004, 827, 519, 8733, 543, 2686, 4644, 540, 519, 581, 11232, 519, 2530, 540, 581, 28316, 849, 5921, 513, 2530, 540, 9265, 269, 634, 2165, 2067, 6561, 2392, 919, 9265, 267, 543, 1797, 7168, 1454, 519, 1482, 3364, 930, 21656, 2530, 540, 9265, 711, 607, 5117, 12159, 855, 676, 7503, 547, 24735, 13387, 8134, 12779, 26585, 530, 5942, 568, 513, 535, 24655, 6197, 2146, 269, 13809, 540, 7686, 1853, 626, 344, 3618, 19380, 476, 272, 2249, 1169, 476, 736, 3764, 476, 1220, 547, 476, 4968, 2249, 829, 1554, 1341, 10030, 10030, 519, 1101, 4264, 9744, 2813, 585, 10300, 1154, 519, 2530, 540, 9265, 593, 3618, 269, 634, 15007, 593, 6211, 4763, 630, 322, 321, 323, 264, 11225, 9265, 607, 519, 13260, 540, 2713, 7068, 16220, 267, 14350, 543, 5117, 2647, 630, 322, 321, 323, 476, 1220, 277, 264, 609, 9271, 540, 476, 2004, 268, 5611, 269, 898, 2882, 1004, 910, 4630, 334, 18682, 16772, 910, 543, 621, 568, 513, 2518, 2067, 6561, 540, 1799, 29342, 9092, 1871, 2244, 12159, 543, 519, 2530, 540, 9265, 2200, 630, 1492, 2530, 540, 2067, 3854, 264, 568, 9648, 2066, 5045, 21562, 563, 5978, 5108, 814, 519, 13737, 3765, 325, 28232, 540, 2713, 1282, 734, 663, 4543, 547, 1711, 734, 320, 1974, 540, 6211, 5187, 2305, 5481, 689, 1631, 621, 786, 581, 2182, 585, 1004, 547, 5660, 1018, 814, 1044, 4503, 267, 855, 649, 723, 14034, 728, 16295, 585, 519, 2680, 621, 568, 8345, 1282, 938, 4585, 267, 513, 1249, 602, 786, 269, 6875, 2962, 910, 4070, 1018, 1198, 814, 519, 4070, 2872, 593, 9265, 6561, 543, 2199, 2229, 1590, 581, 711, 1881, 952, 17333, 614, 2530, 540, 7320, 23725, 832, 267, 7226, 2530, 543, 26610, 269, 26085, 5726, 910, 26868, 2359, 1576, 6859, 19126, 616, 3638, 538, 9265, 4057, 1646, 2853, 543, 20025, 2359, 540, 19126, 1419, 1291, 547, 12159, 543, 2530, 540, 9265, 538, 1082, 2477, 269, 15080, 543, 1344, 827, 9265, 267, 9265, 5726, 267, 9265, 2530, 267, 28326, 26105, 9265, 267, 9265, 538, 8134, 267, 9265, 2956, 676, 9265, 4621, 969, 725, 1830, 1260, 269, 26085, 13315, 519, 4763, 540, 1272, 910, 519, 8795, 543, 1114, 2249, 267, 6090, 543, 8134, 540, 519, 3618, 519, 5571, 2530, 540, 9265, 563, 763, 2530, 540, 9265, 543, 6561, 454, 20332, 6561, 910, 9265, 20017, 536, 603, 989, 338, 561, 25638, 9265, 2530, 6927, 621, 6927, 585, 5683, 267, 3929, 267, 2825, 543, 2804, 4128, 568, 9265, 896, 3463, 519, 3618, 781, 4719, 267, 7226, 543, 2249, 4763, 568, 896, 2810, 3463, 563, 268, 13809, 540, 9265, 9265, 543, 9542, 9265, 543, 789, 616, 26526, 1271, 538, 1514, 1894, 543, 5726, 540, 519, 2686, 6561, 679, 4593, 340, 7637, 1648, 543, 1604, 568, 513, 1788, 2196, 676, 679, 328, 547, 3895, 4656, 540, 1648, 543, 2825, 2152, 10838, 563, 268, 634, 562, 1873, 2229, 814, 5189, 519, 9265, 12948, 543, 13726, 1115, 10325, 630, 528, 1412, 6798, 984, 21403, 10807, 547, 948, 2232, 519, 2530, 540, 9265, 2418, 267, 1519, 12219, 2249, 563, 268, 634, 2495, 540, 9265, 267, 3564, 8847, 621, 666, 1205, 4503, 2530, 543, 5726, 1287, 513, 6561, 540, 2757, 917, 6011, 4171, 2479, 2810, 2956, 568, 17019, 676, 17801, 11893, 5505, 563, 268, 27511, 6915, 14426, 6561, 9265, 10357, 14426, 8916, 2686, 1812, 766, 2757, 543, 22232, 2359, 2530, 540, 9265, 543, 5251, 2298, 9663, 268, 750, 3467, 267, 689, 4683, 547, 6552, 267, 6917, 2127, 267, 8456, 547, 267, 543, 11994, 540, 269, 0, 1103, 476, 9965, 280, 267, 519, 9139, 540, 519, 1234, 553, 2514, 1557, 3584, 2276, 729, 32738, 269, 4173, 9583, 3501, 16538, 554, 573, 513, 24360, 543, 7184, 30223, 6891, 269, 589, 6251, 1413, 693, 1200, 6689, 543, 2123, 2833, 18788, 930, 3693, 540, 9814, 689, 1200, 12591, 269, 901, 786, 7520, 2500, 2359, 540, 891, 3906, 547, 4308, 609, 1514, 2042, 538, 519, 2136, 2276, 563, 2467, 616, 1082, 2081, 547, 1205, 873, 267, 1018, 3657, 2368, 6153, 1401, 1842, 7480, 4828, 11762, 286, 1677, 26256, 1125, 3054, 1732, 543, 547, 1831, 811, 1582, 267, 12819, 12591, 568, 513, 1808, 1826, 540, 513, 1957, 269, 2060, 519, 1646, 540, 519, 5769, 543, 2029, 267, 616, 4587, 543, 9921, 1004, 1732, 3237, 286, 27240, 655, 29794, 13462, 1053, 609, 1164, 267, 3610, 723, 547, 1246, 513, 7453, 10571, 3009, 610, 5957, 513, 9657, 1058, 581, 16601, 1946, 610, 1946, 711, 1557, 269, 1403, 596, 616, 2348, 13542, 3206, 540, 1018, 547, 2911, 827, 538, 707, 2376, 267, 938, 556, 553, 2514, 1557, 3584, 540, 3584, 543, 2152, 1284, 16432, 606, 29882, 1592, 540, 3584, 602, 1131, 1118, 5140, 1382, 4574, 269, 3657, 972, 538, 1453, 945, 616, 6659, 676, 556, 553, 2514, 1557, 3584, 267, 1058, 519, 17040, 2872, 581, 7142, 547, 946, 6915, 30669, 888, 2080, 568, 519, 1592, 585, 1346, 267, 3976, 596, 666, 2638, 519, 2298, 540, 519, 1257, 543, 519, 5340, 1382, 18622, 553, 2514, 1557, 3584, 1557, 3584, 454, 16521, 689, 556, 553, 2514, 1557, 3584, 3099, 540, 21120, 3681, 281, 476, 274, 2443, 9668, 540, 5939, 543, 1533, 5288, 269, 10049, 543, 2409, 267, 1776, 4277, 6249, 585, 12819, 1957, 568, 519, 1646, 540, 2029, 543, 922, 1198, 593, 938, 1272, 269, 1677, 1018, 6708, 568, 1582, 1107, 798, 1053, 723, 9657, 1058, 581, 16601, 1946, 610, 1946, 711, 1557, 5957, 519, 7833, 950, 789, 7390, 1153, 563, 7617, 596, 2097, 2066, 538, 782, 21363, 693, 519, 11824, 1557, 538, 4880, 269, 7994, 1234, 553, 2514, 1557, 3584, 28968, 547, 13159, 2659, 5675, 570, 3696, 256, 1548, 616, 707, 1279, 267, 4881, 568, 9863, 547, 581, 14432, 563, 3725, 553, 2514, 1557, 3584, 454, 10915, 29193, 1557, 9623, 1557, 3584, 4517, 824, 4081, 10467, 269, 1234, 553, 2514, 1557, 3584, 556, 553, 2514, 1557, 3584, 616, 711, 13854, 609, 519, 2298, 540, 513, 22434, 1957, 267, 1018, 2306, 519, 3531, 2988, 639, 513, 2189, 543, 4277, 25850, 286, 1677, 7866, 707, 2189, 7209, 547, 1004, 267, 1775, 729, 6659, 547, 3494, 2806, 10407, 729, 4636, 269, 27565, 1143, 18252, 513, 1514, 4579, 607, 513, 12497, 4493, 689, 799, 5837, 7744, 666, 581, 2808, 1175, 269, 28651, 856, 20471, 3842, 6049, 267, 6382, 596, 1522, 1205, 19252, 610, 21616, 1247, 3843, 547, 5531, 1344, 563, 763, 19692, 596, 1931, 267, 798, 9114, 18785, 4255, 8308, 3313, 5168, 995, 6898, 286, 1656, 12358, 21161, 543, 12312, 267, 1281, 519, 2486, 3970, 1480, 21363, 693, 519, 11824, 1557, 286, 634, 19692, 596, 2628, 547, 2328, 606, 1557, 267, 798, 10795, 3381, 3756, 556, 553, 2514, 1557, 3584, 2623, 2042, 888, 3725, 553, 2514, 1557, 3584, 9657, 1058, 581, 16601, 1946, 610, 1946, 711, 1557, 12199, 676, 519, 1390, 3751, 8402, 2473, 4353, 267, 519, 1977, 2486, 568, 519, 1383, 540, 519, 1034, 3811, 1062, 269, 3657, 649, 1932, 8200, 593, 5904, 286, 1215, 729, 713, 20582, 538, 1142, 2013, 267, 945, 568, 27388, 519, 6764, 29993, 543, 1018, 568, 1010, 4276, 547, 4032, 19537, 1529, 320, 286, 0, 291, 520, 5202, 281, 476, 276, 5147, 476, 10204, 273, 267, 15740, 269, 4658, 538, 519, 1715, 2622, 2219, 621, 1655, 547, 605, 8010, 1200, 15596, 538, 1931, 547, 1683, 585, 741, 1378, 20237, 543, 1106, 513, 17740, 807, 1996, 12289, 543, 585, 3656, 4128, 563, 291, 520, 5202, 281, 15740, 267, 476, 272, 8734, 476, 12739, 280, 281, 634, 7027, 9840, 875, 5261, 543, 6307, 2968, 3751, 543, 10348, 269, 2913, 779, 6432, 538, 593, 513, 2282, 268, 14620, 520, 574, 16606, 540, 741, 4901, 593, 602, 1554, 563, 291, 520, 5202, 281, 476, 1556, 2904, 476, 12739, 276, 281, 9320, 519, 2372, 5474, 2219, 621, 929, 644, 550, 547, 8956, 519, 1007, 4622, 269, 1809, 972, 729, 513, 1966, 1700, 20130, 4984, 563, 1607, 2022, 4422, 689, 476, 11260, 276, 547, 476, 8687, 275, 543, 6227, 12425, 267, 519, 1152, 1533, 1141, 789, 5030, 269, 589, 1289, 585, 513, 27550, 1633, 1920, 6426, 568, 5018, 538, 713, 2022, 563, 291, 520, 5202, 281, 15740, 267, 476, 1556, 5147, 476, 15433, 274, 269, 4563, 10437, 1558, 1927, 538, 15740, 593, 519, 1101, 1554, 630, 306, 1495, 599, 264, 540, 519, 3018, 543, 15151, 22841, 519, 4708, 269, 1215, 1705, 519, 2372, 5474, 28728, 1524, 888, 291, 520, 5202, 281, 476, 15433, 275, 267, 15740, 269, 634, 9998, 4892, 267, 1256, 12560, 2372, 5474, 267, 6462, 519, 2669, 15163, 20196, 779, 585, 2386, 563, 291, 520, 5202, 281, 476, 12739, 275, 267, 519, 2372, 5474, 5431, 875, 6225, 1857, 2069, 568, 269, 2107, 729, 621, 4357, 2069, 888, 763, 27672, 976, 267, 1256, 1498, 835, 540, 873, 6039, 538, 519, 5207, 1377, 540, 12425, 779, 28393, 1017, 6554, 267, 941, 1360, 14524, 531, 269, 1452, 5638, 979 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 661, 4211, 558, 12692, 630, 6635, 27700, 5600, 8950, 8232, 10022, 264, 8950, 8232, 17943, 670, 22326, 281, 10670, 1676, 547, 16869, 6651, 547, 8950, 670, 22326, 267, 9978, 8232, 267, 543, 6755, 564, 1674, 13281, 630, 20663, 3163, 10022, 264, 670, 22326, 281, 8950, 670, 22326, 585, 14987, 267, 875, 547, 11360, 267, 543, 1620, 2780, 3354, 256, 14069, 18361, 281, 4804, 634, 17943, 2986, 14069, 14691, 630, 20663, 3163, 14691, 264, 630, 20663, 14691, 1280, 30488, 264, 15536, 5498, 2579, 540, 14662, 4696, 288, 543, 4033, 11633, 6513, 7010, 630, 18770, 1734, 538, 6176, 8232, 264, 634, 31597, 6651, 547, 31964, 8232, 281, 24344, 543, 2149, 707, 31964, 3896, 1106, 21190, 543, 2149, 707, 1239, 267, 1205, 909, 547, 4266, 3354, 10311, 8668, 8232, 5450, 7879, 281, 589, 19750, 17563, 585, 25732, 8232, 1299, 27986, 4578, 670, 22326, 281, 9978, 8232, 267, 6755, 564, 1674, 13281, 543, 1215, 547, 27725, 630, 327, 22326, 267, 875, 547, 11360, 267, 21774, 4152, 267, 2596, 3354, 267, 818, 18003, 267, 9226, 267, 4702, 264, 8232, 11150, 769, 12380, 15107, 13257, 1656, 10241, 630, 22033, 7010, 8232, 1299, 2667, 4269, 264, 3281, 2316, 288, 8232, 266, 6651, 547, 8416, 8232, 26386, 0, 1103, 824, 1913, 267, 2872, 521, 11466, 950, 782, 10909, 616, 15980, 1152, 3339, 12434, 269, 1809, 519, 2887, 538, 519, 2557, 540, 1719, 786, 1860, 519, 4320, 540, 9494, 28148, 563, 13295, 621, 2337, 538, 1620, 519, 21876, 540, 519, 4806, 540, 606, 4346, 269, 11554, 540, 519, 4937, 4982, 10329, 281, 634, 2557, 540, 5092, 786, 1689, 607, 1279, 607, 2799, 9494, 568, 4389, 543, 5092, 568, 2799, 547, 12492, 606, 11466, 1448, 563, 289, 746, 532, 814, 6045, 11979, 11466, 538, 891, 1913, 281, 898, 2337, 721, 538, 30228, 519, 3123, 540, 513, 1689, 538, 519, 3902, 540, 513, 1587, 610, 3028, 563, 2691, 3747, 4679, 547, 667, 272, 3902, 693, 2899, 22534, 909, 547, 20525, 276, 269, 13834, 7862, 610, 8635, 568, 513, 2186, 540, 1888, 602, 267, 547, 930, 6708, 267, 13315, 519, 30810, 540, 1480, 1995, 563, 2005, 568, 1152, 950, 519, 3664, 540, 18046, 540, 5370, 543, 2533, 3514, 538, 9985, 609, 519, 3664, 540, 23965, 602, 519, 2344, 568, 538, 2489, 11466, 269, 5980, 814, 2097, 513, 1279, 1259, 689, 519, 2395, 950, 2021, 941, 9833, 607, 1373, 2539, 1524, 519, 1646, 4336, 547, 2367, 563, 303, 1238, 6203, 616, 607, 6800, 2760, 957, 543, 1589, 7567, 269, 1280, 519, 10909, 267, 519, 5777, 540, 519, 11327, 2200, 540, 519, 1587, 543, 540, 824, 1644, 2472, 616, 1634, 267, 543, 3586, 563, 30356, 4398, 568, 693, 922, 5021, 865, 602, 2804, 10304, 540, 519, 2146, 568, 12366, 2213, 563, 2005, 14543, 547, 2491, 519, 4539, 540, 606, 2804, 19717, 538, 519, 2344, 602, 5012, 3761, 543, 3747, 2242, 267, 3001, 689, 835, 2344, 547, 1776, 543, 3976, 27510, 2034, 267, 3791, 543, 2362, 1931, 6329, 540, 1689, 538, 519, 3003, 4346, 563, 6097, 547, 3223, 29498, 267, 538, 513, 6198, 2631, 267, 3976, 267, 519, 7862, 1063, 5092, 543, 9494, 568, 513, 12343, 540, 2242, 538, 519, 1377, 540, 4747, 269, 5047, 267, 2188, 540, 2504, 616, 9985, 5985, 1063, 23909, 543, 4025, 563, 2005, 10522, 3501, 10103, 540, 519, 3664, 1500, 676, 782, 519, 2344, 5171, 269, 1403, 2724, 9494, 543, 5092, 7836, 616, 538, 11466, 267, 519, 4346, 786, 581, 538, 11466, 267, 585, 519, 3664, 540, 6800, 267, 1094, 951, 267, 9520, 267, 543, 11639, 786, 711, 1860, 2901, 538, 606, 2333, 610, 6175, 538, 7694, 267, 3977, 543, 2724, 4747, 563, 5194, 7820, 7015, 267, 570, 20207, 267, 9575, 519, 4576, 689, 1864, 543, 5747, 269, 769, 519, 2110, 24507, 267, 621, 666, 3132, 1256, 693, 513, 3902, 1447, 982, 922, 3328, 3790, 540, 2504, 267, 855, 538, 519, 1279, 24507, 519, 3902, 1590, 3160, 922, 5934, 1279, 24507, 3328, 3790, 700, 3722, 540, 2504, 563, 305, 1177, 3149, 17792, 602, 1010, 3741, 1058, 581, 865, 4294, 267, 14356, 593, 519, 12406, 602, 2829, 267, 7429, 4961, 267, 941, 1582, 1606, 11211, 538, 519, 18756, 16904, 602, 13822, 6469, 7239, 563, 27908, 543, 20913, 14100, 539, 1243, 676, 15656, 6154, 17507, 14371, 2658, 7862, 543, 8635, 568, 606, 11212, 17618, 3989, 1858, 540, 1382, 269, 1403, 596, 2322, 513, 2370, 3787, 540, 2219, 883, 621, 596, 666, 2097, 909, 609, 1022, 1297, 540, 4241, 267, 3860, 543, 3312, 3584, 585, 707, 6644, 1557, 563, 763, 26321, 7126, 14821, 4828, 1548, 1223, 581, 811, 1271, 982, 519, 7862, 540, 2924, 585, 782, 1977, 4961, 286, 6468, 723, 6836, 1510, 1967, 585, 476, 3199, 1296, 547, 581, 17019, 607, 11224, 538, 938, 9139, 998, 606, 26321, 7126, 14821, 630, 2207, 288, 1040, 674, 697, 585, 25734, 4828, 634, 4339, 585, 7862, 10838, 519, 14447, 2146, 814, 1044, 513, 2101, 3390, 538, 2221, 779, 2486, 563, 4415, 2348, 519, 1482, 1480, 2924, 607, 1022, 1977, 2221, 971, 607, 281, 13359, 267, 5191, 540, 4984, 267, 5191, 540, 4633, 267, 543, 519, 5191, 540, 2348, 513, 2816, 267, 519, 1318, 585, 7862, 2115, 547, 269, 10374, 4828, 593, 13834, 32389, 269, 21145, 281, 4317, 12983, 538, 3127, 2201, 5181, 476, 1015, 267, 1635, 23819, 1662, 16422, 7559, 563, 13420, 1275, 1058, 581, 585, 782, 267, 7488, 540, 4008, 267, 2085, 267, 5198, 610, 22874, 269, 15526, 1058, 4971, 519, 1482, 2463, 267, 543, 2972, 519, 1482, 3255, 563, 6546, 1797, 18245, 2021, 1510, 28730, 543, 2760, 3206, 269, 21984, 3149, 13187, 602, 513, 2034, 6240, 540, 7862, 1131, 581, 8815, 2390, 547, 10018, 23118, 602, 2099, 6209, 3681, 585, 782, 538, 2486, 543, 2327, 2733, 5737, 5126, 269, 3627, 21984, 3149, 568, 519, 1641, 540, 589, 7869, 540, 10456, 281, 634, 634, 1957, 3724, 8591, 513, 3407, 1007, 4367, 543, 606, 1557, 11331, 834, 11847, 569, 547, 13206, 1069, 553, 8487, 5278, 21984, 3149, 269, 13834, 25734, 3594, 13420, 1275, 538, 2069, 568, 606, 1271, 3390, 267, 607, 4008, 7862, 4808, 2087, 2069, 585, 1312, 2367, 543, 2021, 269, 634, 3804, 540, 3246, 1732, 2069, 585, 2021, 1281, 711, 1611, 10714, 532, 610, 1139, 7675, 2367, 563, 3528, 11093, 2367, 543, 2021, 593, 606, 3160, 1377, 267, 519, 5266, 1213, 6185, 5877, 0, 10111, 8510, 6233, 9502, 281, 17667, 7135, 7768, 540, 595, 267, 670, 543, 744, 609, 670, 543, 744, 1459, 538, 519, 1482, 5223, 607, 538, 1216, 269, 661, 3052, 269, 3794, 26651, 595, 277, 295, 1321, 302, 277, 269, 1401, 8526, 281, 1546, 20293, 14836, 971, 607, 681, 5069, 333, 846, 595, 277, 295, 1321, 302, 276, 267, 7857, 2135, 846, 595, 277, 295, 1321, 302, 275, 2368, 1875, 11950, 1246, 519, 4214, 281, 3600, 2045, 3679, 595, 273, 295, 275, 302, 273, 31131, 24957, 670, 29558, 700, 12519, 3679, 595, 274, 295, 277, 302, 274, 1715, 4214, 281, 8838, 1227, 3742, 12443, 5139, 32611, 620, 1372, 5139, 525, 610, 11337, 2158, 267, 610, 6878, 602, 29230, 2763, 547, 6556, 4874, 5139, 32611, 620, 1372, 5139, 525, 610, 11337, 2158, 269, 2961, 8510, 6233, 6348, 4149, 1872, 1513, 630, 21691, 903, 30828, 264, 590, 1872, 1513, 630, 306, 30828, 264, 2859, 982, 476, 1015, 4006, 1770, 525, 3933, 657, 30828, 744, 5554, 657, 30828, 630, 274, 268, 476, 1015, 1770, 525, 264, 2598, 30828, 10222, 4680, 552, 3052, 269, 717, 22318, 531, 24957, 2558, 529, 30828, 552, 3052, 269, 681, 3530, 514, 846, 31679, 549, 4513, 552, 3052, 269, 661, 787, 29006, 19999, 4680, 552, 3052, 269, 6259, 514, 846, 1261, 343, 4680, 26805, 32587, 846, 631, 5306, 846, 8426, 756, 328, 846, 6348, 7304, 14445, 532, 590, 1075, 13427, 31679, 6652, 30828, 19999, 553, 30828, 25548, 334, 28411, 324, 4680, 3794, 26651, 918, 16587, 28411, 324, 4680, 674, 28229, 6348, 4149, 1872, 1513, 630, 21691, 903, 30828, 264, 2859, 982, 476, 1015, 4006, 1770, 525, 13067, 641, 565, 903, 30828, 4591, 657, 30828, 1261, 343, 657, 6951, 3794, 1075, 657, 753, 853, 1105, 31946, 322, 4094, 8426, 21695, 1546, 868, 337, 1231, 670, 2678, 641, 565, 903, 30828, 19999, 657, 753, 2473, 2643, 753, 674, 1192, 657, 753, 769, 6081, 717, 4548, 631, 1075, 559, 1137, 623, 624, 1231, 589, 3258, 22031, 18288, 13641, 3729, 8447, 16992, 16448, 281, 590, 1872, 1513, 616, 3043, 267, 26543, 538, 3337, 543, 609, 8325, 13621, 2798, 267, 1247, 30713, 30828, 616, 3043, 993, 6973, 748, 17571, 269, 570, 4292, 281, 590, 1872, 1513, 723, 513, 6653, 6492, 269, 2717, 903, 30828, 616, 13820, 6804, 269, 3752, 28169, 281, 3933, 657, 30828, 616, 19729, 538, 4411, 1216, 543, 3905, 4568, 269, 2717, 903, 30828, 616, 13148, 19729, 538, 3905, 1216, 269, 30677, 2534, 281, 589, 7623, 568, 1904, 1227, 3742, 950, 267, 538, 3070, 267, 621, 568, 5827, 547, 17967, 519, 7077, 540, 8701, 1242, 1769, 2901, 547, 1318, 630, 1372, 868, 2928, 582, 2218, 267, 1341, 610, 546, 264, 610, 547, 519, 2451, 630, 4582, 528, 582, 2218, 267, 910, 610, 561, 1040, 19162, 601, 24388, 1773, 2033, 8701, 1242, 1769, 16453, 1769, 634, 9804, 2534, 540, 513, 7623, 568, 6027, 676, 8990, 540, 922, 1808, 9804, 10047, 630, 667, 339, 264, 1210, 513, 8701, 9014, 267, 543, 7311, 519, 1739, 3830, 281, 667, 1839, 815, 1315, 9448, 7316, 281, 815, 10137, 540, 10047, 267, 700, 815, 3259, 540, 8546, 630, 2775, 2619, 264, 538, 1232, 9014, 267, 595, 815, 5834, 575, 1315, 6447, 267, 476, 1839, 815, 5665, 2837, 630, 339, 264, 538, 476, 271, 290, 267, 667, 815, 1899, 8552, 540, 9770, 1769, 630, 6812, 280, 16354, 1040, 17491, 568, 12002, 281, 1261, 343, 4680, 899, 7280, 723, 476, 275, 12623, 13240, 630, 24316, 531, 264, 16087, 976, 269, 7089, 540, 568, 12002, 666, 581, 7229, 689, 519, 4542, 281, 7089, 540, 568, 12002, 815, 476, 273, 333, 815, 476, 2190, 815, 476, 1626, 8863, 302, 2608, 8863, 27846, 2608, 32764, 8863, 2608, 8863, 27846, 2608, 8863, 27846, 8863, 273, 15121, 667, 543, 700, 538, 14836, 281, 589, 1395, 657, 21839, 728, 538, 799, 519, 27846, 1895, 7923, 547, 519, 3327, 11046, 1985, 547, 519, 8863, 273, 15121, 630, 325, 691, 4554, 12623, 13240, 3327, 11046, 689, 519, 3327, 2643, 1895, 264, 568, 2141, 547, 519, 1318, 568, 11280, 607, 513, 968, 291, 1606, 13610, 892, 543, 602, 609, 519, 1482, 27846, 547, 519, 2451, 607, 968, 299, 910, 338, 13610, 6100, 667, 543, 700, 1374, 725, 616, 899, 630, 305, 264, 543, 630, 306, 264, 1374, 725, 538, 602, 789, 616, 711, 8209, 1644, 547, 519, 9804, 32186, 540, 519, 14836, 547, 799, 789, 616, 4294, 269, 4935, 267, 835, 949, 7237, 14836, 602, 616, 667, 22791, 264, 610, 667, 11196, 264, 543, 1866, 602, 616, 700, 11196, 264, 610, 700, 22791, 1040, 8863, 302, 670, 8863, 302, 27846, 8863, 273, 15121, 667, 8566, 22318, 531, 24957, 32764, 670, 8863, 273, 15121, 700, 8566, 22318, 531, 24957, 910, 543, 910, 606, 12002, 540, 7280, 281, 1879, 14836, 896, 979, 7814, 1436, 595, 268, 272, 2968, 513, 1007, 11381, 531, 3327, 543, 1079, 568, 12002, 2291, 269, 1358, 616, 1572, 968, 1323, 12002, 6100, 769, 519, 910, 534, 9593, 519, 27846, 1895, 568, 9859, 17498, 728, 543, 538, 519, 910, 534, 9593, 568, 9859, 547, 519, 5580, 2427, 269, 1452, 1079, 3029, 723, 1114, 1808, 10047, 267, 538, 3070, 606, 552, 336, 592, 756, 8922, 608, 338, 527, 1063, 519, 1079, 3029, 630, 332, 583, 541, 21320, 7613, 1040, 670, 27846, 670, 27846, 670, 744, 32764, 32764, 670, 670, 476, 272, 670, 27846, 27846, 32764, 32764, 910, 6921, 1075, 4878, 3757, 657, 728, 17348, 3029, 476, 277, 670, 744, 670, 670, 670, 476, 272, 27846, 27846, 670, 910, 6921, 1075, 4878, 3757, 657, 728, 8863, 476, 273, 15121, 8863, 476, 273, 15121, 744, 670, 27846, 670, 670, 670, 476, 272, 27846, 27846, 670, 27846, 910, 6921, 1075, 4878, 3757, 657, 728, 670, 27846, 744, 27846, 670, 476, 272, 670, 27846, 670, 27846, 910, 6921, 1075, 4878, 3757, 657, 728, 8316, 2180, 30422, 23688, 541, 21320, 1879, 513, 4006, 568, 15702, 538, 1216, 267, 519, 1808, 10047, 540, 519, 3070, 7930, 2242, 2394, 621, 10301, 547, 513, 3586, 1871, 1813, 547, 11466, 1063, 519, 543, 3029, 269, 552, 3052, 269, 28448, 5423, 3070, 540, 910, 6921, 26651, 814, 513, 1808, 10047, 1341, 12208, 334, 269, 1879, 713, 3070, 568, 4847, 547, 1796, 519, 10047, 8813, 11489, 3914 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 552, 4211, 558, 12692, 454, 268, 681, 1321, 910, 12124, 267, 22798, 267, 13636, 267, 7464, 24529, 267, 543, 18815, 13188, 910, 910, 4937, 13636, 13188, 910, 910, 910, 12025, 543, 32085, 20518, 1903, 540, 13636, 9483, 11314, 282, 3955, 2958, 1308, 11780, 630, 11296, 11585, 994, 268, 681, 3953, 910, 12124, 267, 22798, 267, 13636, 267, 7464, 24529, 267, 543, 18815, 13188, 910, 910, 7464, 24529, 29714, 267, 32085, 13870, 5811, 267, 543, 674, 3305, 19715, 910, 910, 910, 4033, 32085, 13870, 543, 623, 878, 532, 5811, 454, 21292, 281, 4825, 841, 4087, 282, 8901, 6735, 282, 4903, 331, 558, 3130, 282, 8262, 13340, 8637, 454, 1607, 6221, 609, 6023, 1234, 14154, 322, 281, 325, 760, 281, 325, 539, 326, 10623, 281, 1001, 275, 268, 10037, 454, 529, 849, 7396, 593, 661, 935, 303, 3639, 454, 2690, 28303, 267, 3346, 24138, 16423, 16435, 9707, 20465, 0, 10890, 1416, 1700, 817, 18620, 5563, 616, 1271, 267, 1419, 28824, 267, 3123, 540, 4057, 4093, 543, 11991, 3790, 540, 2564, 1416, 269, 272, 1677, 2232, 713, 1857, 1072, 1966, 267, 3318, 7239, 267, 2298, 21553, 2889, 22777, 3906, 267, 20774, 1746, 4703, 267, 543, 5313, 28007, 26639, 543, 8041, 723, 9783, 4808, 543, 7840, 6322, 693, 7303, 891, 5563, 269, 273, 454, 1001, 272, 4455, 476, 1691, 910, 27851, 16457, 19541, 547, 16473, 29034, 27957, 268, 4910, 9665, 853, 20942, 19905, 28857, 32035, 454, 10890, 1416, 1700, 817, 18620, 5563, 609, 8715, 27957, 15033, 853, 20942, 19905, 28857, 630, 17307, 6347, 264, 723, 1044, 606, 2810, 6161, 538, 27851, 16457, 630, 22849, 264, 10506, 563, 4504, 2400, 1416, 4559, 630, 2975, 5825, 264, 616, 1164, 16151, 5468, 585, 519, 6771, 540, 8715, 27957, 15033, 853, 20942, 19905, 28857, 630, 17307, 6347, 264, 543, 8709, 1260, 344, 11142, 15033, 4283, 19905, 630, 309, 3918, 1916, 763, 8650, 7929, 11605, 6794, 630, 2752, 9169, 264, 568, 4122, 513, 2014, 585, 16075, 547, 519, 14021, 1416, 1770, 630, 2975, 308, 264, 543, 585, 7344, 14910, 269, 10738, 519, 2250, 8717, 267, 1382, 814, 3254, 711, 1152, 602, 519, 991, 585, 8650, 11215, 1416, 568, 3573, 543, 1486, 26167, 267, 855, 849, 602, 519, 9095, 540, 6051, 666, 581, 1279, 267, 543, 519, 11411, 585, 15000, 540, 8121, 9169, 568, 2965, 5626, 543, 29648, 31100, 14524, 269, 272, 267, 273, 454, 2467, 723, 1044, 1906, 2143, 267, 538, 16512, 11042, 543, 18362, 547, 3489, 1246, 5346, 1239, 593, 476, 276, 4458, 4093, 1851, 15000, 540, 519, 8650, 7929, 11605, 6794, 630, 2752, 9169, 1916, 30535, 609, 513, 3099, 540, 703, 2350, 31424, 4713, 2443, 1519, 15779, 2634, 5945, 267, 8482, 267, 1016, 541, 778, 333, 1355, 20178, 720, 267, 12499, 576, 516, 13887, 20178, 720, 267, 543, 2634, 12970, 2443, 1419, 1459, 609, 513, 11636, 2333, 538, 703, 2350, 31424, 2604, 267, 3056, 547, 4791, 21324, 543, 6038, 547, 2669, 563, 2005, 568, 15458, 2436, 10920, 335, 4809, 1835, 8643, 26618, 10607, 519, 6198, 6364, 538, 2550, 609, 4049, 15779, 2634, 5945, 543, 18195, 800, 6659, 703, 2350, 31424, 2604, 563, 17359, 7956, 540, 17461, 2483, 763, 2360, 540, 24405, 641, 5268, 2643, 9471, 609, 1970, 2173, 12817, 27954, 646, 1706, 514, 267, 607, 3379, 609, 4652, 3555, 730, 646, 1706, 514, 267, 593, 27625, 555, 668, 2692, 655, 2513, 1143, 267, 11702, 267, 543, 824, 4093, 616, 7334, 538, 9691, 2192, 2550, 563, 299, 17274, 1019, 675, 9455, 616, 606, 1898, 5057, 540, 3797, 585, 2550, 609, 8650, 10920, 335, 839, 730, 2295, 5821, 267, 855, 972, 616, 1906, 17053, 1239, 547, 3391, 741, 946, 563, 300, 2459, 1023, 723, 5135, 1606, 14819, 6127, 602, 948, 873, 3082, 3533, 547, 3834, 2135, 807, 676, 2810, 19344, 267, 1973, 2095, 267, 543, 6668, 6114, 269, 1403, 606, 16283, 3761, 540, 5135, 26251, 267, 3606, 6127, 3801, 547, 11177, 5135, 566, 610, 948, 519, 1560, 3082, 547, 3834, 2135, 807, 269, 272, 1452, 824, 6127, 7048, 593, 5135, 1606, 14819, 605, 569, 331, 18038, 2643, 1162, 630, 303, 8461, 338, 1070, 799, 18038, 2643, 622, 605, 6050, 538, 519, 13672, 1016, 22780, 540, 519, 3834, 2135, 807, 2987, 3027, 1043, 16606, 3815, 630, 295, 9281, 1040, 901, 16606, 3815, 568, 513, 10636, 617, 25534, 609, 1079, 1016, 28493, 281, 670, 9281, 268, 272, 10382, 610, 670, 9281, 268, 273, 10382, 543, 670, 9281, 268, 272, 15512, 630, 528, 513, 787, 331, 8652, 21666, 13805, 6046, 6037, 665, 1807, 1496, 2752, 18199, 316, 3940, 1040, 670, 9281, 268, 272, 10382, 568, 24819, 267, 6466, 670, 9281, 268, 273, 10382, 568, 11658, 547, 1978, 8031, 269, 272, 454, 6635, 614, 658, 623, 15802, 585, 10552, 13937, 5811, 11137, 7101, 658, 27555, 14047, 675, 585, 27555, 1973, 3154, 2079, 568, 513, 1455, 5650, 5340, 538, 4915, 269, 898, 568, 513, 4909, 5578, 602, 782, 2564, 27466, 525, 991, 547, 10536, 269, 901, 3381, 786, 2689, 24293, 27555, 14047, 675, 538, 519, 2937, 2551, 269, 1473, 10716, 623, 15802, 540, 519, 24293, 16050, 568, 519, 9053, 1505, 540, 13844, 606, 27555, 1973, 3732, 585, 1973, 3154, 2079, 563, 7343, 6918, 2954, 476, 272, 269, 276, 2929, 2550, 10929, 829, 12827, 10389, 18337, 6304, 630, 303, 5746, 264, 538, 519, 2136, 2276, 1169, 1032, 269, 272, 13689, 593, 2199, 2853, 543, 519, 10368, 7355, 1031, 267, 476, 276, 547, 476, 1789, 260, 540, 891, 2550, 630, 4037, 267, 1822, 547, 476, 14596, 267, 1822, 264, 723, 2963, 540, 513, 829, 760, 549, 1027, 1116, 26961, 658, 1102, 541, 794, 269, 273, 267, 274, 2311, 519, 2362, 7447, 267, 519, 11841, 540, 891, 2621, 568, 2147, 547, 519, 5993, 2557, 540, 2101, 21245, 26961, 658, 1102, 541, 794, 269, 272, 454, 7712, 476, 1960, 277, 267, 519, 11841, 540, 1849, 739, 5090, 1756, 886, 545, 850, 3968, 814, 811, 982, 23060, 269, 2368, 9193, 2303, 602, 972, 949, 581, 909, 547, 476, 274, 2929, 2665, 1142, 1032, 538, 519, 2136, 2276, 269, 1403, 602, 18802, 568, 2953, 267, 621, 1131, 1118, 595, 269, 886, 545, 850, 3968, 519, 1034, 1455, 9190, 2014, 540, 13165, 538, 519, 2136, 2276, 269, 2060, 519, 8375, 11841, 267, 649, 616, 7487, 2362, 9019, 2404, 609, 519, 2068, 267, 1644, 547, 693, 2547, 1079, 2188, 281, 2810, 2205, 18834, 540, 519, 595, 269, 886, 545, 850, 12490, 543, 2810, 3984, 13438, 563, 5141, 739, 5090, 1756, 886, 545, 850, 3968, 568, 513, 3978, 11591, 515, 531, 4576, 2404, 609, 8101, 24896, 543, 9019, 269, 14904, 3622, 723, 513, 3210, 547, 5711, 8709, 1260, 344, 11142, 610, 1558, 1258, 573, 31152, 282, 2705, 267, 519, 2557, 540, 24088, 568, 1164, 269, 901, 5123, 476, 274, 4791, 4693, 3379, 519, 12117, 543, 3106, 540, 535, 573, 1314, 5669, 514, 609, 1346, 540, 8709, 1260, 344, 11142, 538, 8156, 595, 269, 886, 545, 850, 3968, 563, 763, 11841, 540, 5887, 14152, 27417, 20746, 610, 5102, 1088, 612, 5887, 14152, 512, 778, 344, 15258, 807, 607, 519, 1101, 6592, 11733, 1310, 856, 6361, 3620, 2214, 1388, 13487, 10654, 814, 30122, 17379, 269, 634, 1967, 540, 676, 1056, 518, 11546, 23903, 12747, 5007, 1219, 2320, 650, 2209, 630, 288, 3633, 338, 264, 538, 1857, 5468, 5267, 602, 713, 949, 581, 519, 811, 1455, 3355, 11733, 950, 856, 6361, 3620, 2214, 1388, 13487, 10654, 4386, 538, 1857, 269, 1284, 5342, 513, 1353, 547, 3313, 2436, 519, 4087, 540, 519, 10654, 267, 519, 1826, 540, 2855, 15219, 8926, 267, 543, 519, 5506, 540, 6668, 616, 2404, 563, 2304, 476, 6434, 4458, 6040, 812, 609, 1279, 29280, 30126, 5761, 2068, 729, 15861, 547, 519, 14021, 1416, 1770, 609, 16415, 543, 8650, 7929, 5821, 8506, 7344, 14910, 269, 1261, 729, 7074, 547, 723, 513, 21136, 267, 1085, 3315, 267, 3141, 14315, 6438, 267, 5409, 335, 580, 7757, 16420, 14178, 689, 1010, 3946, 547, 513, 5693, 1629, 2117, 730, 8473, 4571, 3118, 909, 519, 6186, 267, 11021, 513, 6337, 17567, 3892, 538, 513, 3461, 26224, 547, 9849, 2110, 19492, 1407, 563, 301, 1815, 8527, 1944, 4283, 4377, 4345, 568, 1851, 519, 1034, 1455, 543, 14042, 3676, 538, 19440, 919, 269, 898, 814, 849, 1044, 835, 540, 519, 1034, 2352, 547, 30817, 272, 543, 3976, 814, 1831, 513, 10862, 585, 1382, 269, 273, 17148, 5702, 23401, 27394, 8527, 1944, 4283, 4377, 4345, 941, 4330, 1354, 519, 476, 3422, 271, 338, 267, 855, 519, 11769, 729, 711, 4922, 6444, 2394, 1310, 519, 4417, 540, 2413, 30564, 14021, 1416, 269, 272, 454, 763, 4571, 1794, 565, 600, 9570, 540, 476, 271, 269, 1428, 8406, 829, 11304, 540, 1560, 2597, 829, 5662, 4330, 538, 519, 2376, 676, 4591, 10045, 630, 5353, 696, 269, 476, 2537, 3390, 264, 272, 543, 538, 824, 4930, 593, 9354, 3834, 1278, 8926, 273, 568, 1360, 2147, 547, 519, 5227, 9570, 540, 4571, 1794, 565, 600, 1031, 547, 3082, 9691, 2192, 2550, 1510, 11719, 545, 2042, 547, 7344, 14910, 269, 274, 454, 1103, 519, 2136, 2276, 267, 5176, 476, 2568, 267, 1822, 2550, 829, 1554, 4309, 2489, 23236, 585, 6391, 269, 272, 4937, 23236, 568, 513, 3075, 14001, 267, 31181, 2783, 602, 2882, 1808, 8965, 543, 12214, 7592, 2443, 17499, 1145, 267, 993, 5886, 807, 267, 1387, 2471, 807, 267, 543, 513, 330, 1149, 807, 2443, 609, 598, 1260, 26938, 6617, 540, 519, 8238, 5669, 267, 9025, 267, 7929, 267, 543, 22243, 3467, 326, 17419, 1949, 269, 273, 4937, 23236, 7472, 3982, 3270, 593, 519, 6850, 775, 13921, 6945, 630, 7417, 294, 1070, 519, 1034, 1455, 540, 799, 568, 513, 11636, 2333, 538, 1970, 23151, 267, 1164, 268, 600, 680, 3363, 2534, 607, 519, 1377, 540, 2489, 23236, 2620, 839, 274, 267, 275, 630, 8201, 476, 272, 1040, 1215, 606, 20469, 5061, 16578, 543, 2226, 519, 8965, 2829, 540, 2489, 23236, 568, 606, 1271, 2243, 538, 4915, 543, 23798, 269, 277, 15240, 656, 658, 4030, 1547, 1547, 4586, 301, 1621, 331, 808, 2405, 476, 1001, 271, 282, 476, 3607, 274, 281, 16348, 278, 268, 16348, 280, 267, 5412, 476, 2537, 267, 476, 1001, 271, 454, 1103, 519, 2376, 676, 32303, 22654, 630, 13971, 269, 476, 866, 3390, 1070, 272, 519, 2278, 2488, 513, 3102, 543, 7059, 2689, 540, 519, 6595, 2126, 540, 10447, 855, 1281, 711, 1865, 519, 15784, 1472, 519, 946, 540, 3134, 710, 31058, 585, 8650, 4049, 10447, 12615, 725, 269, 273, 0, 28997, 478, 22287, 499, 23521, 354, 13644, 368, 8147, 24757, 25060, 500, 27818, 322, 11857, 264, 568, 519, 1439, 267, 476, 24757, 13107, 492, 5236, 376, 486, 322, 2753, 1436, 24724, 568, 519, 1797, 563, 290, 11857, 666, 11457, 543, 21707, 267, 1256, 952, 519, 10340, 1281, 711, 2291, 269, 769, 4334, 267, 10340, 3112, 1332, 543, 2291, 1510, 2528, 563, 8310, 8242, 593, 5130, 476, 1724, 267, 476, 1001, 279, 676, 5080, 321, 6062, 590, 454, 5970, 596, 2479, 9289, 1946, 519, 835, 945, 568, 4057, 543, 538, 513, 695, 629, 2421, 30933, 568, 9833, 607, 4608, 2753, 1242, 267, 1256, 1498, 646, 949, 581, 519, 1034, 31796, 1268, 543, 519, 835, 538, 513, 10427, 28459, 267, 568, 1572, 3540, 1242, 267, 855, 267, 949, 711, 581, 2348, 519, 2631, 540, 2528, 286, 9177, 568, 3388, 827, 519, 1480, 2486, 267, 1775, 4318, 269, 621, 4016, 547, 519, 1702, 543, 2934, 540, 513, 1808, 1895, 540, 1004, 2713, 538, 513, 3148, 563, 4002, 519, 824, 3665, 267, 10340, 568, 519, 14634, 540, 519, 1480, 2486, 2495, 602, 621, 568, 519, 4359, 1377, 540, 1514, 543, 1480, 1646, 563, 10144, 1419, 1476, 17218, 519, 2474, 2528, 543, 10340, 543, 1439, 909, 1210, 873, 28395, 3585, 269, 3619, 998, 609, 519, 2376, 4843, 1354, 596, 267, 547, 723, 513, 4514, 1620, 540, 519, 3017, 1063, 2528, 543, 10340, 563, 763, 2165, 2048, 322, 11857, 685, 568, 513, 5824, 5169, 540, 519, 1158, 2048, 322, 738, 639, 8730, 799, 4016, 547, 14237, 610, 17975, 1945, 267, 538, 971, 513, 1259, 602, 621, 2488, 25621, 543, 2463, 269, 769, 32067, 2474, 267, 2528, 568, 519, 1259, 1004, 2661, 267, 10630, 538, 519, 1893, 789, 12038, 267, 1426, 789, 3548, 267, 9660, 789, 5957, 543, 519, 4144, 1214, 789, 1246, 610, 10847, 269, 898, 20475, 519, 6073, 538, 799, 835, 14659, 543, 798, 1919, 563, 1103, 824, 1913, 267, 2528, 568, 519, 1305, 540, 1702, 267, 2833, 543, 19326, 799, 568, 4122, 3838, 676, 513, 1895, 540, 1004, 269, 898, 568, 1945, 602, 513, 1268, 12374, 998, 1565, 563, 290, 11857, 2882, 1148, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19761, 267, 519, 1079, 1292, 12043, 585, 14786, 616, 3376, 9917, 564, 543, 9184, 331, 1355, 563, 1692, 798, 596, 2328, 513, 11356, 7291, 888, 1432, 616, 519, 2694, 540, 513, 1153, 11356, 888, 15650, 540, 15080, 585, 3427, 1715, 4944, 3639, 454, 1432, 616, 519, 1655, 3584, 547, 2328, 606, 2376, 888, 32487, 11762, 6168, 23126, 454, 1432, 568, 519, 1034, 1271, 851, 540, 513, 11356, 888, 7072, 269, 634, 1291, 267, 610, 6679, 5037, 267, 568, 519, 1034, 1271, 851, 540, 513, 3377, 1650, 269, 2060, 865, 1082, 2959, 540, 1344, 1107, 14786, 267, 17476, 267, 7641, 267, 5925, 543, 519, 4950, 1107, 9458, 3274, 616, 711, 8348, 547, 1224, 3564, 519, 1101, 5037, 630, 663, 1256, 4845, 264, 540, 513, 1650, 8259, 621, 1178, 2125, 741, 1719, 563, 1692, 1082, 3817, 616, 538, 513, 11356, 888, 4002, 3328, 267, 513, 3232, 1957, 814, 827, 476, 2412, 3817, 269, 634, 10732, 1957, 814, 827, 476, 277, 2053, 602, 1082, 563, 1432, 568, 519, 1034, 2442, 3296, 538, 513, 11356, 888, 22818, 5667, 584, 29418, 267, 519, 1034, 1224, 3296, 540, 14786, 568, 3377, 267, 609, 1472, 476, 10436, 260, 3988, 1222, 269, 8921, 1034, 2442, 568, 7641, 1592, 902, 609, 476, 4366, 260, 4553, 676, 7328, 609, 476, 3393, 260, 543, 14812, 1299, 2951, 609, 476, 4510, 10065, 2290, 824, 1883, 4466, 568, 519, 8560, 540, 519, 5929, 3593, 24378, 1543, 1107, 5022, 547, 519, 9375, 799, 8464, 476, 4391, 18336, 1692, 798, 594, 1376, 606, 10026, 1153, 11356, 888, 1692, 798, 596, 1118, 513, 11356, 811, 4277, 888, 1432, 616, 519, 1883, 2609, 540, 513, 11356, 888, 292, 6123, 540, 513, 11356, 454, 1692, 798, 596, 1376, 606, 4367, 585, 606, 2376, 888, 1692, 798, 596, 1118, 606, 2025, 6752, 539, 11356, 888, 300, 1460, 6995, 1423, 1206, 610, 8869, 3905, 1216, 547, 3132, 513, 4158, 6960, 5277, 269, 5410, 513, 694, 335, 807, 3159, 547, 2592, 593, 707, 3817, 676, 1019, 6137, 513, 5862, 20815, 883, 707, 6995, 5277, 267, 543, 1287, 5402, 7206, 936, 519, 2592, 269, 14190, 519, 3817, 547, 3819, 8499, 269, 674, 1245, 610, 15441, 519, 3817, 1927, 547, 1106, 513, 11356, 563, 1692, 798, 596, 1711, 513, 11356, 2212, 1467, 538, 17948, 286, 0, 2304, 577, 528, 31211, 616, 5230, 10279, 3728, 22211, 1031, 538, 1585, 4070, 3785, 267, 971, 607, 1140, 2286, 11308, 14604, 547, 6405, 6821, 267, 12979, 1681, 19852, 6821, 267, 3774, 3443, 2454, 543, 824, 5230, 10279, 2679, 3785, 269, 31745, 528, 31211, 723, 8142, 539, 7475, 799, 786, 1450, 513, 2428, 610, 513, 729, 615, 547, 581, 17332, 693, 519, 1439, 547, 5150, 3774, 3029, 543, 824, 4070, 13980, 883, 513, 6405, 28973, 5748, 563, 2304, 577, 528, 31211, 2097, 538, 1082, 2010, 799, 616, 2189, 2687, 547, 10672, 267, 971, 607, 19671, 31211, 609, 7475, 18761, 899, 513, 13622, 269, 1717, 267, 519, 1034, 1455, 1826, 540, 19671, 31211, 568, 519, 5641, 2987, 268, 2897, 19671, 31211, 269, 10011, 2987, 268, 2897, 19671, 31211, 723, 15279, 21192, 30021, 7475, 799, 616, 5641, 883, 513, 6632, 6405, 269, 12989, 616, 519, 2326, 602, 596, 991, 2059, 609, 519, 5773, 593, 875, 547, 5641, 19671, 31211, 538, 6405, 563, 3721, 476, 272, 6261, 516, 6768, 519, 22493, 22553, 454, 5970, 707, 6405, 3029, 4712, 1991, 547, 519, 10380, 540, 519, 19671, 31211, 269, 22493, 3029, 616, 2901, 11308, 12545, 610, 5374, 10824, 602, 616, 1031, 547, 3180, 519, 6405, 1927, 1282, 519, 2182, 2287, 543, 27955, 1974, 563, 3721, 476, 273, 5336, 1046, 519, 22493, 12157, 1206, 30142, 1431, 454, 8794, 513, 7893, 11746, 543, 513, 15513, 267, 1665, 519, 2990, 540, 519, 19671, 31211, 538, 519, 6405, 3029, 269, 901, 1665, 786, 4196, 607, 513, 3391, 538, 11093, 519, 25963, 540, 519, 19671, 30021, 269, 1703, 568, 513, 991, 547, 5265, 1665, 519, 2990, 540, 707, 19671, 31211, 267, 607, 621, 568, 1360, 2352, 547, 1847, 606, 19671, 30021, 950, 621, 568, 2907, 5116, 593, 3819, 543, 23174, 6405, 563, 3721, 476, 274, 268, 9743, 718, 519, 31745, 528, 12157, 339, 15579, 619, 454, 301, 841, 519, 19671, 30021, 25963, 2047, 593, 1283, 540, 519, 3391, 7436, 593, 5153, 476, 273, 269, 19024, 532, 519, 19671, 30021, 25963, 593, 519, 3391, 7436, 786, 1118, 2386, 602, 519, 19671, 30021, 25963, 616, 538, 519, 1697, 1747, 1141, 519, 19671, 31211, 786, 581, 17332, 269, 31035, 689, 7674, 607, 17568, 10274, 267, 19671, 30021, 25963, 616, 849, 3730, 538, 5329, 519, 16060, 540, 707, 19671, 31211, 2973, 540, 6405, 10943, 1662, 543, 7303, 8142, 3441, 563, 3721, 476, 275, 268, 9743, 718, 519, 31745, 528, 12157, 1206, 454, 8794, 513, 530, 3402, 267, 17684, 519, 19671, 31211, 883, 519, 19671, 30021, 25963, 269, 31745, 528, 31211, 2097, 609, 3391, 7436, 602, 616, 3730, 538, 17568, 519, 19671, 31211, 538, 922, 1697, 4463, 269, 21115, 342, 519, 19671, 31211, 538, 519, 5551, 4463, 543, 3178, 563, 3721, 476, 276, 6261, 712, 22493, 454, 306, 869, 569, 13248, 6405, 883, 519, 6405, 1106, 269, 14190, 519, 23953, 6405, 547, 2095, 5196, 519, 19671, 31211, 543, 3247, 26311, 950, 621, 10301, 519, 1318, 1377, 3448, 547, 707, 6405, 1106, 454, 3721, 476, 277, 25575, 869, 519, 22493, 547, 16959, 454, 2704, 869, 519, 6405, 547, 3819, 1354, 9427, 519, 19671, 30021, 25963, 547, 1118, 2386, 602, 519, 19671, 31211, 616, 711, 5679, 18088, 1055, 2990, 269, 22493, 30021, 25963, 666, 581, 6569, 676, 796, 628, 15105, 519, 1698, 540, 519, 6405, 30021, 269, 634, 15018, 543, 27955, 942, 540, 707, 6405, 5673, 593, 519, 1826, 540, 6405, 3575, 602, 596, 616, 1210, 563, 3721, 476, 277, 268, 7230, 913, 519, 22493, 22553, 454, 7230, 913, 519, 6405, 3029, 1210, 513, 17200, 585, 11308, 6405, 3029, 543, 513, 5230, 10279, 530, 3402, 585, 5374, 6676, 6405, 3029, 269, 0, 15371, 621, 568, 547, 11886, 513, 1272, 17489, 5326, 267, 14867, 2566, 267, 610, 11654, 606, 1719, 267, 811, 4079, 616, 2921, 2575, 4245, 891, 2395, 269, 9752, 4079, 666, 581, 513, 4625, 1114, 3460, 689, 3450, 1453, 282, 972, 616, 1082, 3604, 267, 930, 540, 799, 616, 17411, 676, 519, 1505, 2835, 596, 3442, 267, 855, 1934, 649, 3513, 1445, 593, 8404, 543, 2792, 269, 769, 713, 2376, 649, 1865, 891, 2127, 540, 3017, 543, 849, 2709, 4388, 543, 11580, 547, 4308, 609, 930, 540, 891, 2591, 563, 1103, 713, 2376, 267, 594, 2893, 1524, 609, 1614, 2575, 3610, 547, 1205, 741, 4555, 543, 2833, 593, 519, 1888, 563, 2171, 723, 547, 1118, 2386, 649, 616, 8716, 543, 30070, 547, 1312, 938, 2937, 1053, 543, 938, 1126, 1053, 269, 594, 723, 1336, 1978, 1919, 948, 803, 950, 4051, 532, 4079, 269, 1879, 3843, 547, 18663, 4079, 912, 268, 22716, 1125, 875, 1808, 1983, 666, 581, 513, 851, 540, 741, 1169, 1554, 1272, 269, 20661, 616, 4052, 543, 3804, 20218, 630, 2452, 532, 585, 741, 1453, 543, 6264, 18244, 666, 581, 513, 1390, 3804, 547, 11441, 585, 1916, 268, 11559, 2417, 3408, 543, 7634, 538, 741, 4739, 630, 611, 6699, 723, 519, 2702, 547, 2007, 513, 2370, 4514, 982, 1453, 1916, 268, 8073, 606, 1995, 267, 711, 1175, 513, 3992, 269, 1703, 568, 513, 2601, 1946, 789, 616, 16116, 909, 2575, 693, 513, 2663, 2085, 267, 1118, 621, 26656, 563, 2108, 7197, 4079, 616, 1582, 2173, 582, 17300, 547, 1451, 2575, 269, 594, 1589, 3610, 1058, 1265, 513, 1259, 547, 2743, 741, 2937, 1053, 1141, 789, 616, 267, 543, 5000, 3773, 8404, 910, 1256, 538, 519, 14724, 1106, 269, 1280, 1383, 267, 952, 707, 2937, 2875, 14560, 17714, 267, 596, 1223, 2303, 1565, 513, 1906, 17714, 8964, 593, 741, 6293, 865, 789, 1223, 1397, 1055, 547, 782, 741, 2828, 693, 519, 1985, 1920, 5428, 1848, 1107, 1325, 17304, 25661, 807, 630, 303, 10730, 11819, 994, 28317, 1126, 666, 581, 12592, 676, 2789, 1919, 269, 1403, 789, 1294, 513, 4116, 7900, 593, 3942, 267, 519, 968, 322, 944, 892, 1377, 1175, 4682, 909, 538, 741, 1433, 543, 602, 779, 782, 930, 540, 873, 991, 269, 11524, 991, 547, 917, 950, 789, 1205, 547, 1404, 519, 14941, 1305, 3079, 540, 1175, 513, 2879, 732, 14941, 269, 1358, 1294, 519, 1439, 3804, 865, 789, 960, 9875, 269, 2060, 4079, 621, 568, 513, 2370, 1114, 269, 589, 2603, 540, 621, 568, 1582, 2173, 582, 10474, 269, 1411, 666, 1152, 2995, 873, 865, 1454, 267, 855, 789, 723, 4862, 621, 782, 1354, 269, 1358, 616, 4587, 267, 5923, 518, 267, 1305, 538, 741, 2081, 269, 1809, 621, 1281, 948, 547, 7618, 873, 602, 596, 4682, 998, 519, 1482, 1184, 267, 1175, 693, 513, 7820, 2085, 269, 1280, 4079, 267, 594, 2141, 4363, 979, 7487, 707, 5172, 6512, 1685, 1848, 1107, 24910, 13343, 20318, 630, 291, 5300, 11819, 994, 2108, 300, 582, 10474, 538, 4079, 568, 513, 3787, 811, 5059, 269, 1703, 568, 513, 2312, 1620, 540, 1018, 568, 4397, 540, 2933, 5097, 543, 865, 789, 616, 2901, 538, 610, 856, 269, 8866, 616, 513, 2370, 811, 4652, 21682, 543, 616, 811, 16539, 538, 1175, 6029, 909, 585, 741, 3237, 270, 974, 12329, 19160, 269, 1703, 5749, 1406, 2312, 6788, 540, 1582, 543, 811, 16539, 538, 24886, 4116, 270, 8001, 1848, 1107, 918, 15009, 548, 570, 1872, 14508, 630, 309, 4069, 11819, 994, 15973, 21899, 609, 4079, 543, 14379, 609, 1453, 666, 581, 1114, 950, 621, 2501, 547, 3450, 269, 20661, 1451, 8335, 267, 865, 519, 1935, 538, 3450, 1058, 849, 581, 12012, 269, 15526, 16137, 543, 31825, 8335, 543, 596, 1058, 2141, 2119, 547, 15378, 713, 543, 2119, 547, 3082, 707, 3450, 2409, 547, 1142, 2875, 269, 1809, 538, 1250, 1995, 594, 723, 1336, 930, 10486, 538, 1082, 4079, 563, 268, 11559, 873, 547, 2243, 910, 547, 1832, 873, 7722, 269, 1403, 835, 540, 741, 1292, 4128, 585, 2921, 909, 513, 7574, 6293, 568, 547, 1745, 513, 2631, 540, 2146, 543, 5872, 267, 1118, 2386, 519, 1514, 2460, 540, 1565, 568, 972, 563, 19285, 1589, 621, 781, 1152, 2067, 547, 5968, 609, 4079, 8335, 269, 8866, 1810, 1405, 4431, 547, 22350, 1950, 1893, 269, 4746, 267, 3214, 786, 991, 1114, 12746, 625, 630, 821, 594, 899, 547, 946, 568, 519, 14165, 540, 834, 557, 1326, 1963, 257, 950, 594, 6415, 6158, 827, 10253, 610, 2930, 5751, 602, 616, 2556, 543, 5363, 267, 855, 513, 2370, 19309, 1701, 1107, 25661, 807, 454, 14881, 723, 547, 581, 811, 8716, 609, 519, 1762, 3283, 543, 7618, 873, 602, 594, 4682, 998, 519, 1482, 1184, 269, 2060, 519, 4079, 594, 666, 14902, 811, 1317, 789, 616, 849, 28617, 693, 741, 1378, 9073, 1848, 1107, 13343, 20318, 454, 2108, 15973, 21899, 609, 4079, 568, 4443, 267, 2786, 4464, 607, 789, 616, 513, 2370, 811, 3222, 540, 741, 4703, 543, 1317, 540, 811, 1272, 1995, 269, 12005, 1620, 568, 513, 2370, 811, 12492, 762, 607, 1134, 269, 1323, 1256, 7544, 1063, 22488, 543, 4052, 5751, 814, 1044, 3730, 269, 2060, 3214, 267, 1404, 543, 811, 6264, 328, 846, 11052, 547, 1174, 519, 4390, 540, 1018, 741, 536, 3941, 666, 798, 814, 1044, 4105, 269, 898, 8952, 873, 7722, 543, 2636, 585, 811, 9885, 547, 1620, 10342, 540, 2259, 1848, 1107, 307, 1872, 14508, 454, 2467, 616, 930, 2591, 538, 3450, 2575, 4245, 602, 568, 1808, 547, 4079, 563, 268, 4014, 930, 4079, 666, 581, 811, 12592, 1317, 1100, 835, 568, 16550, 873, 547, 581, 972, 267, 930, 4079, 1810, 1406, 723, 607, 1454, 942, 547, 2259, 269, 9320, 789, 1869, 960, 2407, 6066, 6009, 267, 610, 789, 616, 11112, 609, 741, 3214, 267, 930, 4079, 1152, 2259, 950, 789, 666, 563, 268, 2368, 4079, 616, 2760, 20938, 609, 741, 6454, 610, 741, 960, 538, 3356, 269, 901, 666, 581, 585, 1082, 1114, 4128, 269, 1809, 952, 789, 3576, 2575, 4245, 607, 3214, 267, 6148, 621, 729, 519, 1259, 789, 941, 6026, 269, 9320, 519, 2856, 540, 1373, 968, 335, 684, 1639, 892, 1317, 540, 741, 9073, 568, 1266, 11712, 538, 741, 9843, 269, 2608, 2171, 1058, 849, 1832, 713, 538, 2247, 950, 649, 2461, 3450, 938, 3214, 2221, 563, 24685, 1250, 1995, 267, 1082, 4079, 12446, 693, 4245, 4743, 602, 789, 2907, 917, 1082, 540, 519, 1983, 789, 991, 547, 1451, 269, 634, 4161, 568, 538, 3478, 519, 2937, 1394, 883, 602, 2048, 29734, 1793, 622, 685, 1533, 540, 2247, 267, 865, 789, 666, 1376, 2679, 4480, 689, 4009, 835, 267, 2864 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 3953, 281, 5881, 0, 288, 11116, 568, 1102, 21719, 676, 5023, 30672, 267, 2705, 513, 29097, 568, 1102, 21719, 676, 513, 17911, 267, 7148, 1229, 267, 13549, 6438, 2497, 17543, 2966, 547, 7630, 29086, 269, 4165, 338, 267, 10987, 267, 729, 1186, 267, 543, 1085, 23705, 687, 723, 29097, 619, 1247, 20151, 7630, 741, 29086, 998, 5711, 535, 836, 338, 269, 4165, 338, 616, 2189, 538, 602, 789, 949, 1102, 12787, 3441, 3842, 2901, 513, 9006, 10535, 29097, 610, 998, 513, 1100, 343, 1190, 11116, 269, 645, 924, 16398, 2611, 513, 1713, 1966, 5001, 543, 936, 476, 3445, 260, 540, 891, 16398, 616, 17486, 689, 5243, 267, 7314, 610, 824, 3425, 269, 1323, 7447, 540, 519, 11841, 540, 782, 17486, 16398, 13455, 568, 1360, 2352, 547, 3715, 2094, 1082, 9601, 540, 5634, 17486, 798, 711, 3343, 2564, 1416, 269, 18641, 1034, 11116, 16398, 2154, 1360, 2370, 7463, 1416, 267, 666, 581, 7307, 609, 12853, 543, 1216, 267, 543, 798, 711, 991, 21734, 3795, 282, 2705, 267, 519, 1360, 1762, 267, 11361, 267, 31911, 543, 1346, 945, 616, 12225, 1227, 4761, 4818, 668, 2213, 616, 693, 2362, 1981, 540, 3968, 269, 7435, 543, 3068, 17486, 267, 2705, 267, 798, 10460, 1880, 2591, 609, 2463, 547, 23235, 519, 6708, 540, 5945, 267, 519, 1981, 540, 3968, 543, 2530, 540, 1599, 610, 771, 29664, 618, 563, 289, 2572, 1102, 21719, 689, 824, 3425, 12732, 519, 8552, 689, 12257, 547, 6057, 269, 5274, 17486, 602, 2049, 538, 7681, 609, 883, 343, 1709, 610, 14213, 270, 629, 2224, 3335, 1459, 538, 513, 16607, 6752, 799, 949, 635, 12393, 741, 1416, 269, 20351, 14213, 267, 6469, 610, 1126, 6057, 1590, 581, 2808, 950, 17265, 513, 1480, 11116, 282, 2705, 267, 824, 1696, 328, 3098, 971, 607, 23242, 2238, 610, 1582, 19899, 21719, 24146, 616, 849, 538, 519, 11186, 269, 4014, 972, 568, 513, 5256, 2392, 7631, 766, 538, 17486, 547, 519, 804, 523, 3481, 31329, 267, 824, 16398, 798, 711, 1397, 513, 4008, 15739, 32735, 269, 645, 2572, 547, 519, 5580, 17119, 640, 616, 519, 1034, 1455, 1480, 1102, 21719, 11116, 267, 543, 616, 2404, 609, 1312, 519, 6574, 2530, 540, 1599, 607, 1134, 607, 519, 5207, 1981, 540, 3968, 267, 3226, 17486, 547, 519, 1688, 563, 309, 1112, 15501, 540, 3662, 17486, 4043, 547, 581, 15866, 1453, 543, 10708, 267, 609, 513, 1804, 5256, 2392, 7631, 766, 269, 1879, 1453, 616, 9601, 540, 3662, 17486, 267, 621, 11148, 547, 811, 4749, 2049, 593, 519, 3068, 267, 6466, 17119, 885, 616, 811, 2693, 13676, 538, 4079, 269, 4107, 2665, 540, 3662, 17486, 267, 2523, 2915, 543, 3032, 17486, 4125, 606, 3662, 1634, 547, 519, 6408, 799, 568, 5363, 538, 12570, 585, 1761, 29811, 4598, 269, 1703, 3788, 513, 15295, 15739, 32735, 609, 2463, 547, 9601, 540, 2915, 8957, 3032, 17486, 269, 13928, 17486, 9601, 616, 811, 2693, 5256, 267, 6466, 8951, 616, 811, 2693, 547, 581, 9601, 540, 3032, 17486, 269, 27051, 1079, 22188, 540, 2915, 11116, 9601, 616, 1453, 610, 10708, 267, 6466, 519, 5354, 540, 3032, 11116, 9601, 616, 4079, 610, 11361, 2043, 563, 15307, 23660, 540, 519, 11841, 540, 3662, 17486, 4268, 14320, 267, 621, 814, 1044, 4080, 602, 607, 1082, 607, 476, 275, 269, 276, 2929, 2915, 17486, 2049, 12422, 4792, 543, 5111, 476, 4335, 267, 1822, 3032, 17486, 5780, 9648, 538, 519, 2136, 2276, 269, 634, 10335, 540, 519, 5945, 568, 1419, 1644, 547, 2450, 540, 519, 2915, 267, 609, 519, 28287, 540, 3677, 5243, 1373, 5827, 540, 10451, 909, 547, 476, 4968, 18470, 540, 2604, 269, 1452, 1164, 12503, 666, 1267, 538, 9645, 24807, 7063, 609, 2571, 5160, 1285, 6160, 687, 267, 18655, 267, 543, 1821, 1388, 1242, 5160, 269, 13928, 17486, 723, 6825, 569, 2539, 3928, 540, 3968, 950, 3379, 609, 17486, 689, 7314, 610, 3425, 282, 2705, 267, 782, 2915, 17486, 2154, 2941, 1190, 12555, 269, 11120, 658, 2915, 17486, 949, 581, 29101, 4114, 13846, 543, 5402, 4767, 1310, 12555, 267, 6466, 621, 568, 3622, 5227, 547, 1521, 2915, 17486, 538, 824, 20133, 5669, 6753, 609, 2901, 16607, 3119, 19479, 610, 19479, 676, 6281, 9837, 269, 1879, 606, 3968, 1281, 2049, 267, 11880, 25875, 2126, 609, 2300, 1707, 540, 683, 23145, 6776, 5160, 543, 12555, 568, 8612, 269, 769, 3665, 2665, 267, 2300, 1707, 540, 7783, 5642, 610, 993, 1584, 566, 540, 9704, 949, 581, 2556, 543, 1022, 10411, 10614, 7459, 1058, 581, 16607, 2394, 519, 3968, 814, 17251, 563, 289, 2572, 689, 7314, 798, 711, 4163, 607, 1454, 3196, 607, 2938, 538, 2915, 17486, 543, 3976, 616, 711, 2404, 609, 519, 1482, 4110, 540, 24807, 543, 5160, 5945, 269, 9603, 547, 741, 8325, 543, 7522, 4522, 267, 3032, 17486, 4043, 547, 1459, 607, 1507, 855, 2620, 14047, 675, 16398, 602, 1419, 23309, 513, 4745, 23555, 610, 11145, 519, 31971, 739, 324, 636, 540, 519, 5817, 5642, 269, 9697, 17486, 616, 811, 2693, 547, 1459, 538, 513, 16607, 6752, 543, 4043, 547, 723, 513, 2362, 2557, 540, 4742, 7783, 267, 4352, 519, 3169, 11841, 540, 7783, 3032, 17486, 568, 711, 1634, 1813, 547, 896, 516, 1636, 532, 269, 769, 835, 1957, 621, 729, 6700, 602, 909, 547, 476, 1789, 260, 540, 3032, 17486, 786, 2154, 6413, 16075, 282, 2705, 267, 713, 2557, 568, 2693, 936, 8882, 3836, 2094, 519, 3020, 14009, 540, 1346, 24569, 3032, 17486, 543, 711, 5275, 2126, 3788, 7164, 269, 4033, 3332, 814, 6059, 602, 519, 3020, 2557, 540, 2550, 8506, 16075, 1739, 3032, 3787, 568, 1472, 476, 277, 18336, 763, 6099, 19479, 540, 11116, 16398, 3788, 11786, 267, 609, 3160, 4703, 540, 3332, 14957, 585, 3119, 19479, 8957, 7067, 676, 6281, 9837, 269, 6858, 267, 6924, 19634, 940, 1851, 713, 3332, 568, 519, 5230, 8561, 593, 23815, 4093, 855, 621, 568, 2312, 602, 711, 782, 11116, 16398, 616, 519, 1482, 609, 2463, 547, 6198, 1033, 337, 2939, 267, 11763, 1981, 543, 5924, 3461, 9547, 269, 898, 568, 4922, 7608, 602, 782, 11116, 16398, 991, 9488, 11547, 719, 543, 632, 1962, 728, 618, 540, 1821, 1388, 1242, 610, 683, 23145, 6776, 5160, 538, 1931, 547, 7413, 8374, 543, 11694, 1434, 4093, 269, 30052, 267, 3119, 19479, 568, 2192, 15695, 952, 519, 10138, 568, 7783, 610, 14413, 638, 2299, 632, 1962, 3660, 269, 13518, 540, 519, 1239, 593, 2359, 540, 11132, 16398, 568, 5059, 593, 23815, 4093, 267, 607, 519, 2168, 16398, 547, 519, 3068, 949, 4163, 606, 2404, 1279, 2165, 5626, 11411, 267, 9935, 513, 3341, 16093, 766, 540, 891, 2090, 12167, 585, 3119, 19479, 269, 634, 2963, 17640, 547, 1688, 16398, 4967, 519, 1360, 1164, 3928, 540, 3968, 609, 14042, 4539, 1519, 993, 1584, 566, 540, 9704, 267, 2523, 609, 3032, 267, 7597, 13131, 267, 543, 1978, 5521, 17486, 3976, 891, 16398, 1058, 711, 581, 6806, 538, 3119, 6752, 563, 296, 337, 637, 8826, 540, 519, 1696, 5735, 267, 17486, 547, 519, 1688, 949, 723, 7096, 7525, 543, 1279, 9434, 2360, 2016, 519, 3844, 1909, 519, 1688, 4249, 538, 1082, 3232, 960, 543, 1272, 2238, 269, 20070, 3753, 547, 519, 1688, 949, 723, 10565, 14227, 4539, 585, 1312, 519, 6408, 543, 741, 1920, 2094, 891, 16398, 4043, 547, 581, 896, 1952, 3285, 730, 267, 4163, 5266, 1164, 3928, 540, 3968, 267, 543, 666, 723, 14042, 12343, 950, 2359, 568, 16607, 269, 968, 293, 697, 17486, 892, 616, 11116, 16398, 602, 2049, 1282, 513, 4339, 543, 616, 1813, 547, 2901, 519, 1764, 540, 519, 6806, 543, 804, 523, 3481, 31329, 609, 4522, 1282, 513, 4339, 267, 610, 689, 20982, 29473, 5477, 11116, 7063, 547, 519, 1688, 610, 11263, 269, 1452, 7063, 2523, 11116, 16398, 547, 519, 804, 523, 3481, 31329, 267, 723, 5393, 1164, 3928, 540, 4742, 7783, 543, 519, 5354, 540, 891, 7063, 2049, 538, 5256, 2550, 543, 4125, 519, 8789, 1688, 9648, 693, 519, 1558, 659, 17369, 2684, 531, 1052, 531, 10549, 269, 744, 322, 5477, 17486, 9648, 538, 2021, 1058, 2285, 4473, 547, 6161, 585, 519, 7872, 540, 6469, 610, 4638, 6057, 269, 744, 322, 5477, 17486, 538, 1453, 616, 1419, 1644, 547, 824, 1453, 855, 949, 849, 581, 2404, 609, 6057, 269, 17972, 971, 607, 519, 954, 4754, 710, 3845, 7074, 593, 519, 11116, 666, 4217, 538, 23243, 1063, 17486, 9447, 676, 4079, 610, 1453, 269, 9717, 519, 5266, 5634, 4110, 540, 2571, 5160, 3795, 540, 519, 970, 16428, 6712, 540, 519, 1688, 267, 21774, 883, 519, 5817, 970, 16428, 25688, 7271, 267, 513, 4745, 23555, 267, 610, 883, 519, 2620, 24561, 5160, 568, 7074, 547, 2049, 538, 476, 4037, 260, 540, 968, 325, 697, 17486, 892, 547, 519, 1688, 269, 3583, 901, 2565, 4466, 949, 1419, 581, 15763, 676, 1072, 1416, 10986, 865, 7426, 1058, 581, 10332, 585, 4745, 18670, 563, 1103, 1688, 17486, 540, 1022, 1696, 5735, 621, 568, 2565, 547, 1685, 513, 2347, 4879, 540, 10137, 543, 4827, 542, 540, 519, 1688, 543, 11263, 2094, 519, 8650, 6881, 540, 519, 10138, 949, 723, 8766, 4681, 269, 4329, 950, 519, 1688, 568, 8947, 538, 519, 17159, 796, 743, 523, 3481, 2990, 519, 970, 16428, 25688, 1427, 847, 338, 543, 5924, 519, 11503, 983, 15237, 568, 4988, 936, 15720, 519, 13676, 6712, 689, 1463, 2070, 269, 5589, 11661, 519, 804, 523, 3481, 31329, 547, 18113, 4983, 519, 10138, 543, 1761, 5817, 5160, 5945, 568, 1419, 3908, 1813, 547, 519, 1928, 689, 519, 8650, 5945, 855, 621, 568, 8612, 2094, 513, 14406, 5945, 5932, 513, 6806, 1604, 8716, 9190, 2208, 543, 8374, 269, 25124, 949, 13604, 3262, 543, 3356, 2059, 519, 1016, 777, 821, 1755, 6776, 3148, 609, 1646, 540, 5493, 3405, 610, 4827, 528, 25688, 1352, 987, 3968, 269, 744, 322, 5477, 17486, 267, 1813, 547, 2831, 610, 3425, 267, 2523, 547, 519, 11263, 4043, 547, 23309, 1312, 519, 24725, 543, 2019, 541, 7252, 609, 1164, 3928, 540, 25688, 543, 23555, 9525, 563, 2467, 568, 1100, 2312, 610, 7608, 2359, 2436, 782, 1480, 1688, 17486, 1058, 581, 7307, 538, 519, 5665, 4055, 8957, 6297, 3408, 543, 11547, 719, 538, 519, 6595, 8257, 282, 2705, 267, 621, 568, 2312, 602, 782, 1480, 17486, 547, 519, 1688, 2154, 12555, 269, 2368, 4589, 25077, 602, 782, 1480, 1102, 21719, 1688, 10138, 2960, 12889, 1058, 581, 6905, 547, 7520, 7850, 3408, 543, 930, 723, 1256, 23647, 585, 7900, 606, 818, 628, 8527, 3912, 547, 3035, 7850, 3408, 267, 11547, 719, 267, 543, 7816, 855, 972, 568, 1100, 13618, 3823, 891, 2853, 269, 10170, 267, 7761, 2506, 2869, 545, 10138, 4529, 1058, 711, 581, 3144, 2390, 3355, 6881, 540, 513, 1875, 17126, 539, 1688, 11116, 267, 2094, 971, 4529, 9444, 3589, 2436, 519, 10138, 786, 1831, 7783, 6862, 798, 789, 3589, 519, 11248, 267, 1058, 519, 10138, 1831, 7783, 269, 769, 2665, 1141, 519, 1688, 11116, 568, 2404, 609, 606, 5817, 17795, 519, 10138, 1058, 581, 2808, 606, 1930, 17795, 543, 5701, 607, 971, 609, 1766, 894, 11547, 719, 543, 7245, 540, 21734, 8069, 269, 1290, 4124, 666, 581, 31965, 952, 519, 3408, 543, 11547, 719, 568, 2038, 2094, 16607, 3408, 610, 16283, 632, 1962, 728, 618, 568, 2404, 609, 4057, 4093, 269, 5548, 26359, 6881, 3564, 476, 279, 2395, 689, 519, 11116, 568, 2404, 609, 606, 476, 1240, 260, 2557, 540, 993, 1584, 566, 10463, 543, 519, 2557, 540, 993, 1584, 566, 568, 5207, 538, 519, 1034, 30218, 16398, 267, 1519, 11263, 267, 609, 2539, 1981, 538, 811, 9938, 2711, 16398, 563, 1103, 2739, 687, 11374, 645, 2572, 547, 519, 7435, 454, 1103, 2489, 267, 605, 29091, 12519, 11216, 585, 11116, 16398, 798, 711, 2569, 519, 2557, 540, 7766, 3968, 10619, 855, 519, 9868, 547, 713, 616, 11116, 16398, 547, 519, 1688, 269, 4037, 2755, 1804, 19747, 6417, 2090, 616, 15877, 267, 2789, 8039, 723, 23647, 585, 6296, 605, 29091, 12519, 21734, 3795, 538, 2665, 540, 11116, 16398, 547, 519, 1688, 269, 6858, 267, 10619, 267, 10602, 4165, 574, 17853, 605, 29091, 9471, 585, 11116, 16398, 547, 519, 1688, 941, 3254, 547, 2569, 3968, 3928, 689, 476, 2764, 260, 547, 476, 273, 10065, 10619, 16340, 8552, 21734, 8069, 267, 2523, 609, 519, 1840, 540, 513, 16061, 2000, 716, 600, 848, 28166, 267, 616, 5227, 547, 2232, 519, 14671, 17853, 2470, 540, 5023, 18508, 269, 2549, 16464, 20275, 12641, 822, 592, 534, 622, 568, 606, 5140, 5711, 8665, 585, 1480, 610, 3662, 3795, 2094, 621, 568, 2500, 1996, 1034, 540, 519, 4551, 1336, 538, 519, 5711, 13570, 1519, 16562, 518, 984, 525, 269, 654, 2432, 949, 581, 6806, 5097, 1739, 11547, 719 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 7066, 526, 532, 595, 20975, 454, 268, 4578, 12856, 454, 268, 21952, 3590, 454, 268, 9049, 9185, 454, 268, 595, 14691, 454, 268, 4317, 5525, 454, 268, 22960, 5525, 454, 268, 13751, 5525, 454, 268, 29120, 7335, 454, 268, 772, 28903, 594, 3008, 1401, 4461, 11872, 454, 268, 3763, 518, 781, 7454, 13756, 454, 268, 5999, 543, 12226, 454, 268, 13229, 1763, 2541, 5675, 454, 268, 15679, 19877, 5999, 454, 268, 8950, 3794, 27443, 454, 268, 5808, 568, 5808, 454, 11795, 2397, 9737, 3397, 528, 7469, 14113, 543, 1849, 320, 755, 5268, 14113, 454, 13070, 528, 7469, 14113, 543, 804, 320, 755, 5268, 14113, 616, 1079, 540, 519, 1034, 1455, 943, 984, 5362, 602, 1004, 7985, 689, 269, 2755, 1312, 540, 891, 943, 984, 5362, 666, 1291, 547, 7920, 4606, 540, 4250, 543, 11784, 267, 789, 616, 1360, 1114, 689, 835, 1776, 269, 3397, 528, 7469, 14113, 568, 519, 4250, 540, 1373, 538, 3871, 1141, 9101, 949, 581, 2352, 610, 19849, 23035, 267, 6466, 804, 320, 755, 5268, 14113, 568, 519, 4250, 540, 1373, 538, 20583, 5624, 563, 1432, 568, 3397, 528, 7469, 14113, 888, 13070, 528, 7469, 14113, 568, 1759, 593, 519, 5259, 2262, 834, 698, 7702, 257, 799, 1797, 834, 2897, 540, 10198, 257, 610, 834, 21466, 2897, 2668, 18748, 539, 2043, 1419, 1589, 602, 789, 666, 2490, 547, 1100, 835, 585, 948, 950, 11784, 6285, 1131, 2693, 2049, 610, 789, 1745, 602, 1373, 538, 513, 22125, 1747, 1131, 581, 1360, 19849, 23035, 2094, 789, 1131, 4440, 8915, 4160, 2589, 563, 13295, 267, 519, 1297, 540, 1004, 538, 519, 4055, 568, 513, 2462, 3815, 538, 32117, 519, 4250, 269, 3397, 528, 7469, 14113, 568, 835, 540, 519, 1455, 943, 984, 5362, 602, 568, 1946, 621, 568, 9138, 538, 519, 32663, 476, 276, 269, 634, 10368, 7355, 14574, 513, 6825, 4250, 540, 693, 2547, 1079, 540, 519, 1739, 6567, 454, 8794, 1857, 3560, 725, 899, 9635, 543, 21772, 454, 18455, 538, 1930, 5624, 899, 1857, 6990, 543, 18736, 6266, 454, 18455, 538, 20583, 2127, 899, 14557, 655, 553, 610, 519, 11596, 454, 18455, 538, 513, 15624, 610, 513, 1279, 20313, 454, 18455, 856, 540, 519, 2777, 4805, 454, 1432, 568, 1849, 320, 755, 5268, 14113, 888, 290, 5055, 755, 5268, 14113, 3357, 689, 519, 5824, 2262, 834, 743, 320, 755, 5300, 257, 585, 834, 320, 6806, 2987, 1747, 257, 568, 519, 19450, 4250, 540, 16876, 5624, 269, 24511, 267, 1018, 12153, 519, 4250, 568, 519, 2219, 540, 1018, 1223, 4755, 538, 513, 1978, 20583, 1858, 563, 2690, 3236, 267, 606, 1367, 949, 1745, 16290, 543, 949, 1419, 1589, 602, 646, 1131, 5555, 3154, 335, 585, 2011, 950, 538, 513, 1507, 4055, 269, 2368, 540, 519, 8912, 4025, 602, 18427, 971, 4250, 616, 6567, 454, 309, 12317, 2873, 971, 607, 6517, 267, 14884, 267, 543, 14742, 454, 307, 18365, 1564, 610, 23572, 454, 11795, 3720, 281, 3397, 528, 7469, 14113, 543, 1849, 320, 755, 5268, 14113, 454, 13828, 989, 528, 7469, 14113, 543, 804, 320, 755, 5268, 14113, 666, 581, 27676, 543, 666, 3648, 1764, 606, 1367, 781, 2702, 547, 1599, 538, 741, 3232, 2729, 269, 1717, 267, 519, 5817, 3123, 540, 891, 943, 984, 5362, 616, 1114, 269, 3397, 528, 7469, 14113, 568, 1419, 2404, 609, 513, 4250, 540, 9561, 1852, 610, 2348, 513, 11784, 4323, 538, 1857, 267, 1247, 804, 320, 755, 5268, 14113, 568, 2404, 609, 513, 4250, 540, 30693, 610, 19231, 563, 21675, 3681, 585, 989, 528, 7469, 14113, 543, 804, 320, 755, 5268, 14113, 949, 8428, 607, 1134, 269, 1280, 989, 528, 7469, 14113, 267, 5042, 15515, 24173, 3797, 630, 30274, 264, 543, 4598, 3797, 666, 581, 2500, 269, 1452, 11257, 2832, 547, 948, 2043, 1451, 875, 547, 4383, 741, 4160, 538, 3871, 602, 9594, 741, 4250, 269, 22452, 3797, 3322, 7930, 20392, 519, 1367, 547, 3871, 602, 789, 4250, 1247, 3246, 873, 609, 12003, 2994, 543, 1489, 563, 2690, 804, 320, 755, 5268, 14113, 267, 4598, 3797, 666, 849, 581, 2500, 269, 901, 949, 4125, 7444, 2810, 519, 2179, 540, 942, 606, 1367, 22939, 538, 606, 20583, 2230, 1247, 3246, 1489, 543, 5583, 269, 4039, 1314, 566, 2553, 971, 607, 2620, 7244, 543, 9066, 949, 849, 581, 5363, 585, 2043, 609, 804, 320, 755, 5268, 14113, 563, 763, 1739, 3349, 8711, 519, 2101, 3604, 1063, 3397, 528, 7469, 14113, 543, 1849, 320, 755, 5268, 14113, 6567, 454, 13126, 540, 21824, 454, 10144, 609, 989, 528, 7469, 14113, 4250, 2647, 543, 1419, 20651, 4025, 971, 607, 31768, 11614, 543, 29032, 563, 31714, 609, 804, 320, 755, 5268, 14113, 4250, 16876, 5624, 799, 1419, 9673, 1206, 5322, 899, 18909, 1085, 22395, 267, 1857, 30079, 267, 543, 6173, 2209, 563, 257, 13070, 7702, 257, 568, 513, 5259, 2262, 799, 18922, 547, 834, 2897, 540, 10198, 257, 610, 834, 21466, 2897, 8487, 257, 290, 5055, 755, 5300, 257, 568, 513, 5824, 2262, 799, 1797, 834, 743, 2216, 2987, 2230, 8487, 763, 32663, 476, 276, 2829, 602, 1472, 476, 272, 269, 278, 260, 540, 10708, 543, 4079, 538, 3013, 616, 8995, 609, 989, 528, 7469, 14113, 1169, 1032, 563, 4913, 267, 804, 320, 755, 5268, 14113, 814, 513, 1447, 4396, 18802, 3823, 4299, 2043, 282, 2959, 3409, 602, 1472, 476, 273, 268, 1321, 260, 4892, 8915, 519, 2589, 563, 293, 792, 540, 6481, 30332, 454, 10144, 609, 989, 5268, 14113, 4250, 1447, 827, 2564, 5773, 982, 804, 320, 755, 5268, 14113, 563, 2026, 3379, 547, 989, 528, 7469, 14113, 267, 804, 320, 755, 5268, 14113, 568, 811, 5702, 1644, 609, 2564, 5773, 607, 804, 320, 755, 5268, 984, 923, 4250, 18909, 1085, 22395, 543, 5409, 8663, 545, 5135, 20830, 269, 2368, 949, 849, 1745, 6825, 4160, 950, 18460, 1535, 11920, 5773, 454, 1103, 3932, 267, 989, 528, 7469, 14113, 543, 804, 320, 755, 5268, 14113, 616, 1079, 1360, 1114, 943, 984, 5362, 602, 666, 3648, 1764, 606, 1367, 781, 2298, 540, 1272, 269, 2755, 1312, 666, 1291, 547, 7920, 4606, 540, 4250, 543, 11784, 267, 519, 5817, 3123, 543, 2126, 3681, 949, 8428, 563, 2005, 568, 1271, 585, 2043, 945, 7985, 689, 891, 943, 984, 5362, 547, 3343, 2126, 543, 1489, 538, 1931, 547, 4383, 741, 2589, 543, 2087, 741, 2949, 1134, 5630, 563, 298, 1157, 11034, 2659, 19396, 454, 7476, 14468, 676, 11264, 519, 1576, 7476, 29035, 0, 23727, 568, 606, 27099, 585, 3163, 267, 5303, 267, 7177, 267, 543, 9119, 269, 1403, 513, 2361, 540, 1353, 8813, 538, 1022, 540, 519, 2185, 10459, 5018, 267, 1287, 602, 1982, 568, 19040, 607, 513, 13241, 1982, 563, 23727, 32233, 3292, 616, 3533, 4742, 2442, 1851, 3486, 1053, 269, 13241, 32233, 3292, 616, 2966, 547, 1628, 711, 1152, 707, 1870, 1983, 855, 849, 707, 2930, 1983, 269, 1452, 3292, 3142, 2059, 609, 621, 606, 6905, 31705, 8653, 799, 513, 1875, 4149, 307, 4932, 1982, 1281, 711, 563, 1103, 2487, 1296, 267, 2475, 1870, 3506, 723, 1044, 5356, 13241, 32233, 3292, 547, 4482, 3486, 1053, 269, 1548, 513, 13241, 32233, 1982, 2709, 568, 1870, 1983, 609, 606, 8561, 593, 13241, 3156, 269, 1358, 1331, 8051, 267, 1870, 12642, 267, 3375, 3069, 267, 8804, 267, 9297, 267, 1344, 2029, 267, 1876, 267, 6725, 267, 2359, 267, 7194, 267, 543, 4640, 1247, 3246, 1870, 1983, 547, 581, 3811, 538, 2359, 543, 5718, 5107, 563, 4322, 616, 519, 5383, 540, 13241, 3292, 538, 519, 7330, 585, 1053, 912, 272, 269, 13241, 22362, 585, 674, 272, 1053, 538, 519, 7330, 454, 23727, 1053, 945, 616, 593, 606, 674, 272, 31705, 666, 1904, 547, 960, 538, 519, 772, 2529, 269, 1403, 513, 2875, 1904, 338, 547, 960, 538, 519, 772, 2529, 269, 896, 519, 476, 1321, 3275, 744, 8976, 1223, 8831, 621, 676, 476, 2190, 3275, 563, 273, 269, 14568, 2816, 3255, 454, 10743, 13197, 6030, 1644, 547, 13241, 786, 1205, 1732, 2816, 3255, 538, 519, 772, 2529, 269, 634, 1297, 540, 13241, 5829, 23909, 568, 4397, 547, 1332, 693, 513, 2362, 2557, 538, 519, 2136, 2276, 269, 898, 568, 711, 1152, 602, 789, 723, 1732, 2816, 3255, 789, 849, 723, 606, 4316, 547, 7118, 2362, 563, 275, 269, 32374, 707, 1376, 5346, 454, 2005, 568, 2938, 602, 20021, 540, 13241, 3292, 723, 1044, 3811, 538, 9591, 741, 1378, 1376, 13522, 269, 1280, 1373, 3811, 596, 723, 547, 581, 3860, 543, 5499, 563, 10743, 689, 513, 13241, 2361, 616, 8036, 547, 1589, 540, 3860, 2081, 547, 1020, 707, 1378, 3301, 610, 707, 1007, 813, 610, 1711, 513, 31942, 269, 0, 29272, 12594, 476, 6200, 281, 30839, 2659, 674, 5202, 31541, 585, 8838, 2711, 2657, 454, 2690, 519, 2949, 1072, 543, 1134, 5630, 540, 938, 26804, 2828, 267, 1697, 29454, 568, 2629, 269, 1280, 7314, 547, 1489, 741, 2208, 267, 2226, 513, 2635, 2597, 267, 543, 2057, 1455, 1072, 2152, 267, 789, 991, 547, 3548, 513, 7059, 543, 5078, 2732, 269, 1284, 786, 979, 883, 519, 13210, 540, 3032, 6484, 538, 713, 5816, 267, 5356, 5363, 4030, 543, 7840, 547, 4217, 3032, 5411, 538, 1818, 3664, 543, 4180, 741, 26804, 15274, 4309, 519, 6574, 6484, 585, 19993, 1072, 563, 8139, 9697, 26678, 20126, 454, 268, 5221, 7314, 616, 8078, 622, 23097, 2803, 267, 741, 4703, 991, 1978, 5567, 602, 666, 1152, 581, 1336, 538, 3662, 8031, 269, 4256, 2027, 8192, 2115, 1331, 513, 1164, 10421, 585, 3940, 267, 4105, 11254, 7408, 267, 9761, 7408, 267, 8324, 267, 543, 6886, 269, 1879, 7446, 519, 2953, 2732, 585, 707, 3032, 267, 621, 568, 1898, 547, 10146, 891, 2115, 563, 26660, 20497, 9697, 5253, 454, 268, 8564, 1164, 7779, 5010, 3032, 1426, 602, 814, 1044, 16887, 5423, 547, 6474, 7314, 262, 8192, 2115, 269, 6733, 585, 3536, 602, 723, 513, 5697, 3662, 3940, 543, 513, 3666, 540, 3940, 267, 3170, 267, 543, 11950, 267, 1519, 1346, 602, 616, 1500, 5097, 540, 3957, 3662, 5946, 630, 7945, 607, 9269, 267, 21429, 267, 610, 3165, 1040, 16202, 1447, 1426, 602, 814, 513, 2603, 540, 6445, 619, 267, 5841, 21187, 267, 610, 17071, 676, 335, 20094, 563, 310, 564, 5288, 269, 16959, 5253, 454, 268, 5637, 6632, 543, 3819, 3032, 3536, 723, 741, 5383, 269, 22911, 1426, 666, 1683, 3606, 20697, 267, 2523, 585, 7314, 602, 1810, 1405, 4235, 1454, 1216, 269, 16959, 1426, 666, 581, 10375, 543, 948, 2226, 5959, 1072, 269, 898, 781, 1419, 5227, 547, 1683, 513, 4999, 540, 1312, 267, 6220, 6632, 1426, 607, 513, 1713, 6712, 540, 707, 3032, 781, 2732, 563, 303, 10407, 6513, 543, 30839, 21480, 454, 268, 19321, 6712, 1852, 547, 2061, 936, 16567, 610, 896, 16567, 707, 3032, 269, 7427, 519, 8023, 4808, 3177, 593, 519, 3032, 1426, 11183, 607, 513, 4358, 1448, 267, 855, 4188, 519, 13980, 1759, 593, 707, 3032, 781, 2085, 267, 2534, 1377, 267, 543, 1560, 2783, 269, 19372, 513, 2834, 8023, 8430, 547, 3895, 513, 2635, 6296, 563, 307, 805, 338, 543, 4675, 6123, 454, 268, 6164, 338, 1058, 581, 2016, 538, 20208, 543, 1058, 711, 9765, 476, 1015, 260, 540, 707, 3032, 781, 3232, 17811, 6981, 269, 7994, 13000, 1500, 4481, 585, 7314, 543, 2057, 5356, 1480, 1426, 267, 799, 666, 581, 5739, 269, 13693, 609, 707, 16943, 1354, 4946, 1022, 9360, 547, 707, 3032, 781, 2732, 267, 607, 711, 782, 7314, 2154, 3606, 21455, 563, 268, 24367, 513, 2635, 2597, 568, 2629, 585, 7303, 8377, 5829, 1072, 2152, 538, 7314, 269, 18554, 707, 3032, 781, 1560, 2783, 543, 5077, 609, 707, 16943, 547, 3313, 519, 3617, 1608, 7595, 6981, 543, 8023, 1544, 547, 1489, 2597, 2359, 563, 19894, 27259, 6744, 13522, 454, 268, 8617, 18915, 2638, 13522, 616, 1898, 585, 12570, 707, 3032, 781, 2949, 1072, 267, 1519, 741, 9422, 4567, 269, 2659, 16943, 666, 1683, 5583, 593, 3617, 2732, 5079, 543, 948, 2232, 1022, 1808, 8192, 4145, 585, 707, 3032, 781, 1367, 2115, 563, 19187, 6484, 568, 4105, 585, 519, 1072, 543, 15325, 540, 938, 26804, 15274, 269, 1635, 1620, 741, 2189, 8192, 2115, 267, 7446, 1164, 7779, 5010, 3032, 1426, 267, 8026, 6712, 1852, 267, 3246, 513, 7059, 2732, 267, 543, 6220, 2834, 18915, 2638, 13522, 267, 649, 666, 2327, 938, 7314, 4309, 519, 6099, 6484, 789, 2154, 585, 513, 6126, 543, 2635, 1272, 269, 5457, 267, 950, 621, 2501, 547, 3032, 6484, 267, 5483, 5079, 1291, 547, 7524, 1134, 5630, 269, 0, 18183, 12787, 538, 519, 5259, 2622, 454, 14818, 707, 1702, 593, 834, 18183, 12787, 538, 519, 5259, 2622, 4840, 288, 853, 269, 18536, 781, 4303, 3014, 827, 2349 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26849, 568, 2479, 2322, 693, 1981, 540, 513, 3775, 25053, 519, 3119, 1445, 540, 1346, 3238, 1058, 581, 519, 3106, 540, 782, 2043, 2141, 16783, 609, 519, 269, 26990, 331, 776, 568, 606, 796, 32016, 7127, 883, 513, 2679, 610, 824, 4087, 585, 519, 5301, 540, 22867, 606, 1055, 775, 2356, 602, 1055, 775, 568, 17403, 267, 855, 1034, 22875, 1331, 1866, 1369, 519, 16084, 540, 3276, 6921, 776, 547, 4497, 538, 519, 957, 540, 3276, 6921, 776, 568, 547, 3276, 326, 548, 630, 538, 21099, 7005, 264, 610, 547, 3276, 6921, 541, 1125, 630, 514, 7819, 7005, 264, 606, 568, 5361, 328, 18837, 563, 272, 4367, 713, 1867, 6799, 606, 7650, 540, 519, 4681, 540, 513, 1614, 4458, 1382, 10872, 593, 519, 7145, 540, 7128, 2259, 538, 4227, 10821, 3276, 6921, 776, 519, 18591, 540, 5126, 5342, 519, 1382, 267, 538, 11450, 609, 519, 1007, 1990, 9973, 7128, 267, 689, 476, 1220, 273, 547, 476, 1220, 275, 713, 7650, 14405, 593, 8370, 5094, 269, 26990, 331, 776, 6142, 4214, 910, 3276, 6921, 776, 6142, 568, 513, 3609, 602, 6227, 9271, 4611, 689, 513, 3276, 6921, 776, 3276, 6921, 776, 18575, 519, 957, 540, 10024, 513, 269, 26990, 331, 776, 6142, 4367, 281, 910, 3276, 6921, 776, 6142, 568, 835, 540, 519, 2101, 5049, 540, 1870, 896, 25740, 538, 519, 3765, 3250, 10389, 8257, 543, 6589, 585, 513, 2450, 762, 851, 540, 14167, 4747, 540, 519, 8257, 17618, 6340, 1022, 2186, 540, 1940, 762, 3959, 899, 6006, 267, 6006, 2987, 2389, 8565, 267, 2030, 543, 12227, 27260, 2750, 1815, 5737, 5758, 476, 274, 476, 272, 4367, 476, 277, 476, 273, 12191, 476, 278, 476, 274, 1764, 540, 3276, 6921, 776, 543, 1489, 2115, 540, 3276, 6921, 776, 9601, 1107, 4681, 689, 519, 6408, 5619, 476, 1015, 476, 275, 5870, 519, 1489, 2115, 540, 3276, 6921, 776, 9601, 476, 866, 476, 276, 2013, 2090, 540, 3785, 4758, 4052, 1489, 547, 3276, 6921, 776, 9601, 476, 3953, 476, 277, 8753, 543, 7840, 269, 634, 5626, 3157, 5817, 3276, 6921, 1513, 262, 2027, 5314, 538, 835, 6249, 267, 610, 6521, 689, 835, 547, 1776, 267, 616, 5941, 713, 1353, 2982, 602, 519, 21044, 1935, 3091, 513, 1505, 540, 4974, 519, 17326, 7645, 2470, 540, 3276, 6921, 1513, 262, 5626, 3157, 540, 2027, 5314, 476, 272, 4367, 1412, 7921, 331, 776, 262, 568, 835, 540, 519, 1034, 563, 1607, 6142, 2488, 3795, 547, 519, 1202, 3293, 1996, 2530, 610, 3441, 547, 519, 3959, 1202, 3293, 16109, 689, 3123, 971, 607, 281, 17403, 2390, 3702, 550, 540, 10795, 7127, 610, 14827, 547, 519, 22402, 11439, 3775, 25053, 610, 3180, 909, 3795, 849, 2882, 3441, 547, 22402, 607, 513, 1267, 540, 519, 1657, 909, 547, 5021, 2179, 540, 476, 276, 260, 540, 519, 269, 5940, 3555, 3276, 6921, 776, 4640, 281, 6760, 2359, 3609, 281, 6760, 7634, 7936, 281, 6760, 2359, 476, 272, 4367, 476, 1556, 713, 2259, 4287, 630, 335, 323, 264, 568, 5497, 547, 1683, 513, 5943, 585, 3210, 547, 1055, 1878, 540, 1412, 23251, 3555, 262, 3276, 6921, 776, 1055, 1878, 971, 1055, 1878, 1331, 1346, 8149, 676, 1412, 321, 690, 639, 262, 8387, 563, 7072, 1142, 1106, 540, 6142, 814, 922, 4282, 540, 20825, 799, 1267, 538, 6727, 543, 27644, 2883, 28654, 547, 2043, 610, 547, 2516, 540, 2043, 267, 543, 267, 4061, 267, 1711, 20314, 4293, 1996, 799, 4027, 568, 14909, 1978, 669, 1149, 616, 519, 4282, 585, 3276, 6921, 776, 267, 17403, 543, 3775, 25053, 269, 4985, 547, 5010, 3354, 910, 538, 713, 10126, 267, 3288, 8544, 320, 7128, 8257, 781, 8783, 6941, 519, 2956, 540, 7863, 707, 1870, 2070, 519, 25644, 7863, 707, 1870, 1996, 3276, 6921, 776, 910, 2569, 519, 4316, 585, 5186, 758, 338, 547, 2736, 883, 707, 4213, 676, 1739, 513, 1906, 2241, 4388, 2070, 7863, 1870, 563, 3725, 701, 520, 14672, 792, 10956, 3276, 6921, 776, 3270, 616, 19585, 593, 519, 2949, 1377, 543, 1808, 7516, 540, 771, 32360, 267, 8066, 6286, 585, 1055, 2658, 25700, 607, 1134, 607, 17161, 3276, 6921, 776, 267, 10956, 267, 2282, 10956, 267, 22883, 3999, 32294, 6760, 3270, 267, 1514, 771, 32360, 968, 613, 18649, 281, 606, 4367, 547, 8901, 1239, 2079, 269, 4985, 621, 568, 3226, 1271, 585, 1507, 4213, 4171, 8227, 781, 1981, 9561, 741, 17612, 1813, 547, 17403, 3276, 6921, 776, 6142, 568, 606, 1039, 6823, 547, 824, 6142, 4507, 476, 276, 733, 323, 519, 4579, 2356, 3340, 2963, 602, 519, 1268, 11262, 519, 21687, 3688, 6142, 2754, 3622, 269, 4985, 547, 3276, 6921, 541, 15372, 1949, 2278, 281, 513, 686, 552, 1066, 11209, 267, 3370, 593, 23891, 476, 6860, 2073, 476, 1001, 278, 1247, 15372, 1949, 616, 2442, 267, 13326, 1063, 519, 1318, 1377, 540, 4027, 267, 519, 3617, 3334, 543, 606, 11807, 3902, 666, 581, 1360, 4101, 713, 538, 3829, 5850, 6941, 1142, 4909, 3693, 267, 5356, 269, 476, 278, 476, 1556, 476, 1704, 476, 2767, 476, 3374, 9115, 2062, 5320, 26453, 11381, 17367, 476, 274, 9115, 476, 276, 4367, 476, 278, 851, 476, 272, 14236, 707, 3276, 6921, 776, 476, 1556, 851, 476, 273, 7863, 707, 3959, 476, 1704, 851, 476, 274, 945, 666, 948, 2149, 707, 3959, 476, 2767, 851, 476, 275, 5758, 476, 3451, 17066, 1592, 476, 3374, 563, 7072, 538, 519, 8087, 10806, 543, 519, 8087, 2829, 543, 538, 1896, 824, 2477, 538, 519, 7262, 1158, 267, 10821, 3276, 6921, 776, 630, 10193, 1634, 607, 3276, 6921, 776, 23029, 610, 6469, 3276, 6921, 776, 264, 568, 711, 513, 5094, 25213, 538, 1876, 267, 855, 568, 851, 540, 519, 2489, 25213, 540, 3276, 6921, 776, 519, 3877, 540, 519, 1876, 4268, 689, 2197, 547, 269, 4985, 6666, 267, 799, 1058, 581, 9833, 607, 4967, 267, 11113, 543, 11884, 6460, 1043, 630, 20608, 264, 642, 537, 7129, 267, 568, 2523, 10694, 547, 20737, 607, 971, 789, 4749, 1413, 547, 21102, 621, 676, 2848, 953, 18011, 1492, 1111, 264, 610, 7142, 7127, 18011, 7921, 331, 776, 10807, 538, 1142, 2013, 971, 606, 2680, 9648, 2901, 2309, 12264, 610, 1310, 9645, 1382, 543, 269, 4985, 6760, 2157, 538, 512, 1868, 728, 616, 9991, 543, 602, 781, 4013, 4352, 519, 1981, 540, 4742, 513, 6408, 540, 6760, 538, 519, 18664, 965, 568, 693, 922, 9803, 2479, 602, 1981, 18387, 1405, 8854, 2476, 15587, 538, 512, 1868, 728, 649, 917, 602, 1034, 3276, 6921, 1513, 616, 2309, 2065, 1114, 8041, 899, 519, 2199, 7128, 267, 512, 1868, 728, 14643, 543, 519, 3595, 269, 17461, 476, 1556, 23029, 3276, 6921, 776, 568, 606, 12362, 543, 1164, 11841, 6760, 267, 543, 568, 513, 2101, 2014, 540, 6161, 585, 1082, 1007, 1990, 9973, 619, 519, 2229, 781, 6760, 5786, 4640, 814, 6098, 3276, 6921, 776, 607, 513, 10862, 6760, 585, 5786, 519, 1007, 1990, 9973, 7128, 630, 1492, 7128, 264, 723, 13988, 741, 1378, 7580, 4093, 547, 519, 269, 0, 763, 3043, 1010, 13732, 6003, 281, 9811, 267, 1004, 267, 10168, 568, 513, 4234, 3626, 3364, 267, 1932, 6988, 540, 1018, 621, 568, 547, 581, 4234, 3626, 538, 519, 8087, 2829, 814, 519, 1761, 547, 7941, 269, 10395, 1441, 15690, 543, 4224, 547, 1711, 513, 1007, 2575, 26595, 10522, 10169, 519, 2038, 2395, 540, 5925, 543, 922, 1379, 547, 26595, 543, 7941, 519, 811, 1004, 610, 1919, 264, 547, 581, 269, 1215, 2575, 13462, 1004, 538, 713, 3390, 27095, 5324, 476, 1220, 280, 544, 19376, 535, 7949, 328, 2982, 602, 2575, 13462, 721, 910, 1256, 950, 2112, 11394, 547, 7941, 23031, 281, 2848, 557, 795, 887, 11420, 7615, 269, 9050, 2081, 2575, 18791, 1514, 7554, 972, 568, 1945, 827, 6947, 547, 2575, 267, 610, 4730, 621, 609, 824, 1004, 267, 602, 6770, 922, 1378, 1514, 18388, 267, 1818, 596, 269, 1133, 924, 10530, 1577, 519, 15194, 5049, 12152, 1076, 693, 513, 21340, 4838, 835, 540, 519, 1292, 4247, 540, 18381, 568, 547, 1265, 1913, 602, 798, 711, 7941, 855, 26595, 267, 602, 798, 563, 9989, 2575, 26595, 610, 7941, 721, 1762, 1004, 2066, 519, 2197, 2671, 741, 5784, 269, 1452, 476, 276, 5013, 2491, 13314, 781, 11972, 7292, 7941, 32338, 3241, 19052, 1505, 626, 3134, 4593, 29914, 5939, 1310, 513, 2527, 15246, 693, 519, 5939, 7166, 8370, 1004, 538, 1347, 31760, 267, 1085, 267, 593, 795, 2317, 476, 736, 267, 476, 1001, 276, 269, 6496, 2575, 7941, 1004, 610, 26595, 1004, 2029, 13462, 1004, 1247, 824, 14659, 621, 17337, 1004, 630, 325, 1400, 4528, 264, 2029, 2221, 568, 3238, 538, 1169, 851, 540, 707, 3232, 1272, 563, 5719, 2718, 609, 4655, 538, 519, 4130, 5939, 26777, 741, 3604, 543, 1413, 3564, 519, 4620, 1399, 29170, 14843, 602, 7941, 1004, 713, 666, 1419, 4161, 1004, 547, 269, 634, 2528, 540, 519, 7013, 8087, 2829, 267, 543, 2686, 15523, 3136, 547, 7941, 519, 909, 12248, 787, 610, 14629, 2528, 543, 12563, 1811, 540, 519, 1004, 540, 519, 5045, 269, 20266, 14115, 12034, 10764, 607, 513, 4020, 5921, 547, 26595, 267, 855, 602, 811, 1419, 5932, 11634, 3359, 543, 2016, 782, 519, 7526, 1934, 1851, 5132, 338, 543, 1004, 540, 5132, 267, 1946, 814, 972, 1044, 865, 2370, 269, 634, 1158, 32316, 585, 4708, 8843, 513, 1455, 6125, 609, 519, 22294, 3661, 540, 519, 705, 340, 546, 4725, 328, 13037, 602, 2575, 543, 2528, 616, 2189, 538, 741, 4222, 547, 26595, 543, 3142, 1004, 1927, 269, 1215, 2575, 7554, 721, 1927, 5310, 602, 781, 1946, 267, 950, 596, 1616, 1004, 547, 6125, 267, 2575, 568, 513, 2067, 4199, 585, 1818, 602, 4755, 2436, 693, 30145, 267, 1514, 563, 15161, 5288, 5907, 7544, 2575, 5907, 7544, 2575, 267, 811, 1419, 5219, 607, 1196, 332, 267, 568, 513, 16496, 9135, 540, 2575, 267, 799, 7740, 538, 959, 766, 267, 2777, 267, 11636, 543, 1099, 334, 267, 922, 5304, 1373, 1851, 6502, 476, 1556, 547, 476, 1839, 2519, 538, 519, 1148, 540, 513, 546, 329, 7900, 513, 6024, 546, 329, 1305, 269, 9177, 543, 1514, 1362, 1303, 7811, 5380, 547, 737, 22611, 2261, 343, 267, 1004, 781, 1514, 1362, 8087, 2829, 547, 1106, 513, 4074, 5428, 7819, 6530, 267, 513, 269, 8535, 1148, 1299, 1374, 26725, 1299, 5925, 945, 2640, 689, 513, 5258, 31564, 811, 1004, 982, 596, 9364, 1589, 855, 2877, 1945, 899, 1786, 343, 527, 547, 8710, 721, 883, 2324, 856, 1141, 519, 17337, 2731, 9114, 269, 898, 666, 26595, 1004, 676, 14304, 741, 4978, 267, 2147, 15055, 267, 543, 16919, 2575, 568, 8471, 1256, 952, 621, 568, 538, 513, 1893, 596, 666, 1174, 596, 666, 1745, 621, 269, 27227, 2575, 814, 711, 1152, 7471, 1004, 538, 519, 8087, 2829, 267, 855, 849, 4547, 873, 1927, 18368, 621, 814, 1044, 6766, 676, 3791, 1158, 2477, 971, 607, 32204, 13314, 267, 21562, 267, 519, 1647, 7532, 267, 543, 15242, 630, 342, 17742, 517, 267, 476, 1960, 275, 563, 24523, 8039, 875, 2575, 5540, 12322, 875, 2575, 5540, 12322, 795, 2317, 476, 1321, 267, 476, 1220, 280, 676, 544, 926, 600, 1094, 3975, 8988, 267, 1159, 603, 26165, 267, 1007, 26294, 621, 781, 1175, 602, 1004, 602, 798, 5061, 6140, 6432, 547, 22850, 476, 274, 1775, 269, 8535, 3377, 2511, 3377, 7616, 585, 8473, 3774, 538, 7836, 3915, 17337, 11122, 2510, 543, 10661, 14081, 753, 519, 7819, 1004, 4769, 1405, 1528, 24339, 1846, 547, 1852, 519, 8087, 2829, 269, 5269, 1250, 7772, 2347, 676, 1373, 540, 519, 1482, 2247, 267, 4509, 519, 1482, 2648, 267, 8087, 538, 6891, 267, 8247, 593, 835, 3483, 267, 630, 874, 559, 476, 273, 281, 273, 264, 835, 540, 519, 4191, 540, 19980, 6470, 630, 6420, 532, 689, 519, 5168, 264, 538, 519, 22344, 5939, 568, 519, 536, 1157, 1359, 543, 771, 29774, 1851, 13171, 2103, 795, 4615, 1767, 602, 519, 1158, 1131, 917, 602, 269, 4014, 621, 781, 519, 10529, 945, 26595, 610, 32692, 267, 1893, 1419, 23327, 1018, 1770, 525, 610, 17337, 1004, 2443, 543, 10409, 18441, 1419, 1265, 741, 1318, 547, 946, 741, 5065, 1893, 16094, 563, 24523, 1770, 525, 1004, 1775, 1589, 621, 666, 798, 1312, 267, 1590, 6140, 26595, 267, 1775, 4126, 4779, 12103, 543, 6264, 2742, 910, 689, 519, 10726, 956, 543, 519, 12902, 10007, 5736, 855, 1775, 849, 2648, 4779, 345, 691, 269, 13891, 622, 827, 798, 519, 522, 9805, 923, 3142, 519, 1158, 1927, 610, 5094, 621, 2417, 281, 8994, 25621, 585, 2773, 543, 5578, 26595, 1004, 693, 519, 522, 9805, 923, 269, 1306, 513, 8471, 1893, 267, 2575, 1770, 525, 1004, 2066, 4529, 543, 666, 4313, 1004, 538, 2053 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 274, 454, 763, 6228, 540, 2696, 814, 1044, 513, 2243, 2094, 519, 2856, 540, 2696, 729, 22885, 29439, 26075, 13290, 547, 6961, 2696, 32075, 338, 6228, 267, 543, 547, 1397, 602, 972, 568, 1510, 513, 8969, 1945, 5007, 547, 3283, 1378, 6228, 269, 1261, 568, 3168, 585, 513, 17386, 22979, 267, 513, 5748, 585, 799, 646, 666, 3490, 782, 540, 1010, 4978, 543, 917, 602, 789, 616, 3020, 269, 29439, 26075, 32075, 2949, 1788, 568, 547, 1265, 513, 17386, 22979, 593, 799, 646, 666, 3490, 782, 1010, 3267, 6478, 4032, 281, 476, 9340, 272, 1923, 8525, 4032, 281, 476, 275, 454, 21026, 3979, 29787, 543, 2110, 3613, 800, 5856, 267, 945, 4607, 17587, 15356, 585, 9085, 538, 476, 1960, 272, 269, 717, 867, 25534, 32075, 338, 1292, 4798, 616, 24815, 267, 20420, 543, 2178, 2797, 11685, 2509, 7292, 17478, 269, 2701, 729, 513, 15713, 4759, 540, 6837, 540, 3162, 3979, 19536, 267, 543, 1256, 693, 519, 4463, 540, 519, 32044, 12512, 267, 1352, 2760, 2808, 6028, 1200, 2197, 563, 301, 611, 710, 717, 867, 25534, 729, 4535, 883, 513, 1134, 11325, 1920, 538, 25951, 267, 3267, 6478, 4032, 281, 476, 8099, 278, 1923, 8525, 4032, 281, 476, 277, 454, 1862, 519, 2836, 328, 7047, 601, 269, 2836, 328, 32075, 338, 1390, 4222, 6013, 538, 922, 3892, 3267, 6478, 4032, 281, 476, 16328, 275, 1923, 8525, 4032, 281, 476, 277, 454, 299, 338, 323, 1656, 6301, 6894, 476, 3422, 271, 338, 9012, 454, 1862, 799, 621, 729, 5189, 269, 589, 5326, 540, 2724, 267, 1967, 267, 543, 513, 3267, 5784, 543, 8369, 540, 519, 1977, 2247, 267, 538, 1267, 12018, 519, 3267, 5354, 1848, 1635, 476, 3192, 271, 267, 476, 4817, 260, 540, 1977, 10820, 1185, 513, 8613, 1305, 3267, 4998, 540, 1977, 1143, 610, 519, 1398, 663, 3195, 269, 589, 2631, 540, 4313, 538, 3267, 689, 519, 2856, 540, 519, 1398, 663, 3195, 543, 4843, 3294, 607, 513, 3267, 6478, 4032, 281, 476, 4489, 272, 1923, 8525, 4032, 281, 476, 279, 454, 293, 28216, 4503, 538, 2696, 454, 293, 28216, 4503, 538, 2696, 454, 293, 28216, 23452, 769, 2696, 454, 763, 1433, 13957, 676, 4432, 773, 654, 19342, 267, 6645, 513, 1650, 827, 513, 1762, 3909, 7911, 945, 5956, 547, 454, 331, 846, 1010, 5132, 538, 2696, 693, 971, 606, 2038, 2085, 269, 634, 1433, 9388, 609, 519, 32333, 607, 1134, 607, 519, 454, 24593, 18384, 799, 814, 5949, 1282, 519, 14195, 543, 693, 519, 13303, 5834, 13122, 269, 634, 454, 9767, 978, 7911, 3957, 4432, 773, 654, 19342, 9388, 609, 519, 2669, 540, 1010, 1920, 607, 1134, 607, 519, 11213, 2053, 3267, 6478, 4032, 281, 476, 278, 1691, 1923, 8525, 4032, 281, 476, 275, 454, 2690, 1082, 5553, 1004, 616, 3843, 547, 1174, 741, 8129, 269, 1358, 1616, 547, 917, 875, 1705, 789, 2408, 538, 713, 7122, 543, 1018, 585, 269, 1306, 789, 666, 711, 3313, 621, 1210, 3621, 1935, 610, 2491, 621, 538, 1169, 1554, 1913, 789, 3323, 1818, 909, 1114, 2984, 267, 2870, 10764, 543, 1381, 338, 799, 616, 6322, 547, 2491, 693, 2547, 547, 930, 6708, 891, 2042, 543, 1265, 4267, 547, 891, 2055, 269, 769, 4641, 891, 2984, 798, 711, 3267, 6478, 4032, 281, 476, 15782, 272, 1923, 8525, 4032, 281, 476, 276, 454, 763, 6574, 6219, 2479, 454, 2704, 4022, 269, 1548, 513, 8748, 6219, 256, 898, 666, 16578, 782, 5686, 540, 5759, 883, 1346, 945, 723, 9039, 269, 898, 666, 2490, 596, 689, 513, 1165, 569, 18174, 883, 513, 32263, 610, 1807, 267, 689, 8229, 20739, 1188, 883, 6004, 269, 30151, 5128, 269, 1809, 607, 609, 782, 1434, 1919, 267, 621, 849, 814, 513, 4158, 2427, 799, 2982, 909, 519, 6640, 1310, 281, 10361, 5995, 267, 15353, 543, 2489, 21994, 269, 4706, 1198, 593, 519, 4617, 786, 539, 666, 849, 3006, 581, 2942, 267, 1818, 873, 2909, 326, 267, 3267, 6478, 4032, 281, 476, 4366, 277, 1923, 8525, 4032, 281, 476, 273, 454, 28959, 568, 3812, 538, 513, 6046, 19720, 950, 25268, 10880, 28800, 1756, 8444, 4929, 873, 547, 31612, 538, 513, 6024, 5832, 5114, 269, 6513, 2609, 267, 799, 616, 1500, 540, 2326, 602, 10110, 25268, 267, 616, 5116, 1851, 519, 4492, 32234, 269, 1879, 519, 1852, 2609, 267, 610, 1852, 22203, 607, 789, 616, 1419, 1572, 267, 616, 15504, 856, 540, 519, 4295, 267, 811, 25268, 616, 2139, 543, 519, 5832, 5114, 11250, 909, 267, 6721, 811, 3002, 269, 1879, 789, 616, 17332, 3267, 6478, 4032, 281, 476, 277, 1240, 1923, 8525, 4032, 281, 476, 274, 454, 1862, 1360, 6297, 563, 1607, 2029, 568, 1390, 855, 972, 568, 4986, 1732, 3267, 1360, 18822, 20620, 296, 723, 1079, 1390, 1453, 543, 789, 616, 1250, 3267, 6478, 4032, 281, 476, 2004, 278, 1923, 8525, 4032, 281, 476, 274, 454, 290, 25377, 710, 568, 519, 1034, 4922, 1031, 3075, 538, 519, 454, 16447, 269, 898, 568, 606, 2500, 8102, 656, 540, 519, 3844, 454, 333, 969, 748, 1062, 543, 538, 1804, 5666, 666, 3132, 454, 1495, 525, 10928, 2427, 2360, 971, 607, 281, 8401, 1145, 267, 20026, 2676, 1905, 573, 543, 12150, 2295, 2041, 1846, 267, 11506, 1973, 4006, 454, 663, 8501, 2157, 267, 4430, 7181, 3679, 267, 543, 454, 24711, 14315, 269, 9122, 593, 938, 18106, 1702, 540, 2427, 454, 516, 13905, 547, 14933, 267, 3267, 6478, 4032, 281, 476, 277, 1626, 1923, 8525, 4032, 281, 476, 1321, 454, 1862, 14411, 8732, 16394, 616, 2921, 538, 1390, 454, 26920, 338, 540, 2724, 12422, 269, 16629, 3626, 3267, 938, 454, 324, 1595, 344, 269, 6271, 22429, 540, 1977, 781, 26311, 2724, 883, 938, 3267, 6478, 4032, 281, 476, 278, 1626, 1923, 8525, 4032, 281, 476, 274, 454, 1911, 13012, 2986, 3752, 3363, 454, 1862, 19533, 1496, 288, 675, 331, 10730, 4940, 888, 763, 29962, 814, 1390, 14336, 4800, 543, 15754, 689, 1346, 3267, 585, 1018, 454, 294, 518, 514, 601, 4777, 7125, 519, 7790, 15124, 27565, 5428, 267, 286, 589, 675, 331, 10730, 32141, 602, 3267, 814, 3274, 1044, 1776, 5824, 1977, 1379, 1404, 269, 19452, 2676, 288, 675, 331, 10730, 568, 3267, 6478, 4032, 281, 476, 279, 8064, 1923, 8525, 4032, 281, 476, 275, 454, 2419, 320, 657, 538, 4622, 1059, 910, 607, 1201, 548, 322, 454, 2419, 320, 657, 538, 4622, 1059, 910, 607, 1201, 548, 322, 454, 288, 3926, 799, 9956, 1419, 8246, 547, 6655, 519, 10539, 543, 14784, 1369, 519, 4729, 540, 1010, 4249, 267, 568, 519, 8086, 540, 602, 10539, 543, 14784, 538, 519, 2067, 1604, 540, 519, 4259, 267, 2059, 609, 16750, 22114, 543, 3662, 4337, 7685, 269, 769, 3751, 3231, 267, 891, 3457, 616, 1031, 547, 5968, 519, 4729, 267, 799, 568, 24298, 676, 3794, 537, 31569, 607, 912, 1993, 9553, 2501, 896, 519, 12605, 281, 3267, 6478, 4032, 281, 476, 9818, 271, 1923, 8525, 4032, 281, 476, 277, 454, 13563, 6554, 7232, 21643, 1977, 6554, 7232, 21643, 454, 7197, 540, 519, 3267, 971, 8456, 454, 577, 6548, 1282, 519, 4279, 12870, 538, 519, 476, 4350, 271, 32075, 338, 3267, 519, 3914, 540, 1082, 1977, 3885, 269, 6271, 1390, 5413, 540, 713, 1062, 3267, 814, 2854, 912, 257, 9213, 519, 7819, 2804, 1062, 814, 3812, 454, 7758, 8271, 3267, 6478, 4032, 281, 476, 13136, 274, 1923, 8525, 4032, 281, 476, 866, 454, 295, 600, 7410, 3004, 11551, 4469, 1177, 454, 295, 600, 7410, 3004, 11551, 4469, 1177, 454, 295, 600, 2280, 32075, 338, 4583, 1151, 559, 13228, 344, 630, 295, 600, 2280, 267, 957, 8633, 267, 6429, 476, 272, 264, 2982, 1010, 3178, 543, 2702, 538, 3206, 267, 543, 2982, 9956, 32075, 338, 2702, 547, 13861, 1893, 269, 10801, 519, 1404, 267, 17283, 13515, 547, 1589, 1354, 9117, 593, 4376, 269, 634, 811, 646, 14659, 267, 519, 1447, 646, 1281, 269, 4475, 267, 3206, 3366, 1864, 547, 8969, 267, 799, 3366, 547, 538, 9146, 269, 834, 13295, 25903, 1281, 1118, 10800, 1841, 540, 721, 782, 1701, 17283, 32075, 338, 834, 339, 4048, 545, 16950, 257, 568, 1010, 3267, 6478, 4032, 281, 476, 30525, 1923, 8525, 4032, 281, 476, 273, 454, 763, 2422, 540, 10466, 1143, 585, 519, 13082, 12752, 454, 1862, 543, 2942, 2360, 593, 519, 1977, 4346, 269, 17497, 519, 24657, 538, 3267, 1267, 540, 519, 7496, 13684, 267, 1977, 6800, 786, 2628, 811, 585, 4429, 9827, 4299, 786, 581, 1022, 1977, 2872, 602, 3096, 5374, 543, 3267, 5374, 2872, 814, 4957, 513, 1390, 4308, 538, 519, 2063, 8717, 3267, 6478, 4032, 281, 476, 279, 4037, 1923, 8525, 4032, 281, 476, 277, 454, 1862, 945, 2648, 835, 1776, 513, 1390, 4308, 269, 1855, 839, 723, 3023, 1317, 3267, 6478, 4032, 281, 476, 28656, 1923, 8525, 4032, 281, 476, 273, 454, 763, 1955, 325, 1656, 634, 6601, 1777, 517, 28418, 13531, 906, 454, 1862, 538, 6792, 543, 824, 5824, 1977, 2477, 267, 519, 2360, 593, 4000, 3267, 519, 3463, 540, 519, 5824, 1977, 2477, 8108, 513, 7963, 7047, 601, 3267, 1544, 1705, 585, 519, 5824, 1977, 2477, 269, 2368, 2055, 723, 818, 17470, 3267, 6478, 4032, 281, 476, 31979, 280, 1923, 8525, 4032, 281, 476, 1626, 0, 763, 2549, 626, 611, 267, 849, 1634, 607, 2136, 2276, 642, 269, 8644, 749, 1218, 543, 28787, 1218, 540, 519, 454, 19913, 3019, 518, 2549, 626, 611, 23099, 907, 20999, 13643, 262, 3370, 23688, 4176, 593, 519, 2549, 626, 611, 281, 634, 454, 306, 15676, 540, 513, 32013, 4860, 27117, 543, 4706, 8177, 593, 2549, 2483, 8649, 626, 611, 4573, 4176, 267, 630, 20809, 476, 273, 267, 476, 8146, 280, 1070, 10553, 18326, 602, 3576, 1747, 593, 519, 10553, 6928, 454, 8649, 626, 611, 2282, 519, 5032, 540, 18010, 543, 1185, 1271, 2797, 543, 3656, 4429, 32481, 476, 275, 281, 876, 513, 6230, 269, 593, 5147, 476, 273, 267, 476, 8146, 280, 267, 9478, 595, 22055, 2946, 3366, 513, 10553, 4573, 4176, 593, 4604, 454, 1492, 5053, 11634, 3019, 518, 2549, 626, 611, 930, 476, 736, 5195, 1055, 7187, 18010, 269, 634, 27693, 1305, 454, 8649, 626, 611, 23688, 4176, 18984, 643, 832, 6154, 539, 4728, 476, 280, 267, 476, 7277, 272, 269, 7201, 595, 22055, 2946, 781, 5718, 267, 519, 454, 332, 583, 710, 619, 838, 1563, 519, 1272, 540, 519, 2549, 626, 611, 4044, 1807, 267, 19280, 1864, 547, 13743, 519, 6928, 4429, 8649, 626, 611, 23688, 4176, 18984, 643, 832, 6154, 539, 4728, 476, 280, 267, 476, 7277, 272, 269, 14348, 596, 2864, 5884, 982, 6336, 454, 20365, 5191, 286, 2859, 982, 476, 5611, 1296, 3516, 267, 513, 1895, 540, 1004, 689, 519, 4639, 3979, 454, 14257, 476, 277, 267, 476, 1001, 272, 3267, 769, 476, 8146, 280, 267, 20338, 4371, 27604, 676, 8418, 951, 15148, 1540, 543, 10288, 519, 2549, 626, 611, 781, 12284, 454, 1729, 2132, 547, 4000, 269, 1717, 267, 519, 6928, 729, 9676, 538, 7043, 4429, 763, 2549, 626, 611, 23688, 4176, 269, 589, 14082, 8418, 591, 12349, 20338, 538, 4639, 4000, 563, 9558, 19959, 547, 519, 12144, 267, 519, 3061, 1161, 1336, 2933, 538, 519, 3946, 540, 454, 22826, 2060, 26671, 281, 763, 2549, 626, 611, 8865, 269, 834, 269, 1547, 1547, 1142, 540, 873, 616, 25165, 540, 454, 22152, 320, 543, 941, 4535, 1863, 267, 543, 2479, 2094, 723, 1044, 543, 1869, 540, 1318, 616, 543, 4429, 290, 2194, 1161, 593, 5487, 2549, 626, 611, 4339, 1394, 543, 1491, 936, 519, 6928, 269, 29460, 1863, 2676, 6011, 1197, 267, 568, 513, 1454, 2173, 648, 7294, 563, 8649, 626, 611, 23688, 4176, 269, 769, 476, 8146, 280, 8277, 22859, 714, 12349, 476, 5392, 10437, 538, 32147, 3570, 267, 18010, 269, 2060, 454, 20130, 3659, 267, 31883, 22757, 345, 267, 945, 1185, 9715, 2185, 1007, 10437, 267, 22859, 714, 21534, 10548, 517, 3267, 0, 19770, 12700, 281, 1705, 596, 917, 602, 1862, 3624, 568, 519, 1158, 781, 1034, 29245, 2197, 267, 609, 454, 1478, 476, 272, 269, 4343, 5479, 1004, 267, 543, 519, 2034, 28376, 2197, 676, 2244, 1858, 888, 18794, 721, 1934, 693, 2817, 22127, 8866, 547, 3605, 476, 1789, 3579, 5013, 827, 3624, 563, 5804, 3624, 781, 16873, 543, 4583, 900, 30752, 547, 922, 6909, 7320, 543, 4429, 19770, 12700, 585, 8866, 269, 6258, 930, 4277, 1344, 827, 3624, 1247, 454, 523, 2809, 532, 513, 2039, 540, 1187, 5013, 543, 31851, 602, 781, 3501, 585, 3214, 256, 3367, 827, 519, 454, 9802, 476, 275, 267, 476, 1220, 280, 3267, 15932, 3624, 5013, 267, 1519, 18563, 267, 2797, 5322, 267, 1148, 543, 3332, 2676, 933, 777, 517, 787, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19299, 9583, 7543, 6639, 10124, 971, 607, 4672, 543, 22197, 269, 9282, 7620, 25323, 607, 30081, 8945, 2044, 676, 1082, 27142, 267, 9253, 638, 328, 3547, 685, 18563, 5555, 7118, 7839, 25621, 543, 10343, 5103, 741, 7805, 1219, 4800, 540, 3621, 4031, 269, 3371, 514, 6013, 835, 540, 519, 3844, 4557, 1218, 540, 9589, 17779, 281, 2864, 982, 8156, 9735, 20825, 607, 9058, 22114, 8506, 7778, 267, 9589, 1483, 626, 3332, 26779, 873, 16900, 1369, 4948, 1272, 780, 1607, 1935, 11438, 7096, 6286, 585, 938, 1620, 540, 7810, 640, 269, 1879, 5185, 609, 9259, 3544, 519, 7706, 540, 7787, 8223, 267, 2757, 3864, 26381, 3098, 1522, 3343, 547, 30387, 267, 2491, 2476, 267, 610, 1256, 32135, 891, 2833, 15587, 269, 1717, 267, 676, 16561, 543, 3339, 1944, 9589, 2609, 1510, 759, 15659, 547, 5786, 2065, 3137, 267, 25661, 17144, 631, 5451, 337, 4302, 345, 3091, 4244, 2081, 540, 6616, 3564, 1346, 13684, 2390, 32519, 9082, 269, 5047, 267, 676, 27733, 891, 14501, 538, 6382, 27217, 6381, 267, 646, 19156, 519, 17381, 543, 6988, 7915, 538, 1875, 8862, 3480, 23381, 338, 4749, 15763, 610, 3954, 580, 3603, 896, 7810, 20816, 780, 1103, 1840, 547, 922, 1016, 11437, 540, 5375, 19815, 2438, 10850, 267, 2290, 25569, 13012, 540, 3752, 3363, 849, 31886, 519, 7518, 5511, 4229, 25793, 14414, 676, 7810, 29678, 269, 589, 6305, 14745, 4386, 950, 4600, 6964, 676, 519, 2136, 22500, 7577, 1765, 16347, 539, 1310, 519, 25337, 2136, 22500, 15278, 5665, 2429, 6239, 543, 3162, 3013, 1765, 23438, 909, 538, 18326, 1152, 547, 581, 2527, 659, 1042, 676, 2229, 10136, 9117, 538, 2458, 4288, 609, 2754, 4690, 269, 3414, 713, 2680, 267, 25661, 17144, 631, 5451, 337, 4302, 345, 8711, 519, 14042, 4539, 530, 3754, 676, 683, 4377, 11102, 16851, 593, 2199, 2950, 267, 2417, 20392, 519, 11972, 23543, 540, 7810, 5208, 780, 2026, 7152, 1657, 267, 18637, 7434, 25661, 17144, 631, 5451, 337, 4302, 345, 779, 4012, 3563, 658, 3209, 2290, 25569, 13012, 540, 3752, 3363, 28837, 875, 9589, 17779, 666, 4196, 607, 513, 3532, 1907, 585, 28160, 1436, 3646, 269, 1635, 4101, 6671, 7326, 4478, 1018, 13054, 968, 516, 1275, 892, 543, 32215, 532, 519, 5030, 2833, 540, 13840, 12790, 5095, 267, 25661, 17144, 631, 5451, 337, 4302, 345, 20217, 721, 547, 4952, 1007, 7399, 585, 1514, 7004, 269, 898, 568, 1100, 4898, 1287, 602, 1010, 1568, 3136, 547, 13469, 865, 7184, 1851, 5640, 543, 2489, 3988, 7567, 282, 8197, 267, 789, 1796, 15266, 547, 519, 13710, 1761, 24353, 1369, 3332, 3294, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 4910, 12371, 20616, 640, 281, 3973, 543, 3767, 257, 5497, 585, 2852, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 9622, 10885, 540, 5375, 19525, 2580, 834, 274, 269, 16520, 543, 2686, 2994, 540, 4187, 2580, 834, 275, 269, 3525, 525, 540, 4187, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 276, 269, 22439, 543, 5931, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 276, 269, 272, 269, 1772, 8475, 717, 826, 341, 4673, 2580, 834, 276, 269, 273, 269, 18280, 2088, 632, 16527, 639, 334, 2580, 834, 276, 269, 274, 269, 4432, 5549, 320, 25661, 559, 553, 334, 2580, 834, 276, 269, 275, 269, 29813, 4236, 3570, 2580, 834, 276, 269, 276, 269, 3244, 11252, 12157, 6403, 12534, 2580, 834, 276, 269, 277, 269, 7579, 320, 570, 2077, 17505, 2580, 834, 276, 269, 278, 269, 8125, 341, 2088, 744, 322, 2086, 334, 2580, 834, 276, 269, 279, 269, 808, 5282, 30511, 16907, 2471, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 276, 269, 280, 269, 28792, 25661, 17144, 631, 5451, 337, 4302, 345, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538, 519, 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269, 0, 8080, 547, 519, 4241, 1158, 540, 2780, 2257, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 930, 3579, 1919, 602, 616, 8345, 538, 713, 2361, 543, 875, 789, 1764, 938, 3232, 2729, 269, 1284, 786, 1451, 827, 3906, 267, 19014, 267, 543, 17758, 1644, 547, 2780, 2257, 780, 5575, 267, 1577, 781, 2911, 827, 8028, 300, 267, 799, 6763, 585, 5948, 585, 17270, 7557, 10320, 269, 898, 781, 899, 513, 2462, 8630, 585, 1004, 945, 2648, 5904, 543, 2029, 256, 1358, 723, 2027, 2516, 1572, 834, 22492, 9314, 20492, 257, 610, 834, 306, 5456, 338, 257, 585, 2110, 269, 1452, 2516, 1445, 593, 1114, 2127, 1369, 2780, 2257, 267, 971, 607, 3782, 267, 5841, 4987, 267, 543, 1164, 26024, 7384, 269, 6884, 267, 891, 2516, 8831, 2474, 585, 741, 3401, 865, 789, 666, 3136, 3257, 1390, 960, 780, 3086, 267, 1018, 781, 513, 10554, 286, 6056, 540, 621, 899, 513, 5458, 5870, 1141, 1004, 2671, 1007, 2093, 543, 1382, 4681, 269, 8950, 3744, 5531, 693, 891, 19014, 547, 1865, 2487, 7760, 543, 2104, 8846, 538, 741, 4610, 269, 2311, 835, 971, 2680, 267, 1572, 670, 299, 293, 476, 273, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3722, 300, 16588, 15187, 910, 5181, 476, 2190, 267, 476, 1708, 271, 454, 8702, 547, 519, 5181, 476, 1708, 271, 7160, 540, 8028, 300, 16588, 15187, 267, 8744, 596, 519, 1158, 540, 8028, 300, 543, 3564, 269, 10812, 519, 1082, 18125, 540, 8028, 300, 609, 938, 20394, 540, 4759, 2238, 543, 2621, 269, 3367, 2250, 2152, 540, 16588, 15187, 2228, 693, 4179, 2517, 4178, 28482, 332, 3820, 8276, 20047, 1222, 270, 659, 332, 2173, 1897, 6339, 268, 1105, 633, 563, 20826, 476, 2190, 267, 476, 1708, 271, 454, 268, 8028, 300, 7981, 9314, 20492, 6987, 2056, 16301, 454, 268, 670, 299, 293, 476, 1708, 271, 14044, 10985, 17972, 19877, 338, 609, 8028, 300, 13815, 5589, 760, 1801, 267, 12182, 13445, 19937, 593, 16195, 454, 268, 8028, 300, 5487, 31708, 834, 15675, 338, 2437, 10374, 29812, 540, 4804, 8249, 4354, 730, 676, 20226, 454, 268, 8028, 300, 23583, 13852, 7981, 15356, 585, 670, 15425, 15369, 5046, 268, 866, 3194, 11910, 585, 32633, 5209, 454, 268, 8028, 300, 13815, 32633, 1588, 4427, 3939, 30332, 454, 25321, 29052, 27301, 2464, 6730, 12601, 19006, 454, 268, 962, 9655, 7699, 15622, 1470, 547, 28423, 693, 3642, 585, 6153, 6820, 27169, 5181, 476, 3066, 454, 268, 623, 16898, 476, 1708, 271, 267, 5239, 476, 276, 547, 476, 278, 630, 26020, 994, 268, 590, 5456, 291, 8016, 476, 1708, 271, 267, 5239, 476, 276, 547, 476, 280, 630, 26020, 994, 268, 590, 5456, 25492, 476, 1708, 271, 267, 5239, 476, 278, 547, 476, 280, 630, 26020, 994, 268, 594, 7563, 9281, 476, 1708, 271, 267, 5239, 476, 1428, 547, 476, 1626, 630, 26020, 994, 268, 11483, 290, 310, 476, 1708, 271, 267, 5239, 476, 1704, 547, 476, 736, 630, 26020, 994, 268, 674, 7495, 306, 476, 1708, 271, 267, 5239, 476, 1240, 512, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5342, 538, 606, 1931, 569, 6752, 269, 634, 2480, 1090, 321, 2401, 6487, 602, 4524, 666, 849, 960, 269, 634, 2480, 1090, 321, 2401, 3217, 5413, 540, 519, 9073, 1004, 1118, 950, 789, 616, 11821, 269, 22582, 13212, 666, 1405, 581, 3379, 547, 13212, 267, 543, 1942, 16198, 1831, 7543, 547, 1118, 20193, 3217, 1582, 21873, 547, 3247, 513, 2480, 1090, 321, 2401, 269, 1452, 3268, 948, 281, 476, 272, 269, 5620, 519, 10100, 547, 2161, 267, 834, 296, 1810, 1405, 1174, 1701, 476, 273, 269, 5901, 6031, 834, 296, 1810, 1405, 1174, 257, 2394, 596, 798, 269, 476, 274, 269, 6184, 626, 602, 6927, 581, 5941, 835, 693, 513, 942, 269, 476, 275, 269, 25506, 602, 596, 798, 711, 723, 547, 2911, 827, 1919, 607, 519, 2480, 1090, 321, 2401, 6499, 596, 547, 269, 3399, 538, 707, 1378, 1259, 543, 1205, 519, 2480, 1090, 321, 2401, 2469, 1524, 707, 1899, 540, 7744, 269, 476, 276, 269, 5457, 26545, 17331, 666, 1394, 13933, 269, 634, 2480, 1090, 321, 2401, 666, 1831, 607, 11821, 607, 596, 616, 269, 476, 277, 269, 13772, 585, 519, 9073, 596, 616, 2386, 547, 1118, 269, 2659, 1883, 8878, 568, 547, 2760, 21907, 606, 3390, 2394, 596, 1174, 621, 269, 6657, 543, 10100, 948, 796, 2675, 1090, 1076, 519, 2480, 1090, 321, 2401, 19403, 811, 19314, 20288, 560, 16226, 513, 16505, 6658, 538, 13669, 802, 454, 4131, 721, 2015, 930, 2081, 547, 4104, 718, 2736, 23957, 1354, 789, 2182, 523, 883, 1279, 3856, 536, 1157, 1359, 610, 10617, 269, 634, 10372, 602, 1246, 786, 948, 1205, 588, 6817, 12909, 1394, 593, 3950, 269, 1358, 1450, 513, 7858, 328, 1807, 547, 25580, 27410, 2230, 585, 2911, 1510, 519, 2530, 540, 3068, 610, 29541, 1379, 585, 2901, 2427, 19403, 811, 19314, 268, 7827, 519, 942, 3337, 540, 2773, 269, 3502, 3388, 2115, 547, 581, 2944, 1631, 267, 1985, 3923, 610, 1985, 1032, 563, 268, 5192, 519, 948, 540, 2576, 1312, 5011, 666, 3972, 543, 2463, 547, 1199, 5573, 519, 3017, 269, 2334, 779, 1018, 519, 4457, 543, 5545, 798, 865, 3927, 563, 268, 1325, 614, 519, 1981, 2188, 602, 1118, 621, 9875, 585, 835, 2427, 610, 1312, 547, 2161, 968, 8133, 3034, 268, 7827, 519, 9165, 540, 960, 269, 1703, 568, 2141, 930, 4055, 585, 2285, 543, 1491, 538, 519, 960, 547, 581, 2944, 610, 519, 1259, 621, 568, 2944, 269, 15775, 883, 519, 3877, 5713, 547, 23822, 27410, 2230, 543, 1448, 519, 1259, 547, 11615, 540, 4674, 563, 268, 769, 1034, 16395, 267, 607, 519, 1439, 4485, 267, 519, 2040, 540, 12306, 2152, 3622, 856, 560, 686, 1186, 1346, 602, 616, 711, 269, 12321, 1328, 693, 519, 3349, 882, 8460, 519, 2856, 540, 6972, 856, 1310, 865, 1454, 814, 1044, 12913, 269, 898, 17188, 547, 973, 777, 527, 3634, 782, 6927, 2907, 12306, 543, 1346, 1869, 1930, 269, 634, 3666, 2356, 7957, 832, 3001, 593, 547, 19479, 563, 268, 14419, 952, 519, 7934, 602, 24508, 596, 666, 581, 10816, 3022, 7930, 281, 513, 2370, 1631, 267, 811, 2663, 543, 4625, 1985, 1032, 563, 268, 634, 1655, 1259, 267, 676, 2484, 267, 547, 2736, 606, 791, 21692, 568, 547, 12840, 609, 519, 824, 1268, 547, 3406, 585, 543, 3605, 513, 1732, 11460, 585, 1312, 5011, 269, 7827, 519, 7154, 540, 27410, 689, 519, 6671, 8013, 7154, 547, 835, 602, 568, 10319, 543, 5637, 8862, 514, 10378, 282, 602, 568, 267, 4947, 689, 606, 9247, 1582, 19721, 7154, 547, 835, 602, 11942, 8994, 2744, 269, 0, 306, 12944, 267, 4989, 476, 1691, 267, 476, 1001, 273, 454, 294, 800, 324, 334, 14418, 24484, 902, 281, 589, 1849, 29141, 6733, 454, 2691, 281, 998, 2904, 476, 2764, 267, 476, 1001, 273, 454, 1607, 568, 513, 1360, 1507, 8858, 910, 1152, 1614, 10367, 267, 799, 616, 14418, 24069, 2813, 538, 9705, 538, 519, 476, 1691, 628, 2540, 269, 4014, 519, 1568, 941, 9715, 676, 519, 28834, 476, 1911, 1296, 3516, 267, 789, 723, 2760, 1044, 10268, 1927, 1354, 563, 4322, 24069, 941, 6273, 676, 4457, 1148, 540, 519, 1974, 543, 941, 5497, 585, 2673, 13156, 538, 606, 15982, 4259, 269, 634, 5159, 13556, 593, 1312, 5011, 540, 519, 16536, 910, 513, 12576, 540, 519, 32021, 1276, 340, 1397, 693, 519, 2817, 20155, 256, 634, 24069, 941, 5497, 547, 1683, 513, 9153, 540, 20778, 547, 519, 21951, 282, 1346, 17596, 547, 581, 11324, 4240, 689, 22946, 538, 519, 1310, 5158, 1223, 2490, 547, 918, 3333, 527, 580, 16808, 3873, 267, 945, 19299, 513, 6999, 3766, 7949, 532, 13049, 563, 2467, 616, 1152, 476, 5611, 717, 800, 324, 334, 14418, 10367, 538, 519, 1158, 267, 543, 950, 891, 4773, 941, 12349, 267, 789, 941, 5156, 547, 581, 4457, 610, 5545, 269, 8307, 998, 593, 268, 4707, 1353, 729, 519, 5168, 4362, 269, 19759, 569, 267, 519, 1296, 723, 711, 1044, 2186, 547, 891, 1568, 282, 789, 616, 1454, 4158, 2989, 543, 519, 3877, 616, 2352, 547, 1118, 856, 269, 24664, 1176, 267, 14418, 7206, 11285, 932, 2426, 654, 26743, 752, 814, 1500, 513, 26278, 1353, 540, 519, 4773, 267, 543, 519, 3381, 593, 4159, 2982, 519, 3877, 602, 616, 1100, 3476, 7298, 593, 519, 5169, 1023, 563, 19723, 18743, 281, 31418, 1176, 7307, 538, 513, 12899, 5662, 543, 4277, 547, 1294, 513, 1397, 593, 11114, 1148, 282, 621, 4386, 547, 803, 602, 594, 1810, 1405, 1589, 594, 4312, 2938, 835, 1354, 269, 1411, 1223, 6292, 621, 609, 519, 3687, 537, 330, 7799, 3381, 602, 781, 1869, 4730, 538, 519, 535, 1195, 518, 269, 0, 763, 5800, 11681, 19829, 781, 3391, 281, 29458, 275, 268, 1626, 270, 1001, 273, 292, 6261, 5263, 454, 21893, 3391, 568, 2966, 547, 13173, 519, 29458, 289, 17245, 1412, 763, 5800, 11681, 3299, 799, 568, 3769, 538, 1412, 23895, 14896, 908, 519, 10348, 779, 27339, 808, 889, 850, 324, 1107, 11814, 528, 779, 9990, 3299, 513, 2027, 1079, 5937, 13748, 1305, 689, 519, 29458, 289, 538, 11812, 540, 519, 476, 2568, 4458, 12081, 540, 4173, 20727, 17965, 10348, 10906, 4083, 269, 634, 6651, 3091, 538, 3829, 4282, 827, 519, 7206, 1412, 291, 3554, 1180, 808, 889, 850, 324, 5800, 11681, 540, 10348, 10906, 4083, 1107, 476, 1001, 273, 262, 1496, 2421, 7376, 5845, 27672, 3910, 513, 2143, 29395, 267, 606, 1148, 1686, 29194, 593, 27461, 7206, 543, 513, 2039, 540, 4928, 2238, 585, 6281, 7400, 1053, 257, 734, 10666, 519, 6651, 267, 533, 269, 476, 272, 563, 347, 23430, 12458, 11765, 1475, 13233, 17912, 8274, 540, 4516, 8198, 347, 17138, 1475, 763, 5800, 11681, 19829, 781, 3391, 2008, 347, 8448, 5678, 661, 1885, 1475, 314, 23210, 316, 2008, 347, 16978, 3055, 11657, 1475, 11406, 22033, 4857, 607, 2895, 1882, 568, 3177, 585, 4704, 267, 1382, 610, 2594, 15209, 5301, 269, 898, 568, 711, 1641, 547, 519, 6554, 540, 4516, 5680, 11621, 543, 814, 711, 1044, 12012, 610, 8242, 2094, 621, 729, 2895, 1882, 269, 7490, 3346, 519, 1313, 327, 1681, 8257, 547, 7662, 513, 3898, 824, 982, 1346, 2139, 563, 2171, 16436, 596, 547, 5077, 519, 32279, 18542, 5999, 2985, 585, 3606, 1344, 3823, 519, 21444, 12474, 5469, 563, 9616, 281, 634, 15745, 338, 8659, 538, 713, 270, 28205, 3561, 4433, 264, 949, 1100, 3476, 581, 6198, 454, 347, 9616, 1475, 290, 1478, 2140, 269, 834, 1607, 3391, 729, 3812, 676, 29458, 289, 4065, 2319, 2818, 1855, 344, 595, 31857, 5069, 267, 25014, 773, 595, 675, 961, 267, 14732, 25391, 714, 26619, 543, 19863, 807, 24558, 1180, 6504, 334, 267, 609, 6351, 689, 8225, 3308, 7376, 5845, 27672, 267, 1148, 14787, 7812, 681, 3430, 2001, 543, 7788, 8475, 548, 1849, 719, 1512, 267, 10615, 267, 5398, 16457, 267, 8433, 540, 519, 14199, 547, 519, 17135, 4937, 257, 734, 290, 1042, 1080, 267, 533, 269, 476, 1015, 269, 9129, 4240, 849, 538, 3943, 896, 2140, 281, 2274, 17855, 267, 3391, 533, 2946, 323, 698, 690, 1664, 8198, 31871, 540, 9664, 1475, 1015, 533, 269, 2433, 2008, 347, 20428, 16301, 1475, 303, 31021, 267, 19019, 531, 2326, 2008, 268, 11261, 9168, 281, 0, 3519, 14673, 857, 639, 2813, 513, 23381, 602, 781, 538, 6266, 540, 24947, 11280, 689, 267, 543, 538, 32692, 609, 267, 5375, 2245, 269, 1306, 5576, 3861, 6920, 267, 519, 1259, 538, 799, 602, 5101, 7489, 4213, 616, 6417, 267, 875, 1894, 4497, 609, 835, 1776, 267, 543, 519, 1259, 6608, 1294, 741, 1599, 538, 2486, 782, 2039, 689, 519, 2343, 1369, 519, 4639, 1317, 540, 25230, 639, 779, 9434, 12705, 269, 25230, 639, 814, 1044, 20295, 609, 4758, 5101, 5607, 513, 22429, 538, 2221, 779, 2518, 267, 3842, 1128, 3739, 922, 2043, 609, 513, 20174, 547, 4974, 267, 543, 4412, 2454, 519, 3148, 779, 13075, 1646, 269, 20866, 267, 519, 27041, 814, 10123, 1044, 5458, 569, 23062, 762, 269, 1280, 519, 4505, 513, 4627, 1296, 267, 5101, 1306, 2103, 723, 9289, 952, 519, 7997, 666, 2490, 883, 2965, 17953, 344, 6466, 25230, 639, 5170, 547, 581, 865, 31737, 538, 2486, 269, 1261, 814, 1044, 22309, 585, 1102, 997, 1154, 519, 8635, 540, 21031, 267, 9513, 28974, 20816, 267, 543, 1139, 7675, 1480, 2924, 563, 8601, 1346, 9840, 267, 5101, 1306, 2103, 713, 1554, 616, 7432, 547, 25230, 639, 547, 5351, 873, 16185, 519, 476, 1571, 540, 2487, 6228, 3152, 982, 789, 4312, 3893, 538, 513, 2540, 269, 1306, 513, 25133, 543, 811, 543, 811, 7347, 5607, 14380, 693, 519, 2518, 4110, 267, 25230, 639, 267, 1932, 267, 786, 4971, 513, 3063, 12021, 2990, 538, 3486, 2528, 563, 307, 537, 4221, 593, 6138, 267, 3140, 2250, 267, 543, 1459, 12602, 267, 25230, 639, 6645, 519, 13085, 267, 10565, 9661, 540, 519, 28430, 1589, 518, 4171, 3741, 3251, 593, 519, 1647, 540, 5101, 7489, 10340, 563, 30022, 12744, 540, 25230, 639, 281, 1656, 519, 2622, 1261, 23095, 7300, 454, 16032, 13898, 2835, 454, 1432, 781, 6561, 543, 1946, 949, 1869, 649, 4983, 621, 286, 1772, 972, 713, 2186, 540, 3815, 607, 3504, 1249, 286, 1772, 4282, 513, 6639, 917, 24376, 286, 9247, 519, 1034, 3102, 12206, 693, 10367, 713, 1459, 1554, 267, 3627, 11066, 717, 611, 4134, 267, 3435, 1346, 543, 1114, 2055, 1282, 713, 5618, 267, 18854, 1399, 267, 543, 1480, 324, 552, 26247, 269, 634, 31858, 4821, 540, 4282, 6799, 513, 3168, 4983, 519, 14787, 781, 4739, 267, 538, 1840, 547, 513, 3532, 4661, 585, 1946, 513, 2025, 20185, 1058, 1869, 1888, 547, 721, 713, 1459, 1554, 563, 5804, 7605, 665, 641, 547, 519, 12910, 13541, 547, 18832, 5216, 267, 1100, 8523, 3152, 19306, 938, 4357, 12194, 5111, 6791, 982, 519, 2166, 321, 3073, 267, 519, 1367, 602, 568, 2901, 17145, 543, 5374, 267, 2247, 543, 11418, 269, 2943, 1589, 518, 543, 5042, 10196, 29871, 18412, 12034, 621, 538, 513, 1114, 1259, 269, 7261, 321, 3073, 338, 267, 646, 11339, 267, 2356, 616, 711, 4376, 547, 581, 21787, 734, 933, 2907, 616, 2166, 321, 3073, 338, 563, 1103, 28763, 4472, 1695, 281, 513, 2731, 5618, 4417, 267, 9478, 8355, 267, 835, 540, 1082, 1158, 781, 6305, 575, 32203, 593, 6014, 7793, 6291, 267, 20476, 1622, 513, 13801, 543, 5458, 569, 3169, 4983, 519, 3140, 2250, 543, 7209, 540, 513, 1906, 540, 519, 3889, 3710, 676, 1797, 540, 519, 740, 6254, 338, 540, 519, 28763, 4472, 1695, 269, 8355, 24259, 7646, 693, 519, 1082, 20887, 5111, 1018, 28763, 4472, 1695, 568, 543, 3884, 1405, 734, 10175, 922, 4296, 547, 9059, 267, 17651, 267, 620, 17057, 344, 267, 543, 6746, 1108, 734, 663, 646, 32514, 919, 519, 4276, 1851, 28763, 718, 1695, 543, 8567, 693, 519, 835, 1688, 543, 1715, 6520, 5132, 693, 519, 1114, 563, 1607, 6909, 1382, 540, 519, 2157, 1369, 519, 2247, 781, 26656, 1646, 689, 2656, 2631, 23655, 1145, 547, 519, 4087, 540, 513, 9836, 6138, 3568, 606, 2606, 1557, 543, 513, 5037, 8386, 24733, 4588, 1382, 540, 519, 21849, 1543, 547, 4217, 519, 5467, 10146, 713, 865, 1454, 16602, 543, 971, 513, 2603, 9565, 540, 670, 1122, 601, 781, 1568, 563, 268, 19537, 1233, 543, 31763, 1229, 454, 268, 670, 1122, 601, 781, 19750, 13898, 281, 21929, 10837, 607, 19078, 5020, 454, 268, 13207, 710, 540, 519, 4639, 267, 11730, 476, 272, 281, 4813, 543, 2920, 7081, 454, 268, 18573, 281, 589, 15020, 10374, 4985, 630, 25802, 10374, 13823, 2388, 994, 268, 15154, 1215, 547, 14970, 454, 268, 634, 4563, 6202, 6651, 547, 519, 13898, 540, 519, 4317, 7070, 630, 14937, 6202, 13898, 20929, 994, 21206, 2200, 585, 25230, 639, 281, 1656 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 2111, 547, 3132, 519, 1482, 4534, 952, 711, 811, 4534, 3977, 982, 3425, 538, 1978, 6080, 269, 898, 666, 581, 513, 2101, 30411, 547, 513, 2875, 855, 621, 666, 849, 581, 513, 1883, 1259, 547, 948, 513, 2875, 3356, 538, 1565, 269, 0, 347, 275, 628, 17263, 1216, 476, 1556, 269, 275, 630, 272, 1040, 297, 22333, 1475, 279, 5952, 269, 6246, 22995, 2008, 347, 275, 628, 17263, 1216, 476, 1556, 269, 275, 630, 273, 1040, 297, 22333, 1475, 8660, 273, 269, 2767, 22995, 2008, 347, 275, 628, 17263, 1216, 476, 1556, 269, 275, 630, 274, 1040, 297, 22333, 1475, 279, 5952, 269, 10619, 22995, 2008, 347, 275, 628, 17263, 1216, 476, 1556, 269, 275, 630, 275, 1040, 297, 22333, 1475, 26605, 269, 6321, 22995, 2008, 4002, 5437, 476, 275, 267, 476, 1001, 275, 634, 12389, 14136, 13985, 10740, 3357, 547, 3203, 4975, 16504, 1153, 547, 5657, 651, 547, 519, 8772, 17263, 827, 834, 5978, 946, 540, 1216, 2668, 1358, 1705, 513, 6881, 593, 1018, 4523, 950, 596, 4734, 3181, 686, 543, 13248, 6464, 538, 707, 8937, 1562, 269, 834, 8005, 6499, 547, 7669, 538, 519, 10720, 950, 782, 540, 1412, 10472, 262, 568, 538, 519, 10720, 8119, 729, 835, 2243, 602, 729, 4280, 543, 7152, 563, 10454, 18096, 27347, 11709, 568, 606, 3872, 23793, 1982, 6035, 676, 634, 12389, 14136, 13985, 10740, 547, 8772, 3446, 1053, 2429, 18096, 269, 634, 1543, 540, 938, 14245, 568, 4481, 2966, 547, 11282, 609, 519, 18096, 590, 622, 8433, 540, 4065, 779, 3163, 11759, 15099, 269, 4841, 616, 9415, 547, 3761, 1344, 543, 4217, 519, 1459, 619, 1282, 938, 7317, 6881, 1701, 0, 763, 8097, 22636, 540, 4672, 543, 5070, 268, 823, 1949, 568, 3379, 609, 11236, 1759, 2390, 29010, 3069, 269, 16544, 540, 519, 2326, 941, 5462, 896, 1585, 5210, 267, 1476, 1456, 12503, 267, 543, 15205, 3928, 1210, 6671, 2468, 32681, 13496, 4255, 269, 27842, 941, 967, 5034, 693, 11626, 2604, 1210, 6366, 5309, 2583, 543, 8325, 12311, 2471, 693, 1079, 15205, 3928, 543, 7229, 3196, 16162, 10293, 3347, 941, 5462, 585, 519, 13153, 631, 2478, 267, 4172, 331, 4861, 267, 543, 1612, 20326, 6556, 2175, 269, 18948, 540, 519, 2164, 540, 519, 6901, 609, 519, 26398, 6920, 602, 519, 3196, 16162, 10293, 3347, 585, 4672, 543, 5070, 268, 823, 5439, 666, 581, 4114, 13846, 1210, 29010, 3069, 563, 296, 1087, 826, 8791, 281, 10932, 14430, 454, 12749, 923, 281, 296, 576, 267, 21311, 640, 267, 590, 1343, 267, 2598, 10293, 267, 27321, 2604, 267, 3281, 1833, 267, 6156, 566, 267, 595, 9567, 558, 2125, 267, 1546, 4146, 267, 18323, 267, 11205, 2471, 454, 1607, 1543, 568, 1152, 2139, 3842, 7300, 563, 15648, 9736, 476, 3192, 276, 0, 8923, 2626, 519, 1739, 1614, 2055, 281, 476, 272, 269, 1548, 3604, 666, 596, 3713, 1063, 519, 6138, 540, 25230, 639, 543, 519, 6138, 1336, 538, 519, 667, 7776, 1546, 932, 532, 286, 2422, 10530, 547, 1118, 707, 2013, 630, 663, 13712, 799, 6648, 543, 799, 6031, 1040, 476, 273, 269, 1548, 19320, 798, 596, 1294, 1063, 741, 24866, 286, 11088, 267, 946, 10530, 547, 1118, 707, 2013, 630, 663, 13712, 799, 6648, 543, 799, 6031, 1040, 476, 274, 269, 1548, 1281, 667, 7776, 1546, 932, 532, 543, 1323, 531, 31637, 14377, 547, 538, 2296, 286, 681, 5699, 1018, 1296, 941, 891, 1568, 2854, 286, 1656, 945, 941, 519, 4890, 4589, 286, 0, 288, 1867, 540, 1126, 6057, 568, 1500, 1169, 4557, 7643, 538, 519, 2136, 2276, 269, 2334, 1797, 602, 1169, 1032, 267, 972, 616, 811, 982, 476, 275, 2929, 3277, 23552, 1500, 547, 1126, 4027, 8041, 269, 901, 568, 1946, 4989, 568, 2817, 4132, 18816, 10644, 13600, 269, 2817, 4132, 18816, 10644, 13600, 267, 568, 606, 5993, 2616, 766, 538, 519, 2136, 2276, 6131, 547, 9870, 4656, 543, 7303, 1126, 6057, 563, 3963, 18237, 20253, 1564, 286, 18237, 20253, 1564, 2099, 519, 1126, 3697, 627, 574, 1910, 543, 1769, 27329, 1145, 540, 513, 1158, 1141, 782, 1453, 1332, 909, 6126, 267, 2635, 267, 543, 5423, 547, 8011, 538, 11215, 3885, 563, 4415, 707, 948, 267, 7482, 6659, 1282, 713, 942, 1974, 786, 3142, 513, 5812, 2937, 883, 519, 1272, 540, 513, 1126, 945, 814, 4810, 6057, 543, 5924, 10714, 269, 7040, 2561, 31212, 7981, 25635, 919, 616, 16887, 8036, 547, 2327, 602, 519, 1126, 781, 2115, 616, 1373, 1558, 1282, 713, 2565, 942, 543, 3717, 909, 585, 741, 1655, 4690, 538, 5480, 563, 14188, 596, 547, 3025, 585, 5885, 713, 11036, 267, 1927, 649, 666, 1118, 938, 2146, 513, 8902, 543, 18668, 1747, 585, 3885, 547, 1332, 543, 8853, 269, 0, 20597, 760, 547, 3406, 454, 20597, 760, 547, 1292, 1543, 454, 17138, 6238, 609, 454, 12041, 630, 338, 9285, 676, 2140, 994, 24445, 1297, 630, 321, 12864, 994, 32459, 17662, 2160, 7732, 18280, 690, 454, 21093, 3323, 609, 18981, 1315, 11977, 16110, 563, 293, 867, 267, 11977, 630, 10955, 1189, 23745, 994, 26596, 12770, 267, 4993, 2433, 631, 6033, 9012, 267, 476, 1001, 277, 563, 272, 2228, 4199, 630, 15757, 3817, 264, 2433, 12383, 630, 16341, 2681, 994, 21093, 29035, 609, 18981, 568, 519, 17046, 4367, 547, 2324, 609, 10097, 18376, 543, 14541, 9008, 18981, 338, 267, 2854, 676, 519, 17082, 540, 519, 2442, 1930, 8800, 18981, 267, 519, 23426, 32634, 269, 7457, 1043, 476, 274, 291, 8228, 5189, 519, 13999, 547, 2780, 22306, 19605, 21753, 269, 1809, 519, 16212, 2427, 540, 602, 568, 10208, 633, 21753, 281, 3079, 540, 4946, 1570, 547, 1711, 513, 3337, 899, 513, 476, 274, 291, 17002, 1281, 267, 513, 18981, 6238, 609, 513, 4396, 4062, 540, 1570, 543, 3217, 2476, 689, 621, 269, 4014, 20522, 476, 274, 291, 23252, 666, 1118, 1390, 1919, 609, 5068, 267, 513, 18981, 666, 1286, 557, 3810, 14463, 4773, 856, 540, 513, 3625, 540, 11956, 267, 3574, 267, 543, 824, 2326, 269, 901, 1433, 6227, 519, 17950, 540, 8888, 585, 734, 663, 2324, 609, 734, 3530, 27522, 18121, 4335, 268, 259, 4968, 271, 264, 18981, 338, 563, 257, 23114, 7913, 28577, 566, 609, 23426, 32634, 543, 4033, 8950, 4211, 2632, 9776, 22748, 1562, 257, 734, 290, 1478, 563, 13126, 540, 6609, 454, 20373, 1759, 593, 2228, 4199, 282, 2140, 689, 7300, 2140, 2985, 630, 324, 1962, 776, 267, 9763, 5437, 476, 1015, 267, 476, 1001, 277, 1916, 21093, 3323, 609, 2780, 10230, 1852, 454, 23114, 3059, 21753, 609, 23426, 32634, 543, 824, 2780, 22306, 31425, 454, 13014, 630, 5353, 30807, 641, 565, 267, 2836, 604, 8094, 4263, 2212, 540, 2140, 454, 13750, 618, 593, 1893, 538, 6609, 454, 32459, 17662, 2160, 7732, 6663, 547, 4766, 5399, 2326, 538, 513, 6073, 602, 568, 16614, 547, 519, 2043, 543, 2950, 945, 1711, 267, 946, 267, 543, 616, 6719, 538, 519, 10070, 649, 4383, 563, 16485, 513, 7726, 454, 22296, 2248, 513, 4856, 14431, 454, 27751, 15053, 995, 5678, 454, 21093, 3323, 609, 18981, 2433, 2123, 3059, 21753, 609, 23426, 32634, 543, 824, 2780, 22306, 31425, 1315, 11977, 16110, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 292, 19645, 11710, 856, 607, 835, 538, 782, 519, 4909, 22225, 540, 519, 13055, 11769, 563, 2005, 814, 513, 12946, 593, 519, 6109, 779, 6940, 543, 20656, 267, 1312, 540, 1346, 1282, 519, 2110, 3856, 543, 1279, 3856, 269, 4014, 267, 552, 19645, 1949, 616, 6422, 269, 898, 786, 581, 16122, 799, 519, 1007, 7693, 540, 3401, 568, 3051, 344, 547, 519, 9867, 3344, 540, 519, 2359, 267, 799, 896, 6050, 519, 13766, 540, 552, 19645, 6454, 2553, 269, 901, 896, 6050, 519, 1448, 602, 1100, 835, 552, 19645, 1505, 1131, 3648, 11886, 519, 4170, 540, 519, 13539, 630, 293, 889, 11253, 541, 267, 476, 1001, 274, 1040, 634, 1646, 540, 552, 19645, 2409, 5526, 547, 723, 1044, 2556, 547, 707, 8446, 540, 3138, 2684, 3421, 538, 9867, 14078, 267, 799, 13514, 513, 3099, 540, 6286, 267, 9342, 543, 9993, 602, 27513, 519, 13539, 547, 707, 14909, 8905, 563, 292, 19645, 11942, 14017, 543, 22122, 1369, 606, 18294, 269, 898, 20674, 519, 8116, 547, 3132, 2818, 799, 723, 513, 3376, 5748, 540, 1702, 827, 519, 6990, 269, 661, 19645, 16881, 1007, 14375, 3347, 2059, 609, 519, 1983, 799, 1522, 581, 16601, 547, 519, 6109, 269, 2201, 519, 824, 1688, 267, 552, 19645, 2553, 2012, 585, 10373, 8804, 1942, 547, 519, 3919, 269, 769, 9759, 267, 621, 568, 2556, 602, 513, 3575, 540, 3435, 568, 1031, 865, 602, 519, 3919, 666, 2972, 689, 707, 9342, 1369, 519, 4388, 1500, 946, 540, 1247, 596, 616, 666, 576, 1782, 856, 519, 7687, 630, 306, 3291, 17879, 267, 476, 1001, 275, 1040, 661, 19645, 568, 835, 540, 519, 1655, 3811, 4388, 540, 6721, 15889, 12374, 11341, 547, 519, 2132, 593, 1022, 13258, 799, 729, 2944, 538, 2069, 269, 661, 19645, 25242, 519, 6197, 540, 519, 3919, 269, 898, 5963, 568, 11104, 3585, 15747, 538, 22212, 519, 9746, 2245, 543, 6721, 1565, 4213, 269, 898, 568, 2523, 2016, 602, 1028, 9285, 7606, 1522, 723, 3309, 3157, 585, 6061, 1360, 1454, 519, 1482, 8374, 269, 661, 19645, 2306, 1978, 602, 4213, 946, 513, 8101, 7535, 540, 7207, 547, 2824, 689, 267, 3976, 7175, 609, 519, 538, 1529, 322, 566, 689, 519, 1034, 2953, 2528, 538, 547, 519, 1576, 4103, 16291, 2593, 270, 3410, 1790, 3639, 16519, 1606, 1446, 10721, 2245, 269, 901, 4480, 6087, 519, 3476, 2165, 4648, 547, 2119, 9001, 3309, 12485, 538, 20547, 3875, 2175, 543, 3871, 630, 293, 889, 11253, 541, 267, 476, 1001, 274, 1040, 661, 19645, 568, 2392, 5344, 538, 519, 6284, 689, 519, 26837, 4192, 1249, 602, 11570, 1174, 519, 1318, 689, 741, 2833, 2016, 602, 519, 1062, 786, 581, 11295, 269, 661, 19645, 568, 6140, 513, 30973, 3926, 269, 898, 2306, 621, 2009, 585, 585, 602, 1035, 743, 11582, 540, 519, 1007, 11832, 2509, 519, 1870, 543, 2990, 269, 22895, 4315, 1131, 5828, 856, 547, 581, 3811, 5561, 693, 513, 14320, 18334, 32171, 1317, 789, 723, 513, 1480, 1373, 789, 1223, 5968, 547, 267, 2638, 609, 2055, 610, 5310, 4983, 22638, 885, 543, 581, 6026, 519, 3875, 3344, 540, 519, 1870, 269, 769, 1840, 267, 552, 19645, 786, 1450, 585, 519, 6497, 2465, 547, 3489, 513, 1259, 540, 22920, 602, 32338, 919, 538, 519, 4879, 543, 10372, 689, 519, 21927, 585, 519, 6497, 2465, 779, 1646, 269, 898, 2731, 568, 2556, 1282, 519, 3408, 689, 519, 1983, 1115, 540, 519, 5234, 2818, 267, 538, 1840, 607, 519, 4648, 630, 306, 3291, 17879, 267, 476, 1001, 275, 1040, 661, 19645, 10607, 519, 4398, 540, 2043, 1369, 606, 3919, 563, 292, 19645, 2636, 585, 9946, 547, 3575, 11207, 1114, 2553, 547, 3035, 513, 5697, 6662, 269, 898, 896, 6050, 519, 1249, 602, 972, 616, 513, 3099, 540, 2409, 799, 1522, 581, 1031, 538, 2679, 519, 2702, 540, 5767, 543, 1279, 2196, 7693, 540, 9946, 547, 5265, 7500, 519, 14078, 269, 12846, 267, 891, 552, 19645, 13467, 723, 513, 3099, 540, 1439, 2164, 543, 6286, 827, 519, 4398, 1369, 519, 3919, 269, 15907, 930, 4388, 666, 723, 10169, 3606, 5413, 982, 1082, 1866, 267, 741, 31675, 538, 1896, 4610, 568, 1510, 8969, 2386, 547, 1439, 1267, 538, 1114, 4145, 269, 28611, 267, 552, 19645, 19329, 519, 14226, 593, 519, 13267, 3344, 540, 519, 2409, 538, 606, 11769, 4352, 16701, 21899, 519, 13311, 2010, 269, 0, 19688, 568, 20351, 2667, 5435, 17607, 13600, 912, 29189, 783, 2667, 5435, 17607, 13600, 454, 29189, 783, 2667, 5435, 17607, 13600, 630, 6347, 4456, 264, 568, 4767, 1142, 4989, 269, 14408, 4456, 568, 4371, 547, 6318, 4656, 3823, 4638, 5208, 267, 607, 1134, 607, 2709, 6604, 2069, 269, 3807, 875, 7839, 568, 4638, 5208, 538, 938, 2197, 286, 5272, 476, 7176, 7643, 606, 1977, 568, 16770, 14213, 539, 269, 769, 1249, 267, 476, 272, 856, 540, 1169, 476, 277, 1977, 2021, 814, 1044, 519, 6408, 540, 606, 13986, 610, 6192, 22149, 269, 3958, 267, 476, 272, 538, 476, 3451, 2367, 723, 4810, 606, 13986, 610, 6192, 22149, 538, 741, 10715, 269, 630, 13126, 281, 8940, 269, 1778, 333, 3820, 23995, 520, 2524, 23218, 1112, 15501, 5498, 10745, 8686, 2723, 775, 1040, 769, 519, 2250, 1032, 267, 2368, 2897, 15822, 19443, 5176, 476, 12573, 2937, 543, 1126, 9601, 540, 4638, 5208, 267, 14226, 267, 610, 3023, 19338, 563, 31535, 713, 267, 1018, 666, 649, 798, 286, 1215, 666, 4638, 5208, 581, 15286, 286, 21744, 519, 968, 17884, 338, 892, 602, 6536, 513, 16770, 10795, 2528, 568, 1175, 835, 1259, 713, 949, 581, 12913, 269, 21744, 519, 2528, 568, 2009, 950, 649, 960, 1927, 267, 4497, 1007, 9739, 267, 543, 28487, 16167, 563, 1692, 666, 596, 948, 286, 8073, 1689, 538, 707, 2146, 676, 3274, 1818, 891, 1507, 2242, 538, 707, 1272, 267, 543, 11121, 1866, 547, 798, 519, 1482, 912, 1892, 8490, 2635, 543, 11215, 3347, 3248, 1892, 6340, 909, 950, 596, 5873, 5739, 8292, 3248, 1892, 2870, 11215, 4507, 538, 28737, 4882, 1041, 338, 282, 543, 2676, 1892, 10825, 519, 2262, 593, 1514, 2923, 563, 29310, 267, 649, 946, 938, 7104, 9739, 547, 4497, 1007, 9739, 267, 1689, 519, 2528, 267, 543, 2061, 4638, 14213, 563, 2252, 596, 610, 2576, 596, 917, 568, 519, 6408, 540, 4638, 14213, 610, 1776, 6760, 267, 5225, 3346, 707, 2199, 2368, 2897, 15822, 5604, 267, 610, 1289, 476, 272, 268, 8517, 268, 9032, 275, 268, 28178, 280, 269, 1280, 3606, 1344, 543, 2200, 585, 20351, 2667, 5435, 17607, 13600, 267, 5225, 3643, 281, 8940, 269, 985, 341, 21683, 3820, 563, 291, 2894, 8379, 667, 17751, 476, 1001, 278, 454, 4002, 4989, 476, 2918, 267, 476, 1001, 278, 267, 2368, 2897, 15822, 267, 2059, 609, 5215, 540, 2043, 543, 3906, 2066, 519, 2197, 267, 786, 7747, 9324, 574, 4303, 1282, 20351, 2667, 5435, 17607, 13600, 607, 513, 1259, 547, 8956, 543, 1489, 9601, 543, 15000, 540, 4638, 5208, 563, 3383, 267, 1018, 568, 9324, 574, 4303, 286, 9324, 574, 4303, 3459, 1310, 513, 15194, 676, 519, 7969, 10966, 7040, 267, 1141, 513, 22149, 24235, 729, 16765, 29354, 1317, 519, 3807, 1182, 5433, 2094, 519, 6408, 729, 9849, 9395, 14247, 753, 1352, 1590, 723, 5280, 1200, 30429, 4894, 873, 267, 7551, 31552, 9844, 269, 634, 1739, 1554, 267, 519, 2021, 538, 519, 7969, 12057, 3357, 547, 960, 9849, 14247, 753, 538, 17604, 609, 519, 6408, 269, 4595, 1287, 267, 9849, 14247, 753, 593, 9324, 574, 4303, 814, 1831, 513, 3090, 1996, 519, 20887, 540, 4638, 5208, 563, 763, 1390, 3377, 568, 602, 4888, 312, 24535, 666, 7119, 538, 9324, 574, 4303, 593, 4989, 476, 2918, 628, 2336, 268, 12160, 908, 568, 607, 2653, 607, 9849, 14247, 753, 547, 960, 267, 1153, 267, 610, 16382, 596, 979, 593, 4989, 476, 2918, 267, 476, 1001, 278, 607, 513, 7298, 3090, 540, 1489, 585, 15000, 540, 4638, 5208, 563, 268, 1411, 949, 849, 3442, 547, 1489, 2199, 9601, 543, 15000, 676, 26823, 3101, 9489, 585, 519, 968, 1440, 643, 850, 613, 892, 540, 9849, 14247, 753, 547, 960, 267, 1153, 267, 543, 10876, 596, 979, 593, 9324, 574, 4303, 269, 1411, 949, 2445, 968, 291, 3326, 1513, 585, 9324, 574, 892, 26823, 2471, 693, 960, 267, 1153, 267, 610, 1369, 707, 1895, 269, 623, 1194, 2471, 949, 581, 544, 9229, 610, 12628, 1055, 693, 707, 2199, 2368, 2897, 15822, 5604, 267, 610, 544, 9229, 547, 281, 2368, 2897, 15822, 267, 623, 20166, 269, 13340, 476, 279, 1428, 267, 674, 31867, 22484, 267, 30400, 476, 276, 4792, 4343, 268, 32146, 276, 563, 268, 18461, 1863, 547, 3346, 707, 2199, 2368, 2897, 15822, 5604, 610, 4757, 11333, 2593, 547, 7662, 29654, 543, 19297, 547, 948, 3262, 519, 2262, 827, 9324, 574, 4303, 543, 4196, 607, 513, 1390, 6643, 25690, 585, 2828, 267, 1920, 267, 9164, 267, 543, 15032, 547, 1865, 9324, 574, 4303, 543, 519, 2601, 3297, 621, 563, 268, 1411, 949, 849, 1397, 707, 1489, 676, 25640, 513, 4015, 540, 2123, 1416, 3688, 1369, 707, 1153, 267, 1895, 267, 610, 1747, 540, 7694, 269, 27294, 971, 607, 31576, 5622, 267, 30690, 267, 5694, 1962, 16640, 267, 26025, 267, 12853, 267, 632, 31121, 656, 267, 1019, 3639, 267, 530, 6346, 267, 3092, 269, 616, 4749, 2877, 676, 15000, 538, 938, 2199, 2950, 563, 5591, 2339, 875, 596, 1544, 547, 7119, 538, 9324, 574, 4303, 713, 1032, 267, 649, 4126, 596, 786, 948, 721, 3262, 519, 2262, 593, 1514, 2923, 543, 3314, 547, 2022, 707, 1948, 6577, 574, 1485, 7589, 6337, 593, 4989, 476, 2918, 267, 476, 1001, 278, 563, 2414, 7662, 9324, 574, 4303, 2326, 267, 5225, 3346, 707, 2199, 2368, 2897, 15822, 5604, 610, 4757, 18078, 17106, 11333, 3820, 563, 7775, 4945, 593, 519, 2592, 547, 519, 2451, 547, 1820, 707, 1378, 9324, 574, 4303, 19297, 2336, 28874, 2199, 15000, 540, 4638, 5208, 676, 11836, 2368, 2897, 15822, 693, 606, 4656, 2680, 610, 2508, 571, 16014, 538, 707, 2146, 713, 11354, 256, 1280, 811, 1344, 593, 4656, 2621, 543, 2508, 20333, 619, 538, 707, 2146, 267, 3643, 938, 2228, 2621, 11706, 610, 4945, 28313, 585, 513, 7792, 8430, 540, 2621, 563, 18704, 713, 2985, 0, 294, 664, 519, 4388, 267, 2645, 543, 6015, 547, 2911, 827, 2860, 609, 713, 1863, 2228, 1576, 689, 9435, 3194, 5177, 269, 32695, 827, 2860, 666, 581, 9157, 269, 1411, 1522, 581, 14126, 602, 596, 3580, 2161, 519, 4636, 3364, 610, 602, 596, 3274, 1810, 1406, 917, 2614, 827, 519, 1641, 269, 12344, 596, 1745, 18516, 827, 875, 519, 6643, 786, 979, 610, 596, 4076, 6836, 538, 519, 2250, 543, 1185, 513, 2352, 1995, 269, 9320, 596, 2461, 711, 1256, 2386, 952, 621, 779, 707, 2816, 563, 1103, 713, 1576, 267, 596, 3580, 1451, 875, 547, 5000, 1004, 547, 1118, 2635, 6197, 2242, 267, 1569, 2199, 2533, 610, 3643, 741, 4387, 16425, 952, 789, 5469, 2242, 547, 741, 1560, 269, 1411, 3580, 1020, 513, 2123, 1544, 585, 6158, 827, 2860, 543, 1141, 547, 1265, 6325, 1344, 563, 272, 538, 476, 273, 1004, 786, 1020, 2860, 538, 741, 10715, 267, 543, 693, 9435, 3194, 5177, 649, 1589, 621, 779, 1898, 547, 1205, 1004, 6158, 827, 519, 2068, 269, 901, 1576, 786, 2285, 596, 519, 4388, 267, 2645, 543, 6015, 547, 723, 2241, 267, 2500, 7391, 602, 1223, 948, 4688, 2729, 563, 9596, 609, 4966, 689, 9435, 3194, 5177, 454, 763, 1576, 786, 2721, 593, 519, 1702, 540, 4966, 689, 9435, 3194, 5177, 267, 3366, 676, 9435, 17607, 21541, 619, 609, 513, 5763, 540, 1995, 6158, 547, 2550, 267, 3885, 543, 1072, 4600, 269, 1411, 786, 2743, 1004, 609, 1101, 11804, 1995, 540, 6158, 827, 2860, 267, 6432, 538, 593, 1114, 7391, 543, 1451, 1655, 2853, 585, 7234, 2860, 563, 30395, 909, 6015, 547, 2911, 827, 2860, 454, 1607, 1863, 2228, 1576, 786, 948, 596, 912, 268, 1174, 519, 5013, 454, 268, 1020, 707, 1935, 454, 268, 2671, 1434, 2259, 454, 268, 543, 1628, 707, 6015, 454, 7021, 519, 1576, 540, 476, 274, 4374, 267, 649, 786, 16491, 596, 609, 4388, 543, 2645, 547, 2911, 827, 2860, 1510, 4743, 19849, 21724, 610, 26101, 267, 7175, 596, 547, 1118, 513, 1483, 3017, 547, 1004, 779, 2729, 563, 1607, 1576, 568, 5078, 585, 4896, 609, 606, 1719, 538, 6158, 827, 2860, 543, 666, 948, 609, 7391, 827, 1072, 609, 1920, 267, 2828, 543, 9164, 269, 634, 1576, 1281, 711, 2154, 1022, 3105, 1995, 540, 713, 1641, 563, 7021, 476, 4335, 267, 1822, 1004, 538, 519, 2136, 2276, 543, 936, 476, 279, 2929, 1004, 5001, 616, 12955, 1169, 1032, 689, 2860, 269, 1306, 1004 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 772, 4594, 320, 585, 4267, 269, 4595, 519, 772, 4594, 320, 917, 519, 1202, 543, 16080, 540, 9099, 5389, 267, 789, 666, 2709, 2312, 5528, 1759, 593, 1296, 540, 6297, 1382, 543, 7664, 780, 763, 772, 4594, 320, 849, 4196, 607, 3401, 538, 9923, 13196, 267, 3506, 267, 543, 824, 9099, 5238, 1141, 789, 949, 2285, 15872, 267, 1291, 19001, 267, 610, 1256, 4383, 18083, 2687, 547, 9099, 3741, 269, 2368, 4583, 772, 4594, 320, 2429, 1686, 723, 2854, 9565, 2835, 610, 3964, 12021, 9945, 1141, 2104, 5481, 3136, 547, 1451, 827, 741, 5132, 780, 2414, 948, 721, 1174, 1175, 875, 3309, 543, 7839, 519, 3310, 540, 519, 772, 4594, 320, 568, 267, 1577, 781, 1413, 693, 930, 2656, 1806, 1384, 265, 1955, 600, 645, 4157, 327, 926, 267, 4535, 538, 2413, 6377, 772, 345, 31990, 6017, 1472, 476, 279, 1015, 9460, 267, 6170, 1034, 540, 1010, 1272, 10707, 2066, 519, 5664, 5101, 10655, 5215, 540, 1185, 603, 338, 267, 5555, 735, 4979, 873, 883, 835, 540, 519, 3670, 2101, 10070, 6444, 676, 6129, 14269, 12356, 5001, 563, 265, 681, 26619, 267, 513, 10564, 4535, 538, 15787, 538, 476, 6344, 278, 9460, 267, 2968, 835, 540, 519, 6574, 7793, 545, 15023, 538, 519, 1686, 540, 5771, 1310, 23928, 1524, 538, 1459, 6377, 11894, 269, 3571, 1568, 2611, 4922, 2442, 2221, 1813, 547, 741, 1445, 593, 2648, 267, 10892, 267, 543, 1582, 16531, 563, 265, 594, 16818, 570, 599, 332, 12011, 344, 1695, 267, 513, 10120, 16159, 4535, 538, 1699, 6377, 16850, 538, 476, 14695, 274, 9460, 267, 5129, 513, 1713, 1909, 538, 5935, 2413, 12496, 540, 5771, 269, 1261, 15091, 13059, 547, 519, 3312, 2959, 540, 519, 5132, 1247, 15268, 547, 4657, 2053, 1107, 513, 5133, 3838, 676, 1082, 15061, 5322, 2221, 780, 4322, 2984, 9414, 875, 519, 772, 4594, 320, 2097, 689, 1585, 10080, 543, 3565, 8335, 547, 519, 3638, 13795, 540, 9099, 2219, 543, 2528, 269, 4256, 11428, 547, 14172, 5849, 602, 519, 7326, 540, 519, 2250, 5170, 547, 3391, 1007, 5481, 607, 789, 6330, 741, 1378, 10092, 1369, 519, 6626, 2796, 540, 519, 2518, 772, 7825, 1695, 630, 15404, 3916, 2146, 6393, 3383, 1985, 942, 596, 5873, 519, 2262, 834, 308, 4594, 320, 2437, 3314, 602, 891, 616, 2027, 2043, 945, 25058, 741, 2729, 547, 1732, 1620, 543, 4687, 519, 5898, 540, 5771, 609, 1866, 269, 6787, 16460, 2055, 267, 3056, 7249, 2958, 1049, 19001, 267, 3450, 1053, 267, 610, 1313, 327, 1681, 14262, 1568, 267, 519, 1764, 540, 519, 772, 4594, 320, 3112, 581, 936, 26061, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 568, 5771, 286, 589, 4984, 286, 589, 10340, 286, 589, 1514, 1931, 286, 589, 1106, 540, 1272, 286, 589, 18843, 540, 1158, 1686, 286, 589, 4015, 540, 5289, 8456, 4448, 1152, 676, 513, 1455, 27527, 585, 17124, 543, 519, 20845, 286, 7102, 2245, 799, 10301, 689, 7354, 20235, 543, 25157, 998, 5527, 543, 11894, 547, 9459, 267, 3127, 267, 543, 12868, 267, 799, 11498, 689, 519, 18749, 2540, 547, 519, 14206, 267, 799, 814, 6537, 593, 17194, 267, 20850, 8567, 267, 5259, 6138, 267, 18420, 267, 26768, 25384, 1143, 267, 5053, 7214, 1143, 267, 543, 519, 9814, 1381, 338, 540, 3504, 30111, 267, 799, 814, 19347, 693, 2547, 513, 3368, 18797, 23693, 689, 2806, 21353, 573, 547, 16368, 267, 543, 799, 814, 1044, 3656, 2065, 267, 25386, 267, 7787, 626, 267, 543, 9246, 1738, 676, 7140, 267, 568, 5693, 711, 11593, 6353, 267, 1498, 621, 782, 1932, 1419, 814, 1044, 563, 300, 6702, 718, 32095, 326, 5459, 267, 945, 729, 28579, 540, 519, 9730, 593, 4317, 23539, 693, 519, 2160, 540, 9628, 2394, 1010, 13249, 2669, 693, 17288, 5498, 1597, 538, 476, 3422, 279, 267, 543, 4171, 20100, 267, 1631, 6368, 3370, 267, 4564, 519, 1152, 3978, 3801, 538, 2296, 547, 513, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 308, 4594, 320, 630, 26576, 545, 18623, 17983, 607, 851, 540, 834, 32628, 1315, 5771, 1315, 6129, 14269, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 1007, 543, 3078, 1576, 782, 827, 4742, 1732, 3988, 543, 5830, 256, 901, 1770, 786, 948, 596, 1451, 875, 547, 1224, 543, 2328, 899, 513, 605, 267, 1175, 899, 2852, 1053, 798, 269, 1284, 3513, 979, 1900, 676, 1900, 865, 602, 621, 781, 2653, 890, 6470, 585, 596, 547, 1174, 269, 2913, 781, 4685, 1318, 883, 621, 2439, 1262, 8512, 594, 281, 7335, 6145, 513, 5441, 9906, 4373, 5970, 596, 2479, 9289, 1018, 2306, 2576, 513, 1434, 5467, 286, 898, 781, 811, 982, 1175, 1373, 2111, 547, 3280, 856, 1913, 610, 1224, 3533, 269, 589, 1390, 5467, 666, 5963, 1174, 1018, 789, 616, 2542, 543, 1256, 1589, 7184, 827, 621, 269, 2334, 781, 4010, 1018, 649, 1616, 547, 4001, 596, 1934, 256, 1924, 1577, 781, 1376, 676, 3168, 693, 1614, 1292, 3344, 540, 2178, 2542, 1384, 272, 269, 2878, 4467, 11772, 542, 5093, 4197, 1018, 596, 723, 1224, 269, 1677, 2087, 707, 8223, 267, 2119, 6998, 3054, 2055, 607, 596, 1224, 269, 1280, 1383, 267, 834, 1432, 1705, 594, 1175, 1451, 8119, 610, 834, 3963, 1281, 713, 2339, 8119, 1411, 666, 849, 1491, 4967, 1247, 2542, 547, 3314, 1271, 3877, 563, 273, 269, 2878, 27287, 15154, 5093, 1306, 6362, 15826, 2055, 543, 8108, 8369, 827, 519, 1257, 269, 8347, 547, 4137, 856, 1946, 519, 2278, 5206, 1945, 513, 1978, 1259, 610, 952, 972, 1522, 581, 824, 16752, 269, 9861, 8049, 2337, 1628, 707, 2565, 3206, 6091, 2336, 274, 269, 2878, 11328, 9146, 9737, 7335, 543, 5675, 5093, 6153, 3988, 1419, 1921, 741, 4555, 827, 513, 1257, 547, 741, 1378, 2833, 610, 1919, 789, 2907, 917, 269, 1358, 949, 849, 946, 891, 4296, 950, 1603, 827, 1018, 789, 4312, 1224, 780, 3086, 602, 649, 4312, 14437, 827, 519, 9238, 267, 1577, 781, 1294, 873, 538, 2962, 256, 5994, 596, 2811, 2542, 513, 1433, 827, 17701, 945, 3605, 513, 6456, 6532, 269, 3371, 781, 875, 596, 1223, 4019, 1346, 3344, 1384, 265, 2608, 4467, 11772, 542, 15846, 9105, 3054, 2055, 899, 267, 834, 8489, 1705, 519, 17701, 2097, 689, 8119, 610, 834, 1692, 1705, 789, 1265, 519, 6532, 8119, 5269, 2386, 596, 1174, 519, 1650, 1354, 3001, 593, 563, 265, 2608, 27287, 15154, 15846, 24090, 1946, 519, 4589, 8359, 1808, 3877, 827, 519, 17701, 610, 519, 6532, 269, 9320, 2307, 3054, 952, 596, 3858, 609, 519, 3664, 1500, 676, 519, 3197, 543, 2491, 1946, 563, 265, 2608, 20091, 1299, 5675, 17583, 15846, 3503, 1524, 930, 4277, 5013, 610, 1187, 6863, 1913, 596, 4121, 1282, 707, 2542, 942, 269, 13536, 267, 2671, 891, 4681, 609, 2828, 610, 1920, 2818, 2439, 1262, 8512, 4083, 281, 5675, 6145, 513, 1160, 4373, 16240, 3085, 1405, 723, 547, 1745, 11566, 282, 3079, 267, 2736, 621, 909, 883, 4130, 2694, 256, 1879, 2324, 593, 606, 1557, 267, 1832, 538, 2247, 1079, 1898, 2609, 281, 4058, 543, 2847, 2358, 780, 272, 269, 2878, 5522, 8911, 4995, 6969, 8380, 4050, 547, 1957, 630, 528, 11263, 547, 13691, 1070, 16540, 2093, 543, 1711, 606, 7291, 269, 1323, 7291, 6411, 899, 513, 4786, 13057, 596, 998, 707, 1557, 269, 6056, 540, 621, 607, 14045, 1141, 1142, 5037, 786, 1291, 543, 922, 3483, 1369, 519, 4062, 563, 273, 269, 2878, 3725, 341, 2358, 4995, 5213, 1405, 5855, 827, 1818, 3388, 3501, 519, 1101, 942, 1472, 256, 4279, 5830, 2141, 2689, 543, 12575, 741, 960, 2789, 2053, 269, 6744, 585, 9355, 267, 3919, 267, 8239, 267, 10259, 267, 543, 18685, 6959, 269, 5457, 267, 2847, 2358, 1797, 1191, 4370, 1107, 2285, 3054, 10479, 547, 1689, 4376, 2877, 547, 7794, 707, 1603, 2439, 4131, 781, 1413, 1394, 693, 938, 24413, 1650, 543, 2490, 621, 883, 606, 1557, 1210, 891, 3268, 1384, 265, 23945, 15846, 32341, 593, 707, 1292, 2856, 269, 12344, 596, 1616, 547, 8044, 602, 3408, 3340, 22838, 855, 3006, 5012, 547, 27644, 4539, 269, 808, 582, 1524, 5885, 2798, 543, 2963, 689, 519, 1433, 780, 265, 291, 2761, 15846, 5029, 1125, 707, 4555, 2687, 547, 519, 1544, 269, 8073, 606, 4367, 267, 1560, 5037, 4433, 1070, 543, 3932, 269, 2142, 2386, 547, 1020, 707, 7440, 5693, 2429, 780, 265, 3725, 341, 1047, 15846, 5623, 707, 8908, 5402, 269, 3657, 707, 2093, 1134, 6462, 286, 1772, 519, 2095, 9266, 286, 22043, 1022, 9073, 1336, 2059, 519, 1259, 269, 19244, 2394, 13854, 780, 4517, 21350, 10042, 256, 2060, 5059, 4674, 593, 1312, 2542, 543, 1603, 2553, 267, 596, 2811, 1631, 4712, 547, 10994, 4081, 2591, 899, 513, 3020, 16159, 269, 5901, 8026, 267, 3251, 8049, 267, 543, 2972, 519, 3460, 6619, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 17809, 1938, 6905, 2259, 609, 4081, 1603, 1759, 593, 2852, 7400, 5931, 269, 634, 1576, 17613, 519, 5872, 1063, 2565, 2542, 267, 1603, 267, 543, 3206, 269, 634, 1576, 3091, 11295, 2259, 543, 1489, 609, 1603, 4081, 3594, 267, 5355, 2542, 8223, 267, 543, 2810, 2565, 2542, 1983, 547, 8011, 538, 2104, 2852, 4081, 4247, 269, 4841, 616, 11461, 547, 1831, 8465, 267, 8746, 267, 543, 4830, 3988, 543, 5830, 563, 23220, 4925, 519, 7471, 1935, 547, 519, 1646, 540, 3742, 2542, 543, 1603, 2994, 585, 519, 4247, 543, 5931, 1053, 7237, 538, 2852, 269, 634, 1576, 17613, 519, 5872, 1851, 519, 5467, 267, 519, 1257, 267, 543, 519, 2796, 543, 835, 781, 2702, 547, 9691, 4431, 547, 513, 3099, 540, 1603, 3871, 269, 634, 1576, 9607, 2898, 11407, 543, 4845, 7400, 6927, 269, 4841, 616, 11461, 547, 1831, 4830, 3988, 543, 5830, 563, 17809, 1938, 29433, 2542, 543, 1603, 1489, 585, 1053, 1071, 10276, 9776, 538, 2296, 23531, 630, 2894, 21923, 476, 6200, 1040, 634, 1330, 338, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 476, 275, 269, 272, 19080, 12856, 543, 9257, 281, 589, 10003, 14090, 547, 11773, 692, 2026, 513, 19023, 3318, 610, 11001, 267, 596, 1174, 519, 2956, 540, 13167, 513, 1134, 3613, 19099, 543, 6896, 5098, 269, 901, 13654, 2460, 711, 1152, 5849, 513, 9266, 2095, 540, 2093, 855, 849, 16881, 2312, 2792, 540, 1950, 2035, 547, 1312, 4274, 543, 1875, 7721, 13630, 9458, 269, 769, 713, 3296, 267, 649, 5490, 883, 519, 14960, 540, 1785, 1005, 543, 12180, 707, 5098, 267, 5373, 2390, 1483, 8996, 1806, 543, 5969, 12967, 1382, 4681, 269, 1284, 9691, 5659, 17888, 9840, 1369, 24243, 3823, 1655, 2853, 543, 2709, 29829, 4030, 3358, 4481, 585, 4648, 543, 3173, 5665, 693, 519, 5207, 3235, 3559, 976, 540, 741, 9757, 4610, 780, 6524, 11362, 2212, 14140, 883, 519, 1295, 583, 23706, 540, 11249, 543, 24152, 267, 621, 568, 1898, 547, 3715, 606, 936, 31186, 5943, 602, 10274, 707, 1935, 547, 14335, 513, 17396, 543, 524, 690, 550, 4661, 269, 1677, 3035, 713, 1439, 267, 2015, 12561, 519, 1739, 29685, 607, 513, 4358, 1448, 1384, 296, 269, 4985, 454, 288, 269, 17461, 6176, 454, 289, 269, 9046, 15048, 1299, 3194, 29361, 454, 290, 269, 20505, 1299, 23738, 12330, 454, 291, 269, 6396, 1108, 11137, 454, 292, 269, 19043, 1299, 19928, 1903, 454, 293, 269, 7799, 14591, 1299, 8892, 19648, 454, 294, 269, 3848, 20895, 692, 2862, 269, 9085, 5623, 454, 288, 269, 8466, 12745, 454, 289, 269, 6206, 16610, 1299, 28636, 454, 290, 269, 10765, 3763, 906, 1299, 12367, 454, 291, 269, 2552, 7337, 625, 1299, 13891, 919, 454, 292 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12613, 269, 7690, 5729, 281, 476, 4366, 268, 7761, 17459, 3008, 13545, 858, 2798, 563, 17220, 7127, 4170, 912, 2252, 2296, 568, 711, 707, 1101, 1893, 596, 21485, 961, 991, 28568, 630, 10907, 27854, 264, 476, 277, 269, 271, 609, 513, 5934, 540, 476, 276, 269, 276, 538, 1142, 540, 519, 3334, 610, 6697, 563, 14946, 513, 1134, 25454, 1702, 540, 782, 2127, 540, 6530, 454, 9596, 513, 2039, 540, 1382, 1983, 543, 2409, 547, 8495, 2757, 543, 2228, 7180, 543, 4019, 602, 1702, 538, 513, 3099, 540, 8658, 1107, 1519, 707, 1378, 4830, 1382, 454, 8196, 1533, 6361, 7308, 1148, 6703, 971, 607, 3750, 9477, 2029, 547, 948, 596, 1174, 875, 1004, 267, 2516, 267, 14540, 543, 7239, 2170, 609, 267, 543, 1118, 946, 540, 267, 2029, 454, 13480, 609, 1158, 6122, 8172, 678, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 22492, 4065, 20126, 257, 607, 851, 540, 834, 3633, 24102, 1315, 3194, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8702, 547, 938, 3408, 540, 29478, 2575, 256, 1411, 1522, 1589, 540, 29478, 607, 1175, 513, 1826, 540, 7544, 267, 855, 1705, 596, 917, 602, 972, 616, 1114, 6163, 540, 2575, 602, 979, 2059, 609, 621, 286, 3807, 899, 875, 972, 616, 1082, 2010, 540, 1402, 2575, 267, 971, 607, 4224, 267, 22850, 267, 543, 2197, 267, 972, 616, 849, 1585, 5686, 540, 29478, 2575, 269, 4653, 267, 649, 786, 4685, 883, 835, 1880, 2511, 1572, 834, 305, 558, 656, 3821, 1701, 1924, 10544, 707, 30069, 543, 1577, 781, 1205, 3323, 2439, 5575, 267, 1018, 1281, 621, 1611, 950, 649, 2161, 834, 305, 558, 4842, 257, 538, 6935, 547, 29478, 2575, 286, 715, 2100, 267, 713, 3085, 1405, 723, 4376, 547, 798, 609, 2648, 344, 1673, 913, 344, 4606, 630, 8117, 9327, 1405, 602, 581, 1187, 26834, 1040, 5502, 267, 21434, 4016, 547, 513, 1974, 540, 942, 1765, 19925, 519, 476, 5197, 271, 338, 1765, 15290, 1004, 3459, 2870, 1148, 543, 3332, 4904, 609, 7553, 267, 9345, 267, 543, 1367, 1143, 269, 901, 3350, 3262, 547, 2575, 1932, 267, 4611, 538, 4190, 4773, 602, 18427, 2620, 4664, 1369, 721, 269, 2334, 781, 1946, 7931, 656, 3821, 29478, 2575, 4992, 865, 10565, 543, 9159, 2439, 3086, 4952, 1373, 693, 513, 29478, 2773, 1141, 789, 1404, 7931, 656, 3821, 2575, 1107, 2673, 707, 4064, 543, 4605, 621, 1862, 634, 32316, 4249, 2571, 267, 9543, 4967, 593, 12673, 543, 12798, 1247, 25249, 1000, 20071, 30780, 2066, 519, 3942, 269, 2353, 540, 6727, 267, 536, 600, 256, 589, 3532, 524, 637, 25728, 334, 11199, 14186, 267, 11423, 519, 4055, 609, 1648, 543, 6612, 269, 1215, 3579, 568, 602, 286, 1635, 1210, 1312, 10978, 543, 9602, 4992, 267, 3728, 543, 3500, 18819, 267, 543, 1585, 7574, 2609, 267, 25803, 1711, 20605, 2984, 998, 741, 2575, 780, 4131, 803, 2285, 596, 930, 4583, 1806, 540, 7931, 656, 3821, 2545, 7410, 269, 5620, 596, 2479, 4862, 540, 4210, 534, 8235, 267, 12619, 532, 25925, 267, 610, 634, 25326, 28755, 14982, 286, 1403, 1346, 4408, 8258, 513, 11350, 267, 1287, 7249, 17894, 256, 1411, 2907, 917, 827, 1614, 11599, 7931, 656, 3821, 2545, 7410, 256, 1290, 1842, 619, 899, 570, 15939, 1731, 990, 20391, 543, 5548, 756, 525, 2813, 891, 9589, 8464, 799, 1869, 17134, 656, 9458, 2221, 780, 3719, 1934, 2501, 519, 2929, 13362, 2243, 910, 875, 666, 9358, 2972, 7931, 656, 3821, 29478, 2575, 1256, 811, 286, 4270, 1250, 3659, 267, 594, 6415, 19914, 596, 4280, 256, 1703, 616, 1896, 2081, 547, 23365, 3054, 538, 713, 8748, 1158, 1384, 272, 269, 19415, 8362, 281, 10925, 593, 707, 5172, 4062, 540, 7931, 656, 3821, 29478, 2575, 543, 2731, 6432, 269, 8347, 547, 2697, 519, 7405, 1373, 5129, 267, 1246, 519, 23260, 267, 543, 2628, 3007, 547, 2242, 538, 4320, 543, 3432, 563, 273, 269, 6258, 922, 1686, 281, 11310, 2306, 3388, 1732, 256, 13028, 945, 7768, 519, 2575, 267, 950, 621, 729, 2854, 267, 543, 1018, 6273, 873, 269, 4197, 519, 2796, 786, 3986, 707, 6947, 1995, 563, 274, 269, 13772, 12644, 281, 2755, 1175, 6217, 519, 2575, 568, 1390, 267, 7487, 25249, 3142, 621, 547, 1272, 8591, 3178, 543, 2495, 269, 6744, 856, 24056, 2228, 610, 7390, 2199, 24299, 952, 2009, 563, 275, 269, 9523, 609, 2828, 281, 18421, 781, 811, 11791, 950, 3838, 609, 1866, 269, 29130, 707, 25097, 547, 7931, 656, 3821, 29478, 2575, 1282, 513, 18241, 1205, 2389, 6320, 269, 5808, 6487, 267, 6148, 596, 3513, 8141, 513, 1007, 7071, 585, 713, 15851, 1148, 1106, 2439, 3383, 972, 596, 723, 621, 267, 15210, 5467, 256, 10289, 7931, 656, 3821, 29478, 2575, 10741, 909, 9885, 547, 3638, 3140, 2796, 267, 3929, 3178, 267, 543, 11995, 9913, 269, 8414, 12423, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 18698, 7756, 8535, 2637, 637, 454, 8139, 519, 16844, 540, 8535, 454, 2691, 3695, 519, 1158, 540, 2575, 267, 621, 781, 1271, 547, 1174, 519, 3309, 2039, 540, 11964, 602, 2291, 269, 3245, 8106, 1623, 874, 23888, 547, 17615, 12048, 31022, 20054, 267, 1142, 9135, 3091, 513, 2189, 1995, 543, 6645, 513, 1114, 1650, 269, 8535, 11964, 666, 581, 3989, 607, 3982, 6688, 602, 1895, 1927, 8964, 543, 15885, 609, 2147, 4162, 269, 1452, 4162, 666, 1331, 519, 2511, 540, 7405, 1031, 267, 519, 11733, 543, 32171, 540, 519, 2575, 267, 543, 519, 2686, 7506, 602, 3337, 519, 9135, 563, 2414, 5963, 5660, 519, 4763, 540, 2575, 267, 621, 781, 5363, 547, 2263, 519, 8129, 543, 4720, 540, 1114, 11964, 269, 12465, 2575, 3029, 519, 5748, 540, 1082, 11964, 543, 9356, 519, 2686, 6561, 540, 1808, 4525, 610, 2950, 269, 1280, 1383, 267, 2757, 12563, 2575, 689, 8581, 814, 513, 3982, 3280, 543, 9423, 2245, 602, 5036, 621, 6306, 689, 824, 11964, 269, 674, 4288, 2575, 568, 1776, 4241, 9135, 602, 24025, 1019, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 4785, 2975, 1315, 2637, 637, 1299, 26505, 1315, 7195, 2280, 1315, 7931, 656, 3821, 29478, 2575, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]